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Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_bitreversal.c Normal file
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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_bitreversal.c
*
* Description: This file has common tables like Bitreverse, reciprocal etc which are used across different functions
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
#include "arm_common_tables.h"
/*
* @brief In-place bit reversal function.
* @param[in, out] *pSrc points to the in-place buffer of floating-point data type.
* @param[in] fftSize length of the FFT.
* @param[in] bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table.
* @param[in] *pBitRevTab points to the bit reversal table.
* @return none.
*/
void arm_bitreversal_f32(
float32_t * pSrc,
uint16_t fftSize,
uint16_t bitRevFactor,
uint16_t * pBitRevTab)
{
uint16_t fftLenBy2, fftLenBy2p1;
uint16_t i, j;
float32_t in;
/* Initializations */
j = 0u;
fftLenBy2 = fftSize >> 1u;
fftLenBy2p1 = (fftSize >> 1u) + 1u;
/* Bit Reversal Implementation */
for (i = 0u; i <= (fftLenBy2 - 2u); i += 2u)
{
if(i < j)
{
/* pSrc[i] <-> pSrc[j]; */
in = pSrc[2u * i];
pSrc[2u * i] = pSrc[2u * j];
pSrc[2u * j] = in;
/* pSrc[i+1u] <-> pSrc[j+1u] */
in = pSrc[(2u * i) + 1u];
pSrc[(2u * i) + 1u] = pSrc[(2u * j) + 1u];
pSrc[(2u * j) + 1u] = in;
/* pSrc[i+fftLenBy2p1] <-> pSrc[j+fftLenBy2p1] */
in = pSrc[2u * (i + fftLenBy2p1)];
pSrc[2u * (i + fftLenBy2p1)] = pSrc[2u * (j + fftLenBy2p1)];
pSrc[2u * (j + fftLenBy2p1)] = in;
/* pSrc[i+fftLenBy2p1+1u] <-> pSrc[j+fftLenBy2p1+1u] */
in = pSrc[(2u * (i + fftLenBy2p1)) + 1u];
pSrc[(2u * (i + fftLenBy2p1)) + 1u] =
pSrc[(2u * (j + fftLenBy2p1)) + 1u];
pSrc[(2u * (j + fftLenBy2p1)) + 1u] = in;
}
/* pSrc[i+1u] <-> pSrc[j+1u] */
in = pSrc[2u * (i + 1u)];
pSrc[2u * (i + 1u)] = pSrc[2u * (j + fftLenBy2)];
pSrc[2u * (j + fftLenBy2)] = in;
/* pSrc[i+2u] <-> pSrc[j+2u] */
in = pSrc[(2u * (i + 1u)) + 1u];
pSrc[(2u * (i + 1u)) + 1u] = pSrc[(2u * (j + fftLenBy2)) + 1u];
pSrc[(2u * (j + fftLenBy2)) + 1u] = in;
/* Reading the index for the bit reversal */
j = *pBitRevTab;
/* Updating the bit reversal index depending on the fft length */
pBitRevTab += bitRevFactor;
}
}
/*
* @brief In-place bit reversal function.
* @param[in, out] *pSrc points to the in-place buffer of Q31 data type.
* @param[in] fftLen length of the FFT.
* @param[in] bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table
* @param[in] *pBitRevTab points to bit reversal table.
* @return none.
*/
void arm_bitreversal_q31(
q31_t * pSrc,
uint32_t fftLen,
uint16_t bitRevFactor,
uint16_t * pBitRevTable)
{
uint32_t fftLenBy2, fftLenBy2p1, i, j;
q31_t in;
/* Initializations */
j = 0u;
fftLenBy2 = fftLen / 2u;
fftLenBy2p1 = (fftLen / 2u) + 1u;
/* Bit Reversal Implementation */
for (i = 0u; i <= (fftLenBy2 - 2u); i += 2u)
{
if(i < j)
{
/* pSrc[i] <-> pSrc[j]; */
in = pSrc[2u * i];
pSrc[2u * i] = pSrc[2u * j];
pSrc[2u * j] = in;
/* pSrc[i+1u] <-> pSrc[j+1u] */
in = pSrc[(2u * i) + 1u];
pSrc[(2u * i) + 1u] = pSrc[(2u * j) + 1u];
pSrc[(2u * j) + 1u] = in;
/* pSrc[i+fftLenBy2p1] <-> pSrc[j+fftLenBy2p1] */
in = pSrc[2u * (i + fftLenBy2p1)];
pSrc[2u * (i + fftLenBy2p1)] = pSrc[2u * (j + fftLenBy2p1)];
pSrc[2u * (j + fftLenBy2p1)] = in;
/* pSrc[i+fftLenBy2p1+1u] <-> pSrc[j+fftLenBy2p1+1u] */
in = pSrc[(2u * (i + fftLenBy2p1)) + 1u];
pSrc[(2u * (i + fftLenBy2p1)) + 1u] =
pSrc[(2u * (j + fftLenBy2p1)) + 1u];
pSrc[(2u * (j + fftLenBy2p1)) + 1u] = in;
}
/* pSrc[i+1u] <-> pSrc[j+1u] */
in = pSrc[2u * (i + 1u)];
pSrc[2u * (i + 1u)] = pSrc[2u * (j + fftLenBy2)];
pSrc[2u * (j + fftLenBy2)] = in;
/* pSrc[i+2u] <-> pSrc[j+2u] */
in = pSrc[(2u * (i + 1u)) + 1u];
pSrc[(2u * (i + 1u)) + 1u] = pSrc[(2u * (j + fftLenBy2)) + 1u];
pSrc[(2u * (j + fftLenBy2)) + 1u] = in;
/* Reading the index for the bit reversal */
j = *pBitRevTable;
/* Updating the bit reversal index depending on the fft length */
pBitRevTable += bitRevFactor;
}
}
/*
* @brief In-place bit reversal function.
* @param[in, out] *pSrc points to the in-place buffer of Q15 data type.
* @param[in] fftLen length of the FFT.
* @param[in] bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table
* @param[in] *pBitRevTab points to bit reversal table.
* @return none.
*/
void arm_bitreversal_q15(
q15_t * pSrc16,
uint32_t fftLen,
uint16_t bitRevFactor,
uint16_t * pBitRevTab)
{
q31_t *pSrc = (q31_t *) pSrc16;
q31_t in;
uint32_t fftLenBy2, fftLenBy2p1;
uint32_t i, j;
/* Initializations */
j = 0u;
fftLenBy2 = fftLen / 2u;
fftLenBy2p1 = (fftLen / 2u) + 1u;
/* Bit Reversal Implementation */
for (i = 0u; i <= (fftLenBy2 - 2u); i += 2u)
{
if(i < j)
{
/* pSrc[i] <-> pSrc[j]; */
/* pSrc[i+1u] <-> pSrc[j+1u] */
in = pSrc[i];
pSrc[i] = pSrc[j];
pSrc[j] = in;
/* pSrc[i + fftLenBy2p1] <-> pSrc[j + fftLenBy2p1]; */
/* pSrc[i + fftLenBy2p1+1u] <-> pSrc[j + fftLenBy2p1+1u] */
in = pSrc[i + fftLenBy2p1];
pSrc[i + fftLenBy2p1] = pSrc[j + fftLenBy2p1];
pSrc[j + fftLenBy2p1] = in;
}
/* pSrc[i+1u] <-> pSrc[j+fftLenBy2]; */
/* pSrc[i+2] <-> pSrc[j+fftLenBy2+1u] */
in = pSrc[i + 1u];
pSrc[i + 1u] = pSrc[j + fftLenBy2];
pSrc[j + fftLenBy2] = in;
/* Reading the index for the bit reversal */
j = *pBitRevTab;
/* Updating the bit reversal index depending on the fft length */
pBitRevTab += bitRevFactor;
}
}

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Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_f32.c Normal file
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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_cfft_f32.c
*
* Description: Combined Radix Decimation in Frequency CFFT Floating point processing function
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
#include "arm_common_tables.h"
extern void arm_radix8_butterfly_f32(
float32_t * pSrc,
uint16_t fftLen,
const float32_t * pCoef,
uint16_t twidCoefModifier);
extern void arm_bitreversal_32(
uint32_t * pSrc,
const uint16_t bitRevLen,
const uint16_t * pBitRevTable);
/**
* @ingroup groupTransforms
*/
/**
* @defgroup ComplexFFT Complex FFT Functions
*
* \par
* The Fast Fourier Transform (FFT) is an efficient algorithm for computing the
* Discrete Fourier Transform (DFT). The FFT can be orders of magnitude faster
* than the DFT, especially for long lengths.
* The algorithms described in this section
* operate on complex data. A separate set of functions is devoted to handling
* of real sequences.
* \par
* There are separate algorithms for handling floating-point, Q15, and Q31 data
* types. The algorithms available for each data type are described next.
* \par
* The FFT functions operate in-place. That is, the array holding the input data
* will also be used to hold the corresponding result. The input data is complex
* and contains <code>2*fftLen</code> interleaved values as shown below.
* <pre> {real[0], imag[0], real[1], imag[1],..} </pre>
* The FFT result will be contained in the same array and the frequency domain
* values will have the same interleaving.
*
* \par Floating-point
* The floating-point complex FFT uses a mixed-radix algorithm. Multiple radix-8
* stages are performed along with a single radix-2 or radix-4 stage, as needed.
* The algorithm supports lengths of [16, 32, 64, ..., 4096] and each length uses
* a different twiddle factor table.
* \par
* The function uses the standard FFT definition and output values may grow by a
* factor of <code>fftLen</code> when computing the forward transform. The
* inverse transform includes a scale of <code>1/fftLen</code> as part of the
* calculation and this matches the textbook definition of the inverse FFT.
* \par
* Pre-initialized data structures containing twiddle factors and bit reversal
* tables are provided and defined in <code>arm_const_structs.h</code>. Include
* this header in your function and then pass one of the constant structures as
* an argument to arm_cfft_f32. For example:
* \par
* <code>arm_cfft_f32(arm_cfft_sR_f32_len64, pSrc, 1, 1)</code>
* \par
* computes a 64-point inverse complex FFT including bit reversal.
* The data structures are treated as constant data and not modified during the
* calculation. The same data structure can be reused for multiple transforms
* including mixing forward and inverse transforms.
* \par
* Earlier releases of the library provided separate radix-2 and radix-4
* algorithms that operated on floating-point data. These functions are still
* provided but are deprecated. The older functions are slower and less general
* than the new functions.
* \par
* An example of initialization of the constants for the arm_cfft_f32 function follows:
* \code
* const static arm_cfft_instance_f32 *S;
* ...
* switch (length) {
* case 16:
* S = &arm_cfft_sR_f32_len16;
* break;
* case 32:
* S = &arm_cfft_sR_f32_len32;
* break;
* case 64:
* S = &arm_cfft_sR_f32_len64;
* break;
* case 128:
* S = &arm_cfft_sR_f32_len128;
* break;
* case 256:
* S = &arm_cfft_sR_f32_len256;
* break;
* case 512:
* S = &arm_cfft_sR_f32_len512;
* break;
* case 1024:
* S = &arm_cfft_sR_f32_len1024;
* break;
* case 2048:
* S = &arm_cfft_sR_f32_len2048;
* break;
* case 4096:
* S = &arm_cfft_sR_f32_len4096;
* break;
* }
* \endcode
* \par Q15 and Q31
* The floating-point complex FFT uses a mixed-radix algorithm. Multiple radix-4
* stages are performed along with a single radix-2 stage, as needed.
* The algorithm supports lengths of [16, 32, 64, ..., 4096] and each length uses
* a different twiddle factor table.
* \par
* The function uses the standard FFT definition and output values may grow by a
* factor of <code>fftLen</code> when computing the forward transform. The
* inverse transform includes a scale of <code>1/fftLen</code> as part of the
* calculation and this matches the textbook definition of the inverse FFT.
* \par
* Pre-initialized data structures containing twiddle factors and bit reversal
* tables are provided and defined in <code>arm_const_structs.h</code>. Include
* this header in your function and then pass one of the constant structures as
* an argument to arm_cfft_q31. For example:
* \par
* <code>arm_cfft_q31(arm_cfft_sR_q31_len64, pSrc, 1, 1)</code>
* \par
* computes a 64-point inverse complex FFT including bit reversal.
* The data structures are treated as constant data and not modified during the
* calculation. The same data structure can be reused for multiple transforms
* including mixing forward and inverse transforms.
* \par
* Earlier releases of the library provided separate radix-2 and radix-4
* algorithms that operated on floating-point data. These functions are still
* provided but are deprecated. The older functions are slower and less general
* than the new functions.
* \par
* An example of initialization of the constants for the arm_cfft_q31 function follows:
* \code
* const static arm_cfft_instance_q31 *S;
* ...
* switch (length) {
* case 16:
* S = &arm_cfft_sR_q31_len16;
* break;
* case 32:
* S = &arm_cfft_sR_q31_len32;
* break;
* case 64:
* S = &arm_cfft_sR_q31_len64;
* break;
* case 128:
* S = &arm_cfft_sR_q31_len128;
* break;
* case 256:
* S = &arm_cfft_sR_q31_len256;
* break;
* case 512:
* S = &arm_cfft_sR_q31_len512;
* break;
* case 1024:
* S = &arm_cfft_sR_q31_len1024;
* break;
* case 2048:
* S = &arm_cfft_sR_q31_len2048;
* break;
* case 4096:
* S = &arm_cfft_sR_q31_len4096;
* break;
* }
* \endcode
*
*/
void arm_cfft_radix8by2_f32( arm_cfft_instance_f32 * S, float32_t * p1)
{
uint32_t L = S->fftLen;
float32_t * pCol1, * pCol2, * pMid1, * pMid2;
float32_t * p2 = p1 + L;
const float32_t * tw = (float32_t *) S->pTwiddle;
float32_t t1[4], t2[4], t3[4], t4[4], twR, twI;
float32_t m0, m1, m2, m3;
uint32_t l;
pCol1 = p1;
pCol2 = p2;
// Define new length
L >>= 1;
// Initialize mid pointers
pMid1 = p1 + L;
pMid2 = p2 + L;
// do two dot Fourier transform
for ( l = L >> 2; l > 0; l-- )
{
t1[0] = p1[0];
t1[1] = p1[1];
t1[2] = p1[2];
t1[3] = p1[3];
t2[0] = p2[0];
t2[1] = p2[1];
t2[2] = p2[2];
t2[3] = p2[3];
t3[0] = pMid1[0];
t3[1] = pMid1[1];
t3[2] = pMid1[2];
t3[3] = pMid1[3];
t4[0] = pMid2[0];
t4[1] = pMid2[1];
t4[2] = pMid2[2];
t4[3] = pMid2[3];
*p1++ = t1[0] + t2[0];
*p1++ = t1[1] + t2[1];
*p1++ = t1[2] + t2[2];
*p1++ = t1[3] + t2[3]; // col 1
t2[0] = t1[0] - t2[0];
t2[1] = t1[1] - t2[1];
t2[2] = t1[2] - t2[2];
t2[3] = t1[3] - t2[3]; // for col 2
*pMid1++ = t3[0] + t4[0];
*pMid1++ = t3[1] + t4[1];
*pMid1++ = t3[2] + t4[2];
*pMid1++ = t3[3] + t4[3]; // col 1
t4[0] = t4[0] - t3[0];
t4[1] = t4[1] - t3[1];
t4[2] = t4[2] - t3[2];
t4[3] = t4[3] - t3[3]; // for col 2
twR = *tw++;
twI = *tw++;
// multiply by twiddle factors
m0 = t2[0] * twR;
m1 = t2[1] * twI;
m2 = t2[1] * twR;
m3 = t2[0] * twI;
// R = R * Tr - I * Ti
*p2++ = m0 + m1;
// I = I * Tr + R * Ti
*p2++ = m2 - m3;
// use vertical symmetry
// 0.9988 - 0.0491i <==> -0.0491 - 0.9988i
m0 = t4[0] * twI;
m1 = t4[1] * twR;
m2 = t4[1] * twI;
m3 = t4[0] * twR;
*pMid2++ = m0 - m1;
*pMid2++ = m2 + m3;
twR = *tw++;
twI = *tw++;
m0 = t2[2] * twR;
m1 = t2[3] * twI;
m2 = t2[3] * twR;
m3 = t2[2] * twI;
*p2++ = m0 + m1;
*p2++ = m2 - m3;
m0 = t4[2] * twI;
m1 = t4[3] * twR;
m2 = t4[3] * twI;
m3 = t4[2] * twR;
*pMid2++ = m0 - m1;
*pMid2++ = m2 + m3;
}
// first col
arm_radix8_butterfly_f32( pCol1, L, (float32_t *) S->pTwiddle, 2u);
// second col
arm_radix8_butterfly_f32( pCol2, L, (float32_t *) S->pTwiddle, 2u);
}
void arm_cfft_radix8by4_f32( arm_cfft_instance_f32 * S, float32_t * p1)
{
uint32_t L = S->fftLen >> 1;
float32_t * pCol1, *pCol2, *pCol3, *pCol4, *pEnd1, *pEnd2, *pEnd3, *pEnd4;
const float32_t *tw2, *tw3, *tw4;
float32_t * p2 = p1 + L;
float32_t * p3 = p2 + L;
float32_t * p4 = p3 + L;
float32_t t2[4], t3[4], t4[4], twR, twI;
float32_t p1ap3_0, p1sp3_0, p1ap3_1, p1sp3_1;
float32_t m0, m1, m2, m3;
uint32_t l, twMod2, twMod3, twMod4;
pCol1 = p1; // points to real values by default
pCol2 = p2;
pCol3 = p3;
pCol4 = p4;
pEnd1 = p2 - 1; // points to imaginary values by default
pEnd2 = p3 - 1;
pEnd3 = p4 - 1;
pEnd4 = pEnd3 + L;
tw2 = tw3 = tw4 = (float32_t *) S->pTwiddle;
L >>= 1;
// do four dot Fourier transform
twMod2 = 2;
twMod3 = 4;
twMod4 = 6;
// TOP
p1ap3_0 = p1[0] + p3[0];
p1sp3_0 = p1[0] - p3[0];
p1ap3_1 = p1[1] + p3[1];
p1sp3_1 = p1[1] - p3[1];
// col 2
t2[0] = p1sp3_0 + p2[1] - p4[1];
t2[1] = p1sp3_1 - p2[0] + p4[0];
// col 3
t3[0] = p1ap3_0 - p2[0] - p4[0];
t3[1] = p1ap3_1 - p2[1] - p4[1];
// col 4
t4[0] = p1sp3_0 - p2[1] + p4[1];
t4[1] = p1sp3_1 + p2[0] - p4[0];
// col 1
*p1++ = p1ap3_0 + p2[0] + p4[0];
*p1++ = p1ap3_1 + p2[1] + p4[1];
// Twiddle factors are ones
*p2++ = t2[0];
*p2++ = t2[1];
*p3++ = t3[0];
*p3++ = t3[1];
*p4++ = t4[0];
*p4++ = t4[1];
tw2 += twMod2;
tw3 += twMod3;
tw4 += twMod4;
for (l = (L - 2) >> 1; l > 0; l-- )
{
// TOP
p1ap3_0 = p1[0] + p3[0];
p1sp3_0 = p1[0] - p3[0];
p1ap3_1 = p1[1] + p3[1];
p1sp3_1 = p1[1] - p3[1];
// col 2
t2[0] = p1sp3_0 + p2[1] - p4[1];
t2[1] = p1sp3_1 - p2[0] + p4[0];
// col 3
t3[0] = p1ap3_0 - p2[0] - p4[0];
t3[1] = p1ap3_1 - p2[1] - p4[1];
// col 4
t4[0] = p1sp3_0 - p2[1] + p4[1];
t4[1] = p1sp3_1 + p2[0] - p4[0];
// col 1 - top
*p1++ = p1ap3_0 + p2[0] + p4[0];
*p1++ = p1ap3_1 + p2[1] + p4[1];
// BOTTOM
p1ap3_1 = pEnd1[-1] + pEnd3[-1];
p1sp3_1 = pEnd1[-1] - pEnd3[-1];
p1ap3_0 = pEnd1[0] + pEnd3[0];
p1sp3_0 = pEnd1[0] - pEnd3[0];
// col 2
t2[2] = pEnd2[0] - pEnd4[0] + p1sp3_1;
t2[3] = pEnd1[0] - pEnd3[0] - pEnd2[-1] + pEnd4[-1];
// col 3
t3[2] = p1ap3_1 - pEnd2[-1] - pEnd4[-1];
t3[3] = p1ap3_0 - pEnd2[0] - pEnd4[0];
// col 4
t4[2] = pEnd2[0] - pEnd4[0] - p1sp3_1;
t4[3] = pEnd4[-1] - pEnd2[-1] - p1sp3_0;
// col 1 - Bottom
*pEnd1-- = p1ap3_0 + pEnd2[0] + pEnd4[0];
*pEnd1-- = p1ap3_1 + pEnd2[-1] + pEnd4[-1];
// COL 2
// read twiddle factors
twR = *tw2++;
twI = *tw2++;
// multiply by twiddle factors
// let Z1 = a + i(b), Z2 = c + i(d)
// => Z1 * Z2 = (a*c - b*d) + i(b*c + a*d)
// Top
m0 = t2[0] * twR;
m1 = t2[1] * twI;
m2 = t2[1] * twR;
m3 = t2[0] * twI;
*p2++ = m0 + m1;
*p2++ = m2 - m3;
// use vertical symmetry col 2
// 0.9997 - 0.0245i <==> 0.0245 - 0.9997i
// Bottom
m0 = t2[3] * twI;
m1 = t2[2] * twR;
m2 = t2[2] * twI;
m3 = t2[3] * twR;
*pEnd2-- = m0 - m1;
*pEnd2-- = m2 + m3;
// COL 3
twR = tw3[0];
twI = tw3[1];
tw3 += twMod3;
// Top
m0 = t3[0] * twR;
m1 = t3[1] * twI;
m2 = t3[1] * twR;
m3 = t3[0] * twI;
*p3++ = m0 + m1;
*p3++ = m2 - m3;
// use vertical symmetry col 3
// 0.9988 - 0.0491i <==> -0.9988 - 0.0491i
// Bottom
m0 = -t3[3] * twR;
m1 = t3[2] * twI;
m2 = t3[2] * twR;
m3 = t3[3] * twI;
*pEnd3-- = m0 - m1;
*pEnd3-- = m3 - m2;
// COL 4
twR = tw4[0];
twI = tw4[1];
tw4 += twMod4;
// Top
m0 = t4[0] * twR;
m1 = t4[1] * twI;
m2 = t4[1] * twR;
m3 = t4[0] * twI;
*p4++ = m0 + m1;
*p4++ = m2 - m3;
// use vertical symmetry col 4
// 0.9973 - 0.0736i <==> -0.0736 + 0.9973i
// Bottom
m0 = t4[3] * twI;
m1 = t4[2] * twR;
m2 = t4[2] * twI;
m3 = t4[3] * twR;
*pEnd4-- = m0 - m1;
*pEnd4-- = m2 + m3;
}
//MIDDLE
// Twiddle factors are
// 1.0000 0.7071-0.7071i -1.0000i -0.7071-0.7071i
p1ap3_0 = p1[0] + p3[0];
p1sp3_0 = p1[0] - p3[0];
p1ap3_1 = p1[1] + p3[1];
p1sp3_1 = p1[1] - p3[1];
// col 2
t2[0] = p1sp3_0 + p2[1] - p4[1];
t2[1] = p1sp3_1 - p2[0] + p4[0];
// col 3
t3[0] = p1ap3_0 - p2[0] - p4[0];
t3[1] = p1ap3_1 - p2[1] - p4[1];
// col 4
t4[0] = p1sp3_0 - p2[1] + p4[1];
t4[1] = p1sp3_1 + p2[0] - p4[0];
// col 1 - Top
*p1++ = p1ap3_0 + p2[0] + p4[0];
*p1++ = p1ap3_1 + p2[1] + p4[1];
// COL 2
twR = tw2[0];
twI = tw2[1];
m0 = t2[0] * twR;
m1 = t2[1] * twI;
m2 = t2[1] * twR;
m3 = t2[0] * twI;
*p2++ = m0 + m1;
*p2++ = m2 - m3;
// COL 3
twR = tw3[0];
twI = tw3[1];
m0 = t3[0] * twR;
m1 = t3[1] * twI;
m2 = t3[1] * twR;
m3 = t3[0] * twI;
*p3++ = m0 + m1;
*p3++ = m2 - m3;
// COL 4
twR = tw4[0];
twI = tw4[1];
m0 = t4[0] * twR;
m1 = t4[1] * twI;
m2 = t4[1] * twR;
m3 = t4[0] * twI;
*p4++ = m0 + m1;
*p4++ = m2 - m3;
// first col
arm_radix8_butterfly_f32( pCol1, L, (float32_t *) S->pTwiddle, 4u);
// second col
arm_radix8_butterfly_f32( pCol2, L, (float32_t *) S->pTwiddle, 4u);
// third col
arm_radix8_butterfly_f32( pCol3, L, (float32_t *) S->pTwiddle, 4u);
// fourth col
arm_radix8_butterfly_f32( pCol4, L, (float32_t *) S->pTwiddle, 4u);
}
/**
* @addtogroup ComplexFFT
* @{
*/
/**
* @details
* @brief Processing function for the floating-point complex FFT.
* @param[in] *S points to an instance of the floating-point CFFT structure.
* @param[in, out] *p1 points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place.
* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.
* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.
* @return none.
*/
void arm_cfft_f32(
const arm_cfft_instance_f32 * S,
float32_t * p1,
uint8_t ifftFlag,
uint8_t bitReverseFlag)
{
uint32_t L = S->fftLen, l;
float32_t invL, * pSrc;
if(ifftFlag == 1u)
{
/* Conjugate input data */
pSrc = p1 + 1;
for(l=0; l<L; l++)
{
*pSrc = -*pSrc;
pSrc += 2;
}
}
switch (L)
{
case 16:
case 128:
case 1024:
arm_cfft_radix8by2_f32 ( (arm_cfft_instance_f32 *) S, p1);
break;
case 32:
case 256:
case 2048:
arm_cfft_radix8by4_f32 ( (arm_cfft_instance_f32 *) S, p1);
break;
case 64:
case 512:
case 4096:
arm_radix8_butterfly_f32( p1, L, (float32_t *) S->pTwiddle, 1);
break;
}
if( bitReverseFlag )
arm_bitreversal_32((uint32_t*)p1,S->bitRevLength,S->pBitRevTable);
if(ifftFlag == 1u)
{
invL = 1.0f/(float32_t)L;
/* Conjugate and scale output data */
pSrc = p1;
for(l=0; l<L; l++)
{
*pSrc++ *= invL ;
*pSrc = -(*pSrc) * invL;
pSrc++;
}
}
}
/**
* @} end of ComplexFFT group
*/

357
Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_q15.c Normal file
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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_cfft_q15.c
*
* Description: Combined Radix Decimation in Q15 Frequency CFFT processing function
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
extern void arm_radix4_butterfly_q15(
q15_t * pSrc,
uint32_t fftLen,
q15_t * pCoef,
uint32_t twidCoefModifier);
extern void arm_radix4_butterfly_inverse_q15(
q15_t * pSrc,
uint32_t fftLen,
q15_t * pCoef,
uint32_t twidCoefModifier);
extern void arm_bitreversal_16(
uint16_t * pSrc,
const uint16_t bitRevLen,
const uint16_t * pBitRevTable);
void arm_cfft_radix4by2_q15(
q15_t * pSrc,
uint32_t fftLen,
const q15_t * pCoef);
void arm_cfft_radix4by2_inverse_q15(
q15_t * pSrc,
uint32_t fftLen,
const q15_t * pCoef);
/**
* @ingroup groupTransforms
*/
/**
* @addtogroup ComplexFFT
* @{
*/
/**
* @details
* @brief Processing function for the Q15 complex FFT.
* @param[in] *S points to an instance of the Q15 CFFT structure.
* @param[in, out] *p1 points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place.
* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.
* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.
* @return none.
*/
void arm_cfft_q15(
const arm_cfft_instance_q15 * S,
q15_t * p1,
uint8_t ifftFlag,
uint8_t bitReverseFlag)
{
uint32_t L = S->fftLen;
if(ifftFlag == 1u)
{
switch (L)
{
case 16:
case 64:
case 256:
case 1024:
case 4096:
arm_radix4_butterfly_inverse_q15 ( p1, L, (q15_t*)S->pTwiddle, 1 );
break;
case 32:
case 128:
case 512:
case 2048:
arm_cfft_radix4by2_inverse_q15 ( p1, L, S->pTwiddle );
break;
}
}
else
{
switch (L)
{
case 16:
case 64:
case 256:
case 1024:
case 4096:
arm_radix4_butterfly_q15 ( p1, L, (q15_t*)S->pTwiddle, 1 );
break;
case 32:
case 128:
case 512:
case 2048:
arm_cfft_radix4by2_q15 ( p1, L, S->pTwiddle );
break;
}
}
if( bitReverseFlag )
arm_bitreversal_16((uint16_t*)p1,S->bitRevLength,S->pBitRevTable);
}
/**
* @} end of ComplexFFT group
*/
void arm_cfft_radix4by2_q15(
q15_t * pSrc,
uint32_t fftLen,
const q15_t * pCoef)
{
uint32_t i;
uint32_t n2;
q15_t p0, p1, p2, p3;
#ifndef ARM_MATH_CM0_FAMILY
q31_t T, S, R;
q31_t coeff, out1, out2;
const q15_t *pC = pCoef;
q15_t *pSi = pSrc;
q15_t *pSl = pSrc + fftLen;
#else
uint32_t ia, l;
q15_t xt, yt, cosVal, sinVal;
#endif
n2 = fftLen >> 1;
#ifndef ARM_MATH_CM0_FAMILY
for (i = n2; i > 0; i--)
{
coeff = _SIMD32_OFFSET(pC);
pC += 2;
T = _SIMD32_OFFSET(pSi);
T = __SHADD16(T, 0); // this is just a SIMD arithmetic shift right by 1
S = _SIMD32_OFFSET(pSl);
S = __SHADD16(S, 0); // this is just a SIMD arithmetic shift right by 1
R = __QSUB16(T, S);
_SIMD32_OFFSET(pSi) = __SHADD16(T, S);
pSi += 2;
#ifndef ARM_MATH_BIG_ENDIAN
out1 = __SMUAD(coeff, R) >> 16;
out2 = __SMUSDX(coeff, R);
#else
out1 = __SMUSDX(R, coeff) >> 16u;
out2 = __SMUAD(coeff, R);
#endif // #ifndef ARM_MATH_BIG_ENDIAN
_SIMD32_OFFSET(pSl) =
(q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
pSl += 2;
}
#else // #ifndef ARM_MATH_CM0_FAMILY
ia = 0;
for (i = 0; i < n2; i++)
{
cosVal = pCoef[ia * 2];
sinVal = pCoef[(ia * 2) + 1];
ia++;
l = i + n2;
xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
pSrc[2 * i + 1] =
((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) +
((int16_t) (((q31_t) yt * sinVal) >> 16)));
pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) -
((int16_t) (((q31_t) xt * sinVal) >> 16)));
}
#endif // #ifndef ARM_MATH_CM0_FAMILY
// first col
arm_radix4_butterfly_q15( pSrc, n2, (q15_t*)pCoef, 2u);
// second col
arm_radix4_butterfly_q15( pSrc + fftLen, n2, (q15_t*)pCoef, 2u);
for (i = 0; i < fftLen >> 1; i++)
{
p0 = pSrc[4*i+0];
p1 = pSrc[4*i+1];
p2 = pSrc[4*i+2];
p3 = pSrc[4*i+3];
p0 <<= 1;
p1 <<= 1;
p2 <<= 1;
p3 <<= 1;
pSrc[4*i+0] = p0;
pSrc[4*i+1] = p1;
pSrc[4*i+2] = p2;
pSrc[4*i+3] = p3;
}
}
void arm_cfft_radix4by2_inverse_q15(
q15_t * pSrc,
uint32_t fftLen,
const q15_t * pCoef)
{
uint32_t i;
uint32_t n2;
q15_t p0, p1, p2, p3;
#ifndef ARM_MATH_CM0_FAMILY
q31_t T, S, R;
q31_t coeff, out1, out2;
const q15_t *pC = pCoef;
q15_t *pSi = pSrc;
q15_t *pSl = pSrc + fftLen;
#else
uint32_t ia, l;
q15_t xt, yt, cosVal, sinVal;
#endif
n2 = fftLen >> 1;
#ifndef ARM_MATH_CM0_FAMILY
for (i = n2; i > 0; i--)
{
coeff = _SIMD32_OFFSET(pC);
pC += 2;
T = _SIMD32_OFFSET(pSi);
T = __SHADD16(T, 0); // this is just a SIMD arithmetic shift right by 1
S = _SIMD32_OFFSET(pSl);
S = __SHADD16(S, 0); // this is just a SIMD arithmetic shift right by 1
R = __QSUB16(T, S);
_SIMD32_OFFSET(pSi) = __SHADD16(T, S);
pSi += 2;
#ifndef ARM_MATH_BIG_ENDIAN
out1 = __SMUSD(coeff, R) >> 16;
out2 = __SMUADX(coeff, R);
#else
out1 = __SMUADX(R, coeff) >> 16u;
out2 = __SMUSD(__QSUB(0, coeff), R);
#endif // #ifndef ARM_MATH_BIG_ENDIAN
_SIMD32_OFFSET(pSl) =
(q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
pSl += 2;
}
#else // #ifndef ARM_MATH_CM0_FAMILY
ia = 0;
for (i = 0; i < n2; i++)
{
cosVal = pCoef[ia * 2];
sinVal = pCoef[(ia * 2) + 1];
ia++;
l = i + n2;
xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
pSrc[2 * i + 1] =
((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) -
((int16_t) (((q31_t) yt * sinVal) >> 16)));
pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) +
((int16_t) (((q31_t) xt * sinVal) >> 16)));
}
#endif // #ifndef ARM_MATH_CM0_FAMILY
// first col
arm_radix4_butterfly_inverse_q15( pSrc, n2, (q15_t*)pCoef, 2u);
// second col
arm_radix4_butterfly_inverse_q15( pSrc + fftLen, n2, (q15_t*)pCoef, 2u);
for (i = 0; i < fftLen >> 1; i++)
{
p0 = pSrc[4*i+0];
p1 = pSrc[4*i+1];
p2 = pSrc[4*i+2];
p3 = pSrc[4*i+3];
p0 <<= 1;
p1 <<= 1;
p2 <<= 1;
p3 <<= 1;
pSrc[4*i+0] = p0;
pSrc[4*i+1] = p1;
pSrc[4*i+2] = p2;
pSrc[4*i+3] = p3;
}
}

264
Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_q31.c Normal file
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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_cfft_q31.c
*
* Description: Combined Radix Decimation in Frequency CFFT fixed point processing function
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
extern void arm_radix4_butterfly_q31(
q31_t * pSrc,
uint32_t fftLen,
q31_t * pCoef,
uint32_t twidCoefModifier);
extern void arm_radix4_butterfly_inverse_q31(
q31_t * pSrc,
uint32_t fftLen,
q31_t * pCoef,
uint32_t twidCoefModifier);
extern void arm_bitreversal_32(
uint32_t * pSrc,
const uint16_t bitRevLen,
const uint16_t * pBitRevTable);
void arm_cfft_radix4by2_q31(
q31_t * pSrc,
uint32_t fftLen,
const q31_t * pCoef);
void arm_cfft_radix4by2_inverse_q31(
q31_t * pSrc,
uint32_t fftLen,
const q31_t * pCoef);
/**
* @ingroup groupTransforms
*/
/**
* @addtogroup ComplexFFT
* @{
*/
/**
* @details
* @brief Processing function for the fixed-point complex FFT in Q31 format.
* @param[in] *S points to an instance of the fixed-point CFFT structure.
* @param[in, out] *p1 points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place.
* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.
* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.
* @return none.
*/
void arm_cfft_q31(
const arm_cfft_instance_q31 * S,
q31_t * p1,
uint8_t ifftFlag,
uint8_t bitReverseFlag)
{
uint32_t L = S->fftLen;
if(ifftFlag == 1u)
{
switch (L)
{
case 16:
case 64:
case 256:
case 1024:
case 4096:
arm_radix4_butterfly_inverse_q31 ( p1, L, (q31_t*)S->pTwiddle, 1 );
break;
case 32:
case 128:
case 512:
case 2048:
arm_cfft_radix4by2_inverse_q31 ( p1, L, S->pTwiddle );
break;
}
}
else
{
switch (L)
{
case 16:
case 64:
case 256:
case 1024:
case 4096:
arm_radix4_butterfly_q31 ( p1, L, (q31_t*)S->pTwiddle, 1 );
break;
case 32:
case 128:
case 512:
case 2048:
arm_cfft_radix4by2_q31 ( p1, L, S->pTwiddle );
break;
}
}
if( bitReverseFlag )
arm_bitreversal_32((uint32_t*)p1,S->bitRevLength,S->pBitRevTable);
}
/**
* @} end of ComplexFFT group
*/
void arm_cfft_radix4by2_q31(
q31_t * pSrc,
uint32_t fftLen,
const q31_t * pCoef)
{
uint32_t i, l;
uint32_t n2, ia;
q31_t xt, yt, cosVal, sinVal;
q31_t p0, p1;
n2 = fftLen >> 1;
ia = 0;
for (i = 0; i < n2; i++)
{
cosVal = pCoef[2*ia];
sinVal = pCoef[2*ia + 1];
ia++;
l = i + n2;
xt = (pSrc[2 * i] >> 2) - (pSrc[2 * l] >> 2);
pSrc[2 * i] = (pSrc[2 * i] >> 2) + (pSrc[2 * l] >> 2);
yt = (pSrc[2 * i + 1] >> 2) - (pSrc[2 * l + 1] >> 2);
pSrc[2 * i + 1] = (pSrc[2 * l + 1] >> 2) + (pSrc[2 * i + 1] >> 2);
mult_32x32_keep32_R(p0, xt, cosVal);
mult_32x32_keep32_R(p1, yt, cosVal);
multAcc_32x32_keep32_R(p0, yt, sinVal);
multSub_32x32_keep32_R(p1, xt, sinVal);
pSrc[2u * l] = p0 << 1;
pSrc[2u * l + 1u] = p1 << 1;
}
// first col
arm_radix4_butterfly_q31( pSrc, n2, (q31_t*)pCoef, 2u);
// second col
arm_radix4_butterfly_q31( pSrc + fftLen, n2, (q31_t*)pCoef, 2u);
for (i = 0; i < fftLen >> 1; i++)
{
p0 = pSrc[4*i+0];
p1 = pSrc[4*i+1];
xt = pSrc[4*i+2];
yt = pSrc[4*i+3];
p0 <<= 1;
p1 <<= 1;
xt <<= 1;
yt <<= 1;
pSrc[4*i+0] = p0;
pSrc[4*i+1] = p1;
pSrc[4*i+2] = xt;
pSrc[4*i+3] = yt;
}
}
void arm_cfft_radix4by2_inverse_q31(
q31_t * pSrc,
uint32_t fftLen,
const q31_t * pCoef)
{
uint32_t i, l;
uint32_t n2, ia;
q31_t xt, yt, cosVal, sinVal;
q31_t p0, p1;
n2 = fftLen >> 1;
ia = 0;
for (i = 0; i < n2; i++)
{
cosVal = pCoef[2*ia];
sinVal = pCoef[2*ia + 1];
ia++;
l = i + n2;
xt = (pSrc[2 * i] >> 2) - (pSrc[2 * l] >> 2);
pSrc[2 * i] = (pSrc[2 * i] >> 2) + (pSrc[2 * l] >> 2);
yt = (pSrc[2 * i + 1] >> 2) - (pSrc[2 * l + 1] >> 2);
pSrc[2 * i + 1] = (pSrc[2 * l + 1] >> 2) + (pSrc[2 * i + 1] >> 2);
mult_32x32_keep32_R(p0, xt, cosVal);
mult_32x32_keep32_R(p1, yt, cosVal);
multSub_32x32_keep32_R(p0, yt, sinVal);
multAcc_32x32_keep32_R(p1, xt, sinVal);
pSrc[2u * l] = p0 << 1;
pSrc[2u * l + 1u] = p1 << 1;
}
// first col
arm_radix4_butterfly_inverse_q31( pSrc, n2, (q31_t*)pCoef, 2u);
// second col
arm_radix4_butterfly_inverse_q31( pSrc + fftLen, n2, (q31_t*)pCoef, 2u);
for (i = 0; i < fftLen >> 1; i++)
{
p0 = pSrc[4*i+0];
p1 = pSrc[4*i+1];
xt = pSrc[4*i+2];
yt = pSrc[4*i+3];
p0 <<= 1;
p1 <<= 1;
xt <<= 1;
yt <<= 1;
pSrc[4*i+0] = p0;
pSrc[4*i+1] = p1;
pSrc[4*i+2] = xt;
pSrc[4*i+3] = yt;
}
}

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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_cfft_radix2_f32.c
*
* Description: Radix-2 Decimation in Frequency CFFT & CIFFT Floating point processing function
*
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
void arm_radix2_butterfly_f32(
float32_t * pSrc,
uint32_t fftLen,
float32_t * pCoef,
uint16_t twidCoefModifier);
void arm_radix2_butterfly_inverse_f32(
float32_t * pSrc,
uint32_t fftLen,
float32_t * pCoef,
uint16_t twidCoefModifier,
float32_t onebyfftLen);
extern void arm_bitreversal_f32(
float32_t * pSrc,
uint16_t fftSize,
uint16_t bitRevFactor,
uint16_t * pBitRevTab);
/**
* @ingroup groupTransforms
*/
/**
* @addtogroup ComplexFFT
* @{
*/
/**
* @details
* @brief Radix-2 CFFT/CIFFT.
* @deprecated Do not use this function. It has been superseded by \ref arm_cfft_f32 and will be removed
* in the future.
* @param[in] *S points to an instance of the floating-point Radix-2 CFFT/CIFFT structure.
* @param[in, out] *pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place.
* @return none.
*/
void arm_cfft_radix2_f32(
const arm_cfft_radix2_instance_f32 * S,
float32_t * pSrc)
{
if(S->ifftFlag == 1u)
{
/* Complex IFFT radix-2 */
arm_radix2_butterfly_inverse_f32(pSrc, S->fftLen, S->pTwiddle,
S->twidCoefModifier, S->onebyfftLen);
}
else
{
/* Complex FFT radix-2 */
arm_radix2_butterfly_f32(pSrc, S->fftLen, S->pTwiddle,
S->twidCoefModifier);
}
if(S->bitReverseFlag == 1u)
{
/* Bit Reversal */
arm_bitreversal_f32(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
}
}
/**
* @} end of ComplexFFT group
*/
/* ----------------------------------------------------------------------
** Internal helper function used by the FFTs
** ------------------------------------------------------------------- */
/*
* @brief Core function for the floating-point CFFT butterfly process.
* @param[in, out] *pSrc points to the in-place buffer of floating-point data type.
* @param[in] fftLen length of the FFT.
* @param[in] *pCoef points to the twiddle coefficient buffer.
* @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
* @return none.
*/
void arm_radix2_butterfly_f32(
float32_t * pSrc,
uint32_t fftLen,
float32_t * pCoef,
uint16_t twidCoefModifier)
{
uint32_t i, j, k, l;
uint32_t n1, n2, ia;
float32_t xt, yt, cosVal, sinVal;
float32_t p0, p1, p2, p3;
float32_t a0, a1;
#ifndef ARM_MATH_CM0_FAMILY
/* Initializations for the first stage */
n2 = fftLen >> 1;
ia = 0;
i = 0;
// loop for groups
for (k = n2; k > 0; k--)
{
cosVal = pCoef[ia * 2];
sinVal = pCoef[(ia * 2) + 1];
/* Twiddle coefficients index modifier */
ia += twidCoefModifier;
/* index calculation for the input as, */
/* pSrc[i + 0], pSrc[i + fftLen/1] */
l = i + n2;
/* Butterfly implementation */
a0 = pSrc[2 * i] + pSrc[2 * l];
xt = pSrc[2 * i] - pSrc[2 * l];
yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
p0 = xt * cosVal;
p1 = yt * sinVal;
p2 = yt * cosVal;
p3 = xt * sinVal;
pSrc[2 * i] = a0;
pSrc[2 * i + 1] = a1;
pSrc[2 * l] = p0 + p1;
pSrc[2 * l + 1] = p2 - p3;
i++;
} // groups loop end
twidCoefModifier <<= 1u;
// loop for stage
for (k = n2; k > 2; k = k >> 1)
{
n1 = n2;
n2 = n2 >> 1;
ia = 0;
// loop for groups
j = 0;
do
{
cosVal = pCoef[ia * 2];
sinVal = pCoef[(ia * 2) + 1];
ia += twidCoefModifier;
// loop for butterfly
i = j;
do
{
l = i + n2;
a0 = pSrc[2 * i] + pSrc[2 * l];
xt = pSrc[2 * i] - pSrc[2 * l];
yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
p0 = xt * cosVal;
p1 = yt * sinVal;
p2 = yt * cosVal;
p3 = xt * sinVal;
pSrc[2 * i] = a0;
pSrc[2 * i + 1] = a1;
pSrc[2 * l] = p0 + p1;
pSrc[2 * l + 1] = p2 - p3;
i += n1;
} while( i < fftLen ); // butterfly loop end
j++;
} while( j < n2); // groups loop end
twidCoefModifier <<= 1u;
} // stages loop end
// loop for butterfly
for (i = 0; i < fftLen; i += 2)
{
a0 = pSrc[2 * i] + pSrc[2 * i + 2];
xt = pSrc[2 * i] - pSrc[2 * i + 2];
yt = pSrc[2 * i + 1] - pSrc[2 * i + 3];
a1 = pSrc[2 * i + 3] + pSrc[2 * i + 1];
pSrc[2 * i] = a0;
pSrc[2 * i + 1] = a1;
pSrc[2 * i + 2] = xt;
pSrc[2 * i + 3] = yt;
} // groups loop end
#else
n2 = fftLen;
// loop for stage
for (k = fftLen; k > 1; k = k >> 1)
{
n1 = n2;
n2 = n2 >> 1;
ia = 0;
// loop for groups
j = 0;
do
{
cosVal = pCoef[ia * 2];
sinVal = pCoef[(ia * 2) + 1];
ia += twidCoefModifier;
// loop for butterfly
i = j;
do
{
l = i + n2;
a0 = pSrc[2 * i] + pSrc[2 * l];
xt = pSrc[2 * i] - pSrc[2 * l];
yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
p0 = xt * cosVal;
p1 = yt * sinVal;
p2 = yt * cosVal;
p3 = xt * sinVal;
pSrc[2 * i] = a0;
pSrc[2 * i + 1] = a1;
pSrc[2 * l] = p0 + p1;
pSrc[2 * l + 1] = p2 - p3;
i += n1;
} while(i < fftLen);
j++;
} while(j < n2);
twidCoefModifier <<= 1u;
}
#endif // #ifndef ARM_MATH_CM0_FAMILY
}
void arm_radix2_butterfly_inverse_f32(
float32_t * pSrc,
uint32_t fftLen,
float32_t * pCoef,
uint16_t twidCoefModifier,
float32_t onebyfftLen)
{
uint32_t i, j, k, l;
uint32_t n1, n2, ia;
float32_t xt, yt, cosVal, sinVal;
float32_t p0, p1, p2, p3;
float32_t a0, a1;
#ifndef ARM_MATH_CM0_FAMILY
n2 = fftLen >> 1;
ia = 0;
// loop for groups
for (i = 0; i < n2; i++)
{
cosVal = pCoef[ia * 2];
sinVal = pCoef[(ia * 2) + 1];
ia += twidCoefModifier;
l = i + n2;
a0 = pSrc[2 * i] + pSrc[2 * l];
xt = pSrc[2 * i] - pSrc[2 * l];
yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
p0 = xt * cosVal;
p1 = yt * sinVal;
p2 = yt * cosVal;
p3 = xt * sinVal;
pSrc[2 * i] = a0;
pSrc[2 * i + 1] = a1;
pSrc[2 * l] = p0 - p1;
pSrc[2 * l + 1] = p2 + p3;
} // groups loop end
twidCoefModifier <<= 1u;
// loop for stage
for (k = fftLen / 2; k > 2; k = k >> 1)
{
n1 = n2;
n2 = n2 >> 1;
ia = 0;
// loop for groups
j = 0;
do
{
cosVal = pCoef[ia * 2];
sinVal = pCoef[(ia * 2) + 1];
ia += twidCoefModifier;
// loop for butterfly
i = j;
do
{
l = i + n2;
a0 = pSrc[2 * i] + pSrc[2 * l];
xt = pSrc[2 * i] - pSrc[2 * l];
yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
p0 = xt * cosVal;
p1 = yt * sinVal;
p2 = yt * cosVal;
p3 = xt * sinVal;
pSrc[2 * i] = a0;
pSrc[2 * i + 1] = a1;
pSrc[2 * l] = p0 - p1;
pSrc[2 * l + 1] = p2 + p3;
i += n1;
} while( i < fftLen ); // butterfly loop end
j++;
} while(j < n2); // groups loop end
twidCoefModifier <<= 1u;
} // stages loop end
// loop for butterfly
for (i = 0; i < fftLen; i += 2)
{
a0 = pSrc[2 * i] + pSrc[2 * i + 2];
xt = pSrc[2 * i] - pSrc[2 * i + 2];
a1 = pSrc[2 * i + 3] + pSrc[2 * i + 1];
yt = pSrc[2 * i + 1] - pSrc[2 * i + 3];
p0 = a0 * onebyfftLen;
p2 = xt * onebyfftLen;
p1 = a1 * onebyfftLen;
p3 = yt * onebyfftLen;
pSrc[2 * i] = p0;
pSrc[2 * i + 1] = p1;
pSrc[2 * i + 2] = p2;
pSrc[2 * i + 3] = p3;
} // butterfly loop end
#else
n2 = fftLen;
// loop for stage
for (k = fftLen; k > 2; k = k >> 1)
{
n1 = n2;
n2 = n2 >> 1;
ia = 0;
// loop for groups
j = 0;
do
{
cosVal = pCoef[ia * 2];
sinVal = pCoef[(ia * 2) + 1];
ia = ia + twidCoefModifier;
// loop for butterfly
i = j;
do
{
l = i + n2;
a0 = pSrc[2 * i] + pSrc[2 * l];
xt = pSrc[2 * i] - pSrc[2 * l];
yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
p0 = xt * cosVal;
p1 = yt * sinVal;
p2 = yt * cosVal;
p3 = xt * sinVal;
pSrc[2 * i] = a0;
pSrc[2 * i + 1] = a1;
pSrc[2 * l] = p0 - p1;
pSrc[2 * l + 1] = p2 + p3;
i += n1;
} while( i < fftLen ); // butterfly loop end
j++;
} while( j < n2 ); // groups loop end
twidCoefModifier = twidCoefModifier << 1u;
} // stages loop end
n1 = n2;
n2 = n2 >> 1;
// loop for butterfly
for (i = 0; i < fftLen; i += n1)
{
l = i + n2;
a0 = pSrc[2 * i] + pSrc[2 * l];
xt = pSrc[2 * i] - pSrc[2 * l];
a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
p0 = a0 * onebyfftLen;
p2 = xt * onebyfftLen;
p1 = a1 * onebyfftLen;
p3 = yt * onebyfftLen;
pSrc[2 * i] = p0;
pSrc[2u * l] = p2;
pSrc[2 * i + 1] = p1;
pSrc[2u * l + 1u] = p3;
} // butterfly loop end
#endif // #ifndef ARM_MATH_CM0_FAMILY
}

205
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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_cfft_radix4_init_f32.c
*
* Description: Radix-4 Decimation in Frequency Floating-point CFFT & CIFFT Initialization function
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
#include "arm_common_tables.h"
/**
* @ingroup groupTransforms
*/
/**
* @addtogroup ComplexFFT
* @{
*/
/**
* @brief Initialization function for the floating-point CFFT/CIFFT.
* @deprecated Do not use this function. It has been superseded by \ref arm_cfft_f32 and will be removed
* in the future.
* @param[in,out] *S points to an instance of the floating-point CFFT/CIFFT structure.
* @param[in] fftLen length of the FFT.
* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.
* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.
* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value.
*
* \par Description:
* \par
* The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed.
* Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated
* \par
* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.
* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
* \par
* The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.
* \par
* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.
*/
arm_status arm_cfft_radix2_init_f32(
arm_cfft_radix2_instance_f32 * S,
uint16_t fftLen,
uint8_t ifftFlag,
uint8_t bitReverseFlag)
{
/* Initialise the default arm status */
arm_status status = ARM_MATH_SUCCESS;
/* Initialise the FFT length */
S->fftLen = fftLen;
/* Initialise the Twiddle coefficient pointer */
S->pTwiddle = (float32_t *) twiddleCoef;
/* Initialise the Flag for selection of CFFT or CIFFT */
S->ifftFlag = ifftFlag;
/* Initialise the Flag for calculation Bit reversal or not */
S->bitReverseFlag = bitReverseFlag;
/* Initializations of structure parameters depending on the FFT length */
switch (S->fftLen)
{
case 4096u:
/* Initializations of structure parameters for 4096 point FFT */
/* Initialise the twiddle coef modifier value */
S->twidCoefModifier = 1u;
/* Initialise the bit reversal table modifier */
S->bitRevFactor = 1u;
/* Initialise the bit reversal table pointer */
S->pBitRevTable = (uint16_t *) armBitRevTable;
/* Initialise the 1/fftLen Value */
S->onebyfftLen = 0.000244140625;
break;
case 2048u:
/* Initializations of structure parameters for 2048 point FFT */
/* Initialise the twiddle coef modifier value */
S->twidCoefModifier = 2u;
/* Initialise the bit reversal table modifier */
S->bitRevFactor = 2u;
/* Initialise the bit reversal table pointer */
S->pBitRevTable = (uint16_t *) & armBitRevTable[1];
/* Initialise the 1/fftLen Value */
S->onebyfftLen = 0.00048828125;
break;
case 1024u:
/* Initializations of structure parameters for 1024 point FFT */
/* Initialise the twiddle coef modifier value */
S->twidCoefModifier = 4u;
/* Initialise the bit reversal table modifier */
S->bitRevFactor = 4u;
/* Initialise the bit reversal table pointer */
S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
/* Initialise the 1/fftLen Value */
S->onebyfftLen = 0.0009765625f;
break;
case 512u:
/* Initializations of structure parameters for 512 point FFT */
/* Initialise the twiddle coef modifier value */
S->twidCoefModifier = 8u;
/* Initialise the bit reversal table modifier */
S->bitRevFactor = 8u;
/* Initialise the bit reversal table pointer */
S->pBitRevTable = (uint16_t *) & armBitRevTable[7];
/* Initialise the 1/fftLen Value */
S->onebyfftLen = 0.001953125;
break;
case 256u:
/* Initializations of structure parameters for 256 point FFT */
S->twidCoefModifier = 16u;
S->bitRevFactor = 16u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
S->onebyfftLen = 0.00390625f;
break;
case 128u:
/* Initializations of structure parameters for 128 point FFT */
S->twidCoefModifier = 32u;
S->bitRevFactor = 32u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[31];
S->onebyfftLen = 0.0078125;
break;
case 64u:
/* Initializations of structure parameters for 64 point FFT */
S->twidCoefModifier = 64u;
S->bitRevFactor = 64u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
S->onebyfftLen = 0.015625f;
break;
case 32u:
/* Initializations of structure parameters for 64 point FFT */
S->twidCoefModifier = 128u;
S->bitRevFactor = 128u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[127];
S->onebyfftLen = 0.03125;
break;
case 16u:
/* Initializations of structure parameters for 16 point FFT */
S->twidCoefModifier = 256u;
S->bitRevFactor = 256u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
S->onebyfftLen = 0.0625f;
break;
default:
/* Reporting argument error if fftSize is not valid value */
status = ARM_MATH_ARGUMENT_ERROR;
break;
}
return (status);
}
/**
* @} end of ComplexFFT group
*/

189
Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_q15.c Normal file
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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_cfft_radix2_init_q15.c
*
* Description: Radix-2 Decimation in Frequency Q15 FFT & IFFT initialization function
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
#include "arm_common_tables.h"
/**
* @ingroup groupTransforms
*/
/**
* @addtogroup ComplexFFT
* @{
*/
/**
* @brief Initialization function for the Q15 CFFT/CIFFT.
* @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q15 and will be removed
* @param[in,out] *S points to an instance of the Q15 CFFT/CIFFT structure.
* @param[in] fftLen length of the FFT.
* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.
* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.
* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value.
*
* \par Description:
* \par
* The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed.
* Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated
* \par
* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.
* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
* \par
* The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.
* \par
* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.
*/
arm_status arm_cfft_radix2_init_q15(
arm_cfft_radix2_instance_q15 * S,
uint16_t fftLen,
uint8_t ifftFlag,
uint8_t bitReverseFlag)
{
/* Initialise the default arm status */
arm_status status = ARM_MATH_SUCCESS;
/* Initialise the FFT length */
S->fftLen = fftLen;
/* Initialise the Twiddle coefficient pointer */
S->pTwiddle = (q15_t *) twiddleCoef_4096_q15;
/* Initialise the Flag for selection of CFFT or CIFFT */
S->ifftFlag = ifftFlag;
/* Initialise the Flag for calculation Bit reversal or not */
S->bitReverseFlag = bitReverseFlag;
/* Initializations of structure parameters depending on the FFT length */
switch (S->fftLen)
{
case 4096u:
/* Initializations of structure parameters for 4096 point FFT */
/* Initialise the twiddle coef modifier value */
S->twidCoefModifier = 1u;
/* Initialise the bit reversal table modifier */
S->bitRevFactor = 1u;
/* Initialise the bit reversal table pointer */
S->pBitRevTable = (uint16_t *) armBitRevTable;
break;
case 2048u:
/* Initializations of structure parameters for 2048 point FFT */
/* Initialise the twiddle coef modifier value */
S->twidCoefModifier = 2u;
/* Initialise the bit reversal table modifier */
S->bitRevFactor = 2u;
/* Initialise the bit reversal table pointer */
S->pBitRevTable = (uint16_t *) & armBitRevTable[1];
break;
case 1024u:
/* Initializations of structure parameters for 1024 point FFT */
S->twidCoefModifier = 4u;
S->bitRevFactor = 4u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
break;
case 512u:
/* Initializations of structure parameters for 512 point FFT */
S->twidCoefModifier = 8u;
S->bitRevFactor = 8u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[7];
break;
case 256u:
/* Initializations of structure parameters for 256 point FFT */
S->twidCoefModifier = 16u;
S->bitRevFactor = 16u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
break;
case 128u:
/* Initializations of structure parameters for 128 point FFT */
S->twidCoefModifier = 32u;
S->bitRevFactor = 32u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[31];
break;
case 64u:
/* Initializations of structure parameters for 64 point FFT */
S->twidCoefModifier = 64u;
S->bitRevFactor = 64u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
break;
case 32u:
/* Initializations of structure parameters for 32 point FFT */
S->twidCoefModifier = 128u;
S->bitRevFactor = 128u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[127];
break;
case 16u:
/* Initializations of structure parameters for 16 point FFT */
S->twidCoefModifier = 256u;
S->bitRevFactor = 256u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
break;
default:
/* Reporting argument error if fftSize is not valid value */
status = ARM_MATH_ARGUMENT_ERROR;
break;
}
return (status);
}
/**
* @} end of ComplexFFT group
*/

187
Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_init_q31.c Normal file
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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_cfft_radix2_init_q31.c
*
* Description: Radix-2 Decimation in Frequency Fixed-point CFFT & CIFFT Initialization function
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
#include "arm_common_tables.h"
/**
* @ingroup groupTransforms
*/
/**
* @addtogroup ComplexFFT
* @{
*/
/**
*
* @brief Initialization function for the Q31 CFFT/CIFFT.
* @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q31 and will be removed
* @param[in,out] *S points to an instance of the Q31 CFFT/CIFFT structure.
* @param[in] fftLen length of the FFT.
* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.
* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.
* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value.
*
* \par Description:
* \par
* The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed.
* Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated
* \par
* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.
* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
* \par
* The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.
* \par
* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.
*/
arm_status arm_cfft_radix2_init_q31(
arm_cfft_radix2_instance_q31 * S,
uint16_t fftLen,
uint8_t ifftFlag,
uint8_t bitReverseFlag)
{
/* Initialise the default arm status */
arm_status status = ARM_MATH_SUCCESS;
/* Initialise the FFT length */
S->fftLen = fftLen;
/* Initialise the Twiddle coefficient pointer */
S->pTwiddle = (q31_t *) twiddleCoef_4096_q31;
/* Initialise the Flag for selection of CFFT or CIFFT */
S->ifftFlag = ifftFlag;
/* Initialise the Flag for calculation Bit reversal or not */
S->bitReverseFlag = bitReverseFlag;
/* Initializations of Instance structure depending on the FFT length */
switch (S->fftLen)
{
/* Initializations of structure parameters for 4096 point FFT */
case 4096u:
/* Initialise the twiddle coef modifier value */
S->twidCoefModifier = 1u;
/* Initialise the bit reversal table modifier */
S->bitRevFactor = 1u;
/* Initialise the bit reversal table pointer */
S->pBitRevTable = (uint16_t *) armBitRevTable;
break;
/* Initializations of structure parameters for 2048 point FFT */
case 2048u:
/* Initialise the twiddle coef modifier value */
S->twidCoefModifier = 2u;
/* Initialise the bit reversal table modifier */
S->bitRevFactor = 2u;
/* Initialise the bit reversal table pointer */
S->pBitRevTable = (uint16_t *) & armBitRevTable[1];
break;
/* Initializations of structure parameters for 1024 point FFT */
case 1024u:
/* Initialise the twiddle coef modifier value */
S->twidCoefModifier = 4u;
/* Initialise the bit reversal table modifier */
S->bitRevFactor = 4u;
/* Initialise the bit reversal table pointer */
S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
break;
/* Initializations of structure parameters for 512 point FFT */
case 512u:
/* Initialise the twiddle coef modifier value */
S->twidCoefModifier = 8u;
/* Initialise the bit reversal table modifier */
S->bitRevFactor = 8u;
/* Initialise the bit reversal table pointer */
S->pBitRevTable = (uint16_t *) & armBitRevTable[7];
break;
case 256u:
/* Initializations of structure parameters for 256 point FFT */
S->twidCoefModifier = 16u;
S->bitRevFactor = 16u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
break;
case 128u:
/* Initializations of structure parameters for 128 point FFT */
S->twidCoefModifier = 32u;
S->bitRevFactor = 32u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[31];
break;
case 64u:
/* Initializations of structure parameters for 64 point FFT */
S->twidCoefModifier = 64u;
S->bitRevFactor = 64u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
break;
case 32u:
/* Initializations of structure parameters for 32 point FFT */
S->twidCoefModifier = 128u;
S->bitRevFactor = 128u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[127];
break;
case 16u:
/* Initializations of structure parameters for 16 point FFT */
S->twidCoefModifier = 256u;
S->bitRevFactor = 256u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
break;
default:
/* Reporting argument error if fftSize is not valid value */
status = ARM_MATH_ARGUMENT_ERROR;
break;
}
return (status);
}
/**
* @} end of ComplexFFT group
*/

742
Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_q15.c Normal file
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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_cfft_radix2_q15.c
*
* Description: Radix-2 Decimation in Frequency CFFT & CIFFT Fixed point processing function
*
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
void arm_radix2_butterfly_q15(
q15_t * pSrc,
uint32_t fftLen,
q15_t * pCoef,
uint16_t twidCoefModifier);
void arm_radix2_butterfly_inverse_q15(
q15_t * pSrc,
uint32_t fftLen,
q15_t * pCoef,
uint16_t twidCoefModifier);
void arm_bitreversal_q15(
q15_t * pSrc,
uint32_t fftLen,
uint16_t bitRevFactor,
uint16_t * pBitRevTab);
/**
* @ingroup groupTransforms
*/
/**
* @addtogroup ComplexFFT
* @{
*/
/**
* @details
* @brief Processing function for the fixed-point CFFT/CIFFT.
* @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q15 and will be removed
* @param[in] *S points to an instance of the fixed-point CFFT/CIFFT structure.
* @param[in, out] *pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place.
* @return none.
*/
void arm_cfft_radix2_q15(
const arm_cfft_radix2_instance_q15 * S,
q15_t * pSrc)
{
if(S->ifftFlag == 1u)
{
arm_radix2_butterfly_inverse_q15(pSrc, S->fftLen,
S->pTwiddle, S->twidCoefModifier);
}
else
{
arm_radix2_butterfly_q15(pSrc, S->fftLen,
S->pTwiddle, S->twidCoefModifier);
}
arm_bitreversal_q15(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
}
/**
* @} end of ComplexFFT group
*/
void arm_radix2_butterfly_q15(
q15_t * pSrc,
uint32_t fftLen,
q15_t * pCoef,
uint16_t twidCoefModifier)
{
#ifndef ARM_MATH_CM0_FAMILY
unsigned i, j, k, l;
unsigned n1, n2, ia;
q15_t in;
q31_t T, S, R;
q31_t coeff, out1, out2;
//N = fftLen;
n2 = fftLen;
n1 = n2;
n2 = n2 >> 1;
ia = 0;
// loop for groups
for (i = 0; i < n2; i++)
{
coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
ia = ia + twidCoefModifier;
l = i + n2;
T = _SIMD32_OFFSET(pSrc + (2 * i));
in = ((int16_t) (T & 0xFFFF)) >> 1;
T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF);
S = _SIMD32_OFFSET(pSrc + (2 * l));
in = ((int16_t) (S & 0xFFFF)) >> 1;
S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF);
R = __QSUB16(T, S);
_SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
#ifndef ARM_MATH_BIG_ENDIAN
out1 = __SMUAD(coeff, R) >> 16;
out2 = __SMUSDX(coeff, R);
#else
out1 = __SMUSDX(R, coeff) >> 16u;
out2 = __SMUAD(coeff, R);
#endif // #ifndef ARM_MATH_BIG_ENDIAN
_SIMD32_OFFSET(pSrc + (2u * l)) =
(q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
ia = ia + twidCoefModifier;
// loop for butterfly
i++;
l++;
T = _SIMD32_OFFSET(pSrc + (2 * i));
in = ((int16_t) (T & 0xFFFF)) >> 1;
T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF);
S = _SIMD32_OFFSET(pSrc + (2 * l));
in = ((int16_t) (S & 0xFFFF)) >> 1;
S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF);
R = __QSUB16(T, S);
_SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
#ifndef ARM_MATH_BIG_ENDIAN
out1 = __SMUAD(coeff, R) >> 16;
out2 = __SMUSDX(coeff, R);
#else
out1 = __SMUSDX(R, coeff) >> 16u;
out2 = __SMUAD(coeff, R);
#endif // #ifndef ARM_MATH_BIG_ENDIAN
_SIMD32_OFFSET(pSrc + (2u * l)) =
(q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
} // groups loop end
twidCoefModifier = twidCoefModifier << 1u;
// loop for stage
for (k = fftLen / 2; k > 2; k = k >> 1)
{
n1 = n2;
n2 = n2 >> 1;
ia = 0;
// loop for groups
for (j = 0; j < n2; j++)
{
coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
ia = ia + twidCoefModifier;
// loop for butterfly
for (i = j; i < fftLen; i += n1)
{
l = i + n2;
T = _SIMD32_OFFSET(pSrc + (2 * i));
S = _SIMD32_OFFSET(pSrc + (2 * l));
R = __QSUB16(T, S);
_SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
#ifndef ARM_MATH_BIG_ENDIAN
out1 = __SMUAD(coeff, R) >> 16;
out2 = __SMUSDX(coeff, R);
#else
out1 = __SMUSDX(R, coeff) >> 16u;
out2 = __SMUAD(coeff, R);
#endif // #ifndef ARM_MATH_BIG_ENDIAN
_SIMD32_OFFSET(pSrc + (2u * l)) =
(q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
i += n1;
l = i + n2;
T = _SIMD32_OFFSET(pSrc + (2 * i));
S = _SIMD32_OFFSET(pSrc + (2 * l));
R = __QSUB16(T, S);
_SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
#ifndef ARM_MATH_BIG_ENDIAN
out1 = __SMUAD(coeff, R) >> 16;
out2 = __SMUSDX(coeff, R);
#else
out1 = __SMUSDX(R, coeff) >> 16u;
out2 = __SMUAD(coeff, R);
#endif // #ifndef ARM_MATH_BIG_ENDIAN
_SIMD32_OFFSET(pSrc + (2u * l)) =
(q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
} // butterfly loop end
} // groups loop end
twidCoefModifier = twidCoefModifier << 1u;
} // stages loop end
n1 = n2;
n2 = n2 >> 1;
ia = 0;
coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
ia = ia + twidCoefModifier;
// loop for butterfly
for (i = 0; i < fftLen; i += n1)
{
l = i + n2;
T = _SIMD32_OFFSET(pSrc + (2 * i));
S = _SIMD32_OFFSET(pSrc + (2 * l));
R = __QSUB16(T, S);
_SIMD32_OFFSET(pSrc + (2 * i)) = __QADD16(T, S);
_SIMD32_OFFSET(pSrc + (2u * l)) = R;
i += n1;
l = i + n2;
T = _SIMD32_OFFSET(pSrc + (2 * i));
S = _SIMD32_OFFSET(pSrc + (2 * l));
R = __QSUB16(T, S);
_SIMD32_OFFSET(pSrc + (2 * i)) = __QADD16(T, S);
_SIMD32_OFFSET(pSrc + (2u * l)) = R;
} // groups loop end
#else
unsigned i, j, k, l;
unsigned n1, n2, ia;
q15_t xt, yt, cosVal, sinVal;
//N = fftLen;
n2 = fftLen;
n1 = n2;
n2 = n2 >> 1;
ia = 0;
// loop for groups
for (j = 0; j < n2; j++)
{
cosVal = pCoef[ia * 2];
sinVal = pCoef[(ia * 2) + 1];
ia = ia + twidCoefModifier;
// loop for butterfly
for (i = j; i < fftLen; i += n1)
{
l = i + n2;
xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
pSrc[2 * i + 1] =
((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) +
((int16_t) (((q31_t) yt * sinVal) >> 16)));
pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) -
((int16_t) (((q31_t) xt * sinVal) >> 16)));
} // butterfly loop end
} // groups loop end
twidCoefModifier = twidCoefModifier << 1u;
// loop for stage
for (k = fftLen / 2; k > 2; k = k >> 1)
{
n1 = n2;
n2 = n2 >> 1;
ia = 0;
// loop for groups
for (j = 0; j < n2; j++)
{
cosVal = pCoef[ia * 2];
sinVal = pCoef[(ia * 2) + 1];
ia = ia + twidCoefModifier;
// loop for butterfly
for (i = j; i < fftLen; i += n1)
{
l = i + n2;
xt = pSrc[2 * i] - pSrc[2 * l];
pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1u;
yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1u;
pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) +
((int16_t) (((q31_t) yt * sinVal) >> 16)));
pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) -
((int16_t) (((q31_t) xt * sinVal) >> 16)));
} // butterfly loop end
} // groups loop end
twidCoefModifier = twidCoefModifier << 1u;
} // stages loop end
n1 = n2;
n2 = n2 >> 1;
ia = 0;
// loop for groups
for (j = 0; j < n2; j++)
{
cosVal = pCoef[ia * 2];
sinVal = pCoef[(ia * 2) + 1];
ia = ia + twidCoefModifier;
// loop for butterfly
for (i = j; i < fftLen; i += n1)
{
l = i + n2;
xt = pSrc[2 * i] - pSrc[2 * l];
pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
pSrc[2u * l] = xt;
pSrc[2u * l + 1u] = yt;
} // butterfly loop end
} // groups loop end
twidCoefModifier = twidCoefModifier << 1u;
#endif // #ifndef ARM_MATH_CM0_FAMILY
}
void arm_radix2_butterfly_inverse_q15(
q15_t * pSrc,
uint32_t fftLen,
q15_t * pCoef,
uint16_t twidCoefModifier)
{
#ifndef ARM_MATH_CM0_FAMILY
unsigned i, j, k, l;
unsigned n1, n2, ia;
q15_t in;
q31_t T, S, R;
q31_t coeff, out1, out2;
//N = fftLen;
n2 = fftLen;
n1 = n2;
n2 = n2 >> 1;
ia = 0;
// loop for groups
for (i = 0; i < n2; i++)
{
coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
ia = ia + twidCoefModifier;
l = i + n2;
T = _SIMD32_OFFSET(pSrc + (2 * i));
in = ((int16_t) (T & 0xFFFF)) >> 1;
T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF);
S = _SIMD32_OFFSET(pSrc + (2 * l));
in = ((int16_t) (S & 0xFFFF)) >> 1;
S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF);
R = __QSUB16(T, S);
_SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
#ifndef ARM_MATH_BIG_ENDIAN
out1 = __SMUSD(coeff, R) >> 16;
out2 = __SMUADX(coeff, R);
#else
out1 = __SMUADX(R, coeff) >> 16u;
out2 = __SMUSD(__QSUB(0, coeff), R);
#endif // #ifndef ARM_MATH_BIG_ENDIAN
_SIMD32_OFFSET(pSrc + (2u * l)) =
(q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
ia = ia + twidCoefModifier;
// loop for butterfly
i++;
l++;
T = _SIMD32_OFFSET(pSrc + (2 * i));
in = ((int16_t) (T & 0xFFFF)) >> 1;
T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF);
S = _SIMD32_OFFSET(pSrc + (2 * l));
in = ((int16_t) (S & 0xFFFF)) >> 1;
S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF);
R = __QSUB16(T, S);
_SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
#ifndef ARM_MATH_BIG_ENDIAN
out1 = __SMUSD(coeff, R) >> 16;
out2 = __SMUADX(coeff, R);
#else
out1 = __SMUADX(R, coeff) >> 16u;
out2 = __SMUSD(__QSUB(0, coeff), R);
#endif // #ifndef ARM_MATH_BIG_ENDIAN
_SIMD32_OFFSET(pSrc + (2u * l)) =
(q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
} // groups loop end
twidCoefModifier = twidCoefModifier << 1u;
// loop for stage
for (k = fftLen / 2; k > 2; k = k >> 1)
{
n1 = n2;
n2 = n2 >> 1;
ia = 0;
// loop for groups
for (j = 0; j < n2; j++)
{
coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
ia = ia + twidCoefModifier;
// loop for butterfly
for (i = j; i < fftLen; i += n1)
{
l = i + n2;
T = _SIMD32_OFFSET(pSrc + (2 * i));
S = _SIMD32_OFFSET(pSrc + (2 * l));
R = __QSUB16(T, S);
_SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
#ifndef ARM_MATH_BIG_ENDIAN
out1 = __SMUSD(coeff, R) >> 16;
out2 = __SMUADX(coeff, R);
#else
out1 = __SMUADX(R, coeff) >> 16u;
out2 = __SMUSD(__QSUB(0, coeff), R);
#endif // #ifndef ARM_MATH_BIG_ENDIAN
_SIMD32_OFFSET(pSrc + (2u * l)) =
(q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
i += n1;
l = i + n2;
T = _SIMD32_OFFSET(pSrc + (2 * i));
S = _SIMD32_OFFSET(pSrc + (2 * l));
R = __QSUB16(T, S);
_SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S);
#ifndef ARM_MATH_BIG_ENDIAN
out1 = __SMUSD(coeff, R) >> 16;
out2 = __SMUADX(coeff, R);
#else
out1 = __SMUADX(R, coeff) >> 16u;
out2 = __SMUSD(__QSUB(0, coeff), R);
#endif // #ifndef ARM_MATH_BIG_ENDIAN
_SIMD32_OFFSET(pSrc + (2u * l)) =
(q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
} // butterfly loop end
} // groups loop end
twidCoefModifier = twidCoefModifier << 1u;
} // stages loop end
n1 = n2;
n2 = n2 >> 1;
ia = 0;
// loop for groups
for (j = 0; j < n2; j++)
{
coeff = _SIMD32_OFFSET(pCoef + (ia * 2u));
ia = ia + twidCoefModifier;
// loop for butterfly
for (i = j; i < fftLen; i += n1)
{
l = i + n2;
T = _SIMD32_OFFSET(pSrc + (2 * i));
S = _SIMD32_OFFSET(pSrc + (2 * l));
R = __QSUB16(T, S);
_SIMD32_OFFSET(pSrc + (2 * i)) = __QADD16(T, S);
_SIMD32_OFFSET(pSrc + (2u * l)) = R;
} // butterfly loop end
} // groups loop end
twidCoefModifier = twidCoefModifier << 1u;
#else
unsigned i, j, k, l;
unsigned n1, n2, ia;
q15_t xt, yt, cosVal, sinVal;
//N = fftLen;
n2 = fftLen;
n1 = n2;
n2 = n2 >> 1;
ia = 0;
// loop for groups
for (j = 0; j < n2; j++)
{
cosVal = pCoef[ia * 2];
sinVal = pCoef[(ia * 2) + 1];
ia = ia + twidCoefModifier;
// loop for butterfly
for (i = j; i < fftLen; i += n1)
{
l = i + n2;
xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
pSrc[2 * i + 1] =
((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) -
((int16_t) (((q31_t) yt * sinVal) >> 16)));
pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) +
((int16_t) (((q31_t) xt * sinVal) >> 16)));
} // butterfly loop end
} // groups loop end
twidCoefModifier = twidCoefModifier << 1u;
// loop for stage
for (k = fftLen / 2; k > 2; k = k >> 1)
{
n1 = n2;
n2 = n2 >> 1;
ia = 0;
// loop for groups
for (j = 0; j < n2; j++)
{
cosVal = pCoef[ia * 2];
sinVal = pCoef[(ia * 2) + 1];
ia = ia + twidCoefModifier;
// loop for butterfly
for (i = j; i < fftLen; i += n1)
{
l = i + n2;
xt = pSrc[2 * i] - pSrc[2 * l];
pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1u;
yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1u;
pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) -
((int16_t) (((q31_t) yt * sinVal) >> 16)));
pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) +
((int16_t) (((q31_t) xt * sinVal) >> 16)));
} // butterfly loop end
} // groups loop end
twidCoefModifier = twidCoefModifier << 1u;
} // stages loop end
n1 = n2;
n2 = n2 >> 1;
ia = 0;
cosVal = pCoef[ia * 2];
sinVal = pCoef[(ia * 2) + 1];
ia = ia + twidCoefModifier;
// loop for butterfly
for (i = 0; i < fftLen; i += n1)
{
l = i + n2;
xt = pSrc[2 * i] - pSrc[2 * l];
pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
pSrc[2u * l] = xt;
pSrc[2u * l + 1u] = yt;
} // groups loop end
#endif // #ifndef ARM_MATH_CM0_FAMILY
}

351
Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix2_q31.c Normal file
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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_cfft_radix2_q31.c
*
* Description: Radix-2 Decimation in Frequency CFFT & CIFFT Fixed point processing function
*
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
void arm_radix2_butterfly_q31(
q31_t * pSrc,
uint32_t fftLen,
q31_t * pCoef,
uint16_t twidCoefModifier);
void arm_radix2_butterfly_inverse_q31(
q31_t * pSrc,
uint32_t fftLen,
q31_t * pCoef,
uint16_t twidCoefModifier);
void arm_bitreversal_q31(
q31_t * pSrc,
uint32_t fftLen,
uint16_t bitRevFactor,
uint16_t * pBitRevTab);
/**
* @ingroup groupTransforms
*/
/**
* @addtogroup ComplexFFT
* @{
*/
/**
* @details
* @brief Processing function for the fixed-point CFFT/CIFFT.
* @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q31 and will be removed
* @param[in] *S points to an instance of the fixed-point CFFT/CIFFT structure.
* @param[in, out] *pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place.
* @return none.
*/
void arm_cfft_radix2_q31(
const arm_cfft_radix2_instance_q31 * S,
q31_t * pSrc)
{
if(S->ifftFlag == 1u)
{
arm_radix2_butterfly_inverse_q31(pSrc, S->fftLen,
S->pTwiddle, S->twidCoefModifier);
}
else
{
arm_radix2_butterfly_q31(pSrc, S->fftLen,
S->pTwiddle, S->twidCoefModifier);
}
arm_bitreversal_q31(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
}
/**
* @} end of ComplexFFT group
*/
void arm_radix2_butterfly_q31(
q31_t * pSrc,
uint32_t fftLen,
q31_t * pCoef,
uint16_t twidCoefModifier)
{
unsigned i, j, k, l, m;
unsigned n1, n2, ia;
q31_t xt, yt, cosVal, sinVal;
q31_t p0, p1;
//N = fftLen;
n2 = fftLen;
n1 = n2;
n2 = n2 >> 1;
ia = 0;
// loop for groups
for (i = 0; i < n2; i++)
{
cosVal = pCoef[ia * 2];
sinVal = pCoef[(ia * 2) + 1];
ia = ia + twidCoefModifier;
l = i + n2;
xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
pSrc[2 * i + 1] =
((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
mult_32x32_keep32_R(p0, xt, cosVal);
mult_32x32_keep32_R(p1, yt, cosVal);
multAcc_32x32_keep32_R(p0, yt, sinVal);
multSub_32x32_keep32_R(p1, xt, sinVal);
pSrc[2u * l] = p0;
pSrc[2u * l + 1u] = p1;
} // groups loop end
twidCoefModifier <<= 1u;
// loop for stage
for (k = fftLen / 2; k > 2; k = k >> 1)
{
n1 = n2;
n2 = n2 >> 1;
ia = 0;
// loop for groups
for (j = 0; j < n2; j++)
{
cosVal = pCoef[ia * 2];
sinVal = pCoef[(ia * 2) + 1];
ia = ia + twidCoefModifier;
// loop for butterfly
i = j;
m = fftLen / n1;
do
{
l = i + n2;
xt = pSrc[2 * i] - pSrc[2 * l];
pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1u;
yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1u;
mult_32x32_keep32_R(p0, xt, cosVal);
mult_32x32_keep32_R(p1, yt, cosVal);
multAcc_32x32_keep32_R(p0, yt, sinVal);
multSub_32x32_keep32_R(p1, xt, sinVal);
pSrc[2u * l] = p0;
pSrc[2u * l + 1u] = p1;
i += n1;
m--;
} while( m > 0); // butterfly loop end
} // groups loop end
twidCoefModifier <<= 1u;
} // stages loop end
n1 = n2;
n2 = n2 >> 1;
ia = 0;
cosVal = pCoef[ia * 2];
sinVal = pCoef[(ia * 2) + 1];
ia = ia + twidCoefModifier;
// loop for butterfly
for (i = 0; i < fftLen; i += n1)
{
l = i + n2;
xt = pSrc[2 * i] - pSrc[2 * l];
pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
pSrc[2u * l] = xt;
pSrc[2u * l + 1u] = yt;
i += n1;
l = i + n2;
xt = pSrc[2 * i] - pSrc[2 * l];
pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
pSrc[2u * l] = xt;
pSrc[2u * l + 1u] = yt;
} // butterfly loop end
}
void arm_radix2_butterfly_inverse_q31(
q31_t * pSrc,
uint32_t fftLen,
q31_t * pCoef,
uint16_t twidCoefModifier)
{
unsigned i, j, k, l;
unsigned n1, n2, ia;
q31_t xt, yt, cosVal, sinVal;
q31_t p0, p1;
//N = fftLen;
n2 = fftLen;
n1 = n2;
n2 = n2 >> 1;
ia = 0;
// loop for groups
for (i = 0; i < n2; i++)
{
cosVal = pCoef[ia * 2];
sinVal = pCoef[(ia * 2) + 1];
ia = ia + twidCoefModifier;
l = i + n2;
xt = (pSrc[2 * i] >> 1u) - (pSrc[2 * l] >> 1u);
pSrc[2 * i] = ((pSrc[2 * i] >> 1u) + (pSrc[2 * l] >> 1u)) >> 1u;
yt = (pSrc[2 * i + 1] >> 1u) - (pSrc[2 * l + 1] >> 1u);
pSrc[2 * i + 1] =
((pSrc[2 * l + 1] >> 1u) + (pSrc[2 * i + 1] >> 1u)) >> 1u;
mult_32x32_keep32_R(p0, xt, cosVal);
mult_32x32_keep32_R(p1, yt, cosVal);
multSub_32x32_keep32_R(p0, yt, sinVal);
multAcc_32x32_keep32_R(p1, xt, sinVal);
pSrc[2u * l] = p0;
pSrc[2u * l + 1u] = p1;
} // groups loop end
twidCoefModifier = twidCoefModifier << 1u;
// loop for stage
for (k = fftLen / 2; k > 2; k = k >> 1)
{
n1 = n2;
n2 = n2 >> 1;
ia = 0;
// loop for groups
for (j = 0; j < n2; j++)
{
cosVal = pCoef[ia * 2];
sinVal = pCoef[(ia * 2) + 1];
ia = ia + twidCoefModifier;
// loop for butterfly
for (i = j; i < fftLen; i += n1)
{
l = i + n2;
xt = pSrc[2 * i] - pSrc[2 * l];
pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1u;
yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1u;
mult_32x32_keep32_R(p0, xt, cosVal);
mult_32x32_keep32_R(p1, yt, cosVal);
multSub_32x32_keep32_R(p0, yt, sinVal);
multAcc_32x32_keep32_R(p1, xt, sinVal);
pSrc[2u * l] = p0;
pSrc[2u * l + 1u] = p1;
} // butterfly loop end
} // groups loop end
twidCoefModifier = twidCoefModifier << 1u;
} // stages loop end
n1 = n2;
n2 = n2 >> 1;
ia = 0;
cosVal = pCoef[ia * 2];
sinVal = pCoef[(ia * 2) + 1];
ia = ia + twidCoefModifier;
// loop for butterfly
for (i = 0; i < fftLen; i += n1)
{
l = i + n2;
xt = pSrc[2 * i] - pSrc[2 * l];
pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
pSrc[2u * l] = xt;
pSrc[2u * l + 1u] = yt;
i += n1;
l = i + n2;
xt = pSrc[2 * i] - pSrc[2 * l];
pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
pSrc[2u * l] = xt;
pSrc[2u * l + 1u] = yt;
} // butterfly loop end
}

1210
Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_f32.c Normal file
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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_cfft_radix4_f32.c
*
* Description: Radix-4 Decimation in Frequency CFFT & CIFFT Floating point processing function
*
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
extern void arm_bitreversal_f32(
float32_t * pSrc,
uint16_t fftSize,
uint16_t bitRevFactor,
uint16_t * pBitRevTab);
/**
* @ingroup groupTransforms
*/
/* ----------------------------------------------------------------------
** Internal helper function used by the FFTs
** ------------------------------------------------------------------- */
/*
* @brief Core function for the floating-point CFFT butterfly process.
* @param[in, out] *pSrc points to the in-place buffer of floating-point data type.
* @param[in] fftLen length of the FFT.
* @param[in] *pCoef points to the twiddle coefficient buffer.
* @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
* @return none.
*/
void arm_radix4_butterfly_f32(
float32_t * pSrc,
uint16_t fftLen,
float32_t * pCoef,
uint16_t twidCoefModifier)
{
float32_t co1, co2, co3, si1, si2, si3;
uint32_t ia1, ia2, ia3;
uint32_t i0, i1, i2, i3;
uint32_t n1, n2, j, k;
#ifndef ARM_MATH_CM0_FAMILY_FAMILY
/* Run the below code for Cortex-M4 and Cortex-M3 */
float32_t xaIn, yaIn, xbIn, ybIn, xcIn, ycIn, xdIn, ydIn;
float32_t Xaplusc, Xbplusd, Yaplusc, Ybplusd, Xaminusc, Xbminusd, Yaminusc,
Ybminusd;
float32_t Xb12C_out, Yb12C_out, Xc12C_out, Yc12C_out, Xd12C_out, Yd12C_out;
float32_t Xb12_out, Yb12_out, Xc12_out, Yc12_out, Xd12_out, Yd12_out;
float32_t *ptr1;
float32_t p0,p1,p2,p3,p4,p5;
float32_t a0,a1,a2,a3,a4,a5,a6,a7;
/* Initializations for the first stage */
n2 = fftLen;
n1 = n2;
/* n2 = fftLen/4 */
n2 >>= 2u;
i0 = 0u;
ia1 = 0u;
j = n2;
/* Calculation of first stage */
do
{
/* index calculation for the input as, */
/* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
i1 = i0 + n2;
i2 = i1 + n2;
i3 = i2 + n2;
xaIn = pSrc[(2u * i0)];
yaIn = pSrc[(2u * i0) + 1u];
xbIn = pSrc[(2u * i1)];
ybIn = pSrc[(2u * i1) + 1u];
xcIn = pSrc[(2u * i2)];
ycIn = pSrc[(2u * i2) + 1u];
xdIn = pSrc[(2u * i3)];
ydIn = pSrc[(2u * i3) + 1u];
/* xa + xc */
Xaplusc = xaIn + xcIn;
/* xb + xd */
Xbplusd = xbIn + xdIn;
/* ya + yc */
Yaplusc = yaIn + ycIn;
/* yb + yd */
Ybplusd = ybIn + ydIn;
/* index calculation for the coefficients */
ia2 = ia1 + ia1;
co2 = pCoef[ia2 * 2u];
si2 = pCoef[(ia2 * 2u) + 1u];
/* xa - xc */
Xaminusc = xaIn - xcIn;
/* xb - xd */
Xbminusd = xbIn - xdIn;
/* ya - yc */
Yaminusc = yaIn - ycIn;
/* yb - yd */
Ybminusd = ybIn - ydIn;
/* xa' = xa + xb + xc + xd */
pSrc[(2u * i0)] = Xaplusc + Xbplusd;
/* ya' = ya + yb + yc + yd */
pSrc[(2u * i0) + 1u] = Yaplusc + Ybplusd;
/* (xa - xc) + (yb - yd) */
Xb12C_out = (Xaminusc + Ybminusd);
/* (ya - yc) + (xb - xd) */
Yb12C_out = (Yaminusc - Xbminusd);
/* (xa + xc) - (xb + xd) */
Xc12C_out = (Xaplusc - Xbplusd);
/* (ya + yc) - (yb + yd) */
Yc12C_out = (Yaplusc - Ybplusd);
/* (xa - xc) - (yb - yd) */
Xd12C_out = (Xaminusc - Ybminusd);
/* (ya - yc) + (xb - xd) */
Yd12C_out = (Xbminusd + Yaminusc);
co1 = pCoef[ia1 * 2u];
si1 = pCoef[(ia1 * 2u) + 1u];
/* index calculation for the coefficients */
ia3 = ia2 + ia1;
co3 = pCoef[ia3 * 2u];
si3 = pCoef[(ia3 * 2u) + 1u];
Xb12_out = Xb12C_out * co1;
Yb12_out = Yb12C_out * co1;
Xc12_out = Xc12C_out * co2;
Yc12_out = Yc12C_out * co2;
Xd12_out = Xd12C_out * co3;
Yd12_out = Yd12C_out * co3;
/* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
//Xb12_out -= Yb12C_out * si1;
p0 = Yb12C_out * si1;
/* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
//Yb12_out += Xb12C_out * si1;
p1 = Xb12C_out * si1;
/* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
//Xc12_out -= Yc12C_out * si2;
p2 = Yc12C_out * si2;
/* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
//Yc12_out += Xc12C_out * si2;
p3 = Xc12C_out * si2;
/* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
//Xd12_out -= Yd12C_out * si3;
p4 = Yd12C_out * si3;
/* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
//Yd12_out += Xd12C_out * si3;
p5 = Xd12C_out * si3;
Xb12_out += p0;
Yb12_out -= p1;
Xc12_out += p2;
Yc12_out -= p3;
Xd12_out += p4;
Yd12_out -= p5;
/* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
pSrc[2u * i1] = Xc12_out;
/* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
pSrc[(2u * i1) + 1u] = Yc12_out;
/* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
pSrc[2u * i2] = Xb12_out;
/* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
pSrc[(2u * i2) + 1u] = Yb12_out;
/* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
pSrc[2u * i3] = Xd12_out;
/* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
pSrc[(2u * i3) + 1u] = Yd12_out;
/* Twiddle coefficients index modifier */
ia1 += twidCoefModifier;
/* Updating input index */
i0++;
}
while(--j);
twidCoefModifier <<= 2u;
/* Calculation of second stage to excluding last stage */
for (k = fftLen >> 2u; k > 4u; k >>= 2u)
{
/* Initializations for the first stage */
n1 = n2;
n2 >>= 2u;
ia1 = 0u;
/* Calculation of first stage */
j = 0;
do
{
/* index calculation for the coefficients */
ia2 = ia1 + ia1;
ia3 = ia2 + ia1;
co1 = pCoef[ia1 * 2u];
si1 = pCoef[(ia1 * 2u) + 1u];
co2 = pCoef[ia2 * 2u];
si2 = pCoef[(ia2 * 2u) + 1u];
co3 = pCoef[ia3 * 2u];
si3 = pCoef[(ia3 * 2u) + 1u];
/* Twiddle coefficients index modifier */
ia1 += twidCoefModifier;
i0 = j;
do
{
/* index calculation for the input as, */
/* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
i1 = i0 + n2;
i2 = i1 + n2;
i3 = i2 + n2;
xaIn = pSrc[(2u * i0)];
yaIn = pSrc[(2u * i0) + 1u];
xbIn = pSrc[(2u * i1)];
ybIn = pSrc[(2u * i1) + 1u];
xcIn = pSrc[(2u * i2)];
ycIn = pSrc[(2u * i2) + 1u];
xdIn = pSrc[(2u * i3)];
ydIn = pSrc[(2u * i3) + 1u];
/* xa - xc */
Xaminusc = xaIn - xcIn;
/* (xb - xd) */
Xbminusd = xbIn - xdIn;
/* ya - yc */
Yaminusc = yaIn - ycIn;
/* (yb - yd) */
Ybminusd = ybIn - ydIn;
/* xa + xc */
Xaplusc = xaIn + xcIn;
/* xb + xd */
Xbplusd = xbIn + xdIn;
/* ya + yc */
Yaplusc = yaIn + ycIn;
/* yb + yd */
Ybplusd = ybIn + ydIn;
/* (xa - xc) + (yb - yd) */
Xb12C_out = (Xaminusc + Ybminusd);
/* (ya - yc) - (xb - xd) */
Yb12C_out = (Yaminusc - Xbminusd);
/* xa + xc -(xb + xd) */
Xc12C_out = (Xaplusc - Xbplusd);
/* (ya + yc) - (yb + yd) */
Yc12C_out = (Yaplusc - Ybplusd);
/* (xa - xc) - (yb - yd) */
Xd12C_out = (Xaminusc - Ybminusd);
/* (ya - yc) + (xb - xd) */
Yd12C_out = (Xbminusd + Yaminusc);
pSrc[(2u * i0)] = Xaplusc + Xbplusd;
pSrc[(2u * i0) + 1u] = Yaplusc + Ybplusd;
Xb12_out = Xb12C_out * co1;
Yb12_out = Yb12C_out * co1;
Xc12_out = Xc12C_out * co2;
Yc12_out = Yc12C_out * co2;
Xd12_out = Xd12C_out * co3;
Yd12_out = Yd12C_out * co3;
/* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
//Xb12_out -= Yb12C_out * si1;
p0 = Yb12C_out * si1;
/* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
//Yb12_out += Xb12C_out * si1;
p1 = Xb12C_out * si1;
/* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
//Xc12_out -= Yc12C_out * si2;
p2 = Yc12C_out * si2;
/* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
//Yc12_out += Xc12C_out * si2;
p3 = Xc12C_out * si2;
/* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
//Xd12_out -= Yd12C_out * si3;
p4 = Yd12C_out * si3;
/* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
//Yd12_out += Xd12C_out * si3;
p5 = Xd12C_out * si3;
Xb12_out += p0;
Yb12_out -= p1;
Xc12_out += p2;
Yc12_out -= p3;
Xd12_out += p4;
Yd12_out -= p5;
/* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
pSrc[2u * i1] = Xc12_out;
/* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
pSrc[(2u * i1) + 1u] = Yc12_out;
/* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
pSrc[2u * i2] = Xb12_out;
/* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
pSrc[(2u * i2) + 1u] = Yb12_out;
/* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
pSrc[2u * i3] = Xd12_out;
/* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
pSrc[(2u * i3) + 1u] = Yd12_out;
i0 += n1;
} while(i0 < fftLen);
j++;
} while(j <= (n2 - 1u));
twidCoefModifier <<= 2u;
}
j = fftLen >> 2;
ptr1 = &pSrc[0];
/* Calculations of last stage */
do
{
xaIn = ptr1[0];
yaIn = ptr1[1];
xbIn = ptr1[2];
ybIn = ptr1[3];
xcIn = ptr1[4];
ycIn = ptr1[5];
xdIn = ptr1[6];
ydIn = ptr1[7];
/* xa + xc */
Xaplusc = xaIn + xcIn;
/* xa - xc */
Xaminusc = xaIn - xcIn;
/* ya + yc */
Yaplusc = yaIn + ycIn;
/* ya - yc */
Yaminusc = yaIn - ycIn;
/* xb + xd */
Xbplusd = xbIn + xdIn;
/* yb + yd */
Ybplusd = ybIn + ydIn;
/* (xb-xd) */
Xbminusd = xbIn - xdIn;
/* (yb-yd) */
Ybminusd = ybIn - ydIn;
/* xa' = xa + xb + xc + xd */
a0 = (Xaplusc + Xbplusd);
/* ya' = ya + yb + yc + yd */
a1 = (Yaplusc + Ybplusd);
/* xc' = (xa-xb+xc-xd) */
a2 = (Xaplusc - Xbplusd);
/* yc' = (ya-yb+yc-yd) */
a3 = (Yaplusc - Ybplusd);
/* xb' = (xa+yb-xc-yd) */
a4 = (Xaminusc + Ybminusd);
/* yb' = (ya-xb-yc+xd) */
a5 = (Yaminusc - Xbminusd);
/* xd' = (xa-yb-xc+yd)) */
a6 = (Xaminusc - Ybminusd);
/* yd' = (ya+xb-yc-xd) */
a7 = (Xbminusd + Yaminusc);
ptr1[0] = a0;
ptr1[1] = a1;
ptr1[2] = a2;
ptr1[3] = a3;
ptr1[4] = a4;
ptr1[5] = a5;
ptr1[6] = a6;
ptr1[7] = a7;
/* increment pointer by 8 */
ptr1 += 8u;
} while(--j);
#else
float32_t t1, t2, r1, r2, s1, s2;
/* Run the below code for Cortex-M0 */
/* Initializations for the fft calculation */
n2 = fftLen;
n1 = n2;
for (k = fftLen; k > 1u; k >>= 2u)
{
/* Initializations for the fft calculation */
n1 = n2;
n2 >>= 2u;
ia1 = 0u;
/* FFT Calculation */
j = 0;
do
{
/* index calculation for the coefficients */
ia2 = ia1 + ia1;
ia3 = ia2 + ia1;
co1 = pCoef[ia1 * 2u];
si1 = pCoef[(ia1 * 2u) + 1u];
co2 = pCoef[ia2 * 2u];
si2 = pCoef[(ia2 * 2u) + 1u];
co3 = pCoef[ia3 * 2u];
si3 = pCoef[(ia3 * 2u) + 1u];
/* Twiddle coefficients index modifier */
ia1 = ia1 + twidCoefModifier;
i0 = j;
do
{
/* index calculation for the input as, */
/* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
i1 = i0 + n2;
i2 = i1 + n2;
i3 = i2 + n2;
/* xa + xc */
r1 = pSrc[(2u * i0)] + pSrc[(2u * i2)];
/* xa - xc */
r2 = pSrc[(2u * i0)] - pSrc[(2u * i2)];
/* ya + yc */
s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u];
/* ya - yc */
s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u];
/* xb + xd */
t1 = pSrc[2u * i1] + pSrc[2u * i3];
/* xa' = xa + xb + xc + xd */
pSrc[2u * i0] = r1 + t1;
/* xa + xc -(xb + xd) */
r1 = r1 - t1;
/* yb + yd */
t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u];
/* ya' = ya + yb + yc + yd */
pSrc[(2u * i0) + 1u] = s1 + t2;
/* (ya + yc) - (yb + yd) */
s1 = s1 - t2;
/* (yb - yd) */
t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u];
/* (xb - xd) */
t2 = pSrc[2u * i1] - pSrc[2u * i3];
/* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
pSrc[2u * i1] = (r1 * co2) + (s1 * si2);
/* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
pSrc[(2u * i1) + 1u] = (s1 * co2) - (r1 * si2);
/* (xa - xc) + (yb - yd) */
r1 = r2 + t1;
/* (xa - xc) - (yb - yd) */
r2 = r2 - t1;
/* (ya - yc) - (xb - xd) */
s1 = s2 - t2;
/* (ya - yc) + (xb - xd) */
s2 = s2 + t2;
/* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
pSrc[2u * i2] = (r1 * co1) + (s1 * si1);
/* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
pSrc[(2u * i2) + 1u] = (s1 * co1) - (r1 * si1);
/* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
pSrc[2u * i3] = (r2 * co3) + (s2 * si3);
/* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
pSrc[(2u * i3) + 1u] = (s2 * co3) - (r2 * si3);
i0 += n1;
} while( i0 < fftLen);
j++;
} while(j <= (n2 - 1u));
twidCoefModifier <<= 2u;
}
#endif /* #ifndef ARM_MATH_CM0_FAMILY_FAMILY */
}
/*
* @brief Core function for the floating-point CIFFT butterfly process.
* @param[in, out] *pSrc points to the in-place buffer of floating-point data type.
* @param[in] fftLen length of the FFT.
* @param[in] *pCoef points to twiddle coefficient buffer.
* @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
* @param[in] onebyfftLen value of 1/fftLen.
* @return none.
*/
void arm_radix4_butterfly_inverse_f32(
float32_t * pSrc,
uint16_t fftLen,
float32_t * pCoef,
uint16_t twidCoefModifier,
float32_t onebyfftLen)
{
float32_t co1, co2, co3, si1, si2, si3;
uint32_t ia1, ia2, ia3;
uint32_t i0, i1, i2, i3;
uint32_t n1, n2, j, k;
#ifndef ARM_MATH_CM0_FAMILY_FAMILY
float32_t xaIn, yaIn, xbIn, ybIn, xcIn, ycIn, xdIn, ydIn;
float32_t Xaplusc, Xbplusd, Yaplusc, Ybplusd, Xaminusc, Xbminusd, Yaminusc,
Ybminusd;
float32_t Xb12C_out, Yb12C_out, Xc12C_out, Yc12C_out, Xd12C_out, Yd12C_out;
float32_t Xb12_out, Yb12_out, Xc12_out, Yc12_out, Xd12_out, Yd12_out;
float32_t *ptr1;
float32_t p0,p1,p2,p3,p4,p5,p6,p7;
float32_t a0,a1,a2,a3,a4,a5,a6,a7;
/* Initializations for the first stage */
n2 = fftLen;
n1 = n2;
/* n2 = fftLen/4 */
n2 >>= 2u;
i0 = 0u;
ia1 = 0u;
j = n2;
/* Calculation of first stage */
do
{
/* index calculation for the input as, */
/* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
i1 = i0 + n2;
i2 = i1 + n2;
i3 = i2 + n2;
/* Butterfly implementation */
xaIn = pSrc[(2u * i0)];
yaIn = pSrc[(2u * i0) + 1u];
xcIn = pSrc[(2u * i2)];
ycIn = pSrc[(2u * i2) + 1u];
xbIn = pSrc[(2u * i1)];
ybIn = pSrc[(2u * i1) + 1u];
xdIn = pSrc[(2u * i3)];
ydIn = pSrc[(2u * i3) + 1u];
/* xa + xc */
Xaplusc = xaIn + xcIn;
/* xb + xd */
Xbplusd = xbIn + xdIn;
/* ya + yc */
Yaplusc = yaIn + ycIn;
/* yb + yd */
Ybplusd = ybIn + ydIn;
/* index calculation for the coefficients */
ia2 = ia1 + ia1;
co2 = pCoef[ia2 * 2u];
si2 = pCoef[(ia2 * 2u) + 1u];
/* xa - xc */
Xaminusc = xaIn - xcIn;
/* xb - xd */
Xbminusd = xbIn - xdIn;
/* ya - yc */
Yaminusc = yaIn - ycIn;
/* yb - yd */
Ybminusd = ybIn - ydIn;
/* xa' = xa + xb + xc + xd */
pSrc[(2u * i0)] = Xaplusc + Xbplusd;
/* ya' = ya + yb + yc + yd */
pSrc[(2u * i0) + 1u] = Yaplusc + Ybplusd;
/* (xa - xc) - (yb - yd) */
Xb12C_out = (Xaminusc - Ybminusd);
/* (ya - yc) + (xb - xd) */
Yb12C_out = (Yaminusc + Xbminusd);
/* (xa + xc) - (xb + xd) */
Xc12C_out = (Xaplusc - Xbplusd);
/* (ya + yc) - (yb + yd) */
Yc12C_out = (Yaplusc - Ybplusd);
/* (xa - xc) + (yb - yd) */
Xd12C_out = (Xaminusc + Ybminusd);
/* (ya - yc) - (xb - xd) */
Yd12C_out = (Yaminusc - Xbminusd);
co1 = pCoef[ia1 * 2u];
si1 = pCoef[(ia1 * 2u) + 1u];
/* index calculation for the coefficients */
ia3 = ia2 + ia1;
co3 = pCoef[ia3 * 2u];
si3 = pCoef[(ia3 * 2u) + 1u];
Xb12_out = Xb12C_out * co1;
Yb12_out = Yb12C_out * co1;
Xc12_out = Xc12C_out * co2;
Yc12_out = Yc12C_out * co2;
Xd12_out = Xd12C_out * co3;
Yd12_out = Yd12C_out * co3;
/* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
//Xb12_out -= Yb12C_out * si1;
p0 = Yb12C_out * si1;
/* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
//Yb12_out += Xb12C_out * si1;
p1 = Xb12C_out * si1;
/* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
//Xc12_out -= Yc12C_out * si2;
p2 = Yc12C_out * si2;
/* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
//Yc12_out += Xc12C_out * si2;
p3 = Xc12C_out * si2;
/* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
//Xd12_out -= Yd12C_out * si3;
p4 = Yd12C_out * si3;
/* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
//Yd12_out += Xd12C_out * si3;
p5 = Xd12C_out * si3;
Xb12_out -= p0;
Yb12_out += p1;
Xc12_out -= p2;
Yc12_out += p3;
Xd12_out -= p4;
Yd12_out += p5;
/* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
pSrc[2u * i1] = Xc12_out;
/* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
pSrc[(2u * i1) + 1u] = Yc12_out;
/* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
pSrc[2u * i2] = Xb12_out;
/* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
pSrc[(2u * i2) + 1u] = Yb12_out;
/* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
pSrc[2u * i3] = Xd12_out;
/* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
pSrc[(2u * i3) + 1u] = Yd12_out;
/* Twiddle coefficients index modifier */
ia1 = ia1 + twidCoefModifier;
/* Updating input index */
i0 = i0 + 1u;
} while(--j);
twidCoefModifier <<= 2u;
/* Calculation of second stage to excluding last stage */
for (k = fftLen >> 2u; k > 4u; k >>= 2u)
{
/* Initializations for the first stage */
n1 = n2;
n2 >>= 2u;
ia1 = 0u;
/* Calculation of first stage */
j = 0;
do
{
/* index calculation for the coefficients */
ia2 = ia1 + ia1;
ia3 = ia2 + ia1;
co1 = pCoef[ia1 * 2u];
si1 = pCoef[(ia1 * 2u) + 1u];
co2 = pCoef[ia2 * 2u];
si2 = pCoef[(ia2 * 2u) + 1u];
co3 = pCoef[ia3 * 2u];
si3 = pCoef[(ia3 * 2u) + 1u];
/* Twiddle coefficients index modifier */
ia1 = ia1 + twidCoefModifier;
i0 = j;
do
{
/* index calculation for the input as, */
/* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
i1 = i0 + n2;
i2 = i1 + n2;
i3 = i2 + n2;
xaIn = pSrc[(2u * i0)];
yaIn = pSrc[(2u * i0) + 1u];
xbIn = pSrc[(2u * i1)];
ybIn = pSrc[(2u * i1) + 1u];
xcIn = pSrc[(2u * i2)];
ycIn = pSrc[(2u * i2) + 1u];
xdIn = pSrc[(2u * i3)];
ydIn = pSrc[(2u * i3) + 1u];
/* xa - xc */
Xaminusc = xaIn - xcIn;
/* (xb - xd) */
Xbminusd = xbIn - xdIn;
/* ya - yc */
Yaminusc = yaIn - ycIn;
/* (yb - yd) */
Ybminusd = ybIn - ydIn;
/* xa + xc */
Xaplusc = xaIn + xcIn;
/* xb + xd */
Xbplusd = xbIn + xdIn;
/* ya + yc */
Yaplusc = yaIn + ycIn;
/* yb + yd */
Ybplusd = ybIn + ydIn;
/* (xa - xc) - (yb - yd) */
Xb12C_out = (Xaminusc - Ybminusd);
/* (ya - yc) + (xb - xd) */
Yb12C_out = (Yaminusc + Xbminusd);
/* xa + xc -(xb + xd) */
Xc12C_out = (Xaplusc - Xbplusd);
/* (ya + yc) - (yb + yd) */
Yc12C_out = (Yaplusc - Ybplusd);
/* (xa - xc) + (yb - yd) */
Xd12C_out = (Xaminusc + Ybminusd);
/* (ya - yc) - (xb - xd) */
Yd12C_out = (Yaminusc - Xbminusd);
pSrc[(2u * i0)] = Xaplusc + Xbplusd;
pSrc[(2u * i0) + 1u] = Yaplusc + Ybplusd;
Xb12_out = Xb12C_out * co1;
Yb12_out = Yb12C_out * co1;
Xc12_out = Xc12C_out * co2;
Yc12_out = Yc12C_out * co2;
Xd12_out = Xd12C_out * co3;
Yd12_out = Yd12C_out * co3;
/* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
//Xb12_out -= Yb12C_out * si1;
p0 = Yb12C_out * si1;
/* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
//Yb12_out += Xb12C_out * si1;
p1 = Xb12C_out * si1;
/* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
//Xc12_out -= Yc12C_out * si2;
p2 = Yc12C_out * si2;
/* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
//Yc12_out += Xc12C_out * si2;
p3 = Xc12C_out * si2;
/* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
//Xd12_out -= Yd12C_out * si3;
p4 = Yd12C_out * si3;
/* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
//Yd12_out += Xd12C_out * si3;
p5 = Xd12C_out * si3;
Xb12_out -= p0;
Yb12_out += p1;
Xc12_out -= p2;
Yc12_out += p3;
Xd12_out -= p4;
Yd12_out += p5;
/* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
pSrc[2u * i1] = Xc12_out;
/* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
pSrc[(2u * i1) + 1u] = Yc12_out;
/* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
pSrc[2u * i2] = Xb12_out;
/* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
pSrc[(2u * i2) + 1u] = Yb12_out;
/* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
pSrc[2u * i3] = Xd12_out;
/* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
pSrc[(2u * i3) + 1u] = Yd12_out;
i0 += n1;
} while(i0 < fftLen);
j++;
} while(j <= (n2 - 1u));
twidCoefModifier <<= 2u;
}
/* Initializations of last stage */
j = fftLen >> 2;
ptr1 = &pSrc[0];
/* Calculations of last stage */
do
{
xaIn = ptr1[0];
yaIn = ptr1[1];
xbIn = ptr1[2];
ybIn = ptr1[3];
xcIn = ptr1[4];
ycIn = ptr1[5];
xdIn = ptr1[6];
ydIn = ptr1[7];
/* Butterfly implementation */
/* xa + xc */
Xaplusc = xaIn + xcIn;
/* xa - xc */
Xaminusc = xaIn - xcIn;
/* ya + yc */
Yaplusc = yaIn + ycIn;
/* ya - yc */
Yaminusc = yaIn - ycIn;
/* xb + xd */
Xbplusd = xbIn + xdIn;
/* yb + yd */
Ybplusd = ybIn + ydIn;
/* (xb-xd) */
Xbminusd = xbIn - xdIn;
/* (yb-yd) */
Ybminusd = ybIn - ydIn;
/* xa' = (xa+xb+xc+xd) * onebyfftLen */
a0 = (Xaplusc + Xbplusd);
/* ya' = (ya+yb+yc+yd) * onebyfftLen */
a1 = (Yaplusc + Ybplusd);
/* xc' = (xa-xb+xc-xd) * onebyfftLen */
a2 = (Xaplusc - Xbplusd);
/* yc' = (ya-yb+yc-yd) * onebyfftLen */
a3 = (Yaplusc - Ybplusd);
/* xb' = (xa-yb-xc+yd) * onebyfftLen */
a4 = (Xaminusc - Ybminusd);
/* yb' = (ya+xb-yc-xd) * onebyfftLen */
a5 = (Yaminusc + Xbminusd);
/* xd' = (xa-yb-xc+yd) * onebyfftLen */
a6 = (Xaminusc + Ybminusd);
/* yd' = (ya-xb-yc+xd) * onebyfftLen */
a7 = (Yaminusc - Xbminusd);
p0 = a0 * onebyfftLen;
p1 = a1 * onebyfftLen;
p2 = a2 * onebyfftLen;
p3 = a3 * onebyfftLen;
p4 = a4 * onebyfftLen;
p5 = a5 * onebyfftLen;
p6 = a6 * onebyfftLen;
p7 = a7 * onebyfftLen;
/* xa' = (xa+xb+xc+xd) * onebyfftLen */
ptr1[0] = p0;
/* ya' = (ya+yb+yc+yd) * onebyfftLen */
ptr1[1] = p1;
/* xc' = (xa-xb+xc-xd) * onebyfftLen */
ptr1[2] = p2;
/* yc' = (ya-yb+yc-yd) * onebyfftLen */
ptr1[3] = p3;
/* xb' = (xa-yb-xc+yd) * onebyfftLen */
ptr1[4] = p4;
/* yb' = (ya+xb-yc-xd) * onebyfftLen */
ptr1[5] = p5;
/* xd' = (xa-yb-xc+yd) * onebyfftLen */
ptr1[6] = p6;
/* yd' = (ya-xb-yc+xd) * onebyfftLen */
ptr1[7] = p7;
/* increment source pointer by 8 for next calculations */
ptr1 = ptr1 + 8u;
} while(--j);
#else
float32_t t1, t2, r1, r2, s1, s2;
/* Run the below code for Cortex-M0 */
/* Initializations for the first stage */
n2 = fftLen;
n1 = n2;
/* Calculation of first stage */
for (k = fftLen; k > 4u; k >>= 2u)
{
/* Initializations for the first stage */
n1 = n2;
n2 >>= 2u;
ia1 = 0u;
/* Calculation of first stage */
j = 0;
do
{
/* index calculation for the coefficients */
ia2 = ia1 + ia1;
ia3 = ia2 + ia1;
co1 = pCoef[ia1 * 2u];
si1 = pCoef[(ia1 * 2u) + 1u];
co2 = pCoef[ia2 * 2u];
si2 = pCoef[(ia2 * 2u) + 1u];
co3 = pCoef[ia3 * 2u];
si3 = pCoef[(ia3 * 2u) + 1u];
/* Twiddle coefficients index modifier */
ia1 = ia1 + twidCoefModifier;
i0 = j;
do
{
/* index calculation for the input as, */
/* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
i1 = i0 + n2;
i2 = i1 + n2;
i3 = i2 + n2;
/* xa + xc */
r1 = pSrc[(2u * i0)] + pSrc[(2u * i2)];
/* xa - xc */
r2 = pSrc[(2u * i0)] - pSrc[(2u * i2)];
/* ya + yc */
s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u];
/* ya - yc */
s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u];
/* xb + xd */
t1 = pSrc[2u * i1] + pSrc[2u * i3];
/* xa' = xa + xb + xc + xd */
pSrc[2u * i0] = r1 + t1;
/* xa + xc -(xb + xd) */
r1 = r1 - t1;
/* yb + yd */
t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u];
/* ya' = ya + yb + yc + yd */
pSrc[(2u * i0) + 1u] = s1 + t2;
/* (ya + yc) - (yb + yd) */
s1 = s1 - t2;
/* (yb - yd) */
t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u];
/* (xb - xd) */
t2 = pSrc[2u * i1] - pSrc[2u * i3];
/* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
pSrc[2u * i1] = (r1 * co2) - (s1 * si2);
/* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
pSrc[(2u * i1) + 1u] = (s1 * co2) + (r1 * si2);
/* (xa - xc) - (yb - yd) */
r1 = r2 - t1;
/* (xa - xc) + (yb - yd) */
r2 = r2 + t1;
/* (ya - yc) + (xb - xd) */
s1 = s2 + t2;
/* (ya - yc) - (xb - xd) */
s2 = s2 - t2;
/* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
pSrc[2u * i2] = (r1 * co1) - (s1 * si1);
/* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
pSrc[(2u * i2) + 1u] = (s1 * co1) + (r1 * si1);
/* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
pSrc[2u * i3] = (r2 * co3) - (s2 * si3);
/* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
pSrc[(2u * i3) + 1u] = (s2 * co3) + (r2 * si3);
i0 += n1;
} while( i0 < fftLen);
j++;
} while(j <= (n2 - 1u));
twidCoefModifier <<= 2u;
}
/* Initializations of last stage */
n1 = n2;
n2 >>= 2u;
/* Calculations of last stage */
for (i0 = 0u; i0 <= (fftLen - n1); i0 += n1)
{
/* index calculation for the input as, */
/* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
i1 = i0 + n2;
i2 = i1 + n2;
i3 = i2 + n2;
/* Butterfly implementation */
/* xa + xc */
r1 = pSrc[2u * i0] + pSrc[2u * i2];
/* xa - xc */
r2 = pSrc[2u * i0] - pSrc[2u * i2];
/* ya + yc */
s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u];
/* ya - yc */
s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u];
/* xc + xd */
t1 = pSrc[2u * i1] + pSrc[2u * i3];
/* xa' = xa + xb + xc + xd */
pSrc[2u * i0] = (r1 + t1) * onebyfftLen;
/* (xa + xb) - (xc + xd) */
r1 = r1 - t1;
/* yb + yd */
t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u];
/* ya' = ya + yb + yc + yd */
pSrc[(2u * i0) + 1u] = (s1 + t2) * onebyfftLen;
/* (ya + yc) - (yb + yd) */
s1 = s1 - t2;
/* (yb-yd) */
t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u];
/* (xb-xd) */
t2 = pSrc[2u * i1] - pSrc[2u * i3];
/* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
pSrc[2u * i1] = r1 * onebyfftLen;
/* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
pSrc[(2u * i1) + 1u] = s1 * onebyfftLen;
/* (xa - xc) - (yb-yd) */
r1 = r2 - t1;
/* (xa - xc) + (yb-yd) */
r2 = r2 + t1;
/* (ya - yc) + (xb-xd) */
s1 = s2 + t2;
/* (ya - yc) - (xb-xd) */
s2 = s2 - t2;
/* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
pSrc[2u * i2] = r1 * onebyfftLen;
/* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
pSrc[(2u * i2) + 1u] = s1 * onebyfftLen;
/* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
pSrc[2u * i3] = r2 * onebyfftLen;
/* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
pSrc[(2u * i3) + 1u] = s2 * onebyfftLen;
}
#endif /* #ifndef ARM_MATH_CM0_FAMILY_FAMILY */
}
/**
* @addtogroup ComplexFFT
* @{
*/
/**
* @details
* @brief Processing function for the floating-point Radix-4 CFFT/CIFFT.
* @deprecated Do not use this function. It has been superseded by \ref arm_cfft_f32 and will be removed
* in the future.
* @param[in] *S points to an instance of the floating-point Radix-4 CFFT/CIFFT structure.
* @param[in, out] *pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place.
* @return none.
*/
void arm_cfft_radix4_f32(
const arm_cfft_radix4_instance_f32 * S,
float32_t * pSrc)
{
if(S->ifftFlag == 1u)
{
/* Complex IFFT radix-4 */
arm_radix4_butterfly_inverse_f32(pSrc, S->fftLen, S->pTwiddle,
S->twidCoefModifier, S->onebyfftLen);
}
else
{
/* Complex FFT radix-4 */
arm_radix4_butterfly_f32(pSrc, S->fftLen, S->pTwiddle,
S->twidCoefModifier);
}
if(S->bitReverseFlag == 1u)
{
/* Bit Reversal */
arm_bitreversal_f32(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
}
}
/**
* @} end of ComplexFFT group
*/

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Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_f32.c Normal file
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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_cfft_radix4_init_f32.c
*
* Description: Radix-4 Decimation in Frequency Floating-point CFFT & CIFFT Initialization function
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
#include "arm_common_tables.h"
/**
* @ingroup groupTransforms
*/
/**
* @addtogroup ComplexFFT
* @{
*/
/**
* @brief Initialization function for the floating-point CFFT/CIFFT.
* @deprecated Do not use this function. It has been superceded by \ref arm_cfft_f32 and will be removed
* in the future.
* @param[in,out] *S points to an instance of the floating-point CFFT/CIFFT structure.
* @param[in] fftLen length of the FFT.
* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.
* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.
* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value.
*
* \par Description:
* \par
* The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed.
* Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated
* \par
* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.
* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
* \par
* The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.
* \par
* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.
*/
arm_status arm_cfft_radix4_init_f32(
arm_cfft_radix4_instance_f32 * S,
uint16_t fftLen,
uint8_t ifftFlag,
uint8_t bitReverseFlag)
{
/* Initialise the default arm status */
arm_status status = ARM_MATH_SUCCESS;
/* Initialise the FFT length */
S->fftLen = fftLen;
/* Initialise the Twiddle coefficient pointer */
S->pTwiddle = (float32_t *) twiddleCoef;
/* Initialise the Flag for selection of CFFT or CIFFT */
S->ifftFlag = ifftFlag;
/* Initialise the Flag for calculation Bit reversal or not */
S->bitReverseFlag = bitReverseFlag;
/* Initializations of structure parameters depending on the FFT length */
switch (S->fftLen)
{
case 4096u:
/* Initializations of structure parameters for 4096 point FFT */
/* Initialise the twiddle coef modifier value */
S->twidCoefModifier = 1u;
/* Initialise the bit reversal table modifier */
S->bitRevFactor = 1u;
/* Initialise the bit reversal table pointer */
S->pBitRevTable = (uint16_t *) armBitRevTable;
/* Initialise the 1/fftLen Value */
S->onebyfftLen = 0.000244140625;
break;
case 1024u:
/* Initializations of structure parameters for 1024 point FFT */
/* Initialise the twiddle coef modifier value */
S->twidCoefModifier = 4u;
/* Initialise the bit reversal table modifier */
S->bitRevFactor = 4u;
/* Initialise the bit reversal table pointer */
S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
/* Initialise the 1/fftLen Value */
S->onebyfftLen = 0.0009765625f;
break;
case 256u:
/* Initializations of structure parameters for 256 point FFT */
S->twidCoefModifier = 16u;
S->bitRevFactor = 16u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
S->onebyfftLen = 0.00390625f;
break;
case 64u:
/* Initializations of structure parameters for 64 point FFT */
S->twidCoefModifier = 64u;
S->bitRevFactor = 64u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
S->onebyfftLen = 0.015625f;
break;
case 16u:
/* Initializations of structure parameters for 16 point FFT */
S->twidCoefModifier = 256u;
S->bitRevFactor = 256u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
S->onebyfftLen = 0.0625f;
break;
default:
/* Reporting argument error if fftSize is not valid value */
status = ARM_MATH_ARGUMENT_ERROR;
break;
}
return (status);
}
/**
* @} end of ComplexFFT group
*/

152
Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_q15.c Normal file
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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_cfft_radix4_init_q15.c
*
* Description: Radix-4 Decimation in Frequency Q15 FFT & IFFT initialization function
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
#include "arm_common_tables.h"
/**
* @ingroup groupTransforms
*/
/**
* @addtogroup ComplexFFT
* @{
*/
/**
* @brief Initialization function for the Q15 CFFT/CIFFT.
* @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q15 and will be removed
* @param[in,out] *S points to an instance of the Q15 CFFT/CIFFT structure.
* @param[in] fftLen length of the FFT.
* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.
* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.
* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value.
*
* \par Description:
* \par
* The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed.
* Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated
* \par
* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.
* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
* \par
* The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.
* \par
* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.
*/
arm_status arm_cfft_radix4_init_q15(
arm_cfft_radix4_instance_q15 * S,
uint16_t fftLen,
uint8_t ifftFlag,
uint8_t bitReverseFlag)
{
/* Initialise the default arm status */
arm_status status = ARM_MATH_SUCCESS;
/* Initialise the FFT length */
S->fftLen = fftLen;
/* Initialise the Twiddle coefficient pointer */
S->pTwiddle = (q15_t *) twiddleCoef_4096_q15;
/* Initialise the Flag for selection of CFFT or CIFFT */
S->ifftFlag = ifftFlag;
/* Initialise the Flag for calculation Bit reversal or not */
S->bitReverseFlag = bitReverseFlag;
/* Initializations of structure parameters depending on the FFT length */
switch (S->fftLen)
{
case 4096u:
/* Initializations of structure parameters for 4096 point FFT */
/* Initialise the twiddle coef modifier value */
S->twidCoefModifier = 1u;
/* Initialise the bit reversal table modifier */
S->bitRevFactor = 1u;
/* Initialise the bit reversal table pointer */
S->pBitRevTable = (uint16_t *) armBitRevTable;
break;
case 1024u:
/* Initializations of structure parameters for 1024 point FFT */
S->twidCoefModifier = 4u;
S->bitRevFactor = 4u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
break;
case 256u:
/* Initializations of structure parameters for 256 point FFT */
S->twidCoefModifier = 16u;
S->bitRevFactor = 16u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
break;
case 64u:
/* Initializations of structure parameters for 64 point FFT */
S->twidCoefModifier = 64u;
S->bitRevFactor = 64u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
break;
case 16u:
/* Initializations of structure parameters for 16 point FFT */
S->twidCoefModifier = 256u;
S->bitRevFactor = 256u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
break;
default:
/* Reporting argument error if fftSize is not valid value */
status = ARM_MATH_ARGUMENT_ERROR;
break;
}
return (status);
}
/**
* @} end of ComplexFFT group
*/

148
Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_init_q31.c Normal file
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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_cfft_radix4_init_q31.c
*
* Description: Radix-4 Decimation in Frequency Q31 FFT & IFFT initialization function
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
#include "arm_common_tables.h"
/**
* @ingroup groupTransforms
*/
/**
* @addtogroup ComplexFFT
* @{
*/
/**
*
* @brief Initialization function for the Q31 CFFT/CIFFT.
* @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q31 and will be removed
* @param[in,out] *S points to an instance of the Q31 CFFT/CIFFT structure.
* @param[in] fftLen length of the FFT.
* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform.
* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.
* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value.
*
* \par Description:
* \par
* The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed.
* Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated
* \par
* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.
* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
* \par
* The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.
* \par
* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.
*/
arm_status arm_cfft_radix4_init_q31(
arm_cfft_radix4_instance_q31 * S,
uint16_t fftLen,
uint8_t ifftFlag,
uint8_t bitReverseFlag)
{
/* Initialise the default arm status */
arm_status status = ARM_MATH_SUCCESS;
/* Initialise the FFT length */
S->fftLen = fftLen;
/* Initialise the Twiddle coefficient pointer */
S->pTwiddle = (q31_t *) twiddleCoef_4096_q31;
/* Initialise the Flag for selection of CFFT or CIFFT */
S->ifftFlag = ifftFlag;
/* Initialise the Flag for calculation Bit reversal or not */
S->bitReverseFlag = bitReverseFlag;
/* Initializations of Instance structure depending on the FFT length */
switch (S->fftLen)
{
/* Initializations of structure parameters for 4096 point FFT */
case 4096u:
/* Initialise the twiddle coef modifier value */
S->twidCoefModifier = 1u;
/* Initialise the bit reversal table modifier */
S->bitRevFactor = 1u;
/* Initialise the bit reversal table pointer */
S->pBitRevTable = (uint16_t *) armBitRevTable;
break;
/* Initializations of structure parameters for 1024 point FFT */
case 1024u:
/* Initialise the twiddle coef modifier value */
S->twidCoefModifier = 4u;
/* Initialise the bit reversal table modifier */
S->bitRevFactor = 4u;
/* Initialise the bit reversal table pointer */
S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
break;
case 256u:
/* Initializations of structure parameters for 256 point FFT */
S->twidCoefModifier = 16u;
S->bitRevFactor = 16u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
break;
case 64u:
/* Initializations of structure parameters for 64 point FFT */
S->twidCoefModifier = 64u;
S->bitRevFactor = 64u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
break;
case 16u:
/* Initializations of structure parameters for 16 point FFT */
S->twidCoefModifier = 256u;
S->bitRevFactor = 256u;
S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
break;
default:
/* Reporting argument error if fftSize is not valid value */
status = ARM_MATH_ARGUMENT_ERROR;
break;
}
return (status);
}
/**
* @} end of ComplexFFT group
*/

1924
Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_q15.c Normal file
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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_cfft_radix4_q15.c
*
* Description: This file has function definition of Radix-4 FFT & IFFT function and
* In-place bit reversal using bit reversal table
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
void arm_radix4_butterfly_q15(
q15_t * pSrc16,
uint32_t fftLen,
q15_t * pCoef16,
uint32_t twidCoefModifier);
void arm_radix4_butterfly_inverse_q15(
q15_t * pSrc16,
uint32_t fftLen,
q15_t * pCoef16,
uint32_t twidCoefModifier);
void arm_bitreversal_q15(
q15_t * pSrc,
uint32_t fftLen,
uint16_t bitRevFactor,
uint16_t * pBitRevTab);
/**
* @ingroup groupTransforms
*/
/**
* @addtogroup ComplexFFT
* @{
*/
/**
* @details
* @brief Processing function for the Q15 CFFT/CIFFT.
* @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q15 and will be removed
* @param[in] *S points to an instance of the Q15 CFFT/CIFFT structure.
* @param[in, out] *pSrc points to the complex data buffer. Processing occurs in-place.
* @return none.
*
* \par Input and output formats:
* \par
* Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.
* Hence the output format is different for different FFT sizes.
* The input and output formats for different FFT sizes and number of bits to upscale are mentioned in the tables below for CFFT and CIFFT:
* \par
* \image html CFFTQ15.gif "Input and Output Formats for Q15 CFFT"
* \image html CIFFTQ15.gif "Input and Output Formats for Q15 CIFFT"
*/
void arm_cfft_radix4_q15(
const arm_cfft_radix4_instance_q15 * S,
q15_t * pSrc)
{
if(S->ifftFlag == 1u)
{
/* Complex IFFT radix-4 */
arm_radix4_butterfly_inverse_q15(pSrc, S->fftLen, S->pTwiddle,
S->twidCoefModifier);
}
else
{
/* Complex FFT radix-4 */
arm_radix4_butterfly_q15(pSrc, S->fftLen, S->pTwiddle,
S->twidCoefModifier);
}
if(S->bitReverseFlag == 1u)
{
/* Bit Reversal */
arm_bitreversal_q15(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
}
}
/**
* @} end of ComplexFFT group
*/
/*
* Radix-4 FFT algorithm used is :
*
* Input real and imaginary data:
* x(n) = xa + j * ya
* x(n+N/4 ) = xb + j * yb
* x(n+N/2 ) = xc + j * yc
* x(n+3N 4) = xd + j * yd
*
*
* Output real and imaginary data:
* x(4r) = xa'+ j * ya'
* x(4r+1) = xb'+ j * yb'
* x(4r+2) = xc'+ j * yc'
* x(4r+3) = xd'+ j * yd'
*
*
* Twiddle factors for radix-4 FFT:
* Wn = co1 + j * (- si1)
* W2n = co2 + j * (- si2)
* W3n = co3 + j * (- si3)
* The real and imaginary output values for the radix-4 butterfly are
* xa' = xa + xb + xc + xd
* ya' = ya + yb + yc + yd
* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1)
* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1)
* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2)
* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2)
* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3)
* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3)
*
*/
/**
* @brief Core function for the Q15 CFFT butterfly process.
* @param[in, out] *pSrc16 points to the in-place buffer of Q15 data type.
* @param[in] fftLen length of the FFT.
* @param[in] *pCoef16 points to twiddle coefficient buffer.
* @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
* @return none.
*/
void arm_radix4_butterfly_q15(
q15_t * pSrc16,
uint32_t fftLen,
q15_t * pCoef16,
uint32_t twidCoefModifier)
{
#ifndef ARM_MATH_CM0_FAMILY
/* Run the below code for Cortex-M4 and Cortex-M3 */
q31_t R, S, T, U;
q31_t C1, C2, C3, out1, out2;
uint32_t n1, n2, ic, i0, j, k;
q15_t *ptr1;
q15_t *pSi0;
q15_t *pSi1;
q15_t *pSi2;
q15_t *pSi3;
q31_t xaya, xbyb, xcyc, xdyd;
/* Total process is divided into three stages */
/* process first stage, middle stages, & last stage */
/* Initializations for the first stage */
n2 = fftLen;
n1 = n2;
/* n2 = fftLen/4 */
n2 >>= 2u;
/* Index for twiddle coefficient */
ic = 0u;
/* Index for input read and output write */
j = n2;
pSi0 = pSrc16;
pSi1 = pSi0 + 2 * n2;
pSi2 = pSi1 + 2 * n2;
pSi3 = pSi2 + 2 * n2;
/* Input is in 1.15(q15) format */
/* start of first stage process */
do
{
/* Butterfly implementation */
/* Reading i0, i0+fftLen/2 inputs */
/* Read ya (real), xa(imag) input */
T = _SIMD32_OFFSET(pSi0);
T = __SHADD16(T, 0); // this is just a SIMD arithmetic shift right by 1
T = __SHADD16(T, 0); // it turns out doing this twice is 2 cycles, the alternative takes 3 cycles
//in = ((int16_t) (T & 0xFFFF)) >> 2; // alternative code that takes 3 cycles
//T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
/* Read yc (real), xc(imag) input */
S = _SIMD32_OFFSET(pSi2);
S = __SHADD16(S, 0);
S = __SHADD16(S, 0);
/* R = packed((ya + yc), (xa + xc) ) */
R = __QADD16(T, S);
/* S = packed((ya - yc), (xa - xc) ) */
S = __QSUB16(T, S);
/* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
/* Read yb (real), xb(imag) input */
T = _SIMD32_OFFSET(pSi1);
T = __SHADD16(T, 0);
T = __SHADD16(T, 0);
/* Read yd (real), xd(imag) input */
U = _SIMD32_OFFSET(pSi3);
U = __SHADD16(U, 0);
U = __SHADD16(U, 0);
/* T = packed((yb + yd), (xb + xd) ) */
T = __QADD16(T, U);
/* writing the butterfly processed i0 sample */
/* xa' = xa + xb + xc + xd */
/* ya' = ya + yb + yc + yd */
_SIMD32_OFFSET(pSi0) = __SHADD16(R, T);
pSi0 += 2;
/* R = packed((ya + yc) - (yb + yd), (xa + xc)- (xb + xd)) */
R = __QSUB16(R, T);
/* co2 & si2 are read from SIMD Coefficient pointer */
C2 = _SIMD32_OFFSET(pCoef16 + (4u * ic));
#ifndef ARM_MATH_BIG_ENDIAN
/* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
out1 = __SMUAD(C2, R) >> 16u;
/* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
out2 = __SMUSDX(C2, R);
#else
/* xc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
out1 = __SMUSDX(R, C2) >> 16u;
/* yc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
out2 = __SMUAD(C2, R);
#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
/* Reading i0+fftLen/4 */
/* T = packed(yb, xb) */
T = _SIMD32_OFFSET(pSi1);
T = __SHADD16(T, 0);
T = __SHADD16(T, 0);
/* writing the butterfly processed i0 + fftLen/4 sample */
/* writing output(xc', yc') in little endian format */
_SIMD32_OFFSET(pSi1) =
(q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
pSi1 += 2;
/* Butterfly calculations */
/* U = packed(yd, xd) */
U = _SIMD32_OFFSET(pSi3);
U = __SHADD16(U, 0);
U = __SHADD16(U, 0);
/* T = packed(yb-yd, xb-xd) */
T = __QSUB16(T, U);
#ifndef ARM_MATH_BIG_ENDIAN
/* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
R = __QASX(S, T);
/* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */
S = __QSAX(S, T);
#else
/* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
R = __QSAX(S, T);
/* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */
S = __QASX(S, T);
#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
/* co1 & si1 are read from SIMD Coefficient pointer */
C1 = _SIMD32_OFFSET(pCoef16 + (2u * ic));
/* Butterfly process for the i0+fftLen/2 sample */
#ifndef ARM_MATH_BIG_ENDIAN
/* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
out1 = __SMUAD(C1, S) >> 16u;
/* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
out2 = __SMUSDX(C1, S);
#else
/* xb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
out1 = __SMUSDX(S, C1) >> 16u;
/* yb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
out2 = __SMUAD(C1, S);
#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
/* writing output(xb', yb') in little endian format */
_SIMD32_OFFSET(pSi2) =
((out2) & 0xFFFF0000) | ((out1) & 0x0000FFFF);
pSi2 += 2;
/* co3 & si3 are read from SIMD Coefficient pointer */
C3 = _SIMD32_OFFSET(pCoef16 + (6u * ic));
/* Butterfly process for the i0+3fftLen/4 sample */
#ifndef ARM_MATH_BIG_ENDIAN
/* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
out1 = __SMUAD(C3, R) >> 16u;
/* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
out2 = __SMUSDX(C3, R);
#else
/* xd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
out1 = __SMUSDX(R, C3) >> 16u;
/* yd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
out2 = __SMUAD(C3, R);
#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
/* writing output(xd', yd') in little endian format */
_SIMD32_OFFSET(pSi3) =
((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
pSi3 += 2;
/* Twiddle coefficients index modifier */
ic = ic + twidCoefModifier;
} while(--j);
/* data is in 4.11(q11) format */
/* end of first stage process */
/* start of middle stage process */
/* Twiddle coefficients index modifier */
twidCoefModifier <<= 2u;
/* Calculation of Middle stage */
for (k = fftLen / 4u; k > 4u; k >>= 2u)
{
/* Initializations for the middle stage */
n1 = n2;
n2 >>= 2u;
ic = 0u;
for (j = 0u; j <= (n2 - 1u); j++)
{
/* index calculation for the coefficients */
C1 = _SIMD32_OFFSET(pCoef16 + (2u * ic));
C2 = _SIMD32_OFFSET(pCoef16 + (4u * ic));
C3 = _SIMD32_OFFSET(pCoef16 + (6u * ic));
/* Twiddle coefficients index modifier */
ic = ic + twidCoefModifier;
pSi0 = pSrc16 + 2 * j;
pSi1 = pSi0 + 2 * n2;
pSi2 = pSi1 + 2 * n2;
pSi3 = pSi2 + 2 * n2;
/* Butterfly implementation */
for (i0 = j; i0 < fftLen; i0 += n1)
{
/* Reading i0, i0+fftLen/2 inputs */
/* Read ya (real), xa(imag) input */
T = _SIMD32_OFFSET(pSi0);
/* Read yc (real), xc(imag) input */
S = _SIMD32_OFFSET(pSi2);
/* R = packed( (ya + yc), (xa + xc)) */
R = __QADD16(T, S);
/* S = packed((ya - yc), (xa - xc)) */
S = __QSUB16(T, S);
/* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
/* Read yb (real), xb(imag) input */
T = _SIMD32_OFFSET(pSi1);
/* Read yd (real), xd(imag) input */
U = _SIMD32_OFFSET(pSi3);
/* T = packed( (yb + yd), (xb + xd)) */
T = __QADD16(T, U);
/* writing the butterfly processed i0 sample */
/* xa' = xa + xb + xc + xd */
/* ya' = ya + yb + yc + yd */
out1 = __SHADD16(R, T);
out1 = __SHADD16(out1, 0);
_SIMD32_OFFSET(pSi0) = out1;
pSi0 += 2 * n1;
/* R = packed( (ya + yc) - (yb + yd), (xa + xc) - (xb + xd)) */
R = __SHSUB16(R, T);
#ifndef ARM_MATH_BIG_ENDIAN
/* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
out1 = __SMUAD(C2, R) >> 16u;
/* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
out2 = __SMUSDX(C2, R);
#else
/* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
out1 = __SMUSDX(R, C2) >> 16u;
/* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
out2 = __SMUAD(C2, R);
#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
/* Reading i0+3fftLen/4 */
/* Read yb (real), xb(imag) input */
T = _SIMD32_OFFSET(pSi1);
/* writing the butterfly processed i0 + fftLen/4 sample */
/* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
/* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
_SIMD32_OFFSET(pSi1) =
((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
pSi1 += 2 * n1;
/* Butterfly calculations */
/* Read yd (real), xd(imag) input */
U = _SIMD32_OFFSET(pSi3);
/* T = packed(yb-yd, xb-xd) */
T = __QSUB16(T, U);
#ifndef ARM_MATH_BIG_ENDIAN
/* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
R = __SHASX(S, T);
/* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */
S = __SHSAX(S, T);
/* Butterfly process for the i0+fftLen/2 sample */
out1 = __SMUAD(C1, S) >> 16u;
out2 = __SMUSDX(C1, S);
#else
/* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
R = __SHSAX(S, T);
/* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */
S = __SHASX(S, T);
/* Butterfly process for the i0+fftLen/2 sample */
out1 = __SMUSDX(S, C1) >> 16u;
out2 = __SMUAD(C1, S);
#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
/* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
/* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
_SIMD32_OFFSET(pSi2) =
((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
pSi2 += 2 * n1;
/* Butterfly process for the i0+3fftLen/4 sample */
#ifndef ARM_MATH_BIG_ENDIAN
out1 = __SMUAD(C3, R) >> 16u;
out2 = __SMUSDX(C3, R);
#else
out1 = __SMUSDX(R, C3) >> 16u;
out2 = __SMUAD(C3, R);
#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
/* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
/* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
_SIMD32_OFFSET(pSi3) =
((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
pSi3 += 2 * n1;
}
}
/* Twiddle coefficients index modifier */
twidCoefModifier <<= 2u;
}
/* end of middle stage process */
/* data is in 10.6(q6) format for the 1024 point */
/* data is in 8.8(q8) format for the 256 point */
/* data is in 6.10(q10) format for the 64 point */
/* data is in 4.12(q12) format for the 16 point */
/* Initializations for the last stage */
j = fftLen >> 2;
ptr1 = &pSrc16[0];
/* start of last stage process */
/* Butterfly implementation */
do
{
/* Read xa (real), ya(imag) input */
xaya = *__SIMD32(ptr1)++;
/* Read xb (real), yb(imag) input */
xbyb = *__SIMD32(ptr1)++;
/* Read xc (real), yc(imag) input */
xcyc = *__SIMD32(ptr1)++;
/* Read xd (real), yd(imag) input */
xdyd = *__SIMD32(ptr1)++;
/* R = packed((ya + yc), (xa + xc)) */
R = __QADD16(xaya, xcyc);
/* T = packed((yb + yd), (xb + xd)) */
T = __QADD16(xbyb, xdyd);
/* pointer updation for writing */
ptr1 = ptr1 - 8u;
/* xa' = xa + xb + xc + xd */
/* ya' = ya + yb + yc + yd */
*__SIMD32(ptr1)++ = __SHADD16(R, T);
/* T = packed((yb + yd), (xb + xd)) */
T = __QADD16(xbyb, xdyd);
/* xc' = (xa-xb+xc-xd) */
/* yc' = (ya-yb+yc-yd) */
*__SIMD32(ptr1)++ = __SHSUB16(R, T);
/* S = packed((ya - yc), (xa - xc)) */
S = __QSUB16(xaya, xcyc);
/* Read yd (real), xd(imag) input */
/* T = packed( (yb - yd), (xb - xd)) */
U = __QSUB16(xbyb, xdyd);
#ifndef ARM_MATH_BIG_ENDIAN
/* xb' = (xa+yb-xc-yd) */
/* yb' = (ya-xb-yc+xd) */
*__SIMD32(ptr1)++ = __SHSAX(S, U);
/* xd' = (xa-yb-xc+yd) */
/* yd' = (ya+xb-yc-xd) */
*__SIMD32(ptr1)++ = __SHASX(S, U);
#else
/* xb' = (xa+yb-xc-yd) */
/* yb' = (ya-xb-yc+xd) */
*__SIMD32(ptr1)++ = __SHASX(S, U);
/* xd' = (xa-yb-xc+yd) */
/* yd' = (ya+xb-yc-xd) */
*__SIMD32(ptr1)++ = __SHSAX(S, U);
#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
} while(--j);
/* end of last stage process */
/* output is in 11.5(q5) format for the 1024 point */
/* output is in 9.7(q7) format for the 256 point */
/* output is in 7.9(q9) format for the 64 point */
/* output is in 5.11(q11) format for the 16 point */
#else
/* Run the below code for Cortex-M0 */
q15_t R0, R1, S0, S1, T0, T1, U0, U1;
q15_t Co1, Si1, Co2, Si2, Co3, Si3, out1, out2;
uint32_t n1, n2, ic, i0, i1, i2, i3, j, k;
/* Total process is divided into three stages */
/* process first stage, middle stages, & last stage */
/* Initializations for the first stage */
n2 = fftLen;
n1 = n2;
/* n2 = fftLen/4 */
n2 >>= 2u;
/* Index for twiddle coefficient */
ic = 0u;
/* Index for input read and output write */
i0 = 0u;
j = n2;
/* Input is in 1.15(q15) format */
/* start of first stage process */
do
{
/* Butterfly implementation */
/* index calculation for the input as, */
/* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
i1 = i0 + n2;
i2 = i1 + n2;
i3 = i2 + n2;
/* Reading i0, i0+fftLen/2 inputs */
/* input is down scale by 4 to avoid overflow */
/* Read ya (real), xa(imag) input */
T0 = pSrc16[i0 * 2u] >> 2u;
T1 = pSrc16[(i0 * 2u) + 1u] >> 2u;
/* input is down scale by 4 to avoid overflow */
/* Read yc (real), xc(imag) input */
S0 = pSrc16[i2 * 2u] >> 2u;
S1 = pSrc16[(i2 * 2u) + 1u] >> 2u;
/* R0 = (ya + yc) */
R0 = __SSAT(T0 + S0, 16u);
/* R1 = (xa + xc) */
R1 = __SSAT(T1 + S1, 16u);
/* S0 = (ya - yc) */
S0 = __SSAT(T0 - S0, 16);
/* S1 = (xa - xc) */
S1 = __SSAT(T1 - S1, 16);
/* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
/* input is down scale by 4 to avoid overflow */
/* Read yb (real), xb(imag) input */
T0 = pSrc16[i1 * 2u] >> 2u;
T1 = pSrc16[(i1 * 2u) + 1u] >> 2u;
/* input is down scale by 4 to avoid overflow */
/* Read yd (real), xd(imag) input */
U0 = pSrc16[i3 * 2u] >> 2u;
U1 = pSrc16[(i3 * 2u) + 1] >> 2u;
/* T0 = (yb + yd) */
T0 = __SSAT(T0 + U0, 16u);
/* T1 = (xb + xd) */
T1 = __SSAT(T1 + U1, 16u);
/* writing the butterfly processed i0 sample */
/* ya' = ya + yb + yc + yd */
/* xa' = xa + xb + xc + xd */
pSrc16[i0 * 2u] = (R0 >> 1u) + (T0 >> 1u);
pSrc16[(i0 * 2u) + 1u] = (R1 >> 1u) + (T1 >> 1u);
/* R0 = (ya + yc) - (yb + yd) */
/* R1 = (xa + xc) - (xb + xd) */
R0 = __SSAT(R0 - T0, 16u);
R1 = __SSAT(R1 - T1, 16u);
/* co2 & si2 are read from Coefficient pointer */
Co2 = pCoef16[2u * ic * 2u];
Si2 = pCoef16[(2u * ic * 2u) + 1];
/* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
out1 = (q15_t) ((Co2 * R0 + Si2 * R1) >> 16u);
/* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
out2 = (q15_t) ((-Si2 * R0 + Co2 * R1) >> 16u);
/* Reading i0+fftLen/4 */
/* input is down scale by 4 to avoid overflow */
/* T0 = yb, T1 = xb */
T0 = pSrc16[i1 * 2u] >> 2;
T1 = pSrc16[(i1 * 2u) + 1] >> 2;
/* writing the butterfly processed i0 + fftLen/4 sample */
/* writing output(xc', yc') in little endian format */
pSrc16[i1 * 2u] = out1;
pSrc16[(i1 * 2u) + 1] = out2;
/* Butterfly calculations */
/* input is down scale by 4 to avoid overflow */
/* U0 = yd, U1 = xd */
U0 = pSrc16[i3 * 2u] >> 2;
U1 = pSrc16[(i3 * 2u) + 1] >> 2;
/* T0 = yb-yd */
T0 = __SSAT(T0 - U0, 16);
/* T1 = xb-xd */
T1 = __SSAT(T1 - U1, 16);
/* R1 = (ya-yc) + (xb- xd), R0 = (xa-xc) - (yb-yd)) */
R0 = (q15_t) __SSAT((q31_t) (S0 - T1), 16);
R1 = (q15_t) __SSAT((q31_t) (S1 + T0), 16);
/* S1 = (ya-yc) - (xb- xd), S0 = (xa-xc) + (yb-yd)) */
S0 = (q15_t) __SSAT(((q31_t) S0 + T1), 16u);
S1 = (q15_t) __SSAT(((q31_t) S1 - T0), 16u);
/* co1 & si1 are read from Coefficient pointer */
Co1 = pCoef16[ic * 2u];
Si1 = pCoef16[(ic * 2u) + 1];
/* Butterfly process for the i0+fftLen/2 sample */
/* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
out1 = (q15_t) ((Si1 * S1 + Co1 * S0) >> 16);
/* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
out2 = (q15_t) ((-Si1 * S0 + Co1 * S1) >> 16);
/* writing output(xb', yb') in little endian format */
pSrc16[i2 * 2u] = out1;
pSrc16[(i2 * 2u) + 1] = out2;
/* Co3 & si3 are read from Coefficient pointer */
Co3 = pCoef16[3u * (ic * 2u)];
Si3 = pCoef16[(3u * (ic * 2u)) + 1];
/* Butterfly process for the i0+3fftLen/4 sample */
/* xd' = (xa-yb-xc+yd)* Co3 + (ya+xb-yc-xd)* (si3) */
out1 = (q15_t) ((Si3 * R1 + Co3 * R0) >> 16u);
/* yd' = (ya+xb-yc-xd)* Co3 - (xa-yb-xc+yd)* (si3) */
out2 = (q15_t) ((-Si3 * R0 + Co3 * R1) >> 16u);
/* writing output(xd', yd') in little endian format */
pSrc16[i3 * 2u] = out1;
pSrc16[(i3 * 2u) + 1] = out2;
/* Twiddle coefficients index modifier */
ic = ic + twidCoefModifier;
/* Updating input index */
i0 = i0 + 1u;
} while(--j);
/* data is in 4.11(q11) format */
/* end of first stage process */
/* start of middle stage process */
/* Twiddle coefficients index modifier */
twidCoefModifier <<= 2u;
/* Calculation of Middle stage */
for (k = fftLen / 4u; k > 4u; k >>= 2u)
{
/* Initializations for the middle stage */
n1 = n2;
n2 >>= 2u;
ic = 0u;
for (j = 0u; j <= (n2 - 1u); j++)
{
/* index calculation for the coefficients */
Co1 = pCoef16[ic * 2u];
Si1 = pCoef16[(ic * 2u) + 1u];
Co2 = pCoef16[2u * (ic * 2u)];
Si2 = pCoef16[(2u * (ic * 2u)) + 1u];
Co3 = pCoef16[3u * (ic * 2u)];
Si3 = pCoef16[(3u * (ic * 2u)) + 1u];
/* Twiddle coefficients index modifier */
ic = ic + twidCoefModifier;
/* Butterfly implementation */
for (i0 = j; i0 < fftLen; i0 += n1)
{
/* index calculation for the input as, */
/* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
i1 = i0 + n2;
i2 = i1 + n2;
i3 = i2 + n2;
/* Reading i0, i0+fftLen/2 inputs */
/* Read ya (real), xa(imag) input */
T0 = pSrc16[i0 * 2u];
T1 = pSrc16[(i0 * 2u) + 1u];
/* Read yc (real), xc(imag) input */
S0 = pSrc16[i2 * 2u];
S1 = pSrc16[(i2 * 2u) + 1u];
/* R0 = (ya + yc), R1 = (xa + xc) */
R0 = __SSAT(T0 + S0, 16);
R1 = __SSAT(T1 + S1, 16);
/* S0 = (ya - yc), S1 =(xa - xc) */
S0 = __SSAT(T0 - S0, 16);
S1 = __SSAT(T1 - S1, 16);
/* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
/* Read yb (real), xb(imag) input */
T0 = pSrc16[i1 * 2u];
T1 = pSrc16[(i1 * 2u) + 1u];
/* Read yd (real), xd(imag) input */
U0 = pSrc16[i3 * 2u];
U1 = pSrc16[(i3 * 2u) + 1u];
/* T0 = (yb + yd), T1 = (xb + xd) */
T0 = __SSAT(T0 + U0, 16);
T1 = __SSAT(T1 + U1, 16);
/* writing the butterfly processed i0 sample */
/* xa' = xa + xb + xc + xd */
/* ya' = ya + yb + yc + yd */
out1 = ((R0 >> 1u) + (T0 >> 1u)) >> 1u;
out2 = ((R1 >> 1u) + (T1 >> 1u)) >> 1u;
pSrc16[i0 * 2u] = out1;
pSrc16[(2u * i0) + 1u] = out2;
/* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */
R0 = (R0 >> 1u) - (T0 >> 1u);
R1 = (R1 >> 1u) - (T1 >> 1u);
/* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
out1 = (q15_t) ((Co2 * R0 + Si2 * R1) >> 16u);
/* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
out2 = (q15_t) ((-Si2 * R0 + Co2 * R1) >> 16u);
/* Reading i0+3fftLen/4 */
/* Read yb (real), xb(imag) input */
T0 = pSrc16[i1 * 2u];
T1 = pSrc16[(i1 * 2u) + 1u];
/* writing the butterfly processed i0 + fftLen/4 sample */
/* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
/* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
pSrc16[i1 * 2u] = out1;
pSrc16[(i1 * 2u) + 1u] = out2;
/* Butterfly calculations */
/* Read yd (real), xd(imag) input */
U0 = pSrc16[i3 * 2u];
U1 = pSrc16[(i3 * 2u) + 1u];
/* T0 = yb-yd, T1 = xb-xd */
T0 = __SSAT(T0 - U0, 16);
T1 = __SSAT(T1 - U1, 16);
/* R0 = (ya-yc) + (xb- xd), R1 = (xa-xc) - (yb-yd)) */
R0 = (S0 >> 1u) - (T1 >> 1u);
R1 = (S1 >> 1u) + (T0 >> 1u);
/* S0 = (ya-yc) - (xb- xd), S1 = (xa-xc) + (yb-yd)) */
S0 = (S0 >> 1u) + (T1 >> 1u);
S1 = (S1 >> 1u) - (T0 >> 1u);
/* Butterfly process for the i0+fftLen/2 sample */
out1 = (q15_t) ((Co1 * S0 + Si1 * S1) >> 16u);
out2 = (q15_t) ((-Si1 * S0 + Co1 * S1) >> 16u);
/* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
/* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
pSrc16[i2 * 2u] = out1;
pSrc16[(i2 * 2u) + 1u] = out2;
/* Butterfly process for the i0+3fftLen/4 sample */
out1 = (q15_t) ((Si3 * R1 + Co3 * R0) >> 16u);
out2 = (q15_t) ((-Si3 * R0 + Co3 * R1) >> 16u);
/* xd' = (xa-yb-xc+yd)* Co3 + (ya+xb-yc-xd)* (si3) */
/* yd' = (ya+xb-yc-xd)* Co3 - (xa-yb-xc+yd)* (si3) */
pSrc16[i3 * 2u] = out1;
pSrc16[(i3 * 2u) + 1u] = out2;
}
}
/* Twiddle coefficients index modifier */
twidCoefModifier <<= 2u;
}
/* end of middle stage process */
/* data is in 10.6(q6) format for the 1024 point */
/* data is in 8.8(q8) format for the 256 point */
/* data is in 6.10(q10) format for the 64 point */
/* data is in 4.12(q12) format for the 16 point */
/* Initializations for the last stage */
n1 = n2;
n2 >>= 2u;
/* start of last stage process */
/* Butterfly implementation */
for (i0 = 0u; i0 <= (fftLen - n1); i0 += n1)
{
/* index calculation for the input as, */
/* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
i1 = i0 + n2;
i2 = i1 + n2;
i3 = i2 + n2;
/* Reading i0, i0+fftLen/2 inputs */
/* Read ya (real), xa(imag) input */
T0 = pSrc16[i0 * 2u];
T1 = pSrc16[(i0 * 2u) + 1u];
/* Read yc (real), xc(imag) input */
S0 = pSrc16[i2 * 2u];
S1 = pSrc16[(i2 * 2u) + 1u];
/* R0 = (ya + yc), R1 = (xa + xc) */
R0 = __SSAT(T0 + S0, 16u);
R1 = __SSAT(T1 + S1, 16u);
/* S0 = (ya - yc), S1 = (xa - xc) */
S0 = __SSAT(T0 - S0, 16u);
S1 = __SSAT(T1 - S1, 16u);
/* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
/* Read yb (real), xb(imag) input */
T0 = pSrc16[i1 * 2u];
T1 = pSrc16[(i1 * 2u) + 1u];
/* Read yd (real), xd(imag) input */
U0 = pSrc16[i3 * 2u];
U1 = pSrc16[(i3 * 2u) + 1u];
/* T0 = (yb + yd), T1 = (xb + xd)) */
T0 = __SSAT(T0 + U0, 16u);
T1 = __SSAT(T1 + U1, 16u);
/* writing the butterfly processed i0 sample */
/* xa' = xa + xb + xc + xd */
/* ya' = ya + yb + yc + yd */
pSrc16[i0 * 2u] = (R0 >> 1u) + (T0 >> 1u);
pSrc16[(i0 * 2u) + 1u] = (R1 >> 1u) + (T1 >> 1u);
/* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */
R0 = (R0 >> 1u) - (T0 >> 1u);
R1 = (R1 >> 1u) - (T1 >> 1u);
/* Read yb (real), xb(imag) input */
T0 = pSrc16[i1 * 2u];
T1 = pSrc16[(i1 * 2u) + 1u];
/* writing the butterfly processed i0 + fftLen/4 sample */
/* xc' = (xa-xb+xc-xd) */
/* yc' = (ya-yb+yc-yd) */
pSrc16[i1 * 2u] = R0;
pSrc16[(i1 * 2u) + 1u] = R1;
/* Read yd (real), xd(imag) input */
U0 = pSrc16[i3 * 2u];
U1 = pSrc16[(i3 * 2u) + 1u];
/* T0 = (yb - yd), T1 = (xb - xd) */
T0 = __SSAT(T0 - U0, 16u);
T1 = __SSAT(T1 - U1, 16u);
/* writing the butterfly processed i0 + fftLen/2 sample */
/* xb' = (xa+yb-xc-yd) */
/* yb' = (ya-xb-yc+xd) */
pSrc16[i2 * 2u] = (S0 >> 1u) + (T1 >> 1u);
pSrc16[(i2 * 2u) + 1u] = (S1 >> 1u) - (T0 >> 1u);
/* writing the butterfly processed i0 + 3fftLen/4 sample */
/* xd' = (xa-yb-xc+yd) */
/* yd' = (ya+xb-yc-xd) */
pSrc16[i3 * 2u] = (S0 >> 1u) - (T1 >> 1u);
pSrc16[(i3 * 2u) + 1u] = (S1 >> 1u) + (T0 >> 1u);
}
/* end of last stage process */
/* output is in 11.5(q5) format for the 1024 point */
/* output is in 9.7(q7) format for the 256 point */
/* output is in 7.9(q9) format for the 64 point */
/* output is in 5.11(q11) format for the 16 point */
#endif /* #ifndef ARM_MATH_CM0_FAMILY */
}
/**
* @brief Core function for the Q15 CIFFT butterfly process.
* @param[in, out] *pSrc16 points to the in-place buffer of Q15 data type.
* @param[in] fftLen length of the FFT.
* @param[in] *pCoef16 points to twiddle coefficient buffer.
* @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
* @return none.
*/
/*
* Radix-4 IFFT algorithm used is :
*
* CIFFT uses same twiddle coefficients as CFFT function
* x[k] = x[n] + (j)k * x[n + fftLen/4] + (-1)k * x[n+fftLen/2] + (-j)k * x[n+3*fftLen/4]
*
*
* IFFT is implemented with following changes in equations from FFT
*
* Input real and imaginary data:
* x(n) = xa + j * ya
* x(n+N/4 ) = xb + j * yb
* x(n+N/2 ) = xc + j * yc
* x(n+3N 4) = xd + j * yd
*
*
* Output real and imaginary data:
* x(4r) = xa'+ j * ya'
* x(4r+1) = xb'+ j * yb'
* x(4r+2) = xc'+ j * yc'
* x(4r+3) = xd'+ j * yd'
*
*
* Twiddle factors for radix-4 IFFT:
* Wn = co1 + j * (si1)
* W2n = co2 + j * (si2)
* W3n = co3 + j * (si3)
* The real and imaginary output values for the radix-4 butterfly are
* xa' = xa + xb + xc + xd
* ya' = ya + yb + yc + yd
* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1)
* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1)
* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2)
* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2)
* xd' = (xa+yb-xc-yd)* co3 - (ya-xb-yc+xd)* (si3)
* yd' = (ya-xb-yc+xd)* co3 + (xa+yb-xc-yd)* (si3)
*
*/
void arm_radix4_butterfly_inverse_q15(
q15_t * pSrc16,
uint32_t fftLen,
q15_t * pCoef16,
uint32_t twidCoefModifier)
{
#ifndef ARM_MATH_CM0_FAMILY
/* Run the below code for Cortex-M4 and Cortex-M3 */
q31_t R, S, T, U;
q31_t C1, C2, C3, out1, out2;
uint32_t n1, n2, ic, i0, j, k;
q15_t *ptr1;
q15_t *pSi0;
q15_t *pSi1;
q15_t *pSi2;
q15_t *pSi3;
q31_t xaya, xbyb, xcyc, xdyd;
/* Total process is divided into three stages */
/* process first stage, middle stages, & last stage */
/* Initializations for the first stage */
n2 = fftLen;
n1 = n2;
/* n2 = fftLen/4 */
n2 >>= 2u;
/* Index for twiddle coefficient */
ic = 0u;
/* Index for input read and output write */
j = n2;
pSi0 = pSrc16;
pSi1 = pSi0 + 2 * n2;
pSi2 = pSi1 + 2 * n2;
pSi3 = pSi2 + 2 * n2;
/* Input is in 1.15(q15) format */
/* start of first stage process */
do
{
/* Butterfly implementation */
/* Reading i0, i0+fftLen/2 inputs */
/* Read ya (real), xa(imag) input */
T = _SIMD32_OFFSET(pSi0);
T = __SHADD16(T, 0);
T = __SHADD16(T, 0);
/* Read yc (real), xc(imag) input */
S = _SIMD32_OFFSET(pSi2);
S = __SHADD16(S, 0);
S = __SHADD16(S, 0);
/* R = packed((ya + yc), (xa + xc) ) */
R = __QADD16(T, S);
/* S = packed((ya - yc), (xa - xc) ) */
S = __QSUB16(T, S);
/* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
/* Read yb (real), xb(imag) input */
T = _SIMD32_OFFSET(pSi1);
T = __SHADD16(T, 0);
T = __SHADD16(T, 0);
/* Read yd (real), xd(imag) input */
U = _SIMD32_OFFSET(pSi3);
U = __SHADD16(U, 0);
U = __SHADD16(U, 0);
/* T = packed((yb + yd), (xb + xd) ) */
T = __QADD16(T, U);
/* writing the butterfly processed i0 sample */
/* xa' = xa + xb + xc + xd */
/* ya' = ya + yb + yc + yd */
_SIMD32_OFFSET(pSi0) = __SHADD16(R, T);
pSi0 += 2;
/* R = packed((ya + yc) - (yb + yd), (xa + xc)- (xb + xd)) */
R = __QSUB16(R, T);
/* co2 & si2 are read from SIMD Coefficient pointer */
C2 = _SIMD32_OFFSET(pCoef16 + (4u * ic));
#ifndef ARM_MATH_BIG_ENDIAN
/* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
out1 = __SMUSD(C2, R) >> 16u;
/* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
out2 = __SMUADX(C2, R);
#else
/* xc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
out1 = __SMUADX(C2, R) >> 16u;
/* yc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
out2 = __SMUSD(__QSUB16(0, C2), R);
#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
/* Reading i0+fftLen/4 */
/* T = packed(yb, xb) */
T = _SIMD32_OFFSET(pSi1);
T = __SHADD16(T, 0);
T = __SHADD16(T, 0);
/* writing the butterfly processed i0 + fftLen/4 sample */
/* writing output(xc', yc') in little endian format */
_SIMD32_OFFSET(pSi1) =
(q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
pSi1 += 2;
/* Butterfly calculations */
/* U = packed(yd, xd) */
U = _SIMD32_OFFSET(pSi3);
U = __SHADD16(U, 0);
U = __SHADD16(U, 0);
/* T = packed(yb-yd, xb-xd) */
T = __QSUB16(T, U);
#ifndef ARM_MATH_BIG_ENDIAN
/* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
R = __QSAX(S, T);
/* S = packed((ya-yc) + (xb- xd), (xa-xc) - (yb-yd)) */
S = __QASX(S, T);
#else
/* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
R = __QASX(S, T);
/* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */
S = __QSAX(S, T);
#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
/* co1 & si1 are read from SIMD Coefficient pointer */
C1 = _SIMD32_OFFSET(pCoef16 + (2u * ic));
/* Butterfly process for the i0+fftLen/2 sample */
#ifndef ARM_MATH_BIG_ENDIAN
/* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
out1 = __SMUSD(C1, S) >> 16u;
/* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
out2 = __SMUADX(C1, S);
#else
/* xb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
out1 = __SMUADX(C1, S) >> 16u;
/* yb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
out2 = __SMUSD(__QSUB16(0, C1), S);
#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
/* writing output(xb', yb') in little endian format */
_SIMD32_OFFSET(pSi2) =
((out2) & 0xFFFF0000) | ((out1) & 0x0000FFFF);
pSi2 += 2;
/* co3 & si3 are read from SIMD Coefficient pointer */
C3 = _SIMD32_OFFSET(pCoef16 + (6u * ic));
/* Butterfly process for the i0+3fftLen/4 sample */
#ifndef ARM_MATH_BIG_ENDIAN
/* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
out1 = __SMUSD(C3, R) >> 16u;
/* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
out2 = __SMUADX(C3, R);
#else
/* xd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
out1 = __SMUADX(C3, R) >> 16u;
/* yd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
out2 = __SMUSD(__QSUB16(0, C3), R);
#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
/* writing output(xd', yd') in little endian format */
_SIMD32_OFFSET(pSi3) =
((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
pSi3 += 2;
/* Twiddle coefficients index modifier */
ic = ic + twidCoefModifier;
} while(--j);
/* data is in 4.11(q11) format */
/* end of first stage process */
/* start of middle stage process */
/* Twiddle coefficients index modifier */
twidCoefModifier <<= 2u;
/* Calculation of Middle stage */
for (k = fftLen / 4u; k > 4u; k >>= 2u)
{
/* Initializations for the middle stage */
n1 = n2;
n2 >>= 2u;
ic = 0u;
for (j = 0u; j <= (n2 - 1u); j++)
{
/* index calculation for the coefficients */
C1 = _SIMD32_OFFSET(pCoef16 + (2u * ic));
C2 = _SIMD32_OFFSET(pCoef16 + (4u * ic));
C3 = _SIMD32_OFFSET(pCoef16 + (6u * ic));
/* Twiddle coefficients index modifier */
ic = ic + twidCoefModifier;
pSi0 = pSrc16 + 2 * j;
pSi1 = pSi0 + 2 * n2;
pSi2 = pSi1 + 2 * n2;
pSi3 = pSi2 + 2 * n2;
/* Butterfly implementation */
for (i0 = j; i0 < fftLen; i0 += n1)
{
/* Reading i0, i0+fftLen/2 inputs */
/* Read ya (real), xa(imag) input */
T = _SIMD32_OFFSET(pSi0);
/* Read yc (real), xc(imag) input */
S = _SIMD32_OFFSET(pSi2);
/* R = packed( (ya + yc), (xa + xc)) */
R = __QADD16(T, S);
/* S = packed((ya - yc), (xa - xc)) */
S = __QSUB16(T, S);
/* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
/* Read yb (real), xb(imag) input */
T = _SIMD32_OFFSET(pSi1);
/* Read yd (real), xd(imag) input */
U = _SIMD32_OFFSET(pSi3);
/* T = packed( (yb + yd), (xb + xd)) */
T = __QADD16(T, U);
/* writing the butterfly processed i0 sample */
/* xa' = xa + xb + xc + xd */
/* ya' = ya + yb + yc + yd */
out1 = __SHADD16(R, T);
out1 = __SHADD16(out1, 0);
_SIMD32_OFFSET(pSi0) = out1;
pSi0 += 2 * n1;
/* R = packed( (ya + yc) - (yb + yd), (xa + xc) - (xb + xd)) */
R = __SHSUB16(R, T);
#ifndef ARM_MATH_BIG_ENDIAN
/* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
out1 = __SMUSD(C2, R) >> 16u;
/* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
out2 = __SMUADX(C2, R);
#else
/* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
out1 = __SMUADX(R, C2) >> 16u;
/* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
out2 = __SMUSD(__QSUB16(0, C2), R);
#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
/* Reading i0+3fftLen/4 */
/* Read yb (real), xb(imag) input */
T = _SIMD32_OFFSET(pSi1);
/* writing the butterfly processed i0 + fftLen/4 sample */
/* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
/* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
_SIMD32_OFFSET(pSi1) =
((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
pSi1 += 2 * n1;
/* Butterfly calculations */
/* Read yd (real), xd(imag) input */
U = _SIMD32_OFFSET(pSi3);
/* T = packed(yb-yd, xb-xd) */
T = __QSUB16(T, U);
#ifndef ARM_MATH_BIG_ENDIAN
/* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
R = __SHSAX(S, T);
/* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */
S = __SHASX(S, T);
/* Butterfly process for the i0+fftLen/2 sample */
out1 = __SMUSD(C1, S) >> 16u;
out2 = __SMUADX(C1, S);
#else
/* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
R = __SHASX(S, T);
/* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */
S = __SHSAX(S, T);
/* Butterfly process for the i0+fftLen/2 sample */
out1 = __SMUADX(S, C1) >> 16u;
out2 = __SMUSD(__QSUB16(0, C1), S);
#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
/* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
/* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
_SIMD32_OFFSET(pSi2) =
((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
pSi2 += 2 * n1;
/* Butterfly process for the i0+3fftLen/4 sample */
#ifndef ARM_MATH_BIG_ENDIAN
out1 = __SMUSD(C3, R) >> 16u;
out2 = __SMUADX(C3, R);
#else
out1 = __SMUADX(C3, R) >> 16u;
out2 = __SMUSD(__QSUB16(0, C3), R);
#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
/* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
/* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
_SIMD32_OFFSET(pSi3) =
((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF);
pSi3 += 2 * n1;
}
}
/* Twiddle coefficients index modifier */
twidCoefModifier <<= 2u;
}
/* end of middle stage process */
/* data is in 10.6(q6) format for the 1024 point */
/* data is in 8.8(q8) format for the 256 point */
/* data is in 6.10(q10) format for the 64 point */
/* data is in 4.12(q12) format for the 16 point */
/* Initializations for the last stage */
j = fftLen >> 2;
ptr1 = &pSrc16[0];
/* start of last stage process */
/* Butterfly implementation */
do
{
/* Read xa (real), ya(imag) input */
xaya = *__SIMD32(ptr1)++;
/* Read xb (real), yb(imag) input */
xbyb = *__SIMD32(ptr1)++;
/* Read xc (real), yc(imag) input */
xcyc = *__SIMD32(ptr1)++;
/* Read xd (real), yd(imag) input */
xdyd = *__SIMD32(ptr1)++;
/* R = packed((ya + yc), (xa + xc)) */
R = __QADD16(xaya, xcyc);
/* T = packed((yb + yd), (xb + xd)) */
T = __QADD16(xbyb, xdyd);
/* pointer updation for writing */
ptr1 = ptr1 - 8u;
/* xa' = xa + xb + xc + xd */
/* ya' = ya + yb + yc + yd */
*__SIMD32(ptr1)++ = __SHADD16(R, T);
/* T = packed((yb + yd), (xb + xd)) */
T = __QADD16(xbyb, xdyd);
/* xc' = (xa-xb+xc-xd) */
/* yc' = (ya-yb+yc-yd) */
*__SIMD32(ptr1)++ = __SHSUB16(R, T);
/* S = packed((ya - yc), (xa - xc)) */
S = __QSUB16(xaya, xcyc);
/* Read yd (real), xd(imag) input */
/* T = packed( (yb - yd), (xb - xd)) */
U = __QSUB16(xbyb, xdyd);
#ifndef ARM_MATH_BIG_ENDIAN
/* xb' = (xa+yb-xc-yd) */
/* yb' = (ya-xb-yc+xd) */
*__SIMD32(ptr1)++ = __SHASX(S, U);
/* xd' = (xa-yb-xc+yd) */
/* yd' = (ya+xb-yc-xd) */
*__SIMD32(ptr1)++ = __SHSAX(S, U);
#else
/* xb' = (xa+yb-xc-yd) */
/* yb' = (ya-xb-yc+xd) */
*__SIMD32(ptr1)++ = __SHSAX(S, U);
/* xd' = (xa-yb-xc+yd) */
/* yd' = (ya+xb-yc-xd) */
*__SIMD32(ptr1)++ = __SHASX(S, U);
#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
} while(--j);
/* end of last stage process */
/* output is in 11.5(q5) format for the 1024 point */
/* output is in 9.7(q7) format for the 256 point */
/* output is in 7.9(q9) format for the 64 point */
/* output is in 5.11(q11) format for the 16 point */
#else
/* Run the below code for Cortex-M0 */
q15_t R0, R1, S0, S1, T0, T1, U0, U1;
q15_t Co1, Si1, Co2, Si2, Co3, Si3, out1, out2;
uint32_t n1, n2, ic, i0, i1, i2, i3, j, k;
/* Total process is divided into three stages */
/* process first stage, middle stages, & last stage */
/* Initializations for the first stage */
n2 = fftLen;
n1 = n2;
/* n2 = fftLen/4 */
n2 >>= 2u;
/* Index for twiddle coefficient */
ic = 0u;
/* Index for input read and output write */
i0 = 0u;
j = n2;
/* Input is in 1.15(q15) format */
/* Start of first stage process */
do
{
/* Butterfly implementation */
/* index calculation for the input as, */
/* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
i1 = i0 + n2;
i2 = i1 + n2;
i3 = i2 + n2;
/* Reading i0, i0+fftLen/2 inputs */
/* input is down scale by 4 to avoid overflow */
/* Read ya (real), xa(imag) input */
T0 = pSrc16[i0 * 2u] >> 2u;
T1 = pSrc16[(i0 * 2u) + 1u] >> 2u;
/* input is down scale by 4 to avoid overflow */
/* Read yc (real), xc(imag) input */
S0 = pSrc16[i2 * 2u] >> 2u;
S1 = pSrc16[(i2 * 2u) + 1u] >> 2u;
/* R0 = (ya + yc), R1 = (xa + xc) */
R0 = __SSAT(T0 + S0, 16u);
R1 = __SSAT(T1 + S1, 16u);
/* S0 = (ya - yc), S1 = (xa - xc) */
S0 = __SSAT(T0 - S0, 16u);
S1 = __SSAT(T1 - S1, 16u);
/* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
/* input is down scale by 4 to avoid overflow */
/* Read yb (real), xb(imag) input */
T0 = pSrc16[i1 * 2u] >> 2u;
T1 = pSrc16[(i1 * 2u) + 1u] >> 2u;
/* Read yd (real), xd(imag) input */
/* input is down scale by 4 to avoid overflow */
U0 = pSrc16[i3 * 2u] >> 2u;
U1 = pSrc16[(i3 * 2u) + 1u] >> 2u;
/* T0 = (yb + yd), T1 = (xb + xd) */
T0 = __SSAT(T0 + U0, 16u);
T1 = __SSAT(T1 + U1, 16u);
/* writing the butterfly processed i0 sample */
/* xa' = xa + xb + xc + xd */
/* ya' = ya + yb + yc + yd */
pSrc16[i0 * 2u] = (R0 >> 1u) + (T0 >> 1u);
pSrc16[(i0 * 2u) + 1u] = (R1 >> 1u) + (T1 >> 1u);
/* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc)- (xb + xd) */
R0 = __SSAT(R0 - T0, 16u);
R1 = __SSAT(R1 - T1, 16u);
/* co2 & si2 are read from Coefficient pointer */
Co2 = pCoef16[2u * ic * 2u];
Si2 = pCoef16[(2u * ic * 2u) + 1u];
/* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) */
out1 = (q15_t) ((Co2 * R0 - Si2 * R1) >> 16u);
/* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */
out2 = (q15_t) ((Si2 * R0 + Co2 * R1) >> 16u);
/* Reading i0+fftLen/4 */
/* input is down scale by 4 to avoid overflow */
/* T0 = yb, T1 = xb */
T0 = pSrc16[i1 * 2u] >> 2u;
T1 = pSrc16[(i1 * 2u) + 1u] >> 2u;
/* writing the butterfly processed i0 + fftLen/4 sample */
/* writing output(xc', yc') in little endian format */
pSrc16[i1 * 2u] = out1;
pSrc16[(i1 * 2u) + 1u] = out2;
/* Butterfly calculations */
/* input is down scale by 4 to avoid overflow */
/* U0 = yd, U1 = xd) */
U0 = pSrc16[i3 * 2u] >> 2u;
U1 = pSrc16[(i3 * 2u) + 1u] >> 2u;
/* T0 = yb-yd, T1 = xb-xd) */
T0 = __SSAT(T0 - U0, 16u);
T1 = __SSAT(T1 - U1, 16u);
/* R0 = (ya-yc) - (xb- xd) , R1 = (xa-xc) + (yb-yd) */
R0 = (q15_t) __SSAT((q31_t) (S0 + T1), 16);
R1 = (q15_t) __SSAT((q31_t) (S1 - T0), 16);
/* S = (ya-yc) + (xb- xd), S1 = (xa-xc) - (yb-yd) */
S0 = (q15_t) __SSAT((q31_t) (S0 - T1), 16);
S1 = (q15_t) __SSAT((q31_t) (S1 + T0), 16);
/* co1 & si1 are read from Coefficient pointer */
Co1 = pCoef16[ic * 2u];
Si1 = pCoef16[(ic * 2u) + 1u];
/* Butterfly process for the i0+fftLen/2 sample */
/* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) */
out1 = (q15_t) ((Co1 * S0 - Si1 * S1) >> 16u);
/* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) */
out2 = (q15_t) ((Si1 * S0 + Co1 * S1) >> 16u);
/* writing output(xb', yb') in little endian format */
pSrc16[i2 * 2u] = out1;
pSrc16[(i2 * 2u) + 1u] = out2;
/* Co3 & si3 are read from Coefficient pointer */
Co3 = pCoef16[3u * ic * 2u];
Si3 = pCoef16[(3u * ic * 2u) + 1u];
/* Butterfly process for the i0+3fftLen/4 sample */
/* xd' = (xa+yb-xc-yd)* Co3 - (ya-xb-yc+xd)* (si3) */
out1 = (q15_t) ((Co3 * R0 - Si3 * R1) >> 16u);
/* yd' = (ya-xb-yc+xd)* Co3 + (xa+yb-xc-yd)* (si3) */
out2 = (q15_t) ((Si3 * R0 + Co3 * R1) >> 16u);
/* writing output(xd', yd') in little endian format */
pSrc16[i3 * 2u] = out1;
pSrc16[(i3 * 2u) + 1u] = out2;
/* Twiddle coefficients index modifier */
ic = ic + twidCoefModifier;
/* Updating input index */
i0 = i0 + 1u;
} while(--j);
/* End of first stage process */
/* data is in 4.11(q11) format */
/* Start of Middle stage process */
/* Twiddle coefficients index modifier */
twidCoefModifier <<= 2u;
/* Calculation of Middle stage */
for (k = fftLen / 4u; k > 4u; k >>= 2u)
{
/* Initializations for the middle stage */
n1 = n2;
n2 >>= 2u;
ic = 0u;
for (j = 0u; j <= (n2 - 1u); j++)
{
/* index calculation for the coefficients */
Co1 = pCoef16[ic * 2u];
Si1 = pCoef16[(ic * 2u) + 1u];
Co2 = pCoef16[2u * ic * 2u];
Si2 = pCoef16[2u * ic * 2u + 1u];
Co3 = pCoef16[3u * ic * 2u];
Si3 = pCoef16[(3u * ic * 2u) + 1u];
/* Twiddle coefficients index modifier */
ic = ic + twidCoefModifier;
/* Butterfly implementation */
for (i0 = j; i0 < fftLen; i0 += n1)
{
/* index calculation for the input as, */
/* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
i1 = i0 + n2;
i2 = i1 + n2;
i3 = i2 + n2;
/* Reading i0, i0+fftLen/2 inputs */
/* Read ya (real), xa(imag) input */
T0 = pSrc16[i0 * 2u];
T1 = pSrc16[(i0 * 2u) + 1u];
/* Read yc (real), xc(imag) input */
S0 = pSrc16[i2 * 2u];
S1 = pSrc16[(i2 * 2u) + 1u];
/* R0 = (ya + yc), R1 = (xa + xc) */
R0 = __SSAT(T0 + S0, 16u);
R1 = __SSAT(T1 + S1, 16u);
/* S0 = (ya - yc), S1 = (xa - xc) */
S0 = __SSAT(T0 - S0, 16u);
S1 = __SSAT(T1 - S1, 16u);
/* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
/* Read yb (real), xb(imag) input */
T0 = pSrc16[i1 * 2u];
T1 = pSrc16[(i1 * 2u) + 1u];
/* Read yd (real), xd(imag) input */
U0 = pSrc16[i3 * 2u];
U1 = pSrc16[(i3 * 2u) + 1u];
/* T0 = (yb + yd), T1 = (xb + xd) */
T0 = __SSAT(T0 + U0, 16u);
T1 = __SSAT(T1 + U1, 16u);
/* writing the butterfly processed i0 sample */
/* xa' = xa + xb + xc + xd */
/* ya' = ya + yb + yc + yd */
pSrc16[i0 * 2u] = ((R0 >> 1u) + (T0 >> 1u)) >> 1u;
pSrc16[(i0 * 2u) + 1u] = ((R1 >> 1u) + (T1 >> 1u)) >> 1u;
/* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */
R0 = (R0 >> 1u) - (T0 >> 1u);
R1 = (R1 >> 1u) - (T1 >> 1u);
/* (ya-yb+yc-yd)* (si2) - (xa-xb+xc-xd)* co2 */
out1 = (q15_t) ((Co2 * R0 - Si2 * R1) >> 16);
/* (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */
out2 = (q15_t) ((Si2 * R0 + Co2 * R1) >> 16);
/* Reading i0+3fftLen/4 */
/* Read yb (real), xb(imag) input */
T0 = pSrc16[i1 * 2u];
T1 = pSrc16[(i1 * 2u) + 1u];
/* writing the butterfly processed i0 + fftLen/4 sample */
/* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) */
/* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */
pSrc16[i1 * 2u] = out1;
pSrc16[(i1 * 2u) + 1u] = out2;
/* Butterfly calculations */
/* Read yd (real), xd(imag) input */
U0 = pSrc16[i3 * 2u];
U1 = pSrc16[(i3 * 2u) + 1u];
/* T0 = yb-yd, T1 = xb-xd) */
T0 = __SSAT(T0 - U0, 16u);
T1 = __SSAT(T1 - U1, 16u);
/* R0 = (ya-yc) - (xb- xd) , R1 = (xa-xc) + (yb-yd) */
R0 = (S0 >> 1u) + (T1 >> 1u);
R1 = (S1 >> 1u) - (T0 >> 1u);
/* S1 = (ya-yc) + (xb- xd), S1 = (xa-xc) - (yb-yd) */
S0 = (S0 >> 1u) - (T1 >> 1u);
S1 = (S1 >> 1u) + (T0 >> 1u);
/* Butterfly process for the i0+fftLen/2 sample */
out1 = (q15_t) ((Co1 * S0 - Si1 * S1) >> 16u);
out2 = (q15_t) ((Si1 * S0 + Co1 * S1) >> 16u);
/* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) */
/* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) */
pSrc16[i2 * 2u] = out1;
pSrc16[(i2 * 2u) + 1u] = out2;
/* Butterfly process for the i0+3fftLen/4 sample */
out1 = (q15_t) ((Co3 * R0 - Si3 * R1) >> 16u);
out2 = (q15_t) ((Si3 * R0 + Co3 * R1) >> 16u);
/* xd' = (xa+yb-xc-yd)* Co3 - (ya-xb-yc+xd)* (si3) */
/* yd' = (ya-xb-yc+xd)* Co3 + (xa+yb-xc-yd)* (si3) */
pSrc16[i3 * 2u] = out1;
pSrc16[(i3 * 2u) + 1u] = out2;
}
}
/* Twiddle coefficients index modifier */
twidCoefModifier <<= 2u;
}
/* End of Middle stages process */
/* data is in 10.6(q6) format for the 1024 point */
/* data is in 8.8(q8) format for the 256 point */
/* data is in 6.10(q10) format for the 64 point */
/* data is in 4.12(q12) format for the 16 point */
/* start of last stage process */
/* Initializations for the last stage */
n1 = n2;
n2 >>= 2u;
/* Butterfly implementation */
for (i0 = 0u; i0 <= (fftLen - n1); i0 += n1)
{
/* index calculation for the input as, */
/* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
i1 = i0 + n2;
i2 = i1 + n2;
i3 = i2 + n2;
/* Reading i0, i0+fftLen/2 inputs */
/* Read ya (real), xa(imag) input */
T0 = pSrc16[i0 * 2u];
T1 = pSrc16[(i0 * 2u) + 1u];
/* Read yc (real), xc(imag) input */
S0 = pSrc16[i2 * 2u];
S1 = pSrc16[(i2 * 2u) + 1u];
/* R0 = (ya + yc), R1 = (xa + xc) */
R0 = __SSAT(T0 + S0, 16u);
R1 = __SSAT(T1 + S1, 16u);
/* S0 = (ya - yc), S1 = (xa - xc) */
S0 = __SSAT(T0 - S0, 16u);
S1 = __SSAT(T1 - S1, 16u);
/* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
/* Read yb (real), xb(imag) input */
T0 = pSrc16[i1 * 2u];
T1 = pSrc16[(i1 * 2u) + 1u];
/* Read yd (real), xd(imag) input */
U0 = pSrc16[i3 * 2u];
U1 = pSrc16[(i3 * 2u) + 1u];
/* T0 = (yb + yd), T1 = (xb + xd) */
T0 = __SSAT(T0 + U0, 16u);
T1 = __SSAT(T1 + U1, 16u);
/* writing the butterfly processed i0 sample */
/* xa' = xa + xb + xc + xd */
/* ya' = ya + yb + yc + yd */
pSrc16[i0 * 2u] = (R0 >> 1u) + (T0 >> 1u);
pSrc16[(i0 * 2u) + 1u] = (R1 >> 1u) + (T1 >> 1u);
/* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */
R0 = (R0 >> 1u) - (T0 >> 1u);
R1 = (R1 >> 1u) - (T1 >> 1u);
/* Read yb (real), xb(imag) input */
T0 = pSrc16[i1 * 2u];
T1 = pSrc16[(i1 * 2u) + 1u];
/* writing the butterfly processed i0 + fftLen/4 sample */
/* xc' = (xa-xb+xc-xd) */
/* yc' = (ya-yb+yc-yd) */
pSrc16[i1 * 2u] = R0;
pSrc16[(i1 * 2u) + 1u] = R1;
/* Read yd (real), xd(imag) input */
U0 = pSrc16[i3 * 2u];
U1 = pSrc16[(i3 * 2u) + 1u];
/* T0 = (yb - yd), T1 = (xb - xd) */
T0 = __SSAT(T0 - U0, 16u);
T1 = __SSAT(T1 - U1, 16u);
/* writing the butterfly processed i0 + fftLen/2 sample */
/* xb' = (xa-yb-xc+yd) */
/* yb' = (ya+xb-yc-xd) */
pSrc16[i2 * 2u] = (S0 >> 1u) - (T1 >> 1u);
pSrc16[(i2 * 2u) + 1u] = (S1 >> 1u) + (T0 >> 1u);
/* writing the butterfly processed i0 + 3fftLen/4 sample */
/* xd' = (xa+yb-xc-yd) */
/* yd' = (ya-xb-yc+xd) */
pSrc16[i3 * 2u] = (S0 >> 1u) + (T1 >> 1u);
pSrc16[(i3 * 2u) + 1u] = (S1 >> 1u) - (T0 >> 1u);
}
/* end of last stage process */
/* output is in 11.5(q5) format for the 1024 point */
/* output is in 9.7(q7) format for the 256 point */
/* output is in 7.9(q9) format for the 64 point */
/* output is in 5.11(q11) format for the 16 point */
#endif /* #ifndef ARM_MATH_CM0_FAMILY */
}

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Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix4_q31.c Normal file
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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_cfft_radix4_q31.c
*
* Description: This file has function definition of Radix-4 FFT & IFFT function and
* In-place bit reversal using bit reversal table
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
void arm_radix4_butterfly_inverse_q31(
q31_t * pSrc,
uint32_t fftLen,
q31_t * pCoef,
uint32_t twidCoefModifier);
void arm_radix4_butterfly_q31(
q31_t * pSrc,
uint32_t fftLen,
q31_t * pCoef,
uint32_t twidCoefModifier);
void arm_bitreversal_q31(
q31_t * pSrc,
uint32_t fftLen,
uint16_t bitRevFactor,
uint16_t * pBitRevTab);
/**
* @ingroup groupTransforms
*/
/**
* @addtogroup ComplexFFT
* @{
*/
/**
* @details
* @brief Processing function for the Q31 CFFT/CIFFT.
* @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q31 and will be removed
* @param[in] *S points to an instance of the Q31 CFFT/CIFFT structure.
* @param[in, out] *pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place.
* @return none.
*
* \par Input and output formats:
* \par
* Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.
* Hence the output format is different for different FFT sizes.
* The input and output formats for different FFT sizes and number of bits to upscale are mentioned in the tables below for CFFT and CIFFT:
* \par
* \image html CFFTQ31.gif "Input and Output Formats for Q31 CFFT"
* \image html CIFFTQ31.gif "Input and Output Formats for Q31 CIFFT"
*
*/
void arm_cfft_radix4_q31(
const arm_cfft_radix4_instance_q31 * S,
q31_t * pSrc)
{
if(S->ifftFlag == 1u)
{
/* Complex IFFT radix-4 */
arm_radix4_butterfly_inverse_q31(pSrc, S->fftLen, S->pTwiddle,
S->twidCoefModifier);
}
else
{
/* Complex FFT radix-4 */
arm_radix4_butterfly_q31(pSrc, S->fftLen, S->pTwiddle,
S->twidCoefModifier);
}
if(S->bitReverseFlag == 1u)
{
/* Bit Reversal */
arm_bitreversal_q31(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
}
}
/**
* @} end of ComplexFFT group
*/
/*
* Radix-4 FFT algorithm used is :
*
* Input real and imaginary data:
* x(n) = xa + j * ya
* x(n+N/4 ) = xb + j * yb
* x(n+N/2 ) = xc + j * yc
* x(n+3N 4) = xd + j * yd
*
*
* Output real and imaginary data:
* x(4r) = xa'+ j * ya'
* x(4r+1) = xb'+ j * yb'
* x(4r+2) = xc'+ j * yc'
* x(4r+3) = xd'+ j * yd'
*
*
* Twiddle factors for radix-4 FFT:
* Wn = co1 + j * (- si1)
* W2n = co2 + j * (- si2)
* W3n = co3 + j * (- si3)
*
* Butterfly implementation:
* xa' = xa + xb + xc + xd
* ya' = ya + yb + yc + yd
* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1)
* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1)
* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2)
* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2)
* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3)
* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3)
*
*/
/**
* @brief Core function for the Q31 CFFT butterfly process.
* @param[in, out] *pSrc points to the in-place buffer of Q31 data type.
* @param[in] fftLen length of the FFT.
* @param[in] *pCoef points to twiddle coefficient buffer.
* @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
* @return none.
*/
void arm_radix4_butterfly_q31(
q31_t * pSrc,
uint32_t fftLen,
q31_t * pCoef,
uint32_t twidCoefModifier)
{
#if defined(ARM_MATH_CM7)
uint32_t n1, n2, ia1, ia2, ia3, i0, i1, i2, i3, j, k;
q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3;
q31_t xa, xb, xc, xd;
q31_t ya, yb, yc, yd;
q31_t xa_out, xb_out, xc_out, xd_out;
q31_t ya_out, yb_out, yc_out, yd_out;
q31_t *ptr1;
q63_t xaya, xbyb, xcyc, xdyd;
/* Total process is divided into three stages */
/* process first stage, middle stages, & last stage */
/* start of first stage process */
/* Initializations for the first stage */
n2 = fftLen;
n1 = n2;
/* n2 = fftLen/4 */
n2 >>= 2u;
i0 = 0u;
ia1 = 0u;
j = n2;
/* Calculation of first stage */
do
{
/* index calculation for the input as, */
/* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2u], pSrc[i0 + 3fftLen/4] */
i1 = i0 + n2;
i2 = i1 + n2;
i3 = i2 + n2;
/* input is in 1.31(q31) format and provide 4 guard bits for the input */
/* Butterfly implementation */
/* xa + xc */
r1 = (pSrc[(2u * i0)] >> 4u) + (pSrc[(2u * i2)] >> 4u);
/* xa - xc */
r2 = (pSrc[2u * i0] >> 4u) - (pSrc[2u * i2] >> 4u);
/* xb + xd */
t1 = (pSrc[2u * i1] >> 4u) + (pSrc[2u * i3] >> 4u);
/* ya + yc */
s1 = (pSrc[(2u * i0) + 1u] >> 4u) + (pSrc[(2u * i2) + 1u] >> 4u);
/* ya - yc */
s2 = (pSrc[(2u * i0) + 1u] >> 4u) - (pSrc[(2u * i2) + 1u] >> 4u);
/* xa' = xa + xb + xc + xd */
pSrc[2u * i0] = (r1 + t1);
/* (xa + xc) - (xb + xd) */
r1 = r1 - t1;
/* yb + yd */
t2 = (pSrc[(2u * i1) + 1u] >> 4u) + (pSrc[(2u * i3) + 1u] >> 4u);
/* ya' = ya + yb + yc + yd */
pSrc[(2u * i0) + 1u] = (s1 + t2);
/* (ya + yc) - (yb + yd) */
s1 = s1 - t2;
/* yb - yd */
t1 = (pSrc[(2u * i1) + 1u] >> 4u) - (pSrc[(2u * i3) + 1u] >> 4u);
/* xb - xd */
t2 = (pSrc[2u * i1] >> 4u) - (pSrc[2u * i3] >> 4u);
/* index calculation for the coefficients */
ia2 = 2u * ia1;
co2 = pCoef[ia2 * 2u];
si2 = pCoef[(ia2 * 2u) + 1u];
/* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
pSrc[2u * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) +
((int32_t) (((q63_t) s1 * si2) >> 32))) << 1u;
/* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
pSrc[(2u * i1) + 1u] = (((int32_t) (((q63_t) s1 * co2) >> 32)) -
((int32_t) (((q63_t) r1 * si2) >> 32))) << 1u;
/* (xa - xc) + (yb - yd) */
r1 = r2 + t1;
/* (xa - xc) - (yb - yd) */
r2 = r2 - t1;
/* (ya - yc) - (xb - xd) */
s1 = s2 - t2;
/* (ya - yc) + (xb - xd) */
s2 = s2 + t2;
co1 = pCoef[ia1 * 2u];
si1 = pCoef[(ia1 * 2u) + 1u];
/* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
pSrc[2u * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) +
((int32_t) (((q63_t) s1 * si1) >> 32))) << 1u;
/* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
pSrc[(2u * i2) + 1u] = (((int32_t) (((q63_t) s1 * co1) >> 32)) -
((int32_t) (((q63_t) r1 * si1) >> 32))) << 1u;
/* index calculation for the coefficients */
ia3 = 3u * ia1;
co3 = pCoef[ia3 * 2u];
si3 = pCoef[(ia3 * 2u) + 1u];
/* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
pSrc[2u * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) +
((int32_t) (((q63_t) s2 * si3) >> 32))) << 1u;
/* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
pSrc[(2u * i3) + 1u] = (((int32_t) (((q63_t) s2 * co3) >> 32)) -
((int32_t) (((q63_t) r2 * si3) >> 32))) << 1u;
/* Twiddle coefficients index modifier */
ia1 = ia1 + twidCoefModifier;
/* Updating input index */
i0 = i0 + 1u;
} while(--j);
/* end of first stage process */
/* data is in 5.27(q27) format */
/* start of Middle stages process */
/* each stage in middle stages provides two down scaling of the input */
twidCoefModifier <<= 2u;
for (k = fftLen / 4u; k > 4u; k >>= 2u)
{
/* Initializations for the first stage */
n1 = n2;
n2 >>= 2u;
ia1 = 0u;
/* Calculation of first stage */
for (j = 0u; j <= (n2 - 1u); j++)
{
/* index calculation for the coefficients */
ia2 = ia1 + ia1;
ia3 = ia2 + ia1;
co1 = pCoef[ia1 * 2u];
si1 = pCoef[(ia1 * 2u) + 1u];
co2 = pCoef[ia2 * 2u];
si2 = pCoef[(ia2 * 2u) + 1u];
co3 = pCoef[ia3 * 2u];
si3 = pCoef[(ia3 * 2u) + 1u];
/* Twiddle coefficients index modifier */
ia1 = ia1 + twidCoefModifier;
for (i0 = j; i0 < fftLen; i0 += n1)
{
/* index calculation for the input as, */
/* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2u], pSrc[i0 + 3fftLen/4] */
i1 = i0 + n2;
i2 = i1 + n2;
i3 = i2 + n2;
/* Butterfly implementation */
/* xa + xc */
r1 = pSrc[2u * i0] + pSrc[2u * i2];
/* xa - xc */
r2 = pSrc[2u * i0] - pSrc[2u * i2];
/* ya + yc */
s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u];
/* ya - yc */
s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u];
/* xb + xd */
t1 = pSrc[2u * i1] + pSrc[2u * i3];
/* xa' = xa + xb + xc + xd */
pSrc[2u * i0] = (r1 + t1) >> 2u;
/* xa + xc -(xb + xd) */
r1 = r1 - t1;
/* yb + yd */
t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u];
/* ya' = ya + yb + yc + yd */
pSrc[(2u * i0) + 1u] = (s1 + t2) >> 2u;
/* (ya + yc) - (yb + yd) */
s1 = s1 - t2;
/* (yb - yd) */
t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u];
/* (xb - xd) */
t2 = pSrc[2u * i1] - pSrc[2u * i3];
/* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
pSrc[2u * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) +
((int32_t) (((q63_t) s1 * si2) >> 32))) >> 1u;
/* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
pSrc[(2u * i1) + 1u] = (((int32_t) (((q63_t) s1 * co2) >> 32)) -
((int32_t) (((q63_t) r1 * si2) >> 32))) >> 1u;
/* (xa - xc) + (yb - yd) */
r1 = r2 + t1;
/* (xa - xc) - (yb - yd) */
r2 = r2 - t1;
/* (ya - yc) - (xb - xd) */
s1 = s2 - t2;
/* (ya - yc) + (xb - xd) */
s2 = s2 + t2;
/* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
pSrc[2u * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) +
((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1u;
/* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
pSrc[(2u * i2) + 1u] = (((int32_t) (((q63_t) s1 * co1) >> 32)) -
((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1u;
/* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
pSrc[2u * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) +
((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1u;
/* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
pSrc[(2u * i3) + 1u] = (((int32_t) (((q63_t) s2 * co3) >> 32)) -
((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1u;
}
}
twidCoefModifier <<= 2u;
}
#else
uint32_t n1, n2, ia1, ia2, ia3, i0, j, k;
q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3;
q31_t xa, xb, xc, xd;
q31_t ya, yb, yc, yd;
q31_t xa_out, xb_out, xc_out, xd_out;
q31_t ya_out, yb_out, yc_out, yd_out;
q31_t *ptr1;
q31_t *pSi0;
q31_t *pSi1;
q31_t *pSi2;
q31_t *pSi3;
q63_t xaya, xbyb, xcyc, xdyd;
/* Total process is divided into three stages */
/* process first stage, middle stages, & last stage */
/* start of first stage process */
/* Initializations for the first stage */
n2 = fftLen;
n1 = n2;
/* n2 = fftLen/4 */
n2 >>= 2u;
ia1 = 0u;
j = n2;
pSi0 = pSrc;
pSi1 = pSi0 + 2 * n2;
pSi2 = pSi1 + 2 * n2;
pSi3 = pSi2 + 2 * n2;
/* Calculation of first stage */
do
{
/* input is in 1.31(q31) format and provide 4 guard bits for the input */
/* Butterfly implementation */
/* xa + xc */
r1 = (pSi0[0] >> 4u) + (pSi2[0] >> 4u);
/* xa - xc */
r2 = (pSi0[0] >> 4u) - (pSi2[0] >> 4u);
/* xb + xd */
t1 = (pSi1[0] >> 4u) + (pSi3[0] >> 4u);
/* ya + yc */
s1 = (pSi0[1] >> 4u) + (pSi2[1] >> 4u);
/* ya - yc */
s2 = (pSi0[1] >> 4u) - (pSi2[1] >> 4u);
/* xa' = xa + xb + xc + xd */
*pSi0++ = (r1 + t1);
/* (xa + xc) - (xb + xd) */
r1 = r1 - t1;
/* yb + yd */
t2 = (pSi1[1] >> 4u) + (pSi3[1] >> 4u);
/* ya' = ya + yb + yc + yd */
*pSi0++ = (s1 + t2);
/* (ya + yc) - (yb + yd) */
s1 = s1 - t2;
/* yb - yd */
t1 = (pSi1[1] >> 4u) - (pSi3[1] >> 4u);
/* xb - xd */
t2 = (pSi1[0] >> 4u) - (pSi3[0] >> 4u);
/* index calculation for the coefficients */
ia2 = 2u * ia1;
co2 = pCoef[ia2 * 2u];
si2 = pCoef[(ia2 * 2u) + 1u];
/* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
*pSi1++ = (((int32_t) (((q63_t) r1 * co2) >> 32)) +
((int32_t) (((q63_t) s1 * si2) >> 32))) << 1u;
/* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
*pSi1++ = (((int32_t) (((q63_t) s1 * co2) >> 32)) -
((int32_t) (((q63_t) r1 * si2) >> 32))) << 1u;
/* (xa - xc) + (yb - yd) */
r1 = r2 + t1;
/* (xa - xc) - (yb - yd) */
r2 = r2 - t1;
/* (ya - yc) - (xb - xd) */
s1 = s2 - t2;
/* (ya - yc) + (xb - xd) */
s2 = s2 + t2;
co1 = pCoef[ia1 * 2u];
si1 = pCoef[(ia1 * 2u) + 1u];
/* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
*pSi2++ = (((int32_t) (((q63_t) r1 * co1) >> 32)) +
((int32_t) (((q63_t) s1 * si1) >> 32))) << 1u;
/* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
*pSi2++ = (((int32_t) (((q63_t) s1 * co1) >> 32)) -
((int32_t) (((q63_t) r1 * si1) >> 32))) << 1u;
/* index calculation for the coefficients */
ia3 = 3u * ia1;
co3 = pCoef[ia3 * 2u];
si3 = pCoef[(ia3 * 2u) + 1u];
/* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
*pSi3++ = (((int32_t) (((q63_t) r2 * co3) >> 32)) +
((int32_t) (((q63_t) s2 * si3) >> 32))) << 1u;
/* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
*pSi3++ = (((int32_t) (((q63_t) s2 * co3) >> 32)) -
((int32_t) (((q63_t) r2 * si3) >> 32))) << 1u;
/* Twiddle coefficients index modifier */
ia1 = ia1 + twidCoefModifier;
} while(--j);
/* end of first stage process */
/* data is in 5.27(q27) format */
/* start of Middle stages process */
/* each stage in middle stages provides two down scaling of the input */
twidCoefModifier <<= 2u;
for (k = fftLen / 4u; k > 4u; k >>= 2u)
{
/* Initializations for the first stage */
n1 = n2;
n2 >>= 2u;
ia1 = 0u;
/* Calculation of first stage */
for (j = 0u; j <= (n2 - 1u); j++)
{
/* index calculation for the coefficients */
ia2 = ia1 + ia1;
ia3 = ia2 + ia1;
co1 = pCoef[ia1 * 2u];
si1 = pCoef[(ia1 * 2u) + 1u];
co2 = pCoef[ia2 * 2u];
si2 = pCoef[(ia2 * 2u) + 1u];
co3 = pCoef[ia3 * 2u];
si3 = pCoef[(ia3 * 2u) + 1u];
/* Twiddle coefficients index modifier */
ia1 = ia1 + twidCoefModifier;
pSi0 = pSrc + 2 * j;
pSi1 = pSi0 + 2 * n2;
pSi2 = pSi1 + 2 * n2;
pSi3 = pSi2 + 2 * n2;
for (i0 = j; i0 < fftLen; i0 += n1)
{
/* Butterfly implementation */
/* xa + xc */
r1 = pSi0[0] + pSi2[0];
/* xa - xc */
r2 = pSi0[0] - pSi2[0];
/* ya + yc */
s1 = pSi0[1] + pSi2[1];
/* ya - yc */
s2 = pSi0[1] - pSi2[1];
/* xb + xd */
t1 = pSi1[0] + pSi3[0];
/* xa' = xa + xb + xc + xd */
pSi0[0] = (r1 + t1) >> 2u;
/* xa + xc -(xb + xd) */
r1 = r1 - t1;
/* yb + yd */
t2 = pSi1[1] + pSi3[1];
/* ya' = ya + yb + yc + yd */
pSi0[1] = (s1 + t2) >> 2u;
pSi0 += 2 * n1;
/* (ya + yc) - (yb + yd) */
s1 = s1 - t2;
/* (yb - yd) */
t1 = pSi1[1] - pSi3[1];
/* (xb - xd) */
t2 = pSi1[0] - pSi3[0];
/* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
pSi1[0] = (((int32_t) (((q63_t) r1 * co2) >> 32)) +
((int32_t) (((q63_t) s1 * si2) >> 32))) >> 1u;
/* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
pSi1[1] = (((int32_t) (((q63_t) s1 * co2) >> 32)) -
((int32_t) (((q63_t) r1 * si2) >> 32))) >> 1u;
pSi1 += 2 * n1;
/* (xa - xc) + (yb - yd) */
r1 = r2 + t1;
/* (xa - xc) - (yb - yd) */
r2 = r2 - t1;
/* (ya - yc) - (xb - xd) */
s1 = s2 - t2;
/* (ya - yc) + (xb - xd) */
s2 = s2 + t2;
/* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
pSi2[0] = (((int32_t) (((q63_t) r1 * co1) >> 32)) +
((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1u;
/* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
pSi2[1] = (((int32_t) (((q63_t) s1 * co1) >> 32)) -
((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1u;
pSi2 += 2 * n1;
/* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
pSi3[0] = (((int32_t) (((q63_t) r2 * co3) >> 32)) +
((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1u;
/* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
pSi3[1] = (((int32_t) (((q63_t) s2 * co3) >> 32)) -
((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1u;
pSi3 += 2 * n1;
}
}
twidCoefModifier <<= 2u;
}
#endif
/* End of Middle stages process */
/* data is in 11.21(q21) format for the 1024 point as there are 3 middle stages */
/* data is in 9.23(q23) format for the 256 point as there are 2 middle stages */
/* data is in 7.25(q25) format for the 64 point as there are 1 middle stage */
/* data is in 5.27(q27) format for the 16 point as there are no middle stages */
/* start of Last stage process */
/* Initializations for the last stage */
j = fftLen >> 2;
ptr1 = &pSrc[0];
/* Calculations of last stage */
do
{
#ifndef ARM_MATH_BIG_ENDIAN
/* Read xa (real), ya(imag) input */
xaya = *__SIMD64(ptr1)++;
xa = (q31_t) xaya;
ya = (q31_t) (xaya >> 32);
/* Read xb (real), yb(imag) input */
xbyb = *__SIMD64(ptr1)++;
xb = (q31_t) xbyb;
yb = (q31_t) (xbyb >> 32);
/* Read xc (real), yc(imag) input */
xcyc = *__SIMD64(ptr1)++;
xc = (q31_t) xcyc;
yc = (q31_t) (xcyc >> 32);
/* Read xc (real), yc(imag) input */
xdyd = *__SIMD64(ptr1)++;
xd = (q31_t) xdyd;
yd = (q31_t) (xdyd >> 32);
#else
/* Read xa (real), ya(imag) input */
xaya = *__SIMD64(ptr1)++;
ya = (q31_t) xaya;
xa = (q31_t) (xaya >> 32);
/* Read xb (real), yb(imag) input */
xbyb = *__SIMD64(ptr1)++;
yb = (q31_t) xbyb;
xb = (q31_t) (xbyb >> 32);
/* Read xc (real), yc(imag) input */
xcyc = *__SIMD64(ptr1)++;
yc = (q31_t) xcyc;
xc = (q31_t) (xcyc >> 32);
/* Read xc (real), yc(imag) input */
xdyd = *__SIMD64(ptr1)++;
yd = (q31_t) xdyd;
xd = (q31_t) (xdyd >> 32);
#endif
/* xa' = xa + xb + xc + xd */
xa_out = xa + xb + xc + xd;
/* ya' = ya + yb + yc + yd */
ya_out = ya + yb + yc + yd;
/* pointer updation for writing */
ptr1 = ptr1 - 8u;
/* writing xa' and ya' */
*ptr1++ = xa_out;
*ptr1++ = ya_out;
xc_out = (xa - xb + xc - xd);
yc_out = (ya - yb + yc - yd);
/* writing xc' and yc' */
*ptr1++ = xc_out;
*ptr1++ = yc_out;
xb_out = (xa + yb - xc - yd);
yb_out = (ya - xb - yc + xd);
/* writing xb' and yb' */
*ptr1++ = xb_out;
*ptr1++ = yb_out;
xd_out = (xa - yb - xc + yd);
yd_out = (ya + xb - yc - xd);
/* writing xd' and yd' */
*ptr1++ = xd_out;
*ptr1++ = yd_out;
} while(--j);
/* output is in 11.21(q21) format for the 1024 point */
/* output is in 9.23(q23) format for the 256 point */
/* output is in 7.25(q25) format for the 64 point */
/* output is in 5.27(q27) format for the 16 point */
/* End of last stage process */
}
/**
* @brief Core function for the Q31 CIFFT butterfly process.
* @param[in, out] *pSrc points to the in-place buffer of Q31 data type.
* @param[in] fftLen length of the FFT.
* @param[in] *pCoef points to twiddle coefficient buffer.
* @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
* @return none.
*/
/*
* Radix-4 IFFT algorithm used is :
*
* CIFFT uses same twiddle coefficients as CFFT Function
* x[k] = x[n] + (j)k * x[n + fftLen/4] + (-1)k * x[n+fftLen/2] + (-j)k * x[n+3*fftLen/4]
*
*
* IFFT is implemented with following changes in equations from FFT
*
* Input real and imaginary data:
* x(n) = xa + j * ya
* x(n+N/4 ) = xb + j * yb
* x(n+N/2 ) = xc + j * yc
* x(n+3N 4) = xd + j * yd
*
*
* Output real and imaginary data:
* x(4r) = xa'+ j * ya'
* x(4r+1) = xb'+ j * yb'
* x(4r+2) = xc'+ j * yc'
* x(4r+3) = xd'+ j * yd'
*
*
* Twiddle factors for radix-4 IFFT:
* Wn = co1 + j * (si1)
* W2n = co2 + j * (si2)
* W3n = co3 + j * (si3)
* The real and imaginary output values for the radix-4 butterfly are
* xa' = xa + xb + xc + xd
* ya' = ya + yb + yc + yd
* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1)
* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1)
* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2)
* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2)
* xd' = (xa+yb-xc-yd)* co3 - (ya-xb-yc+xd)* (si3)
* yd' = (ya-xb-yc+xd)* co3 + (xa+yb-xc-yd)* (si3)
*
*/
void arm_radix4_butterfly_inverse_q31(
q31_t * pSrc,
uint32_t fftLen,
q31_t * pCoef,
uint32_t twidCoefModifier)
{
#if defined(ARM_MATH_CM7)
uint32_t n1, n2, ia1, ia2, ia3, i0, i1, i2, i3, j, k;
q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3;
q31_t xa, xb, xc, xd;
q31_t ya, yb, yc, yd;
q31_t xa_out, xb_out, xc_out, xd_out;
q31_t ya_out, yb_out, yc_out, yd_out;
q31_t *ptr1;
q63_t xaya, xbyb, xcyc, xdyd;
/* input is be 1.31(q31) format for all FFT sizes */
/* Total process is divided into three stages */
/* process first stage, middle stages, & last stage */
/* Start of first stage process */
/* Initializations for the first stage */
n2 = fftLen;
n1 = n2;
/* n2 = fftLen/4 */
n2 >>= 2u;
i0 = 0u;
ia1 = 0u;
j = n2;
do
{
/* input is in 1.31(q31) format and provide 4 guard bits for the input */
/* index calculation for the input as, */
/* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2u], pSrc[i0 + 3fftLen/4] */
i1 = i0 + n2;
i2 = i1 + n2;
i3 = i2 + n2;
/* Butterfly implementation */
/* xa + xc */
r1 = (pSrc[2u * i0] >> 4u) + (pSrc[2u * i2] >> 4u);
/* xa - xc */
r2 = (pSrc[2u * i0] >> 4u) - (pSrc[2u * i2] >> 4u);
/* xb + xd */
t1 = (pSrc[2u * i1] >> 4u) + (pSrc[2u * i3] >> 4u);
/* ya + yc */
s1 = (pSrc[(2u * i0) + 1u] >> 4u) + (pSrc[(2u * i2) + 1u] >> 4u);
/* ya - yc */
s2 = (pSrc[(2u * i0) + 1u] >> 4u) - (pSrc[(2u * i2) + 1u] >> 4u);
/* xa' = xa + xb + xc + xd */
pSrc[2u * i0] = (r1 + t1);
/* (xa + xc) - (xb + xd) */
r1 = r1 - t1;
/* yb + yd */
t2 = (pSrc[(2u * i1) + 1u] >> 4u) + (pSrc[(2u * i3) + 1u] >> 4u);
/* ya' = ya + yb + yc + yd */
pSrc[(2u * i0) + 1u] = (s1 + t2);
/* (ya + yc) - (yb + yd) */
s1 = s1 - t2;
/* yb - yd */
t1 = (pSrc[(2u * i1) + 1u] >> 4u) - (pSrc[(2u * i3) + 1u] >> 4u);
/* xb - xd */
t2 = (pSrc[2u * i1] >> 4u) - (pSrc[2u * i3] >> 4u);
/* index calculation for the coefficients */
ia2 = 2u * ia1;
co2 = pCoef[ia2 * 2u];
si2 = pCoef[(ia2 * 2u) + 1u];
/* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
pSrc[2u * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) -
((int32_t) (((q63_t) s1 * si2) >> 32))) << 1u;
/* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
pSrc[2u * i1 + 1u] = (((int32_t) (((q63_t) s1 * co2) >> 32)) +
((int32_t) (((q63_t) r1 * si2) >> 32))) << 1u;
/* (xa - xc) - (yb - yd) */
r1 = r2 - t1;
/* (xa - xc) + (yb - yd) */
r2 = r2 + t1;
/* (ya - yc) + (xb - xd) */
s1 = s2 + t2;
/* (ya - yc) - (xb - xd) */
s2 = s2 - t2;
co1 = pCoef[ia1 * 2u];
si1 = pCoef[(ia1 * 2u) + 1u];
/* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
pSrc[2u * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) -
((int32_t) (((q63_t) s1 * si1) >> 32))) << 1u;
/* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
pSrc[(2u * i2) + 1u] = (((int32_t) (((q63_t) s1 * co1) >> 32)) +
((int32_t) (((q63_t) r1 * si1) >> 32))) << 1u;
/* index calculation for the coefficients */
ia3 = 3u * ia1;
co3 = pCoef[ia3 * 2u];
si3 = pCoef[(ia3 * 2u) + 1u];
/* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
pSrc[2u * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) -
((int32_t) (((q63_t) s2 * si3) >> 32))) << 1u;
/* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
pSrc[(2u * i3) + 1u] = (((int32_t) (((q63_t) s2 * co3) >> 32)) +
((int32_t) (((q63_t) r2 * si3) >> 32))) << 1u;
/* Twiddle coefficients index modifier */
ia1 = ia1 + twidCoefModifier;
/* Updating input index */
i0 = i0 + 1u;
} while(--j);
/* data is in 5.27(q27) format */
/* each stage provides two down scaling of the input */
/* Start of Middle stages process */
twidCoefModifier <<= 2u;
/* Calculation of second stage to excluding last stage */
for (k = fftLen / 4u; k > 4u; k >>= 2u)
{
/* Initializations for the first stage */
n1 = n2;
n2 >>= 2u;
ia1 = 0u;
for (j = 0; j <= (n2 - 1u); j++)
{
/* index calculation for the coefficients */
ia2 = ia1 + ia1;
ia3 = ia2 + ia1;
co1 = pCoef[ia1 * 2u];
si1 = pCoef[(ia1 * 2u) + 1u];
co2 = pCoef[ia2 * 2u];
si2 = pCoef[(ia2 * 2u) + 1u];
co3 = pCoef[ia3 * 2u];
si3 = pCoef[(ia3 * 2u) + 1u];
/* Twiddle coefficients index modifier */
ia1 = ia1 + twidCoefModifier;
for (i0 = j; i0 < fftLen; i0 += n1)
{
/* index calculation for the input as, */
/* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2u], pSrc[i0 + 3fftLen/4] */
i1 = i0 + n2;
i2 = i1 + n2;
i3 = i2 + n2;
/* Butterfly implementation */
/* xa + xc */
r1 = pSrc[2u * i0] + pSrc[2u * i2];
/* xa - xc */
r2 = pSrc[2u * i0] - pSrc[2u * i2];
/* ya + yc */
s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u];
/* ya - yc */
s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u];
/* xb + xd */
t1 = pSrc[2u * i1] + pSrc[2u * i3];
/* xa' = xa + xb + xc + xd */
pSrc[2u * i0] = (r1 + t1) >> 2u;
/* xa + xc -(xb + xd) */
r1 = r1 - t1;
/* yb + yd */
t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u];
/* ya' = ya + yb + yc + yd */
pSrc[(2u * i0) + 1u] = (s1 + t2) >> 2u;
/* (ya + yc) - (yb + yd) */
s1 = s1 - t2;
/* (yb - yd) */
t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u];
/* (xb - xd) */
t2 = pSrc[2u * i1] - pSrc[2u * i3];
/* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
pSrc[2u * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32u)) -
((int32_t) (((q63_t) s1 * si2) >> 32u))) >> 1u;
/* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
pSrc[(2u * i1) + 1u] =
(((int32_t) (((q63_t) s1 * co2) >> 32u)) +
((int32_t) (((q63_t) r1 * si2) >> 32u))) >> 1u;
/* (xa - xc) - (yb - yd) */
r1 = r2 - t1;
/* (xa - xc) + (yb - yd) */
r2 = r2 + t1;
/* (ya - yc) + (xb - xd) */
s1 = s2 + t2;
/* (ya - yc) - (xb - xd) */
s2 = s2 - t2;
/* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
pSrc[2u * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) -
((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1u;
/* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
pSrc[(2u * i2) + 1u] = (((int32_t) (((q63_t) s1 * co1) >> 32)) +
((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1u;
/* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
pSrc[(2u * i3)] = (((int32_t) (((q63_t) r2 * co3) >> 32)) -
((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1u;
/* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
pSrc[(2u * i3) + 1u] = (((int32_t) (((q63_t) s2 * co3) >> 32)) +
((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1u;
}
}
twidCoefModifier <<= 2u;
}
#else
uint32_t n1, n2, ia1, ia2, ia3, i0, j, k;
q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3;
q31_t xa, xb, xc, xd;
q31_t ya, yb, yc, yd;
q31_t xa_out, xb_out, xc_out, xd_out;
q31_t ya_out, yb_out, yc_out, yd_out;
q31_t *ptr1;
q31_t *pSi0;
q31_t *pSi1;
q31_t *pSi2;
q31_t *pSi3;
q63_t xaya, xbyb, xcyc, xdyd;
/* input is be 1.31(q31) format for all FFT sizes */
/* Total process is divided into three stages */
/* process first stage, middle stages, & last stage */
/* Start of first stage process */
/* Initializations for the first stage */
n2 = fftLen;
n1 = n2;
/* n2 = fftLen/4 */
n2 >>= 2u;
ia1 = 0u;
j = n2;
pSi0 = pSrc;
pSi1 = pSi0 + 2 * n2;
pSi2 = pSi1 + 2 * n2;
pSi3 = pSi2 + 2 * n2;
do
{
/* Butterfly implementation */
/* xa + xc */
r1 = (pSi0[0] >> 4u) + (pSi2[0] >> 4u);
/* xa - xc */
r2 = (pSi0[0] >> 4u) - (pSi2[0] >> 4u);
/* xb + xd */
t1 = (pSi1[0] >> 4u) + (pSi3[0] >> 4u);
/* ya + yc */
s1 = (pSi0[1] >> 4u) + (pSi2[1] >> 4u);
/* ya - yc */
s2 = (pSi0[1] >> 4u) - (pSi2[1] >> 4u);
/* xa' = xa + xb + xc + xd */
*pSi0++ = (r1 + t1);
/* (xa + xc) - (xb + xd) */
r1 = r1 - t1;
/* yb + yd */
t2 = (pSi1[1] >> 4u) + (pSi3[1] >> 4u);
/* ya' = ya + yb + yc + yd */
*pSi0++ = (s1 + t2);
/* (ya + yc) - (yb + yd) */
s1 = s1 - t2;
/* yb - yd */
t1 = (pSi1[1] >> 4u) - (pSi3[1] >> 4u);
/* xb - xd */
t2 = (pSi1[0] >> 4u) - (pSi3[0] >> 4u);
/* index calculation for the coefficients */
ia2 = 2u * ia1;
co2 = pCoef[ia2 * 2u];
si2 = pCoef[(ia2 * 2u) + 1u];
/* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
*pSi1++ = (((int32_t) (((q63_t) r1 * co2) >> 32)) -
((int32_t) (((q63_t) s1 * si2) >> 32))) << 1u;
/* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
*pSi1++ = (((int32_t) (((q63_t) s1 * co2) >> 32)) +
((int32_t) (((q63_t) r1 * si2) >> 32))) << 1u;
/* (xa - xc) - (yb - yd) */
r1 = r2 - t1;
/* (xa - xc) + (yb - yd) */
r2 = r2 + t1;
/* (ya - yc) + (xb - xd) */
s1 = s2 + t2;
/* (ya - yc) - (xb - xd) */
s2 = s2 - t2;
co1 = pCoef[ia1 * 2u];
si1 = pCoef[(ia1 * 2u) + 1u];
/* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
*pSi2++ = (((int32_t) (((q63_t) r1 * co1) >> 32)) -
((int32_t) (((q63_t) s1 * si1) >> 32))) << 1u;
/* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
*pSi2++ = (((int32_t) (((q63_t) s1 * co1) >> 32)) +
((int32_t) (((q63_t) r1 * si1) >> 32))) << 1u;
/* index calculation for the coefficients */
ia3 = 3u * ia1;
co3 = pCoef[ia3 * 2u];
si3 = pCoef[(ia3 * 2u) + 1u];
/* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
*pSi3++ = (((int32_t) (((q63_t) r2 * co3) >> 32)) -
((int32_t) (((q63_t) s2 * si3) >> 32))) << 1u;
/* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
*pSi3++ = (((int32_t) (((q63_t) s2 * co3) >> 32)) +
((int32_t) (((q63_t) r2 * si3) >> 32))) << 1u;
/* Twiddle coefficients index modifier */
ia1 = ia1 + twidCoefModifier;
} while(--j);
/* data is in 5.27(q27) format */
/* each stage provides two down scaling of the input */
/* Start of Middle stages process */
twidCoefModifier <<= 2u;
/* Calculation of second stage to excluding last stage */
for (k = fftLen / 4u; k > 4u; k >>= 2u)
{
/* Initializations for the first stage */
n1 = n2;
n2 >>= 2u;
ia1 = 0u;
for (j = 0; j <= (n2 - 1u); j++)
{
/* index calculation for the coefficients */
ia2 = ia1 + ia1;
ia3 = ia2 + ia1;
co1 = pCoef[ia1 * 2u];
si1 = pCoef[(ia1 * 2u) + 1u];
co2 = pCoef[ia2 * 2u];
si2 = pCoef[(ia2 * 2u) + 1u];
co3 = pCoef[ia3 * 2u];
si3 = pCoef[(ia3 * 2u) + 1u];
/* Twiddle coefficients index modifier */
ia1 = ia1 + twidCoefModifier;
pSi0 = pSrc + 2 * j;
pSi1 = pSi0 + 2 * n2;
pSi2 = pSi1 + 2 * n2;
pSi3 = pSi2 + 2 * n2;
for (i0 = j; i0 < fftLen; i0 += n1)
{
/* Butterfly implementation */
/* xa + xc */
r1 = pSi0[0] + pSi2[0];
/* xa - xc */
r2 = pSi0[0] - pSi2[0];
/* ya + yc */
s1 = pSi0[1] + pSi2[1];
/* ya - yc */
s2 = pSi0[1] - pSi2[1];
/* xb + xd */
t1 = pSi1[0] + pSi3[0];
/* xa' = xa + xb + xc + xd */
pSi0[0] = (r1 + t1) >> 2u;
/* xa + xc -(xb + xd) */
r1 = r1 - t1;
/* yb + yd */
t2 = pSi1[1] + pSi3[1];
/* ya' = ya + yb + yc + yd */
pSi0[1] = (s1 + t2) >> 2u;
pSi0 += 2 * n1;
/* (ya + yc) - (yb + yd) */
s1 = s1 - t2;
/* (yb - yd) */
t1 = pSi1[1] - pSi3[1];
/* (xb - xd) */
t2 = pSi1[0] - pSi3[0];
/* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
pSi1[0] = (((int32_t) (((q63_t) r1 * co2) >> 32u)) -
((int32_t) (((q63_t) s1 * si2) >> 32u))) >> 1u;
/* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
pSi1[1] =
(((int32_t) (((q63_t) s1 * co2) >> 32u)) +
((int32_t) (((q63_t) r1 * si2) >> 32u))) >> 1u;
pSi1 += 2 * n1;
/* (xa - xc) - (yb - yd) */
r1 = r2 - t1;
/* (xa - xc) + (yb - yd) */
r2 = r2 + t1;
/* (ya - yc) + (xb - xd) */
s1 = s2 + t2;
/* (ya - yc) - (xb - xd) */
s2 = s2 - t2;
/* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
pSi2[0] = (((int32_t) (((q63_t) r1 * co1) >> 32)) -
((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1u;
/* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
pSi2[1] = (((int32_t) (((q63_t) s1 * co1) >> 32)) +
((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1u;
pSi2 += 2 * n1;
/* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
pSi3[0] = (((int32_t) (((q63_t) r2 * co3) >> 32)) -
((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1u;
/* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
pSi3[1] = (((int32_t) (((q63_t) s2 * co3) >> 32)) +
((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1u;
pSi3 += 2 * n1;
}
}
twidCoefModifier <<= 2u;
}
#endif
/* End of Middle stages process */
/* data is in 11.21(q21) format for the 1024 point as there are 3 middle stages */
/* data is in 9.23(q23) format for the 256 point as there are 2 middle stages */
/* data is in 7.25(q25) format for the 64 point as there are 1 middle stage */
/* data is in 5.27(q27) format for the 16 point as there are no middle stages */
/* Start of last stage process */
/* Initializations for the last stage */
j = fftLen >> 2;
ptr1 = &pSrc[0];
/* Calculations of last stage */
do
{
#ifndef ARM_MATH_BIG_ENDIAN
/* Read xa (real), ya(imag) input */
xaya = *__SIMD64(ptr1)++;
xa = (q31_t) xaya;
ya = (q31_t) (xaya >> 32);
/* Read xb (real), yb(imag) input */
xbyb = *__SIMD64(ptr1)++;
xb = (q31_t) xbyb;
yb = (q31_t) (xbyb >> 32);
/* Read xc (real), yc(imag) input */
xcyc = *__SIMD64(ptr1)++;
xc = (q31_t) xcyc;
yc = (q31_t) (xcyc >> 32);
/* Read xc (real), yc(imag) input */
xdyd = *__SIMD64(ptr1)++;
xd = (q31_t) xdyd;
yd = (q31_t) (xdyd >> 32);
#else
/* Read xa (real), ya(imag) input */
xaya = *__SIMD64(ptr1)++;
ya = (q31_t) xaya;
xa = (q31_t) (xaya >> 32);
/* Read xb (real), yb(imag) input */
xbyb = *__SIMD64(ptr1)++;
yb = (q31_t) xbyb;
xb = (q31_t) (xbyb >> 32);
/* Read xc (real), yc(imag) input */
xcyc = *__SIMD64(ptr1)++;
yc = (q31_t) xcyc;
xc = (q31_t) (xcyc >> 32);
/* Read xc (real), yc(imag) input */
xdyd = *__SIMD64(ptr1)++;
yd = (q31_t) xdyd;
xd = (q31_t) (xdyd >> 32);
#endif
/* xa' = xa + xb + xc + xd */
xa_out = xa + xb + xc + xd;
/* ya' = ya + yb + yc + yd */
ya_out = ya + yb + yc + yd;
/* pointer updation for writing */
ptr1 = ptr1 - 8u;
/* writing xa' and ya' */
*ptr1++ = xa_out;
*ptr1++ = ya_out;
xc_out = (xa - xb + xc - xd);
yc_out = (ya - yb + yc - yd);
/* writing xc' and yc' */
*ptr1++ = xc_out;
*ptr1++ = yc_out;
xb_out = (xa - yb - xc + yd);
yb_out = (ya + xb - yc - xd);
/* writing xb' and yb' */
*ptr1++ = xb_out;
*ptr1++ = yb_out;
xd_out = (xa + yb - xc - yd);
yd_out = (ya - xb - yc + xd);
/* writing xd' and yd' */
*ptr1++ = xd_out;
*ptr1++ = yd_out;
} while(--j);
/* output is in 11.21(q21) format for the 1024 point */
/* output is in 9.23(q23) format for the 256 point */
/* output is in 7.25(q25) format for the 64 point */
/* output is in 5.27(q27) format for the 16 point */
/* End of last stage process */
}

384
Drivers/CMSIS/DSP_Lib/Source/TransformFunctions/arm_cfft_radix8_f32.c Normal file
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@@ -0,0 +1,384 @@
/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_cfft_radix8_f32.c
*
* Description: Radix-8 Decimation in Frequency CFFT & CIFFT Floating point processing function
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
/**
* @ingroup groupTransforms
*/
/**
* @defgroup Radix8_CFFT_CIFFT Radix-8 Complex FFT Functions
*
* \par
* Complex Fast Fourier Transform(CFFT) and Complex Inverse Fast Fourier Transform(CIFFT) is an efficient algorithm to compute Discrete Fourier Transform(DFT) and Inverse Discrete Fourier Transform(IDFT).
* Computational complexity of CFFT reduces drastically when compared to DFT.
* \par
* This set of functions implements CFFT/CIFFT
* for floating-point data types. The functions operates on in-place buffer which uses same buffer for input and output.
* Complex input is stored in input buffer in an interleaved fashion.
*
* \par
* The functions operate on blocks of input and output data and each call to the function processes
* <code>2*fftLen</code> samples through the transform. <code>pSrc</code> points to In-place arrays containing <code>2*fftLen</code> values.
* \par
* The <code>pSrc</code> points to the array of in-place buffer of size <code>2*fftLen</code> and inputs and outputs are stored in an interleaved fashion as shown below.
* <pre> {real[0], imag[0], real[1], imag[1],..} </pre>
*
* \par Lengths supported by the transform:
* \par
* Internally, the function utilize a Radix-8 decimation in frequency(DIF) algorithm
* and the size of the FFT supported are of the lengths [ 64, 512, 4096].
*
*
* \par Algorithm:
*
* <b>Complex Fast Fourier Transform:</b>
* \par
* Input real and imaginary data:
* <pre>
* x(n) = xa + j * ya
* x(n+N/4 ) = xb + j * yb
* x(n+N/2 ) = xc + j * yc
* x(n+3N 4) = xd + j * yd
* </pre>
* where N is length of FFT
* \par
* Output real and imaginary data:
* <pre>
* X(4r) = xa'+ j * ya'
* X(4r+1) = xb'+ j * yb'
* X(4r+2) = xc'+ j * yc'
* X(4r+3) = xd'+ j * yd'
* </pre>
* \par
* Twiddle factors for Radix-8 FFT:
* <pre>
* Wn = co1 + j * (- si1)
* W2n = co2 + j * (- si2)
* W3n = co3 + j * (- si3)
* </pre>
*
* \par
* \image html CFFT.gif "Radix-8 Decimation-in Frequency Complex Fast Fourier Transform"
*
* \par
* Output from Radix-8 CFFT Results in Digit reversal order. Interchange middle two branches of every butterfly results in Bit reversed output.
* \par
* <b> Butterfly CFFT equations:</b>
* <pre>
* xa' = xa + xb + xc + xd
* ya' = ya + yb + yc + yd
* xc' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1)
* yc' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1)
* xb' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2)
* yb' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2)
* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3)
* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3)
* </pre>
*
* \par
* where <code>fftLen</code> length of CFFT/CIFFT; <code>ifftFlag</code> Flag for selection of CFFT or CIFFT(Set ifftFlag to calculate CIFFT otherwise calculates CFFT);
* <code>bitReverseFlag</code> Flag for selection of output order(Set bitReverseFlag to output in normal order otherwise output in bit reversed order);
* <code>pTwiddle</code>points to array of twiddle coefficients; <code>pBitRevTable</code> points to the array of bit reversal table.
* <code>twidCoefModifier</code> modifier for twiddle factor table which supports all FFT lengths with same table;
* <code>pBitRevTable</code> modifier for bit reversal table which supports all FFT lengths with same table.
* <code>onebyfftLen</code> value of 1/fftLen to calculate CIFFT;
*
* \par Fixed-Point Behavior
* Care must be taken when using the fixed-point versions of the CFFT/CIFFT function.
* Refer to the function specific documentation below for usage guidelines.
*/
/*
* @brief Core function for the floating-point CFFT butterfly process.
* @param[in, out] *pSrc points to the in-place buffer of floating-point data type.
* @param[in] fftLen length of the FFT.
* @param[in] *pCoef points to the twiddle coefficient buffer.
* @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
* @return none.
*/
void arm_radix8_butterfly_f32(
float32_t * pSrc,
uint16_t fftLen,
const float32_t * pCoef,
uint16_t twidCoefModifier)
{
uint32_t ia1, ia2, ia3, ia4, ia5, ia6, ia7;
uint32_t i1, i2, i3, i4, i5, i6, i7, i8;
uint32_t id;
uint32_t n1, n2, j;
float32_t r1, r2, r3, r4, r5, r6, r7, r8;
float32_t t1, t2;
float32_t s1, s2, s3, s4, s5, s6, s7, s8;
float32_t p1, p2, p3, p4;
float32_t co2, co3, co4, co5, co6, co7, co8;
float32_t si2, si3, si4, si5, si6, si7, si8;
const float32_t C81 = 0.70710678118f;
n2 = fftLen;
do
{
n1 = n2;
n2 = n2 >> 3;
i1 = 0;
do
{
i2 = i1 + n2;
i3 = i2 + n2;
i4 = i3 + n2;
i5 = i4 + n2;
i6 = i5 + n2;
i7 = i6 + n2;
i8 = i7 + n2;
r1 = pSrc[2 * i1] + pSrc[2 * i5];
r5 = pSrc[2 * i1] - pSrc[2 * i5];
r2 = pSrc[2 * i2] + pSrc[2 * i6];
r6 = pSrc[2 * i2] - pSrc[2 * i6];
r3 = pSrc[2 * i3] + pSrc[2 * i7];
r7 = pSrc[2 * i3] - pSrc[2 * i7];
r4 = pSrc[2 * i4] + pSrc[2 * i8];
r8 = pSrc[2 * i4] - pSrc[2 * i8];
t1 = r1 - r3;
r1 = r1 + r3;
r3 = r2 - r4;
r2 = r2 + r4;
pSrc[2 * i1] = r1 + r2;
pSrc[2 * i5] = r1 - r2;
r1 = pSrc[2 * i1 + 1] + pSrc[2 * i5 + 1];
s5 = pSrc[2 * i1 + 1] - pSrc[2 * i5 + 1];
r2 = pSrc[2 * i2 + 1] + pSrc[2 * i6 + 1];
s6 = pSrc[2 * i2 + 1] - pSrc[2 * i6 + 1];
s3 = pSrc[2 * i3 + 1] + pSrc[2 * i7 + 1];
s7 = pSrc[2 * i3 + 1] - pSrc[2 * i7 + 1];
r4 = pSrc[2 * i4 + 1] + pSrc[2 * i8 + 1];
s8 = pSrc[2 * i4 + 1] - pSrc[2 * i8 + 1];
t2 = r1 - s3;
r1 = r1 + s3;
s3 = r2 - r4;
r2 = r2 + r4;
pSrc[2 * i1 + 1] = r1 + r2;
pSrc[2 * i5 + 1] = r1 - r2;
pSrc[2 * i3] = t1 + s3;
pSrc[2 * i7] = t1 - s3;
pSrc[2 * i3 + 1] = t2 - r3;
pSrc[2 * i7 + 1] = t2 + r3;
r1 = (r6 - r8) * C81;
r6 = (r6 + r8) * C81;
r2 = (s6 - s8) * C81;
s6 = (s6 + s8) * C81;
t1 = r5 - r1;
r5 = r5 + r1;
r8 = r7 - r6;
r7 = r7 + r6;
t2 = s5 - r2;
s5 = s5 + r2;
s8 = s7 - s6;
s7 = s7 + s6;
pSrc[2 * i2] = r5 + s7;
pSrc[2 * i8] = r5 - s7;
pSrc[2 * i6] = t1 + s8;
pSrc[2 * i4] = t1 - s8;
pSrc[2 * i2 + 1] = s5 - r7;
pSrc[2 * i8 + 1] = s5 + r7;
pSrc[2 * i6 + 1] = t2 - r8;
pSrc[2 * i4 + 1] = t2 + r8;
i1 += n1;
} while(i1 < fftLen);
if(n2 < 8)
break;
ia1 = 0;
j = 1;
do
{
/* index calculation for the coefficients */
id = ia1 + twidCoefModifier;
ia1 = id;
ia2 = ia1 + id;
ia3 = ia2 + id;
ia4 = ia3 + id;
ia5 = ia4 + id;
ia6 = ia5 + id;
ia7 = ia6 + id;
co2 = pCoef[2 * ia1];
co3 = pCoef[2 * ia2];
co4 = pCoef[2 * ia3];
co5 = pCoef[2 * ia4];
co6 = pCoef[2 * ia5];
co7 = pCoef[2 * ia6];
co8 = pCoef[2 * ia7];
si2 = pCoef[2 * ia1 + 1];
si3 = pCoef[2 * ia2 + 1];
si4 = pCoef[2 * ia3 + 1];
si5 = pCoef[2 * ia4 + 1];
si6 = pCoef[2 * ia5 + 1];
si7 = pCoef[2 * ia6 + 1];
si8 = pCoef[2 * ia7 + 1];
i1 = j;
do
{
/* index calculation for the input */
i2 = i1 + n2;
i3 = i2 + n2;
i4 = i3 + n2;
i5 = i4 + n2;
i6 = i5 + n2;
i7 = i6 + n2;
i8 = i7 + n2;
r1 = pSrc[2 * i1] + pSrc[2 * i5];
r5 = pSrc[2 * i1] - pSrc[2 * i5];
r2 = pSrc[2 * i2] + pSrc[2 * i6];
r6 = pSrc[2 * i2] - pSrc[2 * i6];
r3 = pSrc[2 * i3] + pSrc[2 * i7];
r7 = pSrc[2 * i3] - pSrc[2 * i7];
r4 = pSrc[2 * i4] + pSrc[2 * i8];
r8 = pSrc[2 * i4] - pSrc[2 * i8];
t1 = r1 - r3;
r1 = r1 + r3;
r3 = r2 - r4;
r2 = r2 + r4;
pSrc[2 * i1] = r1 + r2;
r2 = r1 - r2;
s1 = pSrc[2 * i1 + 1] + pSrc[2 * i5 + 1];
s5 = pSrc[2 * i1 + 1] - pSrc[2 * i5 + 1];
s2 = pSrc[2 * i2 + 1] + pSrc[2 * i6 + 1];
s6 = pSrc[2 * i2 + 1] - pSrc[2 * i6 + 1];
s3 = pSrc[2 * i3 + 1] + pSrc[2 * i7 + 1];
s7 = pSrc[2 * i3 + 1] - pSrc[2 * i7 + 1];
s4 = pSrc[2 * i4 + 1] + pSrc[2 * i8 + 1];
s8 = pSrc[2 * i4 + 1] - pSrc[2 * i8 + 1];
t2 = s1 - s3;
s1 = s1 + s3;
s3 = s2 - s4;
s2 = s2 + s4;
r1 = t1 + s3;
t1 = t1 - s3;
pSrc[2 * i1 + 1] = s1 + s2;
s2 = s1 - s2;
s1 = t2 - r3;
t2 = t2 + r3;
p1 = co5 * r2;
p2 = si5 * s2;
p3 = co5 * s2;
p4 = si5 * r2;
pSrc[2 * i5] = p1 + p2;
pSrc[2 * i5 + 1] = p3 - p4;
p1 = co3 * r1;
p2 = si3 * s1;
p3 = co3 * s1;
p4 = si3 * r1;
pSrc[2 * i3] = p1 + p2;
pSrc[2 * i3 + 1] = p3 - p4;
p1 = co7 * t1;
p2 = si7 * t2;
p3 = co7 * t2;
p4 = si7 * t1;
pSrc[2 * i7] = p1 + p2;
pSrc[2 * i7 + 1] = p3 - p4;
r1 = (r6 - r8) * C81;
r6 = (r6 + r8) * C81;
s1 = (s6 - s8) * C81;
s6 = (s6 + s8) * C81;
t1 = r5 - r1;
r5 = r5 + r1;
r8 = r7 - r6;
r7 = r7 + r6;
t2 = s5 - s1;
s5 = s5 + s1;
s8 = s7 - s6;
s7 = s7 + s6;
r1 = r5 + s7;
r5 = r5 - s7;
r6 = t1 + s8;
t1 = t1 - s8;
s1 = s5 - r7;
s5 = s5 + r7;
s6 = t2 - r8;
t2 = t2 + r8;
p1 = co2 * r1;
p2 = si2 * s1;
p3 = co2 * s1;
p4 = si2 * r1;
pSrc[2 * i2] = p1 + p2;
pSrc[2 * i2 + 1] = p3 - p4;
p1 = co8 * r5;
p2 = si8 * s5;
p3 = co8 * s5;
p4 = si8 * r5;
pSrc[2 * i8] = p1 + p2;
pSrc[2 * i8 + 1] = p3 - p4;
p1 = co6 * r6;
p2 = si6 * s6;
p3 = co6 * s6;
p4 = si6 * r6;
pSrc[2 * i6] = p1 + p2;
pSrc[2 * i6 + 1] = p3 - p4;
p1 = co4 * t1;
p2 = si4 * t2;
p3 = co4 * t2;
p4 = si4 * t1;
pSrc[2 * i4] = p1 + p2;
pSrc[2 * i4 + 1] = p3 - p4;
i1 += n1;
} while(i1 < fftLen);
j++;
} while(j < n2);
twidCoefModifier <<= 3;
} while(n2 > 7);
}
/**
* @} end of Radix8_CFFT_CIFFT group
*/

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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_dct4_f32.c
*
* Description: Processing function of DCT4 & IDCT4 F32.
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
/**
* @ingroup groupTransforms
*/
/**
* @defgroup DCT4_IDCT4 DCT Type IV Functions
* Representation of signals by minimum number of values is important for storage and transmission.
* The possibility of large discontinuity between the beginning and end of a period of a signal
* in DFT can be avoided by extending the signal so that it is even-symmetric.
* Discrete Cosine Transform (DCT) is constructed such that its energy is heavily concentrated in the lower part of the
* spectrum and is very widely used in signal and image coding applications.
* The family of DCTs (DCT type- 1,2,3,4) is the outcome of different combinations of homogeneous boundary conditions.
* DCT has an excellent energy-packing capability, hence has many applications and in data compression in particular.
*
* DCT is essentially the Discrete Fourier Transform(DFT) of an even-extended real signal.
* Reordering of the input data makes the computation of DCT just a problem of
* computing the DFT of a real signal with a few additional operations.
* This approach provides regular, simple, and very efficient DCT algorithms for practical hardware and software implementations.
*
* DCT type-II can be implemented using Fast fourier transform (FFT) internally, as the transform is applied on real values, Real FFT can be used.
* DCT4 is implemented using DCT2 as their implementations are similar except with some added pre-processing and post-processing.
* DCT2 implementation can be described in the following steps:
* - Re-ordering input
* - Calculating Real FFT
* - Multiplication of weights and Real FFT output and getting real part from the product.
*
* This process is explained by the block diagram below:
* \image html DCT4.gif "Discrete Cosine Transform - type-IV"
*
* \par Algorithm:
* The N-point type-IV DCT is defined as a real, linear transformation by the formula:
* \image html DCT4Equation.gif
* where <code>k = 0,1,2,.....N-1</code>
*\par
* Its inverse is defined as follows:
* \image html IDCT4Equation.gif
* where <code>n = 0,1,2,.....N-1</code>
*\par
* The DCT4 matrices become involutory (i.e. they are self-inverse) by multiplying with an overall scale factor of sqrt(2/N).
* The symmetry of the transform matrix indicates that the fast algorithms for the forward
* and inverse transform computation are identical.
* Note that the implementation of Inverse DCT4 and DCT4 is same, hence same process function can be used for both.
*
* \par Lengths supported by the transform:
* As DCT4 internally uses Real FFT, it supports all the lengths supported by arm_rfft_f32().
* The library provides separate functions for Q15, Q31, and floating-point data types.
* \par Instance Structure
* The instances for Real FFT and FFT, cosine values table and twiddle factor table are stored in an instance data structure.
* A separate instance structure must be defined for each transform.
* There are separate instance structure declarations for each of the 3 supported data types.
*
* \par Initialization Functions
* There is also an associated initialization function for each data type.
* The initialization function performs the following operations:
* - Sets the values of the internal structure fields.
* - Initializes Real FFT as its process function is used internally in DCT4, by calling arm_rfft_init_f32().
* \par
* Use of the initialization function is optional.
* However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
* To place an instance structure into a const data section, the instance structure must be manually initialized.
* Manually initialize the instance structure as follows:
* <pre>
*arm_dct4_instance_f32 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};
*arm_dct4_instance_q31 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};
*arm_dct4_instance_q15 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};
* </pre>
* where \c N is the length of the DCT4; \c Nby2 is half of the length of the DCT4;
* \c normalize is normalizing factor used and is equal to <code>sqrt(2/N)</code>;
* \c pTwiddle points to the twiddle factor table;
* \c pCosFactor points to the cosFactor table;
* \c pRfft points to the real FFT instance;
* \c pCfft points to the complex FFT instance;
* The CFFT and RFFT structures also needs to be initialized, refer to arm_cfft_radix4_f32()
* and arm_rfft_f32() respectively for details regarding static initialization.
*
* \par Fixed-Point Behavior
* Care must be taken when using the fixed-point versions of the DCT4 transform functions.
* In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
* Refer to the function specific documentation below for usage guidelines.
*/
/**
* @addtogroup DCT4_IDCT4
* @{
*/
/**
* @brief Processing function for the floating-point DCT4/IDCT4.
* @param[in] *S points to an instance of the floating-point DCT4/IDCT4 structure.
* @param[in] *pState points to state buffer.
* @param[in,out] *pInlineBuffer points to the in-place input and output buffer.
* @return none.
*/
void arm_dct4_f32(
const arm_dct4_instance_f32 * S,
float32_t * pState,
float32_t * pInlineBuffer)
{
uint32_t i; /* Loop counter */
float32_t *weights = S->pTwiddle; /* Pointer to the Weights table */
float32_t *cosFact = S->pCosFactor; /* Pointer to the cos factors table */
float32_t *pS1, *pS2, *pbuff; /* Temporary pointers for input buffer and pState buffer */
float32_t in; /* Temporary variable */
/* DCT4 computation involves DCT2 (which is calculated using RFFT)
* along with some pre-processing and post-processing.
* Computational procedure is explained as follows:
* (a) Pre-processing involves multiplying input with cos factor,
* r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n))
* where,
* r(n) -- output of preprocessing
* u(n) -- input to preprocessing(actual Source buffer)
* (b) Calculation of DCT2 using FFT is divided into three steps:
* Step1: Re-ordering of even and odd elements of input.
* Step2: Calculating FFT of the re-ordered input.
* Step3: Taking the real part of the product of FFT output and weights.
* (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation:
* Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
* where,
* Y4 -- DCT4 output, Y2 -- DCT2 output
* (d) Multiplying the output with the normalizing factor sqrt(2/N).
*/
/*-------- Pre-processing ------------*/
/* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */
arm_scale_f32(pInlineBuffer, 2.0f, pInlineBuffer, S->N);
arm_mult_f32(pInlineBuffer, cosFact, pInlineBuffer, S->N);
/* ----------------------------------------------------------------
* Step1: Re-ordering of even and odd elements as,
* pState[i] = pInlineBuffer[2*i] and
* pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2
---------------------------------------------------------------------*/
/* pS1 initialized to pState */
pS1 = pState;
/* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */
pS2 = pState + (S->N - 1u);
/* pbuff initialized to input buffer */
pbuff = pInlineBuffer;
#ifndef ARM_MATH_CM0_FAMILY
/* Run the below code for Cortex-M4 and Cortex-M3 */
/* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */
i = (uint32_t) S->Nby2 >> 2u;
/* First part of the processing with loop unrolling. Compute 4 outputs at a time.
** a second loop below computes the remaining 1 to 3 samples. */
do
{
/* Re-ordering of even and odd elements */
/* pState[i] = pInlineBuffer[2*i] */
*pS1++ = *pbuff++;
/* pState[N-i-1] = pInlineBuffer[2*i+1] */
*pS2-- = *pbuff++;
*pS1++ = *pbuff++;
*pS2-- = *pbuff++;
*pS1++ = *pbuff++;
*pS2-- = *pbuff++;
*pS1++ = *pbuff++;
*pS2-- = *pbuff++;
/* Decrement the loop counter */
i--;
} while(i > 0u);
/* pbuff initialized to input buffer */
pbuff = pInlineBuffer;
/* pS1 initialized to pState */
pS1 = pState;
/* Initializing the loop counter to N/4 instead of N for loop unrolling */
i = (uint32_t) S->N >> 2u;
/* Processing with loop unrolling 4 times as N is always multiple of 4.
* Compute 4 outputs at a time */
do
{
/* Writing the re-ordered output back to inplace input buffer */
*pbuff++ = *pS1++;
*pbuff++ = *pS1++;
*pbuff++ = *pS1++;
*pbuff++ = *pS1++;
/* Decrement the loop counter */
i--;
} while(i > 0u);
/* ---------------------------------------------------------
* Step2: Calculate RFFT for N-point input
* ---------------------------------------------------------- */
/* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
arm_rfft_f32(S->pRfft, pInlineBuffer, pState);
/*----------------------------------------------------------------------
* Step3: Multiply the FFT output with the weights.
*----------------------------------------------------------------------*/
arm_cmplx_mult_cmplx_f32(pState, weights, pState, S->N);
/* ----------- Post-processing ---------- */
/* DCT-IV can be obtained from DCT-II by the equation,
* Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
* Hence, Y4(0) = Y2(0)/2 */
/* Getting only real part from the output and Converting to DCT-IV */
/* Initializing the loop counter to N >> 2 for loop unrolling by 4 */
i = ((uint32_t) S->N - 1u) >> 2u;
/* pbuff initialized to input buffer. */
pbuff = pInlineBuffer;
/* pS1 initialized to pState */
pS1 = pState;
/* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
in = *pS1++ * (float32_t) 0.5;
/* input buffer acts as inplace, so output values are stored in the input itself. */
*pbuff++ = in;
/* pState pointer is incremented twice as the real values are located alternatively in the array */
pS1++;
/* First part of the processing with loop unrolling. Compute 4 outputs at a time.
** a second loop below computes the remaining 1 to 3 samples. */
do
{
/* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
/* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
in = *pS1++ - in;
*pbuff++ = in;
/* points to the next real value */
pS1++;
in = *pS1++ - in;
*pbuff++ = in;
pS1++;
in = *pS1++ - in;
*pbuff++ = in;
pS1++;
in = *pS1++ - in;
*pbuff++ = in;
pS1++;
/* Decrement the loop counter */
i--;
} while(i > 0u);
/* If the blockSize is not a multiple of 4, compute any remaining output samples here.
** No loop unrolling is used. */
i = ((uint32_t) S->N - 1u) % 0x4u;
while(i > 0u)
{
/* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
/* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
in = *pS1++ - in;
*pbuff++ = in;
/* points to the next real value */
pS1++;
/* Decrement the loop counter */
i--;
}
/*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
/* Initializing the loop counter to N/4 instead of N for loop unrolling */
i = (uint32_t) S->N >> 2u;
/* pbuff initialized to the pInlineBuffer(now contains the output values) */
pbuff = pInlineBuffer;
/* Processing with loop unrolling 4 times as N is always multiple of 4. Compute 4 outputs at a time */
do
{
/* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
in = *pbuff;
*pbuff++ = in * S->normalize;
in = *pbuff;
*pbuff++ = in * S->normalize;
in = *pbuff;
*pbuff++ = in * S->normalize;
in = *pbuff;
*pbuff++ = in * S->normalize;
/* Decrement the loop counter */
i--;
} while(i > 0u);
#else
/* Run the below code for Cortex-M0 */
/* Initializing the loop counter to N/2 */
i = (uint32_t) S->Nby2;
do
{
/* Re-ordering of even and odd elements */
/* pState[i] = pInlineBuffer[2*i] */
*pS1++ = *pbuff++;
/* pState[N-i-1] = pInlineBuffer[2*i+1] */
*pS2-- = *pbuff++;
/* Decrement the loop counter */
i--;
} while(i > 0u);
/* pbuff initialized to input buffer */
pbuff = pInlineBuffer;
/* pS1 initialized to pState */
pS1 = pState;
/* Initializing the loop counter */
i = (uint32_t) S->N;
do
{
/* Writing the re-ordered output back to inplace input buffer */
*pbuff++ = *pS1++;
/* Decrement the loop counter */
i--;
} while(i > 0u);
/* ---------------------------------------------------------
* Step2: Calculate RFFT for N-point input
* ---------------------------------------------------------- */
/* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
arm_rfft_f32(S->pRfft, pInlineBuffer, pState);
/*----------------------------------------------------------------------
* Step3: Multiply the FFT output with the weights.
*----------------------------------------------------------------------*/
arm_cmplx_mult_cmplx_f32(pState, weights, pState, S->N);
/* ----------- Post-processing ---------- */
/* DCT-IV can be obtained from DCT-II by the equation,
* Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
* Hence, Y4(0) = Y2(0)/2 */
/* Getting only real part from the output and Converting to DCT-IV */
/* pbuff initialized to input buffer. */
pbuff = pInlineBuffer;
/* pS1 initialized to pState */
pS1 = pState;
/* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
in = *pS1++ * (float32_t) 0.5;
/* input buffer acts as inplace, so output values are stored in the input itself. */
*pbuff++ = in;
/* pState pointer is incremented twice as the real values are located alternatively in the array */
pS1++;
/* Initializing the loop counter */
i = ((uint32_t) S->N - 1u);
do
{
/* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
/* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
in = *pS1++ - in;
*pbuff++ = in;
/* points to the next real value */
pS1++;
/* Decrement the loop counter */
i--;
} while(i > 0u);
/*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
/* Initializing the loop counter */
i = (uint32_t) S->N;
/* pbuff initialized to the pInlineBuffer(now contains the output values) */
pbuff = pInlineBuffer;
do
{
/* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
in = *pbuff;
*pbuff++ = in * S->normalize;
/* Decrement the loop counter */
i--;
} while(i > 0u);
#endif /* #ifndef ARM_MATH_CM0_FAMILY */
}
/**
* @} end of DCT4_IDCT4 group
*/

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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_dct4_init_q15.c
*
* Description: Initialization function of DCT-4 & IDCT4 Q15
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
/**
* @ingroup groupTransforms
*/
/**
* @addtogroup DCT4_IDCT4
* @{
*/
/*
* @brief Weights Table
*/
/**
* \par
* Weights tables are generated using the formula : <pre>weights[n] = e^(-j*n*pi/(2*N))</pre>
* \par
* C command to generate the table
* <pre>
* for(i = 0; i< N; i++)
* {
* weights[2*i]= cos(i*c);
* weights[(2*i)+1]= -sin(i * c);
* } </pre>
* \par
* where <code>N</code> is the Number of weights to be calculated and <code>c</code> is <code>pi/(2*N)</code>
* \par
* Converted the output to q15 format by multiplying with 2^31 and saturated if required.
* \par
* In the tables below the real and imaginary values are placed alternatively, hence the
* array length is <code>2*N</code>.
*/
static const q15_t ALIGN4 WeightsQ15_128[256] = {
0x7fff, 0x0, 0x7ffd, 0xfe6e, 0x7ff6, 0xfcdc, 0x7fe9, 0xfb4a,
0x7fd8, 0xf9b9, 0x7fc2, 0xf827, 0x7fa7, 0xf696, 0x7f87, 0xf505,
0x7f62, 0xf375, 0x7f38, 0xf1e5, 0x7f09, 0xf055, 0x7ed5, 0xeec7,
0x7e9d, 0xed38, 0x7e5f, 0xebab, 0x7e1d, 0xea1e, 0x7dd6, 0xe893,
0x7d8a, 0xe708, 0x7d39, 0xe57e, 0x7ce3, 0xe3f5, 0x7c89, 0xe26d,
0x7c29, 0xe0e7, 0x7bc5, 0xdf61, 0x7b5d, 0xdddd, 0x7aef, 0xdc5a,
0x7a7d, 0xdad8, 0x7a05, 0xd958, 0x798a, 0xd7da, 0x7909, 0xd65d,
0x7884, 0xd4e1, 0x77fa, 0xd368, 0x776c, 0xd1ef, 0x76d9, 0xd079,
0x7641, 0xcf05, 0x75a5, 0xcd92, 0x7504, 0xcc22, 0x745f, 0xcab3,
0x73b5, 0xc946, 0x7307, 0xc7dc, 0x7255, 0xc674, 0x719e, 0xc50e,
0x70e2, 0xc3aa, 0x7023, 0xc248, 0x6f5f, 0xc0e9, 0x6e96, 0xbf8d,
0x6dca, 0xbe32, 0x6cf9, 0xbcdb, 0x6c24, 0xbb86, 0x6b4a, 0xba33,
0x6a6d, 0xb8e4, 0x698c, 0xb797, 0x68a6, 0xb64c, 0x67bd, 0xb505,
0x66cf, 0xb3c1, 0x65dd, 0xb27f, 0x64e8, 0xb141, 0x63ef, 0xb005,
0x62f2, 0xaecd, 0x61f1, 0xad97, 0x60ec, 0xac65, 0x5fe3, 0xab36,
0x5ed7, 0xaa0b, 0x5dc7, 0xa8e3, 0x5cb4, 0xa7be, 0x5b9d, 0xa69c,
0x5a82, 0xa57e, 0x5964, 0xa463, 0x5842, 0xa34c, 0x571d, 0xa239,
0x55f5, 0xa129, 0x54ca, 0xa01d, 0x539b, 0x9f14, 0x5269, 0x9e0f,
0x5133, 0x9d0e, 0x4ffb, 0x9c11, 0x4ebf, 0x9b18, 0x4d81, 0x9a23,
0x4c3f, 0x9931, 0x4afb, 0x9843, 0x49b4, 0x975a, 0x4869, 0x9674,
0x471c, 0x9593, 0x45cd, 0x94b6, 0x447a, 0x93dc, 0x4325, 0x9307,
0x41ce, 0x9236, 0x4073, 0x916a, 0x3f17, 0x90a1, 0x3db8, 0x8fdd,
0x3c56, 0x8f1e, 0x3af2, 0x8e62, 0x398c, 0x8dab, 0x3824, 0x8cf9,
0x36ba, 0x8c4b, 0x354d, 0x8ba1, 0x33de, 0x8afc, 0x326e, 0x8a5b,
0x30fb, 0x89bf, 0x2f87, 0x8927, 0x2e11, 0x8894, 0x2c98, 0x8806,
0x2b1f, 0x877c, 0x29a3, 0x86f7, 0x2826, 0x8676, 0x26a8, 0x85fb,
0x2528, 0x8583, 0x23a6, 0x8511, 0x2223, 0x84a3, 0x209f, 0x843b,
0x1f19, 0x83d7, 0x1d93, 0x8377, 0x1c0b, 0x831d, 0x1a82, 0x82c7,
0x18f8, 0x8276, 0x176d, 0x822a, 0x15e2, 0x81e3, 0x1455, 0x81a1,
0x12c8, 0x8163, 0x1139, 0x812b, 0xfab, 0x80f7, 0xe1b, 0x80c8,
0xc8b, 0x809e, 0xafb, 0x8079, 0x96a, 0x8059, 0x7d9, 0x803e,
0x647, 0x8028, 0x4b6, 0x8017, 0x324, 0x800a, 0x192, 0x8003,
};
static const q15_t ALIGN4 WeightsQ15_512[1024] = {
0x7fff, 0x0, 0x7fff, 0xff9c, 0x7fff, 0xff37, 0x7ffe, 0xfed3,
0x7ffd, 0xfe6e, 0x7ffc, 0xfe0a, 0x7ffa, 0xfda5, 0x7ff8, 0xfd41,
0x7ff6, 0xfcdc, 0x7ff3, 0xfc78, 0x7ff0, 0xfc13, 0x7fed, 0xfbaf,
0x7fe9, 0xfb4a, 0x7fe5, 0xfae6, 0x7fe1, 0xfa81, 0x7fdd, 0xfa1d,
0x7fd8, 0xf9b9, 0x7fd3, 0xf954, 0x7fce, 0xf8f0, 0x7fc8, 0xf88b,
0x7fc2, 0xf827, 0x7fbc, 0xf7c3, 0x7fb5, 0xf75e, 0x7fae, 0xf6fa,
0x7fa7, 0xf696, 0x7f9f, 0xf632, 0x7f97, 0xf5cd, 0x7f8f, 0xf569,
0x7f87, 0xf505, 0x7f7e, 0xf4a1, 0x7f75, 0xf43d, 0x7f6b, 0xf3d9,
0x7f62, 0xf375, 0x7f58, 0xf311, 0x7f4d, 0xf2ad, 0x7f43, 0xf249,
0x7f38, 0xf1e5, 0x7f2d, 0xf181, 0x7f21, 0xf11d, 0x7f15, 0xf0b9,
0x7f09, 0xf055, 0x7efd, 0xeff2, 0x7ef0, 0xef8e, 0x7ee3, 0xef2a,
0x7ed5, 0xeec7, 0x7ec8, 0xee63, 0x7eba, 0xedff, 0x7eab, 0xed9c,
0x7e9d, 0xed38, 0x7e8e, 0xecd5, 0x7e7f, 0xec72, 0x7e6f, 0xec0e,
0x7e5f, 0xebab, 0x7e4f, 0xeb48, 0x7e3f, 0xeae5, 0x7e2e, 0xea81,
0x7e1d, 0xea1e, 0x7e0c, 0xe9bb, 0x7dfa, 0xe958, 0x7de8, 0xe8f6,
0x7dd6, 0xe893, 0x7dc3, 0xe830, 0x7db0, 0xe7cd, 0x7d9d, 0xe76a,
0x7d8a, 0xe708, 0x7d76, 0xe6a5, 0x7d62, 0xe643, 0x7d4e, 0xe5e0,
0x7d39, 0xe57e, 0x7d24, 0xe51c, 0x7d0f, 0xe4b9, 0x7cf9, 0xe457,
0x7ce3, 0xe3f5, 0x7ccd, 0xe393, 0x7cb7, 0xe331, 0x7ca0, 0xe2cf,
0x7c89, 0xe26d, 0x7c71, 0xe20b, 0x7c5a, 0xe1aa, 0x7c42, 0xe148,
0x7c29, 0xe0e7, 0x7c11, 0xe085, 0x7bf8, 0xe024, 0x7bdf, 0xdfc2,
0x7bc5, 0xdf61, 0x7bac, 0xdf00, 0x7b92, 0xde9f, 0x7b77, 0xde3e,
0x7b5d, 0xdddd, 0x7b42, 0xdd7c, 0x7b26, 0xdd1b, 0x7b0b, 0xdcbb,
0x7aef, 0xdc5a, 0x7ad3, 0xdbf9, 0x7ab6, 0xdb99, 0x7a9a, 0xdb39,
0x7a7d, 0xdad8, 0x7a5f, 0xda78, 0x7a42, 0xda18, 0x7a24, 0xd9b8,
0x7a05, 0xd958, 0x79e7, 0xd8f9, 0x79c8, 0xd899, 0x79a9, 0xd839,
0x798a, 0xd7da, 0x796a, 0xd77a, 0x794a, 0xd71b, 0x792a, 0xd6bc,
0x7909, 0xd65d, 0x78e8, 0xd5fe, 0x78c7, 0xd59f, 0x78a6, 0xd540,
0x7884, 0xd4e1, 0x7862, 0xd483, 0x7840, 0xd424, 0x781d, 0xd3c6,
0x77fa, 0xd368, 0x77d7, 0xd309, 0x77b4, 0xd2ab, 0x7790, 0xd24d,
0x776c, 0xd1ef, 0x7747, 0xd192, 0x7723, 0xd134, 0x76fe, 0xd0d7,
0x76d9, 0xd079, 0x76b3, 0xd01c, 0x768e, 0xcfbf, 0x7668, 0xcf62,
0x7641, 0xcf05, 0x761b, 0xcea8, 0x75f4, 0xce4b, 0x75cc, 0xcdef,
0x75a5, 0xcd92, 0x757d, 0xcd36, 0x7555, 0xccda, 0x752d, 0xcc7e,
0x7504, 0xcc22, 0x74db, 0xcbc6, 0x74b2, 0xcb6a, 0x7489, 0xcb0e,
0x745f, 0xcab3, 0x7435, 0xca58, 0x740b, 0xc9fc, 0x73e0, 0xc9a1,
0x73b5, 0xc946, 0x738a, 0xc8ec, 0x735f, 0xc891, 0x7333, 0xc836,
0x7307, 0xc7dc, 0x72db, 0xc782, 0x72af, 0xc728, 0x7282, 0xc6ce,
0x7255, 0xc674, 0x7227, 0xc61a, 0x71fa, 0xc5c0, 0x71cc, 0xc567,
0x719e, 0xc50e, 0x716f, 0xc4b4, 0x7141, 0xc45b, 0x7112, 0xc403,
0x70e2, 0xc3aa, 0x70b3, 0xc351, 0x7083, 0xc2f9, 0x7053, 0xc2a0,
0x7023, 0xc248, 0x6ff2, 0xc1f0, 0x6fc1, 0xc198, 0x6f90, 0xc141,
0x6f5f, 0xc0e9, 0x6f2d, 0xc092, 0x6efb, 0xc03b, 0x6ec9, 0xbfe3,
0x6e96, 0xbf8d, 0x6e63, 0xbf36, 0x6e30, 0xbedf, 0x6dfd, 0xbe89,
0x6dca, 0xbe32, 0x6d96, 0xbddc, 0x6d62, 0xbd86, 0x6d2d, 0xbd30,
0x6cf9, 0xbcdb, 0x6cc4, 0xbc85, 0x6c8f, 0xbc30, 0x6c59, 0xbbdb,
0x6c24, 0xbb86, 0x6bee, 0xbb31, 0x6bb8, 0xbadc, 0x6b81, 0xba88,
0x6b4a, 0xba33, 0x6b13, 0xb9df, 0x6adc, 0xb98b, 0x6aa5, 0xb937,
0x6a6d, 0xb8e4, 0x6a35, 0xb890, 0x69fd, 0xb83d, 0x69c4, 0xb7ea,
0x698c, 0xb797, 0x6953, 0xb744, 0x6919, 0xb6f1, 0x68e0, 0xb69f,
0x68a6, 0xb64c, 0x686c, 0xb5fa, 0x6832, 0xb5a8, 0x67f7, 0xb557,
0x67bd, 0xb505, 0x6782, 0xb4b4, 0x6746, 0xb462, 0x670b, 0xb411,
0x66cf, 0xb3c1, 0x6693, 0xb370, 0x6657, 0xb31f, 0x661a, 0xb2cf,
0x65dd, 0xb27f, 0x65a0, 0xb22f, 0x6563, 0xb1df, 0x6526, 0xb190,
0x64e8, 0xb141, 0x64aa, 0xb0f1, 0x646c, 0xb0a2, 0x642d, 0xb054,
0x63ef, 0xb005, 0x63b0, 0xafb7, 0x6371, 0xaf69, 0x6331, 0xaf1b,
0x62f2, 0xaecd, 0x62b2, 0xae7f, 0x6271, 0xae32, 0x6231, 0xade4,
0x61f1, 0xad97, 0x61b0, 0xad4b, 0x616f, 0xacfe, 0x612d, 0xacb2,
0x60ec, 0xac65, 0x60aa, 0xac19, 0x6068, 0xabcd, 0x6026, 0xab82,
0x5fe3, 0xab36, 0x5fa0, 0xaaeb, 0x5f5e, 0xaaa0, 0x5f1a, 0xaa55,
0x5ed7, 0xaa0b, 0x5e93, 0xa9c0, 0x5e50, 0xa976, 0x5e0b, 0xa92c,
0x5dc7, 0xa8e3, 0x5d83, 0xa899, 0x5d3e, 0xa850, 0x5cf9, 0xa807,
0x5cb4, 0xa7be, 0x5c6e, 0xa775, 0x5c29, 0xa72c, 0x5be3, 0xa6e4,
0x5b9d, 0xa69c, 0x5b56, 0xa654, 0x5b10, 0xa60d, 0x5ac9, 0xa5c5,
0x5a82, 0xa57e, 0x5a3b, 0xa537, 0x59f3, 0xa4f0, 0x59ac, 0xa4aa,
0x5964, 0xa463, 0x591c, 0xa41d, 0x58d4, 0xa3d7, 0x588b, 0xa392,
0x5842, 0xa34c, 0x57f9, 0xa307, 0x57b0, 0xa2c2, 0x5767, 0xa27d,
0x571d, 0xa239, 0x56d4, 0xa1f5, 0x568a, 0xa1b0, 0x5640, 0xa16d,
0x55f5, 0xa129, 0x55ab, 0xa0e6, 0x5560, 0xa0a2, 0x5515, 0xa060,
0x54ca, 0xa01d, 0x547e, 0x9fda, 0x5433, 0x9f98, 0x53e7, 0x9f56,
0x539b, 0x9f14, 0x534e, 0x9ed3, 0x5302, 0x9e91, 0x52b5, 0x9e50,
0x5269, 0x9e0f, 0x521c, 0x9dcf, 0x51ce, 0x9d8f, 0x5181, 0x9d4e,
0x5133, 0x9d0e, 0x50e5, 0x9ccf, 0x5097, 0x9c8f, 0x5049, 0x9c50,
0x4ffb, 0x9c11, 0x4fac, 0x9bd3, 0x4f5e, 0x9b94, 0x4f0f, 0x9b56,
0x4ebf, 0x9b18, 0x4e70, 0x9ada, 0x4e21, 0x9a9d, 0x4dd1, 0x9a60,
0x4d81, 0x9a23, 0x4d31, 0x99e6, 0x4ce1, 0x99a9, 0x4c90, 0x996d,
0x4c3f, 0x9931, 0x4bef, 0x98f5, 0x4b9e, 0x98ba, 0x4b4c, 0x987e,
0x4afb, 0x9843, 0x4aa9, 0x9809, 0x4a58, 0x97ce, 0x4a06, 0x9794,
0x49b4, 0x975a, 0x4961, 0x9720, 0x490f, 0x96e7, 0x48bc, 0x96ad,
0x4869, 0x9674, 0x4816, 0x963c, 0x47c3, 0x9603, 0x4770, 0x95cb,
0x471c, 0x9593, 0x46c9, 0x955b, 0x4675, 0x9524, 0x4621, 0x94ed,
0x45cd, 0x94b6, 0x4578, 0x947f, 0x4524, 0x9448, 0x44cf, 0x9412,
0x447a, 0x93dc, 0x4425, 0x93a7, 0x43d0, 0x9371, 0x437b, 0x933c,
0x4325, 0x9307, 0x42d0, 0x92d3, 0x427a, 0x929e, 0x4224, 0x926a,
0x41ce, 0x9236, 0x4177, 0x9203, 0x4121, 0x91d0, 0x40ca, 0x919d,
0x4073, 0x916a, 0x401d, 0x9137, 0x3fc5, 0x9105, 0x3f6e, 0x90d3,
0x3f17, 0x90a1, 0x3ebf, 0x9070, 0x3e68, 0x903f, 0x3e10, 0x900e,
0x3db8, 0x8fdd, 0x3d60, 0x8fad, 0x3d07, 0x8f7d, 0x3caf, 0x8f4d,
0x3c56, 0x8f1e, 0x3bfd, 0x8eee, 0x3ba5, 0x8ebf, 0x3b4c, 0x8e91,
0x3af2, 0x8e62, 0x3a99, 0x8e34, 0x3a40, 0x8e06, 0x39e6, 0x8dd9,
0x398c, 0x8dab, 0x3932, 0x8d7e, 0x38d8, 0x8d51, 0x387e, 0x8d25,
0x3824, 0x8cf9, 0x37ca, 0x8ccd, 0x376f, 0x8ca1, 0x3714, 0x8c76,
0x36ba, 0x8c4b, 0x365f, 0x8c20, 0x3604, 0x8bf5, 0x35a8, 0x8bcb,
0x354d, 0x8ba1, 0x34f2, 0x8b77, 0x3496, 0x8b4e, 0x343a, 0x8b25,
0x33de, 0x8afc, 0x3382, 0x8ad3, 0x3326, 0x8aab, 0x32ca, 0x8a83,
0x326e, 0x8a5b, 0x3211, 0x8a34, 0x31b5, 0x8a0c, 0x3158, 0x89e5,
0x30fb, 0x89bf, 0x309e, 0x8998, 0x3041, 0x8972, 0x2fe4, 0x894d,
0x2f87, 0x8927, 0x2f29, 0x8902, 0x2ecc, 0x88dd, 0x2e6e, 0x88b9,
0x2e11, 0x8894, 0x2db3, 0x8870, 0x2d55, 0x884c, 0x2cf7, 0x8829,
0x2c98, 0x8806, 0x2c3a, 0x87e3, 0x2bdc, 0x87c0, 0x2b7d, 0x879e,
0x2b1f, 0x877c, 0x2ac0, 0x875a, 0x2a61, 0x8739, 0x2a02, 0x8718,
0x29a3, 0x86f7, 0x2944, 0x86d6, 0x28e5, 0x86b6, 0x2886, 0x8696,
0x2826, 0x8676, 0x27c7, 0x8657, 0x2767, 0x8638, 0x2707, 0x8619,
0x26a8, 0x85fb, 0x2648, 0x85dc, 0x25e8, 0x85be, 0x2588, 0x85a1,
0x2528, 0x8583, 0x24c7, 0x8566, 0x2467, 0x854a, 0x2407, 0x852d,
0x23a6, 0x8511, 0x2345, 0x84f5, 0x22e5, 0x84da, 0x2284, 0x84be,
0x2223, 0x84a3, 0x21c2, 0x8489, 0x2161, 0x846e, 0x2100, 0x8454,
0x209f, 0x843b, 0x203e, 0x8421, 0x1fdc, 0x8408, 0x1f7b, 0x83ef,
0x1f19, 0x83d7, 0x1eb8, 0x83be, 0x1e56, 0x83a6, 0x1df5, 0x838f,
0x1d93, 0x8377, 0x1d31, 0x8360, 0x1ccf, 0x8349, 0x1c6d, 0x8333,
0x1c0b, 0x831d, 0x1ba9, 0x8307, 0x1b47, 0x82f1, 0x1ae4, 0x82dc,
0x1a82, 0x82c7, 0x1a20, 0x82b2, 0x19bd, 0x829e, 0x195b, 0x828a,
0x18f8, 0x8276, 0x1896, 0x8263, 0x1833, 0x8250, 0x17d0, 0x823d,
0x176d, 0x822a, 0x170a, 0x8218, 0x16a8, 0x8206, 0x1645, 0x81f4,
0x15e2, 0x81e3, 0x157f, 0x81d2, 0x151b, 0x81c1, 0x14b8, 0x81b1,
0x1455, 0x81a1, 0x13f2, 0x8191, 0x138e, 0x8181, 0x132b, 0x8172,
0x12c8, 0x8163, 0x1264, 0x8155, 0x1201, 0x8146, 0x119d, 0x8138,
0x1139, 0x812b, 0x10d6, 0x811d, 0x1072, 0x8110, 0x100e, 0x8103,
0xfab, 0x80f7, 0xf47, 0x80eb, 0xee3, 0x80df, 0xe7f, 0x80d3,
0xe1b, 0x80c8, 0xdb7, 0x80bd, 0xd53, 0x80b3, 0xcef, 0x80a8,
0xc8b, 0x809e, 0xc27, 0x8095, 0xbc3, 0x808b, 0xb5f, 0x8082,
0xafb, 0x8079, 0xa97, 0x8071, 0xa33, 0x8069, 0x9ce, 0x8061,
0x96a, 0x8059, 0x906, 0x8052, 0x8a2, 0x804b, 0x83d, 0x8044,
0x7d9, 0x803e, 0x775, 0x8038, 0x710, 0x8032, 0x6ac, 0x802d,
0x647, 0x8028, 0x5e3, 0x8023, 0x57f, 0x801f, 0x51a, 0x801b,
0x4b6, 0x8017, 0x451, 0x8013, 0x3ed, 0x8010, 0x388, 0x800d,
0x324, 0x800a, 0x2bf, 0x8008, 0x25b, 0x8006, 0x1f6, 0x8004,
0x192, 0x8003, 0x12d, 0x8002, 0xc9, 0x8001, 0x64, 0x8001,
};
static const q15_t ALIGN4 WeightsQ15_2048[4096] = {
0x7fff, 0x0, 0x7fff, 0xffe7, 0x7fff, 0xffce, 0x7fff, 0xffb5,
0x7fff, 0xff9c, 0x7fff, 0xff83, 0x7fff, 0xff6a, 0x7fff, 0xff51,
0x7fff, 0xff37, 0x7fff, 0xff1e, 0x7fff, 0xff05, 0x7ffe, 0xfeec,
0x7ffe, 0xfed3, 0x7ffe, 0xfeba, 0x7ffe, 0xfea1, 0x7ffd, 0xfe88,
0x7ffd, 0xfe6e, 0x7ffd, 0xfe55, 0x7ffc, 0xfe3c, 0x7ffc, 0xfe23,
0x7ffc, 0xfe0a, 0x7ffb, 0xfdf1, 0x7ffb, 0xfdd8, 0x7ffa, 0xfdbe,
0x7ffa, 0xfda5, 0x7ff9, 0xfd8c, 0x7ff9, 0xfd73, 0x7ff8, 0xfd5a,
0x7ff8, 0xfd41, 0x7ff7, 0xfd28, 0x7ff7, 0xfd0f, 0x7ff6, 0xfcf5,
0x7ff6, 0xfcdc, 0x7ff5, 0xfcc3, 0x7ff4, 0xfcaa, 0x7ff4, 0xfc91,
0x7ff3, 0xfc78, 0x7ff2, 0xfc5f, 0x7ff2, 0xfc46, 0x7ff1, 0xfc2c,
0x7ff0, 0xfc13, 0x7fef, 0xfbfa, 0x7fee, 0xfbe1, 0x7fee, 0xfbc8,
0x7fed, 0xfbaf, 0x7fec, 0xfb96, 0x7feb, 0xfb7d, 0x7fea, 0xfb64,
0x7fe9, 0xfb4a, 0x7fe8, 0xfb31, 0x7fe7, 0xfb18, 0x7fe6, 0xfaff,
0x7fe5, 0xfae6, 0x7fe4, 0xfacd, 0x7fe3, 0xfab4, 0x7fe2, 0xfa9b,
0x7fe1, 0xfa81, 0x7fe0, 0xfa68, 0x7fdf, 0xfa4f, 0x7fde, 0xfa36,
0x7fdd, 0xfa1d, 0x7fdc, 0xfa04, 0x7fda, 0xf9eb, 0x7fd9, 0xf9d2,
0x7fd8, 0xf9b9, 0x7fd7, 0xf9a0, 0x7fd6, 0xf986, 0x7fd4, 0xf96d,
0x7fd3, 0xf954, 0x7fd2, 0xf93b, 0x7fd0, 0xf922, 0x7fcf, 0xf909,
0x7fce, 0xf8f0, 0x7fcc, 0xf8d7, 0x7fcb, 0xf8be, 0x7fc9, 0xf8a5,
0x7fc8, 0xf88b, 0x7fc6, 0xf872, 0x7fc5, 0xf859, 0x7fc3, 0xf840,
0x7fc2, 0xf827, 0x7fc0, 0xf80e, 0x7fbf, 0xf7f5, 0x7fbd, 0xf7dc,
0x7fbc, 0xf7c3, 0x7fba, 0xf7aa, 0x7fb8, 0xf791, 0x7fb7, 0xf778,
0x7fb5, 0xf75e, 0x7fb3, 0xf745, 0x7fb1, 0xf72c, 0x7fb0, 0xf713,
0x7fae, 0xf6fa, 0x7fac, 0xf6e1, 0x7faa, 0xf6c8, 0x7fa9, 0xf6af,
0x7fa7, 0xf696, 0x7fa5, 0xf67d, 0x7fa3, 0xf664, 0x7fa1, 0xf64b,
0x7f9f, 0xf632, 0x7f9d, 0xf619, 0x7f9b, 0xf600, 0x7f99, 0xf5e7,
0x7f97, 0xf5cd, 0x7f95, 0xf5b4, 0x7f93, 0xf59b, 0x7f91, 0xf582,
0x7f8f, 0xf569, 0x7f8d, 0xf550, 0x7f8b, 0xf537, 0x7f89, 0xf51e,
0x7f87, 0xf505, 0x7f85, 0xf4ec, 0x7f82, 0xf4d3, 0x7f80, 0xf4ba,
0x7f7e, 0xf4a1, 0x7f7c, 0xf488, 0x7f79, 0xf46f, 0x7f77, 0xf456,
0x7f75, 0xf43d, 0x7f72, 0xf424, 0x7f70, 0xf40b, 0x7f6e, 0xf3f2,
0x7f6b, 0xf3d9, 0x7f69, 0xf3c0, 0x7f67, 0xf3a7, 0x7f64, 0xf38e,
0x7f62, 0xf375, 0x7f5f, 0xf35c, 0x7f5d, 0xf343, 0x7f5a, 0xf32a,
0x7f58, 0xf311, 0x7f55, 0xf2f8, 0x7f53, 0xf2df, 0x7f50, 0xf2c6,
0x7f4d, 0xf2ad, 0x7f4b, 0xf294, 0x7f48, 0xf27b, 0x7f45, 0xf262,
0x7f43, 0xf249, 0x7f40, 0xf230, 0x7f3d, 0xf217, 0x7f3b, 0xf1fe,
0x7f38, 0xf1e5, 0x7f35, 0xf1cc, 0x7f32, 0xf1b3, 0x7f2f, 0xf19a,
0x7f2d, 0xf181, 0x7f2a, 0xf168, 0x7f27, 0xf14f, 0x7f24, 0xf136,
0x7f21, 0xf11d, 0x7f1e, 0xf104, 0x7f1b, 0xf0eb, 0x7f18, 0xf0d2,
0x7f15, 0xf0b9, 0x7f12, 0xf0a0, 0x7f0f, 0xf087, 0x7f0c, 0xf06e,
0x7f09, 0xf055, 0x7f06, 0xf03c, 0x7f03, 0xf023, 0x7f00, 0xf00b,
0x7efd, 0xeff2, 0x7ef9, 0xefd9, 0x7ef6, 0xefc0, 0x7ef3, 0xefa7,
0x7ef0, 0xef8e, 0x7eed, 0xef75, 0x7ee9, 0xef5c, 0x7ee6, 0xef43,
0x7ee3, 0xef2a, 0x7edf, 0xef11, 0x7edc, 0xeef8, 0x7ed9, 0xeedf,
0x7ed5, 0xeec7, 0x7ed2, 0xeeae, 0x7ecf, 0xee95, 0x7ecb, 0xee7c,
0x7ec8, 0xee63, 0x7ec4, 0xee4a, 0x7ec1, 0xee31, 0x7ebd, 0xee18,
0x7eba, 0xedff, 0x7eb6, 0xede7, 0x7eb3, 0xedce, 0x7eaf, 0xedb5,
0x7eab, 0xed9c, 0x7ea8, 0xed83, 0x7ea4, 0xed6a, 0x7ea1, 0xed51,
0x7e9d, 0xed38, 0x7e99, 0xed20, 0x7e95, 0xed07, 0x7e92, 0xecee,
0x7e8e, 0xecd5, 0x7e8a, 0xecbc, 0x7e86, 0xeca3, 0x7e83, 0xec8a,
0x7e7f, 0xec72, 0x7e7b, 0xec59, 0x7e77, 0xec40, 0x7e73, 0xec27,
0x7e6f, 0xec0e, 0x7e6b, 0xebf5, 0x7e67, 0xebdd, 0x7e63, 0xebc4,
0x7e5f, 0xebab, 0x7e5b, 0xeb92, 0x7e57, 0xeb79, 0x7e53, 0xeb61,
0x7e4f, 0xeb48, 0x7e4b, 0xeb2f, 0x7e47, 0xeb16, 0x7e43, 0xeafd,
0x7e3f, 0xeae5, 0x7e3b, 0xeacc, 0x7e37, 0xeab3, 0x7e32, 0xea9a,
0x7e2e, 0xea81, 0x7e2a, 0xea69, 0x7e26, 0xea50, 0x7e21, 0xea37,
0x7e1d, 0xea1e, 0x7e19, 0xea06, 0x7e14, 0xe9ed, 0x7e10, 0xe9d4,
0x7e0c, 0xe9bb, 0x7e07, 0xe9a3, 0x7e03, 0xe98a, 0x7dff, 0xe971,
0x7dfa, 0xe958, 0x7df6, 0xe940, 0x7df1, 0xe927, 0x7ded, 0xe90e,
0x7de8, 0xe8f6, 0x7de4, 0xe8dd, 0x7ddf, 0xe8c4, 0x7dda, 0xe8ab,
0x7dd6, 0xe893, 0x7dd1, 0xe87a, 0x7dcd, 0xe861, 0x7dc8, 0xe849,
0x7dc3, 0xe830, 0x7dbf, 0xe817, 0x7dba, 0xe7fe, 0x7db5, 0xe7e6,
0x7db0, 0xe7cd, 0x7dac, 0xe7b4, 0x7da7, 0xe79c, 0x7da2, 0xe783,
0x7d9d, 0xe76a, 0x7d98, 0xe752, 0x7d94, 0xe739, 0x7d8f, 0xe720,
0x7d8a, 0xe708, 0x7d85, 0xe6ef, 0x7d80, 0xe6d6, 0x7d7b, 0xe6be,
0x7d76, 0xe6a5, 0x7d71, 0xe68d, 0x7d6c, 0xe674, 0x7d67, 0xe65b,
0x7d62, 0xe643, 0x7d5d, 0xe62a, 0x7d58, 0xe611, 0x7d53, 0xe5f9,
0x7d4e, 0xe5e0, 0x7d49, 0xe5c8, 0x7d43, 0xe5af, 0x7d3e, 0xe596,
0x7d39, 0xe57e, 0x7d34, 0xe565, 0x7d2f, 0xe54d, 0x7d29, 0xe534,
0x7d24, 0xe51c, 0x7d1f, 0xe503, 0x7d19, 0xe4ea, 0x7d14, 0xe4d2,
0x7d0f, 0xe4b9, 0x7d09, 0xe4a1, 0x7d04, 0xe488, 0x7cff, 0xe470,
0x7cf9, 0xe457, 0x7cf4, 0xe43f, 0x7cee, 0xe426, 0x7ce9, 0xe40e,
0x7ce3, 0xe3f5, 0x7cde, 0xe3dc, 0x7cd8, 0xe3c4, 0x7cd3, 0xe3ab,
0x7ccd, 0xe393, 0x7cc8, 0xe37a, 0x7cc2, 0xe362, 0x7cbc, 0xe349,
0x7cb7, 0xe331, 0x7cb1, 0xe318, 0x7cab, 0xe300, 0x7ca6, 0xe2e8,
0x7ca0, 0xe2cf, 0x7c9a, 0xe2b7, 0x7c94, 0xe29e, 0x7c8f, 0xe286,
0x7c89, 0xe26d, 0x7c83, 0xe255, 0x7c7d, 0xe23c, 0x7c77, 0xe224,
0x7c71, 0xe20b, 0x7c6c, 0xe1f3, 0x7c66, 0xe1db, 0x7c60, 0xe1c2,
0x7c5a, 0xe1aa, 0x7c54, 0xe191, 0x7c4e, 0xe179, 0x7c48, 0xe160,
0x7c42, 0xe148, 0x7c3c, 0xe130, 0x7c36, 0xe117, 0x7c30, 0xe0ff,
0x7c29, 0xe0e7, 0x7c23, 0xe0ce, 0x7c1d, 0xe0b6, 0x7c17, 0xe09d,
0x7c11, 0xe085, 0x7c0b, 0xe06d, 0x7c05, 0xe054, 0x7bfe, 0xe03c,
0x7bf8, 0xe024, 0x7bf2, 0xe00b, 0x7beb, 0xdff3, 0x7be5, 0xdfdb,
0x7bdf, 0xdfc2, 0x7bd9, 0xdfaa, 0x7bd2, 0xdf92, 0x7bcc, 0xdf79,
0x7bc5, 0xdf61, 0x7bbf, 0xdf49, 0x7bb9, 0xdf30, 0x7bb2, 0xdf18,
0x7bac, 0xdf00, 0x7ba5, 0xdee8, 0x7b9f, 0xdecf, 0x7b98, 0xdeb7,
0x7b92, 0xde9f, 0x7b8b, 0xde87, 0x7b84, 0xde6e, 0x7b7e, 0xde56,
0x7b77, 0xde3e, 0x7b71, 0xde26, 0x7b6a, 0xde0d, 0x7b63, 0xddf5,
0x7b5d, 0xdddd, 0x7b56, 0xddc5, 0x7b4f, 0xddac, 0x7b48, 0xdd94,
0x7b42, 0xdd7c, 0x7b3b, 0xdd64, 0x7b34, 0xdd4c, 0x7b2d, 0xdd33,
0x7b26, 0xdd1b, 0x7b1f, 0xdd03, 0x7b19, 0xdceb, 0x7b12, 0xdcd3,
0x7b0b, 0xdcbb, 0x7b04, 0xdca2, 0x7afd, 0xdc8a, 0x7af6, 0xdc72,
0x7aef, 0xdc5a, 0x7ae8, 0xdc42, 0x7ae1, 0xdc2a, 0x7ada, 0xdc12,
0x7ad3, 0xdbf9, 0x7acc, 0xdbe1, 0x7ac5, 0xdbc9, 0x7abd, 0xdbb1,
0x7ab6, 0xdb99, 0x7aaf, 0xdb81, 0x7aa8, 0xdb69, 0x7aa1, 0xdb51,
0x7a9a, 0xdb39, 0x7a92, 0xdb21, 0x7a8b, 0xdb09, 0x7a84, 0xdaf1,
0x7a7d, 0xdad8, 0x7a75, 0xdac0, 0x7a6e, 0xdaa8, 0x7a67, 0xda90,
0x7a5f, 0xda78, 0x7a58, 0xda60, 0x7a50, 0xda48, 0x7a49, 0xda30,
0x7a42, 0xda18, 0x7a3a, 0xda00, 0x7a33, 0xd9e8, 0x7a2b, 0xd9d0,
0x7a24, 0xd9b8, 0x7a1c, 0xd9a0, 0x7a15, 0xd988, 0x7a0d, 0xd970,
0x7a05, 0xd958, 0x79fe, 0xd940, 0x79f6, 0xd928, 0x79ef, 0xd911,
0x79e7, 0xd8f9, 0x79df, 0xd8e1, 0x79d8, 0xd8c9, 0x79d0, 0xd8b1,
0x79c8, 0xd899, 0x79c0, 0xd881, 0x79b9, 0xd869, 0x79b1, 0xd851,
0x79a9, 0xd839, 0x79a1, 0xd821, 0x7999, 0xd80a, 0x7992, 0xd7f2,
0x798a, 0xd7da, 0x7982, 0xd7c2, 0x797a, 0xd7aa, 0x7972, 0xd792,
0x796a, 0xd77a, 0x7962, 0xd763, 0x795a, 0xd74b, 0x7952, 0xd733,
0x794a, 0xd71b, 0x7942, 0xd703, 0x793a, 0xd6eb, 0x7932, 0xd6d4,
0x792a, 0xd6bc, 0x7922, 0xd6a4, 0x7919, 0xd68c, 0x7911, 0xd675,
0x7909, 0xd65d, 0x7901, 0xd645, 0x78f9, 0xd62d, 0x78f1, 0xd615,
0x78e8, 0xd5fe, 0x78e0, 0xd5e6, 0x78d8, 0xd5ce, 0x78cf, 0xd5b7,
0x78c7, 0xd59f, 0x78bf, 0xd587, 0x78b6, 0xd56f, 0x78ae, 0xd558,
0x78a6, 0xd540, 0x789d, 0xd528, 0x7895, 0xd511, 0x788c, 0xd4f9,
0x7884, 0xd4e1, 0x787c, 0xd4ca, 0x7873, 0xd4b2, 0x786b, 0xd49a,
0x7862, 0xd483, 0x7859, 0xd46b, 0x7851, 0xd453, 0x7848, 0xd43c,
0x7840, 0xd424, 0x7837, 0xd40d, 0x782e, 0xd3f5, 0x7826, 0xd3dd,
0x781d, 0xd3c6, 0x7814, 0xd3ae, 0x780c, 0xd397, 0x7803, 0xd37f,
0x77fa, 0xd368, 0x77f1, 0xd350, 0x77e9, 0xd338, 0x77e0, 0xd321,
0x77d7, 0xd309, 0x77ce, 0xd2f2, 0x77c5, 0xd2da, 0x77bc, 0xd2c3,
0x77b4, 0xd2ab, 0x77ab, 0xd294, 0x77a2, 0xd27c, 0x7799, 0xd265,
0x7790, 0xd24d, 0x7787, 0xd236, 0x777e, 0xd21e, 0x7775, 0xd207,
0x776c, 0xd1ef, 0x7763, 0xd1d8, 0x775a, 0xd1c1, 0x7751, 0xd1a9,
0x7747, 0xd192, 0x773e, 0xd17a, 0x7735, 0xd163, 0x772c, 0xd14b,
0x7723, 0xd134, 0x771a, 0xd11d, 0x7710, 0xd105, 0x7707, 0xd0ee,
0x76fe, 0xd0d7, 0x76f5, 0xd0bf, 0x76eb, 0xd0a8, 0x76e2, 0xd091,
0x76d9, 0xd079, 0x76cf, 0xd062, 0x76c6, 0xd04b, 0x76bd, 0xd033,
0x76b3, 0xd01c, 0x76aa, 0xd005, 0x76a0, 0xcfed, 0x7697, 0xcfd6,
0x768e, 0xcfbf, 0x7684, 0xcfa7, 0x767b, 0xcf90, 0x7671, 0xcf79,
0x7668, 0xcf62, 0x765e, 0xcf4a, 0x7654, 0xcf33, 0x764b, 0xcf1c,
0x7641, 0xcf05, 0x7638, 0xceee, 0x762e, 0xced6, 0x7624, 0xcebf,
0x761b, 0xcea8, 0x7611, 0xce91, 0x7607, 0xce7a, 0x75fd, 0xce62,
0x75f4, 0xce4b, 0x75ea, 0xce34, 0x75e0, 0xce1d, 0x75d6, 0xce06,
0x75cc, 0xcdef, 0x75c3, 0xcdd8, 0x75b9, 0xcdc0, 0x75af, 0xcda9,
0x75a5, 0xcd92, 0x759b, 0xcd7b, 0x7591, 0xcd64, 0x7587, 0xcd4d,
0x757d, 0xcd36, 0x7573, 0xcd1f, 0x7569, 0xcd08, 0x755f, 0xccf1,
0x7555, 0xccda, 0x754b, 0xccc3, 0x7541, 0xccac, 0x7537, 0xcc95,
0x752d, 0xcc7e, 0x7523, 0xcc67, 0x7519, 0xcc50, 0x750f, 0xcc39,
0x7504, 0xcc22, 0x74fa, 0xcc0b, 0x74f0, 0xcbf4, 0x74e6, 0xcbdd,
0x74db, 0xcbc6, 0x74d1, 0xcbaf, 0x74c7, 0xcb98, 0x74bd, 0xcb81,
0x74b2, 0xcb6a, 0x74a8, 0xcb53, 0x749e, 0xcb3c, 0x7493, 0xcb25,
0x7489, 0xcb0e, 0x747e, 0xcaf8, 0x7474, 0xcae1, 0x746a, 0xcaca,
0x745f, 0xcab3, 0x7455, 0xca9c, 0x744a, 0xca85, 0x7440, 0xca6e,
0x7435, 0xca58, 0x742b, 0xca41, 0x7420, 0xca2a, 0x7415, 0xca13,
0x740b, 0xc9fc, 0x7400, 0xc9e6, 0x73f6, 0xc9cf, 0x73eb, 0xc9b8,
0x73e0, 0xc9a1, 0x73d6, 0xc98b, 0x73cb, 0xc974, 0x73c0, 0xc95d,
0x73b5, 0xc946, 0x73ab, 0xc930, 0x73a0, 0xc919, 0x7395, 0xc902,
0x738a, 0xc8ec, 0x737f, 0xc8d5, 0x7375, 0xc8be, 0x736a, 0xc8a8,
0x735f, 0xc891, 0x7354, 0xc87a, 0x7349, 0xc864, 0x733e, 0xc84d,
0x7333, 0xc836, 0x7328, 0xc820, 0x731d, 0xc809, 0x7312, 0xc7f3,
0x7307, 0xc7dc, 0x72fc, 0xc7c5, 0x72f1, 0xc7af, 0x72e6, 0xc798,
0x72db, 0xc782, 0x72d0, 0xc76b, 0x72c5, 0xc755, 0x72ba, 0xc73e,
0x72af, 0xc728, 0x72a3, 0xc711, 0x7298, 0xc6fa, 0x728d, 0xc6e4,
0x7282, 0xc6ce, 0x7276, 0xc6b7, 0x726b, 0xc6a1, 0x7260, 0xc68a,
0x7255, 0xc674, 0x7249, 0xc65d, 0x723e, 0xc647, 0x7233, 0xc630,
0x7227, 0xc61a, 0x721c, 0xc603, 0x7211, 0xc5ed, 0x7205, 0xc5d7,
0x71fa, 0xc5c0, 0x71ee, 0xc5aa, 0x71e3, 0xc594, 0x71d7, 0xc57d,
0x71cc, 0xc567, 0x71c0, 0xc551, 0x71b5, 0xc53a, 0x71a9, 0xc524,
0x719e, 0xc50e, 0x7192, 0xc4f7, 0x7186, 0xc4e1, 0x717b, 0xc4cb,
0x716f, 0xc4b4, 0x7164, 0xc49e, 0x7158, 0xc488, 0x714c, 0xc472,
0x7141, 0xc45b, 0x7135, 0xc445, 0x7129, 0xc42f, 0x711d, 0xc419,
0x7112, 0xc403, 0x7106, 0xc3ec, 0x70fa, 0xc3d6, 0x70ee, 0xc3c0,
0x70e2, 0xc3aa, 0x70d6, 0xc394, 0x70cb, 0xc37d, 0x70bf, 0xc367,
0x70b3, 0xc351, 0x70a7, 0xc33b, 0x709b, 0xc325, 0x708f, 0xc30f,
0x7083, 0xc2f9, 0x7077, 0xc2e3, 0x706b, 0xc2cd, 0x705f, 0xc2b7,
0x7053, 0xc2a0, 0x7047, 0xc28a, 0x703b, 0xc274, 0x702f, 0xc25e,
0x7023, 0xc248, 0x7016, 0xc232, 0x700a, 0xc21c, 0x6ffe, 0xc206,
0x6ff2, 0xc1f0, 0x6fe6, 0xc1da, 0x6fda, 0xc1c4, 0x6fcd, 0xc1ae,
0x6fc1, 0xc198, 0x6fb5, 0xc183, 0x6fa9, 0xc16d, 0x6f9c, 0xc157,
0x6f90, 0xc141, 0x6f84, 0xc12b, 0x6f77, 0xc115, 0x6f6b, 0xc0ff,
0x6f5f, 0xc0e9, 0x6f52, 0xc0d3, 0x6f46, 0xc0bd, 0x6f39, 0xc0a8,
0x6f2d, 0xc092, 0x6f20, 0xc07c, 0x6f14, 0xc066, 0x6f07, 0xc050,
0x6efb, 0xc03b, 0x6eee, 0xc025, 0x6ee2, 0xc00f, 0x6ed5, 0xbff9,
0x6ec9, 0xbfe3, 0x6ebc, 0xbfce, 0x6eaf, 0xbfb8, 0x6ea3, 0xbfa2,
0x6e96, 0xbf8d, 0x6e89, 0xbf77, 0x6e7d, 0xbf61, 0x6e70, 0xbf4b,
0x6e63, 0xbf36, 0x6e57, 0xbf20, 0x6e4a, 0xbf0a, 0x6e3d, 0xbef5,
0x6e30, 0xbedf, 0x6e24, 0xbeca, 0x6e17, 0xbeb4, 0x6e0a, 0xbe9e,
0x6dfd, 0xbe89, 0x6df0, 0xbe73, 0x6de3, 0xbe5e, 0x6dd6, 0xbe48,
0x6dca, 0xbe32, 0x6dbd, 0xbe1d, 0x6db0, 0xbe07, 0x6da3, 0xbdf2,
0x6d96, 0xbddc, 0x6d89, 0xbdc7, 0x6d7c, 0xbdb1, 0x6d6f, 0xbd9c,
0x6d62, 0xbd86, 0x6d55, 0xbd71, 0x6d48, 0xbd5b, 0x6d3a, 0xbd46,
0x6d2d, 0xbd30, 0x6d20, 0xbd1b, 0x6d13, 0xbd06, 0x6d06, 0xbcf0,
0x6cf9, 0xbcdb, 0x6cec, 0xbcc5, 0x6cde, 0xbcb0, 0x6cd1, 0xbc9b,
0x6cc4, 0xbc85, 0x6cb7, 0xbc70, 0x6ca9, 0xbc5b, 0x6c9c, 0xbc45,
0x6c8f, 0xbc30, 0x6c81, 0xbc1b, 0x6c74, 0xbc05, 0x6c67, 0xbbf0,
0x6c59, 0xbbdb, 0x6c4c, 0xbbc5, 0x6c3f, 0xbbb0, 0x6c31, 0xbb9b,
0x6c24, 0xbb86, 0x6c16, 0xbb70, 0x6c09, 0xbb5b, 0x6bfb, 0xbb46,
0x6bee, 0xbb31, 0x6be0, 0xbb1c, 0x6bd3, 0xbb06, 0x6bc5, 0xbaf1,
0x6bb8, 0xbadc, 0x6baa, 0xbac7, 0x6b9c, 0xbab2, 0x6b8f, 0xba9d,
0x6b81, 0xba88, 0x6b73, 0xba73, 0x6b66, 0xba5d, 0x6b58, 0xba48,
0x6b4a, 0xba33, 0x6b3d, 0xba1e, 0x6b2f, 0xba09, 0x6b21, 0xb9f4,
0x6b13, 0xb9df, 0x6b06, 0xb9ca, 0x6af8, 0xb9b5, 0x6aea, 0xb9a0,
0x6adc, 0xb98b, 0x6ace, 0xb976, 0x6ac1, 0xb961, 0x6ab3, 0xb94c,
0x6aa5, 0xb937, 0x6a97, 0xb922, 0x6a89, 0xb90d, 0x6a7b, 0xb8f8,
0x6a6d, 0xb8e4, 0x6a5f, 0xb8cf, 0x6a51, 0xb8ba, 0x6a43, 0xb8a5,
0x6a35, 0xb890, 0x6a27, 0xb87b, 0x6a19, 0xb866, 0x6a0b, 0xb852,
0x69fd, 0xb83d, 0x69ef, 0xb828, 0x69e1, 0xb813, 0x69d3, 0xb7fe,
0x69c4, 0xb7ea, 0x69b6, 0xb7d5, 0x69a8, 0xb7c0, 0x699a, 0xb7ab,
0x698c, 0xb797, 0x697d, 0xb782, 0x696f, 0xb76d, 0x6961, 0xb758,
0x6953, 0xb744, 0x6944, 0xb72f, 0x6936, 0xb71a, 0x6928, 0xb706,
0x6919, 0xb6f1, 0x690b, 0xb6dd, 0x68fd, 0xb6c8, 0x68ee, 0xb6b3,
0x68e0, 0xb69f, 0x68d1, 0xb68a, 0x68c3, 0xb676, 0x68b5, 0xb661,
0x68a6, 0xb64c, 0x6898, 0xb638, 0x6889, 0xb623, 0x687b, 0xb60f,
0x686c, 0xb5fa, 0x685e, 0xb5e6, 0x684f, 0xb5d1, 0x6840, 0xb5bd,
0x6832, 0xb5a8, 0x6823, 0xb594, 0x6815, 0xb57f, 0x6806, 0xb56b,
0x67f7, 0xb557, 0x67e9, 0xb542, 0x67da, 0xb52e, 0x67cb, 0xb519,
0x67bd, 0xb505, 0x67ae, 0xb4f1, 0x679f, 0xb4dc, 0x6790, 0xb4c8,
0x6782, 0xb4b4, 0x6773, 0xb49f, 0x6764, 0xb48b, 0x6755, 0xb477,
0x6746, 0xb462, 0x6737, 0xb44e, 0x6729, 0xb43a, 0x671a, 0xb426,
0x670b, 0xb411, 0x66fc, 0xb3fd, 0x66ed, 0xb3e9, 0x66de, 0xb3d5,
0x66cf, 0xb3c1, 0x66c0, 0xb3ac, 0x66b1, 0xb398, 0x66a2, 0xb384,
0x6693, 0xb370, 0x6684, 0xb35c, 0x6675, 0xb348, 0x6666, 0xb334,
0x6657, 0xb31f, 0x6648, 0xb30b, 0x6639, 0xb2f7, 0x6629, 0xb2e3,
0x661a, 0xb2cf, 0x660b, 0xb2bb, 0x65fc, 0xb2a7, 0x65ed, 0xb293,
0x65dd, 0xb27f, 0x65ce, 0xb26b, 0x65bf, 0xb257, 0x65b0, 0xb243,
0x65a0, 0xb22f, 0x6591, 0xb21b, 0x6582, 0xb207, 0x6573, 0xb1f3,
0x6563, 0xb1df, 0x6554, 0xb1cc, 0x6545, 0xb1b8, 0x6535, 0xb1a4,
0x6526, 0xb190, 0x6516, 0xb17c, 0x6507, 0xb168, 0x64f7, 0xb154,
0x64e8, 0xb141, 0x64d9, 0xb12d, 0x64c9, 0xb119, 0x64ba, 0xb105,
0x64aa, 0xb0f1, 0x649b, 0xb0de, 0x648b, 0xb0ca, 0x647b, 0xb0b6,
0x646c, 0xb0a2, 0x645c, 0xb08f, 0x644d, 0xb07b, 0x643d, 0xb067,
0x642d, 0xb054, 0x641e, 0xb040, 0x640e, 0xb02c, 0x63fe, 0xb019,
0x63ef, 0xb005, 0x63df, 0xaff1, 0x63cf, 0xafde, 0x63c0, 0xafca,
0x63b0, 0xafb7, 0x63a0, 0xafa3, 0x6390, 0xaf90, 0x6380, 0xaf7c,
0x6371, 0xaf69, 0x6361, 0xaf55, 0x6351, 0xaf41, 0x6341, 0xaf2e,
0x6331, 0xaf1b, 0x6321, 0xaf07, 0x6311, 0xaef4, 0x6301, 0xaee0,
0x62f2, 0xaecd, 0x62e2, 0xaeb9, 0x62d2, 0xaea6, 0x62c2, 0xae92,
0x62b2, 0xae7f, 0x62a2, 0xae6c, 0x6292, 0xae58, 0x6282, 0xae45,
0x6271, 0xae32, 0x6261, 0xae1e, 0x6251, 0xae0b, 0x6241, 0xadf8,
0x6231, 0xade4, 0x6221, 0xadd1, 0x6211, 0xadbe, 0x6201, 0xadab,
0x61f1, 0xad97, 0x61e0, 0xad84, 0x61d0, 0xad71, 0x61c0, 0xad5e,
0x61b0, 0xad4b, 0x619f, 0xad37, 0x618f, 0xad24, 0x617f, 0xad11,
0x616f, 0xacfe, 0x615e, 0xaceb, 0x614e, 0xacd8, 0x613e, 0xacc5,
0x612d, 0xacb2, 0x611d, 0xac9e, 0x610d, 0xac8b, 0x60fc, 0xac78,
0x60ec, 0xac65, 0x60db, 0xac52, 0x60cb, 0xac3f, 0x60ba, 0xac2c,
0x60aa, 0xac19, 0x6099, 0xac06, 0x6089, 0xabf3, 0x6078, 0xabe0,
0x6068, 0xabcd, 0x6057, 0xabbb, 0x6047, 0xaba8, 0x6036, 0xab95,
0x6026, 0xab82, 0x6015, 0xab6f, 0x6004, 0xab5c, 0x5ff4, 0xab49,
0x5fe3, 0xab36, 0x5fd3, 0xab24, 0x5fc2, 0xab11, 0x5fb1, 0xaafe,
0x5fa0, 0xaaeb, 0x5f90, 0xaad8, 0x5f7f, 0xaac6, 0x5f6e, 0xaab3,
0x5f5e, 0xaaa0, 0x5f4d, 0xaa8e, 0x5f3c, 0xaa7b, 0x5f2b, 0xaa68,
0x5f1a, 0xaa55, 0x5f0a, 0xaa43, 0x5ef9, 0xaa30, 0x5ee8, 0xaa1d,
0x5ed7, 0xaa0b, 0x5ec6, 0xa9f8, 0x5eb5, 0xa9e6, 0x5ea4, 0xa9d3,
0x5e93, 0xa9c0, 0x5e82, 0xa9ae, 0x5e71, 0xa99b, 0x5e60, 0xa989,
0x5e50, 0xa976, 0x5e3f, 0xa964, 0x5e2d, 0xa951, 0x5e1c, 0xa93f,
0x5e0b, 0xa92c, 0x5dfa, 0xa91a, 0x5de9, 0xa907, 0x5dd8, 0xa8f5,
0x5dc7, 0xa8e3, 0x5db6, 0xa8d0, 0x5da5, 0xa8be, 0x5d94, 0xa8ab,
0x5d83, 0xa899, 0x5d71, 0xa887, 0x5d60, 0xa874, 0x5d4f, 0xa862,
0x5d3e, 0xa850, 0x5d2d, 0xa83d, 0x5d1b, 0xa82b, 0x5d0a, 0xa819,
0x5cf9, 0xa807, 0x5ce8, 0xa7f4, 0x5cd6, 0xa7e2, 0x5cc5, 0xa7d0,
0x5cb4, 0xa7be, 0x5ca2, 0xa7ab, 0x5c91, 0xa799, 0x5c80, 0xa787,
0x5c6e, 0xa775, 0x5c5d, 0xa763, 0x5c4b, 0xa751, 0x5c3a, 0xa73f,
0x5c29, 0xa72c, 0x5c17, 0xa71a, 0x5c06, 0xa708, 0x5bf4, 0xa6f6,
0x5be3, 0xa6e4, 0x5bd1, 0xa6d2, 0x5bc0, 0xa6c0, 0x5bae, 0xa6ae,
0x5b9d, 0xa69c, 0x5b8b, 0xa68a, 0x5b79, 0xa678, 0x5b68, 0xa666,
0x5b56, 0xa654, 0x5b45, 0xa642, 0x5b33, 0xa630, 0x5b21, 0xa61f,
0x5b10, 0xa60d, 0x5afe, 0xa5fb, 0x5aec, 0xa5e9, 0x5adb, 0xa5d7,
0x5ac9, 0xa5c5, 0x5ab7, 0xa5b3, 0x5aa5, 0xa5a2, 0x5a94, 0xa590,
0x5a82, 0xa57e, 0x5a70, 0xa56c, 0x5a5e, 0xa55b, 0x5a4d, 0xa549,
0x5a3b, 0xa537, 0x5a29, 0xa525, 0x5a17, 0xa514, 0x5a05, 0xa502,
0x59f3, 0xa4f0, 0x59e1, 0xa4df, 0x59d0, 0xa4cd, 0x59be, 0xa4bb,
0x59ac, 0xa4aa, 0x599a, 0xa498, 0x5988, 0xa487, 0x5976, 0xa475,
0x5964, 0xa463, 0x5952, 0xa452, 0x5940, 0xa440, 0x592e, 0xa42f,
0x591c, 0xa41d, 0x590a, 0xa40c, 0x58f8, 0xa3fa, 0x58e6, 0xa3e9,
0x58d4, 0xa3d7, 0x58c1, 0xa3c6, 0x58af, 0xa3b5, 0x589d, 0xa3a3,
0x588b, 0xa392, 0x5879, 0xa380, 0x5867, 0xa36f, 0x5855, 0xa35e,
0x5842, 0xa34c, 0x5830, 0xa33b, 0x581e, 0xa32a, 0x580c, 0xa318,
0x57f9, 0xa307, 0x57e7, 0xa2f6, 0x57d5, 0xa2e5, 0x57c3, 0xa2d3,
0x57b0, 0xa2c2, 0x579e, 0xa2b1, 0x578c, 0xa2a0, 0x5779, 0xa28f,
0x5767, 0xa27d, 0x5755, 0xa26c, 0x5742, 0xa25b, 0x5730, 0xa24a,
0x571d, 0xa239, 0x570b, 0xa228, 0x56f9, 0xa217, 0x56e6, 0xa206,
0x56d4, 0xa1f5, 0x56c1, 0xa1e4, 0x56af, 0xa1d3, 0x569c, 0xa1c1,
0x568a, 0xa1b0, 0x5677, 0xa1a0, 0x5665, 0xa18f, 0x5652, 0xa17e,
0x5640, 0xa16d, 0x562d, 0xa15c, 0x561a, 0xa14b, 0x5608, 0xa13a,
0x55f5, 0xa129, 0x55e3, 0xa118, 0x55d0, 0xa107, 0x55bd, 0xa0f6,
0x55ab, 0xa0e6, 0x5598, 0xa0d5, 0x5585, 0xa0c4, 0x5572, 0xa0b3,
0x5560, 0xa0a2, 0x554d, 0xa092, 0x553a, 0xa081, 0x5528, 0xa070,
0x5515, 0xa060, 0x5502, 0xa04f, 0x54ef, 0xa03e, 0x54dc, 0xa02d,
0x54ca, 0xa01d, 0x54b7, 0xa00c, 0x54a4, 0x9ffc, 0x5491, 0x9feb,
0x547e, 0x9fda, 0x546b, 0x9fca, 0x5458, 0x9fb9, 0x5445, 0x9fa9,
0x5433, 0x9f98, 0x5420, 0x9f88, 0x540d, 0x9f77, 0x53fa, 0x9f67,
0x53e7, 0x9f56, 0x53d4, 0x9f46, 0x53c1, 0x9f35, 0x53ae, 0x9f25,
0x539b, 0x9f14, 0x5388, 0x9f04, 0x5375, 0x9ef3, 0x5362, 0x9ee3,
0x534e, 0x9ed3, 0x533b, 0x9ec2, 0x5328, 0x9eb2, 0x5315, 0x9ea2,
0x5302, 0x9e91, 0x52ef, 0x9e81, 0x52dc, 0x9e71, 0x52c9, 0x9e61,
0x52b5, 0x9e50, 0x52a2, 0x9e40, 0x528f, 0x9e30, 0x527c, 0x9e20,
0x5269, 0x9e0f, 0x5255, 0x9dff, 0x5242, 0x9def, 0x522f, 0x9ddf,
0x521c, 0x9dcf, 0x5208, 0x9dbf, 0x51f5, 0x9daf, 0x51e2, 0x9d9f,
0x51ce, 0x9d8f, 0x51bb, 0x9d7e, 0x51a8, 0x9d6e, 0x5194, 0x9d5e,
0x5181, 0x9d4e, 0x516e, 0x9d3e, 0x515a, 0x9d2e, 0x5147, 0x9d1e,
0x5133, 0x9d0e, 0x5120, 0x9cff, 0x510c, 0x9cef, 0x50f9, 0x9cdf,
0x50e5, 0x9ccf, 0x50d2, 0x9cbf, 0x50bf, 0x9caf, 0x50ab, 0x9c9f,
0x5097, 0x9c8f, 0x5084, 0x9c80, 0x5070, 0x9c70, 0x505d, 0x9c60,
0x5049, 0x9c50, 0x5036, 0x9c40, 0x5022, 0x9c31, 0x500f, 0x9c21,
0x4ffb, 0x9c11, 0x4fe7, 0x9c02, 0x4fd4, 0x9bf2, 0x4fc0, 0x9be2,
0x4fac, 0x9bd3, 0x4f99, 0x9bc3, 0x4f85, 0x9bb3, 0x4f71, 0x9ba4,
0x4f5e, 0x9b94, 0x4f4a, 0x9b85, 0x4f36, 0x9b75, 0x4f22, 0x9b65,
0x4f0f, 0x9b56, 0x4efb, 0x9b46, 0x4ee7, 0x9b37, 0x4ed3, 0x9b27,
0x4ebf, 0x9b18, 0x4eac, 0x9b09, 0x4e98, 0x9af9, 0x4e84, 0x9aea,
0x4e70, 0x9ada, 0x4e5c, 0x9acb, 0x4e48, 0x9abb, 0x4e34, 0x9aac,
0x4e21, 0x9a9d, 0x4e0d, 0x9a8d, 0x4df9, 0x9a7e, 0x4de5, 0x9a6f,
0x4dd1, 0x9a60, 0x4dbd, 0x9a50, 0x4da9, 0x9a41, 0x4d95, 0x9a32,
0x4d81, 0x9a23, 0x4d6d, 0x9a13, 0x4d59, 0x9a04, 0x4d45, 0x99f5,
0x4d31, 0x99e6, 0x4d1d, 0x99d7, 0x4d09, 0x99c7, 0x4cf5, 0x99b8,
0x4ce1, 0x99a9, 0x4ccc, 0x999a, 0x4cb8, 0x998b, 0x4ca4, 0x997c,
0x4c90, 0x996d, 0x4c7c, 0x995e, 0x4c68, 0x994f, 0x4c54, 0x9940,
0x4c3f, 0x9931, 0x4c2b, 0x9922, 0x4c17, 0x9913, 0x4c03, 0x9904,
0x4bef, 0x98f5, 0x4bda, 0x98e6, 0x4bc6, 0x98d7, 0x4bb2, 0x98c9,
0x4b9e, 0x98ba, 0x4b89, 0x98ab, 0x4b75, 0x989c, 0x4b61, 0x988d,
0x4b4c, 0x987e, 0x4b38, 0x9870, 0x4b24, 0x9861, 0x4b0f, 0x9852,
0x4afb, 0x9843, 0x4ae7, 0x9835, 0x4ad2, 0x9826, 0x4abe, 0x9817,
0x4aa9, 0x9809, 0x4a95, 0x97fa, 0x4a81, 0x97eb, 0x4a6c, 0x97dd,
0x4a58, 0x97ce, 0x4a43, 0x97c0, 0x4a2f, 0x97b1, 0x4a1a, 0x97a2,
0x4a06, 0x9794, 0x49f1, 0x9785, 0x49dd, 0x9777, 0x49c8, 0x9768,
0x49b4, 0x975a, 0x499f, 0x974b, 0x498a, 0x973d, 0x4976, 0x972f,
0x4961, 0x9720, 0x494d, 0x9712, 0x4938, 0x9703, 0x4923, 0x96f5,
0x490f, 0x96e7, 0x48fa, 0x96d8, 0x48e6, 0x96ca, 0x48d1, 0x96bc,
0x48bc, 0x96ad, 0x48a8, 0x969f, 0x4893, 0x9691, 0x487e, 0x9683,
0x4869, 0x9674, 0x4855, 0x9666, 0x4840, 0x9658, 0x482b, 0x964a,
0x4816, 0x963c, 0x4802, 0x962d, 0x47ed, 0x961f, 0x47d8, 0x9611,
0x47c3, 0x9603, 0x47ae, 0x95f5, 0x479a, 0x95e7, 0x4785, 0x95d9,
0x4770, 0x95cb, 0x475b, 0x95bd, 0x4746, 0x95af, 0x4731, 0x95a1,
0x471c, 0x9593, 0x4708, 0x9585, 0x46f3, 0x9577, 0x46de, 0x9569,
0x46c9, 0x955b, 0x46b4, 0x954d, 0x469f, 0x953f, 0x468a, 0x9532,
0x4675, 0x9524, 0x4660, 0x9516, 0x464b, 0x9508, 0x4636, 0x94fa,
0x4621, 0x94ed, 0x460c, 0x94df, 0x45f7, 0x94d1, 0x45e2, 0x94c3,
0x45cd, 0x94b6, 0x45b8, 0x94a8, 0x45a3, 0x949a, 0x458d, 0x948d,
0x4578, 0x947f, 0x4563, 0x9471, 0x454e, 0x9464, 0x4539, 0x9456,
0x4524, 0x9448, 0x450f, 0x943b, 0x44fa, 0x942d, 0x44e4, 0x9420,
0x44cf, 0x9412, 0x44ba, 0x9405, 0x44a5, 0x93f7, 0x4490, 0x93ea,
0x447a, 0x93dc, 0x4465, 0x93cf, 0x4450, 0x93c1, 0x443b, 0x93b4,
0x4425, 0x93a7, 0x4410, 0x9399, 0x43fb, 0x938c, 0x43e5, 0x937f,
0x43d0, 0x9371, 0x43bb, 0x9364, 0x43a5, 0x9357, 0x4390, 0x9349,
0x437b, 0x933c, 0x4365, 0x932f, 0x4350, 0x9322, 0x433b, 0x9314,
0x4325, 0x9307, 0x4310, 0x92fa, 0x42fa, 0x92ed, 0x42e5, 0x92e0,
0x42d0, 0x92d3, 0x42ba, 0x92c6, 0x42a5, 0x92b8, 0x428f, 0x92ab,
0x427a, 0x929e, 0x4264, 0x9291, 0x424f, 0x9284, 0x4239, 0x9277,
0x4224, 0x926a, 0x420e, 0x925d, 0x41f9, 0x9250, 0x41e3, 0x9243,
0x41ce, 0x9236, 0x41b8, 0x922a, 0x41a2, 0x921d, 0x418d, 0x9210,
0x4177, 0x9203, 0x4162, 0x91f6, 0x414c, 0x91e9, 0x4136, 0x91dc,
0x4121, 0x91d0, 0x410b, 0x91c3, 0x40f6, 0x91b6, 0x40e0, 0x91a9,
0x40ca, 0x919d, 0x40b5, 0x9190, 0x409f, 0x9183, 0x4089, 0x9177,
0x4073, 0x916a, 0x405e, 0x915d, 0x4048, 0x9151, 0x4032, 0x9144,
0x401d, 0x9137, 0x4007, 0x912b, 0x3ff1, 0x911e, 0x3fdb, 0x9112,
0x3fc5, 0x9105, 0x3fb0, 0x90f9, 0x3f9a, 0x90ec, 0x3f84, 0x90e0,
0x3f6e, 0x90d3, 0x3f58, 0x90c7, 0x3f43, 0x90ba, 0x3f2d, 0x90ae,
0x3f17, 0x90a1, 0x3f01, 0x9095, 0x3eeb, 0x9089, 0x3ed5, 0x907c,
0x3ebf, 0x9070, 0x3ea9, 0x9064, 0x3e93, 0x9057, 0x3e7d, 0x904b,
0x3e68, 0x903f, 0x3e52, 0x9033, 0x3e3c, 0x9026, 0x3e26, 0x901a,
0x3e10, 0x900e, 0x3dfa, 0x9002, 0x3de4, 0x8ff6, 0x3dce, 0x8fea,
0x3db8, 0x8fdd, 0x3da2, 0x8fd1, 0x3d8c, 0x8fc5, 0x3d76, 0x8fb9,
0x3d60, 0x8fad, 0x3d49, 0x8fa1, 0x3d33, 0x8f95, 0x3d1d, 0x8f89,
0x3d07, 0x8f7d, 0x3cf1, 0x8f71, 0x3cdb, 0x8f65, 0x3cc5, 0x8f59,
0x3caf, 0x8f4d, 0x3c99, 0x8f41, 0x3c83, 0x8f35, 0x3c6c, 0x8f2a,
0x3c56, 0x8f1e, 0x3c40, 0x8f12, 0x3c2a, 0x8f06, 0x3c14, 0x8efa,
0x3bfd, 0x8eee, 0x3be7, 0x8ee3, 0x3bd1, 0x8ed7, 0x3bbb, 0x8ecb,
0x3ba5, 0x8ebf, 0x3b8e, 0x8eb4, 0x3b78, 0x8ea8, 0x3b62, 0x8e9c,
0x3b4c, 0x8e91, 0x3b35, 0x8e85, 0x3b1f, 0x8e7a, 0x3b09, 0x8e6e,
0x3af2, 0x8e62, 0x3adc, 0x8e57, 0x3ac6, 0x8e4b, 0x3aaf, 0x8e40,
0x3a99, 0x8e34, 0x3a83, 0x8e29, 0x3a6c, 0x8e1d, 0x3a56, 0x8e12,
0x3a40, 0x8e06, 0x3a29, 0x8dfb, 0x3a13, 0x8def, 0x39fd, 0x8de4,
0x39e6, 0x8dd9, 0x39d0, 0x8dcd, 0x39b9, 0x8dc2, 0x39a3, 0x8db7,
0x398c, 0x8dab, 0x3976, 0x8da0, 0x395f, 0x8d95, 0x3949, 0x8d8a,
0x3932, 0x8d7e, 0x391c, 0x8d73, 0x3906, 0x8d68, 0x38ef, 0x8d5d,
0x38d8, 0x8d51, 0x38c2, 0x8d46, 0x38ab, 0x8d3b, 0x3895, 0x8d30,
0x387e, 0x8d25, 0x3868, 0x8d1a, 0x3851, 0x8d0f, 0x383b, 0x8d04,
0x3824, 0x8cf9, 0x380d, 0x8cee, 0x37f7, 0x8ce3, 0x37e0, 0x8cd8,
0x37ca, 0x8ccd, 0x37b3, 0x8cc2, 0x379c, 0x8cb7, 0x3786, 0x8cac,
0x376f, 0x8ca1, 0x3758, 0x8c96, 0x3742, 0x8c8b, 0x372b, 0x8c81,
0x3714, 0x8c76, 0x36fe, 0x8c6b, 0x36e7, 0x8c60, 0x36d0, 0x8c55,
0x36ba, 0x8c4b, 0x36a3, 0x8c40, 0x368c, 0x8c35, 0x3675, 0x8c2a,
0x365f, 0x8c20, 0x3648, 0x8c15, 0x3631, 0x8c0a, 0x361a, 0x8c00,
0x3604, 0x8bf5, 0x35ed, 0x8beb, 0x35d6, 0x8be0, 0x35bf, 0x8bd5,
0x35a8, 0x8bcb, 0x3592, 0x8bc0, 0x357b, 0x8bb6, 0x3564, 0x8bab,
0x354d, 0x8ba1, 0x3536, 0x8b96, 0x351f, 0x8b8c, 0x3508, 0x8b82,
0x34f2, 0x8b77, 0x34db, 0x8b6d, 0x34c4, 0x8b62, 0x34ad, 0x8b58,
0x3496, 0x8b4e, 0x347f, 0x8b43, 0x3468, 0x8b39, 0x3451, 0x8b2f,
0x343a, 0x8b25, 0x3423, 0x8b1a, 0x340c, 0x8b10, 0x33f5, 0x8b06,
0x33de, 0x8afc, 0x33c7, 0x8af1, 0x33b0, 0x8ae7, 0x3399, 0x8add,
0x3382, 0x8ad3, 0x336b, 0x8ac9, 0x3354, 0x8abf, 0x333d, 0x8ab5,
0x3326, 0x8aab, 0x330f, 0x8aa1, 0x32f8, 0x8a97, 0x32e1, 0x8a8d,
0x32ca, 0x8a83, 0x32b3, 0x8a79, 0x329c, 0x8a6f, 0x3285, 0x8a65,
0x326e, 0x8a5b, 0x3257, 0x8a51, 0x3240, 0x8a47, 0x3228, 0x8a3d,
0x3211, 0x8a34, 0x31fa, 0x8a2a, 0x31e3, 0x8a20, 0x31cc, 0x8a16,
0x31b5, 0x8a0c, 0x319e, 0x8a03, 0x3186, 0x89f9, 0x316f, 0x89ef,
0x3158, 0x89e5, 0x3141, 0x89dc, 0x312a, 0x89d2, 0x3112, 0x89c8,
0x30fb, 0x89bf, 0x30e4, 0x89b5, 0x30cd, 0x89ac, 0x30b6, 0x89a2,
0x309e, 0x8998, 0x3087, 0x898f, 0x3070, 0x8985, 0x3059, 0x897c,
0x3041, 0x8972, 0x302a, 0x8969, 0x3013, 0x8960, 0x2ffb, 0x8956,
0x2fe4, 0x894d, 0x2fcd, 0x8943, 0x2fb5, 0x893a, 0x2f9e, 0x8931,
0x2f87, 0x8927, 0x2f6f, 0x891e, 0x2f58, 0x8915, 0x2f41, 0x890b,
0x2f29, 0x8902, 0x2f12, 0x88f9, 0x2efb, 0x88f0, 0x2ee3, 0x88e6,
0x2ecc, 0x88dd, 0x2eb5, 0x88d4, 0x2e9d, 0x88cb, 0x2e86, 0x88c2,
0x2e6e, 0x88b9, 0x2e57, 0x88af, 0x2e3f, 0x88a6, 0x2e28, 0x889d,
0x2e11, 0x8894, 0x2df9, 0x888b, 0x2de2, 0x8882, 0x2dca, 0x8879,
0x2db3, 0x8870, 0x2d9b, 0x8867, 0x2d84, 0x885e, 0x2d6c, 0x8855,
0x2d55, 0x884c, 0x2d3d, 0x8844, 0x2d26, 0x883b, 0x2d0e, 0x8832,
0x2cf7, 0x8829, 0x2cdf, 0x8820, 0x2cc8, 0x8817, 0x2cb0, 0x880f,
0x2c98, 0x8806, 0x2c81, 0x87fd, 0x2c69, 0x87f4, 0x2c52, 0x87ec,
0x2c3a, 0x87e3, 0x2c23, 0x87da, 0x2c0b, 0x87d2, 0x2bf3, 0x87c9,
0x2bdc, 0x87c0, 0x2bc4, 0x87b8, 0x2bad, 0x87af, 0x2b95, 0x87a7,
0x2b7d, 0x879e, 0x2b66, 0x8795, 0x2b4e, 0x878d, 0x2b36, 0x8784,
0x2b1f, 0x877c, 0x2b07, 0x8774, 0x2aef, 0x876b, 0x2ad8, 0x8763,
0x2ac0, 0x875a, 0x2aa8, 0x8752, 0x2a91, 0x874a, 0x2a79, 0x8741,
0x2a61, 0x8739, 0x2a49, 0x8731, 0x2a32, 0x8728, 0x2a1a, 0x8720,
0x2a02, 0x8718, 0x29eb, 0x870f, 0x29d3, 0x8707, 0x29bb, 0x86ff,
0x29a3, 0x86f7, 0x298b, 0x86ef, 0x2974, 0x86e7, 0x295c, 0x86de,
0x2944, 0x86d6, 0x292c, 0x86ce, 0x2915, 0x86c6, 0x28fd, 0x86be,
0x28e5, 0x86b6, 0x28cd, 0x86ae, 0x28b5, 0x86a6, 0x289d, 0x869e,
0x2886, 0x8696, 0x286e, 0x868e, 0x2856, 0x8686, 0x283e, 0x867e,
0x2826, 0x8676, 0x280e, 0x866e, 0x27f6, 0x8667, 0x27df, 0x865f,
0x27c7, 0x8657, 0x27af, 0x864f, 0x2797, 0x8647, 0x277f, 0x8640,
0x2767, 0x8638, 0x274f, 0x8630, 0x2737, 0x8628, 0x271f, 0x8621,
0x2707, 0x8619, 0x26ef, 0x8611, 0x26d8, 0x860a, 0x26c0, 0x8602,
0x26a8, 0x85fb, 0x2690, 0x85f3, 0x2678, 0x85eb, 0x2660, 0x85e4,
0x2648, 0x85dc, 0x2630, 0x85d5, 0x2618, 0x85cd, 0x2600, 0x85c6,
0x25e8, 0x85be, 0x25d0, 0x85b7, 0x25b8, 0x85b0, 0x25a0, 0x85a8,
0x2588, 0x85a1, 0x2570, 0x8599, 0x2558, 0x8592, 0x2540, 0x858b,
0x2528, 0x8583, 0x250f, 0x857c, 0x24f7, 0x8575, 0x24df, 0x856e,
0x24c7, 0x8566, 0x24af, 0x855f, 0x2497, 0x8558, 0x247f, 0x8551,
0x2467, 0x854a, 0x244f, 0x8543, 0x2437, 0x853b, 0x241f, 0x8534,
0x2407, 0x852d, 0x23ee, 0x8526, 0x23d6, 0x851f, 0x23be, 0x8518,
0x23a6, 0x8511, 0x238e, 0x850a, 0x2376, 0x8503, 0x235e, 0x84fc,
0x2345, 0x84f5, 0x232d, 0x84ee, 0x2315, 0x84e7, 0x22fd, 0x84e1,
0x22e5, 0x84da, 0x22cd, 0x84d3, 0x22b4, 0x84cc, 0x229c, 0x84c5,
0x2284, 0x84be, 0x226c, 0x84b8, 0x2254, 0x84b1, 0x223b, 0x84aa,
0x2223, 0x84a3, 0x220b, 0x849d, 0x21f3, 0x8496, 0x21da, 0x848f,
0x21c2, 0x8489, 0x21aa, 0x8482, 0x2192, 0x847c, 0x2179, 0x8475,
0x2161, 0x846e, 0x2149, 0x8468, 0x2131, 0x8461, 0x2118, 0x845b,
0x2100, 0x8454, 0x20e8, 0x844e, 0x20d0, 0x8447, 0x20b7, 0x8441,
0x209f, 0x843b, 0x2087, 0x8434, 0x206e, 0x842e, 0x2056, 0x8427,
0x203e, 0x8421, 0x2025, 0x841b, 0x200d, 0x8415, 0x1ff5, 0x840e,
0x1fdc, 0x8408, 0x1fc4, 0x8402, 0x1fac, 0x83fb, 0x1f93, 0x83f5,
0x1f7b, 0x83ef, 0x1f63, 0x83e9, 0x1f4a, 0x83e3, 0x1f32, 0x83dd,
0x1f19, 0x83d7, 0x1f01, 0x83d0, 0x1ee9, 0x83ca, 0x1ed0, 0x83c4,
0x1eb8, 0x83be, 0x1ea0, 0x83b8, 0x1e87, 0x83b2, 0x1e6f, 0x83ac,
0x1e56, 0x83a6, 0x1e3e, 0x83a0, 0x1e25, 0x839a, 0x1e0d, 0x8394,
0x1df5, 0x838f, 0x1ddc, 0x8389, 0x1dc4, 0x8383, 0x1dab, 0x837d,
0x1d93, 0x8377, 0x1d7a, 0x8371, 0x1d62, 0x836c, 0x1d49, 0x8366,
0x1d31, 0x8360, 0x1d18, 0x835a, 0x1d00, 0x8355, 0x1ce8, 0x834f,
0x1ccf, 0x8349, 0x1cb7, 0x8344, 0x1c9e, 0x833e, 0x1c86, 0x8338,
0x1c6d, 0x8333, 0x1c55, 0x832d, 0x1c3c, 0x8328, 0x1c24, 0x8322,
0x1c0b, 0x831d, 0x1bf2, 0x8317, 0x1bda, 0x8312, 0x1bc1, 0x830c,
0x1ba9, 0x8307, 0x1b90, 0x8301, 0x1b78, 0x82fc, 0x1b5f, 0x82f7,
0x1b47, 0x82f1, 0x1b2e, 0x82ec, 0x1b16, 0x82e7, 0x1afd, 0x82e1,
0x1ae4, 0x82dc, 0x1acc, 0x82d7, 0x1ab3, 0x82d1, 0x1a9b, 0x82cc,
0x1a82, 0x82c7, 0x1a6a, 0x82c2, 0x1a51, 0x82bd, 0x1a38, 0x82b7,
0x1a20, 0x82b2, 0x1a07, 0x82ad, 0x19ef, 0x82a8, 0x19d6, 0x82a3,
0x19bd, 0x829e, 0x19a5, 0x8299, 0x198c, 0x8294, 0x1973, 0x828f,
0x195b, 0x828a, 0x1942, 0x8285, 0x192a, 0x8280, 0x1911, 0x827b,
0x18f8, 0x8276, 0x18e0, 0x8271, 0x18c7, 0x826c, 0x18ae, 0x8268,
0x1896, 0x8263, 0x187d, 0x825e, 0x1864, 0x8259, 0x184c, 0x8254,
0x1833, 0x8250, 0x181a, 0x824b, 0x1802, 0x8246, 0x17e9, 0x8241,
0x17d0, 0x823d, 0x17b7, 0x8238, 0x179f, 0x8233, 0x1786, 0x822f,
0x176d, 0x822a, 0x1755, 0x8226, 0x173c, 0x8221, 0x1723, 0x821c,
0x170a, 0x8218, 0x16f2, 0x8213, 0x16d9, 0x820f, 0x16c0, 0x820a,
0x16a8, 0x8206, 0x168f, 0x8201, 0x1676, 0x81fd, 0x165d, 0x81f9,
0x1645, 0x81f4, 0x162c, 0x81f0, 0x1613, 0x81ec, 0x15fa, 0x81e7,
0x15e2, 0x81e3, 0x15c9, 0x81df, 0x15b0, 0x81da, 0x1597, 0x81d6,
0x157f, 0x81d2, 0x1566, 0x81ce, 0x154d, 0x81c9, 0x1534, 0x81c5,
0x151b, 0x81c1, 0x1503, 0x81bd, 0x14ea, 0x81b9, 0x14d1, 0x81b5,
0x14b8, 0x81b1, 0x149f, 0x81ad, 0x1487, 0x81a9, 0x146e, 0x81a5,
0x1455, 0x81a1, 0x143c, 0x819d, 0x1423, 0x8199, 0x140b, 0x8195,
0x13f2, 0x8191, 0x13d9, 0x818d, 0x13c0, 0x8189, 0x13a7, 0x8185,
0x138e, 0x8181, 0x1376, 0x817d, 0x135d, 0x817a, 0x1344, 0x8176,
0x132b, 0x8172, 0x1312, 0x816e, 0x12f9, 0x816b, 0x12e0, 0x8167,
0x12c8, 0x8163, 0x12af, 0x815f, 0x1296, 0x815c, 0x127d, 0x8158,
0x1264, 0x8155, 0x124b, 0x8151, 0x1232, 0x814d, 0x1219, 0x814a,
0x1201, 0x8146, 0x11e8, 0x8143, 0x11cf, 0x813f, 0x11b6, 0x813c,
0x119d, 0x8138, 0x1184, 0x8135, 0x116b, 0x8131, 0x1152, 0x812e,
0x1139, 0x812b, 0x1121, 0x8127, 0x1108, 0x8124, 0x10ef, 0x8121,
0x10d6, 0x811d, 0x10bd, 0x811a, 0x10a4, 0x8117, 0x108b, 0x8113,
0x1072, 0x8110, 0x1059, 0x810d, 0x1040, 0x810a, 0x1027, 0x8107,
0x100e, 0x8103, 0xff5, 0x8100, 0xfdd, 0x80fd, 0xfc4, 0x80fa,
0xfab, 0x80f7, 0xf92, 0x80f4, 0xf79, 0x80f1, 0xf60, 0x80ee,
0xf47, 0x80eb, 0xf2e, 0x80e8, 0xf15, 0x80e5, 0xefc, 0x80e2,
0xee3, 0x80df, 0xeca, 0x80dc, 0xeb1, 0x80d9, 0xe98, 0x80d6,
0xe7f, 0x80d3, 0xe66, 0x80d1, 0xe4d, 0x80ce, 0xe34, 0x80cb,
0xe1b, 0x80c8, 0xe02, 0x80c5, 0xde9, 0x80c3, 0xdd0, 0x80c0,
0xdb7, 0x80bd, 0xd9e, 0x80bb, 0xd85, 0x80b8, 0xd6c, 0x80b5,
0xd53, 0x80b3, 0xd3a, 0x80b0, 0xd21, 0x80ad, 0xd08, 0x80ab,
0xcef, 0x80a8, 0xcd6, 0x80a6, 0xcbd, 0x80a3, 0xca4, 0x80a1,
0xc8b, 0x809e, 0xc72, 0x809c, 0xc59, 0x8099, 0xc40, 0x8097,
0xc27, 0x8095, 0xc0e, 0x8092, 0xbf5, 0x8090, 0xbdc, 0x808e,
0xbc3, 0x808b, 0xbaa, 0x8089, 0xb91, 0x8087, 0xb78, 0x8084,
0xb5f, 0x8082, 0xb46, 0x8080, 0xb2d, 0x807e, 0xb14, 0x807b,
0xafb, 0x8079, 0xae2, 0x8077, 0xac9, 0x8075, 0xab0, 0x8073,
0xa97, 0x8071, 0xa7e, 0x806f, 0xa65, 0x806d, 0xa4c, 0x806b,
0xa33, 0x8069, 0xa19, 0x8067, 0xa00, 0x8065, 0x9e7, 0x8063,
0x9ce, 0x8061, 0x9b5, 0x805f, 0x99c, 0x805d, 0x983, 0x805b,
0x96a, 0x8059, 0x951, 0x8057, 0x938, 0x8056, 0x91f, 0x8054,
0x906, 0x8052, 0x8ed, 0x8050, 0x8d4, 0x804f, 0x8bb, 0x804d,
0x8a2, 0x804b, 0x888, 0x8049, 0x86f, 0x8048, 0x856, 0x8046,
0x83d, 0x8044, 0x824, 0x8043, 0x80b, 0x8041, 0x7f2, 0x8040,
0x7d9, 0x803e, 0x7c0, 0x803d, 0x7a7, 0x803b, 0x78e, 0x803a,
0x775, 0x8038, 0x75b, 0x8037, 0x742, 0x8035, 0x729, 0x8034,
0x710, 0x8032, 0x6f7, 0x8031, 0x6de, 0x8030, 0x6c5, 0x802e,
0x6ac, 0x802d, 0x693, 0x802c, 0x67a, 0x802a, 0x660, 0x8029,
0x647, 0x8028, 0x62e, 0x8027, 0x615, 0x8026, 0x5fc, 0x8024,
0x5e3, 0x8023, 0x5ca, 0x8022, 0x5b1, 0x8021, 0x598, 0x8020,
0x57f, 0x801f, 0x565, 0x801e, 0x54c, 0x801d, 0x533, 0x801c,
0x51a, 0x801b, 0x501, 0x801a, 0x4e8, 0x8019, 0x4cf, 0x8018,
0x4b6, 0x8017, 0x49c, 0x8016, 0x483, 0x8015, 0x46a, 0x8014,
0x451, 0x8013, 0x438, 0x8012, 0x41f, 0x8012, 0x406, 0x8011,
0x3ed, 0x8010, 0x3d4, 0x800f, 0x3ba, 0x800e, 0x3a1, 0x800e,
0x388, 0x800d, 0x36f, 0x800c, 0x356, 0x800c, 0x33d, 0x800b,
0x324, 0x800a, 0x30b, 0x800a, 0x2f1, 0x8009, 0x2d8, 0x8009,
0x2bf, 0x8008, 0x2a6, 0x8008, 0x28d, 0x8007, 0x274, 0x8007,
0x25b, 0x8006, 0x242, 0x8006, 0x228, 0x8005, 0x20f, 0x8005,
0x1f6, 0x8004, 0x1dd, 0x8004, 0x1c4, 0x8004, 0x1ab, 0x8003,
0x192, 0x8003, 0x178, 0x8003, 0x15f, 0x8002, 0x146, 0x8002,
0x12d, 0x8002, 0x114, 0x8002, 0xfb, 0x8001, 0xe2, 0x8001,
0xc9, 0x8001, 0xaf, 0x8001, 0x96, 0x8001, 0x7d, 0x8001,
0x64, 0x8001, 0x4b, 0x8001, 0x32, 0x8001, 0x19, 0x8001,
};
static const q15_t ALIGN4 WeightsQ15_8192[16384] = {
0x7fff, 0x0, 0x7fff, 0xfffa, 0x7fff, 0xfff4, 0x7fff, 0xffee,
0x7fff, 0xffe7, 0x7fff, 0xffe1, 0x7fff, 0xffdb, 0x7fff, 0xffd5,
0x7fff, 0xffce, 0x7fff, 0xffc8, 0x7fff, 0xffc2, 0x7fff, 0xffbb,
0x7fff, 0xffb5, 0x7fff, 0xffaf, 0x7fff, 0xffa9, 0x7fff, 0xffa2,
0x7fff, 0xff9c, 0x7fff, 0xff96, 0x7fff, 0xff8f, 0x7fff, 0xff89,
0x7fff, 0xff83, 0x7fff, 0xff7d, 0x7fff, 0xff76, 0x7fff, 0xff70,
0x7fff, 0xff6a, 0x7fff, 0xff63, 0x7fff, 0xff5d, 0x7fff, 0xff57,
0x7fff, 0xff51, 0x7fff, 0xff4a, 0x7fff, 0xff44, 0x7fff, 0xff3e,
0x7fff, 0xff37, 0x7fff, 0xff31, 0x7fff, 0xff2b, 0x7fff, 0xff25,
0x7fff, 0xff1e, 0x7fff, 0xff18, 0x7fff, 0xff12, 0x7fff, 0xff0b,
0x7fff, 0xff05, 0x7ffe, 0xfeff, 0x7ffe, 0xfef9, 0x7ffe, 0xfef2,
0x7ffe, 0xfeec, 0x7ffe, 0xfee6, 0x7ffe, 0xfedf, 0x7ffe, 0xfed9,
0x7ffe, 0xfed3, 0x7ffe, 0xfecd, 0x7ffe, 0xfec6, 0x7ffe, 0xfec0,
0x7ffe, 0xfeba, 0x7ffe, 0xfeb3, 0x7ffe, 0xfead, 0x7ffe, 0xfea7,
0x7ffe, 0xfea1, 0x7ffe, 0xfe9a, 0x7ffd, 0xfe94, 0x7ffd, 0xfe8e,
0x7ffd, 0xfe88, 0x7ffd, 0xfe81, 0x7ffd, 0xfe7b, 0x7ffd, 0xfe75,
0x7ffd, 0xfe6e, 0x7ffd, 0xfe68, 0x7ffd, 0xfe62, 0x7ffd, 0xfe5c,
0x7ffd, 0xfe55, 0x7ffd, 0xfe4f, 0x7ffd, 0xfe49, 0x7ffc, 0xfe42,
0x7ffc, 0xfe3c, 0x7ffc, 0xfe36, 0x7ffc, 0xfe30, 0x7ffc, 0xfe29,
0x7ffc, 0xfe23, 0x7ffc, 0xfe1d, 0x7ffc, 0xfe16, 0x7ffc, 0xfe10,
0x7ffc, 0xfe0a, 0x7ffc, 0xfe04, 0x7ffb, 0xfdfd, 0x7ffb, 0xfdf7,
0x7ffb, 0xfdf1, 0x7ffb, 0xfdea, 0x7ffb, 0xfde4, 0x7ffb, 0xfdde,
0x7ffb, 0xfdd8, 0x7ffb, 0xfdd1, 0x7ffb, 0xfdcb, 0x7ffb, 0xfdc5,
0x7ffa, 0xfdbe, 0x7ffa, 0xfdb8, 0x7ffa, 0xfdb2, 0x7ffa, 0xfdac,
0x7ffa, 0xfda5, 0x7ffa, 0xfd9f, 0x7ffa, 0xfd99, 0x7ffa, 0xfd93,
0x7ff9, 0xfd8c, 0x7ff9, 0xfd86, 0x7ff9, 0xfd80, 0x7ff9, 0xfd79,
0x7ff9, 0xfd73, 0x7ff9, 0xfd6d, 0x7ff9, 0xfd67, 0x7ff9, 0xfd60,
0x7ff8, 0xfd5a, 0x7ff8, 0xfd54, 0x7ff8, 0xfd4d, 0x7ff8, 0xfd47,
0x7ff8, 0xfd41, 0x7ff8, 0xfd3b, 0x7ff8, 0xfd34, 0x7ff8, 0xfd2e,
0x7ff7, 0xfd28, 0x7ff7, 0xfd21, 0x7ff7, 0xfd1b, 0x7ff7, 0xfd15,
0x7ff7, 0xfd0f, 0x7ff7, 0xfd08, 0x7ff7, 0xfd02, 0x7ff6, 0xfcfc,
0x7ff6, 0xfcf5, 0x7ff6, 0xfcef, 0x7ff6, 0xfce9, 0x7ff6, 0xfce3,
0x7ff6, 0xfcdc, 0x7ff5, 0xfcd6, 0x7ff5, 0xfcd0, 0x7ff5, 0xfcc9,
0x7ff5, 0xfcc3, 0x7ff5, 0xfcbd, 0x7ff5, 0xfcb7, 0x7ff5, 0xfcb0,
0x7ff4, 0xfcaa, 0x7ff4, 0xfca4, 0x7ff4, 0xfc9e, 0x7ff4, 0xfc97,
0x7ff4, 0xfc91, 0x7ff4, 0xfc8b, 0x7ff3, 0xfc84, 0x7ff3, 0xfc7e,
0x7ff3, 0xfc78, 0x7ff3, 0xfc72, 0x7ff3, 0xfc6b, 0x7ff2, 0xfc65,
0x7ff2, 0xfc5f, 0x7ff2, 0xfc58, 0x7ff2, 0xfc52, 0x7ff2, 0xfc4c,
0x7ff2, 0xfc46, 0x7ff1, 0xfc3f, 0x7ff1, 0xfc39, 0x7ff1, 0xfc33,
0x7ff1, 0xfc2c, 0x7ff1, 0xfc26, 0x7ff0, 0xfc20, 0x7ff0, 0xfc1a,
0x7ff0, 0xfc13, 0x7ff0, 0xfc0d, 0x7ff0, 0xfc07, 0x7fef, 0xfc01,
0x7fef, 0xfbfa, 0x7fef, 0xfbf4, 0x7fef, 0xfbee, 0x7fef, 0xfbe7,
0x7fee, 0xfbe1, 0x7fee, 0xfbdb, 0x7fee, 0xfbd5, 0x7fee, 0xfbce,
0x7fee, 0xfbc8, 0x7fed, 0xfbc2, 0x7fed, 0xfbbb, 0x7fed, 0xfbb5,
0x7fed, 0xfbaf, 0x7fed, 0xfba9, 0x7fec, 0xfba2, 0x7fec, 0xfb9c,
0x7fec, 0xfb96, 0x7fec, 0xfb8f, 0x7fec, 0xfb89, 0x7feb, 0xfb83,
0x7feb, 0xfb7d, 0x7feb, 0xfb76, 0x7feb, 0xfb70, 0x7fea, 0xfb6a,
0x7fea, 0xfb64, 0x7fea, 0xfb5d, 0x7fea, 0xfb57, 0x7fea, 0xfb51,
0x7fe9, 0xfb4a, 0x7fe9, 0xfb44, 0x7fe9, 0xfb3e, 0x7fe9, 0xfb38,
0x7fe8, 0xfb31, 0x7fe8, 0xfb2b, 0x7fe8, 0xfb25, 0x7fe8, 0xfb1e,
0x7fe7, 0xfb18, 0x7fe7, 0xfb12, 0x7fe7, 0xfb0c, 0x7fe7, 0xfb05,
0x7fe6, 0xfaff, 0x7fe6, 0xfaf9, 0x7fe6, 0xfaf3, 0x7fe6, 0xfaec,
0x7fe5, 0xfae6, 0x7fe5, 0xfae0, 0x7fe5, 0xfad9, 0x7fe5, 0xfad3,
0x7fe4, 0xfacd, 0x7fe4, 0xfac7, 0x7fe4, 0xfac0, 0x7fe4, 0xfaba,
0x7fe3, 0xfab4, 0x7fe3, 0xfaad, 0x7fe3, 0xfaa7, 0x7fe3, 0xfaa1,
0x7fe2, 0xfa9b, 0x7fe2, 0xfa94, 0x7fe2, 0xfa8e, 0x7fe2, 0xfa88,
0x7fe1, 0xfa81, 0x7fe1, 0xfa7b, 0x7fe1, 0xfa75, 0x7fe0, 0xfa6f,
0x7fe0, 0xfa68, 0x7fe0, 0xfa62, 0x7fe0, 0xfa5c, 0x7fdf, 0xfa56,
0x7fdf, 0xfa4f, 0x7fdf, 0xfa49, 0x7fdf, 0xfa43, 0x7fde, 0xfa3c,
0x7fde, 0xfa36, 0x7fde, 0xfa30, 0x7fdd, 0xfa2a, 0x7fdd, 0xfa23,
0x7fdd, 0xfa1d, 0x7fdd, 0xfa17, 0x7fdc, 0xfa11, 0x7fdc, 0xfa0a,
0x7fdc, 0xfa04, 0x7fdb, 0xf9fe, 0x7fdb, 0xf9f7, 0x7fdb, 0xf9f1,
0x7fda, 0xf9eb, 0x7fda, 0xf9e5, 0x7fda, 0xf9de, 0x7fda, 0xf9d8,
0x7fd9, 0xf9d2, 0x7fd9, 0xf9cb, 0x7fd9, 0xf9c5, 0x7fd8, 0xf9bf,
0x7fd8, 0xf9b9, 0x7fd8, 0xf9b2, 0x7fd7, 0xf9ac, 0x7fd7, 0xf9a6,
0x7fd7, 0xf9a0, 0x7fd6, 0xf999, 0x7fd6, 0xf993, 0x7fd6, 0xf98d,
0x7fd6, 0xf986, 0x7fd5, 0xf980, 0x7fd5, 0xf97a, 0x7fd5, 0xf974,
0x7fd4, 0xf96d, 0x7fd4, 0xf967, 0x7fd4, 0xf961, 0x7fd3, 0xf95b,
0x7fd3, 0xf954, 0x7fd3, 0xf94e, 0x7fd2, 0xf948, 0x7fd2, 0xf941,
0x7fd2, 0xf93b, 0x7fd1, 0xf935, 0x7fd1, 0xf92f, 0x7fd1, 0xf928,
0x7fd0, 0xf922, 0x7fd0, 0xf91c, 0x7fd0, 0xf916, 0x7fcf, 0xf90f,
0x7fcf, 0xf909, 0x7fcf, 0xf903, 0x7fce, 0xf8fc, 0x7fce, 0xf8f6,
0x7fce, 0xf8f0, 0x7fcd, 0xf8ea, 0x7fcd, 0xf8e3, 0x7fcd, 0xf8dd,
0x7fcc, 0xf8d7, 0x7fcc, 0xf8d0, 0x7fcb, 0xf8ca, 0x7fcb, 0xf8c4,
0x7fcb, 0xf8be, 0x7fca, 0xf8b7, 0x7fca, 0xf8b1, 0x7fca, 0xf8ab,
0x7fc9, 0xf8a5, 0x7fc9, 0xf89e, 0x7fc9, 0xf898, 0x7fc8, 0xf892,
0x7fc8, 0xf88b, 0x7fc7, 0xf885, 0x7fc7, 0xf87f, 0x7fc7, 0xf879,
0x7fc6, 0xf872, 0x7fc6, 0xf86c, 0x7fc6, 0xf866, 0x7fc5, 0xf860,
0x7fc5, 0xf859, 0x7fc5, 0xf853, 0x7fc4, 0xf84d, 0x7fc4, 0xf846,
0x7fc3, 0xf840, 0x7fc3, 0xf83a, 0x7fc3, 0xf834, 0x7fc2, 0xf82d,
0x7fc2, 0xf827, 0x7fc1, 0xf821, 0x7fc1, 0xf81b, 0x7fc1, 0xf814,
0x7fc0, 0xf80e, 0x7fc0, 0xf808, 0x7fc0, 0xf802, 0x7fbf, 0xf7fb,
0x7fbf, 0xf7f5, 0x7fbe, 0xf7ef, 0x7fbe, 0xf7e8, 0x7fbe, 0xf7e2,
0x7fbd, 0xf7dc, 0x7fbd, 0xf7d6, 0x7fbc, 0xf7cf, 0x7fbc, 0xf7c9,
0x7fbc, 0xf7c3, 0x7fbb, 0xf7bd, 0x7fbb, 0xf7b6, 0x7fba, 0xf7b0,
0x7fba, 0xf7aa, 0x7fb9, 0xf7a3, 0x7fb9, 0xf79d, 0x7fb9, 0xf797,
0x7fb8, 0xf791, 0x7fb8, 0xf78a, 0x7fb7, 0xf784, 0x7fb7, 0xf77e,
0x7fb7, 0xf778, 0x7fb6, 0xf771, 0x7fb6, 0xf76b, 0x7fb5, 0xf765,
0x7fb5, 0xf75e, 0x7fb4, 0xf758, 0x7fb4, 0xf752, 0x7fb4, 0xf74c,
0x7fb3, 0xf745, 0x7fb3, 0xf73f, 0x7fb2, 0xf739, 0x7fb2, 0xf733,
0x7fb1, 0xf72c, 0x7fb1, 0xf726, 0x7fb1, 0xf720, 0x7fb0, 0xf71a,
0x7fb0, 0xf713, 0x7faf, 0xf70d, 0x7faf, 0xf707, 0x7fae, 0xf700,
0x7fae, 0xf6fa, 0x7fae, 0xf6f4, 0x7fad, 0xf6ee, 0x7fad, 0xf6e7,
0x7fac, 0xf6e1, 0x7fac, 0xf6db, 0x7fab, 0xf6d5, 0x7fab, 0xf6ce,
0x7faa, 0xf6c8, 0x7faa, 0xf6c2, 0x7fa9, 0xf6bc, 0x7fa9, 0xf6b5,
0x7fa9, 0xf6af, 0x7fa8, 0xf6a9, 0x7fa8, 0xf6a2, 0x7fa7, 0xf69c,
0x7fa7, 0xf696, 0x7fa6, 0xf690, 0x7fa6, 0xf689, 0x7fa5, 0xf683,
0x7fa5, 0xf67d, 0x7fa4, 0xf677, 0x7fa4, 0xf670, 0x7fa3, 0xf66a,
0x7fa3, 0xf664, 0x7fa3, 0xf65e, 0x7fa2, 0xf657, 0x7fa2, 0xf651,
0x7fa1, 0xf64b, 0x7fa1, 0xf644, 0x7fa0, 0xf63e, 0x7fa0, 0xf638,
0x7f9f, 0xf632, 0x7f9f, 0xf62b, 0x7f9e, 0xf625, 0x7f9e, 0xf61f,
0x7f9d, 0xf619, 0x7f9d, 0xf612, 0x7f9c, 0xf60c, 0x7f9c, 0xf606,
0x7f9b, 0xf600, 0x7f9b, 0xf5f9, 0x7f9a, 0xf5f3, 0x7f9a, 0xf5ed,
0x7f99, 0xf5e7, 0x7f99, 0xf5e0, 0x7f98, 0xf5da, 0x7f98, 0xf5d4,
0x7f97, 0xf5cd, 0x7f97, 0xf5c7, 0x7f96, 0xf5c1, 0x7f96, 0xf5bb,
0x7f95, 0xf5b4, 0x7f95, 0xf5ae, 0x7f94, 0xf5a8, 0x7f94, 0xf5a2,
0x7f93, 0xf59b, 0x7f93, 0xf595, 0x7f92, 0xf58f, 0x7f92, 0xf589,
0x7f91, 0xf582, 0x7f91, 0xf57c, 0x7f90, 0xf576, 0x7f90, 0xf570,
0x7f8f, 0xf569, 0x7f8f, 0xf563, 0x7f8e, 0xf55d, 0x7f8e, 0xf556,
0x7f8d, 0xf550, 0x7f8d, 0xf54a, 0x7f8c, 0xf544, 0x7f8b, 0xf53d,
0x7f8b, 0xf537, 0x7f8a, 0xf531, 0x7f8a, 0xf52b, 0x7f89, 0xf524,
0x7f89, 0xf51e, 0x7f88, 0xf518, 0x7f88, 0xf512, 0x7f87, 0xf50b,
0x7f87, 0xf505, 0x7f86, 0xf4ff, 0x7f86, 0xf4f9, 0x7f85, 0xf4f2,
0x7f85, 0xf4ec, 0x7f84, 0xf4e6, 0x7f83, 0xf4e0, 0x7f83, 0xf4d9,
0x7f82, 0xf4d3, 0x7f82, 0xf4cd, 0x7f81, 0xf4c6, 0x7f81, 0xf4c0,
0x7f80, 0xf4ba, 0x7f80, 0xf4b4, 0x7f7f, 0xf4ad, 0x7f7e, 0xf4a7,
0x7f7e, 0xf4a1, 0x7f7d, 0xf49b, 0x7f7d, 0xf494, 0x7f7c, 0xf48e,
0x7f7c, 0xf488, 0x7f7b, 0xf482, 0x7f7b, 0xf47b, 0x7f7a, 0xf475,
0x7f79, 0xf46f, 0x7f79, 0xf469, 0x7f78, 0xf462, 0x7f78, 0xf45c,
0x7f77, 0xf456, 0x7f77, 0xf450, 0x7f76, 0xf449, 0x7f75, 0xf443,
0x7f75, 0xf43d, 0x7f74, 0xf437, 0x7f74, 0xf430, 0x7f73, 0xf42a,
0x7f72, 0xf424, 0x7f72, 0xf41e, 0x7f71, 0xf417, 0x7f71, 0xf411,
0x7f70, 0xf40b, 0x7f70, 0xf405, 0x7f6f, 0xf3fe, 0x7f6e, 0xf3f8,
0x7f6e, 0xf3f2, 0x7f6d, 0xf3ec, 0x7f6d, 0xf3e5, 0x7f6c, 0xf3df,
0x7f6b, 0xf3d9, 0x7f6b, 0xf3d2, 0x7f6a, 0xf3cc, 0x7f6a, 0xf3c6,
0x7f69, 0xf3c0, 0x7f68, 0xf3b9, 0x7f68, 0xf3b3, 0x7f67, 0xf3ad,
0x7f67, 0xf3a7, 0x7f66, 0xf3a0, 0x7f65, 0xf39a, 0x7f65, 0xf394,
0x7f64, 0xf38e, 0x7f64, 0xf387, 0x7f63, 0xf381, 0x7f62, 0xf37b,
0x7f62, 0xf375, 0x7f61, 0xf36e, 0x7f60, 0xf368, 0x7f60, 0xf362,
0x7f5f, 0xf35c, 0x7f5f, 0xf355, 0x7f5e, 0xf34f, 0x7f5d, 0xf349,
0x7f5d, 0xf343, 0x7f5c, 0xf33c, 0x7f5b, 0xf336, 0x7f5b, 0xf330,
0x7f5a, 0xf32a, 0x7f5a, 0xf323, 0x7f59, 0xf31d, 0x7f58, 0xf317,
0x7f58, 0xf311, 0x7f57, 0xf30a, 0x7f56, 0xf304, 0x7f56, 0xf2fe,
0x7f55, 0xf2f8, 0x7f55, 0xf2f1, 0x7f54, 0xf2eb, 0x7f53, 0xf2e5,
0x7f53, 0xf2df, 0x7f52, 0xf2d8, 0x7f51, 0xf2d2, 0x7f51, 0xf2cc,
0x7f50, 0xf2c6, 0x7f4f, 0xf2bf, 0x7f4f, 0xf2b9, 0x7f4e, 0xf2b3,
0x7f4d, 0xf2ad, 0x7f4d, 0xf2a6, 0x7f4c, 0xf2a0, 0x7f4b, 0xf29a,
0x7f4b, 0xf294, 0x7f4a, 0xf28d, 0x7f49, 0xf287, 0x7f49, 0xf281,
0x7f48, 0xf27b, 0x7f47, 0xf274, 0x7f47, 0xf26e, 0x7f46, 0xf268,
0x7f45, 0xf262, 0x7f45, 0xf25b, 0x7f44, 0xf255, 0x7f43, 0xf24f,
0x7f43, 0xf249, 0x7f42, 0xf242, 0x7f41, 0xf23c, 0x7f41, 0xf236,
0x7f40, 0xf230, 0x7f3f, 0xf229, 0x7f3f, 0xf223, 0x7f3e, 0xf21d,
0x7f3d, 0xf217, 0x7f3d, 0xf210, 0x7f3c, 0xf20a, 0x7f3b, 0xf204,
0x7f3b, 0xf1fe, 0x7f3a, 0xf1f7, 0x7f39, 0xf1f1, 0x7f39, 0xf1eb,
0x7f38, 0xf1e5, 0x7f37, 0xf1de, 0x7f36, 0xf1d8, 0x7f36, 0xf1d2,
0x7f35, 0xf1cc, 0x7f34, 0xf1c6, 0x7f34, 0xf1bf, 0x7f33, 0xf1b9,
0x7f32, 0xf1b3, 0x7f32, 0xf1ad, 0x7f31, 0xf1a6, 0x7f30, 0xf1a0,
0x7f2f, 0xf19a, 0x7f2f, 0xf194, 0x7f2e, 0xf18d, 0x7f2d, 0xf187,
0x7f2d, 0xf181, 0x7f2c, 0xf17b, 0x7f2b, 0xf174, 0x7f2a, 0xf16e,
0x7f2a, 0xf168, 0x7f29, 0xf162, 0x7f28, 0xf15b, 0x7f28, 0xf155,
0x7f27, 0xf14f, 0x7f26, 0xf149, 0x7f25, 0xf142, 0x7f25, 0xf13c,
0x7f24, 0xf136, 0x7f23, 0xf130, 0x7f23, 0xf129, 0x7f22, 0xf123,
0x7f21, 0xf11d, 0x7f20, 0xf117, 0x7f20, 0xf110, 0x7f1f, 0xf10a,
0x7f1e, 0xf104, 0x7f1d, 0xf0fe, 0x7f1d, 0xf0f8, 0x7f1c, 0xf0f1,
0x7f1b, 0xf0eb, 0x7f1a, 0xf0e5, 0x7f1a, 0xf0df, 0x7f19, 0xf0d8,
0x7f18, 0xf0d2, 0x7f17, 0xf0cc, 0x7f17, 0xf0c6, 0x7f16, 0xf0bf,
0x7f15, 0xf0b9, 0x7f14, 0xf0b3, 0x7f14, 0xf0ad, 0x7f13, 0xf0a6,
0x7f12, 0xf0a0, 0x7f11, 0xf09a, 0x7f11, 0xf094, 0x7f10, 0xf08d,
0x7f0f, 0xf087, 0x7f0e, 0xf081, 0x7f0e, 0xf07b, 0x7f0d, 0xf075,
0x7f0c, 0xf06e, 0x7f0b, 0xf068, 0x7f0b, 0xf062, 0x7f0a, 0xf05c,
0x7f09, 0xf055, 0x7f08, 0xf04f, 0x7f08, 0xf049, 0x7f07, 0xf043,
0x7f06, 0xf03c, 0x7f05, 0xf036, 0x7f04, 0xf030, 0x7f04, 0xf02a,
0x7f03, 0xf023, 0x7f02, 0xf01d, 0x7f01, 0xf017, 0x7f01, 0xf011,
0x7f00, 0xf00b, 0x7eff, 0xf004, 0x7efe, 0xeffe, 0x7efd, 0xeff8,
0x7efd, 0xeff2, 0x7efc, 0xefeb, 0x7efb, 0xefe5, 0x7efa, 0xefdf,
0x7ef9, 0xefd9, 0x7ef9, 0xefd2, 0x7ef8, 0xefcc, 0x7ef7, 0xefc6,
0x7ef6, 0xefc0, 0x7ef5, 0xefb9, 0x7ef5, 0xefb3, 0x7ef4, 0xefad,
0x7ef3, 0xefa7, 0x7ef2, 0xefa1, 0x7ef1, 0xef9a, 0x7ef1, 0xef94,
0x7ef0, 0xef8e, 0x7eef, 0xef88, 0x7eee, 0xef81, 0x7eed, 0xef7b,
0x7eed, 0xef75, 0x7eec, 0xef6f, 0x7eeb, 0xef68, 0x7eea, 0xef62,
0x7ee9, 0xef5c, 0x7ee9, 0xef56, 0x7ee8, 0xef50, 0x7ee7, 0xef49,
0x7ee6, 0xef43, 0x7ee5, 0xef3d, 0x7ee4, 0xef37, 0x7ee4, 0xef30,
0x7ee3, 0xef2a, 0x7ee2, 0xef24, 0x7ee1, 0xef1e, 0x7ee0, 0xef18,
0x7edf, 0xef11, 0x7edf, 0xef0b, 0x7ede, 0xef05, 0x7edd, 0xeeff,
0x7edc, 0xeef8, 0x7edb, 0xeef2, 0x7eda, 0xeeec, 0x7eda, 0xeee6,
0x7ed9, 0xeedf, 0x7ed8, 0xeed9, 0x7ed7, 0xeed3, 0x7ed6, 0xeecd,
0x7ed5, 0xeec7, 0x7ed5, 0xeec0, 0x7ed4, 0xeeba, 0x7ed3, 0xeeb4,
0x7ed2, 0xeeae, 0x7ed1, 0xeea7, 0x7ed0, 0xeea1, 0x7ecf, 0xee9b,
0x7ecf, 0xee95, 0x7ece, 0xee8f, 0x7ecd, 0xee88, 0x7ecc, 0xee82,
0x7ecb, 0xee7c, 0x7eca, 0xee76, 0x7ec9, 0xee6f, 0x7ec9, 0xee69,
0x7ec8, 0xee63, 0x7ec7, 0xee5d, 0x7ec6, 0xee57, 0x7ec5, 0xee50,
0x7ec4, 0xee4a, 0x7ec3, 0xee44, 0x7ec3, 0xee3e, 0x7ec2, 0xee37,
0x7ec1, 0xee31, 0x7ec0, 0xee2b, 0x7ebf, 0xee25, 0x7ebe, 0xee1f,
0x7ebd, 0xee18, 0x7ebc, 0xee12, 0x7ebb, 0xee0c, 0x7ebb, 0xee06,
0x7eba, 0xedff, 0x7eb9, 0xedf9, 0x7eb8, 0xedf3, 0x7eb7, 0xeded,
0x7eb6, 0xede7, 0x7eb5, 0xede0, 0x7eb4, 0xedda, 0x7eb4, 0xedd4,
0x7eb3, 0xedce, 0x7eb2, 0xedc7, 0x7eb1, 0xedc1, 0x7eb0, 0xedbb,
0x7eaf, 0xedb5, 0x7eae, 0xedaf, 0x7ead, 0xeda8, 0x7eac, 0xeda2,
0x7eab, 0xed9c, 0x7eab, 0xed96, 0x7eaa, 0xed8f, 0x7ea9, 0xed89,
0x7ea8, 0xed83, 0x7ea7, 0xed7d, 0x7ea6, 0xed77, 0x7ea5, 0xed70,
0x7ea4, 0xed6a, 0x7ea3, 0xed64, 0x7ea2, 0xed5e, 0x7ea1, 0xed58,
0x7ea1, 0xed51, 0x7ea0, 0xed4b, 0x7e9f, 0xed45, 0x7e9e, 0xed3f,
0x7e9d, 0xed38, 0x7e9c, 0xed32, 0x7e9b, 0xed2c, 0x7e9a, 0xed26,
0x7e99, 0xed20, 0x7e98, 0xed19, 0x7e97, 0xed13, 0x7e96, 0xed0d,
0x7e95, 0xed07, 0x7e94, 0xed01, 0x7e94, 0xecfa, 0x7e93, 0xecf4,
0x7e92, 0xecee, 0x7e91, 0xece8, 0x7e90, 0xece1, 0x7e8f, 0xecdb,
0x7e8e, 0xecd5, 0x7e8d, 0xeccf, 0x7e8c, 0xecc9, 0x7e8b, 0xecc2,
0x7e8a, 0xecbc, 0x7e89, 0xecb6, 0x7e88, 0xecb0, 0x7e87, 0xecaa,
0x7e86, 0xeca3, 0x7e85, 0xec9d, 0x7e84, 0xec97, 0x7e84, 0xec91,
0x7e83, 0xec8a, 0x7e82, 0xec84, 0x7e81, 0xec7e, 0x7e80, 0xec78,
0x7e7f, 0xec72, 0x7e7e, 0xec6b, 0x7e7d, 0xec65, 0x7e7c, 0xec5f,
0x7e7b, 0xec59, 0x7e7a, 0xec53, 0x7e79, 0xec4c, 0x7e78, 0xec46,
0x7e77, 0xec40, 0x7e76, 0xec3a, 0x7e75, 0xec34, 0x7e74, 0xec2d,
0x7e73, 0xec27, 0x7e72, 0xec21, 0x7e71, 0xec1b, 0x7e70, 0xec15,
0x7e6f, 0xec0e, 0x7e6e, 0xec08, 0x7e6d, 0xec02, 0x7e6c, 0xebfc,
0x7e6b, 0xebf5, 0x7e6a, 0xebef, 0x7e69, 0xebe9, 0x7e68, 0xebe3,
0x7e67, 0xebdd, 0x7e66, 0xebd6, 0x7e65, 0xebd0, 0x7e64, 0xebca,
0x7e63, 0xebc4, 0x7e62, 0xebbe, 0x7e61, 0xebb7, 0x7e60, 0xebb1,
0x7e5f, 0xebab, 0x7e5e, 0xeba5, 0x7e5d, 0xeb9f, 0x7e5c, 0xeb98,
0x7e5b, 0xeb92, 0x7e5a, 0xeb8c, 0x7e59, 0xeb86, 0x7e58, 0xeb80,
0x7e57, 0xeb79, 0x7e56, 0xeb73, 0x7e55, 0xeb6d, 0x7e54, 0xeb67,
0x7e53, 0xeb61, 0x7e52, 0xeb5a, 0x7e51, 0xeb54, 0x7e50, 0xeb4e,
0x7e4f, 0xeb48, 0x7e4e, 0xeb42, 0x7e4d, 0xeb3b, 0x7e4c, 0xeb35,
0x7e4b, 0xeb2f, 0x7e4a, 0xeb29, 0x7e49, 0xeb23, 0x7e48, 0xeb1c,
0x7e47, 0xeb16, 0x7e46, 0xeb10, 0x7e45, 0xeb0a, 0x7e44, 0xeb04,
0x7e43, 0xeafd, 0x7e42, 0xeaf7, 0x7e41, 0xeaf1, 0x7e40, 0xeaeb,
0x7e3f, 0xeae5, 0x7e3e, 0xeade, 0x7e3d, 0xead8, 0x7e3c, 0xead2,
0x7e3b, 0xeacc, 0x7e3a, 0xeac6, 0x7e39, 0xeabf, 0x7e38, 0xeab9,
0x7e37, 0xeab3, 0x7e35, 0xeaad, 0x7e34, 0xeaa7, 0x7e33, 0xeaa0,
0x7e32, 0xea9a, 0x7e31, 0xea94, 0x7e30, 0xea8e, 0x7e2f, 0xea88,
0x7e2e, 0xea81, 0x7e2d, 0xea7b, 0x7e2c, 0xea75, 0x7e2b, 0xea6f,
0x7e2a, 0xea69, 0x7e29, 0xea63, 0x7e28, 0xea5c, 0x7e27, 0xea56,
0x7e26, 0xea50, 0x7e25, 0xea4a, 0x7e24, 0xea44, 0x7e22, 0xea3d,
0x7e21, 0xea37, 0x7e20, 0xea31, 0x7e1f, 0xea2b, 0x7e1e, 0xea25,
0x7e1d, 0xea1e, 0x7e1c, 0xea18, 0x7e1b, 0xea12, 0x7e1a, 0xea0c,
0x7e19, 0xea06, 0x7e18, 0xe9ff, 0x7e17, 0xe9f9, 0x7e16, 0xe9f3,
0x7e14, 0xe9ed, 0x7e13, 0xe9e7, 0x7e12, 0xe9e1, 0x7e11, 0xe9da,
0x7e10, 0xe9d4, 0x7e0f, 0xe9ce, 0x7e0e, 0xe9c8, 0x7e0d, 0xe9c2,
0x7e0c, 0xe9bb, 0x7e0b, 0xe9b5, 0x7e0a, 0xe9af, 0x7e08, 0xe9a9,
0x7e07, 0xe9a3, 0x7e06, 0xe99c, 0x7e05, 0xe996, 0x7e04, 0xe990,
0x7e03, 0xe98a, 0x7e02, 0xe984, 0x7e01, 0xe97e, 0x7e00, 0xe977,
0x7dff, 0xe971, 0x7dfd, 0xe96b, 0x7dfc, 0xe965, 0x7dfb, 0xe95f,
0x7dfa, 0xe958, 0x7df9, 0xe952, 0x7df8, 0xe94c, 0x7df7, 0xe946,
0x7df6, 0xe940, 0x7df5, 0xe93a, 0x7df3, 0xe933, 0x7df2, 0xe92d,
0x7df1, 0xe927, 0x7df0, 0xe921, 0x7def, 0xe91b, 0x7dee, 0xe914,
0x7ded, 0xe90e, 0x7dec, 0xe908, 0x7dea, 0xe902, 0x7de9, 0xe8fc,
0x7de8, 0xe8f6, 0x7de7, 0xe8ef, 0x7de6, 0xe8e9, 0x7de5, 0xe8e3,
0x7de4, 0xe8dd, 0x7de2, 0xe8d7, 0x7de1, 0xe8d0, 0x7de0, 0xe8ca,
0x7ddf, 0xe8c4, 0x7dde, 0xe8be, 0x7ddd, 0xe8b8, 0x7ddc, 0xe8b2,
0x7dda, 0xe8ab, 0x7dd9, 0xe8a5, 0x7dd8, 0xe89f, 0x7dd7, 0xe899,
0x7dd6, 0xe893, 0x7dd5, 0xe88c, 0x7dd4, 0xe886, 0x7dd2, 0xe880,
0x7dd1, 0xe87a, 0x7dd0, 0xe874, 0x7dcf, 0xe86e, 0x7dce, 0xe867,
0x7dcd, 0xe861, 0x7dcc, 0xe85b, 0x7dca, 0xe855, 0x7dc9, 0xe84f,
0x7dc8, 0xe849, 0x7dc7, 0xe842, 0x7dc6, 0xe83c, 0x7dc5, 0xe836,
0x7dc3, 0xe830, 0x7dc2, 0xe82a, 0x7dc1, 0xe823, 0x7dc0, 0xe81d,
0x7dbf, 0xe817, 0x7dbd, 0xe811, 0x7dbc, 0xe80b, 0x7dbb, 0xe805,
0x7dba, 0xe7fe, 0x7db9, 0xe7f8, 0x7db8, 0xe7f2, 0x7db6, 0xe7ec,
0x7db5, 0xe7e6, 0x7db4, 0xe7e0, 0x7db3, 0xe7d9, 0x7db2, 0xe7d3,
0x7db0, 0xe7cd, 0x7daf, 0xe7c7, 0x7dae, 0xe7c1, 0x7dad, 0xe7bb,
0x7dac, 0xe7b4, 0x7dab, 0xe7ae, 0x7da9, 0xe7a8, 0x7da8, 0xe7a2,
0x7da7, 0xe79c, 0x7da6, 0xe796, 0x7da5, 0xe78f, 0x7da3, 0xe789,
0x7da2, 0xe783, 0x7da1, 0xe77d, 0x7da0, 0xe777, 0x7d9f, 0xe771,
0x7d9d, 0xe76a, 0x7d9c, 0xe764, 0x7d9b, 0xe75e, 0x7d9a, 0xe758,
0x7d98, 0xe752, 0x7d97, 0xe74c, 0x7d96, 0xe745, 0x7d95, 0xe73f,
0x7d94, 0xe739, 0x7d92, 0xe733, 0x7d91, 0xe72d, 0x7d90, 0xe727,
0x7d8f, 0xe720, 0x7d8e, 0xe71a, 0x7d8c, 0xe714, 0x7d8b, 0xe70e,
0x7d8a, 0xe708, 0x7d89, 0xe702, 0x7d87, 0xe6fb, 0x7d86, 0xe6f5,
0x7d85, 0xe6ef, 0x7d84, 0xe6e9, 0x7d82, 0xe6e3, 0x7d81, 0xe6dd,
0x7d80, 0xe6d6, 0x7d7f, 0xe6d0, 0x7d7e, 0xe6ca, 0x7d7c, 0xe6c4,
0x7d7b, 0xe6be, 0x7d7a, 0xe6b8, 0x7d79, 0xe6b2, 0x7d77, 0xe6ab,
0x7d76, 0xe6a5, 0x7d75, 0xe69f, 0x7d74, 0xe699, 0x7d72, 0xe693,
0x7d71, 0xe68d, 0x7d70, 0xe686, 0x7d6f, 0xe680, 0x7d6d, 0xe67a,
0x7d6c, 0xe674, 0x7d6b, 0xe66e, 0x7d6a, 0xe668, 0x7d68, 0xe661,
0x7d67, 0xe65b, 0x7d66, 0xe655, 0x7d65, 0xe64f, 0x7d63, 0xe649,
0x7d62, 0xe643, 0x7d61, 0xe63d, 0x7d60, 0xe636, 0x7d5e, 0xe630,
0x7d5d, 0xe62a, 0x7d5c, 0xe624, 0x7d5a, 0xe61e, 0x7d59, 0xe618,
0x7d58, 0xe611, 0x7d57, 0xe60b, 0x7d55, 0xe605, 0x7d54, 0xe5ff,
0x7d53, 0xe5f9, 0x7d52, 0xe5f3, 0x7d50, 0xe5ed, 0x7d4f, 0xe5e6,
0x7d4e, 0xe5e0, 0x7d4c, 0xe5da, 0x7d4b, 0xe5d4, 0x7d4a, 0xe5ce,
0x7d49, 0xe5c8, 0x7d47, 0xe5c2, 0x7d46, 0xe5bb, 0x7d45, 0xe5b5,
0x7d43, 0xe5af, 0x7d42, 0xe5a9, 0x7d41, 0xe5a3, 0x7d3f, 0xe59d,
0x7d3e, 0xe596, 0x7d3d, 0xe590, 0x7d3c, 0xe58a, 0x7d3a, 0xe584,
0x7d39, 0xe57e, 0x7d38, 0xe578, 0x7d36, 0xe572, 0x7d35, 0xe56b,
0x7d34, 0xe565, 0x7d32, 0xe55f, 0x7d31, 0xe559, 0x7d30, 0xe553,
0x7d2f, 0xe54d, 0x7d2d, 0xe547, 0x7d2c, 0xe540, 0x7d2b, 0xe53a,
0x7d29, 0xe534, 0x7d28, 0xe52e, 0x7d27, 0xe528, 0x7d25, 0xe522,
0x7d24, 0xe51c, 0x7d23, 0xe515, 0x7d21, 0xe50f, 0x7d20, 0xe509,
0x7d1f, 0xe503, 0x7d1d, 0xe4fd, 0x7d1c, 0xe4f7, 0x7d1b, 0xe4f1,
0x7d19, 0xe4ea, 0x7d18, 0xe4e4, 0x7d17, 0xe4de, 0x7d15, 0xe4d8,
0x7d14, 0xe4d2, 0x7d13, 0xe4cc, 0x7d11, 0xe4c6, 0x7d10, 0xe4bf,
0x7d0f, 0xe4b9, 0x7d0d, 0xe4b3, 0x7d0c, 0xe4ad, 0x7d0b, 0xe4a7,
0x7d09, 0xe4a1, 0x7d08, 0xe49b, 0x7d07, 0xe494, 0x7d05, 0xe48e,
0x7d04, 0xe488, 0x7d03, 0xe482, 0x7d01, 0xe47c, 0x7d00, 0xe476,
0x7cff, 0xe470, 0x7cfd, 0xe46a, 0x7cfc, 0xe463, 0x7cfb, 0xe45d,
0x7cf9, 0xe457, 0x7cf8, 0xe451, 0x7cf6, 0xe44b, 0x7cf5, 0xe445,
0x7cf4, 0xe43f, 0x7cf2, 0xe438, 0x7cf1, 0xe432, 0x7cf0, 0xe42c,
0x7cee, 0xe426, 0x7ced, 0xe420, 0x7cec, 0xe41a, 0x7cea, 0xe414,
0x7ce9, 0xe40e, 0x7ce7, 0xe407, 0x7ce6, 0xe401, 0x7ce5, 0xe3fb,
0x7ce3, 0xe3f5, 0x7ce2, 0xe3ef, 0x7ce1, 0xe3e9, 0x7cdf, 0xe3e3,
0x7cde, 0xe3dc, 0x7cdc, 0xe3d6, 0x7cdb, 0xe3d0, 0x7cda, 0xe3ca,
0x7cd8, 0xe3c4, 0x7cd7, 0xe3be, 0x7cd5, 0xe3b8, 0x7cd4, 0xe3b2,
0x7cd3, 0xe3ab, 0x7cd1, 0xe3a5, 0x7cd0, 0xe39f, 0x7ccf, 0xe399,
0x7ccd, 0xe393, 0x7ccc, 0xe38d, 0x7cca, 0xe387, 0x7cc9, 0xe381,
0x7cc8, 0xe37a, 0x7cc6, 0xe374, 0x7cc5, 0xe36e, 0x7cc3, 0xe368,
0x7cc2, 0xe362, 0x7cc1, 0xe35c, 0x7cbf, 0xe356, 0x7cbe, 0xe350,
0x7cbc, 0xe349, 0x7cbb, 0xe343, 0x7cb9, 0xe33d, 0x7cb8, 0xe337,
0x7cb7, 0xe331, 0x7cb5, 0xe32b, 0x7cb4, 0xe325, 0x7cb2, 0xe31f,
0x7cb1, 0xe318, 0x7cb0, 0xe312, 0x7cae, 0xe30c, 0x7cad, 0xe306,
0x7cab, 0xe300, 0x7caa, 0xe2fa, 0x7ca8, 0xe2f4, 0x7ca7, 0xe2ee,
0x7ca6, 0xe2e8, 0x7ca4, 0xe2e1, 0x7ca3, 0xe2db, 0x7ca1, 0xe2d5,
0x7ca0, 0xe2cf, 0x7c9e, 0xe2c9, 0x7c9d, 0xe2c3, 0x7c9c, 0xe2bd,
0x7c9a, 0xe2b7, 0x7c99, 0xe2b0, 0x7c97, 0xe2aa, 0x7c96, 0xe2a4,
0x7c94, 0xe29e, 0x7c93, 0xe298, 0x7c91, 0xe292, 0x7c90, 0xe28c,
0x7c8f, 0xe286, 0x7c8d, 0xe280, 0x7c8c, 0xe279, 0x7c8a, 0xe273,
0x7c89, 0xe26d, 0x7c87, 0xe267, 0x7c86, 0xe261, 0x7c84, 0xe25b,
0x7c83, 0xe255, 0x7c82, 0xe24f, 0x7c80, 0xe249, 0x7c7f, 0xe242,
0x7c7d, 0xe23c, 0x7c7c, 0xe236, 0x7c7a, 0xe230, 0x7c79, 0xe22a,
0x7c77, 0xe224, 0x7c76, 0xe21e, 0x7c74, 0xe218, 0x7c73, 0xe212,
0x7c71, 0xe20b, 0x7c70, 0xe205, 0x7c6e, 0xe1ff, 0x7c6d, 0xe1f9,
0x7c6c, 0xe1f3, 0x7c6a, 0xe1ed, 0x7c69, 0xe1e7, 0x7c67, 0xe1e1,
0x7c66, 0xe1db, 0x7c64, 0xe1d4, 0x7c63, 0xe1ce, 0x7c61, 0xe1c8,
0x7c60, 0xe1c2, 0x7c5e, 0xe1bc, 0x7c5d, 0xe1b6, 0x7c5b, 0xe1b0,
0x7c5a, 0xe1aa, 0x7c58, 0xe1a4, 0x7c57, 0xe19e, 0x7c55, 0xe197,
0x7c54, 0xe191, 0x7c52, 0xe18b, 0x7c51, 0xe185, 0x7c4f, 0xe17f,
0x7c4e, 0xe179, 0x7c4c, 0xe173, 0x7c4b, 0xe16d, 0x7c49, 0xe167,
0x7c48, 0xe160, 0x7c46, 0xe15a, 0x7c45, 0xe154, 0x7c43, 0xe14e,
0x7c42, 0xe148, 0x7c40, 0xe142, 0x7c3f, 0xe13c, 0x7c3d, 0xe136,
0x7c3c, 0xe130, 0x7c3a, 0xe12a, 0x7c39, 0xe123, 0x7c37, 0xe11d,
0x7c36, 0xe117, 0x7c34, 0xe111, 0x7c33, 0xe10b, 0x7c31, 0xe105,
0x7c30, 0xe0ff, 0x7c2e, 0xe0f9, 0x7c2d, 0xe0f3, 0x7c2b, 0xe0ed,
0x7c29, 0xe0e7, 0x7c28, 0xe0e0, 0x7c26, 0xe0da, 0x7c25, 0xe0d4,
0x7c23, 0xe0ce, 0x7c22, 0xe0c8, 0x7c20, 0xe0c2, 0x7c1f, 0xe0bc,
0x7c1d, 0xe0b6, 0x7c1c, 0xe0b0, 0x7c1a, 0xe0aa, 0x7c19, 0xe0a3,
0x7c17, 0xe09d, 0x7c16, 0xe097, 0x7c14, 0xe091, 0x7c12, 0xe08b,
0x7c11, 0xe085, 0x7c0f, 0xe07f, 0x7c0e, 0xe079, 0x7c0c, 0xe073,
0x7c0b, 0xe06d, 0x7c09, 0xe067, 0x7c08, 0xe061, 0x7c06, 0xe05a,
0x7c05, 0xe054, 0x7c03, 0xe04e, 0x7c01, 0xe048, 0x7c00, 0xe042,
0x7bfe, 0xe03c, 0x7bfd, 0xe036, 0x7bfb, 0xe030, 0x7bfa, 0xe02a,
0x7bf8, 0xe024, 0x7bf6, 0xe01e, 0x7bf5, 0xe017, 0x7bf3, 0xe011,
0x7bf2, 0xe00b, 0x7bf0, 0xe005, 0x7bef, 0xdfff, 0x7bed, 0xdff9,
0x7beb, 0xdff3, 0x7bea, 0xdfed, 0x7be8, 0xdfe7, 0x7be7, 0xdfe1,
0x7be5, 0xdfdb, 0x7be4, 0xdfd5, 0x7be2, 0xdfce, 0x7be0, 0xdfc8,
0x7bdf, 0xdfc2, 0x7bdd, 0xdfbc, 0x7bdc, 0xdfb6, 0x7bda, 0xdfb0,
0x7bd9, 0xdfaa, 0x7bd7, 0xdfa4, 0x7bd5, 0xdf9e, 0x7bd4, 0xdf98,
0x7bd2, 0xdf92, 0x7bd1, 0xdf8c, 0x7bcf, 0xdf86, 0x7bcd, 0xdf7f,
0x7bcc, 0xdf79, 0x7bca, 0xdf73, 0x7bc9, 0xdf6d, 0x7bc7, 0xdf67,
0x7bc5, 0xdf61, 0x7bc4, 0xdf5b, 0x7bc2, 0xdf55, 0x7bc1, 0xdf4f,
0x7bbf, 0xdf49, 0x7bbd, 0xdf43, 0x7bbc, 0xdf3d, 0x7bba, 0xdf37,
0x7bb9, 0xdf30, 0x7bb7, 0xdf2a, 0x7bb5, 0xdf24, 0x7bb4, 0xdf1e,
0x7bb2, 0xdf18, 0x7bb0, 0xdf12, 0x7baf, 0xdf0c, 0x7bad, 0xdf06,
0x7bac, 0xdf00, 0x7baa, 0xdefa, 0x7ba8, 0xdef4, 0x7ba7, 0xdeee,
0x7ba5, 0xdee8, 0x7ba3, 0xdee2, 0x7ba2, 0xdedb, 0x7ba0, 0xded5,
0x7b9f, 0xdecf, 0x7b9d, 0xdec9, 0x7b9b, 0xdec3, 0x7b9a, 0xdebd,
0x7b98, 0xdeb7, 0x7b96, 0xdeb1, 0x7b95, 0xdeab, 0x7b93, 0xdea5,
0x7b92, 0xde9f, 0x7b90, 0xde99, 0x7b8e, 0xde93, 0x7b8d, 0xde8d,
0x7b8b, 0xde87, 0x7b89, 0xde80, 0x7b88, 0xde7a, 0x7b86, 0xde74,
0x7b84, 0xde6e, 0x7b83, 0xde68, 0x7b81, 0xde62, 0x7b7f, 0xde5c,
0x7b7e, 0xde56, 0x7b7c, 0xde50, 0x7b7a, 0xde4a, 0x7b79, 0xde44,
0x7b77, 0xde3e, 0x7b76, 0xde38, 0x7b74, 0xde32, 0x7b72, 0xde2c,
0x7b71, 0xde26, 0x7b6f, 0xde1f, 0x7b6d, 0xde19, 0x7b6c, 0xde13,
0x7b6a, 0xde0d, 0x7b68, 0xde07, 0x7b67, 0xde01, 0x7b65, 0xddfb,
0x7b63, 0xddf5, 0x7b62, 0xddef, 0x7b60, 0xdde9, 0x7b5e, 0xdde3,
0x7b5d, 0xdddd, 0x7b5b, 0xddd7, 0x7b59, 0xddd1, 0x7b57, 0xddcb,
0x7b56, 0xddc5, 0x7b54, 0xddbf, 0x7b52, 0xddb9, 0x7b51, 0xddb2,
0x7b4f, 0xddac, 0x7b4d, 0xdda6, 0x7b4c, 0xdda0, 0x7b4a, 0xdd9a,
0x7b48, 0xdd94, 0x7b47, 0xdd8e, 0x7b45, 0xdd88, 0x7b43, 0xdd82,
0x7b42, 0xdd7c, 0x7b40, 0xdd76, 0x7b3e, 0xdd70, 0x7b3c, 0xdd6a,
0x7b3b, 0xdd64, 0x7b39, 0xdd5e, 0x7b37, 0xdd58, 0x7b36, 0xdd52,
0x7b34, 0xdd4c, 0x7b32, 0xdd46, 0x7b31, 0xdd40, 0x7b2f, 0xdd39,
0x7b2d, 0xdd33, 0x7b2b, 0xdd2d, 0x7b2a, 0xdd27, 0x7b28, 0xdd21,
0x7b26, 0xdd1b, 0x7b25, 0xdd15, 0x7b23, 0xdd0f, 0x7b21, 0xdd09,
0x7b1f, 0xdd03, 0x7b1e, 0xdcfd, 0x7b1c, 0xdcf7, 0x7b1a, 0xdcf1,
0x7b19, 0xdceb, 0x7b17, 0xdce5, 0x7b15, 0xdcdf, 0x7b13, 0xdcd9,
0x7b12, 0xdcd3, 0x7b10, 0xdccd, 0x7b0e, 0xdcc7, 0x7b0c, 0xdcc1,
0x7b0b, 0xdcbb, 0x7b09, 0xdcb5, 0x7b07, 0xdcae, 0x7b06, 0xdca8,
0x7b04, 0xdca2, 0x7b02, 0xdc9c, 0x7b00, 0xdc96, 0x7aff, 0xdc90,
0x7afd, 0xdc8a, 0x7afb, 0xdc84, 0x7af9, 0xdc7e, 0x7af8, 0xdc78,
0x7af6, 0xdc72, 0x7af4, 0xdc6c, 0x7af2, 0xdc66, 0x7af1, 0xdc60,
0x7aef, 0xdc5a, 0x7aed, 0xdc54, 0x7aeb, 0xdc4e, 0x7aea, 0xdc48,
0x7ae8, 0xdc42, 0x7ae6, 0xdc3c, 0x7ae4, 0xdc36, 0x7ae3, 0xdc30,
0x7ae1, 0xdc2a, 0x7adf, 0xdc24, 0x7add, 0xdc1e, 0x7adc, 0xdc18,
0x7ada, 0xdc12, 0x7ad8, 0xdc0c, 0x7ad6, 0xdc06, 0x7ad5, 0xdbff,
0x7ad3, 0xdbf9, 0x7ad1, 0xdbf3, 0x7acf, 0xdbed, 0x7acd, 0xdbe7,
0x7acc, 0xdbe1, 0x7aca, 0xdbdb, 0x7ac8, 0xdbd5, 0x7ac6, 0xdbcf,
0x7ac5, 0xdbc9, 0x7ac3, 0xdbc3, 0x7ac1, 0xdbbd, 0x7abf, 0xdbb7,
0x7abd, 0xdbb1, 0x7abc, 0xdbab, 0x7aba, 0xdba5, 0x7ab8, 0xdb9f,
0x7ab6, 0xdb99, 0x7ab5, 0xdb93, 0x7ab3, 0xdb8d, 0x7ab1, 0xdb87,
0x7aaf, 0xdb81, 0x7aad, 0xdb7b, 0x7aac, 0xdb75, 0x7aaa, 0xdb6f,
0x7aa8, 0xdb69, 0x7aa6, 0xdb63, 0x7aa4, 0xdb5d, 0x7aa3, 0xdb57,
0x7aa1, 0xdb51, 0x7a9f, 0xdb4b, 0x7a9d, 0xdb45, 0x7a9b, 0xdb3f,
0x7a9a, 0xdb39, 0x7a98, 0xdb33, 0x7a96, 0xdb2d, 0x7a94, 0xdb27,
0x7a92, 0xdb21, 0x7a91, 0xdb1b, 0x7a8f, 0xdb15, 0x7a8d, 0xdb0f,
0x7a8b, 0xdb09, 0x7a89, 0xdb03, 0x7a87, 0xdafd, 0x7a86, 0xdaf7,
0x7a84, 0xdaf1, 0x7a82, 0xdaea, 0x7a80, 0xdae4, 0x7a7e, 0xdade,
0x7a7d, 0xdad8, 0x7a7b, 0xdad2, 0x7a79, 0xdacc, 0x7a77, 0xdac6,
0x7a75, 0xdac0, 0x7a73, 0xdaba, 0x7a72, 0xdab4, 0x7a70, 0xdaae,
0x7a6e, 0xdaa8, 0x7a6c, 0xdaa2, 0x7a6a, 0xda9c, 0x7a68, 0xda96,
0x7a67, 0xda90, 0x7a65, 0xda8a, 0x7a63, 0xda84, 0x7a61, 0xda7e,
0x7a5f, 0xda78, 0x7a5d, 0xda72, 0x7a5c, 0xda6c, 0x7a5a, 0xda66,
0x7a58, 0xda60, 0x7a56, 0xda5a, 0x7a54, 0xda54, 0x7a52, 0xda4e,
0x7a50, 0xda48, 0x7a4f, 0xda42, 0x7a4d, 0xda3c, 0x7a4b, 0xda36,
0x7a49, 0xda30, 0x7a47, 0xda2a, 0x7a45, 0xda24, 0x7a43, 0xda1e,
0x7a42, 0xda18, 0x7a40, 0xda12, 0x7a3e, 0xda0c, 0x7a3c, 0xda06,
0x7a3a, 0xda00, 0x7a38, 0xd9fa, 0x7a36, 0xd9f4, 0x7a35, 0xd9ee,
0x7a33, 0xd9e8, 0x7a31, 0xd9e2, 0x7a2f, 0xd9dc, 0x7a2d, 0xd9d6,
0x7a2b, 0xd9d0, 0x7a29, 0xd9ca, 0x7a27, 0xd9c4, 0x7a26, 0xd9be,
0x7a24, 0xd9b8, 0x7a22, 0xd9b2, 0x7a20, 0xd9ac, 0x7a1e, 0xd9a6,
0x7a1c, 0xd9a0, 0x7a1a, 0xd99a, 0x7a18, 0xd994, 0x7a16, 0xd98e,
0x7a15, 0xd988, 0x7a13, 0xd982, 0x7a11, 0xd97c, 0x7a0f, 0xd976,
0x7a0d, 0xd970, 0x7a0b, 0xd96a, 0x7a09, 0xd964, 0x7a07, 0xd95e,
0x7a05, 0xd958, 0x7a04, 0xd952, 0x7a02, 0xd94c, 0x7a00, 0xd946,
0x79fe, 0xd940, 0x79fc, 0xd93a, 0x79fa, 0xd934, 0x79f8, 0xd92e,
0x79f6, 0xd928, 0x79f4, 0xd922, 0x79f2, 0xd91c, 0x79f0, 0xd917,
0x79ef, 0xd911, 0x79ed, 0xd90b, 0x79eb, 0xd905, 0x79e9, 0xd8ff,
0x79e7, 0xd8f9, 0x79e5, 0xd8f3, 0x79e3, 0xd8ed, 0x79e1, 0xd8e7,
0x79df, 0xd8e1, 0x79dd, 0xd8db, 0x79db, 0xd8d5, 0x79d9, 0xd8cf,
0x79d8, 0xd8c9, 0x79d6, 0xd8c3, 0x79d4, 0xd8bd, 0x79d2, 0xd8b7,
0x79d0, 0xd8b1, 0x79ce, 0xd8ab, 0x79cc, 0xd8a5, 0x79ca, 0xd89f,
0x79c8, 0xd899, 0x79c6, 0xd893, 0x79c4, 0xd88d, 0x79c2, 0xd887,
0x79c0, 0xd881, 0x79be, 0xd87b, 0x79bc, 0xd875, 0x79bb, 0xd86f,
0x79b9, 0xd869, 0x79b7, 0xd863, 0x79b5, 0xd85d, 0x79b3, 0xd857,
0x79b1, 0xd851, 0x79af, 0xd84b, 0x79ad, 0xd845, 0x79ab, 0xd83f,
0x79a9, 0xd839, 0x79a7, 0xd833, 0x79a5, 0xd82d, 0x79a3, 0xd827,
0x79a1, 0xd821, 0x799f, 0xd81b, 0x799d, 0xd815, 0x799b, 0xd80f,
0x7999, 0xd80a, 0x7997, 0xd804, 0x7995, 0xd7fe, 0x7993, 0xd7f8,
0x7992, 0xd7f2, 0x7990, 0xd7ec, 0x798e, 0xd7e6, 0x798c, 0xd7e0,
0x798a, 0xd7da, 0x7988, 0xd7d4, 0x7986, 0xd7ce, 0x7984, 0xd7c8,
0x7982, 0xd7c2, 0x7980, 0xd7bc, 0x797e, 0xd7b6, 0x797c, 0xd7b0,
0x797a, 0xd7aa, 0x7978, 0xd7a4, 0x7976, 0xd79e, 0x7974, 0xd798,
0x7972, 0xd792, 0x7970, 0xd78c, 0x796e, 0xd786, 0x796c, 0xd780,
0x796a, 0xd77a, 0x7968, 0xd774, 0x7966, 0xd76e, 0x7964, 0xd768,
0x7962, 0xd763, 0x7960, 0xd75d, 0x795e, 0xd757, 0x795c, 0xd751,
0x795a, 0xd74b, 0x7958, 0xd745, 0x7956, 0xd73f, 0x7954, 0xd739,
0x7952, 0xd733, 0x7950, 0xd72d, 0x794e, 0xd727, 0x794c, 0xd721,
0x794a, 0xd71b, 0x7948, 0xd715, 0x7946, 0xd70f, 0x7944, 0xd709,
0x7942, 0xd703, 0x7940, 0xd6fd, 0x793e, 0xd6f7, 0x793c, 0xd6f1,
0x793a, 0xd6eb, 0x7938, 0xd6e5, 0x7936, 0xd6e0, 0x7934, 0xd6da,
0x7932, 0xd6d4, 0x7930, 0xd6ce, 0x792e, 0xd6c8, 0x792c, 0xd6c2,
0x792a, 0xd6bc, 0x7928, 0xd6b6, 0x7926, 0xd6b0, 0x7924, 0xd6aa,
0x7922, 0xd6a4, 0x7920, 0xd69e, 0x791e, 0xd698, 0x791c, 0xd692,
0x7919, 0xd68c, 0x7917, 0xd686, 0x7915, 0xd680, 0x7913, 0xd67a,
0x7911, 0xd675, 0x790f, 0xd66f, 0x790d, 0xd669, 0x790b, 0xd663,
0x7909, 0xd65d, 0x7907, 0xd657, 0x7905, 0xd651, 0x7903, 0xd64b,
0x7901, 0xd645, 0x78ff, 0xd63f, 0x78fd, 0xd639, 0x78fb, 0xd633,
0x78f9, 0xd62d, 0x78f7, 0xd627, 0x78f5, 0xd621, 0x78f3, 0xd61b,
0x78f1, 0xd615, 0x78ee, 0xd610, 0x78ec, 0xd60a, 0x78ea, 0xd604,
0x78e8, 0xd5fe, 0x78e6, 0xd5f8, 0x78e4, 0xd5f2, 0x78e2, 0xd5ec,
0x78e0, 0xd5e6, 0x78de, 0xd5e0, 0x78dc, 0xd5da, 0x78da, 0xd5d4,
0x78d8, 0xd5ce, 0x78d6, 0xd5c8, 0x78d4, 0xd5c2, 0x78d2, 0xd5bc,
0x78cf, 0xd5b7, 0x78cd, 0xd5b1, 0x78cb, 0xd5ab, 0x78c9, 0xd5a5,
0x78c7, 0xd59f, 0x78c5, 0xd599, 0x78c3, 0xd593, 0x78c1, 0xd58d,
0x78bf, 0xd587, 0x78bd, 0xd581, 0x78bb, 0xd57b, 0x78b9, 0xd575,
0x78b6, 0xd56f, 0x78b4, 0xd569, 0x78b2, 0xd564, 0x78b0, 0xd55e,
0x78ae, 0xd558, 0x78ac, 0xd552, 0x78aa, 0xd54c, 0x78a8, 0xd546,
0x78a6, 0xd540, 0x78a4, 0xd53a, 0x78a2, 0xd534, 0x789f, 0xd52e,
0x789d, 0xd528, 0x789b, 0xd522, 0x7899, 0xd51c, 0x7897, 0xd517,
0x7895, 0xd511, 0x7893, 0xd50b, 0x7891, 0xd505, 0x788f, 0xd4ff,
0x788c, 0xd4f9, 0x788a, 0xd4f3, 0x7888, 0xd4ed, 0x7886, 0xd4e7,
0x7884, 0xd4e1, 0x7882, 0xd4db, 0x7880, 0xd4d5, 0x787e, 0xd4d0,
0x787c, 0xd4ca, 0x7879, 0xd4c4, 0x7877, 0xd4be, 0x7875, 0xd4b8,
0x7873, 0xd4b2, 0x7871, 0xd4ac, 0x786f, 0xd4a6, 0x786d, 0xd4a0,
0x786b, 0xd49a, 0x7868, 0xd494, 0x7866, 0xd48f, 0x7864, 0xd489,
0x7862, 0xd483, 0x7860, 0xd47d, 0x785e, 0xd477, 0x785c, 0xd471,
0x7859, 0xd46b, 0x7857, 0xd465, 0x7855, 0xd45f, 0x7853, 0xd459,
0x7851, 0xd453, 0x784f, 0xd44e, 0x784d, 0xd448, 0x784a, 0xd442,
0x7848, 0xd43c, 0x7846, 0xd436, 0x7844, 0xd430, 0x7842, 0xd42a,
0x7840, 0xd424, 0x783e, 0xd41e, 0x783b, 0xd418, 0x7839, 0xd412,
0x7837, 0xd40d, 0x7835, 0xd407, 0x7833, 0xd401, 0x7831, 0xd3fb,
0x782e, 0xd3f5, 0x782c, 0xd3ef, 0x782a, 0xd3e9, 0x7828, 0xd3e3,
0x7826, 0xd3dd, 0x7824, 0xd3d7, 0x7821, 0xd3d2, 0x781f, 0xd3cc,
0x781d, 0xd3c6, 0x781b, 0xd3c0, 0x7819, 0xd3ba, 0x7817, 0xd3b4,
0x7814, 0xd3ae, 0x7812, 0xd3a8, 0x7810, 0xd3a2, 0x780e, 0xd39d,
0x780c, 0xd397, 0x780a, 0xd391, 0x7807, 0xd38b, 0x7805, 0xd385,
0x7803, 0xd37f, 0x7801, 0xd379, 0x77ff, 0xd373, 0x77fc, 0xd36d,
0x77fa, 0xd368, 0x77f8, 0xd362, 0x77f6, 0xd35c, 0x77f4, 0xd356,
0x77f1, 0xd350, 0x77ef, 0xd34a, 0x77ed, 0xd344, 0x77eb, 0xd33e,
0x77e9, 0xd338, 0x77e6, 0xd333, 0x77e4, 0xd32d, 0x77e2, 0xd327,
0x77e0, 0xd321, 0x77de, 0xd31b, 0x77db, 0xd315, 0x77d9, 0xd30f,
0x77d7, 0xd309, 0x77d5, 0xd303, 0x77d3, 0xd2fe, 0x77d0, 0xd2f8,
0x77ce, 0xd2f2, 0x77cc, 0xd2ec, 0x77ca, 0xd2e6, 0x77c8, 0xd2e0,
0x77c5, 0xd2da, 0x77c3, 0xd2d4, 0x77c1, 0xd2cf, 0x77bf, 0xd2c9,
0x77bc, 0xd2c3, 0x77ba, 0xd2bd, 0x77b8, 0xd2b7, 0x77b6, 0xd2b1,
0x77b4, 0xd2ab, 0x77b1, 0xd2a5, 0x77af, 0xd2a0, 0x77ad, 0xd29a,
0x77ab, 0xd294, 0x77a8, 0xd28e, 0x77a6, 0xd288, 0x77a4, 0xd282,
0x77a2, 0xd27c, 0x77a0, 0xd276, 0x779d, 0xd271, 0x779b, 0xd26b,
0x7799, 0xd265, 0x7797, 0xd25f, 0x7794, 0xd259, 0x7792, 0xd253,
0x7790, 0xd24d, 0x778e, 0xd247, 0x778b, 0xd242, 0x7789, 0xd23c,
0x7787, 0xd236, 0x7785, 0xd230, 0x7782, 0xd22a, 0x7780, 0xd224,
0x777e, 0xd21e, 0x777c, 0xd219, 0x7779, 0xd213, 0x7777, 0xd20d,
0x7775, 0xd207, 0x7773, 0xd201, 0x7770, 0xd1fb, 0x776e, 0xd1f5,
0x776c, 0xd1ef, 0x776a, 0xd1ea, 0x7767, 0xd1e4, 0x7765, 0xd1de,
0x7763, 0xd1d8, 0x7760, 0xd1d2, 0x775e, 0xd1cc, 0x775c, 0xd1c6,
0x775a, 0xd1c1, 0x7757, 0xd1bb, 0x7755, 0xd1b5, 0x7753, 0xd1af,
0x7751, 0xd1a9, 0x774e, 0xd1a3, 0x774c, 0xd19d, 0x774a, 0xd198,
0x7747, 0xd192, 0x7745, 0xd18c, 0x7743, 0xd186, 0x7741, 0xd180,
0x773e, 0xd17a, 0x773c, 0xd174, 0x773a, 0xd16f, 0x7738, 0xd169,
0x7735, 0xd163, 0x7733, 0xd15d, 0x7731, 0xd157, 0x772e, 0xd151,
0x772c, 0xd14b, 0x772a, 0xd146, 0x7727, 0xd140, 0x7725, 0xd13a,
0x7723, 0xd134, 0x7721, 0xd12e, 0x771e, 0xd128, 0x771c, 0xd123,
0x771a, 0xd11d, 0x7717, 0xd117, 0x7715, 0xd111, 0x7713, 0xd10b,
0x7710, 0xd105, 0x770e, 0xd0ff, 0x770c, 0xd0fa, 0x770a, 0xd0f4,
0x7707, 0xd0ee, 0x7705, 0xd0e8, 0x7703, 0xd0e2, 0x7700, 0xd0dc,
0x76fe, 0xd0d7, 0x76fc, 0xd0d1, 0x76f9, 0xd0cb, 0x76f7, 0xd0c5,
0x76f5, 0xd0bf, 0x76f2, 0xd0b9, 0x76f0, 0xd0b4, 0x76ee, 0xd0ae,
0x76eb, 0xd0a8, 0x76e9, 0xd0a2, 0x76e7, 0xd09c, 0x76e4, 0xd096,
0x76e2, 0xd091, 0x76e0, 0xd08b, 0x76dd, 0xd085, 0x76db, 0xd07f,
0x76d9, 0xd079, 0x76d6, 0xd073, 0x76d4, 0xd06e, 0x76d2, 0xd068,
0x76cf, 0xd062, 0x76cd, 0xd05c, 0x76cb, 0xd056, 0x76c8, 0xd050,
0x76c6, 0xd04b, 0x76c4, 0xd045, 0x76c1, 0xd03f, 0x76bf, 0xd039,
0x76bd, 0xd033, 0x76ba, 0xd02d, 0x76b8, 0xd028, 0x76b6, 0xd022,
0x76b3, 0xd01c, 0x76b1, 0xd016, 0x76af, 0xd010, 0x76ac, 0xd00a,
0x76aa, 0xd005, 0x76a8, 0xcfff, 0x76a5, 0xcff9, 0x76a3, 0xcff3,
0x76a0, 0xcfed, 0x769e, 0xcfe7, 0x769c, 0xcfe2, 0x7699, 0xcfdc,
0x7697, 0xcfd6, 0x7695, 0xcfd0, 0x7692, 0xcfca, 0x7690, 0xcfc5,
0x768e, 0xcfbf, 0x768b, 0xcfb9, 0x7689, 0xcfb3, 0x7686, 0xcfad,
0x7684, 0xcfa7, 0x7682, 0xcfa2, 0x767f, 0xcf9c, 0x767d, 0xcf96,
0x767b, 0xcf90, 0x7678, 0xcf8a, 0x7676, 0xcf85, 0x7673, 0xcf7f,
0x7671, 0xcf79, 0x766f, 0xcf73, 0x766c, 0xcf6d, 0x766a, 0xcf67,
0x7668, 0xcf62, 0x7665, 0xcf5c, 0x7663, 0xcf56, 0x7660, 0xcf50,
0x765e, 0xcf4a, 0x765c, 0xcf45, 0x7659, 0xcf3f, 0x7657, 0xcf39,
0x7654, 0xcf33, 0x7652, 0xcf2d, 0x7650, 0xcf28, 0x764d, 0xcf22,
0x764b, 0xcf1c, 0x7648, 0xcf16, 0x7646, 0xcf10, 0x7644, 0xcf0b,
0x7641, 0xcf05, 0x763f, 0xceff, 0x763c, 0xcef9, 0x763a, 0xcef3,
0x7638, 0xceee, 0x7635, 0xcee8, 0x7633, 0xcee2, 0x7630, 0xcedc,
0x762e, 0xced6, 0x762b, 0xced1, 0x7629, 0xcecb, 0x7627, 0xcec5,
0x7624, 0xcebf, 0x7622, 0xceb9, 0x761f, 0xceb4, 0x761d, 0xceae,
0x761b, 0xcea8, 0x7618, 0xcea2, 0x7616, 0xce9c, 0x7613, 0xce97,
0x7611, 0xce91, 0x760e, 0xce8b, 0x760c, 0xce85, 0x760a, 0xce7f,
0x7607, 0xce7a, 0x7605, 0xce74, 0x7602, 0xce6e, 0x7600, 0xce68,
0x75fd, 0xce62, 0x75fb, 0xce5d, 0x75f9, 0xce57, 0x75f6, 0xce51,
0x75f4, 0xce4b, 0x75f1, 0xce45, 0x75ef, 0xce40, 0x75ec, 0xce3a,
0x75ea, 0xce34, 0x75e7, 0xce2e, 0x75e5, 0xce28, 0x75e3, 0xce23,
0x75e0, 0xce1d, 0x75de, 0xce17, 0x75db, 0xce11, 0x75d9, 0xce0c,
0x75d6, 0xce06, 0x75d4, 0xce00, 0x75d1, 0xcdfa, 0x75cf, 0xcdf4,
0x75cc, 0xcdef, 0x75ca, 0xcde9, 0x75c8, 0xcde3, 0x75c5, 0xcddd,
0x75c3, 0xcdd8, 0x75c0, 0xcdd2, 0x75be, 0xcdcc, 0x75bb, 0xcdc6,
0x75b9, 0xcdc0, 0x75b6, 0xcdbb, 0x75b4, 0xcdb5, 0x75b1, 0xcdaf,
0x75af, 0xcda9, 0x75ac, 0xcda3, 0x75aa, 0xcd9e, 0x75a7, 0xcd98,
0x75a5, 0xcd92, 0x75a3, 0xcd8c, 0x75a0, 0xcd87, 0x759e, 0xcd81,
0x759b, 0xcd7b, 0x7599, 0xcd75, 0x7596, 0xcd70, 0x7594, 0xcd6a,
0x7591, 0xcd64, 0x758f, 0xcd5e, 0x758c, 0xcd58, 0x758a, 0xcd53,
0x7587, 0xcd4d, 0x7585, 0xcd47, 0x7582, 0xcd41, 0x7580, 0xcd3c,
0x757d, 0xcd36, 0x757b, 0xcd30, 0x7578, 0xcd2a, 0x7576, 0xcd25,
0x7573, 0xcd1f, 0x7571, 0xcd19, 0x756e, 0xcd13, 0x756c, 0xcd0d,
0x7569, 0xcd08, 0x7567, 0xcd02, 0x7564, 0xccfc, 0x7562, 0xccf6,
0x755f, 0xccf1, 0x755d, 0xcceb, 0x755a, 0xcce5, 0x7558, 0xccdf,
0x7555, 0xccda, 0x7553, 0xccd4, 0x7550, 0xccce, 0x754e, 0xccc8,
0x754b, 0xccc3, 0x7549, 0xccbd, 0x7546, 0xccb7, 0x7544, 0xccb1,
0x7541, 0xccac, 0x753f, 0xcca6, 0x753c, 0xcca0, 0x753a, 0xcc9a,
0x7537, 0xcc95, 0x7535, 0xcc8f, 0x7532, 0xcc89, 0x752f, 0xcc83,
0x752d, 0xcc7e, 0x752a, 0xcc78, 0x7528, 0xcc72, 0x7525, 0xcc6c,
0x7523, 0xcc67, 0x7520, 0xcc61, 0x751e, 0xcc5b, 0x751b, 0xcc55,
0x7519, 0xcc50, 0x7516, 0xcc4a, 0x7514, 0xcc44, 0x7511, 0xcc3e,
0x750f, 0xcc39, 0x750c, 0xcc33, 0x7509, 0xcc2d, 0x7507, 0xcc27,
0x7504, 0xcc22, 0x7502, 0xcc1c, 0x74ff, 0xcc16, 0x74fd, 0xcc10,
0x74fa, 0xcc0b, 0x74f8, 0xcc05, 0x74f5, 0xcbff, 0x74f2, 0xcbf9,
0x74f0, 0xcbf4, 0x74ed, 0xcbee, 0x74eb, 0xcbe8, 0x74e8, 0xcbe2,
0x74e6, 0xcbdd, 0x74e3, 0xcbd7, 0x74e1, 0xcbd1, 0x74de, 0xcbcb,
0x74db, 0xcbc6, 0x74d9, 0xcbc0, 0x74d6, 0xcbba, 0x74d4, 0xcbb5,
0x74d1, 0xcbaf, 0x74cf, 0xcba9, 0x74cc, 0xcba3, 0x74c9, 0xcb9e,
0x74c7, 0xcb98, 0x74c4, 0xcb92, 0x74c2, 0xcb8c, 0x74bf, 0xcb87,
0x74bd, 0xcb81, 0x74ba, 0xcb7b, 0x74b7, 0xcb75, 0x74b5, 0xcb70,
0x74b2, 0xcb6a, 0x74b0, 0xcb64, 0x74ad, 0xcb5f, 0x74ab, 0xcb59,
0x74a8, 0xcb53, 0x74a5, 0xcb4d, 0x74a3, 0xcb48, 0x74a0, 0xcb42,
0x749e, 0xcb3c, 0x749b, 0xcb36, 0x7498, 0xcb31, 0x7496, 0xcb2b,
0x7493, 0xcb25, 0x7491, 0xcb20, 0x748e, 0xcb1a, 0x748b, 0xcb14,
0x7489, 0xcb0e, 0x7486, 0xcb09, 0x7484, 0xcb03, 0x7481, 0xcafd,
0x747e, 0xcaf8, 0x747c, 0xcaf2, 0x7479, 0xcaec, 0x7477, 0xcae6,
0x7474, 0xcae1, 0x7471, 0xcadb, 0x746f, 0xcad5, 0x746c, 0xcad0,
0x746a, 0xcaca, 0x7467, 0xcac4, 0x7464, 0xcabe, 0x7462, 0xcab9,
0x745f, 0xcab3, 0x745c, 0xcaad, 0x745a, 0xcaa8, 0x7457, 0xcaa2,
0x7455, 0xca9c, 0x7452, 0xca96, 0x744f, 0xca91, 0x744d, 0xca8b,
0x744a, 0xca85, 0x7448, 0xca80, 0x7445, 0xca7a, 0x7442, 0xca74,
0x7440, 0xca6e, 0x743d, 0xca69, 0x743a, 0xca63, 0x7438, 0xca5d,
0x7435, 0xca58, 0x7432, 0xca52, 0x7430, 0xca4c, 0x742d, 0xca46,
0x742b, 0xca41, 0x7428, 0xca3b, 0x7425, 0xca35, 0x7423, 0xca30,
0x7420, 0xca2a, 0x741d, 0xca24, 0x741b, 0xca1f, 0x7418, 0xca19,
0x7415, 0xca13, 0x7413, 0xca0d, 0x7410, 0xca08, 0x740d, 0xca02,
0x740b, 0xc9fc, 0x7408, 0xc9f7, 0x7406, 0xc9f1, 0x7403, 0xc9eb,
0x7400, 0xc9e6, 0x73fe, 0xc9e0, 0x73fb, 0xc9da, 0x73f8, 0xc9d5,
0x73f6, 0xc9cf, 0x73f3, 0xc9c9, 0x73f0, 0xc9c3, 0x73ee, 0xc9be,
0x73eb, 0xc9b8, 0x73e8, 0xc9b2, 0x73e6, 0xc9ad, 0x73e3, 0xc9a7,
0x73e0, 0xc9a1, 0x73de, 0xc99c, 0x73db, 0xc996, 0x73d8, 0xc990,
0x73d6, 0xc98b, 0x73d3, 0xc985, 0x73d0, 0xc97f, 0x73ce, 0xc97a,
0x73cb, 0xc974, 0x73c8, 0xc96e, 0x73c6, 0xc968, 0x73c3, 0xc963,
0x73c0, 0xc95d, 0x73bd, 0xc957, 0x73bb, 0xc952, 0x73b8, 0xc94c,
0x73b5, 0xc946, 0x73b3, 0xc941, 0x73b0, 0xc93b, 0x73ad, 0xc935,
0x73ab, 0xc930, 0x73a8, 0xc92a, 0x73a5, 0xc924, 0x73a3, 0xc91f,
0x73a0, 0xc919, 0x739d, 0xc913, 0x739b, 0xc90e, 0x7398, 0xc908,
0x7395, 0xc902, 0x7392, 0xc8fd, 0x7390, 0xc8f7, 0x738d, 0xc8f1,
0x738a, 0xc8ec, 0x7388, 0xc8e6, 0x7385, 0xc8e0, 0x7382, 0xc8db,
0x737f, 0xc8d5, 0x737d, 0xc8cf, 0x737a, 0xc8ca, 0x7377, 0xc8c4,
0x7375, 0xc8be, 0x7372, 0xc8b9, 0x736f, 0xc8b3, 0x736c, 0xc8ad,
0x736a, 0xc8a8, 0x7367, 0xc8a2, 0x7364, 0xc89c, 0x7362, 0xc897,
0x735f, 0xc891, 0x735c, 0xc88b, 0x7359, 0xc886, 0x7357, 0xc880,
0x7354, 0xc87a, 0x7351, 0xc875, 0x734f, 0xc86f, 0x734c, 0xc869,
0x7349, 0xc864, 0x7346, 0xc85e, 0x7344, 0xc858, 0x7341, 0xc853,
0x733e, 0xc84d, 0x733b, 0xc847, 0x7339, 0xc842, 0x7336, 0xc83c,
0x7333, 0xc836, 0x7330, 0xc831, 0x732e, 0xc82b, 0x732b, 0xc825,
0x7328, 0xc820, 0x7326, 0xc81a, 0x7323, 0xc814, 0x7320, 0xc80f,
0x731d, 0xc809, 0x731b, 0xc803, 0x7318, 0xc7fe, 0x7315, 0xc7f8,
0x7312, 0xc7f3, 0x7310, 0xc7ed, 0x730d, 0xc7e7, 0x730a, 0xc7e2,
0x7307, 0xc7dc, 0x7305, 0xc7d6, 0x7302, 0xc7d1, 0x72ff, 0xc7cb,
0x72fc, 0xc7c5, 0x72f9, 0xc7c0, 0x72f7, 0xc7ba, 0x72f4, 0xc7b4,
0x72f1, 0xc7af, 0x72ee, 0xc7a9, 0x72ec, 0xc7a3, 0x72e9, 0xc79e,
0x72e6, 0xc798, 0x72e3, 0xc793, 0x72e1, 0xc78d, 0x72de, 0xc787,
0x72db, 0xc782, 0x72d8, 0xc77c, 0x72d5, 0xc776, 0x72d3, 0xc771,
0x72d0, 0xc76b, 0x72cd, 0xc765, 0x72ca, 0xc760, 0x72c8, 0xc75a,
0x72c5, 0xc755, 0x72c2, 0xc74f, 0x72bf, 0xc749, 0x72bc, 0xc744,
0x72ba, 0xc73e, 0x72b7, 0xc738, 0x72b4, 0xc733, 0x72b1, 0xc72d,
0x72af, 0xc728, 0x72ac, 0xc722, 0x72a9, 0xc71c, 0x72a6, 0xc717,
0x72a3, 0xc711, 0x72a1, 0xc70b, 0x729e, 0xc706, 0x729b, 0xc700,
0x7298, 0xc6fa, 0x7295, 0xc6f5, 0x7293, 0xc6ef, 0x7290, 0xc6ea,
0x728d, 0xc6e4, 0x728a, 0xc6de, 0x7287, 0xc6d9, 0x7285, 0xc6d3,
0x7282, 0xc6ce, 0x727f, 0xc6c8, 0x727c, 0xc6c2, 0x7279, 0xc6bd,
0x7276, 0xc6b7, 0x7274, 0xc6b1, 0x7271, 0xc6ac, 0x726e, 0xc6a6,
0x726b, 0xc6a1, 0x7268, 0xc69b, 0x7266, 0xc695, 0x7263, 0xc690,
0x7260, 0xc68a, 0x725d, 0xc684, 0x725a, 0xc67f, 0x7257, 0xc679,
0x7255, 0xc674, 0x7252, 0xc66e, 0x724f, 0xc668, 0x724c, 0xc663,
0x7249, 0xc65d, 0x7247, 0xc658, 0x7244, 0xc652, 0x7241, 0xc64c,
0x723e, 0xc647, 0x723b, 0xc641, 0x7238, 0xc63c, 0x7236, 0xc636,
0x7233, 0xc630, 0x7230, 0xc62b, 0x722d, 0xc625, 0x722a, 0xc620,
0x7227, 0xc61a, 0x7224, 0xc614, 0x7222, 0xc60f, 0x721f, 0xc609,
0x721c, 0xc603, 0x7219, 0xc5fe, 0x7216, 0xc5f8, 0x7213, 0xc5f3,
0x7211, 0xc5ed, 0x720e, 0xc5e7, 0x720b, 0xc5e2, 0x7208, 0xc5dc,
0x7205, 0xc5d7, 0x7202, 0xc5d1, 0x71ff, 0xc5cc, 0x71fd, 0xc5c6,
0x71fa, 0xc5c0, 0x71f7, 0xc5bb, 0x71f4, 0xc5b5, 0x71f1, 0xc5b0,
0x71ee, 0xc5aa, 0x71eb, 0xc5a4, 0x71e9, 0xc59f, 0x71e6, 0xc599,
0x71e3, 0xc594, 0x71e0, 0xc58e, 0x71dd, 0xc588, 0x71da, 0xc583,
0x71d7, 0xc57d, 0x71d4, 0xc578, 0x71d2, 0xc572, 0x71cf, 0xc56c,
0x71cc, 0xc567, 0x71c9, 0xc561, 0x71c6, 0xc55c, 0x71c3, 0xc556,
0x71c0, 0xc551, 0x71bd, 0xc54b, 0x71bb, 0xc545, 0x71b8, 0xc540,
0x71b5, 0xc53a, 0x71b2, 0xc535, 0x71af, 0xc52f, 0x71ac, 0xc529,
0x71a9, 0xc524, 0x71a6, 0xc51e, 0x71a3, 0xc519, 0x71a1, 0xc513,
0x719e, 0xc50e, 0x719b, 0xc508, 0x7198, 0xc502, 0x7195, 0xc4fd,
0x7192, 0xc4f7, 0x718f, 0xc4f2, 0x718c, 0xc4ec, 0x7189, 0xc4e7,
0x7186, 0xc4e1, 0x7184, 0xc4db, 0x7181, 0xc4d6, 0x717e, 0xc4d0,
0x717b, 0xc4cb, 0x7178, 0xc4c5, 0x7175, 0xc4c0, 0x7172, 0xc4ba,
0x716f, 0xc4b4, 0x716c, 0xc4af, 0x7169, 0xc4a9, 0x7167, 0xc4a4,
0x7164, 0xc49e, 0x7161, 0xc499, 0x715e, 0xc493, 0x715b, 0xc48d,
0x7158, 0xc488, 0x7155, 0xc482, 0x7152, 0xc47d, 0x714f, 0xc477,
0x714c, 0xc472, 0x7149, 0xc46c, 0x7146, 0xc467, 0x7143, 0xc461,
0x7141, 0xc45b, 0x713e, 0xc456, 0x713b, 0xc450, 0x7138, 0xc44b,
0x7135, 0xc445, 0x7132, 0xc440, 0x712f, 0xc43a, 0x712c, 0xc434,
0x7129, 0xc42f, 0x7126, 0xc429, 0x7123, 0xc424, 0x7120, 0xc41e,
0x711d, 0xc419, 0x711a, 0xc413, 0x7117, 0xc40e, 0x7114, 0xc408,
0x7112, 0xc403, 0x710f, 0xc3fd, 0x710c, 0xc3f7, 0x7109, 0xc3f2,
0x7106, 0xc3ec, 0x7103, 0xc3e7, 0x7100, 0xc3e1, 0x70fd, 0xc3dc,
0x70fa, 0xc3d6, 0x70f7, 0xc3d1, 0x70f4, 0xc3cb, 0x70f1, 0xc3c5,
0x70ee, 0xc3c0, 0x70eb, 0xc3ba, 0x70e8, 0xc3b5, 0x70e5, 0xc3af,
0x70e2, 0xc3aa, 0x70df, 0xc3a4, 0x70dc, 0xc39f, 0x70d9, 0xc399,
0x70d6, 0xc394, 0x70d3, 0xc38e, 0x70d1, 0xc389, 0x70ce, 0xc383,
0x70cb, 0xc37d, 0x70c8, 0xc378, 0x70c5, 0xc372, 0x70c2, 0xc36d,
0x70bf, 0xc367, 0x70bc, 0xc362, 0x70b9, 0xc35c, 0x70b6, 0xc357,
0x70b3, 0xc351, 0x70b0, 0xc34c, 0x70ad, 0xc346, 0x70aa, 0xc341,
0x70a7, 0xc33b, 0x70a4, 0xc336, 0x70a1, 0xc330, 0x709e, 0xc32a,
0x709b, 0xc325, 0x7098, 0xc31f, 0x7095, 0xc31a, 0x7092, 0xc314,
0x708f, 0xc30f, 0x708c, 0xc309, 0x7089, 0xc304, 0x7086, 0xc2fe,
0x7083, 0xc2f9, 0x7080, 0xc2f3, 0x707d, 0xc2ee, 0x707a, 0xc2e8,
0x7077, 0xc2e3, 0x7074, 0xc2dd, 0x7071, 0xc2d8, 0x706e, 0xc2d2,
0x706b, 0xc2cd, 0x7068, 0xc2c7, 0x7065, 0xc2c2, 0x7062, 0xc2bc,
0x705f, 0xc2b7, 0x705c, 0xc2b1, 0x7059, 0xc2ab, 0x7056, 0xc2a6,
0x7053, 0xc2a0, 0x7050, 0xc29b, 0x704d, 0xc295, 0x704a, 0xc290,
0x7047, 0xc28a, 0x7044, 0xc285, 0x7041, 0xc27f, 0x703e, 0xc27a,
0x703b, 0xc274, 0x7038, 0xc26f, 0x7035, 0xc269, 0x7032, 0xc264,
0x702f, 0xc25e, 0x702c, 0xc259, 0x7029, 0xc253, 0x7026, 0xc24e,
0x7023, 0xc248, 0x7020, 0xc243, 0x701d, 0xc23d, 0x7019, 0xc238,
0x7016, 0xc232, 0x7013, 0xc22d, 0x7010, 0xc227, 0x700d, 0xc222,
0x700a, 0xc21c, 0x7007, 0xc217, 0x7004, 0xc211, 0x7001, 0xc20c,
0x6ffe, 0xc206, 0x6ffb, 0xc201, 0x6ff8, 0xc1fb, 0x6ff5, 0xc1f6,
0x6ff2, 0xc1f0, 0x6fef, 0xc1eb, 0x6fec, 0xc1e5, 0x6fe9, 0xc1e0,
0x6fe6, 0xc1da, 0x6fe3, 0xc1d5, 0x6fe0, 0xc1cf, 0x6fdd, 0xc1ca,
0x6fda, 0xc1c4, 0x6fd6, 0xc1bf, 0x6fd3, 0xc1b9, 0x6fd0, 0xc1b4,
0x6fcd, 0xc1ae, 0x6fca, 0xc1a9, 0x6fc7, 0xc1a3, 0x6fc4, 0xc19e,
0x6fc1, 0xc198, 0x6fbe, 0xc193, 0x6fbb, 0xc18d, 0x6fb8, 0xc188,
0x6fb5, 0xc183, 0x6fb2, 0xc17d, 0x6faf, 0xc178, 0x6fac, 0xc172,
0x6fa9, 0xc16d, 0x6fa5, 0xc167, 0x6fa2, 0xc162, 0x6f9f, 0xc15c,
0x6f9c, 0xc157, 0x6f99, 0xc151, 0x6f96, 0xc14c, 0x6f93, 0xc146,
0x6f90, 0xc141, 0x6f8d, 0xc13b, 0x6f8a, 0xc136, 0x6f87, 0xc130,
0x6f84, 0xc12b, 0x6f81, 0xc125, 0x6f7d, 0xc120, 0x6f7a, 0xc11a,
0x6f77, 0xc115, 0x6f74, 0xc10f, 0x6f71, 0xc10a, 0x6f6e, 0xc105,
0x6f6b, 0xc0ff, 0x6f68, 0xc0fa, 0x6f65, 0xc0f4, 0x6f62, 0xc0ef,
0x6f5f, 0xc0e9, 0x6f5b, 0xc0e4, 0x6f58, 0xc0de, 0x6f55, 0xc0d9,
0x6f52, 0xc0d3, 0x6f4f, 0xc0ce, 0x6f4c, 0xc0c8, 0x6f49, 0xc0c3,
0x6f46, 0xc0bd, 0x6f43, 0xc0b8, 0x6f3f, 0xc0b3, 0x6f3c, 0xc0ad,
0x6f39, 0xc0a8, 0x6f36, 0xc0a2, 0x6f33, 0xc09d, 0x6f30, 0xc097,
0x6f2d, 0xc092, 0x6f2a, 0xc08c, 0x6f27, 0xc087, 0x6f23, 0xc081,
0x6f20, 0xc07c, 0x6f1d, 0xc077, 0x6f1a, 0xc071, 0x6f17, 0xc06c,
0x6f14, 0xc066, 0x6f11, 0xc061, 0x6f0e, 0xc05b, 0x6f0b, 0xc056,
0x6f07, 0xc050, 0x6f04, 0xc04b, 0x6f01, 0xc045, 0x6efe, 0xc040,
0x6efb, 0xc03b, 0x6ef8, 0xc035, 0x6ef5, 0xc030, 0x6ef1, 0xc02a,
0x6eee, 0xc025, 0x6eeb, 0xc01f, 0x6ee8, 0xc01a, 0x6ee5, 0xc014,
0x6ee2, 0xc00f, 0x6edf, 0xc00a, 0x6edc, 0xc004, 0x6ed8, 0xbfff,
0x6ed5, 0xbff9, 0x6ed2, 0xbff4, 0x6ecf, 0xbfee, 0x6ecc, 0xbfe9,
0x6ec9, 0xbfe3, 0x6ec6, 0xbfde, 0x6ec2, 0xbfd9, 0x6ebf, 0xbfd3,
0x6ebc, 0xbfce, 0x6eb9, 0xbfc8, 0x6eb6, 0xbfc3, 0x6eb3, 0xbfbd,
0x6eaf, 0xbfb8, 0x6eac, 0xbfb3, 0x6ea9, 0xbfad, 0x6ea6, 0xbfa8,
0x6ea3, 0xbfa2, 0x6ea0, 0xbf9d, 0x6e9c, 0xbf97, 0x6e99, 0xbf92,
0x6e96, 0xbf8d, 0x6e93, 0xbf87, 0x6e90, 0xbf82, 0x6e8d, 0xbf7c,
0x6e89, 0xbf77, 0x6e86, 0xbf71, 0x6e83, 0xbf6c, 0x6e80, 0xbf67,
0x6e7d, 0xbf61, 0x6e7a, 0xbf5c, 0x6e76, 0xbf56, 0x6e73, 0xbf51,
0x6e70, 0xbf4b, 0x6e6d, 0xbf46, 0x6e6a, 0xbf41, 0x6e67, 0xbf3b,
0x6e63, 0xbf36, 0x6e60, 0xbf30, 0x6e5d, 0xbf2b, 0x6e5a, 0xbf26,
0x6e57, 0xbf20, 0x6e53, 0xbf1b, 0x6e50, 0xbf15, 0x6e4d, 0xbf10,
0x6e4a, 0xbf0a, 0x6e47, 0xbf05, 0x6e44, 0xbf00, 0x6e40, 0xbefa,
0x6e3d, 0xbef5, 0x6e3a, 0xbeef, 0x6e37, 0xbeea, 0x6e34, 0xbee5,
0x6e30, 0xbedf, 0x6e2d, 0xbeda, 0x6e2a, 0xbed4, 0x6e27, 0xbecf,
0x6e24, 0xbeca, 0x6e20, 0xbec4, 0x6e1d, 0xbebf, 0x6e1a, 0xbeb9,
0x6e17, 0xbeb4, 0x6e14, 0xbeae, 0x6e10, 0xbea9, 0x6e0d, 0xbea4,
0x6e0a, 0xbe9e, 0x6e07, 0xbe99, 0x6e04, 0xbe93, 0x6e00, 0xbe8e,
0x6dfd, 0xbe89, 0x6dfa, 0xbe83, 0x6df7, 0xbe7e, 0x6df3, 0xbe78,
0x6df0, 0xbe73, 0x6ded, 0xbe6e, 0x6dea, 0xbe68, 0x6de7, 0xbe63,
0x6de3, 0xbe5e, 0x6de0, 0xbe58, 0x6ddd, 0xbe53, 0x6dda, 0xbe4d,
0x6dd6, 0xbe48, 0x6dd3, 0xbe43, 0x6dd0, 0xbe3d, 0x6dcd, 0xbe38,
0x6dca, 0xbe32, 0x6dc6, 0xbe2d, 0x6dc3, 0xbe28, 0x6dc0, 0xbe22,
0x6dbd, 0xbe1d, 0x6db9, 0xbe17, 0x6db6, 0xbe12, 0x6db3, 0xbe0d,
0x6db0, 0xbe07, 0x6dac, 0xbe02, 0x6da9, 0xbdfd, 0x6da6, 0xbdf7,
0x6da3, 0xbdf2, 0x6d9f, 0xbdec, 0x6d9c, 0xbde7, 0x6d99, 0xbde2,
0x6d96, 0xbddc, 0x6d92, 0xbdd7, 0x6d8f, 0xbdd1, 0x6d8c, 0xbdcc,
0x6d89, 0xbdc7, 0x6d85, 0xbdc1, 0x6d82, 0xbdbc, 0x6d7f, 0xbdb7,
0x6d7c, 0xbdb1, 0x6d78, 0xbdac, 0x6d75, 0xbda6, 0x6d72, 0xbda1,
0x6d6f, 0xbd9c, 0x6d6b, 0xbd96, 0x6d68, 0xbd91, 0x6d65, 0xbd8c,
0x6d62, 0xbd86, 0x6d5e, 0xbd81, 0x6d5b, 0xbd7c, 0x6d58, 0xbd76,
0x6d55, 0xbd71, 0x6d51, 0xbd6b, 0x6d4e, 0xbd66, 0x6d4b, 0xbd61,
0x6d48, 0xbd5b, 0x6d44, 0xbd56, 0x6d41, 0xbd51, 0x6d3e, 0xbd4b,
0x6d3a, 0xbd46, 0x6d37, 0xbd40, 0x6d34, 0xbd3b, 0x6d31, 0xbd36,
0x6d2d, 0xbd30, 0x6d2a, 0xbd2b, 0x6d27, 0xbd26, 0x6d23, 0xbd20,
0x6d20, 0xbd1b, 0x6d1d, 0xbd16, 0x6d1a, 0xbd10, 0x6d16, 0xbd0b,
0x6d13, 0xbd06, 0x6d10, 0xbd00, 0x6d0c, 0xbcfb, 0x6d09, 0xbcf5,
0x6d06, 0xbcf0, 0x6d03, 0xbceb, 0x6cff, 0xbce5, 0x6cfc, 0xbce0,
0x6cf9, 0xbcdb, 0x6cf5, 0xbcd5, 0x6cf2, 0xbcd0, 0x6cef, 0xbccb,
0x6cec, 0xbcc5, 0x6ce8, 0xbcc0, 0x6ce5, 0xbcbb, 0x6ce2, 0xbcb5,
0x6cde, 0xbcb0, 0x6cdb, 0xbcab, 0x6cd8, 0xbca5, 0x6cd4, 0xbca0,
0x6cd1, 0xbc9b, 0x6cce, 0xbc95, 0x6cca, 0xbc90, 0x6cc7, 0xbc8b,
0x6cc4, 0xbc85, 0x6cc1, 0xbc80, 0x6cbd, 0xbc7b, 0x6cba, 0xbc75,
0x6cb7, 0xbc70, 0x6cb3, 0xbc6b, 0x6cb0, 0xbc65, 0x6cad, 0xbc60,
0x6ca9, 0xbc5b, 0x6ca6, 0xbc55, 0x6ca3, 0xbc50, 0x6c9f, 0xbc4b,
0x6c9c, 0xbc45, 0x6c99, 0xbc40, 0x6c95, 0xbc3b, 0x6c92, 0xbc35,
0x6c8f, 0xbc30, 0x6c8b, 0xbc2b, 0x6c88, 0xbc25, 0x6c85, 0xbc20,
0x6c81, 0xbc1b, 0x6c7e, 0xbc15, 0x6c7b, 0xbc10, 0x6c77, 0xbc0b,
0x6c74, 0xbc05, 0x6c71, 0xbc00, 0x6c6d, 0xbbfb, 0x6c6a, 0xbbf5,
0x6c67, 0xbbf0, 0x6c63, 0xbbeb, 0x6c60, 0xbbe5, 0x6c5d, 0xbbe0,
0x6c59, 0xbbdb, 0x6c56, 0xbbd5, 0x6c53, 0xbbd0, 0x6c4f, 0xbbcb,
0x6c4c, 0xbbc5, 0x6c49, 0xbbc0, 0x6c45, 0xbbbb, 0x6c42, 0xbbb5,
0x6c3f, 0xbbb0, 0x6c3b, 0xbbab, 0x6c38, 0xbba6, 0x6c34, 0xbba0,
0x6c31, 0xbb9b, 0x6c2e, 0xbb96, 0x6c2a, 0xbb90, 0x6c27, 0xbb8b,
0x6c24, 0xbb86, 0x6c20, 0xbb80, 0x6c1d, 0xbb7b, 0x6c1a, 0xbb76,
0x6c16, 0xbb70, 0x6c13, 0xbb6b, 0x6c0f, 0xbb66, 0x6c0c, 0xbb61,
0x6c09, 0xbb5b, 0x6c05, 0xbb56, 0x6c02, 0xbb51, 0x6bff, 0xbb4b,
0x6bfb, 0xbb46, 0x6bf8, 0xbb41, 0x6bf5, 0xbb3b, 0x6bf1, 0xbb36,
0x6bee, 0xbb31, 0x6bea, 0xbb2c, 0x6be7, 0xbb26, 0x6be4, 0xbb21,
0x6be0, 0xbb1c, 0x6bdd, 0xbb16, 0x6bd9, 0xbb11, 0x6bd6, 0xbb0c,
0x6bd3, 0xbb06, 0x6bcf, 0xbb01, 0x6bcc, 0xbafc, 0x6bc9, 0xbaf7,
0x6bc5, 0xbaf1, 0x6bc2, 0xbaec, 0x6bbe, 0xbae7, 0x6bbb, 0xbae1,
0x6bb8, 0xbadc, 0x6bb4, 0xbad7, 0x6bb1, 0xbad2, 0x6bad, 0xbacc,
0x6baa, 0xbac7, 0x6ba7, 0xbac2, 0x6ba3, 0xbabc, 0x6ba0, 0xbab7,
0x6b9c, 0xbab2, 0x6b99, 0xbaad, 0x6b96, 0xbaa7, 0x6b92, 0xbaa2,
0x6b8f, 0xba9d, 0x6b8b, 0xba97, 0x6b88, 0xba92, 0x6b85, 0xba8d,
0x6b81, 0xba88, 0x6b7e, 0xba82, 0x6b7a, 0xba7d, 0x6b77, 0xba78,
0x6b73, 0xba73, 0x6b70, 0xba6d, 0x6b6d, 0xba68, 0x6b69, 0xba63,
0x6b66, 0xba5d, 0x6b62, 0xba58, 0x6b5f, 0xba53, 0x6b5c, 0xba4e,
0x6b58, 0xba48, 0x6b55, 0xba43, 0x6b51, 0xba3e, 0x6b4e, 0xba39,
0x6b4a, 0xba33, 0x6b47, 0xba2e, 0x6b44, 0xba29, 0x6b40, 0xba23,
0x6b3d, 0xba1e, 0x6b39, 0xba19, 0x6b36, 0xba14, 0x6b32, 0xba0e,
0x6b2f, 0xba09, 0x6b2c, 0xba04, 0x6b28, 0xb9ff, 0x6b25, 0xb9f9,
0x6b21, 0xb9f4, 0x6b1e, 0xb9ef, 0x6b1a, 0xb9ea, 0x6b17, 0xb9e4,
0x6b13, 0xb9df, 0x6b10, 0xb9da, 0x6b0d, 0xb9d5, 0x6b09, 0xb9cf,
0x6b06, 0xb9ca, 0x6b02, 0xb9c5, 0x6aff, 0xb9c0, 0x6afb, 0xb9ba,
0x6af8, 0xb9b5, 0x6af4, 0xb9b0, 0x6af1, 0xb9ab, 0x6aee, 0xb9a5,
0x6aea, 0xb9a0, 0x6ae7, 0xb99b, 0x6ae3, 0xb996, 0x6ae0, 0xb990,
0x6adc, 0xb98b, 0x6ad9, 0xb986, 0x6ad5, 0xb981, 0x6ad2, 0xb97b,
0x6ace, 0xb976, 0x6acb, 0xb971, 0x6ac8, 0xb96c, 0x6ac4, 0xb966,
0x6ac1, 0xb961, 0x6abd, 0xb95c, 0x6aba, 0xb957, 0x6ab6, 0xb951,
0x6ab3, 0xb94c, 0x6aaf, 0xb947, 0x6aac, 0xb942, 0x6aa8, 0xb93c,
0x6aa5, 0xb937, 0x6aa1, 0xb932, 0x6a9e, 0xb92d, 0x6a9a, 0xb928,
0x6a97, 0xb922, 0x6a93, 0xb91d, 0x6a90, 0xb918, 0x6a8c, 0xb913,
0x6a89, 0xb90d, 0x6a86, 0xb908, 0x6a82, 0xb903, 0x6a7f, 0xb8fe,
0x6a7b, 0xb8f8, 0x6a78, 0xb8f3, 0x6a74, 0xb8ee, 0x6a71, 0xb8e9,
0x6a6d, 0xb8e4, 0x6a6a, 0xb8de, 0x6a66, 0xb8d9, 0x6a63, 0xb8d4,
0x6a5f, 0xb8cf, 0x6a5c, 0xb8c9, 0x6a58, 0xb8c4, 0x6a55, 0xb8bf,
0x6a51, 0xb8ba, 0x6a4e, 0xb8b5, 0x6a4a, 0xb8af, 0x6a47, 0xb8aa,
0x6a43, 0xb8a5, 0x6a40, 0xb8a0, 0x6a3c, 0xb89b, 0x6a39, 0xb895,
0x6a35, 0xb890, 0x6a32, 0xb88b, 0x6a2e, 0xb886, 0x6a2b, 0xb880,
0x6a27, 0xb87b, 0x6a24, 0xb876, 0x6a20, 0xb871, 0x6a1d, 0xb86c,
0x6a19, 0xb866, 0x6a16, 0xb861, 0x6a12, 0xb85c, 0x6a0e, 0xb857,
0x6a0b, 0xb852, 0x6a07, 0xb84c, 0x6a04, 0xb847, 0x6a00, 0xb842,
0x69fd, 0xb83d, 0x69f9, 0xb838, 0x69f6, 0xb832, 0x69f2, 0xb82d,
0x69ef, 0xb828, 0x69eb, 0xb823, 0x69e8, 0xb81e, 0x69e4, 0xb818,
0x69e1, 0xb813, 0x69dd, 0xb80e, 0x69da, 0xb809, 0x69d6, 0xb804,
0x69d3, 0xb7fe, 0x69cf, 0xb7f9, 0x69cb, 0xb7f4, 0x69c8, 0xb7ef,
0x69c4, 0xb7ea, 0x69c1, 0xb7e4, 0x69bd, 0xb7df, 0x69ba, 0xb7da,
0x69b6, 0xb7d5, 0x69b3, 0xb7d0, 0x69af, 0xb7ca, 0x69ac, 0xb7c5,
0x69a8, 0xb7c0, 0x69a5, 0xb7bb, 0x69a1, 0xb7b6, 0x699d, 0xb7b1,
0x699a, 0xb7ab, 0x6996, 0xb7a6, 0x6993, 0xb7a1, 0x698f, 0xb79c,
0x698c, 0xb797, 0x6988, 0xb791, 0x6985, 0xb78c, 0x6981, 0xb787,
0x697d, 0xb782, 0x697a, 0xb77d, 0x6976, 0xb778, 0x6973, 0xb772,
0x696f, 0xb76d, 0x696c, 0xb768, 0x6968, 0xb763, 0x6964, 0xb75e,
0x6961, 0xb758, 0x695d, 0xb753, 0x695a, 0xb74e, 0x6956, 0xb749,
0x6953, 0xb744, 0x694f, 0xb73f, 0x694b, 0xb739, 0x6948, 0xb734,
0x6944, 0xb72f, 0x6941, 0xb72a, 0x693d, 0xb725, 0x693a, 0xb720,
0x6936, 0xb71a, 0x6932, 0xb715, 0x692f, 0xb710, 0x692b, 0xb70b,
0x6928, 0xb706, 0x6924, 0xb701, 0x6921, 0xb6fb, 0x691d, 0xb6f6,
0x6919, 0xb6f1, 0x6916, 0xb6ec, 0x6912, 0xb6e7, 0x690f, 0xb6e2,
0x690b, 0xb6dd, 0x6907, 0xb6d7, 0x6904, 0xb6d2, 0x6900, 0xb6cd,
0x68fd, 0xb6c8, 0x68f9, 0xb6c3, 0x68f5, 0xb6be, 0x68f2, 0xb6b8,
0x68ee, 0xb6b3, 0x68eb, 0xb6ae, 0x68e7, 0xb6a9, 0x68e3, 0xb6a4,
0x68e0, 0xb69f, 0x68dc, 0xb69a, 0x68d9, 0xb694, 0x68d5, 0xb68f,
0x68d1, 0xb68a, 0x68ce, 0xb685, 0x68ca, 0xb680, 0x68c7, 0xb67b,
0x68c3, 0xb676, 0x68bf, 0xb670, 0x68bc, 0xb66b, 0x68b8, 0xb666,
0x68b5, 0xb661, 0x68b1, 0xb65c, 0x68ad, 0xb657, 0x68aa, 0xb652,
0x68a6, 0xb64c, 0x68a3, 0xb647, 0x689f, 0xb642, 0x689b, 0xb63d,
0x6898, 0xb638, 0x6894, 0xb633, 0x6890, 0xb62e, 0x688d, 0xb628,
0x6889, 0xb623, 0x6886, 0xb61e, 0x6882, 0xb619, 0x687e, 0xb614,
0x687b, 0xb60f, 0x6877, 0xb60a, 0x6873, 0xb605, 0x6870, 0xb5ff,
0x686c, 0xb5fa, 0x6868, 0xb5f5, 0x6865, 0xb5f0, 0x6861, 0xb5eb,
0x685e, 0xb5e6, 0x685a, 0xb5e1, 0x6856, 0xb5dc, 0x6853, 0xb5d6,
0x684f, 0xb5d1, 0x684b, 0xb5cc, 0x6848, 0xb5c7, 0x6844, 0xb5c2,
0x6840, 0xb5bd, 0x683d, 0xb5b8, 0x6839, 0xb5b3, 0x6835, 0xb5ae,
0x6832, 0xb5a8, 0x682e, 0xb5a3, 0x682b, 0xb59e, 0x6827, 0xb599,
0x6823, 0xb594, 0x6820, 0xb58f, 0x681c, 0xb58a, 0x6818, 0xb585,
0x6815, 0xb57f, 0x6811, 0xb57a, 0x680d, 0xb575, 0x680a, 0xb570,
0x6806, 0xb56b, 0x6802, 0xb566, 0x67ff, 0xb561, 0x67fb, 0xb55c,
0x67f7, 0xb557, 0x67f4, 0xb552, 0x67f0, 0xb54c, 0x67ec, 0xb547,
0x67e9, 0xb542, 0x67e5, 0xb53d, 0x67e1, 0xb538, 0x67de, 0xb533,
0x67da, 0xb52e, 0x67d6, 0xb529, 0x67d3, 0xb524, 0x67cf, 0xb51f,
0x67cb, 0xb519, 0x67c8, 0xb514, 0x67c4, 0xb50f, 0x67c0, 0xb50a,
0x67bd, 0xb505, 0x67b9, 0xb500, 0x67b5, 0xb4fb, 0x67b2, 0xb4f6,
0x67ae, 0xb4f1, 0x67aa, 0xb4ec, 0x67a6, 0xb4e7, 0x67a3, 0xb4e1,
0x679f, 0xb4dc, 0x679b, 0xb4d7, 0x6798, 0xb4d2, 0x6794, 0xb4cd,
0x6790, 0xb4c8, 0x678d, 0xb4c3, 0x6789, 0xb4be, 0x6785, 0xb4b9,
0x6782, 0xb4b4, 0x677e, 0xb4af, 0x677a, 0xb4aa, 0x6776, 0xb4a4,
0x6773, 0xb49f, 0x676f, 0xb49a, 0x676b, 0xb495, 0x6768, 0xb490,
0x6764, 0xb48b, 0x6760, 0xb486, 0x675d, 0xb481, 0x6759, 0xb47c,
0x6755, 0xb477, 0x6751, 0xb472, 0x674e, 0xb46d, 0x674a, 0xb468,
0x6746, 0xb462, 0x6743, 0xb45d, 0x673f, 0xb458, 0x673b, 0xb453,
0x6737, 0xb44e, 0x6734, 0xb449, 0x6730, 0xb444, 0x672c, 0xb43f,
0x6729, 0xb43a, 0x6725, 0xb435, 0x6721, 0xb430, 0x671d, 0xb42b,
0x671a, 0xb426, 0x6716, 0xb421, 0x6712, 0xb41c, 0x670e, 0xb417,
0x670b, 0xb411, 0x6707, 0xb40c, 0x6703, 0xb407, 0x6700, 0xb402,
0x66fc, 0xb3fd, 0x66f8, 0xb3f8, 0x66f4, 0xb3f3, 0x66f1, 0xb3ee,
0x66ed, 0xb3e9, 0x66e9, 0xb3e4, 0x66e5, 0xb3df, 0x66e2, 0xb3da,
0x66de, 0xb3d5, 0x66da, 0xb3d0, 0x66d6, 0xb3cb, 0x66d3, 0xb3c6,
0x66cf, 0xb3c1, 0x66cb, 0xb3bc, 0x66c8, 0xb3b7, 0x66c4, 0xb3b1,
0x66c0, 0xb3ac, 0x66bc, 0xb3a7, 0x66b9, 0xb3a2, 0x66b5, 0xb39d,
0x66b1, 0xb398, 0x66ad, 0xb393, 0x66aa, 0xb38e, 0x66a6, 0xb389,
0x66a2, 0xb384, 0x669e, 0xb37f, 0x669b, 0xb37a, 0x6697, 0xb375,
0x6693, 0xb370, 0x668f, 0xb36b, 0x668b, 0xb366, 0x6688, 0xb361,
0x6684, 0xb35c, 0x6680, 0xb357, 0x667c, 0xb352, 0x6679, 0xb34d,
0x6675, 0xb348, 0x6671, 0xb343, 0x666d, 0xb33e, 0x666a, 0xb339,
0x6666, 0xb334, 0x6662, 0xb32f, 0x665e, 0xb32a, 0x665b, 0xb325,
0x6657, 0xb31f, 0x6653, 0xb31a, 0x664f, 0xb315, 0x664b, 0xb310,
0x6648, 0xb30b, 0x6644, 0xb306, 0x6640, 0xb301, 0x663c, 0xb2fc,
0x6639, 0xb2f7, 0x6635, 0xb2f2, 0x6631, 0xb2ed, 0x662d, 0xb2e8,
0x6629, 0xb2e3, 0x6626, 0xb2de, 0x6622, 0xb2d9, 0x661e, 0xb2d4,
0x661a, 0xb2cf, 0x6616, 0xb2ca, 0x6613, 0xb2c5, 0x660f, 0xb2c0,
0x660b, 0xb2bb, 0x6607, 0xb2b6, 0x6603, 0xb2b1, 0x6600, 0xb2ac,
0x65fc, 0xb2a7, 0x65f8, 0xb2a2, 0x65f4, 0xb29d, 0x65f0, 0xb298,
0x65ed, 0xb293, 0x65e9, 0xb28e, 0x65e5, 0xb289, 0x65e1, 0xb284,
0x65dd, 0xb27f, 0x65da, 0xb27a, 0x65d6, 0xb275, 0x65d2, 0xb270,
0x65ce, 0xb26b, 0x65ca, 0xb266, 0x65c7, 0xb261, 0x65c3, 0xb25c,
0x65bf, 0xb257, 0x65bb, 0xb252, 0x65b7, 0xb24d, 0x65b4, 0xb248,
0x65b0, 0xb243, 0x65ac, 0xb23e, 0x65a8, 0xb239, 0x65a4, 0xb234,
0x65a0, 0xb22f, 0x659d, 0xb22a, 0x6599, 0xb225, 0x6595, 0xb220,
0x6591, 0xb21b, 0x658d, 0xb216, 0x658a, 0xb211, 0x6586, 0xb20c,
0x6582, 0xb207, 0x657e, 0xb202, 0x657a, 0xb1fd, 0x6576, 0xb1f8,
0x6573, 0xb1f3, 0x656f, 0xb1ee, 0x656b, 0xb1e9, 0x6567, 0xb1e4,
0x6563, 0xb1df, 0x655f, 0xb1da, 0x655c, 0xb1d6, 0x6558, 0xb1d1,
0x6554, 0xb1cc, 0x6550, 0xb1c7, 0x654c, 0xb1c2, 0x6548, 0xb1bd,
0x6545, 0xb1b8, 0x6541, 0xb1b3, 0x653d, 0xb1ae, 0x6539, 0xb1a9,
0x6535, 0xb1a4, 0x6531, 0xb19f, 0x652d, 0xb19a, 0x652a, 0xb195,
0x6526, 0xb190, 0x6522, 0xb18b, 0x651e, 0xb186, 0x651a, 0xb181,
0x6516, 0xb17c, 0x6513, 0xb177, 0x650f, 0xb172, 0x650b, 0xb16d,
0x6507, 0xb168, 0x6503, 0xb163, 0x64ff, 0xb15e, 0x64fb, 0xb159,
0x64f7, 0xb154, 0x64f4, 0xb14f, 0x64f0, 0xb14a, 0x64ec, 0xb146,
0x64e8, 0xb141, 0x64e4, 0xb13c, 0x64e0, 0xb137, 0x64dc, 0xb132,
0x64d9, 0xb12d, 0x64d5, 0xb128, 0x64d1, 0xb123, 0x64cd, 0xb11e,
0x64c9, 0xb119, 0x64c5, 0xb114, 0x64c1, 0xb10f, 0x64bd, 0xb10a,
0x64ba, 0xb105, 0x64b6, 0xb100, 0x64b2, 0xb0fb, 0x64ae, 0xb0f6,
0x64aa, 0xb0f1, 0x64a6, 0xb0ec, 0x64a2, 0xb0e8, 0x649e, 0xb0e3,
0x649b, 0xb0de, 0x6497, 0xb0d9, 0x6493, 0xb0d4, 0x648f, 0xb0cf,
0x648b, 0xb0ca, 0x6487, 0xb0c5, 0x6483, 0xb0c0, 0x647f, 0xb0bb,
0x647b, 0xb0b6, 0x6478, 0xb0b1, 0x6474, 0xb0ac, 0x6470, 0xb0a7,
0x646c, 0xb0a2, 0x6468, 0xb09e, 0x6464, 0xb099, 0x6460, 0xb094,
0x645c, 0xb08f, 0x6458, 0xb08a, 0x6454, 0xb085, 0x6451, 0xb080,
0x644d, 0xb07b, 0x6449, 0xb076, 0x6445, 0xb071, 0x6441, 0xb06c,
0x643d, 0xb067, 0x6439, 0xb062, 0x6435, 0xb05e, 0x6431, 0xb059,
0x642d, 0xb054, 0x6429, 0xb04f, 0x6426, 0xb04a, 0x6422, 0xb045,
0x641e, 0xb040, 0x641a, 0xb03b, 0x6416, 0xb036, 0x6412, 0xb031,
0x640e, 0xb02c, 0x640a, 0xb027, 0x6406, 0xb023, 0x6402, 0xb01e,
0x63fe, 0xb019, 0x63fa, 0xb014, 0x63f7, 0xb00f, 0x63f3, 0xb00a,
0x63ef, 0xb005, 0x63eb, 0xb000, 0x63e7, 0xaffb, 0x63e3, 0xaff6,
0x63df, 0xaff1, 0x63db, 0xafed, 0x63d7, 0xafe8, 0x63d3, 0xafe3,
0x63cf, 0xafde, 0x63cb, 0xafd9, 0x63c7, 0xafd4, 0x63c3, 0xafcf,
0x63c0, 0xafca, 0x63bc, 0xafc5, 0x63b8, 0xafc1, 0x63b4, 0xafbc,
0x63b0, 0xafb7, 0x63ac, 0xafb2, 0x63a8, 0xafad, 0x63a4, 0xafa8,
0x63a0, 0xafa3, 0x639c, 0xaf9e, 0x6398, 0xaf99, 0x6394, 0xaf94,
0x6390, 0xaf90, 0x638c, 0xaf8b, 0x6388, 0xaf86, 0x6384, 0xaf81,
0x6380, 0xaf7c, 0x637c, 0xaf77, 0x6378, 0xaf72, 0x6375, 0xaf6d,
0x6371, 0xaf69, 0x636d, 0xaf64, 0x6369, 0xaf5f, 0x6365, 0xaf5a,
0x6361, 0xaf55, 0x635d, 0xaf50, 0x6359, 0xaf4b, 0x6355, 0xaf46,
0x6351, 0xaf41, 0x634d, 0xaf3d, 0x6349, 0xaf38, 0x6345, 0xaf33,
0x6341, 0xaf2e, 0x633d, 0xaf29, 0x6339, 0xaf24, 0x6335, 0xaf1f,
0x6331, 0xaf1b, 0x632d, 0xaf16, 0x6329, 0xaf11, 0x6325, 0xaf0c,
0x6321, 0xaf07, 0x631d, 0xaf02, 0x6319, 0xaefd, 0x6315, 0xaef8,
0x6311, 0xaef4, 0x630d, 0xaeef, 0x6309, 0xaeea, 0x6305, 0xaee5,
0x6301, 0xaee0, 0x62fd, 0xaedb, 0x62f9, 0xaed6, 0x62f5, 0xaed2,
0x62f2, 0xaecd, 0x62ee, 0xaec8, 0x62ea, 0xaec3, 0x62e6, 0xaebe,
0x62e2, 0xaeb9, 0x62de, 0xaeb4, 0x62da, 0xaeb0, 0x62d6, 0xaeab,
0x62d2, 0xaea6, 0x62ce, 0xaea1, 0x62ca, 0xae9c, 0x62c6, 0xae97,
0x62c2, 0xae92, 0x62be, 0xae8e, 0x62ba, 0xae89, 0x62b6, 0xae84,
0x62b2, 0xae7f, 0x62ae, 0xae7a, 0x62aa, 0xae75, 0x62a6, 0xae71,
0x62a2, 0xae6c, 0x629e, 0xae67, 0x629a, 0xae62, 0x6296, 0xae5d,
0x6292, 0xae58, 0x628e, 0xae54, 0x628a, 0xae4f, 0x6286, 0xae4a,
0x6282, 0xae45, 0x627e, 0xae40, 0x627a, 0xae3b, 0x6275, 0xae37,
0x6271, 0xae32, 0x626d, 0xae2d, 0x6269, 0xae28, 0x6265, 0xae23,
0x6261, 0xae1e, 0x625d, 0xae1a, 0x6259, 0xae15, 0x6255, 0xae10,
0x6251, 0xae0b, 0x624d, 0xae06, 0x6249, 0xae01, 0x6245, 0xadfd,
0x6241, 0xadf8, 0x623d, 0xadf3, 0x6239, 0xadee, 0x6235, 0xade9,
0x6231, 0xade4, 0x622d, 0xade0, 0x6229, 0xaddb, 0x6225, 0xadd6,
0x6221, 0xadd1, 0x621d, 0xadcc, 0x6219, 0xadc8, 0x6215, 0xadc3,
0x6211, 0xadbe, 0x620d, 0xadb9, 0x6209, 0xadb4, 0x6205, 0xadaf,
0x6201, 0xadab, 0x61fd, 0xada6, 0x61f9, 0xada1, 0x61f5, 0xad9c,
0x61f1, 0xad97, 0x61ec, 0xad93, 0x61e8, 0xad8e, 0x61e4, 0xad89,
0x61e0, 0xad84, 0x61dc, 0xad7f, 0x61d8, 0xad7b, 0x61d4, 0xad76,
0x61d0, 0xad71, 0x61cc, 0xad6c, 0x61c8, 0xad67, 0x61c4, 0xad63,
0x61c0, 0xad5e, 0x61bc, 0xad59, 0x61b8, 0xad54, 0x61b4, 0xad4f,
0x61b0, 0xad4b, 0x61ac, 0xad46, 0x61a8, 0xad41, 0x61a3, 0xad3c,
0x619f, 0xad37, 0x619b, 0xad33, 0x6197, 0xad2e, 0x6193, 0xad29,
0x618f, 0xad24, 0x618b, 0xad1f, 0x6187, 0xad1b, 0x6183, 0xad16,
0x617f, 0xad11, 0x617b, 0xad0c, 0x6177, 0xad08, 0x6173, 0xad03,
0x616f, 0xacfe, 0x616b, 0xacf9, 0x6166, 0xacf4, 0x6162, 0xacf0,
0x615e, 0xaceb, 0x615a, 0xace6, 0x6156, 0xace1, 0x6152, 0xacdd,
0x614e, 0xacd8, 0x614a, 0xacd3, 0x6146, 0xacce, 0x6142, 0xacc9,
0x613e, 0xacc5, 0x613a, 0xacc0, 0x6135, 0xacbb, 0x6131, 0xacb6,
0x612d, 0xacb2, 0x6129, 0xacad, 0x6125, 0xaca8, 0x6121, 0xaca3,
0x611d, 0xac9e, 0x6119, 0xac9a, 0x6115, 0xac95, 0x6111, 0xac90,
0x610d, 0xac8b, 0x6108, 0xac87, 0x6104, 0xac82, 0x6100, 0xac7d,
0x60fc, 0xac78, 0x60f8, 0xac74, 0x60f4, 0xac6f, 0x60f0, 0xac6a,
0x60ec, 0xac65, 0x60e8, 0xac61, 0x60e4, 0xac5c, 0x60df, 0xac57,
0x60db, 0xac52, 0x60d7, 0xac4e, 0x60d3, 0xac49, 0x60cf, 0xac44,
0x60cb, 0xac3f, 0x60c7, 0xac3b, 0x60c3, 0xac36, 0x60bf, 0xac31,
0x60ba, 0xac2c, 0x60b6, 0xac28, 0x60b2, 0xac23, 0x60ae, 0xac1e,
0x60aa, 0xac19, 0x60a6, 0xac15, 0x60a2, 0xac10, 0x609e, 0xac0b,
0x6099, 0xac06, 0x6095, 0xac02, 0x6091, 0xabfd, 0x608d, 0xabf8,
0x6089, 0xabf3, 0x6085, 0xabef, 0x6081, 0xabea, 0x607d, 0xabe5,
0x6078, 0xabe0, 0x6074, 0xabdc, 0x6070, 0xabd7, 0x606c, 0xabd2,
0x6068, 0xabcd, 0x6064, 0xabc9, 0x6060, 0xabc4, 0x605c, 0xabbf,
0x6057, 0xabbb, 0x6053, 0xabb6, 0x604f, 0xabb1, 0x604b, 0xabac,
0x6047, 0xaba8, 0x6043, 0xaba3, 0x603f, 0xab9e, 0x603a, 0xab99,
0x6036, 0xab95, 0x6032, 0xab90, 0x602e, 0xab8b, 0x602a, 0xab87,
0x6026, 0xab82, 0x6022, 0xab7d, 0x601d, 0xab78, 0x6019, 0xab74,
0x6015, 0xab6f, 0x6011, 0xab6a, 0x600d, 0xab66, 0x6009, 0xab61,
0x6004, 0xab5c, 0x6000, 0xab57, 0x5ffc, 0xab53, 0x5ff8, 0xab4e,
0x5ff4, 0xab49, 0x5ff0, 0xab45, 0x5fec, 0xab40, 0x5fe7, 0xab3b,
0x5fe3, 0xab36, 0x5fdf, 0xab32, 0x5fdb, 0xab2d, 0x5fd7, 0xab28,
0x5fd3, 0xab24, 0x5fce, 0xab1f, 0x5fca, 0xab1a, 0x5fc6, 0xab16,
0x5fc2, 0xab11, 0x5fbe, 0xab0c, 0x5fba, 0xab07, 0x5fb5, 0xab03,
0x5fb1, 0xaafe, 0x5fad, 0xaaf9, 0x5fa9, 0xaaf5, 0x5fa5, 0xaaf0,
0x5fa0, 0xaaeb, 0x5f9c, 0xaae7, 0x5f98, 0xaae2, 0x5f94, 0xaadd,
0x5f90, 0xaad8, 0x5f8c, 0xaad4, 0x5f87, 0xaacf, 0x5f83, 0xaaca,
0x5f7f, 0xaac6, 0x5f7b, 0xaac1, 0x5f77, 0xaabc, 0x5f72, 0xaab8,
0x5f6e, 0xaab3, 0x5f6a, 0xaaae, 0x5f66, 0xaaaa, 0x5f62, 0xaaa5,
0x5f5e, 0xaaa0, 0x5f59, 0xaa9c, 0x5f55, 0xaa97, 0x5f51, 0xaa92,
0x5f4d, 0xaa8e, 0x5f49, 0xaa89, 0x5f44, 0xaa84, 0x5f40, 0xaa7f,
0x5f3c, 0xaa7b, 0x5f38, 0xaa76, 0x5f34, 0xaa71, 0x5f2f, 0xaa6d,
0x5f2b, 0xaa68, 0x5f27, 0xaa63, 0x5f23, 0xaa5f, 0x5f1f, 0xaa5a,
0x5f1a, 0xaa55, 0x5f16, 0xaa51, 0x5f12, 0xaa4c, 0x5f0e, 0xaa47,
0x5f0a, 0xaa43, 0x5f05, 0xaa3e, 0x5f01, 0xaa39, 0x5efd, 0xaa35,
0x5ef9, 0xaa30, 0x5ef5, 0xaa2b, 0x5ef0, 0xaa27, 0x5eec, 0xaa22,
0x5ee8, 0xaa1d, 0x5ee4, 0xaa19, 0x5edf, 0xaa14, 0x5edb, 0xaa10,
0x5ed7, 0xaa0b, 0x5ed3, 0xaa06, 0x5ecf, 0xaa02, 0x5eca, 0xa9fd,
0x5ec6, 0xa9f8, 0x5ec2, 0xa9f4, 0x5ebe, 0xa9ef, 0x5eb9, 0xa9ea,
0x5eb5, 0xa9e6, 0x5eb1, 0xa9e1, 0x5ead, 0xa9dc, 0x5ea9, 0xa9d8,
0x5ea4, 0xa9d3, 0x5ea0, 0xa9ce, 0x5e9c, 0xa9ca, 0x5e98, 0xa9c5,
0x5e93, 0xa9c0, 0x5e8f, 0xa9bc, 0x5e8b, 0xa9b7, 0x5e87, 0xa9b3,
0x5e82, 0xa9ae, 0x5e7e, 0xa9a9, 0x5e7a, 0xa9a5, 0x5e76, 0xa9a0,
0x5e71, 0xa99b, 0x5e6d, 0xa997, 0x5e69, 0xa992, 0x5e65, 0xa98d,
0x5e60, 0xa989, 0x5e5c, 0xa984, 0x5e58, 0xa980, 0x5e54, 0xa97b,
0x5e50, 0xa976, 0x5e4b, 0xa972, 0x5e47, 0xa96d, 0x5e43, 0xa968,
0x5e3f, 0xa964, 0x5e3a, 0xa95f, 0x5e36, 0xa95b, 0x5e32, 0xa956,
0x5e2d, 0xa951, 0x5e29, 0xa94d, 0x5e25, 0xa948, 0x5e21, 0xa943,
0x5e1c, 0xa93f, 0x5e18, 0xa93a, 0x5e14, 0xa936, 0x5e10, 0xa931,
0x5e0b, 0xa92c, 0x5e07, 0xa928, 0x5e03, 0xa923, 0x5dff, 0xa91e,
0x5dfa, 0xa91a, 0x5df6, 0xa915, 0x5df2, 0xa911, 0x5dee, 0xa90c,
0x5de9, 0xa907, 0x5de5, 0xa903, 0x5de1, 0xa8fe, 0x5ddc, 0xa8fa,
0x5dd8, 0xa8f5, 0x5dd4, 0xa8f0, 0x5dd0, 0xa8ec, 0x5dcb, 0xa8e7,
0x5dc7, 0xa8e3, 0x5dc3, 0xa8de, 0x5dbf, 0xa8d9, 0x5dba, 0xa8d5,
0x5db6, 0xa8d0, 0x5db2, 0xa8cc, 0x5dad, 0xa8c7, 0x5da9, 0xa8c2,
0x5da5, 0xa8be, 0x5da1, 0xa8b9, 0x5d9c, 0xa8b5, 0x5d98, 0xa8b0,
0x5d94, 0xa8ab, 0x5d8f, 0xa8a7, 0x5d8b, 0xa8a2, 0x5d87, 0xa89e,
0x5d83, 0xa899, 0x5d7e, 0xa894, 0x5d7a, 0xa890, 0x5d76, 0xa88b,
0x5d71, 0xa887, 0x5d6d, 0xa882, 0x5d69, 0xa87d, 0x5d65, 0xa879,
0x5d60, 0xa874, 0x5d5c, 0xa870, 0x5d58, 0xa86b, 0x5d53, 0xa867,
0x5d4f, 0xa862, 0x5d4b, 0xa85d, 0x5d46, 0xa859, 0x5d42, 0xa854,
0x5d3e, 0xa850, 0x5d3a, 0xa84b, 0x5d35, 0xa847, 0x5d31, 0xa842,
0x5d2d, 0xa83d, 0x5d28, 0xa839, 0x5d24, 0xa834, 0x5d20, 0xa830,
0x5d1b, 0xa82b, 0x5d17, 0xa827, 0x5d13, 0xa822, 0x5d0e, 0xa81d,
0x5d0a, 0xa819, 0x5d06, 0xa814, 0x5d01, 0xa810, 0x5cfd, 0xa80b,
0x5cf9, 0xa807, 0x5cf5, 0xa802, 0x5cf0, 0xa7fd, 0x5cec, 0xa7f9,
0x5ce8, 0xa7f4, 0x5ce3, 0xa7f0, 0x5cdf, 0xa7eb, 0x5cdb, 0xa7e7,
0x5cd6, 0xa7e2, 0x5cd2, 0xa7de, 0x5cce, 0xa7d9, 0x5cc9, 0xa7d4,
0x5cc5, 0xa7d0, 0x5cc1, 0xa7cb, 0x5cbc, 0xa7c7, 0x5cb8, 0xa7c2,
0x5cb4, 0xa7be, 0x5caf, 0xa7b9, 0x5cab, 0xa7b5, 0x5ca7, 0xa7b0,
0x5ca2, 0xa7ab, 0x5c9e, 0xa7a7, 0x5c9a, 0xa7a2, 0x5c95, 0xa79e,
0x5c91, 0xa799, 0x5c8d, 0xa795, 0x5c88, 0xa790, 0x5c84, 0xa78c,
0x5c80, 0xa787, 0x5c7b, 0xa783, 0x5c77, 0xa77e, 0x5c73, 0xa779,
0x5c6e, 0xa775, 0x5c6a, 0xa770, 0x5c66, 0xa76c, 0x5c61, 0xa767,
0x5c5d, 0xa763, 0x5c58, 0xa75e, 0x5c54, 0xa75a, 0x5c50, 0xa755,
0x5c4b, 0xa751, 0x5c47, 0xa74c, 0x5c43, 0xa748, 0x5c3e, 0xa743,
0x5c3a, 0xa73f, 0x5c36, 0xa73a, 0x5c31, 0xa735, 0x5c2d, 0xa731,
0x5c29, 0xa72c, 0x5c24, 0xa728, 0x5c20, 0xa723, 0x5c1b, 0xa71f,
0x5c17, 0xa71a, 0x5c13, 0xa716, 0x5c0e, 0xa711, 0x5c0a, 0xa70d,
0x5c06, 0xa708, 0x5c01, 0xa704, 0x5bfd, 0xa6ff, 0x5bf9, 0xa6fb,
0x5bf4, 0xa6f6, 0x5bf0, 0xa6f2, 0x5beb, 0xa6ed, 0x5be7, 0xa6e9,
0x5be3, 0xa6e4, 0x5bde, 0xa6e0, 0x5bda, 0xa6db, 0x5bd6, 0xa6d7,
0x5bd1, 0xa6d2, 0x5bcd, 0xa6ce, 0x5bc8, 0xa6c9, 0x5bc4, 0xa6c5,
0x5bc0, 0xa6c0, 0x5bbb, 0xa6bc, 0x5bb7, 0xa6b7, 0x5bb2, 0xa6b3,
0x5bae, 0xa6ae, 0x5baa, 0xa6aa, 0x5ba5, 0xa6a5, 0x5ba1, 0xa6a1,
0x5b9d, 0xa69c, 0x5b98, 0xa698, 0x5b94, 0xa693, 0x5b8f, 0xa68f,
0x5b8b, 0xa68a, 0x5b87, 0xa686, 0x5b82, 0xa681, 0x5b7e, 0xa67d,
0x5b79, 0xa678, 0x5b75, 0xa674, 0x5b71, 0xa66f, 0x5b6c, 0xa66b,
0x5b68, 0xa666, 0x5b63, 0xa662, 0x5b5f, 0xa65d, 0x5b5b, 0xa659,
0x5b56, 0xa654, 0x5b52, 0xa650, 0x5b4d, 0xa64b, 0x5b49, 0xa647,
0x5b45, 0xa642, 0x5b40, 0xa63e, 0x5b3c, 0xa639, 0x5b37, 0xa635,
0x5b33, 0xa630, 0x5b2f, 0xa62c, 0x5b2a, 0xa627, 0x5b26, 0xa623,
0x5b21, 0xa61f, 0x5b1d, 0xa61a, 0x5b19, 0xa616, 0x5b14, 0xa611,
0x5b10, 0xa60d, 0x5b0b, 0xa608, 0x5b07, 0xa604, 0x5b02, 0xa5ff,
0x5afe, 0xa5fb, 0x5afa, 0xa5f6, 0x5af5, 0xa5f2, 0x5af1, 0xa5ed,
0x5aec, 0xa5e9, 0x5ae8, 0xa5e4, 0x5ae4, 0xa5e0, 0x5adf, 0xa5dc,
0x5adb, 0xa5d7, 0x5ad6, 0xa5d3, 0x5ad2, 0xa5ce, 0x5acd, 0xa5ca,
0x5ac9, 0xa5c5, 0x5ac5, 0xa5c1, 0x5ac0, 0xa5bc, 0x5abc, 0xa5b8,
0x5ab7, 0xa5b3, 0x5ab3, 0xa5af, 0x5aae, 0xa5aa, 0x5aaa, 0xa5a6,
0x5aa5, 0xa5a2, 0x5aa1, 0xa59d, 0x5a9d, 0xa599, 0x5a98, 0xa594,
0x5a94, 0xa590, 0x5a8f, 0xa58b, 0x5a8b, 0xa587, 0x5a86, 0xa582,
0x5a82, 0xa57e, 0x5a7e, 0xa57a, 0x5a79, 0xa575, 0x5a75, 0xa571,
0x5a70, 0xa56c, 0x5a6c, 0xa568, 0x5a67, 0xa563, 0x5a63, 0xa55f,
0x5a5e, 0xa55b, 0x5a5a, 0xa556, 0x5a56, 0xa552, 0x5a51, 0xa54d,
0x5a4d, 0xa549, 0x5a48, 0xa544, 0x5a44, 0xa540, 0x5a3f, 0xa53b,
0x5a3b, 0xa537, 0x5a36, 0xa533, 0x5a32, 0xa52e, 0x5a2d, 0xa52a,
0x5a29, 0xa525, 0x5a24, 0xa521, 0x5a20, 0xa51c, 0x5a1c, 0xa518,
0x5a17, 0xa514, 0x5a13, 0xa50f, 0x5a0e, 0xa50b, 0x5a0a, 0xa506,
0x5a05, 0xa502, 0x5a01, 0xa4fe, 0x59fc, 0xa4f9, 0x59f8, 0xa4f5,
0x59f3, 0xa4f0, 0x59ef, 0xa4ec, 0x59ea, 0xa4e7, 0x59e6, 0xa4e3,
0x59e1, 0xa4df, 0x59dd, 0xa4da, 0x59d9, 0xa4d6, 0x59d4, 0xa4d1,
0x59d0, 0xa4cd, 0x59cb, 0xa4c9, 0x59c7, 0xa4c4, 0x59c2, 0xa4c0,
0x59be, 0xa4bb, 0x59b9, 0xa4b7, 0x59b5, 0xa4b3, 0x59b0, 0xa4ae,
0x59ac, 0xa4aa, 0x59a7, 0xa4a5, 0x59a3, 0xa4a1, 0x599e, 0xa49d,
0x599a, 0xa498, 0x5995, 0xa494, 0x5991, 0xa48f, 0x598c, 0xa48b,
0x5988, 0xa487, 0x5983, 0xa482, 0x597f, 0xa47e, 0x597a, 0xa479,
0x5976, 0xa475, 0x5971, 0xa471, 0x596d, 0xa46c, 0x5968, 0xa468,
0x5964, 0xa463, 0x595f, 0xa45f, 0x595b, 0xa45b, 0x5956, 0xa456,
0x5952, 0xa452, 0x594d, 0xa44e, 0x5949, 0xa449, 0x5944, 0xa445,
0x5940, 0xa440, 0x593b, 0xa43c, 0x5937, 0xa438, 0x5932, 0xa433,
0x592e, 0xa42f, 0x5929, 0xa42a, 0x5925, 0xa426, 0x5920, 0xa422,
0x591c, 0xa41d, 0x5917, 0xa419, 0x5913, 0xa415, 0x590e, 0xa410,
0x590a, 0xa40c, 0x5905, 0xa407, 0x5901, 0xa403, 0x58fc, 0xa3ff,
0x58f8, 0xa3fa, 0x58f3, 0xa3f6, 0x58ef, 0xa3f2, 0x58ea, 0xa3ed,
0x58e6, 0xa3e9, 0x58e1, 0xa3e5, 0x58dd, 0xa3e0, 0x58d8, 0xa3dc,
0x58d4, 0xa3d7, 0x58cf, 0xa3d3, 0x58cb, 0xa3cf, 0x58c6, 0xa3ca,
0x58c1, 0xa3c6, 0x58bd, 0xa3c2, 0x58b8, 0xa3bd, 0x58b4, 0xa3b9,
0x58af, 0xa3b5, 0x58ab, 0xa3b0, 0x58a6, 0xa3ac, 0x58a2, 0xa3a8,
0x589d, 0xa3a3, 0x5899, 0xa39f, 0x5894, 0xa39a, 0x5890, 0xa396,
0x588b, 0xa392, 0x5887, 0xa38d, 0x5882, 0xa389, 0x587d, 0xa385,
0x5879, 0xa380, 0x5874, 0xa37c, 0x5870, 0xa378, 0x586b, 0xa373,
0x5867, 0xa36f, 0x5862, 0xa36b, 0x585e, 0xa366, 0x5859, 0xa362,
0x5855, 0xa35e, 0x5850, 0xa359, 0x584b, 0xa355, 0x5847, 0xa351,
0x5842, 0xa34c, 0x583e, 0xa348, 0x5839, 0xa344, 0x5835, 0xa33f,
0x5830, 0xa33b, 0x582c, 0xa337, 0x5827, 0xa332, 0x5822, 0xa32e,
0x581e, 0xa32a, 0x5819, 0xa325, 0x5815, 0xa321, 0x5810, 0xa31d,
0x580c, 0xa318, 0x5807, 0xa314, 0x5803, 0xa310, 0x57fe, 0xa30b,
0x57f9, 0xa307, 0x57f5, 0xa303, 0x57f0, 0xa2ff, 0x57ec, 0xa2fa,
0x57e7, 0xa2f6, 0x57e3, 0xa2f2, 0x57de, 0xa2ed, 0x57d9, 0xa2e9,
0x57d5, 0xa2e5, 0x57d0, 0xa2e0, 0x57cc, 0xa2dc, 0x57c7, 0xa2d8,
0x57c3, 0xa2d3, 0x57be, 0xa2cf, 0x57b9, 0xa2cb, 0x57b5, 0xa2c6,
0x57b0, 0xa2c2, 0x57ac, 0xa2be, 0x57a7, 0xa2ba, 0x57a3, 0xa2b5,
0x579e, 0xa2b1, 0x5799, 0xa2ad, 0x5795, 0xa2a8, 0x5790, 0xa2a4,
0x578c, 0xa2a0, 0x5787, 0xa29b, 0x5783, 0xa297, 0x577e, 0xa293,
0x5779, 0xa28f, 0x5775, 0xa28a, 0x5770, 0xa286, 0x576c, 0xa282,
0x5767, 0xa27d, 0x5762, 0xa279, 0x575e, 0xa275, 0x5759, 0xa271,
0x5755, 0xa26c, 0x5750, 0xa268, 0x574b, 0xa264, 0x5747, 0xa25f,
0x5742, 0xa25b, 0x573e, 0xa257, 0x5739, 0xa253, 0x5734, 0xa24e,
0x5730, 0xa24a, 0x572b, 0xa246, 0x5727, 0xa241, 0x5722, 0xa23d,
0x571d, 0xa239, 0x5719, 0xa235, 0x5714, 0xa230, 0x5710, 0xa22c,
0x570b, 0xa228, 0x5706, 0xa224, 0x5702, 0xa21f, 0x56fd, 0xa21b,
0x56f9, 0xa217, 0x56f4, 0xa212, 0x56ef, 0xa20e, 0x56eb, 0xa20a,
0x56e6, 0xa206, 0x56e2, 0xa201, 0x56dd, 0xa1fd, 0x56d8, 0xa1f9,
0x56d4, 0xa1f5, 0x56cf, 0xa1f0, 0x56ca, 0xa1ec, 0x56c6, 0xa1e8,
0x56c1, 0xa1e4, 0x56bd, 0xa1df, 0x56b8, 0xa1db, 0x56b3, 0xa1d7,
0x56af, 0xa1d3, 0x56aa, 0xa1ce, 0x56a5, 0xa1ca, 0x56a1, 0xa1c6,
0x569c, 0xa1c1, 0x5698, 0xa1bd, 0x5693, 0xa1b9, 0x568e, 0xa1b5,
0x568a, 0xa1b0, 0x5685, 0xa1ac, 0x5680, 0xa1a8, 0x567c, 0xa1a4,
0x5677, 0xa1a0, 0x5673, 0xa19b, 0x566e, 0xa197, 0x5669, 0xa193,
0x5665, 0xa18f, 0x5660, 0xa18a, 0x565b, 0xa186, 0x5657, 0xa182,
0x5652, 0xa17e, 0x564d, 0xa179, 0x5649, 0xa175, 0x5644, 0xa171,
0x5640, 0xa16d, 0x563b, 0xa168, 0x5636, 0xa164, 0x5632, 0xa160,
0x562d, 0xa15c, 0x5628, 0xa157, 0x5624, 0xa153, 0x561f, 0xa14f,
0x561a, 0xa14b, 0x5616, 0xa147, 0x5611, 0xa142, 0x560c, 0xa13e,
0x5608, 0xa13a, 0x5603, 0xa136, 0x55fe, 0xa131, 0x55fa, 0xa12d,
0x55f5, 0xa129, 0x55f0, 0xa125, 0x55ec, 0xa121, 0x55e7, 0xa11c,
0x55e3, 0xa118, 0x55de, 0xa114, 0x55d9, 0xa110, 0x55d5, 0xa10b,
0x55d0, 0xa107, 0x55cb, 0xa103, 0x55c7, 0xa0ff, 0x55c2, 0xa0fb,
0x55bd, 0xa0f6, 0x55b9, 0xa0f2, 0x55b4, 0xa0ee, 0x55af, 0xa0ea,
0x55ab, 0xa0e6, 0x55a6, 0xa0e1, 0x55a1, 0xa0dd, 0x559d, 0xa0d9,
0x5598, 0xa0d5, 0x5593, 0xa0d1, 0x558f, 0xa0cc, 0x558a, 0xa0c8,
0x5585, 0xa0c4, 0x5581, 0xa0c0, 0x557c, 0xa0bc, 0x5577, 0xa0b7,
0x5572, 0xa0b3, 0x556e, 0xa0af, 0x5569, 0xa0ab, 0x5564, 0xa0a7,
0x5560, 0xa0a2, 0x555b, 0xa09e, 0x5556, 0xa09a, 0x5552, 0xa096,
0x554d, 0xa092, 0x5548, 0xa08e, 0x5544, 0xa089, 0x553f, 0xa085,
0x553a, 0xa081, 0x5536, 0xa07d, 0x5531, 0xa079, 0x552c, 0xa074,
0x5528, 0xa070, 0x5523, 0xa06c, 0x551e, 0xa068, 0x5519, 0xa064,
0x5515, 0xa060, 0x5510, 0xa05b, 0x550b, 0xa057, 0x5507, 0xa053,
0x5502, 0xa04f, 0x54fd, 0xa04b, 0x54f9, 0xa046, 0x54f4, 0xa042,
0x54ef, 0xa03e, 0x54ea, 0xa03a, 0x54e6, 0xa036, 0x54e1, 0xa032,
0x54dc, 0xa02d, 0x54d8, 0xa029, 0x54d3, 0xa025, 0x54ce, 0xa021,
0x54ca, 0xa01d, 0x54c5, 0xa019, 0x54c0, 0xa014, 0x54bb, 0xa010,
0x54b7, 0xa00c, 0x54b2, 0xa008, 0x54ad, 0xa004, 0x54a9, 0xa000,
0x54a4, 0x9ffc, 0x549f, 0x9ff7, 0x549a, 0x9ff3, 0x5496, 0x9fef,
0x5491, 0x9feb, 0x548c, 0x9fe7, 0x5488, 0x9fe3, 0x5483, 0x9fde,
0x547e, 0x9fda, 0x5479, 0x9fd6, 0x5475, 0x9fd2, 0x5470, 0x9fce,
0x546b, 0x9fca, 0x5467, 0x9fc6, 0x5462, 0x9fc1, 0x545d, 0x9fbd,
0x5458, 0x9fb9, 0x5454, 0x9fb5, 0x544f, 0x9fb1, 0x544a, 0x9fad,
0x5445, 0x9fa9, 0x5441, 0x9fa4, 0x543c, 0x9fa0, 0x5437, 0x9f9c,
0x5433, 0x9f98, 0x542e, 0x9f94, 0x5429, 0x9f90, 0x5424, 0x9f8c,
0x5420, 0x9f88, 0x541b, 0x9f83, 0x5416, 0x9f7f, 0x5411, 0x9f7b,
0x540d, 0x9f77, 0x5408, 0x9f73, 0x5403, 0x9f6f, 0x53fe, 0x9f6b,
0x53fa, 0x9f67, 0x53f5, 0x9f62, 0x53f0, 0x9f5e, 0x53eb, 0x9f5a,
0x53e7, 0x9f56, 0x53e2, 0x9f52, 0x53dd, 0x9f4e, 0x53d8, 0x9f4a,
0x53d4, 0x9f46, 0x53cf, 0x9f41, 0x53ca, 0x9f3d, 0x53c5, 0x9f39,
0x53c1, 0x9f35, 0x53bc, 0x9f31, 0x53b7, 0x9f2d, 0x53b2, 0x9f29,
0x53ae, 0x9f25, 0x53a9, 0x9f21, 0x53a4, 0x9f1c, 0x539f, 0x9f18,
0x539b, 0x9f14, 0x5396, 0x9f10, 0x5391, 0x9f0c, 0x538c, 0x9f08,
0x5388, 0x9f04, 0x5383, 0x9f00, 0x537e, 0x9efc, 0x5379, 0x9ef8,
0x5375, 0x9ef3, 0x5370, 0x9eef, 0x536b, 0x9eeb, 0x5366, 0x9ee7,
0x5362, 0x9ee3, 0x535d, 0x9edf, 0x5358, 0x9edb, 0x5353, 0x9ed7,
0x534e, 0x9ed3, 0x534a, 0x9ecf, 0x5345, 0x9ecb, 0x5340, 0x9ec6,
0x533b, 0x9ec2, 0x5337, 0x9ebe, 0x5332, 0x9eba, 0x532d, 0x9eb6,
0x5328, 0x9eb2, 0x5323, 0x9eae, 0x531f, 0x9eaa, 0x531a, 0x9ea6,
0x5315, 0x9ea2, 0x5310, 0x9e9e, 0x530c, 0x9e9a, 0x5307, 0x9e95,
0x5302, 0x9e91, 0x52fd, 0x9e8d, 0x52f8, 0x9e89, 0x52f4, 0x9e85,
0x52ef, 0x9e81, 0x52ea, 0x9e7d, 0x52e5, 0x9e79, 0x52e1, 0x9e75,
0x52dc, 0x9e71, 0x52d7, 0x9e6d, 0x52d2, 0x9e69, 0x52cd, 0x9e65,
0x52c9, 0x9e61, 0x52c4, 0x9e5d, 0x52bf, 0x9e58, 0x52ba, 0x9e54,
0x52b5, 0x9e50, 0x52b1, 0x9e4c, 0x52ac, 0x9e48, 0x52a7, 0x9e44,
0x52a2, 0x9e40, 0x529d, 0x9e3c, 0x5299, 0x9e38, 0x5294, 0x9e34,
0x528f, 0x9e30, 0x528a, 0x9e2c, 0x5285, 0x9e28, 0x5281, 0x9e24,
0x527c, 0x9e20, 0x5277, 0x9e1c, 0x5272, 0x9e18, 0x526d, 0x9e14,
0x5269, 0x9e0f, 0x5264, 0x9e0b, 0x525f, 0x9e07, 0x525a, 0x9e03,
0x5255, 0x9dff, 0x5251, 0x9dfb, 0x524c, 0x9df7, 0x5247, 0x9df3,
0x5242, 0x9def, 0x523d, 0x9deb, 0x5238, 0x9de7, 0x5234, 0x9de3,
0x522f, 0x9ddf, 0x522a, 0x9ddb, 0x5225, 0x9dd7, 0x5220, 0x9dd3,
0x521c, 0x9dcf, 0x5217, 0x9dcb, 0x5212, 0x9dc7, 0x520d, 0x9dc3,
0x5208, 0x9dbf, 0x5203, 0x9dbb, 0x51ff, 0x9db7, 0x51fa, 0x9db3,
0x51f5, 0x9daf, 0x51f0, 0x9dab, 0x51eb, 0x9da7, 0x51e6, 0x9da3,
0x51e2, 0x9d9f, 0x51dd, 0x9d9b, 0x51d8, 0x9d97, 0x51d3, 0x9d93,
0x51ce, 0x9d8f, 0x51c9, 0x9d8b, 0x51c5, 0x9d86, 0x51c0, 0x9d82,
0x51bb, 0x9d7e, 0x51b6, 0x9d7a, 0x51b1, 0x9d76, 0x51ac, 0x9d72,
0x51a8, 0x9d6e, 0x51a3, 0x9d6a, 0x519e, 0x9d66, 0x5199, 0x9d62,
0x5194, 0x9d5e, 0x518f, 0x9d5a, 0x518b, 0x9d56, 0x5186, 0x9d52,
0x5181, 0x9d4e, 0x517c, 0x9d4a, 0x5177, 0x9d46, 0x5172, 0x9d42,
0x516e, 0x9d3e, 0x5169, 0x9d3a, 0x5164, 0x9d36, 0x515f, 0x9d32,
0x515a, 0x9d2e, 0x5155, 0x9d2a, 0x5150, 0x9d26, 0x514c, 0x9d22,
0x5147, 0x9d1e, 0x5142, 0x9d1a, 0x513d, 0x9d16, 0x5138, 0x9d12,
0x5133, 0x9d0e, 0x512e, 0x9d0b, 0x512a, 0x9d07, 0x5125, 0x9d03,
0x5120, 0x9cff, 0x511b, 0x9cfb, 0x5116, 0x9cf7, 0x5111, 0x9cf3,
0x510c, 0x9cef, 0x5108, 0x9ceb, 0x5103, 0x9ce7, 0x50fe, 0x9ce3,
0x50f9, 0x9cdf, 0x50f4, 0x9cdb, 0x50ef, 0x9cd7, 0x50ea, 0x9cd3,
0x50e5, 0x9ccf, 0x50e1, 0x9ccb, 0x50dc, 0x9cc7, 0x50d7, 0x9cc3,
0x50d2, 0x9cbf, 0x50cd, 0x9cbb, 0x50c8, 0x9cb7, 0x50c3, 0x9cb3,
0x50bf, 0x9caf, 0x50ba, 0x9cab, 0x50b5, 0x9ca7, 0x50b0, 0x9ca3,
0x50ab, 0x9c9f, 0x50a6, 0x9c9b, 0x50a1, 0x9c97, 0x509c, 0x9c93,
0x5097, 0x9c8f, 0x5093, 0x9c8b, 0x508e, 0x9c88, 0x5089, 0x9c84,
0x5084, 0x9c80, 0x507f, 0x9c7c, 0x507a, 0x9c78, 0x5075, 0x9c74,
0x5070, 0x9c70, 0x506c, 0x9c6c, 0x5067, 0x9c68, 0x5062, 0x9c64,
0x505d, 0x9c60, 0x5058, 0x9c5c, 0x5053, 0x9c58, 0x504e, 0x9c54,
0x5049, 0x9c50, 0x5044, 0x9c4c, 0x503f, 0x9c48, 0x503b, 0x9c44,
0x5036, 0x9c40, 0x5031, 0x9c3d, 0x502c, 0x9c39, 0x5027, 0x9c35,
0x5022, 0x9c31, 0x501d, 0x9c2d, 0x5018, 0x9c29, 0x5013, 0x9c25,
0x500f, 0x9c21, 0x500a, 0x9c1d, 0x5005, 0x9c19, 0x5000, 0x9c15,
0x4ffb, 0x9c11, 0x4ff6, 0x9c0d, 0x4ff1, 0x9c09, 0x4fec, 0x9c06,
0x4fe7, 0x9c02, 0x4fe2, 0x9bfe, 0x4fdd, 0x9bfa, 0x4fd9, 0x9bf6,
0x4fd4, 0x9bf2, 0x4fcf, 0x9bee, 0x4fca, 0x9bea, 0x4fc5, 0x9be6,
0x4fc0, 0x9be2, 0x4fbb, 0x9bde, 0x4fb6, 0x9bda, 0x4fb1, 0x9bd7,
0x4fac, 0x9bd3, 0x4fa7, 0x9bcf, 0x4fa2, 0x9bcb, 0x4f9e, 0x9bc7,
0x4f99, 0x9bc3, 0x4f94, 0x9bbf, 0x4f8f, 0x9bbb, 0x4f8a, 0x9bb7,
0x4f85, 0x9bb3, 0x4f80, 0x9baf, 0x4f7b, 0x9bac, 0x4f76, 0x9ba8,
0x4f71, 0x9ba4, 0x4f6c, 0x9ba0, 0x4f67, 0x9b9c, 0x4f62, 0x9b98,
0x4f5e, 0x9b94, 0x4f59, 0x9b90, 0x4f54, 0x9b8c, 0x4f4f, 0x9b88,
0x4f4a, 0x9b85, 0x4f45, 0x9b81, 0x4f40, 0x9b7d, 0x4f3b, 0x9b79,
0x4f36, 0x9b75, 0x4f31, 0x9b71, 0x4f2c, 0x9b6d, 0x4f27, 0x9b69,
0x4f22, 0x9b65, 0x4f1d, 0x9b62, 0x4f18, 0x9b5e, 0x4f14, 0x9b5a,
0x4f0f, 0x9b56, 0x4f0a, 0x9b52, 0x4f05, 0x9b4e, 0x4f00, 0x9b4a,
0x4efb, 0x9b46, 0x4ef6, 0x9b43, 0x4ef1, 0x9b3f, 0x4eec, 0x9b3b,
0x4ee7, 0x9b37, 0x4ee2, 0x9b33, 0x4edd, 0x9b2f, 0x4ed8, 0x9b2b,
0x4ed3, 0x9b27, 0x4ece, 0x9b24, 0x4ec9, 0x9b20, 0x4ec4, 0x9b1c,
0x4ebf, 0x9b18, 0x4eba, 0x9b14, 0x4eb6, 0x9b10, 0x4eb1, 0x9b0c,
0x4eac, 0x9b09, 0x4ea7, 0x9b05, 0x4ea2, 0x9b01, 0x4e9d, 0x9afd,
0x4e98, 0x9af9, 0x4e93, 0x9af5, 0x4e8e, 0x9af1, 0x4e89, 0x9aed,
0x4e84, 0x9aea, 0x4e7f, 0x9ae6, 0x4e7a, 0x9ae2, 0x4e75, 0x9ade,
0x4e70, 0x9ada, 0x4e6b, 0x9ad6, 0x4e66, 0x9ad3, 0x4e61, 0x9acf,
0x4e5c, 0x9acb, 0x4e57, 0x9ac7, 0x4e52, 0x9ac3, 0x4e4d, 0x9abf,
0x4e48, 0x9abb, 0x4e43, 0x9ab8, 0x4e3e, 0x9ab4, 0x4e39, 0x9ab0,
0x4e34, 0x9aac, 0x4e2f, 0x9aa8, 0x4e2a, 0x9aa4, 0x4e26, 0x9aa1,
0x4e21, 0x9a9d, 0x4e1c, 0x9a99, 0x4e17, 0x9a95, 0x4e12, 0x9a91,
0x4e0d, 0x9a8d, 0x4e08, 0x9a8a, 0x4e03, 0x9a86, 0x4dfe, 0x9a82,
0x4df9, 0x9a7e, 0x4df4, 0x9a7a, 0x4def, 0x9a76, 0x4dea, 0x9a73,
0x4de5, 0x9a6f, 0x4de0, 0x9a6b, 0x4ddb, 0x9a67, 0x4dd6, 0x9a63,
0x4dd1, 0x9a60, 0x4dcc, 0x9a5c, 0x4dc7, 0x9a58, 0x4dc2, 0x9a54,
0x4dbd, 0x9a50, 0x4db8, 0x9a4c, 0x4db3, 0x9a49, 0x4dae, 0x9a45,
0x4da9, 0x9a41, 0x4da4, 0x9a3d, 0x4d9f, 0x9a39, 0x4d9a, 0x9a36,
0x4d95, 0x9a32, 0x4d90, 0x9a2e, 0x4d8b, 0x9a2a, 0x4d86, 0x9a26,
0x4d81, 0x9a23, 0x4d7c, 0x9a1f, 0x4d77, 0x9a1b, 0x4d72, 0x9a17,
0x4d6d, 0x9a13, 0x4d68, 0x9a10, 0x4d63, 0x9a0c, 0x4d5e, 0x9a08,
0x4d59, 0x9a04, 0x4d54, 0x9a00, 0x4d4f, 0x99fd, 0x4d4a, 0x99f9,
0x4d45, 0x99f5, 0x4d40, 0x99f1, 0x4d3b, 0x99ed, 0x4d36, 0x99ea,
0x4d31, 0x99e6, 0x4d2c, 0x99e2, 0x4d27, 0x99de, 0x4d22, 0x99da,
0x4d1d, 0x99d7, 0x4d18, 0x99d3, 0x4d13, 0x99cf, 0x4d0e, 0x99cb,
0x4d09, 0x99c7, 0x4d04, 0x99c4, 0x4cff, 0x99c0, 0x4cfa, 0x99bc,
0x4cf5, 0x99b8, 0x4cf0, 0x99b5, 0x4ceb, 0x99b1, 0x4ce6, 0x99ad,
0x4ce1, 0x99a9, 0x4cdb, 0x99a5, 0x4cd6, 0x99a2, 0x4cd1, 0x999e,
0x4ccc, 0x999a, 0x4cc7, 0x9996, 0x4cc2, 0x9993, 0x4cbd, 0x998f,
0x4cb8, 0x998b, 0x4cb3, 0x9987, 0x4cae, 0x9984, 0x4ca9, 0x9980,
0x4ca4, 0x997c, 0x4c9f, 0x9978, 0x4c9a, 0x9975, 0x4c95, 0x9971,
0x4c90, 0x996d, 0x4c8b, 0x9969, 0x4c86, 0x9965, 0x4c81, 0x9962,
0x4c7c, 0x995e, 0x4c77, 0x995a, 0x4c72, 0x9956, 0x4c6d, 0x9953,
0x4c68, 0x994f, 0x4c63, 0x994b, 0x4c5e, 0x9947, 0x4c59, 0x9944,
0x4c54, 0x9940, 0x4c4f, 0x993c, 0x4c49, 0x9938, 0x4c44, 0x9935,
0x4c3f, 0x9931, 0x4c3a, 0x992d, 0x4c35, 0x992a, 0x4c30, 0x9926,
0x4c2b, 0x9922, 0x4c26, 0x991e, 0x4c21, 0x991b, 0x4c1c, 0x9917,
0x4c17, 0x9913, 0x4c12, 0x990f, 0x4c0d, 0x990c, 0x4c08, 0x9908,
0x4c03, 0x9904, 0x4bfe, 0x9900, 0x4bf9, 0x98fd, 0x4bf4, 0x98f9,
0x4bef, 0x98f5, 0x4be9, 0x98f2, 0x4be4, 0x98ee, 0x4bdf, 0x98ea,
0x4bda, 0x98e6, 0x4bd5, 0x98e3, 0x4bd0, 0x98df, 0x4bcb, 0x98db,
0x4bc6, 0x98d7, 0x4bc1, 0x98d4, 0x4bbc, 0x98d0, 0x4bb7, 0x98cc,
0x4bb2, 0x98c9, 0x4bad, 0x98c5, 0x4ba8, 0x98c1, 0x4ba3, 0x98bd,
0x4b9e, 0x98ba, 0x4b98, 0x98b6, 0x4b93, 0x98b2, 0x4b8e, 0x98af,
0x4b89, 0x98ab, 0x4b84, 0x98a7, 0x4b7f, 0x98a3, 0x4b7a, 0x98a0,
0x4b75, 0x989c, 0x4b70, 0x9898, 0x4b6b, 0x9895, 0x4b66, 0x9891,
0x4b61, 0x988d, 0x4b5c, 0x988a, 0x4b56, 0x9886, 0x4b51, 0x9882,
0x4b4c, 0x987e, 0x4b47, 0x987b, 0x4b42, 0x9877, 0x4b3d, 0x9873,
0x4b38, 0x9870, 0x4b33, 0x986c, 0x4b2e, 0x9868, 0x4b29, 0x9865,
0x4b24, 0x9861, 0x4b1f, 0x985d, 0x4b19, 0x985a, 0x4b14, 0x9856,
0x4b0f, 0x9852, 0x4b0a, 0x984e, 0x4b05, 0x984b, 0x4b00, 0x9847,
0x4afb, 0x9843, 0x4af6, 0x9840, 0x4af1, 0x983c, 0x4aec, 0x9838,
0x4ae7, 0x9835, 0x4ae1, 0x9831, 0x4adc, 0x982d, 0x4ad7, 0x982a,
0x4ad2, 0x9826, 0x4acd, 0x9822, 0x4ac8, 0x981f, 0x4ac3, 0x981b,
0x4abe, 0x9817, 0x4ab9, 0x9814, 0x4ab4, 0x9810, 0x4aae, 0x980c,
0x4aa9, 0x9809, 0x4aa4, 0x9805, 0x4a9f, 0x9801, 0x4a9a, 0x97fe,
0x4a95, 0x97fa, 0x4a90, 0x97f6, 0x4a8b, 0x97f3, 0x4a86, 0x97ef,
0x4a81, 0x97eb, 0x4a7b, 0x97e8, 0x4a76, 0x97e4, 0x4a71, 0x97e0,
0x4a6c, 0x97dd, 0x4a67, 0x97d9, 0x4a62, 0x97d5, 0x4a5d, 0x97d2,
0x4a58, 0x97ce, 0x4a52, 0x97cb, 0x4a4d, 0x97c7, 0x4a48, 0x97c3,
0x4a43, 0x97c0, 0x4a3e, 0x97bc, 0x4a39, 0x97b8, 0x4a34, 0x97b5,
0x4a2f, 0x97b1, 0x4a2a, 0x97ad, 0x4a24, 0x97aa, 0x4a1f, 0x97a6,
0x4a1a, 0x97a2, 0x4a15, 0x979f, 0x4a10, 0x979b, 0x4a0b, 0x9798,
0x4a06, 0x9794, 0x4a01, 0x9790, 0x49fb, 0x978d, 0x49f6, 0x9789,
0x49f1, 0x9785, 0x49ec, 0x9782, 0x49e7, 0x977e, 0x49e2, 0x977a,
0x49dd, 0x9777, 0x49d8, 0x9773, 0x49d2, 0x9770, 0x49cd, 0x976c,
0x49c8, 0x9768, 0x49c3, 0x9765, 0x49be, 0x9761, 0x49b9, 0x975d,
0x49b4, 0x975a, 0x49ae, 0x9756, 0x49a9, 0x9753, 0x49a4, 0x974f,
0x499f, 0x974b, 0x499a, 0x9748, 0x4995, 0x9744, 0x4990, 0x9741,
0x498a, 0x973d, 0x4985, 0x9739, 0x4980, 0x9736, 0x497b, 0x9732,
0x4976, 0x972f, 0x4971, 0x972b, 0x496c, 0x9727, 0x4966, 0x9724,
0x4961, 0x9720, 0x495c, 0x971d, 0x4957, 0x9719, 0x4952, 0x9715,
0x494d, 0x9712, 0x4948, 0x970e, 0x4942, 0x970b, 0x493d, 0x9707,
0x4938, 0x9703, 0x4933, 0x9700, 0x492e, 0x96fc, 0x4929, 0x96f9,
0x4923, 0x96f5, 0x491e, 0x96f1, 0x4919, 0x96ee, 0x4914, 0x96ea,
0x490f, 0x96e7, 0x490a, 0x96e3, 0x4905, 0x96df, 0x48ff, 0x96dc,
0x48fa, 0x96d8, 0x48f5, 0x96d5, 0x48f0, 0x96d1, 0x48eb, 0x96ce,
0x48e6, 0x96ca, 0x48e0, 0x96c6, 0x48db, 0x96c3, 0x48d6, 0x96bf,
0x48d1, 0x96bc, 0x48cc, 0x96b8, 0x48c7, 0x96b5, 0x48c1, 0x96b1,
0x48bc, 0x96ad, 0x48b7, 0x96aa, 0x48b2, 0x96a6, 0x48ad, 0x96a3,
0x48a8, 0x969f, 0x48a2, 0x969c, 0x489d, 0x9698, 0x4898, 0x9694,
0x4893, 0x9691, 0x488e, 0x968d, 0x4888, 0x968a, 0x4883, 0x9686,
0x487e, 0x9683, 0x4879, 0x967f, 0x4874, 0x967b, 0x486f, 0x9678,
0x4869, 0x9674, 0x4864, 0x9671, 0x485f, 0x966d, 0x485a, 0x966a,
0x4855, 0x9666, 0x484f, 0x9663, 0x484a, 0x965f, 0x4845, 0x965b,
0x4840, 0x9658, 0x483b, 0x9654, 0x4836, 0x9651, 0x4830, 0x964d,
0x482b, 0x964a, 0x4826, 0x9646, 0x4821, 0x9643, 0x481c, 0x963f,
0x4816, 0x963c, 0x4811, 0x9638, 0x480c, 0x9635, 0x4807, 0x9631,
0x4802, 0x962d, 0x47fc, 0x962a, 0x47f7, 0x9626, 0x47f2, 0x9623,
0x47ed, 0x961f, 0x47e8, 0x961c, 0x47e2, 0x9618, 0x47dd, 0x9615,
0x47d8, 0x9611, 0x47d3, 0x960e, 0x47ce, 0x960a, 0x47c8, 0x9607,
0x47c3, 0x9603, 0x47be, 0x9600, 0x47b9, 0x95fc, 0x47b4, 0x95f9,
0x47ae, 0x95f5, 0x47a9, 0x95f2, 0x47a4, 0x95ee, 0x479f, 0x95ea,
0x479a, 0x95e7, 0x4794, 0x95e3, 0x478f, 0x95e0, 0x478a, 0x95dc,
0x4785, 0x95d9, 0x4780, 0x95d5, 0x477a, 0x95d2, 0x4775, 0x95ce,
0x4770, 0x95cb, 0x476b, 0x95c7, 0x4765, 0x95c4, 0x4760, 0x95c0,
0x475b, 0x95bd, 0x4756, 0x95b9, 0x4751, 0x95b6, 0x474b, 0x95b2,
0x4746, 0x95af, 0x4741, 0x95ab, 0x473c, 0x95a8, 0x4737, 0x95a4,
0x4731, 0x95a1, 0x472c, 0x959d, 0x4727, 0x959a, 0x4722, 0x9596,
0x471c, 0x9593, 0x4717, 0x958f, 0x4712, 0x958c, 0x470d, 0x9588,
0x4708, 0x9585, 0x4702, 0x9581, 0x46fd, 0x957e, 0x46f8, 0x957a,
0x46f3, 0x9577, 0x46ed, 0x9574, 0x46e8, 0x9570, 0x46e3, 0x956d,
0x46de, 0x9569, 0x46d8, 0x9566, 0x46d3, 0x9562, 0x46ce, 0x955f,
0x46c9, 0x955b, 0x46c4, 0x9558, 0x46be, 0x9554, 0x46b9, 0x9551,
0x46b4, 0x954d, 0x46af, 0x954a, 0x46a9, 0x9546, 0x46a4, 0x9543,
0x469f, 0x953f, 0x469a, 0x953c, 0x4694, 0x9538, 0x468f, 0x9535,
0x468a, 0x9532, 0x4685, 0x952e, 0x467f, 0x952b, 0x467a, 0x9527,
0x4675, 0x9524, 0x4670, 0x9520, 0x466a, 0x951d, 0x4665, 0x9519,
0x4660, 0x9516, 0x465b, 0x9512, 0x4655, 0x950f, 0x4650, 0x950c,
0x464b, 0x9508, 0x4646, 0x9505, 0x4640, 0x9501, 0x463b, 0x94fe,
0x4636, 0x94fa, 0x4631, 0x94f7, 0x462b, 0x94f3, 0x4626, 0x94f0,
0x4621, 0x94ed, 0x461c, 0x94e9, 0x4616, 0x94e6, 0x4611, 0x94e2,
0x460c, 0x94df, 0x4607, 0x94db, 0x4601, 0x94d8, 0x45fc, 0x94d4,
0x45f7, 0x94d1, 0x45f2, 0x94ce, 0x45ec, 0x94ca, 0x45e7, 0x94c7,
0x45e2, 0x94c3, 0x45dd, 0x94c0, 0x45d7, 0x94bc, 0x45d2, 0x94b9,
0x45cd, 0x94b6, 0x45c7, 0x94b2, 0x45c2, 0x94af, 0x45bd, 0x94ab,
0x45b8, 0x94a8, 0x45b2, 0x94a4, 0x45ad, 0x94a1, 0x45a8, 0x949e,
0x45a3, 0x949a, 0x459d, 0x9497, 0x4598, 0x9493, 0x4593, 0x9490,
0x458d, 0x948d, 0x4588, 0x9489, 0x4583, 0x9486, 0x457e, 0x9482,
0x4578, 0x947f, 0x4573, 0x947b, 0x456e, 0x9478, 0x4569, 0x9475,
0x4563, 0x9471, 0x455e, 0x946e, 0x4559, 0x946a, 0x4553, 0x9467,
0x454e, 0x9464, 0x4549, 0x9460, 0x4544, 0x945d, 0x453e, 0x9459,
0x4539, 0x9456, 0x4534, 0x9453, 0x452e, 0x944f, 0x4529, 0x944c,
0x4524, 0x9448, 0x451f, 0x9445, 0x4519, 0x9442, 0x4514, 0x943e,
0x450f, 0x943b, 0x4509, 0x9437, 0x4504, 0x9434, 0x44ff, 0x9431,
0x44fa, 0x942d, 0x44f4, 0x942a, 0x44ef, 0x9427, 0x44ea, 0x9423,
0x44e4, 0x9420, 0x44df, 0x941c, 0x44da, 0x9419, 0x44d4, 0x9416,
0x44cf, 0x9412, 0x44ca, 0x940f, 0x44c5, 0x940b, 0x44bf, 0x9408,
0x44ba, 0x9405, 0x44b5, 0x9401, 0x44af, 0x93fe, 0x44aa, 0x93fb,
0x44a5, 0x93f7, 0x449f, 0x93f4, 0x449a, 0x93f1, 0x4495, 0x93ed,
0x4490, 0x93ea, 0x448a, 0x93e6, 0x4485, 0x93e3, 0x4480, 0x93e0,
0x447a, 0x93dc, 0x4475, 0x93d9, 0x4470, 0x93d6, 0x446a, 0x93d2,
0x4465, 0x93cf, 0x4460, 0x93cc, 0x445a, 0x93c8, 0x4455, 0x93c5,
0x4450, 0x93c1, 0x444b, 0x93be, 0x4445, 0x93bb, 0x4440, 0x93b7,
0x443b, 0x93b4, 0x4435, 0x93b1, 0x4430, 0x93ad, 0x442b, 0x93aa,
0x4425, 0x93a7, 0x4420, 0x93a3, 0x441b, 0x93a0, 0x4415, 0x939d,
0x4410, 0x9399, 0x440b, 0x9396, 0x4405, 0x9393, 0x4400, 0x938f,
0x43fb, 0x938c, 0x43f5, 0x9389, 0x43f0, 0x9385, 0x43eb, 0x9382,
0x43e5, 0x937f, 0x43e0, 0x937b, 0x43db, 0x9378, 0x43d5, 0x9375,
0x43d0, 0x9371, 0x43cb, 0x936e, 0x43c5, 0x936b, 0x43c0, 0x9367,
0x43bb, 0x9364, 0x43b5, 0x9361, 0x43b0, 0x935d, 0x43ab, 0x935a,
0x43a5, 0x9357, 0x43a0, 0x9353, 0x439b, 0x9350, 0x4395, 0x934d,
0x4390, 0x9349, 0x438b, 0x9346, 0x4385, 0x9343, 0x4380, 0x933f,
0x437b, 0x933c, 0x4375, 0x9339, 0x4370, 0x9336, 0x436b, 0x9332,
0x4365, 0x932f, 0x4360, 0x932c, 0x435b, 0x9328, 0x4355, 0x9325,
0x4350, 0x9322, 0x434b, 0x931e, 0x4345, 0x931b, 0x4340, 0x9318,
0x433b, 0x9314, 0x4335, 0x9311, 0x4330, 0x930e, 0x432b, 0x930b,
0x4325, 0x9307, 0x4320, 0x9304, 0x431b, 0x9301, 0x4315, 0x92fd,
0x4310, 0x92fa, 0x430b, 0x92f7, 0x4305, 0x92f4, 0x4300, 0x92f0,
0x42fa, 0x92ed, 0x42f5, 0x92ea, 0x42f0, 0x92e6, 0x42ea, 0x92e3,
0x42e5, 0x92e0, 0x42e0, 0x92dd, 0x42da, 0x92d9, 0x42d5, 0x92d6,
0x42d0, 0x92d3, 0x42ca, 0x92cf, 0x42c5, 0x92cc, 0x42c0, 0x92c9,
0x42ba, 0x92c6, 0x42b5, 0x92c2, 0x42af, 0x92bf, 0x42aa, 0x92bc,
0x42a5, 0x92b8, 0x429f, 0x92b5, 0x429a, 0x92b2, 0x4295, 0x92af,
0x428f, 0x92ab, 0x428a, 0x92a8, 0x4284, 0x92a5, 0x427f, 0x92a2,
0x427a, 0x929e, 0x4274, 0x929b, 0x426f, 0x9298, 0x426a, 0x9295,
0x4264, 0x9291, 0x425f, 0x928e, 0x425a, 0x928b, 0x4254, 0x9288,
0x424f, 0x9284, 0x4249, 0x9281, 0x4244, 0x927e, 0x423f, 0x927b,
0x4239, 0x9277, 0x4234, 0x9274, 0x422f, 0x9271, 0x4229, 0x926e,
0x4224, 0x926a, 0x421e, 0x9267, 0x4219, 0x9264, 0x4214, 0x9261,
0x420e, 0x925d, 0x4209, 0x925a, 0x4203, 0x9257, 0x41fe, 0x9254,
0x41f9, 0x9250, 0x41f3, 0x924d, 0x41ee, 0x924a, 0x41e9, 0x9247,
0x41e3, 0x9243, 0x41de, 0x9240, 0x41d8, 0x923d, 0x41d3, 0x923a,
0x41ce, 0x9236, 0x41c8, 0x9233, 0x41c3, 0x9230, 0x41bd, 0x922d,
0x41b8, 0x922a, 0x41b3, 0x9226, 0x41ad, 0x9223, 0x41a8, 0x9220,
0x41a2, 0x921d, 0x419d, 0x9219, 0x4198, 0x9216, 0x4192, 0x9213,
0x418d, 0x9210, 0x4188, 0x920d, 0x4182, 0x9209, 0x417d, 0x9206,
0x4177, 0x9203, 0x4172, 0x9200, 0x416d, 0x91fc, 0x4167, 0x91f9,
0x4162, 0x91f6, 0x415c, 0x91f3, 0x4157, 0x91f0, 0x4152, 0x91ec,
0x414c, 0x91e9, 0x4147, 0x91e6, 0x4141, 0x91e3, 0x413c, 0x91e0,
0x4136, 0x91dc, 0x4131, 0x91d9, 0x412c, 0x91d6, 0x4126, 0x91d3,
0x4121, 0x91d0, 0x411b, 0x91cc, 0x4116, 0x91c9, 0x4111, 0x91c6,
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0x40e0, 0x91a9, 0x40da, 0x91a6, 0x40d5, 0x91a3, 0x40d0, 0x91a0,
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0x40b5, 0x9190, 0x40af, 0x918d, 0x40aa, 0x918a, 0x40a4, 0x9186,
0x409f, 0x9183, 0x4099, 0x9180, 0x4094, 0x917d, 0x408f, 0x917a,
0x4089, 0x9177, 0x4084, 0x9173, 0x407e, 0x9170, 0x4079, 0x916d,
0x4073, 0x916a, 0x406e, 0x9167, 0x4069, 0x9164, 0x4063, 0x9160,
0x405e, 0x915d, 0x4058, 0x915a, 0x4053, 0x9157, 0x404d, 0x9154,
0x4048, 0x9151, 0x4043, 0x914d, 0x403d, 0x914a, 0x4038, 0x9147,
0x4032, 0x9144, 0x402d, 0x9141, 0x4027, 0x913e, 0x4022, 0x913a,
0x401d, 0x9137, 0x4017, 0x9134, 0x4012, 0x9131, 0x400c, 0x912e,
0x4007, 0x912b, 0x4001, 0x9128, 0x3ffc, 0x9124, 0x3ff6, 0x9121,
0x3ff1, 0x911e, 0x3fec, 0x911b, 0x3fe6, 0x9118, 0x3fe1, 0x9115,
0x3fdb, 0x9112, 0x3fd6, 0x910f, 0x3fd0, 0x910b, 0x3fcb, 0x9108,
0x3fc5, 0x9105, 0x3fc0, 0x9102, 0x3fbb, 0x90ff, 0x3fb5, 0x90fc,
0x3fb0, 0x90f9, 0x3faa, 0x90f5, 0x3fa5, 0x90f2, 0x3f9f, 0x90ef,
0x3f9a, 0x90ec, 0x3f94, 0x90e9, 0x3f8f, 0x90e6, 0x3f89, 0x90e3,
0x3f84, 0x90e0, 0x3f7f, 0x90dd, 0x3f79, 0x90d9, 0x3f74, 0x90d6,
0x3f6e, 0x90d3, 0x3f69, 0x90d0, 0x3f63, 0x90cd, 0x3f5e, 0x90ca,
0x3f58, 0x90c7, 0x3f53, 0x90c4, 0x3f4d, 0x90c1, 0x3f48, 0x90bd,
0x3f43, 0x90ba, 0x3f3d, 0x90b7, 0x3f38, 0x90b4, 0x3f32, 0x90b1,
0x3f2d, 0x90ae, 0x3f27, 0x90ab, 0x3f22, 0x90a8, 0x3f1c, 0x90a5,
0x3f17, 0x90a1, 0x3f11, 0x909e, 0x3f0c, 0x909b, 0x3f06, 0x9098,
0x3f01, 0x9095, 0x3efb, 0x9092, 0x3ef6, 0x908f, 0x3ef1, 0x908c,
0x3eeb, 0x9089, 0x3ee6, 0x9086, 0x3ee0, 0x9083, 0x3edb, 0x907f,
0x3ed5, 0x907c, 0x3ed0, 0x9079, 0x3eca, 0x9076, 0x3ec5, 0x9073,
0x3ebf, 0x9070, 0x3eba, 0x906d, 0x3eb4, 0x906a, 0x3eaf, 0x9067,
0x3ea9, 0x9064, 0x3ea4, 0x9061, 0x3e9e, 0x905e, 0x3e99, 0x905b,
0x3e93, 0x9057, 0x3e8e, 0x9054, 0x3e88, 0x9051, 0x3e83, 0x904e,
0x3e7d, 0x904b, 0x3e78, 0x9048, 0x3e73, 0x9045, 0x3e6d, 0x9042,
0x3e68, 0x903f, 0x3e62, 0x903c, 0x3e5d, 0x9039, 0x3e57, 0x9036,
0x3e52, 0x9033, 0x3e4c, 0x9030, 0x3e47, 0x902d, 0x3e41, 0x902a,
0x3e3c, 0x9026, 0x3e36, 0x9023, 0x3e31, 0x9020, 0x3e2b, 0x901d,
0x3e26, 0x901a, 0x3e20, 0x9017, 0x3e1b, 0x9014, 0x3e15, 0x9011,
0x3e10, 0x900e, 0x3e0a, 0x900b, 0x3e05, 0x9008, 0x3dff, 0x9005,
0x3dfa, 0x9002, 0x3df4, 0x8fff, 0x3def, 0x8ffc, 0x3de9, 0x8ff9,
0x3de4, 0x8ff6, 0x3dde, 0x8ff3, 0x3dd9, 0x8ff0, 0x3dd3, 0x8fed,
0x3dce, 0x8fea, 0x3dc8, 0x8fe7, 0x3dc3, 0x8fe3, 0x3dbd, 0x8fe0,
0x3db8, 0x8fdd, 0x3db2, 0x8fda, 0x3dad, 0x8fd7, 0x3da7, 0x8fd4,
0x3da2, 0x8fd1, 0x3d9c, 0x8fce, 0x3d97, 0x8fcb, 0x3d91, 0x8fc8,
0x3d8c, 0x8fc5, 0x3d86, 0x8fc2, 0x3d81, 0x8fbf, 0x3d7b, 0x8fbc,
0x3d76, 0x8fb9, 0x3d70, 0x8fb6, 0x3d6b, 0x8fb3, 0x3d65, 0x8fb0,
0x3d60, 0x8fad, 0x3d5a, 0x8faa, 0x3d55, 0x8fa7, 0x3d4f, 0x8fa4,
0x3d49, 0x8fa1, 0x3d44, 0x8f9e, 0x3d3e, 0x8f9b, 0x3d39, 0x8f98,
0x3d33, 0x8f95, 0x3d2e, 0x8f92, 0x3d28, 0x8f8f, 0x3d23, 0x8f8c,
0x3d1d, 0x8f89, 0x3d18, 0x8f86, 0x3d12, 0x8f83, 0x3d0d, 0x8f80,
0x3d07, 0x8f7d, 0x3d02, 0x8f7a, 0x3cfc, 0x8f77, 0x3cf7, 0x8f74,
0x3cf1, 0x8f71, 0x3cec, 0x8f6e, 0x3ce6, 0x8f6b, 0x3ce1, 0x8f68,
0x3cdb, 0x8f65, 0x3cd6, 0x8f62, 0x3cd0, 0x8f5f, 0x3cca, 0x8f5c,
0x3cc5, 0x8f59, 0x3cbf, 0x8f56, 0x3cba, 0x8f53, 0x3cb4, 0x8f50,
0x3caf, 0x8f4d, 0x3ca9, 0x8f4a, 0x3ca4, 0x8f47, 0x3c9e, 0x8f44,
0x3c99, 0x8f41, 0x3c93, 0x8f3e, 0x3c8e, 0x8f3b, 0x3c88, 0x8f38,
0x3c83, 0x8f35, 0x3c7d, 0x8f32, 0x3c77, 0x8f2f, 0x3c72, 0x8f2d,
0x3c6c, 0x8f2a, 0x3c67, 0x8f27, 0x3c61, 0x8f24, 0x3c5c, 0x8f21,
0x3c56, 0x8f1e, 0x3c51, 0x8f1b, 0x3c4b, 0x8f18, 0x3c46, 0x8f15,
0x3c40, 0x8f12, 0x3c3b, 0x8f0f, 0x3c35, 0x8f0c, 0x3c2f, 0x8f09,
0x3c2a, 0x8f06, 0x3c24, 0x8f03, 0x3c1f, 0x8f00, 0x3c19, 0x8efd,
0x3c14, 0x8efa, 0x3c0e, 0x8ef7, 0x3c09, 0x8ef4, 0x3c03, 0x8ef1,
0x3bfd, 0x8eee, 0x3bf8, 0x8eec, 0x3bf2, 0x8ee9, 0x3bed, 0x8ee6,
0x3be7, 0x8ee3, 0x3be2, 0x8ee0, 0x3bdc, 0x8edd, 0x3bd7, 0x8eda,
0x3bd1, 0x8ed7, 0x3bcc, 0x8ed4, 0x3bc6, 0x8ed1, 0x3bc0, 0x8ece,
0x3bbb, 0x8ecb, 0x3bb5, 0x8ec8, 0x3bb0, 0x8ec5, 0x3baa, 0x8ec2,
0x3ba5, 0x8ebf, 0x3b9f, 0x8ebd, 0x3b99, 0x8eba, 0x3b94, 0x8eb7,
0x3b8e, 0x8eb4, 0x3b89, 0x8eb1, 0x3b83, 0x8eae, 0x3b7e, 0x8eab,
0x3b78, 0x8ea8, 0x3b73, 0x8ea5, 0x3b6d, 0x8ea2, 0x3b67, 0x8e9f,
0x3b62, 0x8e9c, 0x3b5c, 0x8e99, 0x3b57, 0x8e97, 0x3b51, 0x8e94,
0x3b4c, 0x8e91, 0x3b46, 0x8e8e, 0x3b40, 0x8e8b, 0x3b3b, 0x8e88,
0x3b35, 0x8e85, 0x3b30, 0x8e82, 0x3b2a, 0x8e7f, 0x3b25, 0x8e7c,
0x3b1f, 0x8e7a, 0x3b19, 0x8e77, 0x3b14, 0x8e74, 0x3b0e, 0x8e71,
0x3b09, 0x8e6e, 0x3b03, 0x8e6b, 0x3afe, 0x8e68, 0x3af8, 0x8e65,
0x3af2, 0x8e62, 0x3aed, 0x8e5f, 0x3ae7, 0x8e5d, 0x3ae2, 0x8e5a,
0x3adc, 0x8e57, 0x3ad7, 0x8e54, 0x3ad1, 0x8e51, 0x3acb, 0x8e4e,
0x3ac6, 0x8e4b, 0x3ac0, 0x8e48, 0x3abb, 0x8e45, 0x3ab5, 0x8e43,
0x3aaf, 0x8e40, 0x3aaa, 0x8e3d, 0x3aa4, 0x8e3a, 0x3a9f, 0x8e37,
0x3a99, 0x8e34, 0x3a94, 0x8e31, 0x3a8e, 0x8e2e, 0x3a88, 0x8e2c,
0x3a83, 0x8e29, 0x3a7d, 0x8e26, 0x3a78, 0x8e23, 0x3a72, 0x8e20,
0x3a6c, 0x8e1d, 0x3a67, 0x8e1a, 0x3a61, 0x8e17, 0x3a5c, 0x8e15,
0x3a56, 0x8e12, 0x3a50, 0x8e0f, 0x3a4b, 0x8e0c, 0x3a45, 0x8e09,
0x3a40, 0x8e06, 0x3a3a, 0x8e03, 0x3a34, 0x8e01, 0x3a2f, 0x8dfe,
0x3a29, 0x8dfb, 0x3a24, 0x8df8, 0x3a1e, 0x8df5, 0x3a19, 0x8df2,
0x3a13, 0x8def, 0x3a0d, 0x8ded, 0x3a08, 0x8dea, 0x3a02, 0x8de7,
0x39fd, 0x8de4, 0x39f7, 0x8de1, 0x39f1, 0x8dde, 0x39ec, 0x8ddc,
0x39e6, 0x8dd9, 0x39e0, 0x8dd6, 0x39db, 0x8dd3, 0x39d5, 0x8dd0,
0x39d0, 0x8dcd, 0x39ca, 0x8dca, 0x39c4, 0x8dc8, 0x39bf, 0x8dc5,
0x39b9, 0x8dc2, 0x39b4, 0x8dbf, 0x39ae, 0x8dbc, 0x39a8, 0x8db9,
0x39a3, 0x8db7, 0x399d, 0x8db4, 0x3998, 0x8db1, 0x3992, 0x8dae,
0x398c, 0x8dab, 0x3987, 0x8da9, 0x3981, 0x8da6, 0x397c, 0x8da3,
0x3976, 0x8da0, 0x3970, 0x8d9d, 0x396b, 0x8d9a, 0x3965, 0x8d98,
0x395f, 0x8d95, 0x395a, 0x8d92, 0x3954, 0x8d8f, 0x394f, 0x8d8c,
0x3949, 0x8d8a, 0x3943, 0x8d87, 0x393e, 0x8d84, 0x3938, 0x8d81,
0x3932, 0x8d7e, 0x392d, 0x8d7b, 0x3927, 0x8d79, 0x3922, 0x8d76,
0x391c, 0x8d73, 0x3916, 0x8d70, 0x3911, 0x8d6d, 0x390b, 0x8d6b,
0x3906, 0x8d68, 0x3900, 0x8d65, 0x38fa, 0x8d62, 0x38f5, 0x8d5f,
0x38ef, 0x8d5d, 0x38e9, 0x8d5a, 0x38e4, 0x8d57, 0x38de, 0x8d54,
0x38d8, 0x8d51, 0x38d3, 0x8d4f, 0x38cd, 0x8d4c, 0x38c8, 0x8d49,
0x38c2, 0x8d46, 0x38bc, 0x8d44, 0x38b7, 0x8d41, 0x38b1, 0x8d3e,
0x38ab, 0x8d3b, 0x38a6, 0x8d38, 0x38a0, 0x8d36, 0x389b, 0x8d33,
0x3895, 0x8d30, 0x388f, 0x8d2d, 0x388a, 0x8d2b, 0x3884, 0x8d28,
0x387e, 0x8d25, 0x3879, 0x8d22, 0x3873, 0x8d1f, 0x386d, 0x8d1d,
0x3868, 0x8d1a, 0x3862, 0x8d17, 0x385d, 0x8d14, 0x3857, 0x8d12,
0x3851, 0x8d0f, 0x384c, 0x8d0c, 0x3846, 0x8d09, 0x3840, 0x8d07,
0x383b, 0x8d04, 0x3835, 0x8d01, 0x382f, 0x8cfe, 0x382a, 0x8cfb,
0x3824, 0x8cf9, 0x381e, 0x8cf6, 0x3819, 0x8cf3, 0x3813, 0x8cf0,
0x380d, 0x8cee, 0x3808, 0x8ceb, 0x3802, 0x8ce8, 0x37fd, 0x8ce5,
0x37f7, 0x8ce3, 0x37f1, 0x8ce0, 0x37ec, 0x8cdd, 0x37e6, 0x8cda,
0x37e0, 0x8cd8, 0x37db, 0x8cd5, 0x37d5, 0x8cd2, 0x37cf, 0x8cd0,
0x37ca, 0x8ccd, 0x37c4, 0x8cca, 0x37be, 0x8cc7, 0x37b9, 0x8cc5,
0x37b3, 0x8cc2, 0x37ad, 0x8cbf, 0x37a8, 0x8cbc, 0x37a2, 0x8cba,
0x379c, 0x8cb7, 0x3797, 0x8cb4, 0x3791, 0x8cb1, 0x378b, 0x8caf,
0x3786, 0x8cac, 0x3780, 0x8ca9, 0x377a, 0x8ca7, 0x3775, 0x8ca4,
0x376f, 0x8ca1, 0x3769, 0x8c9e, 0x3764, 0x8c9c, 0x375e, 0x8c99,
0x3758, 0x8c96, 0x3753, 0x8c94, 0x374d, 0x8c91, 0x3747, 0x8c8e,
0x3742, 0x8c8b, 0x373c, 0x8c89, 0x3736, 0x8c86, 0x3731, 0x8c83,
0x372b, 0x8c81, 0x3725, 0x8c7e, 0x3720, 0x8c7b, 0x371a, 0x8c78,
0x3714, 0x8c76, 0x370f, 0x8c73, 0x3709, 0x8c70, 0x3703, 0x8c6e,
0x36fe, 0x8c6b, 0x36f8, 0x8c68, 0x36f2, 0x8c65, 0x36ed, 0x8c63,
0x36e7, 0x8c60, 0x36e1, 0x8c5d, 0x36dc, 0x8c5b, 0x36d6, 0x8c58,
0x36d0, 0x8c55, 0x36cb, 0x8c53, 0x36c5, 0x8c50, 0x36bf, 0x8c4d,
0x36ba, 0x8c4b, 0x36b4, 0x8c48, 0x36ae, 0x8c45, 0x36a9, 0x8c43,
0x36a3, 0x8c40, 0x369d, 0x8c3d, 0x3698, 0x8c3a, 0x3692, 0x8c38,
0x368c, 0x8c35, 0x3686, 0x8c32, 0x3681, 0x8c30, 0x367b, 0x8c2d,
0x3675, 0x8c2a, 0x3670, 0x8c28, 0x366a, 0x8c25, 0x3664, 0x8c22,
0x365f, 0x8c20, 0x3659, 0x8c1d, 0x3653, 0x8c1a, 0x364e, 0x8c18,
0x3648, 0x8c15, 0x3642, 0x8c12, 0x363d, 0x8c10, 0x3637, 0x8c0d,
0x3631, 0x8c0a, 0x362b, 0x8c08, 0x3626, 0x8c05, 0x3620, 0x8c02,
0x361a, 0x8c00, 0x3615, 0x8bfd, 0x360f, 0x8bfa, 0x3609, 0x8bf8,
0x3604, 0x8bf5, 0x35fe, 0x8bf3, 0x35f8, 0x8bf0, 0x35f3, 0x8bed,
0x35ed, 0x8beb, 0x35e7, 0x8be8, 0x35e1, 0x8be5, 0x35dc, 0x8be3,
0x35d6, 0x8be0, 0x35d0, 0x8bdd, 0x35cb, 0x8bdb, 0x35c5, 0x8bd8,
0x35bf, 0x8bd5, 0x35ba, 0x8bd3, 0x35b4, 0x8bd0, 0x35ae, 0x8bce,
0x35a8, 0x8bcb, 0x35a3, 0x8bc8, 0x359d, 0x8bc6, 0x3597, 0x8bc3,
0x3592, 0x8bc0, 0x358c, 0x8bbe, 0x3586, 0x8bbb, 0x3580, 0x8bb8,
0x357b, 0x8bb6, 0x3575, 0x8bb3, 0x356f, 0x8bb1, 0x356a, 0x8bae,
0x3564, 0x8bab, 0x355e, 0x8ba9, 0x3558, 0x8ba6, 0x3553, 0x8ba4,
0x354d, 0x8ba1, 0x3547, 0x8b9e, 0x3542, 0x8b9c, 0x353c, 0x8b99,
0x3536, 0x8b96, 0x3530, 0x8b94, 0x352b, 0x8b91, 0x3525, 0x8b8f,
0x351f, 0x8b8c, 0x351a, 0x8b89, 0x3514, 0x8b87, 0x350e, 0x8b84,
0x3508, 0x8b82, 0x3503, 0x8b7f, 0x34fd, 0x8b7c, 0x34f7, 0x8b7a,
0x34f2, 0x8b77, 0x34ec, 0x8b75, 0x34e6, 0x8b72, 0x34e0, 0x8b6f,
0x34db, 0x8b6d, 0x34d5, 0x8b6a, 0x34cf, 0x8b68, 0x34ca, 0x8b65,
0x34c4, 0x8b62, 0x34be, 0x8b60, 0x34b8, 0x8b5d, 0x34b3, 0x8b5b,
0x34ad, 0x8b58, 0x34a7, 0x8b55, 0x34a1, 0x8b53, 0x349c, 0x8b50,
0x3496, 0x8b4e, 0x3490, 0x8b4b, 0x348b, 0x8b49, 0x3485, 0x8b46,
0x347f, 0x8b43, 0x3479, 0x8b41, 0x3474, 0x8b3e, 0x346e, 0x8b3c,
0x3468, 0x8b39, 0x3462, 0x8b37, 0x345d, 0x8b34, 0x3457, 0x8b31,
0x3451, 0x8b2f, 0x344b, 0x8b2c, 0x3446, 0x8b2a, 0x3440, 0x8b27,
0x343a, 0x8b25, 0x3435, 0x8b22, 0x342f, 0x8b1f, 0x3429, 0x8b1d,
0x3423, 0x8b1a, 0x341e, 0x8b18, 0x3418, 0x8b15, 0x3412, 0x8b13,
0x340c, 0x8b10, 0x3407, 0x8b0e, 0x3401, 0x8b0b, 0x33fb, 0x8b08,
0x33f5, 0x8b06, 0x33f0, 0x8b03, 0x33ea, 0x8b01, 0x33e4, 0x8afe,
0x33de, 0x8afc, 0x33d9, 0x8af9, 0x33d3, 0x8af7, 0x33cd, 0x8af4,
0x33c7, 0x8af1, 0x33c2, 0x8aef, 0x33bc, 0x8aec, 0x33b6, 0x8aea,
0x33b0, 0x8ae7, 0x33ab, 0x8ae5, 0x33a5, 0x8ae2, 0x339f, 0x8ae0,
0x3399, 0x8add, 0x3394, 0x8adb, 0x338e, 0x8ad8, 0x3388, 0x8ad6,
0x3382, 0x8ad3, 0x337d, 0x8ad1, 0x3377, 0x8ace, 0x3371, 0x8acb,
0x336b, 0x8ac9, 0x3366, 0x8ac6, 0x3360, 0x8ac4, 0x335a, 0x8ac1,
0x3354, 0x8abf, 0x334f, 0x8abc, 0x3349, 0x8aba, 0x3343, 0x8ab7,
0x333d, 0x8ab5, 0x3338, 0x8ab2, 0x3332, 0x8ab0, 0x332c, 0x8aad,
0x3326, 0x8aab, 0x3321, 0x8aa8, 0x331b, 0x8aa6, 0x3315, 0x8aa3,
0x330f, 0x8aa1, 0x330a, 0x8a9e, 0x3304, 0x8a9c, 0x32fe, 0x8a99,
0x32f8, 0x8a97, 0x32f3, 0x8a94, 0x32ed, 0x8a92, 0x32e7, 0x8a8f,
0x32e1, 0x8a8d, 0x32db, 0x8a8a, 0x32d6, 0x8a88, 0x32d0, 0x8a85,
0x32ca, 0x8a83, 0x32c4, 0x8a80, 0x32bf, 0x8a7e, 0x32b9, 0x8a7b,
0x32b3, 0x8a79, 0x32ad, 0x8a76, 0x32a8, 0x8a74, 0x32a2, 0x8a71,
0x329c, 0x8a6f, 0x3296, 0x8a6c, 0x3290, 0x8a6a, 0x328b, 0x8a67,
0x3285, 0x8a65, 0x327f, 0x8a62, 0x3279, 0x8a60, 0x3274, 0x8a5d,
0x326e, 0x8a5b, 0x3268, 0x8a59, 0x3262, 0x8a56, 0x325d, 0x8a54,
0x3257, 0x8a51, 0x3251, 0x8a4f, 0x324b, 0x8a4c, 0x3245, 0x8a4a,
0x3240, 0x8a47, 0x323a, 0x8a45, 0x3234, 0x8a42, 0x322e, 0x8a40,
0x3228, 0x8a3d, 0x3223, 0x8a3b, 0x321d, 0x8a38, 0x3217, 0x8a36,
0x3211, 0x8a34, 0x320c, 0x8a31, 0x3206, 0x8a2f, 0x3200, 0x8a2c,
0x31fa, 0x8a2a, 0x31f4, 0x8a27, 0x31ef, 0x8a25, 0x31e9, 0x8a22,
0x31e3, 0x8a20, 0x31dd, 0x8a1d, 0x31d8, 0x8a1b, 0x31d2, 0x8a19,
0x31cc, 0x8a16, 0x31c6, 0x8a14, 0x31c0, 0x8a11, 0x31bb, 0x8a0f,
0x31b5, 0x8a0c, 0x31af, 0x8a0a, 0x31a9, 0x8a07, 0x31a3, 0x8a05,
0x319e, 0x8a03, 0x3198, 0x8a00, 0x3192, 0x89fe, 0x318c, 0x89fb,
0x3186, 0x89f9, 0x3181, 0x89f6, 0x317b, 0x89f4, 0x3175, 0x89f2,
0x316f, 0x89ef, 0x3169, 0x89ed, 0x3164, 0x89ea, 0x315e, 0x89e8,
0x3158, 0x89e5, 0x3152, 0x89e3, 0x314c, 0x89e1, 0x3147, 0x89de,
0x3141, 0x89dc, 0x313b, 0x89d9, 0x3135, 0x89d7, 0x312f, 0x89d5,
0x312a, 0x89d2, 0x3124, 0x89d0, 0x311e, 0x89cd, 0x3118, 0x89cb,
0x3112, 0x89c8, 0x310d, 0x89c6, 0x3107, 0x89c4, 0x3101, 0x89c1,
0x30fb, 0x89bf, 0x30f5, 0x89bc, 0x30f0, 0x89ba, 0x30ea, 0x89b8,
0x30e4, 0x89b5, 0x30de, 0x89b3, 0x30d8, 0x89b0, 0x30d3, 0x89ae,
0x30cd, 0x89ac, 0x30c7, 0x89a9, 0x30c1, 0x89a7, 0x30bb, 0x89a4,
0x30b6, 0x89a2, 0x30b0, 0x89a0, 0x30aa, 0x899d, 0x30a4, 0x899b,
0x309e, 0x8998, 0x3099, 0x8996, 0x3093, 0x8994, 0x308d, 0x8991,
0x3087, 0x898f, 0x3081, 0x898d, 0x307b, 0x898a, 0x3076, 0x8988,
0x3070, 0x8985, 0x306a, 0x8983, 0x3064, 0x8981, 0x305e, 0x897e,
0x3059, 0x897c, 0x3053, 0x897a, 0x304d, 0x8977, 0x3047, 0x8975,
0x3041, 0x8972, 0x303b, 0x8970, 0x3036, 0x896e, 0x3030, 0x896b,
0x302a, 0x8969, 0x3024, 0x8967, 0x301e, 0x8964, 0x3019, 0x8962,
0x3013, 0x8960, 0x300d, 0x895d, 0x3007, 0x895b, 0x3001, 0x8958,
0x2ffb, 0x8956, 0x2ff6, 0x8954, 0x2ff0, 0x8951, 0x2fea, 0x894f,
0x2fe4, 0x894d, 0x2fde, 0x894a, 0x2fd8, 0x8948, 0x2fd3, 0x8946,
0x2fcd, 0x8943, 0x2fc7, 0x8941, 0x2fc1, 0x893f, 0x2fbb, 0x893c,
0x2fb5, 0x893a, 0x2fb0, 0x8938, 0x2faa, 0x8935, 0x2fa4, 0x8933,
0x2f9e, 0x8931, 0x2f98, 0x892e, 0x2f92, 0x892c, 0x2f8d, 0x892a,
0x2f87, 0x8927, 0x2f81, 0x8925, 0x2f7b, 0x8923, 0x2f75, 0x8920,
0x2f6f, 0x891e, 0x2f6a, 0x891c, 0x2f64, 0x8919, 0x2f5e, 0x8917,
0x2f58, 0x8915, 0x2f52, 0x8912, 0x2f4c, 0x8910, 0x2f47, 0x890e,
0x2f41, 0x890b, 0x2f3b, 0x8909, 0x2f35, 0x8907, 0x2f2f, 0x8904,
0x2f29, 0x8902, 0x2f24, 0x8900, 0x2f1e, 0x88fd, 0x2f18, 0x88fb,
0x2f12, 0x88f9, 0x2f0c, 0x88f6, 0x2f06, 0x88f4, 0x2f01, 0x88f2,
0x2efb, 0x88f0, 0x2ef5, 0x88ed, 0x2eef, 0x88eb, 0x2ee9, 0x88e9,
0x2ee3, 0x88e6, 0x2edd, 0x88e4, 0x2ed8, 0x88e2, 0x2ed2, 0x88df,
0x2ecc, 0x88dd, 0x2ec6, 0x88db, 0x2ec0, 0x88d9, 0x2eba, 0x88d6,
0x2eb5, 0x88d4, 0x2eaf, 0x88d2, 0x2ea9, 0x88cf, 0x2ea3, 0x88cd,
0x2e9d, 0x88cb, 0x2e97, 0x88c8, 0x2e91, 0x88c6, 0x2e8c, 0x88c4,
0x2e86, 0x88c2, 0x2e80, 0x88bf, 0x2e7a, 0x88bd, 0x2e74, 0x88bb,
0x2e6e, 0x88b9, 0x2e68, 0x88b6, 0x2e63, 0x88b4, 0x2e5d, 0x88b2,
0x2e57, 0x88af, 0x2e51, 0x88ad, 0x2e4b, 0x88ab, 0x2e45, 0x88a9,
0x2e3f, 0x88a6, 0x2e3a, 0x88a4, 0x2e34, 0x88a2, 0x2e2e, 0x88a0,
0x2e28, 0x889d, 0x2e22, 0x889b, 0x2e1c, 0x8899, 0x2e16, 0x8896,
0x2e11, 0x8894, 0x2e0b, 0x8892, 0x2e05, 0x8890, 0x2dff, 0x888d,
0x2df9, 0x888b, 0x2df3, 0x8889, 0x2ded, 0x8887, 0x2de7, 0x8884,
0x2de2, 0x8882, 0x2ddc, 0x8880, 0x2dd6, 0x887e, 0x2dd0, 0x887b,
0x2dca, 0x8879, 0x2dc4, 0x8877, 0x2dbe, 0x8875, 0x2db9, 0x8872,
0x2db3, 0x8870, 0x2dad, 0x886e, 0x2da7, 0x886c, 0x2da1, 0x8869,
0x2d9b, 0x8867, 0x2d95, 0x8865, 0x2d8f, 0x8863, 0x2d8a, 0x8860,
0x2d84, 0x885e, 0x2d7e, 0x885c, 0x2d78, 0x885a, 0x2d72, 0x8858,
0x2d6c, 0x8855, 0x2d66, 0x8853, 0x2d60, 0x8851, 0x2d5b, 0x884f,
0x2d55, 0x884c, 0x2d4f, 0x884a, 0x2d49, 0x8848, 0x2d43, 0x8846,
0x2d3d, 0x8844, 0x2d37, 0x8841, 0x2d31, 0x883f, 0x2d2c, 0x883d,
0x2d26, 0x883b, 0x2d20, 0x8838, 0x2d1a, 0x8836, 0x2d14, 0x8834,
0x2d0e, 0x8832, 0x2d08, 0x8830, 0x2d02, 0x882d, 0x2cfd, 0x882b,
0x2cf7, 0x8829, 0x2cf1, 0x8827, 0x2ceb, 0x8825, 0x2ce5, 0x8822,
0x2cdf, 0x8820, 0x2cd9, 0x881e, 0x2cd3, 0x881c, 0x2ccd, 0x881a,
0x2cc8, 0x8817, 0x2cc2, 0x8815, 0x2cbc, 0x8813, 0x2cb6, 0x8811,
0x2cb0, 0x880f, 0x2caa, 0x880c, 0x2ca4, 0x880a, 0x2c9e, 0x8808,
0x2c98, 0x8806, 0x2c93, 0x8804, 0x2c8d, 0x8801, 0x2c87, 0x87ff,
0x2c81, 0x87fd, 0x2c7b, 0x87fb, 0x2c75, 0x87f9, 0x2c6f, 0x87f6,
0x2c69, 0x87f4, 0x2c63, 0x87f2, 0x2c5e, 0x87f0, 0x2c58, 0x87ee,
0x2c52, 0x87ec, 0x2c4c, 0x87e9, 0x2c46, 0x87e7, 0x2c40, 0x87e5,
0x2c3a, 0x87e3, 0x2c34, 0x87e1, 0x2c2e, 0x87df, 0x2c29, 0x87dc,
0x2c23, 0x87da, 0x2c1d, 0x87d8, 0x2c17, 0x87d6, 0x2c11, 0x87d4,
0x2c0b, 0x87d2, 0x2c05, 0x87cf, 0x2bff, 0x87cd, 0x2bf9, 0x87cb,
0x2bf3, 0x87c9, 0x2bee, 0x87c7, 0x2be8, 0x87c5, 0x2be2, 0x87c2,
0x2bdc, 0x87c0, 0x2bd6, 0x87be, 0x2bd0, 0x87bc, 0x2bca, 0x87ba,
0x2bc4, 0x87b8, 0x2bbe, 0x87b6, 0x2bb8, 0x87b3, 0x2bb2, 0x87b1,
0x2bad, 0x87af, 0x2ba7, 0x87ad, 0x2ba1, 0x87ab, 0x2b9b, 0x87a9,
0x2b95, 0x87a7, 0x2b8f, 0x87a4, 0x2b89, 0x87a2, 0x2b83, 0x87a0,
0x2b7d, 0x879e, 0x2b77, 0x879c, 0x2b71, 0x879a, 0x2b6c, 0x8798,
0x2b66, 0x8795, 0x2b60, 0x8793, 0x2b5a, 0x8791, 0x2b54, 0x878f,
0x2b4e, 0x878d, 0x2b48, 0x878b, 0x2b42, 0x8789, 0x2b3c, 0x8787,
0x2b36, 0x8784, 0x2b30, 0x8782, 0x2b2b, 0x8780, 0x2b25, 0x877e,
0x2b1f, 0x877c, 0x2b19, 0x877a, 0x2b13, 0x8778, 0x2b0d, 0x8776,
0x2b07, 0x8774, 0x2b01, 0x8771, 0x2afb, 0x876f, 0x2af5, 0x876d,
0x2aef, 0x876b, 0x2ae9, 0x8769, 0x2ae4, 0x8767, 0x2ade, 0x8765,
0x2ad8, 0x8763, 0x2ad2, 0x8761, 0x2acc, 0x875e, 0x2ac6, 0x875c,
0x2ac0, 0x875a, 0x2aba, 0x8758, 0x2ab4, 0x8756, 0x2aae, 0x8754,
0x2aa8, 0x8752, 0x2aa2, 0x8750, 0x2a9c, 0x874e, 0x2a97, 0x874c,
0x2a91, 0x874a, 0x2a8b, 0x8747, 0x2a85, 0x8745, 0x2a7f, 0x8743,
0x2a79, 0x8741, 0x2a73, 0x873f, 0x2a6d, 0x873d, 0x2a67, 0x873b,
0x2a61, 0x8739, 0x2a5b, 0x8737, 0x2a55, 0x8735, 0x2a4f, 0x8733,
0x2a49, 0x8731, 0x2a44, 0x872e, 0x2a3e, 0x872c, 0x2a38, 0x872a,
0x2a32, 0x8728, 0x2a2c, 0x8726, 0x2a26, 0x8724, 0x2a20, 0x8722,
0x2a1a, 0x8720, 0x2a14, 0x871e, 0x2a0e, 0x871c, 0x2a08, 0x871a,
0x2a02, 0x8718, 0x29fc, 0x8716, 0x29f6, 0x8714, 0x29f0, 0x8712,
0x29eb, 0x870f, 0x29e5, 0x870d, 0x29df, 0x870b, 0x29d9, 0x8709,
0x29d3, 0x8707, 0x29cd, 0x8705, 0x29c7, 0x8703, 0x29c1, 0x8701,
0x29bb, 0x86ff, 0x29b5, 0x86fd, 0x29af, 0x86fb, 0x29a9, 0x86f9,
0x29a3, 0x86f7, 0x299d, 0x86f5, 0x2997, 0x86f3, 0x2991, 0x86f1,
0x298b, 0x86ef, 0x2986, 0x86ed, 0x2980, 0x86eb, 0x297a, 0x86e9,
0x2974, 0x86e7, 0x296e, 0x86e4, 0x2968, 0x86e2, 0x2962, 0x86e0,
0x295c, 0x86de, 0x2956, 0x86dc, 0x2950, 0x86da, 0x294a, 0x86d8,
0x2944, 0x86d6, 0x293e, 0x86d4, 0x2938, 0x86d2, 0x2932, 0x86d0,
0x292c, 0x86ce, 0x2926, 0x86cc, 0x2920, 0x86ca, 0x291b, 0x86c8,
0x2915, 0x86c6, 0x290f, 0x86c4, 0x2909, 0x86c2, 0x2903, 0x86c0,
0x28fd, 0x86be, 0x28f7, 0x86bc, 0x28f1, 0x86ba, 0x28eb, 0x86b8,
0x28e5, 0x86b6, 0x28df, 0x86b4, 0x28d9, 0x86b2, 0x28d3, 0x86b0,
0x28cd, 0x86ae, 0x28c7, 0x86ac, 0x28c1, 0x86aa, 0x28bb, 0x86a8,
0x28b5, 0x86a6, 0x28af, 0x86a4, 0x28a9, 0x86a2, 0x28a3, 0x86a0,
0x289d, 0x869e, 0x2898, 0x869c, 0x2892, 0x869a, 0x288c, 0x8698,
0x2886, 0x8696, 0x2880, 0x8694, 0x287a, 0x8692, 0x2874, 0x8690,
0x286e, 0x868e, 0x2868, 0x868c, 0x2862, 0x868a, 0x285c, 0x8688,
0x2856, 0x8686, 0x2850, 0x8684, 0x284a, 0x8682, 0x2844, 0x8680,
0x283e, 0x867e, 0x2838, 0x867c, 0x2832, 0x867a, 0x282c, 0x8678,
0x2826, 0x8676, 0x2820, 0x8674, 0x281a, 0x8672, 0x2814, 0x8670,
0x280e, 0x866e, 0x2808, 0x866d, 0x2802, 0x866b, 0x27fc, 0x8669,
0x27f6, 0x8667, 0x27f1, 0x8665, 0x27eb, 0x8663, 0x27e5, 0x8661,
0x27df, 0x865f, 0x27d9, 0x865d, 0x27d3, 0x865b, 0x27cd, 0x8659,
0x27c7, 0x8657, 0x27c1, 0x8655, 0x27bb, 0x8653, 0x27b5, 0x8651,
0x27af, 0x864f, 0x27a9, 0x864d, 0x27a3, 0x864b, 0x279d, 0x8649,
0x2797, 0x8647, 0x2791, 0x8645, 0x278b, 0x8644, 0x2785, 0x8642,
0x277f, 0x8640, 0x2779, 0x863e, 0x2773, 0x863c, 0x276d, 0x863a,
0x2767, 0x8638, 0x2761, 0x8636, 0x275b, 0x8634, 0x2755, 0x8632,
0x274f, 0x8630, 0x2749, 0x862e, 0x2743, 0x862c, 0x273d, 0x862a,
0x2737, 0x8628, 0x2731, 0x8627, 0x272b, 0x8625, 0x2725, 0x8623,
0x271f, 0x8621, 0x2719, 0x861f, 0x2713, 0x861d, 0x270d, 0x861b,
0x2707, 0x8619, 0x2701, 0x8617, 0x26fb, 0x8615, 0x26f5, 0x8613,
0x26ef, 0x8611, 0x26e9, 0x8610, 0x26e4, 0x860e, 0x26de, 0x860c,
0x26d8, 0x860a, 0x26d2, 0x8608, 0x26cc, 0x8606, 0x26c6, 0x8604,
0x26c0, 0x8602, 0x26ba, 0x8600, 0x26b4, 0x85fe, 0x26ae, 0x85fc,
0x26a8, 0x85fb, 0x26a2, 0x85f9, 0x269c, 0x85f7, 0x2696, 0x85f5,
0x2690, 0x85f3, 0x268a, 0x85f1, 0x2684, 0x85ef, 0x267e, 0x85ed,
0x2678, 0x85eb, 0x2672, 0x85ea, 0x266c, 0x85e8, 0x2666, 0x85e6,
0x2660, 0x85e4, 0x265a, 0x85e2, 0x2654, 0x85e0, 0x264e, 0x85de,
0x2648, 0x85dc, 0x2642, 0x85da, 0x263c, 0x85d9, 0x2636, 0x85d7,
0x2630, 0x85d5, 0x262a, 0x85d3, 0x2624, 0x85d1, 0x261e, 0x85cf,
0x2618, 0x85cd, 0x2612, 0x85cb, 0x260c, 0x85ca, 0x2606, 0x85c8,
0x2600, 0x85c6, 0x25fa, 0x85c4, 0x25f4, 0x85c2, 0x25ee, 0x85c0,
0x25e8, 0x85be, 0x25e2, 0x85bd, 0x25dc, 0x85bb, 0x25d6, 0x85b9,
0x25d0, 0x85b7, 0x25ca, 0x85b5, 0x25c4, 0x85b3, 0x25be, 0x85b1,
0x25b8, 0x85b0, 0x25b2, 0x85ae, 0x25ac, 0x85ac, 0x25a6, 0x85aa,
0x25a0, 0x85a8, 0x259a, 0x85a6, 0x2594, 0x85a4, 0x258e, 0x85a3,
0x2588, 0x85a1, 0x2582, 0x859f, 0x257c, 0x859d, 0x2576, 0x859b,
0x2570, 0x8599, 0x256a, 0x8598, 0x2564, 0x8596, 0x255e, 0x8594,
0x2558, 0x8592, 0x2552, 0x8590, 0x254c, 0x858e, 0x2546, 0x858d,
0x2540, 0x858b, 0x253a, 0x8589, 0x2534, 0x8587, 0x252e, 0x8585,
0x2528, 0x8583, 0x2522, 0x8582, 0x251c, 0x8580, 0x2516, 0x857e,
0x250f, 0x857c, 0x2509, 0x857a, 0x2503, 0x8579, 0x24fd, 0x8577,
0x24f7, 0x8575, 0x24f1, 0x8573, 0x24eb, 0x8571, 0x24e5, 0x856f,
0x24df, 0x856e, 0x24d9, 0x856c, 0x24d3, 0x856a, 0x24cd, 0x8568,
0x24c7, 0x8566, 0x24c1, 0x8565, 0x24bb, 0x8563, 0x24b5, 0x8561,
0x24af, 0x855f, 0x24a9, 0x855d, 0x24a3, 0x855c, 0x249d, 0x855a,
0x2497, 0x8558, 0x2491, 0x8556, 0x248b, 0x8554, 0x2485, 0x8553,
0x247f, 0x8551, 0x2479, 0x854f, 0x2473, 0x854d, 0x246d, 0x854b,
0x2467, 0x854a, 0x2461, 0x8548, 0x245b, 0x8546, 0x2455, 0x8544,
0x244f, 0x8543, 0x2449, 0x8541, 0x2443, 0x853f, 0x243d, 0x853d,
0x2437, 0x853b, 0x2431, 0x853a, 0x242b, 0x8538, 0x2425, 0x8536,
0x241f, 0x8534, 0x2419, 0x8533, 0x2413, 0x8531, 0x240d, 0x852f,
0x2407, 0x852d, 0x2401, 0x852b, 0x23fa, 0x852a, 0x23f4, 0x8528,
0x23ee, 0x8526, 0x23e8, 0x8524, 0x23e2, 0x8523, 0x23dc, 0x8521,
0x23d6, 0x851f, 0x23d0, 0x851d, 0x23ca, 0x851c, 0x23c4, 0x851a,
0x23be, 0x8518, 0x23b8, 0x8516, 0x23b2, 0x8515, 0x23ac, 0x8513,
0x23a6, 0x8511, 0x23a0, 0x850f, 0x239a, 0x850e, 0x2394, 0x850c,
0x238e, 0x850a, 0x2388, 0x8508, 0x2382, 0x8507, 0x237c, 0x8505,
0x2376, 0x8503, 0x2370, 0x8501, 0x236a, 0x8500, 0x2364, 0x84fe,
0x235e, 0x84fc, 0x2358, 0x84fa, 0x2352, 0x84f9, 0x234b, 0x84f7,
0x2345, 0x84f5, 0x233f, 0x84f4, 0x2339, 0x84f2, 0x2333, 0x84f0,
0x232d, 0x84ee, 0x2327, 0x84ed, 0x2321, 0x84eb, 0x231b, 0x84e9,
0x2315, 0x84e7, 0x230f, 0x84e6, 0x2309, 0x84e4, 0x2303, 0x84e2,
0x22fd, 0x84e1, 0x22f7, 0x84df, 0x22f1, 0x84dd, 0x22eb, 0x84db,
0x22e5, 0x84da, 0x22df, 0x84d8, 0x22d9, 0x84d6, 0x22d3, 0x84d5,
0x22cd, 0x84d3, 0x22c7, 0x84d1, 0x22c0, 0x84cf, 0x22ba, 0x84ce,
0x22b4, 0x84cc, 0x22ae, 0x84ca, 0x22a8, 0x84c9, 0x22a2, 0x84c7,
0x229c, 0x84c5, 0x2296, 0x84c4, 0x2290, 0x84c2, 0x228a, 0x84c0,
0x2284, 0x84be, 0x227e, 0x84bd, 0x2278, 0x84bb, 0x2272, 0x84b9,
0x226c, 0x84b8, 0x2266, 0x84b6, 0x2260, 0x84b4, 0x225a, 0x84b3,
0x2254, 0x84b1, 0x224e, 0x84af, 0x2247, 0x84ae, 0x2241, 0x84ac,
0x223b, 0x84aa, 0x2235, 0x84a9, 0x222f, 0x84a7, 0x2229, 0x84a5,
0x2223, 0x84a3, 0x221d, 0x84a2, 0x2217, 0x84a0, 0x2211, 0x849e,
0x220b, 0x849d, 0x2205, 0x849b, 0x21ff, 0x8499, 0x21f9, 0x8498,
0x21f3, 0x8496, 0x21ed, 0x8494, 0x21e7, 0x8493, 0x21e1, 0x8491,
0x21da, 0x848f, 0x21d4, 0x848e, 0x21ce, 0x848c, 0x21c8, 0x848a,
0x21c2, 0x8489, 0x21bc, 0x8487, 0x21b6, 0x8486, 0x21b0, 0x8484,
0x21aa, 0x8482, 0x21a4, 0x8481, 0x219e, 0x847f, 0x2198, 0x847d,
0x2192, 0x847c, 0x218c, 0x847a, 0x2186, 0x8478, 0x2180, 0x8477,
0x2179, 0x8475, 0x2173, 0x8473, 0x216d, 0x8472, 0x2167, 0x8470,
0x2161, 0x846e, 0x215b, 0x846d, 0x2155, 0x846b, 0x214f, 0x846a,
0x2149, 0x8468, 0x2143, 0x8466, 0x213d, 0x8465, 0x2137, 0x8463,
0x2131, 0x8461, 0x212b, 0x8460, 0x2125, 0x845e, 0x211e, 0x845d,
0x2118, 0x845b, 0x2112, 0x8459, 0x210c, 0x8458, 0x2106, 0x8456,
0x2100, 0x8454, 0x20fa, 0x8453, 0x20f4, 0x8451, 0x20ee, 0x8450,
0x20e8, 0x844e, 0x20e2, 0x844c, 0x20dc, 0x844b, 0x20d6, 0x8449,
0x20d0, 0x8447, 0x20c9, 0x8446, 0x20c3, 0x8444, 0x20bd, 0x8443,
0x20b7, 0x8441, 0x20b1, 0x843f, 0x20ab, 0x843e, 0x20a5, 0x843c,
0x209f, 0x843b, 0x2099, 0x8439, 0x2093, 0x8437, 0x208d, 0x8436,
0x2087, 0x8434, 0x2081, 0x8433, 0x207a, 0x8431, 0x2074, 0x842f,
0x206e, 0x842e, 0x2068, 0x842c, 0x2062, 0x842b, 0x205c, 0x8429,
0x2056, 0x8427, 0x2050, 0x8426, 0x204a, 0x8424, 0x2044, 0x8423,
0x203e, 0x8421, 0x2038, 0x8420, 0x2032, 0x841e, 0x202b, 0x841c,
0x2025, 0x841b, 0x201f, 0x8419, 0x2019, 0x8418, 0x2013, 0x8416,
0x200d, 0x8415, 0x2007, 0x8413, 0x2001, 0x8411, 0x1ffb, 0x8410,
0x1ff5, 0x840e, 0x1fef, 0x840d, 0x1fe9, 0x840b, 0x1fe2, 0x840a,
0x1fdc, 0x8408, 0x1fd6, 0x8406, 0x1fd0, 0x8405, 0x1fca, 0x8403,
0x1fc4, 0x8402, 0x1fbe, 0x8400, 0x1fb8, 0x83ff, 0x1fb2, 0x83fd,
0x1fac, 0x83fb, 0x1fa6, 0x83fa, 0x1f9f, 0x83f8, 0x1f99, 0x83f7,
0x1f93, 0x83f5, 0x1f8d, 0x83f4, 0x1f87, 0x83f2, 0x1f81, 0x83f1,
0x1f7b, 0x83ef, 0x1f75, 0x83ee, 0x1f6f, 0x83ec, 0x1f69, 0x83ea,
0x1f63, 0x83e9, 0x1f5d, 0x83e7, 0x1f56, 0x83e6, 0x1f50, 0x83e4,
0x1f4a, 0x83e3, 0x1f44, 0x83e1, 0x1f3e, 0x83e0, 0x1f38, 0x83de,
0x1f32, 0x83dd, 0x1f2c, 0x83db, 0x1f26, 0x83da, 0x1f20, 0x83d8,
0x1f19, 0x83d7, 0x1f13, 0x83d5, 0x1f0d, 0x83d3, 0x1f07, 0x83d2,
0x1f01, 0x83d0, 0x1efb, 0x83cf, 0x1ef5, 0x83cd, 0x1eef, 0x83cc,
0x1ee9, 0x83ca, 0x1ee3, 0x83c9, 0x1edd, 0x83c7, 0x1ed6, 0x83c6,
0x1ed0, 0x83c4, 0x1eca, 0x83c3, 0x1ec4, 0x83c1, 0x1ebe, 0x83c0,
0x1eb8, 0x83be, 0x1eb2, 0x83bd, 0x1eac, 0x83bb, 0x1ea6, 0x83ba,
0x1ea0, 0x83b8, 0x1e99, 0x83b7, 0x1e93, 0x83b5, 0x1e8d, 0x83b4,
0x1e87, 0x83b2, 0x1e81, 0x83b1, 0x1e7b, 0x83af, 0x1e75, 0x83ae,
0x1e6f, 0x83ac, 0x1e69, 0x83ab, 0x1e62, 0x83a9, 0x1e5c, 0x83a8,
0x1e56, 0x83a6, 0x1e50, 0x83a5, 0x1e4a, 0x83a3, 0x1e44, 0x83a2,
0x1e3e, 0x83a0, 0x1e38, 0x839f, 0x1e32, 0x839d, 0x1e2c, 0x839c,
0x1e25, 0x839a, 0x1e1f, 0x8399, 0x1e19, 0x8397, 0x1e13, 0x8396,
0x1e0d, 0x8394, 0x1e07, 0x8393, 0x1e01, 0x8392, 0x1dfb, 0x8390,
0x1df5, 0x838f, 0x1dee, 0x838d, 0x1de8, 0x838c, 0x1de2, 0x838a,
0x1ddc, 0x8389, 0x1dd6, 0x8387, 0x1dd0, 0x8386, 0x1dca, 0x8384,
0x1dc4, 0x8383, 0x1dbe, 0x8381, 0x1db7, 0x8380, 0x1db1, 0x837e,
0x1dab, 0x837d, 0x1da5, 0x837c, 0x1d9f, 0x837a, 0x1d99, 0x8379,
0x1d93, 0x8377, 0x1d8d, 0x8376, 0x1d87, 0x8374, 0x1d80, 0x8373,
0x1d7a, 0x8371, 0x1d74, 0x8370, 0x1d6e, 0x836f, 0x1d68, 0x836d,
0x1d62, 0x836c, 0x1d5c, 0x836a, 0x1d56, 0x8369, 0x1d50, 0x8367,
0x1d49, 0x8366, 0x1d43, 0x8364, 0x1d3d, 0x8363, 0x1d37, 0x8362,
0x1d31, 0x8360, 0x1d2b, 0x835f, 0x1d25, 0x835d, 0x1d1f, 0x835c,
0x1d18, 0x835a, 0x1d12, 0x8359, 0x1d0c, 0x8358, 0x1d06, 0x8356,
0x1d00, 0x8355, 0x1cfa, 0x8353, 0x1cf4, 0x8352, 0x1cee, 0x8350,
0x1ce8, 0x834f, 0x1ce1, 0x834e, 0x1cdb, 0x834c, 0x1cd5, 0x834b,
0x1ccf, 0x8349, 0x1cc9, 0x8348, 0x1cc3, 0x8347, 0x1cbd, 0x8345,
0x1cb7, 0x8344, 0x1cb0, 0x8342, 0x1caa, 0x8341, 0x1ca4, 0x833f,
0x1c9e, 0x833e, 0x1c98, 0x833d, 0x1c92, 0x833b, 0x1c8c, 0x833a,
0x1c86, 0x8338, 0x1c7f, 0x8337, 0x1c79, 0x8336, 0x1c73, 0x8334,
0x1c6d, 0x8333, 0x1c67, 0x8331, 0x1c61, 0x8330, 0x1c5b, 0x832f,
0x1c55, 0x832d, 0x1c4e, 0x832c, 0x1c48, 0x832b, 0x1c42, 0x8329,
0x1c3c, 0x8328, 0x1c36, 0x8326, 0x1c30, 0x8325, 0x1c2a, 0x8324,
0x1c24, 0x8322, 0x1c1d, 0x8321, 0x1c17, 0x831f, 0x1c11, 0x831e,
0x1c0b, 0x831d, 0x1c05, 0x831b, 0x1bff, 0x831a, 0x1bf9, 0x8319,
0x1bf2, 0x8317, 0x1bec, 0x8316, 0x1be6, 0x8314, 0x1be0, 0x8313,
0x1bda, 0x8312, 0x1bd4, 0x8310, 0x1bce, 0x830f, 0x1bc8, 0x830e,
0x1bc1, 0x830c, 0x1bbb, 0x830b, 0x1bb5, 0x830a, 0x1baf, 0x8308,
0x1ba9, 0x8307, 0x1ba3, 0x8305, 0x1b9d, 0x8304, 0x1b96, 0x8303,
0x1b90, 0x8301, 0x1b8a, 0x8300, 0x1b84, 0x82ff, 0x1b7e, 0x82fd,
0x1b78, 0x82fc, 0x1b72, 0x82fb, 0x1b6c, 0x82f9, 0x1b65, 0x82f8,
0x1b5f, 0x82f7, 0x1b59, 0x82f5, 0x1b53, 0x82f4, 0x1b4d, 0x82f3,
0x1b47, 0x82f1, 0x1b41, 0x82f0, 0x1b3a, 0x82ef, 0x1b34, 0x82ed,
0x1b2e, 0x82ec, 0x1b28, 0x82eb, 0x1b22, 0x82e9, 0x1b1c, 0x82e8,
0x1b16, 0x82e7, 0x1b0f, 0x82e5, 0x1b09, 0x82e4, 0x1b03, 0x82e3,
0x1afd, 0x82e1, 0x1af7, 0x82e0, 0x1af1, 0x82df, 0x1aeb, 0x82dd,
0x1ae4, 0x82dc, 0x1ade, 0x82db, 0x1ad8, 0x82d9, 0x1ad2, 0x82d8,
0x1acc, 0x82d7, 0x1ac6, 0x82d5, 0x1ac0, 0x82d4, 0x1ab9, 0x82d3,
0x1ab3, 0x82d1, 0x1aad, 0x82d0, 0x1aa7, 0x82cf, 0x1aa1, 0x82ce,
0x1a9b, 0x82cc, 0x1a95, 0x82cb, 0x1a8e, 0x82ca, 0x1a88, 0x82c8,
0x1a82, 0x82c7, 0x1a7c, 0x82c6, 0x1a76, 0x82c4, 0x1a70, 0x82c3,
0x1a6a, 0x82c2, 0x1a63, 0x82c1, 0x1a5d, 0x82bf, 0x1a57, 0x82be,
0x1a51, 0x82bd, 0x1a4b, 0x82bb, 0x1a45, 0x82ba, 0x1a3e, 0x82b9,
0x1a38, 0x82b7, 0x1a32, 0x82b6, 0x1a2c, 0x82b5, 0x1a26, 0x82b4,
0x1a20, 0x82b2, 0x1a1a, 0x82b1, 0x1a13, 0x82b0, 0x1a0d, 0x82ae,
0x1a07, 0x82ad, 0x1a01, 0x82ac, 0x19fb, 0x82ab, 0x19f5, 0x82a9,
0x19ef, 0x82a8, 0x19e8, 0x82a7, 0x19e2, 0x82a6, 0x19dc, 0x82a4,
0x19d6, 0x82a3, 0x19d0, 0x82a2, 0x19ca, 0x82a0, 0x19c3, 0x829f,
0x19bd, 0x829e, 0x19b7, 0x829d, 0x19b1, 0x829b, 0x19ab, 0x829a,
0x19a5, 0x8299, 0x199f, 0x8298, 0x1998, 0x8296, 0x1992, 0x8295,
0x198c, 0x8294, 0x1986, 0x8293, 0x1980, 0x8291, 0x197a, 0x8290,
0x1973, 0x828f, 0x196d, 0x828e, 0x1967, 0x828c, 0x1961, 0x828b,
0x195b, 0x828a, 0x1955, 0x8289, 0x194e, 0x8287, 0x1948, 0x8286,
0x1942, 0x8285, 0x193c, 0x8284, 0x1936, 0x8282, 0x1930, 0x8281,
0x192a, 0x8280, 0x1923, 0x827f, 0x191d, 0x827e, 0x1917, 0x827c,
0x1911, 0x827b, 0x190b, 0x827a, 0x1905, 0x8279, 0x18fe, 0x8277,
0x18f8, 0x8276, 0x18f2, 0x8275, 0x18ec, 0x8274, 0x18e6, 0x8272,
0x18e0, 0x8271, 0x18d9, 0x8270, 0x18d3, 0x826f, 0x18cd, 0x826e,
0x18c7, 0x826c, 0x18c1, 0x826b, 0x18bb, 0x826a, 0x18b4, 0x8269,
0x18ae, 0x8268, 0x18a8, 0x8266, 0x18a2, 0x8265, 0x189c, 0x8264,
0x1896, 0x8263, 0x188f, 0x8261, 0x1889, 0x8260, 0x1883, 0x825f,
0x187d, 0x825e, 0x1877, 0x825d, 0x1871, 0x825b, 0x186a, 0x825a,
0x1864, 0x8259, 0x185e, 0x8258, 0x1858, 0x8257, 0x1852, 0x8255,
0x184c, 0x8254, 0x1845, 0x8253, 0x183f, 0x8252, 0x1839, 0x8251,
0x1833, 0x8250, 0x182d, 0x824e, 0x1827, 0x824d, 0x1820, 0x824c,
0x181a, 0x824b, 0x1814, 0x824a, 0x180e, 0x8248, 0x1808, 0x8247,
0x1802, 0x8246, 0x17fb, 0x8245, 0x17f5, 0x8244, 0x17ef, 0x8243,
0x17e9, 0x8241, 0x17e3, 0x8240, 0x17dd, 0x823f, 0x17d6, 0x823e,
0x17d0, 0x823d, 0x17ca, 0x823b, 0x17c4, 0x823a, 0x17be, 0x8239,
0x17b7, 0x8238, 0x17b1, 0x8237, 0x17ab, 0x8236, 0x17a5, 0x8234,
0x179f, 0x8233, 0x1799, 0x8232, 0x1792, 0x8231, 0x178c, 0x8230,
0x1786, 0x822f, 0x1780, 0x822e, 0x177a, 0x822c, 0x1774, 0x822b,
0x176d, 0x822a, 0x1767, 0x8229, 0x1761, 0x8228, 0x175b, 0x8227,
0x1755, 0x8226, 0x174e, 0x8224, 0x1748, 0x8223, 0x1742, 0x8222,
0x173c, 0x8221, 0x1736, 0x8220, 0x1730, 0x821f, 0x1729, 0x821e,
0x1723, 0x821c, 0x171d, 0x821b, 0x1717, 0x821a, 0x1711, 0x8219,
0x170a, 0x8218, 0x1704, 0x8217, 0x16fe, 0x8216, 0x16f8, 0x8214,
0x16f2, 0x8213, 0x16ec, 0x8212, 0x16e5, 0x8211, 0x16df, 0x8210,
0x16d9, 0x820f, 0x16d3, 0x820e, 0x16cd, 0x820d, 0x16c6, 0x820b,
0x16c0, 0x820a, 0x16ba, 0x8209, 0x16b4, 0x8208, 0x16ae, 0x8207,
0x16a8, 0x8206, 0x16a1, 0x8205, 0x169b, 0x8204, 0x1695, 0x8203,
0x168f, 0x8201, 0x1689, 0x8200, 0x1682, 0x81ff, 0x167c, 0x81fe,
0x1676, 0x81fd, 0x1670, 0x81fc, 0x166a, 0x81fb, 0x1664, 0x81fa,
0x165d, 0x81f9, 0x1657, 0x81f8, 0x1651, 0x81f6, 0x164b, 0x81f5,
0x1645, 0x81f4, 0x163e, 0x81f3, 0x1638, 0x81f2, 0x1632, 0x81f1,
0x162c, 0x81f0, 0x1626, 0x81ef, 0x161f, 0x81ee, 0x1619, 0x81ed,
0x1613, 0x81ec, 0x160d, 0x81ea, 0x1607, 0x81e9, 0x1601, 0x81e8,
0x15fa, 0x81e7, 0x15f4, 0x81e6, 0x15ee, 0x81e5, 0x15e8, 0x81e4,
0x15e2, 0x81e3, 0x15db, 0x81e2, 0x15d5, 0x81e1, 0x15cf, 0x81e0,
0x15c9, 0x81df, 0x15c3, 0x81de, 0x15bc, 0x81dc, 0x15b6, 0x81db,
0x15b0, 0x81da, 0x15aa, 0x81d9, 0x15a4, 0x81d8, 0x159d, 0x81d7,
0x1597, 0x81d6, 0x1591, 0x81d5, 0x158b, 0x81d4, 0x1585, 0x81d3,
0x157f, 0x81d2, 0x1578, 0x81d1, 0x1572, 0x81d0, 0x156c, 0x81cf,
0x1566, 0x81ce, 0x1560, 0x81cd, 0x1559, 0x81cc, 0x1553, 0x81cb,
0x154d, 0x81c9, 0x1547, 0x81c8, 0x1541, 0x81c7, 0x153a, 0x81c6,
0x1534, 0x81c5, 0x152e, 0x81c4, 0x1528, 0x81c3, 0x1522, 0x81c2,
0x151b, 0x81c1, 0x1515, 0x81c0, 0x150f, 0x81bf, 0x1509, 0x81be,
0x1503, 0x81bd, 0x14fc, 0x81bc, 0x14f6, 0x81bb, 0x14f0, 0x81ba,
0x14ea, 0x81b9, 0x14e4, 0x81b8, 0x14dd, 0x81b7, 0x14d7, 0x81b6,
0x14d1, 0x81b5, 0x14cb, 0x81b4, 0x14c5, 0x81b3, 0x14be, 0x81b2,
0x14b8, 0x81b1, 0x14b2, 0x81b0, 0x14ac, 0x81af, 0x14a6, 0x81ae,
0x149f, 0x81ad, 0x1499, 0x81ac, 0x1493, 0x81ab, 0x148d, 0x81aa,
0x1487, 0x81a9, 0x1480, 0x81a8, 0x147a, 0x81a7, 0x1474, 0x81a6,
0x146e, 0x81a5, 0x1468, 0x81a4, 0x1461, 0x81a3, 0x145b, 0x81a2,
0x1455, 0x81a1, 0x144f, 0x81a0, 0x1449, 0x819f, 0x1442, 0x819e,
0x143c, 0x819d, 0x1436, 0x819c, 0x1430, 0x819b, 0x142a, 0x819a,
0x1423, 0x8199, 0x141d, 0x8198, 0x1417, 0x8197, 0x1411, 0x8196,
0x140b, 0x8195, 0x1404, 0x8194, 0x13fe, 0x8193, 0x13f8, 0x8192,
0x13f2, 0x8191, 0x13eb, 0x8190, 0x13e5, 0x818f, 0x13df, 0x818e,
0x13d9, 0x818d, 0x13d3, 0x818c, 0x13cc, 0x818b, 0x13c6, 0x818a,
0x13c0, 0x8189, 0x13ba, 0x8188, 0x13b4, 0x8187, 0x13ad, 0x8186,
0x13a7, 0x8185, 0x13a1, 0x8184, 0x139b, 0x8183, 0x1395, 0x8182,
0x138e, 0x8181, 0x1388, 0x8180, 0x1382, 0x817f, 0x137c, 0x817e,
0x1376, 0x817d, 0x136f, 0x817c, 0x1369, 0x817c, 0x1363, 0x817b,
0x135d, 0x817a, 0x1356, 0x8179, 0x1350, 0x8178, 0x134a, 0x8177,
0x1344, 0x8176, 0x133e, 0x8175, 0x1337, 0x8174, 0x1331, 0x8173,
0x132b, 0x8172, 0x1325, 0x8171, 0x131f, 0x8170, 0x1318, 0x816f,
0x1312, 0x816e, 0x130c, 0x816d, 0x1306, 0x816c, 0x12ff, 0x816c,
0x12f9, 0x816b, 0x12f3, 0x816a, 0x12ed, 0x8169, 0x12e7, 0x8168,
0x12e0, 0x8167, 0x12da, 0x8166, 0x12d4, 0x8165, 0x12ce, 0x8164,
0x12c8, 0x8163, 0x12c1, 0x8162, 0x12bb, 0x8161, 0x12b5, 0x8160,
0x12af, 0x815f, 0x12a8, 0x815f, 0x12a2, 0x815e, 0x129c, 0x815d,
0x1296, 0x815c, 0x1290, 0x815b, 0x1289, 0x815a, 0x1283, 0x8159,
0x127d, 0x8158, 0x1277, 0x8157, 0x1271, 0x8156, 0x126a, 0x8155,
0x1264, 0x8155, 0x125e, 0x8154, 0x1258, 0x8153, 0x1251, 0x8152,
0x124b, 0x8151, 0x1245, 0x8150, 0x123f, 0x814f, 0x1239, 0x814e,
0x1232, 0x814d, 0x122c, 0x814c, 0x1226, 0x814c, 0x1220, 0x814b,
0x1219, 0x814a, 0x1213, 0x8149, 0x120d, 0x8148, 0x1207, 0x8147,
0x1201, 0x8146, 0x11fa, 0x8145, 0x11f4, 0x8145, 0x11ee, 0x8144,
0x11e8, 0x8143, 0x11e1, 0x8142, 0x11db, 0x8141, 0x11d5, 0x8140,
0x11cf, 0x813f, 0x11c9, 0x813e, 0x11c2, 0x813d, 0x11bc, 0x813d,
0x11b6, 0x813c, 0x11b0, 0x813b, 0x11a9, 0x813a, 0x11a3, 0x8139,
0x119d, 0x8138, 0x1197, 0x8137, 0x1191, 0x8137, 0x118a, 0x8136,
0x1184, 0x8135, 0x117e, 0x8134, 0x1178, 0x8133, 0x1171, 0x8132,
0x116b, 0x8131, 0x1165, 0x8131, 0x115f, 0x8130, 0x1159, 0x812f,
0x1152, 0x812e, 0x114c, 0x812d, 0x1146, 0x812c, 0x1140, 0x812b,
0x1139, 0x812b, 0x1133, 0x812a, 0x112d, 0x8129, 0x1127, 0x8128,
0x1121, 0x8127, 0x111a, 0x8126, 0x1114, 0x8126, 0x110e, 0x8125,
0x1108, 0x8124, 0x1101, 0x8123, 0x10fb, 0x8122, 0x10f5, 0x8121,
0x10ef, 0x8121, 0x10e8, 0x8120, 0x10e2, 0x811f, 0x10dc, 0x811e,
0x10d6, 0x811d, 0x10d0, 0x811c, 0x10c9, 0x811c, 0x10c3, 0x811b,
0x10bd, 0x811a, 0x10b7, 0x8119, 0x10b0, 0x8118, 0x10aa, 0x8117,
0x10a4, 0x8117, 0x109e, 0x8116, 0x1098, 0x8115, 0x1091, 0x8114,
0x108b, 0x8113, 0x1085, 0x8113, 0x107f, 0x8112, 0x1078, 0x8111,
0x1072, 0x8110, 0x106c, 0x810f, 0x1066, 0x810f, 0x105f, 0x810e,
0x1059, 0x810d, 0x1053, 0x810c, 0x104d, 0x810b, 0x1047, 0x810b,
0x1040, 0x810a, 0x103a, 0x8109, 0x1034, 0x8108, 0x102e, 0x8107,
0x1027, 0x8107, 0x1021, 0x8106, 0x101b, 0x8105, 0x1015, 0x8104,
0x100e, 0x8103, 0x1008, 0x8103, 0x1002, 0x8102, 0xffc, 0x8101,
0xff5, 0x8100, 0xfef, 0x80ff, 0xfe9, 0x80ff, 0xfe3, 0x80fe,
0xfdd, 0x80fd, 0xfd6, 0x80fc, 0xfd0, 0x80fc, 0xfca, 0x80fb,
0xfc4, 0x80fa, 0xfbd, 0x80f9, 0xfb7, 0x80f8, 0xfb1, 0x80f8,
0xfab, 0x80f7, 0xfa4, 0x80f6, 0xf9e, 0x80f5, 0xf98, 0x80f5,
0xf92, 0x80f4, 0xf8b, 0x80f3, 0xf85, 0x80f2, 0xf7f, 0x80f2,
0xf79, 0x80f1, 0xf73, 0x80f0, 0xf6c, 0x80ef, 0xf66, 0x80ef,
0xf60, 0x80ee, 0xf5a, 0x80ed, 0xf53, 0x80ec, 0xf4d, 0x80ec,
0xf47, 0x80eb, 0xf41, 0x80ea, 0xf3a, 0x80e9, 0xf34, 0x80e9,
0xf2e, 0x80e8, 0xf28, 0x80e7, 0xf21, 0x80e6, 0xf1b, 0x80e6,
0xf15, 0x80e5, 0xf0f, 0x80e4, 0xf08, 0x80e3, 0xf02, 0x80e3,
0xefc, 0x80e2, 0xef6, 0x80e1, 0xef0, 0x80e0, 0xee9, 0x80e0,
0xee3, 0x80df, 0xedd, 0x80de, 0xed7, 0x80dd, 0xed0, 0x80dd,
0xeca, 0x80dc, 0xec4, 0x80db, 0xebe, 0x80db, 0xeb7, 0x80da,
0xeb1, 0x80d9, 0xeab, 0x80d8, 0xea5, 0x80d8, 0xe9e, 0x80d7,
0xe98, 0x80d6, 0xe92, 0x80d6, 0xe8c, 0x80d5, 0xe85, 0x80d4,
0xe7f, 0x80d3, 0xe79, 0x80d3, 0xe73, 0x80d2, 0xe6c, 0x80d1,
0xe66, 0x80d1, 0xe60, 0x80d0, 0xe5a, 0x80cf, 0xe53, 0x80ce,
0xe4d, 0x80ce, 0xe47, 0x80cd, 0xe41, 0x80cc, 0xe3a, 0x80cc,
0xe34, 0x80cb, 0xe2e, 0x80ca, 0xe28, 0x80ca, 0xe22, 0x80c9,
0xe1b, 0x80c8, 0xe15, 0x80c7, 0xe0f, 0x80c7, 0xe09, 0x80c6,
0xe02, 0x80c5, 0xdfc, 0x80c5, 0xdf6, 0x80c4, 0xdf0, 0x80c3,
0xde9, 0x80c3, 0xde3, 0x80c2, 0xddd, 0x80c1, 0xdd7, 0x80c1,
0xdd0, 0x80c0, 0xdca, 0x80bf, 0xdc4, 0x80bf, 0xdbe, 0x80be,
0xdb7, 0x80bd, 0xdb1, 0x80bd, 0xdab, 0x80bc, 0xda5, 0x80bb,
0xd9e, 0x80bb, 0xd98, 0x80ba, 0xd92, 0x80b9, 0xd8c, 0x80b9,
0xd85, 0x80b8, 0xd7f, 0x80b7, 0xd79, 0x80b7, 0xd73, 0x80b6,
0xd6c, 0x80b5, 0xd66, 0x80b5, 0xd60, 0x80b4, 0xd5a, 0x80b3,
0xd53, 0x80b3, 0xd4d, 0x80b2, 0xd47, 0x80b1, 0xd41, 0x80b1,
0xd3a, 0x80b0, 0xd34, 0x80af, 0xd2e, 0x80af, 0xd28, 0x80ae,
0xd21, 0x80ad, 0xd1b, 0x80ad, 0xd15, 0x80ac, 0xd0f, 0x80ab,
0xd08, 0x80ab, 0xd02, 0x80aa, 0xcfc, 0x80aa, 0xcf6, 0x80a9,
0xcef, 0x80a8, 0xce9, 0x80a8, 0xce3, 0x80a7, 0xcdd, 0x80a6,
0xcd6, 0x80a6, 0xcd0, 0x80a5, 0xcca, 0x80a5, 0xcc4, 0x80a4,
0xcbd, 0x80a3, 0xcb7, 0x80a3, 0xcb1, 0x80a2, 0xcab, 0x80a1,
0xca4, 0x80a1, 0xc9e, 0x80a0, 0xc98, 0x80a0, 0xc92, 0x809f,
0xc8b, 0x809e, 0xc85, 0x809e, 0xc7f, 0x809d, 0xc79, 0x809c,
0xc72, 0x809c, 0xc6c, 0x809b, 0xc66, 0x809b, 0xc60, 0x809a,
0xc59, 0x8099, 0xc53, 0x8099, 0xc4d, 0x8098, 0xc47, 0x8098,
0xc40, 0x8097, 0xc3a, 0x8096, 0xc34, 0x8096, 0xc2e, 0x8095,
0xc27, 0x8095, 0xc21, 0x8094, 0xc1b, 0x8093, 0xc14, 0x8093,
0xc0e, 0x8092, 0xc08, 0x8092, 0xc02, 0x8091, 0xbfb, 0x8090,
0xbf5, 0x8090, 0xbef, 0x808f, 0xbe9, 0x808f, 0xbe2, 0x808e,
0xbdc, 0x808e, 0xbd6, 0x808d, 0xbd0, 0x808c, 0xbc9, 0x808c,
0xbc3, 0x808b, 0xbbd, 0x808b, 0xbb7, 0x808a, 0xbb0, 0x8089,
0xbaa, 0x8089, 0xba4, 0x8088, 0xb9e, 0x8088, 0xb97, 0x8087,
0xb91, 0x8087, 0xb8b, 0x8086, 0xb85, 0x8085, 0xb7e, 0x8085,
0xb78, 0x8084, 0xb72, 0x8084, 0xb6c, 0x8083, 0xb65, 0x8083,
0xb5f, 0x8082, 0xb59, 0x8082, 0xb53, 0x8081, 0xb4c, 0x8080,
0xb46, 0x8080, 0xb40, 0x807f, 0xb3a, 0x807f, 0xb33, 0x807e,
0xb2d, 0x807e, 0xb27, 0x807d, 0xb20, 0x807d, 0xb1a, 0x807c,
0xb14, 0x807b, 0xb0e, 0x807b, 0xb07, 0x807a, 0xb01, 0x807a,
0xafb, 0x8079, 0xaf5, 0x8079, 0xaee, 0x8078, 0xae8, 0x8078,
0xae2, 0x8077, 0xadc, 0x8077, 0xad5, 0x8076, 0xacf, 0x8076,
0xac9, 0x8075, 0xac3, 0x8075, 0xabc, 0x8074, 0xab6, 0x8073,
0xab0, 0x8073, 0xaaa, 0x8072, 0xaa3, 0x8072, 0xa9d, 0x8071,
0xa97, 0x8071, 0xa90, 0x8070, 0xa8a, 0x8070, 0xa84, 0x806f,
0xa7e, 0x806f, 0xa77, 0x806e, 0xa71, 0x806e, 0xa6b, 0x806d,
0xa65, 0x806d, 0xa5e, 0x806c, 0xa58, 0x806c, 0xa52, 0x806b,
0xa4c, 0x806b, 0xa45, 0x806a, 0xa3f, 0x806a, 0xa39, 0x8069,
0xa33, 0x8069, 0xa2c, 0x8068, 0xa26, 0x8068, 0xa20, 0x8067,
0xa19, 0x8067, 0xa13, 0x8066, 0xa0d, 0x8066, 0xa07, 0x8065,
0xa00, 0x8065, 0x9fa, 0x8064, 0x9f4, 0x8064, 0x9ee, 0x8063,
0x9e7, 0x8063, 0x9e1, 0x8062, 0x9db, 0x8062, 0x9d5, 0x8061,
0x9ce, 0x8061, 0x9c8, 0x8060, 0x9c2, 0x8060, 0x9bc, 0x805f,
0x9b5, 0x805f, 0x9af, 0x805e, 0x9a9, 0x805e, 0x9a2, 0x805d,
0x99c, 0x805d, 0x996, 0x805d, 0x990, 0x805c, 0x989, 0x805c,
0x983, 0x805b, 0x97d, 0x805b, 0x977, 0x805a, 0x970, 0x805a,
0x96a, 0x8059, 0x964, 0x8059, 0x95e, 0x8058, 0x957, 0x8058,
0x951, 0x8057, 0x94b, 0x8057, 0x944, 0x8057, 0x93e, 0x8056,
0x938, 0x8056, 0x932, 0x8055, 0x92b, 0x8055, 0x925, 0x8054,
0x91f, 0x8054, 0x919, 0x8053, 0x912, 0x8053, 0x90c, 0x8052,
0x906, 0x8052, 0x900, 0x8052, 0x8f9, 0x8051, 0x8f3, 0x8051,
0x8ed, 0x8050, 0x8e6, 0x8050, 0x8e0, 0x804f, 0x8da, 0x804f,
0x8d4, 0x804f, 0x8cd, 0x804e, 0x8c7, 0x804e, 0x8c1, 0x804d,
0x8bb, 0x804d, 0x8b4, 0x804c, 0x8ae, 0x804c, 0x8a8, 0x804c,
0x8a2, 0x804b, 0x89b, 0x804b, 0x895, 0x804a, 0x88f, 0x804a,
0x888, 0x8049, 0x882, 0x8049, 0x87c, 0x8049, 0x876, 0x8048,
0x86f, 0x8048, 0x869, 0x8047, 0x863, 0x8047, 0x85d, 0x8047,
0x856, 0x8046, 0x850, 0x8046, 0x84a, 0x8045, 0x843, 0x8045,
0x83d, 0x8044, 0x837, 0x8044, 0x831, 0x8044, 0x82a, 0x8043,
0x824, 0x8043, 0x81e, 0x8042, 0x818, 0x8042, 0x811, 0x8042,
0x80b, 0x8041, 0x805, 0x8041, 0x7fe, 0x8040, 0x7f8, 0x8040,
0x7f2, 0x8040, 0x7ec, 0x803f, 0x7e5, 0x803f, 0x7df, 0x803f,
0x7d9, 0x803e, 0x7d3, 0x803e, 0x7cc, 0x803d, 0x7c6, 0x803d,
0x7c0, 0x803d, 0x7ba, 0x803c, 0x7b3, 0x803c, 0x7ad, 0x803b,
0x7a7, 0x803b, 0x7a0, 0x803b, 0x79a, 0x803a, 0x794, 0x803a,
0x78e, 0x803a, 0x787, 0x8039, 0x781, 0x8039, 0x77b, 0x8039,
0x775, 0x8038, 0x76e, 0x8038, 0x768, 0x8037, 0x762, 0x8037,
0x75b, 0x8037, 0x755, 0x8036, 0x74f, 0x8036, 0x749, 0x8036,
0x742, 0x8035, 0x73c, 0x8035, 0x736, 0x8035, 0x730, 0x8034,
0x729, 0x8034, 0x723, 0x8033, 0x71d, 0x8033, 0x716, 0x8033,
0x710, 0x8032, 0x70a, 0x8032, 0x704, 0x8032, 0x6fd, 0x8031,
0x6f7, 0x8031, 0x6f1, 0x8031, 0x6ea, 0x8030, 0x6e4, 0x8030,
0x6de, 0x8030, 0x6d8, 0x802f, 0x6d1, 0x802f, 0x6cb, 0x802f,
0x6c5, 0x802e, 0x6bf, 0x802e, 0x6b8, 0x802e, 0x6b2, 0x802d,
0x6ac, 0x802d, 0x6a5, 0x802d, 0x69f, 0x802c, 0x699, 0x802c,
0x693, 0x802c, 0x68c, 0x802b, 0x686, 0x802b, 0x680, 0x802b,
0x67a, 0x802a, 0x673, 0x802a, 0x66d, 0x802a, 0x667, 0x802a,
0x660, 0x8029, 0x65a, 0x8029, 0x654, 0x8029, 0x64e, 0x8028,
0x647, 0x8028, 0x641, 0x8028, 0x63b, 0x8027, 0x635, 0x8027,
0x62e, 0x8027, 0x628, 0x8026, 0x622, 0x8026, 0x61b, 0x8026,
0x615, 0x8026, 0x60f, 0x8025, 0x609, 0x8025, 0x602, 0x8025,
0x5fc, 0x8024, 0x5f6, 0x8024, 0x5ef, 0x8024, 0x5e9, 0x8023,
0x5e3, 0x8023, 0x5dd, 0x8023, 0x5d6, 0x8023, 0x5d0, 0x8022,
0x5ca, 0x8022, 0x5c4, 0x8022, 0x5bd, 0x8021, 0x5b7, 0x8021,
0x5b1, 0x8021, 0x5aa, 0x8021, 0x5a4, 0x8020, 0x59e, 0x8020,
0x598, 0x8020, 0x591, 0x8020, 0x58b, 0x801f, 0x585, 0x801f,
0x57f, 0x801f, 0x578, 0x801e, 0x572, 0x801e, 0x56c, 0x801e,
0x565, 0x801e, 0x55f, 0x801d, 0x559, 0x801d, 0x553, 0x801d,
0x54c, 0x801d, 0x546, 0x801c, 0x540, 0x801c, 0x539, 0x801c,
0x533, 0x801c, 0x52d, 0x801b, 0x527, 0x801b, 0x520, 0x801b,
0x51a, 0x801b, 0x514, 0x801a, 0x50d, 0x801a, 0x507, 0x801a,
0x501, 0x801a, 0x4fb, 0x8019, 0x4f4, 0x8019, 0x4ee, 0x8019,
0x4e8, 0x8019, 0x4e2, 0x8018, 0x4db, 0x8018, 0x4d5, 0x8018,
0x4cf, 0x8018, 0x4c8, 0x8017, 0x4c2, 0x8017, 0x4bc, 0x8017,
0x4b6, 0x8017, 0x4af, 0x8016, 0x4a9, 0x8016, 0x4a3, 0x8016,
0x49c, 0x8016, 0x496, 0x8016, 0x490, 0x8015, 0x48a, 0x8015,
0x483, 0x8015, 0x47d, 0x8015, 0x477, 0x8014, 0x471, 0x8014,
0x46a, 0x8014, 0x464, 0x8014, 0x45e, 0x8014, 0x457, 0x8013,
0x451, 0x8013, 0x44b, 0x8013, 0x445, 0x8013, 0x43e, 0x8013,
0x438, 0x8012, 0x432, 0x8012, 0x42b, 0x8012, 0x425, 0x8012,
0x41f, 0x8012, 0x419, 0x8011, 0x412, 0x8011, 0x40c, 0x8011,
0x406, 0x8011, 0x3ff, 0x8011, 0x3f9, 0x8010, 0x3f3, 0x8010,
0x3ed, 0x8010, 0x3e6, 0x8010, 0x3e0, 0x8010, 0x3da, 0x800f,
0x3d4, 0x800f, 0x3cd, 0x800f, 0x3c7, 0x800f, 0x3c1, 0x800f,
0x3ba, 0x800e, 0x3b4, 0x800e, 0x3ae, 0x800e, 0x3a8, 0x800e,
0x3a1, 0x800e, 0x39b, 0x800e, 0x395, 0x800d, 0x38e, 0x800d,
0x388, 0x800d, 0x382, 0x800d, 0x37c, 0x800d, 0x375, 0x800c,
0x36f, 0x800c, 0x369, 0x800c, 0x362, 0x800c, 0x35c, 0x800c,
0x356, 0x800c, 0x350, 0x800b, 0x349, 0x800b, 0x343, 0x800b,
0x33d, 0x800b, 0x337, 0x800b, 0x330, 0x800b, 0x32a, 0x800b,
0x324, 0x800a, 0x31d, 0x800a, 0x317, 0x800a, 0x311, 0x800a,
0x30b, 0x800a, 0x304, 0x800a, 0x2fe, 0x8009, 0x2f8, 0x8009,
0x2f1, 0x8009, 0x2eb, 0x8009, 0x2e5, 0x8009, 0x2df, 0x8009,
0x2d8, 0x8009, 0x2d2, 0x8008, 0x2cc, 0x8008, 0x2c5, 0x8008,
0x2bf, 0x8008, 0x2b9, 0x8008, 0x2b3, 0x8008, 0x2ac, 0x8008,
0x2a6, 0x8008, 0x2a0, 0x8007, 0x299, 0x8007, 0x293, 0x8007,
0x28d, 0x8007, 0x287, 0x8007, 0x280, 0x8007, 0x27a, 0x8007,
0x274, 0x8007, 0x26d, 0x8006, 0x267, 0x8006, 0x261, 0x8006,
0x25b, 0x8006, 0x254, 0x8006, 0x24e, 0x8006, 0x248, 0x8006,
0x242, 0x8006, 0x23b, 0x8005, 0x235, 0x8005, 0x22f, 0x8005,
0x228, 0x8005, 0x222, 0x8005, 0x21c, 0x8005, 0x216, 0x8005,
0x20f, 0x8005, 0x209, 0x8005, 0x203, 0x8005, 0x1fc, 0x8004,
0x1f6, 0x8004, 0x1f0, 0x8004, 0x1ea, 0x8004, 0x1e3, 0x8004,
0x1dd, 0x8004, 0x1d7, 0x8004, 0x1d0, 0x8004, 0x1ca, 0x8004,
0x1c4, 0x8004, 0x1be, 0x8004, 0x1b7, 0x8003, 0x1b1, 0x8003,
0x1ab, 0x8003, 0x1a4, 0x8003, 0x19e, 0x8003, 0x198, 0x8003,
0x192, 0x8003, 0x18b, 0x8003, 0x185, 0x8003, 0x17f, 0x8003,
0x178, 0x8003, 0x172, 0x8003, 0x16c, 0x8003, 0x166, 0x8002,
0x15f, 0x8002, 0x159, 0x8002, 0x153, 0x8002, 0x14d, 0x8002,
0x146, 0x8002, 0x140, 0x8002, 0x13a, 0x8002, 0x133, 0x8002,
0x12d, 0x8002, 0x127, 0x8002, 0x121, 0x8002, 0x11a, 0x8002,
0x114, 0x8002, 0x10e, 0x8002, 0x107, 0x8002, 0x101, 0x8002,
0xfb, 0x8001, 0xf5, 0x8001, 0xee, 0x8001, 0xe8, 0x8001,
0xe2, 0x8001, 0xdb, 0x8001, 0xd5, 0x8001, 0xcf, 0x8001,
0xc9, 0x8001, 0xc2, 0x8001, 0xbc, 0x8001, 0xb6, 0x8001,
0xaf, 0x8001, 0xa9, 0x8001, 0xa3, 0x8001, 0x9d, 0x8001,
0x96, 0x8001, 0x90, 0x8001, 0x8a, 0x8001, 0x83, 0x8001,
0x7d, 0x8001, 0x77, 0x8001, 0x71, 0x8001, 0x6a, 0x8001,
0x64, 0x8001, 0x5e, 0x8001, 0x57, 0x8001, 0x51, 0x8001,
0x4b, 0x8001, 0x45, 0x8001, 0x3e, 0x8001, 0x38, 0x8001,
0x32, 0x8001, 0x2b, 0x8001, 0x25, 0x8001, 0x1f, 0x8001,
0x19, 0x8001, 0x12, 0x8001, 0xc, 0x8001, 0x6, 0x8001,
};
/**
* \par
* cosFactor tables are generated using the formula : <pre> cos_factors[n] = 2 * cos((2n+1)*pi/(4*N)) </pre>
* \par
* C command to generate the table
* <pre>
* for(i = 0; i< N; i++)
* {
* cos_factors[i]= 2 * cos((2*i+1)*c/2);
* } </pre>
* \par
* where <code>N</code> is the number of factors to generate and <code>c</code> is <code>pi/(2*N)</code>
* \par
* Then converted to q15 format by multiplying with 2^31 and saturated if required.
*/
static const q15_t ALIGN4 cos_factorsQ15_128[128] = {
0x7fff, 0x7ffa, 0x7ff0, 0x7fe1, 0x7fce, 0x7fb5, 0x7f97, 0x7f75,
0x7f4d, 0x7f21, 0x7ef0, 0x7eba, 0x7e7f, 0x7e3f, 0x7dfa, 0x7db0,
0x7d62, 0x7d0f, 0x7cb7, 0x7c5a, 0x7bf8, 0x7b92, 0x7b26, 0x7ab6,
0x7a42, 0x79c8, 0x794a, 0x78c7, 0x7840, 0x77b4, 0x7723, 0x768e,
0x75f4, 0x7555, 0x74b2, 0x740b, 0x735f, 0x72af, 0x71fa, 0x7141,
0x7083, 0x6fc1, 0x6efb, 0x6e30, 0x6d62, 0x6c8f, 0x6bb8, 0x6adc,
0x69fd, 0x6919, 0x6832, 0x6746, 0x6657, 0x6563, 0x646c, 0x6371,
0x6271, 0x616f, 0x6068, 0x5f5e, 0x5e50, 0x5d3e, 0x5c29, 0x5b10,
0x59f3, 0x58d4, 0x57b0, 0x568a, 0x5560, 0x5433, 0x5302, 0x51ce,
0x5097, 0x4f5e, 0x4e21, 0x4ce1, 0x4b9e, 0x4a58, 0x490f, 0x47c3,
0x4675, 0x4524, 0x43d0, 0x427a, 0x4121, 0x3fc5, 0x3e68, 0x3d07,
0x3ba5, 0x3a40, 0x38d8, 0x376f, 0x3604, 0x3496, 0x3326, 0x31b5,
0x3041, 0x2ecc, 0x2d55, 0x2bdc, 0x2a61, 0x28e5, 0x2767, 0x25e8,
0x2467, 0x22e5, 0x2161, 0x1fdc, 0x1e56, 0x1ccf, 0x1b47, 0x19bd,
0x1833, 0x16a8, 0x151b, 0x138e, 0x1201, 0x1072, 0xee3, 0xd53,
0xbc3, 0xa33, 0x8a2, 0x710, 0x57f, 0x3ed, 0x25b, 0xc9
};
static const q15_t ALIGN4 cos_factorsQ15_512[512] = {
0x7fff, 0x7fff, 0x7fff, 0x7ffe, 0x7ffc, 0x7ffb, 0x7ff9, 0x7ff7,
0x7ff4, 0x7ff2, 0x7fee, 0x7feb, 0x7fe7, 0x7fe3, 0x7fdf, 0x7fda,
0x7fd6, 0x7fd0, 0x7fcb, 0x7fc5, 0x7fbf, 0x7fb8, 0x7fb1, 0x7faa,
0x7fa3, 0x7f9b, 0x7f93, 0x7f8b, 0x7f82, 0x7f79, 0x7f70, 0x7f67,
0x7f5d, 0x7f53, 0x7f48, 0x7f3d, 0x7f32, 0x7f27, 0x7f1b, 0x7f0f,
0x7f03, 0x7ef6, 0x7ee9, 0x7edc, 0x7ecf, 0x7ec1, 0x7eb3, 0x7ea4,
0x7e95, 0x7e86, 0x7e77, 0x7e67, 0x7e57, 0x7e47, 0x7e37, 0x7e26,
0x7e14, 0x7e03, 0x7df1, 0x7ddf, 0x7dcd, 0x7dba, 0x7da7, 0x7d94,
0x7d80, 0x7d6c, 0x7d58, 0x7d43, 0x7d2f, 0x7d19, 0x7d04, 0x7cee,
0x7cd8, 0x7cc2, 0x7cab, 0x7c94, 0x7c7d, 0x7c66, 0x7c4e, 0x7c36,
0x7c1d, 0x7c05, 0x7beb, 0x7bd2, 0x7bb9, 0x7b9f, 0x7b84, 0x7b6a,
0x7b4f, 0x7b34, 0x7b19, 0x7afd, 0x7ae1, 0x7ac5, 0x7aa8, 0x7a8b,
0x7a6e, 0x7a50, 0x7a33, 0x7a15, 0x79f6, 0x79d8, 0x79b9, 0x7999,
0x797a, 0x795a, 0x793a, 0x7919, 0x78f9, 0x78d8, 0x78b6, 0x7895,
0x7873, 0x7851, 0x782e, 0x780c, 0x77e9, 0x77c5, 0x77a2, 0x777e,
0x775a, 0x7735, 0x7710, 0x76eb, 0x76c6, 0x76a0, 0x767b, 0x7654,
0x762e, 0x7607, 0x75e0, 0x75b9, 0x7591, 0x7569, 0x7541, 0x7519,
0x74f0, 0x74c7, 0x749e, 0x7474, 0x744a, 0x7420, 0x73f6, 0x73cb,
0x73a0, 0x7375, 0x7349, 0x731d, 0x72f1, 0x72c5, 0x7298, 0x726b,
0x723e, 0x7211, 0x71e3, 0x71b5, 0x7186, 0x7158, 0x7129, 0x70fa,
0x70cb, 0x709b, 0x706b, 0x703b, 0x700a, 0x6fda, 0x6fa9, 0x6f77,
0x6f46, 0x6f14, 0x6ee2, 0x6eaf, 0x6e7d, 0x6e4a, 0x6e17, 0x6de3,
0x6db0, 0x6d7c, 0x6d48, 0x6d13, 0x6cde, 0x6ca9, 0x6c74, 0x6c3f,
0x6c09, 0x6bd3, 0x6b9c, 0x6b66, 0x6b2f, 0x6af8, 0x6ac1, 0x6a89,
0x6a51, 0x6a19, 0x69e1, 0x69a8, 0x696f, 0x6936, 0x68fd, 0x68c3,
0x6889, 0x684f, 0x6815, 0x67da, 0x679f, 0x6764, 0x6729, 0x66ed,
0x66b1, 0x6675, 0x6639, 0x65fc, 0x65bf, 0x6582, 0x6545, 0x6507,
0x64c9, 0x648b, 0x644d, 0x640e, 0x63cf, 0x6390, 0x6351, 0x6311,
0x62d2, 0x6292, 0x6251, 0x6211, 0x61d0, 0x618f, 0x614e, 0x610d,
0x60cb, 0x6089, 0x6047, 0x6004, 0x5fc2, 0x5f7f, 0x5f3c, 0x5ef9,
0x5eb5, 0x5e71, 0x5e2d, 0x5de9, 0x5da5, 0x5d60, 0x5d1b, 0x5cd6,
0x5c91, 0x5c4b, 0x5c06, 0x5bc0, 0x5b79, 0x5b33, 0x5aec, 0x5aa5,
0x5a5e, 0x5a17, 0x59d0, 0x5988, 0x5940, 0x58f8, 0x58af, 0x5867,
0x581e, 0x57d5, 0x578c, 0x5742, 0x56f9, 0x56af, 0x5665, 0x561a,
0x55d0, 0x5585, 0x553a, 0x54ef, 0x54a4, 0x5458, 0x540d, 0x53c1,
0x5375, 0x5328, 0x52dc, 0x528f, 0x5242, 0x51f5, 0x51a8, 0x515a,
0x510c, 0x50bf, 0x5070, 0x5022, 0x4fd4, 0x4f85, 0x4f36, 0x4ee7,
0x4e98, 0x4e48, 0x4df9, 0x4da9, 0x4d59, 0x4d09, 0x4cb8, 0x4c68,
0x4c17, 0x4bc6, 0x4b75, 0x4b24, 0x4ad2, 0x4a81, 0x4a2f, 0x49dd,
0x498a, 0x4938, 0x48e6, 0x4893, 0x4840, 0x47ed, 0x479a, 0x4746,
0x46f3, 0x469f, 0x464b, 0x45f7, 0x45a3, 0x454e, 0x44fa, 0x44a5,
0x4450, 0x43fb, 0x43a5, 0x4350, 0x42fa, 0x42a5, 0x424f, 0x41f9,
0x41a2, 0x414c, 0x40f6, 0x409f, 0x4048, 0x3ff1, 0x3f9a, 0x3f43,
0x3eeb, 0x3e93, 0x3e3c, 0x3de4, 0x3d8c, 0x3d33, 0x3cdb, 0x3c83,
0x3c2a, 0x3bd1, 0x3b78, 0x3b1f, 0x3ac6, 0x3a6c, 0x3a13, 0x39b9,
0x395f, 0x3906, 0x38ab, 0x3851, 0x37f7, 0x379c, 0x3742, 0x36e7,
0x368c, 0x3631, 0x35d6, 0x357b, 0x351f, 0x34c4, 0x3468, 0x340c,
0x33b0, 0x3354, 0x32f8, 0x329c, 0x3240, 0x31e3, 0x3186, 0x312a,
0x30cd, 0x3070, 0x3013, 0x2fb5, 0x2f58, 0x2efb, 0x2e9d, 0x2e3f,
0x2de2, 0x2d84, 0x2d26, 0x2cc8, 0x2c69, 0x2c0b, 0x2bad, 0x2b4e,
0x2aef, 0x2a91, 0x2a32, 0x29d3, 0x2974, 0x2915, 0x28b5, 0x2856,
0x27f6, 0x2797, 0x2737, 0x26d8, 0x2678, 0x2618, 0x25b8, 0x2558,
0x24f7, 0x2497, 0x2437, 0x23d6, 0x2376, 0x2315, 0x22b4, 0x2254,
0x21f3, 0x2192, 0x2131, 0x20d0, 0x206e, 0x200d, 0x1fac, 0x1f4a,
0x1ee9, 0x1e87, 0x1e25, 0x1dc4, 0x1d62, 0x1d00, 0x1c9e, 0x1c3c,
0x1bda, 0x1b78, 0x1b16, 0x1ab3, 0x1a51, 0x19ef, 0x198c, 0x192a,
0x18c7, 0x1864, 0x1802, 0x179f, 0x173c, 0x16d9, 0x1676, 0x1613,
0x15b0, 0x154d, 0x14ea, 0x1487, 0x1423, 0x13c0, 0x135d, 0x12f9,
0x1296, 0x1232, 0x11cf, 0x116b, 0x1108, 0x10a4, 0x1040, 0xfdd,
0xf79, 0xf15, 0xeb1, 0xe4d, 0xde9, 0xd85, 0xd21, 0xcbd,
0xc59, 0xbf5, 0xb91, 0xb2d, 0xac9, 0xa65, 0xa00, 0x99c,
0x938, 0x8d4, 0x86f, 0x80b, 0x7a7, 0x742, 0x6de, 0x67a,
0x615, 0x5b1, 0x54c, 0x4e8, 0x483, 0x41f, 0x3ba, 0x356,
0x2f1, 0x28d, 0x228, 0x1c4, 0x15f, 0xfb, 0x96, 0x32,
};
static const q15_t ALIGN4 cos_factorsQ15_2048[2048] = {
0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff,
0x7fff, 0x7fff, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffd, 0x7ffd,
0x7ffd, 0x7ffd, 0x7ffc, 0x7ffc, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffa,
0x7ffa, 0x7ff9, 0x7ff9, 0x7ff8, 0x7ff8, 0x7ff7, 0x7ff7, 0x7ff6,
0x7ff5, 0x7ff5, 0x7ff4, 0x7ff3, 0x7ff3, 0x7ff2, 0x7ff1, 0x7ff0,
0x7ff0, 0x7fef, 0x7fee, 0x7fed, 0x7fec, 0x7fec, 0x7feb, 0x7fea,
0x7fe9, 0x7fe8, 0x7fe7, 0x7fe6, 0x7fe5, 0x7fe4, 0x7fe3, 0x7fe2,
0x7fe1, 0x7fe0, 0x7fdf, 0x7fdd, 0x7fdc, 0x7fdb, 0x7fda, 0x7fd9,
0x7fd7, 0x7fd6, 0x7fd5, 0x7fd4, 0x7fd2, 0x7fd1, 0x7fd0, 0x7fce,
0x7fcd, 0x7fcb, 0x7fca, 0x7fc9, 0x7fc7, 0x7fc6, 0x7fc4, 0x7fc3,
0x7fc1, 0x7fc0, 0x7fbe, 0x7fbc, 0x7fbb, 0x7fb9, 0x7fb7, 0x7fb6,
0x7fb4, 0x7fb2, 0x7fb1, 0x7faf, 0x7fad, 0x7fab, 0x7fa9, 0x7fa8,
0x7fa6, 0x7fa4, 0x7fa2, 0x7fa0, 0x7f9e, 0x7f9c, 0x7f9a, 0x7f98,
0x7f96, 0x7f94, 0x7f92, 0x7f90, 0x7f8e, 0x7f8c, 0x7f8a, 0x7f88,
0x7f86, 0x7f83, 0x7f81, 0x7f7f, 0x7f7d, 0x7f7b, 0x7f78, 0x7f76,
0x7f74, 0x7f71, 0x7f6f, 0x7f6d, 0x7f6a, 0x7f68, 0x7f65, 0x7f63,
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0x7cb4, 0x7cae, 0x7ca8, 0x7ca3, 0x7c9d, 0x7c97, 0x7c91, 0x7c8c,
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0x7c57, 0x7c51, 0x7c4b, 0x7c45, 0x7c3f, 0x7c39, 0x7c33, 0x7c2d,
0x7c26, 0x7c20, 0x7c1a, 0x7c14, 0x7c0e, 0x7c08, 0x7c01, 0x7bfb,
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0x7bc2, 0x7bbc, 0x7bb5, 0x7baf, 0x7ba8, 0x7ba2, 0x7b9b, 0x7b95,
0x7b8e, 0x7b88, 0x7b81, 0x7b7a, 0x7b74, 0x7b6d, 0x7b67, 0x7b60,
0x7b59, 0x7b52, 0x7b4c, 0x7b45, 0x7b3e, 0x7b37, 0x7b31, 0x7b2a,
0x7b23, 0x7b1c, 0x7b15, 0x7b0e, 0x7b07, 0x7b00, 0x7af9, 0x7af2,
0x7aeb, 0x7ae4, 0x7add, 0x7ad6, 0x7acf, 0x7ac8, 0x7ac1, 0x7aba,
0x7ab3, 0x7aac, 0x7aa4, 0x7a9d, 0x7a96, 0x7a8f, 0x7a87, 0x7a80,
0x7a79, 0x7a72, 0x7a6a, 0x7a63, 0x7a5c, 0x7a54, 0x7a4d, 0x7a45,
0x7a3e, 0x7a36, 0x7a2f, 0x7a27, 0x7a20, 0x7a18, 0x7a11, 0x7a09,
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0x78c3, 0x78bb, 0x78b2, 0x78aa, 0x78a2, 0x7899, 0x7891, 0x7888,
0x7880, 0x7877, 0x786f, 0x7866, 0x785e, 0x7855, 0x784d, 0x7844,
0x783b, 0x7833, 0x782a, 0x7821, 0x7819, 0x7810, 0x7807, 0x77ff,
0x77f6, 0x77ed, 0x77e4, 0x77db, 0x77d3, 0x77ca, 0x77c1, 0x77b8,
0x77af, 0x77a6, 0x779d, 0x7794, 0x778b, 0x7782, 0x7779, 0x7770,
0x7767, 0x775e, 0x7755, 0x774c, 0x7743, 0x773a, 0x7731, 0x7727,
0x771e, 0x7715, 0x770c, 0x7703, 0x76f9, 0x76f0, 0x76e7, 0x76dd,
0x76d4, 0x76cb, 0x76c1, 0x76b8, 0x76af, 0x76a5, 0x769c, 0x7692,
0x7689, 0x767f, 0x7676, 0x766c, 0x7663, 0x7659, 0x7650, 0x7646,
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0x74ad, 0x74a3, 0x7498, 0x748e, 0x7484, 0x7479, 0x746f, 0x7464,
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0x724f, 0x7244, 0x7238, 0x722d, 0x7222, 0x7216, 0x720b, 0x71ff,
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0x7198, 0x718c, 0x7181, 0x7175, 0x7169, 0x715e, 0x7152, 0x7146,
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0x6cf2, 0x6ce5, 0x6cd8, 0x6cca, 0x6cbd, 0x6cb0, 0x6ca3, 0x6c95,
0x6c88, 0x6c7b, 0x6c6d, 0x6c60, 0x6c53, 0x6c45, 0x6c38, 0x6c2a,
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0x6bb1, 0x6ba3, 0x6b96, 0x6b88, 0x6b7a, 0x6b6d, 0x6b5f, 0x6b51,
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0x6ad5, 0x6ac8, 0x6aba, 0x6aac, 0x6a9e, 0x6a90, 0x6a82, 0x6a74,
0x6a66, 0x6a58, 0x6a4a, 0x6a3c, 0x6a2e, 0x6a20, 0x6a12, 0x6a04,
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0x689f, 0x6890, 0x6882, 0x6873, 0x6865, 0x6856, 0x6848, 0x6839,
0x682b, 0x681c, 0x680d, 0x67ff, 0x67f0, 0x67e1, 0x67d3, 0x67c4,
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0x655c, 0x654c, 0x653d, 0x652d, 0x651e, 0x650f, 0x64ff, 0x64f0,
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0x6369, 0x6359, 0x6349, 0x6339, 0x6329, 0x6319, 0x6309, 0x62f9,
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0x6269, 0x6259, 0x6249, 0x6239, 0x6229, 0x6219, 0x6209, 0x61f9,
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0x6166, 0x6156, 0x6146, 0x6135, 0x6125, 0x6115, 0x6104, 0x60f4,
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0x5fdb, 0x5fca, 0x5fba, 0x5fa9, 0x5f98, 0x5f87, 0x5f77, 0x5f66,
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0x5ecf, 0x5ebe, 0x5ead, 0x5e9c, 0x5e8b, 0x5e7a, 0x5e69, 0x5e58,
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0x5dbf, 0x5dad, 0x5d9c, 0x5d8b, 0x5d7a, 0x5d69, 0x5d58, 0x5d46,
0x5d35, 0x5d24, 0x5d13, 0x5d01, 0x5cf0, 0x5cdf, 0x5cce, 0x5cbc,
0x5cab, 0x5c9a, 0x5c88, 0x5c77, 0x5c66, 0x5c54, 0x5c43, 0x5c31,
0x5c20, 0x5c0e, 0x5bfd, 0x5beb, 0x5bda, 0x5bc8, 0x5bb7, 0x5ba5,
0x5b94, 0x5b82, 0x5b71, 0x5b5f, 0x5b4d, 0x5b3c, 0x5b2a, 0x5b19,
0x5b07, 0x5af5, 0x5ae4, 0x5ad2, 0x5ac0, 0x5aae, 0x5a9d, 0x5a8b,
0x5a79, 0x5a67, 0x5a56, 0x5a44, 0x5a32, 0x5a20, 0x5a0e, 0x59fc,
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0x58cb, 0x58b8, 0x58a6, 0x5894, 0x5882, 0x5870, 0x585e, 0x584b,
0x5839, 0x5827, 0x5815, 0x5803, 0x57f0, 0x57de, 0x57cc, 0x57b9,
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0x5714, 0x5702, 0x56ef, 0x56dd, 0x56ca, 0x56b8, 0x56a5, 0x5693,
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0x5429, 0x5416, 0x5403, 0x53f0, 0x53dd, 0x53ca, 0x53b7, 0x53a4,
0x5391, 0x537e, 0x536b, 0x5358, 0x5345, 0x5332, 0x531f, 0x530c,
0x52f8, 0x52e5, 0x52d2, 0x52bf, 0x52ac, 0x5299, 0x5285, 0x5272,
0x525f, 0x524c, 0x5238, 0x5225, 0x5212, 0x51ff, 0x51eb, 0x51d8,
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0x512a, 0x5116, 0x5103, 0x50ef, 0x50dc, 0x50c8, 0x50b5, 0x50a1,
0x508e, 0x507a, 0x5067, 0x5053, 0x503f, 0x502c, 0x5018, 0x5005,
0x4ff1, 0x4fdd, 0x4fca, 0x4fb6, 0x4fa2, 0x4f8f, 0x4f7b, 0x4f67,
0x4f54, 0x4f40, 0x4f2c, 0x4f18, 0x4f05, 0x4ef1, 0x4edd, 0x4ec9,
0x4eb6, 0x4ea2, 0x4e8e, 0x4e7a, 0x4e66, 0x4e52, 0x4e3e, 0x4e2a,
0x4e17, 0x4e03, 0x4def, 0x4ddb, 0x4dc7, 0x4db3, 0x4d9f, 0x4d8b,
0x4d77, 0x4d63, 0x4d4f, 0x4d3b, 0x4d27, 0x4d13, 0x4cff, 0x4ceb,
0x4cd6, 0x4cc2, 0x4cae, 0x4c9a, 0x4c86, 0x4c72, 0x4c5e, 0x4c49,
0x4c35, 0x4c21, 0x4c0d, 0x4bf9, 0x4be4, 0x4bd0, 0x4bbc, 0x4ba8,
0x4b93, 0x4b7f, 0x4b6b, 0x4b56, 0x4b42, 0x4b2e, 0x4b19, 0x4b05,
0x4af1, 0x4adc, 0x4ac8, 0x4ab4, 0x4a9f, 0x4a8b, 0x4a76, 0x4a62,
0x4a4d, 0x4a39, 0x4a24, 0x4a10, 0x49fb, 0x49e7, 0x49d2, 0x49be,
0x49a9, 0x4995, 0x4980, 0x496c, 0x4957, 0x4942, 0x492e, 0x4919,
0x4905, 0x48f0, 0x48db, 0x48c7, 0x48b2, 0x489d, 0x4888, 0x4874,
0x485f, 0x484a, 0x4836, 0x4821, 0x480c, 0x47f7, 0x47e2, 0x47ce,
0x47b9, 0x47a4, 0x478f, 0x477a, 0x4765, 0x4751, 0x473c, 0x4727,
0x4712, 0x46fd, 0x46e8, 0x46d3, 0x46be, 0x46a9, 0x4694, 0x467f,
0x466a, 0x4655, 0x4640, 0x462b, 0x4616, 0x4601, 0x45ec, 0x45d7,
0x45c2, 0x45ad, 0x4598, 0x4583, 0x456e, 0x4559, 0x4544, 0x452e,
0x4519, 0x4504, 0x44ef, 0x44da, 0x44c5, 0x44af, 0x449a, 0x4485,
0x4470, 0x445a, 0x4445, 0x4430, 0x441b, 0x4405, 0x43f0, 0x43db,
0x43c5, 0x43b0, 0x439b, 0x4385, 0x4370, 0x435b, 0x4345, 0x4330,
0x431b, 0x4305, 0x42f0, 0x42da, 0x42c5, 0x42af, 0x429a, 0x4284,
0x426f, 0x425a, 0x4244, 0x422f, 0x4219, 0x4203, 0x41ee, 0x41d8,
0x41c3, 0x41ad, 0x4198, 0x4182, 0x416d, 0x4157, 0x4141, 0x412c,
0x4116, 0x4100, 0x40eb, 0x40d5, 0x40bf, 0x40aa, 0x4094, 0x407e,
0x4069, 0x4053, 0x403d, 0x4027, 0x4012, 0x3ffc, 0x3fe6, 0x3fd0,
0x3fbb, 0x3fa5, 0x3f8f, 0x3f79, 0x3f63, 0x3f4d, 0x3f38, 0x3f22,
0x3f0c, 0x3ef6, 0x3ee0, 0x3eca, 0x3eb4, 0x3e9e, 0x3e88, 0x3e73,
0x3e5d, 0x3e47, 0x3e31, 0x3e1b, 0x3e05, 0x3def, 0x3dd9, 0x3dc3,
0x3dad, 0x3d97, 0x3d81, 0x3d6b, 0x3d55, 0x3d3e, 0x3d28, 0x3d12,
0x3cfc, 0x3ce6, 0x3cd0, 0x3cba, 0x3ca4, 0x3c8e, 0x3c77, 0x3c61,
0x3c4b, 0x3c35, 0x3c1f, 0x3c09, 0x3bf2, 0x3bdc, 0x3bc6, 0x3bb0,
0x3b99, 0x3b83, 0x3b6d, 0x3b57, 0x3b40, 0x3b2a, 0x3b14, 0x3afe,
0x3ae7, 0x3ad1, 0x3abb, 0x3aa4, 0x3a8e, 0x3a78, 0x3a61, 0x3a4b,
0x3a34, 0x3a1e, 0x3a08, 0x39f1, 0x39db, 0x39c4, 0x39ae, 0x3998,
0x3981, 0x396b, 0x3954, 0x393e, 0x3927, 0x3911, 0x38fa, 0x38e4,
0x38cd, 0x38b7, 0x38a0, 0x388a, 0x3873, 0x385d, 0x3846, 0x382f,
0x3819, 0x3802, 0x37ec, 0x37d5, 0x37be, 0x37a8, 0x3791, 0x377a,
0x3764, 0x374d, 0x3736, 0x3720, 0x3709, 0x36f2, 0x36dc, 0x36c5,
0x36ae, 0x3698, 0x3681, 0x366a, 0x3653, 0x363d, 0x3626, 0x360f,
0x35f8, 0x35e1, 0x35cb, 0x35b4, 0x359d, 0x3586, 0x356f, 0x3558,
0x3542, 0x352b, 0x3514, 0x34fd, 0x34e6, 0x34cf, 0x34b8, 0x34a1,
0x348b, 0x3474, 0x345d, 0x3446, 0x342f, 0x3418, 0x3401, 0x33ea,
0x33d3, 0x33bc, 0x33a5, 0x338e, 0x3377, 0x3360, 0x3349, 0x3332,
0x331b, 0x3304, 0x32ed, 0x32d6, 0x32bf, 0x32a8, 0x3290, 0x3279,
0x3262, 0x324b, 0x3234, 0x321d, 0x3206, 0x31ef, 0x31d8, 0x31c0,
0x31a9, 0x3192, 0x317b, 0x3164, 0x314c, 0x3135, 0x311e, 0x3107,
0x30f0, 0x30d8, 0x30c1, 0x30aa, 0x3093, 0x307b, 0x3064, 0x304d,
0x3036, 0x301e, 0x3007, 0x2ff0, 0x2fd8, 0x2fc1, 0x2faa, 0x2f92,
0x2f7b, 0x2f64, 0x2f4c, 0x2f35, 0x2f1e, 0x2f06, 0x2eef, 0x2ed8,
0x2ec0, 0x2ea9, 0x2e91, 0x2e7a, 0x2e63, 0x2e4b, 0x2e34, 0x2e1c,
0x2e05, 0x2ded, 0x2dd6, 0x2dbe, 0x2da7, 0x2d8f, 0x2d78, 0x2d60,
0x2d49, 0x2d31, 0x2d1a, 0x2d02, 0x2ceb, 0x2cd3, 0x2cbc, 0x2ca4,
0x2c8d, 0x2c75, 0x2c5e, 0x2c46, 0x2c2e, 0x2c17, 0x2bff, 0x2be8,
0x2bd0, 0x2bb8, 0x2ba1, 0x2b89, 0x2b71, 0x2b5a, 0x2b42, 0x2b2b,
0x2b13, 0x2afb, 0x2ae4, 0x2acc, 0x2ab4, 0x2a9c, 0x2a85, 0x2a6d,
0x2a55, 0x2a3e, 0x2a26, 0x2a0e, 0x29f6, 0x29df, 0x29c7, 0x29af,
0x2997, 0x2980, 0x2968, 0x2950, 0x2938, 0x2920, 0x2909, 0x28f1,
0x28d9, 0x28c1, 0x28a9, 0x2892, 0x287a, 0x2862, 0x284a, 0x2832,
0x281a, 0x2802, 0x27eb, 0x27d3, 0x27bb, 0x27a3, 0x278b, 0x2773,
0x275b, 0x2743, 0x272b, 0x2713, 0x26fb, 0x26e4, 0x26cc, 0x26b4,
0x269c, 0x2684, 0x266c, 0x2654, 0x263c, 0x2624, 0x260c, 0x25f4,
0x25dc, 0x25c4, 0x25ac, 0x2594, 0x257c, 0x2564, 0x254c, 0x2534,
0x251c, 0x2503, 0x24eb, 0x24d3, 0x24bb, 0x24a3, 0x248b, 0x2473,
0x245b, 0x2443, 0x242b, 0x2413, 0x23fa, 0x23e2, 0x23ca, 0x23b2,
0x239a, 0x2382, 0x236a, 0x2352, 0x2339, 0x2321, 0x2309, 0x22f1,
0x22d9, 0x22c0, 0x22a8, 0x2290, 0x2278, 0x2260, 0x2247, 0x222f,
0x2217, 0x21ff, 0x21e7, 0x21ce, 0x21b6, 0x219e, 0x2186, 0x216d,
0x2155, 0x213d, 0x2125, 0x210c, 0x20f4, 0x20dc, 0x20c3, 0x20ab,
0x2093, 0x207a, 0x2062, 0x204a, 0x2032, 0x2019, 0x2001, 0x1fe9,
0x1fd0, 0x1fb8, 0x1f9f, 0x1f87, 0x1f6f, 0x1f56, 0x1f3e, 0x1f26,
0x1f0d, 0x1ef5, 0x1edd, 0x1ec4, 0x1eac, 0x1e93, 0x1e7b, 0x1e62,
0x1e4a, 0x1e32, 0x1e19, 0x1e01, 0x1de8, 0x1dd0, 0x1db7, 0x1d9f,
0x1d87, 0x1d6e, 0x1d56, 0x1d3d, 0x1d25, 0x1d0c, 0x1cf4, 0x1cdb,
0x1cc3, 0x1caa, 0x1c92, 0x1c79, 0x1c61, 0x1c48, 0x1c30, 0x1c17,
0x1bff, 0x1be6, 0x1bce, 0x1bb5, 0x1b9d, 0x1b84, 0x1b6c, 0x1b53,
0x1b3a, 0x1b22, 0x1b09, 0x1af1, 0x1ad8, 0x1ac0, 0x1aa7, 0x1a8e,
0x1a76, 0x1a5d, 0x1a45, 0x1a2c, 0x1a13, 0x19fb, 0x19e2, 0x19ca,
0x19b1, 0x1998, 0x1980, 0x1967, 0x194e, 0x1936, 0x191d, 0x1905,
0x18ec, 0x18d3, 0x18bb, 0x18a2, 0x1889, 0x1871, 0x1858, 0x183f,
0x1827, 0x180e, 0x17f5, 0x17dd, 0x17c4, 0x17ab, 0x1792, 0x177a,
0x1761, 0x1748, 0x1730, 0x1717, 0x16fe, 0x16e5, 0x16cd, 0x16b4,
0x169b, 0x1682, 0x166a, 0x1651, 0x1638, 0x161f, 0x1607, 0x15ee,
0x15d5, 0x15bc, 0x15a4, 0x158b, 0x1572, 0x1559, 0x1541, 0x1528,
0x150f, 0x14f6, 0x14dd, 0x14c5, 0x14ac, 0x1493, 0x147a, 0x1461,
0x1449, 0x1430, 0x1417, 0x13fe, 0x13e5, 0x13cc, 0x13b4, 0x139b,
0x1382, 0x1369, 0x1350, 0x1337, 0x131f, 0x1306, 0x12ed, 0x12d4,
0x12bb, 0x12a2, 0x1289, 0x1271, 0x1258, 0x123f, 0x1226, 0x120d,
0x11f4, 0x11db, 0x11c2, 0x11a9, 0x1191, 0x1178, 0x115f, 0x1146,
0x112d, 0x1114, 0x10fb, 0x10e2, 0x10c9, 0x10b0, 0x1098, 0x107f,
0x1066, 0x104d, 0x1034, 0x101b, 0x1002, 0xfe9, 0xfd0, 0xfb7,
0xf9e, 0xf85, 0xf6c, 0xf53, 0xf3a, 0xf21, 0xf08, 0xef0,
0xed7, 0xebe, 0xea5, 0xe8c, 0xe73, 0xe5a, 0xe41, 0xe28,
0xe0f, 0xdf6, 0xddd, 0xdc4, 0xdab, 0xd92, 0xd79, 0xd60,
0xd47, 0xd2e, 0xd15, 0xcfc, 0xce3, 0xcca, 0xcb1, 0xc98,
0xc7f, 0xc66, 0xc4d, 0xc34, 0xc1b, 0xc02, 0xbe9, 0xbd0,
0xbb7, 0xb9e, 0xb85, 0xb6c, 0xb53, 0xb3a, 0xb20, 0xb07,
0xaee, 0xad5, 0xabc, 0xaa3, 0xa8a, 0xa71, 0xa58, 0xa3f,
0xa26, 0xa0d, 0x9f4, 0x9db, 0x9c2, 0x9a9, 0x990, 0x977,
0x95e, 0x944, 0x92b, 0x912, 0x8f9, 0x8e0, 0x8c7, 0x8ae,
0x895, 0x87c, 0x863, 0x84a, 0x831, 0x818, 0x7fe, 0x7e5,
0x7cc, 0x7b3, 0x79a, 0x781, 0x768, 0x74f, 0x736, 0x71d,
0x704, 0x6ea, 0x6d1, 0x6b8, 0x69f, 0x686, 0x66d, 0x654,
0x63b, 0x622, 0x609, 0x5ef, 0x5d6, 0x5bd, 0x5a4, 0x58b,
0x572, 0x559, 0x540, 0x527, 0x50d, 0x4f4, 0x4db, 0x4c2,
0x4a9, 0x490, 0x477, 0x45e, 0x445, 0x42b, 0x412, 0x3f9,
0x3e0, 0x3c7, 0x3ae, 0x395, 0x37c, 0x362, 0x349, 0x330,
0x317, 0x2fe, 0x2e5, 0x2cc, 0x2b3, 0x299, 0x280, 0x267,
0x24e, 0x235, 0x21c, 0x203, 0x1ea, 0x1d0, 0x1b7, 0x19e,
0x185, 0x16c, 0x153, 0x13a, 0x121, 0x107, 0xee, 0xd5,
0xbc, 0xa3, 0x8a, 0x71, 0x57, 0x3e, 0x25, 0xc,
};
static const q15_t ALIGN4 cos_factorsQ15_8192[8192] = {
0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff,
0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff,
0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff,
0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff,
0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff,
0x7fff, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe,
0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe,
0x7ffe, 0x7ffe, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd,
0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffc,
0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc,
0x7ffc, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffb,
0x7ffb, 0x7ffb, 0x7ffb, 0x7ffa, 0x7ffa, 0x7ffa, 0x7ffa, 0x7ffa,
0x7ffa, 0x7ffa, 0x7ffa, 0x7ffa, 0x7ff9, 0x7ff9, 0x7ff9, 0x7ff9,
0x7ff9, 0x7ff9, 0x7ff9, 0x7ff9, 0x7ff8, 0x7ff8, 0x7ff8, 0x7ff8,
0x7ff8, 0x7ff8, 0x7ff8, 0x7ff7, 0x7ff7, 0x7ff7, 0x7ff7, 0x7ff7,
0x7ff7, 0x7ff7, 0x7ff6, 0x7ff6, 0x7ff6, 0x7ff6, 0x7ff6, 0x7ff6,
0x7ff6, 0x7ff5, 0x7ff5, 0x7ff5, 0x7ff5, 0x7ff5, 0x7ff5, 0x7ff4,
0x7ff4, 0x7ff4, 0x7ff4, 0x7ff4, 0x7ff4, 0x7ff3, 0x7ff3, 0x7ff3,
0x7ff3, 0x7ff3, 0x7ff3, 0x7ff2, 0x7ff2, 0x7ff2, 0x7ff2, 0x7ff2,
0x7ff1, 0x7ff1, 0x7ff1, 0x7ff1, 0x7ff1, 0x7ff1, 0x7ff0, 0x7ff0,
0x7ff0, 0x7ff0, 0x7ff0, 0x7fef, 0x7fef, 0x7fef, 0x7fef, 0x7fef,
0x7fee, 0x7fee, 0x7fee, 0x7fee, 0x7fee, 0x7fed, 0x7fed, 0x7fed,
0x7fed, 0x7fed, 0x7fec, 0x7fec, 0x7fec, 0x7fec, 0x7feb, 0x7feb,
0x7feb, 0x7feb, 0x7feb, 0x7fea, 0x7fea, 0x7fea, 0x7fea, 0x7fe9,
0x7fe9, 0x7fe9, 0x7fe9, 0x7fe8, 0x7fe8, 0x7fe8, 0x7fe8, 0x7fe8,
0x7fe7, 0x7fe7, 0x7fe7, 0x7fe7, 0x7fe6, 0x7fe6, 0x7fe6, 0x7fe6,
0x7fe5, 0x7fe5, 0x7fe5, 0x7fe5, 0x7fe4, 0x7fe4, 0x7fe4, 0x7fe4,
0x7fe3, 0x7fe3, 0x7fe3, 0x7fe2, 0x7fe2, 0x7fe2, 0x7fe2, 0x7fe1,
0x7fe1, 0x7fe1, 0x7fe1, 0x7fe0, 0x7fe0, 0x7fe0, 0x7fdf, 0x7fdf,
0x7fdf, 0x7fdf, 0x7fde, 0x7fde, 0x7fde, 0x7fde, 0x7fdd, 0x7fdd,
0x7fdd, 0x7fdc, 0x7fdc, 0x7fdc, 0x7fdb, 0x7fdb, 0x7fdb, 0x7fdb,
0x7fda, 0x7fda, 0x7fda, 0x7fd9, 0x7fd9, 0x7fd9, 0x7fd8, 0x7fd8,
0x7fd8, 0x7fd8, 0x7fd7, 0x7fd7, 0x7fd7, 0x7fd6, 0x7fd6, 0x7fd6,
0x7fd5, 0x7fd5, 0x7fd5, 0x7fd4, 0x7fd4, 0x7fd4, 0x7fd3, 0x7fd3,
0x7fd3, 0x7fd2, 0x7fd2, 0x7fd2, 0x7fd1, 0x7fd1, 0x7fd1, 0x7fd0,
0x7fd0, 0x7fd0, 0x7fcf, 0x7fcf, 0x7fcf, 0x7fce, 0x7fce, 0x7fce,
0x7fcd, 0x7fcd, 0x7fcd, 0x7fcc, 0x7fcc, 0x7fcc, 0x7fcb, 0x7fcb,
0x7fcb, 0x7fca, 0x7fca, 0x7fc9, 0x7fc9, 0x7fc9, 0x7fc8, 0x7fc8,
0x7fc8, 0x7fc7, 0x7fc7, 0x7fc7, 0x7fc6, 0x7fc6, 0x7fc5, 0x7fc5,
0x7fc5, 0x7fc4, 0x7fc4, 0x7fc4, 0x7fc3, 0x7fc3, 0x7fc2, 0x7fc2,
0x7fc2, 0x7fc1, 0x7fc1, 0x7fc0, 0x7fc0, 0x7fc0, 0x7fbf, 0x7fbf,
0x7fbf, 0x7fbe, 0x7fbe, 0x7fbd, 0x7fbd, 0x7fbd, 0x7fbc, 0x7fbc,
0x7fbb, 0x7fbb, 0x7fbb, 0x7fba, 0x7fba, 0x7fb9, 0x7fb9, 0x7fb8,
0x7fb8, 0x7fb8, 0x7fb7, 0x7fb7, 0x7fb6, 0x7fb6, 0x7fb6, 0x7fb5,
0x7fb5, 0x7fb4, 0x7fb4, 0x7fb3, 0x7fb3, 0x7fb3, 0x7fb2, 0x7fb2,
0x7fb1, 0x7fb1, 0x7fb0, 0x7fb0, 0x7faf, 0x7faf, 0x7faf, 0x7fae,
0x7fae, 0x7fad, 0x7fad, 0x7fac, 0x7fac, 0x7fac, 0x7fab, 0x7fab,
0x7faa, 0x7faa, 0x7fa9, 0x7fa9, 0x7fa8, 0x7fa8, 0x7fa7, 0x7fa7,
0x7fa6, 0x7fa6, 0x7fa6, 0x7fa5, 0x7fa5, 0x7fa4, 0x7fa4, 0x7fa3,
0x7fa3, 0x7fa2, 0x7fa2, 0x7fa1, 0x7fa1, 0x7fa0, 0x7fa0, 0x7f9f,
0x7f9f, 0x7f9e, 0x7f9e, 0x7f9d, 0x7f9d, 0x7f9c, 0x7f9c, 0x7f9c,
0x7f9b, 0x7f9b, 0x7f9a, 0x7f9a, 0x7f99, 0x7f99, 0x7f98, 0x7f98,
0x7f97, 0x7f97, 0x7f96, 0x7f96, 0x7f95, 0x7f95, 0x7f94, 0x7f94,
0x7f93, 0x7f92, 0x7f92, 0x7f91, 0x7f91, 0x7f90, 0x7f90, 0x7f8f,
0x7f8f, 0x7f8e, 0x7f8e, 0x7f8d, 0x7f8d, 0x7f8c, 0x7f8c, 0x7f8b,
0x7f8b, 0x7f8a, 0x7f8a, 0x7f89, 0x7f89, 0x7f88, 0x7f87, 0x7f87,
0x7f86, 0x7f86, 0x7f85, 0x7f85, 0x7f84, 0x7f84, 0x7f83, 0x7f83,
0x7f82, 0x7f81, 0x7f81, 0x7f80, 0x7f80, 0x7f7f, 0x7f7f, 0x7f7e,
0x7f7e, 0x7f7d, 0x7f7c, 0x7f7c, 0x7f7b, 0x7f7b, 0x7f7a, 0x7f7a,
0x7f79, 0x7f79, 0x7f78, 0x7f77, 0x7f77, 0x7f76, 0x7f76, 0x7f75,
0x7f75, 0x7f74, 0x7f73, 0x7f73, 0x7f72, 0x7f72, 0x7f71, 0x7f70,
0x7f70, 0x7f6f, 0x7f6f, 0x7f6e, 0x7f6d, 0x7f6d, 0x7f6c, 0x7f6c,
0x7f6b, 0x7f6b, 0x7f6a, 0x7f69, 0x7f69, 0x7f68, 0x7f68, 0x7f67,
0x7f66, 0x7f66, 0x7f65, 0x7f64, 0x7f64, 0x7f63, 0x7f63, 0x7f62,
0x7f61, 0x7f61, 0x7f60, 0x7f60, 0x7f5f, 0x7f5e, 0x7f5e, 0x7f5d,
0x7f5c, 0x7f5c, 0x7f5b, 0x7f5b, 0x7f5a, 0x7f59, 0x7f59, 0x7f58,
0x7f57, 0x7f57, 0x7f56, 0x7f55, 0x7f55, 0x7f54, 0x7f54, 0x7f53,
0x7f52, 0x7f52, 0x7f51, 0x7f50, 0x7f50, 0x7f4f, 0x7f4e, 0x7f4e,
0x7f4d, 0x7f4c, 0x7f4c, 0x7f4b, 0x7f4a, 0x7f4a, 0x7f49, 0x7f48,
0x7f48, 0x7f47, 0x7f46, 0x7f46, 0x7f45, 0x7f44, 0x7f44, 0x7f43,
0x7f42, 0x7f42, 0x7f41, 0x7f40, 0x7f40, 0x7f3f, 0x7f3e, 0x7f3e,
0x7f3d, 0x7f3c, 0x7f3c, 0x7f3b, 0x7f3a, 0x7f3a, 0x7f39, 0x7f38,
0x7f37, 0x7f37, 0x7f36, 0x7f35, 0x7f35, 0x7f34, 0x7f33, 0x7f33,
0x7f32, 0x7f31, 0x7f31, 0x7f30, 0x7f2f, 0x7f2e, 0x7f2e, 0x7f2d,
0x7f2c, 0x7f2c, 0x7f2b, 0x7f2a, 0x7f29, 0x7f29, 0x7f28, 0x7f27,
0x7f27, 0x7f26, 0x7f25, 0x7f24, 0x7f24, 0x7f23, 0x7f22, 0x7f21,
0x7f21, 0x7f20, 0x7f1f, 0x7f1f, 0x7f1e, 0x7f1d, 0x7f1c, 0x7f1c,
0x7f1b, 0x7f1a, 0x7f19, 0x7f19, 0x7f18, 0x7f17, 0x7f16, 0x7f16,
0x7f15, 0x7f14, 0x7f13, 0x7f13, 0x7f12, 0x7f11, 0x7f10, 0x7f10,
0x7f0f, 0x7f0e, 0x7f0d, 0x7f0d, 0x7f0c, 0x7f0b, 0x7f0a, 0x7f09,
0x7f09, 0x7f08, 0x7f07, 0x7f06, 0x7f06, 0x7f05, 0x7f04, 0x7f03,
0x7f02, 0x7f02, 0x7f01, 0x7f00, 0x7eff, 0x7eff, 0x7efe, 0x7efd,
0x7efc, 0x7efb, 0x7efb, 0x7efa, 0x7ef9, 0x7ef8, 0x7ef7, 0x7ef7,
0x7ef6, 0x7ef5, 0x7ef4, 0x7ef3, 0x7ef3, 0x7ef2, 0x7ef1, 0x7ef0,
0x7eef, 0x7eef, 0x7eee, 0x7eed, 0x7eec, 0x7eeb, 0x7eeb, 0x7eea,
0x7ee9, 0x7ee8, 0x7ee7, 0x7ee6, 0x7ee6, 0x7ee5, 0x7ee4, 0x7ee3,
0x7ee2, 0x7ee2, 0x7ee1, 0x7ee0, 0x7edf, 0x7ede, 0x7edd, 0x7edd,
0x7edc, 0x7edb, 0x7eda, 0x7ed9, 0x7ed8, 0x7ed8, 0x7ed7, 0x7ed6,
0x7ed5, 0x7ed4, 0x7ed3, 0x7ed2, 0x7ed2, 0x7ed1, 0x7ed0, 0x7ecf,
0x7ece, 0x7ecd, 0x7ecc, 0x7ecc, 0x7ecb, 0x7eca, 0x7ec9, 0x7ec8,
0x7ec7, 0x7ec6, 0x7ec6, 0x7ec5, 0x7ec4, 0x7ec3, 0x7ec2, 0x7ec1,
0x7ec0, 0x7ebf, 0x7ebf, 0x7ebe, 0x7ebd, 0x7ebc, 0x7ebb, 0x7eba,
0x7eb9, 0x7eb8, 0x7eb8, 0x7eb7, 0x7eb6, 0x7eb5, 0x7eb4, 0x7eb3,
0x7eb2, 0x7eb1, 0x7eb0, 0x7eaf, 0x7eaf, 0x7eae, 0x7ead, 0x7eac,
0x7eab, 0x7eaa, 0x7ea9, 0x7ea8, 0x7ea7, 0x7ea6, 0x7ea6, 0x7ea5,
0x7ea4, 0x7ea3, 0x7ea2, 0x7ea1, 0x7ea0, 0x7e9f, 0x7e9e, 0x7e9d,
0x7e9c, 0x7e9b, 0x7e9b, 0x7e9a, 0x7e99, 0x7e98, 0x7e97, 0x7e96,
0x7e95, 0x7e94, 0x7e93, 0x7e92, 0x7e91, 0x7e90, 0x7e8f, 0x7e8e,
0x7e8d, 0x7e8d, 0x7e8c, 0x7e8b, 0x7e8a, 0x7e89, 0x7e88, 0x7e87,
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0x4dce, 0x4dc9, 0x4dc4, 0x4dbf, 0x4dba, 0x4db5, 0x4db0, 0x4dab,
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0x4c8e, 0x4c88, 0x4c83, 0x4c7e, 0x4c79, 0x4c74, 0x4c6f, 0x4c6a,
0x4c65, 0x4c60, 0x4c5b, 0x4c56, 0x4c51, 0x4c4c, 0x4c47, 0x4c42,
0x4c3d, 0x4c38, 0x4c33, 0x4c2e, 0x4c29, 0x4c24, 0x4c1f, 0x4c1a,
0x4c14, 0x4c0f, 0x4c0a, 0x4c05, 0x4c00, 0x4bfb, 0x4bf6, 0x4bf1,
0x4bec, 0x4be7, 0x4be2, 0x4bdd, 0x4bd8, 0x4bd3, 0x4bce, 0x4bc9,
0x4bc4, 0x4bbe, 0x4bb9, 0x4bb4, 0x4baf, 0x4baa, 0x4ba5, 0x4ba0,
0x4b9b, 0x4b96, 0x4b91, 0x4b8c, 0x4b87, 0x4b82, 0x4b7d, 0x4b77,
0x4b72, 0x4b6d, 0x4b68, 0x4b63, 0x4b5e, 0x4b59, 0x4b54, 0x4b4f,
0x4b4a, 0x4b45, 0x4b40, 0x4b3b, 0x4b35, 0x4b30, 0x4b2b, 0x4b26,
0x4b21, 0x4b1c, 0x4b17, 0x4b12, 0x4b0d, 0x4b08, 0x4b03, 0x4afd,
0x4af8, 0x4af3, 0x4aee, 0x4ae9, 0x4ae4, 0x4adf, 0x4ada, 0x4ad5,
0x4ad0, 0x4acb, 0x4ac5, 0x4ac0, 0x4abb, 0x4ab6, 0x4ab1, 0x4aac,
0x4aa7, 0x4aa2, 0x4a9d, 0x4a97, 0x4a92, 0x4a8d, 0x4a88, 0x4a83,
0x4a7e, 0x4a79, 0x4a74, 0x4a6f, 0x4a6a, 0x4a64, 0x4a5f, 0x4a5a,
0x4a55, 0x4a50, 0x4a4b, 0x4a46, 0x4a41, 0x4a3b, 0x4a36, 0x4a31,
0x4a2c, 0x4a27, 0x4a22, 0x4a1d, 0x4a18, 0x4a12, 0x4a0d, 0x4a08,
0x4a03, 0x49fe, 0x49f9, 0x49f4, 0x49ef, 0x49e9, 0x49e4, 0x49df,
0x49da, 0x49d5, 0x49d0, 0x49cb, 0x49c6, 0x49c0, 0x49bb, 0x49b6,
0x49b1, 0x49ac, 0x49a7, 0x49a2, 0x499c, 0x4997, 0x4992, 0x498d,
0x4988, 0x4983, 0x497e, 0x4978, 0x4973, 0x496e, 0x4969, 0x4964,
0x495f, 0x495a, 0x4954, 0x494f, 0x494a, 0x4945, 0x4940, 0x493b,
0x4936, 0x4930, 0x492b, 0x4926, 0x4921, 0x491c, 0x4917, 0x4911,
0x490c, 0x4907, 0x4902, 0x48fd, 0x48f8, 0x48f2, 0x48ed, 0x48e8,
0x48e3, 0x48de, 0x48d9, 0x48d3, 0x48ce, 0x48c9, 0x48c4, 0x48bf,
0x48ba, 0x48b4, 0x48af, 0x48aa, 0x48a5, 0x48a0, 0x489b, 0x4895,
0x4890, 0x488b, 0x4886, 0x4881, 0x487c, 0x4876, 0x4871, 0x486c,
0x4867, 0x4862, 0x485c, 0x4857, 0x4852, 0x484d, 0x4848, 0x4843,
0x483d, 0x4838, 0x4833, 0x482e, 0x4829, 0x4823, 0x481e, 0x4819,
0x4814, 0x480f, 0x4809, 0x4804, 0x47ff, 0x47fa, 0x47f5, 0x47ef,
0x47ea, 0x47e5, 0x47e0, 0x47db, 0x47d5, 0x47d0, 0x47cb, 0x47c6,
0x47c1, 0x47bb, 0x47b6, 0x47b1, 0x47ac, 0x47a7, 0x47a1, 0x479c,
0x4797, 0x4792, 0x478d, 0x4787, 0x4782, 0x477d, 0x4778, 0x4773,
0x476d, 0x4768, 0x4763, 0x475e, 0x4758, 0x4753, 0x474e, 0x4749,
0x4744, 0x473e, 0x4739, 0x4734, 0x472f, 0x4729, 0x4724, 0x471f,
0x471a, 0x4715, 0x470f, 0x470a, 0x4705, 0x4700, 0x46fa, 0x46f5,
0x46f0, 0x46eb, 0x46e6, 0x46e0, 0x46db, 0x46d6, 0x46d1, 0x46cb,
0x46c6, 0x46c1, 0x46bc, 0x46b6, 0x46b1, 0x46ac, 0x46a7, 0x46a1,
0x469c, 0x4697, 0x4692, 0x468d, 0x4687, 0x4682, 0x467d, 0x4678,
0x4672, 0x466d, 0x4668, 0x4663, 0x465d, 0x4658, 0x4653, 0x464e,
0x4648, 0x4643, 0x463e, 0x4639, 0x4633, 0x462e, 0x4629, 0x4624,
0x461e, 0x4619, 0x4614, 0x460e, 0x4609, 0x4604, 0x45ff, 0x45f9,
0x45f4, 0x45ef, 0x45ea, 0x45e4, 0x45df, 0x45da, 0x45d5, 0x45cf,
0x45ca, 0x45c5, 0x45c0, 0x45ba, 0x45b5, 0x45b0, 0x45aa, 0x45a5,
0x45a0, 0x459b, 0x4595, 0x4590, 0x458b, 0x4586, 0x4580, 0x457b,
0x4576, 0x4570, 0x456b, 0x4566, 0x4561, 0x455b, 0x4556, 0x4551,
0x454b, 0x4546, 0x4541, 0x453c, 0x4536, 0x4531, 0x452c, 0x4526,
0x4521, 0x451c, 0x4517, 0x4511, 0x450c, 0x4507, 0x4501, 0x44fc,
0x44f7, 0x44f2, 0x44ec, 0x44e7, 0x44e2, 0x44dc, 0x44d7, 0x44d2,
0x44cd, 0x44c7, 0x44c2, 0x44bd, 0x44b7, 0x44b2, 0x44ad, 0x44a7,
0x44a2, 0x449d, 0x4497, 0x4492, 0x448d, 0x4488, 0x4482, 0x447d,
0x4478, 0x4472, 0x446d, 0x4468, 0x4462, 0x445d, 0x4458, 0x4452,
0x444d, 0x4448, 0x4443, 0x443d, 0x4438, 0x4433, 0x442d, 0x4428,
0x4423, 0x441d, 0x4418, 0x4413, 0x440d, 0x4408, 0x4403, 0x43fd,
0x43f8, 0x43f3, 0x43ed, 0x43e8, 0x43e3, 0x43dd, 0x43d8, 0x43d3,
0x43cd, 0x43c8, 0x43c3, 0x43bd, 0x43b8, 0x43b3, 0x43ad, 0x43a8,
0x43a3, 0x439d, 0x4398, 0x4393, 0x438d, 0x4388, 0x4383, 0x437d,
0x4378, 0x4373, 0x436d, 0x4368, 0x4363, 0x435d, 0x4358, 0x4353,
0x434d, 0x4348, 0x4343, 0x433d, 0x4338, 0x4333, 0x432d, 0x4328,
0x4323, 0x431d, 0x4318, 0x4313, 0x430d, 0x4308, 0x4302, 0x42fd,
0x42f8, 0x42f2, 0x42ed, 0x42e8, 0x42e2, 0x42dd, 0x42d8, 0x42d2,
0x42cd, 0x42c8, 0x42c2, 0x42bd, 0x42b7, 0x42b2, 0x42ad, 0x42a7,
0x42a2, 0x429d, 0x4297, 0x4292, 0x428d, 0x4287, 0x4282, 0x427c,
0x4277, 0x4272, 0x426c, 0x4267, 0x4262, 0x425c, 0x4257, 0x4251,
0x424c, 0x4247, 0x4241, 0x423c, 0x4237, 0x4231, 0x422c, 0x4226,
0x4221, 0x421c, 0x4216, 0x4211, 0x420c, 0x4206, 0x4201, 0x41fb,
0x41f6, 0x41f1, 0x41eb, 0x41e6, 0x41e0, 0x41db, 0x41d6, 0x41d0,
0x41cb, 0x41c6, 0x41c0, 0x41bb, 0x41b5, 0x41b0, 0x41ab, 0x41a5,
0x41a0, 0x419a, 0x4195, 0x4190, 0x418a, 0x4185, 0x417f, 0x417a,
0x4175, 0x416f, 0x416a, 0x4164, 0x415f, 0x415a, 0x4154, 0x414f,
0x4149, 0x4144, 0x413f, 0x4139, 0x4134, 0x412e, 0x4129, 0x4124,
0x411e, 0x4119, 0x4113, 0x410e, 0x4108, 0x4103, 0x40fe, 0x40f8,
0x40f3, 0x40ed, 0x40e8, 0x40e3, 0x40dd, 0x40d8, 0x40d2, 0x40cd,
0x40c8, 0x40c2, 0x40bd, 0x40b7, 0x40b2, 0x40ac, 0x40a7, 0x40a2,
0x409c, 0x4097, 0x4091, 0x408c, 0x4086, 0x4081, 0x407c, 0x4076,
0x4071, 0x406b, 0x4066, 0x4060, 0x405b, 0x4056, 0x4050, 0x404b,
0x4045, 0x4040, 0x403a, 0x4035, 0x4030, 0x402a, 0x4025, 0x401f,
0x401a, 0x4014, 0x400f, 0x4009, 0x4004, 0x3fff, 0x3ff9, 0x3ff4,
0x3fee, 0x3fe9, 0x3fe3, 0x3fde, 0x3fd8, 0x3fd3, 0x3fce, 0x3fc8,
0x3fc3, 0x3fbd, 0x3fb8, 0x3fb2, 0x3fad, 0x3fa7, 0x3fa2, 0x3f9d,
0x3f97, 0x3f92, 0x3f8c, 0x3f87, 0x3f81, 0x3f7c, 0x3f76, 0x3f71,
0x3f6b, 0x3f66, 0x3f61, 0x3f5b, 0x3f56, 0x3f50, 0x3f4b, 0x3f45,
0x3f40, 0x3f3a, 0x3f35, 0x3f2f, 0x3f2a, 0x3f24, 0x3f1f, 0x3f1a,
0x3f14, 0x3f0f, 0x3f09, 0x3f04, 0x3efe, 0x3ef9, 0x3ef3, 0x3eee,
0x3ee8, 0x3ee3, 0x3edd, 0x3ed8, 0x3ed2, 0x3ecd, 0x3ec7, 0x3ec2,
0x3ebd, 0x3eb7, 0x3eb2, 0x3eac, 0x3ea7, 0x3ea1, 0x3e9c, 0x3e96,
0x3e91, 0x3e8b, 0x3e86, 0x3e80, 0x3e7b, 0x3e75, 0x3e70, 0x3e6a,
0x3e65, 0x3e5f, 0x3e5a, 0x3e54, 0x3e4f, 0x3e49, 0x3e44, 0x3e3e,
0x3e39, 0x3e33, 0x3e2e, 0x3e28, 0x3e23, 0x3e1d, 0x3e18, 0x3e12,
0x3e0d, 0x3e07, 0x3e02, 0x3dfc, 0x3df7, 0x3df1, 0x3dec, 0x3de6,
0x3de1, 0x3ddb, 0x3dd6, 0x3dd0, 0x3dcb, 0x3dc5, 0x3dc0, 0x3dba,
0x3db5, 0x3daf, 0x3daa, 0x3da4, 0x3d9f, 0x3d99, 0x3d94, 0x3d8e,
0x3d89, 0x3d83, 0x3d7e, 0x3d78, 0x3d73, 0x3d6d, 0x3d68, 0x3d62,
0x3d5d, 0x3d57, 0x3d52, 0x3d4c, 0x3d47, 0x3d41, 0x3d3c, 0x3d36,
0x3d31, 0x3d2b, 0x3d26, 0x3d20, 0x3d1b, 0x3d15, 0x3d10, 0x3d0a,
0x3d04, 0x3cff, 0x3cf9, 0x3cf4, 0x3cee, 0x3ce9, 0x3ce3, 0x3cde,
0x3cd8, 0x3cd3, 0x3ccd, 0x3cc8, 0x3cc2, 0x3cbd, 0x3cb7, 0x3cb2,
0x3cac, 0x3ca7, 0x3ca1, 0x3c9b, 0x3c96, 0x3c90, 0x3c8b, 0x3c85,
0x3c80, 0x3c7a, 0x3c75, 0x3c6f, 0x3c6a, 0x3c64, 0x3c5f, 0x3c59,
0x3c53, 0x3c4e, 0x3c48, 0x3c43, 0x3c3d, 0x3c38, 0x3c32, 0x3c2d,
0x3c27, 0x3c22, 0x3c1c, 0x3c16, 0x3c11, 0x3c0b, 0x3c06, 0x3c00,
0x3bfb, 0x3bf5, 0x3bf0, 0x3bea, 0x3be5, 0x3bdf, 0x3bd9, 0x3bd4,
0x3bce, 0x3bc9, 0x3bc3, 0x3bbe, 0x3bb8, 0x3bb3, 0x3bad, 0x3ba7,
0x3ba2, 0x3b9c, 0x3b97, 0x3b91, 0x3b8c, 0x3b86, 0x3b80, 0x3b7b,
0x3b75, 0x3b70, 0x3b6a, 0x3b65, 0x3b5f, 0x3b5a, 0x3b54, 0x3b4e,
0x3b49, 0x3b43, 0x3b3e, 0x3b38, 0x3b33, 0x3b2d, 0x3b27, 0x3b22,
0x3b1c, 0x3b17, 0x3b11, 0x3b0c, 0x3b06, 0x3b00, 0x3afb, 0x3af5,
0x3af0, 0x3aea, 0x3ae4, 0x3adf, 0x3ad9, 0x3ad4, 0x3ace, 0x3ac9,
0x3ac3, 0x3abd, 0x3ab8, 0x3ab2, 0x3aad, 0x3aa7, 0x3aa2, 0x3a9c,
0x3a96, 0x3a91, 0x3a8b, 0x3a86, 0x3a80, 0x3a7a, 0x3a75, 0x3a6f,
0x3a6a, 0x3a64, 0x3a5e, 0x3a59, 0x3a53, 0x3a4e, 0x3a48, 0x3a42,
0x3a3d, 0x3a37, 0x3a32, 0x3a2c, 0x3a26, 0x3a21, 0x3a1b, 0x3a16,
0x3a10, 0x3a0b, 0x3a05, 0x39ff, 0x39fa, 0x39f4, 0x39ee, 0x39e9,
0x39e3, 0x39de, 0x39d8, 0x39d2, 0x39cd, 0x39c7, 0x39c2, 0x39bc,
0x39b6, 0x39b1, 0x39ab, 0x39a6, 0x39a0, 0x399a, 0x3995, 0x398f,
0x398a, 0x3984, 0x397e, 0x3979, 0x3973, 0x396d, 0x3968, 0x3962,
0x395d, 0x3957, 0x3951, 0x394c, 0x3946, 0x3941, 0x393b, 0x3935,
0x3930, 0x392a, 0x3924, 0x391f, 0x3919, 0x3914, 0x390e, 0x3908,
0x3903, 0x38fd, 0x38f7, 0x38f2, 0x38ec, 0x38e7, 0x38e1, 0x38db,
0x38d6, 0x38d0, 0x38ca, 0x38c5, 0x38bf, 0x38ba, 0x38b4, 0x38ae,
0x38a9, 0x38a3, 0x389d, 0x3898, 0x3892, 0x388c, 0x3887, 0x3881,
0x387c, 0x3876, 0x3870, 0x386b, 0x3865, 0x385f, 0x385a, 0x3854,
0x384e, 0x3849, 0x3843, 0x383d, 0x3838, 0x3832, 0x382d, 0x3827,
0x3821, 0x381c, 0x3816, 0x3810, 0x380b, 0x3805, 0x37ff, 0x37fa,
0x37f4, 0x37ee, 0x37e9, 0x37e3, 0x37dd, 0x37d8, 0x37d2, 0x37cc,
0x37c7, 0x37c1, 0x37bc, 0x37b6, 0x37b0, 0x37ab, 0x37a5, 0x379f,
0x379a, 0x3794, 0x378e, 0x3789, 0x3783, 0x377d, 0x3778, 0x3772,
0x376c, 0x3767, 0x3761, 0x375b, 0x3756, 0x3750, 0x374a, 0x3745,
0x373f, 0x3739, 0x3734, 0x372e, 0x3728, 0x3723, 0x371d, 0x3717,
0x3712, 0x370c, 0x3706, 0x3701, 0x36fb, 0x36f5, 0x36f0, 0x36ea,
0x36e4, 0x36df, 0x36d9, 0x36d3, 0x36ce, 0x36c8, 0x36c2, 0x36bc,
0x36b7, 0x36b1, 0x36ab, 0x36a6, 0x36a0, 0x369a, 0x3695, 0x368f,
0x3689, 0x3684, 0x367e, 0x3678, 0x3673, 0x366d, 0x3667, 0x3662,
0x365c, 0x3656, 0x3650, 0x364b, 0x3645, 0x363f, 0x363a, 0x3634,
0x362e, 0x3629, 0x3623, 0x361d, 0x3618, 0x3612, 0x360c, 0x3606,
0x3601, 0x35fb, 0x35f5, 0x35f0, 0x35ea, 0x35e4, 0x35df, 0x35d9,
0x35d3, 0x35cd, 0x35c8, 0x35c2, 0x35bc, 0x35b7, 0x35b1, 0x35ab,
0x35a6, 0x35a0, 0x359a, 0x3594, 0x358f, 0x3589, 0x3583, 0x357e,
0x3578, 0x3572, 0x356c, 0x3567, 0x3561, 0x355b, 0x3556, 0x3550,
0x354a, 0x3544, 0x353f, 0x3539, 0x3533, 0x352e, 0x3528, 0x3522,
0x351c, 0x3517, 0x3511, 0x350b, 0x3506, 0x3500, 0x34fa, 0x34f4,
0x34ef, 0x34e9, 0x34e3, 0x34de, 0x34d8, 0x34d2, 0x34cc, 0x34c7,
0x34c1, 0x34bb, 0x34b6, 0x34b0, 0x34aa, 0x34a4, 0x349f, 0x3499,
0x3493, 0x348d, 0x3488, 0x3482, 0x347c, 0x3476, 0x3471, 0x346b,
0x3465, 0x3460, 0x345a, 0x3454, 0x344e, 0x3449, 0x3443, 0x343d,
0x3437, 0x3432, 0x342c, 0x3426, 0x3420, 0x341b, 0x3415, 0x340f,
0x340a, 0x3404, 0x33fe, 0x33f8, 0x33f3, 0x33ed, 0x33e7, 0x33e1,
0x33dc, 0x33d6, 0x33d0, 0x33ca, 0x33c5, 0x33bf, 0x33b9, 0x33b3,
0x33ae, 0x33a8, 0x33a2, 0x339c, 0x3397, 0x3391, 0x338b, 0x3385,
0x3380, 0x337a, 0x3374, 0x336e, 0x3369, 0x3363, 0x335d, 0x3357,
0x3352, 0x334c, 0x3346, 0x3340, 0x333b, 0x3335, 0x332f, 0x3329,
0x3324, 0x331e, 0x3318, 0x3312, 0x330c, 0x3307, 0x3301, 0x32fb,
0x32f5, 0x32f0, 0x32ea, 0x32e4, 0x32de, 0x32d9, 0x32d3, 0x32cd,
0x32c7, 0x32c2, 0x32bc, 0x32b6, 0x32b0, 0x32aa, 0x32a5, 0x329f,
0x3299, 0x3293, 0x328e, 0x3288, 0x3282, 0x327c, 0x3276, 0x3271,
0x326b, 0x3265, 0x325f, 0x325a, 0x3254, 0x324e, 0x3248, 0x3243,
0x323d, 0x3237, 0x3231, 0x322b, 0x3226, 0x3220, 0x321a, 0x3214,
0x320e, 0x3209, 0x3203, 0x31fd, 0x31f7, 0x31f2, 0x31ec, 0x31e6,
0x31e0, 0x31da, 0x31d5, 0x31cf, 0x31c9, 0x31c3, 0x31bd, 0x31b8,
0x31b2, 0x31ac, 0x31a6, 0x31a1, 0x319b, 0x3195, 0x318f, 0x3189,
0x3184, 0x317e, 0x3178, 0x3172, 0x316c, 0x3167, 0x3161, 0x315b,
0x3155, 0x314f, 0x314a, 0x3144, 0x313e, 0x3138, 0x3132, 0x312d,
0x3127, 0x3121, 0x311b, 0x3115, 0x3110, 0x310a, 0x3104, 0x30fe,
0x30f8, 0x30f3, 0x30ed, 0x30e7, 0x30e1, 0x30db, 0x30d6, 0x30d0,
0x30ca, 0x30c4, 0x30be, 0x30b8, 0x30b3, 0x30ad, 0x30a7, 0x30a1,
0x309b, 0x3096, 0x3090, 0x308a, 0x3084, 0x307e, 0x3079, 0x3073,
0x306d, 0x3067, 0x3061, 0x305b, 0x3056, 0x3050, 0x304a, 0x3044,
0x303e, 0x3039, 0x3033, 0x302d, 0x3027, 0x3021, 0x301b, 0x3016,
0x3010, 0x300a, 0x3004, 0x2ffe, 0x2ff8, 0x2ff3, 0x2fed, 0x2fe7,
0x2fe1, 0x2fdb, 0x2fd6, 0x2fd0, 0x2fca, 0x2fc4, 0x2fbe, 0x2fb8,
0x2fb3, 0x2fad, 0x2fa7, 0x2fa1, 0x2f9b, 0x2f95, 0x2f90, 0x2f8a,
0x2f84, 0x2f7e, 0x2f78, 0x2f72, 0x2f6d, 0x2f67, 0x2f61, 0x2f5b,
0x2f55, 0x2f4f, 0x2f4a, 0x2f44, 0x2f3e, 0x2f38, 0x2f32, 0x2f2c,
0x2f27, 0x2f21, 0x2f1b, 0x2f15, 0x2f0f, 0x2f09, 0x2f03, 0x2efe,
0x2ef8, 0x2ef2, 0x2eec, 0x2ee6, 0x2ee0, 0x2edb, 0x2ed5, 0x2ecf,
0x2ec9, 0x2ec3, 0x2ebd, 0x2eb7, 0x2eb2, 0x2eac, 0x2ea6, 0x2ea0,
0x2e9a, 0x2e94, 0x2e8e, 0x2e89, 0x2e83, 0x2e7d, 0x2e77, 0x2e71,
0x2e6b, 0x2e65, 0x2e60, 0x2e5a, 0x2e54, 0x2e4e, 0x2e48, 0x2e42,
0x2e3c, 0x2e37, 0x2e31, 0x2e2b, 0x2e25, 0x2e1f, 0x2e19, 0x2e13,
0x2e0e, 0x2e08, 0x2e02, 0x2dfc, 0x2df6, 0x2df0, 0x2dea, 0x2de5,
0x2ddf, 0x2dd9, 0x2dd3, 0x2dcd, 0x2dc7, 0x2dc1, 0x2dbb, 0x2db6,
0x2db0, 0x2daa, 0x2da4, 0x2d9e, 0x2d98, 0x2d92, 0x2d8d, 0x2d87,
0x2d81, 0x2d7b, 0x2d75, 0x2d6f, 0x2d69, 0x2d63, 0x2d5e, 0x2d58,
0x2d52, 0x2d4c, 0x2d46, 0x2d40, 0x2d3a, 0x2d34, 0x2d2f, 0x2d29,
0x2d23, 0x2d1d, 0x2d17, 0x2d11, 0x2d0b, 0x2d05, 0x2cff, 0x2cfa,
0x2cf4, 0x2cee, 0x2ce8, 0x2ce2, 0x2cdc, 0x2cd6, 0x2cd0, 0x2ccb,
0x2cc5, 0x2cbf, 0x2cb9, 0x2cb3, 0x2cad, 0x2ca7, 0x2ca1, 0x2c9b,
0x2c96, 0x2c90, 0x2c8a, 0x2c84, 0x2c7e, 0x2c78, 0x2c72, 0x2c6c,
0x2c66, 0x2c61, 0x2c5b, 0x2c55, 0x2c4f, 0x2c49, 0x2c43, 0x2c3d,
0x2c37, 0x2c31, 0x2c2b, 0x2c26, 0x2c20, 0x2c1a, 0x2c14, 0x2c0e,
0x2c08, 0x2c02, 0x2bfc, 0x2bf6, 0x2bf0, 0x2beb, 0x2be5, 0x2bdf,
0x2bd9, 0x2bd3, 0x2bcd, 0x2bc7, 0x2bc1, 0x2bbb, 0x2bb5, 0x2bb0,
0x2baa, 0x2ba4, 0x2b9e, 0x2b98, 0x2b92, 0x2b8c, 0x2b86, 0x2b80,
0x2b7a, 0x2b74, 0x2b6f, 0x2b69, 0x2b63, 0x2b5d, 0x2b57, 0x2b51,
0x2b4b, 0x2b45, 0x2b3f, 0x2b39, 0x2b33, 0x2b2d, 0x2b28, 0x2b22,
0x2b1c, 0x2b16, 0x2b10, 0x2b0a, 0x2b04, 0x2afe, 0x2af8, 0x2af2,
0x2aec, 0x2ae6, 0x2ae1, 0x2adb, 0x2ad5, 0x2acf, 0x2ac9, 0x2ac3,
0x2abd, 0x2ab7, 0x2ab1, 0x2aab, 0x2aa5, 0x2a9f, 0x2a99, 0x2a94,
0x2a8e, 0x2a88, 0x2a82, 0x2a7c, 0x2a76, 0x2a70, 0x2a6a, 0x2a64,
0x2a5e, 0x2a58, 0x2a52, 0x2a4c, 0x2a47, 0x2a41, 0x2a3b, 0x2a35,
0x2a2f, 0x2a29, 0x2a23, 0x2a1d, 0x2a17, 0x2a11, 0x2a0b, 0x2a05,
0x29ff, 0x29f9, 0x29f3, 0x29ee, 0x29e8, 0x29e2, 0x29dc, 0x29d6,
0x29d0, 0x29ca, 0x29c4, 0x29be, 0x29b8, 0x29b2, 0x29ac, 0x29a6,
0x29a0, 0x299a, 0x2994, 0x298e, 0x2989, 0x2983, 0x297d, 0x2977,
0x2971, 0x296b, 0x2965, 0x295f, 0x2959, 0x2953, 0x294d, 0x2947,
0x2941, 0x293b, 0x2935, 0x292f, 0x2929, 0x2923, 0x291d, 0x2918,
0x2912, 0x290c, 0x2906, 0x2900, 0x28fa, 0x28f4, 0x28ee, 0x28e8,
0x28e2, 0x28dc, 0x28d6, 0x28d0, 0x28ca, 0x28c4, 0x28be, 0x28b8,
0x28b2, 0x28ac, 0x28a6, 0x28a0, 0x289a, 0x2895, 0x288f, 0x2889,
0x2883, 0x287d, 0x2877, 0x2871, 0x286b, 0x2865, 0x285f, 0x2859,
0x2853, 0x284d, 0x2847, 0x2841, 0x283b, 0x2835, 0x282f, 0x2829,
0x2823, 0x281d, 0x2817, 0x2811, 0x280b, 0x2805, 0x27ff, 0x27f9,
0x27f3, 0x27ee, 0x27e8, 0x27e2, 0x27dc, 0x27d6, 0x27d0, 0x27ca,
0x27c4, 0x27be, 0x27b8, 0x27b2, 0x27ac, 0x27a6, 0x27a0, 0x279a,
0x2794, 0x278e, 0x2788, 0x2782, 0x277c, 0x2776, 0x2770, 0x276a,
0x2764, 0x275e, 0x2758, 0x2752, 0x274c, 0x2746, 0x2740, 0x273a,
0x2734, 0x272e, 0x2728, 0x2722, 0x271c, 0x2716, 0x2710, 0x270a,
0x2704, 0x26fe, 0x26f8, 0x26f2, 0x26ec, 0x26e7, 0x26e1, 0x26db,
0x26d5, 0x26cf, 0x26c9, 0x26c3, 0x26bd, 0x26b7, 0x26b1, 0x26ab,
0x26a5, 0x269f, 0x2699, 0x2693, 0x268d, 0x2687, 0x2681, 0x267b,
0x2675, 0x266f, 0x2669, 0x2663, 0x265d, 0x2657, 0x2651, 0x264b,
0x2645, 0x263f, 0x2639, 0x2633, 0x262d, 0x2627, 0x2621, 0x261b,
0x2615, 0x260f, 0x2609, 0x2603, 0x25fd, 0x25f7, 0x25f1, 0x25eb,
0x25e5, 0x25df, 0x25d9, 0x25d3, 0x25cd, 0x25c7, 0x25c1, 0x25bb,
0x25b5, 0x25af, 0x25a9, 0x25a3, 0x259d, 0x2597, 0x2591, 0x258b,
0x2585, 0x257f, 0x2579, 0x2573, 0x256d, 0x2567, 0x2561, 0x255b,
0x2555, 0x254f, 0x2549, 0x2543, 0x253d, 0x2537, 0x2531, 0x252b,
0x2525, 0x251f, 0x2519, 0x2513, 0x250c, 0x2506, 0x2500, 0x24fa,
0x24f4, 0x24ee, 0x24e8, 0x24e2, 0x24dc, 0x24d6, 0x24d0, 0x24ca,
0x24c4, 0x24be, 0x24b8, 0x24b2, 0x24ac, 0x24a6, 0x24a0, 0x249a,
0x2494, 0x248e, 0x2488, 0x2482, 0x247c, 0x2476, 0x2470, 0x246a,
0x2464, 0x245e, 0x2458, 0x2452, 0x244c, 0x2446, 0x2440, 0x243a,
0x2434, 0x242e, 0x2428, 0x2422, 0x241c, 0x2416, 0x2410, 0x240a,
0x2404, 0x23fd, 0x23f7, 0x23f1, 0x23eb, 0x23e5, 0x23df, 0x23d9,
0x23d3, 0x23cd, 0x23c7, 0x23c1, 0x23bb, 0x23b5, 0x23af, 0x23a9,
0x23a3, 0x239d, 0x2397, 0x2391, 0x238b, 0x2385, 0x237f, 0x2379,
0x2373, 0x236d, 0x2367, 0x2361, 0x235b, 0x2355, 0x234e, 0x2348,
0x2342, 0x233c, 0x2336, 0x2330, 0x232a, 0x2324, 0x231e, 0x2318,
0x2312, 0x230c, 0x2306, 0x2300, 0x22fa, 0x22f4, 0x22ee, 0x22e8,
0x22e2, 0x22dc, 0x22d6, 0x22d0, 0x22ca, 0x22c4, 0x22bd, 0x22b7,
0x22b1, 0x22ab, 0x22a5, 0x229f, 0x2299, 0x2293, 0x228d, 0x2287,
0x2281, 0x227b, 0x2275, 0x226f, 0x2269, 0x2263, 0x225d, 0x2257,
0x2251, 0x224a, 0x2244, 0x223e, 0x2238, 0x2232, 0x222c, 0x2226,
0x2220, 0x221a, 0x2214, 0x220e, 0x2208, 0x2202, 0x21fc, 0x21f6,
0x21f0, 0x21ea, 0x21e4, 0x21dd, 0x21d7, 0x21d1, 0x21cb, 0x21c5,
0x21bf, 0x21b9, 0x21b3, 0x21ad, 0x21a7, 0x21a1, 0x219b, 0x2195,
0x218f, 0x2189, 0x2183, 0x217c, 0x2176, 0x2170, 0x216a, 0x2164,
0x215e, 0x2158, 0x2152, 0x214c, 0x2146, 0x2140, 0x213a, 0x2134,
0x212e, 0x2128, 0x2121, 0x211b, 0x2115, 0x210f, 0x2109, 0x2103,
0x20fd, 0x20f7, 0x20f1, 0x20eb, 0x20e5, 0x20df, 0x20d9, 0x20d3,
0x20cc, 0x20c6, 0x20c0, 0x20ba, 0x20b4, 0x20ae, 0x20a8, 0x20a2,
0x209c, 0x2096, 0x2090, 0x208a, 0x2084, 0x207e, 0x2077, 0x2071,
0x206b, 0x2065, 0x205f, 0x2059, 0x2053, 0x204d, 0x2047, 0x2041,
0x203b, 0x2035, 0x202e, 0x2028, 0x2022, 0x201c, 0x2016, 0x2010,
0x200a, 0x2004, 0x1ffe, 0x1ff8, 0x1ff2, 0x1fec, 0x1fe5, 0x1fdf,
0x1fd9, 0x1fd3, 0x1fcd, 0x1fc7, 0x1fc1, 0x1fbb, 0x1fb5, 0x1faf,
0x1fa9, 0x1fa3, 0x1f9c, 0x1f96, 0x1f90, 0x1f8a, 0x1f84, 0x1f7e,
0x1f78, 0x1f72, 0x1f6c, 0x1f66, 0x1f60, 0x1f59, 0x1f53, 0x1f4d,
0x1f47, 0x1f41, 0x1f3b, 0x1f35, 0x1f2f, 0x1f29, 0x1f23, 0x1f1d,
0x1f16, 0x1f10, 0x1f0a, 0x1f04, 0x1efe, 0x1ef8, 0x1ef2, 0x1eec,
0x1ee6, 0x1ee0, 0x1ed9, 0x1ed3, 0x1ecd, 0x1ec7, 0x1ec1, 0x1ebb,
0x1eb5, 0x1eaf, 0x1ea9, 0x1ea3, 0x1e9c, 0x1e96, 0x1e90, 0x1e8a,
0x1e84, 0x1e7e, 0x1e78, 0x1e72, 0x1e6c, 0x1e66, 0x1e5f, 0x1e59,
0x1e53, 0x1e4d, 0x1e47, 0x1e41, 0x1e3b, 0x1e35, 0x1e2f, 0x1e29,
0x1e22, 0x1e1c, 0x1e16, 0x1e10, 0x1e0a, 0x1e04, 0x1dfe, 0x1df8,
0x1df2, 0x1deb, 0x1de5, 0x1ddf, 0x1dd9, 0x1dd3, 0x1dcd, 0x1dc7,
0x1dc1, 0x1dbb, 0x1db4, 0x1dae, 0x1da8, 0x1da2, 0x1d9c, 0x1d96,
0x1d90, 0x1d8a, 0x1d84, 0x1d7d, 0x1d77, 0x1d71, 0x1d6b, 0x1d65,
0x1d5f, 0x1d59, 0x1d53, 0x1d4c, 0x1d46, 0x1d40, 0x1d3a, 0x1d34,
0x1d2e, 0x1d28, 0x1d22, 0x1d1c, 0x1d15, 0x1d0f, 0x1d09, 0x1d03,
0x1cfd, 0x1cf7, 0x1cf1, 0x1ceb, 0x1ce4, 0x1cde, 0x1cd8, 0x1cd2,
0x1ccc, 0x1cc6, 0x1cc0, 0x1cba, 0x1cb3, 0x1cad, 0x1ca7, 0x1ca1,
0x1c9b, 0x1c95, 0x1c8f, 0x1c89, 0x1c83, 0x1c7c, 0x1c76, 0x1c70,
0x1c6a, 0x1c64, 0x1c5e, 0x1c58, 0x1c51, 0x1c4b, 0x1c45, 0x1c3f,
0x1c39, 0x1c33, 0x1c2d, 0x1c27, 0x1c20, 0x1c1a, 0x1c14, 0x1c0e,
0x1c08, 0x1c02, 0x1bfc, 0x1bf6, 0x1bef, 0x1be9, 0x1be3, 0x1bdd,
0x1bd7, 0x1bd1, 0x1bcb, 0x1bc4, 0x1bbe, 0x1bb8, 0x1bb2, 0x1bac,
0x1ba6, 0x1ba0, 0x1b9a, 0x1b93, 0x1b8d, 0x1b87, 0x1b81, 0x1b7b,
0x1b75, 0x1b6f, 0x1b68, 0x1b62, 0x1b5c, 0x1b56, 0x1b50, 0x1b4a,
0x1b44, 0x1b3d, 0x1b37, 0x1b31, 0x1b2b, 0x1b25, 0x1b1f, 0x1b19,
0x1b13, 0x1b0c, 0x1b06, 0x1b00, 0x1afa, 0x1af4, 0x1aee, 0x1ae8,
0x1ae1, 0x1adb, 0x1ad5, 0x1acf, 0x1ac9, 0x1ac3, 0x1abd, 0x1ab6,
0x1ab0, 0x1aaa, 0x1aa4, 0x1a9e, 0x1a98, 0x1a91, 0x1a8b, 0x1a85,
0x1a7f, 0x1a79, 0x1a73, 0x1a6d, 0x1a66, 0x1a60, 0x1a5a, 0x1a54,
0x1a4e, 0x1a48, 0x1a42, 0x1a3b, 0x1a35, 0x1a2f, 0x1a29, 0x1a23,
0x1a1d, 0x1a17, 0x1a10, 0x1a0a, 0x1a04, 0x19fe, 0x19f8, 0x19f2,
0x19eb, 0x19e5, 0x19df, 0x19d9, 0x19d3, 0x19cd, 0x19c7, 0x19c0,
0x19ba, 0x19b4, 0x19ae, 0x19a8, 0x19a2, 0x199b, 0x1995, 0x198f,
0x1989, 0x1983, 0x197d, 0x1977, 0x1970, 0x196a, 0x1964, 0x195e,
0x1958, 0x1952, 0x194b, 0x1945, 0x193f, 0x1939, 0x1933, 0x192d,
0x1926, 0x1920, 0x191a, 0x1914, 0x190e, 0x1908, 0x1901, 0x18fb,
0x18f5, 0x18ef, 0x18e9, 0x18e3, 0x18dc, 0x18d6, 0x18d0, 0x18ca,
0x18c4, 0x18be, 0x18b8, 0x18b1, 0x18ab, 0x18a5, 0x189f, 0x1899,
0x1893, 0x188c, 0x1886, 0x1880, 0x187a, 0x1874, 0x186e, 0x1867,
0x1861, 0x185b, 0x1855, 0x184f, 0x1848, 0x1842, 0x183c, 0x1836,
0x1830, 0x182a, 0x1823, 0x181d, 0x1817, 0x1811, 0x180b, 0x1805,
0x17fe, 0x17f8, 0x17f2, 0x17ec, 0x17e6, 0x17e0, 0x17d9, 0x17d3,
0x17cd, 0x17c7, 0x17c1, 0x17bb, 0x17b4, 0x17ae, 0x17a8, 0x17a2,
0x179c, 0x1795, 0x178f, 0x1789, 0x1783, 0x177d, 0x1777, 0x1770,
0x176a, 0x1764, 0x175e, 0x1758, 0x1752, 0x174b, 0x1745, 0x173f,
0x1739, 0x1733, 0x172c, 0x1726, 0x1720, 0x171a, 0x1714, 0x170e,
0x1707, 0x1701, 0x16fb, 0x16f5, 0x16ef, 0x16e8, 0x16e2, 0x16dc,
0x16d6, 0x16d0, 0x16ca, 0x16c3, 0x16bd, 0x16b7, 0x16b1, 0x16ab,
0x16a4, 0x169e, 0x1698, 0x1692, 0x168c, 0x1686, 0x167f, 0x1679,
0x1673, 0x166d, 0x1667, 0x1660, 0x165a, 0x1654, 0x164e, 0x1648,
0x1642, 0x163b, 0x1635, 0x162f, 0x1629, 0x1623, 0x161c, 0x1616,
0x1610, 0x160a, 0x1604, 0x15fd, 0x15f7, 0x15f1, 0x15eb, 0x15e5,
0x15de, 0x15d8, 0x15d2, 0x15cc, 0x15c6, 0x15c0, 0x15b9, 0x15b3,
0x15ad, 0x15a7, 0x15a1, 0x159a, 0x1594, 0x158e, 0x1588, 0x1582,
0x157b, 0x1575, 0x156f, 0x1569, 0x1563, 0x155c, 0x1556, 0x1550,
0x154a, 0x1544, 0x153d, 0x1537, 0x1531, 0x152b, 0x1525, 0x151e,
0x1518, 0x1512, 0x150c, 0x1506, 0x14ff, 0x14f9, 0x14f3, 0x14ed,
0x14e7, 0x14e0, 0x14da, 0x14d4, 0x14ce, 0x14c8, 0x14c1, 0x14bb,
0x14b5, 0x14af, 0x14a9, 0x14a2, 0x149c, 0x1496, 0x1490, 0x148a,
0x1483, 0x147d, 0x1477, 0x1471, 0x146b, 0x1464, 0x145e, 0x1458,
0x1452, 0x144c, 0x1445, 0x143f, 0x1439, 0x1433, 0x142d, 0x1426,
0x1420, 0x141a, 0x1414, 0x140e, 0x1407, 0x1401, 0x13fb, 0x13f5,
0x13ef, 0x13e8, 0x13e2, 0x13dc, 0x13d6, 0x13d0, 0x13c9, 0x13c3,
0x13bd, 0x13b7, 0x13b1, 0x13aa, 0x13a4, 0x139e, 0x1398, 0x1391,
0x138b, 0x1385, 0x137f, 0x1379, 0x1372, 0x136c, 0x1366, 0x1360,
0x135a, 0x1353, 0x134d, 0x1347, 0x1341, 0x133b, 0x1334, 0x132e,
0x1328, 0x1322, 0x131b, 0x1315, 0x130f, 0x1309, 0x1303, 0x12fc,
0x12f6, 0x12f0, 0x12ea, 0x12e4, 0x12dd, 0x12d7, 0x12d1, 0x12cb,
0x12c4, 0x12be, 0x12b8, 0x12b2, 0x12ac, 0x12a5, 0x129f, 0x1299,
0x1293, 0x128d, 0x1286, 0x1280, 0x127a, 0x1274, 0x126d, 0x1267,
0x1261, 0x125b, 0x1255, 0x124e, 0x1248, 0x1242, 0x123c, 0x1235,
0x122f, 0x1229, 0x1223, 0x121d, 0x1216, 0x1210, 0x120a, 0x1204,
0x11fd, 0x11f7, 0x11f1, 0x11eb, 0x11e5, 0x11de, 0x11d8, 0x11d2,
0x11cc, 0x11c5, 0x11bf, 0x11b9, 0x11b3, 0x11ad, 0x11a6, 0x11a0,
0x119a, 0x1194, 0x118d, 0x1187, 0x1181, 0x117b, 0x1175, 0x116e,
0x1168, 0x1162, 0x115c, 0x1155, 0x114f, 0x1149, 0x1143, 0x113d,
0x1136, 0x1130, 0x112a, 0x1124, 0x111d, 0x1117, 0x1111, 0x110b,
0x1105, 0x10fe, 0x10f8, 0x10f2, 0x10ec, 0x10e5, 0x10df, 0x10d9,
0x10d3, 0x10cc, 0x10c6, 0x10c0, 0x10ba, 0x10b4, 0x10ad, 0x10a7,
0x10a1, 0x109b, 0x1094, 0x108e, 0x1088, 0x1082, 0x107b, 0x1075,
0x106f, 0x1069, 0x1063, 0x105c, 0x1056, 0x1050, 0x104a, 0x1043,
0x103d, 0x1037, 0x1031, 0x102a, 0x1024, 0x101e, 0x1018, 0x1012,
0x100b, 0x1005, 0xfff, 0xff9, 0xff2, 0xfec, 0xfe6, 0xfe0,
0xfd9, 0xfd3, 0xfcd, 0xfc7, 0xfc0, 0xfba, 0xfb4, 0xfae,
0xfa8, 0xfa1, 0xf9b, 0xf95, 0xf8f, 0xf88, 0xf82, 0xf7c,
0xf76, 0xf6f, 0xf69, 0xf63, 0xf5d, 0xf56, 0xf50, 0xf4a,
0xf44, 0xf3e, 0xf37, 0xf31, 0xf2b, 0xf25, 0xf1e, 0xf18,
0xf12, 0xf0c, 0xf05, 0xeff, 0xef9, 0xef3, 0xeec, 0xee6,
0xee0, 0xeda, 0xed3, 0xecd, 0xec7, 0xec1, 0xeba, 0xeb4,
0xeae, 0xea8, 0xea1, 0xe9b, 0xe95, 0xe8f, 0xe89, 0xe82,
0xe7c, 0xe76, 0xe70, 0xe69, 0xe63, 0xe5d, 0xe57, 0xe50,
0xe4a, 0xe44, 0xe3e, 0xe37, 0xe31, 0xe2b, 0xe25, 0xe1e,
0xe18, 0xe12, 0xe0c, 0xe05, 0xdff, 0xdf9, 0xdf3, 0xdec,
0xde6, 0xde0, 0xdda, 0xdd3, 0xdcd, 0xdc7, 0xdc1, 0xdba,
0xdb4, 0xdae, 0xda8, 0xda1, 0xd9b, 0xd95, 0xd8f, 0xd88,
0xd82, 0xd7c, 0xd76, 0xd6f, 0xd69, 0xd63, 0xd5d, 0xd56,
0xd50, 0xd4a, 0xd44, 0xd3d, 0xd37, 0xd31, 0xd2b, 0xd24,
0xd1e, 0xd18, 0xd12, 0xd0b, 0xd05, 0xcff, 0xcf9, 0xcf2,
0xcec, 0xce6, 0xce0, 0xcd9, 0xcd3, 0xccd, 0xcc7, 0xcc0,
0xcba, 0xcb4, 0xcae, 0xca7, 0xca1, 0xc9b, 0xc95, 0xc8e,
0xc88, 0xc82, 0xc7c, 0xc75, 0xc6f, 0xc69, 0xc63, 0xc5c,
0xc56, 0xc50, 0xc4a, 0xc43, 0xc3d, 0xc37, 0xc31, 0xc2a,
0xc24, 0xc1e, 0xc18, 0xc11, 0xc0b, 0xc05, 0xbff, 0xbf8,
0xbf2, 0xbec, 0xbe6, 0xbdf, 0xbd9, 0xbd3, 0xbcd, 0xbc6,
0xbc0, 0xbba, 0xbb4, 0xbad, 0xba7, 0xba1, 0xb9b, 0xb94,
0xb8e, 0xb88, 0xb81, 0xb7b, 0xb75, 0xb6f, 0xb68, 0xb62,
0xb5c, 0xb56, 0xb4f, 0xb49, 0xb43, 0xb3d, 0xb36, 0xb30,
0xb2a, 0xb24, 0xb1d, 0xb17, 0xb11, 0xb0b, 0xb04, 0xafe,
0xaf8, 0xaf2, 0xaeb, 0xae5, 0xadf, 0xad8, 0xad2, 0xacc,
0xac6, 0xabf, 0xab9, 0xab3, 0xaad, 0xaa6, 0xaa0, 0xa9a,
0xa94, 0xa8d, 0xa87, 0xa81, 0xa7b, 0xa74, 0xa6e, 0xa68,
0xa62, 0xa5b, 0xa55, 0xa4f, 0xa48, 0xa42, 0xa3c, 0xa36,
0xa2f, 0xa29, 0xa23, 0xa1d, 0xa16, 0xa10, 0xa0a, 0xa04,
0x9fd, 0x9f7, 0x9f1, 0x9eb, 0x9e4, 0x9de, 0x9d8, 0x9d1,
0x9cb, 0x9c5, 0x9bf, 0x9b8, 0x9b2, 0x9ac, 0x9a6, 0x99f,
0x999, 0x993, 0x98d, 0x986, 0x980, 0x97a, 0x973, 0x96d,
0x967, 0x961, 0x95a, 0x954, 0x94e, 0x948, 0x941, 0x93b,
0x935, 0x92f, 0x928, 0x922, 0x91c, 0x915, 0x90f, 0x909,
0x903, 0x8fc, 0x8f6, 0x8f0, 0x8ea, 0x8e3, 0x8dd, 0x8d7,
0x8d1, 0x8ca, 0x8c4, 0x8be, 0x8b7, 0x8b1, 0x8ab, 0x8a5,
0x89e, 0x898, 0x892, 0x88c, 0x885, 0x87f, 0x879, 0x872,
0x86c, 0x866, 0x860, 0x859, 0x853, 0x84d, 0x847, 0x840,
0x83a, 0x834, 0x82e, 0x827, 0x821, 0x81b, 0x814, 0x80e,
0x808, 0x802, 0x7fb, 0x7f5, 0x7ef, 0x7e9, 0x7e2, 0x7dc,
0x7d6, 0x7cf, 0x7c9, 0x7c3, 0x7bd, 0x7b6, 0x7b0, 0x7aa,
0x7a4, 0x79d, 0x797, 0x791, 0x78a, 0x784, 0x77e, 0x778,
0x771, 0x76b, 0x765, 0x75f, 0x758, 0x752, 0x74c, 0x745,
0x73f, 0x739, 0x733, 0x72c, 0x726, 0x720, 0x71a, 0x713,
0x70d, 0x707, 0x700, 0x6fa, 0x6f4, 0x6ee, 0x6e7, 0x6e1,
0x6db, 0x6d5, 0x6ce, 0x6c8, 0x6c2, 0x6bb, 0x6b5, 0x6af,
0x6a9, 0x6a2, 0x69c, 0x696, 0x690, 0x689, 0x683, 0x67d,
0x676, 0x670, 0x66a, 0x664, 0x65d, 0x657, 0x651, 0x64a,
0x644, 0x63e, 0x638, 0x631, 0x62b, 0x625, 0x61f, 0x618,
0x612, 0x60c, 0x605, 0x5ff, 0x5f9, 0x5f3, 0x5ec, 0x5e6,
0x5e0, 0x5da, 0x5d3, 0x5cd, 0x5c7, 0x5c0, 0x5ba, 0x5b4,
0x5ae, 0x5a7, 0x5a1, 0x59b, 0x594, 0x58e, 0x588, 0x582,
0x57b, 0x575, 0x56f, 0x569, 0x562, 0x55c, 0x556, 0x54f,
0x549, 0x543, 0x53d, 0x536, 0x530, 0x52a, 0x523, 0x51d,
0x517, 0x511, 0x50a, 0x504, 0x4fe, 0x4f8, 0x4f1, 0x4eb,
0x4e5, 0x4de, 0x4d8, 0x4d2, 0x4cc, 0x4c5, 0x4bf, 0x4b9,
0x4b2, 0x4ac, 0x4a6, 0x4a0, 0x499, 0x493, 0x48d, 0x487,
0x480, 0x47a, 0x474, 0x46d, 0x467, 0x461, 0x45b, 0x454,
0x44e, 0x448, 0x441, 0x43b, 0x435, 0x42f, 0x428, 0x422,
0x41c, 0x415, 0x40f, 0x409, 0x403, 0x3fc, 0x3f6, 0x3f0,
0x3ea, 0x3e3, 0x3dd, 0x3d7, 0x3d0, 0x3ca, 0x3c4, 0x3be,
0x3b7, 0x3b1, 0x3ab, 0x3a4, 0x39e, 0x398, 0x392, 0x38b,
0x385, 0x37f, 0x378, 0x372, 0x36c, 0x366, 0x35f, 0x359,
0x353, 0x34c, 0x346, 0x340, 0x33a, 0x333, 0x32d, 0x327,
0x321, 0x31a, 0x314, 0x30e, 0x307, 0x301, 0x2fb, 0x2f5,
0x2ee, 0x2e8, 0x2e2, 0x2db, 0x2d5, 0x2cf, 0x2c9, 0x2c2,
0x2bc, 0x2b6, 0x2af, 0x2a9, 0x2a3, 0x29d, 0x296, 0x290,
0x28a, 0x283, 0x27d, 0x277, 0x271, 0x26a, 0x264, 0x25e,
0x258, 0x251, 0x24b, 0x245, 0x23e, 0x238, 0x232, 0x22c,
0x225, 0x21f, 0x219, 0x212, 0x20c, 0x206, 0x200, 0x1f9,
0x1f3, 0x1ed, 0x1e6, 0x1e0, 0x1da, 0x1d4, 0x1cd, 0x1c7,
0x1c1, 0x1ba, 0x1b4, 0x1ae, 0x1a8, 0x1a1, 0x19b, 0x195,
0x18e, 0x188, 0x182, 0x17c, 0x175, 0x16f, 0x169, 0x162,
0x15c, 0x156, 0x150, 0x149, 0x143, 0x13d, 0x137, 0x130,
0x12a, 0x124, 0x11d, 0x117, 0x111, 0x10b, 0x104, 0xfe,
0xf8, 0xf1, 0xeb, 0xe5, 0xdf, 0xd8, 0xd2, 0xcc,
0xc5, 0xbf, 0xb9, 0xb3, 0xac, 0xa6, 0xa0, 0x99,
0x93, 0x8d, 0x87, 0x80, 0x7a, 0x74, 0x6d, 0x67,
0x61, 0x5b, 0x54, 0x4e, 0x48, 0x41, 0x3b, 0x35,
0x2f, 0x28, 0x22, 0x1c, 0x15, 0xf, 0x9, 0x3,
};
/**
* @brief Initialization function for the Q15 DCT4/IDCT4.
* @param[in,out] *S points to an instance of Q15 DCT4/IDCT4 structure.
* @param[in] *S_RFFT points to an instance of Q15 RFFT/RIFFT structure.
* @param[in] *S_CFFT points to an instance of Q15 CFFT/CIFFT structure.
* @param[in] N length of the DCT4.
* @param[in] Nby2 half of the length of the DCT4.
* @param[in] normalize normalizing factor.
* @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>N</code> is not a supported transform length.
* \par Normalizing factor:
* The normalizing factor is <code>sqrt(2/N)</code>, which depends on the size of transform <code>N</code>.
* Normalizing factors in 1.15 format are mentioned in the table below for different DCT sizes:
* \image html dct4NormalizingQ15Table.gif
*/
arm_status arm_dct4_init_q15(
arm_dct4_instance_q15 * S,
arm_rfft_instance_q15 * S_RFFT,
arm_cfft_radix4_instance_q15 * S_CFFT,
uint16_t N,
uint16_t Nby2,
q15_t normalize)
{
/* Initialise the default arm status */
arm_status status = ARM_MATH_SUCCESS;
/* Initializing the pointer array with the weight table base addresses of different lengths */
q15_t *twiddlePtr[4] = { (q15_t *) WeightsQ15_128, (q15_t *) WeightsQ15_512,
(q15_t *) WeightsQ15_2048, (q15_t *) WeightsQ15_8192
};
/* Initializing the pointer array with the cos factor table base addresses of different lengths */
q15_t *pCosFactor[4] =
{ (q15_t *) cos_factorsQ15_128, (q15_t *) cos_factorsQ15_512,
(q15_t *) cos_factorsQ15_2048, (q15_t *) cos_factorsQ15_8192
};
/* Initialize the DCT4 length */
S->N = N;
/* Initialize the half of DCT4 length */
S->Nby2 = Nby2;
/* Initialize the DCT4 Normalizing factor */
S->normalize = normalize;
/* Initialize Real FFT Instance */
S->pRfft = S_RFFT;
/* Initialize Complex FFT Instance */
S->pCfft = S_CFFT;
switch (N)
{
/* Initialize the table modifier values */
case 8192u:
S->pTwiddle = twiddlePtr[3];
S->pCosFactor = pCosFactor[3];
break;
case 2048u:
S->pTwiddle = twiddlePtr[2];
S->pCosFactor = pCosFactor[2];
break;
case 512u:
S->pTwiddle = twiddlePtr[1];
S->pCosFactor = pCosFactor[1];
break;
case 128u:
S->pTwiddle = twiddlePtr[0];
S->pCosFactor = pCosFactor[0];
break;
default:
status = ARM_MATH_ARGUMENT_ERROR;
}
/* Initialize the RFFT/RIFFT */
arm_rfft_init_q15(S->pRfft, S->N, 0u, 1u);
/* return the status of DCT4 Init function */
return (status);
}
/**
* @} end of DCT4_IDCT4 group
*/

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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_dct4_q15.c
*
* Description: Processing function of DCT4 & IDCT4 Q15.
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
/**
* @addtogroup DCT4_IDCT4
* @{
*/
/**
* @brief Processing function for the Q15 DCT4/IDCT4.
* @param[in] *S points to an instance of the Q15 DCT4 structure.
* @param[in] *pState points to state buffer.
* @param[in,out] *pInlineBuffer points to the in-place input and output buffer.
* @return none.
*
* \par Input an output formats:
* Internally inputs are downscaled in the RFFT process function to avoid overflows.
* Number of bits downscaled, depends on the size of the transform.
* The input and output formats for different DCT sizes and number of bits to upscale are mentioned in the table below:
*
* \image html dct4FormatsQ15Table.gif
*/
void arm_dct4_q15(
const arm_dct4_instance_q15 * S,
q15_t * pState,
q15_t * pInlineBuffer)
{
uint32_t i; /* Loop counter */
q15_t *weights = S->pTwiddle; /* Pointer to the Weights table */
q15_t *cosFact = S->pCosFactor; /* Pointer to the cos factors table */
q15_t *pS1, *pS2, *pbuff; /* Temporary pointers for input buffer and pState buffer */
q15_t in; /* Temporary variable */
/* DCT4 computation involves DCT2 (which is calculated using RFFT)
* along with some pre-processing and post-processing.
* Computational procedure is explained as follows:
* (a) Pre-processing involves multiplying input with cos factor,
* r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n))
* where,
* r(n) -- output of preprocessing
* u(n) -- input to preprocessing(actual Source buffer)
* (b) Calculation of DCT2 using FFT is divided into three steps:
* Step1: Re-ordering of even and odd elements of input.
* Step2: Calculating FFT of the re-ordered input.
* Step3: Taking the real part of the product of FFT output and weights.
* (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation:
* Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
* where,
* Y4 -- DCT4 output, Y2 -- DCT2 output
* (d) Multiplying the output with the normalizing factor sqrt(2/N).
*/
/*-------- Pre-processing ------------*/
/* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */
arm_mult_q15(pInlineBuffer, cosFact, pInlineBuffer, S->N);
arm_shift_q15(pInlineBuffer, 1, pInlineBuffer, S->N);
/* ----------------------------------------------------------------
* Step1: Re-ordering of even and odd elements as
* pState[i] = pInlineBuffer[2*i] and
* pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2
---------------------------------------------------------------------*/
/* pS1 initialized to pState */
pS1 = pState;
/* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */
pS2 = pState + (S->N - 1u);
/* pbuff initialized to input buffer */
pbuff = pInlineBuffer;
#ifndef ARM_MATH_CM0_FAMILY
/* Run the below code for Cortex-M4 and Cortex-M3 */
/* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */
i = (uint32_t) S->Nby2 >> 2u;
/* First part of the processing with loop unrolling. Compute 4 outputs at a time.
** a second loop below computes the remaining 1 to 3 samples. */
do
{
/* Re-ordering of even and odd elements */
/* pState[i] = pInlineBuffer[2*i] */
*pS1++ = *pbuff++;
/* pState[N-i-1] = pInlineBuffer[2*i+1] */
*pS2-- = *pbuff++;
*pS1++ = *pbuff++;
*pS2-- = *pbuff++;
*pS1++ = *pbuff++;
*pS2-- = *pbuff++;
*pS1++ = *pbuff++;
*pS2-- = *pbuff++;
/* Decrement the loop counter */
i--;
} while(i > 0u);
/* pbuff initialized to input buffer */
pbuff = pInlineBuffer;
/* pS1 initialized to pState */
pS1 = pState;
/* Initializing the loop counter to N/4 instead of N for loop unrolling */
i = (uint32_t) S->N >> 2u;
/* Processing with loop unrolling 4 times as N is always multiple of 4.
* Compute 4 outputs at a time */
do
{
/* Writing the re-ordered output back to inplace input buffer */
*pbuff++ = *pS1++;
*pbuff++ = *pS1++;
*pbuff++ = *pS1++;
*pbuff++ = *pS1++;
/* Decrement the loop counter */
i--;
} while(i > 0u);
/* ---------------------------------------------------------
* Step2: Calculate RFFT for N-point input
* ---------------------------------------------------------- */
/* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
arm_rfft_q15(S->pRfft, pInlineBuffer, pState);
/*----------------------------------------------------------------------
* Step3: Multiply the FFT output with the weights.
*----------------------------------------------------------------------*/
arm_cmplx_mult_cmplx_q15(pState, weights, pState, S->N);
/* The output of complex multiplication is in 3.13 format.
* Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.15 format by shifting left by 2 bits. */
arm_shift_q15(pState, 2, pState, S->N * 2);
/* ----------- Post-processing ---------- */
/* DCT-IV can be obtained from DCT-II by the equation,
* Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
* Hence, Y4(0) = Y2(0)/2 */
/* Getting only real part from the output and Converting to DCT-IV */
/* Initializing the loop counter to N >> 2 for loop unrolling by 4 */
i = ((uint32_t) S->N - 1u) >> 2u;
/* pbuff initialized to input buffer. */
pbuff = pInlineBuffer;
/* pS1 initialized to pState */
pS1 = pState;
/* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
in = *pS1++ >> 1u;
/* input buffer acts as inplace, so output values are stored in the input itself. */
*pbuff++ = in;
/* pState pointer is incremented twice as the real values are located alternatively in the array */
pS1++;
/* First part of the processing with loop unrolling. Compute 4 outputs at a time.
** a second loop below computes the remaining 1 to 3 samples. */
do
{
/* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
/* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
in = *pS1++ - in;
*pbuff++ = in;
/* points to the next real value */
pS1++;
in = *pS1++ - in;
*pbuff++ = in;
pS1++;
in = *pS1++ - in;
*pbuff++ = in;
pS1++;
in = *pS1++ - in;
*pbuff++ = in;
pS1++;
/* Decrement the loop counter */
i--;
} while(i > 0u);
/* If the blockSize is not a multiple of 4, compute any remaining output samples here.
** No loop unrolling is used. */
i = ((uint32_t) S->N - 1u) % 0x4u;
while(i > 0u)
{
/* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
/* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
in = *pS1++ - in;
*pbuff++ = in;
/* points to the next real value */
pS1++;
/* Decrement the loop counter */
i--;
}
/*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
/* Initializing the loop counter to N/4 instead of N for loop unrolling */
i = (uint32_t) S->N >> 2u;
/* pbuff initialized to the pInlineBuffer(now contains the output values) */
pbuff = pInlineBuffer;
/* Processing with loop unrolling 4 times as N is always multiple of 4. Compute 4 outputs at a time */
do
{
/* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
in = *pbuff;
*pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
in = *pbuff;
*pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
in = *pbuff;
*pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
in = *pbuff;
*pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
/* Decrement the loop counter */
i--;
} while(i > 0u);
#else
/* Run the below code for Cortex-M0 */
/* Initializing the loop counter to N/2 */
i = (uint32_t) S->Nby2;
do
{
/* Re-ordering of even and odd elements */
/* pState[i] = pInlineBuffer[2*i] */
*pS1++ = *pbuff++;
/* pState[N-i-1] = pInlineBuffer[2*i+1] */
*pS2-- = *pbuff++;
/* Decrement the loop counter */
i--;
} while(i > 0u);
/* pbuff initialized to input buffer */
pbuff = pInlineBuffer;
/* pS1 initialized to pState */
pS1 = pState;
/* Initializing the loop counter */
i = (uint32_t) S->N;
do
{
/* Writing the re-ordered output back to inplace input buffer */
*pbuff++ = *pS1++;
/* Decrement the loop counter */
i--;
} while(i > 0u);
/* ---------------------------------------------------------
* Step2: Calculate RFFT for N-point input
* ---------------------------------------------------------- */
/* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
arm_rfft_q15(S->pRfft, pInlineBuffer, pState);
/*----------------------------------------------------------------------
* Step3: Multiply the FFT output with the weights.
*----------------------------------------------------------------------*/
arm_cmplx_mult_cmplx_q15(pState, weights, pState, S->N);
/* The output of complex multiplication is in 3.13 format.
* Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.15 format by shifting left by 2 bits. */
arm_shift_q15(pState, 2, pState, S->N * 2);
/* ----------- Post-processing ---------- */
/* DCT-IV can be obtained from DCT-II by the equation,
* Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
* Hence, Y4(0) = Y2(0)/2 */
/* Getting only real part from the output and Converting to DCT-IV */
/* Initializing the loop counter */
i = ((uint32_t) S->N - 1u);
/* pbuff initialized to input buffer. */
pbuff = pInlineBuffer;
/* pS1 initialized to pState */
pS1 = pState;
/* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
in = *pS1++ >> 1u;
/* input buffer acts as inplace, so output values are stored in the input itself. */
*pbuff++ = in;
/* pState pointer is incremented twice as the real values are located alternatively in the array */
pS1++;
do
{
/* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
/* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
in = *pS1++ - in;
*pbuff++ = in;
/* points to the next real value */
pS1++;
/* Decrement the loop counter */
i--;
} while(i > 0u);
/*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
/* Initializing the loop counter */
i = (uint32_t) S->N;
/* pbuff initialized to the pInlineBuffer(now contains the output values) */
pbuff = pInlineBuffer;
do
{
/* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
in = *pbuff;
*pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
/* Decrement the loop counter */
i--;
} while(i > 0u);
#endif /* #ifndef ARM_MATH_CM0_FAMILY */
}
/**
* @} end of DCT4_IDCT4 group
*/

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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_dct4_q31.c
*
* Description: Processing function of DCT4 & IDCT4 Q31.
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
/**
* @addtogroup DCT4_IDCT4
* @{
*/
/**
* @brief Processing function for the Q31 DCT4/IDCT4.
* @param[in] *S points to an instance of the Q31 DCT4 structure.
* @param[in] *pState points to state buffer.
* @param[in,out] *pInlineBuffer points to the in-place input and output buffer.
* @return none.
* \par Input an output formats:
* Input samples need to be downscaled by 1 bit to avoid saturations in the Q31 DCT process,
* as the conversion from DCT2 to DCT4 involves one subtraction.
* Internally inputs are downscaled in the RFFT process function to avoid overflows.
* Number of bits downscaled, depends on the size of the transform.
* The input and output formats for different DCT sizes and number of bits to upscale are mentioned in the table below:
*
* \image html dct4FormatsQ31Table.gif
*/
void arm_dct4_q31(
const arm_dct4_instance_q31 * S,
q31_t * pState,
q31_t * pInlineBuffer)
{
uint16_t i; /* Loop counter */
q31_t *weights = S->pTwiddle; /* Pointer to the Weights table */
q31_t *cosFact = S->pCosFactor; /* Pointer to the cos factors table */
q31_t *pS1, *pS2, *pbuff; /* Temporary pointers for input buffer and pState buffer */
q31_t in; /* Temporary variable */
/* DCT4 computation involves DCT2 (which is calculated using RFFT)
* along with some pre-processing and post-processing.
* Computational procedure is explained as follows:
* (a) Pre-processing involves multiplying input with cos factor,
* r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n))
* where,
* r(n) -- output of preprocessing
* u(n) -- input to preprocessing(actual Source buffer)
* (b) Calculation of DCT2 using FFT is divided into three steps:
* Step1: Re-ordering of even and odd elements of input.
* Step2: Calculating FFT of the re-ordered input.
* Step3: Taking the real part of the product of FFT output and weights.
* (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation:
* Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
* where,
* Y4 -- DCT4 output, Y2 -- DCT2 output
* (d) Multiplying the output with the normalizing factor sqrt(2/N).
*/
/*-------- Pre-processing ------------*/
/* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */
arm_mult_q31(pInlineBuffer, cosFact, pInlineBuffer, S->N);
arm_shift_q31(pInlineBuffer, 1, pInlineBuffer, S->N);
/* ----------------------------------------------------------------
* Step1: Re-ordering of even and odd elements as
* pState[i] = pInlineBuffer[2*i] and
* pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2
---------------------------------------------------------------------*/
/* pS1 initialized to pState */
pS1 = pState;
/* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */
pS2 = pState + (S->N - 1u);
/* pbuff initialized to input buffer */
pbuff = pInlineBuffer;
#ifndef ARM_MATH_CM0_FAMILY
/* Run the below code for Cortex-M4 and Cortex-M3 */
/* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */
i = S->Nby2 >> 2u;
/* First part of the processing with loop unrolling. Compute 4 outputs at a time.
** a second loop below computes the remaining 1 to 3 samples. */
do
{
/* Re-ordering of even and odd elements */
/* pState[i] = pInlineBuffer[2*i] */
*pS1++ = *pbuff++;
/* pState[N-i-1] = pInlineBuffer[2*i+1] */
*pS2-- = *pbuff++;
*pS1++ = *pbuff++;
*pS2-- = *pbuff++;
*pS1++ = *pbuff++;
*pS2-- = *pbuff++;
*pS1++ = *pbuff++;
*pS2-- = *pbuff++;
/* Decrement the loop counter */
i--;
} while(i > 0u);
/* pbuff initialized to input buffer */
pbuff = pInlineBuffer;
/* pS1 initialized to pState */
pS1 = pState;
/* Initializing the loop counter to N/4 instead of N for loop unrolling */
i = S->N >> 2u;
/* Processing with loop unrolling 4 times as N is always multiple of 4.
* Compute 4 outputs at a time */
do
{
/* Writing the re-ordered output back to inplace input buffer */
*pbuff++ = *pS1++;
*pbuff++ = *pS1++;
*pbuff++ = *pS1++;
*pbuff++ = *pS1++;
/* Decrement the loop counter */
i--;
} while(i > 0u);
/* ---------------------------------------------------------
* Step2: Calculate RFFT for N-point input
* ---------------------------------------------------------- */
/* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
arm_rfft_q31(S->pRfft, pInlineBuffer, pState);
/*----------------------------------------------------------------------
* Step3: Multiply the FFT output with the weights.
*----------------------------------------------------------------------*/
arm_cmplx_mult_cmplx_q31(pState, weights, pState, S->N);
/* The output of complex multiplication is in 3.29 format.
* Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.31 format by shifting left by 2 bits. */
arm_shift_q31(pState, 2, pState, S->N * 2);
/* ----------- Post-processing ---------- */
/* DCT-IV can be obtained from DCT-II by the equation,
* Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
* Hence, Y4(0) = Y2(0)/2 */
/* Getting only real part from the output and Converting to DCT-IV */
/* Initializing the loop counter to N >> 2 for loop unrolling by 4 */
i = (S->N - 1u) >> 2u;
/* pbuff initialized to input buffer. */
pbuff = pInlineBuffer;
/* pS1 initialized to pState */
pS1 = pState;
/* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
in = *pS1++ >> 1u;
/* input buffer acts as inplace, so output values are stored in the input itself. */
*pbuff++ = in;
/* pState pointer is incremented twice as the real values are located alternatively in the array */
pS1++;
/* First part of the processing with loop unrolling. Compute 4 outputs at a time.
** a second loop below computes the remaining 1 to 3 samples. */
do
{
/* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
/* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
in = *pS1++ - in;
*pbuff++ = in;
/* points to the next real value */
pS1++;
in = *pS1++ - in;
*pbuff++ = in;
pS1++;
in = *pS1++ - in;
*pbuff++ = in;
pS1++;
in = *pS1++ - in;
*pbuff++ = in;
pS1++;
/* Decrement the loop counter */
i--;
} while(i > 0u);
/* If the blockSize is not a multiple of 4, compute any remaining output samples here.
** No loop unrolling is used. */
i = (S->N - 1u) % 0x4u;
while(i > 0u)
{
/* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
/* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
in = *pS1++ - in;
*pbuff++ = in;
/* points to the next real value */
pS1++;
/* Decrement the loop counter */
i--;
}
/*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
/* Initializing the loop counter to N/4 instead of N for loop unrolling */
i = S->N >> 2u;
/* pbuff initialized to the pInlineBuffer(now contains the output values) */
pbuff = pInlineBuffer;
/* Processing with loop unrolling 4 times as N is always multiple of 4. Compute 4 outputs at a time */
do
{
/* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
in = *pbuff;
*pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
in = *pbuff;
*pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
in = *pbuff;
*pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
in = *pbuff;
*pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
/* Decrement the loop counter */
i--;
} while(i > 0u);
#else
/* Run the below code for Cortex-M0 */
/* Initializing the loop counter to N/2 */
i = S->Nby2;
do
{
/* Re-ordering of even and odd elements */
/* pState[i] = pInlineBuffer[2*i] */
*pS1++ = *pbuff++;
/* pState[N-i-1] = pInlineBuffer[2*i+1] */
*pS2-- = *pbuff++;
/* Decrement the loop counter */
i--;
} while(i > 0u);
/* pbuff initialized to input buffer */
pbuff = pInlineBuffer;
/* pS1 initialized to pState */
pS1 = pState;
/* Initializing the loop counter */
i = S->N;
do
{
/* Writing the re-ordered output back to inplace input buffer */
*pbuff++ = *pS1++;
/* Decrement the loop counter */
i--;
} while(i > 0u);
/* ---------------------------------------------------------
* Step2: Calculate RFFT for N-point input
* ---------------------------------------------------------- */
/* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
arm_rfft_q31(S->pRfft, pInlineBuffer, pState);
/*----------------------------------------------------------------------
* Step3: Multiply the FFT output with the weights.
*----------------------------------------------------------------------*/
arm_cmplx_mult_cmplx_q31(pState, weights, pState, S->N);
/* The output of complex multiplication is in 3.29 format.
* Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.31 format by shifting left by 2 bits. */
arm_shift_q31(pState, 2, pState, S->N * 2);
/* ----------- Post-processing ---------- */
/* DCT-IV can be obtained from DCT-II by the equation,
* Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
* Hence, Y4(0) = Y2(0)/2 */
/* Getting only real part from the output and Converting to DCT-IV */
/* pbuff initialized to input buffer. */
pbuff = pInlineBuffer;
/* pS1 initialized to pState */
pS1 = pState;
/* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
in = *pS1++ >> 1u;
/* input buffer acts as inplace, so output values are stored in the input itself. */
*pbuff++ = in;
/* pState pointer is incremented twice as the real values are located alternatively in the array */
pS1++;
/* Initializing the loop counter */
i = (S->N - 1u);
while(i > 0u)
{
/* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
/* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
in = *pS1++ - in;
*pbuff++ = in;
/* points to the next real value */
pS1++;
/* Decrement the loop counter */
i--;
}
/*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
/* Initializing the loop counter */
i = S->N;
/* pbuff initialized to the pInlineBuffer(now contains the output values) */
pbuff = pInlineBuffer;
do
{
/* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
in = *pbuff;
*pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
/* Decrement the loop counter */
i--;
} while(i > 0u);
#endif /* #ifndef ARM_MATH_CM0_FAMILY */
}
/**
* @} end of DCT4_IDCT4 group
*/

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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_rfft_f32.c
*
* Description: RFFT & RIFFT Floating point process function
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
extern void arm_radix4_butterfly_f32(
float32_t * pSrc,
uint16_t fftLen,
float32_t * pCoef,
uint16_t twidCoefModifier);
extern void arm_radix4_butterfly_inverse_f32(
float32_t * pSrc,
uint16_t fftLen,
float32_t * pCoef,
uint16_t twidCoefModifier,
float32_t onebyfftLen);
extern void arm_bitreversal_f32(
float32_t * pSrc,
uint16_t fftSize,
uint16_t bitRevFactor,
uint16_t * pBitRevTab);
/**
* @ingroup groupTransforms
*/
/*--------------------------------------------------------------------
* Internal functions prototypes
*--------------------------------------------------------------------*/
void arm_split_rfft_f32(
float32_t * pSrc,
uint32_t fftLen,
float32_t * pATable,
float32_t * pBTable,
float32_t * pDst,
uint32_t modifier);
void arm_split_rifft_f32(
float32_t * pSrc,
uint32_t fftLen,
float32_t * pATable,
float32_t * pBTable,
float32_t * pDst,
uint32_t modifier);
/**
* @addtogroup RealFFT
* @{
*/
/**
* @brief Processing function for the floating-point RFFT/RIFFT.
* @deprecated Do not use this function. It has been superceded by \ref arm_rfft_fast_f32 and will be removed
* in the future.
* @param[in] *S points to an instance of the floating-point RFFT/RIFFT structure.
* @param[in] *pSrc points to the input buffer.
* @param[out] *pDst points to the output buffer.
* @return none.
*/
void arm_rfft_f32(
const arm_rfft_instance_f32 * S,
float32_t * pSrc,
float32_t * pDst)
{
const arm_cfft_radix4_instance_f32 *S_CFFT = S->pCfft;
/* Calculation of Real IFFT of input */
if(S->ifftFlagR == 1u)
{
/* Real IFFT core process */
arm_split_rifft_f32(pSrc, S->fftLenBy2, S->pTwiddleAReal,
S->pTwiddleBReal, pDst, S->twidCoefRModifier);
/* Complex radix-4 IFFT process */
arm_radix4_butterfly_inverse_f32(pDst, S_CFFT->fftLen,
S_CFFT->pTwiddle,
S_CFFT->twidCoefModifier,
S_CFFT->onebyfftLen);
/* Bit reversal process */
if(S->bitReverseFlagR == 1u)
{
arm_bitreversal_f32(pDst, S_CFFT->fftLen,
S_CFFT->bitRevFactor, S_CFFT->pBitRevTable);
}
}
else
{
/* Calculation of RFFT of input */
/* Complex radix-4 FFT process */
arm_radix4_butterfly_f32(pSrc, S_CFFT->fftLen,
S_CFFT->pTwiddle, S_CFFT->twidCoefModifier);
/* Bit reversal process */
if(S->bitReverseFlagR == 1u)
{
arm_bitreversal_f32(pSrc, S_CFFT->fftLen,
S_CFFT->bitRevFactor, S_CFFT->pBitRevTable);
}
/* Real FFT core process */
arm_split_rfft_f32(pSrc, S->fftLenBy2, S->pTwiddleAReal,
S->pTwiddleBReal, pDst, S->twidCoefRModifier);
}
}
/**
* @} end of RealFFT group
*/
/**
* @brief Core Real FFT process
* @param[in] *pSrc points to the input buffer.
* @param[in] fftLen length of FFT.
* @param[in] *pATable points to the twiddle Coef A buffer.
* @param[in] *pBTable points to the twiddle Coef B buffer.
* @param[out] *pDst points to the output buffer.
* @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
* @return none.
*/
void arm_split_rfft_f32(
float32_t * pSrc,
uint32_t fftLen,
float32_t * pATable,
float32_t * pBTable,
float32_t * pDst,
uint32_t modifier)
{
uint32_t i; /* Loop Counter */
float32_t outR, outI; /* Temporary variables for output */
float32_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */
float32_t CoefA1, CoefA2, CoefB1; /* Temporary variables for twiddle coefficients */
float32_t *pDst1 = &pDst[2], *pDst2 = &pDst[(4u * fftLen) - 1u]; /* temp pointers for output buffer */
float32_t *pSrc1 = &pSrc[2], *pSrc2 = &pSrc[(2u * fftLen) - 1u]; /* temp pointers for input buffer */
/* Init coefficient pointers */
pCoefA = &pATable[modifier * 2u];
pCoefB = &pBTable[modifier * 2u];
i = fftLen - 1u;
while(i > 0u)
{
/*
outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1]
+ pSrc[2 * n - 2 * i] * pBTable[2 * i] +
pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
*/
/* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] +
pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -
pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); */
/* read pATable[2 * i] */
CoefA1 = *pCoefA++;
/* pATable[2 * i + 1] */
CoefA2 = *pCoefA;
/* pSrc[2 * i] * pATable[2 * i] */
outR = *pSrc1 * CoefA1;
/* pSrc[2 * i] * CoefA2 */
outI = *pSrc1++ * CoefA2;
/* (pSrc[2 * i + 1] + pSrc[2 * fftLen - 2 * i + 1]) * CoefA2 */
outR -= (*pSrc1 + *pSrc2) * CoefA2;
/* pSrc[2 * i + 1] * CoefA1 */
outI += *pSrc1++ * CoefA1;
CoefB1 = *pCoefB;
/* pSrc[2 * fftLen - 2 * i + 1] * CoefB1 */
outI -= *pSrc2-- * CoefB1;
/* pSrc[2 * fftLen - 2 * i] * CoefA2 */
outI -= *pSrc2 * CoefA2;
/* pSrc[2 * fftLen - 2 * i] * CoefB1 */
outR += *pSrc2-- * CoefB1;
/* write output */
*pDst1++ = outR;
*pDst1++ = outI;
/* write complex conjugate output */
*pDst2-- = -outI;
*pDst2-- = outR;
/* update coefficient pointer */
pCoefB = pCoefB + (modifier * 2u);
pCoefA = pCoefA + ((modifier * 2u) - 1u);
i--;
}
pDst[2u * fftLen] = pSrc[0] - pSrc[1];
pDst[(2u * fftLen) + 1u] = 0.0f;
pDst[0] = pSrc[0] + pSrc[1];
pDst[1] = 0.0f;
}
/**
* @brief Core Real IFFT process
* @param[in] *pSrc points to the input buffer.
* @param[in] fftLen length of FFT.
* @param[in] *pATable points to the twiddle Coef A buffer.
* @param[in] *pBTable points to the twiddle Coef B buffer.
* @param[out] *pDst points to the output buffer.
* @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
* @return none.
*/
void arm_split_rifft_f32(
float32_t * pSrc,
uint32_t fftLen,
float32_t * pATable,
float32_t * pBTable,
float32_t * pDst,
uint32_t modifier)
{
float32_t outR, outI; /* Temporary variables for output */
float32_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */
float32_t CoefA1, CoefA2, CoefB1; /* Temporary variables for twiddle coefficients */
float32_t *pSrc1 = &pSrc[0], *pSrc2 = &pSrc[(2u * fftLen) + 1u];
pCoefA = &pATable[0];
pCoefB = &pBTable[0];
while(fftLen > 0u)
{
/*
outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +
pIn[2 * n - 2 * i] * pBTable[2 * i] -
pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] -
pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -
pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);
*/
CoefA1 = *pCoefA++;
CoefA2 = *pCoefA;
/* outR = (pSrc[2 * i] * CoefA1 */
outR = *pSrc1 * CoefA1;
/* - pSrc[2 * i] * CoefA2 */
outI = -(*pSrc1++) * CoefA2;
/* (pSrc[2 * i + 1] + pSrc[2 * fftLen - 2 * i + 1]) * CoefA2 */
outR += (*pSrc1 + *pSrc2) * CoefA2;
/* pSrc[2 * i + 1] * CoefA1 */
outI += (*pSrc1++) * CoefA1;
CoefB1 = *pCoefB;
/* - pSrc[2 * fftLen - 2 * i + 1] * CoefB1 */
outI -= *pSrc2-- * CoefB1;
/* pSrc[2 * fftLen - 2 * i] * CoefB1 */
outR += *pSrc2 * CoefB1;
/* pSrc[2 * fftLen - 2 * i] * CoefA2 */
outI += *pSrc2-- * CoefA2;
/* write output */
*pDst++ = outR;
*pDst++ = outI;
/* update coefficient pointer */
pCoefB = pCoefB + (modifier * 2u);
pCoefA = pCoefA + ((modifier * 2u) - 1u);
/* Decrement loop count */
fftLen--;
}
}

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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_rfft_f32.c
*
* Description: RFFT & RIFFT Floating point process function
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
void stage_rfft_f32(
arm_rfft_fast_instance_f32 * S,
float32_t * p, float32_t * pOut)
{
uint32_t k; /* Loop Counter */
float32_t twR, twI; /* RFFT Twiddle coefficients */
float32_t * pCoeff = S->pTwiddleRFFT; /* Points to RFFT Twiddle factors */
float32_t *pA = p; /* increasing pointer */
float32_t *pB = p; /* decreasing pointer */
float32_t xAR, xAI, xBR, xBI; /* temporary variables */
float32_t t1a, t1b; /* temporary variables */
float32_t p0, p1, p2, p3; /* temporary variables */
k = (S->Sint).fftLen - 1;
/* Pack first and last sample of the frequency domain together */
xBR = pB[0];
xBI = pB[1];
xAR = pA[0];
xAI = pA[1];
twR = *pCoeff++ ;
twI = *pCoeff++ ;
// U1 = XA(1) + XB(1); % It is real
t1a = xBR + xAR ;
// U2 = XB(1) - XA(1); % It is imaginary
t1b = xBI + xAI ;
// real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI);
// imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI);
*pOut++ = 0.5f * ( t1a + t1b );
*pOut++ = 0.5f * ( t1a - t1b );
// XA(1) = 1/2*( U1 - imag(U2) + i*( U1 +imag(U2) ));
pB = p + 2*k;
pA += 2;
do
{
/*
function X = my_split_rfft(X, ifftFlag)
% X is a series of real numbers
L = length(X);
XC = X(1:2:end) +i*X(2:2:end);
XA = fft(XC);
XB = conj(XA([1 end:-1:2]));
TW = i*exp(-2*pi*i*[0:L/2-1]/L).';
for l = 2:L/2
XA(l) = 1/2 * (XA(l) + XB(l) + TW(l) * (XB(l) - XA(l)));
end
XA(1) = 1/2* (XA(1) + XB(1) + TW(1) * (XB(1) - XA(1))) + i*( 1/2*( XA(1) + XB(1) + i*( XA(1) - XB(1))));
X = XA;
*/
xBI = pB[1];
xBR = pB[0];
xAR = pA[0];
xAI = pA[1];
twR = *pCoeff++;
twI = *pCoeff++;
t1a = xBR - xAR ;
t1b = xBI + xAI ;
// real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI);
// imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI);
p0 = twR * t1a;
p1 = twI * t1a;
p2 = twR * t1b;
p3 = twI * t1b;
*pOut++ = 0.5f * (xAR + xBR + p0 + p3 ); //xAR
*pOut++ = 0.5f * (xAI - xBI + p1 - p2 ); //xAI
pA += 2;
pB -= 2;
k--;
} while(k > 0u);
}
/* Prepares data for inverse cfft */
void merge_rfft_f32(
arm_rfft_fast_instance_f32 * S,
float32_t * p, float32_t * pOut)
{
uint32_t k; /* Loop Counter */
float32_t twR, twI; /* RFFT Twiddle coefficients */
float32_t *pCoeff = S->pTwiddleRFFT; /* Points to RFFT Twiddle factors */
float32_t *pA = p; /* increasing pointer */
float32_t *pB = p; /* decreasing pointer */
float32_t xAR, xAI, xBR, xBI; /* temporary variables */
float32_t t1a, t1b, r, s, t, u; /* temporary variables */
k = (S->Sint).fftLen - 1;
xAR = pA[0];
xAI = pA[1];
pCoeff += 2 ;
*pOut++ = 0.5f * ( xAR + xAI );
*pOut++ = 0.5f * ( xAR - xAI );
pB = p + 2*k ;
pA += 2 ;
while(k > 0u)
{
/* G is half of the frequency complex spectrum */
//for k = 2:N
// Xk(k) = 1/2 * (G(k) + conj(G(N-k+2)) + Tw(k)*( G(k) - conj(G(N-k+2))));
xBI = pB[1] ;
xBR = pB[0] ;
xAR = pA[0];
xAI = pA[1];
twR = *pCoeff++;
twI = *pCoeff++;
t1a = xAR - xBR ;
t1b = xAI + xBI ;
r = twR * t1a;
s = twI * t1b;
t = twI * t1a;
u = twR * t1b;
// real(tw * (xA - xB)) = twR * (xAR - xBR) - twI * (xAI - xBI);
// imag(tw * (xA - xB)) = twI * (xAR - xBR) + twR * (xAI - xBI);
*pOut++ = 0.5f * (xAR + xBR - r - s ); //xAR
*pOut++ = 0.5f * (xAI - xBI + t - u ); //xAI
pA += 2;
pB -= 2;
k--;
}
}
/**
* @ingroup groupTransforms
*/
/**
* @defgroup Fast Real FFT Functions
*
* \par
* The CMSIS DSP library includes specialized algorithms for computing the
* FFT of real data sequences. The FFT is defined over complex data but
* in many applications the input is real. Real FFT algorithms take advantage
* of the symmetry properties of the FFT and have a speed advantage over complex
* algorithms of the same length.
* \par
* The Fast RFFT algorith relays on the mixed radix CFFT that save processor usage.
* \par
* The real length N forward FFT of a sequence is computed using the steps shown below.
* \par
* \image html RFFT.gif "Real Fast Fourier Transform"
* \par
* The real sequence is initially treated as if it were complex to perform a CFFT.
* Later, a processing stage reshapes the data to obtain half of the frequency spectrum
* in complex format. Except the first complex number that contains the two real numbers
* X[0] and X[N/2] all the data is complex. In other words, the first complex sample
* contains two real values packed.
* \par
* The input for the inverse RFFT should keep the same format as the output of the
* forward RFFT. A first processing stage pre-process the data to later perform an
* inverse CFFT.
* \par
* \image html RIFFT.gif "Real Inverse Fast Fourier Transform"
* \par
* The algorithms for floating-point, Q15, and Q31 data are slightly different
* and we describe each algorithm in turn.
* \par Floating-point
* The main functions are <code>arm_rfft_fast_f32()</code>
* and <code>arm_rfft_fast_init_f32()</code>. The older functions
* <code>arm_rfft_f32()</code> and <code>arm_rfft_init_f32()</code> have been
* deprecated but are still documented.
* \par
* The FFT of a real N-point sequence has even symmetry in the frequency
* domain. The second half of the data equals the conjugate of the first half
* flipped in frequency:
* <pre>
*X[0] - real data
*X[1] - complex data
*X[2] - complex data
*...
*X[fftLen/2-1] - complex data
*X[fftLen/2] - real data
*X[fftLen/2+1] - conjugate of X[fftLen/2-1]
*X[fftLen/2+2] - conjugate of X[fftLen/2-2]
*...
*X[fftLen-1] - conjugate of X[1]
* </pre>
* Looking at the data, we see that we can uniquely represent the FFT using only
* <pre>
*N/2+1 samples:
*X[0] - real data
*X[1] - complex data
*X[2] - complex data
*...
*X[fftLen/2-1] - complex data
*X[fftLen/2] - real data
* </pre>
* Looking more closely we see that the first and last samples are real valued.
* They can be packed together and we can thus represent the FFT of an N-point
* real sequence by N/2 complex values:
* <pre>
*X[0],X[N/2] - packed real data: X[0] + jX[N/2]
*X[1] - complex data
*X[2] - complex data
*...
*X[fftLen/2-1] - complex data
* </pre>
* The real FFT functions pack the frequency domain data in this fashion. The
* forward transform outputs the data in this form and the inverse transform
* expects input data in this form. The function always performs the needed
* bitreversal so that the input and output data is always in normal order. The
* functions support lengths of [32, 64, 128, ..., 4096] samples.
* \par
* The forward and inverse real FFT functions apply the standard FFT scaling; no
* scaling on the forward transform and 1/fftLen scaling on the inverse
* transform.
* \par Q15 and Q31
* The real algorithms are defined in a similar manner and utilize N/2 complex
* transforms behind the scenes.
* \par
* The complex transforms used internally include scaling to prevent fixed-point
* overflows. The overall scaling equals 1/(fftLen/2).
* \par
* A separate instance structure must be defined for each transform used but
* twiddle factor and bit reversal tables can be reused.
* \par
* There is also an associated initialization function for each data type.
* The initialization function performs the following operations:
* - Sets the values of the internal structure fields.
* - Initializes twiddle factor table and bit reversal table pointers.
* - Initializes the internal complex FFT data structure.
* \par
* Use of the initialization function is optional.
* However, if the initialization function is used, then the instance structure
* cannot be placed into a const data section. To place an instance structure
* into a const data section, the instance structure should be manually
* initialized as follows:
* <pre>
*arm_rfft_instance_q31 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};
*arm_rfft_instance_q15 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};
* </pre>
* where <code>fftLenReal</code> is the length of the real transform;
* <code>fftLenBy2</code> length of the internal complex transform.
* <code>ifftFlagR</code> Selects forward (=0) or inverse (=1) transform.
* <code>bitReverseFlagR</code> Selects bit reversed output (=0) or normal order
* output (=1).
* <code>twidCoefRModifier</code> stride modifier for the twiddle factor table.
* The value is based on the FFT length;
* <code>pTwiddleAReal</code>points to the A array of twiddle coefficients;
* <code>pTwiddleBReal</code>points to the B array of twiddle coefficients;
* <code>pCfft</code> points to the CFFT Instance structure. The CFFT structure
* must also be initialized. Refer to arm_cfft_radix4_f32() for details regarding
* static initialization of the complex FFT instance structure.
*/
/**
* @addtogroup RealFFT
* @{
*/
/**
* @brief Processing function for the floating-point real FFT.
* @param[in] *S points to an arm_rfft_fast_instance_f32 structure.
* @param[in] *p points to the input buffer.
* @param[in] *pOut points to the output buffer.
* @param[in] ifftFlag RFFT if flag is 0, RIFFT if flag is 1
* @return none.
*/
void arm_rfft_fast_f32(
arm_rfft_fast_instance_f32 * S,
float32_t * p, float32_t * pOut,
uint8_t ifftFlag)
{
arm_cfft_instance_f32 * Sint = &(S->Sint);
Sint->fftLen = S->fftLenRFFT / 2;
/* Calculation of Real FFT */
if(ifftFlag)
{
/* Real FFT compression */
merge_rfft_f32(S, p, pOut);
/* Complex radix-4 IFFT process */
arm_cfft_f32( Sint, pOut, ifftFlag, 1);
}
else
{
/* Calculation of RFFT of input */
arm_cfft_f32( Sint, p, ifftFlag, 1);
/* Real FFT extraction */
stage_rfft_f32(S, p, pOut);
}
}
/**
* @} end of RealFFT group
*/

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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_cfft_init_f32.c
*
* Description: Split Radix Decimation in Frequency CFFT Floating point processing function
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
#include "arm_common_tables.h"
/**
* @ingroup groupTransforms
*/
/**
* @addtogroup RealFFT
* @{
*/
/**
* @brief Initialization function for the floating-point real FFT.
* @param[in,out] *S points to an arm_rfft_fast_instance_f32 structure.
* @param[in] fftLen length of the Real Sequence.
* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value.
*
* \par Description:
* \par
* The parameter <code>fftLen</code> Specifies length of RFFT/CIFFT process. Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096.
* \par
* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.
*/
arm_status arm_rfft_fast_init_f32(
arm_rfft_fast_instance_f32 * S,
uint16_t fftLen)
{
arm_cfft_instance_f32 * Sint;
/* Initialise the default arm status */
arm_status status = ARM_MATH_SUCCESS;
/* Initialise the FFT length */
Sint = &(S->Sint);
Sint->fftLen = fftLen/2;
S->fftLenRFFT = fftLen;
/* Initializations of structure parameters depending on the FFT length */
switch (Sint->fftLen)
{
case 2048u:
/* Initializations of structure parameters for 2048 point FFT */
/* Initialise the bit reversal table length */
Sint->bitRevLength = ARMBITREVINDEXTABLE2048_TABLE_LENGTH;
/* Initialise the bit reversal table pointer */
Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable2048;
/* Initialise the Twiddle coefficient pointers */
Sint->pTwiddle = (float32_t *) twiddleCoef_2048;
S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_4096;
break;
case 1024u:
Sint->bitRevLength = ARMBITREVINDEXTABLE1024_TABLE_LENGTH;
Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable1024;
Sint->pTwiddle = (float32_t *) twiddleCoef_1024;
S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_2048;
break;
case 512u:
Sint->bitRevLength = ARMBITREVINDEXTABLE_512_TABLE_LENGTH;
Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable512;
Sint->pTwiddle = (float32_t *) twiddleCoef_512;
S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_1024;
break;
case 256u:
Sint->bitRevLength = ARMBITREVINDEXTABLE_256_TABLE_LENGTH;
Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable256;
Sint->pTwiddle = (float32_t *) twiddleCoef_256;
S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_512;
break;
case 128u:
Sint->bitRevLength = ARMBITREVINDEXTABLE_128_TABLE_LENGTH;
Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable128;
Sint->pTwiddle = (float32_t *) twiddleCoef_128;
S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_256;
break;
case 64u:
Sint->bitRevLength = ARMBITREVINDEXTABLE__64_TABLE_LENGTH;
Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable64;
Sint->pTwiddle = (float32_t *) twiddleCoef_64;
S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_128;
break;
case 32u:
Sint->bitRevLength = ARMBITREVINDEXTABLE__32_TABLE_LENGTH;
Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable32;
Sint->pTwiddle = (float32_t *) twiddleCoef_32;
S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_64;
break;
case 16u:
Sint->bitRevLength = ARMBITREVINDEXTABLE__16_TABLE_LENGTH;
Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable16;
Sint->pTwiddle = (float32_t *) twiddleCoef_16;
S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_32;
break;
default:
/* Reporting argument error if fftSize is not valid value */
status = ARM_MATH_ARGUMENT_ERROR;
break;
}
return (status);
}
/**
* @} end of RealFFT group
*/

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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_rfft_init_q15.c
*
* Description: RFFT & RIFFT Q15 initialisation function
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
#include "arm_common_tables.h"
#include "arm_const_structs.h"
/**
* @ingroup groupTransforms
*/
/**
* @addtogroup RealFFT
* @{
*/
/**
* \par
* Generation fixed-point realCoefAQ15 array in Q15 format:
* \par
* n = 4096
* <pre>for (i = 0; i < n; i++)
* {
* pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
* pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
* } </pre>
* \par
* Convert to fixed point Q15 format
* round(pATable[i] * pow(2, 15))
*/
static const q15_t ALIGN4 realCoefAQ15[8192] = {
0x4000, 0xc000, 0x3ff3, 0xc000, 0x3fe7, 0xc000, 0x3fda, 0xc000,
0x3fce, 0xc000, 0x3fc1, 0xc000, 0x3fb5, 0xc000, 0x3fa8, 0xc000,
0x3f9b, 0xc000, 0x3f8f, 0xc000, 0x3f82, 0xc000, 0x3f76, 0xc001,
0x3f69, 0xc001, 0x3f5d, 0xc001, 0x3f50, 0xc001, 0x3f44, 0xc001,
0x3f37, 0xc001, 0x3f2a, 0xc001, 0x3f1e, 0xc002, 0x3f11, 0xc002,
0x3f05, 0xc002, 0x3ef8, 0xc002, 0x3eec, 0xc002, 0x3edf, 0xc003,
0x3ed2, 0xc003, 0x3ec6, 0xc003, 0x3eb9, 0xc003, 0x3ead, 0xc004,
0x3ea0, 0xc004, 0x3e94, 0xc004, 0x3e87, 0xc004, 0x3e7a, 0xc005,
0x3e6e, 0xc005, 0x3e61, 0xc005, 0x3e55, 0xc006, 0x3e48, 0xc006,
0x3e3c, 0xc006, 0x3e2f, 0xc007, 0x3e23, 0xc007, 0x3e16, 0xc007,
0x3e09, 0xc008, 0x3dfd, 0xc008, 0x3df0, 0xc009, 0x3de4, 0xc009,
0x3dd7, 0xc009, 0x3dcb, 0xc00a, 0x3dbe, 0xc00a, 0x3db2, 0xc00b,
0x3da5, 0xc00b, 0x3d98, 0xc00c, 0x3d8c, 0xc00c, 0x3d7f, 0xc00d,
0x3d73, 0xc00d, 0x3d66, 0xc00e, 0x3d5a, 0xc00e, 0x3d4d, 0xc00f,
0x3d40, 0xc00f, 0x3d34, 0xc010, 0x3d27, 0xc010, 0x3d1b, 0xc011,
0x3d0e, 0xc011, 0x3d02, 0xc012, 0x3cf5, 0xc013, 0x3ce9, 0xc013,
0x3cdc, 0xc014, 0x3cd0, 0xc014, 0x3cc3, 0xc015, 0x3cb6, 0xc016,
0x3caa, 0xc016, 0x3c9d, 0xc017, 0x3c91, 0xc018, 0x3c84, 0xc018,
0x3c78, 0xc019, 0x3c6b, 0xc01a, 0x3c5f, 0xc01a, 0x3c52, 0xc01b,
0x3c45, 0xc01c, 0x3c39, 0xc01d, 0x3c2c, 0xc01d, 0x3c20, 0xc01e,
0x3c13, 0xc01f, 0x3c07, 0xc020, 0x3bfa, 0xc020, 0x3bee, 0xc021,
0x3be1, 0xc022, 0x3bd5, 0xc023, 0x3bc8, 0xc024, 0x3bbc, 0xc024,
0x3baf, 0xc025, 0x3ba2, 0xc026, 0x3b96, 0xc027, 0x3b89, 0xc028,
0x3b7d, 0xc029, 0x3b70, 0xc02a, 0x3b64, 0xc02b, 0x3b57, 0xc02b,
0x3b4b, 0xc02c, 0x3b3e, 0xc02d, 0x3b32, 0xc02e, 0x3b25, 0xc02f,
0x3b19, 0xc030, 0x3b0c, 0xc031, 0x3b00, 0xc032, 0x3af3, 0xc033,
0x3ae6, 0xc034, 0x3ada, 0xc035, 0x3acd, 0xc036, 0x3ac1, 0xc037,
0x3ab4, 0xc038, 0x3aa8, 0xc039, 0x3a9b, 0xc03a, 0x3a8f, 0xc03b,
0x3a82, 0xc03c, 0x3a76, 0xc03d, 0x3a69, 0xc03f, 0x3a5d, 0xc040,
0x3a50, 0xc041, 0x3a44, 0xc042, 0x3a37, 0xc043, 0x3a2b, 0xc044,
0x3a1e, 0xc045, 0x3a12, 0xc047, 0x3a05, 0xc048, 0x39f9, 0xc049,
0x39ec, 0xc04a, 0x39e0, 0xc04b, 0x39d3, 0xc04c, 0x39c7, 0xc04e,
0x39ba, 0xc04f, 0x39ae, 0xc050, 0x39a1, 0xc051, 0x3995, 0xc053,
0x3988, 0xc054, 0x397c, 0xc055, 0x396f, 0xc056, 0x3963, 0xc058,
0x3956, 0xc059, 0x394a, 0xc05a, 0x393d, 0xc05c, 0x3931, 0xc05d,
0x3924, 0xc05e, 0x3918, 0xc060, 0x390b, 0xc061, 0x38ff, 0xc062,
0x38f2, 0xc064, 0x38e6, 0xc065, 0x38d9, 0xc067, 0x38cd, 0xc068,
0x38c0, 0xc069, 0x38b4, 0xc06b, 0x38a7, 0xc06c, 0x389b, 0xc06e,
0x388e, 0xc06f, 0x3882, 0xc071, 0x3875, 0xc072, 0x3869, 0xc074,
0x385c, 0xc075, 0x3850, 0xc077, 0x3843, 0xc078, 0x3837, 0xc07a,
0x382a, 0xc07b, 0x381e, 0xc07d, 0x3811, 0xc07e, 0x3805, 0xc080,
0x37f9, 0xc081, 0x37ec, 0xc083, 0x37e0, 0xc085, 0x37d3, 0xc086,
0x37c7, 0xc088, 0x37ba, 0xc089, 0x37ae, 0xc08b, 0x37a1, 0xc08d,
0x3795, 0xc08e, 0x3788, 0xc090, 0x377c, 0xc092, 0x376f, 0xc093,
0x3763, 0xc095, 0x3757, 0xc097, 0x374a, 0xc098, 0x373e, 0xc09a,
0x3731, 0xc09c, 0x3725, 0xc09e, 0x3718, 0xc09f, 0x370c, 0xc0a1,
0x36ff, 0xc0a3, 0x36f3, 0xc0a5, 0x36e7, 0xc0a6, 0x36da, 0xc0a8,
0x36ce, 0xc0aa, 0x36c1, 0xc0ac, 0x36b5, 0xc0ae, 0x36a8, 0xc0af,
0x369c, 0xc0b1, 0x3690, 0xc0b3, 0x3683, 0xc0b5, 0x3677, 0xc0b7,
0x366a, 0xc0b9, 0x365e, 0xc0bb, 0x3651, 0xc0bd, 0x3645, 0xc0be,
0x3639, 0xc0c0, 0x362c, 0xc0c2, 0x3620, 0xc0c4, 0x3613, 0xc0c6,
0x3607, 0xc0c8, 0x35fa, 0xc0ca, 0x35ee, 0xc0cc, 0x35e2, 0xc0ce,
0x35d5, 0xc0d0, 0x35c9, 0xc0d2, 0x35bc, 0xc0d4, 0x35b0, 0xc0d6,
0x35a4, 0xc0d8, 0x3597, 0xc0da, 0x358b, 0xc0dc, 0x357e, 0xc0de,
0x3572, 0xc0e0, 0x3566, 0xc0e2, 0x3559, 0xc0e4, 0x354d, 0xc0e7,
0x3540, 0xc0e9, 0x3534, 0xc0eb, 0x3528, 0xc0ed, 0x351b, 0xc0ef,
0x350f, 0xc0f1, 0x3503, 0xc0f3, 0x34f6, 0xc0f6, 0x34ea, 0xc0f8,
0x34dd, 0xc0fa, 0x34d1, 0xc0fc, 0x34c5, 0xc0fe, 0x34b8, 0xc100,
0x34ac, 0xc103, 0x34a0, 0xc105, 0x3493, 0xc107, 0x3487, 0xc109,
0x347b, 0xc10c, 0x346e, 0xc10e, 0x3462, 0xc110, 0x3455, 0xc113,
0x3449, 0xc115, 0x343d, 0xc117, 0x3430, 0xc119, 0x3424, 0xc11c,
0x3418, 0xc11e, 0x340b, 0xc120, 0x33ff, 0xc123, 0x33f3, 0xc125,
0x33e6, 0xc128, 0x33da, 0xc12a, 0x33ce, 0xc12c, 0x33c1, 0xc12f,
0x33b5, 0xc131, 0x33a9, 0xc134, 0x339c, 0xc136, 0x3390, 0xc138,
0x3384, 0xc13b, 0x3377, 0xc13d, 0x336b, 0xc140, 0x335f, 0xc142,
0x3352, 0xc145, 0x3346, 0xc147, 0x333a, 0xc14a, 0x332d, 0xc14c,
0x3321, 0xc14f, 0x3315, 0xc151, 0x3308, 0xc154, 0x32fc, 0xc156,
0x32f0, 0xc159, 0x32e4, 0xc15b, 0x32d7, 0xc15e, 0x32cb, 0xc161,
0x32bf, 0xc163, 0x32b2, 0xc166, 0x32a6, 0xc168, 0x329a, 0xc16b,
0x328e, 0xc16e, 0x3281, 0xc170, 0x3275, 0xc173, 0x3269, 0xc176,
0x325c, 0xc178, 0x3250, 0xc17b, 0x3244, 0xc17e, 0x3238, 0xc180,
0x322b, 0xc183, 0x321f, 0xc186, 0x3213, 0xc189, 0x3207, 0xc18b,
0x31fa, 0xc18e, 0x31ee, 0xc191, 0x31e2, 0xc194, 0x31d5, 0xc196,
0x31c9, 0xc199, 0x31bd, 0xc19c, 0x31b1, 0xc19f, 0x31a4, 0xc1a2,
0x3198, 0xc1a4, 0x318c, 0xc1a7, 0x3180, 0xc1aa, 0x3174, 0xc1ad,
0x3167, 0xc1b0, 0x315b, 0xc1b3, 0x314f, 0xc1b6, 0x3143, 0xc1b8,
0x3136, 0xc1bb, 0x312a, 0xc1be, 0x311e, 0xc1c1, 0x3112, 0xc1c4,
0x3105, 0xc1c7, 0x30f9, 0xc1ca, 0x30ed, 0xc1cd, 0x30e1, 0xc1d0,
0x30d5, 0xc1d3, 0x30c8, 0xc1d6, 0x30bc, 0xc1d9, 0x30b0, 0xc1dc,
0x30a4, 0xc1df, 0x3098, 0xc1e2, 0x308b, 0xc1e5, 0x307f, 0xc1e8,
0x3073, 0xc1eb, 0x3067, 0xc1ee, 0x305b, 0xc1f1, 0x304e, 0xc1f4,
0x3042, 0xc1f7, 0x3036, 0xc1fa, 0x302a, 0xc1fd, 0x301e, 0xc201,
0x3012, 0xc204, 0x3005, 0xc207, 0x2ff9, 0xc20a, 0x2fed, 0xc20d,
0x2fe1, 0xc210, 0x2fd5, 0xc213, 0x2fc9, 0xc217, 0x2fbc, 0xc21a,
0x2fb0, 0xc21d, 0x2fa4, 0xc220, 0x2f98, 0xc223, 0x2f8c, 0xc227,
0x2f80, 0xc22a, 0x2f74, 0xc22d, 0x2f67, 0xc230, 0x2f5b, 0xc234,
0x2f4f, 0xc237, 0x2f43, 0xc23a, 0x2f37, 0xc23e, 0x2f2b, 0xc241,
0x2f1f, 0xc244, 0x2f13, 0xc247, 0x2f06, 0xc24b, 0x2efa, 0xc24e,
0x2eee, 0xc251, 0x2ee2, 0xc255, 0x2ed6, 0xc258, 0x2eca, 0xc25c,
0x2ebe, 0xc25f, 0x2eb2, 0xc262, 0x2ea6, 0xc266, 0x2e99, 0xc269,
0x2e8d, 0xc26d, 0x2e81, 0xc270, 0x2e75, 0xc273, 0x2e69, 0xc277,
0x2e5d, 0xc27a, 0x2e51, 0xc27e, 0x2e45, 0xc281, 0x2e39, 0xc285,
0x2e2d, 0xc288, 0x2e21, 0xc28c, 0x2e15, 0xc28f, 0x2e09, 0xc293,
0x2dfc, 0xc296, 0x2df0, 0xc29a, 0x2de4, 0xc29d, 0x2dd8, 0xc2a1,
0x2dcc, 0xc2a5, 0x2dc0, 0xc2a8, 0x2db4, 0xc2ac, 0x2da8, 0xc2af,
0x2d9c, 0xc2b3, 0x2d90, 0xc2b7, 0x2d84, 0xc2ba, 0x2d78, 0xc2be,
0x2d6c, 0xc2c1, 0x2d60, 0xc2c5, 0x2d54, 0xc2c9, 0x2d48, 0xc2cc,
0x2d3c, 0xc2d0, 0x2d30, 0xc2d4, 0x2d24, 0xc2d8, 0x2d18, 0xc2db,
0x2d0c, 0xc2df, 0x2d00, 0xc2e3, 0x2cf4, 0xc2e6, 0x2ce8, 0xc2ea,
0x2cdc, 0xc2ee, 0x2cd0, 0xc2f2, 0x2cc4, 0xc2f5, 0x2cb8, 0xc2f9,
0x2cac, 0xc2fd, 0x2ca0, 0xc301, 0x2c94, 0xc305, 0x2c88, 0xc308,
0x2c7c, 0xc30c, 0x2c70, 0xc310, 0x2c64, 0xc314, 0x2c58, 0xc318,
0x2c4c, 0xc31c, 0x2c40, 0xc320, 0x2c34, 0xc323, 0x2c28, 0xc327,
0x2c1c, 0xc32b, 0x2c10, 0xc32f, 0x2c05, 0xc333, 0x2bf9, 0xc337,
0x2bed, 0xc33b, 0x2be1, 0xc33f, 0x2bd5, 0xc343, 0x2bc9, 0xc347,
0x2bbd, 0xc34b, 0x2bb1, 0xc34f, 0x2ba5, 0xc353, 0x2b99, 0xc357,
0x2b8d, 0xc35b, 0x2b81, 0xc35f, 0x2b75, 0xc363, 0x2b6a, 0xc367,
0x2b5e, 0xc36b, 0x2b52, 0xc36f, 0x2b46, 0xc373, 0x2b3a, 0xc377,
0x2b2e, 0xc37b, 0x2b22, 0xc37f, 0x2b16, 0xc383, 0x2b0a, 0xc387,
0x2aff, 0xc38c, 0x2af3, 0xc390, 0x2ae7, 0xc394, 0x2adb, 0xc398,
0x2acf, 0xc39c, 0x2ac3, 0xc3a0, 0x2ab7, 0xc3a5, 0x2aac, 0xc3a9,
0x2aa0, 0xc3ad, 0x2a94, 0xc3b1, 0x2a88, 0xc3b5, 0x2a7c, 0xc3ba,
0x2a70, 0xc3be, 0x2a65, 0xc3c2, 0x2a59, 0xc3c6, 0x2a4d, 0xc3ca,
0x2a41, 0xc3cf, 0x2a35, 0xc3d3, 0x2a29, 0xc3d7, 0x2a1e, 0xc3dc,
0x2a12, 0xc3e0, 0x2a06, 0xc3e4, 0x29fa, 0xc3e9, 0x29ee, 0xc3ed,
0x29e3, 0xc3f1, 0x29d7, 0xc3f6, 0x29cb, 0xc3fa, 0x29bf, 0xc3fe,
0x29b4, 0xc403, 0x29a8, 0xc407, 0x299c, 0xc40b, 0x2990, 0xc410,
0x2984, 0xc414, 0x2979, 0xc419, 0x296d, 0xc41d, 0x2961, 0xc422,
0x2955, 0xc426, 0x294a, 0xc42a, 0x293e, 0xc42f, 0x2932, 0xc433,
0x2926, 0xc438, 0x291b, 0xc43c, 0x290f, 0xc441, 0x2903, 0xc445,
0x28f7, 0xc44a, 0x28ec, 0xc44e, 0x28e0, 0xc453, 0x28d4, 0xc457,
0x28c9, 0xc45c, 0x28bd, 0xc461, 0x28b1, 0xc465, 0x28a5, 0xc46a,
0x289a, 0xc46e, 0x288e, 0xc473, 0x2882, 0xc478, 0x2877, 0xc47c,
0x286b, 0xc481, 0x285f, 0xc485, 0x2854, 0xc48a, 0x2848, 0xc48f,
0x283c, 0xc493, 0x2831, 0xc498, 0x2825, 0xc49d, 0x2819, 0xc4a1,
0x280e, 0xc4a6, 0x2802, 0xc4ab, 0x27f6, 0xc4b0, 0x27eb, 0xc4b4,
0x27df, 0xc4b9, 0x27d3, 0xc4be, 0x27c8, 0xc4c2, 0x27bc, 0xc4c7,
0x27b1, 0xc4cc, 0x27a5, 0xc4d1, 0x2799, 0xc4d6, 0x278e, 0xc4da,
0x2782, 0xc4df, 0x2777, 0xc4e4, 0x276b, 0xc4e9, 0x275f, 0xc4ee,
0x2754, 0xc4f2, 0x2748, 0xc4f7, 0x273d, 0xc4fc, 0x2731, 0xc501,
0x2725, 0xc506, 0x271a, 0xc50b, 0x270e, 0xc510, 0x2703, 0xc515,
0x26f7, 0xc51a, 0x26ec, 0xc51e, 0x26e0, 0xc523, 0x26d4, 0xc528,
0x26c9, 0xc52d, 0x26bd, 0xc532, 0x26b2, 0xc537, 0x26a6, 0xc53c,
0x269b, 0xc541, 0x268f, 0xc546, 0x2684, 0xc54b, 0x2678, 0xc550,
0x266d, 0xc555, 0x2661, 0xc55a, 0x2656, 0xc55f, 0x264a, 0xc564,
0x263f, 0xc569, 0x2633, 0xc56e, 0x2628, 0xc573, 0x261c, 0xc578,
0x2611, 0xc57e, 0x2605, 0xc583, 0x25fa, 0xc588, 0x25ee, 0xc58d,
0x25e3, 0xc592, 0x25d7, 0xc597, 0x25cc, 0xc59c, 0x25c0, 0xc5a1,
0x25b5, 0xc5a7, 0x25a9, 0xc5ac, 0x259e, 0xc5b1, 0x2592, 0xc5b6,
0x2587, 0xc5bb, 0x257c, 0xc5c1, 0x2570, 0xc5c6, 0x2565, 0xc5cb,
0x2559, 0xc5d0, 0x254e, 0xc5d5, 0x2542, 0xc5db, 0x2537, 0xc5e0,
0x252c, 0xc5e5, 0x2520, 0xc5ea, 0x2515, 0xc5f0, 0x2509, 0xc5f5,
0x24fe, 0xc5fa, 0x24f3, 0xc600, 0x24e7, 0xc605, 0x24dc, 0xc60a,
0x24d0, 0xc610, 0x24c5, 0xc615, 0x24ba, 0xc61a, 0x24ae, 0xc620,
0x24a3, 0xc625, 0x2498, 0xc62a, 0x248c, 0xc630, 0x2481, 0xc635,
0x2476, 0xc63b, 0x246a, 0xc640, 0x245f, 0xc645, 0x2454, 0xc64b,
0x2448, 0xc650, 0x243d, 0xc656, 0x2432, 0xc65b, 0x2426, 0xc661,
0x241b, 0xc666, 0x2410, 0xc66c, 0x2404, 0xc671, 0x23f9, 0xc677,
0x23ee, 0xc67c, 0x23e2, 0xc682, 0x23d7, 0xc687, 0x23cc, 0xc68d,
0x23c1, 0xc692, 0x23b5, 0xc698, 0x23aa, 0xc69d, 0x239f, 0xc6a3,
0x2394, 0xc6a8, 0x2388, 0xc6ae, 0x237d, 0xc6b4, 0x2372, 0xc6b9,
0x2367, 0xc6bf, 0x235b, 0xc6c5, 0x2350, 0xc6ca, 0x2345, 0xc6d0,
0x233a, 0xc6d5, 0x232e, 0xc6db, 0x2323, 0xc6e1, 0x2318, 0xc6e6,
0x230d, 0xc6ec, 0x2301, 0xc6f2, 0x22f6, 0xc6f7, 0x22eb, 0xc6fd,
0x22e0, 0xc703, 0x22d5, 0xc709, 0x22ca, 0xc70e, 0x22be, 0xc714,
0x22b3, 0xc71a, 0x22a8, 0xc720, 0x229d, 0xc725, 0x2292, 0xc72b,
0x2287, 0xc731, 0x227b, 0xc737, 0x2270, 0xc73d, 0x2265, 0xc742,
0x225a, 0xc748, 0x224f, 0xc74e, 0x2244, 0xc754, 0x2239, 0xc75a,
0x222d, 0xc75f, 0x2222, 0xc765, 0x2217, 0xc76b, 0x220c, 0xc771,
0x2201, 0xc777, 0x21f6, 0xc77d, 0x21eb, 0xc783, 0x21e0, 0xc789,
0x21d5, 0xc78f, 0x21ca, 0xc795, 0x21be, 0xc79a, 0x21b3, 0xc7a0,
0x21a8, 0xc7a6, 0x219d, 0xc7ac, 0x2192, 0xc7b2, 0x2187, 0xc7b8,
0x217c, 0xc7be, 0x2171, 0xc7c4, 0x2166, 0xc7ca, 0x215b, 0xc7d0,
0x2150, 0xc7d6, 0x2145, 0xc7dc, 0x213a, 0xc7e2, 0x212f, 0xc7e8,
0x2124, 0xc7ee, 0x2119, 0xc7f5, 0x210e, 0xc7fb, 0x2103, 0xc801,
0x20f8, 0xc807, 0x20ed, 0xc80d, 0x20e2, 0xc813, 0x20d7, 0xc819,
0x20cc, 0xc81f, 0x20c1, 0xc825, 0x20b6, 0xc82b, 0x20ab, 0xc832,
0x20a0, 0xc838, 0x2095, 0xc83e, 0x208a, 0xc844, 0x207f, 0xc84a,
0x2074, 0xc850, 0x2069, 0xc857, 0x205e, 0xc85d, 0x2054, 0xc863,
0x2049, 0xc869, 0x203e, 0xc870, 0x2033, 0xc876, 0x2028, 0xc87c,
0x201d, 0xc882, 0x2012, 0xc889, 0x2007, 0xc88f, 0x1ffc, 0xc895,
0x1ff1, 0xc89b, 0x1fe7, 0xc8a2, 0x1fdc, 0xc8a8, 0x1fd1, 0xc8ae,
0x1fc6, 0xc8b5, 0x1fbb, 0xc8bb, 0x1fb0, 0xc8c1, 0x1fa5, 0xc8c8,
0x1f9b, 0xc8ce, 0x1f90, 0xc8d4, 0x1f85, 0xc8db, 0x1f7a, 0xc8e1,
0x1f6f, 0xc8e8, 0x1f65, 0xc8ee, 0x1f5a, 0xc8f4, 0x1f4f, 0xc8fb,
0x1f44, 0xc901, 0x1f39, 0xc908, 0x1f2f, 0xc90e, 0x1f24, 0xc915,
0x1f19, 0xc91b, 0x1f0e, 0xc921, 0x1f03, 0xc928, 0x1ef9, 0xc92e,
0x1eee, 0xc935, 0x1ee3, 0xc93b, 0x1ed8, 0xc942, 0x1ece, 0xc948,
0x1ec3, 0xc94f, 0x1eb8, 0xc955, 0x1ead, 0xc95c, 0x1ea3, 0xc963,
0x1e98, 0xc969, 0x1e8d, 0xc970, 0x1e83, 0xc976, 0x1e78, 0xc97d,
0x1e6d, 0xc983, 0x1e62, 0xc98a, 0x1e58, 0xc991, 0x1e4d, 0xc997,
0x1e42, 0xc99e, 0x1e38, 0xc9a4, 0x1e2d, 0xc9ab, 0x1e22, 0xc9b2,
0x1e18, 0xc9b8, 0x1e0d, 0xc9bf, 0x1e02, 0xc9c6, 0x1df8, 0xc9cc,
0x1ded, 0xc9d3, 0x1de2, 0xc9da, 0x1dd8, 0xc9e0, 0x1dcd, 0xc9e7,
0x1dc3, 0xc9ee, 0x1db8, 0xc9f5, 0x1dad, 0xc9fb, 0x1da3, 0xca02,
0x1d98, 0xca09, 0x1d8e, 0xca10, 0x1d83, 0xca16, 0x1d78, 0xca1d,
0x1d6e, 0xca24, 0x1d63, 0xca2b, 0x1d59, 0xca32, 0x1d4e, 0xca38,
0x1d44, 0xca3f, 0x1d39, 0xca46, 0x1d2e, 0xca4d, 0x1d24, 0xca54,
0x1d19, 0xca5b, 0x1d0f, 0xca61, 0x1d04, 0xca68, 0x1cfa, 0xca6f,
0x1cef, 0xca76, 0x1ce5, 0xca7d, 0x1cda, 0xca84, 0x1cd0, 0xca8b,
0x1cc5, 0xca92, 0x1cbb, 0xca99, 0x1cb0, 0xca9f, 0x1ca6, 0xcaa6,
0x1c9b, 0xcaad, 0x1c91, 0xcab4, 0x1c86, 0xcabb, 0x1c7c, 0xcac2,
0x1c72, 0xcac9, 0x1c67, 0xcad0, 0x1c5d, 0xcad7, 0x1c52, 0xcade,
0x1c48, 0xcae5, 0x1c3d, 0xcaec, 0x1c33, 0xcaf3, 0x1c29, 0xcafa,
0x1c1e, 0xcb01, 0x1c14, 0xcb08, 0x1c09, 0xcb0f, 0x1bff, 0xcb16,
0x1bf5, 0xcb1e, 0x1bea, 0xcb25, 0x1be0, 0xcb2c, 0x1bd5, 0xcb33,
0x1bcb, 0xcb3a, 0x1bc1, 0xcb41, 0x1bb6, 0xcb48, 0x1bac, 0xcb4f,
0x1ba2, 0xcb56, 0x1b97, 0xcb5e, 0x1b8d, 0xcb65, 0x1b83, 0xcb6c,
0x1b78, 0xcb73, 0x1b6e, 0xcb7a, 0x1b64, 0xcb81, 0x1b59, 0xcb89,
0x1b4f, 0xcb90, 0x1b45, 0xcb97, 0x1b3b, 0xcb9e, 0x1b30, 0xcba5,
0x1b26, 0xcbad, 0x1b1c, 0xcbb4, 0x1b11, 0xcbbb, 0x1b07, 0xcbc2,
0x1afd, 0xcbca, 0x1af3, 0xcbd1, 0x1ae8, 0xcbd8, 0x1ade, 0xcbe0,
0x1ad4, 0xcbe7, 0x1aca, 0xcbee, 0x1abf, 0xcbf5, 0x1ab5, 0xcbfd,
0x1aab, 0xcc04, 0x1aa1, 0xcc0b, 0x1a97, 0xcc13, 0x1a8c, 0xcc1a,
0x1a82, 0xcc21, 0x1a78, 0xcc29, 0x1a6e, 0xcc30, 0x1a64, 0xcc38,
0x1a5a, 0xcc3f, 0x1a4f, 0xcc46, 0x1a45, 0xcc4e, 0x1a3b, 0xcc55,
0x1a31, 0xcc5d, 0x1a27, 0xcc64, 0x1a1d, 0xcc6b, 0x1a13, 0xcc73,
0x1a08, 0xcc7a, 0x19fe, 0xcc82, 0x19f4, 0xcc89, 0x19ea, 0xcc91,
0x19e0, 0xcc98, 0x19d6, 0xcca0, 0x19cc, 0xcca7, 0x19c2, 0xccaf,
0x19b8, 0xccb6, 0x19ae, 0xccbe, 0x19a4, 0xccc5, 0x199a, 0xcccd,
0x198f, 0xccd4, 0x1985, 0xccdc, 0x197b, 0xcce3, 0x1971, 0xcceb,
0x1967, 0xccf3, 0x195d, 0xccfa, 0x1953, 0xcd02, 0x1949, 0xcd09,
0x193f, 0xcd11, 0x1935, 0xcd19, 0x192b, 0xcd20, 0x1921, 0xcd28,
0x1917, 0xcd30, 0x190d, 0xcd37, 0x1903, 0xcd3f, 0x18f9, 0xcd46,
0x18ef, 0xcd4e, 0x18e6, 0xcd56, 0x18dc, 0xcd5d, 0x18d2, 0xcd65,
0x18c8, 0xcd6d, 0x18be, 0xcd75, 0x18b4, 0xcd7c, 0x18aa, 0xcd84,
0x18a0, 0xcd8c, 0x1896, 0xcd93, 0x188c, 0xcd9b, 0x1882, 0xcda3,
0x1878, 0xcdab, 0x186f, 0xcdb2, 0x1865, 0xcdba, 0x185b, 0xcdc2,
0x1851, 0xcdca, 0x1847, 0xcdd2, 0x183d, 0xcdd9, 0x1833, 0xcde1,
0x182a, 0xcde9, 0x1820, 0xcdf1, 0x1816, 0xcdf9, 0x180c, 0xce01,
0x1802, 0xce08, 0x17f8, 0xce10, 0x17ef, 0xce18, 0x17e5, 0xce20,
0x17db, 0xce28, 0x17d1, 0xce30, 0x17c8, 0xce38, 0x17be, 0xce40,
0x17b4, 0xce47, 0x17aa, 0xce4f, 0x17a0, 0xce57, 0x1797, 0xce5f,
0x178d, 0xce67, 0x1783, 0xce6f, 0x177a, 0xce77, 0x1770, 0xce7f,
0x1766, 0xce87, 0x175c, 0xce8f, 0x1753, 0xce97, 0x1749, 0xce9f,
0x173f, 0xcea7, 0x1736, 0xceaf, 0x172c, 0xceb7, 0x1722, 0xcebf,
0x1719, 0xcec7, 0x170f, 0xcecf, 0x1705, 0xced7, 0x16fc, 0xcedf,
0x16f2, 0xcee7, 0x16e8, 0xceef, 0x16df, 0xcef7, 0x16d5, 0xceff,
0x16cb, 0xcf07, 0x16c2, 0xcf10, 0x16b8, 0xcf18, 0x16af, 0xcf20,
0x16a5, 0xcf28, 0x169b, 0xcf30, 0x1692, 0xcf38, 0x1688, 0xcf40,
0x167f, 0xcf48, 0x1675, 0xcf51, 0x166c, 0xcf59, 0x1662, 0xcf61,
0x1659, 0xcf69, 0x164f, 0xcf71, 0x1645, 0xcf79, 0x163c, 0xcf82,
0x1632, 0xcf8a, 0x1629, 0xcf92, 0x161f, 0xcf9a, 0x1616, 0xcfa3,
0x160c, 0xcfab, 0x1603, 0xcfb3, 0x15f9, 0xcfbb, 0x15f0, 0xcfc4,
0x15e6, 0xcfcc, 0x15dd, 0xcfd4, 0x15d4, 0xcfdc, 0x15ca, 0xcfe5,
0x15c1, 0xcfed, 0x15b7, 0xcff5, 0x15ae, 0xcffe, 0x15a4, 0xd006,
0x159b, 0xd00e, 0x1592, 0xd016, 0x1588, 0xd01f, 0x157f, 0xd027,
0x1575, 0xd030, 0x156c, 0xd038, 0x1563, 0xd040, 0x1559, 0xd049,
0x1550, 0xd051, 0x1547, 0xd059, 0x153d, 0xd062, 0x1534, 0xd06a,
0x152a, 0xd073, 0x1521, 0xd07b, 0x1518, 0xd083, 0x150e, 0xd08c,
0x1505, 0xd094, 0x14fc, 0xd09d, 0x14f3, 0xd0a5, 0x14e9, 0xd0ae,
0x14e0, 0xd0b6, 0x14d7, 0xd0bf, 0x14cd, 0xd0c7, 0x14c4, 0xd0d0,
0x14bb, 0xd0d8, 0x14b2, 0xd0e0, 0x14a8, 0xd0e9, 0x149f, 0xd0f2,
0x1496, 0xd0fa, 0x148d, 0xd103, 0x1483, 0xd10b, 0x147a, 0xd114,
0x1471, 0xd11c, 0x1468, 0xd125, 0x145f, 0xd12d, 0x1455, 0xd136,
0x144c, 0xd13e, 0x1443, 0xd147, 0x143a, 0xd150, 0x1431, 0xd158,
0x1428, 0xd161, 0x141e, 0xd169, 0x1415, 0xd172, 0x140c, 0xd17b,
0x1403, 0xd183, 0x13fa, 0xd18c, 0x13f1, 0xd195, 0x13e8, 0xd19d,
0x13df, 0xd1a6, 0x13d5, 0xd1af, 0x13cc, 0xd1b7, 0x13c3, 0xd1c0,
0x13ba, 0xd1c9, 0x13b1, 0xd1d1, 0x13a8, 0xd1da, 0x139f, 0xd1e3,
0x1396, 0xd1eb, 0x138d, 0xd1f4, 0x1384, 0xd1fd, 0x137b, 0xd206,
0x1372, 0xd20e, 0x1369, 0xd217, 0x1360, 0xd220, 0x1357, 0xd229,
0x134e, 0xd231, 0x1345, 0xd23a, 0x133c, 0xd243, 0x1333, 0xd24c,
0x132a, 0xd255, 0x1321, 0xd25d, 0x1318, 0xd266, 0x130f, 0xd26f,
0x1306, 0xd278, 0x12fd, 0xd281, 0x12f4, 0xd28a, 0x12eb, 0xd292,
0x12e2, 0xd29b, 0x12d9, 0xd2a4, 0x12d1, 0xd2ad, 0x12c8, 0xd2b6,
0x12bf, 0xd2bf, 0x12b6, 0xd2c8, 0x12ad, 0xd2d1, 0x12a4, 0xd2d9,
0x129b, 0xd2e2, 0x1292, 0xd2eb, 0x128a, 0xd2f4, 0x1281, 0xd2fd,
0x1278, 0xd306, 0x126f, 0xd30f, 0x1266, 0xd318, 0x125d, 0xd321,
0x1255, 0xd32a, 0x124c, 0xd333, 0x1243, 0xd33c, 0x123a, 0xd345,
0x1231, 0xd34e, 0x1229, 0xd357, 0x1220, 0xd360, 0x1217, 0xd369,
0x120e, 0xd372, 0x1206, 0xd37b, 0x11fd, 0xd384, 0x11f4, 0xd38d,
0x11eb, 0xd396, 0x11e3, 0xd39f, 0x11da, 0xd3a8, 0x11d1, 0xd3b1,
0x11c9, 0xd3ba, 0x11c0, 0xd3c3, 0x11b7, 0xd3cc, 0x11af, 0xd3d5,
0x11a6, 0xd3df, 0x119d, 0xd3e8, 0x1195, 0xd3f1, 0x118c, 0xd3fa,
0x1183, 0xd403, 0x117b, 0xd40c, 0x1172, 0xd415, 0x1169, 0xd41e,
0x1161, 0xd428, 0x1158, 0xd431, 0x1150, 0xd43a, 0x1147, 0xd443,
0x113e, 0xd44c, 0x1136, 0xd455, 0x112d, 0xd45f, 0x1125, 0xd468,
0x111c, 0xd471, 0x1114, 0xd47a, 0x110b, 0xd483, 0x1103, 0xd48d,
0x10fa, 0xd496, 0x10f2, 0xd49f, 0x10e9, 0xd4a8, 0x10e0, 0xd4b2,
0x10d8, 0xd4bb, 0x10d0, 0xd4c4, 0x10c7, 0xd4cd, 0x10bf, 0xd4d7,
0x10b6, 0xd4e0, 0x10ae, 0xd4e9, 0x10a5, 0xd4f3, 0x109d, 0xd4fc,
0x1094, 0xd505, 0x108c, 0xd50e, 0x1083, 0xd518, 0x107b, 0xd521,
0x1073, 0xd52a, 0x106a, 0xd534, 0x1062, 0xd53d, 0x1059, 0xd547,
0x1051, 0xd550, 0x1049, 0xd559, 0x1040, 0xd563, 0x1038, 0xd56c,
0x1030, 0xd575, 0x1027, 0xd57f, 0x101f, 0xd588, 0x1016, 0xd592,
0x100e, 0xd59b, 0x1006, 0xd5a4, 0xffe, 0xd5ae, 0xff5, 0xd5b7,
0xfed, 0xd5c1, 0xfe5, 0xd5ca, 0xfdc, 0xd5d4, 0xfd4, 0xd5dd,
0xfcc, 0xd5e6, 0xfc4, 0xd5f0, 0xfbb, 0xd5f9, 0xfb3, 0xd603,
0xfab, 0xd60c, 0xfa3, 0xd616, 0xf9a, 0xd61f, 0xf92, 0xd629,
0xf8a, 0xd632, 0xf82, 0xd63c, 0xf79, 0xd645, 0xf71, 0xd64f,
0xf69, 0xd659, 0xf61, 0xd662, 0xf59, 0xd66c, 0xf51, 0xd675,
0xf48, 0xd67f, 0xf40, 0xd688, 0xf38, 0xd692, 0xf30, 0xd69b,
0xf28, 0xd6a5, 0xf20, 0xd6af, 0xf18, 0xd6b8, 0xf10, 0xd6c2,
0xf07, 0xd6cb, 0xeff, 0xd6d5, 0xef7, 0xd6df, 0xeef, 0xd6e8,
0xee7, 0xd6f2, 0xedf, 0xd6fc, 0xed7, 0xd705, 0xecf, 0xd70f,
0xec7, 0xd719, 0xebf, 0xd722, 0xeb7, 0xd72c, 0xeaf, 0xd736,
0xea7, 0xd73f, 0xe9f, 0xd749, 0xe97, 0xd753, 0xe8f, 0xd75c,
0xe87, 0xd766, 0xe7f, 0xd770, 0xe77, 0xd77a, 0xe6f, 0xd783,
0xe67, 0xd78d, 0xe5f, 0xd797, 0xe57, 0xd7a0, 0xe4f, 0xd7aa,
0xe47, 0xd7b4, 0xe40, 0xd7be, 0xe38, 0xd7c8, 0xe30, 0xd7d1,
0xe28, 0xd7db, 0xe20, 0xd7e5, 0xe18, 0xd7ef, 0xe10, 0xd7f8,
0xe08, 0xd802, 0xe01, 0xd80c, 0xdf9, 0xd816, 0xdf1, 0xd820,
0xde9, 0xd82a, 0xde1, 0xd833, 0xdd9, 0xd83d, 0xdd2, 0xd847,
0xdca, 0xd851, 0xdc2, 0xd85b, 0xdba, 0xd865, 0xdb2, 0xd86f,
0xdab, 0xd878, 0xda3, 0xd882, 0xd9b, 0xd88c, 0xd93, 0xd896,
0xd8c, 0xd8a0, 0xd84, 0xd8aa, 0xd7c, 0xd8b4, 0xd75, 0xd8be,
0xd6d, 0xd8c8, 0xd65, 0xd8d2, 0xd5d, 0xd8dc, 0xd56, 0xd8e6,
0xd4e, 0xd8ef, 0xd46, 0xd8f9, 0xd3f, 0xd903, 0xd37, 0xd90d,
0xd30, 0xd917, 0xd28, 0xd921, 0xd20, 0xd92b, 0xd19, 0xd935,
0xd11, 0xd93f, 0xd09, 0xd949, 0xd02, 0xd953, 0xcfa, 0xd95d,
0xcf3, 0xd967, 0xceb, 0xd971, 0xce3, 0xd97b, 0xcdc, 0xd985,
0xcd4, 0xd98f, 0xccd, 0xd99a, 0xcc5, 0xd9a4, 0xcbe, 0xd9ae,
0xcb6, 0xd9b8, 0xcaf, 0xd9c2, 0xca7, 0xd9cc, 0xca0, 0xd9d6,
0xc98, 0xd9e0, 0xc91, 0xd9ea, 0xc89, 0xd9f4, 0xc82, 0xd9fe,
0xc7a, 0xda08, 0xc73, 0xda13, 0xc6b, 0xda1d, 0xc64, 0xda27,
0xc5d, 0xda31, 0xc55, 0xda3b, 0xc4e, 0xda45, 0xc46, 0xda4f,
0xc3f, 0xda5a, 0xc38, 0xda64, 0xc30, 0xda6e, 0xc29, 0xda78,
0xc21, 0xda82, 0xc1a, 0xda8c, 0xc13, 0xda97, 0xc0b, 0xdaa1,
0xc04, 0xdaab, 0xbfd, 0xdab5, 0xbf5, 0xdabf, 0xbee, 0xdaca,
0xbe7, 0xdad4, 0xbe0, 0xdade, 0xbd8, 0xdae8, 0xbd1, 0xdaf3,
0xbca, 0xdafd, 0xbc2, 0xdb07, 0xbbb, 0xdb11, 0xbb4, 0xdb1c,
0xbad, 0xdb26, 0xba5, 0xdb30, 0xb9e, 0xdb3b, 0xb97, 0xdb45,
0xb90, 0xdb4f, 0xb89, 0xdb59, 0xb81, 0xdb64, 0xb7a, 0xdb6e,
0xb73, 0xdb78, 0xb6c, 0xdb83, 0xb65, 0xdb8d, 0xb5e, 0xdb97,
0xb56, 0xdba2, 0xb4f, 0xdbac, 0xb48, 0xdbb6, 0xb41, 0xdbc1,
0xb3a, 0xdbcb, 0xb33, 0xdbd5, 0xb2c, 0xdbe0, 0xb25, 0xdbea,
0xb1e, 0xdbf5, 0xb16, 0xdbff, 0xb0f, 0xdc09, 0xb08, 0xdc14,
0xb01, 0xdc1e, 0xafa, 0xdc29, 0xaf3, 0xdc33, 0xaec, 0xdc3d,
0xae5, 0xdc48, 0xade, 0xdc52, 0xad7, 0xdc5d, 0xad0, 0xdc67,
0xac9, 0xdc72, 0xac2, 0xdc7c, 0xabb, 0xdc86, 0xab4, 0xdc91,
0xaad, 0xdc9b, 0xaa6, 0xdca6, 0xa9f, 0xdcb0, 0xa99, 0xdcbb,
0xa92, 0xdcc5, 0xa8b, 0xdcd0, 0xa84, 0xdcda, 0xa7d, 0xdce5,
0xa76, 0xdcef, 0xa6f, 0xdcfa, 0xa68, 0xdd04, 0xa61, 0xdd0f,
0xa5b, 0xdd19, 0xa54, 0xdd24, 0xa4d, 0xdd2e, 0xa46, 0xdd39,
0xa3f, 0xdd44, 0xa38, 0xdd4e, 0xa32, 0xdd59, 0xa2b, 0xdd63,
0xa24, 0xdd6e, 0xa1d, 0xdd78, 0xa16, 0xdd83, 0xa10, 0xdd8e,
0xa09, 0xdd98, 0xa02, 0xdda3, 0x9fb, 0xddad, 0x9f5, 0xddb8,
0x9ee, 0xddc3, 0x9e7, 0xddcd, 0x9e0, 0xddd8, 0x9da, 0xdde2,
0x9d3, 0xdded, 0x9cc, 0xddf8, 0x9c6, 0xde02, 0x9bf, 0xde0d,
0x9b8, 0xde18, 0x9b2, 0xde22, 0x9ab, 0xde2d, 0x9a4, 0xde38,
0x99e, 0xde42, 0x997, 0xde4d, 0x991, 0xde58, 0x98a, 0xde62,
0x983, 0xde6d, 0x97d, 0xde78, 0x976, 0xde83, 0x970, 0xde8d,
0x969, 0xde98, 0x963, 0xdea3, 0x95c, 0xdead, 0x955, 0xdeb8,
0x94f, 0xdec3, 0x948, 0xdece, 0x942, 0xded8, 0x93b, 0xdee3,
0x935, 0xdeee, 0x92e, 0xdef9, 0x928, 0xdf03, 0x921, 0xdf0e,
0x91b, 0xdf19, 0x915, 0xdf24, 0x90e, 0xdf2f, 0x908, 0xdf39,
0x901, 0xdf44, 0x8fb, 0xdf4f, 0x8f4, 0xdf5a, 0x8ee, 0xdf65,
0x8e8, 0xdf6f, 0x8e1, 0xdf7a, 0x8db, 0xdf85, 0x8d4, 0xdf90,
0x8ce, 0xdf9b, 0x8c8, 0xdfa5, 0x8c1, 0xdfb0, 0x8bb, 0xdfbb,
0x8b5, 0xdfc6, 0x8ae, 0xdfd1, 0x8a8, 0xdfdc, 0x8a2, 0xdfe7,
0x89b, 0xdff1, 0x895, 0xdffc, 0x88f, 0xe007, 0x889, 0xe012,
0x882, 0xe01d, 0x87c, 0xe028, 0x876, 0xe033, 0x870, 0xe03e,
0x869, 0xe049, 0x863, 0xe054, 0x85d, 0xe05e, 0x857, 0xe069,
0x850, 0xe074, 0x84a, 0xe07f, 0x844, 0xe08a, 0x83e, 0xe095,
0x838, 0xe0a0, 0x832, 0xe0ab, 0x82b, 0xe0b6, 0x825, 0xe0c1,
0x81f, 0xe0cc, 0x819, 0xe0d7, 0x813, 0xe0e2, 0x80d, 0xe0ed,
0x807, 0xe0f8, 0x801, 0xe103, 0x7fb, 0xe10e, 0x7f5, 0xe119,
0x7ee, 0xe124, 0x7e8, 0xe12f, 0x7e2, 0xe13a, 0x7dc, 0xe145,
0x7d6, 0xe150, 0x7d0, 0xe15b, 0x7ca, 0xe166, 0x7c4, 0xe171,
0x7be, 0xe17c, 0x7b8, 0xe187, 0x7b2, 0xe192, 0x7ac, 0xe19d,
0x7a6, 0xe1a8, 0x7a0, 0xe1b3, 0x79a, 0xe1be, 0x795, 0xe1ca,
0x78f, 0xe1d5, 0x789, 0xe1e0, 0x783, 0xe1eb, 0x77d, 0xe1f6,
0x777, 0xe201, 0x771, 0xe20c, 0x76b, 0xe217, 0x765, 0xe222,
0x75f, 0xe22d, 0x75a, 0xe239, 0x754, 0xe244, 0x74e, 0xe24f,
0x748, 0xe25a, 0x742, 0xe265, 0x73d, 0xe270, 0x737, 0xe27b,
0x731, 0xe287, 0x72b, 0xe292, 0x725, 0xe29d, 0x720, 0xe2a8,
0x71a, 0xe2b3, 0x714, 0xe2be, 0x70e, 0xe2ca, 0x709, 0xe2d5,
0x703, 0xe2e0, 0x6fd, 0xe2eb, 0x6f7, 0xe2f6, 0x6f2, 0xe301,
0x6ec, 0xe30d, 0x6e6, 0xe318, 0x6e1, 0xe323, 0x6db, 0xe32e,
0x6d5, 0xe33a, 0x6d0, 0xe345, 0x6ca, 0xe350, 0x6c5, 0xe35b,
0x6bf, 0xe367, 0x6b9, 0xe372, 0x6b4, 0xe37d, 0x6ae, 0xe388,
0x6a8, 0xe394, 0x6a3, 0xe39f, 0x69d, 0xe3aa, 0x698, 0xe3b5,
0x692, 0xe3c1, 0x68d, 0xe3cc, 0x687, 0xe3d7, 0x682, 0xe3e2,
0x67c, 0xe3ee, 0x677, 0xe3f9, 0x671, 0xe404, 0x66c, 0xe410,
0x666, 0xe41b, 0x661, 0xe426, 0x65b, 0xe432, 0x656, 0xe43d,
0x650, 0xe448, 0x64b, 0xe454, 0x645, 0xe45f, 0x640, 0xe46a,
0x63b, 0xe476, 0x635, 0xe481, 0x630, 0xe48c, 0x62a, 0xe498,
0x625, 0xe4a3, 0x620, 0xe4ae, 0x61a, 0xe4ba, 0x615, 0xe4c5,
0x610, 0xe4d0, 0x60a, 0xe4dc, 0x605, 0xe4e7, 0x600, 0xe4f3,
0x5fa, 0xe4fe, 0x5f5, 0xe509, 0x5f0, 0xe515, 0x5ea, 0xe520,
0x5e5, 0xe52c, 0x5e0, 0xe537, 0x5db, 0xe542, 0x5d5, 0xe54e,
0x5d0, 0xe559, 0x5cb, 0xe565, 0x5c6, 0xe570, 0x5c1, 0xe57c,
0x5bb, 0xe587, 0x5b6, 0xe592, 0x5b1, 0xe59e, 0x5ac, 0xe5a9,
0x5a7, 0xe5b5, 0x5a1, 0xe5c0, 0x59c, 0xe5cc, 0x597, 0xe5d7,
0x592, 0xe5e3, 0x58d, 0xe5ee, 0x588, 0xe5fa, 0x583, 0xe605,
0x57e, 0xe611, 0x578, 0xe61c, 0x573, 0xe628, 0x56e, 0xe633,
0x569, 0xe63f, 0x564, 0xe64a, 0x55f, 0xe656, 0x55a, 0xe661,
0x555, 0xe66d, 0x550, 0xe678, 0x54b, 0xe684, 0x546, 0xe68f,
0x541, 0xe69b, 0x53c, 0xe6a6, 0x537, 0xe6b2, 0x532, 0xe6bd,
0x52d, 0xe6c9, 0x528, 0xe6d4, 0x523, 0xe6e0, 0x51e, 0xe6ec,
0x51a, 0xe6f7, 0x515, 0xe703, 0x510, 0xe70e, 0x50b, 0xe71a,
0x506, 0xe725, 0x501, 0xe731, 0x4fc, 0xe73d, 0x4f7, 0xe748,
0x4f2, 0xe754, 0x4ee, 0xe75f, 0x4e9, 0xe76b, 0x4e4, 0xe777,
0x4df, 0xe782, 0x4da, 0xe78e, 0x4d6, 0xe799, 0x4d1, 0xe7a5,
0x4cc, 0xe7b1, 0x4c7, 0xe7bc, 0x4c2, 0xe7c8, 0x4be, 0xe7d3,
0x4b9, 0xe7df, 0x4b4, 0xe7eb, 0x4b0, 0xe7f6, 0x4ab, 0xe802,
0x4a6, 0xe80e, 0x4a1, 0xe819, 0x49d, 0xe825, 0x498, 0xe831,
0x493, 0xe83c, 0x48f, 0xe848, 0x48a, 0xe854, 0x485, 0xe85f,
0x481, 0xe86b, 0x47c, 0xe877, 0x478, 0xe882, 0x473, 0xe88e,
0x46e, 0xe89a, 0x46a, 0xe8a5, 0x465, 0xe8b1, 0x461, 0xe8bd,
0x45c, 0xe8c9, 0x457, 0xe8d4, 0x453, 0xe8e0, 0x44e, 0xe8ec,
0x44a, 0xe8f7, 0x445, 0xe903, 0x441, 0xe90f, 0x43c, 0xe91b,
0x438, 0xe926, 0x433, 0xe932, 0x42f, 0xe93e, 0x42a, 0xe94a,
0x426, 0xe955, 0x422, 0xe961, 0x41d, 0xe96d, 0x419, 0xe979,
0x414, 0xe984, 0x410, 0xe990, 0x40b, 0xe99c, 0x407, 0xe9a8,
0x403, 0xe9b4, 0x3fe, 0xe9bf, 0x3fa, 0xe9cb, 0x3f6, 0xe9d7,
0x3f1, 0xe9e3, 0x3ed, 0xe9ee, 0x3e9, 0xe9fa, 0x3e4, 0xea06,
0x3e0, 0xea12, 0x3dc, 0xea1e, 0x3d7, 0xea29, 0x3d3, 0xea35,
0x3cf, 0xea41, 0x3ca, 0xea4d, 0x3c6, 0xea59, 0x3c2, 0xea65,
0x3be, 0xea70, 0x3ba, 0xea7c, 0x3b5, 0xea88, 0x3b1, 0xea94,
0x3ad, 0xeaa0, 0x3a9, 0xeaac, 0x3a5, 0xeab7, 0x3a0, 0xeac3,
0x39c, 0xeacf, 0x398, 0xeadb, 0x394, 0xeae7, 0x390, 0xeaf3,
0x38c, 0xeaff, 0x387, 0xeb0a, 0x383, 0xeb16, 0x37f, 0xeb22,
0x37b, 0xeb2e, 0x377, 0xeb3a, 0x373, 0xeb46, 0x36f, 0xeb52,
0x36b, 0xeb5e, 0x367, 0xeb6a, 0x363, 0xeb75, 0x35f, 0xeb81,
0x35b, 0xeb8d, 0x357, 0xeb99, 0x353, 0xeba5, 0x34f, 0xebb1,
0x34b, 0xebbd, 0x347, 0xebc9, 0x343, 0xebd5, 0x33f, 0xebe1,
0x33b, 0xebed, 0x337, 0xebf9, 0x333, 0xec05, 0x32f, 0xec10,
0x32b, 0xec1c, 0x327, 0xec28, 0x323, 0xec34, 0x320, 0xec40,
0x31c, 0xec4c, 0x318, 0xec58, 0x314, 0xec64, 0x310, 0xec70,
0x30c, 0xec7c, 0x308, 0xec88, 0x305, 0xec94, 0x301, 0xeca0,
0x2fd, 0xecac, 0x2f9, 0xecb8, 0x2f5, 0xecc4, 0x2f2, 0xecd0,
0x2ee, 0xecdc, 0x2ea, 0xece8, 0x2e6, 0xecf4, 0x2e3, 0xed00,
0x2df, 0xed0c, 0x2db, 0xed18, 0x2d8, 0xed24, 0x2d4, 0xed30,
0x2d0, 0xed3c, 0x2cc, 0xed48, 0x2c9, 0xed54, 0x2c5, 0xed60,
0x2c1, 0xed6c, 0x2be, 0xed78, 0x2ba, 0xed84, 0x2b7, 0xed90,
0x2b3, 0xed9c, 0x2af, 0xeda8, 0x2ac, 0xedb4, 0x2a8, 0xedc0,
0x2a5, 0xedcc, 0x2a1, 0xedd8, 0x29d, 0xede4, 0x29a, 0xedf0,
0x296, 0xedfc, 0x293, 0xee09, 0x28f, 0xee15, 0x28c, 0xee21,
0x288, 0xee2d, 0x285, 0xee39, 0x281, 0xee45, 0x27e, 0xee51,
0x27a, 0xee5d, 0x277, 0xee69, 0x273, 0xee75, 0x270, 0xee81,
0x26d, 0xee8d, 0x269, 0xee99, 0x266, 0xeea6, 0x262, 0xeeb2,
0x25f, 0xeebe, 0x25c, 0xeeca, 0x258, 0xeed6, 0x255, 0xeee2,
0x251, 0xeeee, 0x24e, 0xeefa, 0x24b, 0xef06, 0x247, 0xef13,
0x244, 0xef1f, 0x241, 0xef2b, 0x23e, 0xef37, 0x23a, 0xef43,
0x237, 0xef4f, 0x234, 0xef5b, 0x230, 0xef67, 0x22d, 0xef74,
0x22a, 0xef80, 0x227, 0xef8c, 0x223, 0xef98, 0x220, 0xefa4,
0x21d, 0xefb0, 0x21a, 0xefbc, 0x217, 0xefc9, 0x213, 0xefd5,
0x210, 0xefe1, 0x20d, 0xefed, 0x20a, 0xeff9, 0x207, 0xf005,
0x204, 0xf012, 0x201, 0xf01e, 0x1fd, 0xf02a, 0x1fa, 0xf036,
0x1f7, 0xf042, 0x1f4, 0xf04e, 0x1f1, 0xf05b, 0x1ee, 0xf067,
0x1eb, 0xf073, 0x1e8, 0xf07f, 0x1e5, 0xf08b, 0x1e2, 0xf098,
0x1df, 0xf0a4, 0x1dc, 0xf0b0, 0x1d9, 0xf0bc, 0x1d6, 0xf0c8,
0x1d3, 0xf0d5, 0x1d0, 0xf0e1, 0x1cd, 0xf0ed, 0x1ca, 0xf0f9,
0x1c7, 0xf105, 0x1c4, 0xf112, 0x1c1, 0xf11e, 0x1be, 0xf12a,
0x1bb, 0xf136, 0x1b8, 0xf143, 0x1b6, 0xf14f, 0x1b3, 0xf15b,
0x1b0, 0xf167, 0x1ad, 0xf174, 0x1aa, 0xf180, 0x1a7, 0xf18c,
0x1a4, 0xf198, 0x1a2, 0xf1a4, 0x19f, 0xf1b1, 0x19c, 0xf1bd,
0x199, 0xf1c9, 0x196, 0xf1d5, 0x194, 0xf1e2, 0x191, 0xf1ee,
0x18e, 0xf1fa, 0x18b, 0xf207, 0x189, 0xf213, 0x186, 0xf21f,
0x183, 0xf22b, 0x180, 0xf238, 0x17e, 0xf244, 0x17b, 0xf250,
0x178, 0xf25c, 0x176, 0xf269, 0x173, 0xf275, 0x170, 0xf281,
0x16e, 0xf28e, 0x16b, 0xf29a, 0x168, 0xf2a6, 0x166, 0xf2b2,
0x163, 0xf2bf, 0x161, 0xf2cb, 0x15e, 0xf2d7, 0x15b, 0xf2e4,
0x159, 0xf2f0, 0x156, 0xf2fc, 0x154, 0xf308, 0x151, 0xf315,
0x14f, 0xf321, 0x14c, 0xf32d, 0x14a, 0xf33a, 0x147, 0xf346,
0x145, 0xf352, 0x142, 0xf35f, 0x140, 0xf36b, 0x13d, 0xf377,
0x13b, 0xf384, 0x138, 0xf390, 0x136, 0xf39c, 0x134, 0xf3a9,
0x131, 0xf3b5, 0x12f, 0xf3c1, 0x12c, 0xf3ce, 0x12a, 0xf3da,
0x128, 0xf3e6, 0x125, 0xf3f3, 0x123, 0xf3ff, 0x120, 0xf40b,
0x11e, 0xf418, 0x11c, 0xf424, 0x119, 0xf430, 0x117, 0xf43d,
0x115, 0xf449, 0x113, 0xf455, 0x110, 0xf462, 0x10e, 0xf46e,
0x10c, 0xf47b, 0x109, 0xf487, 0x107, 0xf493, 0x105, 0xf4a0,
0x103, 0xf4ac, 0x100, 0xf4b8, 0xfe, 0xf4c5, 0xfc, 0xf4d1,
0xfa, 0xf4dd, 0xf8, 0xf4ea, 0xf6, 0xf4f6, 0xf3, 0xf503,
0xf1, 0xf50f, 0xef, 0xf51b, 0xed, 0xf528, 0xeb, 0xf534,
0xe9, 0xf540, 0xe7, 0xf54d, 0xe4, 0xf559, 0xe2, 0xf566,
0xe0, 0xf572, 0xde, 0xf57e, 0xdc, 0xf58b, 0xda, 0xf597,
0xd8, 0xf5a4, 0xd6, 0xf5b0, 0xd4, 0xf5bc, 0xd2, 0xf5c9,
0xd0, 0xf5d5, 0xce, 0xf5e2, 0xcc, 0xf5ee, 0xca, 0xf5fa,
0xc8, 0xf607, 0xc6, 0xf613, 0xc4, 0xf620, 0xc2, 0xf62c,
0xc0, 0xf639, 0xbe, 0xf645, 0xbd, 0xf651, 0xbb, 0xf65e,
0xb9, 0xf66a, 0xb7, 0xf677, 0xb5, 0xf683, 0xb3, 0xf690,
0xb1, 0xf69c, 0xaf, 0xf6a8, 0xae, 0xf6b5, 0xac, 0xf6c1,
0xaa, 0xf6ce, 0xa8, 0xf6da, 0xa6, 0xf6e7, 0xa5, 0xf6f3,
0xa3, 0xf6ff, 0xa1, 0xf70c, 0x9f, 0xf718, 0x9e, 0xf725,
0x9c, 0xf731, 0x9a, 0xf73e, 0x98, 0xf74a, 0x97, 0xf757,
0x95, 0xf763, 0x93, 0xf76f, 0x92, 0xf77c, 0x90, 0xf788,
0x8e, 0xf795, 0x8d, 0xf7a1, 0x8b, 0xf7ae, 0x89, 0xf7ba,
0x88, 0xf7c7, 0x86, 0xf7d3, 0x85, 0xf7e0, 0x83, 0xf7ec,
0x81, 0xf7f9, 0x80, 0xf805, 0x7e, 0xf811, 0x7d, 0xf81e,
0x7b, 0xf82a, 0x7a, 0xf837, 0x78, 0xf843, 0x77, 0xf850,
0x75, 0xf85c, 0x74, 0xf869, 0x72, 0xf875, 0x71, 0xf882,
0x6f, 0xf88e, 0x6e, 0xf89b, 0x6c, 0xf8a7, 0x6b, 0xf8b4,
0x69, 0xf8c0, 0x68, 0xf8cd, 0x67, 0xf8d9, 0x65, 0xf8e6,
0x64, 0xf8f2, 0x62, 0xf8ff, 0x61, 0xf90b, 0x60, 0xf918,
0x5e, 0xf924, 0x5d, 0xf931, 0x5c, 0xf93d, 0x5a, 0xf94a,
0x59, 0xf956, 0x58, 0xf963, 0x56, 0xf96f, 0x55, 0xf97c,
0x54, 0xf988, 0x53, 0xf995, 0x51, 0xf9a1, 0x50, 0xf9ae,
0x4f, 0xf9ba, 0x4e, 0xf9c7, 0x4c, 0xf9d3, 0x4b, 0xf9e0,
0x4a, 0xf9ec, 0x49, 0xf9f9, 0x48, 0xfa05, 0x47, 0xfa12,
0x45, 0xfa1e, 0x44, 0xfa2b, 0x43, 0xfa37, 0x42, 0xfa44,
0x41, 0xfa50, 0x40, 0xfa5d, 0x3f, 0xfa69, 0x3d, 0xfa76,
0x3c, 0xfa82, 0x3b, 0xfa8f, 0x3a, 0xfa9b, 0x39, 0xfaa8,
0x38, 0xfab4, 0x37, 0xfac1, 0x36, 0xfacd, 0x35, 0xfada,
0x34, 0xfae6, 0x33, 0xfaf3, 0x32, 0xfb00, 0x31, 0xfb0c,
0x30, 0xfb19, 0x2f, 0xfb25, 0x2e, 0xfb32, 0x2d, 0xfb3e,
0x2c, 0xfb4b, 0x2b, 0xfb57, 0x2b, 0xfb64, 0x2a, 0xfb70,
0x29, 0xfb7d, 0x28, 0xfb89, 0x27, 0xfb96, 0x26, 0xfba2,
0x25, 0xfbaf, 0x24, 0xfbbc, 0x24, 0xfbc8, 0x23, 0xfbd5,
0x22, 0xfbe1, 0x21, 0xfbee, 0x20, 0xfbfa, 0x20, 0xfc07,
0x1f, 0xfc13, 0x1e, 0xfc20, 0x1d, 0xfc2c, 0x1d, 0xfc39,
0x1c, 0xfc45, 0x1b, 0xfc52, 0x1a, 0xfc5f, 0x1a, 0xfc6b,
0x19, 0xfc78, 0x18, 0xfc84, 0x18, 0xfc91, 0x17, 0xfc9d,
0x16, 0xfcaa, 0x16, 0xfcb6, 0x15, 0xfcc3, 0x14, 0xfcd0,
0x14, 0xfcdc, 0x13, 0xfce9, 0x13, 0xfcf5, 0x12, 0xfd02,
0x11, 0xfd0e, 0x11, 0xfd1b, 0x10, 0xfd27, 0x10, 0xfd34,
0xf, 0xfd40, 0xf, 0xfd4d, 0xe, 0xfd5a, 0xe, 0xfd66,
0xd, 0xfd73, 0xd, 0xfd7f, 0xc, 0xfd8c, 0xc, 0xfd98,
0xb, 0xfda5, 0xb, 0xfdb2, 0xa, 0xfdbe, 0xa, 0xfdcb,
0x9, 0xfdd7, 0x9, 0xfde4, 0x9, 0xfdf0, 0x8, 0xfdfd,
0x8, 0xfe09, 0x7, 0xfe16, 0x7, 0xfe23, 0x7, 0xfe2f,
0x6, 0xfe3c, 0x6, 0xfe48, 0x6, 0xfe55, 0x5, 0xfe61,
0x5, 0xfe6e, 0x5, 0xfe7a, 0x4, 0xfe87, 0x4, 0xfe94,
0x4, 0xfea0, 0x4, 0xfead, 0x3, 0xfeb9, 0x3, 0xfec6,
0x3, 0xfed2, 0x3, 0xfedf, 0x2, 0xfeec, 0x2, 0xfef8,
0x2, 0xff05, 0x2, 0xff11, 0x2, 0xff1e, 0x1, 0xff2a,
0x1, 0xff37, 0x1, 0xff44, 0x1, 0xff50, 0x1, 0xff5d,
0x1, 0xff69, 0x1, 0xff76, 0x0, 0xff82, 0x0, 0xff8f,
0x0, 0xff9b, 0x0, 0xffa8, 0x0, 0xffb5, 0x0, 0xffc1,
0x0, 0xffce, 0x0, 0xffda, 0x0, 0xffe7, 0x0, 0xfff3,
0x0, 0x0, 0x0, 0xd, 0x0, 0x19, 0x0, 0x26,
0x0, 0x32, 0x0, 0x3f, 0x0, 0x4b, 0x0, 0x58,
0x0, 0x65, 0x0, 0x71, 0x0, 0x7e, 0x1, 0x8a,
0x1, 0x97, 0x1, 0xa3, 0x1, 0xb0, 0x1, 0xbc,
0x1, 0xc9, 0x1, 0xd6, 0x2, 0xe2, 0x2, 0xef,
0x2, 0xfb, 0x2, 0x108, 0x2, 0x114, 0x3, 0x121,
0x3, 0x12e, 0x3, 0x13a, 0x3, 0x147, 0x4, 0x153,
0x4, 0x160, 0x4, 0x16c, 0x4, 0x179, 0x5, 0x186,
0x5, 0x192, 0x5, 0x19f, 0x6, 0x1ab, 0x6, 0x1b8,
0x6, 0x1c4, 0x7, 0x1d1, 0x7, 0x1dd, 0x7, 0x1ea,
0x8, 0x1f7, 0x8, 0x203, 0x9, 0x210, 0x9, 0x21c,
0x9, 0x229, 0xa, 0x235, 0xa, 0x242, 0xb, 0x24e,
0xb, 0x25b, 0xc, 0x268, 0xc, 0x274, 0xd, 0x281,
0xd, 0x28d, 0xe, 0x29a, 0xe, 0x2a6, 0xf, 0x2b3,
0xf, 0x2c0, 0x10, 0x2cc, 0x10, 0x2d9, 0x11, 0x2e5,
0x11, 0x2f2, 0x12, 0x2fe, 0x13, 0x30b, 0x13, 0x317,
0x14, 0x324, 0x14, 0x330, 0x15, 0x33d, 0x16, 0x34a,
0x16, 0x356, 0x17, 0x363, 0x18, 0x36f, 0x18, 0x37c,
0x19, 0x388, 0x1a, 0x395, 0x1a, 0x3a1, 0x1b, 0x3ae,
0x1c, 0x3bb, 0x1d, 0x3c7, 0x1d, 0x3d4, 0x1e, 0x3e0,
0x1f, 0x3ed, 0x20, 0x3f9, 0x20, 0x406, 0x21, 0x412,
0x22, 0x41f, 0x23, 0x42b, 0x24, 0x438, 0x24, 0x444,
0x25, 0x451, 0x26, 0x45e, 0x27, 0x46a, 0x28, 0x477,
0x29, 0x483, 0x2a, 0x490, 0x2b, 0x49c, 0x2b, 0x4a9,
0x2c, 0x4b5, 0x2d, 0x4c2, 0x2e, 0x4ce, 0x2f, 0x4db,
0x30, 0x4e7, 0x31, 0x4f4, 0x32, 0x500, 0x33, 0x50d,
0x34, 0x51a, 0x35, 0x526, 0x36, 0x533, 0x37, 0x53f,
0x38, 0x54c, 0x39, 0x558, 0x3a, 0x565, 0x3b, 0x571,
0x3c, 0x57e, 0x3d, 0x58a, 0x3f, 0x597, 0x40, 0x5a3,
0x41, 0x5b0, 0x42, 0x5bc, 0x43, 0x5c9, 0x44, 0x5d5,
0x45, 0x5e2, 0x47, 0x5ee, 0x48, 0x5fb, 0x49, 0x607,
0x4a, 0x614, 0x4b, 0x620, 0x4c, 0x62d, 0x4e, 0x639,
0x4f, 0x646, 0x50, 0x652, 0x51, 0x65f, 0x53, 0x66b,
0x54, 0x678, 0x55, 0x684, 0x56, 0x691, 0x58, 0x69d,
0x59, 0x6aa, 0x5a, 0x6b6, 0x5c, 0x6c3, 0x5d, 0x6cf,
0x5e, 0x6dc, 0x60, 0x6e8, 0x61, 0x6f5, 0x62, 0x701,
0x64, 0x70e, 0x65, 0x71a, 0x67, 0x727, 0x68, 0x733,
0x69, 0x740, 0x6b, 0x74c, 0x6c, 0x759, 0x6e, 0x765,
0x6f, 0x772, 0x71, 0x77e, 0x72, 0x78b, 0x74, 0x797,
0x75, 0x7a4, 0x77, 0x7b0, 0x78, 0x7bd, 0x7a, 0x7c9,
0x7b, 0x7d6, 0x7d, 0x7e2, 0x7e, 0x7ef, 0x80, 0x7fb,
0x81, 0x807, 0x83, 0x814, 0x85, 0x820, 0x86, 0x82d,
0x88, 0x839, 0x89, 0x846, 0x8b, 0x852, 0x8d, 0x85f,
0x8e, 0x86b, 0x90, 0x878, 0x92, 0x884, 0x93, 0x891,
0x95, 0x89d, 0x97, 0x8a9, 0x98, 0x8b6, 0x9a, 0x8c2,
0x9c, 0x8cf, 0x9e, 0x8db, 0x9f, 0x8e8, 0xa1, 0x8f4,
0xa3, 0x901, 0xa5, 0x90d, 0xa6, 0x919, 0xa8, 0x926,
0xaa, 0x932, 0xac, 0x93f, 0xae, 0x94b, 0xaf, 0x958,
0xb1, 0x964, 0xb3, 0x970, 0xb5, 0x97d, 0xb7, 0x989,
0xb9, 0x996, 0xbb, 0x9a2, 0xbd, 0x9af, 0xbe, 0x9bb,
0xc0, 0x9c7, 0xc2, 0x9d4, 0xc4, 0x9e0, 0xc6, 0x9ed,
0xc8, 0x9f9, 0xca, 0xa06, 0xcc, 0xa12, 0xce, 0xa1e,
0xd0, 0xa2b, 0xd2, 0xa37, 0xd4, 0xa44, 0xd6, 0xa50,
0xd8, 0xa5c, 0xda, 0xa69, 0xdc, 0xa75, 0xde, 0xa82,
0xe0, 0xa8e, 0xe2, 0xa9a, 0xe4, 0xaa7, 0xe7, 0xab3,
0xe9, 0xac0, 0xeb, 0xacc, 0xed, 0xad8, 0xef, 0xae5,
0xf1, 0xaf1, 0xf3, 0xafd, 0xf6, 0xb0a, 0xf8, 0xb16,
0xfa, 0xb23, 0xfc, 0xb2f, 0xfe, 0xb3b, 0x100, 0xb48,
0x103, 0xb54, 0x105, 0xb60, 0x107, 0xb6d, 0x109, 0xb79,
0x10c, 0xb85, 0x10e, 0xb92, 0x110, 0xb9e, 0x113, 0xbab,
0x115, 0xbb7, 0x117, 0xbc3, 0x119, 0xbd0, 0x11c, 0xbdc,
0x11e, 0xbe8, 0x120, 0xbf5, 0x123, 0xc01, 0x125, 0xc0d,
0x128, 0xc1a, 0x12a, 0xc26, 0x12c, 0xc32, 0x12f, 0xc3f,
0x131, 0xc4b, 0x134, 0xc57, 0x136, 0xc64, 0x138, 0xc70,
0x13b, 0xc7c, 0x13d, 0xc89, 0x140, 0xc95, 0x142, 0xca1,
0x145, 0xcae, 0x147, 0xcba, 0x14a, 0xcc6, 0x14c, 0xcd3,
0x14f, 0xcdf, 0x151, 0xceb, 0x154, 0xcf8, 0x156, 0xd04,
0x159, 0xd10, 0x15b, 0xd1c, 0x15e, 0xd29, 0x161, 0xd35,
0x163, 0xd41, 0x166, 0xd4e, 0x168, 0xd5a, 0x16b, 0xd66,
0x16e, 0xd72, 0x170, 0xd7f, 0x173, 0xd8b, 0x176, 0xd97,
0x178, 0xda4, 0x17b, 0xdb0, 0x17e, 0xdbc, 0x180, 0xdc8,
0x183, 0xdd5, 0x186, 0xde1, 0x189, 0xded, 0x18b, 0xdf9,
0x18e, 0xe06, 0x191, 0xe12, 0x194, 0xe1e, 0x196, 0xe2b,
0x199, 0xe37, 0x19c, 0xe43, 0x19f, 0xe4f, 0x1a2, 0xe5c,
0x1a4, 0xe68, 0x1a7, 0xe74, 0x1aa, 0xe80, 0x1ad, 0xe8c,
0x1b0, 0xe99, 0x1b3, 0xea5, 0x1b6, 0xeb1, 0x1b8, 0xebd,
0x1bb, 0xeca, 0x1be, 0xed6, 0x1c1, 0xee2, 0x1c4, 0xeee,
0x1c7, 0xefb, 0x1ca, 0xf07, 0x1cd, 0xf13, 0x1d0, 0xf1f,
0x1d3, 0xf2b, 0x1d6, 0xf38, 0x1d9, 0xf44, 0x1dc, 0xf50,
0x1df, 0xf5c, 0x1e2, 0xf68, 0x1e5, 0xf75, 0x1e8, 0xf81,
0x1eb, 0xf8d, 0x1ee, 0xf99, 0x1f1, 0xfa5, 0x1f4, 0xfb2,
0x1f7, 0xfbe, 0x1fa, 0xfca, 0x1fd, 0xfd6, 0x201, 0xfe2,
0x204, 0xfee, 0x207, 0xffb, 0x20a, 0x1007, 0x20d, 0x1013,
0x210, 0x101f, 0x213, 0x102b, 0x217, 0x1037, 0x21a, 0x1044,
0x21d, 0x1050, 0x220, 0x105c, 0x223, 0x1068, 0x227, 0x1074,
0x22a, 0x1080, 0x22d, 0x108c, 0x230, 0x1099, 0x234, 0x10a5,
0x237, 0x10b1, 0x23a, 0x10bd, 0x23e, 0x10c9, 0x241, 0x10d5,
0x244, 0x10e1, 0x247, 0x10ed, 0x24b, 0x10fa, 0x24e, 0x1106,
0x251, 0x1112, 0x255, 0x111e, 0x258, 0x112a, 0x25c, 0x1136,
0x25f, 0x1142, 0x262, 0x114e, 0x266, 0x115a, 0x269, 0x1167,
0x26d, 0x1173, 0x270, 0x117f, 0x273, 0x118b, 0x277, 0x1197,
0x27a, 0x11a3, 0x27e, 0x11af, 0x281, 0x11bb, 0x285, 0x11c7,
0x288, 0x11d3, 0x28c, 0x11df, 0x28f, 0x11eb, 0x293, 0x11f7,
0x296, 0x1204, 0x29a, 0x1210, 0x29d, 0x121c, 0x2a1, 0x1228,
0x2a5, 0x1234, 0x2a8, 0x1240, 0x2ac, 0x124c, 0x2af, 0x1258,
0x2b3, 0x1264, 0x2b7, 0x1270, 0x2ba, 0x127c, 0x2be, 0x1288,
0x2c1, 0x1294, 0x2c5, 0x12a0, 0x2c9, 0x12ac, 0x2cc, 0x12b8,
0x2d0, 0x12c4, 0x2d4, 0x12d0, 0x2d8, 0x12dc, 0x2db, 0x12e8,
0x2df, 0x12f4, 0x2e3, 0x1300, 0x2e6, 0x130c, 0x2ea, 0x1318,
0x2ee, 0x1324, 0x2f2, 0x1330, 0x2f5, 0x133c, 0x2f9, 0x1348,
0x2fd, 0x1354, 0x301, 0x1360, 0x305, 0x136c, 0x308, 0x1378,
0x30c, 0x1384, 0x310, 0x1390, 0x314, 0x139c, 0x318, 0x13a8,
0x31c, 0x13b4, 0x320, 0x13c0, 0x323, 0x13cc, 0x327, 0x13d8,
0x32b, 0x13e4, 0x32f, 0x13f0, 0x333, 0x13fb, 0x337, 0x1407,
0x33b, 0x1413, 0x33f, 0x141f, 0x343, 0x142b, 0x347, 0x1437,
0x34b, 0x1443, 0x34f, 0x144f, 0x353, 0x145b, 0x357, 0x1467,
0x35b, 0x1473, 0x35f, 0x147f, 0x363, 0x148b, 0x367, 0x1496,
0x36b, 0x14a2, 0x36f, 0x14ae, 0x373, 0x14ba, 0x377, 0x14c6,
0x37b, 0x14d2, 0x37f, 0x14de, 0x383, 0x14ea, 0x387, 0x14f6,
0x38c, 0x1501, 0x390, 0x150d, 0x394, 0x1519, 0x398, 0x1525,
0x39c, 0x1531, 0x3a0, 0x153d, 0x3a5, 0x1549, 0x3a9, 0x1554,
0x3ad, 0x1560, 0x3b1, 0x156c, 0x3b5, 0x1578, 0x3ba, 0x1584,
0x3be, 0x1590, 0x3c2, 0x159b, 0x3c6, 0x15a7, 0x3ca, 0x15b3,
0x3cf, 0x15bf, 0x3d3, 0x15cb, 0x3d7, 0x15d7, 0x3dc, 0x15e2,
0x3e0, 0x15ee, 0x3e4, 0x15fa, 0x3e9, 0x1606, 0x3ed, 0x1612,
0x3f1, 0x161d, 0x3f6, 0x1629, 0x3fa, 0x1635, 0x3fe, 0x1641,
0x403, 0x164c, 0x407, 0x1658, 0x40b, 0x1664, 0x410, 0x1670,
0x414, 0x167c, 0x419, 0x1687, 0x41d, 0x1693, 0x422, 0x169f,
0x426, 0x16ab, 0x42a, 0x16b6, 0x42f, 0x16c2, 0x433, 0x16ce,
0x438, 0x16da, 0x43c, 0x16e5, 0x441, 0x16f1, 0x445, 0x16fd,
0x44a, 0x1709, 0x44e, 0x1714, 0x453, 0x1720, 0x457, 0x172c,
0x45c, 0x1737, 0x461, 0x1743, 0x465, 0x174f, 0x46a, 0x175b,
0x46e, 0x1766, 0x473, 0x1772, 0x478, 0x177e, 0x47c, 0x1789,
0x481, 0x1795, 0x485, 0x17a1, 0x48a, 0x17ac, 0x48f, 0x17b8,
0x493, 0x17c4, 0x498, 0x17cf, 0x49d, 0x17db, 0x4a1, 0x17e7,
0x4a6, 0x17f2, 0x4ab, 0x17fe, 0x4b0, 0x180a, 0x4b4, 0x1815,
0x4b9, 0x1821, 0x4be, 0x182d, 0x4c2, 0x1838, 0x4c7, 0x1844,
0x4cc, 0x184f, 0x4d1, 0x185b, 0x4d6, 0x1867, 0x4da, 0x1872,
0x4df, 0x187e, 0x4e4, 0x1889, 0x4e9, 0x1895, 0x4ee, 0x18a1,
0x4f2, 0x18ac, 0x4f7, 0x18b8, 0x4fc, 0x18c3, 0x501, 0x18cf,
0x506, 0x18db, 0x50b, 0x18e6, 0x510, 0x18f2, 0x515, 0x18fd,
0x51a, 0x1909, 0x51e, 0x1914, 0x523, 0x1920, 0x528, 0x192c,
0x52d, 0x1937, 0x532, 0x1943, 0x537, 0x194e, 0x53c, 0x195a,
0x541, 0x1965, 0x546, 0x1971, 0x54b, 0x197c, 0x550, 0x1988,
0x555, 0x1993, 0x55a, 0x199f, 0x55f, 0x19aa, 0x564, 0x19b6,
0x569, 0x19c1, 0x56e, 0x19cd, 0x573, 0x19d8, 0x578, 0x19e4,
0x57e, 0x19ef, 0x583, 0x19fb, 0x588, 0x1a06, 0x58d, 0x1a12,
0x592, 0x1a1d, 0x597, 0x1a29, 0x59c, 0x1a34, 0x5a1, 0x1a40,
0x5a7, 0x1a4b, 0x5ac, 0x1a57, 0x5b1, 0x1a62, 0x5b6, 0x1a6e,
0x5bb, 0x1a79, 0x5c1, 0x1a84, 0x5c6, 0x1a90, 0x5cb, 0x1a9b,
0x5d0, 0x1aa7, 0x5d5, 0x1ab2, 0x5db, 0x1abe, 0x5e0, 0x1ac9,
0x5e5, 0x1ad4, 0x5ea, 0x1ae0, 0x5f0, 0x1aeb, 0x5f5, 0x1af7,
0x5fa, 0x1b02, 0x600, 0x1b0d, 0x605, 0x1b19, 0x60a, 0x1b24,
0x610, 0x1b30, 0x615, 0x1b3b, 0x61a, 0x1b46, 0x620, 0x1b52,
0x625, 0x1b5d, 0x62a, 0x1b68, 0x630, 0x1b74, 0x635, 0x1b7f,
0x63b, 0x1b8a, 0x640, 0x1b96, 0x645, 0x1ba1, 0x64b, 0x1bac,
0x650, 0x1bb8, 0x656, 0x1bc3, 0x65b, 0x1bce, 0x661, 0x1bda,
0x666, 0x1be5, 0x66c, 0x1bf0, 0x671, 0x1bfc, 0x677, 0x1c07,
0x67c, 0x1c12, 0x682, 0x1c1e, 0x687, 0x1c29, 0x68d, 0x1c34,
0x692, 0x1c3f, 0x698, 0x1c4b, 0x69d, 0x1c56, 0x6a3, 0x1c61,
0x6a8, 0x1c6c, 0x6ae, 0x1c78, 0x6b4, 0x1c83, 0x6b9, 0x1c8e,
0x6bf, 0x1c99, 0x6c5, 0x1ca5, 0x6ca, 0x1cb0, 0x6d0, 0x1cbb,
0x6d5, 0x1cc6, 0x6db, 0x1cd2, 0x6e1, 0x1cdd, 0x6e6, 0x1ce8,
0x6ec, 0x1cf3, 0x6f2, 0x1cff, 0x6f7, 0x1d0a, 0x6fd, 0x1d15,
0x703, 0x1d20, 0x709, 0x1d2b, 0x70e, 0x1d36, 0x714, 0x1d42,
0x71a, 0x1d4d, 0x720, 0x1d58, 0x725, 0x1d63, 0x72b, 0x1d6e,
0x731, 0x1d79, 0x737, 0x1d85, 0x73d, 0x1d90, 0x742, 0x1d9b,
0x748, 0x1da6, 0x74e, 0x1db1, 0x754, 0x1dbc, 0x75a, 0x1dc7,
0x75f, 0x1dd3, 0x765, 0x1dde, 0x76b, 0x1de9, 0x771, 0x1df4,
0x777, 0x1dff, 0x77d, 0x1e0a, 0x783, 0x1e15, 0x789, 0x1e20,
0x78f, 0x1e2b, 0x795, 0x1e36, 0x79a, 0x1e42, 0x7a0, 0x1e4d,
0x7a6, 0x1e58, 0x7ac, 0x1e63, 0x7b2, 0x1e6e, 0x7b8, 0x1e79,
0x7be, 0x1e84, 0x7c4, 0x1e8f, 0x7ca, 0x1e9a, 0x7d0, 0x1ea5,
0x7d6, 0x1eb0, 0x7dc, 0x1ebb, 0x7e2, 0x1ec6, 0x7e8, 0x1ed1,
0x7ee, 0x1edc, 0x7f5, 0x1ee7, 0x7fb, 0x1ef2, 0x801, 0x1efd,
0x807, 0x1f08, 0x80d, 0x1f13, 0x813, 0x1f1e, 0x819, 0x1f29,
0x81f, 0x1f34, 0x825, 0x1f3f, 0x82b, 0x1f4a, 0x832, 0x1f55,
0x838, 0x1f60, 0x83e, 0x1f6b, 0x844, 0x1f76, 0x84a, 0x1f81,
0x850, 0x1f8c, 0x857, 0x1f97, 0x85d, 0x1fa2, 0x863, 0x1fac,
0x869, 0x1fb7, 0x870, 0x1fc2, 0x876, 0x1fcd, 0x87c, 0x1fd8,
0x882, 0x1fe3, 0x889, 0x1fee, 0x88f, 0x1ff9, 0x895, 0x2004,
0x89b, 0x200f, 0x8a2, 0x2019, 0x8a8, 0x2024, 0x8ae, 0x202f,
0x8b5, 0x203a, 0x8bb, 0x2045, 0x8c1, 0x2050, 0x8c8, 0x205b,
0x8ce, 0x2065, 0x8d4, 0x2070, 0x8db, 0x207b, 0x8e1, 0x2086,
0x8e8, 0x2091, 0x8ee, 0x209b, 0x8f4, 0x20a6, 0x8fb, 0x20b1,
0x901, 0x20bc, 0x908, 0x20c7, 0x90e, 0x20d1, 0x915, 0x20dc,
0x91b, 0x20e7, 0x921, 0x20f2, 0x928, 0x20fd, 0x92e, 0x2107,
0x935, 0x2112, 0x93b, 0x211d, 0x942, 0x2128, 0x948, 0x2132,
0x94f, 0x213d, 0x955, 0x2148, 0x95c, 0x2153, 0x963, 0x215d,
0x969, 0x2168, 0x970, 0x2173, 0x976, 0x217d, 0x97d, 0x2188,
0x983, 0x2193, 0x98a, 0x219e, 0x991, 0x21a8, 0x997, 0x21b3,
0x99e, 0x21be, 0x9a4, 0x21c8, 0x9ab, 0x21d3, 0x9b2, 0x21de,
0x9b8, 0x21e8, 0x9bf, 0x21f3, 0x9c6, 0x21fe, 0x9cc, 0x2208,
0x9d3, 0x2213, 0x9da, 0x221e, 0x9e0, 0x2228, 0x9e7, 0x2233,
0x9ee, 0x223d, 0x9f5, 0x2248, 0x9fb, 0x2253, 0xa02, 0x225d,
0xa09, 0x2268, 0xa10, 0x2272, 0xa16, 0x227d, 0xa1d, 0x2288,
0xa24, 0x2292, 0xa2b, 0x229d, 0xa32, 0x22a7, 0xa38, 0x22b2,
0xa3f, 0x22bc, 0xa46, 0x22c7, 0xa4d, 0x22d2, 0xa54, 0x22dc,
0xa5b, 0x22e7, 0xa61, 0x22f1, 0xa68, 0x22fc, 0xa6f, 0x2306,
0xa76, 0x2311, 0xa7d, 0x231b, 0xa84, 0x2326, 0xa8b, 0x2330,
0xa92, 0x233b, 0xa99, 0x2345, 0xa9f, 0x2350, 0xaa6, 0x235a,
0xaad, 0x2365, 0xab4, 0x236f, 0xabb, 0x237a, 0xac2, 0x2384,
0xac9, 0x238e, 0xad0, 0x2399, 0xad7, 0x23a3, 0xade, 0x23ae,
0xae5, 0x23b8, 0xaec, 0x23c3, 0xaf3, 0x23cd, 0xafa, 0x23d7,
0xb01, 0x23e2, 0xb08, 0x23ec, 0xb0f, 0x23f7, 0xb16, 0x2401,
0xb1e, 0x240b, 0xb25, 0x2416, 0xb2c, 0x2420, 0xb33, 0x242b,
0xb3a, 0x2435, 0xb41, 0x243f, 0xb48, 0x244a, 0xb4f, 0x2454,
0xb56, 0x245e, 0xb5e, 0x2469, 0xb65, 0x2473, 0xb6c, 0x247d,
0xb73, 0x2488, 0xb7a, 0x2492, 0xb81, 0x249c, 0xb89, 0x24a7,
0xb90, 0x24b1, 0xb97, 0x24bb, 0xb9e, 0x24c5, 0xba5, 0x24d0,
0xbad, 0x24da, 0xbb4, 0x24e4, 0xbbb, 0x24ef, 0xbc2, 0x24f9,
0xbca, 0x2503, 0xbd1, 0x250d, 0xbd8, 0x2518, 0xbe0, 0x2522,
0xbe7, 0x252c, 0xbee, 0x2536, 0xbf5, 0x2541, 0xbfd, 0x254b,
0xc04, 0x2555, 0xc0b, 0x255f, 0xc13, 0x2569, 0xc1a, 0x2574,
0xc21, 0x257e, 0xc29, 0x2588, 0xc30, 0x2592, 0xc38, 0x259c,
0xc3f, 0x25a6, 0xc46, 0x25b1, 0xc4e, 0x25bb, 0xc55, 0x25c5,
0xc5d, 0x25cf, 0xc64, 0x25d9, 0xc6b, 0x25e3, 0xc73, 0x25ed,
0xc7a, 0x25f8, 0xc82, 0x2602, 0xc89, 0x260c, 0xc91, 0x2616,
0xc98, 0x2620, 0xca0, 0x262a, 0xca7, 0x2634, 0xcaf, 0x263e,
0xcb6, 0x2648, 0xcbe, 0x2652, 0xcc5, 0x265c, 0xccd, 0x2666,
0xcd4, 0x2671, 0xcdc, 0x267b, 0xce3, 0x2685, 0xceb, 0x268f,
0xcf3, 0x2699, 0xcfa, 0x26a3, 0xd02, 0x26ad, 0xd09, 0x26b7,
0xd11, 0x26c1, 0xd19, 0x26cb, 0xd20, 0x26d5, 0xd28, 0x26df,
0xd30, 0x26e9, 0xd37, 0x26f3, 0xd3f, 0x26fd, 0xd46, 0x2707,
0xd4e, 0x2711, 0xd56, 0x271a, 0xd5d, 0x2724, 0xd65, 0x272e,
0xd6d, 0x2738, 0xd75, 0x2742, 0xd7c, 0x274c, 0xd84, 0x2756,
0xd8c, 0x2760, 0xd93, 0x276a, 0xd9b, 0x2774, 0xda3, 0x277e,
0xdab, 0x2788, 0xdb2, 0x2791, 0xdba, 0x279b, 0xdc2, 0x27a5,
0xdca, 0x27af, 0xdd2, 0x27b9, 0xdd9, 0x27c3, 0xde1, 0x27cd,
0xde9, 0x27d6, 0xdf1, 0x27e0, 0xdf9, 0x27ea, 0xe01, 0x27f4,
0xe08, 0x27fe, 0xe10, 0x2808, 0xe18, 0x2811, 0xe20, 0x281b,
0xe28, 0x2825, 0xe30, 0x282f, 0xe38, 0x2838, 0xe40, 0x2842,
0xe47, 0x284c, 0xe4f, 0x2856, 0xe57, 0x2860, 0xe5f, 0x2869,
0xe67, 0x2873, 0xe6f, 0x287d, 0xe77, 0x2886, 0xe7f, 0x2890,
0xe87, 0x289a, 0xe8f, 0x28a4, 0xe97, 0x28ad, 0xe9f, 0x28b7,
0xea7, 0x28c1, 0xeaf, 0x28ca, 0xeb7, 0x28d4, 0xebf, 0x28de,
0xec7, 0x28e7, 0xecf, 0x28f1, 0xed7, 0x28fb, 0xedf, 0x2904,
0xee7, 0x290e, 0xeef, 0x2918, 0xef7, 0x2921, 0xeff, 0x292b,
0xf07, 0x2935, 0xf10, 0x293e, 0xf18, 0x2948, 0xf20, 0x2951,
0xf28, 0x295b, 0xf30, 0x2965, 0xf38, 0x296e, 0xf40, 0x2978,
0xf48, 0x2981, 0xf51, 0x298b, 0xf59, 0x2994, 0xf61, 0x299e,
0xf69, 0x29a7, 0xf71, 0x29b1, 0xf79, 0x29bb, 0xf82, 0x29c4,
0xf8a, 0x29ce, 0xf92, 0x29d7, 0xf9a, 0x29e1, 0xfa3, 0x29ea,
0xfab, 0x29f4, 0xfb3, 0x29fd, 0xfbb, 0x2a07, 0xfc4, 0x2a10,
0xfcc, 0x2a1a, 0xfd4, 0x2a23, 0xfdc, 0x2a2c, 0xfe5, 0x2a36,
0xfed, 0x2a3f, 0xff5, 0x2a49, 0xffe, 0x2a52, 0x1006, 0x2a5c,
0x100e, 0x2a65, 0x1016, 0x2a6e, 0x101f, 0x2a78, 0x1027, 0x2a81,
0x1030, 0x2a8b, 0x1038, 0x2a94, 0x1040, 0x2a9d, 0x1049, 0x2aa7,
0x1051, 0x2ab0, 0x1059, 0x2ab9, 0x1062, 0x2ac3, 0x106a, 0x2acc,
0x1073, 0x2ad6, 0x107b, 0x2adf, 0x1083, 0x2ae8, 0x108c, 0x2af2,
0x1094, 0x2afb, 0x109d, 0x2b04, 0x10a5, 0x2b0d, 0x10ae, 0x2b17,
0x10b6, 0x2b20, 0x10bf, 0x2b29, 0x10c7, 0x2b33, 0x10d0, 0x2b3c,
0x10d8, 0x2b45, 0x10e0, 0x2b4e, 0x10e9, 0x2b58, 0x10f2, 0x2b61,
0x10fa, 0x2b6a, 0x1103, 0x2b73, 0x110b, 0x2b7d, 0x1114, 0x2b86,
0x111c, 0x2b8f, 0x1125, 0x2b98, 0x112d, 0x2ba1, 0x1136, 0x2bab,
0x113e, 0x2bb4, 0x1147, 0x2bbd, 0x1150, 0x2bc6, 0x1158, 0x2bcf,
0x1161, 0x2bd8, 0x1169, 0x2be2, 0x1172, 0x2beb, 0x117b, 0x2bf4,
0x1183, 0x2bfd, 0x118c, 0x2c06, 0x1195, 0x2c0f, 0x119d, 0x2c18,
0x11a6, 0x2c21, 0x11af, 0x2c2b, 0x11b7, 0x2c34, 0x11c0, 0x2c3d,
0x11c9, 0x2c46, 0x11d1, 0x2c4f, 0x11da, 0x2c58, 0x11e3, 0x2c61,
0x11eb, 0x2c6a, 0x11f4, 0x2c73, 0x11fd, 0x2c7c, 0x1206, 0x2c85,
0x120e, 0x2c8e, 0x1217, 0x2c97, 0x1220, 0x2ca0, 0x1229, 0x2ca9,
0x1231, 0x2cb2, 0x123a, 0x2cbb, 0x1243, 0x2cc4, 0x124c, 0x2ccd,
0x1255, 0x2cd6, 0x125d, 0x2cdf, 0x1266, 0x2ce8, 0x126f, 0x2cf1,
0x1278, 0x2cfa, 0x1281, 0x2d03, 0x128a, 0x2d0c, 0x1292, 0x2d15,
0x129b, 0x2d1e, 0x12a4, 0x2d27, 0x12ad, 0x2d2f, 0x12b6, 0x2d38,
0x12bf, 0x2d41, 0x12c8, 0x2d4a, 0x12d1, 0x2d53, 0x12d9, 0x2d5c,
0x12e2, 0x2d65, 0x12eb, 0x2d6e, 0x12f4, 0x2d76, 0x12fd, 0x2d7f,
0x1306, 0x2d88, 0x130f, 0x2d91, 0x1318, 0x2d9a, 0x1321, 0x2da3,
0x132a, 0x2dab, 0x1333, 0x2db4, 0x133c, 0x2dbd, 0x1345, 0x2dc6,
0x134e, 0x2dcf, 0x1357, 0x2dd7, 0x1360, 0x2de0, 0x1369, 0x2de9,
0x1372, 0x2df2, 0x137b, 0x2dfa, 0x1384, 0x2e03, 0x138d, 0x2e0c,
0x1396, 0x2e15, 0x139f, 0x2e1d, 0x13a8, 0x2e26, 0x13b1, 0x2e2f,
0x13ba, 0x2e37, 0x13c3, 0x2e40, 0x13cc, 0x2e49, 0x13d5, 0x2e51,
0x13df, 0x2e5a, 0x13e8, 0x2e63, 0x13f1, 0x2e6b, 0x13fa, 0x2e74,
0x1403, 0x2e7d, 0x140c, 0x2e85, 0x1415, 0x2e8e, 0x141e, 0x2e97,
0x1428, 0x2e9f, 0x1431, 0x2ea8, 0x143a, 0x2eb0, 0x1443, 0x2eb9,
0x144c, 0x2ec2, 0x1455, 0x2eca, 0x145f, 0x2ed3, 0x1468, 0x2edb,
0x1471, 0x2ee4, 0x147a, 0x2eec, 0x1483, 0x2ef5, 0x148d, 0x2efd,
0x1496, 0x2f06, 0x149f, 0x2f0e, 0x14a8, 0x2f17, 0x14b2, 0x2f20,
0x14bb, 0x2f28, 0x14c4, 0x2f30, 0x14cd, 0x2f39, 0x14d7, 0x2f41,
0x14e0, 0x2f4a, 0x14e9, 0x2f52, 0x14f3, 0x2f5b, 0x14fc, 0x2f63,
0x1505, 0x2f6c, 0x150e, 0x2f74, 0x1518, 0x2f7d, 0x1521, 0x2f85,
0x152a, 0x2f8d, 0x1534, 0x2f96, 0x153d, 0x2f9e, 0x1547, 0x2fa7,
0x1550, 0x2faf, 0x1559, 0x2fb7, 0x1563, 0x2fc0, 0x156c, 0x2fc8,
0x1575, 0x2fd0, 0x157f, 0x2fd9, 0x1588, 0x2fe1, 0x1592, 0x2fea,
0x159b, 0x2ff2, 0x15a4, 0x2ffa, 0x15ae, 0x3002, 0x15b7, 0x300b,
0x15c1, 0x3013, 0x15ca, 0x301b, 0x15d4, 0x3024, 0x15dd, 0x302c,
0x15e6, 0x3034, 0x15f0, 0x303c, 0x15f9, 0x3045, 0x1603, 0x304d,
0x160c, 0x3055, 0x1616, 0x305d, 0x161f, 0x3066, 0x1629, 0x306e,
0x1632, 0x3076, 0x163c, 0x307e, 0x1645, 0x3087, 0x164f, 0x308f,
0x1659, 0x3097, 0x1662, 0x309f, 0x166c, 0x30a7, 0x1675, 0x30af,
0x167f, 0x30b8, 0x1688, 0x30c0, 0x1692, 0x30c8, 0x169b, 0x30d0,
0x16a5, 0x30d8, 0x16af, 0x30e0, 0x16b8, 0x30e8, 0x16c2, 0x30f0,
0x16cb, 0x30f9, 0x16d5, 0x3101, 0x16df, 0x3109, 0x16e8, 0x3111,
0x16f2, 0x3119, 0x16fc, 0x3121, 0x1705, 0x3129, 0x170f, 0x3131,
0x1719, 0x3139, 0x1722, 0x3141, 0x172c, 0x3149, 0x1736, 0x3151,
0x173f, 0x3159, 0x1749, 0x3161, 0x1753, 0x3169, 0x175c, 0x3171,
0x1766, 0x3179, 0x1770, 0x3181, 0x177a, 0x3189, 0x1783, 0x3191,
0x178d, 0x3199, 0x1797, 0x31a1, 0x17a0, 0x31a9, 0x17aa, 0x31b1,
0x17b4, 0x31b9, 0x17be, 0x31c0, 0x17c8, 0x31c8, 0x17d1, 0x31d0,
0x17db, 0x31d8, 0x17e5, 0x31e0, 0x17ef, 0x31e8, 0x17f8, 0x31f0,
0x1802, 0x31f8, 0x180c, 0x31ff, 0x1816, 0x3207, 0x1820, 0x320f,
0x182a, 0x3217, 0x1833, 0x321f, 0x183d, 0x3227, 0x1847, 0x322e,
0x1851, 0x3236, 0x185b, 0x323e, 0x1865, 0x3246, 0x186f, 0x324e,
0x1878, 0x3255, 0x1882, 0x325d, 0x188c, 0x3265, 0x1896, 0x326d,
0x18a0, 0x3274, 0x18aa, 0x327c, 0x18b4, 0x3284, 0x18be, 0x328b,
0x18c8, 0x3293, 0x18d2, 0x329b, 0x18dc, 0x32a3, 0x18e6, 0x32aa,
0x18ef, 0x32b2, 0x18f9, 0x32ba, 0x1903, 0x32c1, 0x190d, 0x32c9,
0x1917, 0x32d0, 0x1921, 0x32d8, 0x192b, 0x32e0, 0x1935, 0x32e7,
0x193f, 0x32ef, 0x1949, 0x32f7, 0x1953, 0x32fe, 0x195d, 0x3306,
0x1967, 0x330d, 0x1971, 0x3315, 0x197b, 0x331d, 0x1985, 0x3324,
0x198f, 0x332c, 0x199a, 0x3333, 0x19a4, 0x333b, 0x19ae, 0x3342,
0x19b8, 0x334a, 0x19c2, 0x3351, 0x19cc, 0x3359, 0x19d6, 0x3360,
0x19e0, 0x3368, 0x19ea, 0x336f, 0x19f4, 0x3377, 0x19fe, 0x337e,
0x1a08, 0x3386, 0x1a13, 0x338d, 0x1a1d, 0x3395, 0x1a27, 0x339c,
0x1a31, 0x33a3, 0x1a3b, 0x33ab, 0x1a45, 0x33b2, 0x1a4f, 0x33ba,
0x1a5a, 0x33c1, 0x1a64, 0x33c8, 0x1a6e, 0x33d0, 0x1a78, 0x33d7,
0x1a82, 0x33df, 0x1a8c, 0x33e6, 0x1a97, 0x33ed, 0x1aa1, 0x33f5,
0x1aab, 0x33fc, 0x1ab5, 0x3403, 0x1abf, 0x340b, 0x1aca, 0x3412,
0x1ad4, 0x3419, 0x1ade, 0x3420, 0x1ae8, 0x3428, 0x1af3, 0x342f,
0x1afd, 0x3436, 0x1b07, 0x343e, 0x1b11, 0x3445, 0x1b1c, 0x344c,
0x1b26, 0x3453, 0x1b30, 0x345b, 0x1b3b, 0x3462, 0x1b45, 0x3469,
0x1b4f, 0x3470, 0x1b59, 0x3477, 0x1b64, 0x347f, 0x1b6e, 0x3486,
0x1b78, 0x348d, 0x1b83, 0x3494, 0x1b8d, 0x349b, 0x1b97, 0x34a2,
0x1ba2, 0x34aa, 0x1bac, 0x34b1, 0x1bb6, 0x34b8, 0x1bc1, 0x34bf,
0x1bcb, 0x34c6, 0x1bd5, 0x34cd, 0x1be0, 0x34d4, 0x1bea, 0x34db,
0x1bf5, 0x34e2, 0x1bff, 0x34ea, 0x1c09, 0x34f1, 0x1c14, 0x34f8,
0x1c1e, 0x34ff, 0x1c29, 0x3506, 0x1c33, 0x350d, 0x1c3d, 0x3514,
0x1c48, 0x351b, 0x1c52, 0x3522, 0x1c5d, 0x3529, 0x1c67, 0x3530,
0x1c72, 0x3537, 0x1c7c, 0x353e, 0x1c86, 0x3545, 0x1c91, 0x354c,
0x1c9b, 0x3553, 0x1ca6, 0x355a, 0x1cb0, 0x3561, 0x1cbb, 0x3567,
0x1cc5, 0x356e, 0x1cd0, 0x3575, 0x1cda, 0x357c, 0x1ce5, 0x3583,
0x1cef, 0x358a, 0x1cfa, 0x3591, 0x1d04, 0x3598, 0x1d0f, 0x359f,
0x1d19, 0x35a5, 0x1d24, 0x35ac, 0x1d2e, 0x35b3, 0x1d39, 0x35ba,
0x1d44, 0x35c1, 0x1d4e, 0x35c8, 0x1d59, 0x35ce, 0x1d63, 0x35d5,
0x1d6e, 0x35dc, 0x1d78, 0x35e3, 0x1d83, 0x35ea, 0x1d8e, 0x35f0,
0x1d98, 0x35f7, 0x1da3, 0x35fe, 0x1dad, 0x3605, 0x1db8, 0x360b,
0x1dc3, 0x3612, 0x1dcd, 0x3619, 0x1dd8, 0x3620, 0x1de2, 0x3626,
0x1ded, 0x362d, 0x1df8, 0x3634, 0x1e02, 0x363a, 0x1e0d, 0x3641,
0x1e18, 0x3648, 0x1e22, 0x364e, 0x1e2d, 0x3655, 0x1e38, 0x365c,
0x1e42, 0x3662, 0x1e4d, 0x3669, 0x1e58, 0x366f, 0x1e62, 0x3676,
0x1e6d, 0x367d, 0x1e78, 0x3683, 0x1e83, 0x368a, 0x1e8d, 0x3690,
0x1e98, 0x3697, 0x1ea3, 0x369d, 0x1ead, 0x36a4, 0x1eb8, 0x36ab,
0x1ec3, 0x36b1, 0x1ece, 0x36b8, 0x1ed8, 0x36be, 0x1ee3, 0x36c5,
0x1eee, 0x36cb, 0x1ef9, 0x36d2, 0x1f03, 0x36d8, 0x1f0e, 0x36df,
0x1f19, 0x36e5, 0x1f24, 0x36eb, 0x1f2f, 0x36f2, 0x1f39, 0x36f8,
0x1f44, 0x36ff, 0x1f4f, 0x3705, 0x1f5a, 0x370c, 0x1f65, 0x3712,
0x1f6f, 0x3718, 0x1f7a, 0x371f, 0x1f85, 0x3725, 0x1f90, 0x372c,
0x1f9b, 0x3732, 0x1fa5, 0x3738, 0x1fb0, 0x373f, 0x1fbb, 0x3745,
0x1fc6, 0x374b, 0x1fd1, 0x3752, 0x1fdc, 0x3758, 0x1fe7, 0x375e,
0x1ff1, 0x3765, 0x1ffc, 0x376b, 0x2007, 0x3771, 0x2012, 0x3777,
0x201d, 0x377e, 0x2028, 0x3784, 0x2033, 0x378a, 0x203e, 0x3790,
0x2049, 0x3797, 0x2054, 0x379d, 0x205e, 0x37a3, 0x2069, 0x37a9,
0x2074, 0x37b0, 0x207f, 0x37b6, 0x208a, 0x37bc, 0x2095, 0x37c2,
0x20a0, 0x37c8, 0x20ab, 0x37ce, 0x20b6, 0x37d5, 0x20c1, 0x37db,
0x20cc, 0x37e1, 0x20d7, 0x37e7, 0x20e2, 0x37ed, 0x20ed, 0x37f3,
0x20f8, 0x37f9, 0x2103, 0x37ff, 0x210e, 0x3805, 0x2119, 0x380b,
0x2124, 0x3812, 0x212f, 0x3818, 0x213a, 0x381e, 0x2145, 0x3824,
0x2150, 0x382a, 0x215b, 0x3830, 0x2166, 0x3836, 0x2171, 0x383c,
0x217c, 0x3842, 0x2187, 0x3848, 0x2192, 0x384e, 0x219d, 0x3854,
0x21a8, 0x385a, 0x21b3, 0x3860, 0x21be, 0x3866, 0x21ca, 0x386b,
0x21d5, 0x3871, 0x21e0, 0x3877, 0x21eb, 0x387d, 0x21f6, 0x3883,
0x2201, 0x3889, 0x220c, 0x388f, 0x2217, 0x3895, 0x2222, 0x389b,
0x222d, 0x38a1, 0x2239, 0x38a6, 0x2244, 0x38ac, 0x224f, 0x38b2,
0x225a, 0x38b8, 0x2265, 0x38be, 0x2270, 0x38c3, 0x227b, 0x38c9,
0x2287, 0x38cf, 0x2292, 0x38d5, 0x229d, 0x38db, 0x22a8, 0x38e0,
0x22b3, 0x38e6, 0x22be, 0x38ec, 0x22ca, 0x38f2, 0x22d5, 0x38f7,
0x22e0, 0x38fd, 0x22eb, 0x3903, 0x22f6, 0x3909, 0x2301, 0x390e,
0x230d, 0x3914, 0x2318, 0x391a, 0x2323, 0x391f, 0x232e, 0x3925,
0x233a, 0x392b, 0x2345, 0x3930, 0x2350, 0x3936, 0x235b, 0x393b,
0x2367, 0x3941, 0x2372, 0x3947, 0x237d, 0x394c, 0x2388, 0x3952,
0x2394, 0x3958, 0x239f, 0x395d, 0x23aa, 0x3963, 0x23b5, 0x3968,
0x23c1, 0x396e, 0x23cc, 0x3973, 0x23d7, 0x3979, 0x23e2, 0x397e,
0x23ee, 0x3984, 0x23f9, 0x3989, 0x2404, 0x398f, 0x2410, 0x3994,
0x241b, 0x399a, 0x2426, 0x399f, 0x2432, 0x39a5, 0x243d, 0x39aa,
0x2448, 0x39b0, 0x2454, 0x39b5, 0x245f, 0x39bb, 0x246a, 0x39c0,
0x2476, 0x39c5, 0x2481, 0x39cb, 0x248c, 0x39d0, 0x2498, 0x39d6,
0x24a3, 0x39db, 0x24ae, 0x39e0, 0x24ba, 0x39e6, 0x24c5, 0x39eb,
0x24d0, 0x39f0, 0x24dc, 0x39f6, 0x24e7, 0x39fb, 0x24f3, 0x3a00,
0x24fe, 0x3a06, 0x2509, 0x3a0b, 0x2515, 0x3a10, 0x2520, 0x3a16,
0x252c, 0x3a1b, 0x2537, 0x3a20, 0x2542, 0x3a25, 0x254e, 0x3a2b,
0x2559, 0x3a30, 0x2565, 0x3a35, 0x2570, 0x3a3a, 0x257c, 0x3a3f,
0x2587, 0x3a45, 0x2592, 0x3a4a, 0x259e, 0x3a4f, 0x25a9, 0x3a54,
0x25b5, 0x3a59, 0x25c0, 0x3a5f, 0x25cc, 0x3a64, 0x25d7, 0x3a69,
0x25e3, 0x3a6e, 0x25ee, 0x3a73, 0x25fa, 0x3a78, 0x2605, 0x3a7d,
0x2611, 0x3a82, 0x261c, 0x3a88, 0x2628, 0x3a8d, 0x2633, 0x3a92,
0x263f, 0x3a97, 0x264a, 0x3a9c, 0x2656, 0x3aa1, 0x2661, 0x3aa6,
0x266d, 0x3aab, 0x2678, 0x3ab0, 0x2684, 0x3ab5, 0x268f, 0x3aba,
0x269b, 0x3abf, 0x26a6, 0x3ac4, 0x26b2, 0x3ac9, 0x26bd, 0x3ace,
0x26c9, 0x3ad3, 0x26d4, 0x3ad8, 0x26e0, 0x3add, 0x26ec, 0x3ae2,
0x26f7, 0x3ae6, 0x2703, 0x3aeb, 0x270e, 0x3af0, 0x271a, 0x3af5,
0x2725, 0x3afa, 0x2731, 0x3aff, 0x273d, 0x3b04, 0x2748, 0x3b09,
0x2754, 0x3b0e, 0x275f, 0x3b12, 0x276b, 0x3b17, 0x2777, 0x3b1c,
0x2782, 0x3b21, 0x278e, 0x3b26, 0x2799, 0x3b2a, 0x27a5, 0x3b2f,
0x27b1, 0x3b34, 0x27bc, 0x3b39, 0x27c8, 0x3b3e, 0x27d3, 0x3b42,
0x27df, 0x3b47, 0x27eb, 0x3b4c, 0x27f6, 0x3b50, 0x2802, 0x3b55,
0x280e, 0x3b5a, 0x2819, 0x3b5f, 0x2825, 0x3b63, 0x2831, 0x3b68,
0x283c, 0x3b6d, 0x2848, 0x3b71, 0x2854, 0x3b76, 0x285f, 0x3b7b,
0x286b, 0x3b7f, 0x2877, 0x3b84, 0x2882, 0x3b88, 0x288e, 0x3b8d,
0x289a, 0x3b92, 0x28a5, 0x3b96, 0x28b1, 0x3b9b, 0x28bd, 0x3b9f,
0x28c9, 0x3ba4, 0x28d4, 0x3ba9, 0x28e0, 0x3bad, 0x28ec, 0x3bb2,
0x28f7, 0x3bb6, 0x2903, 0x3bbb, 0x290f, 0x3bbf, 0x291b, 0x3bc4,
0x2926, 0x3bc8, 0x2932, 0x3bcd, 0x293e, 0x3bd1, 0x294a, 0x3bd6,
0x2955, 0x3bda, 0x2961, 0x3bde, 0x296d, 0x3be3, 0x2979, 0x3be7,
0x2984, 0x3bec, 0x2990, 0x3bf0, 0x299c, 0x3bf5, 0x29a8, 0x3bf9,
0x29b4, 0x3bfd, 0x29bf, 0x3c02, 0x29cb, 0x3c06, 0x29d7, 0x3c0a,
0x29e3, 0x3c0f, 0x29ee, 0x3c13, 0x29fa, 0x3c17, 0x2a06, 0x3c1c,
0x2a12, 0x3c20, 0x2a1e, 0x3c24, 0x2a29, 0x3c29, 0x2a35, 0x3c2d,
0x2a41, 0x3c31, 0x2a4d, 0x3c36, 0x2a59, 0x3c3a, 0x2a65, 0x3c3e,
0x2a70, 0x3c42, 0x2a7c, 0x3c46, 0x2a88, 0x3c4b, 0x2a94, 0x3c4f,
0x2aa0, 0x3c53, 0x2aac, 0x3c57, 0x2ab7, 0x3c5b, 0x2ac3, 0x3c60,
0x2acf, 0x3c64, 0x2adb, 0x3c68, 0x2ae7, 0x3c6c, 0x2af3, 0x3c70,
0x2aff, 0x3c74, 0x2b0a, 0x3c79, 0x2b16, 0x3c7d, 0x2b22, 0x3c81,
0x2b2e, 0x3c85, 0x2b3a, 0x3c89, 0x2b46, 0x3c8d, 0x2b52, 0x3c91,
0x2b5e, 0x3c95, 0x2b6a, 0x3c99, 0x2b75, 0x3c9d, 0x2b81, 0x3ca1,
0x2b8d, 0x3ca5, 0x2b99, 0x3ca9, 0x2ba5, 0x3cad, 0x2bb1, 0x3cb1,
0x2bbd, 0x3cb5, 0x2bc9, 0x3cb9, 0x2bd5, 0x3cbd, 0x2be1, 0x3cc1,
0x2bed, 0x3cc5, 0x2bf9, 0x3cc9, 0x2c05, 0x3ccd, 0x2c10, 0x3cd1,
0x2c1c, 0x3cd5, 0x2c28, 0x3cd9, 0x2c34, 0x3cdd, 0x2c40, 0x3ce0,
0x2c4c, 0x3ce4, 0x2c58, 0x3ce8, 0x2c64, 0x3cec, 0x2c70, 0x3cf0,
0x2c7c, 0x3cf4, 0x2c88, 0x3cf8, 0x2c94, 0x3cfb, 0x2ca0, 0x3cff,
0x2cac, 0x3d03, 0x2cb8, 0x3d07, 0x2cc4, 0x3d0b, 0x2cd0, 0x3d0e,
0x2cdc, 0x3d12, 0x2ce8, 0x3d16, 0x2cf4, 0x3d1a, 0x2d00, 0x3d1d,
0x2d0c, 0x3d21, 0x2d18, 0x3d25, 0x2d24, 0x3d28, 0x2d30, 0x3d2c,
0x2d3c, 0x3d30, 0x2d48, 0x3d34, 0x2d54, 0x3d37, 0x2d60, 0x3d3b,
0x2d6c, 0x3d3f, 0x2d78, 0x3d42, 0x2d84, 0x3d46, 0x2d90, 0x3d49,
0x2d9c, 0x3d4d, 0x2da8, 0x3d51, 0x2db4, 0x3d54, 0x2dc0, 0x3d58,
0x2dcc, 0x3d5b, 0x2dd8, 0x3d5f, 0x2de4, 0x3d63, 0x2df0, 0x3d66,
0x2dfc, 0x3d6a, 0x2e09, 0x3d6d, 0x2e15, 0x3d71, 0x2e21, 0x3d74,
0x2e2d, 0x3d78, 0x2e39, 0x3d7b, 0x2e45, 0x3d7f, 0x2e51, 0x3d82,
0x2e5d, 0x3d86, 0x2e69, 0x3d89, 0x2e75, 0x3d8d, 0x2e81, 0x3d90,
0x2e8d, 0x3d93, 0x2e99, 0x3d97, 0x2ea6, 0x3d9a, 0x2eb2, 0x3d9e,
0x2ebe, 0x3da1, 0x2eca, 0x3da4, 0x2ed6, 0x3da8, 0x2ee2, 0x3dab,
0x2eee, 0x3daf, 0x2efa, 0x3db2, 0x2f06, 0x3db5, 0x2f13, 0x3db9,
0x2f1f, 0x3dbc, 0x2f2b, 0x3dbf, 0x2f37, 0x3dc2, 0x2f43, 0x3dc6,
0x2f4f, 0x3dc9, 0x2f5b, 0x3dcc, 0x2f67, 0x3dd0, 0x2f74, 0x3dd3,
0x2f80, 0x3dd6, 0x2f8c, 0x3dd9, 0x2f98, 0x3ddd, 0x2fa4, 0x3de0,
0x2fb0, 0x3de3, 0x2fbc, 0x3de6, 0x2fc9, 0x3de9, 0x2fd5, 0x3ded,
0x2fe1, 0x3df0, 0x2fed, 0x3df3, 0x2ff9, 0x3df6, 0x3005, 0x3df9,
0x3012, 0x3dfc, 0x301e, 0x3dff, 0x302a, 0x3e03, 0x3036, 0x3e06,
0x3042, 0x3e09, 0x304e, 0x3e0c, 0x305b, 0x3e0f, 0x3067, 0x3e12,
0x3073, 0x3e15, 0x307f, 0x3e18, 0x308b, 0x3e1b, 0x3098, 0x3e1e,
0x30a4, 0x3e21, 0x30b0, 0x3e24, 0x30bc, 0x3e27, 0x30c8, 0x3e2a,
0x30d5, 0x3e2d, 0x30e1, 0x3e30, 0x30ed, 0x3e33, 0x30f9, 0x3e36,
0x3105, 0x3e39, 0x3112, 0x3e3c, 0x311e, 0x3e3f, 0x312a, 0x3e42,
0x3136, 0x3e45, 0x3143, 0x3e48, 0x314f, 0x3e4a, 0x315b, 0x3e4d,
0x3167, 0x3e50, 0x3174, 0x3e53, 0x3180, 0x3e56, 0x318c, 0x3e59,
0x3198, 0x3e5c, 0x31a4, 0x3e5e, 0x31b1, 0x3e61, 0x31bd, 0x3e64,
0x31c9, 0x3e67, 0x31d5, 0x3e6a, 0x31e2, 0x3e6c, 0x31ee, 0x3e6f,
0x31fa, 0x3e72, 0x3207, 0x3e75, 0x3213, 0x3e77, 0x321f, 0x3e7a,
0x322b, 0x3e7d, 0x3238, 0x3e80, 0x3244, 0x3e82, 0x3250, 0x3e85,
0x325c, 0x3e88, 0x3269, 0x3e8a, 0x3275, 0x3e8d, 0x3281, 0x3e90,
0x328e, 0x3e92, 0x329a, 0x3e95, 0x32a6, 0x3e98, 0x32b2, 0x3e9a,
0x32bf, 0x3e9d, 0x32cb, 0x3e9f, 0x32d7, 0x3ea2, 0x32e4, 0x3ea5,
0x32f0, 0x3ea7, 0x32fc, 0x3eaa, 0x3308, 0x3eac, 0x3315, 0x3eaf,
0x3321, 0x3eb1, 0x332d, 0x3eb4, 0x333a, 0x3eb6, 0x3346, 0x3eb9,
0x3352, 0x3ebb, 0x335f, 0x3ebe, 0x336b, 0x3ec0, 0x3377, 0x3ec3,
0x3384, 0x3ec5, 0x3390, 0x3ec8, 0x339c, 0x3eca, 0x33a9, 0x3ecc,
0x33b5, 0x3ecf, 0x33c1, 0x3ed1, 0x33ce, 0x3ed4, 0x33da, 0x3ed6,
0x33e6, 0x3ed8, 0x33f3, 0x3edb, 0x33ff, 0x3edd, 0x340b, 0x3ee0,
0x3418, 0x3ee2, 0x3424, 0x3ee4, 0x3430, 0x3ee7, 0x343d, 0x3ee9,
0x3449, 0x3eeb, 0x3455, 0x3eed, 0x3462, 0x3ef0, 0x346e, 0x3ef2,
0x347b, 0x3ef4, 0x3487, 0x3ef7, 0x3493, 0x3ef9, 0x34a0, 0x3efb,
0x34ac, 0x3efd, 0x34b8, 0x3f00, 0x34c5, 0x3f02, 0x34d1, 0x3f04,
0x34dd, 0x3f06, 0x34ea, 0x3f08, 0x34f6, 0x3f0a, 0x3503, 0x3f0d,
0x350f, 0x3f0f, 0x351b, 0x3f11, 0x3528, 0x3f13, 0x3534, 0x3f15,
0x3540, 0x3f17, 0x354d, 0x3f19, 0x3559, 0x3f1c, 0x3566, 0x3f1e,
0x3572, 0x3f20, 0x357e, 0x3f22, 0x358b, 0x3f24, 0x3597, 0x3f26,
0x35a4, 0x3f28, 0x35b0, 0x3f2a, 0x35bc, 0x3f2c, 0x35c9, 0x3f2e,
0x35d5, 0x3f30, 0x35e2, 0x3f32, 0x35ee, 0x3f34, 0x35fa, 0x3f36,
0x3607, 0x3f38, 0x3613, 0x3f3a, 0x3620, 0x3f3c, 0x362c, 0x3f3e,
0x3639, 0x3f40, 0x3645, 0x3f42, 0x3651, 0x3f43, 0x365e, 0x3f45,
0x366a, 0x3f47, 0x3677, 0x3f49, 0x3683, 0x3f4b, 0x3690, 0x3f4d,
0x369c, 0x3f4f, 0x36a8, 0x3f51, 0x36b5, 0x3f52, 0x36c1, 0x3f54,
0x36ce, 0x3f56, 0x36da, 0x3f58, 0x36e7, 0x3f5a, 0x36f3, 0x3f5b,
0x36ff, 0x3f5d, 0x370c, 0x3f5f, 0x3718, 0x3f61, 0x3725, 0x3f62,
0x3731, 0x3f64, 0x373e, 0x3f66, 0x374a, 0x3f68, 0x3757, 0x3f69,
0x3763, 0x3f6b, 0x376f, 0x3f6d, 0x377c, 0x3f6e, 0x3788, 0x3f70,
0x3795, 0x3f72, 0x37a1, 0x3f73, 0x37ae, 0x3f75, 0x37ba, 0x3f77,
0x37c7, 0x3f78, 0x37d3, 0x3f7a, 0x37e0, 0x3f7b, 0x37ec, 0x3f7d,
0x37f9, 0x3f7f, 0x3805, 0x3f80, 0x3811, 0x3f82, 0x381e, 0x3f83,
0x382a, 0x3f85, 0x3837, 0x3f86, 0x3843, 0x3f88, 0x3850, 0x3f89,
0x385c, 0x3f8b, 0x3869, 0x3f8c, 0x3875, 0x3f8e, 0x3882, 0x3f8f,
0x388e, 0x3f91, 0x389b, 0x3f92, 0x38a7, 0x3f94, 0x38b4, 0x3f95,
0x38c0, 0x3f97, 0x38cd, 0x3f98, 0x38d9, 0x3f99, 0x38e6, 0x3f9b,
0x38f2, 0x3f9c, 0x38ff, 0x3f9e, 0x390b, 0x3f9f, 0x3918, 0x3fa0,
0x3924, 0x3fa2, 0x3931, 0x3fa3, 0x393d, 0x3fa4, 0x394a, 0x3fa6,
0x3956, 0x3fa7, 0x3963, 0x3fa8, 0x396f, 0x3faa, 0x397c, 0x3fab,
0x3988, 0x3fac, 0x3995, 0x3fad, 0x39a1, 0x3faf, 0x39ae, 0x3fb0,
0x39ba, 0x3fb1, 0x39c7, 0x3fb2, 0x39d3, 0x3fb4, 0x39e0, 0x3fb5,
0x39ec, 0x3fb6, 0x39f9, 0x3fb7, 0x3a05, 0x3fb8, 0x3a12, 0x3fb9,
0x3a1e, 0x3fbb, 0x3a2b, 0x3fbc, 0x3a37, 0x3fbd, 0x3a44, 0x3fbe,
0x3a50, 0x3fbf, 0x3a5d, 0x3fc0, 0x3a69, 0x3fc1, 0x3a76, 0x3fc3,
0x3a82, 0x3fc4, 0x3a8f, 0x3fc5, 0x3a9b, 0x3fc6, 0x3aa8, 0x3fc7,
0x3ab4, 0x3fc8, 0x3ac1, 0x3fc9, 0x3acd, 0x3fca, 0x3ada, 0x3fcb,
0x3ae6, 0x3fcc, 0x3af3, 0x3fcd, 0x3b00, 0x3fce, 0x3b0c, 0x3fcf,
0x3b19, 0x3fd0, 0x3b25, 0x3fd1, 0x3b32, 0x3fd2, 0x3b3e, 0x3fd3,
0x3b4b, 0x3fd4, 0x3b57, 0x3fd5, 0x3b64, 0x3fd5, 0x3b70, 0x3fd6,
0x3b7d, 0x3fd7, 0x3b89, 0x3fd8, 0x3b96, 0x3fd9, 0x3ba2, 0x3fda,
0x3baf, 0x3fdb, 0x3bbc, 0x3fdc, 0x3bc8, 0x3fdc, 0x3bd5, 0x3fdd,
0x3be1, 0x3fde, 0x3bee, 0x3fdf, 0x3bfa, 0x3fe0, 0x3c07, 0x3fe0,
0x3c13, 0x3fe1, 0x3c20, 0x3fe2, 0x3c2c, 0x3fe3, 0x3c39, 0x3fe3,
0x3c45, 0x3fe4, 0x3c52, 0x3fe5, 0x3c5f, 0x3fe6, 0x3c6b, 0x3fe6,
0x3c78, 0x3fe7, 0x3c84, 0x3fe8, 0x3c91, 0x3fe8, 0x3c9d, 0x3fe9,
0x3caa, 0x3fea, 0x3cb6, 0x3fea, 0x3cc3, 0x3feb, 0x3cd0, 0x3fec,
0x3cdc, 0x3fec, 0x3ce9, 0x3fed, 0x3cf5, 0x3fed, 0x3d02, 0x3fee,
0x3d0e, 0x3fef, 0x3d1b, 0x3fef, 0x3d27, 0x3ff0, 0x3d34, 0x3ff0,
0x3d40, 0x3ff1, 0x3d4d, 0x3ff1, 0x3d5a, 0x3ff2, 0x3d66, 0x3ff2,
0x3d73, 0x3ff3, 0x3d7f, 0x3ff3, 0x3d8c, 0x3ff4, 0x3d98, 0x3ff4,
0x3da5, 0x3ff5, 0x3db2, 0x3ff5, 0x3dbe, 0x3ff6, 0x3dcb, 0x3ff6,
0x3dd7, 0x3ff7, 0x3de4, 0x3ff7, 0x3df0, 0x3ff7, 0x3dfd, 0x3ff8,
0x3e09, 0x3ff8, 0x3e16, 0x3ff9, 0x3e23, 0x3ff9, 0x3e2f, 0x3ff9,
0x3e3c, 0x3ffa, 0x3e48, 0x3ffa, 0x3e55, 0x3ffa, 0x3e61, 0x3ffb,
0x3e6e, 0x3ffb, 0x3e7a, 0x3ffb, 0x3e87, 0x3ffc, 0x3e94, 0x3ffc,
0x3ea0, 0x3ffc, 0x3ead, 0x3ffc, 0x3eb9, 0x3ffd, 0x3ec6, 0x3ffd,
0x3ed2, 0x3ffd, 0x3edf, 0x3ffd, 0x3eec, 0x3ffe, 0x3ef8, 0x3ffe,
0x3f05, 0x3ffe, 0x3f11, 0x3ffe, 0x3f1e, 0x3ffe, 0x3f2a, 0x3fff,
0x3f37, 0x3fff, 0x3f44, 0x3fff, 0x3f50, 0x3fff, 0x3f5d, 0x3fff,
0x3f69, 0x3fff, 0x3f76, 0x3fff, 0x3f82, 0x4000, 0x3f8f, 0x4000,
0x3f9b, 0x4000, 0x3fa8, 0x4000, 0x3fb5, 0x4000, 0x3fc1, 0x4000,
0x3fce, 0x4000, 0x3fda, 0x4000, 0x3fe7, 0x4000, 0x3ff3, 0x4000,
};
/**
* \par
* Generation of real_CoefB array:
* \par
* n = 4096
* <pre>for (i = 0; i < n; i++)
* {
* pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
* pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
* } </pre>
* \par
* Convert to fixed point Q15 format
* round(pBTable[i] * pow(2, 15))
*
*/
static const q15_t ALIGN4 realCoefBQ15[8192] = {
0x4000, 0x4000, 0x400d, 0x4000, 0x4019, 0x4000, 0x4026, 0x4000,
0x4032, 0x4000, 0x403f, 0x4000, 0x404b, 0x4000, 0x4058, 0x4000,
0x4065, 0x4000, 0x4071, 0x4000, 0x407e, 0x4000, 0x408a, 0x3fff,
0x4097, 0x3fff, 0x40a3, 0x3fff, 0x40b0, 0x3fff, 0x40bc, 0x3fff,
0x40c9, 0x3fff, 0x40d6, 0x3fff, 0x40e2, 0x3ffe, 0x40ef, 0x3ffe,
0x40fb, 0x3ffe, 0x4108, 0x3ffe, 0x4114, 0x3ffe, 0x4121, 0x3ffd,
0x412e, 0x3ffd, 0x413a, 0x3ffd, 0x4147, 0x3ffd, 0x4153, 0x3ffc,
0x4160, 0x3ffc, 0x416c, 0x3ffc, 0x4179, 0x3ffc, 0x4186, 0x3ffb,
0x4192, 0x3ffb, 0x419f, 0x3ffb, 0x41ab, 0x3ffa, 0x41b8, 0x3ffa,
0x41c4, 0x3ffa, 0x41d1, 0x3ff9, 0x41dd, 0x3ff9, 0x41ea, 0x3ff9,
0x41f7, 0x3ff8, 0x4203, 0x3ff8, 0x4210, 0x3ff7, 0x421c, 0x3ff7,
0x4229, 0x3ff7, 0x4235, 0x3ff6, 0x4242, 0x3ff6, 0x424e, 0x3ff5,
0x425b, 0x3ff5, 0x4268, 0x3ff4, 0x4274, 0x3ff4, 0x4281, 0x3ff3,
0x428d, 0x3ff3, 0x429a, 0x3ff2, 0x42a6, 0x3ff2, 0x42b3, 0x3ff1,
0x42c0, 0x3ff1, 0x42cc, 0x3ff0, 0x42d9, 0x3ff0, 0x42e5, 0x3fef,
0x42f2, 0x3fef, 0x42fe, 0x3fee, 0x430b, 0x3fed, 0x4317, 0x3fed,
0x4324, 0x3fec, 0x4330, 0x3fec, 0x433d, 0x3feb, 0x434a, 0x3fea,
0x4356, 0x3fea, 0x4363, 0x3fe9, 0x436f, 0x3fe8, 0x437c, 0x3fe8,
0x4388, 0x3fe7, 0x4395, 0x3fe6, 0x43a1, 0x3fe6, 0x43ae, 0x3fe5,
0x43bb, 0x3fe4, 0x43c7, 0x3fe3, 0x43d4, 0x3fe3, 0x43e0, 0x3fe2,
0x43ed, 0x3fe1, 0x43f9, 0x3fe0, 0x4406, 0x3fe0, 0x4412, 0x3fdf,
0x441f, 0x3fde, 0x442b, 0x3fdd, 0x4438, 0x3fdc, 0x4444, 0x3fdc,
0x4451, 0x3fdb, 0x445e, 0x3fda, 0x446a, 0x3fd9, 0x4477, 0x3fd8,
0x4483, 0x3fd7, 0x4490, 0x3fd6, 0x449c, 0x3fd5, 0x44a9, 0x3fd5,
0x44b5, 0x3fd4, 0x44c2, 0x3fd3, 0x44ce, 0x3fd2, 0x44db, 0x3fd1,
0x44e7, 0x3fd0, 0x44f4, 0x3fcf, 0x4500, 0x3fce, 0x450d, 0x3fcd,
0x451a, 0x3fcc, 0x4526, 0x3fcb, 0x4533, 0x3fca, 0x453f, 0x3fc9,
0x454c, 0x3fc8, 0x4558, 0x3fc7, 0x4565, 0x3fc6, 0x4571, 0x3fc5,
0x457e, 0x3fc4, 0x458a, 0x3fc3, 0x4597, 0x3fc1, 0x45a3, 0x3fc0,
0x45b0, 0x3fbf, 0x45bc, 0x3fbe, 0x45c9, 0x3fbd, 0x45d5, 0x3fbc,
0x45e2, 0x3fbb, 0x45ee, 0x3fb9, 0x45fb, 0x3fb8, 0x4607, 0x3fb7,
0x4614, 0x3fb6, 0x4620, 0x3fb5, 0x462d, 0x3fb4, 0x4639, 0x3fb2,
0x4646, 0x3fb1, 0x4652, 0x3fb0, 0x465f, 0x3faf, 0x466b, 0x3fad,
0x4678, 0x3fac, 0x4684, 0x3fab, 0x4691, 0x3faa, 0x469d, 0x3fa8,
0x46aa, 0x3fa7, 0x46b6, 0x3fa6, 0x46c3, 0x3fa4, 0x46cf, 0x3fa3,
0x46dc, 0x3fa2, 0x46e8, 0x3fa0, 0x46f5, 0x3f9f, 0x4701, 0x3f9e,
0x470e, 0x3f9c, 0x471a, 0x3f9b, 0x4727, 0x3f99, 0x4733, 0x3f98,
0x4740, 0x3f97, 0x474c, 0x3f95, 0x4759, 0x3f94, 0x4765, 0x3f92,
0x4772, 0x3f91, 0x477e, 0x3f8f, 0x478b, 0x3f8e, 0x4797, 0x3f8c,
0x47a4, 0x3f8b, 0x47b0, 0x3f89, 0x47bd, 0x3f88, 0x47c9, 0x3f86,
0x47d6, 0x3f85, 0x47e2, 0x3f83, 0x47ef, 0x3f82, 0x47fb, 0x3f80,
0x4807, 0x3f7f, 0x4814, 0x3f7d, 0x4820, 0x3f7b, 0x482d, 0x3f7a,
0x4839, 0x3f78, 0x4846, 0x3f77, 0x4852, 0x3f75, 0x485f, 0x3f73,
0x486b, 0x3f72, 0x4878, 0x3f70, 0x4884, 0x3f6e, 0x4891, 0x3f6d,
0x489d, 0x3f6b, 0x48a9, 0x3f69, 0x48b6, 0x3f68, 0x48c2, 0x3f66,
0x48cf, 0x3f64, 0x48db, 0x3f62, 0x48e8, 0x3f61, 0x48f4, 0x3f5f,
0x4901, 0x3f5d, 0x490d, 0x3f5b, 0x4919, 0x3f5a, 0x4926, 0x3f58,
0x4932, 0x3f56, 0x493f, 0x3f54, 0x494b, 0x3f52, 0x4958, 0x3f51,
0x4964, 0x3f4f, 0x4970, 0x3f4d, 0x497d, 0x3f4b, 0x4989, 0x3f49,
0x4996, 0x3f47, 0x49a2, 0x3f45, 0x49af, 0x3f43, 0x49bb, 0x3f42,
0x49c7, 0x3f40, 0x49d4, 0x3f3e, 0x49e0, 0x3f3c, 0x49ed, 0x3f3a,
0x49f9, 0x3f38, 0x4a06, 0x3f36, 0x4a12, 0x3f34, 0x4a1e, 0x3f32,
0x4a2b, 0x3f30, 0x4a37, 0x3f2e, 0x4a44, 0x3f2c, 0x4a50, 0x3f2a,
0x4a5c, 0x3f28, 0x4a69, 0x3f26, 0x4a75, 0x3f24, 0x4a82, 0x3f22,
0x4a8e, 0x3f20, 0x4a9a, 0x3f1e, 0x4aa7, 0x3f1c, 0x4ab3, 0x3f19,
0x4ac0, 0x3f17, 0x4acc, 0x3f15, 0x4ad8, 0x3f13, 0x4ae5, 0x3f11,
0x4af1, 0x3f0f, 0x4afd, 0x3f0d, 0x4b0a, 0x3f0a, 0x4b16, 0x3f08,
0x4b23, 0x3f06, 0x4b2f, 0x3f04, 0x4b3b, 0x3f02, 0x4b48, 0x3f00,
0x4b54, 0x3efd, 0x4b60, 0x3efb, 0x4b6d, 0x3ef9, 0x4b79, 0x3ef7,
0x4b85, 0x3ef4, 0x4b92, 0x3ef2, 0x4b9e, 0x3ef0, 0x4bab, 0x3eed,
0x4bb7, 0x3eeb, 0x4bc3, 0x3ee9, 0x4bd0, 0x3ee7, 0x4bdc, 0x3ee4,
0x4be8, 0x3ee2, 0x4bf5, 0x3ee0, 0x4c01, 0x3edd, 0x4c0d, 0x3edb,
0x4c1a, 0x3ed8, 0x4c26, 0x3ed6, 0x4c32, 0x3ed4, 0x4c3f, 0x3ed1,
0x4c4b, 0x3ecf, 0x4c57, 0x3ecc, 0x4c64, 0x3eca, 0x4c70, 0x3ec8,
0x4c7c, 0x3ec5, 0x4c89, 0x3ec3, 0x4c95, 0x3ec0, 0x4ca1, 0x3ebe,
0x4cae, 0x3ebb, 0x4cba, 0x3eb9, 0x4cc6, 0x3eb6, 0x4cd3, 0x3eb4,
0x4cdf, 0x3eb1, 0x4ceb, 0x3eaf, 0x4cf8, 0x3eac, 0x4d04, 0x3eaa,
0x4d10, 0x3ea7, 0x4d1c, 0x3ea5, 0x4d29, 0x3ea2, 0x4d35, 0x3e9f,
0x4d41, 0x3e9d, 0x4d4e, 0x3e9a, 0x4d5a, 0x3e98, 0x4d66, 0x3e95,
0x4d72, 0x3e92, 0x4d7f, 0x3e90, 0x4d8b, 0x3e8d, 0x4d97, 0x3e8a,
0x4da4, 0x3e88, 0x4db0, 0x3e85, 0x4dbc, 0x3e82, 0x4dc8, 0x3e80,
0x4dd5, 0x3e7d, 0x4de1, 0x3e7a, 0x4ded, 0x3e77, 0x4df9, 0x3e75,
0x4e06, 0x3e72, 0x4e12, 0x3e6f, 0x4e1e, 0x3e6c, 0x4e2b, 0x3e6a,
0x4e37, 0x3e67, 0x4e43, 0x3e64, 0x4e4f, 0x3e61, 0x4e5c, 0x3e5e,
0x4e68, 0x3e5c, 0x4e74, 0x3e59, 0x4e80, 0x3e56, 0x4e8c, 0x3e53,
0x4e99, 0x3e50, 0x4ea5, 0x3e4d, 0x4eb1, 0x3e4a, 0x4ebd, 0x3e48,
0x4eca, 0x3e45, 0x4ed6, 0x3e42, 0x4ee2, 0x3e3f, 0x4eee, 0x3e3c,
0x4efb, 0x3e39, 0x4f07, 0x3e36, 0x4f13, 0x3e33, 0x4f1f, 0x3e30,
0x4f2b, 0x3e2d, 0x4f38, 0x3e2a, 0x4f44, 0x3e27, 0x4f50, 0x3e24,
0x4f5c, 0x3e21, 0x4f68, 0x3e1e, 0x4f75, 0x3e1b, 0x4f81, 0x3e18,
0x4f8d, 0x3e15, 0x4f99, 0x3e12, 0x4fa5, 0x3e0f, 0x4fb2, 0x3e0c,
0x4fbe, 0x3e09, 0x4fca, 0x3e06, 0x4fd6, 0x3e03, 0x4fe2, 0x3dff,
0x4fee, 0x3dfc, 0x4ffb, 0x3df9, 0x5007, 0x3df6, 0x5013, 0x3df3,
0x501f, 0x3df0, 0x502b, 0x3ded, 0x5037, 0x3de9, 0x5044, 0x3de6,
0x5050, 0x3de3, 0x505c, 0x3de0, 0x5068, 0x3ddd, 0x5074, 0x3dd9,
0x5080, 0x3dd6, 0x508c, 0x3dd3, 0x5099, 0x3dd0, 0x50a5, 0x3dcc,
0x50b1, 0x3dc9, 0x50bd, 0x3dc6, 0x50c9, 0x3dc2, 0x50d5, 0x3dbf,
0x50e1, 0x3dbc, 0x50ed, 0x3db9, 0x50fa, 0x3db5, 0x5106, 0x3db2,
0x5112, 0x3daf, 0x511e, 0x3dab, 0x512a, 0x3da8, 0x5136, 0x3da4,
0x5142, 0x3da1, 0x514e, 0x3d9e, 0x515a, 0x3d9a, 0x5167, 0x3d97,
0x5173, 0x3d93, 0x517f, 0x3d90, 0x518b, 0x3d8d, 0x5197, 0x3d89,
0x51a3, 0x3d86, 0x51af, 0x3d82, 0x51bb, 0x3d7f, 0x51c7, 0x3d7b,
0x51d3, 0x3d78, 0x51df, 0x3d74, 0x51eb, 0x3d71, 0x51f7, 0x3d6d,
0x5204, 0x3d6a, 0x5210, 0x3d66, 0x521c, 0x3d63, 0x5228, 0x3d5f,
0x5234, 0x3d5b, 0x5240, 0x3d58, 0x524c, 0x3d54, 0x5258, 0x3d51,
0x5264, 0x3d4d, 0x5270, 0x3d49, 0x527c, 0x3d46, 0x5288, 0x3d42,
0x5294, 0x3d3f, 0x52a0, 0x3d3b, 0x52ac, 0x3d37, 0x52b8, 0x3d34,
0x52c4, 0x3d30, 0x52d0, 0x3d2c, 0x52dc, 0x3d28, 0x52e8, 0x3d25,
0x52f4, 0x3d21, 0x5300, 0x3d1d, 0x530c, 0x3d1a, 0x5318, 0x3d16,
0x5324, 0x3d12, 0x5330, 0x3d0e, 0x533c, 0x3d0b, 0x5348, 0x3d07,
0x5354, 0x3d03, 0x5360, 0x3cff, 0x536c, 0x3cfb, 0x5378, 0x3cf8,
0x5384, 0x3cf4, 0x5390, 0x3cf0, 0x539c, 0x3cec, 0x53a8, 0x3ce8,
0x53b4, 0x3ce4, 0x53c0, 0x3ce0, 0x53cc, 0x3cdd, 0x53d8, 0x3cd9,
0x53e4, 0x3cd5, 0x53f0, 0x3cd1, 0x53fb, 0x3ccd, 0x5407, 0x3cc9,
0x5413, 0x3cc5, 0x541f, 0x3cc1, 0x542b, 0x3cbd, 0x5437, 0x3cb9,
0x5443, 0x3cb5, 0x544f, 0x3cb1, 0x545b, 0x3cad, 0x5467, 0x3ca9,
0x5473, 0x3ca5, 0x547f, 0x3ca1, 0x548b, 0x3c9d, 0x5496, 0x3c99,
0x54a2, 0x3c95, 0x54ae, 0x3c91, 0x54ba, 0x3c8d, 0x54c6, 0x3c89,
0x54d2, 0x3c85, 0x54de, 0x3c81, 0x54ea, 0x3c7d, 0x54f6, 0x3c79,
0x5501, 0x3c74, 0x550d, 0x3c70, 0x5519, 0x3c6c, 0x5525, 0x3c68,
0x5531, 0x3c64, 0x553d, 0x3c60, 0x5549, 0x3c5b, 0x5554, 0x3c57,
0x5560, 0x3c53, 0x556c, 0x3c4f, 0x5578, 0x3c4b, 0x5584, 0x3c46,
0x5590, 0x3c42, 0x559b, 0x3c3e, 0x55a7, 0x3c3a, 0x55b3, 0x3c36,
0x55bf, 0x3c31, 0x55cb, 0x3c2d, 0x55d7, 0x3c29, 0x55e2, 0x3c24,
0x55ee, 0x3c20, 0x55fa, 0x3c1c, 0x5606, 0x3c17, 0x5612, 0x3c13,
0x561d, 0x3c0f, 0x5629, 0x3c0a, 0x5635, 0x3c06, 0x5641, 0x3c02,
0x564c, 0x3bfd, 0x5658, 0x3bf9, 0x5664, 0x3bf5, 0x5670, 0x3bf0,
0x567c, 0x3bec, 0x5687, 0x3be7, 0x5693, 0x3be3, 0x569f, 0x3bde,
0x56ab, 0x3bda, 0x56b6, 0x3bd6, 0x56c2, 0x3bd1, 0x56ce, 0x3bcd,
0x56da, 0x3bc8, 0x56e5, 0x3bc4, 0x56f1, 0x3bbf, 0x56fd, 0x3bbb,
0x5709, 0x3bb6, 0x5714, 0x3bb2, 0x5720, 0x3bad, 0x572c, 0x3ba9,
0x5737, 0x3ba4, 0x5743, 0x3b9f, 0x574f, 0x3b9b, 0x575b, 0x3b96,
0x5766, 0x3b92, 0x5772, 0x3b8d, 0x577e, 0x3b88, 0x5789, 0x3b84,
0x5795, 0x3b7f, 0x57a1, 0x3b7b, 0x57ac, 0x3b76, 0x57b8, 0x3b71,
0x57c4, 0x3b6d, 0x57cf, 0x3b68, 0x57db, 0x3b63, 0x57e7, 0x3b5f,
0x57f2, 0x3b5a, 0x57fe, 0x3b55, 0x580a, 0x3b50, 0x5815, 0x3b4c,
0x5821, 0x3b47, 0x582d, 0x3b42, 0x5838, 0x3b3e, 0x5844, 0x3b39,
0x584f, 0x3b34, 0x585b, 0x3b2f, 0x5867, 0x3b2a, 0x5872, 0x3b26,
0x587e, 0x3b21, 0x5889, 0x3b1c, 0x5895, 0x3b17, 0x58a1, 0x3b12,
0x58ac, 0x3b0e, 0x58b8, 0x3b09, 0x58c3, 0x3b04, 0x58cf, 0x3aff,
0x58db, 0x3afa, 0x58e6, 0x3af5, 0x58f2, 0x3af0, 0x58fd, 0x3aeb,
0x5909, 0x3ae6, 0x5914, 0x3ae2, 0x5920, 0x3add, 0x592c, 0x3ad8,
0x5937, 0x3ad3, 0x5943, 0x3ace, 0x594e, 0x3ac9, 0x595a, 0x3ac4,
0x5965, 0x3abf, 0x5971, 0x3aba, 0x597c, 0x3ab5, 0x5988, 0x3ab0,
0x5993, 0x3aab, 0x599f, 0x3aa6, 0x59aa, 0x3aa1, 0x59b6, 0x3a9c,
0x59c1, 0x3a97, 0x59cd, 0x3a92, 0x59d8, 0x3a8d, 0x59e4, 0x3a88,
0x59ef, 0x3a82, 0x59fb, 0x3a7d, 0x5a06, 0x3a78, 0x5a12, 0x3a73,
0x5a1d, 0x3a6e, 0x5a29, 0x3a69, 0x5a34, 0x3a64, 0x5a40, 0x3a5f,
0x5a4b, 0x3a59, 0x5a57, 0x3a54, 0x5a62, 0x3a4f, 0x5a6e, 0x3a4a,
0x5a79, 0x3a45, 0x5a84, 0x3a3f, 0x5a90, 0x3a3a, 0x5a9b, 0x3a35,
0x5aa7, 0x3a30, 0x5ab2, 0x3a2b, 0x5abe, 0x3a25, 0x5ac9, 0x3a20,
0x5ad4, 0x3a1b, 0x5ae0, 0x3a16, 0x5aeb, 0x3a10, 0x5af7, 0x3a0b,
0x5b02, 0x3a06, 0x5b0d, 0x3a00, 0x5b19, 0x39fb, 0x5b24, 0x39f6,
0x5b30, 0x39f0, 0x5b3b, 0x39eb, 0x5b46, 0x39e6, 0x5b52, 0x39e0,
0x5b5d, 0x39db, 0x5b68, 0x39d6, 0x5b74, 0x39d0, 0x5b7f, 0x39cb,
0x5b8a, 0x39c5, 0x5b96, 0x39c0, 0x5ba1, 0x39bb, 0x5bac, 0x39b5,
0x5bb8, 0x39b0, 0x5bc3, 0x39aa, 0x5bce, 0x39a5, 0x5bda, 0x399f,
0x5be5, 0x399a, 0x5bf0, 0x3994, 0x5bfc, 0x398f, 0x5c07, 0x3989,
0x5c12, 0x3984, 0x5c1e, 0x397e, 0x5c29, 0x3979, 0x5c34, 0x3973,
0x5c3f, 0x396e, 0x5c4b, 0x3968, 0x5c56, 0x3963, 0x5c61, 0x395d,
0x5c6c, 0x3958, 0x5c78, 0x3952, 0x5c83, 0x394c, 0x5c8e, 0x3947,
0x5c99, 0x3941, 0x5ca5, 0x393b, 0x5cb0, 0x3936, 0x5cbb, 0x3930,
0x5cc6, 0x392b, 0x5cd2, 0x3925, 0x5cdd, 0x391f, 0x5ce8, 0x391a,
0x5cf3, 0x3914, 0x5cff, 0x390e, 0x5d0a, 0x3909, 0x5d15, 0x3903,
0x5d20, 0x38fd, 0x5d2b, 0x38f7, 0x5d36, 0x38f2, 0x5d42, 0x38ec,
0x5d4d, 0x38e6, 0x5d58, 0x38e0, 0x5d63, 0x38db, 0x5d6e, 0x38d5,
0x5d79, 0x38cf, 0x5d85, 0x38c9, 0x5d90, 0x38c3, 0x5d9b, 0x38be,
0x5da6, 0x38b8, 0x5db1, 0x38b2, 0x5dbc, 0x38ac, 0x5dc7, 0x38a6,
0x5dd3, 0x38a1, 0x5dde, 0x389b, 0x5de9, 0x3895, 0x5df4, 0x388f,
0x5dff, 0x3889, 0x5e0a, 0x3883, 0x5e15, 0x387d, 0x5e20, 0x3877,
0x5e2b, 0x3871, 0x5e36, 0x386b, 0x5e42, 0x3866, 0x5e4d, 0x3860,
0x5e58, 0x385a, 0x5e63, 0x3854, 0x5e6e, 0x384e, 0x5e79, 0x3848,
0x5e84, 0x3842, 0x5e8f, 0x383c, 0x5e9a, 0x3836, 0x5ea5, 0x3830,
0x5eb0, 0x382a, 0x5ebb, 0x3824, 0x5ec6, 0x381e, 0x5ed1, 0x3818,
0x5edc, 0x3812, 0x5ee7, 0x380b, 0x5ef2, 0x3805, 0x5efd, 0x37ff,
0x5f08, 0x37f9, 0x5f13, 0x37f3, 0x5f1e, 0x37ed, 0x5f29, 0x37e7,
0x5f34, 0x37e1, 0x5f3f, 0x37db, 0x5f4a, 0x37d5, 0x5f55, 0x37ce,
0x5f60, 0x37c8, 0x5f6b, 0x37c2, 0x5f76, 0x37bc, 0x5f81, 0x37b6,
0x5f8c, 0x37b0, 0x5f97, 0x37a9, 0x5fa2, 0x37a3, 0x5fac, 0x379d,
0x5fb7, 0x3797, 0x5fc2, 0x3790, 0x5fcd, 0x378a, 0x5fd8, 0x3784,
0x5fe3, 0x377e, 0x5fee, 0x3777, 0x5ff9, 0x3771, 0x6004, 0x376b,
0x600f, 0x3765, 0x6019, 0x375e, 0x6024, 0x3758, 0x602f, 0x3752,
0x603a, 0x374b, 0x6045, 0x3745, 0x6050, 0x373f, 0x605b, 0x3738,
0x6065, 0x3732, 0x6070, 0x372c, 0x607b, 0x3725, 0x6086, 0x371f,
0x6091, 0x3718, 0x609b, 0x3712, 0x60a6, 0x370c, 0x60b1, 0x3705,
0x60bc, 0x36ff, 0x60c7, 0x36f8, 0x60d1, 0x36f2, 0x60dc, 0x36eb,
0x60e7, 0x36e5, 0x60f2, 0x36df, 0x60fd, 0x36d8, 0x6107, 0x36d2,
0x6112, 0x36cb, 0x611d, 0x36c5, 0x6128, 0x36be, 0x6132, 0x36b8,
0x613d, 0x36b1, 0x6148, 0x36ab, 0x6153, 0x36a4, 0x615d, 0x369d,
0x6168, 0x3697, 0x6173, 0x3690, 0x617d, 0x368a, 0x6188, 0x3683,
0x6193, 0x367d, 0x619e, 0x3676, 0x61a8, 0x366f, 0x61b3, 0x3669,
0x61be, 0x3662, 0x61c8, 0x365c, 0x61d3, 0x3655, 0x61de, 0x364e,
0x61e8, 0x3648, 0x61f3, 0x3641, 0x61fe, 0x363a, 0x6208, 0x3634,
0x6213, 0x362d, 0x621e, 0x3626, 0x6228, 0x3620, 0x6233, 0x3619,
0x623d, 0x3612, 0x6248, 0x360b, 0x6253, 0x3605, 0x625d, 0x35fe,
0x6268, 0x35f7, 0x6272, 0x35f0, 0x627d, 0x35ea, 0x6288, 0x35e3,
0x6292, 0x35dc, 0x629d, 0x35d5, 0x62a7, 0x35ce, 0x62b2, 0x35c8,
0x62bc, 0x35c1, 0x62c7, 0x35ba, 0x62d2, 0x35b3, 0x62dc, 0x35ac,
0x62e7, 0x35a5, 0x62f1, 0x359f, 0x62fc, 0x3598, 0x6306, 0x3591,
0x6311, 0x358a, 0x631b, 0x3583, 0x6326, 0x357c, 0x6330, 0x3575,
0x633b, 0x356e, 0x6345, 0x3567, 0x6350, 0x3561, 0x635a, 0x355a,
0x6365, 0x3553, 0x636f, 0x354c, 0x637a, 0x3545, 0x6384, 0x353e,
0x638e, 0x3537, 0x6399, 0x3530, 0x63a3, 0x3529, 0x63ae, 0x3522,
0x63b8, 0x351b, 0x63c3, 0x3514, 0x63cd, 0x350d, 0x63d7, 0x3506,
0x63e2, 0x34ff, 0x63ec, 0x34f8, 0x63f7, 0x34f1, 0x6401, 0x34ea,
0x640b, 0x34e2, 0x6416, 0x34db, 0x6420, 0x34d4, 0x642b, 0x34cd,
0x6435, 0x34c6, 0x643f, 0x34bf, 0x644a, 0x34b8, 0x6454, 0x34b1,
0x645e, 0x34aa, 0x6469, 0x34a2, 0x6473, 0x349b, 0x647d, 0x3494,
0x6488, 0x348d, 0x6492, 0x3486, 0x649c, 0x347f, 0x64a7, 0x3477,
0x64b1, 0x3470, 0x64bb, 0x3469, 0x64c5, 0x3462, 0x64d0, 0x345b,
0x64da, 0x3453, 0x64e4, 0x344c, 0x64ef, 0x3445, 0x64f9, 0x343e,
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0x652c, 0x3419, 0x6536, 0x3412, 0x6541, 0x340b, 0x654b, 0x3403,
0x6555, 0x33fc, 0x655f, 0x33f5, 0x6569, 0x33ed, 0x6574, 0x33e6,
0x657e, 0x33df, 0x6588, 0x33d7, 0x6592, 0x33d0, 0x659c, 0x33c8,
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0x65cf, 0x33a3, 0x65d9, 0x339c, 0x65e3, 0x3395, 0x65ed, 0x338d,
0x65f8, 0x3386, 0x6602, 0x337e, 0x660c, 0x3377, 0x6616, 0x336f,
0x6620, 0x3368, 0x662a, 0x3360, 0x6634, 0x3359, 0x663e, 0x3351,
0x6648, 0x334a, 0x6652, 0x3342, 0x665c, 0x333b, 0x6666, 0x3333,
0x6671, 0x332c, 0x667b, 0x3324, 0x6685, 0x331d, 0x668f, 0x3315,
0x6699, 0x330d, 0x66a3, 0x3306, 0x66ad, 0x32fe, 0x66b7, 0x32f7,
0x66c1, 0x32ef, 0x66cb, 0x32e7, 0x66d5, 0x32e0, 0x66df, 0x32d8,
0x66e9, 0x32d0, 0x66f3, 0x32c9, 0x66fd, 0x32c1, 0x6707, 0x32ba,
0x6711, 0x32b2, 0x671a, 0x32aa, 0x6724, 0x32a3, 0x672e, 0x329b,
0x6738, 0x3293, 0x6742, 0x328b, 0x674c, 0x3284, 0x6756, 0x327c,
0x6760, 0x3274, 0x676a, 0x326d, 0x6774, 0x3265, 0x677e, 0x325d,
0x6788, 0x3255, 0x6791, 0x324e, 0x679b, 0x3246, 0x67a5, 0x323e,
0x67af, 0x3236, 0x67b9, 0x322e, 0x67c3, 0x3227, 0x67cd, 0x321f,
0x67d6, 0x3217, 0x67e0, 0x320f, 0x67ea, 0x3207, 0x67f4, 0x31ff,
0x67fe, 0x31f8, 0x6808, 0x31f0, 0x6811, 0x31e8, 0x681b, 0x31e0,
0x6825, 0x31d8, 0x682f, 0x31d0, 0x6838, 0x31c8, 0x6842, 0x31c0,
0x684c, 0x31b9, 0x6856, 0x31b1, 0x6860, 0x31a9, 0x6869, 0x31a1,
0x6873, 0x3199, 0x687d, 0x3191, 0x6886, 0x3189, 0x6890, 0x3181,
0x689a, 0x3179, 0x68a4, 0x3171, 0x68ad, 0x3169, 0x68b7, 0x3161,
0x68c1, 0x3159, 0x68ca, 0x3151, 0x68d4, 0x3149, 0x68de, 0x3141,
0x68e7, 0x3139, 0x68f1, 0x3131, 0x68fb, 0x3129, 0x6904, 0x3121,
0x690e, 0x3119, 0x6918, 0x3111, 0x6921, 0x3109, 0x692b, 0x3101,
0x6935, 0x30f9, 0x693e, 0x30f0, 0x6948, 0x30e8, 0x6951, 0x30e0,
0x695b, 0x30d8, 0x6965, 0x30d0, 0x696e, 0x30c8, 0x6978, 0x30c0,
0x6981, 0x30b8, 0x698b, 0x30af, 0x6994, 0x30a7, 0x699e, 0x309f,
0x69a7, 0x3097, 0x69b1, 0x308f, 0x69bb, 0x3087, 0x69c4, 0x307e,
0x69ce, 0x3076, 0x69d7, 0x306e, 0x69e1, 0x3066, 0x69ea, 0x305d,
0x69f4, 0x3055, 0x69fd, 0x304d, 0x6a07, 0x3045, 0x6a10, 0x303c,
0x6a1a, 0x3034, 0x6a23, 0x302c, 0x6a2c, 0x3024, 0x6a36, 0x301b,
0x6a3f, 0x3013, 0x6a49, 0x300b, 0x6a52, 0x3002, 0x6a5c, 0x2ffa,
0x6a65, 0x2ff2, 0x6a6e, 0x2fea, 0x6a78, 0x2fe1, 0x6a81, 0x2fd9,
0x6a8b, 0x2fd0, 0x6a94, 0x2fc8, 0x6a9d, 0x2fc0, 0x6aa7, 0x2fb7,
0x6ab0, 0x2faf, 0x6ab9, 0x2fa7, 0x6ac3, 0x2f9e, 0x6acc, 0x2f96,
0x6ad6, 0x2f8d, 0x6adf, 0x2f85, 0x6ae8, 0x2f7d, 0x6af2, 0x2f74,
0x6afb, 0x2f6c, 0x6b04, 0x2f63, 0x6b0d, 0x2f5b, 0x6b17, 0x2f52,
0x6b20, 0x2f4a, 0x6b29, 0x2f41, 0x6b33, 0x2f39, 0x6b3c, 0x2f30,
0x6b45, 0x2f28, 0x6b4e, 0x2f20, 0x6b58, 0x2f17, 0x6b61, 0x2f0e,
0x6b6a, 0x2f06, 0x6b73, 0x2efd, 0x6b7d, 0x2ef5, 0x6b86, 0x2eec,
0x6b8f, 0x2ee4, 0x6b98, 0x2edb, 0x6ba1, 0x2ed3, 0x6bab, 0x2eca,
0x6bb4, 0x2ec2, 0x6bbd, 0x2eb9, 0x6bc6, 0x2eb0, 0x6bcf, 0x2ea8,
0x6bd8, 0x2e9f, 0x6be2, 0x2e97, 0x6beb, 0x2e8e, 0x6bf4, 0x2e85,
0x6bfd, 0x2e7d, 0x6c06, 0x2e74, 0x6c0f, 0x2e6b, 0x6c18, 0x2e63,
0x6c21, 0x2e5a, 0x6c2b, 0x2e51, 0x6c34, 0x2e49, 0x6c3d, 0x2e40,
0x6c46, 0x2e37, 0x6c4f, 0x2e2f, 0x6c58, 0x2e26, 0x6c61, 0x2e1d,
0x6c6a, 0x2e15, 0x6c73, 0x2e0c, 0x6c7c, 0x2e03, 0x6c85, 0x2dfa,
0x6c8e, 0x2df2, 0x6c97, 0x2de9, 0x6ca0, 0x2de0, 0x6ca9, 0x2dd7,
0x6cb2, 0x2dcf, 0x6cbb, 0x2dc6, 0x6cc4, 0x2dbd, 0x6ccd, 0x2db4,
0x6cd6, 0x2dab, 0x6cdf, 0x2da3, 0x6ce8, 0x2d9a, 0x6cf1, 0x2d91,
0x6cfa, 0x2d88, 0x6d03, 0x2d7f, 0x6d0c, 0x2d76, 0x6d15, 0x2d6e,
0x6d1e, 0x2d65, 0x6d27, 0x2d5c, 0x6d2f, 0x2d53, 0x6d38, 0x2d4a,
0x6d41, 0x2d41, 0x6d4a, 0x2d38, 0x6d53, 0x2d2f, 0x6d5c, 0x2d27,
0x6d65, 0x2d1e, 0x6d6e, 0x2d15, 0x6d76, 0x2d0c, 0x6d7f, 0x2d03,
0x6d88, 0x2cfa, 0x6d91, 0x2cf1, 0x6d9a, 0x2ce8, 0x6da3, 0x2cdf,
0x6dab, 0x2cd6, 0x6db4, 0x2ccd, 0x6dbd, 0x2cc4, 0x6dc6, 0x2cbb,
0x6dcf, 0x2cb2, 0x6dd7, 0x2ca9, 0x6de0, 0x2ca0, 0x6de9, 0x2c97,
0x6df2, 0x2c8e, 0x6dfa, 0x2c85, 0x6e03, 0x2c7c, 0x6e0c, 0x2c73,
0x6e15, 0x2c6a, 0x6e1d, 0x2c61, 0x6e26, 0x2c58, 0x6e2f, 0x2c4f,
0x6e37, 0x2c46, 0x6e40, 0x2c3d, 0x6e49, 0x2c34, 0x6e51, 0x2c2b,
0x6e5a, 0x2c21, 0x6e63, 0x2c18, 0x6e6b, 0x2c0f, 0x6e74, 0x2c06,
0x6e7d, 0x2bfd, 0x6e85, 0x2bf4, 0x6e8e, 0x2beb, 0x6e97, 0x2be2,
0x6e9f, 0x2bd8, 0x6ea8, 0x2bcf, 0x6eb0, 0x2bc6, 0x6eb9, 0x2bbd,
0x6ec2, 0x2bb4, 0x6eca, 0x2bab, 0x6ed3, 0x2ba1, 0x6edb, 0x2b98,
0x6ee4, 0x2b8f, 0x6eec, 0x2b86, 0x6ef5, 0x2b7d, 0x6efd, 0x2b73,
0x6f06, 0x2b6a, 0x6f0e, 0x2b61, 0x6f17, 0x2b58, 0x6f20, 0x2b4e,
0x6f28, 0x2b45, 0x6f30, 0x2b3c, 0x6f39, 0x2b33, 0x6f41, 0x2b29,
0x6f4a, 0x2b20, 0x6f52, 0x2b17, 0x6f5b, 0x2b0d, 0x6f63, 0x2b04,
0x6f6c, 0x2afb, 0x6f74, 0x2af2, 0x6f7d, 0x2ae8, 0x6f85, 0x2adf,
0x6f8d, 0x2ad6, 0x6f96, 0x2acc, 0x6f9e, 0x2ac3, 0x6fa7, 0x2ab9,
0x6faf, 0x2ab0, 0x6fb7, 0x2aa7, 0x6fc0, 0x2a9d, 0x6fc8, 0x2a94,
0x6fd0, 0x2a8b, 0x6fd9, 0x2a81, 0x6fe1, 0x2a78, 0x6fea, 0x2a6e,
0x6ff2, 0x2a65, 0x6ffa, 0x2a5c, 0x7002, 0x2a52, 0x700b, 0x2a49,
0x7013, 0x2a3f, 0x701b, 0x2a36, 0x7024, 0x2a2c, 0x702c, 0x2a23,
0x7034, 0x2a1a, 0x703c, 0x2a10, 0x7045, 0x2a07, 0x704d, 0x29fd,
0x7055, 0x29f4, 0x705d, 0x29ea, 0x7066, 0x29e1, 0x706e, 0x29d7,
0x7076, 0x29ce, 0x707e, 0x29c4, 0x7087, 0x29bb, 0x708f, 0x29b1,
0x7097, 0x29a7, 0x709f, 0x299e, 0x70a7, 0x2994, 0x70af, 0x298b,
0x70b8, 0x2981, 0x70c0, 0x2978, 0x70c8, 0x296e, 0x70d0, 0x2965,
0x70d8, 0x295b, 0x70e0, 0x2951, 0x70e8, 0x2948, 0x70f0, 0x293e,
0x70f9, 0x2935, 0x7101, 0x292b, 0x7109, 0x2921, 0x7111, 0x2918,
0x7119, 0x290e, 0x7121, 0x2904, 0x7129, 0x28fb, 0x7131, 0x28f1,
0x7139, 0x28e7, 0x7141, 0x28de, 0x7149, 0x28d4, 0x7151, 0x28ca,
0x7159, 0x28c1, 0x7161, 0x28b7, 0x7169, 0x28ad, 0x7171, 0x28a4,
0x7179, 0x289a, 0x7181, 0x2890, 0x7189, 0x2886, 0x7191, 0x287d,
0x7199, 0x2873, 0x71a1, 0x2869, 0x71a9, 0x2860, 0x71b1, 0x2856,
0x71b9, 0x284c, 0x71c0, 0x2842, 0x71c8, 0x2838, 0x71d0, 0x282f,
0x71d8, 0x2825, 0x71e0, 0x281b, 0x71e8, 0x2811, 0x71f0, 0x2808,
0x71f8, 0x27fe, 0x71ff, 0x27f4, 0x7207, 0x27ea, 0x720f, 0x27e0,
0x7217, 0x27d6, 0x721f, 0x27cd, 0x7227, 0x27c3, 0x722e, 0x27b9,
0x7236, 0x27af, 0x723e, 0x27a5, 0x7246, 0x279b, 0x724e, 0x2791,
0x7255, 0x2788, 0x725d, 0x277e, 0x7265, 0x2774, 0x726d, 0x276a,
0x7274, 0x2760, 0x727c, 0x2756, 0x7284, 0x274c, 0x728b, 0x2742,
0x7293, 0x2738, 0x729b, 0x272e, 0x72a3, 0x2724, 0x72aa, 0x271a,
0x72b2, 0x2711, 0x72ba, 0x2707, 0x72c1, 0x26fd, 0x72c9, 0x26f3,
0x72d0, 0x26e9, 0x72d8, 0x26df, 0x72e0, 0x26d5, 0x72e7, 0x26cb,
0x72ef, 0x26c1, 0x72f7, 0x26b7, 0x72fe, 0x26ad, 0x7306, 0x26a3,
0x730d, 0x2699, 0x7315, 0x268f, 0x731d, 0x2685, 0x7324, 0x267b,
0x732c, 0x2671, 0x7333, 0x2666, 0x733b, 0x265c, 0x7342, 0x2652,
0x734a, 0x2648, 0x7351, 0x263e, 0x7359, 0x2634, 0x7360, 0x262a,
0x7368, 0x2620, 0x736f, 0x2616, 0x7377, 0x260c, 0x737e, 0x2602,
0x7386, 0x25f8, 0x738d, 0x25ed, 0x7395, 0x25e3, 0x739c, 0x25d9,
0x73a3, 0x25cf, 0x73ab, 0x25c5, 0x73b2, 0x25bb, 0x73ba, 0x25b1,
0x73c1, 0x25a6, 0x73c8, 0x259c, 0x73d0, 0x2592, 0x73d7, 0x2588,
0x73df, 0x257e, 0x73e6, 0x2574, 0x73ed, 0x2569, 0x73f5, 0x255f,
0x73fc, 0x2555, 0x7403, 0x254b, 0x740b, 0x2541, 0x7412, 0x2536,
0x7419, 0x252c, 0x7420, 0x2522, 0x7428, 0x2518, 0x742f, 0x250d,
0x7436, 0x2503, 0x743e, 0x24f9, 0x7445, 0x24ef, 0x744c, 0x24e4,
0x7453, 0x24da, 0x745b, 0x24d0, 0x7462, 0x24c5, 0x7469, 0x24bb,
0x7470, 0x24b1, 0x7477, 0x24a7, 0x747f, 0x249c, 0x7486, 0x2492,
0x748d, 0x2488, 0x7494, 0x247d, 0x749b, 0x2473, 0x74a2, 0x2469,
0x74aa, 0x245e, 0x74b1, 0x2454, 0x74b8, 0x244a, 0x74bf, 0x243f,
0x74c6, 0x2435, 0x74cd, 0x242b, 0x74d4, 0x2420, 0x74db, 0x2416,
0x74e2, 0x240b, 0x74ea, 0x2401, 0x74f1, 0x23f7, 0x74f8, 0x23ec,
0x74ff, 0x23e2, 0x7506, 0x23d7, 0x750d, 0x23cd, 0x7514, 0x23c3,
0x751b, 0x23b8, 0x7522, 0x23ae, 0x7529, 0x23a3, 0x7530, 0x2399,
0x7537, 0x238e, 0x753e, 0x2384, 0x7545, 0x237a, 0x754c, 0x236f,
0x7553, 0x2365, 0x755a, 0x235a, 0x7561, 0x2350, 0x7567, 0x2345,
0x756e, 0x233b, 0x7575, 0x2330, 0x757c, 0x2326, 0x7583, 0x231b,
0x758a, 0x2311, 0x7591, 0x2306, 0x7598, 0x22fc, 0x759f, 0x22f1,
0x75a5, 0x22e7, 0x75ac, 0x22dc, 0x75b3, 0x22d2, 0x75ba, 0x22c7,
0x75c1, 0x22bc, 0x75c8, 0x22b2, 0x75ce, 0x22a7, 0x75d5, 0x229d,
0x75dc, 0x2292, 0x75e3, 0x2288, 0x75ea, 0x227d, 0x75f0, 0x2272,
0x75f7, 0x2268, 0x75fe, 0x225d, 0x7605, 0x2253, 0x760b, 0x2248,
0x7612, 0x223d, 0x7619, 0x2233, 0x7620, 0x2228, 0x7626, 0x221e,
0x762d, 0x2213, 0x7634, 0x2208, 0x763a, 0x21fe, 0x7641, 0x21f3,
0x7648, 0x21e8, 0x764e, 0x21de, 0x7655, 0x21d3, 0x765c, 0x21c8,
0x7662, 0x21be, 0x7669, 0x21b3, 0x766f, 0x21a8, 0x7676, 0x219e,
0x767d, 0x2193, 0x7683, 0x2188, 0x768a, 0x217d, 0x7690, 0x2173,
0x7697, 0x2168, 0x769d, 0x215d, 0x76a4, 0x2153, 0x76ab, 0x2148,
0x76b1, 0x213d, 0x76b8, 0x2132, 0x76be, 0x2128, 0x76c5, 0x211d,
0x76cb, 0x2112, 0x76d2, 0x2107, 0x76d8, 0x20fd, 0x76df, 0x20f2,
0x76e5, 0x20e7, 0x76eb, 0x20dc, 0x76f2, 0x20d1, 0x76f8, 0x20c7,
0x76ff, 0x20bc, 0x7705, 0x20b1, 0x770c, 0x20a6, 0x7712, 0x209b,
0x7718, 0x2091, 0x771f, 0x2086, 0x7725, 0x207b, 0x772c, 0x2070,
0x7732, 0x2065, 0x7738, 0x205b, 0x773f, 0x2050, 0x7745, 0x2045,
0x774b, 0x203a, 0x7752, 0x202f, 0x7758, 0x2024, 0x775e, 0x2019,
0x7765, 0x200f, 0x776b, 0x2004, 0x7771, 0x1ff9, 0x7777, 0x1fee,
0x777e, 0x1fe3, 0x7784, 0x1fd8, 0x778a, 0x1fcd, 0x7790, 0x1fc2,
0x7797, 0x1fb7, 0x779d, 0x1fac, 0x77a3, 0x1fa2, 0x77a9, 0x1f97,
0x77b0, 0x1f8c, 0x77b6, 0x1f81, 0x77bc, 0x1f76, 0x77c2, 0x1f6b,
0x77c8, 0x1f60, 0x77ce, 0x1f55, 0x77d5, 0x1f4a, 0x77db, 0x1f3f,
0x77e1, 0x1f34, 0x77e7, 0x1f29, 0x77ed, 0x1f1e, 0x77f3, 0x1f13,
0x77f9, 0x1f08, 0x77ff, 0x1efd, 0x7805, 0x1ef2, 0x780b, 0x1ee7,
0x7812, 0x1edc, 0x7818, 0x1ed1, 0x781e, 0x1ec6, 0x7824, 0x1ebb,
0x782a, 0x1eb0, 0x7830, 0x1ea5, 0x7836, 0x1e9a, 0x783c, 0x1e8f,
0x7842, 0x1e84, 0x7848, 0x1e79, 0x784e, 0x1e6e, 0x7854, 0x1e63,
0x785a, 0x1e58, 0x7860, 0x1e4d, 0x7866, 0x1e42, 0x786b, 0x1e36,
0x7871, 0x1e2b, 0x7877, 0x1e20, 0x787d, 0x1e15, 0x7883, 0x1e0a,
0x7889, 0x1dff, 0x788f, 0x1df4, 0x7895, 0x1de9, 0x789b, 0x1dde,
0x78a1, 0x1dd3, 0x78a6, 0x1dc7, 0x78ac, 0x1dbc, 0x78b2, 0x1db1,
0x78b8, 0x1da6, 0x78be, 0x1d9b, 0x78c3, 0x1d90, 0x78c9, 0x1d85,
0x78cf, 0x1d79, 0x78d5, 0x1d6e, 0x78db, 0x1d63, 0x78e0, 0x1d58,
0x78e6, 0x1d4d, 0x78ec, 0x1d42, 0x78f2, 0x1d36, 0x78f7, 0x1d2b,
0x78fd, 0x1d20, 0x7903, 0x1d15, 0x7909, 0x1d0a, 0x790e, 0x1cff,
0x7914, 0x1cf3, 0x791a, 0x1ce8, 0x791f, 0x1cdd, 0x7925, 0x1cd2,
0x792b, 0x1cc6, 0x7930, 0x1cbb, 0x7936, 0x1cb0, 0x793b, 0x1ca5,
0x7941, 0x1c99, 0x7947, 0x1c8e, 0x794c, 0x1c83, 0x7952, 0x1c78,
0x7958, 0x1c6c, 0x795d, 0x1c61, 0x7963, 0x1c56, 0x7968, 0x1c4b,
0x796e, 0x1c3f, 0x7973, 0x1c34, 0x7979, 0x1c29, 0x797e, 0x1c1e,
0x7984, 0x1c12, 0x7989, 0x1c07, 0x798f, 0x1bfc, 0x7994, 0x1bf0,
0x799a, 0x1be5, 0x799f, 0x1bda, 0x79a5, 0x1bce, 0x79aa, 0x1bc3,
0x79b0, 0x1bb8, 0x79b5, 0x1bac, 0x79bb, 0x1ba1, 0x79c0, 0x1b96,
0x79c5, 0x1b8a, 0x79cb, 0x1b7f, 0x79d0, 0x1b74, 0x79d6, 0x1b68,
0x79db, 0x1b5d, 0x79e0, 0x1b52, 0x79e6, 0x1b46, 0x79eb, 0x1b3b,
0x79f0, 0x1b30, 0x79f6, 0x1b24, 0x79fb, 0x1b19, 0x7a00, 0x1b0d,
0x7a06, 0x1b02, 0x7a0b, 0x1af7, 0x7a10, 0x1aeb, 0x7a16, 0x1ae0,
0x7a1b, 0x1ad4, 0x7a20, 0x1ac9, 0x7a25, 0x1abe, 0x7a2b, 0x1ab2,
0x7a30, 0x1aa7, 0x7a35, 0x1a9b, 0x7a3a, 0x1a90, 0x7a3f, 0x1a84,
0x7a45, 0x1a79, 0x7a4a, 0x1a6e, 0x7a4f, 0x1a62, 0x7a54, 0x1a57,
0x7a59, 0x1a4b, 0x7a5f, 0x1a40, 0x7a64, 0x1a34, 0x7a69, 0x1a29,
0x7a6e, 0x1a1d, 0x7a73, 0x1a12, 0x7a78, 0x1a06, 0x7a7d, 0x19fb,
0x7a82, 0x19ef, 0x7a88, 0x19e4, 0x7a8d, 0x19d8, 0x7a92, 0x19cd,
0x7a97, 0x19c1, 0x7a9c, 0x19b6, 0x7aa1, 0x19aa, 0x7aa6, 0x199f,
0x7aab, 0x1993, 0x7ab0, 0x1988, 0x7ab5, 0x197c, 0x7aba, 0x1971,
0x7abf, 0x1965, 0x7ac4, 0x195a, 0x7ac9, 0x194e, 0x7ace, 0x1943,
0x7ad3, 0x1937, 0x7ad8, 0x192c, 0x7add, 0x1920, 0x7ae2, 0x1914,
0x7ae6, 0x1909, 0x7aeb, 0x18fd, 0x7af0, 0x18f2, 0x7af5, 0x18e6,
0x7afa, 0x18db, 0x7aff, 0x18cf, 0x7b04, 0x18c3, 0x7b09, 0x18b8,
0x7b0e, 0x18ac, 0x7b12, 0x18a1, 0x7b17, 0x1895, 0x7b1c, 0x1889,
0x7b21, 0x187e, 0x7b26, 0x1872, 0x7b2a, 0x1867, 0x7b2f, 0x185b,
0x7b34, 0x184f, 0x7b39, 0x1844, 0x7b3e, 0x1838, 0x7b42, 0x182d,
0x7b47, 0x1821, 0x7b4c, 0x1815, 0x7b50, 0x180a, 0x7b55, 0x17fe,
0x7b5a, 0x17f2, 0x7b5f, 0x17e7, 0x7b63, 0x17db, 0x7b68, 0x17cf,
0x7b6d, 0x17c4, 0x7b71, 0x17b8, 0x7b76, 0x17ac, 0x7b7b, 0x17a1,
0x7b7f, 0x1795, 0x7b84, 0x1789, 0x7b88, 0x177e, 0x7b8d, 0x1772,
0x7b92, 0x1766, 0x7b96, 0x175b, 0x7b9b, 0x174f, 0x7b9f, 0x1743,
0x7ba4, 0x1737, 0x7ba9, 0x172c, 0x7bad, 0x1720, 0x7bb2, 0x1714,
0x7bb6, 0x1709, 0x7bbb, 0x16fd, 0x7bbf, 0x16f1, 0x7bc4, 0x16e5,
0x7bc8, 0x16da, 0x7bcd, 0x16ce, 0x7bd1, 0x16c2, 0x7bd6, 0x16b6,
0x7bda, 0x16ab, 0x7bde, 0x169f, 0x7be3, 0x1693, 0x7be7, 0x1687,
0x7bec, 0x167c, 0x7bf0, 0x1670, 0x7bf5, 0x1664, 0x7bf9, 0x1658,
0x7bfd, 0x164c, 0x7c02, 0x1641, 0x7c06, 0x1635, 0x7c0a, 0x1629,
0x7c0f, 0x161d, 0x7c13, 0x1612, 0x7c17, 0x1606, 0x7c1c, 0x15fa,
0x7c20, 0x15ee, 0x7c24, 0x15e2, 0x7c29, 0x15d7, 0x7c2d, 0x15cb,
0x7c31, 0x15bf, 0x7c36, 0x15b3, 0x7c3a, 0x15a7, 0x7c3e, 0x159b,
0x7c42, 0x1590, 0x7c46, 0x1584, 0x7c4b, 0x1578, 0x7c4f, 0x156c,
0x7c53, 0x1560, 0x7c57, 0x1554, 0x7c5b, 0x1549, 0x7c60, 0x153d,
0x7c64, 0x1531, 0x7c68, 0x1525, 0x7c6c, 0x1519, 0x7c70, 0x150d,
0x7c74, 0x1501, 0x7c79, 0x14f6, 0x7c7d, 0x14ea, 0x7c81, 0x14de,
0x7c85, 0x14d2, 0x7c89, 0x14c6, 0x7c8d, 0x14ba, 0x7c91, 0x14ae,
0x7c95, 0x14a2, 0x7c99, 0x1496, 0x7c9d, 0x148b, 0x7ca1, 0x147f,
0x7ca5, 0x1473, 0x7ca9, 0x1467, 0x7cad, 0x145b, 0x7cb1, 0x144f,
0x7cb5, 0x1443, 0x7cb9, 0x1437, 0x7cbd, 0x142b, 0x7cc1, 0x141f,
0x7cc5, 0x1413, 0x7cc9, 0x1407, 0x7ccd, 0x13fb, 0x7cd1, 0x13f0,
0x7cd5, 0x13e4, 0x7cd9, 0x13d8, 0x7cdd, 0x13cc, 0x7ce0, 0x13c0,
0x7ce4, 0x13b4, 0x7ce8, 0x13a8, 0x7cec, 0x139c, 0x7cf0, 0x1390,
0x7cf4, 0x1384, 0x7cf8, 0x1378, 0x7cfb, 0x136c, 0x7cff, 0x1360,
0x7d03, 0x1354, 0x7d07, 0x1348, 0x7d0b, 0x133c, 0x7d0e, 0x1330,
0x7d12, 0x1324, 0x7d16, 0x1318, 0x7d1a, 0x130c, 0x7d1d, 0x1300,
0x7d21, 0x12f4, 0x7d25, 0x12e8, 0x7d28, 0x12dc, 0x7d2c, 0x12d0,
0x7d30, 0x12c4, 0x7d34, 0x12b8, 0x7d37, 0x12ac, 0x7d3b, 0x12a0,
0x7d3f, 0x1294, 0x7d42, 0x1288, 0x7d46, 0x127c, 0x7d49, 0x1270,
0x7d4d, 0x1264, 0x7d51, 0x1258, 0x7d54, 0x124c, 0x7d58, 0x1240,
0x7d5b, 0x1234, 0x7d5f, 0x1228, 0x7d63, 0x121c, 0x7d66, 0x1210,
0x7d6a, 0x1204, 0x7d6d, 0x11f7, 0x7d71, 0x11eb, 0x7d74, 0x11df,
0x7d78, 0x11d3, 0x7d7b, 0x11c7, 0x7d7f, 0x11bb, 0x7d82, 0x11af,
0x7d86, 0x11a3, 0x7d89, 0x1197, 0x7d8d, 0x118b, 0x7d90, 0x117f,
0x7d93, 0x1173, 0x7d97, 0x1167, 0x7d9a, 0x115a, 0x7d9e, 0x114e,
0x7da1, 0x1142, 0x7da4, 0x1136, 0x7da8, 0x112a, 0x7dab, 0x111e,
0x7daf, 0x1112, 0x7db2, 0x1106, 0x7db5, 0x10fa, 0x7db9, 0x10ed,
0x7dbc, 0x10e1, 0x7dbf, 0x10d5, 0x7dc2, 0x10c9, 0x7dc6, 0x10bd,
0x7dc9, 0x10b1, 0x7dcc, 0x10a5, 0x7dd0, 0x1099, 0x7dd3, 0x108c,
0x7dd6, 0x1080, 0x7dd9, 0x1074, 0x7ddd, 0x1068, 0x7de0, 0x105c,
0x7de3, 0x1050, 0x7de6, 0x1044, 0x7de9, 0x1037, 0x7ded, 0x102b,
0x7df0, 0x101f, 0x7df3, 0x1013, 0x7df6, 0x1007, 0x7df9, 0xffb,
0x7dfc, 0xfee, 0x7dff, 0xfe2, 0x7e03, 0xfd6, 0x7e06, 0xfca,
0x7e09, 0xfbe, 0x7e0c, 0xfb2, 0x7e0f, 0xfa5, 0x7e12, 0xf99,
0x7e15, 0xf8d, 0x7e18, 0xf81, 0x7e1b, 0xf75, 0x7e1e, 0xf68,
0x7e21, 0xf5c, 0x7e24, 0xf50, 0x7e27, 0xf44, 0x7e2a, 0xf38,
0x7e2d, 0xf2b, 0x7e30, 0xf1f, 0x7e33, 0xf13, 0x7e36, 0xf07,
0x7e39, 0xefb, 0x7e3c, 0xeee, 0x7e3f, 0xee2, 0x7e42, 0xed6,
0x7e45, 0xeca, 0x7e48, 0xebd, 0x7e4a, 0xeb1, 0x7e4d, 0xea5,
0x7e50, 0xe99, 0x7e53, 0xe8c, 0x7e56, 0xe80, 0x7e59, 0xe74,
0x7e5c, 0xe68, 0x7e5e, 0xe5c, 0x7e61, 0xe4f, 0x7e64, 0xe43,
0x7e67, 0xe37, 0x7e6a, 0xe2b, 0x7e6c, 0xe1e, 0x7e6f, 0xe12,
0x7e72, 0xe06, 0x7e75, 0xdf9, 0x7e77, 0xded, 0x7e7a, 0xde1,
0x7e7d, 0xdd5, 0x7e80, 0xdc8, 0x7e82, 0xdbc, 0x7e85, 0xdb0,
0x7e88, 0xda4, 0x7e8a, 0xd97, 0x7e8d, 0xd8b, 0x7e90, 0xd7f,
0x7e92, 0xd72, 0x7e95, 0xd66, 0x7e98, 0xd5a, 0x7e9a, 0xd4e,
0x7e9d, 0xd41, 0x7e9f, 0xd35, 0x7ea2, 0xd29, 0x7ea5, 0xd1c,
0x7ea7, 0xd10, 0x7eaa, 0xd04, 0x7eac, 0xcf8, 0x7eaf, 0xceb,
0x7eb1, 0xcdf, 0x7eb4, 0xcd3, 0x7eb6, 0xcc6, 0x7eb9, 0xcba,
0x7ebb, 0xcae, 0x7ebe, 0xca1, 0x7ec0, 0xc95, 0x7ec3, 0xc89,
0x7ec5, 0xc7c, 0x7ec8, 0xc70, 0x7eca, 0xc64, 0x7ecc, 0xc57,
0x7ecf, 0xc4b, 0x7ed1, 0xc3f, 0x7ed4, 0xc32, 0x7ed6, 0xc26,
0x7ed8, 0xc1a, 0x7edb, 0xc0d, 0x7edd, 0xc01, 0x7ee0, 0xbf5,
0x7ee2, 0xbe8, 0x7ee4, 0xbdc, 0x7ee7, 0xbd0, 0x7ee9, 0xbc3,
0x7eeb, 0xbb7, 0x7eed, 0xbab, 0x7ef0, 0xb9e, 0x7ef2, 0xb92,
0x7ef4, 0xb85, 0x7ef7, 0xb79, 0x7ef9, 0xb6d, 0x7efb, 0xb60,
0x7efd, 0xb54, 0x7f00, 0xb48, 0x7f02, 0xb3b, 0x7f04, 0xb2f,
0x7f06, 0xb23, 0x7f08, 0xb16, 0x7f0a, 0xb0a, 0x7f0d, 0xafd,
0x7f0f, 0xaf1, 0x7f11, 0xae5, 0x7f13, 0xad8, 0x7f15, 0xacc,
0x7f17, 0xac0, 0x7f19, 0xab3, 0x7f1c, 0xaa7, 0x7f1e, 0xa9a,
0x7f20, 0xa8e, 0x7f22, 0xa82, 0x7f24, 0xa75, 0x7f26, 0xa69,
0x7f28, 0xa5c, 0x7f2a, 0xa50, 0x7f2c, 0xa44, 0x7f2e, 0xa37,
0x7f30, 0xa2b, 0x7f32, 0xa1e, 0x7f34, 0xa12, 0x7f36, 0xa06,
0x7f38, 0x9f9, 0x7f3a, 0x9ed, 0x7f3c, 0x9e0, 0x7f3e, 0x9d4,
0x7f40, 0x9c7, 0x7f42, 0x9bb, 0x7f43, 0x9af, 0x7f45, 0x9a2,
0x7f47, 0x996, 0x7f49, 0x989, 0x7f4b, 0x97d, 0x7f4d, 0x970,
0x7f4f, 0x964, 0x7f51, 0x958, 0x7f52, 0x94b, 0x7f54, 0x93f,
0x7f56, 0x932, 0x7f58, 0x926, 0x7f5a, 0x919, 0x7f5b, 0x90d,
0x7f5d, 0x901, 0x7f5f, 0x8f4, 0x7f61, 0x8e8, 0x7f62, 0x8db,
0x7f64, 0x8cf, 0x7f66, 0x8c2, 0x7f68, 0x8b6, 0x7f69, 0x8a9,
0x7f6b, 0x89d, 0x7f6d, 0x891, 0x7f6e, 0x884, 0x7f70, 0x878,
0x7f72, 0x86b, 0x7f73, 0x85f, 0x7f75, 0x852, 0x7f77, 0x846,
0x7f78, 0x839, 0x7f7a, 0x82d, 0x7f7b, 0x820, 0x7f7d, 0x814,
0x7f7f, 0x807, 0x7f80, 0x7fb, 0x7f82, 0x7ef, 0x7f83, 0x7e2,
0x7f85, 0x7d6, 0x7f86, 0x7c9, 0x7f88, 0x7bd, 0x7f89, 0x7b0,
0x7f8b, 0x7a4, 0x7f8c, 0x797, 0x7f8e, 0x78b, 0x7f8f, 0x77e,
0x7f91, 0x772, 0x7f92, 0x765, 0x7f94, 0x759, 0x7f95, 0x74c,
0x7f97, 0x740, 0x7f98, 0x733, 0x7f99, 0x727, 0x7f9b, 0x71a,
0x7f9c, 0x70e, 0x7f9e, 0x701, 0x7f9f, 0x6f5, 0x7fa0, 0x6e8,
0x7fa2, 0x6dc, 0x7fa3, 0x6cf, 0x7fa4, 0x6c3, 0x7fa6, 0x6b6,
0x7fa7, 0x6aa, 0x7fa8, 0x69d, 0x7faa, 0x691, 0x7fab, 0x684,
0x7fac, 0x678, 0x7fad, 0x66b, 0x7faf, 0x65f, 0x7fb0, 0x652,
0x7fb1, 0x646, 0x7fb2, 0x639, 0x7fb4, 0x62d, 0x7fb5, 0x620,
0x7fb6, 0x614, 0x7fb7, 0x607, 0x7fb8, 0x5fb, 0x7fb9, 0x5ee,
0x7fbb, 0x5e2, 0x7fbc, 0x5d5, 0x7fbd, 0x5c9, 0x7fbe, 0x5bc,
0x7fbf, 0x5b0, 0x7fc0, 0x5a3, 0x7fc1, 0x597, 0x7fc3, 0x58a,
0x7fc4, 0x57e, 0x7fc5, 0x571, 0x7fc6, 0x565, 0x7fc7, 0x558,
0x7fc8, 0x54c, 0x7fc9, 0x53f, 0x7fca, 0x533, 0x7fcb, 0x526,
0x7fcc, 0x51a, 0x7fcd, 0x50d, 0x7fce, 0x500, 0x7fcf, 0x4f4,
0x7fd0, 0x4e7, 0x7fd1, 0x4db, 0x7fd2, 0x4ce, 0x7fd3, 0x4c2,
0x7fd4, 0x4b5, 0x7fd5, 0x4a9, 0x7fd5, 0x49c, 0x7fd6, 0x490,
0x7fd7, 0x483, 0x7fd8, 0x477, 0x7fd9, 0x46a, 0x7fda, 0x45e,
0x7fdb, 0x451, 0x7fdc, 0x444, 0x7fdc, 0x438, 0x7fdd, 0x42b,
0x7fde, 0x41f, 0x7fdf, 0x412, 0x7fe0, 0x406, 0x7fe0, 0x3f9,
0x7fe1, 0x3ed, 0x7fe2, 0x3e0, 0x7fe3, 0x3d4, 0x7fe3, 0x3c7,
0x7fe4, 0x3bb, 0x7fe5, 0x3ae, 0x7fe6, 0x3a1, 0x7fe6, 0x395,
0x7fe7, 0x388, 0x7fe8, 0x37c, 0x7fe8, 0x36f, 0x7fe9, 0x363,
0x7fea, 0x356, 0x7fea, 0x34a, 0x7feb, 0x33d, 0x7fec, 0x330,
0x7fec, 0x324, 0x7fed, 0x317, 0x7fed, 0x30b, 0x7fee, 0x2fe,
0x7fef, 0x2f2, 0x7fef, 0x2e5, 0x7ff0, 0x2d9, 0x7ff0, 0x2cc,
0x7ff1, 0x2c0, 0x7ff1, 0x2b3, 0x7ff2, 0x2a6, 0x7ff2, 0x29a,
0x7ff3, 0x28d, 0x7ff3, 0x281, 0x7ff4, 0x274, 0x7ff4, 0x268,
0x7ff5, 0x25b, 0x7ff5, 0x24e, 0x7ff6, 0x242, 0x7ff6, 0x235,
0x7ff7, 0x229, 0x7ff7, 0x21c, 0x7ff7, 0x210, 0x7ff8, 0x203,
0x7ff8, 0x1f7, 0x7ff9, 0x1ea, 0x7ff9, 0x1dd, 0x7ff9, 0x1d1,
0x7ffa, 0x1c4, 0x7ffa, 0x1b8, 0x7ffa, 0x1ab, 0x7ffb, 0x19f,
0x7ffb, 0x192, 0x7ffb, 0x186, 0x7ffc, 0x179, 0x7ffc, 0x16c,
0x7ffc, 0x160, 0x7ffc, 0x153, 0x7ffd, 0x147, 0x7ffd, 0x13a,
0x7ffd, 0x12e, 0x7ffd, 0x121, 0x7ffe, 0x114, 0x7ffe, 0x108,
0x7ffe, 0xfb, 0x7ffe, 0xef, 0x7ffe, 0xe2, 0x7fff, 0xd6,
0x7fff, 0xc9, 0x7fff, 0xbc, 0x7fff, 0xb0, 0x7fff, 0xa3,
0x7fff, 0x97, 0x7fff, 0x8a, 0x7fff, 0x7e, 0x7fff, 0x71,
0x7fff, 0x65, 0x7fff, 0x58, 0x7fff, 0x4b, 0x7fff, 0x3f,
0x7fff, 0x32, 0x7fff, 0x26, 0x7fff, 0x19, 0x7fff, 0xd,
0x7fff, 0x0, 0x7fff, 0xfff3, 0x7fff, 0xffe7, 0x7fff, 0xffda,
0x7fff, 0xffce, 0x7fff, 0xffc1, 0x7fff, 0xffb5, 0x7fff, 0xffa8,
0x7fff, 0xff9b, 0x7fff, 0xff8f, 0x7fff, 0xff82, 0x7fff, 0xff76,
0x7fff, 0xff69, 0x7fff, 0xff5d, 0x7fff, 0xff50, 0x7fff, 0xff44,
0x7fff, 0xff37, 0x7fff, 0xff2a, 0x7ffe, 0xff1e, 0x7ffe, 0xff11,
0x7ffe, 0xff05, 0x7ffe, 0xfef8, 0x7ffe, 0xfeec, 0x7ffd, 0xfedf,
0x7ffd, 0xfed2, 0x7ffd, 0xfec6, 0x7ffd, 0xfeb9, 0x7ffc, 0xfead,
0x7ffc, 0xfea0, 0x7ffc, 0xfe94, 0x7ffc, 0xfe87, 0x7ffb, 0xfe7a,
0x7ffb, 0xfe6e, 0x7ffb, 0xfe61, 0x7ffa, 0xfe55, 0x7ffa, 0xfe48,
0x7ffa, 0xfe3c, 0x7ff9, 0xfe2f, 0x7ff9, 0xfe23, 0x7ff9, 0xfe16,
0x7ff8, 0xfe09, 0x7ff8, 0xfdfd, 0x7ff7, 0xfdf0, 0x7ff7, 0xfde4,
0x7ff7, 0xfdd7, 0x7ff6, 0xfdcb, 0x7ff6, 0xfdbe, 0x7ff5, 0xfdb2,
0x7ff5, 0xfda5, 0x7ff4, 0xfd98, 0x7ff4, 0xfd8c, 0x7ff3, 0xfd7f,
0x7ff3, 0xfd73, 0x7ff2, 0xfd66, 0x7ff2, 0xfd5a, 0x7ff1, 0xfd4d,
0x7ff1, 0xfd40, 0x7ff0, 0xfd34, 0x7ff0, 0xfd27, 0x7fef, 0xfd1b,
0x7fef, 0xfd0e, 0x7fee, 0xfd02, 0x7fed, 0xfcf5, 0x7fed, 0xfce9,
0x7fec, 0xfcdc, 0x7fec, 0xfcd0, 0x7feb, 0xfcc3, 0x7fea, 0xfcb6,
0x7fea, 0xfcaa, 0x7fe9, 0xfc9d, 0x7fe8, 0xfc91, 0x7fe8, 0xfc84,
0x7fe7, 0xfc78, 0x7fe6, 0xfc6b, 0x7fe6, 0xfc5f, 0x7fe5, 0xfc52,
0x7fe4, 0xfc45, 0x7fe3, 0xfc39, 0x7fe3, 0xfc2c, 0x7fe2, 0xfc20,
0x7fe1, 0xfc13, 0x7fe0, 0xfc07, 0x7fe0, 0xfbfa, 0x7fdf, 0xfbee,
0x7fde, 0xfbe1, 0x7fdd, 0xfbd5, 0x7fdc, 0xfbc8, 0x7fdc, 0xfbbc,
0x7fdb, 0xfbaf, 0x7fda, 0xfba2, 0x7fd9, 0xfb96, 0x7fd8, 0xfb89,
0x7fd7, 0xfb7d, 0x7fd6, 0xfb70, 0x7fd5, 0xfb64, 0x7fd5, 0xfb57,
0x7fd4, 0xfb4b, 0x7fd3, 0xfb3e, 0x7fd2, 0xfb32, 0x7fd1, 0xfb25,
0x7fd0, 0xfb19, 0x7fcf, 0xfb0c, 0x7fce, 0xfb00, 0x7fcd, 0xfaf3,
0x7fcc, 0xfae6, 0x7fcb, 0xfada, 0x7fca, 0xfacd, 0x7fc9, 0xfac1,
0x7fc8, 0xfab4, 0x7fc7, 0xfaa8, 0x7fc6, 0xfa9b, 0x7fc5, 0xfa8f,
0x7fc4, 0xfa82, 0x7fc3, 0xfa76, 0x7fc1, 0xfa69, 0x7fc0, 0xfa5d,
0x7fbf, 0xfa50, 0x7fbe, 0xfa44, 0x7fbd, 0xfa37, 0x7fbc, 0xfa2b,
0x7fbb, 0xfa1e, 0x7fb9, 0xfa12, 0x7fb8, 0xfa05, 0x7fb7, 0xf9f9,
0x7fb6, 0xf9ec, 0x7fb5, 0xf9e0, 0x7fb4, 0xf9d3, 0x7fb2, 0xf9c7,
0x7fb1, 0xf9ba, 0x7fb0, 0xf9ae, 0x7faf, 0xf9a1, 0x7fad, 0xf995,
0x7fac, 0xf988, 0x7fab, 0xf97c, 0x7faa, 0xf96f, 0x7fa8, 0xf963,
0x7fa7, 0xf956, 0x7fa6, 0xf94a, 0x7fa4, 0xf93d, 0x7fa3, 0xf931,
0x7fa2, 0xf924, 0x7fa0, 0xf918, 0x7f9f, 0xf90b, 0x7f9e, 0xf8ff,
0x7f9c, 0xf8f2, 0x7f9b, 0xf8e6, 0x7f99, 0xf8d9, 0x7f98, 0xf8cd,
0x7f97, 0xf8c0, 0x7f95, 0xf8b4, 0x7f94, 0xf8a7, 0x7f92, 0xf89b,
0x7f91, 0xf88e, 0x7f8f, 0xf882, 0x7f8e, 0xf875, 0x7f8c, 0xf869,
0x7f8b, 0xf85c, 0x7f89, 0xf850, 0x7f88, 0xf843, 0x7f86, 0xf837,
0x7f85, 0xf82a, 0x7f83, 0xf81e, 0x7f82, 0xf811, 0x7f80, 0xf805,
0x7f7f, 0xf7f9, 0x7f7d, 0xf7ec, 0x7f7b, 0xf7e0, 0x7f7a, 0xf7d3,
0x7f78, 0xf7c7, 0x7f77, 0xf7ba, 0x7f75, 0xf7ae, 0x7f73, 0xf7a1,
0x7f72, 0xf795, 0x7f70, 0xf788, 0x7f6e, 0xf77c, 0x7f6d, 0xf76f,
0x7f6b, 0xf763, 0x7f69, 0xf757, 0x7f68, 0xf74a, 0x7f66, 0xf73e,
0x7f64, 0xf731, 0x7f62, 0xf725, 0x7f61, 0xf718, 0x7f5f, 0xf70c,
0x7f5d, 0xf6ff, 0x7f5b, 0xf6f3, 0x7f5a, 0xf6e7, 0x7f58, 0xf6da,
0x7f56, 0xf6ce, 0x7f54, 0xf6c1, 0x7f52, 0xf6b5, 0x7f51, 0xf6a8,
0x7f4f, 0xf69c, 0x7f4d, 0xf690, 0x7f4b, 0xf683, 0x7f49, 0xf677,
0x7f47, 0xf66a, 0x7f45, 0xf65e, 0x7f43, 0xf651, 0x7f42, 0xf645,
0x7f40, 0xf639, 0x7f3e, 0xf62c, 0x7f3c, 0xf620, 0x7f3a, 0xf613,
0x7f38, 0xf607, 0x7f36, 0xf5fa, 0x7f34, 0xf5ee, 0x7f32, 0xf5e2,
0x7f30, 0xf5d5, 0x7f2e, 0xf5c9, 0x7f2c, 0xf5bc, 0x7f2a, 0xf5b0,
0x7f28, 0xf5a4, 0x7f26, 0xf597, 0x7f24, 0xf58b, 0x7f22, 0xf57e,
0x7f20, 0xf572, 0x7f1e, 0xf566, 0x7f1c, 0xf559, 0x7f19, 0xf54d,
0x7f17, 0xf540, 0x7f15, 0xf534, 0x7f13, 0xf528, 0x7f11, 0xf51b,
0x7f0f, 0xf50f, 0x7f0d, 0xf503, 0x7f0a, 0xf4f6, 0x7f08, 0xf4ea,
0x7f06, 0xf4dd, 0x7f04, 0xf4d1, 0x7f02, 0xf4c5, 0x7f00, 0xf4b8,
0x7efd, 0xf4ac, 0x7efb, 0xf4a0, 0x7ef9, 0xf493, 0x7ef7, 0xf487,
0x7ef4, 0xf47b, 0x7ef2, 0xf46e, 0x7ef0, 0xf462, 0x7eed, 0xf455,
0x7eeb, 0xf449, 0x7ee9, 0xf43d, 0x7ee7, 0xf430, 0x7ee4, 0xf424,
0x7ee2, 0xf418, 0x7ee0, 0xf40b, 0x7edd, 0xf3ff, 0x7edb, 0xf3f3,
0x7ed8, 0xf3e6, 0x7ed6, 0xf3da, 0x7ed4, 0xf3ce, 0x7ed1, 0xf3c1,
0x7ecf, 0xf3b5, 0x7ecc, 0xf3a9, 0x7eca, 0xf39c, 0x7ec8, 0xf390,
0x7ec5, 0xf384, 0x7ec3, 0xf377, 0x7ec0, 0xf36b, 0x7ebe, 0xf35f,
0x7ebb, 0xf352, 0x7eb9, 0xf346, 0x7eb6, 0xf33a, 0x7eb4, 0xf32d,
0x7eb1, 0xf321, 0x7eaf, 0xf315, 0x7eac, 0xf308, 0x7eaa, 0xf2fc,
0x7ea7, 0xf2f0, 0x7ea5, 0xf2e4, 0x7ea2, 0xf2d7, 0x7e9f, 0xf2cb,
0x7e9d, 0xf2bf, 0x7e9a, 0xf2b2, 0x7e98, 0xf2a6, 0x7e95, 0xf29a,
0x7e92, 0xf28e, 0x7e90, 0xf281, 0x7e8d, 0xf275, 0x7e8a, 0xf269,
0x7e88, 0xf25c, 0x7e85, 0xf250, 0x7e82, 0xf244, 0x7e80, 0xf238,
0x7e7d, 0xf22b, 0x7e7a, 0xf21f, 0x7e77, 0xf213, 0x7e75, 0xf207,
0x7e72, 0xf1fa, 0x7e6f, 0xf1ee, 0x7e6c, 0xf1e2, 0x7e6a, 0xf1d5,
0x7e67, 0xf1c9, 0x7e64, 0xf1bd, 0x7e61, 0xf1b1, 0x7e5e, 0xf1a4,
0x7e5c, 0xf198, 0x7e59, 0xf18c, 0x7e56, 0xf180, 0x7e53, 0xf174,
0x7e50, 0xf167, 0x7e4d, 0xf15b, 0x7e4a, 0xf14f, 0x7e48, 0xf143,
0x7e45, 0xf136, 0x7e42, 0xf12a, 0x7e3f, 0xf11e, 0x7e3c, 0xf112,
0x7e39, 0xf105, 0x7e36, 0xf0f9, 0x7e33, 0xf0ed, 0x7e30, 0xf0e1,
0x7e2d, 0xf0d5, 0x7e2a, 0xf0c8, 0x7e27, 0xf0bc, 0x7e24, 0xf0b0,
0x7e21, 0xf0a4, 0x7e1e, 0xf098, 0x7e1b, 0xf08b, 0x7e18, 0xf07f,
0x7e15, 0xf073, 0x7e12, 0xf067, 0x7e0f, 0xf05b, 0x7e0c, 0xf04e,
0x7e09, 0xf042, 0x7e06, 0xf036, 0x7e03, 0xf02a, 0x7dff, 0xf01e,
0x7dfc, 0xf012, 0x7df9, 0xf005, 0x7df6, 0xeff9, 0x7df3, 0xefed,
0x7df0, 0xefe1, 0x7ded, 0xefd5, 0x7de9, 0xefc9, 0x7de6, 0xefbc,
0x7de3, 0xefb0, 0x7de0, 0xefa4, 0x7ddd, 0xef98, 0x7dd9, 0xef8c,
0x7dd6, 0xef80, 0x7dd3, 0xef74, 0x7dd0, 0xef67, 0x7dcc, 0xef5b,
0x7dc9, 0xef4f, 0x7dc6, 0xef43, 0x7dc2, 0xef37, 0x7dbf, 0xef2b,
0x7dbc, 0xef1f, 0x7db9, 0xef13, 0x7db5, 0xef06, 0x7db2, 0xeefa,
0x7daf, 0xeeee, 0x7dab, 0xeee2, 0x7da8, 0xeed6, 0x7da4, 0xeeca,
0x7da1, 0xeebe, 0x7d9e, 0xeeb2, 0x7d9a, 0xeea6, 0x7d97, 0xee99,
0x7d93, 0xee8d, 0x7d90, 0xee81, 0x7d8d, 0xee75, 0x7d89, 0xee69,
0x7d86, 0xee5d, 0x7d82, 0xee51, 0x7d7f, 0xee45, 0x7d7b, 0xee39,
0x7d78, 0xee2d, 0x7d74, 0xee21, 0x7d71, 0xee15, 0x7d6d, 0xee09,
0x7d6a, 0xedfc, 0x7d66, 0xedf0, 0x7d63, 0xede4, 0x7d5f, 0xedd8,
0x7d5b, 0xedcc, 0x7d58, 0xedc0, 0x7d54, 0xedb4, 0x7d51, 0xeda8,
0x7d4d, 0xed9c, 0x7d49, 0xed90, 0x7d46, 0xed84, 0x7d42, 0xed78,
0x7d3f, 0xed6c, 0x7d3b, 0xed60, 0x7d37, 0xed54, 0x7d34, 0xed48,
0x7d30, 0xed3c, 0x7d2c, 0xed30, 0x7d28, 0xed24, 0x7d25, 0xed18,
0x7d21, 0xed0c, 0x7d1d, 0xed00, 0x7d1a, 0xecf4, 0x7d16, 0xece8,
0x7d12, 0xecdc, 0x7d0e, 0xecd0, 0x7d0b, 0xecc4, 0x7d07, 0xecb8,
0x7d03, 0xecac, 0x7cff, 0xeca0, 0x7cfb, 0xec94, 0x7cf8, 0xec88,
0x7cf4, 0xec7c, 0x7cf0, 0xec70, 0x7cec, 0xec64, 0x7ce8, 0xec58,
0x7ce4, 0xec4c, 0x7ce0, 0xec40, 0x7cdd, 0xec34, 0x7cd9, 0xec28,
0x7cd5, 0xec1c, 0x7cd1, 0xec10, 0x7ccd, 0xec05, 0x7cc9, 0xebf9,
0x7cc5, 0xebed, 0x7cc1, 0xebe1, 0x7cbd, 0xebd5, 0x7cb9, 0xebc9,
0x7cb5, 0xebbd, 0x7cb1, 0xebb1, 0x7cad, 0xeba5, 0x7ca9, 0xeb99,
0x7ca5, 0xeb8d, 0x7ca1, 0xeb81, 0x7c9d, 0xeb75, 0x7c99, 0xeb6a,
0x7c95, 0xeb5e, 0x7c91, 0xeb52, 0x7c8d, 0xeb46, 0x7c89, 0xeb3a,
0x7c85, 0xeb2e, 0x7c81, 0xeb22, 0x7c7d, 0xeb16, 0x7c79, 0xeb0a,
0x7c74, 0xeaff, 0x7c70, 0xeaf3, 0x7c6c, 0xeae7, 0x7c68, 0xeadb,
0x7c64, 0xeacf, 0x7c60, 0xeac3, 0x7c5b, 0xeab7, 0x7c57, 0xeaac,
0x7c53, 0xeaa0, 0x7c4f, 0xea94, 0x7c4b, 0xea88, 0x7c46, 0xea7c,
0x7c42, 0xea70, 0x7c3e, 0xea65, 0x7c3a, 0xea59, 0x7c36, 0xea4d,
0x7c31, 0xea41, 0x7c2d, 0xea35, 0x7c29, 0xea29, 0x7c24, 0xea1e,
0x7c20, 0xea12, 0x7c1c, 0xea06, 0x7c17, 0xe9fa, 0x7c13, 0xe9ee,
0x7c0f, 0xe9e3, 0x7c0a, 0xe9d7, 0x7c06, 0xe9cb, 0x7c02, 0xe9bf,
0x7bfd, 0xe9b4, 0x7bf9, 0xe9a8, 0x7bf5, 0xe99c, 0x7bf0, 0xe990,
0x7bec, 0xe984, 0x7be7, 0xe979, 0x7be3, 0xe96d, 0x7bde, 0xe961,
0x7bda, 0xe955, 0x7bd6, 0xe94a, 0x7bd1, 0xe93e, 0x7bcd, 0xe932,
0x7bc8, 0xe926, 0x7bc4, 0xe91b, 0x7bbf, 0xe90f, 0x7bbb, 0xe903,
0x7bb6, 0xe8f7, 0x7bb2, 0xe8ec, 0x7bad, 0xe8e0, 0x7ba9, 0xe8d4,
0x7ba4, 0xe8c9, 0x7b9f, 0xe8bd, 0x7b9b, 0xe8b1, 0x7b96, 0xe8a5,
0x7b92, 0xe89a, 0x7b8d, 0xe88e, 0x7b88, 0xe882, 0x7b84, 0xe877,
0x7b7f, 0xe86b, 0x7b7b, 0xe85f, 0x7b76, 0xe854, 0x7b71, 0xe848,
0x7b6d, 0xe83c, 0x7b68, 0xe831, 0x7b63, 0xe825, 0x7b5f, 0xe819,
0x7b5a, 0xe80e, 0x7b55, 0xe802, 0x7b50, 0xe7f6, 0x7b4c, 0xe7eb,
0x7b47, 0xe7df, 0x7b42, 0xe7d3, 0x7b3e, 0xe7c8, 0x7b39, 0xe7bc,
0x7b34, 0xe7b1, 0x7b2f, 0xe7a5, 0x7b2a, 0xe799, 0x7b26, 0xe78e,
0x7b21, 0xe782, 0x7b1c, 0xe777, 0x7b17, 0xe76b, 0x7b12, 0xe75f,
0x7b0e, 0xe754, 0x7b09, 0xe748, 0x7b04, 0xe73d, 0x7aff, 0xe731,
0x7afa, 0xe725, 0x7af5, 0xe71a, 0x7af0, 0xe70e, 0x7aeb, 0xe703,
0x7ae6, 0xe6f7, 0x7ae2, 0xe6ec, 0x7add, 0xe6e0, 0x7ad8, 0xe6d4,
0x7ad3, 0xe6c9, 0x7ace, 0xe6bd, 0x7ac9, 0xe6b2, 0x7ac4, 0xe6a6,
0x7abf, 0xe69b, 0x7aba, 0xe68f, 0x7ab5, 0xe684, 0x7ab0, 0xe678,
0x7aab, 0xe66d, 0x7aa6, 0xe661, 0x7aa1, 0xe656, 0x7a9c, 0xe64a,
0x7a97, 0xe63f, 0x7a92, 0xe633, 0x7a8d, 0xe628, 0x7a88, 0xe61c,
0x7a82, 0xe611, 0x7a7d, 0xe605, 0x7a78, 0xe5fa, 0x7a73, 0xe5ee,
0x7a6e, 0xe5e3, 0x7a69, 0xe5d7, 0x7a64, 0xe5cc, 0x7a5f, 0xe5c0,
0x7a59, 0xe5b5, 0x7a54, 0xe5a9, 0x7a4f, 0xe59e, 0x7a4a, 0xe592,
0x7a45, 0xe587, 0x7a3f, 0xe57c, 0x7a3a, 0xe570, 0x7a35, 0xe565,
0x7a30, 0xe559, 0x7a2b, 0xe54e, 0x7a25, 0xe542, 0x7a20, 0xe537,
0x7a1b, 0xe52c, 0x7a16, 0xe520, 0x7a10, 0xe515, 0x7a0b, 0xe509,
0x7a06, 0xe4fe, 0x7a00, 0xe4f3, 0x79fb, 0xe4e7, 0x79f6, 0xe4dc,
0x79f0, 0xe4d0, 0x79eb, 0xe4c5, 0x79e6, 0xe4ba, 0x79e0, 0xe4ae,
0x79db, 0xe4a3, 0x79d6, 0xe498, 0x79d0, 0xe48c, 0x79cb, 0xe481,
0x79c5, 0xe476, 0x79c0, 0xe46a, 0x79bb, 0xe45f, 0x79b5, 0xe454,
0x79b0, 0xe448, 0x79aa, 0xe43d, 0x79a5, 0xe432, 0x799f, 0xe426,
0x799a, 0xe41b, 0x7994, 0xe410, 0x798f, 0xe404, 0x7989, 0xe3f9,
0x7984, 0xe3ee, 0x797e, 0xe3e2, 0x7979, 0xe3d7, 0x7973, 0xe3cc,
0x796e, 0xe3c1, 0x7968, 0xe3b5, 0x7963, 0xe3aa, 0x795d, 0xe39f,
0x7958, 0xe394, 0x7952, 0xe388, 0x794c, 0xe37d, 0x7947, 0xe372,
0x7941, 0xe367, 0x793b, 0xe35b, 0x7936, 0xe350, 0x7930, 0xe345,
0x792b, 0xe33a, 0x7925, 0xe32e, 0x791f, 0xe323, 0x791a, 0xe318,
0x7914, 0xe30d, 0x790e, 0xe301, 0x7909, 0xe2f6, 0x7903, 0xe2eb,
0x78fd, 0xe2e0, 0x78f7, 0xe2d5, 0x78f2, 0xe2ca, 0x78ec, 0xe2be,
0x78e6, 0xe2b3, 0x78e0, 0xe2a8, 0x78db, 0xe29d, 0x78d5, 0xe292,
0x78cf, 0xe287, 0x78c9, 0xe27b, 0x78c3, 0xe270, 0x78be, 0xe265,
0x78b8, 0xe25a, 0x78b2, 0xe24f, 0x78ac, 0xe244, 0x78a6, 0xe239,
0x78a1, 0xe22d, 0x789b, 0xe222, 0x7895, 0xe217, 0x788f, 0xe20c,
0x7889, 0xe201, 0x7883, 0xe1f6, 0x787d, 0xe1eb, 0x7877, 0xe1e0,
0x7871, 0xe1d5, 0x786b, 0xe1ca, 0x7866, 0xe1be, 0x7860, 0xe1b3,
0x785a, 0xe1a8, 0x7854, 0xe19d, 0x784e, 0xe192, 0x7848, 0xe187,
0x7842, 0xe17c, 0x783c, 0xe171, 0x7836, 0xe166, 0x7830, 0xe15b,
0x782a, 0xe150, 0x7824, 0xe145, 0x781e, 0xe13a, 0x7818, 0xe12f,
0x7812, 0xe124, 0x780b, 0xe119, 0x7805, 0xe10e, 0x77ff, 0xe103,
0x77f9, 0xe0f8, 0x77f3, 0xe0ed, 0x77ed, 0xe0e2, 0x77e7, 0xe0d7,
0x77e1, 0xe0cc, 0x77db, 0xe0c1, 0x77d5, 0xe0b6, 0x77ce, 0xe0ab,
0x77c8, 0xe0a0, 0x77c2, 0xe095, 0x77bc, 0xe08a, 0x77b6, 0xe07f,
0x77b0, 0xe074, 0x77a9, 0xe069, 0x77a3, 0xe05e, 0x779d, 0xe054,
0x7797, 0xe049, 0x7790, 0xe03e, 0x778a, 0xe033, 0x7784, 0xe028,
0x777e, 0xe01d, 0x7777, 0xe012, 0x7771, 0xe007, 0x776b, 0xdffc,
0x7765, 0xdff1, 0x775e, 0xdfe7, 0x7758, 0xdfdc, 0x7752, 0xdfd1,
0x774b, 0xdfc6, 0x7745, 0xdfbb, 0x773f, 0xdfb0, 0x7738, 0xdfa5,
0x7732, 0xdf9b, 0x772c, 0xdf90, 0x7725, 0xdf85, 0x771f, 0xdf7a,
0x7718, 0xdf6f, 0x7712, 0xdf65, 0x770c, 0xdf5a, 0x7705, 0xdf4f,
0x76ff, 0xdf44, 0x76f8, 0xdf39, 0x76f2, 0xdf2f, 0x76eb, 0xdf24,
0x76e5, 0xdf19, 0x76df, 0xdf0e, 0x76d8, 0xdf03, 0x76d2, 0xdef9,
0x76cb, 0xdeee, 0x76c5, 0xdee3, 0x76be, 0xded8, 0x76b8, 0xdece,
0x76b1, 0xdec3, 0x76ab, 0xdeb8, 0x76a4, 0xdead, 0x769d, 0xdea3,
0x7697, 0xde98, 0x7690, 0xde8d, 0x768a, 0xde83, 0x7683, 0xde78,
0x767d, 0xde6d, 0x7676, 0xde62, 0x766f, 0xde58, 0x7669, 0xde4d,
0x7662, 0xde42, 0x765c, 0xde38, 0x7655, 0xde2d, 0x764e, 0xde22,
0x7648, 0xde18, 0x7641, 0xde0d, 0x763a, 0xde02, 0x7634, 0xddf8,
0x762d, 0xdded, 0x7626, 0xdde2, 0x7620, 0xddd8, 0x7619, 0xddcd,
0x7612, 0xddc3, 0x760b, 0xddb8, 0x7605, 0xddad, 0x75fe, 0xdda3,
0x75f7, 0xdd98, 0x75f0, 0xdd8e, 0x75ea, 0xdd83, 0x75e3, 0xdd78,
0x75dc, 0xdd6e, 0x75d5, 0xdd63, 0x75ce, 0xdd59, 0x75c8, 0xdd4e,
0x75c1, 0xdd44, 0x75ba, 0xdd39, 0x75b3, 0xdd2e, 0x75ac, 0xdd24,
0x75a5, 0xdd19, 0x759f, 0xdd0f, 0x7598, 0xdd04, 0x7591, 0xdcfa,
0x758a, 0xdcef, 0x7583, 0xdce5, 0x757c, 0xdcda, 0x7575, 0xdcd0,
0x756e, 0xdcc5, 0x7567, 0xdcbb, 0x7561, 0xdcb0, 0x755a, 0xdca6,
0x7553, 0xdc9b, 0x754c, 0xdc91, 0x7545, 0xdc86, 0x753e, 0xdc7c,
0x7537, 0xdc72, 0x7530, 0xdc67, 0x7529, 0xdc5d, 0x7522, 0xdc52,
0x751b, 0xdc48, 0x7514, 0xdc3d, 0x750d, 0xdc33, 0x7506, 0xdc29,
0x74ff, 0xdc1e, 0x74f8, 0xdc14, 0x74f1, 0xdc09, 0x74ea, 0xdbff,
0x74e2, 0xdbf5, 0x74db, 0xdbea, 0x74d4, 0xdbe0, 0x74cd, 0xdbd5,
0x74c6, 0xdbcb, 0x74bf, 0xdbc1, 0x74b8, 0xdbb6, 0x74b1, 0xdbac,
0x74aa, 0xdba2, 0x74a2, 0xdb97, 0x749b, 0xdb8d, 0x7494, 0xdb83,
0x748d, 0xdb78, 0x7486, 0xdb6e, 0x747f, 0xdb64, 0x7477, 0xdb59,
0x7470, 0xdb4f, 0x7469, 0xdb45, 0x7462, 0xdb3b, 0x745b, 0xdb30,
0x7453, 0xdb26, 0x744c, 0xdb1c, 0x7445, 0xdb11, 0x743e, 0xdb07,
0x7436, 0xdafd, 0x742f, 0xdaf3, 0x7428, 0xdae8, 0x7420, 0xdade,
0x7419, 0xdad4, 0x7412, 0xdaca, 0x740b, 0xdabf, 0x7403, 0xdab5,
0x73fc, 0xdaab, 0x73f5, 0xdaa1, 0x73ed, 0xda97, 0x73e6, 0xda8c,
0x73df, 0xda82, 0x73d7, 0xda78, 0x73d0, 0xda6e, 0x73c8, 0xda64,
0x73c1, 0xda5a, 0x73ba, 0xda4f, 0x73b2, 0xda45, 0x73ab, 0xda3b,
0x73a3, 0xda31, 0x739c, 0xda27, 0x7395, 0xda1d, 0x738d, 0xda13,
0x7386, 0xda08, 0x737e, 0xd9fe, 0x7377, 0xd9f4, 0x736f, 0xd9ea,
0x7368, 0xd9e0, 0x7360, 0xd9d6, 0x7359, 0xd9cc, 0x7351, 0xd9c2,
0x734a, 0xd9b8, 0x7342, 0xd9ae, 0x733b, 0xd9a4, 0x7333, 0xd99a,
0x732c, 0xd98f, 0x7324, 0xd985, 0x731d, 0xd97b, 0x7315, 0xd971,
0x730d, 0xd967, 0x7306, 0xd95d, 0x72fe, 0xd953, 0x72f7, 0xd949,
0x72ef, 0xd93f, 0x72e7, 0xd935, 0x72e0, 0xd92b, 0x72d8, 0xd921,
0x72d0, 0xd917, 0x72c9, 0xd90d, 0x72c1, 0xd903, 0x72ba, 0xd8f9,
0x72b2, 0xd8ef, 0x72aa, 0xd8e6, 0x72a3, 0xd8dc, 0x729b, 0xd8d2,
0x7293, 0xd8c8, 0x728b, 0xd8be, 0x7284, 0xd8b4, 0x727c, 0xd8aa,
0x7274, 0xd8a0, 0x726d, 0xd896, 0x7265, 0xd88c, 0x725d, 0xd882,
0x7255, 0xd878, 0x724e, 0xd86f, 0x7246, 0xd865, 0x723e, 0xd85b,
0x7236, 0xd851, 0x722e, 0xd847, 0x7227, 0xd83d, 0x721f, 0xd833,
0x7217, 0xd82a, 0x720f, 0xd820, 0x7207, 0xd816, 0x71ff, 0xd80c,
0x71f8, 0xd802, 0x71f0, 0xd7f8, 0x71e8, 0xd7ef, 0x71e0, 0xd7e5,
0x71d8, 0xd7db, 0x71d0, 0xd7d1, 0x71c8, 0xd7c8, 0x71c0, 0xd7be,
0x71b9, 0xd7b4, 0x71b1, 0xd7aa, 0x71a9, 0xd7a0, 0x71a1, 0xd797,
0x7199, 0xd78d, 0x7191, 0xd783, 0x7189, 0xd77a, 0x7181, 0xd770,
0x7179, 0xd766, 0x7171, 0xd75c, 0x7169, 0xd753, 0x7161, 0xd749,
0x7159, 0xd73f, 0x7151, 0xd736, 0x7149, 0xd72c, 0x7141, 0xd722,
0x7139, 0xd719, 0x7131, 0xd70f, 0x7129, 0xd705, 0x7121, 0xd6fc,
0x7119, 0xd6f2, 0x7111, 0xd6e8, 0x7109, 0xd6df, 0x7101, 0xd6d5,
0x70f9, 0xd6cb, 0x70f0, 0xd6c2, 0x70e8, 0xd6b8, 0x70e0, 0xd6af,
0x70d8, 0xd6a5, 0x70d0, 0xd69b, 0x70c8, 0xd692, 0x70c0, 0xd688,
0x70b8, 0xd67f, 0x70af, 0xd675, 0x70a7, 0xd66c, 0x709f, 0xd662,
0x7097, 0xd659, 0x708f, 0xd64f, 0x7087, 0xd645, 0x707e, 0xd63c,
0x7076, 0xd632, 0x706e, 0xd629, 0x7066, 0xd61f, 0x705d, 0xd616,
0x7055, 0xd60c, 0x704d, 0xd603, 0x7045, 0xd5f9, 0x703c, 0xd5f0,
0x7034, 0xd5e6, 0x702c, 0xd5dd, 0x7024, 0xd5d4, 0x701b, 0xd5ca,
0x7013, 0xd5c1, 0x700b, 0xd5b7, 0x7002, 0xd5ae, 0x6ffa, 0xd5a4,
0x6ff2, 0xd59b, 0x6fea, 0xd592, 0x6fe1, 0xd588, 0x6fd9, 0xd57f,
0x6fd0, 0xd575, 0x6fc8, 0xd56c, 0x6fc0, 0xd563, 0x6fb7, 0xd559,
0x6faf, 0xd550, 0x6fa7, 0xd547, 0x6f9e, 0xd53d, 0x6f96, 0xd534,
0x6f8d, 0xd52a, 0x6f85, 0xd521, 0x6f7d, 0xd518, 0x6f74, 0xd50e,
0x6f6c, 0xd505, 0x6f63, 0xd4fc, 0x6f5b, 0xd4f3, 0x6f52, 0xd4e9,
0x6f4a, 0xd4e0, 0x6f41, 0xd4d7, 0x6f39, 0xd4cd, 0x6f30, 0xd4c4,
0x6f28, 0xd4bb, 0x6f20, 0xd4b2, 0x6f17, 0xd4a8, 0x6f0e, 0xd49f,
0x6f06, 0xd496, 0x6efd, 0xd48d, 0x6ef5, 0xd483, 0x6eec, 0xd47a,
0x6ee4, 0xd471, 0x6edb, 0xd468, 0x6ed3, 0xd45f, 0x6eca, 0xd455,
0x6ec2, 0xd44c, 0x6eb9, 0xd443, 0x6eb0, 0xd43a, 0x6ea8, 0xd431,
0x6e9f, 0xd428, 0x6e97, 0xd41e, 0x6e8e, 0xd415, 0x6e85, 0xd40c,
0x6e7d, 0xd403, 0x6e74, 0xd3fa, 0x6e6b, 0xd3f1, 0x6e63, 0xd3e8,
0x6e5a, 0xd3df, 0x6e51, 0xd3d5, 0x6e49, 0xd3cc, 0x6e40, 0xd3c3,
0x6e37, 0xd3ba, 0x6e2f, 0xd3b1, 0x6e26, 0xd3a8, 0x6e1d, 0xd39f,
0x6e15, 0xd396, 0x6e0c, 0xd38d, 0x6e03, 0xd384, 0x6dfa, 0xd37b,
0x6df2, 0xd372, 0x6de9, 0xd369, 0x6de0, 0xd360, 0x6dd7, 0xd357,
0x6dcf, 0xd34e, 0x6dc6, 0xd345, 0x6dbd, 0xd33c, 0x6db4, 0xd333,
0x6dab, 0xd32a, 0x6da3, 0xd321, 0x6d9a, 0xd318, 0x6d91, 0xd30f,
0x6d88, 0xd306, 0x6d7f, 0xd2fd, 0x6d76, 0xd2f4, 0x6d6e, 0xd2eb,
0x6d65, 0xd2e2, 0x6d5c, 0xd2d9, 0x6d53, 0xd2d1, 0x6d4a, 0xd2c8,
0x6d41, 0xd2bf, 0x6d38, 0xd2b6, 0x6d2f, 0xd2ad, 0x6d27, 0xd2a4,
0x6d1e, 0xd29b, 0x6d15, 0xd292, 0x6d0c, 0xd28a, 0x6d03, 0xd281,
0x6cfa, 0xd278, 0x6cf1, 0xd26f, 0x6ce8, 0xd266, 0x6cdf, 0xd25d,
0x6cd6, 0xd255, 0x6ccd, 0xd24c, 0x6cc4, 0xd243, 0x6cbb, 0xd23a,
0x6cb2, 0xd231, 0x6ca9, 0xd229, 0x6ca0, 0xd220, 0x6c97, 0xd217,
0x6c8e, 0xd20e, 0x6c85, 0xd206, 0x6c7c, 0xd1fd, 0x6c73, 0xd1f4,
0x6c6a, 0xd1eb, 0x6c61, 0xd1e3, 0x6c58, 0xd1da, 0x6c4f, 0xd1d1,
0x6c46, 0xd1c9, 0x6c3d, 0xd1c0, 0x6c34, 0xd1b7, 0x6c2b, 0xd1af,
0x6c21, 0xd1a6, 0x6c18, 0xd19d, 0x6c0f, 0xd195, 0x6c06, 0xd18c,
0x6bfd, 0xd183, 0x6bf4, 0xd17b, 0x6beb, 0xd172, 0x6be2, 0xd169,
0x6bd8, 0xd161, 0x6bcf, 0xd158, 0x6bc6, 0xd150, 0x6bbd, 0xd147,
0x6bb4, 0xd13e, 0x6bab, 0xd136, 0x6ba1, 0xd12d, 0x6b98, 0xd125,
0x6b8f, 0xd11c, 0x6b86, 0xd114, 0x6b7d, 0xd10b, 0x6b73, 0xd103,
0x6b6a, 0xd0fa, 0x6b61, 0xd0f2, 0x6b58, 0xd0e9, 0x6b4e, 0xd0e0,
0x6b45, 0xd0d8, 0x6b3c, 0xd0d0, 0x6b33, 0xd0c7, 0x6b29, 0xd0bf,
0x6b20, 0xd0b6, 0x6b17, 0xd0ae, 0x6b0d, 0xd0a5, 0x6b04, 0xd09d,
0x6afb, 0xd094, 0x6af2, 0xd08c, 0x6ae8, 0xd083, 0x6adf, 0xd07b,
0x6ad6, 0xd073, 0x6acc, 0xd06a, 0x6ac3, 0xd062, 0x6ab9, 0xd059,
0x6ab0, 0xd051, 0x6aa7, 0xd049, 0x6a9d, 0xd040, 0x6a94, 0xd038,
0x6a8b, 0xd030, 0x6a81, 0xd027, 0x6a78, 0xd01f, 0x6a6e, 0xd016,
0x6a65, 0xd00e, 0x6a5c, 0xd006, 0x6a52, 0xcffe, 0x6a49, 0xcff5,
0x6a3f, 0xcfed, 0x6a36, 0xcfe5, 0x6a2c, 0xcfdc, 0x6a23, 0xcfd4,
0x6a1a, 0xcfcc, 0x6a10, 0xcfc4, 0x6a07, 0xcfbb, 0x69fd, 0xcfb3,
0x69f4, 0xcfab, 0x69ea, 0xcfa3, 0x69e1, 0xcf9a, 0x69d7, 0xcf92,
0x69ce, 0xcf8a, 0x69c4, 0xcf82, 0x69bb, 0xcf79, 0x69b1, 0xcf71,
0x69a7, 0xcf69, 0x699e, 0xcf61, 0x6994, 0xcf59, 0x698b, 0xcf51,
0x6981, 0xcf48, 0x6978, 0xcf40, 0x696e, 0xcf38, 0x6965, 0xcf30,
0x695b, 0xcf28, 0x6951, 0xcf20, 0x6948, 0xcf18, 0x693e, 0xcf10,
0x6935, 0xcf07, 0x692b, 0xceff, 0x6921, 0xcef7, 0x6918, 0xceef,
0x690e, 0xcee7, 0x6904, 0xcedf, 0x68fb, 0xced7, 0x68f1, 0xcecf,
0x68e7, 0xcec7, 0x68de, 0xcebf, 0x68d4, 0xceb7, 0x68ca, 0xceaf,
0x68c1, 0xcea7, 0x68b7, 0xce9f, 0x68ad, 0xce97, 0x68a4, 0xce8f,
0x689a, 0xce87, 0x6890, 0xce7f, 0x6886, 0xce77, 0x687d, 0xce6f,
0x6873, 0xce67, 0x6869, 0xce5f, 0x6860, 0xce57, 0x6856, 0xce4f,
0x684c, 0xce47, 0x6842, 0xce40, 0x6838, 0xce38, 0x682f, 0xce30,
0x6825, 0xce28, 0x681b, 0xce20, 0x6811, 0xce18, 0x6808, 0xce10,
0x67fe, 0xce08, 0x67f4, 0xce01, 0x67ea, 0xcdf9, 0x67e0, 0xcdf1,
0x67d6, 0xcde9, 0x67cd, 0xcde1, 0x67c3, 0xcdd9, 0x67b9, 0xcdd2,
0x67af, 0xcdca, 0x67a5, 0xcdc2, 0x679b, 0xcdba, 0x6791, 0xcdb2,
0x6788, 0xcdab, 0x677e, 0xcda3, 0x6774, 0xcd9b, 0x676a, 0xcd93,
0x6760, 0xcd8c, 0x6756, 0xcd84, 0x674c, 0xcd7c, 0x6742, 0xcd75,
0x6738, 0xcd6d, 0x672e, 0xcd65, 0x6724, 0xcd5d, 0x671a, 0xcd56,
0x6711, 0xcd4e, 0x6707, 0xcd46, 0x66fd, 0xcd3f, 0x66f3, 0xcd37,
0x66e9, 0xcd30, 0x66df, 0xcd28, 0x66d5, 0xcd20, 0x66cb, 0xcd19,
0x66c1, 0xcd11, 0x66b7, 0xcd09, 0x66ad, 0xcd02, 0x66a3, 0xccfa,
0x6699, 0xccf3, 0x668f, 0xcceb, 0x6685, 0xcce3, 0x667b, 0xccdc,
0x6671, 0xccd4, 0x6666, 0xcccd, 0x665c, 0xccc5, 0x6652, 0xccbe,
0x6648, 0xccb6, 0x663e, 0xccaf, 0x6634, 0xcca7, 0x662a, 0xcca0,
0x6620, 0xcc98, 0x6616, 0xcc91, 0x660c, 0xcc89, 0x6602, 0xcc82,
0x65f8, 0xcc7a, 0x65ed, 0xcc73, 0x65e3, 0xcc6b, 0x65d9, 0xcc64,
0x65cf, 0xcc5d, 0x65c5, 0xcc55, 0x65bb, 0xcc4e, 0x65b1, 0xcc46,
0x65a6, 0xcc3f, 0x659c, 0xcc38, 0x6592, 0xcc30, 0x6588, 0xcc29,
0x657e, 0xcc21, 0x6574, 0xcc1a, 0x6569, 0xcc13, 0x655f, 0xcc0b,
0x6555, 0xcc04, 0x654b, 0xcbfd, 0x6541, 0xcbf5, 0x6536, 0xcbee,
0x652c, 0xcbe7, 0x6522, 0xcbe0, 0x6518, 0xcbd8, 0x650d, 0xcbd1,
0x6503, 0xcbca, 0x64f9, 0xcbc2, 0x64ef, 0xcbbb, 0x64e4, 0xcbb4,
0x64da, 0xcbad, 0x64d0, 0xcba5, 0x64c5, 0xcb9e, 0x64bb, 0xcb97,
0x64b1, 0xcb90, 0x64a7, 0xcb89, 0x649c, 0xcb81, 0x6492, 0xcb7a,
0x6488, 0xcb73, 0x647d, 0xcb6c, 0x6473, 0xcb65, 0x6469, 0xcb5e,
0x645e, 0xcb56, 0x6454, 0xcb4f, 0x644a, 0xcb48, 0x643f, 0xcb41,
0x6435, 0xcb3a, 0x642b, 0xcb33, 0x6420, 0xcb2c, 0x6416, 0xcb25,
0x640b, 0xcb1e, 0x6401, 0xcb16, 0x63f7, 0xcb0f, 0x63ec, 0xcb08,
0x63e2, 0xcb01, 0x63d7, 0xcafa, 0x63cd, 0xcaf3, 0x63c3, 0xcaec,
0x63b8, 0xcae5, 0x63ae, 0xcade, 0x63a3, 0xcad7, 0x6399, 0xcad0,
0x638e, 0xcac9, 0x6384, 0xcac2, 0x637a, 0xcabb, 0x636f, 0xcab4,
0x6365, 0xcaad, 0x635a, 0xcaa6, 0x6350, 0xca9f, 0x6345, 0xca99,
0x633b, 0xca92, 0x6330, 0xca8b, 0x6326, 0xca84, 0x631b, 0xca7d,
0x6311, 0xca76, 0x6306, 0xca6f, 0x62fc, 0xca68, 0x62f1, 0xca61,
0x62e7, 0xca5b, 0x62dc, 0xca54, 0x62d2, 0xca4d, 0x62c7, 0xca46,
0x62bc, 0xca3f, 0x62b2, 0xca38, 0x62a7, 0xca32, 0x629d, 0xca2b,
0x6292, 0xca24, 0x6288, 0xca1d, 0x627d, 0xca16, 0x6272, 0xca10,
0x6268, 0xca09, 0x625d, 0xca02, 0x6253, 0xc9fb, 0x6248, 0xc9f5,
0x623d, 0xc9ee, 0x6233, 0xc9e7, 0x6228, 0xc9e0, 0x621e, 0xc9da,
0x6213, 0xc9d3, 0x6208, 0xc9cc, 0x61fe, 0xc9c6, 0x61f3, 0xc9bf,
0x61e8, 0xc9b8, 0x61de, 0xc9b2, 0x61d3, 0xc9ab, 0x61c8, 0xc9a4,
0x61be, 0xc99e, 0x61b3, 0xc997, 0x61a8, 0xc991, 0x619e, 0xc98a,
0x6193, 0xc983, 0x6188, 0xc97d, 0x617d, 0xc976, 0x6173, 0xc970,
0x6168, 0xc969, 0x615d, 0xc963, 0x6153, 0xc95c, 0x6148, 0xc955,
0x613d, 0xc94f, 0x6132, 0xc948, 0x6128, 0xc942, 0x611d, 0xc93b,
0x6112, 0xc935, 0x6107, 0xc92e, 0x60fd, 0xc928, 0x60f2, 0xc921,
0x60e7, 0xc91b, 0x60dc, 0xc915, 0x60d1, 0xc90e, 0x60c7, 0xc908,
0x60bc, 0xc901, 0x60b1, 0xc8fb, 0x60a6, 0xc8f4, 0x609b, 0xc8ee,
0x6091, 0xc8e8, 0x6086, 0xc8e1, 0x607b, 0xc8db, 0x6070, 0xc8d4,
0x6065, 0xc8ce, 0x605b, 0xc8c8, 0x6050, 0xc8c1, 0x6045, 0xc8bb,
0x603a, 0xc8b5, 0x602f, 0xc8ae, 0x6024, 0xc8a8, 0x6019, 0xc8a2,
0x600f, 0xc89b, 0x6004, 0xc895, 0x5ff9, 0xc88f, 0x5fee, 0xc889,
0x5fe3, 0xc882, 0x5fd8, 0xc87c, 0x5fcd, 0xc876, 0x5fc2, 0xc870,
0x5fb7, 0xc869, 0x5fac, 0xc863, 0x5fa2, 0xc85d, 0x5f97, 0xc857,
0x5f8c, 0xc850, 0x5f81, 0xc84a, 0x5f76, 0xc844, 0x5f6b, 0xc83e,
0x5f60, 0xc838, 0x5f55, 0xc832, 0x5f4a, 0xc82b, 0x5f3f, 0xc825,
0x5f34, 0xc81f, 0x5f29, 0xc819, 0x5f1e, 0xc813, 0x5f13, 0xc80d,
0x5f08, 0xc807, 0x5efd, 0xc801, 0x5ef2, 0xc7fb, 0x5ee7, 0xc7f5,
0x5edc, 0xc7ee, 0x5ed1, 0xc7e8, 0x5ec6, 0xc7e2, 0x5ebb, 0xc7dc,
0x5eb0, 0xc7d6, 0x5ea5, 0xc7d0, 0x5e9a, 0xc7ca, 0x5e8f, 0xc7c4,
0x5e84, 0xc7be, 0x5e79, 0xc7b8, 0x5e6e, 0xc7b2, 0x5e63, 0xc7ac,
0x5e58, 0xc7a6, 0x5e4d, 0xc7a0, 0x5e42, 0xc79a, 0x5e36, 0xc795,
0x5e2b, 0xc78f, 0x5e20, 0xc789, 0x5e15, 0xc783, 0x5e0a, 0xc77d,
0x5dff, 0xc777, 0x5df4, 0xc771, 0x5de9, 0xc76b, 0x5dde, 0xc765,
0x5dd3, 0xc75f, 0x5dc7, 0xc75a, 0x5dbc, 0xc754, 0x5db1, 0xc74e,
0x5da6, 0xc748, 0x5d9b, 0xc742, 0x5d90, 0xc73d, 0x5d85, 0xc737,
0x5d79, 0xc731, 0x5d6e, 0xc72b, 0x5d63, 0xc725, 0x5d58, 0xc720,
0x5d4d, 0xc71a, 0x5d42, 0xc714, 0x5d36, 0xc70e, 0x5d2b, 0xc709,
0x5d20, 0xc703, 0x5d15, 0xc6fd, 0x5d0a, 0xc6f7, 0x5cff, 0xc6f2,
0x5cf3, 0xc6ec, 0x5ce8, 0xc6e6, 0x5cdd, 0xc6e1, 0x5cd2, 0xc6db,
0x5cc6, 0xc6d5, 0x5cbb, 0xc6d0, 0x5cb0, 0xc6ca, 0x5ca5, 0xc6c5,
0x5c99, 0xc6bf, 0x5c8e, 0xc6b9, 0x5c83, 0xc6b4, 0x5c78, 0xc6ae,
0x5c6c, 0xc6a8, 0x5c61, 0xc6a3, 0x5c56, 0xc69d, 0x5c4b, 0xc698,
0x5c3f, 0xc692, 0x5c34, 0xc68d, 0x5c29, 0xc687, 0x5c1e, 0xc682,
0x5c12, 0xc67c, 0x5c07, 0xc677, 0x5bfc, 0xc671, 0x5bf0, 0xc66c,
0x5be5, 0xc666, 0x5bda, 0xc661, 0x5bce, 0xc65b, 0x5bc3, 0xc656,
0x5bb8, 0xc650, 0x5bac, 0xc64b, 0x5ba1, 0xc645, 0x5b96, 0xc640,
0x5b8a, 0xc63b, 0x5b7f, 0xc635, 0x5b74, 0xc630, 0x5b68, 0xc62a,
0x5b5d, 0xc625, 0x5b52, 0xc620, 0x5b46, 0xc61a, 0x5b3b, 0xc615,
0x5b30, 0xc610, 0x5b24, 0xc60a, 0x5b19, 0xc605, 0x5b0d, 0xc600,
0x5b02, 0xc5fa, 0x5af7, 0xc5f5, 0x5aeb, 0xc5f0, 0x5ae0, 0xc5ea,
0x5ad4, 0xc5e5, 0x5ac9, 0xc5e0, 0x5abe, 0xc5db, 0x5ab2, 0xc5d5,
0x5aa7, 0xc5d0, 0x5a9b, 0xc5cb, 0x5a90, 0xc5c6, 0x5a84, 0xc5c1,
0x5a79, 0xc5bb, 0x5a6e, 0xc5b6, 0x5a62, 0xc5b1, 0x5a57, 0xc5ac,
0x5a4b, 0xc5a7, 0x5a40, 0xc5a1, 0x5a34, 0xc59c, 0x5a29, 0xc597,
0x5a1d, 0xc592, 0x5a12, 0xc58d, 0x5a06, 0xc588, 0x59fb, 0xc583,
0x59ef, 0xc57e, 0x59e4, 0xc578, 0x59d8, 0xc573, 0x59cd, 0xc56e,
0x59c1, 0xc569, 0x59b6, 0xc564, 0x59aa, 0xc55f, 0x599f, 0xc55a,
0x5993, 0xc555, 0x5988, 0xc550, 0x597c, 0xc54b, 0x5971, 0xc546,
0x5965, 0xc541, 0x595a, 0xc53c, 0x594e, 0xc537, 0x5943, 0xc532,
0x5937, 0xc52d, 0x592c, 0xc528, 0x5920, 0xc523, 0x5914, 0xc51e,
0x5909, 0xc51a, 0x58fd, 0xc515, 0x58f2, 0xc510, 0x58e6, 0xc50b,
0x58db, 0xc506, 0x58cf, 0xc501, 0x58c3, 0xc4fc, 0x58b8, 0xc4f7,
0x58ac, 0xc4f2, 0x58a1, 0xc4ee, 0x5895, 0xc4e9, 0x5889, 0xc4e4,
0x587e, 0xc4df, 0x5872, 0xc4da, 0x5867, 0xc4d6, 0x585b, 0xc4d1,
0x584f, 0xc4cc, 0x5844, 0xc4c7, 0x5838, 0xc4c2, 0x582d, 0xc4be,
0x5821, 0xc4b9, 0x5815, 0xc4b4, 0x580a, 0xc4b0, 0x57fe, 0xc4ab,
0x57f2, 0xc4a6, 0x57e7, 0xc4a1, 0x57db, 0xc49d, 0x57cf, 0xc498,
0x57c4, 0xc493, 0x57b8, 0xc48f, 0x57ac, 0xc48a, 0x57a1, 0xc485,
0x5795, 0xc481, 0x5789, 0xc47c, 0x577e, 0xc478, 0x5772, 0xc473,
0x5766, 0xc46e, 0x575b, 0xc46a, 0x574f, 0xc465, 0x5743, 0xc461,
0x5737, 0xc45c, 0x572c, 0xc457, 0x5720, 0xc453, 0x5714, 0xc44e,
0x5709, 0xc44a, 0x56fd, 0xc445, 0x56f1, 0xc441, 0x56e5, 0xc43c,
0x56da, 0xc438, 0x56ce, 0xc433, 0x56c2, 0xc42f, 0x56b6, 0xc42a,
0x56ab, 0xc426, 0x569f, 0xc422, 0x5693, 0xc41d, 0x5687, 0xc419,
0x567c, 0xc414, 0x5670, 0xc410, 0x5664, 0xc40b, 0x5658, 0xc407,
0x564c, 0xc403, 0x5641, 0xc3fe, 0x5635, 0xc3fa, 0x5629, 0xc3f6,
0x561d, 0xc3f1, 0x5612, 0xc3ed, 0x5606, 0xc3e9, 0x55fa, 0xc3e4,
0x55ee, 0xc3e0, 0x55e2, 0xc3dc, 0x55d7, 0xc3d7, 0x55cb, 0xc3d3,
0x55bf, 0xc3cf, 0x55b3, 0xc3ca, 0x55a7, 0xc3c6, 0x559b, 0xc3c2,
0x5590, 0xc3be, 0x5584, 0xc3ba, 0x5578, 0xc3b5, 0x556c, 0xc3b1,
0x5560, 0xc3ad, 0x5554, 0xc3a9, 0x5549, 0xc3a5, 0x553d, 0xc3a0,
0x5531, 0xc39c, 0x5525, 0xc398, 0x5519, 0xc394, 0x550d, 0xc390,
0x5501, 0xc38c, 0x54f6, 0xc387, 0x54ea, 0xc383, 0x54de, 0xc37f,
0x54d2, 0xc37b, 0x54c6, 0xc377, 0x54ba, 0xc373, 0x54ae, 0xc36f,
0x54a2, 0xc36b, 0x5496, 0xc367, 0x548b, 0xc363, 0x547f, 0xc35f,
0x5473, 0xc35b, 0x5467, 0xc357, 0x545b, 0xc353, 0x544f, 0xc34f,
0x5443, 0xc34b, 0x5437, 0xc347, 0x542b, 0xc343, 0x541f, 0xc33f,
0x5413, 0xc33b, 0x5407, 0xc337, 0x53fb, 0xc333, 0x53f0, 0xc32f,
0x53e4, 0xc32b, 0x53d8, 0xc327, 0x53cc, 0xc323, 0x53c0, 0xc320,
0x53b4, 0xc31c, 0x53a8, 0xc318, 0x539c, 0xc314, 0x5390, 0xc310,
0x5384, 0xc30c, 0x5378, 0xc308, 0x536c, 0xc305, 0x5360, 0xc301,
0x5354, 0xc2fd, 0x5348, 0xc2f9, 0x533c, 0xc2f5, 0x5330, 0xc2f2,
0x5324, 0xc2ee, 0x5318, 0xc2ea, 0x530c, 0xc2e6, 0x5300, 0xc2e3,
0x52f4, 0xc2df, 0x52e8, 0xc2db, 0x52dc, 0xc2d8, 0x52d0, 0xc2d4,
0x52c4, 0xc2d0, 0x52b8, 0xc2cc, 0x52ac, 0xc2c9, 0x52a0, 0xc2c5,
0x5294, 0xc2c1, 0x5288, 0xc2be, 0x527c, 0xc2ba, 0x5270, 0xc2b7,
0x5264, 0xc2b3, 0x5258, 0xc2af, 0x524c, 0xc2ac, 0x5240, 0xc2a8,
0x5234, 0xc2a5, 0x5228, 0xc2a1, 0x521c, 0xc29d, 0x5210, 0xc29a,
0x5204, 0xc296, 0x51f7, 0xc293, 0x51eb, 0xc28f, 0x51df, 0xc28c,
0x51d3, 0xc288, 0x51c7, 0xc285, 0x51bb, 0xc281, 0x51af, 0xc27e,
0x51a3, 0xc27a, 0x5197, 0xc277, 0x518b, 0xc273, 0x517f, 0xc270,
0x5173, 0xc26d, 0x5167, 0xc269, 0x515a, 0xc266, 0x514e, 0xc262,
0x5142, 0xc25f, 0x5136, 0xc25c, 0x512a, 0xc258, 0x511e, 0xc255,
0x5112, 0xc251, 0x5106, 0xc24e, 0x50fa, 0xc24b, 0x50ed, 0xc247,
0x50e1, 0xc244, 0x50d5, 0xc241, 0x50c9, 0xc23e, 0x50bd, 0xc23a,
0x50b1, 0xc237, 0x50a5, 0xc234, 0x5099, 0xc230, 0x508c, 0xc22d,
0x5080, 0xc22a, 0x5074, 0xc227, 0x5068, 0xc223, 0x505c, 0xc220,
0x5050, 0xc21d, 0x5044, 0xc21a, 0x5037, 0xc217, 0x502b, 0xc213,
0x501f, 0xc210, 0x5013, 0xc20d, 0x5007, 0xc20a, 0x4ffb, 0xc207,
0x4fee, 0xc204, 0x4fe2, 0xc201, 0x4fd6, 0xc1fd, 0x4fca, 0xc1fa,
0x4fbe, 0xc1f7, 0x4fb2, 0xc1f4, 0x4fa5, 0xc1f1, 0x4f99, 0xc1ee,
0x4f8d, 0xc1eb, 0x4f81, 0xc1e8, 0x4f75, 0xc1e5, 0x4f68, 0xc1e2,
0x4f5c, 0xc1df, 0x4f50, 0xc1dc, 0x4f44, 0xc1d9, 0x4f38, 0xc1d6,
0x4f2b, 0xc1d3, 0x4f1f, 0xc1d0, 0x4f13, 0xc1cd, 0x4f07, 0xc1ca,
0x4efb, 0xc1c7, 0x4eee, 0xc1c4, 0x4ee2, 0xc1c1, 0x4ed6, 0xc1be,
0x4eca, 0xc1bb, 0x4ebd, 0xc1b8, 0x4eb1, 0xc1b6, 0x4ea5, 0xc1b3,
0x4e99, 0xc1b0, 0x4e8c, 0xc1ad, 0x4e80, 0xc1aa, 0x4e74, 0xc1a7,
0x4e68, 0xc1a4, 0x4e5c, 0xc1a2, 0x4e4f, 0xc19f, 0x4e43, 0xc19c,
0x4e37, 0xc199, 0x4e2b, 0xc196, 0x4e1e, 0xc194, 0x4e12, 0xc191,
0x4e06, 0xc18e, 0x4df9, 0xc18b, 0x4ded, 0xc189, 0x4de1, 0xc186,
0x4dd5, 0xc183, 0x4dc8, 0xc180, 0x4dbc, 0xc17e, 0x4db0, 0xc17b,
0x4da4, 0xc178, 0x4d97, 0xc176, 0x4d8b, 0xc173, 0x4d7f, 0xc170,
0x4d72, 0xc16e, 0x4d66, 0xc16b, 0x4d5a, 0xc168, 0x4d4e, 0xc166,
0x4d41, 0xc163, 0x4d35, 0xc161, 0x4d29, 0xc15e, 0x4d1c, 0xc15b,
0x4d10, 0xc159, 0x4d04, 0xc156, 0x4cf8, 0xc154, 0x4ceb, 0xc151,
0x4cdf, 0xc14f, 0x4cd3, 0xc14c, 0x4cc6, 0xc14a, 0x4cba, 0xc147,
0x4cae, 0xc145, 0x4ca1, 0xc142, 0x4c95, 0xc140, 0x4c89, 0xc13d,
0x4c7c, 0xc13b, 0x4c70, 0xc138, 0x4c64, 0xc136, 0x4c57, 0xc134,
0x4c4b, 0xc131, 0x4c3f, 0xc12f, 0x4c32, 0xc12c, 0x4c26, 0xc12a,
0x4c1a, 0xc128, 0x4c0d, 0xc125, 0x4c01, 0xc123, 0x4bf5, 0xc120,
0x4be8, 0xc11e, 0x4bdc, 0xc11c, 0x4bd0, 0xc119, 0x4bc3, 0xc117,
0x4bb7, 0xc115, 0x4bab, 0xc113, 0x4b9e, 0xc110, 0x4b92, 0xc10e,
0x4b85, 0xc10c, 0x4b79, 0xc109, 0x4b6d, 0xc107, 0x4b60, 0xc105,
0x4b54, 0xc103, 0x4b48, 0xc100, 0x4b3b, 0xc0fe, 0x4b2f, 0xc0fc,
0x4b23, 0xc0fa, 0x4b16, 0xc0f8, 0x4b0a, 0xc0f6, 0x4afd, 0xc0f3,
0x4af1, 0xc0f1, 0x4ae5, 0xc0ef, 0x4ad8, 0xc0ed, 0x4acc, 0xc0eb,
0x4ac0, 0xc0e9, 0x4ab3, 0xc0e7, 0x4aa7, 0xc0e4, 0x4a9a, 0xc0e2,
0x4a8e, 0xc0e0, 0x4a82, 0xc0de, 0x4a75, 0xc0dc, 0x4a69, 0xc0da,
0x4a5c, 0xc0d8, 0x4a50, 0xc0d6, 0x4a44, 0xc0d4, 0x4a37, 0xc0d2,
0x4a2b, 0xc0d0, 0x4a1e, 0xc0ce, 0x4a12, 0xc0cc, 0x4a06, 0xc0ca,
0x49f9, 0xc0c8, 0x49ed, 0xc0c6, 0x49e0, 0xc0c4, 0x49d4, 0xc0c2,
0x49c7, 0xc0c0, 0x49bb, 0xc0be, 0x49af, 0xc0bd, 0x49a2, 0xc0bb,
0x4996, 0xc0b9, 0x4989, 0xc0b7, 0x497d, 0xc0b5, 0x4970, 0xc0b3,
0x4964, 0xc0b1, 0x4958, 0xc0af, 0x494b, 0xc0ae, 0x493f, 0xc0ac,
0x4932, 0xc0aa, 0x4926, 0xc0a8, 0x4919, 0xc0a6, 0x490d, 0xc0a5,
0x4901, 0xc0a3, 0x48f4, 0xc0a1, 0x48e8, 0xc09f, 0x48db, 0xc09e,
0x48cf, 0xc09c, 0x48c2, 0xc09a, 0x48b6, 0xc098, 0x48a9, 0xc097,
0x489d, 0xc095, 0x4891, 0xc093, 0x4884, 0xc092, 0x4878, 0xc090,
0x486b, 0xc08e, 0x485f, 0xc08d, 0x4852, 0xc08b, 0x4846, 0xc089,
0x4839, 0xc088, 0x482d, 0xc086, 0x4820, 0xc085, 0x4814, 0xc083,
0x4807, 0xc081, 0x47fb, 0xc080, 0x47ef, 0xc07e, 0x47e2, 0xc07d,
0x47d6, 0xc07b, 0x47c9, 0xc07a, 0x47bd, 0xc078, 0x47b0, 0xc077,
0x47a4, 0xc075, 0x4797, 0xc074, 0x478b, 0xc072, 0x477e, 0xc071,
0x4772, 0xc06f, 0x4765, 0xc06e, 0x4759, 0xc06c, 0x474c, 0xc06b,
0x4740, 0xc069, 0x4733, 0xc068, 0x4727, 0xc067, 0x471a, 0xc065,
0x470e, 0xc064, 0x4701, 0xc062, 0x46f5, 0xc061, 0x46e8, 0xc060,
0x46dc, 0xc05e, 0x46cf, 0xc05d, 0x46c3, 0xc05c, 0x46b6, 0xc05a,
0x46aa, 0xc059, 0x469d, 0xc058, 0x4691, 0xc056, 0x4684, 0xc055,
0x4678, 0xc054, 0x466b, 0xc053, 0x465f, 0xc051, 0x4652, 0xc050,
0x4646, 0xc04f, 0x4639, 0xc04e, 0x462d, 0xc04c, 0x4620, 0xc04b,
0x4614, 0xc04a, 0x4607, 0xc049, 0x45fb, 0xc048, 0x45ee, 0xc047,
0x45e2, 0xc045, 0x45d5, 0xc044, 0x45c9, 0xc043, 0x45bc, 0xc042,
0x45b0, 0xc041, 0x45a3, 0xc040, 0x4597, 0xc03f, 0x458a, 0xc03d,
0x457e, 0xc03c, 0x4571, 0xc03b, 0x4565, 0xc03a, 0x4558, 0xc039,
0x454c, 0xc038, 0x453f, 0xc037, 0x4533, 0xc036, 0x4526, 0xc035,
0x451a, 0xc034, 0x450d, 0xc033, 0x4500, 0xc032, 0x44f4, 0xc031,
0x44e7, 0xc030, 0x44db, 0xc02f, 0x44ce, 0xc02e, 0x44c2, 0xc02d,
0x44b5, 0xc02c, 0x44a9, 0xc02b, 0x449c, 0xc02b, 0x4490, 0xc02a,
0x4483, 0xc029, 0x4477, 0xc028, 0x446a, 0xc027, 0x445e, 0xc026,
0x4451, 0xc025, 0x4444, 0xc024, 0x4438, 0xc024, 0x442b, 0xc023,
0x441f, 0xc022, 0x4412, 0xc021, 0x4406, 0xc020, 0x43f9, 0xc020,
0x43ed, 0xc01f, 0x43e0, 0xc01e, 0x43d4, 0xc01d, 0x43c7, 0xc01d,
0x43bb, 0xc01c, 0x43ae, 0xc01b, 0x43a1, 0xc01a, 0x4395, 0xc01a,
0x4388, 0xc019, 0x437c, 0xc018, 0x436f, 0xc018, 0x4363, 0xc017,
0x4356, 0xc016, 0x434a, 0xc016, 0x433d, 0xc015, 0x4330, 0xc014,
0x4324, 0xc014, 0x4317, 0xc013, 0x430b, 0xc013, 0x42fe, 0xc012,
0x42f2, 0xc011, 0x42e5, 0xc011, 0x42d9, 0xc010, 0x42cc, 0xc010,
0x42c0, 0xc00f, 0x42b3, 0xc00f, 0x42a6, 0xc00e, 0x429a, 0xc00e,
0x428d, 0xc00d, 0x4281, 0xc00d, 0x4274, 0xc00c, 0x4268, 0xc00c,
0x425b, 0xc00b, 0x424e, 0xc00b, 0x4242, 0xc00a, 0x4235, 0xc00a,
0x4229, 0xc009, 0x421c, 0xc009, 0x4210, 0xc009, 0x4203, 0xc008,
0x41f7, 0xc008, 0x41ea, 0xc007, 0x41dd, 0xc007, 0x41d1, 0xc007,
0x41c4, 0xc006, 0x41b8, 0xc006, 0x41ab, 0xc006, 0x419f, 0xc005,
0x4192, 0xc005, 0x4186, 0xc005, 0x4179, 0xc004, 0x416c, 0xc004,
0x4160, 0xc004, 0x4153, 0xc004, 0x4147, 0xc003, 0x413a, 0xc003,
0x412e, 0xc003, 0x4121, 0xc003, 0x4114, 0xc002, 0x4108, 0xc002,
0x40fb, 0xc002, 0x40ef, 0xc002, 0x40e2, 0xc002, 0x40d6, 0xc001,
0x40c9, 0xc001, 0x40bc, 0xc001, 0x40b0, 0xc001, 0x40a3, 0xc001,
0x4097, 0xc001, 0x408a, 0xc001, 0x407e, 0xc000, 0x4071, 0xc000,
0x4065, 0xc000, 0x4058, 0xc000, 0x404b, 0xc000, 0x403f, 0xc000,
0x4032, 0xc000, 0x4026, 0xc000, 0x4019, 0xc000, 0x400d, 0xc000,
};
/**
* @brief Initialization function for the Q15 RFFT/RIFFT.
* @param[in, out] *S points to an instance of the Q15 RFFT/RIFFT structure.
* @param[in] fftLenReal length of the FFT.
* @param[in] ifftFlagR flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform.
* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.
* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported value.
*
* \par Description:
* \par
* The parameter <code>fftLenReal</code> Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192.
* \par
* The parameter <code>ifftFlagR</code> controls whether a forward or inverse transform is computed.
* Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated.
* \par
* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.
* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
* \par
* This function also initializes Twiddle factor table.
*/
arm_status arm_rfft_init_q15(
arm_rfft_instance_q15 * S,
uint32_t fftLenReal,
uint32_t ifftFlagR,
uint32_t bitReverseFlag)
{
/* Initialise the default arm status */
arm_status status = ARM_MATH_SUCCESS;
/* Initialize the Real FFT length */
S->fftLenReal = (uint16_t) fftLenReal;
/* Initialize the Twiddle coefficientA pointer */
S->pTwiddleAReal = (q15_t *) realCoefAQ15;
/* Initialize the Twiddle coefficientB pointer */
S->pTwiddleBReal = (q15_t *) realCoefBQ15;
/* Initialize the Flag for selection of RFFT or RIFFT */
S->ifftFlagR = (uint8_t) ifftFlagR;
/* Initialize the Flag for calculation Bit reversal or not */
S->bitReverseFlagR = (uint8_t) bitReverseFlag;
/* Initialization of coef modifier depending on the FFT length */
switch (S->fftLenReal)
{
case 8192u:
S->twidCoefRModifier = 1u;
S->pCfft = &arm_cfft_sR_q15_len4096;
break;
case 4096u:
S->twidCoefRModifier = 2u;
S->pCfft = &arm_cfft_sR_q15_len2048;
break;
case 2048u:
S->twidCoefRModifier = 4u;
S->pCfft = &arm_cfft_sR_q15_len1024;
break;
case 1024u:
S->twidCoefRModifier = 8u;
S->pCfft = &arm_cfft_sR_q15_len512;
break;
case 512u:
S->twidCoefRModifier = 16u;
S->pCfft = &arm_cfft_sR_q15_len256;
break;
case 256u:
S->twidCoefRModifier = 32u;
S->pCfft = &arm_cfft_sR_q15_len128;
break;
case 128u:
S->twidCoefRModifier = 64u;
S->pCfft = &arm_cfft_sR_q15_len64;
break;
case 64u:
S->twidCoefRModifier = 128u;
S->pCfft = &arm_cfft_sR_q15_len32;
break;
case 32u:
S->twidCoefRModifier = 256u;
S->pCfft = &arm_cfft_sR_q15_len16;
break;
default:
/* Reporting argument error if rfftSize is not valid value */
status = ARM_MATH_ARGUMENT_ERROR;
break;
}
/* return the status of RFFT Init function */
return (status);
}
/**
* @} end of RealFFT group
*/

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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_rfft_init_q31.c
*
* Description: RFFT & RIFFT Q31 initialisation function
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
#include "arm_common_tables.h"
#include "arm_const_structs.h"
/**
* @ingroup groupTransforms
*/
/**
* @addtogroup RealFFT
* @{
*/
/**
* \par
* Generation fixed-point realCoefAQ31 array in Q31 format:
* \par
* n = 4096
* <pre>for (i = 0; i < n; i++)
* {
* pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
* pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
* }</pre>
* \par
* Convert to fixed point Q31 format
* round(pATable[i] * pow(2, 31))
*/
static const q31_t realCoefAQ31[8192] = {
0x40000000, 0xc0000000, 0x3ff36f02, 0xc000013c,
0x3fe6de05, 0xc00004ef, 0x3fda4d09, 0xc0000b1a,
0x3fcdbc0f, 0xc00013bd, 0x3fc12b16, 0xc0001ed8,
0x3fb49a1f, 0xc0002c6a, 0x3fa8092c, 0xc0003c74,
0x3f9b783c, 0xc0004ef5, 0x3f8ee750, 0xc00063ee,
0x3f825668, 0xc0007b5f, 0x3f75c585, 0xc0009547,
0x3f6934a8, 0xc000b1a7, 0x3f5ca3d0, 0xc000d07e,
0x3f5012fe, 0xc000f1ce, 0x3f438234, 0xc0011594,
0x3f36f170, 0xc0013bd3, 0x3f2a60b4, 0xc0016489,
0x3f1dd001, 0xc0018fb6, 0x3f113f56, 0xc001bd5c,
0x3f04aeb5, 0xc001ed78, 0x3ef81e1d, 0xc002200d,
0x3eeb8d8f, 0xc0025519, 0x3edefd0c, 0xc0028c9c,
0x3ed26c94, 0xc002c697, 0x3ec5dc28, 0xc003030a,
0x3eb94bc8, 0xc00341f4, 0x3eacbb74, 0xc0038356,
0x3ea02b2e, 0xc003c72f, 0x3e939af5, 0xc0040d80,
0x3e870aca, 0xc0045648, 0x3e7a7aae, 0xc004a188,
0x3e6deaa1, 0xc004ef3f, 0x3e615aa3, 0xc0053f6e,
0x3e54cab5, 0xc0059214, 0x3e483ad8, 0xc005e731,
0x3e3bab0b, 0xc0063ec6, 0x3e2f1b50, 0xc00698d3,
0x3e228ba7, 0xc006f556, 0x3e15fc11, 0xc0075452,
0x3e096c8d, 0xc007b5c4, 0x3dfcdd1d, 0xc00819ae,
0x3df04dc0, 0xc008800f, 0x3de3be78, 0xc008e8e8,
0x3dd72f45, 0xc0095438, 0x3dcaa027, 0xc009c1ff,
0x3dbe111e, 0xc00a323d, 0x3db1822c, 0xc00aa4f3,
0x3da4f351, 0xc00b1a20, 0x3d98648d, 0xc00b91c4,
0x3d8bd5e1, 0xc00c0be0, 0x3d7f474d, 0xc00c8872,
0x3d72b8d2, 0xc00d077c, 0x3d662a70, 0xc00d88fd,
0x3d599c28, 0xc00e0cf5, 0x3d4d0df9, 0xc00e9364,
0x3d407fe6, 0xc00f1c4a, 0x3d33f1ed, 0xc00fa7a8,
0x3d276410, 0xc010357c, 0x3d1ad650, 0xc010c5c7,
0x3d0e48ab, 0xc011588a, 0x3d01bb24, 0xc011edc3,
0x3cf52dbb, 0xc0128574, 0x3ce8a06f, 0xc0131f9b,
0x3cdc1342, 0xc013bc39, 0x3ccf8634, 0xc0145b4e,
0x3cc2f945, 0xc014fcda, 0x3cb66c77, 0xc015a0dd,
0x3ca9dfc8, 0xc0164757, 0x3c9d533b, 0xc016f047,
0x3c90c6cf, 0xc0179bae, 0x3c843a85, 0xc018498c,
0x3c77ae5e, 0xc018f9e1, 0x3c6b2259, 0xc019acac,
0x3c5e9678, 0xc01a61ee, 0x3c520aba, 0xc01b19a7,
0x3c457f21, 0xc01bd3d6, 0x3c38f3ac, 0xc01c907c,
0x3c2c685d, 0xc01d4f99, 0x3c1fdd34, 0xc01e112b,
0x3c135231, 0xc01ed535, 0x3c06c754, 0xc01f9bb5,
0x3bfa3c9f, 0xc02064ab, 0x3bedb212, 0xc0213018,
0x3be127ac, 0xc021fdfb, 0x3bd49d70, 0xc022ce54,
0x3bc8135c, 0xc023a124, 0x3bbb8973, 0xc024766a,
0x3baeffb3, 0xc0254e27, 0x3ba2761e, 0xc0262859,
0x3b95ecb4, 0xc0270502, 0x3b896375, 0xc027e421,
0x3b7cda63, 0xc028c5b6, 0x3b70517d, 0xc029a9c1,
0x3b63c8c4, 0xc02a9042, 0x3b574039, 0xc02b7939,
0x3b4ab7db, 0xc02c64a6, 0x3b3e2fac, 0xc02d5289,
0x3b31a7ac, 0xc02e42e2, 0x3b251fdc, 0xc02f35b1,
0x3b18983b, 0xc0302af5, 0x3b0c10cb, 0xc03122b0,
0x3aff898c, 0xc0321ce0, 0x3af3027e, 0xc0331986,
0x3ae67ba2, 0xc03418a2, 0x3ad9f4f8, 0xc0351a33,
0x3acd6e81, 0xc0361e3a, 0x3ac0e83d, 0xc03724b6,
0x3ab4622d, 0xc0382da8, 0x3aa7dc52, 0xc0393910,
0x3a9b56ab, 0xc03a46ed, 0x3a8ed139, 0xc03b573f,
0x3a824bfd, 0xc03c6a07, 0x3a75c6f8, 0xc03d7f44,
0x3a694229, 0xc03e96f6, 0x3a5cbd91, 0xc03fb11d,
0x3a503930, 0xc040cdba, 0x3a43b508, 0xc041eccc,
0x3a373119, 0xc0430e53, 0x3a2aad62, 0xc044324f,
0x3a1e29e5, 0xc04558c0, 0x3a11a6a3, 0xc04681a6,
0x3a05239a, 0xc047ad01, 0x39f8a0cd, 0xc048dad1,
0x39ec1e3b, 0xc04a0b16, 0x39df9be6, 0xc04b3dcf,
0x39d319cc, 0xc04c72fe, 0x39c697f0, 0xc04daaa1,
0x39ba1651, 0xc04ee4b8, 0x39ad94f0, 0xc0502145,
0x39a113cd, 0xc0516045, 0x399492ea, 0xc052a1bb,
0x39881245, 0xc053e5a5, 0x397b91e1, 0xc0552c03,
0x396f11bc, 0xc05674d6, 0x396291d9, 0xc057c01d,
0x39561237, 0xc0590dd8, 0x394992d7, 0xc05a5e07,
0x393d13b8, 0xc05bb0ab, 0x393094dd, 0xc05d05c3,
0x39241645, 0xc05e5d4e, 0x391797f0, 0xc05fb74e,
0x390b19e0, 0xc06113c2, 0x38fe9c15, 0xc06272aa,
0x38f21e8e, 0xc063d405, 0x38e5a14d, 0xc06537d4,
0x38d92452, 0xc0669e18, 0x38cca79e, 0xc06806ce,
0x38c02b31, 0xc06971f9, 0x38b3af0c, 0xc06adf97,
0x38a7332e, 0xc06c4fa8, 0x389ab799, 0xc06dc22e,
0x388e3c4d, 0xc06f3726, 0x3881c14b, 0xc070ae92,
0x38754692, 0xc0722871, 0x3868cc24, 0xc073a4c3,
0x385c5201, 0xc0752389, 0x384fd829, 0xc076a4c2,
0x38435e9d, 0xc078286e, 0x3836e55d, 0xc079ae8c,
0x382a6c6a, 0xc07b371e, 0x381df3c5, 0xc07cc223,
0x38117b6d, 0xc07e4f9b, 0x38050364, 0xc07fdf85,
0x37f88ba9, 0xc08171e2, 0x37ec143e, 0xc08306b2,
0x37df9d22, 0xc0849df4, 0x37d32657, 0xc08637a9,
0x37c6afdc, 0xc087d3d0, 0x37ba39b3, 0xc089726a,
0x37adc3db, 0xc08b1376, 0x37a14e55, 0xc08cb6f5,
0x3794d922, 0xc08e5ce5, 0x37886442, 0xc0900548,
0x377befb5, 0xc091b01d, 0x376f7b7d, 0xc0935d64,
0x37630799, 0xc0950d1d, 0x3756940a, 0xc096bf48,
0x374a20d0, 0xc09873e4, 0x373daded, 0xc09a2af3,
0x37313b60, 0xc09be473, 0x3724c92a, 0xc09da065,
0x3718574b, 0xc09f5ec8, 0x370be5c4, 0xc0a11f9d,
0x36ff7496, 0xc0a2e2e3, 0x36f303c0, 0xc0a4a89b,
0x36e69344, 0xc0a670c4, 0x36da2321, 0xc0a83b5e,
0x36cdb359, 0xc0aa086a, 0x36c143ec, 0xc0abd7e6,
0x36b4d4d9, 0xc0ada9d4, 0x36a86623, 0xc0af7e33,
0x369bf7c9, 0xc0b15502, 0x368f89cb, 0xc0b32e42,
0x36831c2b, 0xc0b509f3, 0x3676aee8, 0xc0b6e815,
0x366a4203, 0xc0b8c8a7, 0x365dd57d, 0xc0baabaa,
0x36516956, 0xc0bc911d, 0x3644fd8f, 0xc0be7901,
0x36389228, 0xc0c06355, 0x362c2721, 0xc0c25019,
0x361fbc7b, 0xc0c43f4d, 0x36135237, 0xc0c630f2,
0x3606e854, 0xc0c82506, 0x35fa7ed4, 0xc0ca1b8a,
0x35ee15b7, 0xc0cc147f, 0x35e1acfd, 0xc0ce0fe3,
0x35d544a7, 0xc0d00db6, 0x35c8dcb6, 0xc0d20dfa,
0x35bc7529, 0xc0d410ad, 0x35b00e02, 0xc0d615cf,
0x35a3a740, 0xc0d81d61, 0x359740e5, 0xc0da2762,
0x358adaf0, 0xc0dc33d2, 0x357e7563, 0xc0de42b2,
0x3572103d, 0xc0e05401, 0x3565ab80, 0xc0e267be,
0x3559472b, 0xc0e47deb, 0x354ce33f, 0xc0e69686,
0x35407fbd, 0xc0e8b190, 0x35341ca5, 0xc0eacf09,
0x3527b9f7, 0xc0eceef1, 0x351b57b5, 0xc0ef1147,
0x350ef5de, 0xc0f1360b, 0x35029473, 0xc0f35d3e,
0x34f63374, 0xc0f586df, 0x34e9d2e3, 0xc0f7b2ee,
0x34dd72be, 0xc0f9e16b, 0x34d11308, 0xc0fc1257,
0x34c4b3c0, 0xc0fe45b0, 0x34b854e7, 0xc1007b77,
0x34abf67e, 0xc102b3ac, 0x349f9884, 0xc104ee4f,
0x34933afa, 0xc1072b5f, 0x3486dde1, 0xc1096add,
0x347a8139, 0xc10bacc8, 0x346e2504, 0xc10df120,
0x3461c940, 0xc11037e6, 0x34556def, 0xc1128119,
0x34491311, 0xc114ccb9, 0x343cb8a7, 0xc1171ac6,
0x34305eb0, 0xc1196b3f, 0x3424052f, 0xc11bbe26,
0x3417ac22, 0xc11e1379, 0x340b538b, 0xc1206b39,
0x33fefb6a, 0xc122c566, 0x33f2a3bf, 0xc12521ff,
0x33e64c8c, 0xc1278104, 0x33d9f5cf, 0xc129e276,
0x33cd9f8b, 0xc12c4653, 0x33c149bf, 0xc12eac9d,
0x33b4f46c, 0xc1311553, 0x33a89f92, 0xc1338075,
0x339c4b32, 0xc135ee02, 0x338ff74d, 0xc1385dfb,
0x3383a3e2, 0xc13ad060, 0x337750f2, 0xc13d4530,
0x336afe7e, 0xc13fbc6c, 0x335eac86, 0xc1423613,
0x33525b0b, 0xc144b225, 0x33460a0d, 0xc14730a3,
0x3339b98d, 0xc149b18b, 0x332d698a, 0xc14c34df,
0x33211a07, 0xc14eba9d, 0x3314cb02, 0xc15142c6,
0x33087c7d, 0xc153cd5a, 0x32fc2e77, 0xc1565a58,
0x32efe0f2, 0xc158e9c1, 0x32e393ef, 0xc15b7b94,
0x32d7476c, 0xc15e0fd1, 0x32cafb6b, 0xc160a678,
0x32beafed, 0xc1633f8a, 0x32b264f2, 0xc165db05,
0x32a61a7a, 0xc16878eb, 0x3299d085, 0xc16b193a,
0x328d8715, 0xc16dbbf3, 0x32813e2a, 0xc1706115,
0x3274f5c3, 0xc17308a1, 0x3268ade3, 0xc175b296,
0x325c6688, 0xc1785ef4, 0x32501fb5, 0xc17b0dbb,
0x3243d968, 0xc17dbeec, 0x323793a3, 0xc1807285,
0x322b4e66, 0xc1832888, 0x321f09b1, 0xc185e0f3,
0x3212c585, 0xc1889bc6, 0x320681e3, 0xc18b5903,
0x31fa3ecb, 0xc18e18a7, 0x31edfc3d, 0xc190dab4,
0x31e1ba3a, 0xc1939f29, 0x31d578c2, 0xc1966606,
0x31c937d6, 0xc1992f4c, 0x31bcf777, 0xc19bfaf9,
0x31b0b7a4, 0xc19ec90d, 0x31a4785e, 0xc1a1998a,
0x319839a6, 0xc1a46c6e, 0x318bfb7d, 0xc1a741b9,
0x317fbde2, 0xc1aa196c, 0x317380d6, 0xc1acf386,
0x31674459, 0xc1afd007, 0x315b086d, 0xc1b2aef0,
0x314ecd11, 0xc1b5903f, 0x31429247, 0xc1b873f5,
0x3136580d, 0xc1bb5a11, 0x312a1e66, 0xc1be4294,
0x311de551, 0xc1c12d7e, 0x3111accf, 0xc1c41ace,
0x310574e0, 0xc1c70a84, 0x30f93d86, 0xc1c9fca0,
0x30ed06bf, 0xc1ccf122, 0x30e0d08d, 0xc1cfe80a,
0x30d49af1, 0xc1d2e158, 0x30c865ea, 0xc1d5dd0c,
0x30bc317a, 0xc1d8db25, 0x30affda0, 0xc1dbdba3,
0x30a3ca5d, 0xc1dede87, 0x309797b2, 0xc1e1e3d0,
0x308b659f, 0xc1e4eb7e, 0x307f3424, 0xc1e7f591,
0x30730342, 0xc1eb0209, 0x3066d2fa, 0xc1ee10e5,
0x305aa34c, 0xc1f12227, 0x304e7438, 0xc1f435cc,
0x304245c0, 0xc1f74bd6, 0x303617e2, 0xc1fa6445,
0x3029eaa1, 0xc1fd7f17, 0x301dbdfb, 0xc2009c4e,
0x301191f3, 0xc203bbe8, 0x30056687, 0xc206dde6,
0x2ff93bba, 0xc20a0248, 0x2fed118a, 0xc20d290d,
0x2fe0e7f9, 0xc2105236, 0x2fd4bf08, 0xc2137dc2,
0x2fc896b5, 0xc216abb1, 0x2fbc6f03, 0xc219dc03,
0x2fb047f2, 0xc21d0eb8, 0x2fa42181, 0xc22043d0,
0x2f97fbb2, 0xc2237b4b, 0x2f8bd685, 0xc226b528,
0x2f7fb1fa, 0xc229f167, 0x2f738e12, 0xc22d3009,
0x2f676ace, 0xc230710d, 0x2f5b482d, 0xc233b473,
0x2f4f2630, 0xc236fa3b, 0x2f4304d8, 0xc23a4265,
0x2f36e426, 0xc23d8cf1, 0x2f2ac419, 0xc240d9de,
0x2f1ea4b2, 0xc244292c, 0x2f1285f2, 0xc2477adc,
0x2f0667d9, 0xc24aceed, 0x2efa4a67, 0xc24e255e,
0x2eee2d9d, 0xc2517e31, 0x2ee2117c, 0xc254d965,
0x2ed5f604, 0xc25836f9, 0x2ec9db35, 0xc25b96ee,
0x2ebdc110, 0xc25ef943, 0x2eb1a796, 0xc2625df8,
0x2ea58ec6, 0xc265c50e, 0x2e9976a1, 0xc2692e83,
0x2e8d5f29, 0xc26c9a58, 0x2e81485c, 0xc270088e,
0x2e75323c, 0xc2737922, 0x2e691cc9, 0xc276ec16,
0x2e5d0804, 0xc27a616a, 0x2e50f3ed, 0xc27dd91c,
0x2e44e084, 0xc281532e, 0x2e38cdcb, 0xc284cf9f,
0x2e2cbbc1, 0xc2884e6e, 0x2e20aa67, 0xc28bcf9c,
0x2e1499bd, 0xc28f5329, 0x2e0889c4, 0xc292d914,
0x2dfc7a7c, 0xc296615d, 0x2df06be6, 0xc299ec05,
0x2de45e03, 0xc29d790a, 0x2dd850d2, 0xc2a1086d,
0x2dcc4454, 0xc2a49a2e, 0x2dc0388a, 0xc2a82e4d,
0x2db42d74, 0xc2abc4c9, 0x2da82313, 0xc2af5da2,
0x2d9c1967, 0xc2b2f8d8, 0x2d901070, 0xc2b6966c,
0x2d84082f, 0xc2ba365c, 0x2d7800a5, 0xc2bdd8a9,
0x2d6bf9d1, 0xc2c17d52, 0x2d5ff3b5, 0xc2c52459,
0x2d53ee51, 0xc2c8cdbb, 0x2d47e9a5, 0xc2cc7979,
0x2d3be5b1, 0xc2d02794, 0x2d2fe277, 0xc2d3d80a,
0x2d23dff7, 0xc2d78add, 0x2d17de31, 0xc2db400a,
0x2d0bdd25, 0xc2def794, 0x2cffdcd4, 0xc2e2b178,
0x2cf3dd3f, 0xc2e66db8, 0x2ce7de66, 0xc2ea2c53,
0x2cdbe04a, 0xc2eded49, 0x2ccfe2ea, 0xc2f1b099,
0x2cc3e648, 0xc2f57644, 0x2cb7ea63, 0xc2f93e4a,
0x2cabef3d, 0xc2fd08a9, 0x2c9ff4d6, 0xc300d563,
0x2c93fb2e, 0xc304a477, 0x2c880245, 0xc30875e5,
0x2c7c0a1d, 0xc30c49ad, 0x2c7012b5, 0xc3101fce,
0x2c641c0e, 0xc313f848, 0x2c582629, 0xc317d31c,
0x2c4c3106, 0xc31bb049, 0x2c403ca5, 0xc31f8fcf,
0x2c344908, 0xc32371ae, 0x2c28562d, 0xc32755e5,
0x2c1c6417, 0xc32b3c75, 0x2c1072c4, 0xc32f255e,
0x2c048237, 0xc333109e, 0x2bf8926f, 0xc336fe37,
0x2beca36c, 0xc33aee27, 0x2be0b52f, 0xc33ee070,
0x2bd4c7ba, 0xc342d510, 0x2bc8db0b, 0xc346cc07,
0x2bbcef23, 0xc34ac556, 0x2bb10404, 0xc34ec0fc,
0x2ba519ad, 0xc352bef9, 0x2b99301f, 0xc356bf4d,
0x2b8d475b, 0xc35ac1f7, 0x2b815f60, 0xc35ec6f8,
0x2b75782f, 0xc362ce50, 0x2b6991ca, 0xc366d7fd,
0x2b5dac2f, 0xc36ae401, 0x2b51c760, 0xc36ef25b,
0x2b45e35d, 0xc373030a, 0x2b3a0027, 0xc377160f,
0x2b2e1dbe, 0xc37b2b6a, 0x2b223c22, 0xc37f4319,
0x2b165b54, 0xc3835d1e, 0x2b0a7b54, 0xc3877978,
0x2afe9c24, 0xc38b9827, 0x2af2bdc3, 0xc38fb92a,
0x2ae6e031, 0xc393dc82, 0x2adb0370, 0xc398022f,
0x2acf277f, 0xc39c2a2f, 0x2ac34c60, 0xc3a05484,
0x2ab77212, 0xc3a4812c, 0x2aab9896, 0xc3a8b028,
0x2a9fbfed, 0xc3ace178, 0x2a93e817, 0xc3b1151b,
0x2a881114, 0xc3b54b11, 0x2a7c3ae5, 0xc3b9835a,
0x2a70658a, 0xc3bdbdf6, 0x2a649105, 0xc3c1fae5,
0x2a58bd54, 0xc3c63a26, 0x2a4cea79, 0xc3ca7bba,
0x2a411874, 0xc3cebfa0, 0x2a354746, 0xc3d305d8,
0x2a2976ef, 0xc3d74e62, 0x2a1da770, 0xc3db993e,
0x2a11d8c8, 0xc3dfe66c, 0x2a060af9, 0xc3e435ea,
0x29fa3e03, 0xc3e887bb, 0x29ee71e6, 0xc3ecdbdc,
0x29e2a6a3, 0xc3f1324e, 0x29d6dc3b, 0xc3f58b10,
0x29cb12ad, 0xc3f9e624, 0x29bf49fa, 0xc3fe4388,
0x29b38223, 0xc402a33c, 0x29a7bb28, 0xc4070540,
0x299bf509, 0xc40b6994, 0x29902fc7, 0xc40fd037,
0x29846b63, 0xc414392b, 0x2978a7dd, 0xc418a46d,
0x296ce535, 0xc41d11ff, 0x2961236c, 0xc42181e0,
0x29556282, 0xc425f410, 0x2949a278, 0xc42a688f,
0x293de34e, 0xc42edf5c, 0x29322505, 0xc4335877,
0x2926679c, 0xc437d3e1, 0x291aab16, 0xc43c5199,
0x290eef71, 0xc440d19e, 0x290334af, 0xc44553f2,
0x28f77acf, 0xc449d892, 0x28ebc1d3, 0xc44e5f80,
0x28e009ba, 0xc452e8bc, 0x28d45286, 0xc4577444,
0x28c89c37, 0xc45c0219, 0x28bce6cd, 0xc460923b,
0x28b13248, 0xc46524a9, 0x28a57ea9, 0xc469b963,
0x2899cbf1, 0xc46e5069, 0x288e1a20, 0xc472e9bc,
0x28826936, 0xc477855a, 0x2876b934, 0xc47c2344,
0x286b0a1a, 0xc480c379, 0x285f5be9, 0xc48565f9,
0x2853aea1, 0xc48a0ac4, 0x28480243, 0xc48eb1db,
0x283c56cf, 0xc4935b3c, 0x2830ac45, 0xc49806e7,
0x282502a7, 0xc49cb4dd, 0x281959f4, 0xc4a1651c,
0x280db22d, 0xc4a617a6, 0x28020b52, 0xc4aacc7a,
0x27f66564, 0xc4af8397, 0x27eac063, 0xc4b43cfd,
0x27df1c50, 0xc4b8f8ad, 0x27d3792b, 0xc4bdb6a6,
0x27c7d6f4, 0xc4c276e8, 0x27bc35ad, 0xc4c73972,
0x27b09555, 0xc4cbfe45, 0x27a4f5ed, 0xc4d0c560,
0x27995776, 0xc4d58ec3, 0x278db9ef, 0xc4da5a6f,
0x27821d59, 0xc4df2862, 0x277681b6, 0xc4e3f89c,
0x276ae704, 0xc4e8cb1e, 0x275f4d45, 0xc4ed9fe7,
0x2753b479, 0xc4f276f7, 0x27481ca1, 0xc4f7504e,
0x273c85bc, 0xc4fc2bec, 0x2730efcc, 0xc50109d0,
0x27255ad1, 0xc505e9fb, 0x2719c6cb, 0xc50acc6b,
0x270e33bb, 0xc50fb121, 0x2702a1a1, 0xc514981d,
0x26f7107e, 0xc519815f, 0x26eb8052, 0xc51e6ce6,
0x26dff11d, 0xc5235ab2, 0x26d462e1, 0xc5284ac3,
0x26c8d59c, 0xc52d3d18, 0x26bd4951, 0xc53231b3,
0x26b1bdff, 0xc5372891, 0x26a633a6, 0xc53c21b4,
0x269aaa48, 0xc5411d1b, 0x268f21e5, 0xc5461ac6,
0x26839a7c, 0xc54b1ab4, 0x26781410, 0xc5501ce5,
0x266c8e9f, 0xc555215a, 0x26610a2a, 0xc55a2812,
0x265586b3, 0xc55f310d, 0x264a0438, 0xc5643c4a,
0x263e82bc, 0xc56949ca, 0x2633023e, 0xc56e598c,
0x262782be, 0xc5736b90, 0x261c043d, 0xc5787fd6,
0x261086bc, 0xc57d965d, 0x26050a3b, 0xc582af26,
0x25f98ebb, 0xc587ca31, 0x25ee143b, 0xc58ce77c,
0x25e29abc, 0xc5920708, 0x25d72240, 0xc59728d5,
0x25cbaac5, 0xc59c4ce3, 0x25c0344d, 0xc5a17330,
0x25b4bed8, 0xc5a69bbe, 0x25a94a67, 0xc5abc68c,
0x259dd6f9, 0xc5b0f399, 0x25926490, 0xc5b622e6,
0x2586f32c, 0xc5bb5472, 0x257b82cd, 0xc5c0883d,
0x25701374, 0xc5c5be47, 0x2564a521, 0xc5caf690,
0x255937d5, 0xc5d03118, 0x254dcb8f, 0xc5d56ddd,
0x25426051, 0xc5daace1, 0x2536f61b, 0xc5dfee22,
0x252b8cee, 0xc5e531a1, 0x252024c9, 0xc5ea775e,
0x2514bdad, 0xc5efbf58, 0x2509579b, 0xc5f5098f,
0x24fdf294, 0xc5fa5603, 0x24f28e96, 0xc5ffa4b3,
0x24e72ba4, 0xc604f5a0, 0x24dbc9bd, 0xc60a48c9,
0x24d068e2, 0xc60f9e2e, 0x24c50914, 0xc614f5cf,
0x24b9aa52, 0xc61a4fac, 0x24ae4c9d, 0xc61fabc4,
0x24a2eff6, 0xc6250a18, 0x2497945d, 0xc62a6aa6,
0x248c39d3, 0xc62fcd6f, 0x2480e057, 0xc6353273,
0x247587eb, 0xc63a99b1, 0x246a308f, 0xc6400329,
0x245eda43, 0xc6456edb, 0x24538507, 0xc64adcc7,
0x244830dd, 0xc6504ced, 0x243cddc4, 0xc655bf4c,
0x24318bbe, 0xc65b33e4, 0x24263ac9, 0xc660aab5,
0x241aeae8, 0xc66623be, 0x240f9c1a, 0xc66b9f01,
0x24044e60, 0xc6711c7b, 0x23f901ba, 0xc6769c2e,
0x23edb628, 0xc67c1e18, 0x23e26bac, 0xc681a23a,
0x23d72245, 0xc6872894, 0x23cbd9f4, 0xc68cb124,
0x23c092b9, 0xc6923bec, 0x23b54c95, 0xc697c8eb,
0x23aa0788, 0xc69d5820, 0x239ec393, 0xc6a2e98b,
0x239380b6, 0xc6a87d2d, 0x23883ef2, 0xc6ae1304,
0x237cfe47, 0xc6b3ab12, 0x2371beb5, 0xc6b94554,
0x2366803c, 0xc6bee1cd, 0x235b42df, 0xc6c4807a,
0x2350069b, 0xc6ca215c, 0x2344cb73, 0xc6cfc472,
0x23399167, 0xc6d569be, 0x232e5876, 0xc6db113d,
0x232320a2, 0xc6e0baf0, 0x2317e9eb, 0xc6e666d7,
0x230cb451, 0xc6ec14f2, 0x23017fd5, 0xc6f1c540,
0x22f64c77, 0xc6f777c1, 0x22eb1a37, 0xc6fd2c75,
0x22dfe917, 0xc702e35c, 0x22d4b916, 0xc7089c75,
0x22c98a35, 0xc70e57c0, 0x22be5c74, 0xc714153e,
0x22b32fd4, 0xc719d4ed, 0x22a80456, 0xc71f96ce,
0x229cd9f8, 0xc7255ae0, 0x2291b0bd, 0xc72b2123,
0x228688a4, 0xc730e997, 0x227b61af, 0xc736b43c,
0x22703bdc, 0xc73c8111, 0x2265172e, 0xc7425016,
0x2259f3a3, 0xc748214c, 0x224ed13d, 0xc74df4b1,
0x2243affc, 0xc753ca46, 0x22388fe1, 0xc759a20a,
0x222d70eb, 0xc75f7bfe, 0x2222531c, 0xc7655820,
0x22173674, 0xc76b3671, 0x220c1af3, 0xc77116f0,
0x22010099, 0xc776f99d, 0x21f5e768, 0xc77cde79,
0x21eacf5f, 0xc782c582, 0x21dfb87f, 0xc788aeb9,
0x21d4a2c8, 0xc78e9a1d, 0x21c98e3b, 0xc79487ae,
0x21be7ad8, 0xc79a776c, 0x21b368a0, 0xc7a06957,
0x21a85793, 0xc7a65d6e, 0x219d47b1, 0xc7ac53b1,
0x219238fb, 0xc7b24c20, 0x21872b72, 0xc7b846ba,
0x217c1f15, 0xc7be4381, 0x217113e5, 0xc7c44272,
0x216609e3, 0xc7ca438f, 0x215b0110, 0xc7d046d6,
0x214ff96a, 0xc7d64c47, 0x2144f2f3, 0xc7dc53e3,
0x2139edac, 0xc7e25daa, 0x212ee995, 0xc7e8699a,
0x2123e6ad, 0xc7ee77b3, 0x2118e4f6, 0xc7f487f6,
0x210de470, 0xc7fa9a62, 0x2102e51c, 0xc800aef7,
0x20f7e6f9, 0xc806c5b5, 0x20ecea09, 0xc80cde9b,
0x20e1ee4b, 0xc812f9a9, 0x20d6f3c1, 0xc81916df,
0x20cbfa6a, 0xc81f363d, 0x20c10247, 0xc82557c3,
0x20b60b58, 0xc82b7b70, 0x20ab159e, 0xc831a143,
0x20a0211a, 0xc837c93e, 0x20952dcb, 0xc83df35f,
0x208a3bb2, 0xc8441fa6, 0x207f4acf, 0xc84a4e14,
0x20745b24, 0xc8507ea7, 0x20696cb0, 0xc856b160,
0x205e7f74, 0xc85ce63e, 0x2053936f, 0xc8631d42,
0x2048a8a4, 0xc869566a, 0x203dbf11, 0xc86f91b7,
0x2032d6b8, 0xc875cf28, 0x2027ef99, 0xc87c0ebd,
0x201d09b4, 0xc8825077, 0x2012250a, 0xc8889454,
0x2007419b, 0xc88eda54, 0x1ffc5f67, 0xc8952278,
0x1ff17e70, 0xc89b6cbf, 0x1fe69eb4, 0xc8a1b928,
0x1fdbc036, 0xc8a807b4, 0x1fd0e2f5, 0xc8ae5862,
0x1fc606f1, 0xc8b4ab32, 0x1fbb2c2c, 0xc8bb0023,
0x1fb052a5, 0xc8c15736, 0x1fa57a5d, 0xc8c7b06b,
0x1f9aa354, 0xc8ce0bc0, 0x1f8fcd8b, 0xc8d46936,
0x1f84f902, 0xc8dac8cd, 0x1f7a25ba, 0xc8e12a84,
0x1f6f53b3, 0xc8e78e5b, 0x1f6482ed, 0xc8edf452,
0x1f59b369, 0xc8f45c68, 0x1f4ee527, 0xc8fac69e,
0x1f441828, 0xc90132f2, 0x1f394c6b, 0xc907a166,
0x1f2e81f3, 0xc90e11f7, 0x1f23b8be, 0xc91484a8,
0x1f18f0ce, 0xc91af976, 0x1f0e2a22, 0xc9217062,
0x1f0364bc, 0xc927e96b, 0x1ef8a09b, 0xc92e6492,
0x1eedddc0, 0xc934e1d6, 0x1ee31c2b, 0xc93b6137,
0x1ed85bdd, 0xc941e2b4, 0x1ecd9cd7, 0xc948664d,
0x1ec2df18, 0xc94eec03, 0x1eb822a1, 0xc95573d4,
0x1ead6773, 0xc95bfdc1, 0x1ea2ad8d, 0xc96289c9,
0x1e97f4f1, 0xc96917ec, 0x1e8d3d9e, 0xc96fa82a,
0x1e828796, 0xc9763a83, 0x1e77d2d8, 0xc97ccef5,
0x1e6d1f65, 0xc9836582, 0x1e626d3e, 0xc989fe29,
0x1e57bc62, 0xc99098e9, 0x1e4d0cd2, 0xc99735c2,
0x1e425e8f, 0xc99dd4b4, 0x1e37b199, 0xc9a475bf,
0x1e2d05f1, 0xc9ab18e3, 0x1e225b96, 0xc9b1be1e,
0x1e17b28a, 0xc9b86572, 0x1e0d0acc, 0xc9bf0edd,
0x1e02645d, 0xc9c5ba60, 0x1df7bf3e, 0xc9cc67fa,
0x1ded1b6e, 0xc9d317ab, 0x1de278ef, 0xc9d9c973,
0x1dd7d7c1, 0xc9e07d51, 0x1dcd37e4, 0xc9e73346,
0x1dc29958, 0xc9edeb50, 0x1db7fc1e, 0xc9f4a570,
0x1dad6036, 0xc9fb61a5, 0x1da2c5a2, 0xca021fef,
0x1d982c60, 0xca08e04f, 0x1d8d9472, 0xca0fa2c3,
0x1d82fdd8, 0xca16674b, 0x1d786892, 0xca1d2de7,
0x1d6dd4a2, 0xca23f698, 0x1d634206, 0xca2ac15b,
0x1d58b0c0, 0xca318e32, 0x1d4e20d0, 0xca385d1d,
0x1d439236, 0xca3f2e19, 0x1d3904f4, 0xca460129,
0x1d2e7908, 0xca4cd64b, 0x1d23ee74, 0xca53ad7e,
0x1d196538, 0xca5a86c4, 0x1d0edd55, 0xca61621b,
0x1d0456ca, 0xca683f83, 0x1cf9d199, 0xca6f1efc,
0x1cef4dc2, 0xca760086, 0x1ce4cb44, 0xca7ce420,
0x1cda4a21, 0xca83c9ca, 0x1ccfca59, 0xca8ab184,
0x1cc54bec, 0xca919b4e, 0x1cbacedb, 0xca988727,
0x1cb05326, 0xca9f750f, 0x1ca5d8cd, 0xcaa66506,
0x1c9b5fd2, 0xcaad570c, 0x1c90e834, 0xcab44b1f,
0x1c8671f3, 0xcabb4141, 0x1c7bfd11, 0xcac23971,
0x1c71898d, 0xcac933ae, 0x1c671768, 0xcad02ff8,
0x1c5ca6a2, 0xcad72e4f, 0x1c52373c, 0xcade2eb3,
0x1c47c936, 0xcae53123, 0x1c3d5c91, 0xcaec35a0,
0x1c32f14d, 0xcaf33c28, 0x1c28876a, 0xcafa44bc,
0x1c1e1ee9, 0xcb014f5b, 0x1c13b7c9, 0xcb085c05,
0x1c09520d, 0xcb0f6aba, 0x1bfeedb3, 0xcb167b79,
0x1bf48abd, 0xcb1d8e43, 0x1bea292b, 0xcb24a316,
0x1bdfc8fc, 0xcb2bb9f4, 0x1bd56a32, 0xcb32d2da,
0x1bcb0cce, 0xcb39edca, 0x1bc0b0ce, 0xcb410ac3,
0x1bb65634, 0xcb4829c4, 0x1babfd01, 0xcb4f4acd,
0x1ba1a534, 0xcb566ddf, 0x1b974ece, 0xcb5d92f8,
0x1b8cf9cf, 0xcb64ba19, 0x1b82a638, 0xcb6be341,
0x1b785409, 0xcb730e70, 0x1b6e0342, 0xcb7a3ba5,
0x1b63b3e5, 0xcb816ae1, 0x1b5965f1, 0xcb889c23,
0x1b4f1967, 0xcb8fcf6b, 0x1b44ce46, 0xcb9704b9,
0x1b3a8491, 0xcb9e3c0b, 0x1b303c46, 0xcba57563,
0x1b25f566, 0xcbacb0bf, 0x1b1baff2, 0xcbb3ee20,
0x1b116beb, 0xcbbb2d85, 0x1b072950, 0xcbc26eee,
0x1afce821, 0xcbc9b25a, 0x1af2a860, 0xcbd0f7ca,
0x1ae86a0d, 0xcbd83f3d, 0x1ade2d28, 0xcbdf88b3,
0x1ad3f1b1, 0xcbe6d42b, 0x1ac9b7a9, 0xcbee21a5,
0x1abf7f11, 0xcbf57121, 0x1ab547e8, 0xcbfcc29f,
0x1aab122f, 0xcc04161e, 0x1aa0dde7, 0xcc0b6b9e,
0x1a96ab0f, 0xcc12c31f, 0x1a8c79a9, 0xcc1a1ca0,
0x1a8249b4, 0xcc217822, 0x1a781b31, 0xcc28d5a3,
0x1a6dee21, 0xcc303524, 0x1a63c284, 0xcc3796a5,
0x1a599859, 0xcc3efa25, 0x1a4f6fa3, 0xcc465fa3,
0x1a454860, 0xcc4dc720, 0x1a3b2292, 0xcc55309b,
0x1a30fe38, 0xcc5c9c14, 0x1a26db54, 0xcc64098b,
0x1a1cb9e5, 0xcc6b78ff, 0x1a1299ec, 0xcc72ea70,
0x1a087b69, 0xcc7a5dde, 0x19fe5e5e, 0xcc81d349,
0x19f442c9, 0xcc894aaf, 0x19ea28ac, 0xcc90c412,
0x19e01006, 0xcc983f70, 0x19d5f8d9, 0xcc9fbcca,
0x19cbe325, 0xcca73c1e, 0x19c1cee9, 0xccaebd6e,
0x19b7bc27, 0xccb640b8, 0x19adaadf, 0xccbdc5fc,
0x19a39b11, 0xccc54d3a, 0x19998cbe, 0xccccd671,
0x198f7fe6, 0xccd461a2, 0x19857489, 0xccdbeecc,
0x197b6aa8, 0xcce37def, 0x19716243, 0xcceb0f0a,
0x19675b5a, 0xccf2a21d, 0x195d55ef, 0xccfa3729,
0x19535201, 0xcd01ce2b, 0x19494f90, 0xcd096725,
0x193f4e9e, 0xcd110216, 0x19354f2a, 0xcd189efe,
0x192b5135, 0xcd203ddc, 0x192154bf, 0xcd27deb0,
0x191759c9, 0xcd2f817b, 0x190d6053, 0xcd37263a,
0x1903685d, 0xcd3eccef, 0x18f971e8, 0xcd467599,
0x18ef7cf4, 0xcd4e2037, 0x18e58982, 0xcd55ccca,
0x18db9792, 0xcd5d7b50, 0x18d1a724, 0xcd652bcb,
0x18c7b838, 0xcd6cde39, 0x18bdcad0, 0xcd74929a,
0x18b3deeb, 0xcd7c48ee, 0x18a9f48a, 0xcd840134,
0x18a00bae, 0xcd8bbb6d, 0x18962456, 0xcd937798,
0x188c3e83, 0xcd9b35b4, 0x18825a35, 0xcda2f5c2,
0x1878776d, 0xcdaab7c0, 0x186e962b, 0xcdb27bb0,
0x1864b670, 0xcdba4190, 0x185ad83c, 0xcdc20960,
0x1850fb8e, 0xcdc9d320, 0x18472069, 0xcdd19ed0,
0x183d46cc, 0xcdd96c6f, 0x18336eb7, 0xcde13bfd,
0x1829982b, 0xcde90d79, 0x181fc328, 0xcdf0e0e4,
0x1815efae, 0xcdf8b63d, 0x180c1dbf, 0xce008d84,
0x18024d59, 0xce0866b8, 0x17f87e7f, 0xce1041d9,
0x17eeb130, 0xce181ee8, 0x17e4e56c, 0xce1ffde2,
0x17db1b34, 0xce27dec9, 0x17d15288, 0xce2fc19c,
0x17c78b68, 0xce37a65b, 0x17bdc5d6, 0xce3f8d05,
0x17b401d1, 0xce47759a, 0x17aa3f5a, 0xce4f6019,
0x17a07e70, 0xce574c84, 0x1796bf16, 0xce5f3ad8,
0x178d014a, 0xce672b16, 0x1783450d, 0xce6f1d3d,
0x17798a60, 0xce77114e, 0x176fd143, 0xce7f0748,
0x176619b6, 0xce86ff2a, 0x175c63ba, 0xce8ef8f4,
0x1752af4f, 0xce96f4a7, 0x1748fc75, 0xce9ef241,
0x173f4b2e, 0xcea6f1c2, 0x17359b78, 0xceaef32b,
0x172bed55, 0xceb6f67a, 0x172240c5, 0xcebefbb0,
0x171895c9, 0xcec702cb, 0x170eec60, 0xcecf0bcd,
0x1705448b, 0xced716b4, 0x16fb9e4b, 0xcedf2380,
0x16f1f99f, 0xcee73231, 0x16e85689, 0xceef42c7,
0x16deb508, 0xcef75541, 0x16d5151d, 0xceff699f,
0x16cb76c9, 0xcf077fe1, 0x16c1da0b, 0xcf0f9805,
0x16b83ee4, 0xcf17b20d, 0x16aea555, 0xcf1fcdf8,
0x16a50d5d, 0xcf27ebc5, 0x169b76fe, 0xcf300b74,
0x1691e237, 0xcf382d05, 0x16884f09, 0xcf405077,
0x167ebd74, 0xcf4875ca, 0x16752d79, 0xcf509cfe,
0x166b9f18, 0xcf58c613, 0x16621251, 0xcf60f108,
0x16588725, 0xcf691ddd, 0x164efd94, 0xcf714c91,
0x1645759f, 0xcf797d24, 0x163bef46, 0xcf81af97,
0x16326a88, 0xcf89e3e8, 0x1628e767, 0xcf921a17,
0x161f65e4, 0xcf9a5225, 0x1615e5fd, 0xcfa28c10,
0x160c67b4, 0xcfaac7d8, 0x1602eb0a, 0xcfb3057d,
0x15f96ffd, 0xcfbb4500, 0x15eff690, 0xcfc3865e,
0x15e67ec1, 0xcfcbc999, 0x15dd0892, 0xcfd40eaf,
0x15d39403, 0xcfdc55a1, 0x15ca2115, 0xcfe49e6d,
0x15c0afc6, 0xcfece915, 0x15b74019, 0xcff53597,
0x15add20d, 0xcffd83f4, 0x15a465a3, 0xd005d42a,
0x159afadb, 0xd00e2639, 0x159191b5, 0xd0167a22,
0x15882a32, 0xd01ecfe4, 0x157ec452, 0xd027277e,
0x15756016, 0xd02f80f1, 0x156bfd7d, 0xd037dc3b,
0x15629c89, 0xd040395d, 0x15593d3a, 0xd0489856,
0x154fdf8f, 0xd050f926, 0x15468389, 0xd0595bcd,
0x153d292a, 0xd061c04a, 0x1533d070, 0xd06a269d,
0x152a795d, 0xd0728ec6, 0x152123f0, 0xd07af8c4,
0x1517d02b, 0xd0836497, 0x150e7e0d, 0xd08bd23f,
0x15052d97, 0xd09441bb, 0x14fbdec9, 0xd09cb30b,
0x14f291a4, 0xd0a5262f, 0x14e94627, 0xd0ad9b26,
0x14dffc54, 0xd0b611f1, 0x14d6b42b, 0xd0be8a8d,
0x14cd6dab, 0xd0c704fd, 0x14c428d6, 0xd0cf813e,
0x14bae5ab, 0xd0d7ff51, 0x14b1a42c, 0xd0e07f36,
0x14a86458, 0xd0e900ec, 0x149f2630, 0xd0f18472,
0x1495e9b3, 0xd0fa09c9, 0x148caee4, 0xd10290f0,
0x148375c1, 0xd10b19e7, 0x147a3e4b, 0xd113a4ad,
0x14710883, 0xd11c3142, 0x1467d469, 0xd124bfa6,
0x145ea1fd, 0xd12d4fd9, 0x14557140, 0xd135e1d9,
0x144c4232, 0xd13e75a8, 0x144314d3, 0xd1470b44,
0x1439e923, 0xd14fa2ad, 0x1430bf24, 0xd1583be2,
0x142796d5, 0xd160d6e5, 0x141e7037, 0xd16973b3,
0x14154b4a, 0xd172124d, 0x140c280e, 0xd17ab2b3,
0x14030684, 0xd18354e4, 0x13f9e6ad, 0xd18bf8e0,
0x13f0c887, 0xd1949ea6, 0x13e7ac15, 0xd19d4636,
0x13de9156, 0xd1a5ef90, 0x13d5784a, 0xd1ae9ab4,
0x13cc60f2, 0xd1b747a0, 0x13c34b4f, 0xd1bff656,
0x13ba3760, 0xd1c8a6d4, 0x13b12526, 0xd1d1591a,
0x13a814a2, 0xd1da0d28, 0x139f05d3, 0xd1e2c2fd,
0x1395f8ba, 0xd1eb7a9a, 0x138ced57, 0xd1f433fd,
0x1383e3ab, 0xd1fcef27, 0x137adbb6, 0xd205ac17,
0x1371d579, 0xd20e6acc, 0x1368d0f3, 0xd2172b48,
0x135fce26, 0xd21fed88, 0x1356cd11, 0xd228b18d,
0x134dcdb4, 0xd2317756, 0x1344d011, 0xd23a3ee4,
0x133bd427, 0xd2430835, 0x1332d9f7, 0xd24bd34a,
0x1329e181, 0xd254a021, 0x1320eac6, 0xd25d6ebc,
0x1317f5c6, 0xd2663f19, 0x130f0280, 0xd26f1138,
0x130610f7, 0xd277e518, 0x12fd2129, 0xd280babb,
0x12f43318, 0xd289921e, 0x12eb46c3, 0xd2926b41,
0x12e25c2b, 0xd29b4626, 0x12d97350, 0xd2a422ca,
0x12d08c33, 0xd2ad012e, 0x12c7a6d4, 0xd2b5e151,
0x12bec333, 0xd2bec333, 0x12b5e151, 0xd2c7a6d4,
0x12ad012e, 0xd2d08c33, 0x12a422ca, 0xd2d97350,
0x129b4626, 0xd2e25c2b, 0x12926b41, 0xd2eb46c3,
0x1289921e, 0xd2f43318, 0x1280babb, 0xd2fd2129,
0x1277e518, 0xd30610f7, 0x126f1138, 0xd30f0280,
0x12663f19, 0xd317f5c6, 0x125d6ebc, 0xd320eac6,
0x1254a021, 0xd329e181, 0x124bd34a, 0xd332d9f7,
0x12430835, 0xd33bd427, 0x123a3ee4, 0xd344d011,
0x12317756, 0xd34dcdb4, 0x1228b18d, 0xd356cd11,
0x121fed88, 0xd35fce26, 0x12172b48, 0xd368d0f3,
0x120e6acc, 0xd371d579, 0x1205ac17, 0xd37adbb6,
0x11fcef27, 0xd383e3ab, 0x11f433fd, 0xd38ced57,
0x11eb7a9a, 0xd395f8ba, 0x11e2c2fd, 0xd39f05d3,
0x11da0d28, 0xd3a814a2, 0x11d1591a, 0xd3b12526,
0x11c8a6d4, 0xd3ba3760, 0x11bff656, 0xd3c34b4f,
0x11b747a0, 0xd3cc60f2, 0x11ae9ab4, 0xd3d5784a,
0x11a5ef90, 0xd3de9156, 0x119d4636, 0xd3e7ac15,
0x11949ea6, 0xd3f0c887, 0x118bf8e0, 0xd3f9e6ad,
0x118354e4, 0xd4030684, 0x117ab2b3, 0xd40c280e,
0x1172124d, 0xd4154b4a, 0x116973b3, 0xd41e7037,
0x1160d6e5, 0xd42796d5, 0x11583be2, 0xd430bf24,
0x114fa2ad, 0xd439e923, 0x11470b44, 0xd44314d3,
0x113e75a8, 0xd44c4232, 0x1135e1d9, 0xd4557140,
0x112d4fd9, 0xd45ea1fd, 0x1124bfa6, 0xd467d469,
0x111c3142, 0xd4710883, 0x1113a4ad, 0xd47a3e4b,
0x110b19e7, 0xd48375c1, 0x110290f0, 0xd48caee4,
0x10fa09c9, 0xd495e9b3, 0x10f18472, 0xd49f2630,
0x10e900ec, 0xd4a86458, 0x10e07f36, 0xd4b1a42c,
0x10d7ff51, 0xd4bae5ab, 0x10cf813e, 0xd4c428d6,
0x10c704fd, 0xd4cd6dab, 0x10be8a8d, 0xd4d6b42b,
0x10b611f1, 0xd4dffc54, 0x10ad9b26, 0xd4e94627,
0x10a5262f, 0xd4f291a4, 0x109cb30b, 0xd4fbdec9,
0x109441bb, 0xd5052d97, 0x108bd23f, 0xd50e7e0d,
0x10836497, 0xd517d02b, 0x107af8c4, 0xd52123f0,
0x10728ec6, 0xd52a795d, 0x106a269d, 0xd533d070,
0x1061c04a, 0xd53d292a, 0x10595bcd, 0xd5468389,
0x1050f926, 0xd54fdf8f, 0x10489856, 0xd5593d3a,
0x1040395d, 0xd5629c89, 0x1037dc3b, 0xd56bfd7d,
0x102f80f1, 0xd5756016, 0x1027277e, 0xd57ec452,
0x101ecfe4, 0xd5882a32, 0x10167a22, 0xd59191b5,
0x100e2639, 0xd59afadb, 0x1005d42a, 0xd5a465a3,
0xffd83f4, 0xd5add20d, 0xff53597, 0xd5b74019,
0xfece915, 0xd5c0afc6, 0xfe49e6d, 0xd5ca2115,
0xfdc55a1, 0xd5d39403, 0xfd40eaf, 0xd5dd0892,
0xfcbc999, 0xd5e67ec1, 0xfc3865e, 0xd5eff690,
0xfbb4500, 0xd5f96ffd, 0xfb3057d, 0xd602eb0a,
0xfaac7d8, 0xd60c67b4, 0xfa28c10, 0xd615e5fd,
0xf9a5225, 0xd61f65e4, 0xf921a17, 0xd628e767,
0xf89e3e8, 0xd6326a88, 0xf81af97, 0xd63bef46,
0xf797d24, 0xd645759f, 0xf714c91, 0xd64efd94,
0xf691ddd, 0xd6588725, 0xf60f108, 0xd6621251,
0xf58c613, 0xd66b9f18, 0xf509cfe, 0xd6752d79,
0xf4875ca, 0xd67ebd74, 0xf405077, 0xd6884f09,
0xf382d05, 0xd691e237, 0xf300b74, 0xd69b76fe,
0xf27ebc5, 0xd6a50d5d, 0xf1fcdf8, 0xd6aea555,
0xf17b20d, 0xd6b83ee4, 0xf0f9805, 0xd6c1da0b,
0xf077fe1, 0xd6cb76c9, 0xeff699f, 0xd6d5151d,
0xef75541, 0xd6deb508, 0xeef42c7, 0xd6e85689,
0xee73231, 0xd6f1f99f, 0xedf2380, 0xd6fb9e4b,
0xed716b4, 0xd705448b, 0xecf0bcd, 0xd70eec60,
0xec702cb, 0xd71895c9, 0xebefbb0, 0xd72240c5,
0xeb6f67a, 0xd72bed55, 0xeaef32b, 0xd7359b78,
0xea6f1c2, 0xd73f4b2e, 0xe9ef241, 0xd748fc75,
0xe96f4a7, 0xd752af4f, 0xe8ef8f4, 0xd75c63ba,
0xe86ff2a, 0xd76619b6, 0xe7f0748, 0xd76fd143,
0xe77114e, 0xd7798a60, 0xe6f1d3d, 0xd783450d,
0xe672b16, 0xd78d014a, 0xe5f3ad8, 0xd796bf16,
0xe574c84, 0xd7a07e70, 0xe4f6019, 0xd7aa3f5a,
0xe47759a, 0xd7b401d1, 0xe3f8d05, 0xd7bdc5d6,
0xe37a65b, 0xd7c78b68, 0xe2fc19c, 0xd7d15288,
0xe27dec9, 0xd7db1b34, 0xe1ffde2, 0xd7e4e56c,
0xe181ee8, 0xd7eeb130, 0xe1041d9, 0xd7f87e7f,
0xe0866b8, 0xd8024d59, 0xe008d84, 0xd80c1dbf,
0xdf8b63d, 0xd815efae, 0xdf0e0e4, 0xd81fc328,
0xde90d79, 0xd829982b, 0xde13bfd, 0xd8336eb7,
0xdd96c6f, 0xd83d46cc, 0xdd19ed0, 0xd8472069,
0xdc9d320, 0xd850fb8e, 0xdc20960, 0xd85ad83c,
0xdba4190, 0xd864b670, 0xdb27bb0, 0xd86e962b,
0xdaab7c0, 0xd878776d, 0xda2f5c2, 0xd8825a35,
0xd9b35b4, 0xd88c3e83, 0xd937798, 0xd8962456,
0xd8bbb6d, 0xd8a00bae, 0xd840134, 0xd8a9f48a,
0xd7c48ee, 0xd8b3deeb, 0xd74929a, 0xd8bdcad0,
0xd6cde39, 0xd8c7b838, 0xd652bcb, 0xd8d1a724,
0xd5d7b50, 0xd8db9792, 0xd55ccca, 0xd8e58982,
0xd4e2037, 0xd8ef7cf4, 0xd467599, 0xd8f971e8,
0xd3eccef, 0xd903685d, 0xd37263a, 0xd90d6053,
0xd2f817b, 0xd91759c9, 0xd27deb0, 0xd92154bf,
0xd203ddc, 0xd92b5135, 0xd189efe, 0xd9354f2a,
0xd110216, 0xd93f4e9e, 0xd096725, 0xd9494f90,
0xd01ce2b, 0xd9535201, 0xcfa3729, 0xd95d55ef,
0xcf2a21d, 0xd9675b5a, 0xceb0f0a, 0xd9716243,
0xce37def, 0xd97b6aa8, 0xcdbeecc, 0xd9857489,
0xcd461a2, 0xd98f7fe6, 0xcccd671, 0xd9998cbe,
0xcc54d3a, 0xd9a39b11, 0xcbdc5fc, 0xd9adaadf,
0xcb640b8, 0xd9b7bc27, 0xcaebd6e, 0xd9c1cee9,
0xca73c1e, 0xd9cbe325, 0xc9fbcca, 0xd9d5f8d9,
0xc983f70, 0xd9e01006, 0xc90c412, 0xd9ea28ac,
0xc894aaf, 0xd9f442c9, 0xc81d349, 0xd9fe5e5e,
0xc7a5dde, 0xda087b69, 0xc72ea70, 0xda1299ec,
0xc6b78ff, 0xda1cb9e5, 0xc64098b, 0xda26db54,
0xc5c9c14, 0xda30fe38, 0xc55309b, 0xda3b2292,
0xc4dc720, 0xda454860, 0xc465fa3, 0xda4f6fa3,
0xc3efa25, 0xda599859, 0xc3796a5, 0xda63c284,
0xc303524, 0xda6dee21, 0xc28d5a3, 0xda781b31,
0xc217822, 0xda8249b4, 0xc1a1ca0, 0xda8c79a9,
0xc12c31f, 0xda96ab0f, 0xc0b6b9e, 0xdaa0dde7,
0xc04161e, 0xdaab122f, 0xbfcc29f, 0xdab547e8,
0xbf57121, 0xdabf7f11, 0xbee21a5, 0xdac9b7a9,
0xbe6d42b, 0xdad3f1b1, 0xbdf88b3, 0xdade2d28,
0xbd83f3d, 0xdae86a0d, 0xbd0f7ca, 0xdaf2a860,
0xbc9b25a, 0xdafce821, 0xbc26eee, 0xdb072950,
0xbbb2d85, 0xdb116beb, 0xbb3ee20, 0xdb1baff2,
0xbacb0bf, 0xdb25f566, 0xba57563, 0xdb303c46,
0xb9e3c0b, 0xdb3a8491, 0xb9704b9, 0xdb44ce46,
0xb8fcf6b, 0xdb4f1967, 0xb889c23, 0xdb5965f1,
0xb816ae1, 0xdb63b3e5, 0xb7a3ba5, 0xdb6e0342,
0xb730e70, 0xdb785409, 0xb6be341, 0xdb82a638,
0xb64ba19, 0xdb8cf9cf, 0xb5d92f8, 0xdb974ece,
0xb566ddf, 0xdba1a534, 0xb4f4acd, 0xdbabfd01,
0xb4829c4, 0xdbb65634, 0xb410ac3, 0xdbc0b0ce,
0xb39edca, 0xdbcb0cce, 0xb32d2da, 0xdbd56a32,
0xb2bb9f4, 0xdbdfc8fc, 0xb24a316, 0xdbea292b,
0xb1d8e43, 0xdbf48abd, 0xb167b79, 0xdbfeedb3,
0xb0f6aba, 0xdc09520d, 0xb085c05, 0xdc13b7c9,
0xb014f5b, 0xdc1e1ee9, 0xafa44bc, 0xdc28876a,
0xaf33c28, 0xdc32f14d, 0xaec35a0, 0xdc3d5c91,
0xae53123, 0xdc47c936, 0xade2eb3, 0xdc52373c,
0xad72e4f, 0xdc5ca6a2, 0xad02ff8, 0xdc671768,
0xac933ae, 0xdc71898d, 0xac23971, 0xdc7bfd11,
0xabb4141, 0xdc8671f3, 0xab44b1f, 0xdc90e834,
0xaad570c, 0xdc9b5fd2, 0xaa66506, 0xdca5d8cd,
0xa9f750f, 0xdcb05326, 0xa988727, 0xdcbacedb,
0xa919b4e, 0xdcc54bec, 0xa8ab184, 0xdccfca59,
0xa83c9ca, 0xdcda4a21, 0xa7ce420, 0xdce4cb44,
0xa760086, 0xdcef4dc2, 0xa6f1efc, 0xdcf9d199,
0xa683f83, 0xdd0456ca, 0xa61621b, 0xdd0edd55,
0xa5a86c4, 0xdd196538, 0xa53ad7e, 0xdd23ee74,
0xa4cd64b, 0xdd2e7908, 0xa460129, 0xdd3904f4,
0xa3f2e19, 0xdd439236, 0xa385d1d, 0xdd4e20d0,
0xa318e32, 0xdd58b0c0, 0xa2ac15b, 0xdd634206,
0xa23f698, 0xdd6dd4a2, 0xa1d2de7, 0xdd786892,
0xa16674b, 0xdd82fdd8, 0xa0fa2c3, 0xdd8d9472,
0xa08e04f, 0xdd982c60, 0xa021fef, 0xdda2c5a2,
0x9fb61a5, 0xddad6036, 0x9f4a570, 0xddb7fc1e,
0x9edeb50, 0xddc29958, 0x9e73346, 0xddcd37e4,
0x9e07d51, 0xddd7d7c1, 0x9d9c973, 0xdde278ef,
0x9d317ab, 0xdded1b6e, 0x9cc67fa, 0xddf7bf3e,
0x9c5ba60, 0xde02645d, 0x9bf0edd, 0xde0d0acc,
0x9b86572, 0xde17b28a, 0x9b1be1e, 0xde225b96,
0x9ab18e3, 0xde2d05f1, 0x9a475bf, 0xde37b199,
0x99dd4b4, 0xde425e8f, 0x99735c2, 0xde4d0cd2,
0x99098e9, 0xde57bc62, 0x989fe29, 0xde626d3e,
0x9836582, 0xde6d1f65, 0x97ccef5, 0xde77d2d8,
0x9763a83, 0xde828796, 0x96fa82a, 0xde8d3d9e,
0x96917ec, 0xde97f4f1, 0x96289c9, 0xdea2ad8d,
0x95bfdc1, 0xdead6773, 0x95573d4, 0xdeb822a1,
0x94eec03, 0xdec2df18, 0x948664d, 0xdecd9cd7,
0x941e2b4, 0xded85bdd, 0x93b6137, 0xdee31c2b,
0x934e1d6, 0xdeedddc0, 0x92e6492, 0xdef8a09b,
0x927e96b, 0xdf0364bc, 0x9217062, 0xdf0e2a22,
0x91af976, 0xdf18f0ce, 0x91484a8, 0xdf23b8be,
0x90e11f7, 0xdf2e81f3, 0x907a166, 0xdf394c6b,
0x90132f2, 0xdf441828, 0x8fac69e, 0xdf4ee527,
0x8f45c68, 0xdf59b369, 0x8edf452, 0xdf6482ed,
0x8e78e5b, 0xdf6f53b3, 0x8e12a84, 0xdf7a25ba,
0x8dac8cd, 0xdf84f902, 0x8d46936, 0xdf8fcd8b,
0x8ce0bc0, 0xdf9aa354, 0x8c7b06b, 0xdfa57a5d,
0x8c15736, 0xdfb052a5, 0x8bb0023, 0xdfbb2c2c,
0x8b4ab32, 0xdfc606f1, 0x8ae5862, 0xdfd0e2f5,
0x8a807b4, 0xdfdbc036, 0x8a1b928, 0xdfe69eb4,
0x89b6cbf, 0xdff17e70, 0x8952278, 0xdffc5f67,
0x88eda54, 0xe007419b, 0x8889454, 0xe012250a,
0x8825077, 0xe01d09b4, 0x87c0ebd, 0xe027ef99,
0x875cf28, 0xe032d6b8, 0x86f91b7, 0xe03dbf11,
0x869566a, 0xe048a8a4, 0x8631d42, 0xe053936f,
0x85ce63e, 0xe05e7f74, 0x856b160, 0xe0696cb0,
0x8507ea7, 0xe0745b24, 0x84a4e14, 0xe07f4acf,
0x8441fa6, 0xe08a3bb2, 0x83df35f, 0xe0952dcb,
0x837c93e, 0xe0a0211a, 0x831a143, 0xe0ab159e,
0x82b7b70, 0xe0b60b58, 0x82557c3, 0xe0c10247,
0x81f363d, 0xe0cbfa6a, 0x81916df, 0xe0d6f3c1,
0x812f9a9, 0xe0e1ee4b, 0x80cde9b, 0xe0ecea09,
0x806c5b5, 0xe0f7e6f9, 0x800aef7, 0xe102e51c,
0x7fa9a62, 0xe10de470, 0x7f487f6, 0xe118e4f6,
0x7ee77b3, 0xe123e6ad, 0x7e8699a, 0xe12ee995,
0x7e25daa, 0xe139edac, 0x7dc53e3, 0xe144f2f3,
0x7d64c47, 0xe14ff96a, 0x7d046d6, 0xe15b0110,
0x7ca438f, 0xe16609e3, 0x7c44272, 0xe17113e5,
0x7be4381, 0xe17c1f15, 0x7b846ba, 0xe1872b72,
0x7b24c20, 0xe19238fb, 0x7ac53b1, 0xe19d47b1,
0x7a65d6e, 0xe1a85793, 0x7a06957, 0xe1b368a0,
0x79a776c, 0xe1be7ad8, 0x79487ae, 0xe1c98e3b,
0x78e9a1d, 0xe1d4a2c8, 0x788aeb9, 0xe1dfb87f,
0x782c582, 0xe1eacf5f, 0x77cde79, 0xe1f5e768,
0x776f99d, 0xe2010099, 0x77116f0, 0xe20c1af3,
0x76b3671, 0xe2173674, 0x7655820, 0xe222531c,
0x75f7bfe, 0xe22d70eb, 0x759a20a, 0xe2388fe1,
0x753ca46, 0xe243affc, 0x74df4b1, 0xe24ed13d,
0x748214c, 0xe259f3a3, 0x7425016, 0xe265172e,
0x73c8111, 0xe2703bdc, 0x736b43c, 0xe27b61af,
0x730e997, 0xe28688a4, 0x72b2123, 0xe291b0bd,
0x7255ae0, 0xe29cd9f8, 0x71f96ce, 0xe2a80456,
0x719d4ed, 0xe2b32fd4, 0x714153e, 0xe2be5c74,
0x70e57c0, 0xe2c98a35, 0x7089c75, 0xe2d4b916,
0x702e35c, 0xe2dfe917, 0x6fd2c75, 0xe2eb1a37,
0x6f777c1, 0xe2f64c77, 0x6f1c540, 0xe3017fd5,
0x6ec14f2, 0xe30cb451, 0x6e666d7, 0xe317e9eb,
0x6e0baf0, 0xe32320a2, 0x6db113d, 0xe32e5876,
0x6d569be, 0xe3399167, 0x6cfc472, 0xe344cb73,
0x6ca215c, 0xe350069b, 0x6c4807a, 0xe35b42df,
0x6bee1cd, 0xe366803c, 0x6b94554, 0xe371beb5,
0x6b3ab12, 0xe37cfe47, 0x6ae1304, 0xe3883ef2,
0x6a87d2d, 0xe39380b6, 0x6a2e98b, 0xe39ec393,
0x69d5820, 0xe3aa0788, 0x697c8eb, 0xe3b54c95,
0x6923bec, 0xe3c092b9, 0x68cb124, 0xe3cbd9f4,
0x6872894, 0xe3d72245, 0x681a23a, 0xe3e26bac,
0x67c1e18, 0xe3edb628, 0x6769c2e, 0xe3f901ba,
0x6711c7b, 0xe4044e60, 0x66b9f01, 0xe40f9c1a,
0x66623be, 0xe41aeae8, 0x660aab5, 0xe4263ac9,
0x65b33e4, 0xe4318bbe, 0x655bf4c, 0xe43cddc4,
0x6504ced, 0xe44830dd, 0x64adcc7, 0xe4538507,
0x6456edb, 0xe45eda43, 0x6400329, 0xe46a308f,
0x63a99b1, 0xe47587eb, 0x6353273, 0xe480e057,
0x62fcd6f, 0xe48c39d3, 0x62a6aa6, 0xe497945d,
0x6250a18, 0xe4a2eff6, 0x61fabc4, 0xe4ae4c9d,
0x61a4fac, 0xe4b9aa52, 0x614f5cf, 0xe4c50914,
0x60f9e2e, 0xe4d068e2, 0x60a48c9, 0xe4dbc9bd,
0x604f5a0, 0xe4e72ba4, 0x5ffa4b3, 0xe4f28e96,
0x5fa5603, 0xe4fdf294, 0x5f5098f, 0xe509579b,
0x5efbf58, 0xe514bdad, 0x5ea775e, 0xe52024c9,
0x5e531a1, 0xe52b8cee, 0x5dfee22, 0xe536f61b,
0x5daace1, 0xe5426051, 0x5d56ddd, 0xe54dcb8f,
0x5d03118, 0xe55937d5, 0x5caf690, 0xe564a521,
0x5c5be47, 0xe5701374, 0x5c0883d, 0xe57b82cd,
0x5bb5472, 0xe586f32c, 0x5b622e6, 0xe5926490,
0x5b0f399, 0xe59dd6f9, 0x5abc68c, 0xe5a94a67,
0x5a69bbe, 0xe5b4bed8, 0x5a17330, 0xe5c0344d,
0x59c4ce3, 0xe5cbaac5, 0x59728d5, 0xe5d72240,
0x5920708, 0xe5e29abc, 0x58ce77c, 0xe5ee143b,
0x587ca31, 0xe5f98ebb, 0x582af26, 0xe6050a3b,
0x57d965d, 0xe61086bc, 0x5787fd6, 0xe61c043d,
0x5736b90, 0xe62782be, 0x56e598c, 0xe633023e,
0x56949ca, 0xe63e82bc, 0x5643c4a, 0xe64a0438,
0x55f310d, 0xe65586b3, 0x55a2812, 0xe6610a2a,
0x555215a, 0xe66c8e9f, 0x5501ce5, 0xe6781410,
0x54b1ab4, 0xe6839a7c, 0x5461ac6, 0xe68f21e5,
0x5411d1b, 0xe69aaa48, 0x53c21b4, 0xe6a633a6,
0x5372891, 0xe6b1bdff, 0x53231b3, 0xe6bd4951,
0x52d3d18, 0xe6c8d59c, 0x5284ac3, 0xe6d462e1,
0x5235ab2, 0xe6dff11d, 0x51e6ce6, 0xe6eb8052,
0x519815f, 0xe6f7107e, 0x514981d, 0xe702a1a1,
0x50fb121, 0xe70e33bb, 0x50acc6b, 0xe719c6cb,
0x505e9fb, 0xe7255ad1, 0x50109d0, 0xe730efcc,
0x4fc2bec, 0xe73c85bc, 0x4f7504e, 0xe7481ca1,
0x4f276f7, 0xe753b479, 0x4ed9fe7, 0xe75f4d45,
0x4e8cb1e, 0xe76ae704, 0x4e3f89c, 0xe77681b6,
0x4df2862, 0xe7821d59, 0x4da5a6f, 0xe78db9ef,
0x4d58ec3, 0xe7995776, 0x4d0c560, 0xe7a4f5ed,
0x4cbfe45, 0xe7b09555, 0x4c73972, 0xe7bc35ad,
0x4c276e8, 0xe7c7d6f4, 0x4bdb6a6, 0xe7d3792b,
0x4b8f8ad, 0xe7df1c50, 0x4b43cfd, 0xe7eac063,
0x4af8397, 0xe7f66564, 0x4aacc7a, 0xe8020b52,
0x4a617a6, 0xe80db22d, 0x4a1651c, 0xe81959f4,
0x49cb4dd, 0xe82502a7, 0x49806e7, 0xe830ac45,
0x4935b3c, 0xe83c56cf, 0x48eb1db, 0xe8480243,
0x48a0ac4, 0xe853aea1, 0x48565f9, 0xe85f5be9,
0x480c379, 0xe86b0a1a, 0x47c2344, 0xe876b934,
0x477855a, 0xe8826936, 0x472e9bc, 0xe88e1a20,
0x46e5069, 0xe899cbf1, 0x469b963, 0xe8a57ea9,
0x46524a9, 0xe8b13248, 0x460923b, 0xe8bce6cd,
0x45c0219, 0xe8c89c37, 0x4577444, 0xe8d45286,
0x452e8bc, 0xe8e009ba, 0x44e5f80, 0xe8ebc1d3,
0x449d892, 0xe8f77acf, 0x44553f2, 0xe90334af,
0x440d19e, 0xe90eef71, 0x43c5199, 0xe91aab16,
0x437d3e1, 0xe926679c, 0x4335877, 0xe9322505,
0x42edf5c, 0xe93de34e, 0x42a688f, 0xe949a278,
0x425f410, 0xe9556282, 0x42181e0, 0xe961236c,
0x41d11ff, 0xe96ce535, 0x418a46d, 0xe978a7dd,
0x414392b, 0xe9846b63, 0x40fd037, 0xe9902fc7,
0x40b6994, 0xe99bf509, 0x4070540, 0xe9a7bb28,
0x402a33c, 0xe9b38223, 0x3fe4388, 0xe9bf49fa,
0x3f9e624, 0xe9cb12ad, 0x3f58b10, 0xe9d6dc3b,
0x3f1324e, 0xe9e2a6a3, 0x3ecdbdc, 0xe9ee71e6,
0x3e887bb, 0xe9fa3e03, 0x3e435ea, 0xea060af9,
0x3dfe66c, 0xea11d8c8, 0x3db993e, 0xea1da770,
0x3d74e62, 0xea2976ef, 0x3d305d8, 0xea354746,
0x3cebfa0, 0xea411874, 0x3ca7bba, 0xea4cea79,
0x3c63a26, 0xea58bd54, 0x3c1fae5, 0xea649105,
0x3bdbdf6, 0xea70658a, 0x3b9835a, 0xea7c3ae5,
0x3b54b11, 0xea881114, 0x3b1151b, 0xea93e817,
0x3ace178, 0xea9fbfed, 0x3a8b028, 0xeaab9896,
0x3a4812c, 0xeab77212, 0x3a05484, 0xeac34c60,
0x39c2a2f, 0xeacf277f, 0x398022f, 0xeadb0370,
0x393dc82, 0xeae6e031, 0x38fb92a, 0xeaf2bdc3,
0x38b9827, 0xeafe9c24, 0x3877978, 0xeb0a7b54,
0x3835d1e, 0xeb165b54, 0x37f4319, 0xeb223c22,
0x37b2b6a, 0xeb2e1dbe, 0x377160f, 0xeb3a0027,
0x373030a, 0xeb45e35d, 0x36ef25b, 0xeb51c760,
0x36ae401, 0xeb5dac2f, 0x366d7fd, 0xeb6991ca,
0x362ce50, 0xeb75782f, 0x35ec6f8, 0xeb815f60,
0x35ac1f7, 0xeb8d475b, 0x356bf4d, 0xeb99301f,
0x352bef9, 0xeba519ad, 0x34ec0fc, 0xebb10404,
0x34ac556, 0xebbcef23, 0x346cc07, 0xebc8db0b,
0x342d510, 0xebd4c7ba, 0x33ee070, 0xebe0b52f,
0x33aee27, 0xebeca36c, 0x336fe37, 0xebf8926f,
0x333109e, 0xec048237, 0x32f255e, 0xec1072c4,
0x32b3c75, 0xec1c6417, 0x32755e5, 0xec28562d,
0x32371ae, 0xec344908, 0x31f8fcf, 0xec403ca5,
0x31bb049, 0xec4c3106, 0x317d31c, 0xec582629,
0x313f848, 0xec641c0e, 0x3101fce, 0xec7012b5,
0x30c49ad, 0xec7c0a1d, 0x30875e5, 0xec880245,
0x304a477, 0xec93fb2e, 0x300d563, 0xec9ff4d6,
0x2fd08a9, 0xecabef3d, 0x2f93e4a, 0xecb7ea63,
0x2f57644, 0xecc3e648, 0x2f1b099, 0xeccfe2ea,
0x2eded49, 0xecdbe04a, 0x2ea2c53, 0xece7de66,
0x2e66db8, 0xecf3dd3f, 0x2e2b178, 0xecffdcd4,
0x2def794, 0xed0bdd25, 0x2db400a, 0xed17de31,
0x2d78add, 0xed23dff7, 0x2d3d80a, 0xed2fe277,
0x2d02794, 0xed3be5b1, 0x2cc7979, 0xed47e9a5,
0x2c8cdbb, 0xed53ee51, 0x2c52459, 0xed5ff3b5,
0x2c17d52, 0xed6bf9d1, 0x2bdd8a9, 0xed7800a5,
0x2ba365c, 0xed84082f, 0x2b6966c, 0xed901070,
0x2b2f8d8, 0xed9c1967, 0x2af5da2, 0xeda82313,
0x2abc4c9, 0xedb42d74, 0x2a82e4d, 0xedc0388a,
0x2a49a2e, 0xedcc4454, 0x2a1086d, 0xedd850d2,
0x29d790a, 0xede45e03, 0x299ec05, 0xedf06be6,
0x296615d, 0xedfc7a7c, 0x292d914, 0xee0889c4,
0x28f5329, 0xee1499bd, 0x28bcf9c, 0xee20aa67,
0x2884e6e, 0xee2cbbc1, 0x284cf9f, 0xee38cdcb,
0x281532e, 0xee44e084, 0x27dd91c, 0xee50f3ed,
0x27a616a, 0xee5d0804, 0x276ec16, 0xee691cc9,
0x2737922, 0xee75323c, 0x270088e, 0xee81485c,
0x26c9a58, 0xee8d5f29, 0x2692e83, 0xee9976a1,
0x265c50e, 0xeea58ec6, 0x2625df8, 0xeeb1a796,
0x25ef943, 0xeebdc110, 0x25b96ee, 0xeec9db35,
0x25836f9, 0xeed5f604, 0x254d965, 0xeee2117c,
0x2517e31, 0xeeee2d9d, 0x24e255e, 0xeefa4a67,
0x24aceed, 0xef0667d9, 0x2477adc, 0xef1285f2,
0x244292c, 0xef1ea4b2, 0x240d9de, 0xef2ac419,
0x23d8cf1, 0xef36e426, 0x23a4265, 0xef4304d8,
0x236fa3b, 0xef4f2630, 0x233b473, 0xef5b482d,
0x230710d, 0xef676ace, 0x22d3009, 0xef738e12,
0x229f167, 0xef7fb1fa, 0x226b528, 0xef8bd685,
0x2237b4b, 0xef97fbb2, 0x22043d0, 0xefa42181,
0x21d0eb8, 0xefb047f2, 0x219dc03, 0xefbc6f03,
0x216abb1, 0xefc896b5, 0x2137dc2, 0xefd4bf08,
0x2105236, 0xefe0e7f9, 0x20d290d, 0xefed118a,
0x20a0248, 0xeff93bba, 0x206dde6, 0xf0056687,
0x203bbe8, 0xf01191f3, 0x2009c4e, 0xf01dbdfb,
0x1fd7f17, 0xf029eaa1, 0x1fa6445, 0xf03617e2,
0x1f74bd6, 0xf04245c0, 0x1f435cc, 0xf04e7438,
0x1f12227, 0xf05aa34c, 0x1ee10e5, 0xf066d2fa,
0x1eb0209, 0xf0730342, 0x1e7f591, 0xf07f3424,
0x1e4eb7e, 0xf08b659f, 0x1e1e3d0, 0xf09797b2,
0x1dede87, 0xf0a3ca5d, 0x1dbdba3, 0xf0affda0,
0x1d8db25, 0xf0bc317a, 0x1d5dd0c, 0xf0c865ea,
0x1d2e158, 0xf0d49af1, 0x1cfe80a, 0xf0e0d08d,
0x1ccf122, 0xf0ed06bf, 0x1c9fca0, 0xf0f93d86,
0x1c70a84, 0xf10574e0, 0x1c41ace, 0xf111accf,
0x1c12d7e, 0xf11de551, 0x1be4294, 0xf12a1e66,
0x1bb5a11, 0xf136580d, 0x1b873f5, 0xf1429247,
0x1b5903f, 0xf14ecd11, 0x1b2aef0, 0xf15b086d,
0x1afd007, 0xf1674459, 0x1acf386, 0xf17380d6,
0x1aa196c, 0xf17fbde2, 0x1a741b9, 0xf18bfb7d,
0x1a46c6e, 0xf19839a6, 0x1a1998a, 0xf1a4785e,
0x19ec90d, 0xf1b0b7a4, 0x19bfaf9, 0xf1bcf777,
0x1992f4c, 0xf1c937d6, 0x1966606, 0xf1d578c2,
0x1939f29, 0xf1e1ba3a, 0x190dab4, 0xf1edfc3d,
0x18e18a7, 0xf1fa3ecb, 0x18b5903, 0xf20681e3,
0x1889bc6, 0xf212c585, 0x185e0f3, 0xf21f09b1,
0x1832888, 0xf22b4e66, 0x1807285, 0xf23793a3,
0x17dbeec, 0xf243d968, 0x17b0dbb, 0xf2501fb5,
0x1785ef4, 0xf25c6688, 0x175b296, 0xf268ade3,
0x17308a1, 0xf274f5c3, 0x1706115, 0xf2813e2a,
0x16dbbf3, 0xf28d8715, 0x16b193a, 0xf299d085,
0x16878eb, 0xf2a61a7a, 0x165db05, 0xf2b264f2,
0x1633f8a, 0xf2beafed, 0x160a678, 0xf2cafb6b,
0x15e0fd1, 0xf2d7476c, 0x15b7b94, 0xf2e393ef,
0x158e9c1, 0xf2efe0f2, 0x1565a58, 0xf2fc2e77,
0x153cd5a, 0xf3087c7d, 0x15142c6, 0xf314cb02,
0x14eba9d, 0xf3211a07, 0x14c34df, 0xf32d698a,
0x149b18b, 0xf339b98d, 0x14730a3, 0xf3460a0d,
0x144b225, 0xf3525b0b, 0x1423613, 0xf35eac86,
0x13fbc6c, 0xf36afe7e, 0x13d4530, 0xf37750f2,
0x13ad060, 0xf383a3e2, 0x1385dfb, 0xf38ff74d,
0x135ee02, 0xf39c4b32, 0x1338075, 0xf3a89f92,
0x1311553, 0xf3b4f46c, 0x12eac9d, 0xf3c149bf,
0x12c4653, 0xf3cd9f8b, 0x129e276, 0xf3d9f5cf,
0x1278104, 0xf3e64c8c, 0x12521ff, 0xf3f2a3bf,
0x122c566, 0xf3fefb6a, 0x1206b39, 0xf40b538b,
0x11e1379, 0xf417ac22, 0x11bbe26, 0xf424052f,
0x1196b3f, 0xf4305eb0, 0x1171ac6, 0xf43cb8a7,
0x114ccb9, 0xf4491311, 0x1128119, 0xf4556def,
0x11037e6, 0xf461c940, 0x10df120, 0xf46e2504,
0x10bacc8, 0xf47a8139, 0x1096add, 0xf486dde1,
0x1072b5f, 0xf4933afa, 0x104ee4f, 0xf49f9884,
0x102b3ac, 0xf4abf67e, 0x1007b77, 0xf4b854e7,
0xfe45b0, 0xf4c4b3c0, 0xfc1257, 0xf4d11308,
0xf9e16b, 0xf4dd72be, 0xf7b2ee, 0xf4e9d2e3,
0xf586df, 0xf4f63374, 0xf35d3e, 0xf5029473,
0xf1360b, 0xf50ef5de, 0xef1147, 0xf51b57b5,
0xeceef1, 0xf527b9f7, 0xeacf09, 0xf5341ca5,
0xe8b190, 0xf5407fbd, 0xe69686, 0xf54ce33f,
0xe47deb, 0xf559472b, 0xe267be, 0xf565ab80,
0xe05401, 0xf572103d, 0xde42b2, 0xf57e7563,
0xdc33d2, 0xf58adaf0, 0xda2762, 0xf59740e5,
0xd81d61, 0xf5a3a740, 0xd615cf, 0xf5b00e02,
0xd410ad, 0xf5bc7529, 0xd20dfa, 0xf5c8dcb6,
0xd00db6, 0xf5d544a7, 0xce0fe3, 0xf5e1acfd,
0xcc147f, 0xf5ee15b7, 0xca1b8a, 0xf5fa7ed4,
0xc82506, 0xf606e854, 0xc630f2, 0xf6135237,
0xc43f4d, 0xf61fbc7b, 0xc25019, 0xf62c2721,
0xc06355, 0xf6389228, 0xbe7901, 0xf644fd8f,
0xbc911d, 0xf6516956, 0xbaabaa, 0xf65dd57d,
0xb8c8a7, 0xf66a4203, 0xb6e815, 0xf676aee8,
0xb509f3, 0xf6831c2b, 0xb32e42, 0xf68f89cb,
0xb15502, 0xf69bf7c9, 0xaf7e33, 0xf6a86623,
0xada9d4, 0xf6b4d4d9, 0xabd7e6, 0xf6c143ec,
0xaa086a, 0xf6cdb359, 0xa83b5e, 0xf6da2321,
0xa670c4, 0xf6e69344, 0xa4a89b, 0xf6f303c0,
0xa2e2e3, 0xf6ff7496, 0xa11f9d, 0xf70be5c4,
0x9f5ec8, 0xf718574b, 0x9da065, 0xf724c92a,
0x9be473, 0xf7313b60, 0x9a2af3, 0xf73daded,
0x9873e4, 0xf74a20d0, 0x96bf48, 0xf756940a,
0x950d1d, 0xf7630799, 0x935d64, 0xf76f7b7d,
0x91b01d, 0xf77befb5, 0x900548, 0xf7886442,
0x8e5ce5, 0xf794d922, 0x8cb6f5, 0xf7a14e55,
0x8b1376, 0xf7adc3db, 0x89726a, 0xf7ba39b3,
0x87d3d0, 0xf7c6afdc, 0x8637a9, 0xf7d32657,
0x849df4, 0xf7df9d22, 0x8306b2, 0xf7ec143e,
0x8171e2, 0xf7f88ba9, 0x7fdf85, 0xf8050364,
0x7e4f9b, 0xf8117b6d, 0x7cc223, 0xf81df3c5,
0x7b371e, 0xf82a6c6a, 0x79ae8c, 0xf836e55d,
0x78286e, 0xf8435e9d, 0x76a4c2, 0xf84fd829,
0x752389, 0xf85c5201, 0x73a4c3, 0xf868cc24,
0x722871, 0xf8754692, 0x70ae92, 0xf881c14b,
0x6f3726, 0xf88e3c4d, 0x6dc22e, 0xf89ab799,
0x6c4fa8, 0xf8a7332e, 0x6adf97, 0xf8b3af0c,
0x6971f9, 0xf8c02b31, 0x6806ce, 0xf8cca79e,
0x669e18, 0xf8d92452, 0x6537d4, 0xf8e5a14d,
0x63d405, 0xf8f21e8e, 0x6272aa, 0xf8fe9c15,
0x6113c2, 0xf90b19e0, 0x5fb74e, 0xf91797f0,
0x5e5d4e, 0xf9241645, 0x5d05c3, 0xf93094dd,
0x5bb0ab, 0xf93d13b8, 0x5a5e07, 0xf94992d7,
0x590dd8, 0xf9561237, 0x57c01d, 0xf96291d9,
0x5674d6, 0xf96f11bc, 0x552c03, 0xf97b91e1,
0x53e5a5, 0xf9881245, 0x52a1bb, 0xf99492ea,
0x516045, 0xf9a113cd, 0x502145, 0xf9ad94f0,
0x4ee4b8, 0xf9ba1651, 0x4daaa1, 0xf9c697f0,
0x4c72fe, 0xf9d319cc, 0x4b3dcf, 0xf9df9be6,
0x4a0b16, 0xf9ec1e3b, 0x48dad1, 0xf9f8a0cd,
0x47ad01, 0xfa05239a, 0x4681a6, 0xfa11a6a3,
0x4558c0, 0xfa1e29e5, 0x44324f, 0xfa2aad62,
0x430e53, 0xfa373119, 0x41eccc, 0xfa43b508,
0x40cdba, 0xfa503930, 0x3fb11d, 0xfa5cbd91,
0x3e96f6, 0xfa694229, 0x3d7f44, 0xfa75c6f8,
0x3c6a07, 0xfa824bfd, 0x3b573f, 0xfa8ed139,
0x3a46ed, 0xfa9b56ab, 0x393910, 0xfaa7dc52,
0x382da8, 0xfab4622d, 0x3724b6, 0xfac0e83d,
0x361e3a, 0xfacd6e81, 0x351a33, 0xfad9f4f8,
0x3418a2, 0xfae67ba2, 0x331986, 0xfaf3027e,
0x321ce0, 0xfaff898c, 0x3122b0, 0xfb0c10cb,
0x302af5, 0xfb18983b, 0x2f35b1, 0xfb251fdc,
0x2e42e2, 0xfb31a7ac, 0x2d5289, 0xfb3e2fac,
0x2c64a6, 0xfb4ab7db, 0x2b7939, 0xfb574039,
0x2a9042, 0xfb63c8c4, 0x29a9c1, 0xfb70517d,
0x28c5b6, 0xfb7cda63, 0x27e421, 0xfb896375,
0x270502, 0xfb95ecb4, 0x262859, 0xfba2761e,
0x254e27, 0xfbaeffb3, 0x24766a, 0xfbbb8973,
0x23a124, 0xfbc8135c, 0x22ce54, 0xfbd49d70,
0x21fdfb, 0xfbe127ac, 0x213018, 0xfbedb212,
0x2064ab, 0xfbfa3c9f, 0x1f9bb5, 0xfc06c754,
0x1ed535, 0xfc135231, 0x1e112b, 0xfc1fdd34,
0x1d4f99, 0xfc2c685d, 0x1c907c, 0xfc38f3ac,
0x1bd3d6, 0xfc457f21, 0x1b19a7, 0xfc520aba,
0x1a61ee, 0xfc5e9678, 0x19acac, 0xfc6b2259,
0x18f9e1, 0xfc77ae5e, 0x18498c, 0xfc843a85,
0x179bae, 0xfc90c6cf, 0x16f047, 0xfc9d533b,
0x164757, 0xfca9dfc8, 0x15a0dd, 0xfcb66c77,
0x14fcda, 0xfcc2f945, 0x145b4e, 0xfccf8634,
0x13bc39, 0xfcdc1342, 0x131f9b, 0xfce8a06f,
0x128574, 0xfcf52dbb, 0x11edc3, 0xfd01bb24,
0x11588a, 0xfd0e48ab, 0x10c5c7, 0xfd1ad650,
0x10357c, 0xfd276410, 0xfa7a8, 0xfd33f1ed,
0xf1c4a, 0xfd407fe6, 0xe9364, 0xfd4d0df9,
0xe0cf5, 0xfd599c28, 0xd88fd, 0xfd662a70,
0xd077c, 0xfd72b8d2, 0xc8872, 0xfd7f474d,
0xc0be0, 0xfd8bd5e1, 0xb91c4, 0xfd98648d,
0xb1a20, 0xfda4f351, 0xaa4f3, 0xfdb1822c,
0xa323d, 0xfdbe111e, 0x9c1ff, 0xfdcaa027,
0x95438, 0xfdd72f45, 0x8e8e8, 0xfde3be78,
0x8800f, 0xfdf04dc0, 0x819ae, 0xfdfcdd1d,
0x7b5c4, 0xfe096c8d, 0x75452, 0xfe15fc11,
0x6f556, 0xfe228ba7, 0x698d3, 0xfe2f1b50,
0x63ec6, 0xfe3bab0b, 0x5e731, 0xfe483ad8,
0x59214, 0xfe54cab5, 0x53f6e, 0xfe615aa3,
0x4ef3f, 0xfe6deaa1, 0x4a188, 0xfe7a7aae,
0x45648, 0xfe870aca, 0x40d80, 0xfe939af5,
0x3c72f, 0xfea02b2e, 0x38356, 0xfeacbb74,
0x341f4, 0xfeb94bc8, 0x3030a, 0xfec5dc28,
0x2c697, 0xfed26c94, 0x28c9c, 0xfedefd0c,
0x25519, 0xfeeb8d8f, 0x2200d, 0xfef81e1d,
0x1ed78, 0xff04aeb5, 0x1bd5c, 0xff113f56,
0x18fb6, 0xff1dd001, 0x16489, 0xff2a60b4,
0x13bd3, 0xff36f170, 0x11594, 0xff438234,
0xf1ce, 0xff5012fe, 0xd07e, 0xff5ca3d0,
0xb1a7, 0xff6934a8, 0x9547, 0xff75c585,
0x7b5f, 0xff825668, 0x63ee, 0xff8ee750,
0x4ef5, 0xff9b783c, 0x3c74, 0xffa8092c,
0x2c6a, 0xffb49a1f, 0x1ed8, 0xffc12b16,
0x13bd, 0xffcdbc0f, 0xb1a, 0xffda4d09,
0x4ef, 0xffe6de05, 0x13c, 0xfff36f02,
0x0, 0x0, 0x13c, 0xc90fe,
0x4ef, 0x1921fb, 0xb1a, 0x25b2f7,
0x13bd, 0x3243f1, 0x1ed8, 0x3ed4ea,
0x2c6a, 0x4b65e1, 0x3c74, 0x57f6d4,
0x4ef5, 0x6487c4, 0x63ee, 0x7118b0,
0x7b5f, 0x7da998, 0x9547, 0x8a3a7b,
0xb1a7, 0x96cb58, 0xd07e, 0xa35c30,
0xf1ce, 0xafed02, 0x11594, 0xbc7dcc,
0x13bd3, 0xc90e90, 0x16489, 0xd59f4c,
0x18fb6, 0xe22fff, 0x1bd5c, 0xeec0aa,
0x1ed78, 0xfb514b, 0x2200d, 0x107e1e3,
0x25519, 0x1147271, 0x28c9c, 0x12102f4,
0x2c697, 0x12d936c, 0x3030a, 0x13a23d8,
0x341f4, 0x146b438, 0x38356, 0x153448c,
0x3c72f, 0x15fd4d2, 0x40d80, 0x16c650b,
0x45648, 0x178f536, 0x4a188, 0x1858552,
0x4ef3f, 0x192155f, 0x53f6e, 0x19ea55d,
0x59214, 0x1ab354b, 0x5e731, 0x1b7c528,
0x63ec6, 0x1c454f5, 0x698d3, 0x1d0e4b0,
0x6f556, 0x1dd7459, 0x75452, 0x1ea03ef,
0x7b5c4, 0x1f69373, 0x819ae, 0x20322e3,
0x8800f, 0x20fb240, 0x8e8e8, 0x21c4188,
0x95438, 0x228d0bb, 0x9c1ff, 0x2355fd9,
0xa323d, 0x241eee2, 0xaa4f3, 0x24e7dd4,
0xb1a20, 0x25b0caf, 0xb91c4, 0x2679b73,
0xc0be0, 0x2742a1f, 0xc8872, 0x280b8b3,
0xd077c, 0x28d472e, 0xd88fd, 0x299d590,
0xe0cf5, 0x2a663d8, 0xe9364, 0x2b2f207,
0xf1c4a, 0x2bf801a, 0xfa7a8, 0x2cc0e13,
0x10357c, 0x2d89bf0, 0x10c5c7, 0x2e529b0,
0x11588a, 0x2f1b755, 0x11edc3, 0x2fe44dc,
0x128574, 0x30ad245, 0x131f9b, 0x3175f91,
0x13bc39, 0x323ecbe, 0x145b4e, 0x33079cc,
0x14fcda, 0x33d06bb, 0x15a0dd, 0x3499389,
0x164757, 0x3562038, 0x16f047, 0x362acc5,
0x179bae, 0x36f3931, 0x18498c, 0x37bc57b,
0x18f9e1, 0x38851a2, 0x19acac, 0x394dda7,
0x1a61ee, 0x3a16988, 0x1b19a7, 0x3adf546,
0x1bd3d6, 0x3ba80df, 0x1c907c, 0x3c70c54,
0x1d4f99, 0x3d397a3, 0x1e112b, 0x3e022cc,
0x1ed535, 0x3ecadcf, 0x1f9bb5, 0x3f938ac,
0x2064ab, 0x405c361, 0x213018, 0x4124dee,
0x21fdfb, 0x41ed854, 0x22ce54, 0x42b6290,
0x23a124, 0x437eca4, 0x24766a, 0x444768d,
0x254e27, 0x451004d, 0x262859, 0x45d89e2,
0x270502, 0x46a134c, 0x27e421, 0x4769c8b,
0x28c5b6, 0x483259d, 0x29a9c1, 0x48fae83,
0x2a9042, 0x49c373c, 0x2b7939, 0x4a8bfc7,
0x2c64a6, 0x4b54825, 0x2d5289, 0x4c1d054,
0x2e42e2, 0x4ce5854, 0x2f35b1, 0x4dae024,
0x302af5, 0x4e767c5, 0x3122b0, 0x4f3ef35,
0x321ce0, 0x5007674, 0x331986, 0x50cfd82,
0x3418a2, 0x519845e, 0x351a33, 0x5260b08,
0x361e3a, 0x532917f, 0x3724b6, 0x53f17c3,
0x382da8, 0x54b9dd3, 0x393910, 0x55823ae,
0x3a46ed, 0x564a955, 0x3b573f, 0x5712ec7,
0x3c6a07, 0x57db403, 0x3d7f44, 0x58a3908,
0x3e96f6, 0x596bdd7, 0x3fb11d, 0x5a3426f,
0x40cdba, 0x5afc6d0, 0x41eccc, 0x5bc4af8,
0x430e53, 0x5c8cee7, 0x44324f, 0x5d5529e,
0x4558c0, 0x5e1d61b, 0x4681a6, 0x5ee595d,
0x47ad01, 0x5fadc66, 0x48dad1, 0x6075f33,
0x4a0b16, 0x613e1c5, 0x4b3dcf, 0x620641a,
0x4c72fe, 0x62ce634, 0x4daaa1, 0x6396810,
0x4ee4b8, 0x645e9af, 0x502145, 0x6526b10,
0x516045, 0x65eec33, 0x52a1bb, 0x66b6d16,
0x53e5a5, 0x677edbb, 0x552c03, 0x6846e1f,
0x5674d6, 0x690ee44, 0x57c01d, 0x69d6e27,
0x590dd8, 0x6a9edc9, 0x5a5e07, 0x6b66d29,
0x5bb0ab, 0x6c2ec48, 0x5d05c3, 0x6cf6b23,
0x5e5d4e, 0x6dbe9bb, 0x5fb74e, 0x6e86810,
0x6113c2, 0x6f4e620, 0x6272aa, 0x70163eb,
0x63d405, 0x70de172, 0x6537d4, 0x71a5eb3,
0x669e18, 0x726dbae, 0x6806ce, 0x7335862,
0x6971f9, 0x73fd4cf, 0x6adf97, 0x74c50f4,
0x6c4fa8, 0x758ccd2, 0x6dc22e, 0x7654867,
0x6f3726, 0x771c3b3, 0x70ae92, 0x77e3eb5,
0x722871, 0x78ab96e, 0x73a4c3, 0x79733dc,
0x752389, 0x7a3adff, 0x76a4c2, 0x7b027d7,
0x78286e, 0x7bca163, 0x79ae8c, 0x7c91aa3,
0x7b371e, 0x7d59396, 0x7cc223, 0x7e20c3b,
0x7e4f9b, 0x7ee8493, 0x7fdf85, 0x7fafc9c,
0x8171e2, 0x8077457, 0x8306b2, 0x813ebc2,
0x849df4, 0x82062de, 0x8637a9, 0x82cd9a9,
0x87d3d0, 0x8395024, 0x89726a, 0x845c64d,
0x8b1376, 0x8523c25, 0x8cb6f5, 0x85eb1ab,
0x8e5ce5, 0x86b26de, 0x900548, 0x8779bbe,
0x91b01d, 0x884104b, 0x935d64, 0x8908483,
0x950d1d, 0x89cf867, 0x96bf48, 0x8a96bf6,
0x9873e4, 0x8b5df30, 0x9a2af3, 0x8c25213,
0x9be473, 0x8cec4a0, 0x9da065, 0x8db36d6,
0x9f5ec8, 0x8e7a8b5, 0xa11f9d, 0x8f41a3c,
0xa2e2e3, 0x9008b6a, 0xa4a89b, 0x90cfc40,
0xa670c4, 0x9196cbc, 0xa83b5e, 0x925dcdf,
0xaa086a, 0x9324ca7, 0xabd7e6, 0x93ebc14,
0xada9d4, 0x94b2b27, 0xaf7e33, 0x95799dd,
0xb15502, 0x9640837, 0xb32e42, 0x9707635,
0xb509f3, 0x97ce3d5, 0xb6e815, 0x9895118,
0xb8c8a7, 0x995bdfd, 0xbaabaa, 0x9a22a83,
0xbc911d, 0x9ae96aa, 0xbe7901, 0x9bb0271,
0xc06355, 0x9c76dd8, 0xc25019, 0x9d3d8df,
0xc43f4d, 0x9e04385, 0xc630f2, 0x9ecadc9,
0xc82506, 0x9f917ac, 0xca1b8a, 0xa05812c,
0xcc147f, 0xa11ea49, 0xce0fe3, 0xa1e5303,
0xd00db6, 0xa2abb59, 0xd20dfa, 0xa37234a,
0xd410ad, 0xa438ad7, 0xd615cf, 0xa4ff1fe,
0xd81d61, 0xa5c58c0, 0xda2762, 0xa68bf1b,
0xdc33d2, 0xa752510, 0xde42b2, 0xa818a9d,
0xe05401, 0xa8defc3, 0xe267be, 0xa9a5480,
0xe47deb, 0xaa6b8d5, 0xe69686, 0xab31cc1,
0xe8b190, 0xabf8043, 0xeacf09, 0xacbe35b,
0xeceef1, 0xad84609, 0xef1147, 0xae4a84b,
0xf1360b, 0xaf10a22, 0xf35d3e, 0xafd6b8d,
0xf586df, 0xb09cc8c, 0xf7b2ee, 0xb162d1d,
0xf9e16b, 0xb228d42, 0xfc1257, 0xb2eecf8,
0xfe45b0, 0xb3b4c40, 0x1007b77, 0xb47ab19,
0x102b3ac, 0xb540982, 0x104ee4f, 0xb60677c,
0x1072b5f, 0xb6cc506, 0x1096add, 0xb79221f,
0x10bacc8, 0xb857ec7, 0x10df120, 0xb91dafc,
0x11037e6, 0xb9e36c0, 0x1128119, 0xbaa9211,
0x114ccb9, 0xbb6ecef, 0x1171ac6, 0xbc34759,
0x1196b3f, 0xbcfa150, 0x11bbe26, 0xbdbfad1,
0x11e1379, 0xbe853de, 0x1206b39, 0xbf4ac75,
0x122c566, 0xc010496, 0x12521ff, 0xc0d5c41,
0x1278104, 0xc19b374, 0x129e276, 0xc260a31,
0x12c4653, 0xc326075, 0x12eac9d, 0xc3eb641,
0x1311553, 0xc4b0b94, 0x1338075, 0xc57606e,
0x135ee02, 0xc63b4ce, 0x1385dfb, 0xc7008b3,
0x13ad060, 0xc7c5c1e, 0x13d4530, 0xc88af0e,
0x13fbc6c, 0xc950182, 0x1423613, 0xca1537a,
0x144b225, 0xcada4f5, 0x14730a3, 0xcb9f5f3,
0x149b18b, 0xcc64673, 0x14c34df, 0xcd29676,
0x14eba9d, 0xcdee5f9, 0x15142c6, 0xceb34fe,
0x153cd5a, 0xcf78383, 0x1565a58, 0xd03d189,
0x158e9c1, 0xd101f0e, 0x15b7b94, 0xd1c6c11,
0x15e0fd1, 0xd28b894, 0x160a678, 0xd350495,
0x1633f8a, 0xd415013, 0x165db05, 0xd4d9b0e,
0x16878eb, 0xd59e586, 0x16b193a, 0xd662f7b,
0x16dbbf3, 0xd7278eb, 0x1706115, 0xd7ec1d6,
0x17308a1, 0xd8b0a3d, 0x175b296, 0xd97521d,
0x1785ef4, 0xda39978, 0x17b0dbb, 0xdafe04b,
0x17dbeec, 0xdbc2698, 0x1807285, 0xdc86c5d,
0x1832888, 0xdd4b19a, 0x185e0f3, 0xde0f64f,
0x1889bc6, 0xded3a7b, 0x18b5903, 0xdf97e1d,
0x18e18a7, 0xe05c135, 0x190dab4, 0xe1203c3,
0x1939f29, 0xe1e45c6, 0x1966606, 0xe2a873e,
0x1992f4c, 0xe36c82a, 0x19bfaf9, 0xe430889,
0x19ec90d, 0xe4f485c, 0x1a1998a, 0xe5b87a2,
0x1a46c6e, 0xe67c65a, 0x1a741b9, 0xe740483,
0x1aa196c, 0xe80421e, 0x1acf386, 0xe8c7f2a,
0x1afd007, 0xe98bba7, 0x1b2aef0, 0xea4f793,
0x1b5903f, 0xeb132ef, 0x1b873f5, 0xebd6db9,
0x1bb5a11, 0xec9a7f3, 0x1be4294, 0xed5e19a,
0x1c12d7e, 0xee21aaf, 0x1c41ace, 0xeee5331,
0x1c70a84, 0xefa8b20, 0x1c9fca0, 0xf06c27a,
0x1ccf122, 0xf12f941, 0x1cfe80a, 0xf1f2f73,
0x1d2e158, 0xf2b650f, 0x1d5dd0c, 0xf379a16,
0x1d8db25, 0xf43ce86, 0x1dbdba3, 0xf500260,
0x1dede87, 0xf5c35a3, 0x1e1e3d0, 0xf68684e,
0x1e4eb7e, 0xf749a61, 0x1e7f591, 0xf80cbdc,
0x1eb0209, 0xf8cfcbe, 0x1ee10e5, 0xf992d06,
0x1f12227, 0xfa55cb4, 0x1f435cc, 0xfb18bc8,
0x1f74bd6, 0xfbdba40, 0x1fa6445, 0xfc9e81e,
0x1fd7f17, 0xfd6155f, 0x2009c4e, 0xfe24205,
0x203bbe8, 0xfee6e0d, 0x206dde6, 0xffa9979,
0x20a0248, 0x1006c446, 0x20d290d, 0x1012ee76,
0x2105236, 0x101f1807, 0x2137dc2, 0x102b40f8,
0x216abb1, 0x1037694b, 0x219dc03, 0x104390fd,
0x21d0eb8, 0x104fb80e, 0x22043d0, 0x105bde7f,
0x2237b4b, 0x1068044e, 0x226b528, 0x1074297b,
0x229f167, 0x10804e06, 0x22d3009, 0x108c71ee,
0x230710d, 0x10989532, 0x233b473, 0x10a4b7d3,
0x236fa3b, 0x10b0d9d0, 0x23a4265, 0x10bcfb28,
0x23d8cf1, 0x10c91bda, 0x240d9de, 0x10d53be7,
0x244292c, 0x10e15b4e, 0x2477adc, 0x10ed7a0e,
0x24aceed, 0x10f99827, 0x24e255e, 0x1105b599,
0x2517e31, 0x1111d263, 0x254d965, 0x111dee84,
0x25836f9, 0x112a09fc, 0x25b96ee, 0x113624cb,
0x25ef943, 0x11423ef0, 0x2625df8, 0x114e586a,
0x265c50e, 0x115a713a, 0x2692e83, 0x1166895f,
0x26c9a58, 0x1172a0d7, 0x270088e, 0x117eb7a4,
0x2737922, 0x118acdc4, 0x276ec16, 0x1196e337,
0x27a616a, 0x11a2f7fc, 0x27dd91c, 0x11af0c13,
0x281532e, 0x11bb1f7c, 0x284cf9f, 0x11c73235,
0x2884e6e, 0x11d3443f, 0x28bcf9c, 0x11df5599,
0x28f5329, 0x11eb6643, 0x292d914, 0x11f7763c,
0x296615d, 0x12038584, 0x299ec05, 0x120f941a,
0x29d790a, 0x121ba1fd, 0x2a1086d, 0x1227af2e,
0x2a49a2e, 0x1233bbac, 0x2a82e4d, 0x123fc776,
0x2abc4c9, 0x124bd28c, 0x2af5da2, 0x1257dced,
0x2b2f8d8, 0x1263e699, 0x2b6966c, 0x126fef90,
0x2ba365c, 0x127bf7d1, 0x2bdd8a9, 0x1287ff5b,
0x2c17d52, 0x1294062f, 0x2c52459, 0x12a00c4b,
0x2c8cdbb, 0x12ac11af, 0x2cc7979, 0x12b8165b,
0x2d02794, 0x12c41a4f, 0x2d3d80a, 0x12d01d89,
0x2d78add, 0x12dc2009, 0x2db400a, 0x12e821cf,
0x2def794, 0x12f422db, 0x2e2b178, 0x1300232c,
0x2e66db8, 0x130c22c1, 0x2ea2c53, 0x1318219a,
0x2eded49, 0x13241fb6, 0x2f1b099, 0x13301d16,
0x2f57644, 0x133c19b8, 0x2f93e4a, 0x1348159d,
0x2fd08a9, 0x135410c3, 0x300d563, 0x13600b2a,
0x304a477, 0x136c04d2, 0x30875e5, 0x1377fdbb,
0x30c49ad, 0x1383f5e3, 0x3101fce, 0x138fed4b,
0x313f848, 0x139be3f2, 0x317d31c, 0x13a7d9d7,
0x31bb049, 0x13b3cefa, 0x31f8fcf, 0x13bfc35b,
0x32371ae, 0x13cbb6f8, 0x32755e5, 0x13d7a9d3,
0x32b3c75, 0x13e39be9, 0x32f255e, 0x13ef8d3c,
0x333109e, 0x13fb7dc9, 0x336fe37, 0x14076d91,
0x33aee27, 0x14135c94, 0x33ee070, 0x141f4ad1,
0x342d510, 0x142b3846, 0x346cc07, 0x143724f5,
0x34ac556, 0x144310dd, 0x34ec0fc, 0x144efbfc,
0x352bef9, 0x145ae653, 0x356bf4d, 0x1466cfe1,
0x35ac1f7, 0x1472b8a5, 0x35ec6f8, 0x147ea0a0,
0x362ce50, 0x148a87d1, 0x366d7fd, 0x14966e36,
0x36ae401, 0x14a253d1, 0x36ef25b, 0x14ae38a0,
0x373030a, 0x14ba1ca3, 0x377160f, 0x14c5ffd9,
0x37b2b6a, 0x14d1e242, 0x37f4319, 0x14ddc3de,
0x3835d1e, 0x14e9a4ac, 0x3877978, 0x14f584ac,
0x38b9827, 0x150163dc, 0x38fb92a, 0x150d423d,
0x393dc82, 0x15191fcf, 0x398022f, 0x1524fc90,
0x39c2a2f, 0x1530d881, 0x3a05484, 0x153cb3a0,
0x3a4812c, 0x15488dee, 0x3a8b028, 0x1554676a,
0x3ace178, 0x15604013, 0x3b1151b, 0x156c17e9,
0x3b54b11, 0x1577eeec, 0x3b9835a, 0x1583c51b,
0x3bdbdf6, 0x158f9a76, 0x3c1fae5, 0x159b6efb,
0x3c63a26, 0x15a742ac, 0x3ca7bba, 0x15b31587,
0x3cebfa0, 0x15bee78c, 0x3d305d8, 0x15cab8ba,
0x3d74e62, 0x15d68911, 0x3db993e, 0x15e25890,
0x3dfe66c, 0x15ee2738, 0x3e435ea, 0x15f9f507,
0x3e887bb, 0x1605c1fd, 0x3ecdbdc, 0x16118e1a,
0x3f1324e, 0x161d595d, 0x3f58b10, 0x162923c5,
0x3f9e624, 0x1634ed53, 0x3fe4388, 0x1640b606,
0x402a33c, 0x164c7ddd, 0x4070540, 0x165844d8,
0x40b6994, 0x16640af7, 0x40fd037, 0x166fd039,
0x414392b, 0x167b949d, 0x418a46d, 0x16875823,
0x41d11ff, 0x16931acb, 0x42181e0, 0x169edc94,
0x425f410, 0x16aa9d7e, 0x42a688f, 0x16b65d88,
0x42edf5c, 0x16c21cb2, 0x4335877, 0x16cddafb,
0x437d3e1, 0x16d99864, 0x43c5199, 0x16e554ea,
0x440d19e, 0x16f1108f, 0x44553f2, 0x16fccb51,
0x449d892, 0x17088531, 0x44e5f80, 0x17143e2d,
0x452e8bc, 0x171ff646, 0x4577444, 0x172bad7a,
0x45c0219, 0x173763c9, 0x460923b, 0x17431933,
0x46524a9, 0x174ecdb8, 0x469b963, 0x175a8157,
0x46e5069, 0x1766340f, 0x472e9bc, 0x1771e5e0,
0x477855a, 0x177d96ca, 0x47c2344, 0x178946cc,
0x480c379, 0x1794f5e6, 0x48565f9, 0x17a0a417,
0x48a0ac4, 0x17ac515f, 0x48eb1db, 0x17b7fdbd,
0x4935b3c, 0x17c3a931, 0x49806e7, 0x17cf53bb,
0x49cb4dd, 0x17dafd59, 0x4a1651c, 0x17e6a60c,
0x4a617a6, 0x17f24dd3, 0x4aacc7a, 0x17fdf4ae,
0x4af8397, 0x18099a9c, 0x4b43cfd, 0x18153f9d,
0x4b8f8ad, 0x1820e3b0, 0x4bdb6a6, 0x182c86d5,
0x4c276e8, 0x1838290c, 0x4c73972, 0x1843ca53,
0x4cbfe45, 0x184f6aab, 0x4d0c560, 0x185b0a13,
0x4d58ec3, 0x1866a88a, 0x4da5a6f, 0x18724611,
0x4df2862, 0x187de2a7, 0x4e3f89c, 0x18897e4a,
0x4e8cb1e, 0x189518fc, 0x4ed9fe7, 0x18a0b2bb,
0x4f276f7, 0x18ac4b87, 0x4f7504e, 0x18b7e35f,
0x4fc2bec, 0x18c37a44, 0x50109d0, 0x18cf1034,
0x505e9fb, 0x18daa52f, 0x50acc6b, 0x18e63935,
0x50fb121, 0x18f1cc45, 0x514981d, 0x18fd5e5f,
0x519815f, 0x1908ef82, 0x51e6ce6, 0x19147fae,
0x5235ab2, 0x19200ee3, 0x5284ac3, 0x192b9d1f,
0x52d3d18, 0x19372a64, 0x53231b3, 0x1942b6af,
0x5372891, 0x194e4201, 0x53c21b4, 0x1959cc5a,
0x5411d1b, 0x196555b8, 0x5461ac6, 0x1970de1b,
0x54b1ab4, 0x197c6584, 0x5501ce5, 0x1987ebf0,
0x555215a, 0x19937161, 0x55a2812, 0x199ef5d6,
0x55f310d, 0x19aa794d, 0x5643c4a, 0x19b5fbc8,
0x56949ca, 0x19c17d44, 0x56e598c, 0x19ccfdc2,
0x5736b90, 0x19d87d42, 0x5787fd6, 0x19e3fbc3,
0x57d965d, 0x19ef7944, 0x582af26, 0x19faf5c5,
0x587ca31, 0x1a067145, 0x58ce77c, 0x1a11ebc5,
0x5920708, 0x1a1d6544, 0x59728d5, 0x1a28ddc0,
0x59c4ce3, 0x1a34553b, 0x5a17330, 0x1a3fcbb3,
0x5a69bbe, 0x1a4b4128, 0x5abc68c, 0x1a56b599,
0x5b0f399, 0x1a622907, 0x5b622e6, 0x1a6d9b70,
0x5bb5472, 0x1a790cd4, 0x5c0883d, 0x1a847d33,
0x5c5be47, 0x1a8fec8c, 0x5caf690, 0x1a9b5adf,
0x5d03118, 0x1aa6c82b, 0x5d56ddd, 0x1ab23471,
0x5daace1, 0x1abd9faf, 0x5dfee22, 0x1ac909e5,
0x5e531a1, 0x1ad47312, 0x5ea775e, 0x1adfdb37,
0x5efbf58, 0x1aeb4253, 0x5f5098f, 0x1af6a865,
0x5fa5603, 0x1b020d6c, 0x5ffa4b3, 0x1b0d716a,
0x604f5a0, 0x1b18d45c, 0x60a48c9, 0x1b243643,
0x60f9e2e, 0x1b2f971e, 0x614f5cf, 0x1b3af6ec,
0x61a4fac, 0x1b4655ae, 0x61fabc4, 0x1b51b363,
0x6250a18, 0x1b5d100a, 0x62a6aa6, 0x1b686ba3,
0x62fcd6f, 0x1b73c62d, 0x6353273, 0x1b7f1fa9,
0x63a99b1, 0x1b8a7815, 0x6400329, 0x1b95cf71,
0x6456edb, 0x1ba125bd, 0x64adcc7, 0x1bac7af9,
0x6504ced, 0x1bb7cf23, 0x655bf4c, 0x1bc3223c,
0x65b33e4, 0x1bce7442, 0x660aab5, 0x1bd9c537,
0x66623be, 0x1be51518, 0x66b9f01, 0x1bf063e6,
0x6711c7b, 0x1bfbb1a0, 0x6769c2e, 0x1c06fe46,
0x67c1e18, 0x1c1249d8, 0x681a23a, 0x1c1d9454,
0x6872894, 0x1c28ddbb, 0x68cb124, 0x1c34260c,
0x6923bec, 0x1c3f6d47, 0x697c8eb, 0x1c4ab36b,
0x69d5820, 0x1c55f878, 0x6a2e98b, 0x1c613c6d,
0x6a87d2d, 0x1c6c7f4a, 0x6ae1304, 0x1c77c10e,
0x6b3ab12, 0x1c8301b9, 0x6b94554, 0x1c8e414b,
0x6bee1cd, 0x1c997fc4, 0x6c4807a, 0x1ca4bd21,
0x6ca215c, 0x1caff965, 0x6cfc472, 0x1cbb348d,
0x6d569be, 0x1cc66e99, 0x6db113d, 0x1cd1a78a,
0x6e0baf0, 0x1cdcdf5e, 0x6e666d7, 0x1ce81615,
0x6ec14f2, 0x1cf34baf, 0x6f1c540, 0x1cfe802b,
0x6f777c1, 0x1d09b389, 0x6fd2c75, 0x1d14e5c9,
0x702e35c, 0x1d2016e9, 0x7089c75, 0x1d2b46ea,
0x70e57c0, 0x1d3675cb, 0x714153e, 0x1d41a38c,
0x719d4ed, 0x1d4cd02c, 0x71f96ce, 0x1d57fbaa,
0x7255ae0, 0x1d632608, 0x72b2123, 0x1d6e4f43,
0x730e997, 0x1d79775c, 0x736b43c, 0x1d849e51,
0x73c8111, 0x1d8fc424, 0x7425016, 0x1d9ae8d2,
0x748214c, 0x1da60c5d, 0x74df4b1, 0x1db12ec3,
0x753ca46, 0x1dbc5004, 0x759a20a, 0x1dc7701f,
0x75f7bfe, 0x1dd28f15, 0x7655820, 0x1dddace4,
0x76b3671, 0x1de8c98c, 0x77116f0, 0x1df3e50d,
0x776f99d, 0x1dfeff67, 0x77cde79, 0x1e0a1898,
0x782c582, 0x1e1530a1, 0x788aeb9, 0x1e204781,
0x78e9a1d, 0x1e2b5d38, 0x79487ae, 0x1e3671c5,
0x79a776c, 0x1e418528, 0x7a06957, 0x1e4c9760,
0x7a65d6e, 0x1e57a86d, 0x7ac53b1, 0x1e62b84f,
0x7b24c20, 0x1e6dc705, 0x7b846ba, 0x1e78d48e,
0x7be4381, 0x1e83e0eb, 0x7c44272, 0x1e8eec1b,
0x7ca438f, 0x1e99f61d, 0x7d046d6, 0x1ea4fef0,
0x7d64c47, 0x1eb00696, 0x7dc53e3, 0x1ebb0d0d,
0x7e25daa, 0x1ec61254, 0x7e8699a, 0x1ed1166b,
0x7ee77b3, 0x1edc1953, 0x7f487f6, 0x1ee71b0a,
0x7fa9a62, 0x1ef21b90, 0x800aef7, 0x1efd1ae4,
0x806c5b5, 0x1f081907, 0x80cde9b, 0x1f1315f7,
0x812f9a9, 0x1f1e11b5, 0x81916df, 0x1f290c3f,
0x81f363d, 0x1f340596, 0x82557c3, 0x1f3efdb9,
0x82b7b70, 0x1f49f4a8, 0x831a143, 0x1f54ea62,
0x837c93e, 0x1f5fdee6, 0x83df35f, 0x1f6ad235,
0x8441fa6, 0x1f75c44e, 0x84a4e14, 0x1f80b531,
0x8507ea7, 0x1f8ba4dc, 0x856b160, 0x1f969350,
0x85ce63e, 0x1fa1808c, 0x8631d42, 0x1fac6c91,
0x869566a, 0x1fb7575c, 0x86f91b7, 0x1fc240ef,
0x875cf28, 0x1fcd2948, 0x87c0ebd, 0x1fd81067,
0x8825077, 0x1fe2f64c, 0x8889454, 0x1feddaf6,
0x88eda54, 0x1ff8be65, 0x8952278, 0x2003a099,
0x89b6cbf, 0x200e8190, 0x8a1b928, 0x2019614c,
0x8a807b4, 0x20243fca, 0x8ae5862, 0x202f1d0b,
0x8b4ab32, 0x2039f90f, 0x8bb0023, 0x2044d3d4,
0x8c15736, 0x204fad5b, 0x8c7b06b, 0x205a85a3,
0x8ce0bc0, 0x20655cac, 0x8d46936, 0x20703275,
0x8dac8cd, 0x207b06fe, 0x8e12a84, 0x2085da46,
0x8e78e5b, 0x2090ac4d, 0x8edf452, 0x209b7d13,
0x8f45c68, 0x20a64c97, 0x8fac69e, 0x20b11ad9,
0x90132f2, 0x20bbe7d8, 0x907a166, 0x20c6b395,
0x90e11f7, 0x20d17e0d, 0x91484a8, 0x20dc4742,
0x91af976, 0x20e70f32, 0x9217062, 0x20f1d5de,
0x927e96b, 0x20fc9b44, 0x92e6492, 0x21075f65,
0x934e1d6, 0x21122240, 0x93b6137, 0x211ce3d5,
0x941e2b4, 0x2127a423, 0x948664d, 0x21326329,
0x94eec03, 0x213d20e8, 0x95573d4, 0x2147dd5f,
0x95bfdc1, 0x2152988d, 0x96289c9, 0x215d5273,
0x96917ec, 0x21680b0f, 0x96fa82a, 0x2172c262,
0x9763a83, 0x217d786a, 0x97ccef5, 0x21882d28,
0x9836582, 0x2192e09b, 0x989fe29, 0x219d92c2,
0x99098e9, 0x21a8439e, 0x99735c2, 0x21b2f32e,
0x99dd4b4, 0x21bda171, 0x9a475bf, 0x21c84e67,
0x9ab18e3, 0x21d2fa0f, 0x9b1be1e, 0x21dda46a,
0x9b86572, 0x21e84d76, 0x9bf0edd, 0x21f2f534,
0x9c5ba60, 0x21fd9ba3, 0x9cc67fa, 0x220840c2,
0x9d317ab, 0x2212e492, 0x9d9c973, 0x221d8711,
0x9e07d51, 0x2228283f, 0x9e73346, 0x2232c81c,
0x9edeb50, 0x223d66a8, 0x9f4a570, 0x224803e2,
0x9fb61a5, 0x22529fca, 0xa021fef, 0x225d3a5e,
0xa08e04f, 0x2267d3a0, 0xa0fa2c3, 0x22726b8e,
0xa16674b, 0x227d0228, 0xa1d2de7, 0x2287976e,
0xa23f698, 0x22922b5e, 0xa2ac15b, 0x229cbdfa,
0xa318e32, 0x22a74f40, 0xa385d1d, 0x22b1df30,
0xa3f2e19, 0x22bc6dca, 0xa460129, 0x22c6fb0c,
0xa4cd64b, 0x22d186f8, 0xa53ad7e, 0x22dc118c,
0xa5a86c4, 0x22e69ac8, 0xa61621b, 0x22f122ab,
0xa683f83, 0x22fba936, 0xa6f1efc, 0x23062e67,
0xa760086, 0x2310b23e, 0xa7ce420, 0x231b34bc,
0xa83c9ca, 0x2325b5df, 0xa8ab184, 0x233035a7,
0xa919b4e, 0x233ab414, 0xa988727, 0x23453125,
0xa9f750f, 0x234facda, 0xaa66506, 0x235a2733,
0xaad570c, 0x2364a02e, 0xab44b1f, 0x236f17cc,
0xabb4141, 0x23798e0d, 0xac23971, 0x238402ef,
0xac933ae, 0x238e7673, 0xad02ff8, 0x2398e898,
0xad72e4f, 0x23a3595e, 0xade2eb3, 0x23adc8c4,
0xae53123, 0x23b836ca, 0xaec35a0, 0x23c2a36f,
0xaf33c28, 0x23cd0eb3, 0xafa44bc, 0x23d77896,
0xb014f5b, 0x23e1e117, 0xb085c05, 0x23ec4837,
0xb0f6aba, 0x23f6adf3, 0xb167b79, 0x2401124d,
0xb1d8e43, 0x240b7543, 0xb24a316, 0x2415d6d5,
0xb2bb9f4, 0x24203704, 0xb32d2da, 0x242a95ce,
0xb39edca, 0x2434f332, 0xb410ac3, 0x243f4f32,
0xb4829c4, 0x2449a9cc, 0xb4f4acd, 0x245402ff,
0xb566ddf, 0x245e5acc, 0xb5d92f8, 0x2468b132,
0xb64ba19, 0x24730631, 0xb6be341, 0x247d59c8,
0xb730e70, 0x2487abf7, 0xb7a3ba5, 0x2491fcbe,
0xb816ae1, 0x249c4c1b, 0xb889c23, 0x24a69a0f,
0xb8fcf6b, 0x24b0e699, 0xb9704b9, 0x24bb31ba,
0xb9e3c0b, 0x24c57b6f, 0xba57563, 0x24cfc3ba,
0xbacb0bf, 0x24da0a9a, 0xbb3ee20, 0x24e4500e,
0xbbb2d85, 0x24ee9415, 0xbc26eee, 0x24f8d6b0,
0xbc9b25a, 0x250317df, 0xbd0f7ca, 0x250d57a0,
0xbd83f3d, 0x251795f3, 0xbdf88b3, 0x2521d2d8,
0xbe6d42b, 0x252c0e4f, 0xbee21a5, 0x25364857,
0xbf57121, 0x254080ef, 0xbfcc29f, 0x254ab818,
0xc04161e, 0x2554edd1, 0xc0b6b9e, 0x255f2219,
0xc12c31f, 0x256954f1, 0xc1a1ca0, 0x25738657,
0xc217822, 0x257db64c, 0xc28d5a3, 0x2587e4cf,
0xc303524, 0x259211df, 0xc3796a5, 0x259c3d7c,
0xc3efa25, 0x25a667a7, 0xc465fa3, 0x25b0905d,
0xc4dc720, 0x25bab7a0, 0xc55309b, 0x25c4dd6e,
0xc5c9c14, 0x25cf01c8, 0xc64098b, 0x25d924ac,
0xc6b78ff, 0x25e3461b, 0xc72ea70, 0x25ed6614,
0xc7a5dde, 0x25f78497, 0xc81d349, 0x2601a1a2,
0xc894aaf, 0x260bbd37, 0xc90c412, 0x2615d754,
0xc983f70, 0x261feffa, 0xc9fbcca, 0x262a0727,
0xca73c1e, 0x26341cdb, 0xcaebd6e, 0x263e3117,
0xcb640b8, 0x264843d9, 0xcbdc5fc, 0x26525521,
0xcc54d3a, 0x265c64ef, 0xcccd671, 0x26667342,
0xcd461a2, 0x2670801a, 0xcdbeecc, 0x267a8b77,
0xce37def, 0x26849558, 0xceb0f0a, 0x268e9dbd,
0xcf2a21d, 0x2698a4a6, 0xcfa3729, 0x26a2aa11,
0xd01ce2b, 0x26acadff, 0xd096725, 0x26b6b070,
0xd110216, 0x26c0b162, 0xd189efe, 0x26cab0d6,
0xd203ddc, 0x26d4aecb, 0xd27deb0, 0x26deab41,
0xd2f817b, 0x26e8a637, 0xd37263a, 0x26f29fad,
0xd3eccef, 0x26fc97a3, 0xd467599, 0x27068e18,
0xd4e2037, 0x2710830c, 0xd55ccca, 0x271a767e,
0xd5d7b50, 0x2724686e, 0xd652bcb, 0x272e58dc,
0xd6cde39, 0x273847c8, 0xd74929a, 0x27423530,
0xd7c48ee, 0x274c2115, 0xd840134, 0x27560b76,
0xd8bbb6d, 0x275ff452, 0xd937798, 0x2769dbaa,
0xd9b35b4, 0x2773c17d, 0xda2f5c2, 0x277da5cb,
0xdaab7c0, 0x27878893, 0xdb27bb0, 0x279169d5,
0xdba4190, 0x279b4990, 0xdc20960, 0x27a527c4,
0xdc9d320, 0x27af0472, 0xdd19ed0, 0x27b8df97,
0xdd96c6f, 0x27c2b934, 0xde13bfd, 0x27cc9149,
0xde90d79, 0x27d667d5, 0xdf0e0e4, 0x27e03cd8,
0xdf8b63d, 0x27ea1052, 0xe008d84, 0x27f3e241,
0xe0866b8, 0x27fdb2a7, 0xe1041d9, 0x28078181,
0xe181ee8, 0x28114ed0, 0xe1ffde2, 0x281b1a94,
0xe27dec9, 0x2824e4cc, 0xe2fc19c, 0x282ead78,
0xe37a65b, 0x28387498, 0xe3f8d05, 0x28423a2a,
0xe47759a, 0x284bfe2f, 0xe4f6019, 0x2855c0a6,
0xe574c84, 0x285f8190, 0xe5f3ad8, 0x286940ea,
0xe672b16, 0x2872feb6, 0xe6f1d3d, 0x287cbaf3,
0xe77114e, 0x288675a0, 0xe7f0748, 0x28902ebd,
0xe86ff2a, 0x2899e64a, 0xe8ef8f4, 0x28a39c46,
0xe96f4a7, 0x28ad50b1, 0xe9ef241, 0x28b7038b,
0xea6f1c2, 0x28c0b4d2, 0xeaef32b, 0x28ca6488,
0xeb6f67a, 0x28d412ab, 0xebefbb0, 0x28ddbf3b,
0xec702cb, 0x28e76a37, 0xecf0bcd, 0x28f113a0,
0xed716b4, 0x28fabb75, 0xedf2380, 0x290461b5,
0xee73231, 0x290e0661, 0xeef42c7, 0x2917a977,
0xef75541, 0x29214af8, 0xeff699f, 0x292aeae3,
0xf077fe1, 0x29348937, 0xf0f9805, 0x293e25f5,
0xf17b20d, 0x2947c11c, 0xf1fcdf8, 0x29515aab,
0xf27ebc5, 0x295af2a3, 0xf300b74, 0x29648902,
0xf382d05, 0x296e1dc9, 0xf405077, 0x2977b0f7,
0xf4875ca, 0x2981428c, 0xf509cfe, 0x298ad287,
0xf58c613, 0x299460e8, 0xf60f108, 0x299dedaf,
0xf691ddd, 0x29a778db, 0xf714c91, 0x29b1026c,
0xf797d24, 0x29ba8a61, 0xf81af97, 0x29c410ba,
0xf89e3e8, 0x29cd9578, 0xf921a17, 0x29d71899,
0xf9a5225, 0x29e09a1c, 0xfa28c10, 0x29ea1a03,
0xfaac7d8, 0x29f3984c, 0xfb3057d, 0x29fd14f6,
0xfbb4500, 0x2a069003, 0xfc3865e, 0x2a100970,
0xfcbc999, 0x2a19813f, 0xfd40eaf, 0x2a22f76e,
0xfdc55a1, 0x2a2c6bfd, 0xfe49e6d, 0x2a35deeb,
0xfece915, 0x2a3f503a, 0xff53597, 0x2a48bfe7,
0xffd83f4, 0x2a522df3, 0x1005d42a, 0x2a5b9a5d,
0x100e2639, 0x2a650525, 0x10167a22, 0x2a6e6e4b,
0x101ecfe4, 0x2a77d5ce, 0x1027277e, 0x2a813bae,
0x102f80f1, 0x2a8a9fea, 0x1037dc3b, 0x2a940283,
0x1040395d, 0x2a9d6377, 0x10489856, 0x2aa6c2c6,
0x1050f926, 0x2ab02071, 0x10595bcd, 0x2ab97c77,
0x1061c04a, 0x2ac2d6d6, 0x106a269d, 0x2acc2f90,
0x10728ec6, 0x2ad586a3, 0x107af8c4, 0x2adedc10,
0x10836497, 0x2ae82fd5, 0x108bd23f, 0x2af181f3,
0x109441bb, 0x2afad269, 0x109cb30b, 0x2b042137,
0x10a5262f, 0x2b0d6e5c, 0x10ad9b26, 0x2b16b9d9,
0x10b611f1, 0x2b2003ac, 0x10be8a8d, 0x2b294bd5,
0x10c704fd, 0x2b329255, 0x10cf813e, 0x2b3bd72a,
0x10d7ff51, 0x2b451a55, 0x10e07f36, 0x2b4e5bd4,
0x10e900ec, 0x2b579ba8, 0x10f18472, 0x2b60d9d0,
0x10fa09c9, 0x2b6a164d, 0x110290f0, 0x2b73511c,
0x110b19e7, 0x2b7c8a3f, 0x1113a4ad, 0x2b85c1b5,
0x111c3142, 0x2b8ef77d, 0x1124bfa6, 0x2b982b97,
0x112d4fd9, 0x2ba15e03, 0x1135e1d9, 0x2baa8ec0,
0x113e75a8, 0x2bb3bdce, 0x11470b44, 0x2bbceb2d,
0x114fa2ad, 0x2bc616dd, 0x11583be2, 0x2bcf40dc,
0x1160d6e5, 0x2bd8692b, 0x116973b3, 0x2be18fc9,
0x1172124d, 0x2beab4b6, 0x117ab2b3, 0x2bf3d7f2,
0x118354e4, 0x2bfcf97c, 0x118bf8e0, 0x2c061953,
0x11949ea6, 0x2c0f3779, 0x119d4636, 0x2c1853eb,
0x11a5ef90, 0x2c216eaa, 0x11ae9ab4, 0x2c2a87b6,
0x11b747a0, 0x2c339f0e, 0x11bff656, 0x2c3cb4b1,
0x11c8a6d4, 0x2c45c8a0, 0x11d1591a, 0x2c4edada,
0x11da0d28, 0x2c57eb5e, 0x11e2c2fd, 0x2c60fa2d,
0x11eb7a9a, 0x2c6a0746, 0x11f433fd, 0x2c7312a9,
0x11fcef27, 0x2c7c1c55, 0x1205ac17, 0x2c85244a,
0x120e6acc, 0x2c8e2a87, 0x12172b48, 0x2c972f0d,
0x121fed88, 0x2ca031da, 0x1228b18d, 0x2ca932ef,
0x12317756, 0x2cb2324c, 0x123a3ee4, 0x2cbb2fef,
0x12430835, 0x2cc42bd9, 0x124bd34a, 0x2ccd2609,
0x1254a021, 0x2cd61e7f, 0x125d6ebc, 0x2cdf153a,
0x12663f19, 0x2ce80a3a, 0x126f1138, 0x2cf0fd80,
0x1277e518, 0x2cf9ef09, 0x1280babb, 0x2d02ded7,
0x1289921e, 0x2d0bcce8, 0x12926b41, 0x2d14b93d,
0x129b4626, 0x2d1da3d5, 0x12a422ca, 0x2d268cb0,
0x12ad012e, 0x2d2f73cd, 0x12b5e151, 0x2d38592c,
0x12bec333, 0x2d413ccd, 0x12c7a6d4, 0x2d4a1eaf,
0x12d08c33, 0x2d52fed2, 0x12d97350, 0x2d5bdd36,
0x12e25c2b, 0x2d64b9da, 0x12eb46c3, 0x2d6d94bf,
0x12f43318, 0x2d766de2, 0x12fd2129, 0x2d7f4545,
0x130610f7, 0x2d881ae8, 0x130f0280, 0x2d90eec8,
0x1317f5c6, 0x2d99c0e7, 0x1320eac6, 0x2da29144,
0x1329e181, 0x2dab5fdf, 0x1332d9f7, 0x2db42cb6,
0x133bd427, 0x2dbcf7cb, 0x1344d011, 0x2dc5c11c,
0x134dcdb4, 0x2dce88aa, 0x1356cd11, 0x2dd74e73,
0x135fce26, 0x2de01278, 0x1368d0f3, 0x2de8d4b8,
0x1371d579, 0x2df19534, 0x137adbb6, 0x2dfa53e9,
0x1383e3ab, 0x2e0310d9, 0x138ced57, 0x2e0bcc03,
0x1395f8ba, 0x2e148566, 0x139f05d3, 0x2e1d3d03,
0x13a814a2, 0x2e25f2d8, 0x13b12526, 0x2e2ea6e6,
0x13ba3760, 0x2e37592c, 0x13c34b4f, 0x2e4009aa,
0x13cc60f2, 0x2e48b860, 0x13d5784a, 0x2e51654c,
0x13de9156, 0x2e5a1070, 0x13e7ac15, 0x2e62b9ca,
0x13f0c887, 0x2e6b615a, 0x13f9e6ad, 0x2e740720,
0x14030684, 0x2e7cab1c, 0x140c280e, 0x2e854d4d,
0x14154b4a, 0x2e8dedb3, 0x141e7037, 0x2e968c4d,
0x142796d5, 0x2e9f291b, 0x1430bf24, 0x2ea7c41e,
0x1439e923, 0x2eb05d53, 0x144314d3, 0x2eb8f4bc,
0x144c4232, 0x2ec18a58, 0x14557140, 0x2eca1e27,
0x145ea1fd, 0x2ed2b027, 0x1467d469, 0x2edb405a,
0x14710883, 0x2ee3cebe, 0x147a3e4b, 0x2eec5b53,
0x148375c1, 0x2ef4e619, 0x148caee4, 0x2efd6f10,
0x1495e9b3, 0x2f05f637, 0x149f2630, 0x2f0e7b8e,
0x14a86458, 0x2f16ff14, 0x14b1a42c, 0x2f1f80ca,
0x14bae5ab, 0x2f2800af, 0x14c428d6, 0x2f307ec2,
0x14cd6dab, 0x2f38fb03, 0x14d6b42b, 0x2f417573,
0x14dffc54, 0x2f49ee0f, 0x14e94627, 0x2f5264da,
0x14f291a4, 0x2f5ad9d1, 0x14fbdec9, 0x2f634cf5,
0x15052d97, 0x2f6bbe45, 0x150e7e0d, 0x2f742dc1,
0x1517d02b, 0x2f7c9b69, 0x152123f0, 0x2f85073c,
0x152a795d, 0x2f8d713a, 0x1533d070, 0x2f95d963,
0x153d292a, 0x2f9e3fb6, 0x15468389, 0x2fa6a433,
0x154fdf8f, 0x2faf06da, 0x15593d3a, 0x2fb767aa,
0x15629c89, 0x2fbfc6a3, 0x156bfd7d, 0x2fc823c5,
0x15756016, 0x2fd07f0f, 0x157ec452, 0x2fd8d882,
0x15882a32, 0x2fe1301c, 0x159191b5, 0x2fe985de,
0x159afadb, 0x2ff1d9c7, 0x15a465a3, 0x2ffa2bd6,
0x15add20d, 0x30027c0c, 0x15b74019, 0x300aca69,
0x15c0afc6, 0x301316eb, 0x15ca2115, 0x301b6193,
0x15d39403, 0x3023aa5f, 0x15dd0892, 0x302bf151,
0x15e67ec1, 0x30343667, 0x15eff690, 0x303c79a2,
0x15f96ffd, 0x3044bb00, 0x1602eb0a, 0x304cfa83,
0x160c67b4, 0x30553828, 0x1615e5fd, 0x305d73f0,
0x161f65e4, 0x3065addb, 0x1628e767, 0x306de5e9,
0x16326a88, 0x30761c18, 0x163bef46, 0x307e5069,
0x1645759f, 0x308682dc, 0x164efd94, 0x308eb36f,
0x16588725, 0x3096e223, 0x16621251, 0x309f0ef8,
0x166b9f18, 0x30a739ed, 0x16752d79, 0x30af6302,
0x167ebd74, 0x30b78a36, 0x16884f09, 0x30bfaf89,
0x1691e237, 0x30c7d2fb, 0x169b76fe, 0x30cff48c,
0x16a50d5d, 0x30d8143b, 0x16aea555, 0x30e03208,
0x16b83ee4, 0x30e84df3, 0x16c1da0b, 0x30f067fb,
0x16cb76c9, 0x30f8801f, 0x16d5151d, 0x31009661,
0x16deb508, 0x3108aabf, 0x16e85689, 0x3110bd39,
0x16f1f99f, 0x3118cdcf, 0x16fb9e4b, 0x3120dc80,
0x1705448b, 0x3128e94c, 0x170eec60, 0x3130f433,
0x171895c9, 0x3138fd35, 0x172240c5, 0x31410450,
0x172bed55, 0x31490986, 0x17359b78, 0x31510cd5,
0x173f4b2e, 0x31590e3e, 0x1748fc75, 0x31610dbf,
0x1752af4f, 0x31690b59, 0x175c63ba, 0x3171070c,
0x176619b6, 0x317900d6, 0x176fd143, 0x3180f8b8,
0x17798a60, 0x3188eeb2, 0x1783450d, 0x3190e2c3,
0x178d014a, 0x3198d4ea, 0x1796bf16, 0x31a0c528,
0x17a07e70, 0x31a8b37c, 0x17aa3f5a, 0x31b09fe7,
0x17b401d1, 0x31b88a66, 0x17bdc5d6, 0x31c072fb,
0x17c78b68, 0x31c859a5, 0x17d15288, 0x31d03e64,
0x17db1b34, 0x31d82137, 0x17e4e56c, 0x31e0021e,
0x17eeb130, 0x31e7e118, 0x17f87e7f, 0x31efbe27,
0x18024d59, 0x31f79948, 0x180c1dbf, 0x31ff727c,
0x1815efae, 0x320749c3, 0x181fc328, 0x320f1f1c,
0x1829982b, 0x3216f287, 0x18336eb7, 0x321ec403,
0x183d46cc, 0x32269391, 0x18472069, 0x322e6130,
0x1850fb8e, 0x32362ce0, 0x185ad83c, 0x323df6a0,
0x1864b670, 0x3245be70, 0x186e962b, 0x324d8450,
0x1878776d, 0x32554840, 0x18825a35, 0x325d0a3e,
0x188c3e83, 0x3264ca4c, 0x18962456, 0x326c8868,
0x18a00bae, 0x32744493, 0x18a9f48a, 0x327bfecc,
0x18b3deeb, 0x3283b712, 0x18bdcad0, 0x328b6d66,
0x18c7b838, 0x329321c7, 0x18d1a724, 0x329ad435,
0x18db9792, 0x32a284b0, 0x18e58982, 0x32aa3336,
0x18ef7cf4, 0x32b1dfc9, 0x18f971e8, 0x32b98a67,
0x1903685d, 0x32c13311, 0x190d6053, 0x32c8d9c6,
0x191759c9, 0x32d07e85, 0x192154bf, 0x32d82150,
0x192b5135, 0x32dfc224, 0x19354f2a, 0x32e76102,
0x193f4e9e, 0x32eefdea, 0x19494f90, 0x32f698db,
0x19535201, 0x32fe31d5, 0x195d55ef, 0x3305c8d7,
0x19675b5a, 0x330d5de3, 0x19716243, 0x3314f0f6,
0x197b6aa8, 0x331c8211, 0x19857489, 0x33241134,
0x198f7fe6, 0x332b9e5e, 0x19998cbe, 0x3333298f,
0x19a39b11, 0x333ab2c6, 0x19adaadf, 0x33423a04,
0x19b7bc27, 0x3349bf48, 0x19c1cee9, 0x33514292,
0x19cbe325, 0x3358c3e2, 0x19d5f8d9, 0x33604336,
0x19e01006, 0x3367c090, 0x19ea28ac, 0x336f3bee,
0x19f442c9, 0x3376b551, 0x19fe5e5e, 0x337e2cb7,
0x1a087b69, 0x3385a222, 0x1a1299ec, 0x338d1590,
0x1a1cb9e5, 0x33948701, 0x1a26db54, 0x339bf675,
0x1a30fe38, 0x33a363ec, 0x1a3b2292, 0x33aacf65,
0x1a454860, 0x33b238e0, 0x1a4f6fa3, 0x33b9a05d,
0x1a599859, 0x33c105db, 0x1a63c284, 0x33c8695b,
0x1a6dee21, 0x33cfcadc, 0x1a781b31, 0x33d72a5d,
0x1a8249b4, 0x33de87de, 0x1a8c79a9, 0x33e5e360,
0x1a96ab0f, 0x33ed3ce1, 0x1aa0dde7, 0x33f49462,
0x1aab122f, 0x33fbe9e2, 0x1ab547e8, 0x34033d61,
0x1abf7f11, 0x340a8edf, 0x1ac9b7a9, 0x3411de5b,
0x1ad3f1b1, 0x34192bd5, 0x1ade2d28, 0x3420774d,
0x1ae86a0d, 0x3427c0c3, 0x1af2a860, 0x342f0836,
0x1afce821, 0x34364da6, 0x1b072950, 0x343d9112,
0x1b116beb, 0x3444d27b, 0x1b1baff2, 0x344c11e0,
0x1b25f566, 0x34534f41, 0x1b303c46, 0x345a8a9d,
0x1b3a8491, 0x3461c3f5, 0x1b44ce46, 0x3468fb47,
0x1b4f1967, 0x34703095, 0x1b5965f1, 0x347763dd,
0x1b63b3e5, 0x347e951f, 0x1b6e0342, 0x3485c45b,
0x1b785409, 0x348cf190, 0x1b82a638, 0x34941cbf,
0x1b8cf9cf, 0x349b45e7, 0x1b974ece, 0x34a26d08,
0x1ba1a534, 0x34a99221, 0x1babfd01, 0x34b0b533,
0x1bb65634, 0x34b7d63c, 0x1bc0b0ce, 0x34bef53d,
0x1bcb0cce, 0x34c61236, 0x1bd56a32, 0x34cd2d26,
0x1bdfc8fc, 0x34d4460c, 0x1bea292b, 0x34db5cea,
0x1bf48abd, 0x34e271bd, 0x1bfeedb3, 0x34e98487,
0x1c09520d, 0x34f09546, 0x1c13b7c9, 0x34f7a3fb,
0x1c1e1ee9, 0x34feb0a5, 0x1c28876a, 0x3505bb44,
0x1c32f14d, 0x350cc3d8, 0x1c3d5c91, 0x3513ca60,
0x1c47c936, 0x351acedd, 0x1c52373c, 0x3521d14d,
0x1c5ca6a2, 0x3528d1b1, 0x1c671768, 0x352fd008,
0x1c71898d, 0x3536cc52, 0x1c7bfd11, 0x353dc68f,
0x1c8671f3, 0x3544bebf, 0x1c90e834, 0x354bb4e1,
0x1c9b5fd2, 0x3552a8f4, 0x1ca5d8cd, 0x35599afa,
0x1cb05326, 0x35608af1, 0x1cbacedb, 0x356778d9,
0x1cc54bec, 0x356e64b2, 0x1ccfca59, 0x35754e7c,
0x1cda4a21, 0x357c3636, 0x1ce4cb44, 0x35831be0,
0x1cef4dc2, 0x3589ff7a, 0x1cf9d199, 0x3590e104,
0x1d0456ca, 0x3597c07d, 0x1d0edd55, 0x359e9de5,
0x1d196538, 0x35a5793c, 0x1d23ee74, 0x35ac5282,
0x1d2e7908, 0x35b329b5, 0x1d3904f4, 0x35b9fed7,
0x1d439236, 0x35c0d1e7, 0x1d4e20d0, 0x35c7a2e3,
0x1d58b0c0, 0x35ce71ce, 0x1d634206, 0x35d53ea5,
0x1d6dd4a2, 0x35dc0968, 0x1d786892, 0x35e2d219,
0x1d82fdd8, 0x35e998b5, 0x1d8d9472, 0x35f05d3d,
0x1d982c60, 0x35f71fb1, 0x1da2c5a2, 0x35fde011,
0x1dad6036, 0x36049e5b, 0x1db7fc1e, 0x360b5a90,
0x1dc29958, 0x361214b0, 0x1dcd37e4, 0x3618ccba,
0x1dd7d7c1, 0x361f82af, 0x1de278ef, 0x3626368d,
0x1ded1b6e, 0x362ce855, 0x1df7bf3e, 0x36339806,
0x1e02645d, 0x363a45a0, 0x1e0d0acc, 0x3640f123,
0x1e17b28a, 0x36479a8e, 0x1e225b96, 0x364e41e2,
0x1e2d05f1, 0x3654e71d, 0x1e37b199, 0x365b8a41,
0x1e425e8f, 0x36622b4c, 0x1e4d0cd2, 0x3668ca3e,
0x1e57bc62, 0x366f6717, 0x1e626d3e, 0x367601d7,
0x1e6d1f65, 0x367c9a7e, 0x1e77d2d8, 0x3683310b,
0x1e828796, 0x3689c57d, 0x1e8d3d9e, 0x369057d6,
0x1e97f4f1, 0x3696e814, 0x1ea2ad8d, 0x369d7637,
0x1ead6773, 0x36a4023f, 0x1eb822a1, 0x36aa8c2c,
0x1ec2df18, 0x36b113fd, 0x1ecd9cd7, 0x36b799b3,
0x1ed85bdd, 0x36be1d4c, 0x1ee31c2b, 0x36c49ec9,
0x1eedddc0, 0x36cb1e2a, 0x1ef8a09b, 0x36d19b6e,
0x1f0364bc, 0x36d81695, 0x1f0e2a22, 0x36de8f9e,
0x1f18f0ce, 0x36e5068a, 0x1f23b8be, 0x36eb7b58,
0x1f2e81f3, 0x36f1ee09, 0x1f394c6b, 0x36f85e9a,
0x1f441828, 0x36fecd0e, 0x1f4ee527, 0x37053962,
0x1f59b369, 0x370ba398, 0x1f6482ed, 0x37120bae,
0x1f6f53b3, 0x371871a5, 0x1f7a25ba, 0x371ed57c,
0x1f84f902, 0x37253733, 0x1f8fcd8b, 0x372b96ca,
0x1f9aa354, 0x3731f440, 0x1fa57a5d, 0x37384f95,
0x1fb052a5, 0x373ea8ca, 0x1fbb2c2c, 0x3744ffdd,
0x1fc606f1, 0x374b54ce, 0x1fd0e2f5, 0x3751a79e,
0x1fdbc036, 0x3757f84c, 0x1fe69eb4, 0x375e46d8,
0x1ff17e70, 0x37649341, 0x1ffc5f67, 0x376add88,
0x2007419b, 0x377125ac, 0x2012250a, 0x37776bac,
0x201d09b4, 0x377daf89, 0x2027ef99, 0x3783f143,
0x2032d6b8, 0x378a30d8, 0x203dbf11, 0x37906e49,
0x2048a8a4, 0x3796a996, 0x2053936f, 0x379ce2be,
0x205e7f74, 0x37a319c2, 0x20696cb0, 0x37a94ea0,
0x20745b24, 0x37af8159, 0x207f4acf, 0x37b5b1ec,
0x208a3bb2, 0x37bbe05a, 0x20952dcb, 0x37c20ca1,
0x20a0211a, 0x37c836c2, 0x20ab159e, 0x37ce5ebd,
0x20b60b58, 0x37d48490, 0x20c10247, 0x37daa83d,
0x20cbfa6a, 0x37e0c9c3, 0x20d6f3c1, 0x37e6e921,
0x20e1ee4b, 0x37ed0657, 0x20ecea09, 0x37f32165,
0x20f7e6f9, 0x37f93a4b, 0x2102e51c, 0x37ff5109,
0x210de470, 0x3805659e, 0x2118e4f6, 0x380b780a,
0x2123e6ad, 0x3811884d, 0x212ee995, 0x38179666,
0x2139edac, 0x381da256, 0x2144f2f3, 0x3823ac1d,
0x214ff96a, 0x3829b3b9, 0x215b0110, 0x382fb92a,
0x216609e3, 0x3835bc71, 0x217113e5, 0x383bbd8e,
0x217c1f15, 0x3841bc7f, 0x21872b72, 0x3847b946,
0x219238fb, 0x384db3e0, 0x219d47b1, 0x3853ac4f,
0x21a85793, 0x3859a292, 0x21b368a0, 0x385f96a9,
0x21be7ad8, 0x38658894, 0x21c98e3b, 0x386b7852,
0x21d4a2c8, 0x387165e3, 0x21dfb87f, 0x38775147,
0x21eacf5f, 0x387d3a7e, 0x21f5e768, 0x38832187,
0x22010099, 0x38890663, 0x220c1af3, 0x388ee910,
0x22173674, 0x3894c98f, 0x2222531c, 0x389aa7e0,
0x222d70eb, 0x38a08402, 0x22388fe1, 0x38a65df6,
0x2243affc, 0x38ac35ba, 0x224ed13d, 0x38b20b4f,
0x2259f3a3, 0x38b7deb4, 0x2265172e, 0x38bdafea,
0x22703bdc, 0x38c37eef, 0x227b61af, 0x38c94bc4,
0x228688a4, 0x38cf1669, 0x2291b0bd, 0x38d4dedd,
0x229cd9f8, 0x38daa520, 0x22a80456, 0x38e06932,
0x22b32fd4, 0x38e62b13, 0x22be5c74, 0x38ebeac2,
0x22c98a35, 0x38f1a840, 0x22d4b916, 0x38f7638b,
0x22dfe917, 0x38fd1ca4, 0x22eb1a37, 0x3902d38b,
0x22f64c77, 0x3908883f, 0x23017fd5, 0x390e3ac0,
0x230cb451, 0x3913eb0e, 0x2317e9eb, 0x39199929,
0x232320a2, 0x391f4510, 0x232e5876, 0x3924eec3,
0x23399167, 0x392a9642, 0x2344cb73, 0x39303b8e,
0x2350069b, 0x3935dea4, 0x235b42df, 0x393b7f86,
0x2366803c, 0x39411e33, 0x2371beb5, 0x3946baac,
0x237cfe47, 0x394c54ee, 0x23883ef2, 0x3951ecfc,
0x239380b6, 0x395782d3, 0x239ec393, 0x395d1675,
0x23aa0788, 0x3962a7e0, 0x23b54c95, 0x39683715,
0x23c092b9, 0x396dc414, 0x23cbd9f4, 0x39734edc,
0x23d72245, 0x3978d76c, 0x23e26bac, 0x397e5dc6,
0x23edb628, 0x3983e1e8, 0x23f901ba, 0x398963d2,
0x24044e60, 0x398ee385, 0x240f9c1a, 0x399460ff,
0x241aeae8, 0x3999dc42, 0x24263ac9, 0x399f554b,
0x24318bbe, 0x39a4cc1c, 0x243cddc4, 0x39aa40b4,
0x244830dd, 0x39afb313, 0x24538507, 0x39b52339,
0x245eda43, 0x39ba9125, 0x246a308f, 0x39bffcd7,
0x247587eb, 0x39c5664f, 0x2480e057, 0x39cacd8d,
0x248c39d3, 0x39d03291, 0x2497945d, 0x39d5955a,
0x24a2eff6, 0x39daf5e8, 0x24ae4c9d, 0x39e0543c,
0x24b9aa52, 0x39e5b054, 0x24c50914, 0x39eb0a31,
0x24d068e2, 0x39f061d2, 0x24dbc9bd, 0x39f5b737,
0x24e72ba4, 0x39fb0a60, 0x24f28e96, 0x3a005b4d,
0x24fdf294, 0x3a05a9fd, 0x2509579b, 0x3a0af671,
0x2514bdad, 0x3a1040a8, 0x252024c9, 0x3a1588a2,
0x252b8cee, 0x3a1ace5f, 0x2536f61b, 0x3a2011de,
0x25426051, 0x3a25531f, 0x254dcb8f, 0x3a2a9223,
0x255937d5, 0x3a2fcee8, 0x2564a521, 0x3a350970,
0x25701374, 0x3a3a41b9, 0x257b82cd, 0x3a3f77c3,
0x2586f32c, 0x3a44ab8e, 0x25926490, 0x3a49dd1a,
0x259dd6f9, 0x3a4f0c67, 0x25a94a67, 0x3a543974,
0x25b4bed8, 0x3a596442, 0x25c0344d, 0x3a5e8cd0,
0x25cbaac5, 0x3a63b31d, 0x25d72240, 0x3a68d72b,
0x25e29abc, 0x3a6df8f8, 0x25ee143b, 0x3a731884,
0x25f98ebb, 0x3a7835cf, 0x26050a3b, 0x3a7d50da,
0x261086bc, 0x3a8269a3, 0x261c043d, 0x3a87802a,
0x262782be, 0x3a8c9470, 0x2633023e, 0x3a91a674,
0x263e82bc, 0x3a96b636, 0x264a0438, 0x3a9bc3b6,
0x265586b3, 0x3aa0cef3, 0x26610a2a, 0x3aa5d7ee,
0x266c8e9f, 0x3aaadea6, 0x26781410, 0x3aafe31b,
0x26839a7c, 0x3ab4e54c, 0x268f21e5, 0x3ab9e53a,
0x269aaa48, 0x3abee2e5, 0x26a633a6, 0x3ac3de4c,
0x26b1bdff, 0x3ac8d76f, 0x26bd4951, 0x3acdce4d,
0x26c8d59c, 0x3ad2c2e8, 0x26d462e1, 0x3ad7b53d,
0x26dff11d, 0x3adca54e, 0x26eb8052, 0x3ae1931a,
0x26f7107e, 0x3ae67ea1, 0x2702a1a1, 0x3aeb67e3,
0x270e33bb, 0x3af04edf, 0x2719c6cb, 0x3af53395,
0x27255ad1, 0x3afa1605, 0x2730efcc, 0x3afef630,
0x273c85bc, 0x3b03d414, 0x27481ca1, 0x3b08afb2,
0x2753b479, 0x3b0d8909, 0x275f4d45, 0x3b126019,
0x276ae704, 0x3b1734e2, 0x277681b6, 0x3b1c0764,
0x27821d59, 0x3b20d79e, 0x278db9ef, 0x3b25a591,
0x27995776, 0x3b2a713d, 0x27a4f5ed, 0x3b2f3aa0,
0x27b09555, 0x3b3401bb, 0x27bc35ad, 0x3b38c68e,
0x27c7d6f4, 0x3b3d8918, 0x27d3792b, 0x3b42495a,
0x27df1c50, 0x3b470753, 0x27eac063, 0x3b4bc303,
0x27f66564, 0x3b507c69, 0x28020b52, 0x3b553386,
0x280db22d, 0x3b59e85a, 0x281959f4, 0x3b5e9ae4,
0x282502a7, 0x3b634b23, 0x2830ac45, 0x3b67f919,
0x283c56cf, 0x3b6ca4c4, 0x28480243, 0x3b714e25,
0x2853aea1, 0x3b75f53c, 0x285f5be9, 0x3b7a9a07,
0x286b0a1a, 0x3b7f3c87, 0x2876b934, 0x3b83dcbc,
0x28826936, 0x3b887aa6, 0x288e1a20, 0x3b8d1644,
0x2899cbf1, 0x3b91af97, 0x28a57ea9, 0x3b96469d,
0x28b13248, 0x3b9adb57, 0x28bce6cd, 0x3b9f6dc5,
0x28c89c37, 0x3ba3fde7, 0x28d45286, 0x3ba88bbc,
0x28e009ba, 0x3bad1744, 0x28ebc1d3, 0x3bb1a080,
0x28f77acf, 0x3bb6276e, 0x290334af, 0x3bbaac0e,
0x290eef71, 0x3bbf2e62, 0x291aab16, 0x3bc3ae67,
0x2926679c, 0x3bc82c1f, 0x29322505, 0x3bcca789,
0x293de34e, 0x3bd120a4, 0x2949a278, 0x3bd59771,
0x29556282, 0x3bda0bf0, 0x2961236c, 0x3bde7e20,
0x296ce535, 0x3be2ee01, 0x2978a7dd, 0x3be75b93,
0x29846b63, 0x3bebc6d5, 0x29902fc7, 0x3bf02fc9,
0x299bf509, 0x3bf4966c, 0x29a7bb28, 0x3bf8fac0,
0x29b38223, 0x3bfd5cc4, 0x29bf49fa, 0x3c01bc78,
0x29cb12ad, 0x3c0619dc, 0x29d6dc3b, 0x3c0a74f0,
0x29e2a6a3, 0x3c0ecdb2, 0x29ee71e6, 0x3c132424,
0x29fa3e03, 0x3c177845, 0x2a060af9, 0x3c1bca16,
0x2a11d8c8, 0x3c201994, 0x2a1da770, 0x3c2466c2,
0x2a2976ef, 0x3c28b19e, 0x2a354746, 0x3c2cfa28,
0x2a411874, 0x3c314060, 0x2a4cea79, 0x3c358446,
0x2a58bd54, 0x3c39c5da, 0x2a649105, 0x3c3e051b,
0x2a70658a, 0x3c42420a, 0x2a7c3ae5, 0x3c467ca6,
0x2a881114, 0x3c4ab4ef, 0x2a93e817, 0x3c4eeae5,
0x2a9fbfed, 0x3c531e88, 0x2aab9896, 0x3c574fd8,
0x2ab77212, 0x3c5b7ed4, 0x2ac34c60, 0x3c5fab7c,
0x2acf277f, 0x3c63d5d1, 0x2adb0370, 0x3c67fdd1,
0x2ae6e031, 0x3c6c237e, 0x2af2bdc3, 0x3c7046d6,
0x2afe9c24, 0x3c7467d9, 0x2b0a7b54, 0x3c788688,
0x2b165b54, 0x3c7ca2e2, 0x2b223c22, 0x3c80bce7,
0x2b2e1dbe, 0x3c84d496, 0x2b3a0027, 0x3c88e9f1,
0x2b45e35d, 0x3c8cfcf6, 0x2b51c760, 0x3c910da5,
0x2b5dac2f, 0x3c951bff, 0x2b6991ca, 0x3c992803,
0x2b75782f, 0x3c9d31b0, 0x2b815f60, 0x3ca13908,
0x2b8d475b, 0x3ca53e09, 0x2b99301f, 0x3ca940b3,
0x2ba519ad, 0x3cad4107, 0x2bb10404, 0x3cb13f04,
0x2bbcef23, 0x3cb53aaa, 0x2bc8db0b, 0x3cb933f9,
0x2bd4c7ba, 0x3cbd2af0, 0x2be0b52f, 0x3cc11f90,
0x2beca36c, 0x3cc511d9, 0x2bf8926f, 0x3cc901c9,
0x2c048237, 0x3cccef62, 0x2c1072c4, 0x3cd0daa2,
0x2c1c6417, 0x3cd4c38b, 0x2c28562d, 0x3cd8aa1b,
0x2c344908, 0x3cdc8e52, 0x2c403ca5, 0x3ce07031,
0x2c4c3106, 0x3ce44fb7, 0x2c582629, 0x3ce82ce4,
0x2c641c0e, 0x3cec07b8, 0x2c7012b5, 0x3cefe032,
0x2c7c0a1d, 0x3cf3b653, 0x2c880245, 0x3cf78a1b,
0x2c93fb2e, 0x3cfb5b89, 0x2c9ff4d6, 0x3cff2a9d,
0x2cabef3d, 0x3d02f757, 0x2cb7ea63, 0x3d06c1b6,
0x2cc3e648, 0x3d0a89bc, 0x2ccfe2ea, 0x3d0e4f67,
0x2cdbe04a, 0x3d1212b7, 0x2ce7de66, 0x3d15d3ad,
0x2cf3dd3f, 0x3d199248, 0x2cffdcd4, 0x3d1d4e88,
0x2d0bdd25, 0x3d21086c, 0x2d17de31, 0x3d24bff6,
0x2d23dff7, 0x3d287523, 0x2d2fe277, 0x3d2c27f6,
0x2d3be5b1, 0x3d2fd86c, 0x2d47e9a5, 0x3d338687,
0x2d53ee51, 0x3d373245, 0x2d5ff3b5, 0x3d3adba7,
0x2d6bf9d1, 0x3d3e82ae, 0x2d7800a5, 0x3d422757,
0x2d84082f, 0x3d45c9a4, 0x2d901070, 0x3d496994,
0x2d9c1967, 0x3d4d0728, 0x2da82313, 0x3d50a25e,
0x2db42d74, 0x3d543b37, 0x2dc0388a, 0x3d57d1b3,
0x2dcc4454, 0x3d5b65d2, 0x2dd850d2, 0x3d5ef793,
0x2de45e03, 0x3d6286f6, 0x2df06be6, 0x3d6613fb,
0x2dfc7a7c, 0x3d699ea3, 0x2e0889c4, 0x3d6d26ec,
0x2e1499bd, 0x3d70acd7, 0x2e20aa67, 0x3d743064,
0x2e2cbbc1, 0x3d77b192, 0x2e38cdcb, 0x3d7b3061,
0x2e44e084, 0x3d7eacd2, 0x2e50f3ed, 0x3d8226e4,
0x2e5d0804, 0x3d859e96, 0x2e691cc9, 0x3d8913ea,
0x2e75323c, 0x3d8c86de, 0x2e81485c, 0x3d8ff772,
0x2e8d5f29, 0x3d9365a8, 0x2e9976a1, 0x3d96d17d,
0x2ea58ec6, 0x3d9a3af2, 0x2eb1a796, 0x3d9da208,
0x2ebdc110, 0x3da106bd, 0x2ec9db35, 0x3da46912,
0x2ed5f604, 0x3da7c907, 0x2ee2117c, 0x3dab269b,
0x2eee2d9d, 0x3dae81cf, 0x2efa4a67, 0x3db1daa2,
0x2f0667d9, 0x3db53113, 0x2f1285f2, 0x3db88524,
0x2f1ea4b2, 0x3dbbd6d4, 0x2f2ac419, 0x3dbf2622,
0x2f36e426, 0x3dc2730f, 0x2f4304d8, 0x3dc5bd9b,
0x2f4f2630, 0x3dc905c5, 0x2f5b482d, 0x3dcc4b8d,
0x2f676ace, 0x3dcf8ef3, 0x2f738e12, 0x3dd2cff7,
0x2f7fb1fa, 0x3dd60e99, 0x2f8bd685, 0x3dd94ad8,
0x2f97fbb2, 0x3ddc84b5, 0x2fa42181, 0x3ddfbc30,
0x2fb047f2, 0x3de2f148, 0x2fbc6f03, 0x3de623fd,
0x2fc896b5, 0x3de9544f, 0x2fd4bf08, 0x3dec823e,
0x2fe0e7f9, 0x3defadca, 0x2fed118a, 0x3df2d6f3,
0x2ff93bba, 0x3df5fdb8, 0x30056687, 0x3df9221a,
0x301191f3, 0x3dfc4418, 0x301dbdfb, 0x3dff63b2,
0x3029eaa1, 0x3e0280e9, 0x303617e2, 0x3e059bbb,
0x304245c0, 0x3e08b42a, 0x304e7438, 0x3e0bca34,
0x305aa34c, 0x3e0eddd9, 0x3066d2fa, 0x3e11ef1b,
0x30730342, 0x3e14fdf7, 0x307f3424, 0x3e180a6f,
0x308b659f, 0x3e1b1482, 0x309797b2, 0x3e1e1c30,
0x30a3ca5d, 0x3e212179, 0x30affda0, 0x3e24245d,
0x30bc317a, 0x3e2724db, 0x30c865ea, 0x3e2a22f4,
0x30d49af1, 0x3e2d1ea8, 0x30e0d08d, 0x3e3017f6,
0x30ed06bf, 0x3e330ede, 0x30f93d86, 0x3e360360,
0x310574e0, 0x3e38f57c, 0x3111accf, 0x3e3be532,
0x311de551, 0x3e3ed282, 0x312a1e66, 0x3e41bd6c,
0x3136580d, 0x3e44a5ef, 0x31429247, 0x3e478c0b,
0x314ecd11, 0x3e4a6fc1, 0x315b086d, 0x3e4d5110,
0x31674459, 0x3e502ff9, 0x317380d6, 0x3e530c7a,
0x317fbde2, 0x3e55e694, 0x318bfb7d, 0x3e58be47,
0x319839a6, 0x3e5b9392, 0x31a4785e, 0x3e5e6676,
0x31b0b7a4, 0x3e6136f3, 0x31bcf777, 0x3e640507,
0x31c937d6, 0x3e66d0b4, 0x31d578c2, 0x3e6999fa,
0x31e1ba3a, 0x3e6c60d7, 0x31edfc3d, 0x3e6f254c,
0x31fa3ecb, 0x3e71e759, 0x320681e3, 0x3e74a6fd,
0x3212c585, 0x3e77643a, 0x321f09b1, 0x3e7a1f0d,
0x322b4e66, 0x3e7cd778, 0x323793a3, 0x3e7f8d7b,
0x3243d968, 0x3e824114, 0x32501fb5, 0x3e84f245,
0x325c6688, 0x3e87a10c, 0x3268ade3, 0x3e8a4d6a,
0x3274f5c3, 0x3e8cf75f, 0x32813e2a, 0x3e8f9eeb,
0x328d8715, 0x3e92440d, 0x3299d085, 0x3e94e6c6,
0x32a61a7a, 0x3e978715, 0x32b264f2, 0x3e9a24fb,
0x32beafed, 0x3e9cc076, 0x32cafb6b, 0x3e9f5988,
0x32d7476c, 0x3ea1f02f, 0x32e393ef, 0x3ea4846c,
0x32efe0f2, 0x3ea7163f, 0x32fc2e77, 0x3ea9a5a8,
0x33087c7d, 0x3eac32a6, 0x3314cb02, 0x3eaebd3a,
0x33211a07, 0x3eb14563, 0x332d698a, 0x3eb3cb21,
0x3339b98d, 0x3eb64e75, 0x33460a0d, 0x3eb8cf5d,
0x33525b0b, 0x3ebb4ddb, 0x335eac86, 0x3ebdc9ed,
0x336afe7e, 0x3ec04394, 0x337750f2, 0x3ec2bad0,
0x3383a3e2, 0x3ec52fa0, 0x338ff74d, 0x3ec7a205,
0x339c4b32, 0x3eca11fe, 0x33a89f92, 0x3ecc7f8b,
0x33b4f46c, 0x3eceeaad, 0x33c149bf, 0x3ed15363,
0x33cd9f8b, 0x3ed3b9ad, 0x33d9f5cf, 0x3ed61d8a,
0x33e64c8c, 0x3ed87efc, 0x33f2a3bf, 0x3edade01,
0x33fefb6a, 0x3edd3a9a, 0x340b538b, 0x3edf94c7,
0x3417ac22, 0x3ee1ec87, 0x3424052f, 0x3ee441da,
0x34305eb0, 0x3ee694c1, 0x343cb8a7, 0x3ee8e53a,
0x34491311, 0x3eeb3347, 0x34556def, 0x3eed7ee7,
0x3461c940, 0x3eefc81a, 0x346e2504, 0x3ef20ee0,
0x347a8139, 0x3ef45338, 0x3486dde1, 0x3ef69523,
0x34933afa, 0x3ef8d4a1, 0x349f9884, 0x3efb11b1,
0x34abf67e, 0x3efd4c54, 0x34b854e7, 0x3eff8489,
0x34c4b3c0, 0x3f01ba50, 0x34d11308, 0x3f03eda9,
0x34dd72be, 0x3f061e95, 0x34e9d2e3, 0x3f084d12,
0x34f63374, 0x3f0a7921, 0x35029473, 0x3f0ca2c2,
0x350ef5de, 0x3f0ec9f5, 0x351b57b5, 0x3f10eeb9,
0x3527b9f7, 0x3f13110f, 0x35341ca5, 0x3f1530f7,
0x35407fbd, 0x3f174e70, 0x354ce33f, 0x3f19697a,
0x3559472b, 0x3f1b8215, 0x3565ab80, 0x3f1d9842,
0x3572103d, 0x3f1fabff, 0x357e7563, 0x3f21bd4e,
0x358adaf0, 0x3f23cc2e, 0x359740e5, 0x3f25d89e,
0x35a3a740, 0x3f27e29f, 0x35b00e02, 0x3f29ea31,
0x35bc7529, 0x3f2bef53, 0x35c8dcb6, 0x3f2df206,
0x35d544a7, 0x3f2ff24a, 0x35e1acfd, 0x3f31f01d,
0x35ee15b7, 0x3f33eb81, 0x35fa7ed4, 0x3f35e476,
0x3606e854, 0x3f37dafa, 0x36135237, 0x3f39cf0e,
0x361fbc7b, 0x3f3bc0b3, 0x362c2721, 0x3f3dafe7,
0x36389228, 0x3f3f9cab, 0x3644fd8f, 0x3f4186ff,
0x36516956, 0x3f436ee3, 0x365dd57d, 0x3f455456,
0x366a4203, 0x3f473759, 0x3676aee8, 0x3f4917eb,
0x36831c2b, 0x3f4af60d, 0x368f89cb, 0x3f4cd1be,
0x369bf7c9, 0x3f4eaafe, 0x36a86623, 0x3f5081cd,
0x36b4d4d9, 0x3f52562c, 0x36c143ec, 0x3f54281a,
0x36cdb359, 0x3f55f796, 0x36da2321, 0x3f57c4a2,
0x36e69344, 0x3f598f3c, 0x36f303c0, 0x3f5b5765,
0x36ff7496, 0x3f5d1d1d, 0x370be5c4, 0x3f5ee063,
0x3718574b, 0x3f60a138, 0x3724c92a, 0x3f625f9b,
0x37313b60, 0x3f641b8d, 0x373daded, 0x3f65d50d,
0x374a20d0, 0x3f678c1c, 0x3756940a, 0x3f6940b8,
0x37630799, 0x3f6af2e3, 0x376f7b7d, 0x3f6ca29c,
0x377befb5, 0x3f6e4fe3, 0x37886442, 0x3f6ffab8,
0x3794d922, 0x3f71a31b, 0x37a14e55, 0x3f73490b,
0x37adc3db, 0x3f74ec8a, 0x37ba39b3, 0x3f768d96,
0x37c6afdc, 0x3f782c30, 0x37d32657, 0x3f79c857,
0x37df9d22, 0x3f7b620c, 0x37ec143e, 0x3f7cf94e,
0x37f88ba9, 0x3f7e8e1e, 0x38050364, 0x3f80207b,
0x38117b6d, 0x3f81b065, 0x381df3c5, 0x3f833ddd,
0x382a6c6a, 0x3f84c8e2, 0x3836e55d, 0x3f865174,
0x38435e9d, 0x3f87d792, 0x384fd829, 0x3f895b3e,
0x385c5201, 0x3f8adc77, 0x3868cc24, 0x3f8c5b3d,
0x38754692, 0x3f8dd78f, 0x3881c14b, 0x3f8f516e,
0x388e3c4d, 0x3f90c8da, 0x389ab799, 0x3f923dd2,
0x38a7332e, 0x3f93b058, 0x38b3af0c, 0x3f952069,
0x38c02b31, 0x3f968e07, 0x38cca79e, 0x3f97f932,
0x38d92452, 0x3f9961e8, 0x38e5a14d, 0x3f9ac82c,
0x38f21e8e, 0x3f9c2bfb, 0x38fe9c15, 0x3f9d8d56,
0x390b19e0, 0x3f9eec3e, 0x391797f0, 0x3fa048b2,
0x39241645, 0x3fa1a2b2, 0x393094dd, 0x3fa2fa3d,
0x393d13b8, 0x3fa44f55, 0x394992d7, 0x3fa5a1f9,
0x39561237, 0x3fa6f228, 0x396291d9, 0x3fa83fe3,
0x396f11bc, 0x3fa98b2a, 0x397b91e1, 0x3faad3fd,
0x39881245, 0x3fac1a5b, 0x399492ea, 0x3fad5e45,
0x39a113cd, 0x3fae9fbb, 0x39ad94f0, 0x3fafdebb,
0x39ba1651, 0x3fb11b48, 0x39c697f0, 0x3fb2555f,
0x39d319cc, 0x3fb38d02, 0x39df9be6, 0x3fb4c231,
0x39ec1e3b, 0x3fb5f4ea, 0x39f8a0cd, 0x3fb7252f,
0x3a05239a, 0x3fb852ff, 0x3a11a6a3, 0x3fb97e5a,
0x3a1e29e5, 0x3fbaa740, 0x3a2aad62, 0x3fbbcdb1,
0x3a373119, 0x3fbcf1ad, 0x3a43b508, 0x3fbe1334,
0x3a503930, 0x3fbf3246, 0x3a5cbd91, 0x3fc04ee3,
0x3a694229, 0x3fc1690a, 0x3a75c6f8, 0x3fc280bc,
0x3a824bfd, 0x3fc395f9, 0x3a8ed139, 0x3fc4a8c1,
0x3a9b56ab, 0x3fc5b913, 0x3aa7dc52, 0x3fc6c6f0,
0x3ab4622d, 0x3fc7d258, 0x3ac0e83d, 0x3fc8db4a,
0x3acd6e81, 0x3fc9e1c6, 0x3ad9f4f8, 0x3fcae5cd,
0x3ae67ba2, 0x3fcbe75e, 0x3af3027e, 0x3fcce67a,
0x3aff898c, 0x3fcde320, 0x3b0c10cb, 0x3fcedd50,
0x3b18983b, 0x3fcfd50b, 0x3b251fdc, 0x3fd0ca4f,
0x3b31a7ac, 0x3fd1bd1e, 0x3b3e2fac, 0x3fd2ad77,
0x3b4ab7db, 0x3fd39b5a, 0x3b574039, 0x3fd486c7,
0x3b63c8c4, 0x3fd56fbe, 0x3b70517d, 0x3fd6563f,
0x3b7cda63, 0x3fd73a4a, 0x3b896375, 0x3fd81bdf,
0x3b95ecb4, 0x3fd8fafe, 0x3ba2761e, 0x3fd9d7a7,
0x3baeffb3, 0x3fdab1d9, 0x3bbb8973, 0x3fdb8996,
0x3bc8135c, 0x3fdc5edc, 0x3bd49d70, 0x3fdd31ac,
0x3be127ac, 0x3fde0205, 0x3bedb212, 0x3fdecfe8,
0x3bfa3c9f, 0x3fdf9b55, 0x3c06c754, 0x3fe0644b,
0x3c135231, 0x3fe12acb, 0x3c1fdd34, 0x3fe1eed5,
0x3c2c685d, 0x3fe2b067, 0x3c38f3ac, 0x3fe36f84,
0x3c457f21, 0x3fe42c2a, 0x3c520aba, 0x3fe4e659,
0x3c5e9678, 0x3fe59e12, 0x3c6b2259, 0x3fe65354,
0x3c77ae5e, 0x3fe7061f, 0x3c843a85, 0x3fe7b674,
0x3c90c6cf, 0x3fe86452, 0x3c9d533b, 0x3fe90fb9,
0x3ca9dfc8, 0x3fe9b8a9, 0x3cb66c77, 0x3fea5f23,
0x3cc2f945, 0x3feb0326, 0x3ccf8634, 0x3feba4b2,
0x3cdc1342, 0x3fec43c7, 0x3ce8a06f, 0x3fece065,
0x3cf52dbb, 0x3fed7a8c, 0x3d01bb24, 0x3fee123d,
0x3d0e48ab, 0x3feea776, 0x3d1ad650, 0x3fef3a39,
0x3d276410, 0x3fefca84, 0x3d33f1ed, 0x3ff05858,
0x3d407fe6, 0x3ff0e3b6, 0x3d4d0df9, 0x3ff16c9c,
0x3d599c28, 0x3ff1f30b, 0x3d662a70, 0x3ff27703,
0x3d72b8d2, 0x3ff2f884, 0x3d7f474d, 0x3ff3778e,
0x3d8bd5e1, 0x3ff3f420, 0x3d98648d, 0x3ff46e3c,
0x3da4f351, 0x3ff4e5e0, 0x3db1822c, 0x3ff55b0d,
0x3dbe111e, 0x3ff5cdc3, 0x3dcaa027, 0x3ff63e01,
0x3dd72f45, 0x3ff6abc8, 0x3de3be78, 0x3ff71718,
0x3df04dc0, 0x3ff77ff1, 0x3dfcdd1d, 0x3ff7e652,
0x3e096c8d, 0x3ff84a3c, 0x3e15fc11, 0x3ff8abae,
0x3e228ba7, 0x3ff90aaa, 0x3e2f1b50, 0x3ff9672d,
0x3e3bab0b, 0x3ff9c13a, 0x3e483ad8, 0x3ffa18cf,
0x3e54cab5, 0x3ffa6dec, 0x3e615aa3, 0x3ffac092,
0x3e6deaa1, 0x3ffb10c1, 0x3e7a7aae, 0x3ffb5e78,
0x3e870aca, 0x3ffba9b8, 0x3e939af5, 0x3ffbf280,
0x3ea02b2e, 0x3ffc38d1, 0x3eacbb74, 0x3ffc7caa,
0x3eb94bc8, 0x3ffcbe0c, 0x3ec5dc28, 0x3ffcfcf6,
0x3ed26c94, 0x3ffd3969, 0x3edefd0c, 0x3ffd7364,
0x3eeb8d8f, 0x3ffdaae7, 0x3ef81e1d, 0x3ffddff3,
0x3f04aeb5, 0x3ffe1288, 0x3f113f56, 0x3ffe42a4,
0x3f1dd001, 0x3ffe704a, 0x3f2a60b4, 0x3ffe9b77,
0x3f36f170, 0x3ffec42d, 0x3f438234, 0x3ffeea6c,
0x3f5012fe, 0x3fff0e32, 0x3f5ca3d0, 0x3fff2f82,
0x3f6934a8, 0x3fff4e59, 0x3f75c585, 0x3fff6ab9,
0x3f825668, 0x3fff84a1, 0x3f8ee750, 0x3fff9c12,
0x3f9b783c, 0x3fffb10b, 0x3fa8092c, 0x3fffc38c,
0x3fb49a1f, 0x3fffd396, 0x3fc12b16, 0x3fffe128,
0x3fcdbc0f, 0x3fffec43, 0x3fda4d09, 0x3ffff4e6,
0x3fe6de05, 0x3ffffb11, 0x3ff36f02, 0x3ffffec4,
};
/**
* \par
* Generation of realCoefBQ31 array:
* \par
* n = 4096
* <pre>for (i = 0; i < n; i++)
* {
* pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
* pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
* } </pre>
* \par
* Convert to fixed point Q31 format
* round(pBTable[i] * pow(2, 31))
*
*/
static const q31_t realCoefBQ31[8192] = {
0x40000000, 0x40000000, 0x400c90fe, 0x3ffffec4,
0x401921fb, 0x3ffffb11, 0x4025b2f7, 0x3ffff4e6,
0x403243f1, 0x3fffec43, 0x403ed4ea, 0x3fffe128,
0x404b65e1, 0x3fffd396, 0x4057f6d4, 0x3fffc38c,
0x406487c4, 0x3fffb10b, 0x407118b0, 0x3fff9c12,
0x407da998, 0x3fff84a1, 0x408a3a7b, 0x3fff6ab9,
0x4096cb58, 0x3fff4e59, 0x40a35c30, 0x3fff2f82,
0x40afed02, 0x3fff0e32, 0x40bc7dcc, 0x3ffeea6c,
0x40c90e90, 0x3ffec42d, 0x40d59f4c, 0x3ffe9b77,
0x40e22fff, 0x3ffe704a, 0x40eec0aa, 0x3ffe42a4,
0x40fb514b, 0x3ffe1288, 0x4107e1e3, 0x3ffddff3,
0x41147271, 0x3ffdaae7, 0x412102f4, 0x3ffd7364,
0x412d936c, 0x3ffd3969, 0x413a23d8, 0x3ffcfcf6,
0x4146b438, 0x3ffcbe0c, 0x4153448c, 0x3ffc7caa,
0x415fd4d2, 0x3ffc38d1, 0x416c650b, 0x3ffbf280,
0x4178f536, 0x3ffba9b8, 0x41858552, 0x3ffb5e78,
0x4192155f, 0x3ffb10c1, 0x419ea55d, 0x3ffac092,
0x41ab354b, 0x3ffa6dec, 0x41b7c528, 0x3ffa18cf,
0x41c454f5, 0x3ff9c13a, 0x41d0e4b0, 0x3ff9672d,
0x41dd7459, 0x3ff90aaa, 0x41ea03ef, 0x3ff8abae,
0x41f69373, 0x3ff84a3c, 0x420322e3, 0x3ff7e652,
0x420fb240, 0x3ff77ff1, 0x421c4188, 0x3ff71718,
0x4228d0bb, 0x3ff6abc8, 0x42355fd9, 0x3ff63e01,
0x4241eee2, 0x3ff5cdc3, 0x424e7dd4, 0x3ff55b0d,
0x425b0caf, 0x3ff4e5e0, 0x42679b73, 0x3ff46e3c,
0x42742a1f, 0x3ff3f420, 0x4280b8b3, 0x3ff3778e,
0x428d472e, 0x3ff2f884, 0x4299d590, 0x3ff27703,
0x42a663d8, 0x3ff1f30b, 0x42b2f207, 0x3ff16c9c,
0x42bf801a, 0x3ff0e3b6, 0x42cc0e13, 0x3ff05858,
0x42d89bf0, 0x3fefca84, 0x42e529b0, 0x3fef3a39,
0x42f1b755, 0x3feea776, 0x42fe44dc, 0x3fee123d,
0x430ad245, 0x3fed7a8c, 0x43175f91, 0x3fece065,
0x4323ecbe, 0x3fec43c7, 0x433079cc, 0x3feba4b2,
0x433d06bb, 0x3feb0326, 0x43499389, 0x3fea5f23,
0x43562038, 0x3fe9b8a9, 0x4362acc5, 0x3fe90fb9,
0x436f3931, 0x3fe86452, 0x437bc57b, 0x3fe7b674,
0x438851a2, 0x3fe7061f, 0x4394dda7, 0x3fe65354,
0x43a16988, 0x3fe59e12, 0x43adf546, 0x3fe4e659,
0x43ba80df, 0x3fe42c2a, 0x43c70c54, 0x3fe36f84,
0x43d397a3, 0x3fe2b067, 0x43e022cc, 0x3fe1eed5,
0x43ecadcf, 0x3fe12acb, 0x43f938ac, 0x3fe0644b,
0x4405c361, 0x3fdf9b55, 0x44124dee, 0x3fdecfe8,
0x441ed854, 0x3fde0205, 0x442b6290, 0x3fdd31ac,
0x4437eca4, 0x3fdc5edc, 0x4444768d, 0x3fdb8996,
0x4451004d, 0x3fdab1d9, 0x445d89e2, 0x3fd9d7a7,
0x446a134c, 0x3fd8fafe, 0x44769c8b, 0x3fd81bdf,
0x4483259d, 0x3fd73a4a, 0x448fae83, 0x3fd6563f,
0x449c373c, 0x3fd56fbe, 0x44a8bfc7, 0x3fd486c7,
0x44b54825, 0x3fd39b5a, 0x44c1d054, 0x3fd2ad77,
0x44ce5854, 0x3fd1bd1e, 0x44dae024, 0x3fd0ca4f,
0x44e767c5, 0x3fcfd50b, 0x44f3ef35, 0x3fcedd50,
0x45007674, 0x3fcde320, 0x450cfd82, 0x3fcce67a,
0x4519845e, 0x3fcbe75e, 0x45260b08, 0x3fcae5cd,
0x4532917f, 0x3fc9e1c6, 0x453f17c3, 0x3fc8db4a,
0x454b9dd3, 0x3fc7d258, 0x455823ae, 0x3fc6c6f0,
0x4564a955, 0x3fc5b913, 0x45712ec7, 0x3fc4a8c1,
0x457db403, 0x3fc395f9, 0x458a3908, 0x3fc280bc,
0x4596bdd7, 0x3fc1690a, 0x45a3426f, 0x3fc04ee3,
0x45afc6d0, 0x3fbf3246, 0x45bc4af8, 0x3fbe1334,
0x45c8cee7, 0x3fbcf1ad, 0x45d5529e, 0x3fbbcdb1,
0x45e1d61b, 0x3fbaa740, 0x45ee595d, 0x3fb97e5a,
0x45fadc66, 0x3fb852ff, 0x46075f33, 0x3fb7252f,
0x4613e1c5, 0x3fb5f4ea, 0x4620641a, 0x3fb4c231,
0x462ce634, 0x3fb38d02, 0x46396810, 0x3fb2555f,
0x4645e9af, 0x3fb11b48, 0x46526b10, 0x3fafdebb,
0x465eec33, 0x3fae9fbb, 0x466b6d16, 0x3fad5e45,
0x4677edbb, 0x3fac1a5b, 0x46846e1f, 0x3faad3fd,
0x4690ee44, 0x3fa98b2a, 0x469d6e27, 0x3fa83fe3,
0x46a9edc9, 0x3fa6f228, 0x46b66d29, 0x3fa5a1f9,
0x46c2ec48, 0x3fa44f55, 0x46cf6b23, 0x3fa2fa3d,
0x46dbe9bb, 0x3fa1a2b2, 0x46e86810, 0x3fa048b2,
0x46f4e620, 0x3f9eec3e, 0x470163eb, 0x3f9d8d56,
0x470de172, 0x3f9c2bfb, 0x471a5eb3, 0x3f9ac82c,
0x4726dbae, 0x3f9961e8, 0x47335862, 0x3f97f932,
0x473fd4cf, 0x3f968e07, 0x474c50f4, 0x3f952069,
0x4758ccd2, 0x3f93b058, 0x47654867, 0x3f923dd2,
0x4771c3b3, 0x3f90c8da, 0x477e3eb5, 0x3f8f516e,
0x478ab96e, 0x3f8dd78f, 0x479733dc, 0x3f8c5b3d,
0x47a3adff, 0x3f8adc77, 0x47b027d7, 0x3f895b3e,
0x47bca163, 0x3f87d792, 0x47c91aa3, 0x3f865174,
0x47d59396, 0x3f84c8e2, 0x47e20c3b, 0x3f833ddd,
0x47ee8493, 0x3f81b065, 0x47fafc9c, 0x3f80207b,
0x48077457, 0x3f7e8e1e, 0x4813ebc2, 0x3f7cf94e,
0x482062de, 0x3f7b620c, 0x482cd9a9, 0x3f79c857,
0x48395024, 0x3f782c30, 0x4845c64d, 0x3f768d96,
0x48523c25, 0x3f74ec8a, 0x485eb1ab, 0x3f73490b,
0x486b26de, 0x3f71a31b, 0x48779bbe, 0x3f6ffab8,
0x4884104b, 0x3f6e4fe3, 0x48908483, 0x3f6ca29c,
0x489cf867, 0x3f6af2e3, 0x48a96bf6, 0x3f6940b8,
0x48b5df30, 0x3f678c1c, 0x48c25213, 0x3f65d50d,
0x48cec4a0, 0x3f641b8d, 0x48db36d6, 0x3f625f9b,
0x48e7a8b5, 0x3f60a138, 0x48f41a3c, 0x3f5ee063,
0x49008b6a, 0x3f5d1d1d, 0x490cfc40, 0x3f5b5765,
0x49196cbc, 0x3f598f3c, 0x4925dcdf, 0x3f57c4a2,
0x49324ca7, 0x3f55f796, 0x493ebc14, 0x3f54281a,
0x494b2b27, 0x3f52562c, 0x495799dd, 0x3f5081cd,
0x49640837, 0x3f4eaafe, 0x49707635, 0x3f4cd1be,
0x497ce3d5, 0x3f4af60d, 0x49895118, 0x3f4917eb,
0x4995bdfd, 0x3f473759, 0x49a22a83, 0x3f455456,
0x49ae96aa, 0x3f436ee3, 0x49bb0271, 0x3f4186ff,
0x49c76dd8, 0x3f3f9cab, 0x49d3d8df, 0x3f3dafe7,
0x49e04385, 0x3f3bc0b3, 0x49ecadc9, 0x3f39cf0e,
0x49f917ac, 0x3f37dafa, 0x4a05812c, 0x3f35e476,
0x4a11ea49, 0x3f33eb81, 0x4a1e5303, 0x3f31f01d,
0x4a2abb59, 0x3f2ff24a, 0x4a37234a, 0x3f2df206,
0x4a438ad7, 0x3f2bef53, 0x4a4ff1fe, 0x3f29ea31,
0x4a5c58c0, 0x3f27e29f, 0x4a68bf1b, 0x3f25d89e,
0x4a752510, 0x3f23cc2e, 0x4a818a9d, 0x3f21bd4e,
0x4a8defc3, 0x3f1fabff, 0x4a9a5480, 0x3f1d9842,
0x4aa6b8d5, 0x3f1b8215, 0x4ab31cc1, 0x3f19697a,
0x4abf8043, 0x3f174e70, 0x4acbe35b, 0x3f1530f7,
0x4ad84609, 0x3f13110f, 0x4ae4a84b, 0x3f10eeb9,
0x4af10a22, 0x3f0ec9f5, 0x4afd6b8d, 0x3f0ca2c2,
0x4b09cc8c, 0x3f0a7921, 0x4b162d1d, 0x3f084d12,
0x4b228d42, 0x3f061e95, 0x4b2eecf8, 0x3f03eda9,
0x4b3b4c40, 0x3f01ba50, 0x4b47ab19, 0x3eff8489,
0x4b540982, 0x3efd4c54, 0x4b60677c, 0x3efb11b1,
0x4b6cc506, 0x3ef8d4a1, 0x4b79221f, 0x3ef69523,
0x4b857ec7, 0x3ef45338, 0x4b91dafc, 0x3ef20ee0,
0x4b9e36c0, 0x3eefc81a, 0x4baa9211, 0x3eed7ee7,
0x4bb6ecef, 0x3eeb3347, 0x4bc34759, 0x3ee8e53a,
0x4bcfa150, 0x3ee694c1, 0x4bdbfad1, 0x3ee441da,
0x4be853de, 0x3ee1ec87, 0x4bf4ac75, 0x3edf94c7,
0x4c010496, 0x3edd3a9a, 0x4c0d5c41, 0x3edade01,
0x4c19b374, 0x3ed87efc, 0x4c260a31, 0x3ed61d8a,
0x4c326075, 0x3ed3b9ad, 0x4c3eb641, 0x3ed15363,
0x4c4b0b94, 0x3eceeaad, 0x4c57606e, 0x3ecc7f8b,
0x4c63b4ce, 0x3eca11fe, 0x4c7008b3, 0x3ec7a205,
0x4c7c5c1e, 0x3ec52fa0, 0x4c88af0e, 0x3ec2bad0,
0x4c950182, 0x3ec04394, 0x4ca1537a, 0x3ebdc9ed,
0x4cada4f5, 0x3ebb4ddb, 0x4cb9f5f3, 0x3eb8cf5d,
0x4cc64673, 0x3eb64e75, 0x4cd29676, 0x3eb3cb21,
0x4cdee5f9, 0x3eb14563, 0x4ceb34fe, 0x3eaebd3a,
0x4cf78383, 0x3eac32a6, 0x4d03d189, 0x3ea9a5a8,
0x4d101f0e, 0x3ea7163f, 0x4d1c6c11, 0x3ea4846c,
0x4d28b894, 0x3ea1f02f, 0x4d350495, 0x3e9f5988,
0x4d415013, 0x3e9cc076, 0x4d4d9b0e, 0x3e9a24fb,
0x4d59e586, 0x3e978715, 0x4d662f7b, 0x3e94e6c6,
0x4d7278eb, 0x3e92440d, 0x4d7ec1d6, 0x3e8f9eeb,
0x4d8b0a3d, 0x3e8cf75f, 0x4d97521d, 0x3e8a4d6a,
0x4da39978, 0x3e87a10c, 0x4dafe04b, 0x3e84f245,
0x4dbc2698, 0x3e824114, 0x4dc86c5d, 0x3e7f8d7b,
0x4dd4b19a, 0x3e7cd778, 0x4de0f64f, 0x3e7a1f0d,
0x4ded3a7b, 0x3e77643a, 0x4df97e1d, 0x3e74a6fd,
0x4e05c135, 0x3e71e759, 0x4e1203c3, 0x3e6f254c,
0x4e1e45c6, 0x3e6c60d7, 0x4e2a873e, 0x3e6999fa,
0x4e36c82a, 0x3e66d0b4, 0x4e430889, 0x3e640507,
0x4e4f485c, 0x3e6136f3, 0x4e5b87a2, 0x3e5e6676,
0x4e67c65a, 0x3e5b9392, 0x4e740483, 0x3e58be47,
0x4e80421e, 0x3e55e694, 0x4e8c7f2a, 0x3e530c7a,
0x4e98bba7, 0x3e502ff9, 0x4ea4f793, 0x3e4d5110,
0x4eb132ef, 0x3e4a6fc1, 0x4ebd6db9, 0x3e478c0b,
0x4ec9a7f3, 0x3e44a5ef, 0x4ed5e19a, 0x3e41bd6c,
0x4ee21aaf, 0x3e3ed282, 0x4eee5331, 0x3e3be532,
0x4efa8b20, 0x3e38f57c, 0x4f06c27a, 0x3e360360,
0x4f12f941, 0x3e330ede, 0x4f1f2f73, 0x3e3017f6,
0x4f2b650f, 0x3e2d1ea8, 0x4f379a16, 0x3e2a22f4,
0x4f43ce86, 0x3e2724db, 0x4f500260, 0x3e24245d,
0x4f5c35a3, 0x3e212179, 0x4f68684e, 0x3e1e1c30,
0x4f749a61, 0x3e1b1482, 0x4f80cbdc, 0x3e180a6f,
0x4f8cfcbe, 0x3e14fdf7, 0x4f992d06, 0x3e11ef1b,
0x4fa55cb4, 0x3e0eddd9, 0x4fb18bc8, 0x3e0bca34,
0x4fbdba40, 0x3e08b42a, 0x4fc9e81e, 0x3e059bbb,
0x4fd6155f, 0x3e0280e9, 0x4fe24205, 0x3dff63b2,
0x4fee6e0d, 0x3dfc4418, 0x4ffa9979, 0x3df9221a,
0x5006c446, 0x3df5fdb8, 0x5012ee76, 0x3df2d6f3,
0x501f1807, 0x3defadca, 0x502b40f8, 0x3dec823e,
0x5037694b, 0x3de9544f, 0x504390fd, 0x3de623fd,
0x504fb80e, 0x3de2f148, 0x505bde7f, 0x3ddfbc30,
0x5068044e, 0x3ddc84b5, 0x5074297b, 0x3dd94ad8,
0x50804e06, 0x3dd60e99, 0x508c71ee, 0x3dd2cff7,
0x50989532, 0x3dcf8ef3, 0x50a4b7d3, 0x3dcc4b8d,
0x50b0d9d0, 0x3dc905c5, 0x50bcfb28, 0x3dc5bd9b,
0x50c91bda, 0x3dc2730f, 0x50d53be7, 0x3dbf2622,
0x50e15b4e, 0x3dbbd6d4, 0x50ed7a0e, 0x3db88524,
0x50f99827, 0x3db53113, 0x5105b599, 0x3db1daa2,
0x5111d263, 0x3dae81cf, 0x511dee84, 0x3dab269b,
0x512a09fc, 0x3da7c907, 0x513624cb, 0x3da46912,
0x51423ef0, 0x3da106bd, 0x514e586a, 0x3d9da208,
0x515a713a, 0x3d9a3af2, 0x5166895f, 0x3d96d17d,
0x5172a0d7, 0x3d9365a8, 0x517eb7a4, 0x3d8ff772,
0x518acdc4, 0x3d8c86de, 0x5196e337, 0x3d8913ea,
0x51a2f7fc, 0x3d859e96, 0x51af0c13, 0x3d8226e4,
0x51bb1f7c, 0x3d7eacd2, 0x51c73235, 0x3d7b3061,
0x51d3443f, 0x3d77b192, 0x51df5599, 0x3d743064,
0x51eb6643, 0x3d70acd7, 0x51f7763c, 0x3d6d26ec,
0x52038584, 0x3d699ea3, 0x520f941a, 0x3d6613fb,
0x521ba1fd, 0x3d6286f6, 0x5227af2e, 0x3d5ef793,
0x5233bbac, 0x3d5b65d2, 0x523fc776, 0x3d57d1b3,
0x524bd28c, 0x3d543b37, 0x5257dced, 0x3d50a25e,
0x5263e699, 0x3d4d0728, 0x526fef90, 0x3d496994,
0x527bf7d1, 0x3d45c9a4, 0x5287ff5b, 0x3d422757,
0x5294062f, 0x3d3e82ae, 0x52a00c4b, 0x3d3adba7,
0x52ac11af, 0x3d373245, 0x52b8165b, 0x3d338687,
0x52c41a4f, 0x3d2fd86c, 0x52d01d89, 0x3d2c27f6,
0x52dc2009, 0x3d287523, 0x52e821cf, 0x3d24bff6,
0x52f422db, 0x3d21086c, 0x5300232c, 0x3d1d4e88,
0x530c22c1, 0x3d199248, 0x5318219a, 0x3d15d3ad,
0x53241fb6, 0x3d1212b7, 0x53301d16, 0x3d0e4f67,
0x533c19b8, 0x3d0a89bc, 0x5348159d, 0x3d06c1b6,
0x535410c3, 0x3d02f757, 0x53600b2a, 0x3cff2a9d,
0x536c04d2, 0x3cfb5b89, 0x5377fdbb, 0x3cf78a1b,
0x5383f5e3, 0x3cf3b653, 0x538fed4b, 0x3cefe032,
0x539be3f2, 0x3cec07b8, 0x53a7d9d7, 0x3ce82ce4,
0x53b3cefa, 0x3ce44fb7, 0x53bfc35b, 0x3ce07031,
0x53cbb6f8, 0x3cdc8e52, 0x53d7a9d3, 0x3cd8aa1b,
0x53e39be9, 0x3cd4c38b, 0x53ef8d3c, 0x3cd0daa2,
0x53fb7dc9, 0x3cccef62, 0x54076d91, 0x3cc901c9,
0x54135c94, 0x3cc511d9, 0x541f4ad1, 0x3cc11f90,
0x542b3846, 0x3cbd2af0, 0x543724f5, 0x3cb933f9,
0x544310dd, 0x3cb53aaa, 0x544efbfc, 0x3cb13f04,
0x545ae653, 0x3cad4107, 0x5466cfe1, 0x3ca940b3,
0x5472b8a5, 0x3ca53e09, 0x547ea0a0, 0x3ca13908,
0x548a87d1, 0x3c9d31b0, 0x54966e36, 0x3c992803,
0x54a253d1, 0x3c951bff, 0x54ae38a0, 0x3c910da5,
0x54ba1ca3, 0x3c8cfcf6, 0x54c5ffd9, 0x3c88e9f1,
0x54d1e242, 0x3c84d496, 0x54ddc3de, 0x3c80bce7,
0x54e9a4ac, 0x3c7ca2e2, 0x54f584ac, 0x3c788688,
0x550163dc, 0x3c7467d9, 0x550d423d, 0x3c7046d6,
0x55191fcf, 0x3c6c237e, 0x5524fc90, 0x3c67fdd1,
0x5530d881, 0x3c63d5d1, 0x553cb3a0, 0x3c5fab7c,
0x55488dee, 0x3c5b7ed4, 0x5554676a, 0x3c574fd8,
0x55604013, 0x3c531e88, 0x556c17e9, 0x3c4eeae5,
0x5577eeec, 0x3c4ab4ef, 0x5583c51b, 0x3c467ca6,
0x558f9a76, 0x3c42420a, 0x559b6efb, 0x3c3e051b,
0x55a742ac, 0x3c39c5da, 0x55b31587, 0x3c358446,
0x55bee78c, 0x3c314060, 0x55cab8ba, 0x3c2cfa28,
0x55d68911, 0x3c28b19e, 0x55e25890, 0x3c2466c2,
0x55ee2738, 0x3c201994, 0x55f9f507, 0x3c1bca16,
0x5605c1fd, 0x3c177845, 0x56118e1a, 0x3c132424,
0x561d595d, 0x3c0ecdb2, 0x562923c5, 0x3c0a74f0,
0x5634ed53, 0x3c0619dc, 0x5640b606, 0x3c01bc78,
0x564c7ddd, 0x3bfd5cc4, 0x565844d8, 0x3bf8fac0,
0x56640af7, 0x3bf4966c, 0x566fd039, 0x3bf02fc9,
0x567b949d, 0x3bebc6d5, 0x56875823, 0x3be75b93,
0x56931acb, 0x3be2ee01, 0x569edc94, 0x3bde7e20,
0x56aa9d7e, 0x3bda0bf0, 0x56b65d88, 0x3bd59771,
0x56c21cb2, 0x3bd120a4, 0x56cddafb, 0x3bcca789,
0x56d99864, 0x3bc82c1f, 0x56e554ea, 0x3bc3ae67,
0x56f1108f, 0x3bbf2e62, 0x56fccb51, 0x3bbaac0e,
0x57088531, 0x3bb6276e, 0x57143e2d, 0x3bb1a080,
0x571ff646, 0x3bad1744, 0x572bad7a, 0x3ba88bbc,
0x573763c9, 0x3ba3fde7, 0x57431933, 0x3b9f6dc5,
0x574ecdb8, 0x3b9adb57, 0x575a8157, 0x3b96469d,
0x5766340f, 0x3b91af97, 0x5771e5e0, 0x3b8d1644,
0x577d96ca, 0x3b887aa6, 0x578946cc, 0x3b83dcbc,
0x5794f5e6, 0x3b7f3c87, 0x57a0a417, 0x3b7a9a07,
0x57ac515f, 0x3b75f53c, 0x57b7fdbd, 0x3b714e25,
0x57c3a931, 0x3b6ca4c4, 0x57cf53bb, 0x3b67f919,
0x57dafd59, 0x3b634b23, 0x57e6a60c, 0x3b5e9ae4,
0x57f24dd3, 0x3b59e85a, 0x57fdf4ae, 0x3b553386,
0x58099a9c, 0x3b507c69, 0x58153f9d, 0x3b4bc303,
0x5820e3b0, 0x3b470753, 0x582c86d5, 0x3b42495a,
0x5838290c, 0x3b3d8918, 0x5843ca53, 0x3b38c68e,
0x584f6aab, 0x3b3401bb, 0x585b0a13, 0x3b2f3aa0,
0x5866a88a, 0x3b2a713d, 0x58724611, 0x3b25a591,
0x587de2a7, 0x3b20d79e, 0x58897e4a, 0x3b1c0764,
0x589518fc, 0x3b1734e2, 0x58a0b2bb, 0x3b126019,
0x58ac4b87, 0x3b0d8909, 0x58b7e35f, 0x3b08afb2,
0x58c37a44, 0x3b03d414, 0x58cf1034, 0x3afef630,
0x58daa52f, 0x3afa1605, 0x58e63935, 0x3af53395,
0x58f1cc45, 0x3af04edf, 0x58fd5e5f, 0x3aeb67e3,
0x5908ef82, 0x3ae67ea1, 0x59147fae, 0x3ae1931a,
0x59200ee3, 0x3adca54e, 0x592b9d1f, 0x3ad7b53d,
0x59372a64, 0x3ad2c2e8, 0x5942b6af, 0x3acdce4d,
0x594e4201, 0x3ac8d76f, 0x5959cc5a, 0x3ac3de4c,
0x596555b8, 0x3abee2e5, 0x5970de1b, 0x3ab9e53a,
0x597c6584, 0x3ab4e54c, 0x5987ebf0, 0x3aafe31b,
0x59937161, 0x3aaadea6, 0x599ef5d6, 0x3aa5d7ee,
0x59aa794d, 0x3aa0cef3, 0x59b5fbc8, 0x3a9bc3b6,
0x59c17d44, 0x3a96b636, 0x59ccfdc2, 0x3a91a674,
0x59d87d42, 0x3a8c9470, 0x59e3fbc3, 0x3a87802a,
0x59ef7944, 0x3a8269a3, 0x59faf5c5, 0x3a7d50da,
0x5a067145, 0x3a7835cf, 0x5a11ebc5, 0x3a731884,
0x5a1d6544, 0x3a6df8f8, 0x5a28ddc0, 0x3a68d72b,
0x5a34553b, 0x3a63b31d, 0x5a3fcbb3, 0x3a5e8cd0,
0x5a4b4128, 0x3a596442, 0x5a56b599, 0x3a543974,
0x5a622907, 0x3a4f0c67, 0x5a6d9b70, 0x3a49dd1a,
0x5a790cd4, 0x3a44ab8e, 0x5a847d33, 0x3a3f77c3,
0x5a8fec8c, 0x3a3a41b9, 0x5a9b5adf, 0x3a350970,
0x5aa6c82b, 0x3a2fcee8, 0x5ab23471, 0x3a2a9223,
0x5abd9faf, 0x3a25531f, 0x5ac909e5, 0x3a2011de,
0x5ad47312, 0x3a1ace5f, 0x5adfdb37, 0x3a1588a2,
0x5aeb4253, 0x3a1040a8, 0x5af6a865, 0x3a0af671,
0x5b020d6c, 0x3a05a9fd, 0x5b0d716a, 0x3a005b4d,
0x5b18d45c, 0x39fb0a60, 0x5b243643, 0x39f5b737,
0x5b2f971e, 0x39f061d2, 0x5b3af6ec, 0x39eb0a31,
0x5b4655ae, 0x39e5b054, 0x5b51b363, 0x39e0543c,
0x5b5d100a, 0x39daf5e8, 0x5b686ba3, 0x39d5955a,
0x5b73c62d, 0x39d03291, 0x5b7f1fa9, 0x39cacd8d,
0x5b8a7815, 0x39c5664f, 0x5b95cf71, 0x39bffcd7,
0x5ba125bd, 0x39ba9125, 0x5bac7af9, 0x39b52339,
0x5bb7cf23, 0x39afb313, 0x5bc3223c, 0x39aa40b4,
0x5bce7442, 0x39a4cc1c, 0x5bd9c537, 0x399f554b,
0x5be51518, 0x3999dc42, 0x5bf063e6, 0x399460ff,
0x5bfbb1a0, 0x398ee385, 0x5c06fe46, 0x398963d2,
0x5c1249d8, 0x3983e1e8, 0x5c1d9454, 0x397e5dc6,
0x5c28ddbb, 0x3978d76c, 0x5c34260c, 0x39734edc,
0x5c3f6d47, 0x396dc414, 0x5c4ab36b, 0x39683715,
0x5c55f878, 0x3962a7e0, 0x5c613c6d, 0x395d1675,
0x5c6c7f4a, 0x395782d3, 0x5c77c10e, 0x3951ecfc,
0x5c8301b9, 0x394c54ee, 0x5c8e414b, 0x3946baac,
0x5c997fc4, 0x39411e33, 0x5ca4bd21, 0x393b7f86,
0x5caff965, 0x3935dea4, 0x5cbb348d, 0x39303b8e,
0x5cc66e99, 0x392a9642, 0x5cd1a78a, 0x3924eec3,
0x5cdcdf5e, 0x391f4510, 0x5ce81615, 0x39199929,
0x5cf34baf, 0x3913eb0e, 0x5cfe802b, 0x390e3ac0,
0x5d09b389, 0x3908883f, 0x5d14e5c9, 0x3902d38b,
0x5d2016e9, 0x38fd1ca4, 0x5d2b46ea, 0x38f7638b,
0x5d3675cb, 0x38f1a840, 0x5d41a38c, 0x38ebeac2,
0x5d4cd02c, 0x38e62b13, 0x5d57fbaa, 0x38e06932,
0x5d632608, 0x38daa520, 0x5d6e4f43, 0x38d4dedd,
0x5d79775c, 0x38cf1669, 0x5d849e51, 0x38c94bc4,
0x5d8fc424, 0x38c37eef, 0x5d9ae8d2, 0x38bdafea,
0x5da60c5d, 0x38b7deb4, 0x5db12ec3, 0x38b20b4f,
0x5dbc5004, 0x38ac35ba, 0x5dc7701f, 0x38a65df6,
0x5dd28f15, 0x38a08402, 0x5dddace4, 0x389aa7e0,
0x5de8c98c, 0x3894c98f, 0x5df3e50d, 0x388ee910,
0x5dfeff67, 0x38890663, 0x5e0a1898, 0x38832187,
0x5e1530a1, 0x387d3a7e, 0x5e204781, 0x38775147,
0x5e2b5d38, 0x387165e3, 0x5e3671c5, 0x386b7852,
0x5e418528, 0x38658894, 0x5e4c9760, 0x385f96a9,
0x5e57a86d, 0x3859a292, 0x5e62b84f, 0x3853ac4f,
0x5e6dc705, 0x384db3e0, 0x5e78d48e, 0x3847b946,
0x5e83e0eb, 0x3841bc7f, 0x5e8eec1b, 0x383bbd8e,
0x5e99f61d, 0x3835bc71, 0x5ea4fef0, 0x382fb92a,
0x5eb00696, 0x3829b3b9, 0x5ebb0d0d, 0x3823ac1d,
0x5ec61254, 0x381da256, 0x5ed1166b, 0x38179666,
0x5edc1953, 0x3811884d, 0x5ee71b0a, 0x380b780a,
0x5ef21b90, 0x3805659e, 0x5efd1ae4, 0x37ff5109,
0x5f081907, 0x37f93a4b, 0x5f1315f7, 0x37f32165,
0x5f1e11b5, 0x37ed0657, 0x5f290c3f, 0x37e6e921,
0x5f340596, 0x37e0c9c3, 0x5f3efdb9, 0x37daa83d,
0x5f49f4a8, 0x37d48490, 0x5f54ea62, 0x37ce5ebd,
0x5f5fdee6, 0x37c836c2, 0x5f6ad235, 0x37c20ca1,
0x5f75c44e, 0x37bbe05a, 0x5f80b531, 0x37b5b1ec,
0x5f8ba4dc, 0x37af8159, 0x5f969350, 0x37a94ea0,
0x5fa1808c, 0x37a319c2, 0x5fac6c91, 0x379ce2be,
0x5fb7575c, 0x3796a996, 0x5fc240ef, 0x37906e49,
0x5fcd2948, 0x378a30d8, 0x5fd81067, 0x3783f143,
0x5fe2f64c, 0x377daf89, 0x5feddaf6, 0x37776bac,
0x5ff8be65, 0x377125ac, 0x6003a099, 0x376add88,
0x600e8190, 0x37649341, 0x6019614c, 0x375e46d8,
0x60243fca, 0x3757f84c, 0x602f1d0b, 0x3751a79e,
0x6039f90f, 0x374b54ce, 0x6044d3d4, 0x3744ffdd,
0x604fad5b, 0x373ea8ca, 0x605a85a3, 0x37384f95,
0x60655cac, 0x3731f440, 0x60703275, 0x372b96ca,
0x607b06fe, 0x37253733, 0x6085da46, 0x371ed57c,
0x6090ac4d, 0x371871a5, 0x609b7d13, 0x37120bae,
0x60a64c97, 0x370ba398, 0x60b11ad9, 0x37053962,
0x60bbe7d8, 0x36fecd0e, 0x60c6b395, 0x36f85e9a,
0x60d17e0d, 0x36f1ee09, 0x60dc4742, 0x36eb7b58,
0x60e70f32, 0x36e5068a, 0x60f1d5de, 0x36de8f9e,
0x60fc9b44, 0x36d81695, 0x61075f65, 0x36d19b6e,
0x61122240, 0x36cb1e2a, 0x611ce3d5, 0x36c49ec9,
0x6127a423, 0x36be1d4c, 0x61326329, 0x36b799b3,
0x613d20e8, 0x36b113fd, 0x6147dd5f, 0x36aa8c2c,
0x6152988d, 0x36a4023f, 0x615d5273, 0x369d7637,
0x61680b0f, 0x3696e814, 0x6172c262, 0x369057d6,
0x617d786a, 0x3689c57d, 0x61882d28, 0x3683310b,
0x6192e09b, 0x367c9a7e, 0x619d92c2, 0x367601d7,
0x61a8439e, 0x366f6717, 0x61b2f32e, 0x3668ca3e,
0x61bda171, 0x36622b4c, 0x61c84e67, 0x365b8a41,
0x61d2fa0f, 0x3654e71d, 0x61dda46a, 0x364e41e2,
0x61e84d76, 0x36479a8e, 0x61f2f534, 0x3640f123,
0x61fd9ba3, 0x363a45a0, 0x620840c2, 0x36339806,
0x6212e492, 0x362ce855, 0x621d8711, 0x3626368d,
0x6228283f, 0x361f82af, 0x6232c81c, 0x3618ccba,
0x623d66a8, 0x361214b0, 0x624803e2, 0x360b5a90,
0x62529fca, 0x36049e5b, 0x625d3a5e, 0x35fde011,
0x6267d3a0, 0x35f71fb1, 0x62726b8e, 0x35f05d3d,
0x627d0228, 0x35e998b5, 0x6287976e, 0x35e2d219,
0x62922b5e, 0x35dc0968, 0x629cbdfa, 0x35d53ea5,
0x62a74f40, 0x35ce71ce, 0x62b1df30, 0x35c7a2e3,
0x62bc6dca, 0x35c0d1e7, 0x62c6fb0c, 0x35b9fed7,
0x62d186f8, 0x35b329b5, 0x62dc118c, 0x35ac5282,
0x62e69ac8, 0x35a5793c, 0x62f122ab, 0x359e9de5,
0x62fba936, 0x3597c07d, 0x63062e67, 0x3590e104,
0x6310b23e, 0x3589ff7a, 0x631b34bc, 0x35831be0,
0x6325b5df, 0x357c3636, 0x633035a7, 0x35754e7c,
0x633ab414, 0x356e64b2, 0x63453125, 0x356778d9,
0x634facda, 0x35608af1, 0x635a2733, 0x35599afa,
0x6364a02e, 0x3552a8f4, 0x636f17cc, 0x354bb4e1,
0x63798e0d, 0x3544bebf, 0x638402ef, 0x353dc68f,
0x638e7673, 0x3536cc52, 0x6398e898, 0x352fd008,
0x63a3595e, 0x3528d1b1, 0x63adc8c4, 0x3521d14d,
0x63b836ca, 0x351acedd, 0x63c2a36f, 0x3513ca60,
0x63cd0eb3, 0x350cc3d8, 0x63d77896, 0x3505bb44,
0x63e1e117, 0x34feb0a5, 0x63ec4837, 0x34f7a3fb,
0x63f6adf3, 0x34f09546, 0x6401124d, 0x34e98487,
0x640b7543, 0x34e271bd, 0x6415d6d5, 0x34db5cea,
0x64203704, 0x34d4460c, 0x642a95ce, 0x34cd2d26,
0x6434f332, 0x34c61236, 0x643f4f32, 0x34bef53d,
0x6449a9cc, 0x34b7d63c, 0x645402ff, 0x34b0b533,
0x645e5acc, 0x34a99221, 0x6468b132, 0x34a26d08,
0x64730631, 0x349b45e7, 0x647d59c8, 0x34941cbf,
0x6487abf7, 0x348cf190, 0x6491fcbe, 0x3485c45b,
0x649c4c1b, 0x347e951f, 0x64a69a0f, 0x347763dd,
0x64b0e699, 0x34703095, 0x64bb31ba, 0x3468fb47,
0x64c57b6f, 0x3461c3f5, 0x64cfc3ba, 0x345a8a9d,
0x64da0a9a, 0x34534f41, 0x64e4500e, 0x344c11e0,
0x64ee9415, 0x3444d27b, 0x64f8d6b0, 0x343d9112,
0x650317df, 0x34364da6, 0x650d57a0, 0x342f0836,
0x651795f3, 0x3427c0c3, 0x6521d2d8, 0x3420774d,
0x652c0e4f, 0x34192bd5, 0x65364857, 0x3411de5b,
0x654080ef, 0x340a8edf, 0x654ab818, 0x34033d61,
0x6554edd1, 0x33fbe9e2, 0x655f2219, 0x33f49462,
0x656954f1, 0x33ed3ce1, 0x65738657, 0x33e5e360,
0x657db64c, 0x33de87de, 0x6587e4cf, 0x33d72a5d,
0x659211df, 0x33cfcadc, 0x659c3d7c, 0x33c8695b,
0x65a667a7, 0x33c105db, 0x65b0905d, 0x33b9a05d,
0x65bab7a0, 0x33b238e0, 0x65c4dd6e, 0x33aacf65,
0x65cf01c8, 0x33a363ec, 0x65d924ac, 0x339bf675,
0x65e3461b, 0x33948701, 0x65ed6614, 0x338d1590,
0x65f78497, 0x3385a222, 0x6601a1a2, 0x337e2cb7,
0x660bbd37, 0x3376b551, 0x6615d754, 0x336f3bee,
0x661feffa, 0x3367c090, 0x662a0727, 0x33604336,
0x66341cdb, 0x3358c3e2, 0x663e3117, 0x33514292,
0x664843d9, 0x3349bf48, 0x66525521, 0x33423a04,
0x665c64ef, 0x333ab2c6, 0x66667342, 0x3333298f,
0x6670801a, 0x332b9e5e, 0x667a8b77, 0x33241134,
0x66849558, 0x331c8211, 0x668e9dbd, 0x3314f0f6,
0x6698a4a6, 0x330d5de3, 0x66a2aa11, 0x3305c8d7,
0x66acadff, 0x32fe31d5, 0x66b6b070, 0x32f698db,
0x66c0b162, 0x32eefdea, 0x66cab0d6, 0x32e76102,
0x66d4aecb, 0x32dfc224, 0x66deab41, 0x32d82150,
0x66e8a637, 0x32d07e85, 0x66f29fad, 0x32c8d9c6,
0x66fc97a3, 0x32c13311, 0x67068e18, 0x32b98a67,
0x6710830c, 0x32b1dfc9, 0x671a767e, 0x32aa3336,
0x6724686e, 0x32a284b0, 0x672e58dc, 0x329ad435,
0x673847c8, 0x329321c7, 0x67423530, 0x328b6d66,
0x674c2115, 0x3283b712, 0x67560b76, 0x327bfecc,
0x675ff452, 0x32744493, 0x6769dbaa, 0x326c8868,
0x6773c17d, 0x3264ca4c, 0x677da5cb, 0x325d0a3e,
0x67878893, 0x32554840, 0x679169d5, 0x324d8450,
0x679b4990, 0x3245be70, 0x67a527c4, 0x323df6a0,
0x67af0472, 0x32362ce0, 0x67b8df97, 0x322e6130,
0x67c2b934, 0x32269391, 0x67cc9149, 0x321ec403,
0x67d667d5, 0x3216f287, 0x67e03cd8, 0x320f1f1c,
0x67ea1052, 0x320749c3, 0x67f3e241, 0x31ff727c,
0x67fdb2a7, 0x31f79948, 0x68078181, 0x31efbe27,
0x68114ed0, 0x31e7e118, 0x681b1a94, 0x31e0021e,
0x6824e4cc, 0x31d82137, 0x682ead78, 0x31d03e64,
0x68387498, 0x31c859a5, 0x68423a2a, 0x31c072fb,
0x684bfe2f, 0x31b88a66, 0x6855c0a6, 0x31b09fe7,
0x685f8190, 0x31a8b37c, 0x686940ea, 0x31a0c528,
0x6872feb6, 0x3198d4ea, 0x687cbaf3, 0x3190e2c3,
0x688675a0, 0x3188eeb2, 0x68902ebd, 0x3180f8b8,
0x6899e64a, 0x317900d6, 0x68a39c46, 0x3171070c,
0x68ad50b1, 0x31690b59, 0x68b7038b, 0x31610dbf,
0x68c0b4d2, 0x31590e3e, 0x68ca6488, 0x31510cd5,
0x68d412ab, 0x31490986, 0x68ddbf3b, 0x31410450,
0x68e76a37, 0x3138fd35, 0x68f113a0, 0x3130f433,
0x68fabb75, 0x3128e94c, 0x690461b5, 0x3120dc80,
0x690e0661, 0x3118cdcf, 0x6917a977, 0x3110bd39,
0x69214af8, 0x3108aabf, 0x692aeae3, 0x31009661,
0x69348937, 0x30f8801f, 0x693e25f5, 0x30f067fb,
0x6947c11c, 0x30e84df3, 0x69515aab, 0x30e03208,
0x695af2a3, 0x30d8143b, 0x69648902, 0x30cff48c,
0x696e1dc9, 0x30c7d2fb, 0x6977b0f7, 0x30bfaf89,
0x6981428c, 0x30b78a36, 0x698ad287, 0x30af6302,
0x699460e8, 0x30a739ed, 0x699dedaf, 0x309f0ef8,
0x69a778db, 0x3096e223, 0x69b1026c, 0x308eb36f,
0x69ba8a61, 0x308682dc, 0x69c410ba, 0x307e5069,
0x69cd9578, 0x30761c18, 0x69d71899, 0x306de5e9,
0x69e09a1c, 0x3065addb, 0x69ea1a03, 0x305d73f0,
0x69f3984c, 0x30553828, 0x69fd14f6, 0x304cfa83,
0x6a069003, 0x3044bb00, 0x6a100970, 0x303c79a2,
0x6a19813f, 0x30343667, 0x6a22f76e, 0x302bf151,
0x6a2c6bfd, 0x3023aa5f, 0x6a35deeb, 0x301b6193,
0x6a3f503a, 0x301316eb, 0x6a48bfe7, 0x300aca69,
0x6a522df3, 0x30027c0c, 0x6a5b9a5d, 0x2ffa2bd6,
0x6a650525, 0x2ff1d9c7, 0x6a6e6e4b, 0x2fe985de,
0x6a77d5ce, 0x2fe1301c, 0x6a813bae, 0x2fd8d882,
0x6a8a9fea, 0x2fd07f0f, 0x6a940283, 0x2fc823c5,
0x6a9d6377, 0x2fbfc6a3, 0x6aa6c2c6, 0x2fb767aa,
0x6ab02071, 0x2faf06da, 0x6ab97c77, 0x2fa6a433,
0x6ac2d6d6, 0x2f9e3fb6, 0x6acc2f90, 0x2f95d963,
0x6ad586a3, 0x2f8d713a, 0x6adedc10, 0x2f85073c,
0x6ae82fd5, 0x2f7c9b69, 0x6af181f3, 0x2f742dc1,
0x6afad269, 0x2f6bbe45, 0x6b042137, 0x2f634cf5,
0x6b0d6e5c, 0x2f5ad9d1, 0x6b16b9d9, 0x2f5264da,
0x6b2003ac, 0x2f49ee0f, 0x6b294bd5, 0x2f417573,
0x6b329255, 0x2f38fb03, 0x6b3bd72a, 0x2f307ec2,
0x6b451a55, 0x2f2800af, 0x6b4e5bd4, 0x2f1f80ca,
0x6b579ba8, 0x2f16ff14, 0x6b60d9d0, 0x2f0e7b8e,
0x6b6a164d, 0x2f05f637, 0x6b73511c, 0x2efd6f10,
0x6b7c8a3f, 0x2ef4e619, 0x6b85c1b5, 0x2eec5b53,
0x6b8ef77d, 0x2ee3cebe, 0x6b982b97, 0x2edb405a,
0x6ba15e03, 0x2ed2b027, 0x6baa8ec0, 0x2eca1e27,
0x6bb3bdce, 0x2ec18a58, 0x6bbceb2d, 0x2eb8f4bc,
0x6bc616dd, 0x2eb05d53, 0x6bcf40dc, 0x2ea7c41e,
0x6bd8692b, 0x2e9f291b, 0x6be18fc9, 0x2e968c4d,
0x6beab4b6, 0x2e8dedb3, 0x6bf3d7f2, 0x2e854d4d,
0x6bfcf97c, 0x2e7cab1c, 0x6c061953, 0x2e740720,
0x6c0f3779, 0x2e6b615a, 0x6c1853eb, 0x2e62b9ca,
0x6c216eaa, 0x2e5a1070, 0x6c2a87b6, 0x2e51654c,
0x6c339f0e, 0x2e48b860, 0x6c3cb4b1, 0x2e4009aa,
0x6c45c8a0, 0x2e37592c, 0x6c4edada, 0x2e2ea6e6,
0x6c57eb5e, 0x2e25f2d8, 0x6c60fa2d, 0x2e1d3d03,
0x6c6a0746, 0x2e148566, 0x6c7312a9, 0x2e0bcc03,
0x6c7c1c55, 0x2e0310d9, 0x6c85244a, 0x2dfa53e9,
0x6c8e2a87, 0x2df19534, 0x6c972f0d, 0x2de8d4b8,
0x6ca031da, 0x2de01278, 0x6ca932ef, 0x2dd74e73,
0x6cb2324c, 0x2dce88aa, 0x6cbb2fef, 0x2dc5c11c,
0x6cc42bd9, 0x2dbcf7cb, 0x6ccd2609, 0x2db42cb6,
0x6cd61e7f, 0x2dab5fdf, 0x6cdf153a, 0x2da29144,
0x6ce80a3a, 0x2d99c0e7, 0x6cf0fd80, 0x2d90eec8,
0x6cf9ef09, 0x2d881ae8, 0x6d02ded7, 0x2d7f4545,
0x6d0bcce8, 0x2d766de2, 0x6d14b93d, 0x2d6d94bf,
0x6d1da3d5, 0x2d64b9da, 0x6d268cb0, 0x2d5bdd36,
0x6d2f73cd, 0x2d52fed2, 0x6d38592c, 0x2d4a1eaf,
0x6d413ccd, 0x2d413ccd, 0x6d4a1eaf, 0x2d38592c,
0x6d52fed2, 0x2d2f73cd, 0x6d5bdd36, 0x2d268cb0,
0x6d64b9da, 0x2d1da3d5, 0x6d6d94bf, 0x2d14b93d,
0x6d766de2, 0x2d0bcce8, 0x6d7f4545, 0x2d02ded7,
0x6d881ae8, 0x2cf9ef09, 0x6d90eec8, 0x2cf0fd80,
0x6d99c0e7, 0x2ce80a3a, 0x6da29144, 0x2cdf153a,
0x6dab5fdf, 0x2cd61e7f, 0x6db42cb6, 0x2ccd2609,
0x6dbcf7cb, 0x2cc42bd9, 0x6dc5c11c, 0x2cbb2fef,
0x6dce88aa, 0x2cb2324c, 0x6dd74e73, 0x2ca932ef,
0x6de01278, 0x2ca031da, 0x6de8d4b8, 0x2c972f0d,
0x6df19534, 0x2c8e2a87, 0x6dfa53e9, 0x2c85244a,
0x6e0310d9, 0x2c7c1c55, 0x6e0bcc03, 0x2c7312a9,
0x6e148566, 0x2c6a0746, 0x6e1d3d03, 0x2c60fa2d,
0x6e25f2d8, 0x2c57eb5e, 0x6e2ea6e6, 0x2c4edada,
0x6e37592c, 0x2c45c8a0, 0x6e4009aa, 0x2c3cb4b1,
0x6e48b860, 0x2c339f0e, 0x6e51654c, 0x2c2a87b6,
0x6e5a1070, 0x2c216eaa, 0x6e62b9ca, 0x2c1853eb,
0x6e6b615a, 0x2c0f3779, 0x6e740720, 0x2c061953,
0x6e7cab1c, 0x2bfcf97c, 0x6e854d4d, 0x2bf3d7f2,
0x6e8dedb3, 0x2beab4b6, 0x6e968c4d, 0x2be18fc9,
0x6e9f291b, 0x2bd8692b, 0x6ea7c41e, 0x2bcf40dc,
0x6eb05d53, 0x2bc616dd, 0x6eb8f4bc, 0x2bbceb2d,
0x6ec18a58, 0x2bb3bdce, 0x6eca1e27, 0x2baa8ec0,
0x6ed2b027, 0x2ba15e03, 0x6edb405a, 0x2b982b97,
0x6ee3cebe, 0x2b8ef77d, 0x6eec5b53, 0x2b85c1b5,
0x6ef4e619, 0x2b7c8a3f, 0x6efd6f10, 0x2b73511c,
0x6f05f637, 0x2b6a164d, 0x6f0e7b8e, 0x2b60d9d0,
0x6f16ff14, 0x2b579ba8, 0x6f1f80ca, 0x2b4e5bd4,
0x6f2800af, 0x2b451a55, 0x6f307ec2, 0x2b3bd72a,
0x6f38fb03, 0x2b329255, 0x6f417573, 0x2b294bd5,
0x6f49ee0f, 0x2b2003ac, 0x6f5264da, 0x2b16b9d9,
0x6f5ad9d1, 0x2b0d6e5c, 0x6f634cf5, 0x2b042137,
0x6f6bbe45, 0x2afad269, 0x6f742dc1, 0x2af181f3,
0x6f7c9b69, 0x2ae82fd5, 0x6f85073c, 0x2adedc10,
0x6f8d713a, 0x2ad586a3, 0x6f95d963, 0x2acc2f90,
0x6f9e3fb6, 0x2ac2d6d6, 0x6fa6a433, 0x2ab97c77,
0x6faf06da, 0x2ab02071, 0x6fb767aa, 0x2aa6c2c6,
0x6fbfc6a3, 0x2a9d6377, 0x6fc823c5, 0x2a940283,
0x6fd07f0f, 0x2a8a9fea, 0x6fd8d882, 0x2a813bae,
0x6fe1301c, 0x2a77d5ce, 0x6fe985de, 0x2a6e6e4b,
0x6ff1d9c7, 0x2a650525, 0x6ffa2bd6, 0x2a5b9a5d,
0x70027c0c, 0x2a522df3, 0x700aca69, 0x2a48bfe7,
0x701316eb, 0x2a3f503a, 0x701b6193, 0x2a35deeb,
0x7023aa5f, 0x2a2c6bfd, 0x702bf151, 0x2a22f76e,
0x70343667, 0x2a19813f, 0x703c79a2, 0x2a100970,
0x7044bb00, 0x2a069003, 0x704cfa83, 0x29fd14f6,
0x70553828, 0x29f3984c, 0x705d73f0, 0x29ea1a03,
0x7065addb, 0x29e09a1c, 0x706de5e9, 0x29d71899,
0x70761c18, 0x29cd9578, 0x707e5069, 0x29c410ba,
0x708682dc, 0x29ba8a61, 0x708eb36f, 0x29b1026c,
0x7096e223, 0x29a778db, 0x709f0ef8, 0x299dedaf,
0x70a739ed, 0x299460e8, 0x70af6302, 0x298ad287,
0x70b78a36, 0x2981428c, 0x70bfaf89, 0x2977b0f7,
0x70c7d2fb, 0x296e1dc9, 0x70cff48c, 0x29648902,
0x70d8143b, 0x295af2a3, 0x70e03208, 0x29515aab,
0x70e84df3, 0x2947c11c, 0x70f067fb, 0x293e25f5,
0x70f8801f, 0x29348937, 0x71009661, 0x292aeae3,
0x7108aabf, 0x29214af8, 0x7110bd39, 0x2917a977,
0x7118cdcf, 0x290e0661, 0x7120dc80, 0x290461b5,
0x7128e94c, 0x28fabb75, 0x7130f433, 0x28f113a0,
0x7138fd35, 0x28e76a37, 0x71410450, 0x28ddbf3b,
0x71490986, 0x28d412ab, 0x71510cd5, 0x28ca6488,
0x71590e3e, 0x28c0b4d2, 0x71610dbf, 0x28b7038b,
0x71690b59, 0x28ad50b1, 0x7171070c, 0x28a39c46,
0x717900d6, 0x2899e64a, 0x7180f8b8, 0x28902ebd,
0x7188eeb2, 0x288675a0, 0x7190e2c3, 0x287cbaf3,
0x7198d4ea, 0x2872feb6, 0x71a0c528, 0x286940ea,
0x71a8b37c, 0x285f8190, 0x71b09fe7, 0x2855c0a6,
0x71b88a66, 0x284bfe2f, 0x71c072fb, 0x28423a2a,
0x71c859a5, 0x28387498, 0x71d03e64, 0x282ead78,
0x71d82137, 0x2824e4cc, 0x71e0021e, 0x281b1a94,
0x71e7e118, 0x28114ed0, 0x71efbe27, 0x28078181,
0x71f79948, 0x27fdb2a7, 0x71ff727c, 0x27f3e241,
0x720749c3, 0x27ea1052, 0x720f1f1c, 0x27e03cd8,
0x7216f287, 0x27d667d5, 0x721ec403, 0x27cc9149,
0x72269391, 0x27c2b934, 0x722e6130, 0x27b8df97,
0x72362ce0, 0x27af0472, 0x723df6a0, 0x27a527c4,
0x7245be70, 0x279b4990, 0x724d8450, 0x279169d5,
0x72554840, 0x27878893, 0x725d0a3e, 0x277da5cb,
0x7264ca4c, 0x2773c17d, 0x726c8868, 0x2769dbaa,
0x72744493, 0x275ff452, 0x727bfecc, 0x27560b76,
0x7283b712, 0x274c2115, 0x728b6d66, 0x27423530,
0x729321c7, 0x273847c8, 0x729ad435, 0x272e58dc,
0x72a284b0, 0x2724686e, 0x72aa3336, 0x271a767e,
0x72b1dfc9, 0x2710830c, 0x72b98a67, 0x27068e18,
0x72c13311, 0x26fc97a3, 0x72c8d9c6, 0x26f29fad,
0x72d07e85, 0x26e8a637, 0x72d82150, 0x26deab41,
0x72dfc224, 0x26d4aecb, 0x72e76102, 0x26cab0d6,
0x72eefdea, 0x26c0b162, 0x72f698db, 0x26b6b070,
0x72fe31d5, 0x26acadff, 0x7305c8d7, 0x26a2aa11,
0x730d5de3, 0x2698a4a6, 0x7314f0f6, 0x268e9dbd,
0x731c8211, 0x26849558, 0x73241134, 0x267a8b77,
0x732b9e5e, 0x2670801a, 0x7333298f, 0x26667342,
0x733ab2c6, 0x265c64ef, 0x73423a04, 0x26525521,
0x7349bf48, 0x264843d9, 0x73514292, 0x263e3117,
0x7358c3e2, 0x26341cdb, 0x73604336, 0x262a0727,
0x7367c090, 0x261feffa, 0x736f3bee, 0x2615d754,
0x7376b551, 0x260bbd37, 0x737e2cb7, 0x2601a1a2,
0x7385a222, 0x25f78497, 0x738d1590, 0x25ed6614,
0x73948701, 0x25e3461b, 0x739bf675, 0x25d924ac,
0x73a363ec, 0x25cf01c8, 0x73aacf65, 0x25c4dd6e,
0x73b238e0, 0x25bab7a0, 0x73b9a05d, 0x25b0905d,
0x73c105db, 0x25a667a7, 0x73c8695b, 0x259c3d7c,
0x73cfcadc, 0x259211df, 0x73d72a5d, 0x2587e4cf,
0x73de87de, 0x257db64c, 0x73e5e360, 0x25738657,
0x73ed3ce1, 0x256954f1, 0x73f49462, 0x255f2219,
0x73fbe9e2, 0x2554edd1, 0x74033d61, 0x254ab818,
0x740a8edf, 0x254080ef, 0x7411de5b, 0x25364857,
0x74192bd5, 0x252c0e4f, 0x7420774d, 0x2521d2d8,
0x7427c0c3, 0x251795f3, 0x742f0836, 0x250d57a0,
0x74364da6, 0x250317df, 0x743d9112, 0x24f8d6b0,
0x7444d27b, 0x24ee9415, 0x744c11e0, 0x24e4500e,
0x74534f41, 0x24da0a9a, 0x745a8a9d, 0x24cfc3ba,
0x7461c3f5, 0x24c57b6f, 0x7468fb47, 0x24bb31ba,
0x74703095, 0x24b0e699, 0x747763dd, 0x24a69a0f,
0x747e951f, 0x249c4c1b, 0x7485c45b, 0x2491fcbe,
0x748cf190, 0x2487abf7, 0x74941cbf, 0x247d59c8,
0x749b45e7, 0x24730631, 0x74a26d08, 0x2468b132,
0x74a99221, 0x245e5acc, 0x74b0b533, 0x245402ff,
0x74b7d63c, 0x2449a9cc, 0x74bef53d, 0x243f4f32,
0x74c61236, 0x2434f332, 0x74cd2d26, 0x242a95ce,
0x74d4460c, 0x24203704, 0x74db5cea, 0x2415d6d5,
0x74e271bd, 0x240b7543, 0x74e98487, 0x2401124d,
0x74f09546, 0x23f6adf3, 0x74f7a3fb, 0x23ec4837,
0x74feb0a5, 0x23e1e117, 0x7505bb44, 0x23d77896,
0x750cc3d8, 0x23cd0eb3, 0x7513ca60, 0x23c2a36f,
0x751acedd, 0x23b836ca, 0x7521d14d, 0x23adc8c4,
0x7528d1b1, 0x23a3595e, 0x752fd008, 0x2398e898,
0x7536cc52, 0x238e7673, 0x753dc68f, 0x238402ef,
0x7544bebf, 0x23798e0d, 0x754bb4e1, 0x236f17cc,
0x7552a8f4, 0x2364a02e, 0x75599afa, 0x235a2733,
0x75608af1, 0x234facda, 0x756778d9, 0x23453125,
0x756e64b2, 0x233ab414, 0x75754e7c, 0x233035a7,
0x757c3636, 0x2325b5df, 0x75831be0, 0x231b34bc,
0x7589ff7a, 0x2310b23e, 0x7590e104, 0x23062e67,
0x7597c07d, 0x22fba936, 0x759e9de5, 0x22f122ab,
0x75a5793c, 0x22e69ac8, 0x75ac5282, 0x22dc118c,
0x75b329b5, 0x22d186f8, 0x75b9fed7, 0x22c6fb0c,
0x75c0d1e7, 0x22bc6dca, 0x75c7a2e3, 0x22b1df30,
0x75ce71ce, 0x22a74f40, 0x75d53ea5, 0x229cbdfa,
0x75dc0968, 0x22922b5e, 0x75e2d219, 0x2287976e,
0x75e998b5, 0x227d0228, 0x75f05d3d, 0x22726b8e,
0x75f71fb1, 0x2267d3a0, 0x75fde011, 0x225d3a5e,
0x76049e5b, 0x22529fca, 0x760b5a90, 0x224803e2,
0x761214b0, 0x223d66a8, 0x7618ccba, 0x2232c81c,
0x761f82af, 0x2228283f, 0x7626368d, 0x221d8711,
0x762ce855, 0x2212e492, 0x76339806, 0x220840c2,
0x763a45a0, 0x21fd9ba3, 0x7640f123, 0x21f2f534,
0x76479a8e, 0x21e84d76, 0x764e41e2, 0x21dda46a,
0x7654e71d, 0x21d2fa0f, 0x765b8a41, 0x21c84e67,
0x76622b4c, 0x21bda171, 0x7668ca3e, 0x21b2f32e,
0x766f6717, 0x21a8439e, 0x767601d7, 0x219d92c2,
0x767c9a7e, 0x2192e09b, 0x7683310b, 0x21882d28,
0x7689c57d, 0x217d786a, 0x769057d6, 0x2172c262,
0x7696e814, 0x21680b0f, 0x769d7637, 0x215d5273,
0x76a4023f, 0x2152988d, 0x76aa8c2c, 0x2147dd5f,
0x76b113fd, 0x213d20e8, 0x76b799b3, 0x21326329,
0x76be1d4c, 0x2127a423, 0x76c49ec9, 0x211ce3d5,
0x76cb1e2a, 0x21122240, 0x76d19b6e, 0x21075f65,
0x76d81695, 0x20fc9b44, 0x76de8f9e, 0x20f1d5de,
0x76e5068a, 0x20e70f32, 0x76eb7b58, 0x20dc4742,
0x76f1ee09, 0x20d17e0d, 0x76f85e9a, 0x20c6b395,
0x76fecd0e, 0x20bbe7d8, 0x77053962, 0x20b11ad9,
0x770ba398, 0x20a64c97, 0x77120bae, 0x209b7d13,
0x771871a5, 0x2090ac4d, 0x771ed57c, 0x2085da46,
0x77253733, 0x207b06fe, 0x772b96ca, 0x20703275,
0x7731f440, 0x20655cac, 0x77384f95, 0x205a85a3,
0x773ea8ca, 0x204fad5b, 0x7744ffdd, 0x2044d3d4,
0x774b54ce, 0x2039f90f, 0x7751a79e, 0x202f1d0b,
0x7757f84c, 0x20243fca, 0x775e46d8, 0x2019614c,
0x77649341, 0x200e8190, 0x776add88, 0x2003a099,
0x777125ac, 0x1ff8be65, 0x77776bac, 0x1feddaf6,
0x777daf89, 0x1fe2f64c, 0x7783f143, 0x1fd81067,
0x778a30d8, 0x1fcd2948, 0x77906e49, 0x1fc240ef,
0x7796a996, 0x1fb7575c, 0x779ce2be, 0x1fac6c91,
0x77a319c2, 0x1fa1808c, 0x77a94ea0, 0x1f969350,
0x77af8159, 0x1f8ba4dc, 0x77b5b1ec, 0x1f80b531,
0x77bbe05a, 0x1f75c44e, 0x77c20ca1, 0x1f6ad235,
0x77c836c2, 0x1f5fdee6, 0x77ce5ebd, 0x1f54ea62,
0x77d48490, 0x1f49f4a8, 0x77daa83d, 0x1f3efdb9,
0x77e0c9c3, 0x1f340596, 0x77e6e921, 0x1f290c3f,
0x77ed0657, 0x1f1e11b5, 0x77f32165, 0x1f1315f7,
0x77f93a4b, 0x1f081907, 0x77ff5109, 0x1efd1ae4,
0x7805659e, 0x1ef21b90, 0x780b780a, 0x1ee71b0a,
0x7811884d, 0x1edc1953, 0x78179666, 0x1ed1166b,
0x781da256, 0x1ec61254, 0x7823ac1d, 0x1ebb0d0d,
0x7829b3b9, 0x1eb00696, 0x782fb92a, 0x1ea4fef0,
0x7835bc71, 0x1e99f61d, 0x783bbd8e, 0x1e8eec1b,
0x7841bc7f, 0x1e83e0eb, 0x7847b946, 0x1e78d48e,
0x784db3e0, 0x1e6dc705, 0x7853ac4f, 0x1e62b84f,
0x7859a292, 0x1e57a86d, 0x785f96a9, 0x1e4c9760,
0x78658894, 0x1e418528, 0x786b7852, 0x1e3671c5,
0x787165e3, 0x1e2b5d38, 0x78775147, 0x1e204781,
0x787d3a7e, 0x1e1530a1, 0x78832187, 0x1e0a1898,
0x78890663, 0x1dfeff67, 0x788ee910, 0x1df3e50d,
0x7894c98f, 0x1de8c98c, 0x789aa7e0, 0x1dddace4,
0x78a08402, 0x1dd28f15, 0x78a65df6, 0x1dc7701f,
0x78ac35ba, 0x1dbc5004, 0x78b20b4f, 0x1db12ec3,
0x78b7deb4, 0x1da60c5d, 0x78bdafea, 0x1d9ae8d2,
0x78c37eef, 0x1d8fc424, 0x78c94bc4, 0x1d849e51,
0x78cf1669, 0x1d79775c, 0x78d4dedd, 0x1d6e4f43,
0x78daa520, 0x1d632608, 0x78e06932, 0x1d57fbaa,
0x78e62b13, 0x1d4cd02c, 0x78ebeac2, 0x1d41a38c,
0x78f1a840, 0x1d3675cb, 0x78f7638b, 0x1d2b46ea,
0x78fd1ca4, 0x1d2016e9, 0x7902d38b, 0x1d14e5c9,
0x7908883f, 0x1d09b389, 0x790e3ac0, 0x1cfe802b,
0x7913eb0e, 0x1cf34baf, 0x79199929, 0x1ce81615,
0x791f4510, 0x1cdcdf5e, 0x7924eec3, 0x1cd1a78a,
0x792a9642, 0x1cc66e99, 0x79303b8e, 0x1cbb348d,
0x7935dea4, 0x1caff965, 0x793b7f86, 0x1ca4bd21,
0x79411e33, 0x1c997fc4, 0x7946baac, 0x1c8e414b,
0x794c54ee, 0x1c8301b9, 0x7951ecfc, 0x1c77c10e,
0x795782d3, 0x1c6c7f4a, 0x795d1675, 0x1c613c6d,
0x7962a7e0, 0x1c55f878, 0x79683715, 0x1c4ab36b,
0x796dc414, 0x1c3f6d47, 0x79734edc, 0x1c34260c,
0x7978d76c, 0x1c28ddbb, 0x797e5dc6, 0x1c1d9454,
0x7983e1e8, 0x1c1249d8, 0x798963d2, 0x1c06fe46,
0x798ee385, 0x1bfbb1a0, 0x799460ff, 0x1bf063e6,
0x7999dc42, 0x1be51518, 0x799f554b, 0x1bd9c537,
0x79a4cc1c, 0x1bce7442, 0x79aa40b4, 0x1bc3223c,
0x79afb313, 0x1bb7cf23, 0x79b52339, 0x1bac7af9,
0x79ba9125, 0x1ba125bd, 0x79bffcd7, 0x1b95cf71,
0x79c5664f, 0x1b8a7815, 0x79cacd8d, 0x1b7f1fa9,
0x79d03291, 0x1b73c62d, 0x79d5955a, 0x1b686ba3,
0x79daf5e8, 0x1b5d100a, 0x79e0543c, 0x1b51b363,
0x79e5b054, 0x1b4655ae, 0x79eb0a31, 0x1b3af6ec,
0x79f061d2, 0x1b2f971e, 0x79f5b737, 0x1b243643,
0x79fb0a60, 0x1b18d45c, 0x7a005b4d, 0x1b0d716a,
0x7a05a9fd, 0x1b020d6c, 0x7a0af671, 0x1af6a865,
0x7a1040a8, 0x1aeb4253, 0x7a1588a2, 0x1adfdb37,
0x7a1ace5f, 0x1ad47312, 0x7a2011de, 0x1ac909e5,
0x7a25531f, 0x1abd9faf, 0x7a2a9223, 0x1ab23471,
0x7a2fcee8, 0x1aa6c82b, 0x7a350970, 0x1a9b5adf,
0x7a3a41b9, 0x1a8fec8c, 0x7a3f77c3, 0x1a847d33,
0x7a44ab8e, 0x1a790cd4, 0x7a49dd1a, 0x1a6d9b70,
0x7a4f0c67, 0x1a622907, 0x7a543974, 0x1a56b599,
0x7a596442, 0x1a4b4128, 0x7a5e8cd0, 0x1a3fcbb3,
0x7a63b31d, 0x1a34553b, 0x7a68d72b, 0x1a28ddc0,
0x7a6df8f8, 0x1a1d6544, 0x7a731884, 0x1a11ebc5,
0x7a7835cf, 0x1a067145, 0x7a7d50da, 0x19faf5c5,
0x7a8269a3, 0x19ef7944, 0x7a87802a, 0x19e3fbc3,
0x7a8c9470, 0x19d87d42, 0x7a91a674, 0x19ccfdc2,
0x7a96b636, 0x19c17d44, 0x7a9bc3b6, 0x19b5fbc8,
0x7aa0cef3, 0x19aa794d, 0x7aa5d7ee, 0x199ef5d6,
0x7aaadea6, 0x19937161, 0x7aafe31b, 0x1987ebf0,
0x7ab4e54c, 0x197c6584, 0x7ab9e53a, 0x1970de1b,
0x7abee2e5, 0x196555b8, 0x7ac3de4c, 0x1959cc5a,
0x7ac8d76f, 0x194e4201, 0x7acdce4d, 0x1942b6af,
0x7ad2c2e8, 0x19372a64, 0x7ad7b53d, 0x192b9d1f,
0x7adca54e, 0x19200ee3, 0x7ae1931a, 0x19147fae,
0x7ae67ea1, 0x1908ef82, 0x7aeb67e3, 0x18fd5e5f,
0x7af04edf, 0x18f1cc45, 0x7af53395, 0x18e63935,
0x7afa1605, 0x18daa52f, 0x7afef630, 0x18cf1034,
0x7b03d414, 0x18c37a44, 0x7b08afb2, 0x18b7e35f,
0x7b0d8909, 0x18ac4b87, 0x7b126019, 0x18a0b2bb,
0x7b1734e2, 0x189518fc, 0x7b1c0764, 0x18897e4a,
0x7b20d79e, 0x187de2a7, 0x7b25a591, 0x18724611,
0x7b2a713d, 0x1866a88a, 0x7b2f3aa0, 0x185b0a13,
0x7b3401bb, 0x184f6aab, 0x7b38c68e, 0x1843ca53,
0x7b3d8918, 0x1838290c, 0x7b42495a, 0x182c86d5,
0x7b470753, 0x1820e3b0, 0x7b4bc303, 0x18153f9d,
0x7b507c69, 0x18099a9c, 0x7b553386, 0x17fdf4ae,
0x7b59e85a, 0x17f24dd3, 0x7b5e9ae4, 0x17e6a60c,
0x7b634b23, 0x17dafd59, 0x7b67f919, 0x17cf53bb,
0x7b6ca4c4, 0x17c3a931, 0x7b714e25, 0x17b7fdbd,
0x7b75f53c, 0x17ac515f, 0x7b7a9a07, 0x17a0a417,
0x7b7f3c87, 0x1794f5e6, 0x7b83dcbc, 0x178946cc,
0x7b887aa6, 0x177d96ca, 0x7b8d1644, 0x1771e5e0,
0x7b91af97, 0x1766340f, 0x7b96469d, 0x175a8157,
0x7b9adb57, 0x174ecdb8, 0x7b9f6dc5, 0x17431933,
0x7ba3fde7, 0x173763c9, 0x7ba88bbc, 0x172bad7a,
0x7bad1744, 0x171ff646, 0x7bb1a080, 0x17143e2d,
0x7bb6276e, 0x17088531, 0x7bbaac0e, 0x16fccb51,
0x7bbf2e62, 0x16f1108f, 0x7bc3ae67, 0x16e554ea,
0x7bc82c1f, 0x16d99864, 0x7bcca789, 0x16cddafb,
0x7bd120a4, 0x16c21cb2, 0x7bd59771, 0x16b65d88,
0x7bda0bf0, 0x16aa9d7e, 0x7bde7e20, 0x169edc94,
0x7be2ee01, 0x16931acb, 0x7be75b93, 0x16875823,
0x7bebc6d5, 0x167b949d, 0x7bf02fc9, 0x166fd039,
0x7bf4966c, 0x16640af7, 0x7bf8fac0, 0x165844d8,
0x7bfd5cc4, 0x164c7ddd, 0x7c01bc78, 0x1640b606,
0x7c0619dc, 0x1634ed53, 0x7c0a74f0, 0x162923c5,
0x7c0ecdb2, 0x161d595d, 0x7c132424, 0x16118e1a,
0x7c177845, 0x1605c1fd, 0x7c1bca16, 0x15f9f507,
0x7c201994, 0x15ee2738, 0x7c2466c2, 0x15e25890,
0x7c28b19e, 0x15d68911, 0x7c2cfa28, 0x15cab8ba,
0x7c314060, 0x15bee78c, 0x7c358446, 0x15b31587,
0x7c39c5da, 0x15a742ac, 0x7c3e051b, 0x159b6efb,
0x7c42420a, 0x158f9a76, 0x7c467ca6, 0x1583c51b,
0x7c4ab4ef, 0x1577eeec, 0x7c4eeae5, 0x156c17e9,
0x7c531e88, 0x15604013, 0x7c574fd8, 0x1554676a,
0x7c5b7ed4, 0x15488dee, 0x7c5fab7c, 0x153cb3a0,
0x7c63d5d1, 0x1530d881, 0x7c67fdd1, 0x1524fc90,
0x7c6c237e, 0x15191fcf, 0x7c7046d6, 0x150d423d,
0x7c7467d9, 0x150163dc, 0x7c788688, 0x14f584ac,
0x7c7ca2e2, 0x14e9a4ac, 0x7c80bce7, 0x14ddc3de,
0x7c84d496, 0x14d1e242, 0x7c88e9f1, 0x14c5ffd9,
0x7c8cfcf6, 0x14ba1ca3, 0x7c910da5, 0x14ae38a0,
0x7c951bff, 0x14a253d1, 0x7c992803, 0x14966e36,
0x7c9d31b0, 0x148a87d1, 0x7ca13908, 0x147ea0a0,
0x7ca53e09, 0x1472b8a5, 0x7ca940b3, 0x1466cfe1,
0x7cad4107, 0x145ae653, 0x7cb13f04, 0x144efbfc,
0x7cb53aaa, 0x144310dd, 0x7cb933f9, 0x143724f5,
0x7cbd2af0, 0x142b3846, 0x7cc11f90, 0x141f4ad1,
0x7cc511d9, 0x14135c94, 0x7cc901c9, 0x14076d91,
0x7cccef62, 0x13fb7dc9, 0x7cd0daa2, 0x13ef8d3c,
0x7cd4c38b, 0x13e39be9, 0x7cd8aa1b, 0x13d7a9d3,
0x7cdc8e52, 0x13cbb6f8, 0x7ce07031, 0x13bfc35b,
0x7ce44fb7, 0x13b3cefa, 0x7ce82ce4, 0x13a7d9d7,
0x7cec07b8, 0x139be3f2, 0x7cefe032, 0x138fed4b,
0x7cf3b653, 0x1383f5e3, 0x7cf78a1b, 0x1377fdbb,
0x7cfb5b89, 0x136c04d2, 0x7cff2a9d, 0x13600b2a,
0x7d02f757, 0x135410c3, 0x7d06c1b6, 0x1348159d,
0x7d0a89bc, 0x133c19b8, 0x7d0e4f67, 0x13301d16,
0x7d1212b7, 0x13241fb6, 0x7d15d3ad, 0x1318219a,
0x7d199248, 0x130c22c1, 0x7d1d4e88, 0x1300232c,
0x7d21086c, 0x12f422db, 0x7d24bff6, 0x12e821cf,
0x7d287523, 0x12dc2009, 0x7d2c27f6, 0x12d01d89,
0x7d2fd86c, 0x12c41a4f, 0x7d338687, 0x12b8165b,
0x7d373245, 0x12ac11af, 0x7d3adba7, 0x12a00c4b,
0x7d3e82ae, 0x1294062f, 0x7d422757, 0x1287ff5b,
0x7d45c9a4, 0x127bf7d1, 0x7d496994, 0x126fef90,
0x7d4d0728, 0x1263e699, 0x7d50a25e, 0x1257dced,
0x7d543b37, 0x124bd28c, 0x7d57d1b3, 0x123fc776,
0x7d5b65d2, 0x1233bbac, 0x7d5ef793, 0x1227af2e,
0x7d6286f6, 0x121ba1fd, 0x7d6613fb, 0x120f941a,
0x7d699ea3, 0x12038584, 0x7d6d26ec, 0x11f7763c,
0x7d70acd7, 0x11eb6643, 0x7d743064, 0x11df5599,
0x7d77b192, 0x11d3443f, 0x7d7b3061, 0x11c73235,
0x7d7eacd2, 0x11bb1f7c, 0x7d8226e4, 0x11af0c13,
0x7d859e96, 0x11a2f7fc, 0x7d8913ea, 0x1196e337,
0x7d8c86de, 0x118acdc4, 0x7d8ff772, 0x117eb7a4,
0x7d9365a8, 0x1172a0d7, 0x7d96d17d, 0x1166895f,
0x7d9a3af2, 0x115a713a, 0x7d9da208, 0x114e586a,
0x7da106bd, 0x11423ef0, 0x7da46912, 0x113624cb,
0x7da7c907, 0x112a09fc, 0x7dab269b, 0x111dee84,
0x7dae81cf, 0x1111d263, 0x7db1daa2, 0x1105b599,
0x7db53113, 0x10f99827, 0x7db88524, 0x10ed7a0e,
0x7dbbd6d4, 0x10e15b4e, 0x7dbf2622, 0x10d53be7,
0x7dc2730f, 0x10c91bda, 0x7dc5bd9b, 0x10bcfb28,
0x7dc905c5, 0x10b0d9d0, 0x7dcc4b8d, 0x10a4b7d3,
0x7dcf8ef3, 0x10989532, 0x7dd2cff7, 0x108c71ee,
0x7dd60e99, 0x10804e06, 0x7dd94ad8, 0x1074297b,
0x7ddc84b5, 0x1068044e, 0x7ddfbc30, 0x105bde7f,
0x7de2f148, 0x104fb80e, 0x7de623fd, 0x104390fd,
0x7de9544f, 0x1037694b, 0x7dec823e, 0x102b40f8,
0x7defadca, 0x101f1807, 0x7df2d6f3, 0x1012ee76,
0x7df5fdb8, 0x1006c446, 0x7df9221a, 0xffa9979,
0x7dfc4418, 0xfee6e0d, 0x7dff63b2, 0xfe24205,
0x7e0280e9, 0xfd6155f, 0x7e059bbb, 0xfc9e81e,
0x7e08b42a, 0xfbdba40, 0x7e0bca34, 0xfb18bc8,
0x7e0eddd9, 0xfa55cb4, 0x7e11ef1b, 0xf992d06,
0x7e14fdf7, 0xf8cfcbe, 0x7e180a6f, 0xf80cbdc,
0x7e1b1482, 0xf749a61, 0x7e1e1c30, 0xf68684e,
0x7e212179, 0xf5c35a3, 0x7e24245d, 0xf500260,
0x7e2724db, 0xf43ce86, 0x7e2a22f4, 0xf379a16,
0x7e2d1ea8, 0xf2b650f, 0x7e3017f6, 0xf1f2f73,
0x7e330ede, 0xf12f941, 0x7e360360, 0xf06c27a,
0x7e38f57c, 0xefa8b20, 0x7e3be532, 0xeee5331,
0x7e3ed282, 0xee21aaf, 0x7e41bd6c, 0xed5e19a,
0x7e44a5ef, 0xec9a7f3, 0x7e478c0b, 0xebd6db9,
0x7e4a6fc1, 0xeb132ef, 0x7e4d5110, 0xea4f793,
0x7e502ff9, 0xe98bba7, 0x7e530c7a, 0xe8c7f2a,
0x7e55e694, 0xe80421e, 0x7e58be47, 0xe740483,
0x7e5b9392, 0xe67c65a, 0x7e5e6676, 0xe5b87a2,
0x7e6136f3, 0xe4f485c, 0x7e640507, 0xe430889,
0x7e66d0b4, 0xe36c82a, 0x7e6999fa, 0xe2a873e,
0x7e6c60d7, 0xe1e45c6, 0x7e6f254c, 0xe1203c3,
0x7e71e759, 0xe05c135, 0x7e74a6fd, 0xdf97e1d,
0x7e77643a, 0xded3a7b, 0x7e7a1f0d, 0xde0f64f,
0x7e7cd778, 0xdd4b19a, 0x7e7f8d7b, 0xdc86c5d,
0x7e824114, 0xdbc2698, 0x7e84f245, 0xdafe04b,
0x7e87a10c, 0xda39978, 0x7e8a4d6a, 0xd97521d,
0x7e8cf75f, 0xd8b0a3d, 0x7e8f9eeb, 0xd7ec1d6,
0x7e92440d, 0xd7278eb, 0x7e94e6c6, 0xd662f7b,
0x7e978715, 0xd59e586, 0x7e9a24fb, 0xd4d9b0e,
0x7e9cc076, 0xd415013, 0x7e9f5988, 0xd350495,
0x7ea1f02f, 0xd28b894, 0x7ea4846c, 0xd1c6c11,
0x7ea7163f, 0xd101f0e, 0x7ea9a5a8, 0xd03d189,
0x7eac32a6, 0xcf78383, 0x7eaebd3a, 0xceb34fe,
0x7eb14563, 0xcdee5f9, 0x7eb3cb21, 0xcd29676,
0x7eb64e75, 0xcc64673, 0x7eb8cf5d, 0xcb9f5f3,
0x7ebb4ddb, 0xcada4f5, 0x7ebdc9ed, 0xca1537a,
0x7ec04394, 0xc950182, 0x7ec2bad0, 0xc88af0e,
0x7ec52fa0, 0xc7c5c1e, 0x7ec7a205, 0xc7008b3,
0x7eca11fe, 0xc63b4ce, 0x7ecc7f8b, 0xc57606e,
0x7eceeaad, 0xc4b0b94, 0x7ed15363, 0xc3eb641,
0x7ed3b9ad, 0xc326075, 0x7ed61d8a, 0xc260a31,
0x7ed87efc, 0xc19b374, 0x7edade01, 0xc0d5c41,
0x7edd3a9a, 0xc010496, 0x7edf94c7, 0xbf4ac75,
0x7ee1ec87, 0xbe853de, 0x7ee441da, 0xbdbfad1,
0x7ee694c1, 0xbcfa150, 0x7ee8e53a, 0xbc34759,
0x7eeb3347, 0xbb6ecef, 0x7eed7ee7, 0xbaa9211,
0x7eefc81a, 0xb9e36c0, 0x7ef20ee0, 0xb91dafc,
0x7ef45338, 0xb857ec7, 0x7ef69523, 0xb79221f,
0x7ef8d4a1, 0xb6cc506, 0x7efb11b1, 0xb60677c,
0x7efd4c54, 0xb540982, 0x7eff8489, 0xb47ab19,
0x7f01ba50, 0xb3b4c40, 0x7f03eda9, 0xb2eecf8,
0x7f061e95, 0xb228d42, 0x7f084d12, 0xb162d1d,
0x7f0a7921, 0xb09cc8c, 0x7f0ca2c2, 0xafd6b8d,
0x7f0ec9f5, 0xaf10a22, 0x7f10eeb9, 0xae4a84b,
0x7f13110f, 0xad84609, 0x7f1530f7, 0xacbe35b,
0x7f174e70, 0xabf8043, 0x7f19697a, 0xab31cc1,
0x7f1b8215, 0xaa6b8d5, 0x7f1d9842, 0xa9a5480,
0x7f1fabff, 0xa8defc3, 0x7f21bd4e, 0xa818a9d,
0x7f23cc2e, 0xa752510, 0x7f25d89e, 0xa68bf1b,
0x7f27e29f, 0xa5c58c0, 0x7f29ea31, 0xa4ff1fe,
0x7f2bef53, 0xa438ad7, 0x7f2df206, 0xa37234a,
0x7f2ff24a, 0xa2abb59, 0x7f31f01d, 0xa1e5303,
0x7f33eb81, 0xa11ea49, 0x7f35e476, 0xa05812c,
0x7f37dafa, 0x9f917ac, 0x7f39cf0e, 0x9ecadc9,
0x7f3bc0b3, 0x9e04385, 0x7f3dafe7, 0x9d3d8df,
0x7f3f9cab, 0x9c76dd8, 0x7f4186ff, 0x9bb0271,
0x7f436ee3, 0x9ae96aa, 0x7f455456, 0x9a22a83,
0x7f473759, 0x995bdfd, 0x7f4917eb, 0x9895118,
0x7f4af60d, 0x97ce3d5, 0x7f4cd1be, 0x9707635,
0x7f4eaafe, 0x9640837, 0x7f5081cd, 0x95799dd,
0x7f52562c, 0x94b2b27, 0x7f54281a, 0x93ebc14,
0x7f55f796, 0x9324ca7, 0x7f57c4a2, 0x925dcdf,
0x7f598f3c, 0x9196cbc, 0x7f5b5765, 0x90cfc40,
0x7f5d1d1d, 0x9008b6a, 0x7f5ee063, 0x8f41a3c,
0x7f60a138, 0x8e7a8b5, 0x7f625f9b, 0x8db36d6,
0x7f641b8d, 0x8cec4a0, 0x7f65d50d, 0x8c25213,
0x7f678c1c, 0x8b5df30, 0x7f6940b8, 0x8a96bf6,
0x7f6af2e3, 0x89cf867, 0x7f6ca29c, 0x8908483,
0x7f6e4fe3, 0x884104b, 0x7f6ffab8, 0x8779bbe,
0x7f71a31b, 0x86b26de, 0x7f73490b, 0x85eb1ab,
0x7f74ec8a, 0x8523c25, 0x7f768d96, 0x845c64d,
0x7f782c30, 0x8395024, 0x7f79c857, 0x82cd9a9,
0x7f7b620c, 0x82062de, 0x7f7cf94e, 0x813ebc2,
0x7f7e8e1e, 0x8077457, 0x7f80207b, 0x7fafc9c,
0x7f81b065, 0x7ee8493, 0x7f833ddd, 0x7e20c3b,
0x7f84c8e2, 0x7d59396, 0x7f865174, 0x7c91aa3,
0x7f87d792, 0x7bca163, 0x7f895b3e, 0x7b027d7,
0x7f8adc77, 0x7a3adff, 0x7f8c5b3d, 0x79733dc,
0x7f8dd78f, 0x78ab96e, 0x7f8f516e, 0x77e3eb5,
0x7f90c8da, 0x771c3b3, 0x7f923dd2, 0x7654867,
0x7f93b058, 0x758ccd2, 0x7f952069, 0x74c50f4,
0x7f968e07, 0x73fd4cf, 0x7f97f932, 0x7335862,
0x7f9961e8, 0x726dbae, 0x7f9ac82c, 0x71a5eb3,
0x7f9c2bfb, 0x70de172, 0x7f9d8d56, 0x70163eb,
0x7f9eec3e, 0x6f4e620, 0x7fa048b2, 0x6e86810,
0x7fa1a2b2, 0x6dbe9bb, 0x7fa2fa3d, 0x6cf6b23,
0x7fa44f55, 0x6c2ec48, 0x7fa5a1f9, 0x6b66d29,
0x7fa6f228, 0x6a9edc9, 0x7fa83fe3, 0x69d6e27,
0x7fa98b2a, 0x690ee44, 0x7faad3fd, 0x6846e1f,
0x7fac1a5b, 0x677edbb, 0x7fad5e45, 0x66b6d16,
0x7fae9fbb, 0x65eec33, 0x7fafdebb, 0x6526b10,
0x7fb11b48, 0x645e9af, 0x7fb2555f, 0x6396810,
0x7fb38d02, 0x62ce634, 0x7fb4c231, 0x620641a,
0x7fb5f4ea, 0x613e1c5, 0x7fb7252f, 0x6075f33,
0x7fb852ff, 0x5fadc66, 0x7fb97e5a, 0x5ee595d,
0x7fbaa740, 0x5e1d61b, 0x7fbbcdb1, 0x5d5529e,
0x7fbcf1ad, 0x5c8cee7, 0x7fbe1334, 0x5bc4af8,
0x7fbf3246, 0x5afc6d0, 0x7fc04ee3, 0x5a3426f,
0x7fc1690a, 0x596bdd7, 0x7fc280bc, 0x58a3908,
0x7fc395f9, 0x57db403, 0x7fc4a8c1, 0x5712ec7,
0x7fc5b913, 0x564a955, 0x7fc6c6f0, 0x55823ae,
0x7fc7d258, 0x54b9dd3, 0x7fc8db4a, 0x53f17c3,
0x7fc9e1c6, 0x532917f, 0x7fcae5cd, 0x5260b08,
0x7fcbe75e, 0x519845e, 0x7fcce67a, 0x50cfd82,
0x7fcde320, 0x5007674, 0x7fcedd50, 0x4f3ef35,
0x7fcfd50b, 0x4e767c5, 0x7fd0ca4f, 0x4dae024,
0x7fd1bd1e, 0x4ce5854, 0x7fd2ad77, 0x4c1d054,
0x7fd39b5a, 0x4b54825, 0x7fd486c7, 0x4a8bfc7,
0x7fd56fbe, 0x49c373c, 0x7fd6563f, 0x48fae83,
0x7fd73a4a, 0x483259d, 0x7fd81bdf, 0x4769c8b,
0x7fd8fafe, 0x46a134c, 0x7fd9d7a7, 0x45d89e2,
0x7fdab1d9, 0x451004d, 0x7fdb8996, 0x444768d,
0x7fdc5edc, 0x437eca4, 0x7fdd31ac, 0x42b6290,
0x7fde0205, 0x41ed854, 0x7fdecfe8, 0x4124dee,
0x7fdf9b55, 0x405c361, 0x7fe0644b, 0x3f938ac,
0x7fe12acb, 0x3ecadcf, 0x7fe1eed5, 0x3e022cc,
0x7fe2b067, 0x3d397a3, 0x7fe36f84, 0x3c70c54,
0x7fe42c2a, 0x3ba80df, 0x7fe4e659, 0x3adf546,
0x7fe59e12, 0x3a16988, 0x7fe65354, 0x394dda7,
0x7fe7061f, 0x38851a2, 0x7fe7b674, 0x37bc57b,
0x7fe86452, 0x36f3931, 0x7fe90fb9, 0x362acc5,
0x7fe9b8a9, 0x3562038, 0x7fea5f23, 0x3499389,
0x7feb0326, 0x33d06bb, 0x7feba4b2, 0x33079cc,
0x7fec43c7, 0x323ecbe, 0x7fece065, 0x3175f91,
0x7fed7a8c, 0x30ad245, 0x7fee123d, 0x2fe44dc,
0x7feea776, 0x2f1b755, 0x7fef3a39, 0x2e529b0,
0x7fefca84, 0x2d89bf0, 0x7ff05858, 0x2cc0e13,
0x7ff0e3b6, 0x2bf801a, 0x7ff16c9c, 0x2b2f207,
0x7ff1f30b, 0x2a663d8, 0x7ff27703, 0x299d590,
0x7ff2f884, 0x28d472e, 0x7ff3778e, 0x280b8b3,
0x7ff3f420, 0x2742a1f, 0x7ff46e3c, 0x2679b73,
0x7ff4e5e0, 0x25b0caf, 0x7ff55b0d, 0x24e7dd4,
0x7ff5cdc3, 0x241eee2, 0x7ff63e01, 0x2355fd9,
0x7ff6abc8, 0x228d0bb, 0x7ff71718, 0x21c4188,
0x7ff77ff1, 0x20fb240, 0x7ff7e652, 0x20322e3,
0x7ff84a3c, 0x1f69373, 0x7ff8abae, 0x1ea03ef,
0x7ff90aaa, 0x1dd7459, 0x7ff9672d, 0x1d0e4b0,
0x7ff9c13a, 0x1c454f5, 0x7ffa18cf, 0x1b7c528,
0x7ffa6dec, 0x1ab354b, 0x7ffac092, 0x19ea55d,
0x7ffb10c1, 0x192155f, 0x7ffb5e78, 0x1858552,
0x7ffba9b8, 0x178f536, 0x7ffbf280, 0x16c650b,
0x7ffc38d1, 0x15fd4d2, 0x7ffc7caa, 0x153448c,
0x7ffcbe0c, 0x146b438, 0x7ffcfcf6, 0x13a23d8,
0x7ffd3969, 0x12d936c, 0x7ffd7364, 0x12102f4,
0x7ffdaae7, 0x1147271, 0x7ffddff3, 0x107e1e3,
0x7ffe1288, 0xfb514b, 0x7ffe42a4, 0xeec0aa,
0x7ffe704a, 0xe22fff, 0x7ffe9b77, 0xd59f4c,
0x7ffec42d, 0xc90e90, 0x7ffeea6c, 0xbc7dcc,
0x7fff0e32, 0xafed02, 0x7fff2f82, 0xa35c30,
0x7fff4e59, 0x96cb58, 0x7fff6ab9, 0x8a3a7b,
0x7fff84a1, 0x7da998, 0x7fff9c12, 0x7118b0,
0x7fffb10b, 0x6487c4, 0x7fffc38c, 0x57f6d4,
0x7fffd396, 0x4b65e1, 0x7fffe128, 0x3ed4ea,
0x7fffec43, 0x3243f1, 0x7ffff4e6, 0x25b2f7,
0x7ffffb11, 0x1921fb, 0x7ffffec4, 0xc90fe,
0x7fffffff, 0x0, 0x7ffffec4, 0xfff36f02,
0x7ffffb11, 0xffe6de05, 0x7ffff4e6, 0xffda4d09,
0x7fffec43, 0xffcdbc0f, 0x7fffe128, 0xffc12b16,
0x7fffd396, 0xffb49a1f, 0x7fffc38c, 0xffa8092c,
0x7fffb10b, 0xff9b783c, 0x7fff9c12, 0xff8ee750,
0x7fff84a1, 0xff825668, 0x7fff6ab9, 0xff75c585,
0x7fff4e59, 0xff6934a8, 0x7fff2f82, 0xff5ca3d0,
0x7fff0e32, 0xff5012fe, 0x7ffeea6c, 0xff438234,
0x7ffec42d, 0xff36f170, 0x7ffe9b77, 0xff2a60b4,
0x7ffe704a, 0xff1dd001, 0x7ffe42a4, 0xff113f56,
0x7ffe1288, 0xff04aeb5, 0x7ffddff3, 0xfef81e1d,
0x7ffdaae7, 0xfeeb8d8f, 0x7ffd7364, 0xfedefd0c,
0x7ffd3969, 0xfed26c94, 0x7ffcfcf6, 0xfec5dc28,
0x7ffcbe0c, 0xfeb94bc8, 0x7ffc7caa, 0xfeacbb74,
0x7ffc38d1, 0xfea02b2e, 0x7ffbf280, 0xfe939af5,
0x7ffba9b8, 0xfe870aca, 0x7ffb5e78, 0xfe7a7aae,
0x7ffb10c1, 0xfe6deaa1, 0x7ffac092, 0xfe615aa3,
0x7ffa6dec, 0xfe54cab5, 0x7ffa18cf, 0xfe483ad8,
0x7ff9c13a, 0xfe3bab0b, 0x7ff9672d, 0xfe2f1b50,
0x7ff90aaa, 0xfe228ba7, 0x7ff8abae, 0xfe15fc11,
0x7ff84a3c, 0xfe096c8d, 0x7ff7e652, 0xfdfcdd1d,
0x7ff77ff1, 0xfdf04dc0, 0x7ff71718, 0xfde3be78,
0x7ff6abc8, 0xfdd72f45, 0x7ff63e01, 0xfdcaa027,
0x7ff5cdc3, 0xfdbe111e, 0x7ff55b0d, 0xfdb1822c,
0x7ff4e5e0, 0xfda4f351, 0x7ff46e3c, 0xfd98648d,
0x7ff3f420, 0xfd8bd5e1, 0x7ff3778e, 0xfd7f474d,
0x7ff2f884, 0xfd72b8d2, 0x7ff27703, 0xfd662a70,
0x7ff1f30b, 0xfd599c28, 0x7ff16c9c, 0xfd4d0df9,
0x7ff0e3b6, 0xfd407fe6, 0x7ff05858, 0xfd33f1ed,
0x7fefca84, 0xfd276410, 0x7fef3a39, 0xfd1ad650,
0x7feea776, 0xfd0e48ab, 0x7fee123d, 0xfd01bb24,
0x7fed7a8c, 0xfcf52dbb, 0x7fece065, 0xfce8a06f,
0x7fec43c7, 0xfcdc1342, 0x7feba4b2, 0xfccf8634,
0x7feb0326, 0xfcc2f945, 0x7fea5f23, 0xfcb66c77,
0x7fe9b8a9, 0xfca9dfc8, 0x7fe90fb9, 0xfc9d533b,
0x7fe86452, 0xfc90c6cf, 0x7fe7b674, 0xfc843a85,
0x7fe7061f, 0xfc77ae5e, 0x7fe65354, 0xfc6b2259,
0x7fe59e12, 0xfc5e9678, 0x7fe4e659, 0xfc520aba,
0x7fe42c2a, 0xfc457f21, 0x7fe36f84, 0xfc38f3ac,
0x7fe2b067, 0xfc2c685d, 0x7fe1eed5, 0xfc1fdd34,
0x7fe12acb, 0xfc135231, 0x7fe0644b, 0xfc06c754,
0x7fdf9b55, 0xfbfa3c9f, 0x7fdecfe8, 0xfbedb212,
0x7fde0205, 0xfbe127ac, 0x7fdd31ac, 0xfbd49d70,
0x7fdc5edc, 0xfbc8135c, 0x7fdb8996, 0xfbbb8973,
0x7fdab1d9, 0xfbaeffb3, 0x7fd9d7a7, 0xfba2761e,
0x7fd8fafe, 0xfb95ecb4, 0x7fd81bdf, 0xfb896375,
0x7fd73a4a, 0xfb7cda63, 0x7fd6563f, 0xfb70517d,
0x7fd56fbe, 0xfb63c8c4, 0x7fd486c7, 0xfb574039,
0x7fd39b5a, 0xfb4ab7db, 0x7fd2ad77, 0xfb3e2fac,
0x7fd1bd1e, 0xfb31a7ac, 0x7fd0ca4f, 0xfb251fdc,
0x7fcfd50b, 0xfb18983b, 0x7fcedd50, 0xfb0c10cb,
0x7fcde320, 0xfaff898c, 0x7fcce67a, 0xfaf3027e,
0x7fcbe75e, 0xfae67ba2, 0x7fcae5cd, 0xfad9f4f8,
0x7fc9e1c6, 0xfacd6e81, 0x7fc8db4a, 0xfac0e83d,
0x7fc7d258, 0xfab4622d, 0x7fc6c6f0, 0xfaa7dc52,
0x7fc5b913, 0xfa9b56ab, 0x7fc4a8c1, 0xfa8ed139,
0x7fc395f9, 0xfa824bfd, 0x7fc280bc, 0xfa75c6f8,
0x7fc1690a, 0xfa694229, 0x7fc04ee3, 0xfa5cbd91,
0x7fbf3246, 0xfa503930, 0x7fbe1334, 0xfa43b508,
0x7fbcf1ad, 0xfa373119, 0x7fbbcdb1, 0xfa2aad62,
0x7fbaa740, 0xfa1e29e5, 0x7fb97e5a, 0xfa11a6a3,
0x7fb852ff, 0xfa05239a, 0x7fb7252f, 0xf9f8a0cd,
0x7fb5f4ea, 0xf9ec1e3b, 0x7fb4c231, 0xf9df9be6,
0x7fb38d02, 0xf9d319cc, 0x7fb2555f, 0xf9c697f0,
0x7fb11b48, 0xf9ba1651, 0x7fafdebb, 0xf9ad94f0,
0x7fae9fbb, 0xf9a113cd, 0x7fad5e45, 0xf99492ea,
0x7fac1a5b, 0xf9881245, 0x7faad3fd, 0xf97b91e1,
0x7fa98b2a, 0xf96f11bc, 0x7fa83fe3, 0xf96291d9,
0x7fa6f228, 0xf9561237, 0x7fa5a1f9, 0xf94992d7,
0x7fa44f55, 0xf93d13b8, 0x7fa2fa3d, 0xf93094dd,
0x7fa1a2b2, 0xf9241645, 0x7fa048b2, 0xf91797f0,
0x7f9eec3e, 0xf90b19e0, 0x7f9d8d56, 0xf8fe9c15,
0x7f9c2bfb, 0xf8f21e8e, 0x7f9ac82c, 0xf8e5a14d,
0x7f9961e8, 0xf8d92452, 0x7f97f932, 0xf8cca79e,
0x7f968e07, 0xf8c02b31, 0x7f952069, 0xf8b3af0c,
0x7f93b058, 0xf8a7332e, 0x7f923dd2, 0xf89ab799,
0x7f90c8da, 0xf88e3c4d, 0x7f8f516e, 0xf881c14b,
0x7f8dd78f, 0xf8754692, 0x7f8c5b3d, 0xf868cc24,
0x7f8adc77, 0xf85c5201, 0x7f895b3e, 0xf84fd829,
0x7f87d792, 0xf8435e9d, 0x7f865174, 0xf836e55d,
0x7f84c8e2, 0xf82a6c6a, 0x7f833ddd, 0xf81df3c5,
0x7f81b065, 0xf8117b6d, 0x7f80207b, 0xf8050364,
0x7f7e8e1e, 0xf7f88ba9, 0x7f7cf94e, 0xf7ec143e,
0x7f7b620c, 0xf7df9d22, 0x7f79c857, 0xf7d32657,
0x7f782c30, 0xf7c6afdc, 0x7f768d96, 0xf7ba39b3,
0x7f74ec8a, 0xf7adc3db, 0x7f73490b, 0xf7a14e55,
0x7f71a31b, 0xf794d922, 0x7f6ffab8, 0xf7886442,
0x7f6e4fe3, 0xf77befb5, 0x7f6ca29c, 0xf76f7b7d,
0x7f6af2e3, 0xf7630799, 0x7f6940b8, 0xf756940a,
0x7f678c1c, 0xf74a20d0, 0x7f65d50d, 0xf73daded,
0x7f641b8d, 0xf7313b60, 0x7f625f9b, 0xf724c92a,
0x7f60a138, 0xf718574b, 0x7f5ee063, 0xf70be5c4,
0x7f5d1d1d, 0xf6ff7496, 0x7f5b5765, 0xf6f303c0,
0x7f598f3c, 0xf6e69344, 0x7f57c4a2, 0xf6da2321,
0x7f55f796, 0xf6cdb359, 0x7f54281a, 0xf6c143ec,
0x7f52562c, 0xf6b4d4d9, 0x7f5081cd, 0xf6a86623,
0x7f4eaafe, 0xf69bf7c9, 0x7f4cd1be, 0xf68f89cb,
0x7f4af60d, 0xf6831c2b, 0x7f4917eb, 0xf676aee8,
0x7f473759, 0xf66a4203, 0x7f455456, 0xf65dd57d,
0x7f436ee3, 0xf6516956, 0x7f4186ff, 0xf644fd8f,
0x7f3f9cab, 0xf6389228, 0x7f3dafe7, 0xf62c2721,
0x7f3bc0b3, 0xf61fbc7b, 0x7f39cf0e, 0xf6135237,
0x7f37dafa, 0xf606e854, 0x7f35e476, 0xf5fa7ed4,
0x7f33eb81, 0xf5ee15b7, 0x7f31f01d, 0xf5e1acfd,
0x7f2ff24a, 0xf5d544a7, 0x7f2df206, 0xf5c8dcb6,
0x7f2bef53, 0xf5bc7529, 0x7f29ea31, 0xf5b00e02,
0x7f27e29f, 0xf5a3a740, 0x7f25d89e, 0xf59740e5,
0x7f23cc2e, 0xf58adaf0, 0x7f21bd4e, 0xf57e7563,
0x7f1fabff, 0xf572103d, 0x7f1d9842, 0xf565ab80,
0x7f1b8215, 0xf559472b, 0x7f19697a, 0xf54ce33f,
0x7f174e70, 0xf5407fbd, 0x7f1530f7, 0xf5341ca5,
0x7f13110f, 0xf527b9f7, 0x7f10eeb9, 0xf51b57b5,
0x7f0ec9f5, 0xf50ef5de, 0x7f0ca2c2, 0xf5029473,
0x7f0a7921, 0xf4f63374, 0x7f084d12, 0xf4e9d2e3,
0x7f061e95, 0xf4dd72be, 0x7f03eda9, 0xf4d11308,
0x7f01ba50, 0xf4c4b3c0, 0x7eff8489, 0xf4b854e7,
0x7efd4c54, 0xf4abf67e, 0x7efb11b1, 0xf49f9884,
0x7ef8d4a1, 0xf4933afa, 0x7ef69523, 0xf486dde1,
0x7ef45338, 0xf47a8139, 0x7ef20ee0, 0xf46e2504,
0x7eefc81a, 0xf461c940, 0x7eed7ee7, 0xf4556def,
0x7eeb3347, 0xf4491311, 0x7ee8e53a, 0xf43cb8a7,
0x7ee694c1, 0xf4305eb0, 0x7ee441da, 0xf424052f,
0x7ee1ec87, 0xf417ac22, 0x7edf94c7, 0xf40b538b,
0x7edd3a9a, 0xf3fefb6a, 0x7edade01, 0xf3f2a3bf,
0x7ed87efc, 0xf3e64c8c, 0x7ed61d8a, 0xf3d9f5cf,
0x7ed3b9ad, 0xf3cd9f8b, 0x7ed15363, 0xf3c149bf,
0x7eceeaad, 0xf3b4f46c, 0x7ecc7f8b, 0xf3a89f92,
0x7eca11fe, 0xf39c4b32, 0x7ec7a205, 0xf38ff74d,
0x7ec52fa0, 0xf383a3e2, 0x7ec2bad0, 0xf37750f2,
0x7ec04394, 0xf36afe7e, 0x7ebdc9ed, 0xf35eac86,
0x7ebb4ddb, 0xf3525b0b, 0x7eb8cf5d, 0xf3460a0d,
0x7eb64e75, 0xf339b98d, 0x7eb3cb21, 0xf32d698a,
0x7eb14563, 0xf3211a07, 0x7eaebd3a, 0xf314cb02,
0x7eac32a6, 0xf3087c7d, 0x7ea9a5a8, 0xf2fc2e77,
0x7ea7163f, 0xf2efe0f2, 0x7ea4846c, 0xf2e393ef,
0x7ea1f02f, 0xf2d7476c, 0x7e9f5988, 0xf2cafb6b,
0x7e9cc076, 0xf2beafed, 0x7e9a24fb, 0xf2b264f2,
0x7e978715, 0xf2a61a7a, 0x7e94e6c6, 0xf299d085,
0x7e92440d, 0xf28d8715, 0x7e8f9eeb, 0xf2813e2a,
0x7e8cf75f, 0xf274f5c3, 0x7e8a4d6a, 0xf268ade3,
0x7e87a10c, 0xf25c6688, 0x7e84f245, 0xf2501fb5,
0x7e824114, 0xf243d968, 0x7e7f8d7b, 0xf23793a3,
0x7e7cd778, 0xf22b4e66, 0x7e7a1f0d, 0xf21f09b1,
0x7e77643a, 0xf212c585, 0x7e74a6fd, 0xf20681e3,
0x7e71e759, 0xf1fa3ecb, 0x7e6f254c, 0xf1edfc3d,
0x7e6c60d7, 0xf1e1ba3a, 0x7e6999fa, 0xf1d578c2,
0x7e66d0b4, 0xf1c937d6, 0x7e640507, 0xf1bcf777,
0x7e6136f3, 0xf1b0b7a4, 0x7e5e6676, 0xf1a4785e,
0x7e5b9392, 0xf19839a6, 0x7e58be47, 0xf18bfb7d,
0x7e55e694, 0xf17fbde2, 0x7e530c7a, 0xf17380d6,
0x7e502ff9, 0xf1674459, 0x7e4d5110, 0xf15b086d,
0x7e4a6fc1, 0xf14ecd11, 0x7e478c0b, 0xf1429247,
0x7e44a5ef, 0xf136580d, 0x7e41bd6c, 0xf12a1e66,
0x7e3ed282, 0xf11de551, 0x7e3be532, 0xf111accf,
0x7e38f57c, 0xf10574e0, 0x7e360360, 0xf0f93d86,
0x7e330ede, 0xf0ed06bf, 0x7e3017f6, 0xf0e0d08d,
0x7e2d1ea8, 0xf0d49af1, 0x7e2a22f4, 0xf0c865ea,
0x7e2724db, 0xf0bc317a, 0x7e24245d, 0xf0affda0,
0x7e212179, 0xf0a3ca5d, 0x7e1e1c30, 0xf09797b2,
0x7e1b1482, 0xf08b659f, 0x7e180a6f, 0xf07f3424,
0x7e14fdf7, 0xf0730342, 0x7e11ef1b, 0xf066d2fa,
0x7e0eddd9, 0xf05aa34c, 0x7e0bca34, 0xf04e7438,
0x7e08b42a, 0xf04245c0, 0x7e059bbb, 0xf03617e2,
0x7e0280e9, 0xf029eaa1, 0x7dff63b2, 0xf01dbdfb,
0x7dfc4418, 0xf01191f3, 0x7df9221a, 0xf0056687,
0x7df5fdb8, 0xeff93bba, 0x7df2d6f3, 0xefed118a,
0x7defadca, 0xefe0e7f9, 0x7dec823e, 0xefd4bf08,
0x7de9544f, 0xefc896b5, 0x7de623fd, 0xefbc6f03,
0x7de2f148, 0xefb047f2, 0x7ddfbc30, 0xefa42181,
0x7ddc84b5, 0xef97fbb2, 0x7dd94ad8, 0xef8bd685,
0x7dd60e99, 0xef7fb1fa, 0x7dd2cff7, 0xef738e12,
0x7dcf8ef3, 0xef676ace, 0x7dcc4b8d, 0xef5b482d,
0x7dc905c5, 0xef4f2630, 0x7dc5bd9b, 0xef4304d8,
0x7dc2730f, 0xef36e426, 0x7dbf2622, 0xef2ac419,
0x7dbbd6d4, 0xef1ea4b2, 0x7db88524, 0xef1285f2,
0x7db53113, 0xef0667d9, 0x7db1daa2, 0xeefa4a67,
0x7dae81cf, 0xeeee2d9d, 0x7dab269b, 0xeee2117c,
0x7da7c907, 0xeed5f604, 0x7da46912, 0xeec9db35,
0x7da106bd, 0xeebdc110, 0x7d9da208, 0xeeb1a796,
0x7d9a3af2, 0xeea58ec6, 0x7d96d17d, 0xee9976a1,
0x7d9365a8, 0xee8d5f29, 0x7d8ff772, 0xee81485c,
0x7d8c86de, 0xee75323c, 0x7d8913ea, 0xee691cc9,
0x7d859e96, 0xee5d0804, 0x7d8226e4, 0xee50f3ed,
0x7d7eacd2, 0xee44e084, 0x7d7b3061, 0xee38cdcb,
0x7d77b192, 0xee2cbbc1, 0x7d743064, 0xee20aa67,
0x7d70acd7, 0xee1499bd, 0x7d6d26ec, 0xee0889c4,
0x7d699ea3, 0xedfc7a7c, 0x7d6613fb, 0xedf06be6,
0x7d6286f6, 0xede45e03, 0x7d5ef793, 0xedd850d2,
0x7d5b65d2, 0xedcc4454, 0x7d57d1b3, 0xedc0388a,
0x7d543b37, 0xedb42d74, 0x7d50a25e, 0xeda82313,
0x7d4d0728, 0xed9c1967, 0x7d496994, 0xed901070,
0x7d45c9a4, 0xed84082f, 0x7d422757, 0xed7800a5,
0x7d3e82ae, 0xed6bf9d1, 0x7d3adba7, 0xed5ff3b5,
0x7d373245, 0xed53ee51, 0x7d338687, 0xed47e9a5,
0x7d2fd86c, 0xed3be5b1, 0x7d2c27f6, 0xed2fe277,
0x7d287523, 0xed23dff7, 0x7d24bff6, 0xed17de31,
0x7d21086c, 0xed0bdd25, 0x7d1d4e88, 0xecffdcd4,
0x7d199248, 0xecf3dd3f, 0x7d15d3ad, 0xece7de66,
0x7d1212b7, 0xecdbe04a, 0x7d0e4f67, 0xeccfe2ea,
0x7d0a89bc, 0xecc3e648, 0x7d06c1b6, 0xecb7ea63,
0x7d02f757, 0xecabef3d, 0x7cff2a9d, 0xec9ff4d6,
0x7cfb5b89, 0xec93fb2e, 0x7cf78a1b, 0xec880245,
0x7cf3b653, 0xec7c0a1d, 0x7cefe032, 0xec7012b5,
0x7cec07b8, 0xec641c0e, 0x7ce82ce4, 0xec582629,
0x7ce44fb7, 0xec4c3106, 0x7ce07031, 0xec403ca5,
0x7cdc8e52, 0xec344908, 0x7cd8aa1b, 0xec28562d,
0x7cd4c38b, 0xec1c6417, 0x7cd0daa2, 0xec1072c4,
0x7cccef62, 0xec048237, 0x7cc901c9, 0xebf8926f,
0x7cc511d9, 0xebeca36c, 0x7cc11f90, 0xebe0b52f,
0x7cbd2af0, 0xebd4c7ba, 0x7cb933f9, 0xebc8db0b,
0x7cb53aaa, 0xebbcef23, 0x7cb13f04, 0xebb10404,
0x7cad4107, 0xeba519ad, 0x7ca940b3, 0xeb99301f,
0x7ca53e09, 0xeb8d475b, 0x7ca13908, 0xeb815f60,
0x7c9d31b0, 0xeb75782f, 0x7c992803, 0xeb6991ca,
0x7c951bff, 0xeb5dac2f, 0x7c910da5, 0xeb51c760,
0x7c8cfcf6, 0xeb45e35d, 0x7c88e9f1, 0xeb3a0027,
0x7c84d496, 0xeb2e1dbe, 0x7c80bce7, 0xeb223c22,
0x7c7ca2e2, 0xeb165b54, 0x7c788688, 0xeb0a7b54,
0x7c7467d9, 0xeafe9c24, 0x7c7046d6, 0xeaf2bdc3,
0x7c6c237e, 0xeae6e031, 0x7c67fdd1, 0xeadb0370,
0x7c63d5d1, 0xeacf277f, 0x7c5fab7c, 0xeac34c60,
0x7c5b7ed4, 0xeab77212, 0x7c574fd8, 0xeaab9896,
0x7c531e88, 0xea9fbfed, 0x7c4eeae5, 0xea93e817,
0x7c4ab4ef, 0xea881114, 0x7c467ca6, 0xea7c3ae5,
0x7c42420a, 0xea70658a, 0x7c3e051b, 0xea649105,
0x7c39c5da, 0xea58bd54, 0x7c358446, 0xea4cea79,
0x7c314060, 0xea411874, 0x7c2cfa28, 0xea354746,
0x7c28b19e, 0xea2976ef, 0x7c2466c2, 0xea1da770,
0x7c201994, 0xea11d8c8, 0x7c1bca16, 0xea060af9,
0x7c177845, 0xe9fa3e03, 0x7c132424, 0xe9ee71e6,
0x7c0ecdb2, 0xe9e2a6a3, 0x7c0a74f0, 0xe9d6dc3b,
0x7c0619dc, 0xe9cb12ad, 0x7c01bc78, 0xe9bf49fa,
0x7bfd5cc4, 0xe9b38223, 0x7bf8fac0, 0xe9a7bb28,
0x7bf4966c, 0xe99bf509, 0x7bf02fc9, 0xe9902fc7,
0x7bebc6d5, 0xe9846b63, 0x7be75b93, 0xe978a7dd,
0x7be2ee01, 0xe96ce535, 0x7bde7e20, 0xe961236c,
0x7bda0bf0, 0xe9556282, 0x7bd59771, 0xe949a278,
0x7bd120a4, 0xe93de34e, 0x7bcca789, 0xe9322505,
0x7bc82c1f, 0xe926679c, 0x7bc3ae67, 0xe91aab16,
0x7bbf2e62, 0xe90eef71, 0x7bbaac0e, 0xe90334af,
0x7bb6276e, 0xe8f77acf, 0x7bb1a080, 0xe8ebc1d3,
0x7bad1744, 0xe8e009ba, 0x7ba88bbc, 0xe8d45286,
0x7ba3fde7, 0xe8c89c37, 0x7b9f6dc5, 0xe8bce6cd,
0x7b9adb57, 0xe8b13248, 0x7b96469d, 0xe8a57ea9,
0x7b91af97, 0xe899cbf1, 0x7b8d1644, 0xe88e1a20,
0x7b887aa6, 0xe8826936, 0x7b83dcbc, 0xe876b934,
0x7b7f3c87, 0xe86b0a1a, 0x7b7a9a07, 0xe85f5be9,
0x7b75f53c, 0xe853aea1, 0x7b714e25, 0xe8480243,
0x7b6ca4c4, 0xe83c56cf, 0x7b67f919, 0xe830ac45,
0x7b634b23, 0xe82502a7, 0x7b5e9ae4, 0xe81959f4,
0x7b59e85a, 0xe80db22d, 0x7b553386, 0xe8020b52,
0x7b507c69, 0xe7f66564, 0x7b4bc303, 0xe7eac063,
0x7b470753, 0xe7df1c50, 0x7b42495a, 0xe7d3792b,
0x7b3d8918, 0xe7c7d6f4, 0x7b38c68e, 0xe7bc35ad,
0x7b3401bb, 0xe7b09555, 0x7b2f3aa0, 0xe7a4f5ed,
0x7b2a713d, 0xe7995776, 0x7b25a591, 0xe78db9ef,
0x7b20d79e, 0xe7821d59, 0x7b1c0764, 0xe77681b6,
0x7b1734e2, 0xe76ae704, 0x7b126019, 0xe75f4d45,
0x7b0d8909, 0xe753b479, 0x7b08afb2, 0xe7481ca1,
0x7b03d414, 0xe73c85bc, 0x7afef630, 0xe730efcc,
0x7afa1605, 0xe7255ad1, 0x7af53395, 0xe719c6cb,
0x7af04edf, 0xe70e33bb, 0x7aeb67e3, 0xe702a1a1,
0x7ae67ea1, 0xe6f7107e, 0x7ae1931a, 0xe6eb8052,
0x7adca54e, 0xe6dff11d, 0x7ad7b53d, 0xe6d462e1,
0x7ad2c2e8, 0xe6c8d59c, 0x7acdce4d, 0xe6bd4951,
0x7ac8d76f, 0xe6b1bdff, 0x7ac3de4c, 0xe6a633a6,
0x7abee2e5, 0xe69aaa48, 0x7ab9e53a, 0xe68f21e5,
0x7ab4e54c, 0xe6839a7c, 0x7aafe31b, 0xe6781410,
0x7aaadea6, 0xe66c8e9f, 0x7aa5d7ee, 0xe6610a2a,
0x7aa0cef3, 0xe65586b3, 0x7a9bc3b6, 0xe64a0438,
0x7a96b636, 0xe63e82bc, 0x7a91a674, 0xe633023e,
0x7a8c9470, 0xe62782be, 0x7a87802a, 0xe61c043d,
0x7a8269a3, 0xe61086bc, 0x7a7d50da, 0xe6050a3b,
0x7a7835cf, 0xe5f98ebb, 0x7a731884, 0xe5ee143b,
0x7a6df8f8, 0xe5e29abc, 0x7a68d72b, 0xe5d72240,
0x7a63b31d, 0xe5cbaac5, 0x7a5e8cd0, 0xe5c0344d,
0x7a596442, 0xe5b4bed8, 0x7a543974, 0xe5a94a67,
0x7a4f0c67, 0xe59dd6f9, 0x7a49dd1a, 0xe5926490,
0x7a44ab8e, 0xe586f32c, 0x7a3f77c3, 0xe57b82cd,
0x7a3a41b9, 0xe5701374, 0x7a350970, 0xe564a521,
0x7a2fcee8, 0xe55937d5, 0x7a2a9223, 0xe54dcb8f,
0x7a25531f, 0xe5426051, 0x7a2011de, 0xe536f61b,
0x7a1ace5f, 0xe52b8cee, 0x7a1588a2, 0xe52024c9,
0x7a1040a8, 0xe514bdad, 0x7a0af671, 0xe509579b,
0x7a05a9fd, 0xe4fdf294, 0x7a005b4d, 0xe4f28e96,
0x79fb0a60, 0xe4e72ba4, 0x79f5b737, 0xe4dbc9bd,
0x79f061d2, 0xe4d068e2, 0x79eb0a31, 0xe4c50914,
0x79e5b054, 0xe4b9aa52, 0x79e0543c, 0xe4ae4c9d,
0x79daf5e8, 0xe4a2eff6, 0x79d5955a, 0xe497945d,
0x79d03291, 0xe48c39d3, 0x79cacd8d, 0xe480e057,
0x79c5664f, 0xe47587eb, 0x79bffcd7, 0xe46a308f,
0x79ba9125, 0xe45eda43, 0x79b52339, 0xe4538507,
0x79afb313, 0xe44830dd, 0x79aa40b4, 0xe43cddc4,
0x79a4cc1c, 0xe4318bbe, 0x799f554b, 0xe4263ac9,
0x7999dc42, 0xe41aeae8, 0x799460ff, 0xe40f9c1a,
0x798ee385, 0xe4044e60, 0x798963d2, 0xe3f901ba,
0x7983e1e8, 0xe3edb628, 0x797e5dc6, 0xe3e26bac,
0x7978d76c, 0xe3d72245, 0x79734edc, 0xe3cbd9f4,
0x796dc414, 0xe3c092b9, 0x79683715, 0xe3b54c95,
0x7962a7e0, 0xe3aa0788, 0x795d1675, 0xe39ec393,
0x795782d3, 0xe39380b6, 0x7951ecfc, 0xe3883ef2,
0x794c54ee, 0xe37cfe47, 0x7946baac, 0xe371beb5,
0x79411e33, 0xe366803c, 0x793b7f86, 0xe35b42df,
0x7935dea4, 0xe350069b, 0x79303b8e, 0xe344cb73,
0x792a9642, 0xe3399167, 0x7924eec3, 0xe32e5876,
0x791f4510, 0xe32320a2, 0x79199929, 0xe317e9eb,
0x7913eb0e, 0xe30cb451, 0x790e3ac0, 0xe3017fd5,
0x7908883f, 0xe2f64c77, 0x7902d38b, 0xe2eb1a37,
0x78fd1ca4, 0xe2dfe917, 0x78f7638b, 0xe2d4b916,
0x78f1a840, 0xe2c98a35, 0x78ebeac2, 0xe2be5c74,
0x78e62b13, 0xe2b32fd4, 0x78e06932, 0xe2a80456,
0x78daa520, 0xe29cd9f8, 0x78d4dedd, 0xe291b0bd,
0x78cf1669, 0xe28688a4, 0x78c94bc4, 0xe27b61af,
0x78c37eef, 0xe2703bdc, 0x78bdafea, 0xe265172e,
0x78b7deb4, 0xe259f3a3, 0x78b20b4f, 0xe24ed13d,
0x78ac35ba, 0xe243affc, 0x78a65df6, 0xe2388fe1,
0x78a08402, 0xe22d70eb, 0x789aa7e0, 0xe222531c,
0x7894c98f, 0xe2173674, 0x788ee910, 0xe20c1af3,
0x78890663, 0xe2010099, 0x78832187, 0xe1f5e768,
0x787d3a7e, 0xe1eacf5f, 0x78775147, 0xe1dfb87f,
0x787165e3, 0xe1d4a2c8, 0x786b7852, 0xe1c98e3b,
0x78658894, 0xe1be7ad8, 0x785f96a9, 0xe1b368a0,
0x7859a292, 0xe1a85793, 0x7853ac4f, 0xe19d47b1,
0x784db3e0, 0xe19238fb, 0x7847b946, 0xe1872b72,
0x7841bc7f, 0xe17c1f15, 0x783bbd8e, 0xe17113e5,
0x7835bc71, 0xe16609e3, 0x782fb92a, 0xe15b0110,
0x7829b3b9, 0xe14ff96a, 0x7823ac1d, 0xe144f2f3,
0x781da256, 0xe139edac, 0x78179666, 0xe12ee995,
0x7811884d, 0xe123e6ad, 0x780b780a, 0xe118e4f6,
0x7805659e, 0xe10de470, 0x77ff5109, 0xe102e51c,
0x77f93a4b, 0xe0f7e6f9, 0x77f32165, 0xe0ecea09,
0x77ed0657, 0xe0e1ee4b, 0x77e6e921, 0xe0d6f3c1,
0x77e0c9c3, 0xe0cbfa6a, 0x77daa83d, 0xe0c10247,
0x77d48490, 0xe0b60b58, 0x77ce5ebd, 0xe0ab159e,
0x77c836c2, 0xe0a0211a, 0x77c20ca1, 0xe0952dcb,
0x77bbe05a, 0xe08a3bb2, 0x77b5b1ec, 0xe07f4acf,
0x77af8159, 0xe0745b24, 0x77a94ea0, 0xe0696cb0,
0x77a319c2, 0xe05e7f74, 0x779ce2be, 0xe053936f,
0x7796a996, 0xe048a8a4, 0x77906e49, 0xe03dbf11,
0x778a30d8, 0xe032d6b8, 0x7783f143, 0xe027ef99,
0x777daf89, 0xe01d09b4, 0x77776bac, 0xe012250a,
0x777125ac, 0xe007419b, 0x776add88, 0xdffc5f67,
0x77649341, 0xdff17e70, 0x775e46d8, 0xdfe69eb4,
0x7757f84c, 0xdfdbc036, 0x7751a79e, 0xdfd0e2f5,
0x774b54ce, 0xdfc606f1, 0x7744ffdd, 0xdfbb2c2c,
0x773ea8ca, 0xdfb052a5, 0x77384f95, 0xdfa57a5d,
0x7731f440, 0xdf9aa354, 0x772b96ca, 0xdf8fcd8b,
0x77253733, 0xdf84f902, 0x771ed57c, 0xdf7a25ba,
0x771871a5, 0xdf6f53b3, 0x77120bae, 0xdf6482ed,
0x770ba398, 0xdf59b369, 0x77053962, 0xdf4ee527,
0x76fecd0e, 0xdf441828, 0x76f85e9a, 0xdf394c6b,
0x76f1ee09, 0xdf2e81f3, 0x76eb7b58, 0xdf23b8be,
0x76e5068a, 0xdf18f0ce, 0x76de8f9e, 0xdf0e2a22,
0x76d81695, 0xdf0364bc, 0x76d19b6e, 0xdef8a09b,
0x76cb1e2a, 0xdeedddc0, 0x76c49ec9, 0xdee31c2b,
0x76be1d4c, 0xded85bdd, 0x76b799b3, 0xdecd9cd7,
0x76b113fd, 0xdec2df18, 0x76aa8c2c, 0xdeb822a1,
0x76a4023f, 0xdead6773, 0x769d7637, 0xdea2ad8d,
0x7696e814, 0xde97f4f1, 0x769057d6, 0xde8d3d9e,
0x7689c57d, 0xde828796, 0x7683310b, 0xde77d2d8,
0x767c9a7e, 0xde6d1f65, 0x767601d7, 0xde626d3e,
0x766f6717, 0xde57bc62, 0x7668ca3e, 0xde4d0cd2,
0x76622b4c, 0xde425e8f, 0x765b8a41, 0xde37b199,
0x7654e71d, 0xde2d05f1, 0x764e41e2, 0xde225b96,
0x76479a8e, 0xde17b28a, 0x7640f123, 0xde0d0acc,
0x763a45a0, 0xde02645d, 0x76339806, 0xddf7bf3e,
0x762ce855, 0xdded1b6e, 0x7626368d, 0xdde278ef,
0x761f82af, 0xddd7d7c1, 0x7618ccba, 0xddcd37e4,
0x761214b0, 0xddc29958, 0x760b5a90, 0xddb7fc1e,
0x76049e5b, 0xddad6036, 0x75fde011, 0xdda2c5a2,
0x75f71fb1, 0xdd982c60, 0x75f05d3d, 0xdd8d9472,
0x75e998b5, 0xdd82fdd8, 0x75e2d219, 0xdd786892,
0x75dc0968, 0xdd6dd4a2, 0x75d53ea5, 0xdd634206,
0x75ce71ce, 0xdd58b0c0, 0x75c7a2e3, 0xdd4e20d0,
0x75c0d1e7, 0xdd439236, 0x75b9fed7, 0xdd3904f4,
0x75b329b5, 0xdd2e7908, 0x75ac5282, 0xdd23ee74,
0x75a5793c, 0xdd196538, 0x759e9de5, 0xdd0edd55,
0x7597c07d, 0xdd0456ca, 0x7590e104, 0xdcf9d199,
0x7589ff7a, 0xdcef4dc2, 0x75831be0, 0xdce4cb44,
0x757c3636, 0xdcda4a21, 0x75754e7c, 0xdccfca59,
0x756e64b2, 0xdcc54bec, 0x756778d9, 0xdcbacedb,
0x75608af1, 0xdcb05326, 0x75599afa, 0xdca5d8cd,
0x7552a8f4, 0xdc9b5fd2, 0x754bb4e1, 0xdc90e834,
0x7544bebf, 0xdc8671f3, 0x753dc68f, 0xdc7bfd11,
0x7536cc52, 0xdc71898d, 0x752fd008, 0xdc671768,
0x7528d1b1, 0xdc5ca6a2, 0x7521d14d, 0xdc52373c,
0x751acedd, 0xdc47c936, 0x7513ca60, 0xdc3d5c91,
0x750cc3d8, 0xdc32f14d, 0x7505bb44, 0xdc28876a,
0x74feb0a5, 0xdc1e1ee9, 0x74f7a3fb, 0xdc13b7c9,
0x74f09546, 0xdc09520d, 0x74e98487, 0xdbfeedb3,
0x74e271bd, 0xdbf48abd, 0x74db5cea, 0xdbea292b,
0x74d4460c, 0xdbdfc8fc, 0x74cd2d26, 0xdbd56a32,
0x74c61236, 0xdbcb0cce, 0x74bef53d, 0xdbc0b0ce,
0x74b7d63c, 0xdbb65634, 0x74b0b533, 0xdbabfd01,
0x74a99221, 0xdba1a534, 0x74a26d08, 0xdb974ece,
0x749b45e7, 0xdb8cf9cf, 0x74941cbf, 0xdb82a638,
0x748cf190, 0xdb785409, 0x7485c45b, 0xdb6e0342,
0x747e951f, 0xdb63b3e5, 0x747763dd, 0xdb5965f1,
0x74703095, 0xdb4f1967, 0x7468fb47, 0xdb44ce46,
0x7461c3f5, 0xdb3a8491, 0x745a8a9d, 0xdb303c46,
0x74534f41, 0xdb25f566, 0x744c11e0, 0xdb1baff2,
0x7444d27b, 0xdb116beb, 0x743d9112, 0xdb072950,
0x74364da6, 0xdafce821, 0x742f0836, 0xdaf2a860,
0x7427c0c3, 0xdae86a0d, 0x7420774d, 0xdade2d28,
0x74192bd5, 0xdad3f1b1, 0x7411de5b, 0xdac9b7a9,
0x740a8edf, 0xdabf7f11, 0x74033d61, 0xdab547e8,
0x73fbe9e2, 0xdaab122f, 0x73f49462, 0xdaa0dde7,
0x73ed3ce1, 0xda96ab0f, 0x73e5e360, 0xda8c79a9,
0x73de87de, 0xda8249b4, 0x73d72a5d, 0xda781b31,
0x73cfcadc, 0xda6dee21, 0x73c8695b, 0xda63c284,
0x73c105db, 0xda599859, 0x73b9a05d, 0xda4f6fa3,
0x73b238e0, 0xda454860, 0x73aacf65, 0xda3b2292,
0x73a363ec, 0xda30fe38, 0x739bf675, 0xda26db54,
0x73948701, 0xda1cb9e5, 0x738d1590, 0xda1299ec,
0x7385a222, 0xda087b69, 0x737e2cb7, 0xd9fe5e5e,
0x7376b551, 0xd9f442c9, 0x736f3bee, 0xd9ea28ac,
0x7367c090, 0xd9e01006, 0x73604336, 0xd9d5f8d9,
0x7358c3e2, 0xd9cbe325, 0x73514292, 0xd9c1cee9,
0x7349bf48, 0xd9b7bc27, 0x73423a04, 0xd9adaadf,
0x733ab2c6, 0xd9a39b11, 0x7333298f, 0xd9998cbe,
0x732b9e5e, 0xd98f7fe6, 0x73241134, 0xd9857489,
0x731c8211, 0xd97b6aa8, 0x7314f0f6, 0xd9716243,
0x730d5de3, 0xd9675b5a, 0x7305c8d7, 0xd95d55ef,
0x72fe31d5, 0xd9535201, 0x72f698db, 0xd9494f90,
0x72eefdea, 0xd93f4e9e, 0x72e76102, 0xd9354f2a,
0x72dfc224, 0xd92b5135, 0x72d82150, 0xd92154bf,
0x72d07e85, 0xd91759c9, 0x72c8d9c6, 0xd90d6053,
0x72c13311, 0xd903685d, 0x72b98a67, 0xd8f971e8,
0x72b1dfc9, 0xd8ef7cf4, 0x72aa3336, 0xd8e58982,
0x72a284b0, 0xd8db9792, 0x729ad435, 0xd8d1a724,
0x729321c7, 0xd8c7b838, 0x728b6d66, 0xd8bdcad0,
0x7283b712, 0xd8b3deeb, 0x727bfecc, 0xd8a9f48a,
0x72744493, 0xd8a00bae, 0x726c8868, 0xd8962456,
0x7264ca4c, 0xd88c3e83, 0x725d0a3e, 0xd8825a35,
0x72554840, 0xd878776d, 0x724d8450, 0xd86e962b,
0x7245be70, 0xd864b670, 0x723df6a0, 0xd85ad83c,
0x72362ce0, 0xd850fb8e, 0x722e6130, 0xd8472069,
0x72269391, 0xd83d46cc, 0x721ec403, 0xd8336eb7,
0x7216f287, 0xd829982b, 0x720f1f1c, 0xd81fc328,
0x720749c3, 0xd815efae, 0x71ff727c, 0xd80c1dbf,
0x71f79948, 0xd8024d59, 0x71efbe27, 0xd7f87e7f,
0x71e7e118, 0xd7eeb130, 0x71e0021e, 0xd7e4e56c,
0x71d82137, 0xd7db1b34, 0x71d03e64, 0xd7d15288,
0x71c859a5, 0xd7c78b68, 0x71c072fb, 0xd7bdc5d6,
0x71b88a66, 0xd7b401d1, 0x71b09fe7, 0xd7aa3f5a,
0x71a8b37c, 0xd7a07e70, 0x71a0c528, 0xd796bf16,
0x7198d4ea, 0xd78d014a, 0x7190e2c3, 0xd783450d,
0x7188eeb2, 0xd7798a60, 0x7180f8b8, 0xd76fd143,
0x717900d6, 0xd76619b6, 0x7171070c, 0xd75c63ba,
0x71690b59, 0xd752af4f, 0x71610dbf, 0xd748fc75,
0x71590e3e, 0xd73f4b2e, 0x71510cd5, 0xd7359b78,
0x71490986, 0xd72bed55, 0x71410450, 0xd72240c5,
0x7138fd35, 0xd71895c9, 0x7130f433, 0xd70eec60,
0x7128e94c, 0xd705448b, 0x7120dc80, 0xd6fb9e4b,
0x7118cdcf, 0xd6f1f99f, 0x7110bd39, 0xd6e85689,
0x7108aabf, 0xd6deb508, 0x71009661, 0xd6d5151d,
0x70f8801f, 0xd6cb76c9, 0x70f067fb, 0xd6c1da0b,
0x70e84df3, 0xd6b83ee4, 0x70e03208, 0xd6aea555,
0x70d8143b, 0xd6a50d5d, 0x70cff48c, 0xd69b76fe,
0x70c7d2fb, 0xd691e237, 0x70bfaf89, 0xd6884f09,
0x70b78a36, 0xd67ebd74, 0x70af6302, 0xd6752d79,
0x70a739ed, 0xd66b9f18, 0x709f0ef8, 0xd6621251,
0x7096e223, 0xd6588725, 0x708eb36f, 0xd64efd94,
0x708682dc, 0xd645759f, 0x707e5069, 0xd63bef46,
0x70761c18, 0xd6326a88, 0x706de5e9, 0xd628e767,
0x7065addb, 0xd61f65e4, 0x705d73f0, 0xd615e5fd,
0x70553828, 0xd60c67b4, 0x704cfa83, 0xd602eb0a,
0x7044bb00, 0xd5f96ffd, 0x703c79a2, 0xd5eff690,
0x70343667, 0xd5e67ec1, 0x702bf151, 0xd5dd0892,
0x7023aa5f, 0xd5d39403, 0x701b6193, 0xd5ca2115,
0x701316eb, 0xd5c0afc6, 0x700aca69, 0xd5b74019,
0x70027c0c, 0xd5add20d, 0x6ffa2bd6, 0xd5a465a3,
0x6ff1d9c7, 0xd59afadb, 0x6fe985de, 0xd59191b5,
0x6fe1301c, 0xd5882a32, 0x6fd8d882, 0xd57ec452,
0x6fd07f0f, 0xd5756016, 0x6fc823c5, 0xd56bfd7d,
0x6fbfc6a3, 0xd5629c89, 0x6fb767aa, 0xd5593d3a,
0x6faf06da, 0xd54fdf8f, 0x6fa6a433, 0xd5468389,
0x6f9e3fb6, 0xd53d292a, 0x6f95d963, 0xd533d070,
0x6f8d713a, 0xd52a795d, 0x6f85073c, 0xd52123f0,
0x6f7c9b69, 0xd517d02b, 0x6f742dc1, 0xd50e7e0d,
0x6f6bbe45, 0xd5052d97, 0x6f634cf5, 0xd4fbdec9,
0x6f5ad9d1, 0xd4f291a4, 0x6f5264da, 0xd4e94627,
0x6f49ee0f, 0xd4dffc54, 0x6f417573, 0xd4d6b42b,
0x6f38fb03, 0xd4cd6dab, 0x6f307ec2, 0xd4c428d6,
0x6f2800af, 0xd4bae5ab, 0x6f1f80ca, 0xd4b1a42c,
0x6f16ff14, 0xd4a86458, 0x6f0e7b8e, 0xd49f2630,
0x6f05f637, 0xd495e9b3, 0x6efd6f10, 0xd48caee4,
0x6ef4e619, 0xd48375c1, 0x6eec5b53, 0xd47a3e4b,
0x6ee3cebe, 0xd4710883, 0x6edb405a, 0xd467d469,
0x6ed2b027, 0xd45ea1fd, 0x6eca1e27, 0xd4557140,
0x6ec18a58, 0xd44c4232, 0x6eb8f4bc, 0xd44314d3,
0x6eb05d53, 0xd439e923, 0x6ea7c41e, 0xd430bf24,
0x6e9f291b, 0xd42796d5, 0x6e968c4d, 0xd41e7037,
0x6e8dedb3, 0xd4154b4a, 0x6e854d4d, 0xd40c280e,
0x6e7cab1c, 0xd4030684, 0x6e740720, 0xd3f9e6ad,
0x6e6b615a, 0xd3f0c887, 0x6e62b9ca, 0xd3e7ac15,
0x6e5a1070, 0xd3de9156, 0x6e51654c, 0xd3d5784a,
0x6e48b860, 0xd3cc60f2, 0x6e4009aa, 0xd3c34b4f,
0x6e37592c, 0xd3ba3760, 0x6e2ea6e6, 0xd3b12526,
0x6e25f2d8, 0xd3a814a2, 0x6e1d3d03, 0xd39f05d3,
0x6e148566, 0xd395f8ba, 0x6e0bcc03, 0xd38ced57,
0x6e0310d9, 0xd383e3ab, 0x6dfa53e9, 0xd37adbb6,
0x6df19534, 0xd371d579, 0x6de8d4b8, 0xd368d0f3,
0x6de01278, 0xd35fce26, 0x6dd74e73, 0xd356cd11,
0x6dce88aa, 0xd34dcdb4, 0x6dc5c11c, 0xd344d011,
0x6dbcf7cb, 0xd33bd427, 0x6db42cb6, 0xd332d9f7,
0x6dab5fdf, 0xd329e181, 0x6da29144, 0xd320eac6,
0x6d99c0e7, 0xd317f5c6, 0x6d90eec8, 0xd30f0280,
0x6d881ae8, 0xd30610f7, 0x6d7f4545, 0xd2fd2129,
0x6d766de2, 0xd2f43318, 0x6d6d94bf, 0xd2eb46c3,
0x6d64b9da, 0xd2e25c2b, 0x6d5bdd36, 0xd2d97350,
0x6d52fed2, 0xd2d08c33, 0x6d4a1eaf, 0xd2c7a6d4,
0x6d413ccd, 0xd2bec333, 0x6d38592c, 0xd2b5e151,
0x6d2f73cd, 0xd2ad012e, 0x6d268cb0, 0xd2a422ca,
0x6d1da3d5, 0xd29b4626, 0x6d14b93d, 0xd2926b41,
0x6d0bcce8, 0xd289921e, 0x6d02ded7, 0xd280babb,
0x6cf9ef09, 0xd277e518, 0x6cf0fd80, 0xd26f1138,
0x6ce80a3a, 0xd2663f19, 0x6cdf153a, 0xd25d6ebc,
0x6cd61e7f, 0xd254a021, 0x6ccd2609, 0xd24bd34a,
0x6cc42bd9, 0xd2430835, 0x6cbb2fef, 0xd23a3ee4,
0x6cb2324c, 0xd2317756, 0x6ca932ef, 0xd228b18d,
0x6ca031da, 0xd21fed88, 0x6c972f0d, 0xd2172b48,
0x6c8e2a87, 0xd20e6acc, 0x6c85244a, 0xd205ac17,
0x6c7c1c55, 0xd1fcef27, 0x6c7312a9, 0xd1f433fd,
0x6c6a0746, 0xd1eb7a9a, 0x6c60fa2d, 0xd1e2c2fd,
0x6c57eb5e, 0xd1da0d28, 0x6c4edada, 0xd1d1591a,
0x6c45c8a0, 0xd1c8a6d4, 0x6c3cb4b1, 0xd1bff656,
0x6c339f0e, 0xd1b747a0, 0x6c2a87b6, 0xd1ae9ab4,
0x6c216eaa, 0xd1a5ef90, 0x6c1853eb, 0xd19d4636,
0x6c0f3779, 0xd1949ea6, 0x6c061953, 0xd18bf8e0,
0x6bfcf97c, 0xd18354e4, 0x6bf3d7f2, 0xd17ab2b3,
0x6beab4b6, 0xd172124d, 0x6be18fc9, 0xd16973b3,
0x6bd8692b, 0xd160d6e5, 0x6bcf40dc, 0xd1583be2,
0x6bc616dd, 0xd14fa2ad, 0x6bbceb2d, 0xd1470b44,
0x6bb3bdce, 0xd13e75a8, 0x6baa8ec0, 0xd135e1d9,
0x6ba15e03, 0xd12d4fd9, 0x6b982b97, 0xd124bfa6,
0x6b8ef77d, 0xd11c3142, 0x6b85c1b5, 0xd113a4ad,
0x6b7c8a3f, 0xd10b19e7, 0x6b73511c, 0xd10290f0,
0x6b6a164d, 0xd0fa09c9, 0x6b60d9d0, 0xd0f18472,
0x6b579ba8, 0xd0e900ec, 0x6b4e5bd4, 0xd0e07f36,
0x6b451a55, 0xd0d7ff51, 0x6b3bd72a, 0xd0cf813e,
0x6b329255, 0xd0c704fd, 0x6b294bd5, 0xd0be8a8d,
0x6b2003ac, 0xd0b611f1, 0x6b16b9d9, 0xd0ad9b26,
0x6b0d6e5c, 0xd0a5262f, 0x6b042137, 0xd09cb30b,
0x6afad269, 0xd09441bb, 0x6af181f3, 0xd08bd23f,
0x6ae82fd5, 0xd0836497, 0x6adedc10, 0xd07af8c4,
0x6ad586a3, 0xd0728ec6, 0x6acc2f90, 0xd06a269d,
0x6ac2d6d6, 0xd061c04a, 0x6ab97c77, 0xd0595bcd,
0x6ab02071, 0xd050f926, 0x6aa6c2c6, 0xd0489856,
0x6a9d6377, 0xd040395d, 0x6a940283, 0xd037dc3b,
0x6a8a9fea, 0xd02f80f1, 0x6a813bae, 0xd027277e,
0x6a77d5ce, 0xd01ecfe4, 0x6a6e6e4b, 0xd0167a22,
0x6a650525, 0xd00e2639, 0x6a5b9a5d, 0xd005d42a,
0x6a522df3, 0xcffd83f4, 0x6a48bfe7, 0xcff53597,
0x6a3f503a, 0xcfece915, 0x6a35deeb, 0xcfe49e6d,
0x6a2c6bfd, 0xcfdc55a1, 0x6a22f76e, 0xcfd40eaf,
0x6a19813f, 0xcfcbc999, 0x6a100970, 0xcfc3865e,
0x6a069003, 0xcfbb4500, 0x69fd14f6, 0xcfb3057d,
0x69f3984c, 0xcfaac7d8, 0x69ea1a03, 0xcfa28c10,
0x69e09a1c, 0xcf9a5225, 0x69d71899, 0xcf921a17,
0x69cd9578, 0xcf89e3e8, 0x69c410ba, 0xcf81af97,
0x69ba8a61, 0xcf797d24, 0x69b1026c, 0xcf714c91,
0x69a778db, 0xcf691ddd, 0x699dedaf, 0xcf60f108,
0x699460e8, 0xcf58c613, 0x698ad287, 0xcf509cfe,
0x6981428c, 0xcf4875ca, 0x6977b0f7, 0xcf405077,
0x696e1dc9, 0xcf382d05, 0x69648902, 0xcf300b74,
0x695af2a3, 0xcf27ebc5, 0x69515aab, 0xcf1fcdf8,
0x6947c11c, 0xcf17b20d, 0x693e25f5, 0xcf0f9805,
0x69348937, 0xcf077fe1, 0x692aeae3, 0xceff699f,
0x69214af8, 0xcef75541, 0x6917a977, 0xceef42c7,
0x690e0661, 0xcee73231, 0x690461b5, 0xcedf2380,
0x68fabb75, 0xced716b4, 0x68f113a0, 0xcecf0bcd,
0x68e76a37, 0xcec702cb, 0x68ddbf3b, 0xcebefbb0,
0x68d412ab, 0xceb6f67a, 0x68ca6488, 0xceaef32b,
0x68c0b4d2, 0xcea6f1c2, 0x68b7038b, 0xce9ef241,
0x68ad50b1, 0xce96f4a7, 0x68a39c46, 0xce8ef8f4,
0x6899e64a, 0xce86ff2a, 0x68902ebd, 0xce7f0748,
0x688675a0, 0xce77114e, 0x687cbaf3, 0xce6f1d3d,
0x6872feb6, 0xce672b16, 0x686940ea, 0xce5f3ad8,
0x685f8190, 0xce574c84, 0x6855c0a6, 0xce4f6019,
0x684bfe2f, 0xce47759a, 0x68423a2a, 0xce3f8d05,
0x68387498, 0xce37a65b, 0x682ead78, 0xce2fc19c,
0x6824e4cc, 0xce27dec9, 0x681b1a94, 0xce1ffde2,
0x68114ed0, 0xce181ee8, 0x68078181, 0xce1041d9,
0x67fdb2a7, 0xce0866b8, 0x67f3e241, 0xce008d84,
0x67ea1052, 0xcdf8b63d, 0x67e03cd8, 0xcdf0e0e4,
0x67d667d5, 0xcde90d79, 0x67cc9149, 0xcde13bfd,
0x67c2b934, 0xcdd96c6f, 0x67b8df97, 0xcdd19ed0,
0x67af0472, 0xcdc9d320, 0x67a527c4, 0xcdc20960,
0x679b4990, 0xcdba4190, 0x679169d5, 0xcdb27bb0,
0x67878893, 0xcdaab7c0, 0x677da5cb, 0xcda2f5c2,
0x6773c17d, 0xcd9b35b4, 0x6769dbaa, 0xcd937798,
0x675ff452, 0xcd8bbb6d, 0x67560b76, 0xcd840134,
0x674c2115, 0xcd7c48ee, 0x67423530, 0xcd74929a,
0x673847c8, 0xcd6cde39, 0x672e58dc, 0xcd652bcb,
0x6724686e, 0xcd5d7b50, 0x671a767e, 0xcd55ccca,
0x6710830c, 0xcd4e2037, 0x67068e18, 0xcd467599,
0x66fc97a3, 0xcd3eccef, 0x66f29fad, 0xcd37263a,
0x66e8a637, 0xcd2f817b, 0x66deab41, 0xcd27deb0,
0x66d4aecb, 0xcd203ddc, 0x66cab0d6, 0xcd189efe,
0x66c0b162, 0xcd110216, 0x66b6b070, 0xcd096725,
0x66acadff, 0xcd01ce2b, 0x66a2aa11, 0xccfa3729,
0x6698a4a6, 0xccf2a21d, 0x668e9dbd, 0xcceb0f0a,
0x66849558, 0xcce37def, 0x667a8b77, 0xccdbeecc,
0x6670801a, 0xccd461a2, 0x66667342, 0xccccd671,
0x665c64ef, 0xccc54d3a, 0x66525521, 0xccbdc5fc,
0x664843d9, 0xccb640b8, 0x663e3117, 0xccaebd6e,
0x66341cdb, 0xcca73c1e, 0x662a0727, 0xcc9fbcca,
0x661feffa, 0xcc983f70, 0x6615d754, 0xcc90c412,
0x660bbd37, 0xcc894aaf, 0x6601a1a2, 0xcc81d349,
0x65f78497, 0xcc7a5dde, 0x65ed6614, 0xcc72ea70,
0x65e3461b, 0xcc6b78ff, 0x65d924ac, 0xcc64098b,
0x65cf01c8, 0xcc5c9c14, 0x65c4dd6e, 0xcc55309b,
0x65bab7a0, 0xcc4dc720, 0x65b0905d, 0xcc465fa3,
0x65a667a7, 0xcc3efa25, 0x659c3d7c, 0xcc3796a5,
0x659211df, 0xcc303524, 0x6587e4cf, 0xcc28d5a3,
0x657db64c, 0xcc217822, 0x65738657, 0xcc1a1ca0,
0x656954f1, 0xcc12c31f, 0x655f2219, 0xcc0b6b9e,
0x6554edd1, 0xcc04161e, 0x654ab818, 0xcbfcc29f,
0x654080ef, 0xcbf57121, 0x65364857, 0xcbee21a5,
0x652c0e4f, 0xcbe6d42b, 0x6521d2d8, 0xcbdf88b3,
0x651795f3, 0xcbd83f3d, 0x650d57a0, 0xcbd0f7ca,
0x650317df, 0xcbc9b25a, 0x64f8d6b0, 0xcbc26eee,
0x64ee9415, 0xcbbb2d85, 0x64e4500e, 0xcbb3ee20,
0x64da0a9a, 0xcbacb0bf, 0x64cfc3ba, 0xcba57563,
0x64c57b6f, 0xcb9e3c0b, 0x64bb31ba, 0xcb9704b9,
0x64b0e699, 0xcb8fcf6b, 0x64a69a0f, 0xcb889c23,
0x649c4c1b, 0xcb816ae1, 0x6491fcbe, 0xcb7a3ba5,
0x6487abf7, 0xcb730e70, 0x647d59c8, 0xcb6be341,
0x64730631, 0xcb64ba19, 0x6468b132, 0xcb5d92f8,
0x645e5acc, 0xcb566ddf, 0x645402ff, 0xcb4f4acd,
0x6449a9cc, 0xcb4829c4, 0x643f4f32, 0xcb410ac3,
0x6434f332, 0xcb39edca, 0x642a95ce, 0xcb32d2da,
0x64203704, 0xcb2bb9f4, 0x6415d6d5, 0xcb24a316,
0x640b7543, 0xcb1d8e43, 0x6401124d, 0xcb167b79,
0x63f6adf3, 0xcb0f6aba, 0x63ec4837, 0xcb085c05,
0x63e1e117, 0xcb014f5b, 0x63d77896, 0xcafa44bc,
0x63cd0eb3, 0xcaf33c28, 0x63c2a36f, 0xcaec35a0,
0x63b836ca, 0xcae53123, 0x63adc8c4, 0xcade2eb3,
0x63a3595e, 0xcad72e4f, 0x6398e898, 0xcad02ff8,
0x638e7673, 0xcac933ae, 0x638402ef, 0xcac23971,
0x63798e0d, 0xcabb4141, 0x636f17cc, 0xcab44b1f,
0x6364a02e, 0xcaad570c, 0x635a2733, 0xcaa66506,
0x634facda, 0xca9f750f, 0x63453125, 0xca988727,
0x633ab414, 0xca919b4e, 0x633035a7, 0xca8ab184,
0x6325b5df, 0xca83c9ca, 0x631b34bc, 0xca7ce420,
0x6310b23e, 0xca760086, 0x63062e67, 0xca6f1efc,
0x62fba936, 0xca683f83, 0x62f122ab, 0xca61621b,
0x62e69ac8, 0xca5a86c4, 0x62dc118c, 0xca53ad7e,
0x62d186f8, 0xca4cd64b, 0x62c6fb0c, 0xca460129,
0x62bc6dca, 0xca3f2e19, 0x62b1df30, 0xca385d1d,
0x62a74f40, 0xca318e32, 0x629cbdfa, 0xca2ac15b,
0x62922b5e, 0xca23f698, 0x6287976e, 0xca1d2de7,
0x627d0228, 0xca16674b, 0x62726b8e, 0xca0fa2c3,
0x6267d3a0, 0xca08e04f, 0x625d3a5e, 0xca021fef,
0x62529fca, 0xc9fb61a5, 0x624803e2, 0xc9f4a570,
0x623d66a8, 0xc9edeb50, 0x6232c81c, 0xc9e73346,
0x6228283f, 0xc9e07d51, 0x621d8711, 0xc9d9c973,
0x6212e492, 0xc9d317ab, 0x620840c2, 0xc9cc67fa,
0x61fd9ba3, 0xc9c5ba60, 0x61f2f534, 0xc9bf0edd,
0x61e84d76, 0xc9b86572, 0x61dda46a, 0xc9b1be1e,
0x61d2fa0f, 0xc9ab18e3, 0x61c84e67, 0xc9a475bf,
0x61bda171, 0xc99dd4b4, 0x61b2f32e, 0xc99735c2,
0x61a8439e, 0xc99098e9, 0x619d92c2, 0xc989fe29,
0x6192e09b, 0xc9836582, 0x61882d28, 0xc97ccef5,
0x617d786a, 0xc9763a83, 0x6172c262, 0xc96fa82a,
0x61680b0f, 0xc96917ec, 0x615d5273, 0xc96289c9,
0x6152988d, 0xc95bfdc1, 0x6147dd5f, 0xc95573d4,
0x613d20e8, 0xc94eec03, 0x61326329, 0xc948664d,
0x6127a423, 0xc941e2b4, 0x611ce3d5, 0xc93b6137,
0x61122240, 0xc934e1d6, 0x61075f65, 0xc92e6492,
0x60fc9b44, 0xc927e96b, 0x60f1d5de, 0xc9217062,
0x60e70f32, 0xc91af976, 0x60dc4742, 0xc91484a8,
0x60d17e0d, 0xc90e11f7, 0x60c6b395, 0xc907a166,
0x60bbe7d8, 0xc90132f2, 0x60b11ad9, 0xc8fac69e,
0x60a64c97, 0xc8f45c68, 0x609b7d13, 0xc8edf452,
0x6090ac4d, 0xc8e78e5b, 0x6085da46, 0xc8e12a84,
0x607b06fe, 0xc8dac8cd, 0x60703275, 0xc8d46936,
0x60655cac, 0xc8ce0bc0, 0x605a85a3, 0xc8c7b06b,
0x604fad5b, 0xc8c15736, 0x6044d3d4, 0xc8bb0023,
0x6039f90f, 0xc8b4ab32, 0x602f1d0b, 0xc8ae5862,
0x60243fca, 0xc8a807b4, 0x6019614c, 0xc8a1b928,
0x600e8190, 0xc89b6cbf, 0x6003a099, 0xc8952278,
0x5ff8be65, 0xc88eda54, 0x5feddaf6, 0xc8889454,
0x5fe2f64c, 0xc8825077, 0x5fd81067, 0xc87c0ebd,
0x5fcd2948, 0xc875cf28, 0x5fc240ef, 0xc86f91b7,
0x5fb7575c, 0xc869566a, 0x5fac6c91, 0xc8631d42,
0x5fa1808c, 0xc85ce63e, 0x5f969350, 0xc856b160,
0x5f8ba4dc, 0xc8507ea7, 0x5f80b531, 0xc84a4e14,
0x5f75c44e, 0xc8441fa6, 0x5f6ad235, 0xc83df35f,
0x5f5fdee6, 0xc837c93e, 0x5f54ea62, 0xc831a143,
0x5f49f4a8, 0xc82b7b70, 0x5f3efdb9, 0xc82557c3,
0x5f340596, 0xc81f363d, 0x5f290c3f, 0xc81916df,
0x5f1e11b5, 0xc812f9a9, 0x5f1315f7, 0xc80cde9b,
0x5f081907, 0xc806c5b5, 0x5efd1ae4, 0xc800aef7,
0x5ef21b90, 0xc7fa9a62, 0x5ee71b0a, 0xc7f487f6,
0x5edc1953, 0xc7ee77b3, 0x5ed1166b, 0xc7e8699a,
0x5ec61254, 0xc7e25daa, 0x5ebb0d0d, 0xc7dc53e3,
0x5eb00696, 0xc7d64c47, 0x5ea4fef0, 0xc7d046d6,
0x5e99f61d, 0xc7ca438f, 0x5e8eec1b, 0xc7c44272,
0x5e83e0eb, 0xc7be4381, 0x5e78d48e, 0xc7b846ba,
0x5e6dc705, 0xc7b24c20, 0x5e62b84f, 0xc7ac53b1,
0x5e57a86d, 0xc7a65d6e, 0x5e4c9760, 0xc7a06957,
0x5e418528, 0xc79a776c, 0x5e3671c5, 0xc79487ae,
0x5e2b5d38, 0xc78e9a1d, 0x5e204781, 0xc788aeb9,
0x5e1530a1, 0xc782c582, 0x5e0a1898, 0xc77cde79,
0x5dfeff67, 0xc776f99d, 0x5df3e50d, 0xc77116f0,
0x5de8c98c, 0xc76b3671, 0x5dddace4, 0xc7655820,
0x5dd28f15, 0xc75f7bfe, 0x5dc7701f, 0xc759a20a,
0x5dbc5004, 0xc753ca46, 0x5db12ec3, 0xc74df4b1,
0x5da60c5d, 0xc748214c, 0x5d9ae8d2, 0xc7425016,
0x5d8fc424, 0xc73c8111, 0x5d849e51, 0xc736b43c,
0x5d79775c, 0xc730e997, 0x5d6e4f43, 0xc72b2123,
0x5d632608, 0xc7255ae0, 0x5d57fbaa, 0xc71f96ce,
0x5d4cd02c, 0xc719d4ed, 0x5d41a38c, 0xc714153e,
0x5d3675cb, 0xc70e57c0, 0x5d2b46ea, 0xc7089c75,
0x5d2016e9, 0xc702e35c, 0x5d14e5c9, 0xc6fd2c75,
0x5d09b389, 0xc6f777c1, 0x5cfe802b, 0xc6f1c540,
0x5cf34baf, 0xc6ec14f2, 0x5ce81615, 0xc6e666d7,
0x5cdcdf5e, 0xc6e0baf0, 0x5cd1a78a, 0xc6db113d,
0x5cc66e99, 0xc6d569be, 0x5cbb348d, 0xc6cfc472,
0x5caff965, 0xc6ca215c, 0x5ca4bd21, 0xc6c4807a,
0x5c997fc4, 0xc6bee1cd, 0x5c8e414b, 0xc6b94554,
0x5c8301b9, 0xc6b3ab12, 0x5c77c10e, 0xc6ae1304,
0x5c6c7f4a, 0xc6a87d2d, 0x5c613c6d, 0xc6a2e98b,
0x5c55f878, 0xc69d5820, 0x5c4ab36b, 0xc697c8eb,
0x5c3f6d47, 0xc6923bec, 0x5c34260c, 0xc68cb124,
0x5c28ddbb, 0xc6872894, 0x5c1d9454, 0xc681a23a,
0x5c1249d8, 0xc67c1e18, 0x5c06fe46, 0xc6769c2e,
0x5bfbb1a0, 0xc6711c7b, 0x5bf063e6, 0xc66b9f01,
0x5be51518, 0xc66623be, 0x5bd9c537, 0xc660aab5,
0x5bce7442, 0xc65b33e4, 0x5bc3223c, 0xc655bf4c,
0x5bb7cf23, 0xc6504ced, 0x5bac7af9, 0xc64adcc7,
0x5ba125bd, 0xc6456edb, 0x5b95cf71, 0xc6400329,
0x5b8a7815, 0xc63a99b1, 0x5b7f1fa9, 0xc6353273,
0x5b73c62d, 0xc62fcd6f, 0x5b686ba3, 0xc62a6aa6,
0x5b5d100a, 0xc6250a18, 0x5b51b363, 0xc61fabc4,
0x5b4655ae, 0xc61a4fac, 0x5b3af6ec, 0xc614f5cf,
0x5b2f971e, 0xc60f9e2e, 0x5b243643, 0xc60a48c9,
0x5b18d45c, 0xc604f5a0, 0x5b0d716a, 0xc5ffa4b3,
0x5b020d6c, 0xc5fa5603, 0x5af6a865, 0xc5f5098f,
0x5aeb4253, 0xc5efbf58, 0x5adfdb37, 0xc5ea775e,
0x5ad47312, 0xc5e531a1, 0x5ac909e5, 0xc5dfee22,
0x5abd9faf, 0xc5daace1, 0x5ab23471, 0xc5d56ddd,
0x5aa6c82b, 0xc5d03118, 0x5a9b5adf, 0xc5caf690,
0x5a8fec8c, 0xc5c5be47, 0x5a847d33, 0xc5c0883d,
0x5a790cd4, 0xc5bb5472, 0x5a6d9b70, 0xc5b622e6,
0x5a622907, 0xc5b0f399, 0x5a56b599, 0xc5abc68c,
0x5a4b4128, 0xc5a69bbe, 0x5a3fcbb3, 0xc5a17330,
0x5a34553b, 0xc59c4ce3, 0x5a28ddc0, 0xc59728d5,
0x5a1d6544, 0xc5920708, 0x5a11ebc5, 0xc58ce77c,
0x5a067145, 0xc587ca31, 0x59faf5c5, 0xc582af26,
0x59ef7944, 0xc57d965d, 0x59e3fbc3, 0xc5787fd6,
0x59d87d42, 0xc5736b90, 0x59ccfdc2, 0xc56e598c,
0x59c17d44, 0xc56949ca, 0x59b5fbc8, 0xc5643c4a,
0x59aa794d, 0xc55f310d, 0x599ef5d6, 0xc55a2812,
0x59937161, 0xc555215a, 0x5987ebf0, 0xc5501ce5,
0x597c6584, 0xc54b1ab4, 0x5970de1b, 0xc5461ac6,
0x596555b8, 0xc5411d1b, 0x5959cc5a, 0xc53c21b4,
0x594e4201, 0xc5372891, 0x5942b6af, 0xc53231b3,
0x59372a64, 0xc52d3d18, 0x592b9d1f, 0xc5284ac3,
0x59200ee3, 0xc5235ab2, 0x59147fae, 0xc51e6ce6,
0x5908ef82, 0xc519815f, 0x58fd5e5f, 0xc514981d,
0x58f1cc45, 0xc50fb121, 0x58e63935, 0xc50acc6b,
0x58daa52f, 0xc505e9fb, 0x58cf1034, 0xc50109d0,
0x58c37a44, 0xc4fc2bec, 0x58b7e35f, 0xc4f7504e,
0x58ac4b87, 0xc4f276f7, 0x58a0b2bb, 0xc4ed9fe7,
0x589518fc, 0xc4e8cb1e, 0x58897e4a, 0xc4e3f89c,
0x587de2a7, 0xc4df2862, 0x58724611, 0xc4da5a6f,
0x5866a88a, 0xc4d58ec3, 0x585b0a13, 0xc4d0c560,
0x584f6aab, 0xc4cbfe45, 0x5843ca53, 0xc4c73972,
0x5838290c, 0xc4c276e8, 0x582c86d5, 0xc4bdb6a6,
0x5820e3b0, 0xc4b8f8ad, 0x58153f9d, 0xc4b43cfd,
0x58099a9c, 0xc4af8397, 0x57fdf4ae, 0xc4aacc7a,
0x57f24dd3, 0xc4a617a6, 0x57e6a60c, 0xc4a1651c,
0x57dafd59, 0xc49cb4dd, 0x57cf53bb, 0xc49806e7,
0x57c3a931, 0xc4935b3c, 0x57b7fdbd, 0xc48eb1db,
0x57ac515f, 0xc48a0ac4, 0x57a0a417, 0xc48565f9,
0x5794f5e6, 0xc480c379, 0x578946cc, 0xc47c2344,
0x577d96ca, 0xc477855a, 0x5771e5e0, 0xc472e9bc,
0x5766340f, 0xc46e5069, 0x575a8157, 0xc469b963,
0x574ecdb8, 0xc46524a9, 0x57431933, 0xc460923b,
0x573763c9, 0xc45c0219, 0x572bad7a, 0xc4577444,
0x571ff646, 0xc452e8bc, 0x57143e2d, 0xc44e5f80,
0x57088531, 0xc449d892, 0x56fccb51, 0xc44553f2,
0x56f1108f, 0xc440d19e, 0x56e554ea, 0xc43c5199,
0x56d99864, 0xc437d3e1, 0x56cddafb, 0xc4335877,
0x56c21cb2, 0xc42edf5c, 0x56b65d88, 0xc42a688f,
0x56aa9d7e, 0xc425f410, 0x569edc94, 0xc42181e0,
0x56931acb, 0xc41d11ff, 0x56875823, 0xc418a46d,
0x567b949d, 0xc414392b, 0x566fd039, 0xc40fd037,
0x56640af7, 0xc40b6994, 0x565844d8, 0xc4070540,
0x564c7ddd, 0xc402a33c, 0x5640b606, 0xc3fe4388,
0x5634ed53, 0xc3f9e624, 0x562923c5, 0xc3f58b10,
0x561d595d, 0xc3f1324e, 0x56118e1a, 0xc3ecdbdc,
0x5605c1fd, 0xc3e887bb, 0x55f9f507, 0xc3e435ea,
0x55ee2738, 0xc3dfe66c, 0x55e25890, 0xc3db993e,
0x55d68911, 0xc3d74e62, 0x55cab8ba, 0xc3d305d8,
0x55bee78c, 0xc3cebfa0, 0x55b31587, 0xc3ca7bba,
0x55a742ac, 0xc3c63a26, 0x559b6efb, 0xc3c1fae5,
0x558f9a76, 0xc3bdbdf6, 0x5583c51b, 0xc3b9835a,
0x5577eeec, 0xc3b54b11, 0x556c17e9, 0xc3b1151b,
0x55604013, 0xc3ace178, 0x5554676a, 0xc3a8b028,
0x55488dee, 0xc3a4812c, 0x553cb3a0, 0xc3a05484,
0x5530d881, 0xc39c2a2f, 0x5524fc90, 0xc398022f,
0x55191fcf, 0xc393dc82, 0x550d423d, 0xc38fb92a,
0x550163dc, 0xc38b9827, 0x54f584ac, 0xc3877978,
0x54e9a4ac, 0xc3835d1e, 0x54ddc3de, 0xc37f4319,
0x54d1e242, 0xc37b2b6a, 0x54c5ffd9, 0xc377160f,
0x54ba1ca3, 0xc373030a, 0x54ae38a0, 0xc36ef25b,
0x54a253d1, 0xc36ae401, 0x54966e36, 0xc366d7fd,
0x548a87d1, 0xc362ce50, 0x547ea0a0, 0xc35ec6f8,
0x5472b8a5, 0xc35ac1f7, 0x5466cfe1, 0xc356bf4d,
0x545ae653, 0xc352bef9, 0x544efbfc, 0xc34ec0fc,
0x544310dd, 0xc34ac556, 0x543724f5, 0xc346cc07,
0x542b3846, 0xc342d510, 0x541f4ad1, 0xc33ee070,
0x54135c94, 0xc33aee27, 0x54076d91, 0xc336fe37,
0x53fb7dc9, 0xc333109e, 0x53ef8d3c, 0xc32f255e,
0x53e39be9, 0xc32b3c75, 0x53d7a9d3, 0xc32755e5,
0x53cbb6f8, 0xc32371ae, 0x53bfc35b, 0xc31f8fcf,
0x53b3cefa, 0xc31bb049, 0x53a7d9d7, 0xc317d31c,
0x539be3f2, 0xc313f848, 0x538fed4b, 0xc3101fce,
0x5383f5e3, 0xc30c49ad, 0x5377fdbb, 0xc30875e5,
0x536c04d2, 0xc304a477, 0x53600b2a, 0xc300d563,
0x535410c3, 0xc2fd08a9, 0x5348159d, 0xc2f93e4a,
0x533c19b8, 0xc2f57644, 0x53301d16, 0xc2f1b099,
0x53241fb6, 0xc2eded49, 0x5318219a, 0xc2ea2c53,
0x530c22c1, 0xc2e66db8, 0x5300232c, 0xc2e2b178,
0x52f422db, 0xc2def794, 0x52e821cf, 0xc2db400a,
0x52dc2009, 0xc2d78add, 0x52d01d89, 0xc2d3d80a,
0x52c41a4f, 0xc2d02794, 0x52b8165b, 0xc2cc7979,
0x52ac11af, 0xc2c8cdbb, 0x52a00c4b, 0xc2c52459,
0x5294062f, 0xc2c17d52, 0x5287ff5b, 0xc2bdd8a9,
0x527bf7d1, 0xc2ba365c, 0x526fef90, 0xc2b6966c,
0x5263e699, 0xc2b2f8d8, 0x5257dced, 0xc2af5da2,
0x524bd28c, 0xc2abc4c9, 0x523fc776, 0xc2a82e4d,
0x5233bbac, 0xc2a49a2e, 0x5227af2e, 0xc2a1086d,
0x521ba1fd, 0xc29d790a, 0x520f941a, 0xc299ec05,
0x52038584, 0xc296615d, 0x51f7763c, 0xc292d914,
0x51eb6643, 0xc28f5329, 0x51df5599, 0xc28bcf9c,
0x51d3443f, 0xc2884e6e, 0x51c73235, 0xc284cf9f,
0x51bb1f7c, 0xc281532e, 0x51af0c13, 0xc27dd91c,
0x51a2f7fc, 0xc27a616a, 0x5196e337, 0xc276ec16,
0x518acdc4, 0xc2737922, 0x517eb7a4, 0xc270088e,
0x5172a0d7, 0xc26c9a58, 0x5166895f, 0xc2692e83,
0x515a713a, 0xc265c50e, 0x514e586a, 0xc2625df8,
0x51423ef0, 0xc25ef943, 0x513624cb, 0xc25b96ee,
0x512a09fc, 0xc25836f9, 0x511dee84, 0xc254d965,
0x5111d263, 0xc2517e31, 0x5105b599, 0xc24e255e,
0x50f99827, 0xc24aceed, 0x50ed7a0e, 0xc2477adc,
0x50e15b4e, 0xc244292c, 0x50d53be7, 0xc240d9de,
0x50c91bda, 0xc23d8cf1, 0x50bcfb28, 0xc23a4265,
0x50b0d9d0, 0xc236fa3b, 0x50a4b7d3, 0xc233b473,
0x50989532, 0xc230710d, 0x508c71ee, 0xc22d3009,
0x50804e06, 0xc229f167, 0x5074297b, 0xc226b528,
0x5068044e, 0xc2237b4b, 0x505bde7f, 0xc22043d0,
0x504fb80e, 0xc21d0eb8, 0x504390fd, 0xc219dc03,
0x5037694b, 0xc216abb1, 0x502b40f8, 0xc2137dc2,
0x501f1807, 0xc2105236, 0x5012ee76, 0xc20d290d,
0x5006c446, 0xc20a0248, 0x4ffa9979, 0xc206dde6,
0x4fee6e0d, 0xc203bbe8, 0x4fe24205, 0xc2009c4e,
0x4fd6155f, 0xc1fd7f17, 0x4fc9e81e, 0xc1fa6445,
0x4fbdba40, 0xc1f74bd6, 0x4fb18bc8, 0xc1f435cc,
0x4fa55cb4, 0xc1f12227, 0x4f992d06, 0xc1ee10e5,
0x4f8cfcbe, 0xc1eb0209, 0x4f80cbdc, 0xc1e7f591,
0x4f749a61, 0xc1e4eb7e, 0x4f68684e, 0xc1e1e3d0,
0x4f5c35a3, 0xc1dede87, 0x4f500260, 0xc1dbdba3,
0x4f43ce86, 0xc1d8db25, 0x4f379a16, 0xc1d5dd0c,
0x4f2b650f, 0xc1d2e158, 0x4f1f2f73, 0xc1cfe80a,
0x4f12f941, 0xc1ccf122, 0x4f06c27a, 0xc1c9fca0,
0x4efa8b20, 0xc1c70a84, 0x4eee5331, 0xc1c41ace,
0x4ee21aaf, 0xc1c12d7e, 0x4ed5e19a, 0xc1be4294,
0x4ec9a7f3, 0xc1bb5a11, 0x4ebd6db9, 0xc1b873f5,
0x4eb132ef, 0xc1b5903f, 0x4ea4f793, 0xc1b2aef0,
0x4e98bba7, 0xc1afd007, 0x4e8c7f2a, 0xc1acf386,
0x4e80421e, 0xc1aa196c, 0x4e740483, 0xc1a741b9,
0x4e67c65a, 0xc1a46c6e, 0x4e5b87a2, 0xc1a1998a,
0x4e4f485c, 0xc19ec90d, 0x4e430889, 0xc19bfaf9,
0x4e36c82a, 0xc1992f4c, 0x4e2a873e, 0xc1966606,
0x4e1e45c6, 0xc1939f29, 0x4e1203c3, 0xc190dab4,
0x4e05c135, 0xc18e18a7, 0x4df97e1d, 0xc18b5903,
0x4ded3a7b, 0xc1889bc6, 0x4de0f64f, 0xc185e0f3,
0x4dd4b19a, 0xc1832888, 0x4dc86c5d, 0xc1807285,
0x4dbc2698, 0xc17dbeec, 0x4dafe04b, 0xc17b0dbb,
0x4da39978, 0xc1785ef4, 0x4d97521d, 0xc175b296,
0x4d8b0a3d, 0xc17308a1, 0x4d7ec1d6, 0xc1706115,
0x4d7278eb, 0xc16dbbf3, 0x4d662f7b, 0xc16b193a,
0x4d59e586, 0xc16878eb, 0x4d4d9b0e, 0xc165db05,
0x4d415013, 0xc1633f8a, 0x4d350495, 0xc160a678,
0x4d28b894, 0xc15e0fd1, 0x4d1c6c11, 0xc15b7b94,
0x4d101f0e, 0xc158e9c1, 0x4d03d189, 0xc1565a58,
0x4cf78383, 0xc153cd5a, 0x4ceb34fe, 0xc15142c6,
0x4cdee5f9, 0xc14eba9d, 0x4cd29676, 0xc14c34df,
0x4cc64673, 0xc149b18b, 0x4cb9f5f3, 0xc14730a3,
0x4cada4f5, 0xc144b225, 0x4ca1537a, 0xc1423613,
0x4c950182, 0xc13fbc6c, 0x4c88af0e, 0xc13d4530,
0x4c7c5c1e, 0xc13ad060, 0x4c7008b3, 0xc1385dfb,
0x4c63b4ce, 0xc135ee02, 0x4c57606e, 0xc1338075,
0x4c4b0b94, 0xc1311553, 0x4c3eb641, 0xc12eac9d,
0x4c326075, 0xc12c4653, 0x4c260a31, 0xc129e276,
0x4c19b374, 0xc1278104, 0x4c0d5c41, 0xc12521ff,
0x4c010496, 0xc122c566, 0x4bf4ac75, 0xc1206b39,
0x4be853de, 0xc11e1379, 0x4bdbfad1, 0xc11bbe26,
0x4bcfa150, 0xc1196b3f, 0x4bc34759, 0xc1171ac6,
0x4bb6ecef, 0xc114ccb9, 0x4baa9211, 0xc1128119,
0x4b9e36c0, 0xc11037e6, 0x4b91dafc, 0xc10df120,
0x4b857ec7, 0xc10bacc8, 0x4b79221f, 0xc1096add,
0x4b6cc506, 0xc1072b5f, 0x4b60677c, 0xc104ee4f,
0x4b540982, 0xc102b3ac, 0x4b47ab19, 0xc1007b77,
0x4b3b4c40, 0xc0fe45b0, 0x4b2eecf8, 0xc0fc1257,
0x4b228d42, 0xc0f9e16b, 0x4b162d1d, 0xc0f7b2ee,
0x4b09cc8c, 0xc0f586df, 0x4afd6b8d, 0xc0f35d3e,
0x4af10a22, 0xc0f1360b, 0x4ae4a84b, 0xc0ef1147,
0x4ad84609, 0xc0eceef1, 0x4acbe35b, 0xc0eacf09,
0x4abf8043, 0xc0e8b190, 0x4ab31cc1, 0xc0e69686,
0x4aa6b8d5, 0xc0e47deb, 0x4a9a5480, 0xc0e267be,
0x4a8defc3, 0xc0e05401, 0x4a818a9d, 0xc0de42b2,
0x4a752510, 0xc0dc33d2, 0x4a68bf1b, 0xc0da2762,
0x4a5c58c0, 0xc0d81d61, 0x4a4ff1fe, 0xc0d615cf,
0x4a438ad7, 0xc0d410ad, 0x4a37234a, 0xc0d20dfa,
0x4a2abb59, 0xc0d00db6, 0x4a1e5303, 0xc0ce0fe3,
0x4a11ea49, 0xc0cc147f, 0x4a05812c, 0xc0ca1b8a,
0x49f917ac, 0xc0c82506, 0x49ecadc9, 0xc0c630f2,
0x49e04385, 0xc0c43f4d, 0x49d3d8df, 0xc0c25019,
0x49c76dd8, 0xc0c06355, 0x49bb0271, 0xc0be7901,
0x49ae96aa, 0xc0bc911d, 0x49a22a83, 0xc0baabaa,
0x4995bdfd, 0xc0b8c8a7, 0x49895118, 0xc0b6e815,
0x497ce3d5, 0xc0b509f3, 0x49707635, 0xc0b32e42,
0x49640837, 0xc0b15502, 0x495799dd, 0xc0af7e33,
0x494b2b27, 0xc0ada9d4, 0x493ebc14, 0xc0abd7e6,
0x49324ca7, 0xc0aa086a, 0x4925dcdf, 0xc0a83b5e,
0x49196cbc, 0xc0a670c4, 0x490cfc40, 0xc0a4a89b,
0x49008b6a, 0xc0a2e2e3, 0x48f41a3c, 0xc0a11f9d,
0x48e7a8b5, 0xc09f5ec8, 0x48db36d6, 0xc09da065,
0x48cec4a0, 0xc09be473, 0x48c25213, 0xc09a2af3,
0x48b5df30, 0xc09873e4, 0x48a96bf6, 0xc096bf48,
0x489cf867, 0xc0950d1d, 0x48908483, 0xc0935d64,
0x4884104b, 0xc091b01d, 0x48779bbe, 0xc0900548,
0x486b26de, 0xc08e5ce5, 0x485eb1ab, 0xc08cb6f5,
0x48523c25, 0xc08b1376, 0x4845c64d, 0xc089726a,
0x48395024, 0xc087d3d0, 0x482cd9a9, 0xc08637a9,
0x482062de, 0xc0849df4, 0x4813ebc2, 0xc08306b2,
0x48077457, 0xc08171e2, 0x47fafc9c, 0xc07fdf85,
0x47ee8493, 0xc07e4f9b, 0x47e20c3b, 0xc07cc223,
0x47d59396, 0xc07b371e, 0x47c91aa3, 0xc079ae8c,
0x47bca163, 0xc078286e, 0x47b027d7, 0xc076a4c2,
0x47a3adff, 0xc0752389, 0x479733dc, 0xc073a4c3,
0x478ab96e, 0xc0722871, 0x477e3eb5, 0xc070ae92,
0x4771c3b3, 0xc06f3726, 0x47654867, 0xc06dc22e,
0x4758ccd2, 0xc06c4fa8, 0x474c50f4, 0xc06adf97,
0x473fd4cf, 0xc06971f9, 0x47335862, 0xc06806ce,
0x4726dbae, 0xc0669e18, 0x471a5eb3, 0xc06537d4,
0x470de172, 0xc063d405, 0x470163eb, 0xc06272aa,
0x46f4e620, 0xc06113c2, 0x46e86810, 0xc05fb74e,
0x46dbe9bb, 0xc05e5d4e, 0x46cf6b23, 0xc05d05c3,
0x46c2ec48, 0xc05bb0ab, 0x46b66d29, 0xc05a5e07,
0x46a9edc9, 0xc0590dd8, 0x469d6e27, 0xc057c01d,
0x4690ee44, 0xc05674d6, 0x46846e1f, 0xc0552c03,
0x4677edbb, 0xc053e5a5, 0x466b6d16, 0xc052a1bb,
0x465eec33, 0xc0516045, 0x46526b10, 0xc0502145,
0x4645e9af, 0xc04ee4b8, 0x46396810, 0xc04daaa1,
0x462ce634, 0xc04c72fe, 0x4620641a, 0xc04b3dcf,
0x4613e1c5, 0xc04a0b16, 0x46075f33, 0xc048dad1,
0x45fadc66, 0xc047ad01, 0x45ee595d, 0xc04681a6,
0x45e1d61b, 0xc04558c0, 0x45d5529e, 0xc044324f,
0x45c8cee7, 0xc0430e53, 0x45bc4af8, 0xc041eccc,
0x45afc6d0, 0xc040cdba, 0x45a3426f, 0xc03fb11d,
0x4596bdd7, 0xc03e96f6, 0x458a3908, 0xc03d7f44,
0x457db403, 0xc03c6a07, 0x45712ec7, 0xc03b573f,
0x4564a955, 0xc03a46ed, 0x455823ae, 0xc0393910,
0x454b9dd3, 0xc0382da8, 0x453f17c3, 0xc03724b6,
0x4532917f, 0xc0361e3a, 0x45260b08, 0xc0351a33,
0x4519845e, 0xc03418a2, 0x450cfd82, 0xc0331986,
0x45007674, 0xc0321ce0, 0x44f3ef35, 0xc03122b0,
0x44e767c5, 0xc0302af5, 0x44dae024, 0xc02f35b1,
0x44ce5854, 0xc02e42e2, 0x44c1d054, 0xc02d5289,
0x44b54825, 0xc02c64a6, 0x44a8bfc7, 0xc02b7939,
0x449c373c, 0xc02a9042, 0x448fae83, 0xc029a9c1,
0x4483259d, 0xc028c5b6, 0x44769c8b, 0xc027e421,
0x446a134c, 0xc0270502, 0x445d89e2, 0xc0262859,
0x4451004d, 0xc0254e27, 0x4444768d, 0xc024766a,
0x4437eca4, 0xc023a124, 0x442b6290, 0xc022ce54,
0x441ed854, 0xc021fdfb, 0x44124dee, 0xc0213018,
0x4405c361, 0xc02064ab, 0x43f938ac, 0xc01f9bb5,
0x43ecadcf, 0xc01ed535, 0x43e022cc, 0xc01e112b,
0x43d397a3, 0xc01d4f99, 0x43c70c54, 0xc01c907c,
0x43ba80df, 0xc01bd3d6, 0x43adf546, 0xc01b19a7,
0x43a16988, 0xc01a61ee, 0x4394dda7, 0xc019acac,
0x438851a2, 0xc018f9e1, 0x437bc57b, 0xc018498c,
0x436f3931, 0xc0179bae, 0x4362acc5, 0xc016f047,
0x43562038, 0xc0164757, 0x43499389, 0xc015a0dd,
0x433d06bb, 0xc014fcda, 0x433079cc, 0xc0145b4e,
0x4323ecbe, 0xc013bc39, 0x43175f91, 0xc0131f9b,
0x430ad245, 0xc0128574, 0x42fe44dc, 0xc011edc3,
0x42f1b755, 0xc011588a, 0x42e529b0, 0xc010c5c7,
0x42d89bf0, 0xc010357c, 0x42cc0e13, 0xc00fa7a8,
0x42bf801a, 0xc00f1c4a, 0x42b2f207, 0xc00e9364,
0x42a663d8, 0xc00e0cf5, 0x4299d590, 0xc00d88fd,
0x428d472e, 0xc00d077c, 0x4280b8b3, 0xc00c8872,
0x42742a1f, 0xc00c0be0, 0x42679b73, 0xc00b91c4,
0x425b0caf, 0xc00b1a20, 0x424e7dd4, 0xc00aa4f3,
0x4241eee2, 0xc00a323d, 0x42355fd9, 0xc009c1ff,
0x4228d0bb, 0xc0095438, 0x421c4188, 0xc008e8e8,
0x420fb240, 0xc008800f, 0x420322e3, 0xc00819ae,
0x41f69373, 0xc007b5c4, 0x41ea03ef, 0xc0075452,
0x41dd7459, 0xc006f556, 0x41d0e4b0, 0xc00698d3,
0x41c454f5, 0xc0063ec6, 0x41b7c528, 0xc005e731,
0x41ab354b, 0xc0059214, 0x419ea55d, 0xc0053f6e,
0x4192155f, 0xc004ef3f, 0x41858552, 0xc004a188,
0x4178f536, 0xc0045648, 0x416c650b, 0xc0040d80,
0x415fd4d2, 0xc003c72f, 0x4153448c, 0xc0038356,
0x4146b438, 0xc00341f4, 0x413a23d8, 0xc003030a,
0x412d936c, 0xc002c697, 0x412102f4, 0xc0028c9c,
0x41147271, 0xc0025519, 0x4107e1e3, 0xc002200d,
0x40fb514b, 0xc001ed78, 0x40eec0aa, 0xc001bd5c,
0x40e22fff, 0xc0018fb6, 0x40d59f4c, 0xc0016489,
0x40c90e90, 0xc0013bd3, 0x40bc7dcc, 0xc0011594,
0x40afed02, 0xc000f1ce, 0x40a35c30, 0xc000d07e,
0x4096cb58, 0xc000b1a7, 0x408a3a7b, 0xc0009547,
0x407da998, 0xc0007b5f, 0x407118b0, 0xc00063ee,
0x406487c4, 0xc0004ef5, 0x4057f6d4, 0xc0003c74,
0x404b65e1, 0xc0002c6a, 0x403ed4ea, 0xc0001ed8,
0x403243f1, 0xc00013bd, 0x4025b2f7, 0xc0000b1a,
0x401921fb, 0xc00004ef, 0x400c90fe, 0xc000013c,
};
/**
* @brief Initialization function for the Q31 RFFT/RIFFT.
* @param[in, out] *S points to an instance of the Q31 RFFT/RIFFT structure.
* @param[in] fftLenReal length of the FFT.
* @param[in] ifftFlagR flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform.
* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.
* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported value.
*
* \par Description:
* \par
* The parameter <code>fftLenReal</code> Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192.
* \par
* The parameter <code>ifftFlagR</code> controls whether a forward or inverse transform is computed.
* Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated.
* \par
* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.
* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
* \par 7
* This function also initializes Twiddle factor table.
*/
arm_status arm_rfft_init_q31(
arm_rfft_instance_q31 * S,
uint32_t fftLenReal,
uint32_t ifftFlagR,
uint32_t bitReverseFlag)
{
/* Initialise the default arm status */
arm_status status = ARM_MATH_SUCCESS;
/* Initialize the Real FFT length */
S->fftLenReal = (uint16_t) fftLenReal;
/* Initialize the Twiddle coefficientA pointer */
S->pTwiddleAReal = (q31_t *) realCoefAQ31;
/* Initialize the Twiddle coefficientB pointer */
S->pTwiddleBReal = (q31_t *) realCoefBQ31;
/* Initialize the Flag for selection of RFFT or RIFFT */
S->ifftFlagR = (uint8_t) ifftFlagR;
/* Initialize the Flag for calculation Bit reversal or not */
S->bitReverseFlagR = (uint8_t) bitReverseFlag;
/* Initialization of coef modifier depending on the FFT length */
switch (S->fftLenReal)
{
case 8192u:
S->twidCoefRModifier = 1u;
S->pCfft = &arm_cfft_sR_q31_len4096;
break;
case 4096u:
S->twidCoefRModifier = 2u;
S->pCfft = &arm_cfft_sR_q31_len2048;
break;
case 2048u:
S->twidCoefRModifier = 4u;
S->pCfft = &arm_cfft_sR_q31_len1024;
break;
case 1024u:
S->twidCoefRModifier = 8u;
S->pCfft = &arm_cfft_sR_q31_len512;
break;
case 512u:
S->twidCoefRModifier = 16u;
S->pCfft = &arm_cfft_sR_q31_len256;
break;
case 256u:
S->twidCoefRModifier = 32u;
S->pCfft = &arm_cfft_sR_q31_len128;
break;
case 128u:
S->twidCoefRModifier = 64u;
S->pCfft = &arm_cfft_sR_q31_len64;
break;
case 64u:
S->twidCoefRModifier = 128u;
S->pCfft = &arm_cfft_sR_q31_len32;
break;
case 32u:
S->twidCoefRModifier = 256u;
S->pCfft = &arm_cfft_sR_q31_len16;
break;
default:
/* Reporting argument error if rfftSize is not valid value */
status = ARM_MATH_ARGUMENT_ERROR;
break;
}
/* return the status of RFFT Init function */
return (status);
}
/**
* @} end of RealFFT group
*/

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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_rfft_q15.c
*
* Description: RFFT & RIFFT Q15 process function
*
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
/*--------------------------------------------------------------------
* Internal functions prototypes
--------------------------------------------------------------------*/
void arm_split_rfft_q15(
q15_t * pSrc,
uint32_t fftLen,
q15_t * pATable,
q15_t * pBTable,
q15_t * pDst,
uint32_t modifier);
void arm_split_rifft_q15(
q15_t * pSrc,
uint32_t fftLen,
q15_t * pATable,
q15_t * pBTable,
q15_t * pDst,
uint32_t modifier);
/**
* @addtogroup RealFFT
* @{
*/
/**
* @brief Processing function for the Q15 RFFT/RIFFT.
* @param[in] *S points to an instance of the Q15 RFFT/RIFFT structure.
* @param[in] *pSrc points to the input buffer.
* @param[out] *pDst points to the output buffer.
* @return none.
*
* \par Input an output formats:
* \par
* Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.
* Hence the output format is different for different RFFT sizes.
* The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT:
* \par
* \image html RFFTQ15.gif "Input and Output Formats for Q15 RFFT"
* \par
* \image html RIFFTQ15.gif "Input and Output Formats for Q15 RIFFT"
*/
void arm_rfft_q15(
const arm_rfft_instance_q15 * S,
q15_t * pSrc,
q15_t * pDst)
{
const arm_cfft_instance_q15 *S_CFFT = S->pCfft;
uint32_t i;
uint32_t L2 = S->fftLenReal >> 1;
/* Calculation of RIFFT of input */
if(S->ifftFlagR == 1u)
{
/* Real IFFT core process */
arm_split_rifft_q15(pSrc, L2, S->pTwiddleAReal,
S->pTwiddleBReal, pDst, S->twidCoefRModifier);
/* Complex IFFT process */
arm_cfft_q15(S_CFFT, pDst, S->ifftFlagR, S->bitReverseFlagR);
for(i=0;i<S->fftLenReal;i++)
{
pDst[i] = pDst[i] << 1;
}
}
else
{
/* Calculation of RFFT of input */
/* Complex FFT process */
arm_cfft_q15(S_CFFT, pSrc, S->ifftFlagR, S->bitReverseFlagR);
/* Real FFT core process */
arm_split_rfft_q15(pSrc, L2, S->pTwiddleAReal,
S->pTwiddleBReal, pDst, S->twidCoefRModifier);
}
}
/**
* @} end of RealFFT group
*/
/**
* @brief Core Real FFT process
* @param *pSrc points to the input buffer.
* @param fftLen length of FFT.
* @param *pATable points to the A twiddle Coef buffer.
* @param *pBTable points to the B twiddle Coef buffer.
* @param *pDst points to the output buffer.
* @param modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
* @return none.
* The function implements a Real FFT
*/
void arm_split_rfft_q15(
q15_t * pSrc,
uint32_t fftLen,
q15_t * pATable,
q15_t * pBTable,
q15_t * pDst,
uint32_t modifier)
{
uint32_t i; /* Loop Counter */
q31_t outR, outI; /* Temporary variables for output */
q15_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */
q15_t *pSrc1, *pSrc2;
#ifndef ARM_MATH_CM0_FAMILY
q15_t *pD1, *pD2;
#endif
// pSrc[2u * fftLen] = pSrc[0];
// pSrc[(2u * fftLen) + 1u] = pSrc[1];
pCoefA = &pATable[modifier * 2u];
pCoefB = &pBTable[modifier * 2u];
pSrc1 = &pSrc[2];
pSrc2 = &pSrc[(2u * fftLen) - 2u];
#ifndef ARM_MATH_CM0_FAMILY
/* Run the below code for Cortex-M4 and Cortex-M3 */
i = 1u;
pD1 = pDst + 2;
pD2 = pDst + (4u * fftLen) - 2;
for(i = fftLen - 1; i > 0; i--)
{
/*
outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1]
+ pSrc[2 * n - 2 * i] * pBTable[2 * i] +
pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
*/
/* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] +
pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -
pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); */
#ifndef ARM_MATH_BIG_ENDIAN
/* pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1] */
outR = __SMUSD(*__SIMD32(pSrc1), *__SIMD32(pCoefA));
#else
/* -(pSrc[2 * i + 1] * pATable[2 * i + 1] - pSrc[2 * i] * pATable[2 * i]) */
outR = -(__SMUSD(*__SIMD32(pSrc1), *__SIMD32(pCoefA)));
#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
/* pSrc[2 * n - 2 * i] * pBTable[2 * i] +
pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]) */
outR = __SMLAD(*__SIMD32(pSrc2), *__SIMD32(pCoefB), outR) >> 16u;
/* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -
pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
#ifndef ARM_MATH_BIG_ENDIAN
outI = __SMUSDX(*__SIMD32(pSrc2)--, *__SIMD32(pCoefB));
#else
outI = __SMUSDX(*__SIMD32(pCoefB), *__SIMD32(pSrc2)--);
#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
/* (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] */
outI = __SMLADX(*__SIMD32(pSrc1)++, *__SIMD32(pCoefA), outI);
/* write output */
*pD1++ = (q15_t) outR;
*pD1++ = outI >> 16u;
/* write complex conjugate output */
pD2[0] = (q15_t) outR;
pD2[1] = -(outI >> 16u);
pD2 -= 2;
/* update coefficient pointer */
pCoefB = pCoefB + (2u * modifier);
pCoefA = pCoefA + (2u * modifier);
}
pDst[2u * fftLen] = (pSrc[0] - pSrc[1]) >> 1;
pDst[(2u * fftLen) + 1u] = 0;
pDst[0] = (pSrc[0] + pSrc[1]) >> 1;
pDst[1] = 0;
#else
/* Run the below code for Cortex-M0 */
i = 1u;
while(i < fftLen)
{
/*
outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1]
+ pSrc[2 * n - 2 * i] * pBTable[2 * i] +
pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
*/
outR = *pSrc1 * *pCoefA;
outR = outR - (*(pSrc1 + 1) * *(pCoefA + 1));
outR = outR + (*pSrc2 * *pCoefB);
outR = (outR + (*(pSrc2 + 1) * *(pCoefB + 1))) >> 16;
/* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] +
pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -
pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);
*/
outI = *pSrc2 * *(pCoefB + 1);
outI = outI - (*(pSrc2 + 1) * *pCoefB);
outI = outI + (*(pSrc1 + 1) * *pCoefA);
outI = outI + (*pSrc1 * *(pCoefA + 1));
/* update input pointers */
pSrc1 += 2u;
pSrc2 -= 2u;
/* write output */
pDst[2u * i] = (q15_t) outR;
pDst[(2u * i) + 1u] = outI >> 16u;
/* write complex conjugate output */
pDst[(4u * fftLen) - (2u * i)] = (q15_t) outR;
pDst[((4u * fftLen) - (2u * i)) + 1u] = -(outI >> 16u);
/* update coefficient pointer */
pCoefB = pCoefB + (2u * modifier);
pCoefA = pCoefA + (2u * modifier);
i++;
}
pDst[2u * fftLen] = (pSrc[0] - pSrc[1]) >> 1;
pDst[(2u * fftLen) + 1u] = 0;
pDst[0] = (pSrc[0] + pSrc[1]) >> 1;
pDst[1] = 0;
#endif /* #ifndef ARM_MATH_CM0_FAMILY */
}
/**
* @brief Core Real IFFT process
* @param[in] *pSrc points to the input buffer.
* @param[in] fftLen length of FFT.
* @param[in] *pATable points to the twiddle Coef A buffer.
* @param[in] *pBTable points to the twiddle Coef B buffer.
* @param[out] *pDst points to the output buffer.
* @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
* @return none.
* The function implements a Real IFFT
*/
void arm_split_rifft_q15(
q15_t * pSrc,
uint32_t fftLen,
q15_t * pATable,
q15_t * pBTable,
q15_t * pDst,
uint32_t modifier)
{
uint32_t i; /* Loop Counter */
q31_t outR, outI; /* Temporary variables for output */
q15_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */
q15_t *pSrc1, *pSrc2;
q15_t *pDst1 = &pDst[0];
pCoefA = &pATable[0];
pCoefB = &pBTable[0];
pSrc1 = &pSrc[0];
pSrc2 = &pSrc[2u * fftLen];
#ifndef ARM_MATH_CM0_FAMILY
/* Run the below code for Cortex-M4 and Cortex-M3 */
i = fftLen;
while(i > 0u)
{
/*
outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +
pIn[2 * n - 2 * i] * pBTable[2 * i] -
pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] -
pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -
pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);
*/
#ifndef ARM_MATH_BIG_ENDIAN
/* pIn[2 * n - 2 * i] * pBTable[2 * i] -
pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]) */
outR = __SMUSD(*__SIMD32(pSrc2), *__SIMD32(pCoefB));
#else
/* -(-pIn[2 * n - 2 * i] * pBTable[2 * i] +
pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1])) */
outR = -(__SMUSD(*__SIMD32(pSrc2), *__SIMD32(pCoefB)));
#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
/* pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +
pIn[2 * n - 2 * i] * pBTable[2 * i] */
outR = __SMLAD(*__SIMD32(pSrc1), *__SIMD32(pCoefA), outR) >> 16u;
/*
-pIn[2 * n - 2 * i] * pBTable[2 * i + 1] +
pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
outI = __SMUADX(*__SIMD32(pSrc2)--, *__SIMD32(pCoefB));
/* pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] */
#ifndef ARM_MATH_BIG_ENDIAN
outI = __SMLSDX(*__SIMD32(pCoefA), *__SIMD32(pSrc1)++, -outI);
#else
outI = __SMLSDX(*__SIMD32(pSrc1)++, *__SIMD32(pCoefA), -outI);
#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
/* write output */
#ifndef ARM_MATH_BIG_ENDIAN
*__SIMD32(pDst1)++ = __PKHBT(outR, (outI >> 16u), 16);
#else
*__SIMD32(pDst1)++ = __PKHBT((outI >> 16u), outR, 16);
#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
/* update coefficient pointer */
pCoefB = pCoefB + (2u * modifier);
pCoefA = pCoefA + (2u * modifier);
i--;
}
#else
/* Run the below code for Cortex-M0 */
i = fftLen;
while(i > 0u)
{
/*
outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +
pIn[2 * n - 2 * i] * pBTable[2 * i] -
pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
*/
outR = *pSrc2 * *pCoefB;
outR = outR - (*(pSrc2 + 1) * *(pCoefB + 1));
outR = outR + (*pSrc1 * *pCoefA);
outR = (outR + (*(pSrc1 + 1) * *(pCoefA + 1))) >> 16;
/*
outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] -
pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -
pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);
*/
outI = *(pSrc1 + 1) * *pCoefA;
outI = outI - (*pSrc1 * *(pCoefA + 1));
outI = outI - (*pSrc2 * *(pCoefB + 1));
outI = outI - (*(pSrc2 + 1) * *(pCoefB));
/* update input pointers */
pSrc1 += 2u;
pSrc2 -= 2u;
/* write output */
*pDst1++ = (q15_t) outR;
*pDst1++ = (q15_t) (outI >> 16);
/* update coefficient pointer */
pCoefB = pCoefB + (2u * modifier);
pCoefA = pCoefA + (2u * modifier);
i--;
}
#endif /* #ifndef ARM_MATH_CM0_FAMILY */
}

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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_rfft_q31.c
*
* Description: RFFT & RIFFT Q31 process function
*
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
/*--------------------------------------------------------------------
* Internal functions prototypes
--------------------------------------------------------------------*/
void arm_split_rfft_q31(
q31_t * pSrc,
uint32_t fftLen,
q31_t * pATable,
q31_t * pBTable,
q31_t * pDst,
uint32_t modifier);
void arm_split_rifft_q31(
q31_t * pSrc,
uint32_t fftLen,
q31_t * pATable,
q31_t * pBTable,
q31_t * pDst,
uint32_t modifier);
/**
* @addtogroup RealFFT
* @{
*/
/**
* @brief Processing function for the Q31 RFFT/RIFFT.
* @param[in] *S points to an instance of the Q31 RFFT/RIFFT structure.
* @param[in] *pSrc points to the input buffer.
* @param[out] *pDst points to the output buffer.
* @return none.
*
* \par Input an output formats:
* \par
* Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.
* Hence the output format is different for different RFFT sizes.
* The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT:
* \par
* \image html RFFTQ31.gif "Input and Output Formats for Q31 RFFT"
*
* \par
* \image html RIFFTQ31.gif "Input and Output Formats for Q31 RIFFT"
*/
void arm_rfft_q31(
const arm_rfft_instance_q31 * S,
q31_t * pSrc,
q31_t * pDst)
{
const arm_cfft_instance_q31 *S_CFFT = S->pCfft;
uint32_t i;
uint32_t L2 = S->fftLenReal >> 1;
/* Calculation of RIFFT of input */
if(S->ifftFlagR == 1u)
{
/* Real IFFT core process */
arm_split_rifft_q31(pSrc, L2, S->pTwiddleAReal,
S->pTwiddleBReal, pDst, S->twidCoefRModifier);
/* Complex IFFT process */
arm_cfft_q31(S_CFFT, pDst, S->ifftFlagR, S->bitReverseFlagR);
for(i=0;i<S->fftLenReal;i++)
{
pDst[i] = pDst[i] << 1;
}
}
else
{
/* Calculation of RFFT of input */
/* Complex FFT process */
arm_cfft_q31(S_CFFT, pSrc, S->ifftFlagR, S->bitReverseFlagR);
/* Real FFT core process */
arm_split_rfft_q31(pSrc, L2, S->pTwiddleAReal,
S->pTwiddleBReal, pDst, S->twidCoefRModifier);
}
}
/**
* @} end of RealFFT group
*/
/**
* @brief Core Real FFT process
* @param[in] *pSrc points to the input buffer.
* @param[in] fftLen length of FFT.
* @param[in] *pATable points to the twiddle Coef A buffer.
* @param[in] *pBTable points to the twiddle Coef B buffer.
* @param[out] *pDst points to the output buffer.
* @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
* @return none.
*/
void arm_split_rfft_q31(
q31_t * pSrc,
uint32_t fftLen,
q31_t * pATable,
q31_t * pBTable,
q31_t * pDst,
uint32_t modifier)
{
uint32_t i; /* Loop Counter */
q31_t outR, outI; /* Temporary variables for output */
q31_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */
q31_t CoefA1, CoefA2, CoefB1; /* Temporary variables for twiddle coefficients */
q31_t *pOut1 = &pDst[2], *pOut2 = &pDst[(4u * fftLen) - 1u];
q31_t *pIn1 = &pSrc[2], *pIn2 = &pSrc[(2u * fftLen) - 1u];
/* Init coefficient pointers */
pCoefA = &pATable[modifier * 2u];
pCoefB = &pBTable[modifier * 2u];
i = fftLen - 1u;
while(i > 0u)
{
/*
outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1]
+ pSrc[2 * n - 2 * i] * pBTable[2 * i] +
pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
*/
/* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] +
pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -
pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); */
CoefA1 = *pCoefA++;
CoefA2 = *pCoefA;
/* outR = (pSrc[2 * i] * pATable[2 * i] */
mult_32x32_keep32_R(outR, *pIn1, CoefA1);
/* outI = pIn[2 * i] * pATable[2 * i + 1] */
mult_32x32_keep32_R(outI, *pIn1++, CoefA2);
/* - pSrc[2 * i + 1] * pATable[2 * i + 1] */
multSub_32x32_keep32_R(outR, *pIn1, CoefA2);
/* (pIn[2 * i + 1] * pATable[2 * i] */
multAcc_32x32_keep32_R(outI, *pIn1++, CoefA1);
/* pSrc[2 * n - 2 * i] * pBTable[2 * i] */
multSub_32x32_keep32_R(outR, *pIn2, CoefA2);
CoefB1 = *pCoefB;
/* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] */
multSub_32x32_keep32_R(outI, *pIn2--, CoefB1);
/* pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1] */
multAcc_32x32_keep32_R(outR, *pIn2, CoefB1);
/* pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
multSub_32x32_keep32_R(outI, *pIn2--, CoefA2);
/* write output */
*pOut1++ = outR;
*pOut1++ = outI;
/* write complex conjugate output */
*pOut2-- = -outI;
*pOut2-- = outR;
/* update coefficient pointer */
pCoefB = pCoefB + (modifier * 2u);
pCoefA = pCoefA + ((modifier * 2u) - 1u);
i--;
}
pDst[2u * fftLen] = (pSrc[0] - pSrc[1]) >> 1;
pDst[(2u * fftLen) + 1u] = 0;
pDst[0] = (pSrc[0] + pSrc[1]) >> 1;
pDst[1] = 0;
}
/**
* @brief Core Real IFFT process
* @param[in] *pSrc points to the input buffer.
* @param[in] fftLen length of FFT.
* @param[in] *pATable points to the twiddle Coef A buffer.
* @param[in] *pBTable points to the twiddle Coef B buffer.
* @param[out] *pDst points to the output buffer.
* @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
* @return none.
*/
void arm_split_rifft_q31(
q31_t * pSrc,
uint32_t fftLen,
q31_t * pATable,
q31_t * pBTable,
q31_t * pDst,
uint32_t modifier)
{
q31_t outR, outI; /* Temporary variables for output */
q31_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */
q31_t CoefA1, CoefA2, CoefB1; /* Temporary variables for twiddle coefficients */
q31_t *pIn1 = &pSrc[0], *pIn2 = &pSrc[(2u * fftLen) + 1u];
pCoefA = &pATable[0];
pCoefB = &pBTable[0];
while(fftLen > 0u)
{
/*
outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] +
pIn[2 * n - 2 * i] * pBTable[2 * i] -
pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] -
pIn[2 * n - 2 * i] * pBTable[2 * i + 1] -
pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);
*/
CoefA1 = *pCoefA++;
CoefA2 = *pCoefA;
/* outR = (pIn[2 * i] * pATable[2 * i] */
mult_32x32_keep32_R(outR, *pIn1, CoefA1);
/* - pIn[2 * i] * pATable[2 * i + 1] */
mult_32x32_keep32_R(outI, *pIn1++, -CoefA2);
/* pIn[2 * i + 1] * pATable[2 * i + 1] */
multAcc_32x32_keep32_R(outR, *pIn1, CoefA2);
/* pIn[2 * i + 1] * pATable[2 * i] */
multAcc_32x32_keep32_R(outI, *pIn1++, CoefA1);
/* pIn[2 * n - 2 * i] * pBTable[2 * i] */
multAcc_32x32_keep32_R(outR, *pIn2, CoefA2);
CoefB1 = *pCoefB;
/* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] */
multSub_32x32_keep32_R(outI, *pIn2--, CoefB1);
/* pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1] */
multAcc_32x32_keep32_R(outR, *pIn2, CoefB1);
/* pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
multAcc_32x32_keep32_R(outI, *pIn2--, CoefA2);
/* write output */
*pDst++ = outR;
*pDst++ = outI;
/* update coefficient pointer */
pCoefB = pCoefB + (modifier * 2u);
pCoefA = pCoefA + ((modifier * 2u) - 1u);
/* Decrement loop count */
fftLen--;
}
}