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-/* ----------------------------------------------------------------------
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.
-*
-* $Date: 17. January 2013
-* $Revision: V1.4.1
-*
-* Project: CMSIS DSP Library
-* Title: arm_cos_q15.c
-*
-* Description: Fast cosine calculation for Q15 values.
-*
-* 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 groupFastMath
- */
-
- /**
- * @addtogroup cos
- * @{
- */
-
-/**
-* \par
- * Table values are in Q15 (1.15 fixed-point format) and generation is done in
- * three steps. First, generate cos values in floating point:
- * <pre>
- * tableSize = 256;
- * for(n = -1; n < (tableSize + 1); n++)
- * {
- * cosTable[n+1]= cos(2*pi*n/tableSize);
- * } </pre>
- * where pi value is 3.14159265358979
- * \par
- * Second, convert floating-point to Q15 (fixed-point):
- * (cosTable[i] * pow(2, 15))
- * \par
- * Finally, round to the nearest integer value:
- * cosTable[i] += (cosTable[i] > 0 ? 0.5 :-0.5);
-*/
-
-static const q15_t cosTableQ15[259] = {
- 0x7ff6, 0x7fff, 0x7ff6, 0x7fd9, 0x7fa7, 0x7f62, 0x7f0a, 0x7e9d,
- 0x7e1e, 0x7d8a, 0x7ce4, 0x7c2a, 0x7b5d, 0x7a7d, 0x798a, 0x7885,
- 0x776c, 0x7642, 0x7505, 0x73b6, 0x7255, 0x70e3, 0x6f5f, 0x6dca,
- 0x6c24, 0x6a6e, 0x68a7, 0x66d0, 0x64e9, 0x62f2, 0x60ec, 0x5ed7,
- 0x5cb4, 0x5a82, 0x5843, 0x55f6, 0x539b, 0x5134, 0x4ec0, 0x4c40,
- 0x49b4, 0x471d, 0x447b, 0x41ce, 0x3f17, 0x3c57, 0x398d, 0x36ba,
- 0x33df, 0x30fc, 0x2e11, 0x2b1f, 0x2827, 0x2528, 0x2224, 0x1f1a,
- 0x1c0c, 0x18f9, 0x15e2, 0x12c8, 0xfab, 0xc8c, 0x96b, 0x648,
- 0x324, 0x0, 0xfcdc, 0xf9b8, 0xf695, 0xf374, 0xf055, 0xed38,
- 0xea1e, 0xe707, 0xe3f4, 0xe0e6, 0xdddc, 0xdad8, 0xd7d9, 0xd4e1,
- 0xd1ef, 0xcf04, 0xcc21, 0xc946, 0xc673, 0xc3a9, 0xc0e9, 0xbe32,
- 0xbb85, 0xb8e3, 0xb64c, 0xb3c0, 0xb140, 0xaecc, 0xac65, 0xaa0a,
- 0xa7bd, 0xa57e, 0xa34c, 0xa129, 0x9f14, 0x9d0e, 0x9b17, 0x9930,
- 0x9759, 0x9592, 0x93dc, 0x9236, 0x90a1, 0x8f1d, 0x8dab, 0x8c4a,
- 0x8afb, 0x89be, 0x8894, 0x877b, 0x8676, 0x8583, 0x84a3, 0x83d6,
- 0x831c, 0x8276, 0x81e2, 0x8163, 0x80f6, 0x809e, 0x8059, 0x8027,
- 0x800a, 0x8000, 0x800a, 0x8027, 0x8059, 0x809e, 0x80f6, 0x8163,
- 0x81e2, 0x8276, 0x831c, 0x83d6, 0x84a3, 0x8583, 0x8676, 0x877b,
- 0x8894, 0x89be, 0x8afb, 0x8c4a, 0x8dab, 0x8f1d, 0x90a1, 0x9236,
- 0x93dc, 0x9592, 0x9759, 0x9930, 0x9b17, 0x9d0e, 0x9f14, 0xa129,
- 0xa34c, 0xa57e, 0xa7bd, 0xaa0a, 0xac65, 0xaecc, 0xb140, 0xb3c0,
- 0xb64c, 0xb8e3, 0xbb85, 0xbe32, 0xc0e9, 0xc3a9, 0xc673, 0xc946,
- 0xcc21, 0xcf04, 0xd1ef, 0xd4e1, 0xd7d9, 0xdad8, 0xdddc, 0xe0e6,
- 0xe3f4, 0xe707, 0xea1e, 0xed38, 0xf055, 0xf374, 0xf695, 0xf9b8,
- 0xfcdc, 0x0, 0x324, 0x648, 0x96b, 0xc8c, 0xfab, 0x12c8,
- 0x15e2, 0x18f9, 0x1c0c, 0x1f1a, 0x2224, 0x2528, 0x2827, 0x2b1f,
- 0x2e11, 0x30fc, 0x33df, 0x36ba, 0x398d, 0x3c57, 0x3f17, 0x41ce,
- 0x447b, 0x471d, 0x49b4, 0x4c40, 0x4ec0, 0x5134, 0x539b, 0x55f6,
- 0x5843, 0x5a82, 0x5cb4, 0x5ed7, 0x60ec, 0x62f2, 0x64e9, 0x66d0,
- 0x68a7, 0x6a6e, 0x6c24, 0x6dca, 0x6f5f, 0x70e3, 0x7255, 0x73b6,
- 0x7505, 0x7642, 0x776c, 0x7885, 0x798a, 0x7a7d, 0x7b5d, 0x7c2a,
- 0x7ce4, 0x7d8a, 0x7e1e, 0x7e9d, 0x7f0a, 0x7f62, 0x7fa7, 0x7fd9,
- 0x7ff6, 0x7fff, 0x7ff6
-};
-
-
-/**
- * @brief Fast approximation to the trigonometric cosine function for Q15 data.
- * @param[in] x Scaled input value in radians.
- * @return cos(x).
- *
- * The Q15 input value is in the range [0 +0.9999] and is mapped to a radian
- * value in the range [0 2*pi).
- */
-
-q15_t arm_cos_q15(
- q15_t x)
-{
- q31_t cosVal; /* Temporary variable for output */
- q15_t *tablePtr; /* Pointer to table */
- q15_t in, in2; /* Temporary variables for input */
- q31_t wa, wb, wc, wd; /* Cubic interpolation coefficients */
- q15_t a, b, c, d; /* Four nearest output values */
- q15_t fract, fractCube, fractSquare; /* Variables for fractional value */
- q15_t oneBy6 = 0x1555; /* Fixed point value of 1/6 */
- q15_t tableSpacing = TABLE_SPACING_Q15; /* Table spacing */
- int32_t index; /* Index variable */
-
- in = x;
-
- /* Calculate the nearest index */
- index = (int32_t) in / tableSpacing;
-
- /* Calculate the nearest value of input */
- in2 = (q15_t) index *tableSpacing;
-
- /* Calculation of fractional value */
- fract = (in - in2) << 8;
-
- /* fractSquare = fract * fract */
- fractSquare = (q15_t) ((fract * fract) >> 15);
-
- /* fractCube = fract * fract * fract */
- fractCube = (q15_t) ((fractSquare * fract) >> 15);
-
- /* Checking min and max index of table */
- if(index < 0)
- {
- index = 0;
- }
- else if(index > 256)
- {
- index = 256;
- }
-
- /* Initialise table pointer */
- tablePtr = (q15_t *) & cosTableQ15[index];
-
- /* Cubic interpolation process */
- /* Calculation of wa */
- /* wa = -(oneBy6)*fractCube + (fractSquare >> 1u) - (0x2AAA)*fract; */
- wa = (q31_t) oneBy6 *fractCube;
- wa += (q31_t) 0x2AAA *fract;
- wa = -(wa >> 15);
- wa += (fractSquare >> 1u);
-
- /* Read first nearest value of output from the cos table */
- a = *tablePtr++;
-
- /* cosVal = a * wa */
- cosVal = a * wa;
-
- /* Calculation of wb */
- wb = (((fractCube >> 1u) - fractSquare) - (fract >> 1u)) + 0x7FFF;
-
- /* Read second nearest value of output from the cos table */
- b = *tablePtr++;
-
- /* cosVal += b*wb */
- cosVal += b * wb;
-
- /* Calculation of wc */
- wc = -(q31_t) fractCube + fractSquare;
- wc = (wc >> 1u) + fract;
-
- /* Read third nearest value of output from the cos table */
- c = *tablePtr++;
-
- /* cosVal += c*wc */
- cosVal += c * wc;
-
- /* Calculation of wd */
- /* wd = (oneBy6)*fractCube - (oneBy6)*fract; */
- fractCube = fractCube - fract;
- wd = ((q15_t) (((q31_t) oneBy6 * fractCube) >> 15));
-
- /* Read fourth nearest value of output from the cos table */
- d = *tablePtr++;
-
- /* cosVal += d*wd; */
- cosVal += d * wd;
-
- /* Convert output value in 1.15(q15) format and saturate */
- cosVal = __SSAT((cosVal >> 15), 16);
-
- /* Return the output value in 1.15(q15) format */
- return ((q15_t) cosVal);
-
-}
-
-/**
- * @} end of cos group
- */