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/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 12. March 2014
* $Revision: V1.4.4
*
* Project: CMSIS DSP Library
* Title: arm_sin_cos_q31.c
*
* Description: Cosine & Sine calculation for Q31 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"
#include "arm_common_tables.h"
/**
* @ingroup groupController
*/
/**
* @addtogroup SinCos
* @{
*/
/**
* @brief Q31 sin_cos function.
* @param[in] theta scaled input value in degrees
* @param[out] *pSinVal points to the processed sine output.
* @param[out] *pCosVal points to the processed cosine output.
* @return none.
*
* The Q31 input value is in the range [-1 0.999999] and is mapped to a degree value in the range [-180 179].
*
*/
void arm_sin_cos_q31(
q31_t theta,
q31_t * pSinVal,
q31_t * pCosVal)
{
q31_t fract; /* Temporary variables for input, output */
uint16_t indexS, indexC; /* Index variable */
q31_t f1, f2, d1, d2; /* Two nearest output values */
q31_t Dn, Df;
q63_t temp;
/* Calculate the nearest index */
indexS = (uint32_t)theta >> CONTROLLER_Q31_SHIFT;
indexC = (indexS + 128) & 0x1ff;
/* Calculation of fractional value */
fract = (theta - (indexS << CONTROLLER_Q31_SHIFT)) << 8;
/* Read two nearest values of input value from the cos & sin tables */
f1 = sinTable_q31[indexC+0];
f2 = sinTable_q31[indexC+1];
d1 = -sinTable_q31[indexS+0];
d2 = -sinTable_q31[indexS+1];
Dn = 0x1921FB5; // delta between the two points (fixed), in this case 2*pi/FAST_MATH_TABLE_SIZE
Df = f2 - f1; // delta between the values of the functions
temp = Dn*((q63_t)d1 + d2);
temp = temp - ((q63_t)Df << 32);
temp = (q63_t)fract*(temp >> 31);
temp = temp + ((3*(q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1))*Dn);
temp = (q63_t)fract*(temp >> 31);
temp = temp + (q63_t)d1*Dn;
temp = (q63_t)fract*(temp >> 31);
/* Calculation of cosine value */
*pCosVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1);
/* Read two nearest values of input value from the cos & sin tables */
f1 = sinTable_q31[indexS+0];
f2 = sinTable_q31[indexS+1];
d1 = sinTable_q31[indexC+0];
d2 = sinTable_q31[indexC+1];
Df = f2 - f1; // delta between the values of the functions
temp = Dn*((q63_t)d1 + d2);
temp = temp - ((q63_t)Df << 32);
temp = (q63_t)fract*(temp >> 31);
temp = temp + ((3*(q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1))*Dn);
temp = (q63_t)fract*(temp >> 31);
temp = temp + (q63_t)d1*Dn;
temp = (q63_t)fract*(temp >> 31);
/* Calculation of sine value */
*pSinVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1);
}
/**
* @} end of SinCos group
*/
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