arm_cos_q31.c

/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date:        07. September 2015
* $Revision:    V.1.4.5 a
*
* Project:      CMSIS DSP Library
* Title:        arm_cos_q31.c
*
* Description: Fast cosine 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
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*     notice, this list of conditions and the following disclaimer.
*   - Redistributions in binary form must reproduce the above copyright
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*     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
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* -------------------------------------------------------------------- */

#include "arm_math.h"
#include "arm_common_tables.h"

/**
 * @ingroup groupFastMath
 */

 /**
 * @addtogroup cos
 * @{
 */

/**
 * @brief Fast approximation to the trigonometric cosine function for Q31 data.
 * @param[in] x Scaled input value in radians.
 * @return  cos(x).
 *
 * The Q31 input value is in the range [0 +0.9999] and is mapped to a radian
 * value in the range [0 2*pi).
 */

q31_t arm_cos_q31(
  q31_t x)
{
  q31_t cosVal;                                  /* Temporary variables for input, output */
  int32_t index;                                 /* Index variables */
  q31_t a, b;                                    /* Four nearest output values */
  q31_t fract;                                   /* Temporary values for fractional values */

  /* add 0.25 (pi/2) to read sine table */
  x = (uint32_t)x + 0x20000000;
  if(x < 0)
  {   /* convert negative numbers to corresponding positive ones */
      x = (uint32_t)x + 0x80000000;
  }

  /* Calculate the nearest index */
  index = (uint32_t)x >> FAST_MATH_Q31_SHIFT;

  /* Calculation of fractional value */
  fract = (x - (index << FAST_MATH_Q31_SHIFT)) << 9;

  /* Read two nearest values of input value from the sin table */
  a = sinTable_q31[index];
  b = sinTable_q31[index+1];

  /* Linear interpolation process */
  cosVal = (q63_t)(0x80000000-fract)*a >> 32;
  cosVal = (q31_t)((((q63_t)cosVal << 32) + ((q63_t)fract*b)) >> 32);

  return cosVal << 1;
}

/**
 * @} end of cos group
 */