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139 lines
4.7 KiB
139 lines
4.7 KiB
/* ----------------------------------------------------------------------
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* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
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*
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* $Date: 12. March 2014
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* $Revision: V1.4.4
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*
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* Project: CMSIS DSP Library
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* Title: arm_sin_f32.c
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*
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* Description: Fast sine calculation for floating-point values.
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*
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* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* - Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* - Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in
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* the documentation and/or other materials provided with the
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* distribution.
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* - Neither the name of ARM LIMITED nor the names of its contributors
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* may be used to endorse or promote products derived from this
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* software without specific prior written permission.
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*
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
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* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
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* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
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* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
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* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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* POSSIBILITY OF SUCH DAMAGE.
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* -------------------------------------------------------------------- */
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#include "arm_math.h"
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#include "arm_common_tables.h"
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/**
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* @ingroup groupFastMath
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*/
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/**
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* @defgroup sin Sine
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*
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* Computes the trigonometric sine function using a combination of table lookup
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* and cubic interpolation. There are separate functions for
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* Q15, Q31, and floating-point data types.
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* The input to the floating-point version is in radians while the
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* fixed-point Q15 and Q31 have a scaled input with the range
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* [0 +0.9999] mapping to [0 2*pi). The fixed-point range is chosen so that a
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* value of 2*pi wraps around to 0.
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*
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* The implementation is based on table lookup using 256 values together with cubic interpolation.
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* The steps used are:
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* -# Calculation of the nearest integer table index
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* -# Fetch the four table values a, b, c, and d
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* -# Compute the fractional portion (fract) of the table index.
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* -# Calculation of wa, wb, wc, wd
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* -# The final result equals <code>a*wa + b*wb + c*wc + d*wd</code>
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*
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* where
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* <pre>
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* a=Table[index-1];
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* b=Table[index+0];
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* c=Table[index+1];
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* d=Table[index+2];
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* </pre>
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* and
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* <pre>
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* wa=-(1/6)*fract.^3 + (1/2)*fract.^2 - (1/3)*fract;
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* wb=(1/2)*fract.^3 - fract.^2 - (1/2)*fract + 1;
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* wc=-(1/2)*fract.^3+(1/2)*fract.^2+fract;
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* wd=(1/6)*fract.^3 - (1/6)*fract;
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* </pre>
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*/
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/**
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* @addtogroup sin
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* @{
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*/
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/**
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* @brief Fast approximation to the trigonometric sine function for floating-point data.
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* @param[in] x input value in radians.
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* @return sin(x).
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*/
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float32_t arm_sin_f32(
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float32_t x)
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{
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float32_t sinVal, fract, in; /* Temporary variables for input, output */
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uint16_t index; /* Index variable */
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float32_t a, b; /* Two nearest output values */
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int32_t n;
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float32_t findex;
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/* input x is in radians */
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/* Scale the input to [0 1] range from [0 2*PI] , divide input by 2*pi */
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in = x * 0.159154943092f;
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/* Calculation of floor value of input */
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n = (int32_t) in;
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/* Make negative values towards -infinity */
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if(x < 0.0f)
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{
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n--;
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}
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/* Map input value to [0 1] */
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in = in - (float32_t) n;
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/* Calculation of index of the table */
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findex = (float32_t) FAST_MATH_TABLE_SIZE * in;
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index = ((uint16_t)findex) & 0x1ff;
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/* fractional value calculation */
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fract = findex - (float32_t) index;
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/* Read two nearest values of input value from the sin table */
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a = sinTable_f32[index];
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b = sinTable_f32[index+1];
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/* Linear interpolation process */
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sinVal = (1.0f-fract)*a + fract*b;
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/* Return the output value */
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return (sinVal);
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}
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/**
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* @} end of sin group
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*/
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