Official ARM version: v5.6.0
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@ -3,13 +3,13 @@
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* Title: arm_sin_f32.c
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* Description: Fast sine calculation for floating-point values
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*
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* $Date: 27. January 2017
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* $Revision: V.1.5.1
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* $Date: 18. March 2019
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* $Revision: V1.6.0
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*
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* Target Processor: Cortex-M cores
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* -------------------------------------------------------------------- */
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/*
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* Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
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* Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
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*
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* SPDX-License-Identifier: Apache-2.0
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*
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@ -28,70 +28,64 @@
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#include "arm_math.h"
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#include "arm_common_tables.h"
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#include <math.h>
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/**
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* @ingroup groupFastMath
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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 linear 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 and in the range [0 2*pi) 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 linear interpolation.
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* The steps used are:
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* -# Calculation of the nearest integer table index
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* -# Compute the fractional portion (fract) of the table index.
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* -# The final result equals <code>(1.0f-fract)*a + fract*b;</code>
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*
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* where
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* <pre>
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* b=Table[index+0];
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* c=Table[index+1];
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* </pre>
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@defgroup sin Sine
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Computes the trigonometric sine function using a combination of table lookup
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and linear 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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The implementation is based on table lookup using 256 values together with linear interpolation.
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The steps used are:
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-# Calculation of the nearest integer table index
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-# Compute the fractional portion (fract) of the table index.
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-# The final result equals <code>(1.0f-fract)*a + fract*b;</code>
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where
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<pre>
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b = Table[index];
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c = Table[index+1];
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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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@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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@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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float32_t sinVal, fract, in; /* Temporary input, output variables */
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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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/* Special case for small negative inputs */
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if ((x < 0.0f) && (x >= -1.9e-7f)) {
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return x;
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}
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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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/* Scale 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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if (in < 0.0f)
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{
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n--;
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}
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@ -100,9 +94,14 @@ float32_t arm_sin_f32(
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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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findex = (float32_t)FAST_MATH_TABLE_SIZE * in;
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index = (uint16_t)findex;
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index = ((uint16_t)findex) & 0x1ff;
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/* when "in" is exactly 1, we need to rotate the index down to 0 */
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if (index >= FAST_MATH_TABLE_SIZE) {
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index = 0;
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findex -= (float32_t)FAST_MATH_TABLE_SIZE;
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}
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/* fractional value calculation */
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fract = findex - (float32_t) index;
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@ -112,12 +111,12 @@ float32_t arm_sin_f32(
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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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sinVal = (1.0f - fract) * a + fract * b;
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/* Return the output value */
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/* Return 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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@} end of sin group
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*/
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