Dependencies: platform_drivers LTC26X6 AD77681
CMSIS-DSP_Lib/Source/FastMathFunctions/arm_sin_f32.c@1:9dd7c64b4a64, 2021-12-06 (annotated)
- Committer:
- jngarlitos
- Date:
- Mon Dec 06 05:22:28 2021 +0000
- Revision:
- 1:9dd7c64b4a64
EVAL-CN0540-ARDZ mbed example program Initial Commit
Who changed what in which revision?
User | Revision | Line number | New contents of line |
---|---|---|---|
jngarlitos | 1:9dd7c64b4a64 | 1 | /* ---------------------------------------------------------------------- |
jngarlitos | 1:9dd7c64b4a64 | 2 | * Copyright (C) 2010-2014 ARM Limited. All rights reserved. |
jngarlitos | 1:9dd7c64b4a64 | 3 | * |
jngarlitos | 1:9dd7c64b4a64 | 4 | * $Date: 21. September 2015 |
jngarlitos | 1:9dd7c64b4a64 | 5 | * $Revision: V.1.4.5 a |
jngarlitos | 1:9dd7c64b4a64 | 6 | * |
jngarlitos | 1:9dd7c64b4a64 | 7 | * Project: CMSIS DSP Library |
jngarlitos | 1:9dd7c64b4a64 | 8 | * Title: arm_sin_f32.c |
jngarlitos | 1:9dd7c64b4a64 | 9 | * |
jngarlitos | 1:9dd7c64b4a64 | 10 | * Description: Fast sine calculation for floating-point values. |
jngarlitos | 1:9dd7c64b4a64 | 11 | * |
jngarlitos | 1:9dd7c64b4a64 | 12 | * Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 |
jngarlitos | 1:9dd7c64b4a64 | 13 | * |
jngarlitos | 1:9dd7c64b4a64 | 14 | * Redistribution and use in source and binary forms, with or without |
jngarlitos | 1:9dd7c64b4a64 | 15 | * modification, are permitted provided that the following conditions |
jngarlitos | 1:9dd7c64b4a64 | 16 | * are met: |
jngarlitos | 1:9dd7c64b4a64 | 17 | * - Redistributions of source code must retain the above copyright |
jngarlitos | 1:9dd7c64b4a64 | 18 | * notice, this list of conditions and the following disclaimer. |
jngarlitos | 1:9dd7c64b4a64 | 19 | * - Redistributions in binary form must reproduce the above copyright |
jngarlitos | 1:9dd7c64b4a64 | 20 | * notice, this list of conditions and the following disclaimer in |
jngarlitos | 1:9dd7c64b4a64 | 21 | * the documentation and/or other materials provided with the |
jngarlitos | 1:9dd7c64b4a64 | 22 | * distribution. |
jngarlitos | 1:9dd7c64b4a64 | 23 | * - Neither the name of ARM LIMITED nor the names of its contributors |
jngarlitos | 1:9dd7c64b4a64 | 24 | * may be used to endorse or promote products derived from this |
jngarlitos | 1:9dd7c64b4a64 | 25 | * software without specific prior written permission. |
jngarlitos | 1:9dd7c64b4a64 | 26 | * |
jngarlitos | 1:9dd7c64b4a64 | 27 | * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
jngarlitos | 1:9dd7c64b4a64 | 28 | * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
jngarlitos | 1:9dd7c64b4a64 | 29 | * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
jngarlitos | 1:9dd7c64b4a64 | 30 | * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
jngarlitos | 1:9dd7c64b4a64 | 31 | * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
jngarlitos | 1:9dd7c64b4a64 | 32 | * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
jngarlitos | 1:9dd7c64b4a64 | 33 | * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
jngarlitos | 1:9dd7c64b4a64 | 34 | * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
jngarlitos | 1:9dd7c64b4a64 | 35 | * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
jngarlitos | 1:9dd7c64b4a64 | 36 | * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
jngarlitos | 1:9dd7c64b4a64 | 37 | * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
jngarlitos | 1:9dd7c64b4a64 | 38 | * POSSIBILITY OF SUCH DAMAGE. |
jngarlitos | 1:9dd7c64b4a64 | 39 | * -------------------------------------------------------------------- */ |
jngarlitos | 1:9dd7c64b4a64 | 40 | |
jngarlitos | 1:9dd7c64b4a64 | 41 | #include "arm_math.h" |
jngarlitos | 1:9dd7c64b4a64 | 42 | #include "arm_common_tables.h" |
jngarlitos | 1:9dd7c64b4a64 | 43 | #include <math.h> |
jngarlitos | 1:9dd7c64b4a64 | 44 | |
jngarlitos | 1:9dd7c64b4a64 | 45 | /** |
jngarlitos | 1:9dd7c64b4a64 | 46 | * @ingroup groupFastMath |
jngarlitos | 1:9dd7c64b4a64 | 47 | */ |
jngarlitos | 1:9dd7c64b4a64 | 48 | |
jngarlitos | 1:9dd7c64b4a64 | 49 | /** |
jngarlitos | 1:9dd7c64b4a64 | 50 | * @defgroup sin Sine |
jngarlitos | 1:9dd7c64b4a64 | 51 | * |
jngarlitos | 1:9dd7c64b4a64 | 52 | * Computes the trigonometric sine function using a combination of table lookup |
jngarlitos | 1:9dd7c64b4a64 | 53 | * and linear interpolation. There are separate functions for |
jngarlitos | 1:9dd7c64b4a64 | 54 | * Q15, Q31, and floating-point data types. |
jngarlitos | 1:9dd7c64b4a64 | 55 | * The input to the floating-point version is in radians while the |
jngarlitos | 1:9dd7c64b4a64 | 56 | * fixed-point Q15 and Q31 have a scaled input with the range |
jngarlitos | 1:9dd7c64b4a64 | 57 | * [0 +0.9999] mapping to [0 2*pi). The fixed-point range is chosen so that a |
jngarlitos | 1:9dd7c64b4a64 | 58 | * value of 2*pi wraps around to 0. |
jngarlitos | 1:9dd7c64b4a64 | 59 | * |
jngarlitos | 1:9dd7c64b4a64 | 60 | * The implementation is based on table lookup using 256 values together with linear interpolation. |
jngarlitos | 1:9dd7c64b4a64 | 61 | * The steps used are: |
jngarlitos | 1:9dd7c64b4a64 | 62 | * -# Calculation of the nearest integer table index |
jngarlitos | 1:9dd7c64b4a64 | 63 | * -# Compute the fractional portion (fract) of the table index. |
jngarlitos | 1:9dd7c64b4a64 | 64 | * -# The final result equals <code>(1.0f-fract)*a + fract*b;</code> |
jngarlitos | 1:9dd7c64b4a64 | 65 | * |
jngarlitos | 1:9dd7c64b4a64 | 66 | * where |
jngarlitos | 1:9dd7c64b4a64 | 67 | * <pre> |
jngarlitos | 1:9dd7c64b4a64 | 68 | * b=Table[index+0]; |
jngarlitos | 1:9dd7c64b4a64 | 69 | * c=Table[index+1]; |
jngarlitos | 1:9dd7c64b4a64 | 70 | * </pre> |
jngarlitos | 1:9dd7c64b4a64 | 71 | */ |
jngarlitos | 1:9dd7c64b4a64 | 72 | |
jngarlitos | 1:9dd7c64b4a64 | 73 | /** |
jngarlitos | 1:9dd7c64b4a64 | 74 | * @addtogroup sin |
jngarlitos | 1:9dd7c64b4a64 | 75 | * @{ |
jngarlitos | 1:9dd7c64b4a64 | 76 | */ |
jngarlitos | 1:9dd7c64b4a64 | 77 | |
jngarlitos | 1:9dd7c64b4a64 | 78 | /** |
jngarlitos | 1:9dd7c64b4a64 | 79 | * @brief Fast approximation to the trigonometric sine function for floating-point data. |
jngarlitos | 1:9dd7c64b4a64 | 80 | * @param[in] x input value in radians. |
jngarlitos | 1:9dd7c64b4a64 | 81 | * @return sin(x). |
jngarlitos | 1:9dd7c64b4a64 | 82 | */ |
jngarlitos | 1:9dd7c64b4a64 | 83 | |
jngarlitos | 1:9dd7c64b4a64 | 84 | float32_t arm_sin_f32( |
jngarlitos | 1:9dd7c64b4a64 | 85 | float32_t x) |
jngarlitos | 1:9dd7c64b4a64 | 86 | { |
jngarlitos | 1:9dd7c64b4a64 | 87 | float32_t sinVal, fract, in; /* Temporary variables for input, output */ |
jngarlitos | 1:9dd7c64b4a64 | 88 | uint16_t index; /* Index variable */ |
jngarlitos | 1:9dd7c64b4a64 | 89 | float32_t a, b; /* Two nearest output values */ |
jngarlitos | 1:9dd7c64b4a64 | 90 | int32_t n; |
jngarlitos | 1:9dd7c64b4a64 | 91 | float32_t findex; |
jngarlitos | 1:9dd7c64b4a64 | 92 | |
jngarlitos | 1:9dd7c64b4a64 | 93 | /* input x is in radians */ |
jngarlitos | 1:9dd7c64b4a64 | 94 | /* Scale the input to [0 1] range from [0 2*PI] , divide input by 2*pi */ |
jngarlitos | 1:9dd7c64b4a64 | 95 | in = x * 0.159154943092f; |
jngarlitos | 1:9dd7c64b4a64 | 96 | |
jngarlitos | 1:9dd7c64b4a64 | 97 | /* Calculation of floor value of input */ |
jngarlitos | 1:9dd7c64b4a64 | 98 | n = (int32_t) in; |
jngarlitos | 1:9dd7c64b4a64 | 99 | |
jngarlitos | 1:9dd7c64b4a64 | 100 | /* Make negative values towards -infinity */ |
jngarlitos | 1:9dd7c64b4a64 | 101 | if(x < 0.0f) |
jngarlitos | 1:9dd7c64b4a64 | 102 | { |
jngarlitos | 1:9dd7c64b4a64 | 103 | n--; |
jngarlitos | 1:9dd7c64b4a64 | 104 | } |
jngarlitos | 1:9dd7c64b4a64 | 105 | |
jngarlitos | 1:9dd7c64b4a64 | 106 | /* Map input value to [0 1] */ |
jngarlitos | 1:9dd7c64b4a64 | 107 | in = in - (float32_t) n; |
jngarlitos | 1:9dd7c64b4a64 | 108 | |
jngarlitos | 1:9dd7c64b4a64 | 109 | /* Calculation of index of the table */ |
jngarlitos | 1:9dd7c64b4a64 | 110 | findex = (float32_t) FAST_MATH_TABLE_SIZE * in; |
jngarlitos | 1:9dd7c64b4a64 | 111 | if (findex >= 512.0f) { |
jngarlitos | 1:9dd7c64b4a64 | 112 | findex -= 512.0f; |
jngarlitos | 1:9dd7c64b4a64 | 113 | } |
jngarlitos | 1:9dd7c64b4a64 | 114 | |
jngarlitos | 1:9dd7c64b4a64 | 115 | index = ((uint16_t)findex) & 0x1ff; |
jngarlitos | 1:9dd7c64b4a64 | 116 | |
jngarlitos | 1:9dd7c64b4a64 | 117 | /* fractional value calculation */ |
jngarlitos | 1:9dd7c64b4a64 | 118 | fract = findex - (float32_t) index; |
jngarlitos | 1:9dd7c64b4a64 | 119 | |
jngarlitos | 1:9dd7c64b4a64 | 120 | /* Read two nearest values of input value from the sin table */ |
jngarlitos | 1:9dd7c64b4a64 | 121 | a = sinTable_f32[index]; |
jngarlitos | 1:9dd7c64b4a64 | 122 | b = sinTable_f32[index+1]; |
jngarlitos | 1:9dd7c64b4a64 | 123 | |
jngarlitos | 1:9dd7c64b4a64 | 124 | /* Linear interpolation process */ |
jngarlitos | 1:9dd7c64b4a64 | 125 | sinVal = (1.0f-fract)*a + fract*b; |
jngarlitos | 1:9dd7c64b4a64 | 126 | |
jngarlitos | 1:9dd7c64b4a64 | 127 | /* Return the output value */ |
jngarlitos | 1:9dd7c64b4a64 | 128 | return (sinVal); |
jngarlitos | 1:9dd7c64b4a64 | 129 | } |
jngarlitos | 1:9dd7c64b4a64 | 130 | |
jngarlitos | 1:9dd7c64b4a64 | 131 | /** |
jngarlitos | 1:9dd7c64b4a64 | 132 | * @} end of sin group |
jngarlitos | 1:9dd7c64b4a64 | 133 | */ |