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2 | mjames | 1 | /* ---------------------------------------------------------------------- |
2 | * Project: CMSIS DSP Library |
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3 | * Title: arm_sin_cos_q31.c |
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4 | * Description: Cosine & Sine calculation for Q31 values |
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5 | * |
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6 | * $Date: 27. January 2017 |
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7 | * $Revision: V.1.5.1 |
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8 | * |
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9 | * Target Processor: Cortex-M cores |
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10 | * -------------------------------------------------------------------- */ |
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11 | /* |
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12 | * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. |
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13 | * |
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14 | * SPDX-License-Identifier: Apache-2.0 |
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15 | * |
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16 | * Licensed under the Apache License, Version 2.0 (the License); you may |
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17 | * not use this file except in compliance with the License. |
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18 | * You may obtain a copy of the License at |
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19 | * |
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20 | * www.apache.org/licenses/LICENSE-2.0 |
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21 | * |
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22 | * Unless required by applicable law or agreed to in writing, software |
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23 | * distributed under the License is distributed on an AS IS BASIS, WITHOUT |
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24 | * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. |
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25 | * See the License for the specific language governing permissions and |
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26 | * limitations under the License. |
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27 | */ |
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28 | |||
29 | #include "arm_math.h" |
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30 | #include "arm_common_tables.h" |
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31 | |||
32 | /** |
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33 | * @ingroup groupController |
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34 | */ |
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35 | |||
36 | /** |
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37 | * @addtogroup SinCos |
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38 | * @{ |
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39 | */ |
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40 | |||
41 | /** |
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42 | * @brief Q31 sin_cos function. |
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43 | * @param[in] theta scaled input value in degrees |
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44 | * @param[out] *pSinVal points to the processed sine output. |
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45 | * @param[out] *pCosVal points to the processed cosine output. |
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46 | * @return none. |
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47 | * |
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48 | * The Q31 input value is in the range [-1 0.999999] and is mapped to a degree value in the range [-180 179]. |
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49 | * |
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50 | */ |
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51 | |||
52 | void arm_sin_cos_q31( |
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53 | q31_t theta, |
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54 | q31_t * pSinVal, |
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55 | q31_t * pCosVal) |
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56 | { |
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57 | q31_t fract; /* Temporary variables for input, output */ |
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58 | uint16_t indexS, indexC; /* Index variable */ |
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59 | q31_t f1, f2, d1, d2; /* Two nearest output values */ |
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60 | q31_t Dn, Df; |
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61 | q63_t temp; |
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62 | |||
63 | /* Calculate the nearest index */ |
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64 | indexS = (uint32_t)theta >> CONTROLLER_Q31_SHIFT; |
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65 | indexC = (indexS + 128) & 0x1ff; |
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66 | |||
67 | /* Calculation of fractional value */ |
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68 | fract = (theta - (indexS << CONTROLLER_Q31_SHIFT)) << 8; |
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69 | |||
70 | /* Read two nearest values of input value from the cos & sin tables */ |
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71 | f1 = sinTable_q31[indexC+0]; |
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72 | f2 = sinTable_q31[indexC+1]; |
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73 | d1 = -sinTable_q31[indexS+0]; |
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74 | d2 = -sinTable_q31[indexS+1]; |
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75 | |||
76 | Dn = 0x1921FB5; // delta between the two points (fixed), in this case 2*pi/FAST_MATH_TABLE_SIZE |
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77 | Df = f2 - f1; // delta between the values of the functions |
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78 | temp = Dn*((q63_t)d1 + d2); |
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79 | temp = temp - ((q63_t)Df << 32); |
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80 | temp = (q63_t)fract*(temp >> 31); |
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81 | temp = temp + ((3*(q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1))*Dn); |
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82 | temp = (q63_t)fract*(temp >> 31); |
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83 | temp = temp + (q63_t)d1*Dn; |
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84 | temp = (q63_t)fract*(temp >> 31); |
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85 | |||
86 | /* Calculation of cosine value */ |
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87 | *pCosVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1); |
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88 | |||
89 | /* Read two nearest values of input value from the cos & sin tables */ |
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90 | f1 = sinTable_q31[indexS+0]; |
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91 | f2 = sinTable_q31[indexS+1]; |
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92 | d1 = sinTable_q31[indexC+0]; |
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93 | d2 = sinTable_q31[indexC+1]; |
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94 | |||
95 | Df = f2 - f1; // delta between the values of the functions |
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96 | temp = Dn*((q63_t)d1 + d2); |
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97 | temp = temp - ((q63_t)Df << 32); |
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98 | temp = (q63_t)fract*(temp >> 31); |
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99 | temp = temp + ((3*(q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1))*Dn); |
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100 | temp = (q63_t)fract*(temp >> 31); |
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101 | temp = temp + (q63_t)d1*Dn; |
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102 | temp = (q63_t)fract*(temp >> 31); |
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103 | |||
104 | /* Calculation of sine value */ |
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105 | *pSinVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1); |
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106 | } |
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107 | |||
108 | /** |
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109 | * @} end of SinCos group |
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110 | */ |