Subversion Repositories dashGPS

Rev

Go to most recent revision | Details | Last modification | View Log | RSS feed

Rev Author Line No. Line
2 mjames 1
/* ----------------------------------------------------------------------
2
 * Project:      CMSIS DSP Library
3
 * Title:        arm_sin_cos_q31.c
4
 * Description:  Cosine & Sine calculation for Q31 values
5
 *
6
 * $Date:        27. January 2017
7
 * $Revision:    V.1.5.1
8
 *
9
 * Target Processor: Cortex-M cores
10
 * -------------------------------------------------------------------- */
11
/*
12
 * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
13
 *
14
 * SPDX-License-Identifier: Apache-2.0
15
 *
16
 * Licensed under the Apache License, Version 2.0 (the License); you may
17
 * not use this file except in compliance with the License.
18
 * You may obtain a copy of the License at
19
 *
20
 * www.apache.org/licenses/LICENSE-2.0
21
 *
22
 * Unless required by applicable law or agreed to in writing, software
23
 * distributed under the License is distributed on an AS IS BASIS, WITHOUT
24
 * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
25
 * See the License for the specific language governing permissions and
26
 * limitations under the License.
27
 */
28
 
29
#include "arm_math.h"
30
#include "arm_common_tables.h"
31
 
32
/**
33
 * @ingroup groupController
34
 */
35
 
36
 /**
37
 * @addtogroup SinCos
38
 * @{
39
 */
40
 
41
/**
42
 * @brief  Q31 sin_cos function.
43
 * @param[in]  theta    scaled input value in degrees
44
 * @param[out] *pSinVal points to the processed sine output.
45
 * @param[out] *pCosVal points to the processed cosine output.
46
 * @return none.
47
 *
48
 * The Q31 input value is in the range [-1 0.999999] and is mapped to a degree value in the range [-180 179].
49
 *
50
 */
51
 
52
void arm_sin_cos_q31(
53
  q31_t theta,
54
  q31_t * pSinVal,
55
  q31_t * pCosVal)
56
{
57
  q31_t fract;                                 /* Temporary variables for input, output */
58
  uint16_t indexS, indexC;                     /* Index variable */
59
  q31_t f1, f2, d1, d2;                        /* Two nearest output values */
60
  q31_t Dn, Df;
61
  q63_t temp;
62
 
63
  /* Calculate the nearest index */
64
  indexS = (uint32_t)theta >> CONTROLLER_Q31_SHIFT;
65
  indexC = (indexS + 128) & 0x1ff;
66
 
67
  /* Calculation of fractional value */
68
  fract = (theta - (indexS << CONTROLLER_Q31_SHIFT)) << 8;
69
 
70
  /* Read two nearest values of input value from the cos & sin tables */
71
  f1 = sinTable_q31[indexC+0];
72
  f2 = sinTable_q31[indexC+1];
73
  d1 = -sinTable_q31[indexS+0];
74
  d2 = -sinTable_q31[indexS+1];
75
 
76
  Dn = 0x1921FB5; // delta between the two points (fixed), in this case 2*pi/FAST_MATH_TABLE_SIZE
77
  Df = f2 - f1; // delta between the values of the functions
78
  temp = Dn*((q63_t)d1 + d2);
79
  temp = temp - ((q63_t)Df << 32);
80
  temp = (q63_t)fract*(temp >> 31);
81
  temp = temp + ((3*(q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1))*Dn);
82
  temp = (q63_t)fract*(temp >> 31);
83
  temp = temp + (q63_t)d1*Dn;
84
  temp = (q63_t)fract*(temp >> 31);
85
 
86
  /* Calculation of cosine value */
87
  *pCosVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1);
88
 
89
  /* Read two nearest values of input value from the cos & sin tables */
90
  f1 = sinTable_q31[indexS+0];
91
  f2 = sinTable_q31[indexS+1];
92
  d1 = sinTable_q31[indexC+0];
93
  d2 = sinTable_q31[indexC+1];
94
 
95
  Df = f2 - f1; // delta between the values of the functions
96
  temp = Dn*((q63_t)d1 + d2);
97
  temp = temp - ((q63_t)Df << 32);
98
  temp = (q63_t)fract*(temp >> 31);
99
  temp = temp + ((3*(q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1))*Dn);
100
  temp = (q63_t)fract*(temp >> 31);
101
  temp = temp + (q63_t)d1*Dn;
102
  temp = (q63_t)fract*(temp >> 31);
103
 
104
  /* Calculation of sine value */
105
  *pSinVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1);
106
}
107
 
108
/**
109
 * @} end of SinCos group
110
 */