1 /* ----------------------------------------------------------------------
2  * Project:      CMSIS DSP Library
3  * Title:        arm_sin_cos_f32.c
4  * Description:  Sine and Cosine calculation for floating-point values
5  *
6  * $Date:        23 April 2021
7  * $Revision:    V1.9.0
8  *
9  * Target Processor: Cortex-M and Cortex-A cores
10  * -------------------------------------------------------------------- */
11 /*
12  * Copyright (C) 2010-2021 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 "dsp/controller_functions.h"
30 #include "arm_common_tables.h"
31 
32 /**
33   @addtogroup SinCos
34   @{
35  */
36 
37 /**
38   @brief         Floating-point sin_cos function.
39   @param[in]     theta    input value in degrees
40   @param[out]    pSinVal  points to processed sine output
41   @param[out]    pCosVal  points to processed cosine output
42   @return        none
43  */
44 
arm_sin_cos_f32(float32_t theta,float32_t * pSinVal,float32_t * pCosVal)45 void arm_sin_cos_f32(
46   float32_t theta,
47   float32_t * pSinVal,
48   float32_t * pCosVal)
49 {
50   float32_t fract, in;                             /* Temporary input, output variables */
51   uint16_t indexS, indexC;                         /* Index variable */
52   float32_t f1, f2, d1, d2;                        /* Two nearest output values */
53   float32_t Dn, Df;
54   float32_t temp, findex;
55 
56   /* input x is in degrees */
57   /* Scale input, divide input by 360, for cosine add 0.25 (pi/2) to read sine table */
58   in = theta * 0.00277777777778f;
59 
60   if (in < 0.0f)
61   {
62     in = -in;
63   }
64 
65   in = in - (int32_t)in;
66 
67   /* Calculate the nearest index */
68   findex = (float32_t)FAST_MATH_TABLE_SIZE * in;
69   indexS = ((uint16_t)findex) & 0x1ff;
70   indexC = (indexS + (FAST_MATH_TABLE_SIZE / 4)) & 0x1ff;
71 
72   /* Calculation of fractional value */
73   fract = findex - (float32_t) indexS;
74 
75   /* Read two nearest values of input value from the cos & sin tables */
76   f1 =  sinTable_f32[indexC  ];
77   f2 =  sinTable_f32[indexC+1];
78   d1 = -sinTable_f32[indexS  ];
79   d2 = -sinTable_f32[indexS+1];
80 
81   Dn = 0.0122718463030f; /* delta between the two points (fixed), in this case 2*pi/FAST_MATH_TABLE_SIZE */
82   Df = f2 - f1;          /* delta between the values of the functions */
83 
84   temp = Dn * (d1 + d2) - 2 * Df;
85   temp = fract * temp + (3 * Df - (d2 + 2 * d1) * Dn);
86   temp = fract * temp + d1 * Dn;
87 
88   /* Calculation of cosine value */
89   *pCosVal = fract * temp + f1;
90 
91   /* Read two nearest values of input value from the cos & sin tables */
92   f1 = sinTable_f32[indexS  ];
93   f2 = sinTable_f32[indexS+1];
94   d1 = sinTable_f32[indexC  ];
95   d2 = sinTable_f32[indexC+1];
96 
97 
98   Df = f2 - f1; // delta between the values of the functions
99   temp = Dn * (d1 + d2) - 2 * Df;
100   temp = fract * temp + (3 * Df - (d2 + 2 * d1) * Dn);
101   temp = fract * temp + d1 * Dn;
102 
103   /* Calculation of sine value */
104   *pSinVal = fract * temp + f1;
105 
106   if (theta < 0.0f)
107   {
108     *pSinVal = -*pSinVal;
109   }
110 }
111 
112 /**
113   @} end of SinCos group
114  */
115