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| 1 | /* ---------------------------------------------------------------------- |
1 | /* ---------------------------------------------------------------------- |
| 2 | * Copyright (C) 2010-2014 ARM Limited. All rights reserved. |
2 | * Copyright (C) 2010-2014 ARM Limited. All rights reserved. |
| 3 | * |
3 | * |
| 4 | * $Date: 19. March 2015 |
4 | * $Date: 21. September 2015 |
| 5 | * $Revision: V.1.4.5 |
5 | * $Revision: V.1.4.5 a |
| 6 | * |
6 | * |
| 7 | * Project: CMSIS DSP Library |
7 | * Project: CMSIS DSP Library |
| 8 | * Title: arm_cos_f32.c |
8 | * Title: arm_cos_f32.c |
| 9 | * |
9 | * |
| 10 | * Description: Fast cosine calculation for floating-point values. |
10 | * Description: Fast cosine calculation for floating-point values. |
| 11 | * |
11 | * |
| 12 | * Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 |
12 | * Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 |
| 13 | * |
13 | * |
| 14 | * Redistribution and use in source and binary forms, with or without |
14 | * Redistribution and use in source and binary forms, with or without |
| 15 | * modification, are permitted provided that the following conditions |
15 | * modification, are permitted provided that the following conditions |
| 16 | * are met: |
16 | * are met: |
| 17 | * - Redistributions of source code must retain the above copyright |
17 | * - Redistributions of source code must retain the above copyright |
| 18 | * notice, this list of conditions and the following disclaimer. |
18 | * notice, this list of conditions and the following disclaimer. |
| 19 | * - Redistributions in binary form must reproduce the above copyright |
19 | * - Redistributions in binary form must reproduce the above copyright |
| 20 | * notice, this list of conditions and the following disclaimer in |
20 | * notice, this list of conditions and the following disclaimer in |
| 21 | * the documentation and/or other materials provided with the |
21 | * the documentation and/or other materials provided with the |
| 22 | * distribution. |
22 | * distribution. |
| 23 | * - Neither the name of ARM LIMITED nor the names of its contributors |
23 | * - Neither the name of ARM LIMITED nor the names of its contributors |
| 24 | * may be used to endorse or promote products derived from this |
24 | * may be used to endorse or promote products derived from this |
| 25 | * software without specific prior written permission. |
25 | * software without specific prior written permission. |
| 26 | * |
26 | * |
| 27 | * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
27 | * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
| 28 | * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
28 | * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
| 29 | * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
29 | * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
| 30 | * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
30 | * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
| 31 | * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
31 | * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
| 32 | * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
32 | * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
| 33 | * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
33 | * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
| 34 | * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
34 | * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
| 35 | * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
35 | * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
| 36 | * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
36 | * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
| 37 | * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
37 | * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
| 38 | * POSSIBILITY OF SUCH DAMAGE. |
38 | * POSSIBILITY OF SUCH DAMAGE. |
| 39 | * -------------------------------------------------------------------- */ |
39 | * -------------------------------------------------------------------- */ |
| 40 | 40 | ||
| 41 | #include "arm_math.h" |
41 | #include "arm_math.h" |
| 42 | #include "arm_common_tables.h" |
42 | #include "arm_common_tables.h" |
| 43 | /** |
43 | /** |
| 44 | * @ingroup groupFastMath |
44 | * @ingroup groupFastMath |
| 45 | */ |
45 | */ |
| 46 | 46 | ||
| 47 | /** |
47 | /** |
| 48 | * @defgroup cos Cosine |
48 | * @defgroup cos Cosine |
| 49 | * |
49 | * |
| 50 | * Computes the trigonometric cosine function using a combination of table lookup |
50 | * Computes the trigonometric cosine function using a combination of table lookup |
| 51 | * and cubic interpolation. There are separate functions for |
51 | * and linear interpolation. There are separate functions for |
| 52 | * Q15, Q31, and floating-point data types. |
52 | * Q15, Q31, and floating-point data types. |
| 53 | * The input to the floating-point version is in radians while the |
53 | * The input to the floating-point version is in radians while the |
| 54 | * fixed-point Q15 and Q31 have a scaled input with the range |
54 | * fixed-point Q15 and Q31 have a scaled input with the range |
| 55 | * [0 +0.9999] mapping to [0 2*pi). The fixed-point range is chosen so that a |
55 | * [0 +0.9999] mapping to [0 2*pi). The fixed-point range is chosen so that a |
| 56 | * value of 2*pi wraps around to 0. |
56 | * value of 2*pi wraps around to 0. |
| 57 | * |
57 | * |
| 58 | * The implementation is based on table lookup using 256 values together with cubic interpolation. |
58 | * The implementation is based on table lookup using 256 values together with linear interpolation. |
| 59 | * The steps used are: |
59 | * The steps used are: |
| 60 | * -# Calculation of the nearest integer table index |
60 | * -# Calculation of the nearest integer table index |
| 61 | * -# Fetch the four table values a, b, c, and d |
- | |
| 62 | * -# Compute the fractional portion (fract) of the table index. |
61 | * -# Compute the fractional portion (fract) of the table index. |
| 63 | * -# Calculation of wa, wb, wc, wd |
- | |
| 64 | * -# The final result equals <code>a*wa + b*wb + c*wc + d*wd</code> |
62 | * -# The final result equals <code>(1.0f-fract)*a + fract*b;</code> |
| 65 | * |
63 | * |
| 66 | * where |
64 | * where |
| 67 | * <pre> |
65 | * <pre> |
| 68 | * a=Table[index-1]; |
- | |
| 69 | * b=Table[index+0]; |
66 | * b=Table[index+0]; |
| 70 | * c=Table[index+1]; |
67 | * c=Table[index+1]; |
| 71 | * d=Table[index+2]; |
- | |
| 72 | * </pre> |
68 | * </pre> |
| 73 | * and |
- | |
| 74 | * <pre> |
- | |
| 75 | * wa=-(1/6)*fract.^3 + (1/2)*fract.^2 - (1/3)*fract; |
- | |
| 76 | * wb=(1/2)*fract.^3 - fract.^2 - (1/2)*fract + 1; |
- | |
| 77 | * wc=-(1/2)*fract.^3+(1/2)*fract.^2+fract; |
- | |
| 78 | * wd=(1/6)*fract.^3 - (1/6)*fract; |
- | |
| 79 | * </pre> |
- | |
| 80 | */ |
69 | */ |
| 81 | 70 | ||
| 82 | /** |
71 | /** |
| 83 | * @addtogroup cos |
72 | * @addtogroup cos |
| 84 | * @{ |
73 | * @{ |
| 85 | */ |
74 | */ |
| 86 | 75 | ||
| 87 | /** |
76 | /** |
| 88 | * @brief Fast approximation to the trigonometric cosine function for floating-point data. |
77 | * @brief Fast approximation to the trigonometric cosine function for floating-point data. |
| 89 | * @param[in] x input value in radians. |
78 | * @param[in] x input value in radians. |
| 90 | * @return cos(x). |
79 | * @return cos(x). |
| 91 | */ |
80 | */ |
| 92 | 81 | ||
| 93 | float32_t arm_cos_f32( |
82 | float32_t arm_cos_f32( |
| 94 | float32_t x) |
83 | float32_t x) |
| 95 | { |
84 | { |
| Line 131... | Line 120... | ||
| 131 | 120 | ||
| 132 | /* Return the output value */ |
121 | /* Return the output value */ |
| 133 | return (cosVal); |
122 | return (cosVal); |
| 134 | } |
123 | } |
| 135 | 124 | ||
| 136 | /** |
125 | /** |
| 137 | * @} end of cos group |
126 | * @} end of cos group |
| 138 | */ |
127 | */ |