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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 | */ |