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1 /* ----------------------------------------------------------------------
2 * Copyright (C) 2010-2014 ARM Limited. All rights reserved.
3 *
4 * $Date: 19. March 2015
5 * $Revision: V.1.4.5
6 *
7 * Project: CMSIS DSP Library
8 * Title: arm_sin_q15.c
9 *
10 * Description: Fast sine calculation for Q15 values.
12 * Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
14 * Redistribution and use in source and binary forms, with or without
15 * modification, are permitted provided that the following conditions
16 * are met:
17 * - Redistributions of source code must retain the above copyright
18 * notice, this list of conditions and the following disclaimer.
19 * - Redistributions in binary form must reproduce the above copyright
20 * notice, this list of conditions and the following disclaimer in
21 * the documentation and/or other materials provided with the
22 * distribution.
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
25 * software without specific prior written permission.
27 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
28 * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
29 * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
30 * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
31 * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
32 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
33 * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
34 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
35 * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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
38 * POSSIBILITY OF SUCH DAMAGE.
39 * -------------------------------------------------------------------- */
41 #include "arm_math.h"
42 #include "arm_common_tables.h"
44 /**
45 * @ingroup groupFastMath
48 /**
49 * @addtogroup sin
50 * @{
53 /**
54 * @brief Fast approximation to the trigonometric sine function for Q15 data.
55 * @param[in] x Scaled input value in radians.
56 * @return sin(x).
58 * The Q15 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*pi).
61 q15_t arm_sin_q15(
62 q15_t x)
64 q15_t sinVal; /* Temporary variables for input, output */
65 int32_t index; /* Index variables */
66 q15_t a, b; /* Four nearest output values */
67 q15_t fract; /* Temporary values for fractional values */
69 /* Calculate the nearest index */
70 index = (uint32_t)x >> FAST_MATH_Q15_SHIFT;
72 /* Calculation of fractional value */
73 fract = (x - (index << FAST_MATH_Q15_SHIFT)) << 9;
75 /* Read two nearest values of input value from the sin table */
76 a = sinTable_q15[index];
77 b = sinTable_q15[index+1];
79 /* Linear interpolation process */
80 sinVal = (q31_t)(0x8000-fract)*a >> 16;
81 sinVal = (q15_t)((((q31_t)sinVal << 16) + ((q31_t)fract*b)) >> 16);
83 return sinVal << 1;
86 /**
87 * @} end of sin group