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/* ---------------------------------------------------------------------- |
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* Copyright (C) 2010-2014 ARM Limited. All rights reserved. |
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* |
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* $Date: 19. March 2015 |
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* $Revision: V.1.4.5 |
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* |
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* Project: CMSIS DSP Library |
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* Title: arm_sin_q31.c |
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* |
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* Description: Fast sine calculation for Q31 values. |
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* |
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* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 |
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* |
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* Redistribution and use in source and binary forms, with or without |
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* modification, are permitted provided that the following conditions |
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* are met: |
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* - Redistributions of source code must retain the above copyright |
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* notice, this list of conditions and the following disclaimer. |
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* - Redistributions in binary form must reproduce the above copyright |
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* notice, this list of conditions and the following disclaimer in |
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* the documentation and/or other materials provided with the |
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* distribution. |
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* - Neither the name of ARM LIMITED nor the names of its contributors |
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* may be used to endorse or promote products derived from this |
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* software without specific prior written permission. |
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* |
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
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* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
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* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
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* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
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* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
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* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
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* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
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* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
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* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
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* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
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* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
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* POSSIBILITY OF SUCH DAMAGE. |
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* -------------------------------------------------------------------- */ |
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#include "arm_math.h" |
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#include "arm_common_tables.h" |
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/** |
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* @ingroup groupFastMath |
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*/ |
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/** |
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* @addtogroup sin |
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* @{ |
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*/ |
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/** |
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* @brief Fast approximation to the trigonometric sine function for Q31 data. |
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* @param[in] x Scaled input value in radians. |
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* @return sin(x). |
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* |
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* The Q31 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*pi). */ |
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q31_t arm_sin_q31( |
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q31_t x) |
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{ |
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q31_t sinVal; /* Temporary variables for input, output */ |
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int32_t index; /* Index variables */ |
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q31_t a, b; /* Four nearest output values */ |
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q31_t fract; /* Temporary values for fractional values */ |
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/* Calculate the nearest index */ |
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index = (uint32_t)x >> FAST_MATH_Q31_SHIFT; |
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/* Calculation of fractional value */ |
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fract = (x - (index << FAST_MATH_Q31_SHIFT)) << 9; |
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/* Read two nearest values of input value from the sin table */ |
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a = sinTable_q31[index]; |
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b = sinTable_q31[index+1]; |
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/* Linear interpolation process */ |
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sinVal = (q63_t)(0x80000000-fract)*a >> 32; |
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sinVal = (q31_t)((((q63_t)sinVal << 32) + ((q63_t)fract*b)) >> 32); |
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return sinVal << 1; |
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} |
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/** |
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* @} end of sin group |
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*/ |