| /* ---------------------------------------------------------------------- |
| * Project: CMSIS DSP Library |
| * Title: arm_cos_q31.c |
| * Description: Fast cosine calculation for Q31 values |
| * |
| * $Date: 18. March 2019 |
| * $Revision: V1.6.0 |
| * |
| * Target Processor: Cortex-M cores |
| * -------------------------------------------------------------------- */ |
| /* |
| * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved. |
| * |
| * SPDX-License-Identifier: Apache-2.0 |
| * |
| * Licensed under the Apache License, Version 2.0 (the License); you may |
| * not use this file except in compliance with the License. |
| * You may obtain a copy of the License at |
| * |
| * www.apache.org/licenses/LICENSE-2.0 |
| * |
| * Unless required by applicable law or agreed to in writing, software |
| * distributed under the License is distributed on an AS IS BASIS, WITHOUT |
| * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. |
| * See the License for the specific language governing permissions and |
| * limitations under the License. |
| */ |
| |
| #include "arm_math.h" |
| #include "arm_common_tables.h" |
| |
| /** |
| @ingroup groupFastMath |
| */ |
| |
| /** |
| @addtogroup cos |
| @{ |
| */ |
| |
| /** |
| @brief Fast approximation to the trigonometric cosine function for Q31 data. |
| @param[in] x Scaled input value in radians |
| @return cos(x) |
| |
| The Q31 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*PI). |
| */ |
| |
| q31_t arm_cos_q31( |
| q31_t x) |
| { |
| q31_t cosVal; /* Temporary input, output variables */ |
| int32_t index; /* Index variable */ |
| q31_t a, b; /* Two nearest output values */ |
| q31_t fract; /* Temporary values for fractional values */ |
| |
| /* add 0.25 (pi/2) to read sine table */ |
| x = (uint32_t)x + 0x20000000; |
| if (x < 0) |
| { /* convert negative numbers to corresponding positive ones */ |
| x = (uint32_t)x + 0x80000000; |
| } |
| |
| /* Calculate the nearest index */ |
| index = (uint32_t)x >> FAST_MATH_Q31_SHIFT; |
| |
| /* Calculation of fractional value */ |
| fract = (x - (index << FAST_MATH_Q31_SHIFT)) << 9; |
| |
| /* Read two nearest values of input value from the sin table */ |
| a = sinTable_q31[index]; |
| b = sinTable_q31[index+1]; |
| |
| /* Linear interpolation process */ |
| cosVal = (q63_t) (0x80000000 - fract) * a >> 32; |
| cosVal = (q31_t) ((((q63_t) cosVal << 32) + ((q63_t) fract * b)) >> 32); |
| |
| /* Return output value */ |
| return (cosVal << 1); |
| } |
| |
| /** |
| @} end of cos group |
| */ |