/* ---------------------------------------------------------------------- * Copyright (C) 2010-2012 ARM Limited. All rights reserved. * * $Date: 17. January 2013 * $Revision: V1.4.0 * * Project: CMSIS DSP Library * * Title: math_helper.c * * Description: Definition of all helper functions required. * * Target Processor: Cortex-M4/Cortex-M3 * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * - Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * - Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in * the documentation and/or other materials provided with the * distribution. * - Neither the name of ARM LIMITED nor the names of its contributors * may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * -------------------------------------------------------------------- */ /* ---------------------------------------------------------------------- * Include standard header files * -------------------------------------------------------------------- */ #include /* ---------------------------------------------------------------------- * Include project header files * -------------------------------------------------------------------- */ #include "math_helper.h" /** * @brief Caluclation of SNR * @param float* Pointer to the reference buffer * @param float* Pointer to the test buffer * @param uint32_t total number of samples * @return float SNR * The function Caluclates signal to noise ratio for the reference output * and test output */ float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize) { float EnergySignal = 0.0, EnergyError = 0.0; uint32_t i; float SNR; int temp; int *test; for (i = 0; i < buffSize; i++) { /* Checking for a NAN value in pRef array */ test = (int *)(&pRef[i]); temp = *test; if(temp == 0x7FC00000) { return(0); } /* Checking for a NAN value in pTest array */ test = (int *)(&pTest[i]); temp = *test; if(temp == 0x7FC00000) { return(0); } EnergySignal += pRef[i] * pRef[i]; EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]); } /* Checking for a NAN value in EnergyError */ test = (int *)(&EnergyError); temp = *test; if(temp == 0x7FC00000) { return(0); } SNR = 10 * log10 (EnergySignal / EnergyError); return (SNR); } /** * @brief Provide guard bits for Input buffer * @param q15_t* Pointer to input buffer * @param uint32_t blockSize * @param uint32_t guard_bits * @return none * The function Provides the guard bits for the buffer * to avoid overflow */ void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize, uint32_t guard_bits) { uint32_t i; for (i = 0; i < blockSize; i++) { input_buf[i] = input_buf[i] >> guard_bits; } } /** * @brief Converts float to fixed in q12.20 format * @param uint32_t number of samples in the buffer * @return none * The function converts floating point values to fixed point(q12.20) values */ void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples) { uint32_t i; for (i = 0; i < numSamples; i++) { /* 1048576.0f corresponds to pow(2, 20) */ pOut[i] = (q31_t) (pIn[i] * 1048576.0f); pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; if (pIn[i] == (float) 1.0) { pOut[i] = 0x000FFFFF; } } } /** * @brief Compare MATLAB Reference Output and ARM Test output * @param q15_t* Pointer to Ref buffer * @param q15_t* Pointer to Test buffer * @param uint32_t number of samples in the buffer * @return none */ uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples) { uint32_t i; int32_t diff, diffCrnt = 0; uint32_t maxDiff = 0; for (i = 0; i < numSamples; i++) { diff = pIn[i] - pOut[i]; diffCrnt = (diff > 0) ? diff : -diff; if(diffCrnt > maxDiff) { maxDiff = diffCrnt; } } return(maxDiff); } /** * @brief Compare MATLAB Reference Output and ARM Test output * @param q31_t* Pointer to Ref buffer * @param q31_t* Pointer to Test buffer * @param uint32_t number of samples in the buffer * @return none */ uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples) { uint32_t i; int32_t diff, diffCrnt = 0; uint32_t maxDiff = 0; for (i = 0; i < numSamples; i++) { diff = pIn[i] - pOut[i]; diffCrnt = (diff > 0) ? diff : -diff; if(diffCrnt > maxDiff) { maxDiff = diffCrnt; } } return(maxDiff); } /** * @brief Provide guard bits for Input buffer * @param q31_t* Pointer to input buffer * @param uint32_t blockSize * @param uint32_t guard_bits * @return none * The function Provides the guard bits for the buffer * to avoid overflow */ void arm_provide_guard_bits_q31 (q31_t * input_buf, uint32_t blockSize, uint32_t guard_bits) { uint32_t i; for (i = 0; i < blockSize; i++) { input_buf[i] = input_buf[i] >> guard_bits; } } /** * @brief Provide guard bits for Input buffer * @param q31_t* Pointer to input buffer * @param uint32_t blockSize * @param uint32_t guard_bits * @return none * The function Provides the guard bits for the buffer * to avoid overflow */ void arm_provide_guard_bits_q7 (q7_t * input_buf, uint32_t blockSize, uint32_t guard_bits) { uint32_t i; for (i = 0; i < blockSize; i++) { input_buf[i] = input_buf[i] >> guard_bits; } } /** * @brief Caluclates number of guard bits * @param uint32_t number of additions * @return none * The function Caluclates the number of guard bits * depending on the numtaps */ uint32_t arm_calc_guard_bits (uint32_t num_adds) { uint32_t i = 1, j = 0; if (num_adds == 1) { return (0); } while (i < num_adds) { i = i * 2; j++; } return (j); } /** * @brief Converts Q15 to floating-point * @param uint32_t number of samples in the buffer * @return none */ void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits) { uint32_t i; for (i = 0; i < numSamples; i++) { pIn[i] = pIn[i] * arm_calc_2pow(guard_bits); } } /** * @brief Calculates pow(2, numShifts) * @param uint32_t number of shifts * @return pow(2, numShifts) */ uint32_t arm_calc_2pow(uint32_t numShifts) { uint32_t i, val = 1; for (i = 0; i < numShifts; i++) { val = val * 2; } return(val); } /** * @brief Converts float to fixed q14 * @param uint32_t number of samples in the buffer * @return none * The function converts floating point values to fixed point values */ void arm_float_to_q14 (float *pIn, q15_t * pOut, uint32_t numSamples) { uint32_t i; for (i = 0; i < numSamples; i++) { /* 16384.0f corresponds to pow(2, 14) */ pOut[i] = (q15_t) (pIn[i] * 16384.0f); pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; if (pIn[i] == (float) 2.0) { pOut[i] = 0x7FFF; } } } /** * @brief Converts float to fixed q30 format * @param uint32_t number of samples in the buffer * @return none * The function converts floating point values to fixed point values */ void arm_float_to_q30 (float *pIn, q31_t * pOut, uint32_t numSamples) { uint32_t i; for (i = 0; i < numSamples; i++) { /* 1073741824.0f corresponds to pow(2, 30) */ pOut[i] = (q31_t) (pIn[i] * 1073741824.0f); pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; if (pIn[i] == (float) 2.0) { pOut[i] = 0x7FFFFFFF; } } } /** * @brief Converts float to fixed q30 format * @param uint32_t number of samples in the buffer * @return none * The function converts floating point values to fixed point values */ void arm_float_to_q29 (float *pIn, q31_t * pOut, uint32_t numSamples) { uint32_t i; for (i = 0; i < numSamples; i++) { /* 1073741824.0f corresponds to pow(2, 30) */ pOut[i] = (q31_t) (pIn[i] * 536870912.0f); pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; if (pIn[i] == (float) 4.0) { pOut[i] = 0x7FFFFFFF; } } } /** * @brief Converts float to fixed q28 format * @param uint32_t number of samples in the buffer * @return none * The function converts floating point values to fixed point values */ void arm_float_to_q28 (float *pIn, q31_t * pOut, uint32_t numSamples) { uint32_t i; for (i = 0; i < numSamples; i++) { /* 268435456.0f corresponds to pow(2, 28) */ pOut[i] = (q31_t) (pIn[i] * 268435456.0f); pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; if (pIn[i] == (float) 8.0) { pOut[i] = 0x7FFFFFFF; } } } /** * @brief Clip the float values to +/- 1 * @param pIn input buffer * @param numSamples number of samples in the buffer * @return none * The function converts floating point values to fixed point values */ void arm_clip_f32 (float *pIn, uint32_t numSamples) { uint32_t i; for (i = 0; i < numSamples; i++) { if(pIn[i] > 1.0f) { pIn[i] = 1.0; } else if( pIn[i] < -1.0f) { pIn[i] = -1.0; } } }