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310 lines
11 KiB
310 lines
11 KiB
/*
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g729FixedPointMathTest.c
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Copyright (C) 2011 Belledonne Communications, Grenoble, France
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Author : Johan Pascal
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This program is free software; you can redistribute it and/or
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modify it under the terms of the GNU General Public License
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as published by the Free Software Foundation; either version 2
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of the License, or (at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with this program; if not, write to the Free Software
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Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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*/
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/*****************************************************************************/
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/* */
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/* Test Program g729 Fixed Point Math library */
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/* */
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/* library provides: */
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/* g729Log2_Q0Q16 : Logarithm base 2 */
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/* g729Exp2_Q11Q16 : Exponentiel base 2 */
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/* g729Sqrt_Q0Q7 : Square Root */
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/* g729Cos_Q13Q15 : Cosine */
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/* g729Atan_Q15Q13 : Arc Tangent */
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/* g729Asin_Q15Q13 : Arc Sine */
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/* g729Acos_Q15Q13 : Arc Cosine */
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/* */
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/* Extention QxxQyy stands for input in Qxx output in Qyy */
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/* */
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/*****************************************************************************/
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#include <stdio.h>
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#include <stdlib.h>
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#include "g729FixedPointMath.h"
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#include "math.h"
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#include "typedef.h"
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#include "codecParameters.h"
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/* convert the float result from math.h to a fixed point integer in Qxx */
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word32_t float2FixedPoint(float x, int Q)
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{
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return (word32_t)round((double)x*(double)(1<<Q));
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}
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/* convert a Qxx integer to float */
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float fixedPoint2Float(word32_t x, int Q)
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{
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return (float)x/(float)(1<<Q);
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}
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/* no arguments just test all the functions */
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int main(int argc, char *argv[] )
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{
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int64_t i;
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int computationNumber = 0;
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double diffSum = 0;
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double diffSumPercent = 0;
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int maxDiff = 0;
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int maxDiffIndex = -1;
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double maxDiffPercent = 0;
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int maxDiffIndexPercent = -1;
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/* g729Log2_Q0Q16 : Logarithm base 2 */
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for (i=1; i<0x7FFFFFF; i+=0x10) {
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computationNumber++;
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word32_t resg729 = g729Log2_Q0Q16((word32_t)i);
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word32_t resMath = float2FixedPoint(log2f(i), 16);
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int currentDiff = abs(resg729-resMath);
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double currentDiffPercent = 0;
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if (resMath!=0 && currentDiff!=0) currentDiffPercent = 100.0*currentDiff/(float)resMath;
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diffSum += currentDiff;
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diffSumPercent += currentDiffPercent;
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if (currentDiff>maxDiff) {
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maxDiff = currentDiff;
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maxDiffIndex = i;
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}
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if (currentDiffPercent>maxDiffPercent) {
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maxDiffPercent = currentDiffPercent;
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maxDiffIndexPercent = i;
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}
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}
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printf ("Log2 : %d computation\n Mean Diff %f Mean Percent Diff %f\n Max Diff %d(%d) Max Percent Diff %f(%d)\n",
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computationNumber, diffSum/computationNumber, diffSumPercent/computationNumber, maxDiff, maxDiffIndex, maxDiffPercent, maxDiffIndexPercent);
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/* g729Exp2_Q11Q16 : Exponentiel base 2 */
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computationNumber = 0;
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diffSum = 0;
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diffSumPercent = 0;
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maxDiff = 0;
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maxDiffIndex = -1;
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maxDiffPercent = 0;
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maxDiffIndexPercent = -1;
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for (i=0; i<2048; i+=0x1) {
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computationNumber++;
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word32_t resg729 = g729Exp2_Q11Q16((word32_t)i);
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word32_t resMath = float2FixedPoint(exp2f(fixedPoint2Float(i,11)), 16);
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int currentDiff = abs(resg729-resMath);
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double currentDiffPercent = 0;
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if (resMath!=0 && resg729!=0 && currentDiff!=0) currentDiffPercent = 100.0*currentDiff/(float)resMath;
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diffSum += currentDiff;
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diffSumPercent += currentDiffPercent;
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if (currentDiff>maxDiff) {
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maxDiff = currentDiff;
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maxDiffIndex = i;
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}
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if (currentDiffPercent>maxDiffPercent) {
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maxDiffPercent = currentDiffPercent;
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maxDiffIndexPercent = i;
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}
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}
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printf ("Exp2 : %d computation\n Mean Diff %f Mean Percent Diff %f\n Max Diff %d(%d) Max Percent Diff %f(%d)\n",
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computationNumber, diffSum/computationNumber, diffSumPercent/computationNumber, maxDiff, maxDiffIndex, maxDiffPercent, maxDiffIndexPercent);
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/* g729Sqrt_Q0Q7 : Square Root */
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computationNumber = 0;
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diffSum = 0;
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diffSumPercent = 0;
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maxDiff = 0;
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maxDiffIndex = -1;
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maxDiffPercent = 0;
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maxDiffIndexPercent = -1;
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for (i=0; i<0x7FFFFFF; i+=0x8) {
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computationNumber++;
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word32_t resg729 = g729Sqrt_Q0Q7((word32_t)i);
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word32_t resMath = float2FixedPoint(sqrtf(i), 7);
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int currentDiff = abs(resg729-resMath);
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double currentDiffPercent = 0;
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if (resMath!=0 && resg729!=0 && currentDiff!=0) currentDiffPercent = 100.0*currentDiff/(float)resMath;
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diffSum += currentDiff;
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diffSumPercent += currentDiffPercent;
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if (currentDiff>maxDiff) {
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maxDiff = currentDiff;
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maxDiffIndex = i;
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}
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if (currentDiffPercent>maxDiffPercent) {
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maxDiffPercent = currentDiffPercent;
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maxDiffIndexPercent = i;
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}
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}
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printf ("Square Root : %d computation\n Mean Diff %f Mean Percent Diff %f\n Max Diff %d(%d) Max Percent Diff %f(%d)\n",
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computationNumber, diffSum/computationNumber, diffSumPercent/computationNumber, maxDiff, maxDiffIndex, maxDiffPercent, maxDiffIndexPercent);
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/* g729InvSqrt_Q0Q30 : Inverse Square Root */
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computationNumber = 0;
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diffSum = 0;
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diffSumPercent = 0;
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maxDiff = 0;
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maxDiffIndex = -1;
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maxDiffPercent = 0;
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maxDiffIndexPercent = -1;
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for (i=1; i<0x7FFFFFF; i+=0x8) {
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computationNumber++;
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word32_t resg729 = g729InvSqrt_Q0Q31((word32_t)i)>>1;
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word32_t resMath = float2FixedPoint(1.0/sqrtf(i), 30);
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int currentDiff = abs(resg729-resMath);
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double currentDiffPercent = 0;
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if (resMath!=0 && resg729!=0 && currentDiff!=0) currentDiffPercent = 100.0*currentDiff/(float)resMath;
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diffSum += currentDiff;
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diffSumPercent += currentDiffPercent;
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if (currentDiff>maxDiff) {
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maxDiff = currentDiff;
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maxDiffIndex = i;
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}
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if (currentDiffPercent>maxDiffPercent) {
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maxDiffPercent = currentDiffPercent;
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maxDiffIndexPercent = i;
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}
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}
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printf ("Inverse Square Root : %d computation\n Mean Diff %f Mean Percent Diff %f\n Max Diff %d(%d) Max Percent Diff %f(%d)\n",
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computationNumber, diffSum/computationNumber, diffSumPercent/computationNumber, maxDiff, maxDiffIndex, maxDiffPercent, maxDiffIndexPercent);
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/* g729Cos_Q13Q15 : Cosine */
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computationNumber = 0;
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diffSum = 0;
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diffSumPercent = 0;
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maxDiff = 0;
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maxDiffIndex = -1;
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maxDiffPercent = 0;
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maxDiffIndexPercent = -1;
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for (i=0; i<25736; i+=0x1) {
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computationNumber++;
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word32_t resg729 = g729Cos_Q13Q15((word32_t)i);
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word32_t resMath = float2FixedPoint(cosf(fixedPoint2Float(i,13)), 15);
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int currentDiff = abs(resg729-resMath);
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double currentDiffPercent = 0;
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if (resMath!=0 && resg729!=0 && currentDiff!=0) currentDiffPercent = 100.0*currentDiff/(float)resMath;
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diffSum += currentDiff;
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diffSumPercent += currentDiffPercent;
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if (currentDiff>maxDiff) {
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maxDiff = currentDiff;
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maxDiffIndex = i;
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}
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if (currentDiffPercent>maxDiffPercent) {
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maxDiffPercent = currentDiffPercent;
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maxDiffIndexPercent = i;
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}
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}
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printf ("Cosine : %d computation\n Mean Diff %f Mean Percent Diff %f\n Max Diff %d(%d) Max Percent Diff %f(%d)\n",
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computationNumber, diffSum/computationNumber, diffSumPercent/computationNumber, maxDiff, maxDiffIndex, maxDiffPercent, maxDiffIndexPercent);
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/* g729Atan_Q15Q13 : Arc Tangent */
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computationNumber = 0;
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diffSum = 0;
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diffSumPercent = 0;
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maxDiff = 0;
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maxDiffIndex = -1;
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maxDiffPercent = 0;
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maxDiffIndexPercent = -1;
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for (i=-0x8000000; i<0x7ffffff; i+=0x1) {
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computationNumber++;
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word32_t resg729 = g729Atan_Q15Q13((word32_t)i);
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word32_t resMath = float2FixedPoint(atanf(fixedPoint2Float(i,15)), 13);
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int currentDiff = abs(resg729-resMath);
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double currentDiffPercent = 0;
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if (resMath!=0 && resg729!=0 && currentDiff!=0) currentDiffPercent = 100.0*currentDiff/(float)resMath;
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diffSum += currentDiff;
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diffSumPercent += currentDiffPercent;
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if (currentDiff>maxDiff) {
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maxDiff = currentDiff;
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maxDiffIndex = i;
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}
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if (currentDiffPercent>maxDiffPercent) {
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maxDiffPercent = currentDiffPercent;
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maxDiffIndexPercent = i;
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}
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}
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printf ("Arc Tangent : %d computation\n Mean Diff %f Mean Percent Diff %f\n Max Diff %d(%d) Max Percent Diff %f(%d)\n",
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computationNumber, diffSum/computationNumber, diffSumPercent/computationNumber, maxDiff, maxDiffIndex, maxDiffPercent, maxDiffIndexPercent);
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/* g729Asin_Q15Q13 : Arc Sine */
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computationNumber = 0;
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diffSum = 0;
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diffSumPercent = 0;
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maxDiff = 0;
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maxDiffIndex = -1;
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maxDiffPercent = 0;
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maxDiffIndexPercent = -1;
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for (i=-0x7fff; i<0x7ffe; i+=0x1) {
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computationNumber++;
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word32_t resg729 = g729Asin_Q15Q13((word32_t)i);
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word32_t resMath = float2FixedPoint(asinf(fixedPoint2Float(i,15)), 13);
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int currentDiff = abs(resg729-resMath);
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double currentDiffPercent = 0;
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if (resMath!=0 && resg729!=0 && currentDiff!=0) currentDiffPercent = 100.0*currentDiff/(float)resMath;
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diffSum += currentDiff;
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diffSumPercent += currentDiffPercent;
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if (currentDiff>maxDiff) {
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maxDiff = currentDiff;
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maxDiffIndex = i;
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}
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if (currentDiffPercent>maxDiffPercent) {
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maxDiffPercent = currentDiffPercent;
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maxDiffIndexPercent = i;
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}
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}
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printf ("Arc Sine : %d computation\n Mean Diff %f Mean Percent Diff %f\n Max Diff %d(%d) Max Percent Diff %f(%d)\n",
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computationNumber, diffSum/computationNumber, diffSumPercent/computationNumber, maxDiff, maxDiffIndex, maxDiffPercent, maxDiffIndexPercent);
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/* g729Acos_Q15Q13 : Arc Cosine */
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computationNumber = 0;
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diffSum = 0;
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diffSumPercent = 0;
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maxDiff = 0;
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maxDiffIndex = -1;
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maxDiffPercent = 0;
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maxDiffIndexPercent = -1;
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for (i=-0x7fff; i<0x7ffe; i+=0x1) {
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computationNumber++;
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word32_t resg729 = g729Acos_Q15Q13((word32_t)i);
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word32_t resMath = float2FixedPoint(acosf(fixedPoint2Float(i,15)), 13);
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int currentDiff = abs(resg729-resMath);
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double currentDiffPercent = 0;
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if (resMath!=0 && resg729!=0 && currentDiff!=0) currentDiffPercent = 100.0*currentDiff/(float)resMath;
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diffSum += currentDiff;
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diffSumPercent += currentDiffPercent;
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if (currentDiff>maxDiff) {
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maxDiff = currentDiff;
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maxDiffIndex = i;
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}
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if (currentDiffPercent>maxDiffPercent) {
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maxDiffPercent = currentDiffPercent;
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maxDiffIndexPercent = i;
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}
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}
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printf ("Arc Cosine : %d computation\n Mean Diff %f Mean Percent Diff %f\n Max Diff %d(%d) Max Percent Diff %f(%d)\n",
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computationNumber, diffSum/computationNumber, diffSumPercent/computationNumber, maxDiff, maxDiffIndex, maxDiffPercent, maxDiffIndexPercent);
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exit (0);
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}
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