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/*
* Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
* Copyright (C) 2008 - INRIA - Arnaud TORSET
*
* This file must be used under the terms of the CeCILL.
* This source file is licensed as described in the file COPYING, which
* you should have received as part of this distribution. The terms
* are also available at
* http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
*
*/
#include <assert.h>
#include <math.h>
#include <stdio.h>
#include "round.h"
static void droundsTest(void) {
assert ((fabs( drounds(-2) - (-2))/fabs(drounds(-2)))<1e-16);
assert ((fabs( drounds(-1.9) - (-2))/fabs(drounds(-1.9)))<1e-16);
assert ((fabs( drounds(-1.8) - (-2))/fabs(drounds(-1.8)))<1e-16);
assert ((fabs( drounds(-1.7) - (-2))/fabs(drounds(-1.7)))<1e-16);
assert ((fabs( drounds(-1.6) - (-2))/fabs(drounds(-1.6)))<1e-16);
assert ((fabs( drounds(-1.5) - (-2))/fabs(drounds(-1.5)))<1e-16);
assert ((fabs( drounds(-1.4) - (-1))/fabs(drounds(-1.4)))<1e-16);
assert ((fabs( drounds(-1.3) - (-1))/fabs(drounds(-1.3)))<1e-16);
assert ((fabs( drounds(-1.2) - (-1))/fabs(drounds(-1.2)))<1e-16);
assert ((fabs( drounds(-1.1) - (-1))/fabs(drounds(-1.1)))<1e-16);
assert ((fabs( drounds(-1.0) - (-1))/fabs(drounds(-1.0)))<1e-16);
assert ((fabs( drounds(-0.9) - (-1))/fabs(drounds(-0.9)))<1e-16);
assert ((fabs( drounds(1.0) - (1))/fabs(drounds(1.0)))<1e-16);
assert ((fabs( drounds(1.1) - (1))/fabs(drounds(1.1)))<1e-16);
assert ((fabs( drounds(1.2) - (1))/fabs(drounds(1.2)))<1e-16);
assert ((fabs( drounds(1.3) - (1))/fabs(drounds(1.3)))<1e-16);
assert ((fabs( drounds(1.4) - (1))/fabs(drounds(1.4)))<1e-16);
assert ((fabs( drounds(1.5) - (2))/fabs(drounds(1.5)))<1e-16);
assert ((fabs( drounds(1.6) - (2))/fabs(drounds(1.6)))<1e-16);
assert ((fabs( drounds(1.7) - (2))/fabs(drounds(1.7)))<1e-16);
assert ((fabs( drounds(1.8) - (2))/fabs(drounds(1.8)))<1e-16);
assert ((fabs( drounds(1.9) - (2))/fabs(drounds(1.9)))<1e-16);
assert ((fabs( drounds(2.0) - (2))/fabs(drounds(2.0)))<1e-16);
}
static void zroundsTest(void) {
doubleComplex in, out;
/* tests allant de -2 + i a -1 + 2*i, les reels décroissants de 0.1, les imaginaires croissant de 0.1
+ 1 test supplementaire : -0.9 + 0.9*i*/
in=DoubleComplex(-2,1);
out = zrounds(in);
assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16);
assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16);
in=DoubleComplex(-1.9,1.1);
out = zrounds(in);
assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16);
assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16);
in=DoubleComplex(-1.8,1.2);
out = zrounds(in);
assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16);
assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16);
in=DoubleComplex(-1.7,1.3);
out = zrounds(in);
assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16);
assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16);
in=DoubleComplex(-1.6,1.4);
out = zrounds(in);
assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16);
assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16);
in=DoubleComplex(-1.5,1.5);
out = zrounds(in);
assert ((fabs( zreals(out) - (-2))/fabs(zreals(out)))<1e-16);
assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16);
in=DoubleComplex(-1.4,1.6);
out = zrounds(in);
assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16);
assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16);
in=DoubleComplex(-1.3,1.7);
out = zrounds(in);
assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16);
assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16);
in=DoubleComplex(-1.2,1.8);
out = zrounds(in);
assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16);
assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16);
in=DoubleComplex(-1.1,1.9);
out = zrounds(in);
assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16);
assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16);
in=DoubleComplex(-1.0,2.0);
out = zrounds(in);
assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16);
assert ((fabs( zimags(out) - (2))/fabs(zimags(out)))<1e-16);
in=DoubleComplex(-.9,.9);
out = zrounds(in);
assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16);
assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16);
}
static void droundaTest(void) {
int i;
double in[10]={1.2, 2.0,-2.0,-3.1,-4.5,6.1,4.1,4.9,-0.7, 0.5};
double res[10]={1,2,-2,-3,-5,6,4,5,-1,1};
double out[10];
drounda(in,10,out);
for (i=0;i<10;i++)
if (out[i]!=0) assert(fabs(out[i]-res[i])/fabs(out[i]) <1e-16);
else assert(fabs(out[i]-res[i]) <1e-16);
}
static void zroundaTest(void) {
int i;
double inR[10]={1.2, 2.0,-2.0,-3.1,-4.5,6.1,4.1,4.9,-0.7, 0.5};
double inI[10]={5.4,1.8,1.4,-4.0,-2.7,-0.3,1.5,1.4,7.3,-4.6};
double resR[10]={1,2,-2,-3,-5,6,4,5,-1,1};
double resI[10]={5,2,1,-4,-3,0,2,1,7,-5};
doubleComplex out[10],*in;
in=DoubleComplexMatrix(inR,inI,10);
zrounda(in,10,out);
for (i=0;i<10;i++){
if (zreals(out[i])!=0) assert(fabs(zreals(out[i])-resR[i])/fabs(zreals(out[i])) <1e-16);
else assert(fabs(zreals(out[i])-resR[i]) <1e-16);
if (zimags(out[i])!=0) assert(fabs(zimags(out[i])-resI[i])/fabs(zimags(out[i])) <1e-16);
else assert(fabs(zimags(out[i])-resI[i]) <1e-16);
}
}
static int testRound() {
printf("\n>>>> Double Round Tests\n");
droundsTest();
zroundsTest();
droundaTest();
zroundaTest();
return 0;
}
int main() {
assert(testRound() == 0);
return 0;
}
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