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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 "int.h"
static void dintsTest(void) {
/* FIXME : results could be differents of what wanted because of C number
where 1 can be 0.99999999999992347
This example fail :
for(i=-2;i<-1;i+=.1){
out = dints(i);
}
In the case of -1, -1 wasn't -1 exactly so error
*/
assert ((fabs( dints(-2) - (-2))/fabs(dints(-2)))<1e-16);
assert ((fabs( dints(-1.9) - (-1))/fabs(dints(-1.9)))<1e-16);
assert ((fabs( dints(-1.8) - (-1))/fabs(dints(-1.8)))<1e-16);
assert ((fabs( dints(-1.7) - (-1))/fabs(dints(-1.7)))<1e-16);
assert ((fabs( dints(-1.6) - (-1))/fabs(dints(-1.6)))<1e-16);
assert ((fabs( dints(-1.5) - (-1))/fabs(dints(-1.5)))<1e-16);
assert ((fabs( dints(-1.4) - (-1))/fabs(dints(-1.4)))<1e-16);
assert ((fabs( dints(-1.3) - (-1))/fabs(dints(-1.3)))<1e-16);
assert ((fabs( dints(-1.2) - (-1))/fabs(dints(-1.2)))<1e-16);
assert ((fabs( dints(-1.1) - (-1))/fabs(dints(-1.1)))<1e-16);
assert ((fabs( dints(-1.0) - (-1))/fabs(dints(-1.0)))<1e-16);
assert (fabs( dints(-.9))<1e-16);
assert ((fabs( dints(1.0) - (1))/fabs(dints(1.0)))<1e-16);
assert ((fabs( dints(1.1) - (1))/fabs(dints(1.1)))<1e-16);
assert ((fabs( dints(1.2) - (1))/fabs(dints(1.2)))<1e-16);
assert ((fabs( dints(1.3) - (1))/fabs(dints(1.3)))<1e-16);
assert ((fabs( dints(1.4) - (1))/fabs(dints(1.4)))<1e-16);
assert ((fabs( dints(1.5) - (1))/fabs(dints(1.5)))<1e-16);
assert ((fabs( dints(1.6) - (1))/fabs(dints(1.6)))<1e-16);
assert ((fabs( dints(1.7) - (1))/fabs(dints(1.7)))<1e-16);
assert ((fabs( dints(1.8) - (1))/fabs(dints(1.8)))<1e-16);
assert ((fabs( dints(1.9) - (1))/fabs(dints(1.9)))<1e-16);
assert ((fabs( dints(2.0) - (2))/fabs(dints(2.0)))<1e-16);
}
static void zintsTest(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 = zints(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 = zints(in);
assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16);
assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16);
in=DoubleComplex(-1.8,1.2);
out = zints(in);
assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16);
assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16);
in=DoubleComplex(-1.7,1.3);
out = zints(in);
assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16);
assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16);
in=DoubleComplex(-1.6,1.4);
out = zints(in);
assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16);
assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16);
in=DoubleComplex(-1.5,1.5);
out = zints(in);
assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16);
assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16);
in=DoubleComplex(-1.4,1.6);
out = zints(in);
assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16);
assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16);
in=DoubleComplex(-1.3,1.7);
out = zints(in);
assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16);
assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16);
in=DoubleComplex(-1.2,1.8);
out = zints(in);
assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16);
assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16);
in=DoubleComplex(-1.4,1.9);
out = zints(in);
assert ((fabs( zreals(out) - (-1))/fabs(zreals(out)))<1e-16);
assert ((fabs( zimags(out) - (1))/fabs(zimags(out)))<1e-16);
in=DoubleComplex(-1.0,2.0);
out = zints(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 = zints(in);
assert (fabs( zreals(out))<1e-16);
assert (fabs( zimags(out))<1e-16);
}
static void dintaTest(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,-4,6,4,4,0,0};
double out[10];
dinta(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 zintaTest(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,-4,6,4,4,0,0};
double resI[10]={5,1,1,-4,-2,0,1,1,7,-4};
doubleComplex out[10],*in;
in=DoubleComplexMatrix(inR,inI,10);
zinta(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);
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);
assert(fabs(zimags(out[i])-resI[i]) <1e-16);
}
}
static int testInt() {
printf("\n>>>> Double Int Tests\n");
dintsTest();
zintsTest();
dintaTest();
zintaTest();
return 0;
}
int main() {
assert(testInt() == 0);
return 0;
}
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