/*
 *  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 <math.h>
#include <stdlib.h>
#include <assert.h>
#include <stdio.h>
#include "chol.h"

/* FIXME : assert à 1e-14 pour une valeur d'entrée de 0.003... */


static void dcholsTest(void){
	double in=4;
	double out;
		printf("\n >>> DCholS <<<\n");
	out=dchols(in);
	assert( (fabs(out-2) / fabs(out)) <1e-16);

}

static void dcholaTest(void){
	/* in2 non viable car non définie positive, ne fonctionne pas dans Scilab */
	double in2[49]={0.2113249,0.7560439,0.0002211,0.3303271, 0.6653811,0.6283918,0.8497452 ,\
    0.6857310,0.8782165,0.0683740,0.5608486,0.6623569,0.7263507,0.1985144 ,\
    0.5442573,    0.2320748 ,   0.2312237,    0.2164633,    0.8833888,    0.6525135,    0.3076091  ,\
    0.9329616,    0.2146008 ,   0.312642  ,   0.3616361 ,   0.2922267 ,   0.5664249 ,   0.4826472  ,\
    0.3321719,    0.5935095,    0.5015342  ,  0.4368588  ,  0.2693125  ,  0.6325745  ,  0.4051954  ,\
    0.9184708,    0.0437334,    0.4818509   , 0.2639556   , 0.4148104   , 0.2806498   , 0.1280058  ,\
    0.7783129,    0.2119030,    0.1121355    ,0.6856896    ,0.1531217    ,0.6970851    ,0.8415518 };
    
    
	double in[9]= {0.722725308034569025040,0.8976796260103583335877,0.2427821881137788295746,\
			0.4337721113115549087524,0.9677053210325539112091,0.5068534435704350471497,\
			0.523297640960663557053,0.5596947595477104187012,0.5617307000793516635895};
	double res[9]={0.8501325238070644996213,0,0,\
			0.5102405791617476982225,0.8410468907315681308390,0,\
			0.6155483131232661886401,0.2920372626834314977451,0.3123222878611475739064};
	double out[9]={0}, out2[49]={0};
	int size=3;
	int i;
	
	printf("\n >>> DCholA <<<\n");
	dchola(in2,7,out2);
	for (i=0;i<49;i++)printf("out2[i]= %f\n",out2[i]);
	dchola(in,size,out);
	for (i=0;i<9;i++){ 
		if (out[i]>1e-16)  assert( (fabs(out[i]-res[i]) / fabs(out[i])) <3e-16);
	}
}


static void zcholsTest(void){
	doubleComplex in;
	doubleComplex out;
	in=DoubleComplex(3,1);
		printf("\n >>> ZCholS <<<\n");
	out=zchols(in);
	printf("result : %f\n",zreals(out));

}



static void zcholaTest(void){

	{
		double inR[9]= {9,4,2,4,5,1,2,1,4};
		double inI[9]= {1,-1,2,-1,-4,1,2,1,4};
		double resR[9]= {3,0,0,1.333333333333333259319,\
		1.763834207376393736766,0,0.6666666666666666296592,\
		0.1889822365046136265487,1.7525491637693282331867};
		double resI[9]= {0,0,0,- 0.3333333333333333148296,\
		0,0,0.6666666666666666296592,- 0.0629940788348712366052,0};
		doubleComplex *in, out[9];
		int i;
	
			printf("\n >>> ZCholA Test1 <<<\n");
		in=DoubleComplexMatrix(inR,inI,9);
	
		zchola(in,3,out);
		for (i=0;i<9;i++) printf("indice : %d   out : %f+%f *i\n",i,zreals(out[i]),zimags(out[i]));
		for (i=0;i<9;i++){
		if (zreals(out[i])>1e-16)
			assert( (fabs(zreals(out[i])-resR[i]) / fabs(zreals(out[i]))) <3e-16);
		if (zimags(out[i])>1e-16)	
			assert( (fabs(zimags(out[i])-resI[i]) / fabs(zimags(out[i]))) <3e-16);
		}
		free(in);
	}
	
	
	{
		double inR[9]= {1.90865864663256012967,0.9230693052910239337905,1.7121882610664511670251,
		0.9230693052910239337905,1.6572668858351540244200,0.8330281942607563605563,
		1.7121882610664511670251,0.8330281942607563605563,1.6029756354175805910245};
		double inI[9]= {0.0000000000000001301043,- 0.0097963300301950190230,- 0.2359069351837047023857,
		0.0097963300301950190230,0,- 0.0909413002461877950644,
		0.2359069351837046468745,0.0909413002461877811866,0.0000000000000000034694};
		double resR[9]= {1.381542126260564051776 ,0,0,
		0.6681441613289825776079,1.1003635695246982706408 ,0,
		1.239331199911254843826,0.0034220321368758992685,0.1941496531533084546339 };
		double resI[9]= {0,0,0,
		0.0070908659562273776769,0,0,
		0.1707562373231691910114,- 0.0130507331536391171789,0};
		
		doubleComplex *in, out[9];
		int i;
	
			printf("\n >>> ZCholA Test2 <<<\n");
		in=DoubleComplexMatrix(inR,inI,9);
	
		zchola(in,3,out);

		for (i=0;i<9;i++){
		if (zreals(out[i])>1e-16)
			assert( (fabs(zreals(out[i])-resR[i]) / fabs(zreals(out[i]))) <3e-15);
		if (zimags(out[i])>1e-16)	
			assert( (fabs(zimags(out[i])-resI[i]) / fabs(zimags(out[i]))) <1e-15);
		}
		free(in);
	}
	
	
	
}


static int cholTest(void){
	printf("\n >>> Double Chol <<<\n");
	dcholsTest();
	dcholaTest();
	zcholsTest();
	zcholaTest();	
	return 0;
}


int main (void){
	assert(cholTest()==0);
	return 0;
}