#include "tests/helpers.h"
#include "sources/convexSolver.h"
#include "sources/neighbors.h"

//test on random matrix
void test_convexSolver1()
{
	int nrow=100, ncol=11;
	//usual parameters
	double alpha = 0.2;
	int k = 4, gmode = 3;

	// initialize M to random matrix which somewhat simulate true data repartition
	srand(time(NULL));
	double* M = (double*)malloc(nrow*ncol*sizeof(double));
	// fill series first
	for (int j=0; j<ncol-2; j++)
	{
		for (int i=0; i<nrow; i++)
			M[i+nrow*j] = (double)rand()/RAND_MAX;
	}
	// fill coordinates
	int minCoord[2] = {  77100.0, 1023100.0}; // X, Y
	int maxCoord[2] = {1710200.0, 2672200.0}; // X, Y
	for (int j=ncol-2; j<ncol; j++)
	{
		for (int i=0; i<nrow; i++)
		{
			M[i+nrow*j] = minCoord[ncol-j-1] + 
				(maxCoord[ncol-j-1]-minCoord[ncol-j-1]) * (double)rand()/RAND_MAX;
		}
	}

	// we need neighborhoods to apply solver
	List** NI_tmp = getNeighbors_core(M, alpha, k, gmode, S_FALSE, nrow, ncol);
	int** NIix = (int**)malloc(nrow*sizeof(int*));
	int* lengthNIix = (int*)malloc(nrow*sizeof(int));
	for (int i=0; i<nrow; i++)
	{
		ListIterator* iterJ = list_get_iterator(NI_tmp[i]);
		int neighbSize = list_size(NI_tmp[i]);
		lengthNIix[i] = neighbSize;
		NIix[i] = (int*)malloc(neighbSize*sizeof(int));
		for (int j=0; j<neighbSize; j++)
		{
			int tmpNeighb; listI_get(iterJ, tmpNeighb);
			NIix[i][j] = tmpNeighb;
			listI_move_next(iterJ);
		}
		listI_destroy(iterJ);
		list_destroy(NI_tmp[i]);
	}
	free(NI_tmp);

	// restrict M by removing coordinates columns
	double* M_restrict = (double*)malloc(nrow*(ncol-2)*sizeof(double));
	for (int j=0; j<ncol-2; j++)
	{
		for (int i=0; i<nrow; i++)
			M_restrict[i+nrow*j] = M[i+nrow*j];
	}
	free(M);

	// finally apply test [TODO?]
	double pcoef = 1.0, h = 1e-3, eps = 1e-4;
	int maxit = 1e3;
	Parameters params = getVarsWithConvexOptim_core(
		M_restrict, lengthNIix, NIix, nrow, ncol-2, pcoef, h, eps, maxit, S_FALSE, S_TRUE);

	// free parameters memory
	free(M_restrict);
	free(lengthNIix);
	for (int i=0; i<nrow; i++)
		free(NIix[i]);
	free(NIix);

	// free results memory
	free(params.theta);
	for (int i=0; i<nrow; i++)
		free(params.f[i]);
	free(params.f);
}

//test with real dataset (birds observations)
void test_convexSolver2()
{
	int nrow=625, ncol=9;
	//usual parameters
	double alpha = 0.2;
	int k = 10, gmode = 1;

	// initialize M to completed data from birds observations [NO coordinates]
	double M[] = {0.20,1.0,1.10,0.70,0.60,0.0,0.0,0.10,0.50,0.50,0.0,1.0,1.30,1.0,0.0,1.50,0.90,0.40,0.70,1.10,1.20,0.90,1.10,0.80,1.20,1.70,1.60,1.30,1.30,0.30,1.20,0.30,0.20,0.30,0.80,0.0,0.30,0.30,1.20,0.80,0.0,0.0,0.90,0.90,1.50,0.50,0.30,1.90,1.20,1.80,1.20,3.40,2.20,1.10,0.90,0.80,0.50,1.70,1.50,0.60,0.90,0.90,0.60,0.0,1.50,1.0,0.20,0.30,1.10,1.10,0.50,2.80,0.50,0.80,0.30,0.70,2.0,1.0,1.30,0.40,0.0,0.80,1.0,1.40,0.50,1.0,1.10,1.60,1.10,0.80,1.0,0.0,2.50,1.60,1.20,0.80,1.0,1.20,0.40,0.60,0.0,0.20,0.40,1.40,1.90,1.10,1.30,1.70,0.70,0.10,1.90,0.0,0.0,0.0,0.0,0.80,0.30,0.60,0.70,0.20,0.40,2.20,2.50,0.50,1.0,1.80,1.20,1.30,0.666667,0.90,1.30,0.70,1.50,0.70,0.40,1.10,0.80,0.30,1.0,1.10,2.0,1.30,1.80,0.0,1.60,0.60,0.80,1.10,0.80,2.0,1.40,2.333333,1.70,0.60,0.70,1.40,0.70,0.50,1.120,0.40,1.28750,0.08750,0.08750,0.60,1.780,1.70,2.60,1.840,0.716667,0.133333,0.30,0.0,2.0,0.144444,0.20,1.70,0.58750,0.871429,0.416667,0.30,0.614286,0.714286,0.10,1.057143,1.233333,0.90,1.433333,0.60,1.16250,2.528571,1.5250,1.36250,1.150,0.942857,1.28750,1.30,2.23750,1.70,1.316667,1.50,1.70,1.350,0.520,0.60,1.385714,1.550,0.483333,1.20,1.36250,2.30,2.0,2.7750,2.933333,2.533333,1.80,0.333333,2.21250,1.2750,1.350,1.366667,1.20,2.10,0.083333,2.3750,1.414286,1.01250,1.650,1.01250,1.23750,1.46250,0.80,0.550,0.60,0.783333,0.3250,1.10,0.620,0.80,0.483333,1.057143,0.20,0.6250,0.3250,0.033333,0.250,0.150,0.20,0.666667,1.0,0.050,0.60,1.950,0.357143,0.0750,0.871429,1.0250,1.90,0.138889,0.90,0.76250,0.90,0.350,0.840,0.183333,1.60,0.90,0.46250,0.30,0.20,1.985714,2.26250,1.040,0.7750,1.550,1.433333,1.1750,0.30,2.20,0.4750,1.20,0.950,0.850,0.314286,1.30,0.866667,0.850,0.70,1.050,1.142857,0.0,0.8750,1.40,2.20,2.250,2.0,0.10,0.0,0.828571,0.26250,0.250,1.171429,0.6250,0.4250,1.10,0.8750,1.30,1.30,0.333333,0.642857,1.1750,1.250,0.242857,1.133333,0.60,0.20,1.442857,0.31250,0.450,1.23750,0.73750,1.033333,2.20,2.3750,0.30,2.26250,1.91250,1.78750,0.50,1.16250,1.7750,2.0,1.20,1.1250,0.70,1.10,0.871429,0.950,2.814286,0.96250,0.6750,1.2750,0.5250,1.46250,1.050,0.43750,0.350,0.30,1.380,0.66250,0.483333,1.56250,1.414286,1.457143,1.33750,1.120,1.350,0.81250,0.816667,2.73750,0.80,2.91250,0.30,0.608333,1.191837,2.2250,1.98750,2.4750,2.183333,2.250,3.5750,0.614286,0.03750,0.10,0.250,0.0,1.450,1.70,1.4250,2.214286,4.60,2.5250,1.10,1.30,1.80,1.350,1.33750,2.142857,1.50,1.9750,1.750,1.085714,1.7750,1.250,0.260,1.63750,1.250,1.70,0.742857,2.11250,1.050,0.60,0.533333,0.6250,0.820,1.060,0.880,0.10,1.585714,1.250,0.633333,0.90,0.48750,0.0,0.8750,1.528571,2.750,2.060,0.68750,1.70,1.76250,2.28750,2.86250,2.23750,1.60,1.4250,0.750,0.86250,1.13750,1.48750,0.90,0.914286,0.666667,0.70,0.0,1.30,0.60,0.842857,1.742857,2.080,0.166667,0.814286,2.050,1.60,2.580,2.10,2.233333,0.985714,1.785714,1.066667,1.90,2.180,0.70,1.60,0.780,2.10,0.071429,0.70,1.066667,0.840,0.816667,0.366667,0.80,0.40,1.50,0.883333,1.433333,0.071429,0.340,0.014286,1.10,1.228571,0.90,1.233333,1.466667,0.747619,0.80,0.928571,1.30,2.014286,0.50,1.166667,0.850,0.650,0.185714,0.550,0.10,1.485714,0.485714,0.0,1.10,0.850,0.857143,0.30,0.457143,0.20,1.446032,0.50,0.80,1.10,0.966667,0.550,1.150,0.950,0.714286,1.916667,0.533333,1.866667,0.850,0.750,0.20,0.980,0.90,0.880,0.266667,1.160,0.666667,1.50,1.740,1.680,1.3250,0.666667,1.240,0.560,0.533333,0.550,0.040,1.150,0.2250,0.90,1.050,0.460,1.466667,0.10,0.350,2.483333,1.666667,0.166667,0.0,1.30,1.340,2.0,1.480,1.460,1.633333,0.70,1.020,1.1750,0.30,1.680,1.7750,1.250,0.920,1.060,0.380,1.520,0.860,0.10,1.580,0.50,1.0750,0.333333,0.40,0.0750,1.950,0.9250,0.750,0.20,1.466667,1.150,0.4750,2.60,1.633333,1.30,0.566667,1.20,2.60,0.70,1.80,1.350,1.766667,0.70,0.50,0.50,1.0,1.10,0.033333,0.40,0.80,0.60,1.90,1.450,1.450,0.40,0.950,1.50,1.30,1.250,0.30,0.650,1.850,1.150,0.0,0.20,1.650,2.0,0.450,1.450,0.40,1.20,0.50,0.950,0.20,1.30,1.0,1.90,0.60,0.70,0.70,0.30,0.40,1.90,0.90,0.90,1.50,1.20,0.20,0.70,0.70,0.70,0.60,0.10,0.0,0.20,0.50,0.80,0.10,0.70,0.50,0.70,0.0,0.90,0.80,0.60,0.70,0.90,1.30,1.10,1.0,0.90,1.40,2.70,1.70,1.80,2.80,0.80,0.70,0.70,0.444444,0.40,0.70,0.20,0.20,0.40,0.90,0.80,0.0,0.0,1.10,1.20,1.40,0.60,0.40,0.90,1.20,2.10,1.50,3.40,2.20,1.20,1.0,1.40,0.50,2.0,1.30,0.80,0.80,0.90,0.80,0.60,1.50,1.20,0.20,0.30,1.0,0.80,0.40,2.0,1.0,1.10,0.80,1.0,2.20,1.10,1.40,0.40,0.542857,0.80,1.10,1.40,0.50,1.0,1.10,1.10,1.20,0.50,1.228571,0.0,2.30,2.0,1.10,0.90,0.90,1.20,1.10,0.40,0.10,0.10,2.40,1.70,2.250,1.20,2.70,1.90,0.20,0.40,1.50,0.30,0.0,0.0,0.0,0.750,0.30,0.7750,0.70,0.80,0.40,2.20,2.50,0.50,1.40,1.40,1.40,1.30,0.40,0.385714,2.30,1.20,2.0,1.60,0.10,1.0,1.0,0.30,1.20,2.80,2.0,0.80,2.0,0.0,2.10,1.10,1.0,1.0,1.0,1.80,2.60,1.961905,1.80,0.70,0.850,1.0,0.70,1.40,1.20,0.20,1.20,0.0,0.0,0.60,2.70,2.20,2.40,2.30,1.0,0.0,0.30,0.0,2.30,0.10,0.20,1.0,0.20,1.0,0.30,0.20,0.30,0.60,0.10,1.10,1.50,0.80,0.30,0.20,0.60,2.90,1.40,1.80,1.20,1.40,1.10,1.0,2.80,1.90,1.10,1.50,1.60,1.30,0.80,0.30,1.10,2.30,1.10,1.20,1.80,2.10,2.40,1.80,3.20,2.90,1.90,0.30,2.30,1.10,1.30,1.50,0.90,2.40,0.0,1.80,2.10,1.30,1.80,1.0,1.30,1.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.040,1.150,0.2250,0.90,1.050,0.60,1.50,0.10,0.350,2.20,1.30,0.20,0.0,1.30,1.90,2.20,2.10,1.70,1.633333,0.70,0.80,0.70,0.30,1.10,1.90,1.50,1.0,1.50,0.50,1.50,1.10,0.0,2.50,0.60,0.70,0.333333,0.40,0.10,1.950,0.50,0.60,0.20,1.60,1.20,0.60,2.60,1.633333,1.30,0.60,1.20,2.60,0.70,1.80,1.350,2.0,0.80,0.50,0.50,1.30,1.10,0.0,0.30,0.70,0.60,1.90,1.60,1.30,0.20,0.60,1.50,1.30,1.40,0.30,0.80,1.60,1.50,0.0,0.20,1.80,2.0,0.40,1.40,0.40,1.20,0.40,0.80,0.20,1.30,1.0,1.90,0.60,0.70,0.70,0.30,0.40,1.90,0.90,0.90,1.50,1.20};

	// initialize neighborhoods as preprocessed (elsewhere...)
	int lengthNIix[] = {3,4,4,3,2,3,4,3,4,3,4,3,4,3,3,4,4,3,3,4,4,2,4,4,3,4,3,3,4,3,4,3,4,4,4,4,3,3,4,4,4,3,3,3,3,3,4,3,4,4,3,3,4,4,4,3,2,3,4,4,4,4,3,4,4,4,3,3,3,3,2,2,4,4,3,4,4,3,4,4,4,4,4,4,4,4,4,3,3,3,3,4,3,3,3,4,4,3,4,4,4,4,4,4,2,2,4,4,2,3,4,4,3,4,4,3,4,4,4,4,4,4,3,4,4,3,4,3,3,3,4,3,4,4,4,4,3,4,4,3,3,4,4,3,3,4,3,4,4,3,4,4,4,4,4,4,4,3,4,3,4,3,3,4,4,4,4,4,3,4,4,3,3,4,3,4,3,4,4,2,3,4,2,3,3,3,4,3,4,4,3,3,3,4,4,4,4,4,4,4,3,3,2,3,3,3,4,4,4,4,3,4,3,4,3,4,4,3,3,4,3,4,3,3,3,4,4,3,3,4,4,2,3,3,4,4,2,3,3,4,4,4,4,3,3,3,4,4,4,4,4,4,4,4,4,3,4,3,4,4,4,3,3,3,3,3,3,4,3,4,4,3,3,4,4,4,4,4,4,4,3,4,3,4,3,4,4,4,4,3,3,4,4,4,4,3,3,4,4,4,4,3,3,3,4,4,4,3,4,4,3,3,4,3,4,4,4,4,4,4,4,4,3,4,3,3,4,3,3,3,4,4,3,3,3,3,3,2,4,3,4,4,4,3,2,3,2,3,4,4,3,3,3,4,4,4,4,4,3,4,4,2,3,4,3,4,4,3,3,2,4,3,1,2,1,4,3,4,3,3,4,4,4,4,4,4,4,3,3,4,4,4,4,4,3,4,3,4,3,3,4,4,3,4,4,4,3,3,3,3,3,3,3,3,3,3,4,4,2,2,3,3,3,3,4,4,3,3,2,4,3,4,3,4,4,4,3,4,4,4,3,3,2,2,3,3,3,2,4,4,4,3,3,3,4,3,4,4,3,2,4,3,4,2,3,4,4,4,3,4,3,4,4,3,3,3,4,4,4,4,2,4,4,2,3,4,4,2,4,3,4,2,2,3,3,3,3,4,3,4,4,4,3,3,3,3,4,4,4,4,3,3,2,4,3,3,3,4,4,4,4,4,2,3,4,4,2,2,4,4,4,3,4,3,3,3,4,3,4,4,3,4,4,3,3,3,4,4,4,1,4,3,2,3,3,2,4,3,3,3,4,4,4,3,4,4,4,3,3,3,4,3,3,3,2,4,3,2,3,3,4,4,4,4,3,4,4,4,2,3,4,4,3,4,3,4,3,3,4,4,2,2,4,4,2,4,3,3,3,3,2,4,4,4,4,3,3,3,3,3,4,4,3,3,3};
	int NIix_tmp[625][4] = 
	{
		{79,431,4,-1},
		{3,568,542,331},
		{431,4,82,83},
		{4,1,431,-1},
		{432,318,-1,-1},
		{161,40,488,-1},
		{162,611,488,40},
		{506,489,373,-1},
		{9,169,433,240},
		{433,515,128,-1},
		{171,244,170,468},
		{433,515,129,-1},
		{127,174,242,615},
		{171,169,245,-1},
		{174,588,406,-1},
		{148,20,502,503},
		{147,20,118,23},
		{116,187,16,-1},
		{181,187,178,-1},
		{21,187,115,184},
		{21,15,18,512},
		{184,148,-1,-1},
		{23,175,419,214},
		{512,198,22,16},
		{542,273,201,-1},
		{150,561,210,49},
		{420,422,140,-1},
		{561,49,150,-1},
		{83,386,504,224},
		{232,514,234,-1},
		{514,510,231,333},
		{234,612,89,-1},
		{33,238,593,245},
		{32,8,247,592},
		{262,260,38,39},
		{468,243,240,10},
		{615,243,41,-1},
		{615,36,41,-1},
		{615,13,247,464},
		{615,464,168,163},
		{466,615,5,261},
		{263,162,40,-1},
		{43,447,616,-1},
		{42,616,48,-1},
		{303,43,265,-1},
		{616,265,510,-1},
		{562,580,440,301},
		{265,304,48,-1},
		{44,580,265,303},
		{416,471,279,26},
		{578,606,55,-1},
		{492,270,452,-1},
		{269,270,492,452},
		{50,105,596,614},
		{56,50,280,592},
		{50,126,107,-1},
		{54,592,-1,-1},
		{457,104,577,-1},
		{64,616,44,65},
		{62,333,73,469},
		{62,469,333,290},
		{69,595,65,300},
		{335,59,290,-1},
		{616,70,304,314},
		{61,303,65,69},
		{73,131,61,86},
		{267,544,500,-1},
		{289,267,137,-1},
		{303,265,136,-1},
		{61,303,131,-1},
		{290,137,-1,-1},
		{536,613,-1,-1},
		{290,137,73,304},
		{136,288,290,138},
		{555,278,561,-1},
		{154,519,78,229},
		{555,279,564,78},
		{78,429,75,-1},
		{291,75,472,519},
		{318,331,525,329},
		{317,159,81,327},
		{319,431,317,79},
		{319,81,2,320},
		{319,103,326,24},
		{542,423,504,380},
		{331,545,319,425},
		{616,580,333,90},
		{528,90,237,-1},
		{543,206,90,-1},
		{333,31,335,-1},
		{334,88,62,-1},
		{344,601,581,618},
		{618,556,598,-1},
		{598,618,556,-1},
		{547,598,97,-1},
		{96,124,97,94},
		{97,399,623,496},
		{350,479,348,-1},
		{529,481,607,482},
		{611,101,7,374},
		{488,372,161,533},
		{372,488,533,161},
		{578,606,596,389},
		{83,590,504,221},
		{614,274,-1,-1},
		{596,606,-1,-1},
		{270,596,606,492},
		{104,596,566,492},
		{109,105,-1,-1},
		{108,492,456,-1},
		{606,269,596,518},
		{494,479,349,597},
		{574,415,502,-1},
		{112,574,415,502},
		{112,574,415,502},
		{574,118,417,-1},
		{120,411,415,180},
		{118,502,184,115},
		{117,182,415,18},
		{560,116,181,558},
		{181,116,17,417},
		{502,178,184,415},
		{502,184,178,-1},
		{496,348,497,349},
		{608,584,623,95},
		{499,457,515,-1},
		{127,593,515,567},
		{459,169,499,-1},
		{129,169,592,-1},
		{169,173,238,-1},
		{139,502,86,64},
		{501,69,60,-1},
		{58,315,139,501},
		{115,73,137,306},
		{500,520,116,311},
		{410,131,502,288},
		{131,410,73,-1},
		{501,314,520,502},
		{73,410,574,502},
		{86,118,135,-1},
		{416,540,415,-1},
		{413,470,414,310},
		{416,140,144,471},
		{311,116,268,-1},
		{574,142,575,-1},
		{574,147,414,119},
		{558,575,574,-1},
		{574,16,15,414},
		{575,147,15,574},
		{26,144,199,-1},
		{503,575,210,189},
		{214,365,416,422},
		{350,226,472,229},
		{555,154,430,479},
		{397,399,555,597},
		{429,399,564,97},
		{393,399,398,397},
		{156,494,479,-1},
		{432,4,79,555},
		{432,80,4,-1},
		{472,82,541,83},
		{5,263,488,-1},
		{41,611,7,-1},
		{506,490,372,37},
		{165,292,521,594},
		{164,167,465,521},
		{292,506,594,366},
		{164,292,594,465},
		{508,617,38,-1},
		{129,13,173,242},
		{433,242,129,10},
		{433,10,14,-1},
		{407,567,498,-1},
		{174,14,169,406},
		{173,14,8,-1},
		{22,197,577,521},
		{297,282,507,-1},
		{507,192,297,176},
		{560,17,118,18},
		{182,537,-1,-1},
		{116,500,122,-1},
		{120,116,18,19},
		{118,179,-1,-1},
		{185,116,21,-1},
		{118,441,21,-1},
		{410,187,117,-1},
		{450,444,560,576},
		{17,259,185,-1},
		{343,338,75,363},
		{196,575,364,166},
		{22,198,418,-1},
		{199,446,214,-1},
		{503,559,194,-1},
		{446,512,503,198},
		{195,191,199,192},
		{23,512,198,192},
		{150,189,293,166},
		{190,473,589,175},
		{559,23,473,22},
		{559,191,151,473},
		{599,385,542,-1},
		{599,24,387,-1},
		{203,562,-1,-1},
		{202,510,31,-1},
		{42,265,613,-1},
		{447,562,595,-1},
		{562,544,202,42},
		{528,332,514,510},
		{214,49,342,149},
		{49,364,599,150},
		{150,49,365,-1},
		{561,142,421,199},
		{360,415,421,-1},
		{150,189,212,26},
		{365,151,49,-1},
		{361,575,176,503},
		{450,294,256,422},
		{590,381,621,-1},
		{590,621,381,-1},
		{591,518,542,621},
		{272,427,542,-1},
		{223,28,83,386},
		{553,83,51,-1},
		{221,389,104,-1},
		{218,382,275,-1},
		{624,564,227,497},
		{624,554,352,495},
		{354,155,154,-1},
		{354,227,229,-1},
		{228,495,291,392},
		{354,597,305,399},
		{234,543,-1,-1},
		{29,462,231,-1},
		{232,461,544,-1},
		{232,236,31,461},
		{237,332,30,29},
		{232,31,-1,-1},
		{463,462,31,-1},
		{593,33,247,-1},
		{8,593,617,615},
		{242,170,567,499},
		{8,247,32,238},
		{240,433,299,615},
		{35,567,41,-1},
		{10,245,169,-1},
		{244,13,468,-1},
		{240,40,13,243},
		{13,615,33,464},
		{405,506,473,565},
		{371,619,374,565},
		{594,619,512,258},
		{367,594,473,256},
		{187,257,18,179},
		{257,178,259,179},
		{259,258,185,18},
		{254,259,258,-1},
		{294,576,445,420},
		{276,187,487,-1},
		{254,576,185,250},
		{254,512,276,474},
		{615,168,39,567},
		{467,37,299,-1},
		{34,464,12,-1},
		{41,161,467,-1},
		{595,616,510,-1},
		{47,449,580,-1},
		{46,302,267,-1},
		{266,314,66,562},
		{470,412,278,-1},
		{51,516,110,107},
		{52,106,614,57},
		{518,590,542,-1},
		{220,382,275,-1},
		{274,219,24,389},
		{273,275,590,389},
		{606,274,50,224},
		{257,259,250,487},
		{291,597,599,305},
		{597,561,230,574},
		{519,142,208,76},
		{50,283,614,-1},
		{570,577,284,297},
		{617,176,215,-1},
		{570,577,287,285},
		{617,578,570,-1},
		{570,287,578,521},
		{617,578,570,297},
		{578,283,539,238},
		{73,301,309,265},
		{66,267,613,-1},
		{72,63,60,-1},
		{277,597,472,561},
		{446,507,473,197},
		{294,256,189,251},
		{293,473,190,251},
		{296,282,299,-1},
		{589,295,298,-1},
		{508,176,521,281},
		{296,617,466,37},
		{298,617,242,261},
		{303,265,61,477},
		{307,288,46,-1},
		{307,266,313,-1},
		{310,69,265,-1},
		{301,308,72,47},
		{478,471,392,310},
		{305,312,48,137},
		{301,574,313,-1},
		{304,520,113,305},
		{310,73,304,58},
		{392,312,306,-1},
		{302,137,412,-1},
		{112,574,310,471},
		{302,520,112,-1},
		{311,501,70,112},
		{312,142,306,137},
		{79,598,527,83},
		{598,479,432,81},
		{83,160,568,579},
		{83,82,2,85},
		{579,331,569,424},
		{330,579,569,538},
		{321,325,423,-1},
		{569,83,327,505},
		{423,325,321,-1},
		{504,83,324,-1},
		{423,325,424,330},
		{526,579,525,-1},
		{526,568,320,-1},
		{79,526,325,-1},
		{321,329,423,504},
		{79,82,320,84},
		{207,235,544,-1},
		{613,86,89,-1},
		{528,90,562,-1},
		{528,613,62,-1},
		{491,569,538,-1},
		{322,534,-1,-1},
		{343,291,188,201},
		{341,4,74,-1},
		{338,291,343,357},
		{339,343,74,357},
		{291,343,208,200},
		{201,359,341,-1},
		{91,618,-1,-1},
		{344,530,485,-1},
		{485,602,-1,-1},
		{605,94,600,-1},
		{496,349,479,497},
		{623,123,460,393},
		{97,495,623,-1},
		{97,156,432,-1},
		{305,354,227,-1},
		{354,352,227,390},
		{228,230,392,352},
		{531,600,584,480},
		{481,529,530,602},
		{359,561,192,599},
		{577,292,49,-1},
		{357,363,599,192},
		{570,358,292,49},
		{486,281,-1,-1},
		{357,176,281,-1},
		{486,283,357,362},
		{366,210,189,-1},
		{214,199,175,486},
		{570,617,364,559},
		{251,368,576,-1},
		{594,576,369,-1},
		{166,122,-1,-1},
		{619,371,248,374},
		{619,370,374,-1},
		{100,-1,-1,-1},
		{374,163,-1,-1},
		{488,-1,-1,-1},
		{550,549,545,569},
		{550,549,538,-1},
		{538,376,621,220},
		{516,387,283,-1},
		{127,589,383,-1},
		{381,534,79,103},
		{428,426,377,590},
		{220,273,542,381},
		{599,382,387,201},
		{387,383,343,382},
		{387,389,382,200},
		{387,221,599,52},
		{389,201,386,-1},
		{606,577,591,-1},
		{577,273,384,51},
		{477,353,470,310},
		{477,315,352,470},
		{310,354,477,471},
		{156,494,349,479},
		{554,438,531,-1},
		{624,564,608,227},
		{624,554,495,-1},
		{154,156,494,97},
		{97,429,623,-1},
		{154,155,564,-1},
		{573,584,608,402},
		{572,556,608,584},
		{573,496,608,-1},
		{508,405,474,594},
		{405,594,403,473},
		{248,474,39,297},
		{585,14,127,-1},
		{127,587,498,-1},
		{588,498,129,-1},
		{588,610,128,-1},
		{136,500,441,-1},
		{500,112,122,-1},
		{574,558,116,-1},
		{574,471,120,-1},
		{142,49,147,-1},
		{113,557,118,-1},
		{49,140,120,26},
		{120,113,558,15},
		{149,145,-1,-1},
		{146,22,-1,-1},
		{120,422,26,-1},
		{199,120,211,-1},
		{575,214,189,-1},
		{324,79,103,-1},
		{84,538,427,331},
		{621,426,83,545},
		{427,545,85,-1},
		{377,426,220,-1},
		{381,591,-1,-1},
		{494,154,155,479},
		{555,399,97,-1},
		{4,81,317,3},
		{568,158,555,-1},
		{171,11,169,174},
		{522,624,44,352},
		{436,624,439,475},
		{624,440,434,-1},
		{434,43,229,624},
		{622,478,352,434},
		{509,435,522,43},
		{436,46,475,-1},
		{410,184,502,-1},
		{410,115,-1,-1},
		{118,410,-1,-1},
		{410,116,186,-1},
		{186,120,444,-1},
		{199,150,512,-1},
		{265,88,-1,-1},
		{511,42,30,332},
		{42,265,333,612},
		{216,256,422,445},
		{591,275,553,-1},
		{516,614,283,-1},
		{456,106,458,-1},
		{578,52,457,617},
		{513,107,592,-1},
		{614,459,453,240},
		{593,127,239,566},
		{127,240,614,-1},
		{456,8,-1,-1},
		{349,230,154,624},
		{232,237,236,-1},
		{237,232,543,202},
		{231,87,-1,-1},
		{262,240,41,-1},
		{615,567,163,164},
		{468,245,261,5},
		{615,261,263,35},
		{40,35,161,-1},
		{47,613,60,73},
		{392,279,574,-1},
		{305,49,519,574},
		{291,154,188,568},
		{248,197,594,-1},
		{199,404,594,-1},
		{522,523,510,-1},
		{79,432,327,94},
		{392,44,352,303},
		{391,42,477,58},
		{97,429,317,598},
		{600,482,-1,-1},
		{480,604,601,581},
		{581,618,583,582},
		{530,601,-1,-1},
		{618,605,529,-1},
		{605,547,572,581},
		{363,283,365,214},
		{259,371,-1,-1},
		{506,100,533,161},
		{7,374,615,-1},
		{374,533,248,99},
		{336,425,-1,-1},
		{517,578,-1,-1},
		{582,509,564,-1},
		{157,351,74,-1},
		{229,97,430,-1},
		{402,584,583,-1},
		{622,348,482,607},
		{610,408,457,-1},
		{593,592,127,240},
		{134,410,72,116},
		{137,410,116,131},
		{121,112,137,-1},
		{150,192,560,-1},
		{84,381,326,-1},
		{551,426,222,-1},
		{7,488,41,248},
		{508,292,177,403},
		{559,539,403,168},
		{434,493,460,266},
		{207,203,616,-1},
		{616,528,203,-1},
		{23,259,-1,-1},
		{455,592,107,492},
		{30,544,233,-1},
		{240,13,615,-1},
		{452,492,110,-1},
		{106,614,516,57},
		{591,271,606,388},
		{471,279,75,354},
		{134,314,136,58},
		{589,567,297,617},
		{524,42,-1,-1},
		{475,42,440,-1},
		{523,522,42,440},
		{432,317,327,423},
		{321,79,-1,-1},
		{323,316,-1,-1},
		{207,335,87,511},
		{581,600,484,604},
		{607,582,483,345},
		{623,572,91,-1},
		{582,607,483,602},
		{490,374,611,-1},
		{376,381,321,-1},
		{621,376,590,-1},
		{137,179,118,112},
		{137,122,112,-1},
		{621,620,85,424},
		{508,281,589,199},
		{305,142,112,-1},
		{432,97,160,568},
		{84,24,219,1},
		{207,88,232,-1},
		{335,206,514,-1},
		{375,538,551,-1},
		{375,621,538,320},
		{346,618,485,92},
		{281,577,361,175},
		{424,-1,-1,-1},
		{376,538,549,336},
		{545,381,491,-1},
		{381,491,-1,-1},
		{621,376,569,-1},
		{623,396,401,-1},
		{494,430,-1,-1},
		{97,92,111,532},
		{142,268,119,-1},
		{412,49,119,-1},
		{508,199,404,-1},
		{178,415,150,558},
		{25,359,278,338},
		{264,42,206,334},
		{590,103,518,-1},
		{399,225,354,349},
		{250,404,249,374},
		{513,596,52,107},
		{240,465,521,-1},
		{432,476,1,-1},
		{323,376,527,-1},
		{366,361,577,284},
		{623,608,124,-1},
		{608,605,95,-1},
		{123,97,349,-1},
		{114,145,-1,-1},
		{150,26,144,178},
		{487,254,619,-1},
		{281,389,-1,-1},
		{284,102,454,-1},
		{327,318,325,-1},
		{86,65,289,48},
		{529,484,481,582},
		{532,581,485,607},
		{485,496,482,347},
		{346,484,401,-1},
		{408,406,586,609},
		{406,609,409,588},
		{406,409,588,609},
		{408,586,-1,-1},
		{521,508,243,-1},
		{219,451,563,428},
		{451,220,217,103},
		{238,513,459,-1},
		{456,457,454,239},
		{250,368,403,-1},
		{265,86,205,58},
		{516,105,457,-1},
		{75,291,278,-1},
		{79,479,94,327},
		{340,200,387,357},
		{355,547,-1,-1},
		{483,547,-1,-1},
		{618,601,483,344},
		{91,547,532,355},
		{481,485,-1,-1},
		{584,496,401,484},
		{274,224,52,-1},
		{623,572,529,-1},
		{572,531,484,-1},
		{409,610,498,-1},
		{498,409,-1,-1},
		{488,263,162,101},
		{510,202,332,205},
		{448,205,264,334},
		{566,57,454,458},
		{40,38,41,-1},
		{86,45,469,-1},
		{285,578,298,-1},
		{547,484,91,-1},
		{371,576,250,-1},
		{375,549,538,491},
		{217,425,535,553},
		{607,349,438,-1},
		{349,396,608,-1},
		{396,622,436,-1}
	};
	int** NIix = (int**)malloc(nrow*sizeof(int*));
	for (int i=0; i<nrow; i++)
	{
		NIix[i] = (int*)malloc(lengthNIix[i]*sizeof(int));
		for (int j=0; j<lengthNIix[i]; j++)
			NIix[i][j] = NIix_tmp[i][j];
	}

	// main call to LL minimization
	double pcoef = 1.0, h = 1e-2, eps = 1e-3;
	int maxit = 1e2;
	Parameters params = getVarsWithConvexOptim_core(
		M, lengthNIix, NIix, nrow, ncol, pcoef, h, eps, maxit, S_TRUE, S_TRUE);

	// free neighborhoods parameters arrays
	for (int i=0; i<nrow; i++)
		free(NIix[i]);
	free(NIix);

	// free results memory
	free(params.theta);
	for (int i=0; i<nrow; i++)
		free(params.f[i]);
	free(params.f);
}