OpenBLAS/utest/test_rotmg.c

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#include "openblas_utest.h"

CTEST (drotmg,rotmg)
{
	double te_d1, tr_d1;
	double te_d2, tr_d2;
	double te_x1, tr_x1;
	double te_y1, tr_y1;
	double te_param[5];
	double tr_param[5];
	int i=0;
	// original test case for libGoto bug fixed by feb2014 rewrite
	te_d1= 0.21149573940783739;
	te_d2= 0.046892057172954082;
	te_x1= -0.42272687517106533;
	te_y1= 0.42211309121921659;


	for(i=0; i<5; i++){
	  te_param[i]=tr_param[i]=0.0;
	}

	//reference values as calculated by netlib blas

        tr_d1= 0.1732048;
        tr_d2= 0.03840234;
        tr_x1= -0.516180;
        tr_y1= 0.422113;
        tr_d1= 0.17320483687975;
        tr_d2= 0.03840233915037;
        tr_x1= -0.51618034832329;
        tr_y1= 0.42211309121922;

	tr_param[0]= 0.0;
	tr_param[1]= 0.0;
	tr_param[2]= 0.99854803659786; 
	tr_param[3]= -0.22139439665872;
	tr_param[4]= 0.0;

	BLASFUNC(drotmg)(&te_d1, &te_d2, &te_x1, &te_y1, te_param);
	ASSERT_DBL_NEAR_TOL(tr_d1, te_d1, DOUBLE_EPS);
	ASSERT_DBL_NEAR_TOL(tr_d2, te_d2, DOUBLE_EPS);
	ASSERT_DBL_NEAR_TOL(tr_x1, te_x1, DOUBLE_EPS);
	ASSERT_DBL_NEAR_TOL(tr_y1, te_y1, DOUBLE_EPS);

	for(i=0; i<5; i++){
		ASSERT_DBL_NEAR_TOL(tr_param[i], te_param[i], DOUBLE_EPS);
	}
}

CTEST (drotmg,rotmg_issue1452)
{
	double te_d1, tr_d1;
	double te_d2, tr_d2;
	double te_x1, tr_x1;
	double te_y1, tr_y1;
	double te_param[5];
	double tr_param[5];
	int i=0;

	// from issue #1452
	te_d1 = 5.9e-8;
	te_d2 = 5.960464e-8;
	te_x1 = 1.0;
	te_y1 = 150.0;

	for(i=0; i<5; i++){
	  te_param[i]=tr_param[i]=0.0;
	}
	te_param[3]=1./4096.;
	//reference values as calculated by gonum blas with rotmg rewritten to Hopkins' algorithm
	tr_d1= 0.99995592822897;
	tr_d2= 0.98981219860583;
	tr_x1= 0.03662270484346;
	tr_y1= 150.000000000000;

	tr_param[0]= -1.0;
	tr_param[1]= 0.00000161109346;
	tr_param[2]= -0.00024414062500;
	tr_param[3]= 0.00024414062500;
	tr_param[4]= 0.00000162760417;

	//OpenBLAS
	BLASFUNC(drotmg)(&te_d1, &te_d2, &te_x1, &te_y1, te_param);

	ASSERT_DBL_NEAR_TOL(tr_d1, te_d1, DOUBLE_EPS);
	ASSERT_DBL_NEAR_TOL(tr_d2, te_d2, DOUBLE_EPS);
	ASSERT_DBL_NEAR_TOL(tr_x1, te_x1, DOUBLE_EPS);
	ASSERT_DBL_NEAR_TOL(tr_y1, te_y1, DOUBLE_EPS);

	for(i=0; i<5; i++){
		ASSERT_DBL_NEAR_TOL(tr_param[i], te_param[i], DOUBLE_EPS);
	}

}

CTEST(drotmg, rotmg_D1eqD2_X1eqX2)
{
	double te_d1, tr_d1;
	double te_d2, tr_d2;
	double te_x1, tr_x1;
	double te_y1, tr_y1;
	double te_param[5];
	double tr_param[5];
	int i=0;
	te_d1= tr_d1=2.;
	te_d2= tr_d2=2.;
	te_x1= tr_x1=8.;
	te_y1= tr_y1=8.;

	for(i=0; i<5; i++){
	  te_param[i]=tr_param[i]=0.0;
	}
	
	//reference values as calculated by netlib blas
        tr_d1= 1.0;
        tr_d2= 1.0;
        tr_x1= 16.0;
        tr_y1= 8.0;

	tr_param[0]=1.0;
	tr_param[1]=1.0;
	tr_param[2]=0.0;
	tr_param[3]=0.0;
	tr_param[4]=1.0;

	//OpenBLAS
	BLASFUNC(drotmg)(&te_d1, &te_d2, &te_x1, &te_y1, te_param);

	ASSERT_DBL_NEAR_TOL(tr_d1, te_d1, DOUBLE_EPS);
	ASSERT_DBL_NEAR_TOL(tr_d2, te_d2, DOUBLE_EPS);
	ASSERT_DBL_NEAR_TOL(tr_x1, te_x1, DOUBLE_EPS);
	ASSERT_DBL_NEAR_TOL(tr_y1, te_y1, DOUBLE_EPS);

	for(i=0; i<5; i++){
		ASSERT_DBL_NEAR_TOL(tr_param[i], te_param[i], DOUBLE_EPS);
	}
}

CTEST(drotmg, drotmg_D1_big_D2_big_flag_zero)
{
	double te_d1, tr_d1;
	double te_d2, tr_d2;
	double te_x1, tr_x1;
	double te_y1, tr_y1;
	double te_param[5]={1.,4096.,-4096.,1.,4096.};
	double tr_param[5]={-1.,4096.,-3584.,1792.,4096.};
	int i=0;
	te_d1= tr_d1=1600000000.;
	te_d2= tr_d2=800000000.;
	te_x1= tr_x1=8.;
	te_y1= tr_y1=7.;

	
	//reference values as calculated by gonum 
        tr_d1= 68.96627824858757;
        tr_d2= 34.483139124293785;
        tr_x1= 45312.;
        tr_y1= 7.0;


	//OpenBLAS
	BLASFUNC(drotmg)(&te_d1, &te_d2, &te_x1, &te_y1, te_param);

	ASSERT_DBL_NEAR_TOL(tr_d1, te_d1, DOUBLE_EPS);
	ASSERT_DBL_NEAR_TOL(tr_d2, te_d2, DOUBLE_EPS);
	ASSERT_DBL_NEAR_TOL(tr_x1, te_x1, DOUBLE_EPS);
	ASSERT_DBL_NEAR_TOL(tr_y1, te_y1, DOUBLE_EPS);

	for(i=0; i<5; i++){
		ASSERT_DBL_NEAR_TOL(tr_param[i], te_param[i], DOUBLE_EPS);
	}
}