FLA_Sv_2x2.c File Reference

(r)

Functions
FLA_Error	FLA_Sv_2x2 (FLA_Obj alpha11, FLA_Obj alpha12, FLA_Obj alpha22, FLA_Obj sigma1, FLA_Obj sigma2)
FLA_Error	FLA_Sv_2x2_ops (float *alpha11, float *alpha12, float *alpha22, float *sigma1, float *sigma2)
FLA_Error	FLA_Sv_2x2_opd (double *alpha11, double *alpha12, double *alpha22, double *sigma1, double *sigma2)

Function Documentation

FLA_Sv_2x2()

FLA_Error FLA_Sv_2x2	(	FLA_Obj	alpha11,
		FLA_Obj	alpha12,
		FLA_Obj	alpha22,
		FLA_Obj	sigma1,
		FLA_Obj	sigma2
	)

{
    FLA_Datatype datatype;
 
    datatype = FLA_Obj_datatype( alpha11 );
 
    switch ( datatype )
    {
    case FLA_FLOAT:
    {
        float*  buff_alpha11 = FLA_FLOAT_PTR( alpha11 );
        float*  buff_alpha12 = FLA_FLOAT_PTR( alpha12 );
        float*  buff_alpha22 = FLA_FLOAT_PTR( alpha22 );
        float*  buff_sigma1  = FLA_FLOAT_PTR( sigma1 );
        float*  buff_sigma2  = FLA_FLOAT_PTR( sigma2 );
 
        FLA_Sv_2x2_ops( buff_alpha11,
                        buff_alpha12,
                        buff_alpha22,
                        buff_sigma1,
                        buff_sigma2 );
 
        break;
    }
 
    case FLA_DOUBLE:
    {
        double* buff_alpha11 = FLA_DOUBLE_PTR( alpha11 );
        double* buff_alpha12 = FLA_DOUBLE_PTR( alpha12 );
        double* buff_alpha22 = FLA_DOUBLE_PTR( alpha22 );
        double* buff_sigma1  = FLA_DOUBLE_PTR( sigma1 );
        double* buff_sigma2  = FLA_DOUBLE_PTR( sigma2 );
 
        FLA_Sv_2x2_opd( buff_alpha11,
                        buff_alpha12,
                        buff_alpha22,
                        buff_sigma1,
                        buff_sigma2 );
 
        break;
    }
    }
 
    return FLA_SUCCESS;
}

References FLA_Obj_datatype(), FLA_Sv_2x2_opd(), FLA_Sv_2x2_ops(), and i.

FLA_Sv_2x2_opd()

FLA_Error FLA_Sv_2x2_opd	(	double *	alpha11,
		double *	alpha12,
		double *	alpha22,
		double *	sigma1,
		double *	sigma2
	)

{
    double zero = 0.0;
    double one  = 1.0;
    double two  = 2.0;
 
    double f, g, h;
    double as, at, au, c, fa, fhmin, fhmax, ga, ha;
    double ssmin, ssmax;
    double temp, temp2;
 
    f = *alpha11;
    g = *alpha12;
    h = *alpha22;
 
    fa = fabs( f );
    ga = fabs( g );
    ha = fabs( h );
 
    fhmin = min( fa, ha );
    fhmax = max( fa, ha );
 
    if ( fhmin == zero )
    {
        ssmin = zero;
 
        if ( fhmax == zero )
            ssmax = ga;
        else
        {
            temp = min( fhmax, ga ) / max( fhmax, ga );
            ssmax = max( fhmax, ga ) * sqrt( one + temp * temp );
        }
    }
    else
    {
        if ( ga < fhmax )
        {
            as = one + fhmin / fhmax;
            at = ( fhmax - fhmin ) / fhmax;
            au = ( ga / fhmax ) * ( ga / fhmax );
            c  = two / ( sqrt( as * as + au ) + sqrt( at * at + au ) );
            ssmin = fhmin * c;
            ssmax = fhmax / c;
        }
        else
        {
            au = fhmax / ga;
 
            if ( au == zero )
            {
                ssmin = ( fhmin * fhmax ) / ga;
                ssmax = ga;
            }
            else
            {
                as = one + fhmin / fhmax;
                at = ( fhmax - fhmin ) / fhmax;
                temp  = as * au;
                temp2 = at * au;
                c  = one / ( sqrt( one + temp * temp ) +
                             sqrt( one + temp2 * temp2 ) );
                ssmin = ( fhmin * c ) * au;
                ssmin = ssmin + ssmin;
                ssmax = ga / ( c + c );
            }
        }
    }
 
    // Save the output values.
 
    *sigma1 = ssmin;
    *sigma2 = ssmax;
 
    return FLA_SUCCESS;
}

References i, temp, and temp2.

Referenced by FLA_Bsvd_compute_shift_opd(), and FLA_Sv_2x2().

FLA_Sv_2x2_ops()

FLA_Error FLA_Sv_2x2_ops	(	float *	alpha11,
		float *	alpha12,
		float *	alpha22,
		float *	sigma1,
		float *	sigma2
	)

{
    float  zero = 0.0F;
    float  one  = 1.0F;
    float  two  = 2.0F;
 
    float  f, g, h;
    float  as, at, au, c, fa, fhmin, fhmax, ga, ha;
    float  ssmin, ssmax;
    float  temp, temp2;
 
    f = *alpha11;
    g = *alpha12;
    h = *alpha22;
 
    fa = fabsf( f );
    ga = fabsf( g );
    ha = fabsf( h );
 
    fhmin = min( fa, ha );
    fhmax = max( fa, ha );
 
    if ( fhmin == zero )
    {
        ssmin = zero;
 
        if ( fhmax == zero )
            ssmax = ga;
        else
        {
            temp = min( fhmax, ga ) / max( fhmax, ga );
            ssmax = max( fhmax, ga ) * sqrtf( one + temp * temp );
        }
    }
    else
    {
        if ( ga < fhmax )
        {
            as = one + fhmin / fhmax;
            at = ( fhmax - fhmin ) / fhmax;
            au = ( ga / fhmax ) * ( ga / fhmax );
            c  = two / ( sqrtf( as * as + au ) + sqrtf( at * at + au ) );
            ssmin = fhmin * c;
            ssmax = fhmax / c;
        }
        else
        {
            au = fhmax / ga;
 
            if ( au == zero )
            {
                ssmin = ( fhmin * fhmax ) / ga;
                ssmax = ga;
            }
            else
            {
                as = one + fhmin / fhmax;
                at = ( fhmax - fhmin ) / fhmax;
                temp  = as * au;
                temp2 = at * au;
                c  = one / ( sqrtf( one + temp * temp ) +
                             sqrtf( one + temp2 * temp2 ) );
                ssmin = ( fhmin * c ) * au;
                ssmin = ssmin + ssmin;
                ssmax = ga / ( c + c );
            }
        }
    }
 
    // Save the output values.
 
    *sigma1 = ssmin;
    *sigma2 = ssmax;
 
    return FLA_SUCCESS;
}

References i, temp, and temp2.

Referenced by FLA_Bsvd_compute_shift_ops(), and FLA_Sv_2x2().