lapack_int LAPACKE_dorcsd_work( int matrix_layout, char jobu1, char jobu2,
char jobv1t, char jobv2t, char trans,
char signs, lapack_int m, lapack_int p,
lapack_int q, double* x11, lapack_int ldx11,
double* x12, lapack_int ldx12, double* x21,
lapack_int ldx21, double* x22, lapack_int ldx22,
double* theta, double* u1, lapack_int ldu1,
double* u2, lapack_int ldu2, double* v1t,
lapack_int ldv1t, double* v2t, lapack_int ldv2t,
double* work, lapack_int lwork,
lapack_int* iwork )
{
lapack_int info = 0;
/* LAPACK function works with matrices in both layouts. It is supported
* through TRANS parameter. So all conversion between layouts can be
* completed in LAPACK function. See the table below which describes how
* every LAPACKE call is forwarded to corresponding LAPACK call.
*
* matrix_layout | trans_LAPACKE | -> trans_LAPACK
* | (trans) | (ltrans)
* -----------------+---------------+----------------
* LAPACK_COL_MAJOR | 'N' | -> 'N'
* LAPACK_COL_MAJOR | 'T' | -> 'T'
* LAPACK_ROW_MAJOR | 'N' | -> 'T'
* LAPACK_ROW_MAJOR | 'T' | -> 'T'
* (note that for row major layout trans parameter is ignored)
*/
if( matrix_layout == LAPACK_COL_MAJOR ||
matrix_layout == LAPACK_ROW_MAJOR ) {
char ltrans;
if( !LAPACKE_lsame( trans, 't' ) && matrix_layout == LAPACK_COL_MAJOR ) {
ltrans = 'n';
} else {
ltrans = 't';
}
/* Call LAPACK function and adjust info */
LAPACK_dorcsd( &jobu1, &jobu2, &jobv1t, &jobv2t, <rans, &signs, &m,
&p, &q, x11, &ldx11, x12, &ldx12, x21, &ldx21, x22,
&ldx22, theta, u1, &ldu1, u2, &ldu2, v1t, &ldv1t, v2t,
&ldv2t, work, &lwork, iwork, &info );
if( info < 0 ) {
info = info - 1;
}
} else {
info = -1;
LAPACKE_xerbla( "LAPACKE_dorcsd_work", info );
}
return info;
}
lapack_int LAPACKE_dorcsd_work( int matrix_order, char jobu1, char jobu2,
char jobv1t, char jobv2t, char trans,
char signs, lapack_int m, lapack_int p,
lapack_int q, double* x11, lapack_int ldx11,
double* x12, lapack_int ldx12, double* x21,
lapack_int ldx21, double* x22, lapack_int ldx22,
double* theta, double* u1, lapack_int ldu1,
double* u2, lapack_int ldu2, double* v1t,
lapack_int ldv1t, double* v2t, lapack_int ldv2t,
double* work, lapack_int lwork,
lapack_int* iwork )
{
lapack_int info = 0;
if( matrix_order == LAPACK_COL_MAJOR ) {
/* Call LAPACK function and adjust info */
LAPACK_dorcsd( &jobu1, &jobu2, &jobv1t, &jobv2t, &trans, &signs, &m, &p,
&q, x11, &ldx11, x12, &ldx12, x21, &ldx21, x22, &ldx22,
theta, u1, &ldu1, u2, &ldu2, v1t, &ldv1t, v2t, &ldv2t,
work, &lwork, iwork, &info );
if( info < 0 ) {
info = info - 1;
}
} else if( matrix_order == LAPACK_ROW_MAJOR ) {
lapack_int nrows_x11 = ( LAPACKE_lsame( trans, 'n' ) ? p : q);
lapack_int nrows_x12 = ( LAPACKE_lsame( trans, 'n' ) ? p : m-q);
lapack_int nrows_x21 = ( LAPACKE_lsame( trans, 'n' ) ? m-p : q);
lapack_int nrows_x22 = ( LAPACKE_lsame( trans, 'n' ) ? m-p : m-q);
lapack_int nrows_u1 = ( LAPACKE_lsame( jobu1, 'y' ) ? p : 1);
lapack_int nrows_u2 = ( LAPACKE_lsame( jobu2, 'y' ) ? m-p : 1);
lapack_int nrows_v1t = ( LAPACKE_lsame( jobv1t, 'y' ) ? q : 1);
lapack_int nrows_v2t = ( LAPACKE_lsame( jobv2t, 'y' ) ? m-q : 1);
lapack_int ldu1_t = MAX(1,nrows_u1);
lapack_int ldu2_t = MAX(1,nrows_u2);
lapack_int ldv1t_t = MAX(1,nrows_v1t);
lapack_int ldv2t_t = MAX(1,nrows_v2t);
lapack_int ldx11_t = MAX(1,nrows_x11);
lapack_int ldx12_t = MAX(1,nrows_x12);
lapack_int ldx21_t = MAX(1,nrows_x21);
lapack_int ldx22_t = MAX(1,nrows_x22);
double* x11_t = NULL;
double* x12_t = NULL;
double* x21_t = NULL;
double* x22_t = NULL;
double* u1_t = NULL;
double* u2_t = NULL;
double* v1t_t = NULL;
double* v2t_t = NULL;
/* Check leading dimension(s) */
if( ldu1 < p ) {
info = -21;
LAPACKE_xerbla( "LAPACKE_dorcsd_work", info );
return info;
}
if( ldu2 < m-p ) {
info = -23;
LAPACKE_xerbla( "LAPACKE_dorcsd_work", info );
return info;
}
if( ldv1t < q ) {
info = -25;
LAPACKE_xerbla( "LAPACKE_dorcsd_work", info );
return info;
}
if( ldv2t < m-q ) {
info = -27;
LAPACKE_xerbla( "LAPACKE_dorcsd_work", info );
return info;
}
if( ldx11 < q ) {
info = -12;
LAPACKE_xerbla( "LAPACKE_dorcsd_work", info );
return info;
}
if( ldx12 < m-q ) {
info = -14;
LAPACKE_xerbla( "LAPACKE_dorcsd_work", info );
return info;
}
if( ldx21 < q ) {
info = -16;
LAPACKE_xerbla( "LAPACKE_dorcsd_work", info );
return info;
}
if( ldx22 < m-q ) {
info = -18;
LAPACKE_xerbla( "LAPACKE_dorcsd_work", info );
return info;
}
/* Query optimal working array(s) size if requested */
if( lwork == -1 ) {
LAPACK_dorcsd( &jobu1, &jobu2, &jobv1t, &jobv2t, &trans, &signs, &m,
&p, &q, x11, &ldx11_t, x12, &ldx12_t, x21, &ldx21_t,
x22, &ldx22_t, theta, u1, &ldu1_t, u2, &ldu2_t, v1t,
&ldv1t_t, v2t, &ldv2t_t, work, &lwork, iwork,
&info );
return (info < 0) ? (info - 1) : info;
}
/* Allocate memory for temporary array(s) */
x11_t = (double*)LAPACKE_malloc( sizeof(double) * ldx11_t * MAX(1,q) );
if( x11_t == NULL ) {
info = LAPACK_TRANSPOSE_MEMORY_ERROR;
goto exit_level_0;
}
x12_t = (double*)
LAPACKE_malloc( sizeof(double) * ldx12_t * MAX(1,m-q) );
if( x12_t == NULL ) {
info = LAPACK_TRANSPOSE_MEMORY_ERROR;
goto exit_level_1;
}
x21_t = (double*)LAPACKE_malloc( sizeof(double) * ldx21_t * MAX(1,q) );
if( x21_t == NULL ) {
info = LAPACK_TRANSPOSE_MEMORY_ERROR;
goto exit_level_2;
}
x22_t = (double*)
LAPACKE_malloc( sizeof(double) * ldx22_t * MAX(1,m-q) );
if( x22_t == NULL ) {
info = LAPACK_TRANSPOSE_MEMORY_ERROR;
goto exit_level_3;
}
if( LAPACKE_lsame( jobu1, 'y' ) ) {
u1_t = (double*)
LAPACKE_malloc( sizeof(double) * ldu1_t * MAX(1,p) );
if( u1_t == NULL ) {
info = LAPACK_TRANSPOSE_MEMORY_ERROR;
goto exit_level_4;
}
}
if( LAPACKE_lsame( jobu2, 'y' ) ) {
u2_t = (double*)
LAPACKE_malloc( sizeof(double) * ldu2_t * MAX(1,m-p) );
if( u2_t == NULL ) {
info = LAPACK_TRANSPOSE_MEMORY_ERROR;
goto exit_level_5;
}
}
if( LAPACKE_lsame( jobv1t, 'y' ) ) {
v1t_t = (double*)
LAPACKE_malloc( sizeof(double) * ldv1t_t * MAX(1,q) );
if( v1t_t == NULL ) {
info = LAPACK_TRANSPOSE_MEMORY_ERROR;
goto exit_level_6;
}
}
if( LAPACKE_lsame( jobv2t, 'y' ) ) {
v2t_t = (double*)
LAPACKE_malloc( sizeof(double) * ldv2t_t * MAX(1,m-q) );
if( v2t_t == NULL ) {
info = LAPACK_TRANSPOSE_MEMORY_ERROR;
goto exit_level_7;
}
}
/* Transpose input matrices */
LAPACKE_dge_trans( matrix_order, nrows_x11, q, x11, ldx11, x11_t,
ldx11_t );
LAPACKE_dge_trans( matrix_order, nrows_x12, m-q, x12, ldx12, x12_t,
ldx12_t );
LAPACKE_dge_trans( matrix_order, nrows_x21, q, x21, ldx21, x21_t,
ldx21_t );
LAPACKE_dge_trans( matrix_order, nrows_x22, m-q, x22, ldx22, x22_t,
ldx22_t );
/* Call LAPACK function and adjust info */
LAPACK_dorcsd( &jobu1, &jobu2, &jobv1t, &jobv2t, &trans, &signs, &m, &p,
&q, x11_t, &ldx11_t, x12_t, &ldx12_t, x21_t, &ldx21_t,
x22_t, &ldx22_t, theta, u1_t, &ldu1_t, u2_t, &ldu2_t,
v1t_t, &ldv1t_t, v2t_t, &ldv2t_t, work, &lwork, iwork,
&info );
if( info < 0 ) {
info = info - 1;
}
/* Transpose output matrices */
LAPACKE_dge_trans( LAPACK_COL_MAJOR, nrows_x11, q, x11_t, ldx11_t, x11,
ldx11 );
LAPACKE_dge_trans( LAPACK_COL_MAJOR, nrows_x12, m-q, x12_t, ldx12_t,
x12, ldx12 );
LAPACKE_dge_trans( LAPACK_COL_MAJOR, nrows_x21, q, x21_t, ldx21_t, x21,
ldx21 );
LAPACKE_dge_trans( LAPACK_COL_MAJOR, nrows_x22, m-q, x22_t, ldx22_t,
x22, ldx22 );
if( LAPACKE_lsame( jobu1, 'y' ) ) {
LAPACKE_dge_trans( LAPACK_COL_MAJOR, nrows_u1, p, u1_t, ldu1_t, u1,
ldu1 );
}
if( LAPACKE_lsame( jobu2, 'y' ) ) {
LAPACKE_dge_trans( LAPACK_COL_MAJOR, nrows_u2, m-p, u2_t, ldu2_t,
u2, ldu2 );
}
if( LAPACKE_lsame( jobv1t, 'y' ) ) {
LAPACKE_dge_trans( LAPACK_COL_MAJOR, nrows_v1t, q, v1t_t, ldv1t_t,
v1t, ldv1t );
}
if( LAPACKE_lsame( jobv2t, 'y' ) ) {
LAPACKE_dge_trans( LAPACK_COL_MAJOR, nrows_v2t, m-q, v2t_t, ldv2t_t,
v2t, ldv2t );
}
/* Release memory and exit */
if( LAPACKE_lsame( jobv2t, 'y' ) ) {
LAPACKE_free( v2t_t );
}
exit_level_7:
if( LAPACKE_lsame( jobv1t, 'y' ) ) {
LAPACKE_free( v1t_t );
}
exit_level_6:
if( LAPACKE_lsame( jobu2, 'y' ) ) {
LAPACKE_free( u2_t );
}
exit_level_5:
if( LAPACKE_lsame( jobu1, 'y' ) ) {
LAPACKE_free( u1_t );
}
exit_level_4:
LAPACKE_free( x22_t );
exit_level_3:
LAPACKE_free( x21_t );
exit_level_2:
LAPACKE_free( x12_t );
exit_level_1:
LAPACKE_free( x11_t );
exit_level_0:
if( info == LAPACK_TRANSPOSE_MEMORY_ERROR ) {
LAPACKE_xerbla( "LAPACKE_dorcsd_work", info );
}
} else {
info = -1;
LAPACKE_xerbla( "LAPACKE_dorcsd_work", info );
}
return info;
}