Beispiel #1
0
lapack_int LAPACKE_dgeesx( int matrix_order, char jobvs, char sort,
                           LAPACK_D_SELECT2 select, char sense, lapack_int n,
                           double* a, lapack_int lda, lapack_int* sdim,
                           double* wr, double* wi, double* vs, lapack_int ldvs,
                           double* rconde, double* rcondv )
{
    lapack_int info = 0;
    lapack_int liwork = -1;
    lapack_int lwork = -1;
    lapack_logical* bwork = NULL;
    lapack_int* iwork = NULL;
    double* work = NULL;
    lapack_int iwork_query;
    double work_query;
    if( matrix_order != LAPACK_COL_MAJOR && matrix_order != LAPACK_ROW_MAJOR ) {
        LAPACKE_xerbla( "LAPACKE_dgeesx", -1 );
        return -1;
    }
#ifndef LAPACK_DISABLE_NAN_CHECK
    /* Optionally check input matrices for NaNs */
    if( LAPACKE_dge_nancheck( matrix_order, n, n, a, lda ) ) {
        return -7;
    }
#endif
    /* Allocate memory for working array(s) */
    if( LAPACKE_lsame( sort, 's' ) ) {
        bwork = (lapack_logical*)
            LAPACKE_malloc( sizeof(lapack_logical) * MAX(1,n) );
        if( bwork == NULL ) {
            info = LAPACK_WORK_MEMORY_ERROR;
            goto exit_level_0;
        }
    }
    /* Query optimal working array(s) size */
    info = LAPACKE_dgeesx_work( matrix_order, jobvs, sort, select, sense, n, a,
                                lda, sdim, wr, wi, vs, ldvs, rconde, rcondv,
                                &work_query, lwork, &iwork_query, liwork,
                                bwork );
    if( info != 0 ) {
        goto exit_level_1;
    }
    liwork = (lapack_int)iwork_query;
    lwork = (lapack_int)work_query;
    /* Allocate memory for work arrays */
    if( LAPACKE_lsame( sense, 'b' ) || LAPACKE_lsame( sense, 'v' ) ) {
        iwork = (lapack_int*)LAPACKE_malloc( sizeof(lapack_int) * liwork );
        if( iwork == NULL ) {
            info = LAPACK_WORK_MEMORY_ERROR;
            goto exit_level_1;
        }
    }
    work = (double*)LAPACKE_malloc( sizeof(double) * lwork );
    if( work == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_2;
    }
    /* Call middle-level interface */
    info = LAPACKE_dgeesx_work( matrix_order, jobvs, sort, select, sense, n, a,
                                lda, sdim, wr, wi, vs, ldvs, rconde, rcondv,
                                work, lwork, iwork, liwork, bwork );
    /* Release memory and exit */
    LAPACKE_free( work );
exit_level_2:
    if( LAPACKE_lsame( sense, 'b' ) || LAPACKE_lsame( sense, 'v' ) ) {
        LAPACKE_free( iwork );
    }
exit_level_1:
    if( LAPACKE_lsame( sort, 's' ) ) {
        LAPACKE_free( bwork );
    }
exit_level_0:
    if( info == LAPACK_WORK_MEMORY_ERROR ) {
        LAPACKE_xerbla( "LAPACKE_dgeesx", info );
    }
    return info;
}
lapack_int LAPACKE_ssbevx_work( int matrix_order, char jobz, char range,
                                char uplo, lapack_int n, lapack_int kd,
                                float* ab, lapack_int ldab, float* q,
                                lapack_int ldq, float vl, float vu,
                                lapack_int il, lapack_int iu, float abstol,
                                lapack_int* m, float* w, float* z,
                                lapack_int ldz, float* work, lapack_int* iwork,
                                lapack_int* ifail )
{
    lapack_int info = 0;
    if( matrix_order == LAPACK_COL_MAJOR ) {
        /* Call LAPACK function and adjust info */
        LAPACK_ssbevx( &jobz, &range, &uplo, &n, &kd, ab, &ldab, q, &ldq, &vl,
                       &vu, &il, &iu, &abstol, m, w, z, &ldz, work, iwork,
                       ifail, &info );
        if( info < 0 ) {
            info = info - 1;
        }
    } else if( matrix_order == LAPACK_ROW_MAJOR ) {
        lapack_int ncols_z = ( LAPACKE_lsame( range, 'a' ) ||
                               LAPACKE_lsame( range, 'v' ) ) ? n :
                             ( LAPACKE_lsame( range, 'i' ) ? (iu-il+1) : 1);
        lapack_int ldab_t = MAX(1,kd+1);
        lapack_int ldq_t = MAX(1,n);
        lapack_int ldz_t = MAX(1,n);
        float* ab_t = NULL;
        float* q_t = NULL;
        float* z_t = NULL;
        /* Check leading dimension(s) */
        if( ldab < n ) {
            info = -8;
            LAPACKE_xerbla( "LAPACKE_ssbevx_work", info );
            return info;
        }
        if( ldq < n ) {
            info = -10;
            LAPACKE_xerbla( "LAPACKE_ssbevx_work", info );
            return info;
        }
        if( ldz < ncols_z ) {
            info = -19;
            LAPACKE_xerbla( "LAPACKE_ssbevx_work", info );
            return info;
        }
        /* Allocate memory for temporary array(s) */
        ab_t = (float*)LAPACKE_malloc( sizeof(float) * ldab_t * MAX(1,n) );
        if( ab_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_0;
        }
        if( LAPACKE_lsame( jobz, 'v' ) ) {
            q_t = (float*)LAPACKE_malloc( sizeof(float) * ldq_t * MAX(1,n) );
            if( q_t == NULL ) {
                info = LAPACK_TRANSPOSE_MEMORY_ERROR;
                goto exit_level_1;
            }
        }
        if( LAPACKE_lsame( jobz, 'v' ) ) {
            z_t = (float*)
                  LAPACKE_malloc( sizeof(float) * ldz_t * MAX(1,ncols_z) );
            if( z_t == NULL ) {
                info = LAPACK_TRANSPOSE_MEMORY_ERROR;
                goto exit_level_2;
            }
        }
        /* Transpose input matrices */
        LAPACKE_ssb_trans( matrix_order, uplo, n, kd, ab, ldab, ab_t, ldab_t );
        /* Call LAPACK function and adjust info */
        LAPACK_ssbevx( &jobz, &range, &uplo, &n, &kd, ab_t, &ldab_t, q_t,
                       &ldq_t, &vl, &vu, &il, &iu, &abstol, m, w, z_t, &ldz_t,
                       work, iwork, ifail, &info );
        if( info < 0 ) {
            info = info - 1;
        }
        /* Transpose output matrices */
        LAPACKE_ssb_trans( LAPACK_COL_MAJOR, uplo, n, kd, ab_t, ldab_t, ab,
                           ldab );
        if( LAPACKE_lsame( jobz, 'v' ) ) {
            LAPACKE_sge_trans( LAPACK_COL_MAJOR, n, n, q_t, ldq_t, q, ldq );
        }
        if( LAPACKE_lsame( jobz, 'v' ) ) {
            LAPACKE_sge_trans( LAPACK_COL_MAJOR, n, ncols_z, z_t, ldz_t, z,
                               ldz );
        }
        /* Release memory and exit */
        if( LAPACKE_lsame( jobz, 'v' ) ) {
            LAPACKE_free( z_t );
        }
exit_level_2:
        if( LAPACKE_lsame( jobz, 'v' ) ) {
            LAPACKE_free( q_t );
        }
exit_level_1:
        LAPACKE_free( ab_t );
exit_level_0:
        if( info == LAPACK_TRANSPOSE_MEMORY_ERROR ) {
            LAPACKE_xerbla( "LAPACKE_ssbevx_work", info );
        }
    } else {
        info = -1;
        LAPACKE_xerbla( "LAPACKE_ssbevx_work", info );
    }
    return info;
}
Beispiel #3
0
lapack_int LAPACKE_dgges( int matrix_layout, char jobvsl, char jobvsr, char sort,
                          LAPACK_D_SELECT3 selctg, lapack_int n, double* a,
                          lapack_int lda, double* b, lapack_int ldb,
                          lapack_int* sdim, double* alphar, double* alphai,
                          double* beta, double* vsl, lapack_int ldvsl,
                          double* vsr, lapack_int ldvsr )
{
    lapack_int info = 0;
    lapack_int lwork = -1;
    lapack_logical* bwork = NULL;
    double* work = NULL;
    double work_query;
    if( matrix_layout != LAPACK_COL_MAJOR && matrix_layout != LAPACK_ROW_MAJOR ) {
        LAPACKE_xerbla( "LAPACKE_dgges", -1 );
        return -1;
    }
#ifndef LAPACK_DISABLE_NAN_CHECK
    /* Optionally check input matrices for NaNs */
    if( LAPACKE_dge_nancheck( matrix_layout, n, n, a, lda ) ) {
        return -7;
    }
    if( LAPACKE_dge_nancheck( matrix_layout, n, n, b, ldb ) ) {
        return -9;
    }
#endif
    /* Allocate memory for working array(s) */
    if( LAPACKE_lsame( sort, 's' ) ) {
        bwork = (lapack_logical*)
            LAPACKE_malloc( sizeof(lapack_logical) * MAX(1,n) );
        if( bwork == NULL ) {
            info = LAPACK_WORK_MEMORY_ERROR;
            goto exit_level_0;
        }
    }
    /* Query optimal working array(s) size */
    info = LAPACKE_dgges_work( matrix_layout, jobvsl, jobvsr, sort, selctg, n, a,
                               lda, b, ldb, sdim, alphar, alphai, beta, vsl,
                               ldvsl, vsr, ldvsr, &work_query, lwork, bwork );
    if( info != 0 ) {
        goto exit_level_1;
    }
    lwork = (lapack_int)work_query;
    /* Allocate memory for work arrays */
    work = (double*)LAPACKE_malloc( sizeof(double) * lwork );
    if( work == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_1;
    }
    /* Call middle-level interface */
    info = LAPACKE_dgges_work( matrix_layout, jobvsl, jobvsr, sort, selctg, n, a,
                               lda, b, ldb, sdim, alphar, alphai, beta, vsl,
                               ldvsl, vsr, ldvsr, work, lwork, bwork );
    /* Release memory and exit */
    LAPACKE_free( work );
exit_level_1:
    if( LAPACKE_lsame( sort, 's' ) ) {
        LAPACKE_free( bwork );
    }
exit_level_0:
    if( info == LAPACK_WORK_MEMORY_ERROR ) {
        LAPACKE_xerbla( "LAPACKE_dgges", info );
    }
    return info;
}
Beispiel #4
0
lapack_int LAPACKE_dgbsvx( int matrix_order, char fact, char trans,
                           lapack_int n, lapack_int kl, lapack_int ku,
                           lapack_int nrhs, double* ab, lapack_int ldab,
                           double* afb, lapack_int ldafb, lapack_int* ipiv,
                           char* equed, double* r, double* c, double* b,
                           lapack_int ldb, double* x, lapack_int ldx,
                           double* rcond, double* ferr, double* berr,
                           double* rpivot )
{
    lapack_int info = 0;
    lapack_int* iwork = NULL;
    double* work = NULL;
    if( matrix_order != LAPACK_COL_MAJOR && matrix_order != LAPACK_ROW_MAJOR ) {
        LAPACKE_xerbla( "LAPACKE_dgbsvx", -1 );
        return -1;
    }
#ifndef LAPACK_DISABLE_NAN_CHECK
    /* Optionally check input matrices for NaNs */
    if( LAPACKE_dgb_nancheck( matrix_order, n, n, kl, ku, ab, ldab ) ) {
        return -8;
    }
    if( LAPACKE_lsame( fact, 'f' ) ) {
        if( LAPACKE_dgb_nancheck( matrix_order, n, n, kl, kl+ku, afb,
            ldafb ) ) {
            return -10;
        }
    }
    if( LAPACKE_dge_nancheck( matrix_order, n, nrhs, b, ldb ) ) {
        return -16;
    }
    if( LAPACKE_lsame( fact, 'f' ) && ( LAPACKE_lsame( *equed, 'b' ) ||
        LAPACKE_lsame( *equed, 'c' ) ) ) {
        if( LAPACKE_d_nancheck( n, c, 1 ) ) {
            return -15;
        }
    }
    if( LAPACKE_lsame( fact, 'f' ) && ( LAPACKE_lsame( *equed, 'b' ) ||
        LAPACKE_lsame( *equed, 'r' ) ) ) {
        if( LAPACKE_d_nancheck( n, r, 1 ) ) {
            return -14;
        }
    }
#endif
    /* Allocate memory for working array(s) */
    iwork = (lapack_int*)LAPACKE_malloc( sizeof(lapack_int) * MAX(1,n) );
    if( iwork == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_0;
    }
    work = (double*)LAPACKE_malloc( sizeof(double) * MAX(1,3*n) );
    if( work == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_1;
    }
    /* Call middle-level interface */
    info = LAPACKE_dgbsvx_work( matrix_order, fact, trans, n, kl, ku, nrhs, ab,
                                ldab, afb, ldafb, ipiv, equed, r, c, b, ldb, x,
                                ldx, rcond, ferr, berr, work, iwork );
    /* Backup significant data from working array(s) */
    *rpivot = work[0];
    /* Release memory and exit */
    LAPACKE_free( work );
exit_level_1:
    LAPACKE_free( iwork );
exit_level_0:
    if( info == LAPACK_WORK_MEMORY_ERROR ) {
        LAPACKE_xerbla( "LAPACKE_dgbsvx", info );
    }
    return info;
}
lapack_int LAPACKE_dgbsvxx( int matrix_layout, char fact, char trans,
                            lapack_int n, lapack_int kl, lapack_int ku,
                            lapack_int nrhs, double* ab, lapack_int ldab,
                            double* afb, lapack_int ldafb, lapack_int* ipiv,
                            char* equed, double* r, double* c, double* b,
                            lapack_int ldb, double* x, lapack_int ldx,
                            double* rcond, double* rpvgrw, double* berr,
                            lapack_int n_err_bnds, double* err_bnds_norm,
                            double* err_bnds_comp, lapack_int nparams,
                            double* params )
{
    lapack_int info = 0;
    lapack_int* iwork = NULL;
    double* work = NULL;
    if( matrix_layout != LAPACK_COL_MAJOR && matrix_layout != LAPACK_ROW_MAJOR ) {
        LAPACKE_xerbla( "LAPACKE_dgbsvxx", -1 );
        return -1;
    }
#ifndef LAPACK_DISABLE_NAN_CHECK
    if( LAPACKE_get_nancheck() ) {
        /* Optionally check input matrices for NaNs */
        if( LAPACKE_dgb_nancheck( matrix_layout, n, n, kl, ku, ab, ldab ) ) {
            return -8;
        }
        if( LAPACKE_lsame( fact, 'f' ) ) {
            if( LAPACKE_dgb_nancheck( matrix_layout, n, n, kl, kl+ku, afb,
                ldafb ) ) {
                return -10;
            }
        }
        if( LAPACKE_dge_nancheck( matrix_layout, n, nrhs, b, ldb ) ) {
            return -16;
        }
        if( LAPACKE_lsame( fact, 'f' ) && ( LAPACKE_lsame( *equed, 'b' ) ||
            LAPACKE_lsame( *equed, 'c' ) ) ) {
            if( LAPACKE_d_nancheck( n, c, 1 ) ) {
                return -15;
            }
        }
        if( nparams>0 ) {
            if( LAPACKE_d_nancheck( nparams, params, 1 ) ) {
                return -27;
            }
        }
        if( LAPACKE_lsame( fact, 'f' ) && ( LAPACKE_lsame( *equed, 'b' ) ||
            LAPACKE_lsame( *equed, 'r' ) ) ) {
            if( LAPACKE_d_nancheck( n, r, 1 ) ) {
                return -14;
            }
        }
    }
#endif
    /* Allocate memory for working array(s) */
    iwork = (lapack_int*)LAPACKE_malloc( sizeof(lapack_int) * MAX(1,n) );
    if( iwork == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_0;
    }
    work = (double*)LAPACKE_malloc( sizeof(double) * MAX(1,4*n) );
    if( work == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_1;
    }
    /* Call middle-level interface */
    info = LAPACKE_dgbsvxx_work( matrix_layout, fact, trans, n, kl, ku, nrhs, ab,
                                 ldab, afb, ldafb, ipiv, equed, r, c, b, ldb, x,
                                 ldx, rcond, rpvgrw, berr, n_err_bnds,
                                 err_bnds_norm, err_bnds_comp, nparams, params,
                                 work, iwork );
    /* Release memory and exit */
    LAPACKE_free( work );
exit_level_1:
    LAPACKE_free( iwork );
exit_level_0:
    if( info == LAPACK_WORK_MEMORY_ERROR ) {
        LAPACKE_xerbla( "LAPACKE_dgbsvxx", info );
    }
    return info;
}
Beispiel #6
0
lapack_int LAPACKE_dtprfb_work( int matrix_order, char side, char trans,
                                char direct, char storev, lapack_int m,
                                lapack_int n, lapack_int k, lapack_int l,
                                const double* v, lapack_int ldv,
                                const double* t, lapack_int ldt, double* a,
                                lapack_int lda, double* b, lapack_int ldb,
                                const double* work, lapack_int ldwork )
{
    lapack_int info = 0;
    if( matrix_order == LAPACK_COL_MAJOR ) {
        /* Call LAPACK function and adjust info */
        LAPACK_dtprfb( &side, &trans, &direct, &storev, &m, &n, &k, &l, v, &ldv,
                       t, &ldt, a, &lda, b, &ldb, work, &ldwork );
        if( info < 0 ) {
            info = info - 1;
        }
    } else if( matrix_order == LAPACK_ROW_MAJOR ) {
        lapack_int r = LAPACKE_lsame( side, 'r' ) ? k : k;
        lapack_int lda_t = MAX(1,k);
        lapack_int ldb_t = MAX(1,m);
        lapack_int ldt_t = MAX(1,ldt);
        lapack_int ldv_t = MAX(1,ldv);
        double* v_t = NULL;
        double* t_t = NULL;
        double* a_t = NULL;
        double* b_t = NULL;
        /* Check leading dimension(s) */
        if( lda < m ) {
            info = -15;
            LAPACKE_xerbla( "LAPACKE_dtprfb_work", info );
            return info;
        }
        if( ldb < n ) {
            info = -17;
            LAPACKE_xerbla( "LAPACKE_dtprfb_work", info );
            return info;
        }
        if( ldt < k ) {
            info = -13;
            LAPACKE_xerbla( "LAPACKE_dtprfb_work", info );
            return info;
        }
        if( ldv < k ) {
            info = -11;
            LAPACKE_xerbla( "LAPACKE_dtprfb_work", info );
            return info;
        }
        /* Allocate memory for temporary array(s) */
        v_t = (double*)LAPACKE_malloc( sizeof(double) * ldv_t * MAX(1,k) );
        if( v_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_0;
        }
        t_t = (double*)LAPACKE_malloc( sizeof(double) * ldt_t * MAX(1,k) );
        if( t_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_1;
        }
        a_t = (double*)LAPACKE_malloc( sizeof(double) * lda_t * MAX(1,m) );
        if( a_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_2;
        }
        b_t = (double*)LAPACKE_malloc( sizeof(double) * ldb_t * MAX(1,n) );
        if( b_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_3;
        }
        /* Transpose input matrices */
        LAPACKE_dge_trans( matrix_order, ldv, k, v, ldv, v_t, ldv_t );
        LAPACKE_dge_trans( matrix_order, ldt, k, t, ldt, t_t, ldt_t );
        LAPACKE_dge_trans( matrix_order, k, m, a, lda, a_t, lda_t );
        LAPACKE_dge_trans( matrix_order, m, n, b, ldb, b_t, ldb_t );
        /* Call LAPACK function and adjust info */
        LAPACK_dtprfb( &side, &trans, &direct, &storev, &m, &n, &k, &l, v_t,
                       &ldv_t, t_t, &ldt_t, a_t, &lda_t, b_t, &ldb_t, work,
                       &ldwork );
        info = 0;  /* LAPACK call is ok! */
        /* Transpose output matrices */
        LAPACKE_dge_trans( LAPACK_COL_MAJOR, k, m, a_t, lda_t, a, lda );
        LAPACKE_dge_trans( LAPACK_COL_MAJOR, m, n, b_t, ldb_t, b, ldb );
        /* Release memory and exit */
        LAPACKE_free( b_t );
exit_level_3:
        LAPACKE_free( a_t );
exit_level_2:
        LAPACKE_free( t_t );
exit_level_1:
        LAPACKE_free( v_t );
exit_level_0:
        if( info == LAPACK_TRANSPOSE_MEMORY_ERROR ) {
            LAPACKE_xerbla( "LAPACKE_dtprfb_work", info );
        }
    } else {
        info = -1;
        LAPACKE_xerbla( "LAPACKE_dtprfb_work", info );
    }
    return info;
}
lapack_int LAPACKE_ssyevr( int matrix_layout, char jobz, char range, char uplo,
                           lapack_int n, float* a, lapack_int lda, float vl,
                           float vu, lapack_int il, lapack_int iu, float abstol,
                           lapack_int* m, float* w, float* z, lapack_int ldz,
                           lapack_int* isuppz )
{
    lapack_int info = 0;
    lapack_int liwork = -1;
    lapack_int lwork = -1;
    lapack_int* iwork = NULL;
    float* work = NULL;
    lapack_int iwork_query;
    float work_query;
    if( matrix_layout != LAPACK_COL_MAJOR && matrix_layout != LAPACK_ROW_MAJOR ) {
        LAPACKE_xerbla( "LAPACKE_ssyevr", -1 );
        return -1;
    }
#ifndef LAPACK_DISABLE_NAN_CHECK
    if( LAPACKE_get_nancheck() ) {
        /* Optionally check input matrices for NaNs */
        if( LAPACKE_ssy_nancheck( matrix_layout, uplo, n, a, lda ) ) {
            return -6;
        }
        if( LAPACKE_s_nancheck( 1, &abstol, 1 ) ) {
            return -12;
        }
        if( LAPACKE_lsame( range, 'v' ) ) {
            if( LAPACKE_s_nancheck( 1, &vl, 1 ) ) {
                return -8;
            }
        }
        if( LAPACKE_lsame( range, 'v' ) ) {
            if( LAPACKE_s_nancheck( 1, &vu, 1 ) ) {
                return -9;
            }
        }
    }
#endif
    /* Query optimal working array(s) size */
    info = LAPACKE_ssyevr_work( matrix_layout, jobz, range, uplo, n, a, lda, vl,
                                vu, il, iu, abstol, m, w, z, ldz, isuppz,
                                &work_query, lwork, &iwork_query, liwork );
    if( info != 0 ) {
        goto exit_level_0;
    }
    liwork = (lapack_int)iwork_query;
    lwork = (lapack_int)work_query;
    /* Allocate memory for work arrays */
    iwork = (lapack_int*)LAPACKE_malloc( sizeof(lapack_int) * liwork );
    if( iwork == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_0;
    }
    work = (float*)LAPACKE_malloc( sizeof(float) * lwork );
    if( work == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_1;
    }
    /* Call middle-level interface */
    info = LAPACKE_ssyevr_work( matrix_layout, jobz, range, uplo, n, a, lda, vl,
                                vu, il, iu, abstol, m, w, z, ldz, isuppz, work,
                                lwork, iwork, liwork );
    /* Release memory and exit */
    LAPACKE_free( work );
exit_level_1:
    LAPACKE_free( iwork );
exit_level_0:
    if( info == LAPACK_WORK_MEMORY_ERROR ) {
        LAPACKE_xerbla( "LAPACKE_ssyevr", info );
    }
    return info;
}
Beispiel #8
0
lapack_int LAPACKE_cheevx( int matrix_order, char jobz, char range, char uplo,
                           lapack_int n, lapack_complex_float* a,
                           lapack_int lda, float vl, float vu, lapack_int il,
                           lapack_int iu, float abstol, lapack_int* m, float* w,
                           lapack_complex_float* z, lapack_int ldz,
                           lapack_int* ifail )
{
    lapack_int info = 0;
    lapack_int lwork = -1;
    lapack_int* iwork = NULL;
    float* rwork = NULL;
    lapack_complex_float* work = NULL;
    lapack_complex_float work_query;
    if( matrix_order != LAPACK_COL_MAJOR && matrix_order != LAPACK_ROW_MAJOR ) {
        LAPACKE_xerbla( "LAPACKE_cheevx", -1 );
        return -1;
    }
#ifndef LAPACK_DISABLE_NAN_CHECK
    /* Optionally check input matrices for NaNs */
    if( LAPACKE_che_nancheck( matrix_order, uplo, n, a, lda ) ) {
        return -6;
    }
    if( LAPACKE_s_nancheck( 1, &abstol, 1 ) ) {
        return -12;
    }
    if( LAPACKE_lsame( range, 'v' ) ) {
        if( LAPACKE_s_nancheck( 1, &vl, 1 ) ) {
            return -8;
        }
    }
    if( LAPACKE_lsame( range, 'v' ) ) {
        if( LAPACKE_s_nancheck( 1, &vu, 1 ) ) {
            return -9;
        }
    }
#endif
    /* Allocate memory for working array(s) */
    iwork = (lapack_int*)LAPACKE_malloc( sizeof(lapack_int) * MAX(1,5*n) );
    if( iwork == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_0;
    }
    rwork = (float*)LAPACKE_malloc( sizeof(float) * MAX(1,7*n) );
    if( rwork == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_1;
    }
    /* Query optimal working array(s) size */
    info = LAPACKE_cheevx_work( matrix_order, jobz, range, uplo, n, a, lda, vl,
                                vu, il, iu, abstol, m, w, z, ldz, &work_query,
                                lwork, rwork, iwork, ifail );
    if( info != 0 ) {
        goto exit_level_2;
    }
    lwork = LAPACK_C2INT( work_query );
    /* Allocate memory for work arrays */
    work = (lapack_complex_float*)
        LAPACKE_malloc( sizeof(lapack_complex_float) * lwork );
    if( work == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_2;
    }
    /* Call middle-level interface */
    info = LAPACKE_cheevx_work( matrix_order, jobz, range, uplo, n, a, lda, vl,
                                vu, il, iu, abstol, m, w, z, ldz, work, lwork,
                                rwork, iwork, ifail );
    /* Release memory and exit */
    LAPACKE_free( work );
exit_level_2:
    LAPACKE_free( rwork );
exit_level_1:
    LAPACKE_free( iwork );
exit_level_0:
    if( info == LAPACK_WORK_MEMORY_ERROR ) {
        LAPACKE_xerbla( "LAPACKE_cheevx", info );
    }
    return info;
}
lapack_int LAPACKE_zgesvj_work( int matrix_layout, char joba, char jobu,
                                char jobv, lapack_int m, lapack_int n,
                                lapack_complex_double* a, lapack_int lda,
                                double* sva, lapack_int mv,
                                lapack_complex_double* v, lapack_int ldv,
                                lapack_complex_double* cwork, lapack_int lwork,
                                double* rwork, lapack_int lrwork )
{
    lapack_int info = 0;
    if( matrix_layout == LAPACK_COL_MAJOR ) {
        /* Call LAPACK function and adjust info */
        LAPACK_zgesvj( &joba, &jobu, &jobv, &m, &n, a, &lda, sva, &mv, v, &ldv,
                       cwork, &lwork, rwork, &lrwork, &info );
        if( info < 0 ) {
            info = info - 1;
        }
    } else if( matrix_layout == LAPACK_ROW_MAJOR ) {
        lapack_int nrows_v = LAPACKE_lsame( jobv, 'v' ) ? MAX(0,n) :
                           ( LAPACKE_lsame( jobv, 'a' ) ? MAX(0,mv) : 0);
        lapack_int lda_t = MAX(1,m);
        lapack_int ldv_t = MAX(1,nrows_v);
        lapack_complex_double* a_t = NULL;
        lapack_complex_double* v_t = NULL;
        /* Check leading dimension(s) */
        if( lda < n ) {
            info = -8;
            LAPACKE_xerbla( "LAPACKE_zgesvj_work", info );
            return info;
        }
        if( ldv < n ) {
            info = -12;
            LAPACKE_xerbla( "LAPACKE_zgesvj_work", info );
            return info;
        }
        /* Allocate memory for temporary array(s) */
        a_t = (lapack_complex_double*)
           LAPACKE_malloc( sizeof(lapack_complex_double) * lda_t * MAX(1,n) );
        if( a_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_0;
        }
        if( LAPACKE_lsame( jobv, 'a' ) || LAPACKE_lsame( jobv, 'v' ) ) {
            v_t = (lapack_complex_double*)
               LAPACKE_malloc( sizeof(lapack_complex_double) * ldv_t * MAX(1,n) );
            if( v_t == NULL ) {
                info = LAPACK_TRANSPOSE_MEMORY_ERROR;
                goto exit_level_1;
            }
        }
        /* Transpose input matrices */
        LAPACKE_zge_trans( matrix_layout, m, n, a, lda, a_t, lda_t );
        if( LAPACKE_lsame( jobv, 'a' ) ) {
            LAPACKE_zge_trans( matrix_layout, nrows_v, n, v, ldv, v_t, ldv_t );
        }
        /* Call LAPACK function and adjust info */
        LAPACK_zgesvj( &joba, &jobu, &jobv, &m, &n, a_t, &lda_t, sva, &mv, v_t,
                       &ldv_t, cwork, &lwork, rwork, &lrwork, &info );
        if( info < 0 ) {
            info = info - 1;
        }
        /* Transpose output matrices */
        LAPACKE_zge_trans( LAPACK_COL_MAJOR, m, n, a_t, lda_t, a, lda );
        if( LAPACKE_lsame( jobv, 'a' ) || LAPACKE_lsame( jobv, 'v' ) ) {
            LAPACKE_zge_trans( LAPACK_COL_MAJOR, nrows_v, n, v_t, ldv_t, v,
                               ldv );
        }
        /* Release memory and exit */
        if( LAPACKE_lsame( jobv, 'a' ) || LAPACKE_lsame( jobv, 'v' ) ) {
            LAPACKE_free( v_t );
        }
exit_level_1:
        LAPACKE_free( a_t );
exit_level_0:
        if( info == LAPACK_TRANSPOSE_MEMORY_ERROR ) {
            LAPACKE_xerbla( "LAPACKE_zgesvj_work", info );
        }
    } else {
        info = -1;
        LAPACKE_xerbla( "LAPACKE_zgesvj_work", info );
    }
    return info;
}
lapack_int LAPACKE_zsysvxx_work( int matrix_order, char fact, char uplo,
                                 lapack_int n, lapack_int nrhs,
                                 lapack_complex_double* a, lapack_int lda,
                                 lapack_complex_double* af, lapack_int ldaf,
                                 lapack_int* ipiv, char* equed, double* s,
                                 lapack_complex_double* b, lapack_int ldb,
                                 lapack_complex_double* x, lapack_int ldx,
                                 double* rcond, double* rpvgrw, double* berr,
                                 lapack_int n_err_bnds, double* err_bnds_norm,
                                 double* err_bnds_comp, lapack_int nparams,
                                 double* params, lapack_complex_double* work,
                                 double* rwork )
{
    lapack_int info = 0;
    if( matrix_order == LAPACK_COL_MAJOR ) {
        /* Call LAPACK function and adjust info */
        LAPACK_zsysvxx( &fact, &uplo, &n, &nrhs, a, &lda, af, &ldaf, ipiv,
                        equed, s, b, &ldb, x, &ldx, rcond, rpvgrw, berr,
                        &n_err_bnds, err_bnds_norm, err_bnds_comp, &nparams,
                        params, work, rwork, &info );
        if( info < 0 ) {
            info = info - 1;
        }
    } else if( matrix_order == LAPACK_ROW_MAJOR ) {
        lapack_int lda_t = MAX(1,n);
        lapack_int ldaf_t = MAX(1,n);
        lapack_int ldb_t = MAX(1,n);
        lapack_int ldx_t = MAX(1,n);
        lapack_complex_double* a_t = NULL;
        lapack_complex_double* af_t = NULL;
        lapack_complex_double* b_t = NULL;
        lapack_complex_double* x_t = NULL;
        double* err_bnds_norm_t = NULL;
        double* err_bnds_comp_t = NULL;
        /* Check leading dimension(s) */
        if( lda < n ) {
            info = -7;
            LAPACKE_xerbla( "LAPACKE_zsysvxx_work", info );
            return info;
        }
        if( ldaf < n ) {
            info = -9;
            LAPACKE_xerbla( "LAPACKE_zsysvxx_work", info );
            return info;
        }
        if( ldb < nrhs ) {
            info = -14;
            LAPACKE_xerbla( "LAPACKE_zsysvxx_work", info );
            return info;
        }
        if( ldx < nrhs ) {
            info = -16;
            LAPACKE_xerbla( "LAPACKE_zsysvxx_work", info );
            return info;
        }
        /* Allocate memory for temporary array(s) */
        a_t = (lapack_complex_double*)
            LAPACKE_malloc( sizeof(lapack_complex_double) * lda_t * MAX(1,n) );
        if( a_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_0;
        }
        af_t = (lapack_complex_double*)
            LAPACKE_malloc( sizeof(lapack_complex_double) * ldaf_t * MAX(1,n) );
        if( af_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_1;
        }
        b_t = (lapack_complex_double*)
            LAPACKE_malloc( sizeof(lapack_complex_double) *
                            ldb_t * MAX(1,nrhs) );
        if( b_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_2;
        }
        x_t = (lapack_complex_double*)
            LAPACKE_malloc( sizeof(lapack_complex_double) *
                            ldx_t * MAX(1,nrhs) );
        if( x_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_3;
        }
        err_bnds_norm_t = (double*)
            LAPACKE_malloc( sizeof(double) * nrhs * MAX(1,n_err_bnds) );
        if( err_bnds_norm_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_4;
        }
        err_bnds_comp_t = (double*)
            LAPACKE_malloc( sizeof(double) * nrhs * MAX(1,n_err_bnds) );
        if( err_bnds_comp_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_5;
        }
        /* Transpose input matrices */
        LAPACKE_zsy_trans( matrix_order, uplo, n, a, lda, a_t, lda_t );
        if( LAPACKE_lsame( fact, 'f' ) ) {
            LAPACKE_zsy_trans( matrix_order, uplo, n, af, ldaf, af_t, ldaf_t );
        }
        LAPACKE_zge_trans( matrix_order, n, nrhs, b, ldb, b_t, ldb_t );
        /* Call LAPACK function and adjust info */
        LAPACK_zsysvxx( &fact, &uplo, &n, &nrhs, a_t, &lda_t, af_t, &ldaf_t,
                        ipiv, equed, s, b_t, &ldb_t, x_t, &ldx_t, rcond, rpvgrw,
                        berr, &n_err_bnds, err_bnds_norm_t, err_bnds_comp_t,
                        &nparams, params, work, rwork, &info );
        if( info < 0 ) {
            info = info - 1;
        }
        /* Transpose output matrices */
        if( LAPACKE_lsame( fact, 'e' ) && LAPACKE_lsame( *equed, 'y' ) ) {
            LAPACKE_zsy_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda );
        }
        if( LAPACKE_lsame( fact, 'e' ) || LAPACKE_lsame( fact, 'n' ) ) {
            LAPACKE_zsy_trans( LAPACK_COL_MAJOR, uplo, n, af_t, ldaf_t, af,
                               ldaf );
        }
        if( LAPACKE_lsame( fact, 'f' ) && LAPACKE_lsame( *equed, 'y' ) ) {
            LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, nrhs, b_t, ldb_t, b, ldb );
        }
        LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, nrhs, x_t, ldx_t, x, ldx );
        LAPACKE_dge_trans( LAPACK_COL_MAJOR, nrhs, n_err_bnds, err_bnds_norm_t,
                           nrhs, err_bnds_norm, nrhs );
        LAPACKE_dge_trans( LAPACK_COL_MAJOR, nrhs, n_err_bnds, err_bnds_comp_t,
                           nrhs, err_bnds_comp, nrhs );
        /* Release memory and exit */
        LAPACKE_free( err_bnds_comp_t );
exit_level_5:
        LAPACKE_free( err_bnds_norm_t );
exit_level_4:
        LAPACKE_free( x_t );
exit_level_3:
        LAPACKE_free( b_t );
exit_level_2:
        LAPACKE_free( af_t );
exit_level_1:
        LAPACKE_free( a_t );
exit_level_0:
        if( info == LAPACK_TRANSPOSE_MEMORY_ERROR ) {
            LAPACKE_xerbla( "LAPACKE_zsysvxx_work", info );
        }
    } else {
        info = -1;
        LAPACKE_xerbla( "LAPACKE_zsysvxx_work", info );
    }
    return info;
}
Beispiel #11
0
lapack_int LAPACKE_chgeqz_work( int matrix_layout, char job, char compq,
                                char compz, lapack_int n, lapack_int ilo,
                                lapack_int ihi, lapack_complex_float* h,
                                lapack_int ldh, lapack_complex_float* t,
                                lapack_int ldt, lapack_complex_float* alpha,
                                lapack_complex_float* beta,
                                lapack_complex_float* q, lapack_int ldq,
                                lapack_complex_float* z, lapack_int ldz,
                                lapack_complex_float* work, lapack_int lwork,
                                float* rwork )
{
    lapack_int info = 0;
    if( matrix_layout == LAPACK_COL_MAJOR ) {
        /* Call LAPACK function and adjust info */
        LAPACK_chgeqz( &job, &compq, &compz, &n, &ilo, &ihi, h, &ldh, t, &ldt,
                       alpha, beta, q, &ldq, z, &ldz, work, &lwork, rwork,
                       &info );
        if( info < 0 ) {
            info = info - 1;
        }
    } else if( matrix_layout == LAPACK_ROW_MAJOR ) {
        lapack_int ldh_t = MAX(1,n);
        lapack_int ldq_t = MAX(1,n);
        lapack_int ldt_t = MAX(1,n);
        lapack_int ldz_t = MAX(1,n);
        lapack_complex_float* h_t = NULL;
        lapack_complex_float* t_t = NULL;
        lapack_complex_float* q_t = NULL;
        lapack_complex_float* z_t = NULL;
        /* Check leading dimension(s) */
        if( ldh < n ) {
            info = -9;
            LAPACKE_xerbla( "LAPACKE_chgeqz_work", info );
            return info;
        }
        if( ldq < n ) {
            info = -15;
            LAPACKE_xerbla( "LAPACKE_chgeqz_work", info );
            return info;
        }
        if( ldt < n ) {
            info = -11;
            LAPACKE_xerbla( "LAPACKE_chgeqz_work", info );
            return info;
        }
        if( ldz < n ) {
            info = -17;
            LAPACKE_xerbla( "LAPACKE_chgeqz_work", info );
            return info;
        }
        /* Query optimal working array(s) size if requested */
        if( lwork == -1 ) {
            LAPACK_chgeqz( &job, &compq, &compz, &n, &ilo, &ihi, h, &ldh_t, t,
                           &ldt_t, alpha, beta, q, &ldq_t, z, &ldz_t, work,
                           &lwork, rwork, &info );
            return (info < 0) ? (info - 1) : info;
        }
        /* Allocate memory for temporary array(s) */
        h_t = (lapack_complex_float*)
            LAPACKE_malloc( sizeof(lapack_complex_float) * ldh_t * MAX(1,n) );
        if( h_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_0;
        }
        t_t = (lapack_complex_float*)
            LAPACKE_malloc( sizeof(lapack_complex_float) * ldt_t * MAX(1,n) );
        if( t_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_1;
        }
        if( LAPACKE_lsame( compq, 'i' ) || LAPACKE_lsame( compq, 'v' ) ) {
            q_t = (lapack_complex_float*)
                LAPACKE_malloc( sizeof(lapack_complex_float) *
                                ldq_t * MAX(1,n) );
            if( q_t == NULL ) {
                info = LAPACK_TRANSPOSE_MEMORY_ERROR;
                goto exit_level_2;
            }
        }
        if( LAPACKE_lsame( compz, 'i' ) || LAPACKE_lsame( compz, 'v' ) ) {
            z_t = (lapack_complex_float*)
                LAPACKE_malloc( sizeof(lapack_complex_float) *
                                ldz_t * MAX(1,n) );
            if( z_t == NULL ) {
                info = LAPACK_TRANSPOSE_MEMORY_ERROR;
                goto exit_level_3;
            }
        }
        /* Transpose input matrices */
        LAPACKE_cge_trans( matrix_layout, n, n, h, ldh, h_t, ldh_t );
        LAPACKE_cge_trans( matrix_layout, n, n, t, ldt, t_t, ldt_t );
        if( LAPACKE_lsame( compq, 'v' ) ) {
            LAPACKE_cge_trans( matrix_layout, n, n, q, ldq, q_t, ldq_t );
        }
        if( LAPACKE_lsame( compz, 'v' ) ) {
            LAPACKE_cge_trans( matrix_layout, n, n, z, ldz, z_t, ldz_t );
        }
        /* Call LAPACK function and adjust info */
        LAPACK_chgeqz( &job, &compq, &compz, &n, &ilo, &ihi, h_t, &ldh_t, t_t,
                       &ldt_t, alpha, beta, q_t, &ldq_t, z_t, &ldz_t, work,
                       &lwork, rwork, &info );
        if( info < 0 ) {
            info = info - 1;
        }
        /* Transpose output matrices */
        LAPACKE_cge_trans( LAPACK_COL_MAJOR, n, n, h_t, ldh_t, h, ldh );
        LAPACKE_cge_trans( LAPACK_COL_MAJOR, n, n, t_t, ldt_t, t, ldt );
        if( LAPACKE_lsame( compq, 'i' ) || LAPACKE_lsame( compq, 'v' ) ) {
            LAPACKE_cge_trans( LAPACK_COL_MAJOR, n, n, q_t, ldq_t, q, ldq );
        }
        if( LAPACKE_lsame( compz, 'i' ) || LAPACKE_lsame( compz, 'v' ) ) {
            LAPACKE_cge_trans( LAPACK_COL_MAJOR, n, n, z_t, ldz_t, z, ldz );
        }
        /* Release memory and exit */
        if( LAPACKE_lsame( compz, 'i' ) || LAPACKE_lsame( compz, 'v' ) ) {
            LAPACKE_free( z_t );
        }
exit_level_3:
        if( LAPACKE_lsame( compq, 'i' ) || LAPACKE_lsame( compq, 'v' ) ) {
            LAPACKE_free( q_t );
        }
exit_level_2:
        LAPACKE_free( t_t );
exit_level_1:
        LAPACKE_free( h_t );
exit_level_0:
        if( info == LAPACK_TRANSPOSE_MEMORY_ERROR ) {
            LAPACKE_xerbla( "LAPACKE_chgeqz_work", info );
        }
    } else {
        info = -1;
        LAPACKE_xerbla( "LAPACKE_chgeqz_work", info );
    }
    return info;
}
lapack_int LAPACKE_zgeev_work( int matrix_order, char jobvl, char jobvr,
                               lapack_int n, lapack_complex_double* a,
                               lapack_int lda, lapack_complex_double* w,
                               lapack_complex_double* vl, lapack_int ldvl,
                               lapack_complex_double* vr, lapack_int ldvr,
                               lapack_complex_double* work, lapack_int lwork,
                               double* rwork )
{
    lapack_int info = 0;
    if( matrix_order == LAPACK_COL_MAJOR ) {
        /* Call LAPACK function and adjust info */
        LAPACK_zgeev( &jobvl, &jobvr, &n, a, &lda, w, vl, &ldvl, vr, &ldvr,
                      work, &lwork, rwork, &info );
        if( info < 0 ) {
            info = info - 1;
        }
    } else if( matrix_order == LAPACK_ROW_MAJOR ) {
        lapack_int lda_t = MAX(1,n);
        lapack_int ldvl_t = MAX(1,n);
        lapack_int ldvr_t = MAX(1,n);
        lapack_complex_double* a_t = NULL;
        lapack_complex_double* vl_t = NULL;
        lapack_complex_double* vr_t = NULL;
        /* Check leading dimension(s) */
        if( lda < n ) {
            info = -6;
            LAPACKE_xerbla( "LAPACKE_zgeev_work", info );
            return info;
        }
        if( ldvl < n ) {
            info = -9;
            LAPACKE_xerbla( "LAPACKE_zgeev_work", info );
            return info;
        }
        if( ldvr < n ) {
            info = -11;
            LAPACKE_xerbla( "LAPACKE_zgeev_work", info );
            return info;
        }
        /* Query optimal working array(s) size if requested */
        if( lwork == -1 ) {
            LAPACK_zgeev( &jobvl, &jobvr, &n, a, &lda_t, w, vl, &ldvl_t, vr,
                          &ldvr_t, work, &lwork, rwork, &info );
            return (info < 0) ? (info - 1) : info;
        }
        /* Allocate memory for temporary array(s) */
        a_t = (lapack_complex_double*)
            LAPACKE_malloc( sizeof(lapack_complex_double) * lda_t * MAX(1,n) );
        if( a_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_0;
        }
        if( LAPACKE_lsame( jobvl, 'v' ) ) {
            vl_t = (lapack_complex_double*)
                LAPACKE_malloc( sizeof(lapack_complex_double) *
                                ldvl_t * MAX(1,n) );
            if( vl_t == NULL ) {
                info = LAPACK_TRANSPOSE_MEMORY_ERROR;
                goto exit_level_1;
            }
        }
        if( LAPACKE_lsame( jobvr, 'v' ) ) {
            vr_t = (lapack_complex_double*)
                LAPACKE_malloc( sizeof(lapack_complex_double) *
                                ldvr_t * MAX(1,n) );
            if( vr_t == NULL ) {
                info = LAPACK_TRANSPOSE_MEMORY_ERROR;
                goto exit_level_2;
            }
        }
        /* Transpose input matrices */
        LAPACKE_zge_trans( matrix_order, n, n, a, lda, a_t, lda_t );
        /* Call LAPACK function and adjust info */
        LAPACK_zgeev( &jobvl, &jobvr, &n, a_t, &lda_t, w, vl_t, &ldvl_t, vr_t,
                      &ldvr_t, work, &lwork, rwork, &info );
        if( info < 0 ) {
            info = info - 1;
        }
        /* Transpose output matrices */
        LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, a_t, lda_t, a, lda );
        if( LAPACKE_lsame( jobvl, 'v' ) ) {
            LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, vl_t, ldvl_t, vl, ldvl );
        }
        if( LAPACKE_lsame( jobvr, 'v' ) ) {
            LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, vr_t, ldvr_t, vr, ldvr );
        }
        /* Release memory and exit */
        if( LAPACKE_lsame( jobvr, 'v' ) ) {
            LAPACKE_free( vr_t );
        }
exit_level_2:
        if( LAPACKE_lsame( jobvl, 'v' ) ) {
            LAPACKE_free( vl_t );
        }
exit_level_1:
        LAPACKE_free( a_t );
exit_level_0:
        if( info == LAPACK_TRANSPOSE_MEMORY_ERROR ) {
            LAPACKE_xerbla( "LAPACKE_zgeev_work", info );
        }
    } else {
        info = -1;
        LAPACKE_xerbla( "LAPACKE_zgeev_work", info );
    }
    return info;
}
Beispiel #13
0
lapack_int LAPACKE_strsen( int matrix_order, char job, char compq,
                           const lapack_logical* select, lapack_int n, float* t,
                           lapack_int ldt, float* q, lapack_int ldq, float* wr,
                           float* wi, lapack_int* m, float* s, float* sep )
{
    lapack_int info = 0;
    lapack_int liwork = -1;
    lapack_int lwork = -1;
    lapack_int* iwork = NULL;
    float* work = NULL;
    lapack_int iwork_query;
    float work_query;
    if( matrix_order != LAPACK_COL_MAJOR && matrix_order != LAPACK_ROW_MAJOR ) {
        LAPACKE_xerbla( "LAPACKE_strsen", -1 );
        return -1;
    }
#ifndef LAPACK_DISABLE_NAN_CHECK
    /* Optionally check input matrices for NaNs */
    if( LAPACKE_lsame( compq, 'v' ) ) {
        if( LAPACKE_sge_nancheck( matrix_order, n, n, q, ldq ) ) {
            return -8;
        }
    }
    if( LAPACKE_sge_nancheck( matrix_order, n, n, t, ldt ) ) {
        return -6;
    }
#endif
    /* Query optimal working array(s) size */
    info = LAPACKE_strsen_work( matrix_order, job, compq, select, n, t, ldt, q,
                                ldq, wr, wi, m, s, sep, &work_query, lwork,
                                &iwork_query, liwork );
    if( info != 0 ) {
        goto exit_level_0;
    }
    liwork = (lapack_int)iwork_query;
    lwork = (lapack_int)work_query;
    /* Allocate memory for work arrays */
    if( LAPACKE_lsame( job, 'b' ) || LAPACKE_lsame( job, 'v' ) ) {
        iwork = (lapack_int*)LAPACKE_malloc( sizeof(lapack_int) * liwork );
        if( iwork == NULL ) {
            info = LAPACK_WORK_MEMORY_ERROR;
            goto exit_level_0;
        }
    }
    work = (float*)LAPACKE_malloc( sizeof(float) * lwork );
    if( work == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_1;
    }
    /* Call middle-level interface */
    info = LAPACKE_strsen_work( matrix_order, job, compq, select, n, t, ldt, q,
                                ldq, wr, wi, m, s, sep, work, lwork, iwork,
                                liwork );
    /* Release memory and exit */
    LAPACKE_free( work );
exit_level_1:
    if( LAPACKE_lsame( job, 'b' ) || LAPACKE_lsame( job, 'v' ) ) {
        LAPACKE_free( iwork );
    }
exit_level_0:
    if( info == LAPACK_WORK_MEMORY_ERROR ) {
        LAPACKE_xerbla( "LAPACKE_strsen", info );
    }
    return info;
}
lapack_int LAPACKE_zhbevd_2stage_work( int matrix_layout, char jobz, char uplo,
                                lapack_int n, lapack_int kd,
                                lapack_complex_double* ab, lapack_int ldab,
                                double* w, lapack_complex_double* z,
                                lapack_int ldz, lapack_complex_double* work,
                                lapack_int lwork, double* rwork,
                                lapack_int lrwork, lapack_int* iwork,
                                lapack_int liwork )
{
    lapack_int info = 0;
    if( matrix_layout == LAPACK_COL_MAJOR ) {
        /* Call LAPACK function and adjust info */
        LAPACK_zhbevd_2stage( &jobz, &uplo, &n, &kd, ab, &ldab, w, z, &ldz, work,
                       &lwork, rwork, &lrwork, iwork, &liwork, &info );
        if( info < 0 ) {
            info = info - 1;
        }
    } else if( matrix_layout == LAPACK_ROW_MAJOR ) {
        lapack_int ldab_t = MAX(1,kd+1);
        lapack_int ldz_t = MAX(1,n);
        lapack_complex_double* ab_t = NULL;
        lapack_complex_double* z_t = NULL;
        /* Check leading dimension(s) */
        if( ldab < n ) {
            info = -7;
            LAPACKE_xerbla( "LAPACKE_zhbevd_2stage_work", info );
            return info;
        }
        if( ldz < n ) {
            info = -10;
            LAPACKE_xerbla( "LAPACKE_zhbevd_2stage_work", info );
            return info;
        }
        /* Query optimal working array(s) size if requested */
        if( liwork == -1 || lrwork == -1 || lwork == -1 ) {
            LAPACK_zhbevd_2stage( &jobz, &uplo, &n, &kd, ab, &ldab_t, w, z, &ldz_t,
                           work, &lwork, rwork, &lrwork, iwork, &liwork,
                           &info );
            return (info < 0) ? (info - 1) : info;
        }
        /* Allocate memory for temporary array(s) */
        ab_t = (lapack_complex_double*)
            LAPACKE_malloc( sizeof(lapack_complex_double) * ldab_t * MAX(1,n) );
        if( ab_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_0;
        }
        if( LAPACKE_lsame( jobz, 'v' ) ) {
            z_t = (lapack_complex_double*)
                LAPACKE_malloc( sizeof(lapack_complex_double) *
                                ldz_t * MAX(1,n) );
            if( z_t == NULL ) {
                info = LAPACK_TRANSPOSE_MEMORY_ERROR;
                goto exit_level_1;
            }
        }
        /* Transpose input matrices */
        LAPACKE_zhb_trans( matrix_layout, uplo, n, kd, ab, ldab, ab_t, ldab_t );
        /* Call LAPACK function and adjust info */
        LAPACK_zhbevd_2stage( &jobz, &uplo, &n, &kd, ab_t, &ldab_t, w, z_t, &ldz_t,
                       work, &lwork, rwork, &lrwork, iwork, &liwork, &info );
        if( info < 0 ) {
            info = info - 1;
        }
        /* Transpose output matrices */
        LAPACKE_zhb_trans( LAPACK_COL_MAJOR, uplo, n, kd, ab_t, ldab_t, ab,
                           ldab );
        if( LAPACKE_lsame( jobz, 'v' ) ) {
            LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, z_t, ldz_t, z, ldz );
        }
        /* Release memory and exit */
        if( LAPACKE_lsame( jobz, 'v' ) ) {
            LAPACKE_free( z_t );
        }
exit_level_1:
        LAPACKE_free( ab_t );
exit_level_0:
        if( info == LAPACK_TRANSPOSE_MEMORY_ERROR ) {
            LAPACKE_xerbla( "LAPACKE_zhbevd_2stage_work", info );
        }
    } else {
        info = -1;
        LAPACKE_xerbla( "LAPACKE_zhbevd_2stage_work", info );
    }
    return info;
}
lapack_int LAPACKE_sggsvd3_work( int matrix_layout, char jobu, char jobv,
                                 char jobq, lapack_int m, lapack_int n,
                                 lapack_int p, lapack_int* k, lapack_int* l,
                                 float* a, lapack_int lda, float* b,
                                 lapack_int ldb, float* alpha, float* beta,
                                 float* u, lapack_int ldu, float* v,
                                 lapack_int ldv, float* q, lapack_int ldq,
                                 float* work, lapack_int lwork,
                                 lapack_int* iwork )
{
    lapack_int info = 0;
    if( matrix_layout == LAPACK_COL_MAJOR ) {
        /* Call LAPACK function and adjust info */
        LAPACK_sggsvd3( &jobu, &jobv, &jobq, &m, &n, &p, k, l, a, &lda,
                        b, &ldb, alpha, beta, u, &ldu, v, &ldv, q, &ldq,
                        work, &lwork, iwork, &info );
        if( info < 0 ) {
            info = info - 1;
        }
    } else if( matrix_layout == LAPACK_ROW_MAJOR ) {
        lapack_int lda_t = MAX(1,m);
        lapack_int ldb_t = MAX(1,p);
        lapack_int ldq_t = MAX(1,n);
        lapack_int ldu_t = MAX(1,m);
        lapack_int ldv_t = MAX(1,p);
        float* a_t = NULL;
        float* b_t = NULL;
        float* u_t = NULL;
        float* v_t = NULL;
        float* q_t = NULL;
        /* Check leading dimension(s) */
        if( lda < n ) {
            info = -11;
            LAPACKE_xerbla( "LAPACKE_sggsvd3_work", info );
            return info;
        }
        if( ldb < n ) {
            info = -13;
            LAPACKE_xerbla( "LAPACKE_sggsvd3_work", info );
            return info;
        }
        if( ldq < n ) {
            info = -21;
            LAPACKE_xerbla( "LAPACKE_sggsvd3_work", info );
            return info;
        }
        if( ldu < m ) {
            info = -17;
            LAPACKE_xerbla( "LAPACKE_sggsvd3_work", info );
            return info;
        }
        if( ldv < p ) {
            info = -19;
            LAPACKE_xerbla( "LAPACKE_sggsvd3_work", info );
            return info;
        }
        /* Query optimal working array(s) size if requested */
        if( lwork == -1 ) {
          LAPACK_sggsvd3( &jobu, &jobv, &jobq, &m, &n, &p, k, l, a, &lda_t,
                          b, &ldb_t, alpha, beta, u, &ldu_t, v, &ldv_t,
                          q, &ldq_t, work, &lwork, iwork, &info );
          return (info < 0) ? (info - 1) : info;
        }

        /* Allocate memory for temporary array(s) */
        a_t = (float*)LAPACKE_malloc( sizeof(float) * lda_t * MAX(1,n) );
        if( a_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_0;
        }
        b_t = (float*)LAPACKE_malloc( sizeof(float) * ldb_t * MAX(1,n) );
        if( b_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_1;
        }
        if( LAPACKE_lsame( jobu, 'u' ) ) {
            u_t = (float*)LAPACKE_malloc( sizeof(float) * ldu_t * MAX(1,m) );
            if( u_t == NULL ) {
                info = LAPACK_TRANSPOSE_MEMORY_ERROR;
                goto exit_level_2;
            }
        }
        if( LAPACKE_lsame( jobv, 'v' ) ) {
            v_t = (float*)LAPACKE_malloc( sizeof(float) * ldv_t * MAX(1,p) );
            if( v_t == NULL ) {
                info = LAPACK_TRANSPOSE_MEMORY_ERROR;
                goto exit_level_3;
            }
        }
        if( LAPACKE_lsame( jobq, 'q' ) ) {
            q_t = (float*)LAPACKE_malloc( sizeof(float) * ldq_t * MAX(1,n) );
            if( q_t == NULL ) {
                info = LAPACK_TRANSPOSE_MEMORY_ERROR;
                goto exit_level_4;
            }
        }
        /* Transpose input matrices */
        LAPACKE_sge_trans( matrix_layout, m, n, a, lda, a_t, lda_t );
        LAPACKE_sge_trans( matrix_layout, p, n, b, ldb, b_t, ldb_t );
        /* Call LAPACK function and adjust info */
        LAPACK_sggsvd3( &jobu, &jobv, &jobq, &m, &n, &p, k, l, a_t, &lda_t, b_t,
                        &ldb_t, alpha, beta, u_t, &ldu_t, v_t, &ldv_t, q_t,
                        &ldq_t, work, &lwork, iwork, &info );
        if( info < 0 ) {
            info = info - 1;
        }
        /* Transpose output matrices */
        LAPACKE_sge_trans( LAPACK_COL_MAJOR, m, n, a_t, lda_t, a, lda );
        LAPACKE_sge_trans( LAPACK_COL_MAJOR, p, n, b_t, ldb_t, b, ldb );
        if( LAPACKE_lsame( jobu, 'u' ) ) {
            LAPACKE_sge_trans( LAPACK_COL_MAJOR, m, m, u_t, ldu_t, u, ldu );
        }
        if( LAPACKE_lsame( jobv, 'v' ) ) {
            LAPACKE_sge_trans( LAPACK_COL_MAJOR, p, p, v_t, ldv_t, v, ldv );
        }
        if( LAPACKE_lsame( jobq, 'q' ) ) {
            LAPACKE_sge_trans( LAPACK_COL_MAJOR, n, n, q_t, ldq_t, q, ldq );
        }
        /* Release memory and exit */
        if( LAPACKE_lsame( jobq, 'q' ) ) {
            LAPACKE_free( q_t );
        }
exit_level_4:
        if( LAPACKE_lsame( jobv, 'v' ) ) {
            LAPACKE_free( v_t );
        }
exit_level_3:
        if( LAPACKE_lsame( jobu, 'u' ) ) {
            LAPACKE_free( u_t );
        }
exit_level_2:
        LAPACKE_free( b_t );
exit_level_1:
        LAPACKE_free( a_t );
exit_level_0:
        if( info == LAPACK_TRANSPOSE_MEMORY_ERROR ) {
            LAPACKE_xerbla( "LAPACKE_sggsvd3_work", info );
        }
    } else {
        info = -1;
        LAPACKE_xerbla( "LAPACKE_sggsvd3_work", info );
    }
    return info;
}
lapack_int LAPACKE_zhseqr_work( int matrix_order, char job, char compz,
                                lapack_int n, lapack_int ilo, lapack_int ihi,
                                lapack_complex_double* h, lapack_int ldh,
                                lapack_complex_double* w,
                                lapack_complex_double* z, lapack_int ldz,
                                lapack_complex_double* work, lapack_int lwork )
{
    lapack_int info = 0;
    if( matrix_order == LAPACK_COL_MAJOR ) {
        /* Call LAPACK function and adjust info */
        LAPACK_zhseqr( &job, &compz, &n, &ilo, &ihi, h, &ldh, w, z, &ldz, work,
                       &lwork, &info );
        if( info < 0 ) {
            info = info - 1;
        }
    } else if( matrix_order == LAPACK_ROW_MAJOR ) {
        lapack_int ldh_t = MAX(1,n);
        lapack_int ldz_t = MAX(1,n);
        lapack_complex_double* h_t = NULL;
        lapack_complex_double* z_t = NULL;
        /* Check leading dimension(s) */
        if( ldh < n ) {
            info = -8;
            LAPACKE_xerbla( "LAPACKE_zhseqr_work", info );
            return info;
        }
        if( ldz < n ) {
            info = -11;
            LAPACKE_xerbla( "LAPACKE_zhseqr_work", info );
            return info;
        }
        /* Query optimal working array(s) size if requested */
        if( lwork == -1 ) {
            LAPACK_zhseqr( &job, &compz, &n, &ilo, &ihi, h, &ldh_t, w, z,
                           &ldz_t, work, &lwork, &info );
            return (info < 0) ? (info - 1) : info;
        }
        /* Allocate memory for temporary array(s) */
        h_t = (lapack_complex_double*)
            LAPACKE_malloc( sizeof(lapack_complex_double) * ldh_t * MAX(1,n) );
        if( h_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_0;
        }
        if( LAPACKE_lsame( compz, 'i' ) || LAPACKE_lsame( compz, 'v' ) ) {
            z_t = (lapack_complex_double*)
                LAPACKE_malloc( sizeof(lapack_complex_double) *
                                ldz_t * MAX(1,n) );
            if( z_t == NULL ) {
                info = LAPACK_TRANSPOSE_MEMORY_ERROR;
                goto exit_level_1;
            }
        }
        /* Transpose input matrices */
        LAPACKE_zge_trans( matrix_order, n, n, h, ldh, h_t, ldh_t );
        if( LAPACKE_lsame( compz, 'v' ) ) {
            LAPACKE_zge_trans( matrix_order, n, n, z, ldz, z_t, ldz_t );
        }
        /* Call LAPACK function and adjust info */
        LAPACK_zhseqr( &job, &compz, &n, &ilo, &ihi, h_t, &ldh_t, w, z_t,
                       &ldz_t, work, &lwork, &info );
        if( info < 0 ) {
            info = info - 1;
        }
        /* Transpose output matrices */
        LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, h_t, ldh_t, h, ldh );
        if( LAPACKE_lsame( compz, 'i' ) || LAPACKE_lsame( compz, 'v' ) ) {
            LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, z_t, ldz_t, z, ldz );
        }
        /* Release memory and exit */
        if( LAPACKE_lsame( compz, 'i' ) || LAPACKE_lsame( compz, 'v' ) ) {
            LAPACKE_free( z_t );
        }
exit_level_1:
        LAPACKE_free( h_t );
exit_level_0:
        if( info == LAPACK_TRANSPOSE_MEMORY_ERROR ) {
            LAPACKE_xerbla( "LAPACKE_zhseqr_work", info );
        }
    } else {
        info = -1;
        LAPACKE_xerbla( "LAPACKE_zhseqr_work", info );
    }
    return info;
}
lapack_int LAPACKE_zhpgvd_work( int matrix_order, lapack_int itype, char jobz,
                                char uplo, lapack_int n,
                                lapack_complex_double* ap,
                                lapack_complex_double* bp, double* w,
                                lapack_complex_double* z, lapack_int ldz,
                                lapack_complex_double* work, lapack_int lwork,
                                double* rwork, lapack_int lrwork,
                                lapack_int* iwork, lapack_int liwork )
{
    lapack_int info = 0;
    if( matrix_order == LAPACK_COL_MAJOR ) {
        /* Call LAPACK function and adjust info */
        LAPACK_zhpgvd( &itype, &jobz, &uplo, &n, ap, bp, w, z, &ldz, work,
                       &lwork, rwork, &lrwork, iwork, &liwork, &info );
        if( info < 0 ) {
            info = info - 1;
        }
    } else if( matrix_order == LAPACK_ROW_MAJOR ) {
        lapack_int ldz_t = MAX(1,n);
        lapack_complex_double* z_t = NULL;
        lapack_complex_double* ap_t = NULL;
        lapack_complex_double* bp_t = NULL;
        /* Check leading dimension(s) */
        if( ldz < n ) {
            info = -10;
            LAPACKE_xerbla( "LAPACKE_zhpgvd_work", info );
            return info;
        }
        /* Query optimal working array(s) size if requested */
        if( liwork == -1 || lrwork == -1 || lwork == -1 ) {
            LAPACK_zhpgvd( &itype, &jobz, &uplo, &n, ap, bp, w, z, &ldz_t, work,
                           &lwork, rwork, &lrwork, iwork, &liwork, &info );
            return (info < 0) ? (info - 1) : info;
        }
        /* Allocate memory for temporary array(s) */
        if( LAPACKE_lsame( jobz, 'v' ) ) {
            z_t = (lapack_complex_double*)
                LAPACKE_malloc( sizeof(lapack_complex_double) *
                                ldz_t * MAX(1,n) );
            if( z_t == NULL ) {
                info = LAPACK_TRANSPOSE_MEMORY_ERROR;
                goto exit_level_0;
            }
        }
        ap_t = (lapack_complex_double*)
            LAPACKE_malloc( sizeof(lapack_complex_double) *
                            ( MAX(1,n) * MAX(2,n+1) ) / 2 );
        if( ap_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_1;
        }
        bp_t = (lapack_complex_double*)
            LAPACKE_malloc( sizeof(lapack_complex_double) *
                            ( MAX(1,n) * MAX(2,n+1) ) / 2 );
        if( bp_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_2;
        }
        /* Transpose input matrices */
        LAPACKE_zhp_trans( matrix_order, uplo, n, ap, ap_t );
        LAPACKE_zhp_trans( matrix_order, uplo, n, bp, bp_t );
        /* Call LAPACK function and adjust info */
        LAPACK_zhpgvd( &itype, &jobz, &uplo, &n, ap_t, bp_t, w, z_t, &ldz_t,
                       work, &lwork, rwork, &lrwork, iwork, &liwork, &info );
        if( info < 0 ) {
            info = info - 1;
        }
        /* Transpose output matrices */
        if( LAPACKE_lsame( jobz, 'v' ) ) {
            LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, z_t, ldz_t, z, ldz );
        }
        LAPACKE_zhp_trans( LAPACK_COL_MAJOR, uplo, n, ap_t, ap );
        LAPACKE_zhp_trans( LAPACK_COL_MAJOR, uplo, n, bp_t, bp );
        /* Release memory and exit */
        LAPACKE_free( bp_t );
exit_level_2:
        LAPACKE_free( ap_t );
exit_level_1:
        if( LAPACKE_lsame( jobz, 'v' ) ) {
            LAPACKE_free( z_t );
        }
exit_level_0:
        if( info == LAPACK_TRANSPOSE_MEMORY_ERROR ) {
            LAPACKE_xerbla( "LAPACKE_zhpgvd_work", info );
        }
    } else {
        info = -1;
        LAPACKE_xerbla( "LAPACKE_zhpgvd_work", info );
    }
    return info;
}
Beispiel #18
0
lapack_int LAPACKE_dbbcsd( int matrix_layout, char jobu1, char jobu2,
                           char jobv1t, char jobv2t, char trans, lapack_int m,
                           lapack_int p, lapack_int q, double* theta,
                           double* phi, double* u1, lapack_int ldu1, double* u2,
                           lapack_int ldu2, double* v1t, lapack_int ldv1t,
                           double* v2t, lapack_int ldv2t, double* b11d,
                           double* b11e, double* b12d, double* b12e,
                           double* b21d, double* b21e, double* b22d,
                           double* b22e )
{
    lapack_int info = 0;
    lapack_int lwork = -1;
    double* work = NULL;
    double work_query;
    int lapack_layout;
    if( matrix_layout != LAPACK_COL_MAJOR && matrix_layout != LAPACK_ROW_MAJOR ) {
        LAPACKE_xerbla( "LAPACKE_dbbcsd", -1 );
        return -1;
    }
    if( LAPACKE_lsame( trans, 'n' ) && matrix_layout == LAPACK_COL_MAJOR ) {
        lapack_layout = LAPACK_COL_MAJOR;
    } else {
        lapack_layout = LAPACK_ROW_MAJOR;
    }
#ifndef LAPACK_DISABLE_NAN_CHECK
    /* Optionally check input matrices for NaNs */
    if( LAPACKE_d_nancheck( q-1, phi, 1 ) ) {
        return -11;
    }
    if( LAPACKE_d_nancheck( q, theta, 1 ) ) {
        return -10;
    }
    if( LAPACKE_lsame( jobu1, 'y' ) ) {
        if( LAPACKE_dge_nancheck( lapack_layout, p, p, u1, ldu1 ) ) {
            return -12;
        }
    }
    if( LAPACKE_lsame( jobu2, 'y' ) ) {
        if( LAPACKE_dge_nancheck( lapack_layout, m-p, m-p, u2, ldu2 ) ) {
            return -14;
        }
    }
    if( LAPACKE_lsame( jobv1t, 'y' ) ) {
        if( LAPACKE_dge_nancheck( lapack_layout, q, q, v1t, ldv1t ) ) {
            return -16;
        }
    }
    if( LAPACKE_lsame( jobv2t, 'y' ) ) {
        if( LAPACKE_dge_nancheck( lapack_layout, m-q, m-q, v2t, ldv2t ) ) {
            return -18;
        }
    }
#endif
    /* Query optimal working array(s) size */
    info = LAPACKE_dbbcsd_work( matrix_layout, jobu1, jobu2, jobv1t, jobv2t,
                                trans, m, p, q, theta, phi, u1, ldu1, u2, ldu2,
                                v1t, ldv1t, v2t, ldv2t, b11d, b11e, b12d, b12e,
                                b21d, b21e, b22d, b22e, &work_query, lwork );
    if( info != 0 ) {
        goto exit_level_0;
    }
    lwork = (lapack_int)work_query;
    /* Allocate memory for work arrays */
    work = (double*)LAPACKE_malloc( sizeof(double) * lwork );
    if( work == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_0;
    }
    /* Call middle-level interface */
    info = LAPACKE_dbbcsd_work( matrix_layout, jobu1, jobu2, jobv1t, jobv2t,
                                trans, m, p, q, theta, phi, u1, ldu1, u2, ldu2,
                                v1t, ldv1t, v2t, ldv2t, b11d, b11e, b12d, b12e,
                                b21d, b21e, b22d, b22e, work, lwork );
    /* Release memory and exit */
    LAPACKE_free( work );
exit_level_0:
    if( info == LAPACK_WORK_MEMORY_ERROR ) {
        LAPACKE_xerbla( "LAPACKE_dbbcsd", info );
    }
    return info;
}
lapack_int LAPACKE_sgesvx_work( int matrix_order, char fact, char trans,
                                lapack_int n, lapack_int nrhs, float* a,
                                lapack_int lda, float* af, lapack_int ldaf,
                                lapack_int* ipiv, char* equed, float* r,
                                float* c, float* b, lapack_int ldb, float* x,
                                lapack_int ldx, float* rcond, float* ferr,
                                float* berr, float* work, lapack_int* iwork )
{
    lapack_int info = 0;
    if( matrix_order == LAPACK_COL_MAJOR ) {
        /* Call LAPACK function and adjust info */
        LAPACK_sgesvx( &fact, &trans, &n, &nrhs, a, &lda, af, &ldaf, ipiv,
                       equed, r, c, b, &ldb, x, &ldx, rcond, ferr, berr, work,
                       iwork, &info );
        if( info < 0 ) {
            info = info - 1;
        }
    } else if( matrix_order == LAPACK_ROW_MAJOR ) {
        lapack_int lda_t = MAX(1,n);
        lapack_int ldaf_t = MAX(1,n);
        lapack_int ldb_t = MAX(1,n);
        lapack_int ldx_t = MAX(1,n);
        float* a_t = NULL;
        float* af_t = NULL;
        float* b_t = NULL;
        float* x_t = NULL;
        /* Check leading dimension(s) */
        if( lda < n ) {
            info = -7;
            LAPACKE_xerbla( "LAPACKE_sgesvx_work", info );
            return info;
        }
        if( ldaf < n ) {
            info = -9;
            LAPACKE_xerbla( "LAPACKE_sgesvx_work", info );
            return info;
        }
        if( ldb < nrhs ) {
            info = -15;
            LAPACKE_xerbla( "LAPACKE_sgesvx_work", info );
            return info;
        }
        if( ldx < nrhs ) {
            info = -17;
            LAPACKE_xerbla( "LAPACKE_sgesvx_work", info );
            return info;
        }
        /* Allocate memory for temporary array(s) */
        a_t = (float*)LAPACKE_malloc( sizeof(float) * lda_t * MAX(1,n) );
        if( a_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_0;
        }
        af_t = (float*)LAPACKE_malloc( sizeof(float) * ldaf_t * MAX(1,n) );
        if( af_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_1;
        }
        b_t = (float*)LAPACKE_malloc( sizeof(float) * ldb_t * MAX(1,nrhs) );
        if( b_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_2;
        }
        x_t = (float*)LAPACKE_malloc( sizeof(float) * ldx_t * MAX(1,nrhs) );
        if( x_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_3;
        }
        /* Transpose input matrices */
        LAPACKE_sge_trans( matrix_order, n, n, a, lda, a_t, lda_t );
        if( LAPACKE_lsame( fact, 'f' ) ) {
            LAPACKE_sge_trans( matrix_order, n, n, af, ldaf, af_t, ldaf_t );
        }
        LAPACKE_sge_trans( matrix_order, n, nrhs, b, ldb, b_t, ldb_t );
        /* Call LAPACK function and adjust info */
        LAPACK_sgesvx( &fact, &trans, &n, &nrhs, a_t, &lda_t, af_t, &ldaf_t,
                       ipiv, equed, r, c, b_t, &ldb_t, x_t, &ldx_t, rcond, ferr,
                       berr, work, iwork, &info );
        if( info < 0 ) {
            info = info - 1;
        }
        /* Transpose output matrices */
        if( LAPACKE_lsame( fact, 'e' ) && ( LAPACKE_lsame( *equed, 'b' ) ||
            LAPACKE_lsame( *equed, 'c' ) || LAPACKE_lsame( *equed, 'r' ) ) ) {
            LAPACKE_sge_trans( LAPACK_COL_MAJOR, n, n, a_t, lda_t, a, lda );
        }
        if( LAPACKE_lsame( fact, 'e' ) || LAPACKE_lsame( fact, 'n' ) ) {
            LAPACKE_sge_trans( LAPACK_COL_MAJOR, n, n, af_t, ldaf_t, af, ldaf );
        }
        if( LAPACKE_lsame( fact, 'f' ) && ( LAPACKE_lsame( *equed, 'b' ) ||
            LAPACKE_lsame( *equed, 'c' ) || LAPACKE_lsame( *equed, 'r' ) ) ) {
            LAPACKE_sge_trans( LAPACK_COL_MAJOR, n, nrhs, b_t, ldb_t, b, ldb );
        }
        LAPACKE_sge_trans( LAPACK_COL_MAJOR, n, nrhs, x_t, ldx_t, x, ldx );
        /* Release memory and exit */
        LAPACKE_free( x_t );
exit_level_3:
        LAPACKE_free( b_t );
exit_level_2:
        LAPACKE_free( af_t );
exit_level_1:
        LAPACKE_free( a_t );
exit_level_0:
        if( info == LAPACK_TRANSPOSE_MEMORY_ERROR ) {
            LAPACKE_xerbla( "LAPACKE_sgesvx_work", info );
        }
    } else {
        info = -1;
        LAPACKE_xerbla( "LAPACKE_sgesvx_work", info );
    }
    return info;
}
lapack_int LAPACKE_zsysvxx( int matrix_order, char fact, char uplo,
                            lapack_int n, lapack_int nrhs,
                            lapack_complex_double* a, lapack_int lda,
                            lapack_complex_double* af, lapack_int ldaf,
                            lapack_int* ipiv, char* equed, double* s,
                            lapack_complex_double* b, lapack_int ldb,
                            lapack_complex_double* x, lapack_int ldx,
                            double* rcond, double* rpvgrw, double* berr,
                            lapack_int n_err_bnds, double* err_bnds_norm,
                            double* err_bnds_comp, lapack_int nparams,
                            double* params )
{
    lapack_int info = 0;
    double* rwork = NULL;
    lapack_complex_double* work = NULL;
    if( matrix_order != LAPACK_COL_MAJOR && matrix_order != LAPACK_ROW_MAJOR ) {
        LAPACKE_xerbla( "LAPACKE_zsysvxx", -1 );
        return -1;
    }
#ifndef LAPACK_DISABLE_NAN_CHECK
    /* Optionally check input matrices for NaNs */
    if( LAPACKE_zsy_nancheck( matrix_order, uplo, n, a, lda ) ) {
        return -6;
    }
    if( LAPACKE_lsame( fact, 'f' ) ) {
        if( LAPACKE_zsy_nancheck( matrix_order, uplo, n, af, ldaf ) ) {
            return -8;
        }
    }
    if( LAPACKE_zge_nancheck( matrix_order, n, nrhs, b, ldb ) ) {
        return -13;
    }
    if( nparams>0 ) {
        if( LAPACKE_d_nancheck( nparams, params, 1 ) ) {
            return -24;
        }
    }
    if( LAPACKE_lsame( fact, 'f' ) ) {
        if( LAPACKE_d_nancheck( n, s, 1 ) ) {
            return -12;
        }
    }
#endif
    /* Allocate memory for working array(s) */
    rwork = (double*)LAPACKE_malloc( sizeof(double) * MAX(1,3*n) );
    if( rwork == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_0;
    }
    work = (lapack_complex_double*)
           LAPACKE_malloc( sizeof(lapack_complex_double) * MAX(1,2*n) );
    if( work == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_1;
    }
    /* Call middle-level interface */
    info = LAPACKE_zsysvxx_work( matrix_order, fact, uplo, n, nrhs, a, lda, af,
                                 ldaf, ipiv, equed, s, b, ldb, x, ldx, rcond,
                                 rpvgrw, berr, n_err_bnds, err_bnds_norm,
                                 err_bnds_comp, nparams, params, work, rwork );
    /* Release memory and exit */
    LAPACKE_free( work );
exit_level_1:
    LAPACKE_free( rwork );
exit_level_0:
    if( info == LAPACK_WORK_MEMORY_ERROR ) {
        LAPACKE_xerbla( "LAPACKE_zsysvxx", info );
    }
    return info;
}
lapack_int LAPACKE_cheevr_work( int matrix_order, char jobz, char range,
                                char uplo, lapack_int n,
                                lapack_complex_float* a, lapack_int lda,
                                float vl, float vu, lapack_int il,
                                lapack_int iu, float abstol, lapack_int* m,
                                float* w, lapack_complex_float* z,
                                lapack_int ldz, lapack_int* isuppz,
                                lapack_complex_float* work, lapack_int lwork,
                                float* rwork, lapack_int lrwork,
                                lapack_int* iwork, lapack_int liwork )
{
    lapack_int info = 0;
    if( matrix_order == LAPACK_COL_MAJOR ) {
        /* Call LAPACK function and adjust info */
        LAPACK_cheevr( &jobz, &range, &uplo, &n, a, &lda, &vl, &vu, &il, &iu,
                       &abstol, m, w, z, &ldz, isuppz, work, &lwork, rwork,
                       &lrwork, iwork, &liwork, &info );
        if( info < 0 ) {
            info = info - 1;
        }
    } else if( matrix_order == LAPACK_ROW_MAJOR ) {
        lapack_int ncols_z = ( LAPACKE_lsame( range, 'a' ) ||
                             LAPACKE_lsame( range, 'v' ) ) ? n :
                             ( LAPACKE_lsame( range, 'i' ) ? (iu-il+1) : 1);
        lapack_int lda_t = MAX(1,n);
        lapack_int ldz_t = MAX(1,n);
        lapack_complex_float* a_t = NULL;
        lapack_complex_float* z_t = NULL;
        /* Check leading dimension(s) */
        if( lda < n ) {
            info = -7;
            LAPACKE_xerbla( "LAPACKE_cheevr_work", info );
            return info;
        }
        if( ldz < ncols_z ) {
            info = -16;
            LAPACKE_xerbla( "LAPACKE_cheevr_work", info );
            return info;
        }
        /* Query optimal working array(s) size if requested */
        if( liwork == -1 || lrwork == -1 || lwork == -1 ) {
            LAPACK_cheevr( &jobz, &range, &uplo, &n, a, &lda_t, &vl, &vu, &il,
                           &iu, &abstol, m, w, z, &ldz_t, isuppz, work, &lwork,
                           rwork, &lrwork, iwork, &liwork, &info );
            return (info < 0) ? (info - 1) : info;
        }
        /* Allocate memory for temporary array(s) */
        a_t = (lapack_complex_float*)
            LAPACKE_malloc( sizeof(lapack_complex_float) * lda_t * MAX(1,n) );
        if( a_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_0;
        }
        if( LAPACKE_lsame( jobz, 'v' ) ) {
            z_t = (lapack_complex_float*)
                LAPACKE_malloc( sizeof(lapack_complex_float) *
                                ldz_t * MAX(1,ncols_z) );
            if( z_t == NULL ) {
                info = LAPACK_TRANSPOSE_MEMORY_ERROR;
                goto exit_level_1;
            }
        }
        /* Transpose input matrices */
        LAPACKE_che_trans( matrix_order, uplo, n, a, lda, a_t, lda_t );
        /* Call LAPACK function and adjust info */
        LAPACK_cheevr( &jobz, &range, &uplo, &n, a_t, &lda_t, &vl, &vu, &il,
                       &iu, &abstol, m, w, z_t, &ldz_t, isuppz, work, &lwork,
                       rwork, &lrwork, iwork, &liwork, &info );
        if( info < 0 ) {
            info = info - 1;
        }
        /* Transpose output matrices */
        LAPACKE_che_trans( LAPACK_COL_MAJOR, uplo, n, a_t, lda_t, a, lda );
        if( LAPACKE_lsame( jobz, 'v' ) ) {
            LAPACKE_cge_trans( LAPACK_COL_MAJOR, n, ncols_z, z_t, ldz_t, z,
                               ldz );
        }
        /* Release memory and exit */
        if( LAPACKE_lsame( jobz, 'v' ) ) {
            LAPACKE_free( z_t );
        }
exit_level_1:
        LAPACKE_free( a_t );
exit_level_0:
        if( info == LAPACK_TRANSPOSE_MEMORY_ERROR ) {
            LAPACKE_xerbla( "LAPACKE_cheevr_work", info );
        }
    } else {
        info = -1;
        LAPACKE_xerbla( "LAPACKE_cheevr_work", info );
    }
    return info;
}
lapack_int LAPACKE_zgees( int matrix_layout, char jobvs, char sort,
                          LAPACK_Z_SELECT1 select, lapack_int n,
                          lapack_complex_double* a, lapack_int lda,
                          lapack_int* sdim, lapack_complex_double* w,
                          lapack_complex_double* vs, lapack_int ldvs )
{
    lapack_int info = 0;
    lapack_int lwork = -1;
    lapack_logical* bwork = NULL;
    double* rwork = NULL;
    lapack_complex_double* work = NULL;
    lapack_complex_double work_query;
    if( matrix_layout != LAPACK_COL_MAJOR && matrix_layout != LAPACK_ROW_MAJOR ) {
        LAPACKE_xerbla( "LAPACKE_zgees", -1 );
        return -1;
    }
#ifndef LAPACK_DISABLE_NAN_CHECK
    /* Optionally check input matrices for NaNs */
    if( LAPACKE_zge_nancheck( matrix_layout, n, n, a, lda ) ) {
        return -6;
    }
#endif
    /* Allocate memory for working array(s) */
    if( LAPACKE_lsame( sort, 's' ) ) {
        bwork = (lapack_logical*)
            LAPACKE_malloc( sizeof(lapack_logical) * MAX(1,n) );
        if( bwork == NULL ) {
            info = LAPACK_WORK_MEMORY_ERROR;
            goto exit_level_0;
        }
    }
    rwork = (double*)LAPACKE_malloc( sizeof(double) * MAX(1,n) );
    if( rwork == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_1;
    }
    /* Query optimal working array(s) size */
    info = LAPACKE_zgees_work( matrix_layout, jobvs, sort, select, n, a, lda,
                               sdim, w, vs, ldvs, &work_query, lwork, rwork,
                               bwork );
    if( info != 0 ) {
        goto exit_level_2;
    }
    lwork = LAPACK_Z2INT( work_query );
    /* Allocate memory for work arrays */
    work = (lapack_complex_double*)
        LAPACKE_malloc( sizeof(lapack_complex_double) * lwork );
    if( work == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_2;
    }
    /* Call middle-level interface */
    info = LAPACKE_zgees_work( matrix_layout, jobvs, sort, select, n, a, lda,
                               sdim, w, vs, ldvs, work, lwork, rwork, bwork );
    /* Release memory and exit */
    LAPACKE_free( work );
exit_level_2:
    LAPACKE_free( rwork );
exit_level_1:
    if( LAPACKE_lsame( sort, 's' ) ) {
        LAPACKE_free( bwork );
    }
exit_level_0:
    if( info == LAPACK_WORK_MEMORY_ERROR ) {
        LAPACKE_xerbla( "LAPACKE_zgees", info );
    }
    return info;
}
Beispiel #23
0
lapack_int LAPACKE_dlarft_work( int matrix_order, char direct, char storev,
                                lapack_int n, lapack_int k, const double* v,
                                lapack_int ldv, const double* tau, double* t,
                                lapack_int ldt )
{
    lapack_int info = 0;
    lapack_int nrows_v, ncols_v;
    lapack_int ldt_t, ldv_t;
    double *v_t = NULL, *t_t = NULL;
    if( matrix_order == LAPACK_COL_MAJOR ) {
        /* Call LAPACK function and adjust info */
        LAPACK_dlarft( &direct, &storev, &n, &k, v, &ldv, tau, t, &ldt );
        if( info < 0 ) {
            info = info - 1;
        }
    } else if( matrix_order == LAPACK_ROW_MAJOR ) {
        nrows_v = LAPACKE_lsame( storev, 'c' ) ? n :
                             ( LAPACKE_lsame( storev, 'r' ) ? k : 1);
        ncols_v = LAPACKE_lsame( storev, 'c' ) ? k :
                             ( LAPACKE_lsame( storev, 'r' ) ? n : 1);
        ldt_t = MAX(1,k);
        ldv_t = MAX(1,nrows_v);
        /* Check leading dimension(s) */
        if( ldt < k ) {
            info = -10;
            LAPACKE_xerbla( "LAPACKE_dlarft_work", info );
            return info;
        }
        if( ldv < ncols_v ) {
            info = -7;
            LAPACKE_xerbla( "LAPACKE_dlarft_work", info );
            return info;
        }
        /* Allocate memory for temporary array(s) */
        v_t = (double*)
            LAPACKE_malloc( sizeof(double) * ldv_t * MAX(1,ncols_v) );
        if( v_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_0;
        }
        t_t = (double*)LAPACKE_malloc( sizeof(double) * ldt_t * MAX(1,k) );
        if( t_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_1;
        }
        /* Transpose input matrices */
        LAPACKE_dge_trans( matrix_order, nrows_v, ncols_v, v, ldv, v_t, ldv_t );
        /* Call LAPACK function and adjust info */
        LAPACK_dlarft( &direct, &storev, &n, &k, v_t, &ldv_t, tau, t_t,
                       &ldt_t );
        info = 0;  /* LAPACK call is ok! */
        /* Transpose output matrices */
        LAPACKE_dge_trans( LAPACK_COL_MAJOR, k, k, t_t, ldt_t, t, ldt );
        /* Release memory and exit */
        LAPACKE_free( t_t );
exit_level_1:
        LAPACKE_free( v_t );
exit_level_0:
        if( info == LAPACK_TRANSPOSE_MEMORY_ERROR ) {
            LAPACKE_xerbla( "LAPACKE_dlarft_work", info );
        }
    } else {
        info = -1;
        LAPACKE_xerbla( "LAPACKE_dlarft_work", info );
    }
    return info;
}
Beispiel #24
0
lapack_int LAPACKE_dspgv_work( int matrix_layout, lapack_int itype, char jobz,
                               char uplo, lapack_int n, double* ap, double* bp,
                               double* w, double* z, lapack_int ldz,
                               double* work )
{
    lapack_int info = 0;
    if( matrix_layout == LAPACK_COL_MAJOR ) {
        /* Call LAPACK function and adjust info */
        LAPACK_dspgv( &itype, &jobz, &uplo, &n, ap, bp, w, z, &ldz, work,
                      &info );
        if( info < 0 ) {
            info = info - 1;
        }
    } else if( matrix_layout == LAPACK_ROW_MAJOR ) {
        lapack_int ldz_t = MAX(1,n);
        double* z_t = NULL;
        double* ap_t = NULL;
        double* bp_t = NULL;
        /* Check leading dimension(s) */
        if( ldz < n ) {
            info = -10;
            LAPACKE_xerbla( "LAPACKE_dspgv_work", info );
            return info;
        }
        /* Allocate memory for temporary array(s) */
        if( LAPACKE_lsame( jobz, 'v' ) ) {
            z_t = (double*)LAPACKE_malloc( sizeof(double) * ldz_t * MAX(1,n) );
            if( z_t == NULL ) {
                info = LAPACK_TRANSPOSE_MEMORY_ERROR;
                goto exit_level_0;
            }
        }
        ap_t = (double*)
            LAPACKE_malloc( sizeof(double) * ( MAX(1,n) * MAX(2,n+1) ) / 2 );
        if( ap_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_1;
        }
        bp_t = (double*)
            LAPACKE_malloc( sizeof(double) * ( MAX(1,n) * MAX(2,n+1) ) / 2 );
        if( bp_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_2;
        }
        /* Transpose input matrices */
        LAPACKE_dsp_trans( matrix_layout, uplo, n, ap, ap_t );
        LAPACKE_dsp_trans( matrix_layout, uplo, n, bp, bp_t );
        /* Call LAPACK function and adjust info */
        LAPACK_dspgv( &itype, &jobz, &uplo, &n, ap_t, bp_t, w, z_t, &ldz_t,
                      work, &info );
        if( info < 0 ) {
            info = info - 1;
        }
        /* Transpose output matrices */
        if( LAPACKE_lsame( jobz, 'v' ) ) {
            LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, n, z_t, ldz_t, z, ldz );
        }
        LAPACKE_dsp_trans( LAPACK_COL_MAJOR, uplo, n, ap_t, ap );
        LAPACKE_dsp_trans( LAPACK_COL_MAJOR, uplo, n, bp_t, bp );
        /* Release memory and exit */
        LAPACKE_free( bp_t );
exit_level_2:
        LAPACKE_free( ap_t );
exit_level_1:
        if( LAPACKE_lsame( jobz, 'v' ) ) {
            LAPACKE_free( z_t );
        }
exit_level_0:
        if( info == LAPACK_TRANSPOSE_MEMORY_ERROR ) {
            LAPACKE_xerbla( "LAPACKE_dspgv_work", info );
        }
    } else {
        info = -1;
        LAPACKE_xerbla( "LAPACKE_dspgv_work", info );
    }
    return info;
}
Beispiel #25
0
lapack_int LAPACKE_csysvx( int matrix_layout, char fact, char uplo, lapack_int n,
                           lapack_int nrhs, const lapack_complex_float* a,
                           lapack_int lda, lapack_complex_float* af,
                           lapack_int ldaf, lapack_int* ipiv,
                           const lapack_complex_float* b, lapack_int ldb,
                           lapack_complex_float* x, lapack_int ldx,
                           float* rcond, float* ferr, float* berr )
{
    lapack_int info = 0;
    lapack_int lwork = -1;
    float* rwork = NULL;
    lapack_complex_float* work = NULL;
    lapack_complex_float work_query;
    if( matrix_layout != LAPACK_COL_MAJOR && matrix_layout != LAPACK_ROW_MAJOR ) {
        LAPACKE_xerbla( "LAPACKE_csysvx", -1 );
        return -1;
    }
#ifndef LAPACK_DISABLE_NAN_CHECK
    /* Optionally check input matrices for NaNs */
    if( LAPACKE_csy_nancheck( matrix_layout, uplo, n, a, lda ) ) {
        return -6;
    }
    if( LAPACKE_lsame( fact, 'f' ) ) {
        if( LAPACKE_csy_nancheck( matrix_layout, uplo, n, af, ldaf ) ) {
            return -8;
        }
    }
    if( LAPACKE_cge_nancheck( matrix_layout, n, nrhs, b, ldb ) ) {
        return -11;
    }
#endif
    /* Allocate memory for working array(s) */
    rwork = (float*)LAPACKE_malloc( sizeof(float) * MAX(1,n) );
    if( rwork == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_0;
    }
    /* Query optimal working array(s) size */
    info = LAPACKE_csysvx_work( matrix_layout, fact, uplo, n, nrhs, a, lda, af,
                                ldaf, ipiv, b, ldb, x, ldx, rcond, ferr, berr,
                                &work_query, lwork, rwork );
    if( info != 0 ) {
        goto exit_level_1;
    }
    lwork = LAPACK_C2INT( work_query );
    /* Allocate memory for work arrays */
    work = (lapack_complex_float*)
        LAPACKE_malloc( sizeof(lapack_complex_float) * lwork );
    if( work == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_1;
    }
    /* Call middle-level interface */
    info = LAPACKE_csysvx_work( matrix_layout, fact, uplo, n, nrhs, a, lda, af,
                                ldaf, ipiv, b, ldb, x, ldx, rcond, ferr, berr,
                                work, lwork, rwork );
    /* Release memory and exit */
    LAPACKE_free( work );
exit_level_1:
    LAPACKE_free( rwork );
exit_level_0:
    if( info == LAPACK_WORK_MEMORY_ERROR ) {
        LAPACKE_xerbla( "LAPACKE_csysvx", info );
    }
    return info;
}
Beispiel #26
0
lapack_int LAPACKE_zpbsvx( int matrix_layout, char fact, char uplo, lapack_int n,
                           lapack_int kd, lapack_int nrhs,
                           lapack_complex_double* ab, lapack_int ldab,
                           lapack_complex_double* afb, lapack_int ldafb,
                           char* equed, double* s, lapack_complex_double* b,
                           lapack_int ldb, lapack_complex_double* x,
                           lapack_int ldx, double* rcond, double* ferr,
                           double* berr )
{
    lapack_int info = 0;
    double* rwork = NULL;
    lapack_complex_double* work = NULL;
    if( matrix_layout != LAPACK_COL_MAJOR && matrix_layout != LAPACK_ROW_MAJOR ) {
        LAPACKE_xerbla( "LAPACKE_zpbsvx", -1 );
        return -1;
    }
#ifndef LAPACK_DISABLE_NAN_CHECK
    /* Optionally check input matrices for NaNs */
    if( LAPACKE_zpb_nancheck( matrix_layout, uplo, n, kd, ab, ldab ) ) {
        return -7;
    }
    if( LAPACKE_lsame( fact, 'f' ) ) {
        if( LAPACKE_zpb_nancheck( matrix_layout, uplo, n, kd, afb, ldafb ) ) {
            return -9;
        }
    }
    if( LAPACKE_zge_nancheck( matrix_layout, n, nrhs, b, ldb ) ) {
        return -13;
    }
    if( LAPACKE_lsame( fact, 'f' ) && LAPACKE_lsame( *equed, 'y' ) ) {
        if( LAPACKE_d_nancheck( n, s, 1 ) ) {
            return -12;
        }
    }
#endif
    /* Allocate memory for working array(s) */
    rwork = (double*)LAPACKE_malloc( sizeof(double) * MAX(1,n) );
    if( rwork == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_0;
    }
    work = (lapack_complex_double*)
        LAPACKE_malloc( sizeof(lapack_complex_double) * MAX(1,2*n) );
    if( work == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_1;
    }
    /* Call middle-level interface */
    info = LAPACKE_zpbsvx_work( matrix_layout, fact, uplo, n, kd, nrhs, ab, ldab,
                                afb, ldafb, equed, s, b, ldb, x, ldx, rcond,
                                ferr, berr, work, rwork );
    /* Release memory and exit */
    LAPACKE_free( work );
exit_level_1:
    LAPACKE_free( rwork );
exit_level_0:
    if( info == LAPACK_WORK_MEMORY_ERROR ) {
        LAPACKE_xerbla( "LAPACKE_zpbsvx", info );
    }
    return info;
}
Beispiel #27
0
lapack_int LAPACKE_zupmtr_work( int matrix_layout, char side, char uplo,
                                char trans, lapack_int m, lapack_int n,
                                const lapack_complex_double* ap,
                                const lapack_complex_double* tau,
                                lapack_complex_double* c, lapack_int ldc,
                                lapack_complex_double* work )
{
    lapack_int info = 0;
    if( matrix_layout == LAPACK_COL_MAJOR ) {
        /* Call LAPACK function and adjust info */
        LAPACK_zupmtr( &side, &uplo, &trans, &m, &n, ap, tau, c, &ldc, work,
                       &info );
        if( info < 0 ) {
            info = info - 1;
        }
    } else if( matrix_layout == LAPACK_ROW_MAJOR ) {
        lapack_int r = LAPACKE_lsame( side, 'l' ) ? m : n;
        lapack_int ldc_t = MAX(1,m);
        lapack_complex_double* c_t = NULL;
        lapack_complex_double* ap_t = NULL;
        /* Check leading dimension(s) */
        if( ldc < n ) {
            info = -10;
            LAPACKE_xerbla( "LAPACKE_zupmtr_work", info );
            return info;
        }
        /* Allocate memory for temporary array(s) */
        c_t = (lapack_complex_double*)
            LAPACKE_malloc( sizeof(lapack_complex_double) * ldc_t * MAX(1,n) );
        if( c_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_0;
        }
        ap_t = (lapack_complex_double*)
            LAPACKE_malloc( sizeof(lapack_complex_double) *
                            ( MAX(1,r) * MAX(2,r+1) ) / 2 );
        if( ap_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_1;
        }
        /* Transpose input matrices */
        LAPACKE_zge_trans( matrix_layout, m, n, c, ldc, c_t, ldc_t );
        LAPACKE_zpp_trans( matrix_layout, uplo, r, ap, ap_t );
        /* Call LAPACK function and adjust info */
        LAPACK_zupmtr( &side, &uplo, &trans, &m, &n, ap_t, tau, c_t, &ldc_t,
                       work, &info );
        if( info < 0 ) {
            info = info - 1;
        }
        /* Transpose output matrices */
        LAPACKE_zge_trans( LAPACK_COL_MAJOR, m, n, c_t, ldc_t, c, ldc );
        /* Release memory and exit */
        LAPACKE_free( ap_t );
exit_level_1:
        LAPACKE_free( c_t );
exit_level_0:
        if( info == LAPACK_TRANSPOSE_MEMORY_ERROR ) {
            LAPACKE_xerbla( "LAPACKE_zupmtr_work", info );
        }
    } else {
        info = -1;
        LAPACKE_xerbla( "LAPACKE_zupmtr_work", info );
    }
    return info;
}
Beispiel #28
0
lapack_int LAPACKE_dorcsd2by1_work( int matrix_layout, char jobu1, char jobu2,
                                char jobv1t, lapack_int m, lapack_int p,
                                lapack_int q, double* x11, lapack_int ldx11,
                                double* x21, lapack_int ldx21,
                                double* theta, double* u1, lapack_int ldu1,
                                double* u2, lapack_int ldu2, double* v1t,
                                lapack_int ldv1t, double* work, lapack_int lwork,
                                lapack_int* iwork )
{
    lapack_int info = 0;
    if( matrix_layout == LAPACK_COL_MAJOR ) {
        /* Call LAPACK function and adjust info */
        LAPACK_dorcsd2by1( &jobu1, &jobu2, &jobv1t, &m, &p,
                       &q, x11, &ldx11, x21, &ldx21, 
                       theta, u1, &ldu1, u2, &ldu2, v1t, &ldv1t, 
                       work, &lwork, iwork, &info );
        if( info < 0 ) {
            info = info - 1;
        }
    } else if( matrix_layout == LAPACK_ROW_MAJOR ) {
        lapack_int nrows_x11 = p;
        lapack_int nrows_x21 = m-p;
        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 ldu1_t = MAX(1,nrows_u1);
        lapack_int ldu2_t = MAX(1,nrows_u2);
        lapack_int ldv1t_t = MAX(1,nrows_v1t);
        lapack_int ldx11_t = MAX(1,nrows_x11);
        lapack_int ldx21_t = MAX(1,nrows_x21);
        double* x11_t = NULL;
        double* x21_t = NULL;
        double* u1_t = NULL;
        double* u2_t = NULL;
        double* v1t_t = NULL;
        /* Check leading dimension(s) */
        if( ldu1 < p ) {
            info = -21;
            LAPACKE_xerbla( "LAPACKE_dorcsd2by1_work", info );
            return info;
        }
        if( ldu2 < m-p ) {
            info = -23;
            LAPACKE_xerbla( "LAPACKE_dorcsd2by1_work", info );
            return info;
        }
        if( ldv1t < q ) {
            info = -25;
            LAPACKE_xerbla( "LAPACKE_dorcsd2by1_work", info );
            return info;
        }
        if( ldx11 < q ) {
            info = -12;
            LAPACKE_xerbla( "LAPACKE_dorcsd2by1_work", info );
            return info;
        }
        if( ldx21 < q ) {
            info = -16;
            LAPACKE_xerbla( "LAPACKE_dorcsd2by1_work", info );
            return info;
        }
        /* Query optimal working array(s) size if requested */
        if( lwork == -1 ) {
            LAPACK_dorcsd2by1( &jobu1, &jobu2, &jobv1t, &m, &p,
                       &q, x11, &ldx11, x21, &ldx21, 
                       theta, u1, &ldu1, u2, &ldu2, v1t, &ldv1t, 
                       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;
        }
        x21_t = (double*)LAPACKE_malloc( sizeof(double) * ldx21_t * MAX(1,q) );
        if( x21_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_1;
        }
        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_2;
            }
        }
        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_3;
            }
        }
        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_4;
            }
        }
        /* Transpose input matrices */
        LAPACKE_dge_trans( matrix_layout, nrows_x11, q, x11, ldx11, x11_t,
                           ldx11_t );
        LAPACKE_dge_trans( matrix_layout, nrows_x21, q, x21, ldx21, x21_t,
                           ldx21_t );
        /* Call LAPACK function and adjust info */
        LAPACK_dorcsd2by1( &jobu1, &jobu2, &jobv1t, &m, &p,
                       &q, x11, &ldx11, x21, &ldx21, 
                       theta, u1, &ldu1, u2, &ldu2, v1t, &ldv1t, 
                       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_x21, q, x21_t, ldx21_t, x21,
                           ldx21 );
        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 );
        }
        /* Release memory and exit */
        if( LAPACKE_lsame( jobv1t, 'y' ) ) {
            LAPACKE_free( v1t_t );
        }
exit_level_4:
        if( LAPACKE_lsame( jobu2, 'y' ) ) {
            LAPACKE_free( u2_t );
        }
exit_level_3:
        if( LAPACKE_lsame( jobu1, 'y' ) ) {
            LAPACKE_free( u1_t );
        }
exit_level_2:
        LAPACKE_free( x21_t );
exit_level_1:
        LAPACKE_free( x11_t );
exit_level_0:
        if( info == LAPACK_TRANSPOSE_MEMORY_ERROR ) {
            LAPACKE_xerbla( "LAPACKE_dorcsd2by1_work", info );
        }
    } else {
        info = -1;
        LAPACKE_xerbla( "LAPACKE_dorcsd2by1_work", info );
    }
    return info;
}
Beispiel #29
0
lapack_int LAPACKE_dgesvd_work( int matrix_layout, char jobu, char jobvt,
                                lapack_int m, lapack_int n, double* a,
                                lapack_int lda, double* s, double* u,
                                lapack_int ldu, double* vt, lapack_int ldvt,
                                double* work, lapack_int lwork )
{
    lapack_int info = 0;
    if( matrix_layout == LAPACK_COL_MAJOR ) {
        /* Call LAPACK function and adjust info */
        LAPACK_dgesvd( &jobu, &jobvt, &m, &n, a, &lda, s, u, &ldu, vt, &ldvt,
                       work, &lwork, &info );
        if( info < 0 ) {
            info = info - 1;
        }
    } else if( matrix_layout == LAPACK_ROW_MAJOR ) {
        lapack_int nrows_u = ( LAPACKE_lsame( jobu, 'a' ) ||
                             LAPACKE_lsame( jobu, 's' ) ) ? m : 1;
        lapack_int ncols_u = LAPACKE_lsame( jobu, 'a' ) ? m :
                             ( LAPACKE_lsame( jobu, 's' ) ? MIN(m,n) : 1);
        lapack_int nrows_vt = LAPACKE_lsame( jobvt, 'a' ) ? n :
                              ( LAPACKE_lsame( jobvt, 's' ) ? MIN(m,n) : 1);
        lapack_int lda_t = MAX(1,m);
        lapack_int ldu_t = MAX(1,nrows_u);
        lapack_int ldvt_t = MAX(1,nrows_vt);
        double* a_t = NULL;
        double* u_t = NULL;
        double* vt_t = NULL;
        /* Check leading dimension(s) */
        if( lda < n ) {
            info = -7;
            LAPACKE_xerbla( "LAPACKE_dgesvd_work", info );
            return info;
        }
        if( ldu < ncols_u ) {
            info = -10;
            LAPACKE_xerbla( "LAPACKE_dgesvd_work", info );
            return info;
        }
        if( ldvt < n ) {
            info = -12;
            LAPACKE_xerbla( "LAPACKE_dgesvd_work", info );
            return info;
        }
        /* Query optimal working array(s) size if requested */
        if( lwork == -1 ) {
            LAPACK_dgesvd( &jobu, &jobvt, &m, &n, a, &lda_t, s, u, &ldu_t, vt,
                           &ldvt_t, work, &lwork, &info );
            return (info < 0) ? (info - 1) : info;
        }
        /* Allocate memory for temporary array(s) */
        a_t = (double*)LAPACKE_malloc( sizeof(double) * lda_t * MAX(1,n) );
        if( a_t == NULL ) {
            info = LAPACK_TRANSPOSE_MEMORY_ERROR;
            goto exit_level_0;
        }
        if( LAPACKE_lsame( jobu, 'a' ) || LAPACKE_lsame( jobu, 's' ) ) {
            u_t = (double*)
                LAPACKE_malloc( sizeof(double) * ldu_t * MAX(1,ncols_u) );
            if( u_t == NULL ) {
                info = LAPACK_TRANSPOSE_MEMORY_ERROR;
                goto exit_level_1;
            }
        }
        if( LAPACKE_lsame( jobvt, 'a' ) || LAPACKE_lsame( jobvt, 's' ) ) {
            vt_t = (double*)
                LAPACKE_malloc( sizeof(double) * ldvt_t * MAX(1,n) );
            if( vt_t == NULL ) {
                info = LAPACK_TRANSPOSE_MEMORY_ERROR;
                goto exit_level_2;
            }
        }
        /* Transpose input matrices */
        LAPACKE_dge_trans( matrix_layout, m, n, a, lda, a_t, lda_t );
        /* Call LAPACK function and adjust info */
        LAPACK_dgesvd( &jobu, &jobvt, &m, &n, a_t, &lda_t, s, u_t, &ldu_t, vt_t,
                       &ldvt_t, work, &lwork, &info );
        if( info < 0 ) {
            info = info - 1;
        }
        /* Transpose output matrices */
        LAPACKE_dge_trans( LAPACK_COL_MAJOR, m, n, a_t, lda_t, a, lda );
        if( LAPACKE_lsame( jobu, 'a' ) || LAPACKE_lsame( jobu, 's' ) ) {
            LAPACKE_dge_trans( LAPACK_COL_MAJOR, nrows_u, ncols_u, u_t, ldu_t,
                               u, ldu );
        }
        if( LAPACKE_lsame( jobvt, 'a' ) || LAPACKE_lsame( jobvt, 's' ) ) {
            LAPACKE_dge_trans( LAPACK_COL_MAJOR, nrows_vt, n, vt_t, ldvt_t, vt,
                               ldvt );
        }
        /* Release memory and exit */
        if( LAPACKE_lsame( jobvt, 'a' ) || LAPACKE_lsame( jobvt, 's' ) ) {
            LAPACKE_free( vt_t );
        }
exit_level_2:
        if( LAPACKE_lsame( jobu, 'a' ) || LAPACKE_lsame( jobu, 's' ) ) {
            LAPACKE_free( u_t );
        }
exit_level_1:
        LAPACKE_free( a_t );
exit_level_0:
        if( info == LAPACK_TRANSPOSE_MEMORY_ERROR ) {
            LAPACKE_xerbla( "LAPACKE_dgesvd_work", info );
        }
    } else {
        info = -1;
        LAPACKE_xerbla( "LAPACKE_dgesvd_work", info );
    }
    return info;
}
lapack_int LAPACKE_cppsvx( int matrix_layout, char fact, char uplo, lapack_int n,
                           lapack_int nrhs, lapack_complex_float* ap,
                           lapack_complex_float* afp, char* equed, float* s,
                           lapack_complex_float* b, lapack_int ldb,
                           lapack_complex_float* x, lapack_int ldx,
                           float* rcond, float* ferr, float* berr )
{
    lapack_int info = 0;
    float* rwork = NULL;
    lapack_complex_float* work = NULL;
    if( matrix_layout != LAPACK_COL_MAJOR && matrix_layout != LAPACK_ROW_MAJOR ) {
        LAPACKE_xerbla( "LAPACKE_cppsvx", -1 );
        return -1;
    }
#ifndef LAPACK_DISABLE_NAN_CHECK
    if( LAPACKE_get_nancheck() ) {
        /* Optionally check input matrices for NaNs */
        if( LAPACKE_lsame( fact, 'f' ) ) {
            if( LAPACKE_cpp_nancheck( n, afp ) ) {
                return -7;
            }
        }
        if( LAPACKE_cpp_nancheck( n, ap ) ) {
            return -6;
        }
        if( LAPACKE_cge_nancheck( matrix_layout, n, nrhs, b, ldb ) ) {
            return -10;
        }
        if( LAPACKE_lsame( fact, 'f' ) && LAPACKE_lsame( *equed, 'y' ) ) {
            if( LAPACKE_s_nancheck( n, s, 1 ) ) {
                return -9;
            }
        }
    }
#endif
    /* Allocate memory for working array(s) */
    rwork = (float*)LAPACKE_malloc( sizeof(float) * MAX(1,n) );
    if( rwork == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_0;
    }
    work = (lapack_complex_float*)
        LAPACKE_malloc( sizeof(lapack_complex_float) * MAX(1,2*n) );
    if( work == NULL ) {
        info = LAPACK_WORK_MEMORY_ERROR;
        goto exit_level_1;
    }
    /* Call middle-level interface */
    info = LAPACKE_cppsvx_work( matrix_layout, fact, uplo, n, nrhs, ap, afp,
                                equed, s, b, ldb, x, ldx, rcond, ferr, berr,
                                work, rwork );
    /* Release memory and exit */
    LAPACKE_free( work );
exit_level_1:
    LAPACKE_free( rwork );
exit_level_0:
    if( info == LAPACK_WORK_MEMORY_ERROR ) {
        LAPACKE_xerbla( "LAPACKE_cppsvx", info );
    }
    return info;
}