#include "blaswrap.h" /* zlarhs.f -- translated by f2c (version 20061008). You must link the resulting object file with libf2c: on Microsoft Windows system, link with libf2c.lib; on Linux or Unix systems, link with .../path/to/libf2c.a -lm or, if you install libf2c.a in a standard place, with -lf2c -lm -- in that order, at the end of the command line, as in cc *.o -lf2c -lm Source for libf2c is in /netlib/f2c/libf2c.zip, e.g., http://www.netlib.org/f2c/libf2c.zip */ #include "f2c.h" /* Table of constant values */ static doublecomplex c_b1 = {1.,0.}; static doublecomplex c_b2 = {0.,0.}; static integer c__2 = 2; static integer c__1 = 1; /* Subroutine */ int zlarhs_(char *path, char *xtype, char *uplo, char *trans, integer *m, integer *n, integer *kl, integer *ku, integer *nrhs, doublecomplex *a, integer *lda, doublecomplex *x, integer *ldx, doublecomplex *b, integer *ldb, integer *iseed, integer *info ) { /* System generated locals */ integer a_dim1, a_offset, b_dim1, b_offset, x_dim1, x_offset, i__1; /* Builtin functions Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen); /* Local variables */ static integer j; static char c1[1], c2[2]; static integer mb, nx; static logical gen, tri, qrs, sym, band; static char diag[1]; static logical tran; extern logical lsame_(char *, char *); extern /* Subroutine */ int zgemm_(char *, char *, integer *, integer *, integer *, doublecomplex *, doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *), zhemm_(char *, char *, integer *, integer *, doublecomplex *, doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *), zgbmv_(char *, integer *, integer *, integer *, integer *, doublecomplex *, doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *), zhbmv_(char *, integer *, integer *, doublecomplex *, doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *), zsbmv_(char *, integer *, integer *, doublecomplex *, doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *), ztbmv_(char *, char *, char *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, integer *), zhpmv_( char *, integer *, doublecomplex *, doublecomplex *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *), ztrmm_(char *, char *, char *, char *, integer *, integer *, doublecomplex *, doublecomplex *, integer *, doublecomplex *, integer *), zspmv_(char *, integer *, doublecomplex *, doublecomplex *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *), zsymm_(char *, char *, integer *, integer *, doublecomplex *, doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *), ztpmv_(char *, char *, char *, integer *, doublecomplex * , doublecomplex *, integer *), xerbla_( char *, integer *); extern logical lsamen_(integer *, char *, char *); static logical notran; extern /* Subroutine */ int zlacpy_(char *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, integer *), zlarnv_(integer *, integer *, integer *, doublecomplex *); /* -- LAPACK test routine (version 3.1) -- Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. November 2006 Purpose ======= ZLARHS chooses a set of NRHS random solution vectors and sets up the right hand sides for the linear system op( A ) * X = B, where op( A ) may be A, A**T (transpose of A), or A**H (conjugate transpose of A). Arguments ========= PATH (input) CHARACTER*3 The type of the complex matrix A. PATH may be given in any combination of upper and lower case. Valid paths include xGE: General m x n matrix xGB: General banded matrix xPO: Hermitian positive definite, 2-D storage xPP: Hermitian positive definite packed xPB: Hermitian positive definite banded xHE: Hermitian indefinite, 2-D storage xHP: Hermitian indefinite packed xHB: Hermitian indefinite banded xSY: Symmetric indefinite, 2-D storage xSP: Symmetric indefinite packed xSB: Symmetric indefinite banded xTR: Triangular xTP: Triangular packed xTB: Triangular banded xQR: General m x n matrix xLQ: General m x n matrix xQL: General m x n matrix xRQ: General m x n matrix where the leading character indicates the precision. XTYPE (input) CHARACTER*1 Specifies how the exact solution X will be determined: = 'N': New solution; generate a random X. = 'C': Computed; use value of X on entry. UPLO (input) CHARACTER*1 Used only if A is symmetric or triangular; specifies whether the upper or lower triangular part of the matrix A is stored. = 'U': Upper triangular = 'L': Lower triangular TRANS (input) CHARACTER*1 Used only if A is nonsymmetric; specifies the operation applied to the matrix A. = 'N': B := A * X = 'T': B := A**T * X = 'C': B := A**H * X M (input) INTEGER The number of rows of the matrix A. M >= 0. N (input) INTEGER The number of columns of the matrix A. N >= 0. KL (input) INTEGER Used only if A is a band matrix; specifies the number of subdiagonals of A if A is a general band matrix or if A is symmetric or triangular and UPLO = 'L'; specifies the number of superdiagonals of A if A is symmetric or triangular and UPLO = 'U'. 0 <= KL <= M-1. KU (input) INTEGER Used only if A is a general band matrix or if A is triangular. If PATH = xGB, specifies the number of superdiagonals of A, and 0 <= KU <= N-1. If PATH = xTR, xTP, or xTB, specifies whether or not the matrix has unit diagonal: = 1: matrix has non-unit diagonal (default) = 2: matrix has unit diagonal NRHS (input) INTEGER The number of right hand side vectors in the system A*X = B. A (input) COMPLEX*16 array, dimension (LDA,N) The test matrix whose type is given by PATH. LDA (input) INTEGER The leading dimension of the array A. If PATH = xGB, LDA >= KL+KU+1. If PATH = xPB, xSB, xHB, or xTB, LDA >= KL+1. Otherwise, LDA >= max(1,M). X (input or output) COMPLEX*16 array, dimension (LDX,NRHS) On entry, if XTYPE = 'C' (for 'Computed'), then X contains the exact solution to the system of linear equations. On exit, if XTYPE = 'N' (for 'New'), then X is initialized with random values. LDX (input) INTEGER The leading dimension of the array X. If TRANS = 'N', LDX >= max(1,N); if TRANS = 'T', LDX >= max(1,M). B (output) COMPLEX*16 array, dimension (LDB,NRHS) The right hand side vector(s) for the system of equations, computed from B = op(A) * X, where op(A) is determined by TRANS. LDB (input) INTEGER The leading dimension of the array B. If TRANS = 'N', LDB >= max(1,M); if TRANS = 'T', LDB >= max(1,N). ISEED (input/output) INTEGER array, dimension (4) The seed vector for the random number generator (used in ZLATMS). Modified on exit. INFO (output) INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value ===================================================================== Test the input parameters. Parameter adjustments */ a_dim1 = *lda; a_offset = 1 + a_dim1; a -= a_offset; x_dim1 = *ldx; x_offset = 1 + x_dim1; x -= x_offset; b_dim1 = *ldb; b_offset = 1 + b_dim1; b -= b_offset; --iseed; /* Function Body */ *info = 0; *(unsigned char *)c1 = *(unsigned char *)path; s_copy(c2, path + 1, (ftnlen)2, (ftnlen)2); tran = lsame_(trans, "T") || lsame_(trans, "C"); notran = ! tran; gen = lsame_(path + 1, "G"); qrs = lsame_(path + 1, "Q") || lsame_(path + 2, "Q"); sym = lsame_(path + 1, "P") || lsame_(path + 1, "S") || lsame_(path + 1, "H"); tri = lsame_(path + 1, "T"); band = lsame_(path + 2, "B"); if (! lsame_(c1, "Zomplex precision")) { *info = -1; } else if (! (lsame_(xtype, "N") || lsame_(xtype, "C"))) { *info = -2; } else if ((sym || tri) && ! (lsame_(uplo, "U") || lsame_(uplo, "L"))) { *info = -3; } else if ((gen || qrs) && ! (tran || lsame_(trans, "N"))) { *info = -4; } else if (*m < 0) { *info = -5; } else if (*n < 0) { *info = -6; } else if (band && *kl < 0) { *info = -7; } else if (band && *ku < 0) { *info = -8; } else if (*nrhs < 0) { *info = -9; } else if (! band && *lda < max(1,*m) || band && (sym || tri) && *lda < * kl + 1 || band && gen && *lda < *kl + *ku + 1) { *info = -11; } else if (notran && *ldx < max(1,*n) || tran && *ldx < max(1,*m)) { *info = -13; } else if (notran && *ldb < max(1,*m) || tran && *ldb < max(1,*n)) { *info = -15; } if (*info != 0) { i__1 = -(*info); xerbla_("ZLARHS", &i__1); return 0; } /* Initialize X to NRHS random vectors unless XTYPE = 'C'. */ if (tran) { nx = *m; mb = *n; } else { nx = *n; mb = *m; } if (! lsame_(xtype, "C")) { i__1 = *nrhs; for (j = 1; j <= i__1; ++j) { zlarnv_(&c__2, &iseed[1], n, &x[j * x_dim1 + 1]); /* L10: */ } } /* Multiply X by op( A ) using an appropriate matrix multiply routine. */ if (lsamen_(&c__2, c2, "GE") || lsamen_(&c__2, c2, "QR") || lsamen_(&c__2, c2, "LQ") || lsamen_(&c__2, c2, "QL") || lsamen_(&c__2, c2, "RQ")) { /* General matrix */ zgemm_(trans, "N", &mb, nrhs, &nx, &c_b1, &a[a_offset], lda, &x[ x_offset], ldx, &c_b2, &b[b_offset], ldb); } else if (lsamen_(&c__2, c2, "PO") || lsamen_(& c__2, c2, "HE")) { /* Hermitian matrix, 2-D storage */ zhemm_("Left", uplo, n, nrhs, &c_b1, &a[a_offset], lda, &x[x_offset], ldx, &c_b2, &b[b_offset], ldb); } else if (lsamen_(&c__2, c2, "SY")) { /* Symmetric matrix, 2-D storage */ zsymm_("Left", uplo, n, nrhs, &c_b1, &a[a_offset], lda, &x[x_offset], ldx, &c_b2, &b[b_offset], ldb); } else if (lsamen_(&c__2, c2, "GB")) { /* General matrix, band storage */ i__1 = *nrhs; for (j = 1; j <= i__1; ++j) { zgbmv_(trans, m, n, kl, ku, &c_b1, &a[a_offset], lda, &x[j * x_dim1 + 1], &c__1, &c_b2, &b[j * b_dim1 + 1], &c__1); /* L20: */ } } else if (lsamen_(&c__2, c2, "PB") || lsamen_(& c__2, c2, "HB")) { /* Hermitian matrix, band storage */ i__1 = *nrhs; for (j = 1; j <= i__1; ++j) { zhbmv_(uplo, n, kl, &c_b1, &a[a_offset], lda, &x[j * x_dim1 + 1], &c__1, &c_b2, &b[j * b_dim1 + 1], &c__1); /* L30: */ } } else if (lsamen_(&c__2, c2, "SB")) { /* Symmetric matrix, band storage */ i__1 = *nrhs; for (j = 1; j <= i__1; ++j) { zsbmv_(uplo, n, kl, &c_b1, &a[a_offset], lda, &x[j * x_dim1 + 1], &c__1, &c_b2, &b[j * b_dim1 + 1], &c__1); /* L40: */ } } else if (lsamen_(&c__2, c2, "PP") || lsamen_(& c__2, c2, "HP")) { /* Hermitian matrix, packed storage */ i__1 = *nrhs; for (j = 1; j <= i__1; ++j) { zhpmv_(uplo, n, &c_b1, &a[a_offset], &x[j * x_dim1 + 1], &c__1, & c_b2, &b[j * b_dim1 + 1], &c__1); /* L50: */ } } else if (lsamen_(&c__2, c2, "SP")) { /* Symmetric matrix, packed storage */ i__1 = *nrhs; for (j = 1; j <= i__1; ++j) { zspmv_(uplo, n, &c_b1, &a[a_offset], &x[j * x_dim1 + 1], &c__1, & c_b2, &b[j * b_dim1 + 1], &c__1); /* L60: */ } } else if (lsamen_(&c__2, c2, "TR")) { /* Triangular matrix. Note that for triangular matrices, KU = 1 => non-unit triangular KU = 2 => unit triangular */ zlacpy_("Full", n, nrhs, &x[x_offset], ldx, &b[b_offset], ldb); if (*ku == 2) { *(unsigned char *)diag = 'U'; } else { *(unsigned char *)diag = 'N'; } ztrmm_("Left", uplo, trans, diag, n, nrhs, &c_b1, &a[a_offset], lda, & b[b_offset], ldb); } else if (lsamen_(&c__2, c2, "TP")) { /* Triangular matrix, packed storage */ zlacpy_("Full", n, nrhs, &x[x_offset], ldx, &b[b_offset], ldb); if (*ku == 2) { *(unsigned char *)diag = 'U'; } else { *(unsigned char *)diag = 'N'; } i__1 = *nrhs; for (j = 1; j <= i__1; ++j) { ztpmv_(uplo, trans, diag, n, &a[a_offset], &b[j * b_dim1 + 1], & c__1); /* L70: */ } } else if (lsamen_(&c__2, c2, "TB")) { /* Triangular matrix, banded storage */ zlacpy_("Full", n, nrhs, &x[x_offset], ldx, &b[b_offset], ldb); if (*ku == 2) { *(unsigned char *)diag = 'U'; } else { *(unsigned char *)diag = 'N'; } i__1 = *nrhs; for (j = 1; j <= i__1; ++j) { ztbmv_(uplo, trans, diag, n, kl, &a[a_offset], lda, &b[j * b_dim1 + 1], &c__1); /* L80: */ } } else { /* If none of the above, set INFO = -1 and return */ *info = -1; i__1 = -(*info); xerbla_("ZLARHS", &i__1); } return 0; /* End of ZLARHS */ } /* zlarhs_ */