#include "f2c.h" #include "blaswrap.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 */ integer j; char c1[1], c2[2]; integer mb, nx; logical gen, tri, qrs, sym, band; char diag[1]; 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 *); 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 */ /* .. Scalar Arguments .. */ /* .. */ /* .. Array Arguments .. */ /* .. */ /* 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 */ /* ===================================================================== */ /* .. Parameters .. */ /* .. */ /* .. Local Scalars .. */ /* .. */ /* .. External Functions .. */ /* .. */ /* .. External Subroutines .. */ /* .. */ /* .. Intrinsic Functions .. */ /* .. */ /* .. Executable Statements .. */ /* 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_ */