/* dtptrs.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" #include "blaswrap.h" /* Table of constant values */ static integer c__1 = 1; /* Subroutine */ int dtptrs_(char *uplo, char *trans, char *diag, integer *n, integer *nrhs, doublereal *ap, doublereal *b, integer *ldb, integer * info) { /* System generated locals */ integer b_dim1, b_offset, i__1; /* Local variables */ integer j, jc; extern logical lsame_(char *, char *); logical upper; extern /* Subroutine */ int dtpsv_(char *, char *, char *, integer *, doublereal *, doublereal *, integer *), xerbla_(char *, integer *); logical nounit; /* -- LAPACK routine (version 3.2) -- */ /* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ /* November 2006 */ /* .. Scalar Arguments .. */ /* .. */ /* .. Array Arguments .. */ /* .. */ /* Purpose */ /* ======= */ /* DTPTRS solves a triangular system of the form */ /* A * X = B or A**T * X = B, */ /* where A is a triangular matrix of order N stored in packed format, */ /* and B is an N-by-NRHS matrix. A check is made to verify that A is */ /* nonsingular. */ /* Arguments */ /* ========= */ /* UPLO (input) CHARACTER*1 */ /* = 'U': A is upper triangular; */ /* = 'L': A is lower triangular. */ /* TRANS (input) CHARACTER*1 */ /* Specifies the form of the system of equations: */ /* = 'N': A * X = B (No transpose) */ /* = 'T': A**T * X = B (Transpose) */ /* = 'C': A**H * X = B (Conjugate transpose = Transpose) */ /* DIAG (input) CHARACTER*1 */ /* = 'N': A is non-unit triangular; */ /* = 'U': A is unit triangular. */ /* N (input) INTEGER */ /* The order of the matrix A. N >= 0. */ /* NRHS (input) INTEGER */ /* The number of right hand sides, i.e., the number of columns */ /* of the matrix B. NRHS >= 0. */ /* AP (input) DOUBLE PRECISION array, dimension (N*(N+1)/2) */ /* The upper or lower triangular matrix A, packed columnwise in */ /* a linear array. The j-th column of A is stored in the array */ /* AP as follows: */ /* if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j; */ /* if UPLO = 'L', AP(i + (j-1)*(2*n-j)/2) = A(i,j) for j<=i<=n. */ /* B (input/output) DOUBLE PRECISION array, dimension (LDB,NRHS) */ /* On entry, the right hand side matrix B. */ /* On exit, if INFO = 0, the solution matrix X. */ /* LDB (input) INTEGER */ /* The leading dimension of the array B. LDB >= max(1,N). */ /* INFO (output) INTEGER */ /* = 0: successful exit */ /* < 0: if INFO = -i, the i-th argument had an illegal value */ /* > 0: if INFO = i, the i-th diagonal element of A is zero, */ /* indicating that the matrix is singular and the */ /* solutions X have not been computed. */ /* ===================================================================== */ /* .. Parameters .. */ /* .. */ /* .. Local Scalars .. */ /* .. */ /* .. External Functions .. */ /* .. */ /* .. External Subroutines .. */ /* .. */ /* .. Intrinsic Functions .. */ /* .. */ /* .. Executable Statements .. */ /* Test the input parameters. */ /* Parameter adjustments */ --ap; b_dim1 = *ldb; b_offset = 1 + b_dim1; b -= b_offset; /* Function Body */ *info = 0; upper = lsame_(uplo, "U"); nounit = lsame_(diag, "N"); if (! upper && ! lsame_(uplo, "L")) { *info = -1; } else if (! lsame_(trans, "N") && ! lsame_(trans, "T") && ! lsame_(trans, "C")) { *info = -2; } else if (! nounit && ! lsame_(diag, "U")) { *info = -3; } else if (*n < 0) { *info = -4; } else if (*nrhs < 0) { *info = -5; } else if (*ldb < max(1,*n)) { *info = -8; } if (*info != 0) { i__1 = -(*info); xerbla_("DTPTRS", &i__1); return 0; } /* Quick return if possible */ if (*n == 0) { return 0; } /* Check for singularity. */ if (nounit) { if (upper) { jc = 1; i__1 = *n; for (*info = 1; *info <= i__1; ++(*info)) { if (ap[jc + *info - 1] == 0.) { return 0; } jc += *info; /* L10: */ } } else { jc = 1; i__1 = *n; for (*info = 1; *info <= i__1; ++(*info)) { if (ap[jc] == 0.) { return 0; } jc = jc + *n - *info + 1; /* L20: */ } } } *info = 0; /* Solve A * x = b or A' * x = b. */ i__1 = *nrhs; for (j = 1; j <= i__1; ++j) { dtpsv_(uplo, trans, diag, n, &ap[1], &b[j * b_dim1 + 1], &c__1); /* L30: */ } return 0; /* End of DTPTRS */ } /* dtptrs_ */