#include "f2c.h" #include "blaswrap.h" /* Table of constant values */ static integer c__1 = 1; static integer c_n1 = -1; /* Subroutine */ int cpttrs_(char *uplo, integer *n, integer *nrhs, real *d__, complex *e, complex *b, integer *ldb, integer *info) { /* System generated locals */ integer b_dim1, b_offset, i__1, i__2, i__3; /* Local variables */ integer j, jb, nb, iuplo; logical upper; extern /* Subroutine */ int cptts2_(integer *, integer *, integer *, real *, complex *, complex *, integer *), xerbla_(char *, integer *); extern integer ilaenv_(integer *, char *, char *, integer *, integer *, integer *, integer *); /* -- LAPACK routine (version 3.1) -- */ /* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ /* November 2006 */ /* .. Scalar Arguments .. */ /* .. */ /* .. Array Arguments .. */ /* .. */ /* Purpose */ /* ======= */ /* CPTTRS solves a tridiagonal system of the form */ /* A * X = B */ /* using the factorization A = U'*D*U or A = L*D*L' computed by CPTTRF. */ /* D is a diagonal matrix specified in the vector D, U (or L) is a unit */ /* bidiagonal matrix whose superdiagonal (subdiagonal) is specified in */ /* the vector E, and X and B are N by NRHS matrices. */ /* Arguments */ /* ========= */ /* UPLO (input) CHARACTER*1 */ /* Specifies the form of the factorization and whether the */ /* vector E is the superdiagonal of the upper bidiagonal factor */ /* U or the subdiagonal of the lower bidiagonal factor L. */ /* = 'U': A = U'*D*U, E is the superdiagonal of U */ /* = 'L': A = L*D*L', E is the subdiagonal of L */ /* N (input) INTEGER */ /* The order of the tridiagonal 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. */ /* D (input) REAL array, dimension (N) */ /* The n diagonal elements of the diagonal matrix D from the */ /* factorization A = U'*D*U or A = L*D*L'. */ /* E (input) COMPLEX array, dimension (N-1) */ /* If UPLO = 'U', the (n-1) superdiagonal elements of the unit */ /* bidiagonal factor U from the factorization A = U'*D*U. */ /* If UPLO = 'L', the (n-1) subdiagonal elements of the unit */ /* bidiagonal factor L from the factorization A = L*D*L'. */ /* B (input/output) REAL array, dimension (LDB,NRHS) */ /* On entry, the right hand side vectors B for the system of */ /* linear equations. */ /* On exit, the solution vectors, X. */ /* LDB (input) INTEGER */ /* The leading dimension of the array B. LDB >= max(1,N). */ /* INFO (output) INTEGER */ /* = 0: successful exit */ /* < 0: if INFO = -k, the k-th argument had an illegal value */ /* ===================================================================== */ /* .. Local Scalars .. */ /* .. */ /* .. External Functions .. */ /* .. */ /* .. External Subroutines .. */ /* .. */ /* .. Intrinsic Functions .. */ /* .. */ /* .. Executable Statements .. */ /* Test the input arguments. */ /* Parameter adjustments */ --d__; --e; b_dim1 = *ldb; b_offset = 1 + b_dim1; b -= b_offset; /* Function Body */ *info = 0; upper = *(unsigned char *)uplo == 'U' || *(unsigned char *)uplo == 'u'; if (! upper && ! (*(unsigned char *)uplo == 'L' || *(unsigned char *)uplo == 'l')) { *info = -1; } else if (*n < 0) { *info = -2; } else if (*nrhs < 0) { *info = -3; } else if (*ldb < max(1,*n)) { *info = -7; } if (*info != 0) { i__1 = -(*info); xerbla_("CPTTRS", &i__1); return 0; } /* Quick return if possible */ if (*n == 0 || *nrhs == 0) { return 0; } /* Determine the number of right-hand sides to solve at a time. */ if (*nrhs == 1) { nb = 1; } else { /* Computing MAX */ i__1 = 1, i__2 = ilaenv_(&c__1, "CPTTRS", uplo, n, nrhs, &c_n1, &c_n1); nb = max(i__1,i__2); } /* Decode UPLO */ if (upper) { iuplo = 1; } else { iuplo = 0; } if (nb >= *nrhs) { cptts2_(&iuplo, n, nrhs, &d__[1], &e[1], &b[b_offset], ldb); } else { i__1 = *nrhs; i__2 = nb; for (j = 1; i__2 < 0 ? j >= i__1 : j <= i__1; j += i__2) { /* Computing MIN */ i__3 = *nrhs - j + 1; jb = min(i__3,nb); cptts2_(&iuplo, n, &jb, &d__[1], &e[1], &b[j * b_dim1 + 1], ldb); /* L10: */ } } return 0; /* End of CPTTRS */ } /* cpttrs_ */