#include "blaswrap.h" #ifdef _cpluscplus extern "C" { #endif #include "f2c.h" /* Subroutine */ int dtrti2_(char *uplo, char *diag, integer *n, doublereal * a, integer *lda, integer *info) { /* -- LAPACK routine (version 3.0) -- Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd., Courant Institute, Argonne National Lab, and Rice University February 29, 1992 Purpose ======= DTRTI2 computes the inverse of a real upper or lower triangular matrix. This is the Level 2 BLAS version of the algorithm. Arguments ========= UPLO (input) CHARACTER*1 Specifies whether the matrix A is upper or lower triangular. = 'U': Upper triangular = 'L': Lower triangular DIAG (input) CHARACTER*1 Specifies whether or not the matrix A is unit triangular. = 'N': Non-unit triangular = 'U': Unit triangular N (input) INTEGER The order of the matrix A. N >= 0. A (input/output) DOUBLE PRECISION array, dimension (LDA,N) On entry, the triangular matrix A. If UPLO = 'U', the leading n by n upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If UPLO = 'L', the leading n by n lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = 'U', the diagonal elements of A are also not referenced and are assumed to be 1. On exit, the (triangular) inverse of the original matrix, in the same storage format. LDA (input) INTEGER The leading dimension of the array A. LDA >= max(1,N). INFO (output) INTEGER = 0: successful exit < 0: if INFO = -k, the k-th argument had an illegal value ===================================================================== Test the input parameters. Parameter adjustments */ /* Table of constant values */ static integer c__1 = 1; /* System generated locals */ integer a_dim1, a_offset, i__1, i__2; /* Local variables */ static integer j; extern /* Subroutine */ int dscal_(integer *, doublereal *, doublereal *, integer *); extern logical lsame_(char *, char *); static logical upper; extern /* Subroutine */ int dtrmv_(char *, char *, char *, integer *, doublereal *, integer *, doublereal *, integer *), xerbla_(char *, integer *); static logical nounit; static doublereal ajj; #define a_ref(a_1,a_2) a[(a_2)*a_dim1 + a_1] a_dim1 = *lda; a_offset = 1 + a_dim1 * 1; a -= a_offset; /* Function Body */ *info = 0; upper = lsame_(uplo, "U"); nounit = lsame_(diag, "N"); if (! upper && ! lsame_(uplo, "L")) { *info = -1; } else if (! nounit && ! lsame_(diag, "U")) { *info = -2; } else if (*n < 0) { *info = -3; } else if (*lda < max(1,*n)) { *info = -5; } if (*info != 0) { i__1 = -(*info); xerbla_("DTRTI2", &i__1); return 0; } if (upper) { /* Compute inverse of upper triangular matrix. */ i__1 = *n; for (j = 1; j <= i__1; ++j) { if (nounit) { a_ref(j, j) = 1. / a_ref(j, j); ajj = -a_ref(j, j); } else { ajj = -1.; } /* Compute elements 1:j-1 of j-th column. */ i__2 = j - 1; dtrmv_("Upper", "No transpose", diag, &i__2, &a[a_offset], lda, & a_ref(1, j), &c__1); i__2 = j - 1; dscal_(&i__2, &ajj, &a_ref(1, j), &c__1); /* L10: */ } } else { /* Compute inverse of lower triangular matrix. */ for (j = *n; j >= 1; --j) { if (nounit) { a_ref(j, j) = 1. / a_ref(j, j); ajj = -a_ref(j, j); } else { ajj = -1.; } if (j < *n) { /* Compute elements j+1:n of j-th column. */ i__1 = *n - j; dtrmv_("Lower", "No transpose", diag, &i__1, &a_ref(j + 1, j + 1), lda, &a_ref(j + 1, j), &c__1); i__1 = *n - j; dscal_(&i__1, &ajj, &a_ref(j + 1, j), &c__1); } /* L20: */ } } return 0; /* End of DTRTI2 */ } /* dtrti2_ */ #undef a_ref #ifdef _cpluscplus } #endif