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author | shmel1k <shmel1k@ydb.tech> | 2022-09-02 12:44:59 +0300 |
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committer | shmel1k <shmel1k@ydb.tech> | 2022-09-02 12:44:59 +0300 |
commit | 90d450f74722da7859d6f510a869f6c6908fd12f (patch) | |
tree | 538c718dedc76cdfe37ad6d01ff250dd930d9278 /contrib/libs/clapack/dgesc2.c | |
parent | 01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff) | |
download | ydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz |
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/dgesc2.c')
-rw-r--r-- | contrib/libs/clapack/dgesc2.c | 176 |
1 files changed, 176 insertions, 0 deletions
diff --git a/contrib/libs/clapack/dgesc2.c b/contrib/libs/clapack/dgesc2.c new file mode 100644 index 0000000000..1f7163116b --- /dev/null +++ b/contrib/libs/clapack/dgesc2.c @@ -0,0 +1,176 @@ +/* dgesc2.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; +static integer c_n1 = -1; + +/* Subroutine */ int dgesc2_(integer *n, doublereal *a, integer *lda, + doublereal *rhs, integer *ipiv, integer *jpiv, doublereal *scale) +{ + /* System generated locals */ + integer a_dim1, a_offset, i__1, i__2; + doublereal d__1, d__2; + + /* Local variables */ + integer i__, j; + doublereal eps, temp; + extern /* Subroutine */ int dscal_(integer *, doublereal *, doublereal *, + integer *), dlabad_(doublereal *, doublereal *); + extern doublereal dlamch_(char *); + extern integer idamax_(integer *, doublereal *, integer *); + doublereal bignum; + extern /* Subroutine */ int dlaswp_(integer *, doublereal *, integer *, + integer *, integer *, integer *, integer *); + doublereal smlnum; + + +/* -- LAPACK auxiliary routine (version 3.2) -- */ +/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ +/* November 2006 */ + +/* .. Scalar Arguments .. */ +/* .. */ +/* .. Array Arguments .. */ +/* .. */ + +/* Purpose */ +/* ======= */ + +/* DGESC2 solves a system of linear equations */ + +/* A * X = scale* RHS */ + +/* with a general N-by-N matrix A using the LU factorization with */ +/* complete pivoting computed by DGETC2. */ + +/* Arguments */ +/* ========= */ + +/* N (input) INTEGER */ +/* The order of the matrix A. */ + +/* A (input) DOUBLE PRECISION array, dimension (LDA,N) */ +/* On entry, the LU part of the factorization of the n-by-n */ +/* matrix A computed by DGETC2: A = P * L * U * Q */ + +/* LDA (input) INTEGER */ +/* The leading dimension of the array A. LDA >= max(1, N). */ + +/* RHS (input/output) DOUBLE PRECISION array, dimension (N). */ +/* On entry, the right hand side vector b. */ +/* On exit, the solution vector X. */ + +/* IPIV (input) INTEGER array, dimension (N). */ +/* The pivot indices; for 1 <= i <= N, row i of the */ +/* matrix has been interchanged with row IPIV(i). */ + +/* JPIV (input) INTEGER array, dimension (N). */ +/* The pivot indices; for 1 <= j <= N, column j of the */ +/* matrix has been interchanged with column JPIV(j). */ + +/* SCALE (output) DOUBLE PRECISION */ +/* On exit, SCALE contains the scale factor. SCALE is chosen */ +/* 0 <= SCALE <= 1 to prevent owerflow in the solution. */ + +/* Further Details */ +/* =============== */ + +/* Based on contributions by */ +/* Bo Kagstrom and Peter Poromaa, Department of Computing Science, */ +/* Umea University, S-901 87 Umea, Sweden. */ + +/* ===================================================================== */ + +/* .. Parameters .. */ +/* .. */ +/* .. Local Scalars .. */ +/* .. */ +/* .. External Subroutines .. */ +/* .. */ +/* .. External Functions .. */ +/* .. */ +/* .. Intrinsic Functions .. */ +/* .. */ +/* .. Executable Statements .. */ + +/* Set constant to control owerflow */ + + /* Parameter adjustments */ + a_dim1 = *lda; + a_offset = 1 + a_dim1; + a -= a_offset; + --rhs; + --ipiv; + --jpiv; + + /* Function Body */ + eps = dlamch_("P"); + smlnum = dlamch_("S") / eps; + bignum = 1. / smlnum; + dlabad_(&smlnum, &bignum); + +/* Apply permutations IPIV to RHS */ + + i__1 = *n - 1; + dlaswp_(&c__1, &rhs[1], lda, &c__1, &i__1, &ipiv[1], &c__1); + +/* Solve for L part */ + + i__1 = *n - 1; + for (i__ = 1; i__ <= i__1; ++i__) { + i__2 = *n; + for (j = i__ + 1; j <= i__2; ++j) { + rhs[j] -= a[j + i__ * a_dim1] * rhs[i__]; +/* L10: */ + } +/* L20: */ + } + +/* Solve for U part */ + + *scale = 1.; + +/* Check for scaling */ + + i__ = idamax_(n, &rhs[1], &c__1); + if (smlnum * 2. * (d__1 = rhs[i__], abs(d__1)) > (d__2 = a[*n + *n * + a_dim1], abs(d__2))) { + temp = .5 / (d__1 = rhs[i__], abs(d__1)); + dscal_(n, &temp, &rhs[1], &c__1); + *scale *= temp; + } + + for (i__ = *n; i__ >= 1; --i__) { + temp = 1. / a[i__ + i__ * a_dim1]; + rhs[i__] *= temp; + i__1 = *n; + for (j = i__ + 1; j <= i__1; ++j) { + rhs[i__] -= rhs[j] * (a[i__ + j * a_dim1] * temp); +/* L30: */ + } +/* L40: */ + } + +/* Apply permutations JPIV to the solution (RHS) */ + + i__1 = *n - 1; + dlaswp_(&c__1, &rhs[1], lda, &c__1, &i__1, &jpiv[1], &c_n1); + return 0; + +/* End of DGESC2 */ + +} /* dgesc2_ */ |