diff options
author | shmel1k <shmel1k@ydb.tech> | 2022-09-02 12:44:59 +0300 |
---|---|---|
committer | shmel1k <shmel1k@ydb.tech> | 2022-09-02 12:44:59 +0300 |
commit | 90d450f74722da7859d6f510a869f6c6908fd12f (patch) | |
tree | 538c718dedc76cdfe37ad6d01ff250dd930d9278 /contrib/libs/clapack/cpptrf.c | |
parent | 01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff) | |
download | ydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz |
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/cpptrf.c')
-rw-r--r-- | contrib/libs/clapack/cpptrf.c | 234 |
1 files changed, 234 insertions, 0 deletions
diff --git a/contrib/libs/clapack/cpptrf.c b/contrib/libs/clapack/cpptrf.c new file mode 100644 index 0000000000..39bf238262 --- /dev/null +++ b/contrib/libs/clapack/cpptrf.c @@ -0,0 +1,234 @@ +/* cpptrf.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 real c_b16 = -1.f; + +/* Subroutine */ int cpptrf_(char *uplo, integer *n, complex *ap, integer * + info) +{ + /* System generated locals */ + integer i__1, i__2, i__3; + real r__1; + complex q__1, q__2; + + /* Builtin functions */ + double sqrt(doublereal); + + /* Local variables */ + integer j, jc, jj; + real ajj; + extern /* Subroutine */ int chpr_(char *, integer *, real *, complex *, + integer *, complex *); + extern /* Complex */ VOID cdotc_(complex *, integer *, complex *, integer + *, complex *, integer *); + extern logical lsame_(char *, char *); + logical upper; + extern /* Subroutine */ int ctpsv_(char *, char *, char *, integer *, + complex *, complex *, integer *), csscal_( + integer *, real *, complex *, integer *), xerbla_(char *, integer + *); + + +/* -- LAPACK routine (version 3.2) -- */ +/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ +/* November 2006 */ + +/* .. Scalar Arguments .. */ +/* .. */ +/* .. Array Arguments .. */ +/* .. */ + +/* Purpose */ +/* ======= */ + +/* CPPTRF computes the Cholesky factorization of a complex Hermitian */ +/* positive definite matrix A stored in packed format. */ + +/* The factorization has the form */ +/* A = U**H * U, if UPLO = 'U', or */ +/* A = L * L**H, if UPLO = 'L', */ +/* where U is an upper triangular matrix and L is lower triangular. */ + +/* Arguments */ +/* ========= */ + +/* UPLO (input) CHARACTER*1 */ +/* = 'U': Upper triangle of A is stored; */ +/* = 'L': Lower triangle of A is stored. */ + +/* N (input) INTEGER */ +/* The order of the matrix A. N >= 0. */ + +/* AP (input/output) COMPLEX array, dimension (N*(N+1)/2) */ +/* On entry, the upper or lower triangle of the Hermitian 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)*(2n-j)/2) = A(i,j) for j<=i<=n. */ +/* See below for further details. */ + +/* On exit, if INFO = 0, the triangular factor U or L from the */ +/* Cholesky factorization A = U**H*U or A = L*L**H, in the same */ +/* storage format as A. */ + +/* INFO (output) INTEGER */ +/* = 0: successful exit */ +/* < 0: if INFO = -i, the i-th argument had an illegal value */ +/* > 0: if INFO = i, the leading minor of order i is not */ +/* positive definite, and the factorization could not be */ +/* completed. */ + +/* Further Details */ +/* =============== */ + +/* The packed storage scheme is illustrated by the following example */ +/* when N = 4, UPLO = 'U': */ + +/* Two-dimensional storage of the Hermitian matrix A: */ + +/* a11 a12 a13 a14 */ +/* a22 a23 a24 */ +/* a33 a34 (aij = conjg(aji)) */ +/* a44 */ + +/* Packed storage of the upper triangle of A: */ + +/* AP = [ a11, a12, a22, a13, a23, a33, a14, a24, a34, a44 ] */ + +/* ===================================================================== */ + +/* .. Parameters .. */ +/* .. */ +/* .. Local Scalars .. */ +/* .. */ +/* .. External Functions .. */ +/* .. */ +/* .. External Subroutines .. */ +/* .. */ +/* .. Intrinsic Functions .. */ +/* .. */ +/* .. Executable Statements .. */ + +/* Test the input parameters. */ + + /* Parameter adjustments */ + --ap; + + /* Function Body */ + *info = 0; + upper = lsame_(uplo, "U"); + if (! upper && ! lsame_(uplo, "L")) { + *info = -1; + } else if (*n < 0) { + *info = -2; + } + if (*info != 0) { + i__1 = -(*info); + xerbla_("CPPTRF", &i__1); + return 0; + } + +/* Quick return if possible */ + + if (*n == 0) { + return 0; + } + + if (upper) { + +/* Compute the Cholesky factorization A = U'*U. */ + + jj = 0; + i__1 = *n; + for (j = 1; j <= i__1; ++j) { + jc = jj + 1; + jj += j; + +/* Compute elements 1:J-1 of column J. */ + + if (j > 1) { + i__2 = j - 1; + ctpsv_("Upper", "Conjugate transpose", "Non-unit", &i__2, &ap[ + 1], &ap[jc], &c__1); + } + +/* Compute U(J,J) and test for non-positive-definiteness. */ + + i__2 = jj; + r__1 = ap[i__2].r; + i__3 = j - 1; + cdotc_(&q__2, &i__3, &ap[jc], &c__1, &ap[jc], &c__1); + q__1.r = r__1 - q__2.r, q__1.i = -q__2.i; + ajj = q__1.r; + if (ajj <= 0.f) { + i__2 = jj; + ap[i__2].r = ajj, ap[i__2].i = 0.f; + goto L30; + } + i__2 = jj; + r__1 = sqrt(ajj); + ap[i__2].r = r__1, ap[i__2].i = 0.f; +/* L10: */ + } + } else { + +/* Compute the Cholesky factorization A = L*L'. */ + + jj = 1; + i__1 = *n; + for (j = 1; j <= i__1; ++j) { + +/* Compute L(J,J) and test for non-positive-definiteness. */ + + i__2 = jj; + ajj = ap[i__2].r; + if (ajj <= 0.f) { + i__2 = jj; + ap[i__2].r = ajj, ap[i__2].i = 0.f; + goto L30; + } + ajj = sqrt(ajj); + i__2 = jj; + ap[i__2].r = ajj, ap[i__2].i = 0.f; + +/* Compute elements J+1:N of column J and update the trailing */ +/* submatrix. */ + + if (j < *n) { + i__2 = *n - j; + r__1 = 1.f / ajj; + csscal_(&i__2, &r__1, &ap[jj + 1], &c__1); + i__2 = *n - j; + chpr_("Lower", &i__2, &c_b16, &ap[jj + 1], &c__1, &ap[jj + *n + - j + 1]); + jj = jj + *n - j + 1; + } +/* L20: */ + } + } + goto L40; + +L30: + *info = j; + +L40: + return 0; + +/* End of CPPTRF */ + +} /* cpptrf_ */ |