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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/cgbcon.c | |
parent | 01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff) | |
download | ydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz |
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/cgbcon.c')
-rw-r--r-- | contrib/libs/clapack/cgbcon.c | 307 |
1 files changed, 307 insertions, 0 deletions
diff --git a/contrib/libs/clapack/cgbcon.c b/contrib/libs/clapack/cgbcon.c new file mode 100644 index 0000000000..3e75842892 --- /dev/null +++ b/contrib/libs/clapack/cgbcon.c @@ -0,0 +1,307 @@ +/* cgbcon.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 cgbcon_(char *norm, integer *n, integer *kl, integer *ku, + complex *ab, integer *ldab, integer *ipiv, real *anorm, real *rcond, + complex *work, real *rwork, integer *info) +{ + /* System generated locals */ + integer ab_dim1, ab_offset, i__1, i__2, i__3; + real r__1, r__2; + complex q__1, q__2; + + /* Builtin functions */ + double r_imag(complex *); + + /* Local variables */ + integer j; + complex t; + integer kd, lm, jp, ix, kase, kase1; + real scale; + extern /* Complex */ VOID cdotc_(complex *, integer *, complex *, integer + *, complex *, integer *); + extern logical lsame_(char *, char *); + integer isave[3]; + extern /* Subroutine */ int caxpy_(integer *, complex *, complex *, + integer *, complex *, integer *); + logical lnoti; + extern /* Subroutine */ int clacn2_(integer *, complex *, complex *, real + *, integer *, integer *); + extern integer icamax_(integer *, complex *, integer *); + extern doublereal slamch_(char *); + extern /* Subroutine */ int clatbs_(char *, char *, char *, char *, + integer *, integer *, complex *, integer *, complex *, real *, + real *, integer *), xerbla_(char * +, integer *); + real ainvnm; + extern /* Subroutine */ int csrscl_(integer *, real *, complex *, integer + *); + logical onenrm; + char normin[1]; + real smlnum; + + +/* -- LAPACK routine (version 3.2) -- */ +/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ +/* November 2006 */ + +/* Modified to call CLACN2 in place of CLACON, 10 Feb 03, SJH. */ + +/* .. Scalar Arguments .. */ +/* .. */ +/* .. Array Arguments .. */ +/* .. */ + +/* Purpose */ +/* ======= */ + +/* CGBCON estimates the reciprocal of the condition number of a complex */ +/* general band matrix A, in either the 1-norm or the infinity-norm, */ +/* using the LU factorization computed by CGBTRF. */ + +/* An estimate is obtained for norm(inv(A)), and the reciprocal of the */ +/* condition number is computed as */ +/* RCOND = 1 / ( norm(A) * norm(inv(A)) ). */ + +/* Arguments */ +/* ========= */ + +/* NORM (input) CHARACTER*1 */ +/* Specifies whether the 1-norm condition number or the */ +/* infinity-norm condition number is required: */ +/* = '1' or 'O': 1-norm; */ +/* = 'I': Infinity-norm. */ + +/* N (input) INTEGER */ +/* The order of the matrix A. N >= 0. */ + +/* KL (input) INTEGER */ +/* The number of subdiagonals within the band of A. KL >= 0. */ + +/* KU (input) INTEGER */ +/* The number of superdiagonals within the band of A. KU >= 0. */ + +/* AB (input) COMPLEX array, dimension (LDAB,N) */ +/* Details of the LU factorization of the band matrix A, as */ +/* computed by CGBTRF. U is stored as an upper triangular band */ +/* matrix with KL+KU superdiagonals in rows 1 to KL+KU+1, and */ +/* the multipliers used during the factorization are stored in */ +/* rows KL+KU+2 to 2*KL+KU+1. */ + +/* LDAB (input) INTEGER */ +/* The leading dimension of the array AB. LDAB >= 2*KL+KU+1. */ + +/* IPIV (input) INTEGER array, dimension (N) */ +/* The pivot indices; for 1 <= i <= N, row i of the matrix was */ +/* interchanged with row IPIV(i). */ + +/* ANORM (input) REAL */ +/* If NORM = '1' or 'O', the 1-norm of the original matrix A. */ +/* If NORM = 'I', the infinity-norm of the original matrix A. */ + +/* RCOND (output) REAL */ +/* The reciprocal of the condition number of the matrix A, */ +/* computed as RCOND = 1/(norm(A) * norm(inv(A))). */ + +/* WORK (workspace) COMPLEX array, dimension (2*N) */ + +/* RWORK (workspace) REAL array, dimension (N) */ + +/* INFO (output) INTEGER */ +/* = 0: successful exit */ +/* < 0: if INFO = -i, the i-th argument had an illegal value */ + +/* ===================================================================== */ + +/* .. Parameters .. */ +/* .. */ +/* .. Local Scalars .. */ +/* .. */ +/* .. Local Arrays .. */ +/* .. */ +/* .. External Functions .. */ +/* .. */ +/* .. External Subroutines .. */ +/* .. */ +/* .. Intrinsic Functions .. */ +/* .. */ +/* .. Statement Functions .. */ +/* .. */ +/* .. Statement Function definitions .. */ +/* .. */ +/* .. Executable Statements .. */ + +/* Test the input parameters. */ + + /* Parameter adjustments */ + ab_dim1 = *ldab; + ab_offset = 1 + ab_dim1; + ab -= ab_offset; + --ipiv; + --work; + --rwork; + + /* Function Body */ + *info = 0; + onenrm = *(unsigned char *)norm == '1' || lsame_(norm, "O"); + if (! onenrm && ! lsame_(norm, "I")) { + *info = -1; + } else if (*n < 0) { + *info = -2; + } else if (*kl < 0) { + *info = -3; + } else if (*ku < 0) { + *info = -4; + } else if (*ldab < (*kl << 1) + *ku + 1) { + *info = -6; + } else if (*anorm < 0.f) { + *info = -8; + } + if (*info != 0) { + i__1 = -(*info); + xerbla_("CGBCON", &i__1); + return 0; + } + +/* Quick return if possible */ + + *rcond = 0.f; + if (*n == 0) { + *rcond = 1.f; + return 0; + } else if (*anorm == 0.f) { + return 0; + } + + smlnum = slamch_("Safe minimum"); + +/* Estimate the norm of inv(A). */ + + ainvnm = 0.f; + *(unsigned char *)normin = 'N'; + if (onenrm) { + kase1 = 1; + } else { + kase1 = 2; + } + kd = *kl + *ku + 1; + lnoti = *kl > 0; + kase = 0; +L10: + clacn2_(n, &work[*n + 1], &work[1], &ainvnm, &kase, isave); + if (kase != 0) { + if (kase == kase1) { + +/* Multiply by inv(L). */ + + if (lnoti) { + i__1 = *n - 1; + for (j = 1; j <= i__1; ++j) { +/* Computing MIN */ + i__2 = *kl, i__3 = *n - j; + lm = min(i__2,i__3); + jp = ipiv[j]; + i__2 = jp; + t.r = work[i__2].r, t.i = work[i__2].i; + if (jp != j) { + i__2 = jp; + i__3 = j; + work[i__2].r = work[i__3].r, work[i__2].i = work[i__3] + .i; + i__2 = j; + work[i__2].r = t.r, work[i__2].i = t.i; + } + q__1.r = -t.r, q__1.i = -t.i; + caxpy_(&lm, &q__1, &ab[kd + 1 + j * ab_dim1], &c__1, & + work[j + 1], &c__1); +/* L20: */ + } + } + +/* Multiply by inv(U). */ + + i__1 = *kl + *ku; + clatbs_("Upper", "No transpose", "Non-unit", normin, n, &i__1, & + ab[ab_offset], ldab, &work[1], &scale, &rwork[1], info); + } else { + +/* Multiply by inv(U'). */ + + i__1 = *kl + *ku; + clatbs_("Upper", "Conjugate transpose", "Non-unit", normin, n, & + i__1, &ab[ab_offset], ldab, &work[1], &scale, &rwork[1], + info); + +/* Multiply by inv(L'). */ + + if (lnoti) { + for (j = *n - 1; j >= 1; --j) { +/* Computing MIN */ + i__1 = *kl, i__2 = *n - j; + lm = min(i__1,i__2); + i__1 = j; + i__2 = j; + cdotc_(&q__2, &lm, &ab[kd + 1 + j * ab_dim1], &c__1, & + work[j + 1], &c__1); + q__1.r = work[i__2].r - q__2.r, q__1.i = work[i__2].i - + q__2.i; + work[i__1].r = q__1.r, work[i__1].i = q__1.i; + jp = ipiv[j]; + if (jp != j) { + i__1 = jp; + t.r = work[i__1].r, t.i = work[i__1].i; + i__1 = jp; + i__2 = j; + work[i__1].r = work[i__2].r, work[i__1].i = work[i__2] + .i; + i__1 = j; + work[i__1].r = t.r, work[i__1].i = t.i; + } +/* L30: */ + } + } + } + +/* Divide X by 1/SCALE if doing so will not cause overflow. */ + + *(unsigned char *)normin = 'Y'; + if (scale != 1.f) { + ix = icamax_(n, &work[1], &c__1); + i__1 = ix; + if (scale < ((r__1 = work[i__1].r, dabs(r__1)) + (r__2 = r_imag(& + work[ix]), dabs(r__2))) * smlnum || scale == 0.f) { + goto L40; + } + csrscl_(n, &scale, &work[1], &c__1); + } + goto L10; + } + +/* Compute the estimate of the reciprocal condition number. */ + + if (ainvnm != 0.f) { + *rcond = 1.f / ainvnm / *anorm; + } + +L40: + return 0; + +/* End of CGBCON */ + +} /* cgbcon_ */ |