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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/strexc.c | |
parent | 01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff) | |
download | ydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz |
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/strexc.c')
-rw-r--r-- | contrib/libs/clapack/strexc.c | 403 |
1 files changed, 403 insertions, 0 deletions
diff --git a/contrib/libs/clapack/strexc.c b/contrib/libs/clapack/strexc.c new file mode 100644 index 0000000000..cc8c88f64b --- /dev/null +++ b/contrib/libs/clapack/strexc.c @@ -0,0 +1,403 @@ +/* strexc.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__2 = 2; + +/* Subroutine */ int strexc_(char *compq, integer *n, real *t, integer *ldt, + real *q, integer *ldq, integer *ifst, integer *ilst, real *work, + integer *info) +{ + /* System generated locals */ + integer q_dim1, q_offset, t_dim1, t_offset, i__1; + + /* Local variables */ + integer nbf, nbl, here; + extern logical lsame_(char *, char *); + logical wantq; + extern /* Subroutine */ int xerbla_(char *, integer *), slaexc_( + logical *, integer *, real *, integer *, real *, integer *, + integer *, integer *, integer *, real *, integer *); + integer nbnext; + + +/* -- LAPACK routine (version 3.2) -- */ +/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ +/* November 2006 */ + +/* .. Scalar Arguments .. */ +/* .. */ +/* .. Array Arguments .. */ +/* .. */ + +/* Purpose */ +/* ======= */ + +/* STREXC reorders the real Schur factorization of a real matrix */ +/* A = Q*T*Q**T, so that the diagonal block of T with row index IFST is */ +/* moved to row ILST. */ + +/* The real Schur form T is reordered by an orthogonal similarity */ +/* transformation Z**T*T*Z, and optionally the matrix Q of Schur vectors */ +/* is updated by postmultiplying it with Z. */ + +/* T must be in Schur canonical form (as returned by SHSEQR), that is, */ +/* block upper triangular with 1-by-1 and 2-by-2 diagonal blocks; each */ +/* 2-by-2 diagonal block has its diagonal elements equal and its */ +/* off-diagonal elements of opposite sign. */ + +/* Arguments */ +/* ========= */ + +/* COMPQ (input) CHARACTER*1 */ +/* = 'V': update the matrix Q of Schur vectors; */ +/* = 'N': do not update Q. */ + +/* N (input) INTEGER */ +/* The order of the matrix T. N >= 0. */ + +/* T (input/output) REAL array, dimension (LDT,N) */ +/* On entry, the upper quasi-triangular matrix T, in Schur */ +/* Schur canonical form. */ +/* On exit, the reordered upper quasi-triangular matrix, again */ +/* in Schur canonical form. */ + +/* LDT (input) INTEGER */ +/* The leading dimension of the array T. LDT >= max(1,N). */ + +/* Q (input/output) REAL array, dimension (LDQ,N) */ +/* On entry, if COMPQ = 'V', the matrix Q of Schur vectors. */ +/* On exit, if COMPQ = 'V', Q has been postmultiplied by the */ +/* orthogonal transformation matrix Z which reorders T. */ +/* If COMPQ = 'N', Q is not referenced. */ + +/* LDQ (input) INTEGER */ +/* The leading dimension of the array Q. LDQ >= max(1,N). */ + +/* IFST (input/output) INTEGER */ +/* ILST (input/output) INTEGER */ +/* Specify the reordering of the diagonal blocks of T. */ +/* The block with row index IFST is moved to row ILST, by a */ +/* sequence of transpositions between adjacent blocks. */ +/* On exit, if IFST pointed on entry to the second row of a */ +/* 2-by-2 block, it is changed to point to the first row; ILST */ +/* always points to the first row of the block in its final */ +/* position (which may differ from its input value by +1 or -1). */ +/* 1 <= IFST <= N; 1 <= ILST <= N. */ + +/* WORK (workspace) REAL array, dimension (N) */ + +/* INFO (output) INTEGER */ +/* = 0: successful exit */ +/* < 0: if INFO = -i, the i-th argument had an illegal value */ +/* = 1: two adjacent blocks were too close to swap (the problem */ +/* is very ill-conditioned); T may have been partially */ +/* reordered, and ILST points to the first row of the */ +/* current position of the block being moved. */ + +/* ===================================================================== */ + +/* .. Parameters .. */ +/* .. */ +/* .. Local Scalars .. */ +/* .. */ +/* .. External Functions .. */ +/* .. */ +/* .. External Subroutines .. */ +/* .. */ +/* .. Intrinsic Functions .. */ +/* .. */ +/* .. Executable Statements .. */ + +/* Decode and test the input arguments. */ + + /* Parameter adjustments */ + t_dim1 = *ldt; + t_offset = 1 + t_dim1; + t -= t_offset; + q_dim1 = *ldq; + q_offset = 1 + q_dim1; + q -= q_offset; + --work; + + /* Function Body */ + *info = 0; + wantq = lsame_(compq, "V"); + if (! wantq && ! lsame_(compq, "N")) { + *info = -1; + } else if (*n < 0) { + *info = -2; + } else if (*ldt < max(1,*n)) { + *info = -4; + } else if (*ldq < 1 || wantq && *ldq < max(1,*n)) { + *info = -6; + } else if (*ifst < 1 || *ifst > *n) { + *info = -7; + } else if (*ilst < 1 || *ilst > *n) { + *info = -8; + } + if (*info != 0) { + i__1 = -(*info); + xerbla_("STREXC", &i__1); + return 0; + } + +/* Quick return if possible */ + + if (*n <= 1) { + return 0; + } + +/* Determine the first row of specified block */ +/* and find out it is 1 by 1 or 2 by 2. */ + + if (*ifst > 1) { + if (t[*ifst + (*ifst - 1) * t_dim1] != 0.f) { + --(*ifst); + } + } + nbf = 1; + if (*ifst < *n) { + if (t[*ifst + 1 + *ifst * t_dim1] != 0.f) { + nbf = 2; + } + } + +/* Determine the first row of the final block */ +/* and find out it is 1 by 1 or 2 by 2. */ + + if (*ilst > 1) { + if (t[*ilst + (*ilst - 1) * t_dim1] != 0.f) { + --(*ilst); + } + } + nbl = 1; + if (*ilst < *n) { + if (t[*ilst + 1 + *ilst * t_dim1] != 0.f) { + nbl = 2; + } + } + + if (*ifst == *ilst) { + return 0; + } + + if (*ifst < *ilst) { + +/* Update ILST */ + + if (nbf == 2 && nbl == 1) { + --(*ilst); + } + if (nbf == 1 && nbl == 2) { + ++(*ilst); + } + + here = *ifst; + +L10: + +/* Swap block with next one below */ + + if (nbf == 1 || nbf == 2) { + +/* Current block either 1 by 1 or 2 by 2 */ + + nbnext = 1; + if (here + nbf + 1 <= *n) { + if (t[here + nbf + 1 + (here + nbf) * t_dim1] != 0.f) { + nbnext = 2; + } + } + slaexc_(&wantq, n, &t[t_offset], ldt, &q[q_offset], ldq, &here, & + nbf, &nbnext, &work[1], info); + if (*info != 0) { + *ilst = here; + return 0; + } + here += nbnext; + +/* Test if 2 by 2 block breaks into two 1 by 1 blocks */ + + if (nbf == 2) { + if (t[here + 1 + here * t_dim1] == 0.f) { + nbf = 3; + } + } + + } else { + +/* Current block consists of two 1 by 1 blocks each of which */ +/* must be swapped individually */ + + nbnext = 1; + if (here + 3 <= *n) { + if (t[here + 3 + (here + 2) * t_dim1] != 0.f) { + nbnext = 2; + } + } + i__1 = here + 1; + slaexc_(&wantq, n, &t[t_offset], ldt, &q[q_offset], ldq, &i__1, & + c__1, &nbnext, &work[1], info); + if (*info != 0) { + *ilst = here; + return 0; + } + if (nbnext == 1) { + +/* Swap two 1 by 1 blocks, no problems possible */ + + slaexc_(&wantq, n, &t[t_offset], ldt, &q[q_offset], ldq, & + here, &c__1, &nbnext, &work[1], info); + ++here; + } else { + +/* Recompute NBNEXT in case 2 by 2 split */ + + if (t[here + 2 + (here + 1) * t_dim1] == 0.f) { + nbnext = 1; + } + if (nbnext == 2) { + +/* 2 by 2 Block did not split */ + + slaexc_(&wantq, n, &t[t_offset], ldt, &q[q_offset], ldq, & + here, &c__1, &nbnext, &work[1], info); + if (*info != 0) { + *ilst = here; + return 0; + } + here += 2; + } else { + +/* 2 by 2 Block did split */ + + slaexc_(&wantq, n, &t[t_offset], ldt, &q[q_offset], ldq, & + here, &c__1, &c__1, &work[1], info); + i__1 = here + 1; + slaexc_(&wantq, n, &t[t_offset], ldt, &q[q_offset], ldq, & + i__1, &c__1, &c__1, &work[1], info); + here += 2; + } + } + } + if (here < *ilst) { + goto L10; + } + + } else { + + here = *ifst; +L20: + +/* Swap block with next one above */ + + if (nbf == 1 || nbf == 2) { + +/* Current block either 1 by 1 or 2 by 2 */ + + nbnext = 1; + if (here >= 3) { + if (t[here - 1 + (here - 2) * t_dim1] != 0.f) { + nbnext = 2; + } + } + i__1 = here - nbnext; + slaexc_(&wantq, n, &t[t_offset], ldt, &q[q_offset], ldq, &i__1, & + nbnext, &nbf, &work[1], info); + if (*info != 0) { + *ilst = here; + return 0; + } + here -= nbnext; + +/* Test if 2 by 2 block breaks into two 1 by 1 blocks */ + + if (nbf == 2) { + if (t[here + 1 + here * t_dim1] == 0.f) { + nbf = 3; + } + } + + } else { + +/* Current block consists of two 1 by 1 blocks each of which */ +/* must be swapped individually */ + + nbnext = 1; + if (here >= 3) { + if (t[here - 1 + (here - 2) * t_dim1] != 0.f) { + nbnext = 2; + } + } + i__1 = here - nbnext; + slaexc_(&wantq, n, &t[t_offset], ldt, &q[q_offset], ldq, &i__1, & + nbnext, &c__1, &work[1], info); + if (*info != 0) { + *ilst = here; + return 0; + } + if (nbnext == 1) { + +/* Swap two 1 by 1 blocks, no problems possible */ + + slaexc_(&wantq, n, &t[t_offset], ldt, &q[q_offset], ldq, & + here, &nbnext, &c__1, &work[1], info); + --here; + } else { + +/* Recompute NBNEXT in case 2 by 2 split */ + + if (t[here + (here - 1) * t_dim1] == 0.f) { + nbnext = 1; + } + if (nbnext == 2) { + +/* 2 by 2 Block did not split */ + + i__1 = here - 1; + slaexc_(&wantq, n, &t[t_offset], ldt, &q[q_offset], ldq, & + i__1, &c__2, &c__1, &work[1], info); + if (*info != 0) { + *ilst = here; + return 0; + } + here += -2; + } else { + +/* 2 by 2 Block did split */ + + slaexc_(&wantq, n, &t[t_offset], ldt, &q[q_offset], ldq, & + here, &c__1, &c__1, &work[1], info); + i__1 = here - 1; + slaexc_(&wantq, n, &t[t_offset], ldt, &q[q_offset], ldq, & + i__1, &c__1, &c__1, &work[1], info); + here += -2; + } + } + } + if (here > *ilst) { + goto L20; + } + } + *ilst = here; + + return 0; + +/* End of STREXC */ + +} /* strexc_ */ |