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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/cgebrd.c | |
parent | 01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff) | |
download | ydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz |
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/cgebrd.c')
-rw-r--r-- | contrib/libs/clapack/cgebrd.c | 348 |
1 files changed, 348 insertions, 0 deletions
diff --git a/contrib/libs/clapack/cgebrd.c b/contrib/libs/clapack/cgebrd.c new file mode 100644 index 0000000000..8e8e753612 --- /dev/null +++ b/contrib/libs/clapack/cgebrd.c @@ -0,0 +1,348 @@ +/* cgebrd.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 complex c_b1 = {1.f,0.f}; +static integer c__1 = 1; +static integer c_n1 = -1; +static integer c__3 = 3; +static integer c__2 = 2; + +/* Subroutine */ int cgebrd_(integer *m, integer *n, complex *a, integer *lda, + real *d__, real *e, complex *tauq, complex *taup, complex *work, + integer *lwork, integer *info) +{ + /* System generated locals */ + integer a_dim1, a_offset, i__1, i__2, i__3, i__4, i__5; + real r__1; + complex q__1; + + /* Local variables */ + integer i__, j, nb, nx; + real ws; + extern /* Subroutine */ int cgemm_(char *, char *, integer *, integer *, + integer *, complex *, complex *, integer *, complex *, integer *, + complex *, complex *, integer *); + integer nbmin, iinfo, minmn; + extern /* Subroutine */ int cgebd2_(integer *, integer *, complex *, + integer *, real *, real *, complex *, complex *, complex *, + integer *), clabrd_(integer *, integer *, integer *, complex *, + integer *, real *, real *, complex *, complex *, complex *, + integer *, complex *, integer *), xerbla_(char *, integer *); + extern integer ilaenv_(integer *, char *, char *, integer *, integer *, + integer *, integer *); + integer ldwrkx, ldwrky, lwkopt; + logical lquery; + + +/* -- LAPACK routine (version 3.2) -- */ +/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ +/* November 2006 */ + +/* .. Scalar Arguments .. */ +/* .. */ +/* .. Array Arguments .. */ +/* .. */ + +/* Purpose */ +/* ======= */ + +/* CGEBRD reduces a general complex M-by-N matrix A to upper or lower */ +/* bidiagonal form B by a unitary transformation: Q**H * A * P = B. */ + +/* If m >= n, B is upper bidiagonal; if m < n, B is lower bidiagonal. */ + +/* Arguments */ +/* ========= */ + +/* M (input) INTEGER */ +/* The number of rows in the matrix A. M >= 0. */ + +/* N (input) INTEGER */ +/* The number of columns in the matrix A. N >= 0. */ + +/* A (input/output) COMPLEX array, dimension (LDA,N) */ +/* On entry, the M-by-N general matrix to be reduced. */ +/* On exit, */ +/* if m >= n, the diagonal and the first superdiagonal are */ +/* overwritten with the upper bidiagonal matrix B; the */ +/* elements below the diagonal, with the array TAUQ, represent */ +/* the unitary matrix Q as a product of elementary */ +/* reflectors, and the elements above the first superdiagonal, */ +/* with the array TAUP, represent the unitary matrix P as */ +/* a product of elementary reflectors; */ +/* if m < n, the diagonal and the first subdiagonal are */ +/* overwritten with the lower bidiagonal matrix B; the */ +/* elements below the first subdiagonal, with the array TAUQ, */ +/* represent the unitary matrix Q as a product of */ +/* elementary reflectors, and the elements above the diagonal, */ +/* with the array TAUP, represent the unitary matrix P as */ +/* a product of elementary reflectors. */ +/* See Further Details. */ + +/* LDA (input) INTEGER */ +/* The leading dimension of the array A. LDA >= max(1,M). */ + +/* D (output) REAL array, dimension (min(M,N)) */ +/* The diagonal elements of the bidiagonal matrix B: */ +/* D(i) = A(i,i). */ + +/* E (output) REAL array, dimension (min(M,N)-1) */ +/* The off-diagonal elements of the bidiagonal matrix B: */ +/* if m >= n, E(i) = A(i,i+1) for i = 1,2,...,n-1; */ +/* if m < n, E(i) = A(i+1,i) for i = 1,2,...,m-1. */ + +/* TAUQ (output) COMPLEX array dimension (min(M,N)) */ +/* The scalar factors of the elementary reflectors which */ +/* represent the unitary matrix Q. See Further Details. */ + +/* TAUP (output) COMPLEX array, dimension (min(M,N)) */ +/* The scalar factors of the elementary reflectors which */ +/* represent the unitary matrix P. See Further Details. */ + +/* WORK (workspace/output) COMPLEX array, dimension (MAX(1,LWORK)) */ +/* On exit, if INFO = 0, WORK(1) returns the optimal LWORK. */ + +/* LWORK (input) INTEGER */ +/* The length of the array WORK. LWORK >= max(1,M,N). */ +/* For optimum performance LWORK >= (M+N)*NB, where NB */ +/* is the optimal blocksize. */ + +/* If LWORK = -1, then a workspace query is assumed; the routine */ +/* only calculates the optimal size of the WORK array, returns */ +/* this value as the first entry of the WORK array, and no error */ +/* message related to LWORK is issued by XERBLA. */ + +/* INFO (output) INTEGER */ +/* = 0: successful exit. */ +/* < 0: if INFO = -i, the i-th argument had an illegal value. */ + +/* Further Details */ +/* =============== */ + +/* The matrices Q and P are represented as products of elementary */ +/* reflectors: */ + +/* If m >= n, */ + +/* Q = H(1) H(2) . . . H(n) and P = G(1) G(2) . . . G(n-1) */ + +/* Each H(i) and G(i) has the form: */ + +/* H(i) = I - tauq * v * v' and G(i) = I - taup * u * u' */ + +/* where tauq and taup are complex scalars, and v and u are complex */ +/* vectors; v(1:i-1) = 0, v(i) = 1, and v(i+1:m) is stored on exit in */ +/* A(i+1:m,i); u(1:i) = 0, u(i+1) = 1, and u(i+2:n) is stored on exit in */ +/* A(i,i+2:n); tauq is stored in TAUQ(i) and taup in TAUP(i). */ + +/* If m < n, */ + +/* Q = H(1) H(2) . . . H(m-1) and P = G(1) G(2) . . . G(m) */ + +/* Each H(i) and G(i) has the form: */ + +/* H(i) = I - tauq * v * v' and G(i) = I - taup * u * u' */ + +/* where tauq and taup are complex scalars, and v and u are complex */ +/* vectors; v(1:i) = 0, v(i+1) = 1, and v(i+2:m) is stored on exit in */ +/* A(i+2:m,i); u(1:i-1) = 0, u(i) = 1, and u(i+1:n) is stored on exit in */ +/* A(i,i+1:n); tauq is stored in TAUQ(i) and taup in TAUP(i). */ + +/* The contents of A on exit are illustrated by the following examples: */ + +/* m = 6 and n = 5 (m > n): m = 5 and n = 6 (m < n): */ + +/* ( d e u1 u1 u1 ) ( d u1 u1 u1 u1 u1 ) */ +/* ( v1 d e u2 u2 ) ( e d u2 u2 u2 u2 ) */ +/* ( v1 v2 d e u3 ) ( v1 e d u3 u3 u3 ) */ +/* ( v1 v2 v3 d e ) ( v1 v2 e d u4 u4 ) */ +/* ( v1 v2 v3 v4 d ) ( v1 v2 v3 e d u5 ) */ +/* ( v1 v2 v3 v4 v5 ) */ + +/* where d and e denote diagonal and off-diagonal elements of B, vi */ +/* denotes an element of the vector defining H(i), and ui an element of */ +/* the vector defining G(i). */ + +/* ===================================================================== */ + +/* .. Parameters .. */ +/* .. */ +/* .. Local Scalars .. */ +/* .. */ +/* .. External Subroutines .. */ +/* .. */ +/* .. Intrinsic Functions .. */ +/* .. */ +/* .. External Functions .. */ +/* .. */ +/* .. Executable Statements .. */ + +/* Test the input parameters */ + + /* Parameter adjustments */ + a_dim1 = *lda; + a_offset = 1 + a_dim1; + a -= a_offset; + --d__; + --e; + --tauq; + --taup; + --work; + + /* Function Body */ + *info = 0; +/* Computing MAX */ + i__1 = 1, i__2 = ilaenv_(&c__1, "CGEBRD", " ", m, n, &c_n1, &c_n1); + nb = max(i__1,i__2); + lwkopt = (*m + *n) * nb; + r__1 = (real) lwkopt; + work[1].r = r__1, work[1].i = 0.f; + lquery = *lwork == -1; + if (*m < 0) { + *info = -1; + } else if (*n < 0) { + *info = -2; + } else if (*lda < max(1,*m)) { + *info = -4; + } else /* if(complicated condition) */ { +/* Computing MAX */ + i__1 = max(1,*m); + if (*lwork < max(i__1,*n) && ! lquery) { + *info = -10; + } + } + if (*info < 0) { + i__1 = -(*info); + xerbla_("CGEBRD", &i__1); + return 0; + } else if (lquery) { + return 0; + } + +/* Quick return if possible */ + + minmn = min(*m,*n); + if (minmn == 0) { + work[1].r = 1.f, work[1].i = 0.f; + return 0; + } + + ws = (real) max(*m,*n); + ldwrkx = *m; + ldwrky = *n; + + if (nb > 1 && nb < minmn) { + +/* Set the crossover point NX. */ + +/* Computing MAX */ + i__1 = nb, i__2 = ilaenv_(&c__3, "CGEBRD", " ", m, n, &c_n1, &c_n1); + nx = max(i__1,i__2); + +/* Determine when to switch from blocked to unblocked code. */ + + if (nx < minmn) { + ws = (real) ((*m + *n) * nb); + if ((real) (*lwork) < ws) { + +/* Not enough work space for the optimal NB, consider using */ +/* a smaller block size. */ + + nbmin = ilaenv_(&c__2, "CGEBRD", " ", m, n, &c_n1, &c_n1); + if (*lwork >= (*m + *n) * nbmin) { + nb = *lwork / (*m + *n); + } else { + nb = 1; + nx = minmn; + } + } + } + } else { + nx = minmn; + } + + i__1 = minmn - nx; + i__2 = nb; + for (i__ = 1; i__2 < 0 ? i__ >= i__1 : i__ <= i__1; i__ += i__2) { + +/* Reduce rows and columns i:i+ib-1 to bidiagonal form and return */ +/* the matrices X and Y which are needed to update the unreduced */ +/* part of the matrix */ + + i__3 = *m - i__ + 1; + i__4 = *n - i__ + 1; + clabrd_(&i__3, &i__4, &nb, &a[i__ + i__ * a_dim1], lda, &d__[i__], &e[ + i__], &tauq[i__], &taup[i__], &work[1], &ldwrkx, &work[ldwrkx + * nb + 1], &ldwrky); + +/* Update the trailing submatrix A(i+ib:m,i+ib:n), using */ +/* an update of the form A := A - V*Y' - X*U' */ + + i__3 = *m - i__ - nb + 1; + i__4 = *n - i__ - nb + 1; + q__1.r = -1.f, q__1.i = -0.f; + cgemm_("No transpose", "Conjugate transpose", &i__3, &i__4, &nb, & + q__1, &a[i__ + nb + i__ * a_dim1], lda, &work[ldwrkx * nb + + nb + 1], &ldwrky, &c_b1, &a[i__ + nb + (i__ + nb) * a_dim1], + lda); + i__3 = *m - i__ - nb + 1; + i__4 = *n - i__ - nb + 1; + q__1.r = -1.f, q__1.i = -0.f; + cgemm_("No transpose", "No transpose", &i__3, &i__4, &nb, &q__1, & + work[nb + 1], &ldwrkx, &a[i__ + (i__ + nb) * a_dim1], lda, & + c_b1, &a[i__ + nb + (i__ + nb) * a_dim1], lda); + +/* Copy diagonal and off-diagonal elements of B back into A */ + + if (*m >= *n) { + i__3 = i__ + nb - 1; + for (j = i__; j <= i__3; ++j) { + i__4 = j + j * a_dim1; + i__5 = j; + a[i__4].r = d__[i__5], a[i__4].i = 0.f; + i__4 = j + (j + 1) * a_dim1; + i__5 = j; + a[i__4].r = e[i__5], a[i__4].i = 0.f; +/* L10: */ + } + } else { + i__3 = i__ + nb - 1; + for (j = i__; j <= i__3; ++j) { + i__4 = j + j * a_dim1; + i__5 = j; + a[i__4].r = d__[i__5], a[i__4].i = 0.f; + i__4 = j + 1 + j * a_dim1; + i__5 = j; + a[i__4].r = e[i__5], a[i__4].i = 0.f; +/* L20: */ + } + } +/* L30: */ + } + +/* Use unblocked code to reduce the remainder of the matrix */ + + i__2 = *m - i__ + 1; + i__1 = *n - i__ + 1; + cgebd2_(&i__2, &i__1, &a[i__ + i__ * a_dim1], lda, &d__[i__], &e[i__], & + tauq[i__], &taup[i__], &work[1], &iinfo); + work[1].r = ws, work[1].i = 0.f; + return 0; + +/* End of CGEBRD */ + +} /* cgebrd_ */ |