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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/dspgst.c | |
parent | 01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff) | |
download | ydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz |
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/dspgst.c')
-rw-r--r-- | contrib/libs/clapack/dspgst.c | 284 |
1 files changed, 284 insertions, 0 deletions
diff --git a/contrib/libs/clapack/dspgst.c b/contrib/libs/clapack/dspgst.c new file mode 100644 index 0000000000..f42db72829 --- /dev/null +++ b/contrib/libs/clapack/dspgst.c @@ -0,0 +1,284 @@ +/* dspgst.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 doublereal c_b9 = -1.; +static doublereal c_b11 = 1.; + +/* Subroutine */ int dspgst_(integer *itype, char *uplo, integer *n, + doublereal *ap, doublereal *bp, integer *info) +{ + /* System generated locals */ + integer i__1, i__2; + doublereal d__1; + + /* Local variables */ + integer j, k, j1, k1, jj, kk; + doublereal ct, ajj; + integer j1j1; + doublereal akk; + integer k1k1; + doublereal bjj, bkk; + extern doublereal ddot_(integer *, doublereal *, integer *, doublereal *, + integer *); + extern /* Subroutine */ int dspr2_(char *, integer *, doublereal *, + doublereal *, integer *, doublereal *, integer *, doublereal *), dscal_(integer *, doublereal *, doublereal *, integer *); + extern logical lsame_(char *, char *); + extern /* Subroutine */ int daxpy_(integer *, doublereal *, doublereal *, + integer *, doublereal *, integer *), dspmv_(char *, integer *, + doublereal *, doublereal *, doublereal *, integer *, doublereal *, + doublereal *, integer *); + logical upper; + extern /* Subroutine */ int dtpmv_(char *, char *, char *, integer *, + doublereal *, doublereal *, integer *), + dtpsv_(char *, char *, char *, integer *, doublereal *, + doublereal *, 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 */ +/* ======= */ + +/* DSPGST reduces a real symmetric-definite generalized eigenproblem */ +/* to standard form, using packed storage. */ + +/* If ITYPE = 1, the problem is A*x = lambda*B*x, */ +/* and A is overwritten by inv(U**T)*A*inv(U) or inv(L)*A*inv(L**T) */ + +/* If ITYPE = 2 or 3, the problem is A*B*x = lambda*x or */ +/* B*A*x = lambda*x, and A is overwritten by U*A*U**T or L**T*A*L. */ + +/* B must have been previously factorized as U**T*U or L*L**T by DPPTRF. */ + +/* Arguments */ +/* ========= */ + +/* ITYPE (input) INTEGER */ +/* = 1: compute inv(U**T)*A*inv(U) or inv(L)*A*inv(L**T); */ +/* = 2 or 3: compute U*A*U**T or L**T*A*L. */ + +/* UPLO (input) CHARACTER*1 */ +/* = 'U': Upper triangle of A is stored and B is factored as */ +/* U**T*U; */ +/* = 'L': Lower triangle of A is stored and B is factored as */ +/* L*L**T. */ + +/* N (input) INTEGER */ +/* The order of the matrices A and B. N >= 0. */ + +/* AP (input/output) DOUBLE PRECISION array, dimension (N*(N+1)/2) */ +/* On entry, the upper or lower triangle of the symmetric 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. */ + +/* On exit, if INFO = 0, the transformed matrix, stored in the */ +/* same format as A. */ + +/* BP (input) DOUBLE PRECISION array, dimension (N*(N+1)/2) */ +/* The triangular factor from the Cholesky factorization of B, */ +/* stored in the same format as A, as returned by DPPTRF. */ + +/* INFO (output) INTEGER */ +/* = 0: successful exit */ +/* < 0: if INFO = -i, the i-th argument had an illegal value */ + +/* ===================================================================== */ + +/* .. Parameters .. */ +/* .. */ +/* .. Local Scalars .. */ +/* .. */ +/* .. External Subroutines .. */ +/* .. */ +/* .. External Functions .. */ +/* .. */ +/* .. Executable Statements .. */ + +/* Test the input parameters. */ + + /* Parameter adjustments */ + --bp; + --ap; + + /* Function Body */ + *info = 0; + upper = lsame_(uplo, "U"); + if (*itype < 1 || *itype > 3) { + *info = -1; + } else if (! upper && ! lsame_(uplo, "L")) { + *info = -2; + } else if (*n < 0) { + *info = -3; + } + if (*info != 0) { + i__1 = -(*info); + xerbla_("DSPGST", &i__1); + return 0; + } + + if (*itype == 1) { + if (upper) { + +/* Compute inv(U')*A*inv(U) */ + +/* J1 and JJ are the indices of A(1,j) and A(j,j) */ + + jj = 0; + i__1 = *n; + for (j = 1; j <= i__1; ++j) { + j1 = jj + 1; + jj += j; + +/* Compute the j-th column of the upper triangle of A */ + + bjj = bp[jj]; + dtpsv_(uplo, "Transpose", "Nonunit", &j, &bp[1], &ap[j1], & + c__1); + i__2 = j - 1; + dspmv_(uplo, &i__2, &c_b9, &ap[1], &bp[j1], &c__1, &c_b11, & + ap[j1], &c__1); + i__2 = j - 1; + d__1 = 1. / bjj; + dscal_(&i__2, &d__1, &ap[j1], &c__1); + i__2 = j - 1; + ap[jj] = (ap[jj] - ddot_(&i__2, &ap[j1], &c__1, &bp[j1], & + c__1)) / bjj; +/* L10: */ + } + } else { + +/* Compute inv(L)*A*inv(L') */ + +/* KK and K1K1 are the indices of A(k,k) and A(k+1,k+1) */ + + kk = 1; + i__1 = *n; + for (k = 1; k <= i__1; ++k) { + k1k1 = kk + *n - k + 1; + +/* Update the lower triangle of A(k:n,k:n) */ + + akk = ap[kk]; + bkk = bp[kk]; +/* Computing 2nd power */ + d__1 = bkk; + akk /= d__1 * d__1; + ap[kk] = akk; + if (k < *n) { + i__2 = *n - k; + d__1 = 1. / bkk; + dscal_(&i__2, &d__1, &ap[kk + 1], &c__1); + ct = akk * -.5; + i__2 = *n - k; + daxpy_(&i__2, &ct, &bp[kk + 1], &c__1, &ap[kk + 1], &c__1) + ; + i__2 = *n - k; + dspr2_(uplo, &i__2, &c_b9, &ap[kk + 1], &c__1, &bp[kk + 1] +, &c__1, &ap[k1k1]); + i__2 = *n - k; + daxpy_(&i__2, &ct, &bp[kk + 1], &c__1, &ap[kk + 1], &c__1) + ; + i__2 = *n - k; + dtpsv_(uplo, "No transpose", "Non-unit", &i__2, &bp[k1k1], + &ap[kk + 1], &c__1); + } + kk = k1k1; +/* L20: */ + } + } + } else { + if (upper) { + +/* Compute U*A*U' */ + +/* K1 and KK are the indices of A(1,k) and A(k,k) */ + + kk = 0; + i__1 = *n; + for (k = 1; k <= i__1; ++k) { + k1 = kk + 1; + kk += k; + +/* Update the upper triangle of A(1:k,1:k) */ + + akk = ap[kk]; + bkk = bp[kk]; + i__2 = k - 1; + dtpmv_(uplo, "No transpose", "Non-unit", &i__2, &bp[1], &ap[ + k1], &c__1); + ct = akk * .5; + i__2 = k - 1; + daxpy_(&i__2, &ct, &bp[k1], &c__1, &ap[k1], &c__1); + i__2 = k - 1; + dspr2_(uplo, &i__2, &c_b11, &ap[k1], &c__1, &bp[k1], &c__1, & + ap[1]); + i__2 = k - 1; + daxpy_(&i__2, &ct, &bp[k1], &c__1, &ap[k1], &c__1); + i__2 = k - 1; + dscal_(&i__2, &bkk, &ap[k1], &c__1); +/* Computing 2nd power */ + d__1 = bkk; + ap[kk] = akk * (d__1 * d__1); +/* L30: */ + } + } else { + +/* Compute L'*A*L */ + +/* JJ and J1J1 are the indices of A(j,j) and A(j+1,j+1) */ + + jj = 1; + i__1 = *n; + for (j = 1; j <= i__1; ++j) { + j1j1 = jj + *n - j + 1; + +/* Compute the j-th column of the lower triangle of A */ + + ajj = ap[jj]; + bjj = bp[jj]; + i__2 = *n - j; + ap[jj] = ajj * bjj + ddot_(&i__2, &ap[jj + 1], &c__1, &bp[jj + + 1], &c__1); + i__2 = *n - j; + dscal_(&i__2, &bjj, &ap[jj + 1], &c__1); + i__2 = *n - j; + dspmv_(uplo, &i__2, &c_b11, &ap[j1j1], &bp[jj + 1], &c__1, & + c_b11, &ap[jj + 1], &c__1); + i__2 = *n - j + 1; + dtpmv_(uplo, "Transpose", "Non-unit", &i__2, &bp[jj], &ap[jj], + &c__1); + jj = j1j1; +/* L40: */ + } + } + } + return 0; + +/* End of DSPGST */ + +} /* dspgst_ */ |