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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/ztfsm.c | |
parent | 01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff) | |
download | ydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz |
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/ztfsm.c')
-rw-r--r-- | contrib/libs/clapack/ztfsm.c | 1024 |
1 files changed, 1024 insertions, 0 deletions
diff --git a/contrib/libs/clapack/ztfsm.c b/contrib/libs/clapack/ztfsm.c new file mode 100644 index 0000000000..37d4bf9097 --- /dev/null +++ b/contrib/libs/clapack/ztfsm.c @@ -0,0 +1,1024 @@ +/* ztfsm.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 doublecomplex c_b1 = {1.,0.}; + +/* Subroutine */ int ztfsm_(char *transr, char *side, char *uplo, char *trans, + char *diag, integer *m, integer *n, doublecomplex *alpha, + doublecomplex *a, doublecomplex *b, integer *ldb) +{ + /* System generated locals */ + integer b_dim1, b_offset, i__1, i__2, i__3; + doublecomplex z__1; + + /* Local variables */ + integer i__, j, k, m1, m2, n1, n2, info; + logical normaltransr, lside; + extern logical lsame_(char *, char *); + extern /* Subroutine */ int zgemm_(char *, char *, integer *, integer *, + integer *, doublecomplex *, doublecomplex *, integer *, + doublecomplex *, integer *, doublecomplex *, doublecomplex *, + integer *); + logical lower; + extern /* Subroutine */ int ztrsm_(char *, char *, char *, char *, + integer *, integer *, doublecomplex *, doublecomplex *, integer *, + doublecomplex *, integer *), + xerbla_(char *, integer *); + logical misodd, nisodd, notrans; + + +/* -- LAPACK routine (version 3.2.1) -- */ + +/* -- Contributed by Fred Gustavson of the IBM Watson Research Center -- */ +/* -- April 2009 -- */ + +/* -- LAPACK is a software package provided by Univ. of Tennessee, -- */ +/* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */ + +/* .. */ +/* .. Scalar Arguments .. */ +/* .. */ +/* .. Array Arguments .. */ +/* .. */ + +/* Purpose */ +/* ======= */ + +/* Level 3 BLAS like routine for A in RFP Format. */ + +/* ZTFSM solves the matrix equation */ + +/* op( A )*X = alpha*B or X*op( A ) = alpha*B */ + +/* where alpha is a scalar, X and B are m by n matrices, A is a unit, or */ +/* non-unit, upper or lower triangular matrix and op( A ) is one of */ + +/* op( A ) = A or op( A ) = conjg( A' ). */ + +/* A is in Rectangular Full Packed (RFP) Format. */ + +/* The matrix X is overwritten on B. */ + +/* Arguments */ +/* ========== */ + +/* TRANSR - (input) CHARACTER */ +/* = 'N': The Normal Form of RFP A is stored; */ +/* = 'C': The Conjugate-transpose Form of RFP A is stored. */ + +/* SIDE - (input) CHARACTER */ +/* On entry, SIDE specifies whether op( A ) appears on the left */ +/* or right of X as follows: */ + +/* SIDE = 'L' or 'l' op( A )*X = alpha*B. */ + +/* SIDE = 'R' or 'r' X*op( A ) = alpha*B. */ + +/* Unchanged on exit. */ + +/* UPLO - (input) CHARACTER */ +/* On entry, UPLO specifies whether the RFP matrix A came from */ +/* an upper or lower triangular matrix as follows: */ +/* UPLO = 'U' or 'u' RFP A came from an upper triangular matrix */ +/* UPLO = 'L' or 'l' RFP A came from a lower triangular matrix */ + +/* Unchanged on exit. */ + +/* TRANS - (input) CHARACTER */ +/* On entry, TRANS specifies the form of op( A ) to be used */ +/* in the matrix multiplication as follows: */ + +/* TRANS = 'N' or 'n' op( A ) = A. */ + +/* TRANS = 'C' or 'c' op( A ) = conjg( A' ). */ + +/* Unchanged on exit. */ + +/* DIAG - (input) CHARACTER */ +/* On entry, DIAG specifies whether or not RFP A is unit */ +/* triangular as follows: */ + +/* DIAG = 'U' or 'u' A is assumed to be unit triangular. */ + +/* DIAG = 'N' or 'n' A is not assumed to be unit */ +/* triangular. */ + +/* Unchanged on exit. */ + +/* M - (input) INTEGER. */ +/* On entry, M specifies the number of rows of B. M must be at */ +/* least zero. */ +/* Unchanged on exit. */ + +/* N - (input) INTEGER. */ +/* On entry, N specifies the number of columns of B. N must be */ +/* at least zero. */ +/* Unchanged on exit. */ + +/* ALPHA - (input) COMPLEX*16. */ +/* On entry, ALPHA specifies the scalar alpha. When alpha is */ +/* zero then A is not referenced and B need not be set before */ +/* entry. */ +/* Unchanged on exit. */ + +/* A - (input) COMPLEX*16 array, dimension ( N*(N+1)/2 ); */ +/* NT = N*(N+1)/2. On entry, the matrix A in RFP Format. */ +/* RFP Format is described by TRANSR, UPLO and N as follows: */ +/* If TRANSR='N' then RFP A is (0:N,0:K-1) when N is even; */ +/* K=N/2. RFP A is (0:N-1,0:K) when N is odd; K=N/2. If */ +/* TRANSR = 'C' then RFP is the Conjugate-transpose of RFP A as */ +/* defined when TRANSR = 'N'. The contents of RFP A are defined */ +/* by UPLO as follows: If UPLO = 'U' the RFP A contains the NT */ +/* elements of upper packed A either in normal or */ +/* conjugate-transpose Format. If UPLO = 'L' the RFP A contains */ +/* the NT elements of lower packed A either in normal or */ +/* conjugate-transpose Format. The LDA of RFP A is (N+1)/2 when */ +/* TRANSR = 'C'. When TRANSR is 'N' the LDA is N+1 when N is */ +/* even and is N when is odd. */ +/* See the Note below for more details. Unchanged on exit. */ + +/* B - (input/ouptut) COMPLEX*16 array, DIMENSION ( LDB, N) */ +/* Before entry, the leading m by n part of the array B must */ +/* contain the right-hand side matrix B, and on exit is */ +/* overwritten by the solution matrix X. */ + +/* LDB - (input) INTEGER. */ +/* On entry, LDB specifies the first dimension of B as declared */ +/* in the calling (sub) program. LDB must be at least */ +/* max( 1, m ). */ +/* Unchanged on exit. */ + +/* Further Details */ +/* =============== */ + +/* We first consider Standard Packed Format when N is even. */ +/* We give an example where N = 6. */ + +/* AP is Upper AP is Lower */ + +/* 00 01 02 03 04 05 00 */ +/* 11 12 13 14 15 10 11 */ +/* 22 23 24 25 20 21 22 */ +/* 33 34 35 30 31 32 33 */ +/* 44 45 40 41 42 43 44 */ +/* 55 50 51 52 53 54 55 */ + + +/* Let TRANSR = 'N'. RFP holds AP as follows: */ +/* For UPLO = 'U' the upper trapezoid A(0:5,0:2) consists of the last */ +/* three columns of AP upper. The lower triangle A(4:6,0:2) consists of */ +/* conjugate-transpose of the first three columns of AP upper. */ +/* For UPLO = 'L' the lower trapezoid A(1:6,0:2) consists of the first */ +/* three columns of AP lower. The upper triangle A(0:2,0:2) consists of */ +/* conjugate-transpose of the last three columns of AP lower. */ +/* To denote conjugate we place -- above the element. This covers the */ +/* case N even and TRANSR = 'N'. */ + +/* RFP A RFP A */ + +/* -- -- -- */ +/* 03 04 05 33 43 53 */ +/* -- -- */ +/* 13 14 15 00 44 54 */ +/* -- */ +/* 23 24 25 10 11 55 */ + +/* 33 34 35 20 21 22 */ +/* -- */ +/* 00 44 45 30 31 32 */ +/* -- -- */ +/* 01 11 55 40 41 42 */ +/* -- -- -- */ +/* 02 12 22 50 51 52 */ + +/* Now let TRANSR = 'C'. RFP A in both UPLO cases is just the conjugate- */ +/* transpose of RFP A above. One therefore gets: */ + + +/* RFP A RFP A */ + +/* -- -- -- -- -- -- -- -- -- -- */ +/* 03 13 23 33 00 01 02 33 00 10 20 30 40 50 */ +/* -- -- -- -- -- -- -- -- -- -- */ +/* 04 14 24 34 44 11 12 43 44 11 21 31 41 51 */ +/* -- -- -- -- -- -- -- -- -- -- */ +/* 05 15 25 35 45 55 22 53 54 55 22 32 42 52 */ + + +/* We next consider Standard Packed Format when N is odd. */ +/* We give an example where N = 5. */ + +/* AP is Upper AP is Lower */ + +/* 00 01 02 03 04 00 */ +/* 11 12 13 14 10 11 */ +/* 22 23 24 20 21 22 */ +/* 33 34 30 31 32 33 */ +/* 44 40 41 42 43 44 */ + + +/* Let TRANSR = 'N'. RFP holds AP as follows: */ +/* For UPLO = 'U' the upper trapezoid A(0:4,0:2) consists of the last */ +/* three columns of AP upper. The lower triangle A(3:4,0:1) consists of */ +/* conjugate-transpose of the first two columns of AP upper. */ +/* For UPLO = 'L' the lower trapezoid A(0:4,0:2) consists of the first */ +/* three columns of AP lower. The upper triangle A(0:1,1:2) consists of */ +/* conjugate-transpose of the last two columns of AP lower. */ +/* To denote conjugate we place -- above the element. This covers the */ +/* case N odd and TRANSR = 'N'. */ + +/* RFP A RFP A */ + +/* -- -- */ +/* 02 03 04 00 33 43 */ +/* -- */ +/* 12 13 14 10 11 44 */ + +/* 22 23 24 20 21 22 */ +/* -- */ +/* 00 33 34 30 31 32 */ +/* -- -- */ +/* 01 11 44 40 41 42 */ + +/* Now let TRANSR = 'C'. RFP A in both UPLO cases is just the conjugate- */ +/* transpose of RFP A above. One therefore gets: */ + + +/* RFP A RFP A */ + +/* -- -- -- -- -- -- -- -- -- */ +/* 02 12 22 00 01 00 10 20 30 40 50 */ +/* -- -- -- -- -- -- -- -- -- */ +/* 03 13 23 33 11 33 11 21 31 41 51 */ +/* -- -- -- -- -- -- -- -- -- */ +/* 04 14 24 34 44 43 44 22 32 42 52 */ + +/* .. */ +/* .. Parameters .. */ +/* .. */ +/* .. Local Scalars .. */ +/* .. */ +/* .. External Functions .. */ +/* .. */ +/* .. External Subroutines .. */ +/* .. */ +/* .. Intrinsic Functions .. */ +/* .. */ +/* .. Executable Statements .. */ + +/* Test the input parameters. */ + + /* Parameter adjustments */ + b_dim1 = *ldb - 1 - 0 + 1; + b_offset = 0 + b_dim1 * 0; + b -= b_offset; + + /* Function Body */ + info = 0; + normaltransr = lsame_(transr, "N"); + lside = lsame_(side, "L"); + lower = lsame_(uplo, "L"); + notrans = lsame_(trans, "N"); + if (! normaltransr && ! lsame_(transr, "C")) { + info = -1; + } else if (! lside && ! lsame_(side, "R")) { + info = -2; + } else if (! lower && ! lsame_(uplo, "U")) { + info = -3; + } else if (! notrans && ! lsame_(trans, "C")) { + info = -4; + } else if (! lsame_(diag, "N") && ! lsame_(diag, + "U")) { + info = -5; + } else if (*m < 0) { + info = -6; + } else if (*n < 0) { + info = -7; + } else if (*ldb < max(1,*m)) { + info = -11; + } + if (info != 0) { + i__1 = -info; + xerbla_("ZTFSM ", &i__1); + return 0; + } + +/* Quick return when ( (N.EQ.0).OR.(M.EQ.0) ) */ + + if (*m == 0 || *n == 0) { + return 0; + } + +/* Quick return when ALPHA.EQ.(0D+0,0D+0) */ + + if (alpha->r == 0. && alpha->i == 0.) { + i__1 = *n - 1; + for (j = 0; j <= i__1; ++j) { + i__2 = *m - 1; + for (i__ = 0; i__ <= i__2; ++i__) { + i__3 = i__ + j * b_dim1; + b[i__3].r = 0., b[i__3].i = 0.; +/* L10: */ + } +/* L20: */ + } + return 0; + } + + if (lside) { + +/* SIDE = 'L' */ + +/* A is M-by-M. */ +/* If M is odd, set NISODD = .TRUE., and M1 and M2. */ +/* If M is even, NISODD = .FALSE., and M. */ + + if (*m % 2 == 0) { + misodd = FALSE_; + k = *m / 2; + } else { + misodd = TRUE_; + if (lower) { + m2 = *m / 2; + m1 = *m - m2; + } else { + m1 = *m / 2; + m2 = *m - m1; + } + } + + if (misodd) { + +/* SIDE = 'L' and N is odd */ + + if (normaltransr) { + +/* SIDE = 'L', N is odd, and TRANSR = 'N' */ + + if (lower) { + +/* SIDE ='L', N is odd, TRANSR = 'N', and UPLO = 'L' */ + + if (notrans) { + +/* SIDE ='L', N is odd, TRANSR = 'N', UPLO = 'L', and */ +/* TRANS = 'N' */ + + if (*m == 1) { + ztrsm_("L", "L", "N", diag, &m1, n, alpha, a, m, & + b[b_offset], ldb); + } else { + ztrsm_("L", "L", "N", diag, &m1, n, alpha, a, m, & + b[b_offset], ldb); + z__1.r = -1., z__1.i = -0.; + zgemm_("N", "N", &m2, n, &m1, &z__1, &a[m1], m, & + b[b_offset], ldb, alpha, &b[m1], ldb); + ztrsm_("L", "U", "C", diag, &m2, n, &c_b1, &a[*m], + m, &b[m1], ldb); + } + + } else { + +/* SIDE ='L', N is odd, TRANSR = 'N', UPLO = 'L', and */ +/* TRANS = 'C' */ + + if (*m == 1) { + ztrsm_("L", "L", "C", diag, &m1, n, alpha, a, m, & + b[b_offset], ldb); + } else { + ztrsm_("L", "U", "N", diag, &m2, n, alpha, &a[*m], + m, &b[m1], ldb); + z__1.r = -1., z__1.i = -0.; + zgemm_("C", "N", &m1, n, &m2, &z__1, &a[m1], m, & + b[m1], ldb, alpha, &b[b_offset], ldb); + ztrsm_("L", "L", "C", diag, &m1, n, &c_b1, a, m, & + b[b_offset], ldb); + } + + } + + } else { + +/* SIDE ='L', N is odd, TRANSR = 'N', and UPLO = 'U' */ + + if (! notrans) { + +/* SIDE ='L', N is odd, TRANSR = 'N', UPLO = 'U', and */ +/* TRANS = 'N' */ + + ztrsm_("L", "L", "N", diag, &m1, n, alpha, &a[m2], m, + &b[b_offset], ldb); + z__1.r = -1., z__1.i = -0.; + zgemm_("C", "N", &m2, n, &m1, &z__1, a, m, &b[ + b_offset], ldb, alpha, &b[m1], ldb); + ztrsm_("L", "U", "C", diag, &m2, n, &c_b1, &a[m1], m, + &b[m1], ldb); + + } else { + +/* SIDE ='L', N is odd, TRANSR = 'N', UPLO = 'U', and */ +/* TRANS = 'C' */ + + ztrsm_("L", "U", "N", diag, &m2, n, alpha, &a[m1], m, + &b[m1], ldb); + z__1.r = -1., z__1.i = -0.; + zgemm_("N", "N", &m1, n, &m2, &z__1, a, m, &b[m1], + ldb, alpha, &b[b_offset], ldb); + ztrsm_("L", "L", "C", diag, &m1, n, &c_b1, &a[m2], m, + &b[b_offset], ldb); + + } + + } + + } else { + +/* SIDE = 'L', N is odd, and TRANSR = 'C' */ + + if (lower) { + +/* SIDE ='L', N is odd, TRANSR = 'C', and UPLO = 'L' */ + + if (notrans) { + +/* SIDE ='L', N is odd, TRANSR = 'C', UPLO = 'L', and */ +/* TRANS = 'N' */ + + if (*m == 1) { + ztrsm_("L", "U", "C", diag, &m1, n, alpha, a, &m1, + &b[b_offset], ldb); + } else { + ztrsm_("L", "U", "C", diag, &m1, n, alpha, a, &m1, + &b[b_offset], ldb); + z__1.r = -1., z__1.i = -0.; + zgemm_("C", "N", &m2, n, &m1, &z__1, &a[m1 * m1], + &m1, &b[b_offset], ldb, alpha, &b[m1], + ldb); + ztrsm_("L", "L", "N", diag, &m2, n, &c_b1, &a[1], + &m1, &b[m1], ldb); + } + + } else { + +/* SIDE ='L', N is odd, TRANSR = 'C', UPLO = 'L', and */ +/* TRANS = 'C' */ + + if (*m == 1) { + ztrsm_("L", "U", "N", diag, &m1, n, alpha, a, &m1, + &b[b_offset], ldb); + } else { + ztrsm_("L", "L", "C", diag, &m2, n, alpha, &a[1], + &m1, &b[m1], ldb); + z__1.r = -1., z__1.i = -0.; + zgemm_("N", "N", &m1, n, &m2, &z__1, &a[m1 * m1], + &m1, &b[m1], ldb, alpha, &b[b_offset], + ldb); + ztrsm_("L", "U", "N", diag, &m1, n, &c_b1, a, &m1, + &b[b_offset], ldb); + } + + } + + } else { + +/* SIDE ='L', N is odd, TRANSR = 'C', and UPLO = 'U' */ + + if (! notrans) { + +/* SIDE ='L', N is odd, TRANSR = 'C', UPLO = 'U', and */ +/* TRANS = 'N' */ + + ztrsm_("L", "U", "C", diag, &m1, n, alpha, &a[m2 * m2] +, &m2, &b[b_offset], ldb); + z__1.r = -1., z__1.i = -0.; + zgemm_("N", "N", &m2, n, &m1, &z__1, a, &m2, &b[ + b_offset], ldb, alpha, &b[m1], ldb); + ztrsm_("L", "L", "N", diag, &m2, n, &c_b1, &a[m1 * m2] +, &m2, &b[m1], ldb); + + } else { + +/* SIDE ='L', N is odd, TRANSR = 'C', UPLO = 'U', and */ +/* TRANS = 'C' */ + + ztrsm_("L", "L", "C", diag, &m2, n, alpha, &a[m1 * m2] +, &m2, &b[m1], ldb); + z__1.r = -1., z__1.i = -0.; + zgemm_("C", "N", &m1, n, &m2, &z__1, a, &m2, &b[m1], + ldb, alpha, &b[b_offset], ldb); + ztrsm_("L", "U", "N", diag, &m1, n, &c_b1, &a[m2 * m2] +, &m2, &b[b_offset], ldb); + + } + + } + + } + + } else { + +/* SIDE = 'L' and N is even */ + + if (normaltransr) { + +/* SIDE = 'L', N is even, and TRANSR = 'N' */ + + if (lower) { + +/* SIDE ='L', N is even, TRANSR = 'N', and UPLO = 'L' */ + + if (notrans) { + +/* SIDE ='L', N is even, TRANSR = 'N', UPLO = 'L', */ +/* and TRANS = 'N' */ + + i__1 = *m + 1; + ztrsm_("L", "L", "N", diag, &k, n, alpha, &a[1], & + i__1, &b[b_offset], ldb); + z__1.r = -1., z__1.i = -0.; + i__1 = *m + 1; + zgemm_("N", "N", &k, n, &k, &z__1, &a[k + 1], &i__1, & + b[b_offset], ldb, alpha, &b[k], ldb); + i__1 = *m + 1; + ztrsm_("L", "U", "C", diag, &k, n, &c_b1, a, &i__1, & + b[k], ldb); + + } else { + +/* SIDE ='L', N is even, TRANSR = 'N', UPLO = 'L', */ +/* and TRANS = 'C' */ + + i__1 = *m + 1; + ztrsm_("L", "U", "N", diag, &k, n, alpha, a, &i__1, & + b[k], ldb); + z__1.r = -1., z__1.i = -0.; + i__1 = *m + 1; + zgemm_("C", "N", &k, n, &k, &z__1, &a[k + 1], &i__1, & + b[k], ldb, alpha, &b[b_offset], ldb); + i__1 = *m + 1; + ztrsm_("L", "L", "C", diag, &k, n, &c_b1, &a[1], & + i__1, &b[b_offset], ldb); + + } + + } else { + +/* SIDE ='L', N is even, TRANSR = 'N', and UPLO = 'U' */ + + if (! notrans) { + +/* SIDE ='L', N is even, TRANSR = 'N', UPLO = 'U', */ +/* and TRANS = 'N' */ + + i__1 = *m + 1; + ztrsm_("L", "L", "N", diag, &k, n, alpha, &a[k + 1], & + i__1, &b[b_offset], ldb); + z__1.r = -1., z__1.i = -0.; + i__1 = *m + 1; + zgemm_("C", "N", &k, n, &k, &z__1, a, &i__1, &b[ + b_offset], ldb, alpha, &b[k], ldb); + i__1 = *m + 1; + ztrsm_("L", "U", "C", diag, &k, n, &c_b1, &a[k], & + i__1, &b[k], ldb); + + } else { + +/* SIDE ='L', N is even, TRANSR = 'N', UPLO = 'U', */ +/* and TRANS = 'C' */ + i__1 = *m + 1; + ztrsm_("L", "U", "N", diag, &k, n, alpha, &a[k], & + i__1, &b[k], ldb); + z__1.r = -1., z__1.i = -0.; + i__1 = *m + 1; + zgemm_("N", "N", &k, n, &k, &z__1, a, &i__1, &b[k], + ldb, alpha, &b[b_offset], ldb); + i__1 = *m + 1; + ztrsm_("L", "L", "C", diag, &k, n, &c_b1, &a[k + 1], & + i__1, &b[b_offset], ldb); + + } + + } + + } else { + +/* SIDE = 'L', N is even, and TRANSR = 'C' */ + + if (lower) { + +/* SIDE ='L', N is even, TRANSR = 'C', and UPLO = 'L' */ + + if (notrans) { + +/* SIDE ='L', N is even, TRANSR = 'C', UPLO = 'L', */ +/* and TRANS = 'N' */ + + ztrsm_("L", "U", "C", diag, &k, n, alpha, &a[k], &k, & + b[b_offset], ldb); + z__1.r = -1., z__1.i = -0.; + zgemm_("C", "N", &k, n, &k, &z__1, &a[k * (k + 1)], & + k, &b[b_offset], ldb, alpha, &b[k], ldb); + ztrsm_("L", "L", "N", diag, &k, n, &c_b1, a, &k, &b[k] +, ldb); + + } else { + +/* SIDE ='L', N is even, TRANSR = 'C', UPLO = 'L', */ +/* and TRANS = 'C' */ + + ztrsm_("L", "L", "C", diag, &k, n, alpha, a, &k, &b[k] +, ldb); + z__1.r = -1., z__1.i = -0.; + zgemm_("N", "N", &k, n, &k, &z__1, &a[k * (k + 1)], & + k, &b[k], ldb, alpha, &b[b_offset], ldb); + ztrsm_("L", "U", "N", diag, &k, n, &c_b1, &a[k], &k, & + b[b_offset], ldb); + + } + + } else { + +/* SIDE ='L', N is even, TRANSR = 'C', and UPLO = 'U' */ + + if (! notrans) { + +/* SIDE ='L', N is even, TRANSR = 'C', UPLO = 'U', */ +/* and TRANS = 'N' */ + + ztrsm_("L", "U", "C", diag, &k, n, alpha, &a[k * (k + + 1)], &k, &b[b_offset], ldb); + z__1.r = -1., z__1.i = -0.; + zgemm_("N", "N", &k, n, &k, &z__1, a, &k, &b[b_offset] +, ldb, alpha, &b[k], ldb); + ztrsm_("L", "L", "N", diag, &k, n, &c_b1, &a[k * k], & + k, &b[k], ldb); + + } else { + +/* SIDE ='L', N is even, TRANSR = 'C', UPLO = 'U', */ +/* and TRANS = 'C' */ + + ztrsm_("L", "L", "C", diag, &k, n, alpha, &a[k * k], & + k, &b[k], ldb); + z__1.r = -1., z__1.i = -0.; + zgemm_("C", "N", &k, n, &k, &z__1, a, &k, &b[k], ldb, + alpha, &b[b_offset], ldb); + ztrsm_("L", "U", "N", diag, &k, n, &c_b1, &a[k * (k + + 1)], &k, &b[b_offset], ldb); + + } + + } + + } + + } + + } else { + +/* SIDE = 'R' */ + +/* A is N-by-N. */ +/* If N is odd, set NISODD = .TRUE., and N1 and N2. */ +/* If N is even, NISODD = .FALSE., and K. */ + + if (*n % 2 == 0) { + nisodd = FALSE_; + k = *n / 2; + } else { + nisodd = TRUE_; + if (lower) { + n2 = *n / 2; + n1 = *n - n2; + } else { + n1 = *n / 2; + n2 = *n - n1; + } + } + + if (nisodd) { + +/* SIDE = 'R' and N is odd */ + + if (normaltransr) { + +/* SIDE = 'R', N is odd, and TRANSR = 'N' */ + + if (lower) { + +/* SIDE ='R', N is odd, TRANSR = 'N', and UPLO = 'L' */ + + if (notrans) { + +/* SIDE ='R', N is odd, TRANSR = 'N', UPLO = 'L', and */ +/* TRANS = 'N' */ + + ztrsm_("R", "U", "C", diag, m, &n2, alpha, &a[*n], n, + &b[n1 * b_dim1], ldb); + z__1.r = -1., z__1.i = -0.; + zgemm_("N", "N", m, &n1, &n2, &z__1, &b[n1 * b_dim1], + ldb, &a[n1], n, alpha, b, ldb); + ztrsm_("R", "L", "N", diag, m, &n1, &c_b1, a, n, b, + ldb); + + } else { + +/* SIDE ='R', N is odd, TRANSR = 'N', UPLO = 'L', and */ +/* TRANS = 'C' */ + + ztrsm_("R", "L", "C", diag, m, &n1, alpha, a, n, b, + ldb); + z__1.r = -1., z__1.i = -0.; + zgemm_("N", "C", m, &n2, &n1, &z__1, b, ldb, &a[n1], + n, alpha, &b[n1 * b_dim1], ldb); + ztrsm_("R", "U", "N", diag, m, &n2, &c_b1, &a[*n], n, + &b[n1 * b_dim1], ldb); + + } + + } else { + +/* SIDE ='R', N is odd, TRANSR = 'N', and UPLO = 'U' */ + + if (notrans) { + +/* SIDE ='R', N is odd, TRANSR = 'N', UPLO = 'U', and */ +/* TRANS = 'N' */ + + ztrsm_("R", "L", "C", diag, m, &n1, alpha, &a[n2], n, + b, ldb); + z__1.r = -1., z__1.i = -0.; + zgemm_("N", "N", m, &n2, &n1, &z__1, b, ldb, a, n, + alpha, &b[n1 * b_dim1], ldb); + ztrsm_("R", "U", "N", diag, m, &n2, &c_b1, &a[n1], n, + &b[n1 * b_dim1], ldb); + + } else { + +/* SIDE ='R', N is odd, TRANSR = 'N', UPLO = 'U', and */ +/* TRANS = 'C' */ + + ztrsm_("R", "U", "C", diag, m, &n2, alpha, &a[n1], n, + &b[n1 * b_dim1], ldb); + z__1.r = -1., z__1.i = -0.; + zgemm_("N", "C", m, &n1, &n2, &z__1, &b[n1 * b_dim1], + ldb, a, n, alpha, b, ldb); + ztrsm_("R", "L", "N", diag, m, &n1, &c_b1, &a[n2], n, + b, ldb); + + } + + } + + } else { + +/* SIDE = 'R', N is odd, and TRANSR = 'C' */ + + if (lower) { + +/* SIDE ='R', N is odd, TRANSR = 'C', and UPLO = 'L' */ + + if (notrans) { + +/* SIDE ='R', N is odd, TRANSR = 'C', UPLO = 'L', and */ +/* TRANS = 'N' */ + + ztrsm_("R", "L", "N", diag, m, &n2, alpha, &a[1], &n1, + &b[n1 * b_dim1], ldb); + z__1.r = -1., z__1.i = -0.; + zgemm_("N", "C", m, &n1, &n2, &z__1, &b[n1 * b_dim1], + ldb, &a[n1 * n1], &n1, alpha, b, ldb); + ztrsm_("R", "U", "C", diag, m, &n1, &c_b1, a, &n1, b, + ldb); + + } else { + +/* SIDE ='R', N is odd, TRANSR = 'C', UPLO = 'L', and */ +/* TRANS = 'C' */ + + ztrsm_("R", "U", "N", diag, m, &n1, alpha, a, &n1, b, + ldb); + z__1.r = -1., z__1.i = -0.; + zgemm_("N", "N", m, &n2, &n1, &z__1, b, ldb, &a[n1 * + n1], &n1, alpha, &b[n1 * b_dim1], ldb); + ztrsm_("R", "L", "C", diag, m, &n2, &c_b1, &a[1], &n1, + &b[n1 * b_dim1], ldb); + + } + + } else { + +/* SIDE ='R', N is odd, TRANSR = 'C', and UPLO = 'U' */ + + if (notrans) { + +/* SIDE ='R', N is odd, TRANSR = 'C', UPLO = 'U', and */ +/* TRANS = 'N' */ + + ztrsm_("R", "U", "N", diag, m, &n1, alpha, &a[n2 * n2] +, &n2, b, ldb); + z__1.r = -1., z__1.i = -0.; + zgemm_("N", "C", m, &n2, &n1, &z__1, b, ldb, a, &n2, + alpha, &b[n1 * b_dim1], ldb); + ztrsm_("R", "L", "C", diag, m, &n2, &c_b1, &a[n1 * n2] +, &n2, &b[n1 * b_dim1], ldb); + + } else { + +/* SIDE ='R', N is odd, TRANSR = 'C', UPLO = 'U', and */ +/* TRANS = 'C' */ + + ztrsm_("R", "L", "N", diag, m, &n2, alpha, &a[n1 * n2] +, &n2, &b[n1 * b_dim1], ldb); + z__1.r = -1., z__1.i = -0.; + zgemm_("N", "N", m, &n1, &n2, &z__1, &b[n1 * b_dim1], + ldb, a, &n2, alpha, b, ldb); + ztrsm_("R", "U", "C", diag, m, &n1, &c_b1, &a[n2 * n2] +, &n2, b, ldb); + + } + + } + + } + + } else { + +/* SIDE = 'R' and N is even */ + + if (normaltransr) { + +/* SIDE = 'R', N is even, and TRANSR = 'N' */ + + if (lower) { + +/* SIDE ='R', N is even, TRANSR = 'N', and UPLO = 'L' */ + + if (notrans) { + +/* SIDE ='R', N is even, TRANSR = 'N', UPLO = 'L', */ +/* and TRANS = 'N' */ + + i__1 = *n + 1; + ztrsm_("R", "U", "C", diag, m, &k, alpha, a, &i__1, & + b[k * b_dim1], ldb); + z__1.r = -1., z__1.i = -0.; + i__1 = *n + 1; + zgemm_("N", "N", m, &k, &k, &z__1, &b[k * b_dim1], + ldb, &a[k + 1], &i__1, alpha, b, ldb); + i__1 = *n + 1; + ztrsm_("R", "L", "N", diag, m, &k, &c_b1, &a[1], & + i__1, b, ldb); + + } else { + +/* SIDE ='R', N is even, TRANSR = 'N', UPLO = 'L', */ +/* and TRANS = 'C' */ + + i__1 = *n + 1; + ztrsm_("R", "L", "C", diag, m, &k, alpha, &a[1], & + i__1, b, ldb); + z__1.r = -1., z__1.i = -0.; + i__1 = *n + 1; + zgemm_("N", "C", m, &k, &k, &z__1, b, ldb, &a[k + 1], + &i__1, alpha, &b[k * b_dim1], ldb); + i__1 = *n + 1; + ztrsm_("R", "U", "N", diag, m, &k, &c_b1, a, &i__1, & + b[k * b_dim1], ldb); + + } + + } else { + +/* SIDE ='R', N is even, TRANSR = 'N', and UPLO = 'U' */ + + if (notrans) { + +/* SIDE ='R', N is even, TRANSR = 'N', UPLO = 'U', */ +/* and TRANS = 'N' */ + + i__1 = *n + 1; + ztrsm_("R", "L", "C", diag, m, &k, alpha, &a[k + 1], & + i__1, b, ldb); + z__1.r = -1., z__1.i = -0.; + i__1 = *n + 1; + zgemm_("N", "N", m, &k, &k, &z__1, b, ldb, a, &i__1, + alpha, &b[k * b_dim1], ldb); + i__1 = *n + 1; + ztrsm_("R", "U", "N", diag, m, &k, &c_b1, &a[k], & + i__1, &b[k * b_dim1], ldb); + + } else { + +/* SIDE ='R', N is even, TRANSR = 'N', UPLO = 'U', */ +/* and TRANS = 'C' */ + + i__1 = *n + 1; + ztrsm_("R", "U", "C", diag, m, &k, alpha, &a[k], & + i__1, &b[k * b_dim1], ldb); + z__1.r = -1., z__1.i = -0.; + i__1 = *n + 1; + zgemm_("N", "C", m, &k, &k, &z__1, &b[k * b_dim1], + ldb, a, &i__1, alpha, b, ldb); + i__1 = *n + 1; + ztrsm_("R", "L", "N", diag, m, &k, &c_b1, &a[k + 1], & + i__1, b, ldb); + + } + + } + + } else { + +/* SIDE = 'R', N is even, and TRANSR = 'C' */ + + if (lower) { + +/* SIDE ='R', N is even, TRANSR = 'C', and UPLO = 'L' */ + + if (notrans) { + +/* SIDE ='R', N is even, TRANSR = 'C', UPLO = 'L', */ +/* and TRANS = 'N' */ + + ztrsm_("R", "L", "N", diag, m, &k, alpha, a, &k, &b[k + * b_dim1], ldb); + z__1.r = -1., z__1.i = -0.; + zgemm_("N", "C", m, &k, &k, &z__1, &b[k * b_dim1], + ldb, &a[(k + 1) * k], &k, alpha, b, ldb); + ztrsm_("R", "U", "C", diag, m, &k, &c_b1, &a[k], &k, + b, ldb); + + } else { + +/* SIDE ='R', N is even, TRANSR = 'C', UPLO = 'L', */ +/* and TRANS = 'C' */ + + ztrsm_("R", "U", "N", diag, m, &k, alpha, &a[k], &k, + b, ldb); + z__1.r = -1., z__1.i = -0.; + zgemm_("N", "N", m, &k, &k, &z__1, b, ldb, &a[(k + 1) + * k], &k, alpha, &b[k * b_dim1], ldb); + ztrsm_("R", "L", "C", diag, m, &k, &c_b1, a, &k, &b[k + * b_dim1], ldb); + + } + + } else { + +/* SIDE ='R', N is even, TRANSR = 'C', and UPLO = 'U' */ + + if (notrans) { + +/* SIDE ='R', N is even, TRANSR = 'C', UPLO = 'U', */ +/* and TRANS = 'N' */ + + ztrsm_("R", "U", "N", diag, m, &k, alpha, &a[(k + 1) * + k], &k, b, ldb); + z__1.r = -1., z__1.i = -0.; + zgemm_("N", "C", m, &k, &k, &z__1, b, ldb, a, &k, + alpha, &b[k * b_dim1], ldb); + ztrsm_("R", "L", "C", diag, m, &k, &c_b1, &a[k * k], & + k, &b[k * b_dim1], ldb); + + } else { + +/* SIDE ='R', N is even, TRANSR = 'C', UPLO = 'U', */ +/* and TRANS = 'C' */ + + ztrsm_("R", "L", "N", diag, m, &k, alpha, &a[k * k], & + k, &b[k * b_dim1], ldb); + z__1.r = -1., z__1.i = -0.; + zgemm_("N", "N", m, &k, &k, &z__1, &b[k * b_dim1], + ldb, a, &k, alpha, b, ldb); + ztrsm_("R", "U", "C", diag, m, &k, &c_b1, &a[(k + 1) * + k], &k, b, ldb); + + } + + } + + } + + } + } + + return 0; + +/* End of ZTFSM */ + +} /* ztfsm_ */ |