/* Subroutine */ int zerrql_(char *path, integer *nunit) { /* System generated locals */ integer i__1; doublereal d__1, d__2; doublecomplex z__1; /* Local variables */ doublecomplex a[4] /* was [2][2] */, b[2]; integer i__, j; doublecomplex w[2], x[2], af[4] /* was [2][2] */; integer info; /* Fortran I/O blocks */ static cilist io___1 = { 0, 0, 0, 0, 0 }; /* -- LAPACK test routine (version 3.1) -- */ /* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ /* November 2006 */ /* .. Scalar Arguments .. */ /* .. */ /* Purpose */ /* ======= */ /* ZERRQL tests the error exits for the COMPLEX*16 routines */ /* that use the QL decomposition of a general matrix. */ /* Arguments */ /* ========= */ /* PATH (input) CHARACTER*3 */ /* The LAPACK path name for the routines to be tested. */ /* NUNIT (input) INTEGER */ /* The unit number for output. */ /* ===================================================================== */ /* .. Parameters .. */ /* .. */ /* .. Local Scalars .. */ /* .. */ /* .. Local Arrays .. */ /* .. */ /* .. External Subroutines .. */ /* .. */ /* .. Scalars in Common .. */ /* .. */ /* .. Common blocks .. */ /* .. */ /* .. Intrinsic Functions .. */ /* .. */ /* .. Executable Statements .. */ infoc_1.nout = *nunit; io___1.ciunit = infoc_1.nout; s_wsle(&io___1); e_wsle(); /* Set the variables to innocuous values. */ for (j = 1; j <= 2; ++j) { for (i__ = 1; i__ <= 2; ++i__) { i__1 = i__ + (j << 1) - 3; d__1 = 1. / (doublereal) (i__ + j); d__2 = -1. / (doublereal) (i__ + j); z__1.r = d__1, z__1.i = d__2; a[i__1].r = z__1.r, a[i__1].i = z__1.i; i__1 = i__ + (j << 1) - 3; d__1 = 1. / (doublereal) (i__ + j); d__2 = -1. / (doublereal) (i__ + j); z__1.r = d__1, z__1.i = d__2; af[i__1].r = z__1.r, af[i__1].i = z__1.i; /* L10: */ } i__1 = j - 1; b[i__1].r = 0., b[i__1].i = 0.; i__1 = j - 1; w[i__1].r = 0., w[i__1].i = 0.; i__1 = j - 1; x[i__1].r = 0., x[i__1].i = 0.; /* L20: */ } infoc_1.ok = TRUE_; /* Error exits for QL factorization */ /* ZGEQLF */ s_copy(srnamc_1.srnamt, "ZGEQLF", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; zgeqlf_(&c_n1, &c__0, a, &c__1, b, w, &c__1, &info); chkxer_("ZGEQLF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; zgeqlf_(&c__0, &c_n1, a, &c__1, b, w, &c__1, &info); chkxer_("ZGEQLF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 4; zgeqlf_(&c__2, &c__1, a, &c__1, b, w, &c__1, &info); chkxer_("ZGEQLF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 7; zgeqlf_(&c__1, &c__2, a, &c__1, b, w, &c__1, &info); chkxer_("ZGEQLF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); /* ZGEQL2 */ s_copy(srnamc_1.srnamt, "ZGEQL2", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; zgeql2_(&c_n1, &c__0, a, &c__1, b, w, &info); chkxer_("ZGEQL2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; zgeql2_(&c__0, &c_n1, a, &c__1, b, w, &info); chkxer_("ZGEQL2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 4; zgeql2_(&c__2, &c__1, a, &c__1, b, w, &info); chkxer_("ZGEQL2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); /* ZGEQLS */ s_copy(srnamc_1.srnamt, "ZGEQLS", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; zgeqls_(&c_n1, &c__0, &c__0, a, &c__1, x, b, &c__1, w, &c__1, &info); chkxer_("ZGEQLS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; zgeqls_(&c__0, &c_n1, &c__0, a, &c__1, x, b, &c__1, w, &c__1, &info); chkxer_("ZGEQLS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; zgeqls_(&c__1, &c__2, &c__0, a, &c__1, x, b, &c__1, w, &c__1, &info); chkxer_("ZGEQLS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 3; zgeqls_(&c__0, &c__0, &c_n1, a, &c__1, x, b, &c__1, w, &c__1, &info); chkxer_("ZGEQLS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 5; zgeqls_(&c__2, &c__1, &c__0, a, &c__1, x, b, &c__2, w, &c__1, &info); chkxer_("ZGEQLS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 8; zgeqls_(&c__2, &c__1, &c__0, a, &c__2, x, b, &c__1, w, &c__1, &info); chkxer_("ZGEQLS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 10; zgeqls_(&c__1, &c__1, &c__2, a, &c__1, x, b, &c__1, w, &c__1, &info); chkxer_("ZGEQLS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); /* ZUNGQL */ s_copy(srnamc_1.srnamt, "ZUNGQL", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; zungql_(&c_n1, &c__0, &c__0, a, &c__1, x, w, &c__1, &info); chkxer_("ZUNGQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; zungql_(&c__0, &c_n1, &c__0, a, &c__1, x, w, &c__1, &info); chkxer_("ZUNGQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; zungql_(&c__1, &c__2, &c__0, a, &c__1, x, w, &c__2, &info); chkxer_("ZUNGQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 3; zungql_(&c__0, &c__0, &c_n1, a, &c__1, x, w, &c__1, &info); chkxer_("ZUNGQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 3; zungql_(&c__1, &c__1, &c__2, a, &c__1, x, w, &c__1, &info); chkxer_("ZUNGQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 5; zungql_(&c__2, &c__1, &c__0, a, &c__1, x, w, &c__1, &info); chkxer_("ZUNGQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 8; zungql_(&c__2, &c__2, &c__0, a, &c__2, x, w, &c__1, &info); chkxer_("ZUNGQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); /* ZUNG2L */ s_copy(srnamc_1.srnamt, "ZUNG2L", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; zung2l_(&c_n1, &c__0, &c__0, a, &c__1, x, w, &info); chkxer_("ZUNG2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; zung2l_(&c__0, &c_n1, &c__0, a, &c__1, x, w, &info); chkxer_("ZUNG2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; zung2l_(&c__1, &c__2, &c__0, a, &c__1, x, w, &info); chkxer_("ZUNG2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 3; zung2l_(&c__0, &c__0, &c_n1, a, &c__1, x, w, &info); chkxer_("ZUNG2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 3; zung2l_(&c__2, &c__1, &c__2, a, &c__2, x, w, &info); chkxer_("ZUNG2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 5; zung2l_(&c__2, &c__1, &c__0, a, &c__1, x, w, &info); chkxer_("ZUNG2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); /* ZUNMQL */ s_copy(srnamc_1.srnamt, "ZUNMQL", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; zunmql_("/", "N", &c__0, &c__0, &c__0, a, &c__1, x, af, &c__1, w, &c__1, & info); chkxer_("ZUNMQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; zunmql_("L", "/", &c__0, &c__0, &c__0, a, &c__1, x, af, &c__1, w, &c__1, & info); chkxer_("ZUNMQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 3; zunmql_("L", "N", &c_n1, &c__0, &c__0, a, &c__1, x, af, &c__1, w, &c__1, & info); chkxer_("ZUNMQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 4; zunmql_("L", "N", &c__0, &c_n1, &c__0, a, &c__1, x, af, &c__1, w, &c__1, & info); chkxer_("ZUNMQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 5; zunmql_("L", "N", &c__0, &c__0, &c_n1, a, &c__1, x, af, &c__1, w, &c__1, & info); chkxer_("ZUNMQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 5; zunmql_("L", "N", &c__0, &c__1, &c__1, a, &c__1, x, af, &c__1, w, &c__1, & info); chkxer_("ZUNMQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 5; zunmql_("R", "N", &c__1, &c__0, &c__1, a, &c__1, x, af, &c__1, w, &c__1, & info); chkxer_("ZUNMQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 7; zunmql_("L", "N", &c__2, &c__1, &c__0, a, &c__1, x, af, &c__2, w, &c__1, & info); chkxer_("ZUNMQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 7; zunmql_("R", "N", &c__1, &c__2, &c__0, a, &c__1, x, af, &c__1, w, &c__1, & info); chkxer_("ZUNMQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 10; zunmql_("L", "N", &c__2, &c__1, &c__0, a, &c__2, x, af, &c__1, w, &c__1, & info); chkxer_("ZUNMQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 12; zunmql_("L", "N", &c__1, &c__2, &c__0, a, &c__1, x, af, &c__1, w, &c__1, & info); chkxer_("ZUNMQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 12; zunmql_("R", "N", &c__2, &c__1, &c__0, a, &c__1, x, af, &c__2, w, &c__1, & info); chkxer_("ZUNMQL", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); /* ZUNM2L */ s_copy(srnamc_1.srnamt, "ZUNM2L", (ftnlen)32, (ftnlen)6); infoc_1.infot = 1; zunm2l_("/", "N", &c__0, &c__0, &c__0, a, &c__1, x, af, &c__1, w, &info); chkxer_("ZUNM2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 2; zunm2l_("L", "/", &c__0, &c__0, &c__0, a, &c__1, x, af, &c__1, w, &info); chkxer_("ZUNM2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 3; zunm2l_("L", "N", &c_n1, &c__0, &c__0, a, &c__1, x, af, &c__1, w, &info); chkxer_("ZUNM2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 4; zunm2l_("L", "N", &c__0, &c_n1, &c__0, a, &c__1, x, af, &c__1, w, &info); chkxer_("ZUNM2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 5; zunm2l_("L", "N", &c__0, &c__0, &c_n1, a, &c__1, x, af, &c__1, w, &info); chkxer_("ZUNM2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 5; zunm2l_("L", "N", &c__0, &c__1, &c__1, a, &c__1, x, af, &c__1, w, &info); chkxer_("ZUNM2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 5; zunm2l_("R", "N", &c__1, &c__0, &c__1, a, &c__1, x, af, &c__1, w, &info); chkxer_("ZUNM2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 7; zunm2l_("L", "N", &c__2, &c__1, &c__0, a, &c__1, x, af, &c__2, w, &info); chkxer_("ZUNM2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 7; zunm2l_("R", "N", &c__1, &c__2, &c__0, a, &c__1, x, af, &c__1, w, &info); chkxer_("ZUNM2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); infoc_1.infot = 10; zunm2l_("L", "N", &c__2, &c__1, &c__0, a, &c__2, x, af, &c__1, w, &info); chkxer_("ZUNM2L", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, & infoc_1.ok); /* Print a summary line. */ alaesm_(path, &infoc_1.ok, &infoc_1.nout); return 0; /* End of ZERRQL */ } /* zerrql_ */
/* Subroutine */ int zgeqlf_(integer *m, integer *n, doublecomplex *a, integer *lda, doublecomplex *tau, doublecomplex *work, integer *lwork, integer *info) { /* System generated locals */ integer a_dim1, a_offset, i__1, i__2, i__3, i__4; /* Local variables */ integer i__, k, ib, nb, ki, kk, mu, nu, nx, iws, nbmin, iinfo; extern /* Subroutine */ int zgeql2_(integer *, integer *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *), xerbla_( char *, integer *); extern integer ilaenv_(integer *, char *, char *, integer *, integer *, integer *, integer *); extern /* Subroutine */ int zlarfb_(char *, char *, char *, char *, integer *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *, integer *); integer ldwork; extern /* Subroutine */ int zlarft_(char *, char *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *); integer 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 */ /* ======= */ /* ZGEQLF computes a QL factorization of a complex M-by-N matrix A: */ /* A = Q * L. */ /* Arguments */ /* ========= */ /* M (input) INTEGER */ /* The number of rows of the matrix A. M >= 0. */ /* N (input) INTEGER */ /* The number of columns of the matrix A. N >= 0. */ /* A (input/output) COMPLEX*16 array, dimension (LDA,N) */ /* On entry, the M-by-N matrix A. */ /* On exit, */ /* if m >= n, the lower triangle of the subarray */ /* A(m-n+1:m,1:n) contains the N-by-N lower triangular matrix L; */ /* if m <= n, the elements on and below the (n-m)-th */ /* superdiagonal contain the M-by-N lower trapezoidal matrix L; */ /* the remaining elements, with the array TAU, represent the */ /* unitary matrix Q as a product of elementary reflectors */ /* (see Further Details). */ /* LDA (input) INTEGER */ /* The leading dimension of the array A. LDA >= max(1,M). */ /* TAU (output) COMPLEX*16 array, dimension (min(M,N)) */ /* The scalar factors of the elementary reflectors (see Further */ /* Details). */ /* WORK (workspace/output) COMPLEX*16 array, dimension (MAX(1,LWORK)) */ /* On exit, if INFO = 0, WORK(1) returns the optimal LWORK. */ /* LWORK (input) INTEGER */ /* The dimension of the array WORK. LWORK >= max(1,N). */ /* For optimum performance LWORK >= 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 matrix Q is represented as a product of elementary reflectors */ /* Q = H(k) . . . H(2) H(1), where k = min(m,n). */ /* Each H(i) has the form */ /* H(i) = I - tau * v * v' */ /* where tau is a complex scalar, and v is a complex vector with */ /* v(m-k+i+1:m) = 0 and v(m-k+i) = 1; v(1:m-k+i-1) is stored on exit in */ /* A(1:m-k+i-1,n-k+i), and tau in TAU(i). */ /* ===================================================================== */ /* .. Local Scalars .. */ /* .. */ /* .. External Subroutines .. */ /* .. */ /* .. Intrinsic Functions .. */ /* .. */ /* .. External Functions .. */ /* .. */ /* .. Executable Statements .. */ /* Test the input arguments */ /* Parameter adjustments */ a_dim1 = *lda; a_offset = 1 + a_dim1; a -= a_offset; --tau; --work; /* Function Body */ *info = 0; lquery = *lwork == -1; if (*m < 0) { *info = -1; } else if (*n < 0) { *info = -2; } else if (*lda < max(1,*m)) { *info = -4; } if (*info == 0) { k = min(*m,*n); if (k == 0) { lwkopt = 1; } else { nb = ilaenv_(&c__1, "ZGEQLF", " ", m, n, &c_n1, &c_n1); lwkopt = *n * nb; } work[1].r = (doublereal) lwkopt, work[1].i = 0.; if (*lwork < max(1,*n) && ! lquery) { *info = -7; } } if (*info != 0) { i__1 = -(*info); xerbla_("ZGEQLF", &i__1); return 0; } else if (lquery) { return 0; } /* Quick return if possible */ if (k == 0) { return 0; } nbmin = 2; nx = 1; iws = *n; if (nb > 1 && nb < k) { /* Determine when to cross over from blocked to unblocked code. */ /* Computing MAX */ i__1 = 0, i__2 = ilaenv_(&c__3, "ZGEQLF", " ", m, n, &c_n1, &c_n1); nx = max(i__1,i__2); if (nx < k) { /* Determine if workspace is large enough for blocked code. */ ldwork = *n; iws = ldwork * nb; if (*lwork < iws) { /* Not enough workspace to use optimal NB: reduce NB and */ /* determine the minimum value of NB. */ nb = *lwork / ldwork; /* Computing MAX */ i__1 = 2, i__2 = ilaenv_(&c__2, "ZGEQLF", " ", m, n, &c_n1, & c_n1); nbmin = max(i__1,i__2); } } } if (nb >= nbmin && nb < k && nx < k) { /* Use blocked code initially. */ /* The last kk columns are handled by the block method. */ ki = (k - nx - 1) / nb * nb; /* Computing MIN */ i__1 = k, i__2 = ki + nb; kk = min(i__1,i__2); i__1 = k - kk + 1; i__2 = -nb; for (i__ = k - kk + ki + 1; i__2 < 0 ? i__ >= i__1 : i__ <= i__1; i__ += i__2) { /* Computing MIN */ i__3 = k - i__ + 1; ib = min(i__3,nb); /* Compute the QL factorization of the current block */ /* A(1:m-k+i+ib-1,n-k+i:n-k+i+ib-1) */ i__3 = *m - k + i__ + ib - 1; zgeql2_(&i__3, &ib, &a[(*n - k + i__) * a_dim1 + 1], lda, &tau[ i__], &work[1], &iinfo); if (*n - k + i__ > 1) { /* Form the triangular factor of the block reflector */ /* H = H(i+ib-1) . . . H(i+1) H(i) */ i__3 = *m - k + i__ + ib - 1; zlarft_("Backward", "Columnwise", &i__3, &ib, &a[(*n - k + i__) * a_dim1 + 1], lda, &tau[i__], &work[1], &ldwork); /* Apply H' to A(1:m-k+i+ib-1,1:n-k+i-1) from the left */ i__3 = *m - k + i__ + ib - 1; i__4 = *n - k + i__ - 1; zlarfb_("Left", "Conjugate transpose", "Backward", "Columnwi" "se", &i__3, &i__4, &ib, &a[(*n - k + i__) * a_dim1 + 1], lda, &work[1], &ldwork, &a[a_offset], lda, &work[ ib + 1], &ldwork); } /* L10: */ } mu = *m - k + i__ + nb - 1; nu = *n - k + i__ + nb - 1; } else { mu = *m; nu = *n; } /* Use unblocked code to factor the last or only block */ if (mu > 0 && nu > 0) { zgeql2_(&mu, &nu, &a[a_offset], lda, &tau[1], &work[1], &iinfo); } work[1].r = (doublereal) iws, work[1].i = 0.; return 0; /* End of ZGEQLF */ } /* zgeqlf_ */