[] add metering mode to CLI

1 files changed, 1106 insertions, 0 deletions

diff --git a/contrib/libs/clapack/stgsy2.c b/contrib/libs/clapack/stgsy2.c
new file mode 100644
index 0000000000..4c3cd044a5
--- /dev/null
+++ b/contrib/libs/clapack/stgsy2.c
@@ -0,0 +1,1106 @@
+/* stgsy2.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__8 = 8;
+static integer c__1 = 1;
+static real c_b27 = -1.f;
+static real c_b42 = 1.f;
+static real c_b56 = 0.f;
+
+/* Subroutine */ int stgsy2_(char *trans, integer *ijob, integer *m, integer *
+	n, real *a, integer *lda, real *b, integer *ldb, real *c__, integer *
+	ldc, real *d__, integer *ldd, real *e, integer *lde, real *f, integer 
+	*ldf, real *scale, real *rdsum, real *rdscal, integer *iwork, integer 
+	*pq, integer *info)
+{
+    /* System generated locals */
+    integer a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset, d_dim1, 
+	    d_offset, e_dim1, e_offset, f_dim1, f_offset, i__1, i__2, i__3;
+
+    /* Local variables */
+    integer i__, j, k, p, q;
+    real z__[64]	/* was [8][8] */;
+    integer ie, je, mb, nb, ii, jj, is, js;
+    real rhs[8];
+    integer isp1, jsp1;
+    extern /* Subroutine */ int sger_(integer *, integer *, real *, real *, 
+	    integer *, real *, integer *, real *, integer *);
+    integer ierr, zdim, ipiv[8], jpiv[8];
+    real alpha;
+    extern logical lsame_(char *, char *);
+    extern /* Subroutine */ int sscal_(integer *, real *, real *, integer *), 
+	    sgemm_(char *, char *, integer *, integer *, integer *, real *, 
+	    real *, integer *, real *, integer *, real *, real *, integer *), sgemv_(char *, integer *, integer *, real *, 
+	    real *, integer *, real *, integer *, real *, real *, integer *), scopy_(integer *, real *, integer *, real *, integer *), 
+	    saxpy_(integer *, real *, real *, integer *, real *, integer *), 
+	    sgesc2_(integer *, real *, integer *, real *, integer *, integer *
+, real *), sgetc2_(integer *, real *, integer *, integer *, 
+	    integer *, integer *);
+    real scaloc;
+    extern /* Subroutine */ int slatdf_(integer *, integer *, real *, integer 
+	    *, real *, real *, real *, integer *, integer *), xerbla_(char *, 
+	    integer *), slaset_(char *, integer *, integer *, real *, 
+	    real *, real *, integer *);
+    logical notran;
+
+
+/*  -- LAPACK auxiliary routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     January 2007 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  STGSY2 solves the generalized Sylvester equation: */
+
+/*              A * R - L * B = scale * C                (1) */
+/*              D * R - L * E = scale * F, */
+
+/*  using Level 1 and 2 BLAS. where R and L are unknown M-by-N matrices, */
+/*  (A, D), (B, E) and (C, F) are given matrix pairs of size M-by-M, */
+/*  N-by-N and M-by-N, respectively, with real entries. (A, D) and (B, E) */
+/*  must be in generalized Schur canonical form, i.e. A, B are upper */
+/*  quasi triangular and D, E are upper triangular. The solution (R, L) */
+/*  overwrites (C, F). 0 <= SCALE <= 1 is an output scaling factor */
+/*  chosen to avoid overflow. */
+
+/*  In matrix notation solving equation (1) corresponds to solve */
+/*  Z*x = scale*b, where Z is defined as */
+
+/*         Z = [ kron(In, A)  -kron(B', Im) ]             (2) */
+/*             [ kron(In, D)  -kron(E', Im) ], */
+
+/*  Ik is the identity matrix of size k and X' is the transpose of X. */
+/*  kron(X, Y) is the Kronecker product between the matrices X and Y. */
+/*  In the process of solving (1), we solve a number of such systems */
+/*  where Dim(In), Dim(In) = 1 or 2. */
+
+/*  If TRANS = 'T', solve the transposed system Z'*y = scale*b for y, */
+/*  which is equivalent to solve for R and L in */
+
+/*              A' * R  + D' * L   = scale *  C           (3) */
+/*              R  * B' + L  * E'  = scale * -F */
+
+/*  This case is used to compute an estimate of Dif[(A, D), (B, E)] = */
+/*  sigma_min(Z) using reverse communicaton with SLACON. */
+
+/*  STGSY2 also (IJOB >= 1) contributes to the computation in STGSYL */
+/*  of an upper bound on the separation between to matrix pairs. Then */
+/*  the input (A, D), (B, E) are sub-pencils of the matrix pair in */
+/*  STGSYL. See STGSYL for details. */
+
+/*  Arguments */
+/*  ========= */
+
+/*  TRANS   (input) CHARACTER*1 */
+/*          = 'N', solve the generalized Sylvester equation (1). */
+/*          = 'T': solve the 'transposed' system (3). */
+
+/*  IJOB    (input) INTEGER */
+/*          Specifies what kind of functionality to be performed. */
+/*          = 0: solve (1) only. */
+/*          = 1: A contribution from this subsystem to a Frobenius */
+/*               norm-based estimate of the separation between two matrix */
+/*               pairs is computed. (look ahead strategy is used). */
+/*          = 2: A contribution from this subsystem to a Frobenius */
+/*               norm-based estimate of the separation between two matrix */
+/*               pairs is computed. (SGECON on sub-systems is used.) */
+/*          Not referenced if TRANS = 'T'. */
+
+/*  M       (input) INTEGER */
+/*          On entry, M specifies the order of A and D, and the row */
+/*          dimension of C, F, R and L. */
+
+/*  N       (input) INTEGER */
+/*          On entry, N specifies the order of B and E, and the column */
+/*          dimension of C, F, R and L. */
+
+/*  A       (input) REAL array, dimension (LDA, M) */
+/*          On entry, A contains an upper quasi triangular matrix. */
+
+/*  LDA     (input) INTEGER */
+/*          The leading dimension of the matrix A. LDA >= max(1, M). */
+
+/*  B       (input) REAL array, dimension (LDB, N) */
+/*          On entry, B contains an upper quasi triangular matrix. */
+
+/*  LDB     (input) INTEGER */
+/*          The leading dimension of the matrix B. LDB >= max(1, N). */
+
+/*  C       (input/output) REAL array, dimension (LDC, N) */
+/*          On entry, C contains the right-hand-side of the first matrix */
+/*          equation in (1). */
+/*          On exit, if IJOB = 0, C has been overwritten by the */
+/*          solution R. */
+
+/*  LDC     (input) INTEGER */
+/*          The leading dimension of the matrix C. LDC >= max(1, M). */
+
+/*  D       (input) REAL array, dimension (LDD, M) */
+/*          On entry, D contains an upper triangular matrix. */
+
+/*  LDD     (input) INTEGER */
+/*          The leading dimension of the matrix D. LDD >= max(1, M). */
+
+/*  E       (input) REAL array, dimension (LDE, N) */
+/*          On entry, E contains an upper triangular matrix. */
+
+/*  LDE     (input) INTEGER */
+/*          The leading dimension of the matrix E. LDE >= max(1, N). */
+
+/*  F       (input/output) REAL array, dimension (LDF, N) */
+/*          On entry, F contains the right-hand-side of the second matrix */
+/*          equation in (1). */
+/*          On exit, if IJOB = 0, F has been overwritten by the */
+/*          solution L. */
+
+/*  LDF     (input) INTEGER */
+/*          The leading dimension of the matrix F. LDF >= max(1, M). */
+
+/*  SCALE   (output) REAL */
+/*          On exit, 0 <= SCALE <= 1. If 0 < SCALE < 1, the solutions */
+/*          R and L (C and F on entry) will hold the solutions to a */
+/*          slightly perturbed system but the input matrices A, B, D and */
+/*          E have not been changed. If SCALE = 0, R and L will hold the */
+/*          solutions to the homogeneous system with C = F = 0. Normally, */
+/*          SCALE = 1. */
+
+/*  RDSUM   (input/output) REAL */
+/*          On entry, the sum of squares of computed contributions to */
+/*          the Dif-estimate under computation by STGSYL, where the */
+/*          scaling factor RDSCAL (see below) has been factored out. */
+/*          On exit, the corresponding sum of squares updated with the */
+/*          contributions from the current sub-system. */
+/*          If TRANS = 'T' RDSUM is not touched. */
+/*          NOTE: RDSUM only makes sense when STGSY2 is called by STGSYL. */
+
+/*  RDSCAL  (input/output) REAL */
+/*          On entry, scaling factor used to prevent overflow in RDSUM. */
+/*          On exit, RDSCAL is updated w.r.t. the current contributions */
+/*          in RDSUM. */
+/*          If TRANS = 'T', RDSCAL is not touched. */
+/*          NOTE: RDSCAL only makes sense when STGSY2 is called by */
+/*                STGSYL. */
+
+/*  IWORK   (workspace) INTEGER array, dimension (M+N+2) */
+
+/*  PQ      (output) INTEGER */
+/*          On exit, the number of subsystems (of size 2-by-2, 4-by-4 and */
+/*          8-by-8) solved by this routine. */
+
+/*  INFO    (output) INTEGER */
+/*          On exit, if INFO is set to */
+/*            =0: Successful exit */
+/*            <0: If INFO = -i, the i-th argument had an illegal value. */
+/*            >0: The matrix pairs (A, D) and (B, E) have common or very */
+/*                close eigenvalues. */
+
+/*  Further Details */
+/*  =============== */
+
+/*  Based on contributions by */
+/*     Bo Kagstrom and Peter Poromaa, Department of Computing Science, */
+/*     Umea University, S-901 87 Umea, Sweden. */
+
+/*  ===================================================================== */
+/*  Replaced various illegal calls to SCOPY by calls to SLASET. */
+/*  Sven Hammarling, 27/5/02. */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. Local Arrays .. */
+/*     .. */
+/*     .. External Functions .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+/*     Decode and test input parameters */
+
+    /* Parameter adjustments */
+    a_dim1 = *lda;
+    a_offset = 1 + a_dim1;
+    a -= a_offset;
+    b_dim1 = *ldb;
+    b_offset = 1 + b_dim1;
+    b -= b_offset;
+    c_dim1 = *ldc;
+    c_offset = 1 + c_dim1;
+    c__ -= c_offset;
+    d_dim1 = *ldd;
+    d_offset = 1 + d_dim1;
+    d__ -= d_offset;
+    e_dim1 = *lde;
+    e_offset = 1 + e_dim1;
+    e -= e_offset;
+    f_dim1 = *ldf;
+    f_offset = 1 + f_dim1;
+    f -= f_offset;
+    --iwork;
+
+    /* Function Body */
+    *info = 0;
+    ierr = 0;
+    notran = lsame_(trans, "N");
+    if (! notran && ! lsame_(trans, "T")) {
+	*info = -1;
+    } else if (notran) {
+	if (*ijob < 0 || *ijob > 2) {
+	    *info = -2;
+	}
+    }
+    if (*info == 0) {
+	if (*m <= 0) {
+	    *info = -3;
+	} else if (*n <= 0) {
+	    *info = -4;
+	} else if (*lda < max(1,*m)) {
+	    *info = -5;
+	} else if (*ldb < max(1,*n)) {
+	    *info = -8;
+	} else if (*ldc < max(1,*m)) {
+	    *info = -10;
+	} else if (*ldd < max(1,*m)) {
+	    *info = -12;
+	} else if (*lde < max(1,*n)) {
+	    *info = -14;
+	} else if (*ldf < max(1,*m)) {
+	    *info = -16;
+	}
+    }
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("STGSY2", &i__1);
+	return 0;
+    }
+
+/*     Determine block structure of A */
+
+    *pq = 0;
+    p = 0;
+    i__ = 1;
+L10:
+    if (i__ > *m) {
+	goto L20;
+    }
+    ++p;
+    iwork[p] = i__;
+    if (i__ == *m) {
+	goto L20;
+    }
+    if (a[i__ + 1 + i__ * a_dim1] != 0.f) {
+	i__ += 2;
+    } else {
+	++i__;
+    }
+    goto L10;
+L20:
+    iwork[p + 1] = *m + 1;
+
+/*     Determine block structure of B */
+
+    q = p + 1;
+    j = 1;
+L30:
+    if (j > *n) {
+	goto L40;
+    }
+    ++q;
+    iwork[q] = j;
+    if (j == *n) {
+	goto L40;
+    }
+    if (b[j + 1 + j * b_dim1] != 0.f) {
+	j += 2;
+    } else {
+	++j;
+    }
+    goto L30;
+L40:
+    iwork[q + 1] = *n + 1;
+    *pq = p * (q - p - 1);
+
+    if (notran) {
+
+/*        Solve (I, J) - subsystem */
+/*           A(I, I) * R(I, J) - L(I, J) * B(J, J) = C(I, J) */
+/*           D(I, I) * R(I, J) - L(I, J) * E(J, J) = F(I, J) */
+/*        for I = P, P - 1, ..., 1; J = 1, 2, ..., Q */
+
+	*scale = 1.f;
+	scaloc = 1.f;
+	i__1 = q;
+	for (j = p + 2; j <= i__1; ++j) {
+	    js = iwork[j];
+	    jsp1 = js + 1;
+	    je = iwork[j + 1] - 1;
+	    nb = je - js + 1;
+	    for (i__ = p; i__ >= 1; --i__) {
+
+		is = iwork[i__];
+		isp1 = is + 1;
+		ie = iwork[i__ + 1] - 1;
+		mb = ie - is + 1;
+		zdim = mb * nb << 1;
+
+		if (mb == 1 && nb == 1) {
+
+/*                 Build a 2-by-2 system Z * x = RHS */
+
+		    z__[0] = a[is + is * a_dim1];
+		    z__[1] = d__[is + is * d_dim1];
+		    z__[8] = -b[js + js * b_dim1];
+		    z__[9] = -e[js + js * e_dim1];
+
+/*                 Set up right hand side(s) */
+
+		    rhs[0] = c__[is + js * c_dim1];
+		    rhs[1] = f[is + js * f_dim1];
+
+/*                 Solve Z * x = RHS */
+
+		    sgetc2_(&zdim, z__, &c__8, ipiv, jpiv, &ierr);
+		    if (ierr > 0) {
+			*info = ierr;
+		    }
+
+		    if (*ijob == 0) {
+			sgesc2_(&zdim, z__, &c__8, rhs, ipiv, jpiv, &scaloc);
+			if (scaloc != 1.f) {
+			    i__2 = *n;
+			    for (k = 1; k <= i__2; ++k) {
+				sscal_(m, &scaloc, &c__[k * c_dim1 + 1], &
+					c__1);
+				sscal_(m, &scaloc, &f[k * f_dim1 + 1], &c__1);
+/* L50: */
+			    }
+			    *scale *= scaloc;
+			}
+		    } else {
+			slatdf_(ijob, &zdim, z__, &c__8, rhs, rdsum, rdscal, 
+				ipiv, jpiv);
+		    }
+
+/*                 Unpack solution vector(s) */
+
+		    c__[is + js * c_dim1] = rhs[0];
+		    f[is + js * f_dim1] = rhs[1];
+
+/*                 Substitute R(I, J) and L(I, J) into remaining */
+/*                 equation. */
+
+		    if (i__ > 1) {
+			alpha = -rhs[0];
+			i__2 = is - 1;
+			saxpy_(&i__2, &alpha, &a[is * a_dim1 + 1], &c__1, &
+				c__[js * c_dim1 + 1], &c__1);
+			i__2 = is - 1;
+			saxpy_(&i__2, &alpha, &d__[is * d_dim1 + 1], &c__1, &
+				f[js * f_dim1 + 1], &c__1);
+		    }
+		    if (j < q) {
+			i__2 = *n - je;
+			saxpy_(&i__2, &rhs[1], &b[js + (je + 1) * b_dim1], 
+				ldb, &c__[is + (je + 1) * c_dim1], ldc);
+			i__2 = *n - je;
+			saxpy_(&i__2, &rhs[1], &e[js + (je + 1) * e_dim1], 
+				lde, &f[is + (je + 1) * f_dim1], ldf);
+		    }
+
+		} else if (mb == 1 && nb == 2) {
+
+/*                 Build a 4-by-4 system Z * x = RHS */
+
+		    z__[0] = a[is + is * a_dim1];
+		    z__[1] = 0.f;
+		    z__[2] = d__[is + is * d_dim1];
+		    z__[3] = 0.f;
+
+		    z__[8] = 0.f;
+		    z__[9] = a[is + is * a_dim1];
+		    z__[10] = 0.f;
+		    z__[11] = d__[is + is * d_dim1];
+
+		    z__[16] = -b[js + js * b_dim1];
+		    z__[17] = -b[js + jsp1 * b_dim1];
+		    z__[18] = -e[js + js * e_dim1];
+		    z__[19] = -e[js + jsp1 * e_dim1];
+
+		    z__[24] = -b[jsp1 + js * b_dim1];
+		    z__[25] = -b[jsp1 + jsp1 * b_dim1];
+		    z__[26] = 0.f;
+		    z__[27] = -e[jsp1 + jsp1 * e_dim1];
+
+/*                 Set up right hand side(s) */
+
+		    rhs[0] = c__[is + js * c_dim1];
+		    rhs[1] = c__[is + jsp1 * c_dim1];
+		    rhs[2] = f[is + js * f_dim1];
+		    rhs[3] = f[is + jsp1 * f_dim1];
+
+/*                 Solve Z * x = RHS */
+
+		    sgetc2_(&zdim, z__, &c__8, ipiv, jpiv, &ierr);
+		    if (ierr > 0) {
+			*info = ierr;
+		    }
+
+		    if (*ijob == 0) {
+			sgesc2_(&zdim, z__, &c__8, rhs, ipiv, jpiv, &scaloc);
+			if (scaloc != 1.f) {
+			    i__2 = *n;
+			    for (k = 1; k <= i__2; ++k) {
+				sscal_(m, &scaloc, &c__[k * c_dim1 + 1], &
+					c__1);
+				sscal_(m, &scaloc, &f[k * f_dim1 + 1], &c__1);
+/* L60: */
+			    }
+			    *scale *= scaloc;
+			}
+		    } else {
+			slatdf_(ijob, &zdim, z__, &c__8, rhs, rdsum, rdscal, 
+				ipiv, jpiv);
+		    }
+
+/*                 Unpack solution vector(s) */
+
+		    c__[is + js * c_dim1] = rhs[0];
+		    c__[is + jsp1 * c_dim1] = rhs[1];
+		    f[is + js * f_dim1] = rhs[2];
+		    f[is + jsp1 * f_dim1] = rhs[3];
+
+/*                 Substitute R(I, J) and L(I, J) into remaining */
+/*                 equation. */
+
+		    if (i__ > 1) {
+			i__2 = is - 1;
+			sger_(&i__2, &nb, &c_b27, &a[is * a_dim1 + 1], &c__1, 
+				rhs, &c__1, &c__[js * c_dim1 + 1], ldc);
+			i__2 = is - 1;
+			sger_(&i__2, &nb, &c_b27, &d__[is * d_dim1 + 1], &
+				c__1, rhs, &c__1, &f[js * f_dim1 + 1], ldf);
+		    }
+		    if (j < q) {
+			i__2 = *n - je;
+			saxpy_(&i__2, &rhs[2], &b[js + (je + 1) * b_dim1], 
+				ldb, &c__[is + (je + 1) * c_dim1], ldc);
+			i__2 = *n - je;
+			saxpy_(&i__2, &rhs[2], &e[js + (je + 1) * e_dim1], 
+				lde, &f[is + (je + 1) * f_dim1], ldf);
+			i__2 = *n - je;
+			saxpy_(&i__2, &rhs[3], &b[jsp1 + (je + 1) * b_dim1], 
+				ldb, &c__[is + (je + 1) * c_dim1], ldc);
+			i__2 = *n - je;
+			saxpy_(&i__2, &rhs[3], &e[jsp1 + (je + 1) * e_dim1], 
+				lde, &f[is + (je + 1) * f_dim1], ldf);
+		    }
+
+		} else if (mb == 2 && nb == 1) {
+
+/*                 Build a 4-by-4 system Z * x = RHS */
+
+		    z__[0] = a[is + is * a_dim1];
+		    z__[1] = a[isp1 + is * a_dim1];
+		    z__[2] = d__[is + is * d_dim1];
+		    z__[3] = 0.f;
+
+		    z__[8] = a[is + isp1 * a_dim1];
+		    z__[9] = a[isp1 + isp1 * a_dim1];
+		    z__[10] = d__[is + isp1 * d_dim1];
+		    z__[11] = d__[isp1 + isp1 * d_dim1];
+
+		    z__[16] = -b[js + js * b_dim1];
+		    z__[17] = 0.f;
+		    z__[18] = -e[js + js * e_dim1];
+		    z__[19] = 0.f;
+
+		    z__[24] = 0.f;
+		    z__[25] = -b[js + js * b_dim1];
+		    z__[26] = 0.f;
+		    z__[27] = -e[js + js * e_dim1];
+
+/*                 Set up right hand side(s) */
+
+		    rhs[0] = c__[is + js * c_dim1];
+		    rhs[1] = c__[isp1 + js * c_dim1];
+		    rhs[2] = f[is + js * f_dim1];
+		    rhs[3] = f[isp1 + js * f_dim1];
+
+/*                 Solve Z * x = RHS */
+
+		    sgetc2_(&zdim, z__, &c__8, ipiv, jpiv, &ierr);
+		    if (ierr > 0) {
+			*info = ierr;
+		    }
+		    if (*ijob == 0) {
+			sgesc2_(&zdim, z__, &c__8, rhs, ipiv, jpiv, &scaloc);
+			if (scaloc != 1.f) {
+			    i__2 = *n;
+			    for (k = 1; k <= i__2; ++k) {
+				sscal_(m, &scaloc, &c__[k * c_dim1 + 1], &
+					c__1);
+				sscal_(m, &scaloc, &f[k * f_dim1 + 1], &c__1);
+/* L70: */
+			    }
+			    *scale *= scaloc;
+			}
+		    } else {
+			slatdf_(ijob, &zdim, z__, &c__8, rhs, rdsum, rdscal, 
+				ipiv, jpiv);
+		    }
+
+/*                 Unpack solution vector(s) */
+
+		    c__[is + js * c_dim1] = rhs[0];
+		    c__[isp1 + js * c_dim1] = rhs[1];
+		    f[is + js * f_dim1] = rhs[2];
+		    f[isp1 + js * f_dim1] = rhs[3];
+
+/*                 Substitute R(I, J) and L(I, J) into remaining */
+/*                 equation. */
+
+		    if (i__ > 1) {
+			i__2 = is - 1;
+			sgemv_("N", &i__2, &mb, &c_b27, &a[is * a_dim1 + 1], 
+				lda, rhs, &c__1, &c_b42, &c__[js * c_dim1 + 1]
+, &c__1);
+			i__2 = is - 1;
+			sgemv_("N", &i__2, &mb, &c_b27, &d__[is * d_dim1 + 1], 
+				 ldd, rhs, &c__1, &c_b42, &f[js * f_dim1 + 1], 
+				 &c__1);
+		    }
+		    if (j < q) {
+			i__2 = *n - je;
+			sger_(&mb, &i__2, &c_b42, &rhs[2], &c__1, &b[js + (je 
+				+ 1) * b_dim1], ldb, &c__[is + (je + 1) * 
+				c_dim1], ldc);
+			i__2 = *n - je;
+			sger_(&mb, &i__2, &c_b42, &rhs[2], &c__1, &e[js + (je 
+				+ 1) * e_dim1], lde, &f[is + (je + 1) * 
+				f_dim1], ldf);
+		    }
+
+		} else if (mb == 2 && nb == 2) {
+
+/*                 Build an 8-by-8 system Z * x = RHS */
+
+		    slaset_("F", &c__8, &c__8, &c_b56, &c_b56, z__, &c__8);
+
+		    z__[0] = a[is + is * a_dim1];
+		    z__[1] = a[isp1 + is * a_dim1];
+		    z__[4] = d__[is + is * d_dim1];
+
+		    z__[8] = a[is + isp1 * a_dim1];
+		    z__[9] = a[isp1 + isp1 * a_dim1];
+		    z__[12] = d__[is + isp1 * d_dim1];
+		    z__[13] = d__[isp1 + isp1 * d_dim1];
+
+		    z__[18] = a[is + is * a_dim1];
+		    z__[19] = a[isp1 + is * a_dim1];
+		    z__[22] = d__[is + is * d_dim1];
+
+		    z__[26] = a[is + isp1 * a_dim1];
+		    z__[27] = a[isp1 + isp1 * a_dim1];
+		    z__[30] = d__[is + isp1 * d_dim1];
+		    z__[31] = d__[isp1 + isp1 * d_dim1];
+
+		    z__[32] = -b[js + js * b_dim1];
+		    z__[34] = -b[js + jsp1 * b_dim1];
+		    z__[36] = -e[js + js * e_dim1];
+		    z__[38] = -e[js + jsp1 * e_dim1];
+
+		    z__[41] = -b[js + js * b_dim1];
+		    z__[43] = -b[js + jsp1 * b_dim1];
+		    z__[45] = -e[js + js * e_dim1];
+		    z__[47] = -e[js + jsp1 * e_dim1];
+
+		    z__[48] = -b[jsp1 + js * b_dim1];
+		    z__[50] = -b[jsp1 + jsp1 * b_dim1];
+		    z__[54] = -e[jsp1 + jsp1 * e_dim1];
+
+		    z__[57] = -b[jsp1 + js * b_dim1];
+		    z__[59] = -b[jsp1 + jsp1 * b_dim1];
+		    z__[63] = -e[jsp1 + jsp1 * e_dim1];
+
+/*                 Set up right hand side(s) */
+
+		    k = 1;
+		    ii = mb * nb + 1;
+		    i__2 = nb - 1;
+		    for (jj = 0; jj <= i__2; ++jj) {
+			scopy_(&mb, &c__[is + (js + jj) * c_dim1], &c__1, &
+				rhs[k - 1], &c__1);
+			scopy_(&mb, &f[is + (js + jj) * f_dim1], &c__1, &rhs[
+				ii - 1], &c__1);
+			k += mb;
+			ii += mb;
+/* L80: */
+		    }
+
+/*                 Solve Z * x = RHS */
+
+		    sgetc2_(&zdim, z__, &c__8, ipiv, jpiv, &ierr);
+		    if (ierr > 0) {
+			*info = ierr;
+		    }
+		    if (*ijob == 0) {
+			sgesc2_(&zdim, z__, &c__8, rhs, ipiv, jpiv, &scaloc);
+			if (scaloc != 1.f) {
+			    i__2 = *n;
+			    for (k = 1; k <= i__2; ++k) {
+				sscal_(m, &scaloc, &c__[k * c_dim1 + 1], &
+					c__1);
+				sscal_(m, &scaloc, &f[k * f_dim1 + 1], &c__1);
+/* L90: */
+			    }
+			    *scale *= scaloc;
+			}
+		    } else {
+			slatdf_(ijob, &zdim, z__, &c__8, rhs, rdsum, rdscal, 
+				ipiv, jpiv);
+		    }
+
+/*                 Unpack solution vector(s) */
+
+		    k = 1;
+		    ii = mb * nb + 1;
+		    i__2 = nb - 1;
+		    for (jj = 0; jj <= i__2; ++jj) {
+			scopy_(&mb, &rhs[k - 1], &c__1, &c__[is + (js + jj) * 
+				c_dim1], &c__1);
+			scopy_(&mb, &rhs[ii - 1], &c__1, &f[is + (js + jj) * 
+				f_dim1], &c__1);
+			k += mb;
+			ii += mb;
+/* L100: */
+		    }
+
+/*                 Substitute R(I, J) and L(I, J) into remaining */
+/*                 equation. */
+
+		    if (i__ > 1) {
+			i__2 = is - 1;
+			sgemm_("N", "N", &i__2, &nb, &mb, &c_b27, &a[is * 
+				a_dim1 + 1], lda, rhs, &mb, &c_b42, &c__[js * 
+				c_dim1 + 1], ldc);
+			i__2 = is - 1;
+			sgemm_("N", "N", &i__2, &nb, &mb, &c_b27, &d__[is * 
+				d_dim1 + 1], ldd, rhs, &mb, &c_b42, &f[js * 
+				f_dim1 + 1], ldf);
+		    }
+		    if (j < q) {
+			k = mb * nb + 1;
+			i__2 = *n - je;
+			sgemm_("N", "N", &mb, &i__2, &nb, &c_b42, &rhs[k - 1], 
+				 &mb, &b[js + (je + 1) * b_dim1], ldb, &c_b42, 
+				 &c__[is + (je + 1) * c_dim1], ldc);
+			i__2 = *n - je;
+			sgemm_("N", "N", &mb, &i__2, &nb, &c_b42, &rhs[k - 1], 
+				 &mb, &e[js + (je + 1) * e_dim1], lde, &c_b42, 
+				 &f[is + (je + 1) * f_dim1], ldf);
+		    }
+
+		}
+
+/* L110: */
+	    }
+/* L120: */
+	}
+    } else {
+
+/*        Solve (I, J) - subsystem */
+/*             A(I, I)' * R(I, J) + D(I, I)' * L(J, J)  =  C(I, J) */
+/*             R(I, I)  * B(J, J) + L(I, J)  * E(J, J)  = -F(I, J) */
+/*        for I = 1, 2, ..., P, J = Q, Q - 1, ..., 1 */
+
+	*scale = 1.f;
+	scaloc = 1.f;
+	i__1 = p;
+	for (i__ = 1; i__ <= i__1; ++i__) {
+
+	    is = iwork[i__];
+	    isp1 = is + 1;
+	    ie = iwork[i__ + 1] - 1;
+	    mb = ie - is + 1;
+	    i__2 = p + 2;
+	    for (j = q; j >= i__2; --j) {
+
+		js = iwork[j];
+		jsp1 = js + 1;
+		je = iwork[j + 1] - 1;
+		nb = je - js + 1;
+		zdim = mb * nb << 1;
+		if (mb == 1 && nb == 1) {
+
+/*                 Build a 2-by-2 system Z' * x = RHS */
+
+		    z__[0] = a[is + is * a_dim1];
+		    z__[1] = -b[js + js * b_dim1];
+		    z__[8] = d__[is + is * d_dim1];
+		    z__[9] = -e[js + js * e_dim1];
+
+/*                 Set up right hand side(s) */
+
+		    rhs[0] = c__[is + js * c_dim1];
+		    rhs[1] = f[is + js * f_dim1];
+
+/*                 Solve Z' * x = RHS */
+
+		    sgetc2_(&zdim, z__, &c__8, ipiv, jpiv, &ierr);
+		    if (ierr > 0) {
+			*info = ierr;
+		    }
+
+		    sgesc2_(&zdim, z__, &c__8, rhs, ipiv, jpiv, &scaloc);
+		    if (scaloc != 1.f) {
+			i__3 = *n;
+			for (k = 1; k <= i__3; ++k) {
+			    sscal_(m, &scaloc, &c__[k * c_dim1 + 1], &c__1);
+			    sscal_(m, &scaloc, &f[k * f_dim1 + 1], &c__1);
+/* L130: */
+			}
+			*scale *= scaloc;
+		    }
+
+/*                 Unpack solution vector(s) */
+
+		    c__[is + js * c_dim1] = rhs[0];
+		    f[is + js * f_dim1] = rhs[1];
+
+/*                 Substitute R(I, J) and L(I, J) into remaining */
+/*                 equation. */
+
+		    if (j > p + 2) {
+			alpha = rhs[0];
+			i__3 = js - 1;
+			saxpy_(&i__3, &alpha, &b[js * b_dim1 + 1], &c__1, &f[
+				is + f_dim1], ldf);
+			alpha = rhs[1];
+			i__3 = js - 1;
+			saxpy_(&i__3, &alpha, &e[js * e_dim1 + 1], &c__1, &f[
+				is + f_dim1], ldf);
+		    }
+		    if (i__ < p) {
+			alpha = -rhs[0];
+			i__3 = *m - ie;
+			saxpy_(&i__3, &alpha, &a[is + (ie + 1) * a_dim1], lda, 
+				 &c__[ie + 1 + js * c_dim1], &c__1);
+			alpha = -rhs[1];
+			i__3 = *m - ie;
+			saxpy_(&i__3, &alpha, &d__[is + (ie + 1) * d_dim1], 
+				ldd, &c__[ie + 1 + js * c_dim1], &c__1);
+		    }
+
+		} else if (mb == 1 && nb == 2) {
+
+/*                 Build a 4-by-4 system Z' * x = RHS */
+
+		    z__[0] = a[is + is * a_dim1];
+		    z__[1] = 0.f;
+		    z__[2] = -b[js + js * b_dim1];
+		    z__[3] = -b[jsp1 + js * b_dim1];
+
+		    z__[8] = 0.f;
+		    z__[9] = a[is + is * a_dim1];
+		    z__[10] = -b[js + jsp1 * b_dim1];
+		    z__[11] = -b[jsp1 + jsp1 * b_dim1];
+
+		    z__[16] = d__[is + is * d_dim1];
+		    z__[17] = 0.f;
+		    z__[18] = -e[js + js * e_dim1];
+		    z__[19] = 0.f;
+
+		    z__[24] = 0.f;
+		    z__[25] = d__[is + is * d_dim1];
+		    z__[26] = -e[js + jsp1 * e_dim1];
+		    z__[27] = -e[jsp1 + jsp1 * e_dim1];
+
+/*                 Set up right hand side(s) */
+
+		    rhs[0] = c__[is + js * c_dim1];
+		    rhs[1] = c__[is + jsp1 * c_dim1];
+		    rhs[2] = f[is + js * f_dim1];
+		    rhs[3] = f[is + jsp1 * f_dim1];
+
+/*                 Solve Z' * x = RHS */
+
+		    sgetc2_(&zdim, z__, &c__8, ipiv, jpiv, &ierr);
+		    if (ierr > 0) {
+			*info = ierr;
+		    }
+		    sgesc2_(&zdim, z__, &c__8, rhs, ipiv, jpiv, &scaloc);
+		    if (scaloc != 1.f) {
+			i__3 = *n;
+			for (k = 1; k <= i__3; ++k) {
+			    sscal_(m, &scaloc, &c__[k * c_dim1 + 1], &c__1);
+			    sscal_(m, &scaloc, &f[k * f_dim1 + 1], &c__1);
+/* L140: */
+			}
+			*scale *= scaloc;
+		    }
+
+/*                 Unpack solution vector(s) */
+
+		    c__[is + js * c_dim1] = rhs[0];
+		    c__[is + jsp1 * c_dim1] = rhs[1];
+		    f[is + js * f_dim1] = rhs[2];
+		    f[is + jsp1 * f_dim1] = rhs[3];
+
+/*                 Substitute R(I, J) and L(I, J) into remaining */
+/*                 equation. */
+
+		    if (j > p + 2) {
+			i__3 = js - 1;
+			saxpy_(&i__3, rhs, &b[js * b_dim1 + 1], &c__1, &f[is 
+				+ f_dim1], ldf);
+			i__3 = js - 1;
+			saxpy_(&i__3, &rhs[1], &b[jsp1 * b_dim1 + 1], &c__1, &
+				f[is + f_dim1], ldf);
+			i__3 = js - 1;
+			saxpy_(&i__3, &rhs[2], &e[js * e_dim1 + 1], &c__1, &f[
+				is + f_dim1], ldf);
+			i__3 = js - 1;
+			saxpy_(&i__3, &rhs[3], &e[jsp1 * e_dim1 + 1], &c__1, &
+				f[is + f_dim1], ldf);
+		    }
+		    if (i__ < p) {
+			i__3 = *m - ie;
+			sger_(&i__3, &nb, &c_b27, &a[is + (ie + 1) * a_dim1], 
+				lda, rhs, &c__1, &c__[ie + 1 + js * c_dim1], 
+				ldc);
+			i__3 = *m - ie;
+			sger_(&i__3, &nb, &c_b27, &d__[is + (ie + 1) * d_dim1]
+, ldd, &rhs[2], &c__1, &c__[ie + 1 + js * 
+				c_dim1], ldc);
+		    }
+
+		} else if (mb == 2 && nb == 1) {
+
+/*                 Build a 4-by-4 system Z' * x = RHS */
+
+		    z__[0] = a[is + is * a_dim1];
+		    z__[1] = a[is + isp1 * a_dim1];
+		    z__[2] = -b[js + js * b_dim1];
+		    z__[3] = 0.f;
+
+		    z__[8] = a[isp1 + is * a_dim1];
+		    z__[9] = a[isp1 + isp1 * a_dim1];
+		    z__[10] = 0.f;
+		    z__[11] = -b[js + js * b_dim1];
+
+		    z__[16] = d__[is + is * d_dim1];
+		    z__[17] = d__[is + isp1 * d_dim1];
+		    z__[18] = -e[js + js * e_dim1];
+		    z__[19] = 0.f;
+
+		    z__[24] = 0.f;
+		    z__[25] = d__[isp1 + isp1 * d_dim1];
+		    z__[26] = 0.f;
+		    z__[27] = -e[js + js * e_dim1];
+
+/*                 Set up right hand side(s) */
+
+		    rhs[0] = c__[is + js * c_dim1];
+		    rhs[1] = c__[isp1 + js * c_dim1];
+		    rhs[2] = f[is + js * f_dim1];
+		    rhs[3] = f[isp1 + js * f_dim1];
+
+/*                 Solve Z' * x = RHS */
+
+		    sgetc2_(&zdim, z__, &c__8, ipiv, jpiv, &ierr);
+		    if (ierr > 0) {
+			*info = ierr;
+		    }
+
+		    sgesc2_(&zdim, z__, &c__8, rhs, ipiv, jpiv, &scaloc);
+		    if (scaloc != 1.f) {
+			i__3 = *n;
+			for (k = 1; k <= i__3; ++k) {
+			    sscal_(m, &scaloc, &c__[k * c_dim1 + 1], &c__1);
+			    sscal_(m, &scaloc, &f[k * f_dim1 + 1], &c__1);
+/* L150: */
+			}
+			*scale *= scaloc;
+		    }
+
+/*                 Unpack solution vector(s) */
+
+		    c__[is + js * c_dim1] = rhs[0];
+		    c__[isp1 + js * c_dim1] = rhs[1];
+		    f[is + js * f_dim1] = rhs[2];
+		    f[isp1 + js * f_dim1] = rhs[3];
+
+/*                 Substitute R(I, J) and L(I, J) into remaining */
+/*                 equation. */
+
+		    if (j > p + 2) {
+			i__3 = js - 1;
+			sger_(&mb, &i__3, &c_b42, rhs, &c__1, &b[js * b_dim1 
+				+ 1], &c__1, &f[is + f_dim1], ldf);
+			i__3 = js - 1;
+			sger_(&mb, &i__3, &c_b42, &rhs[2], &c__1, &e[js * 
+				e_dim1 + 1], &c__1, &f[is + f_dim1], ldf);
+		    }
+		    if (i__ < p) {
+			i__3 = *m - ie;
+			sgemv_("T", &mb, &i__3, &c_b27, &a[is + (ie + 1) * 
+				a_dim1], lda, rhs, &c__1, &c_b42, &c__[ie + 1 
+				+ js * c_dim1], &c__1);
+			i__3 = *m - ie;
+			sgemv_("T", &mb, &i__3, &c_b27, &d__[is + (ie + 1) * 
+				d_dim1], ldd, &rhs[2], &c__1, &c_b42, &c__[ie 
+				+ 1 + js * c_dim1], &c__1);
+		    }
+
+		} else if (mb == 2 && nb == 2) {
+
+/*                 Build an 8-by-8 system Z' * x = RHS */
+
+		    slaset_("F", &c__8, &c__8, &c_b56, &c_b56, z__, &c__8);
+
+		    z__[0] = a[is + is * a_dim1];
+		    z__[1] = a[is + isp1 * a_dim1];
+		    z__[4] = -b[js + js * b_dim1];
+		    z__[6] = -b[jsp1 + js * b_dim1];
+
+		    z__[8] = a[isp1 + is * a_dim1];
+		    z__[9] = a[isp1 + isp1 * a_dim1];
+		    z__[13] = -b[js + js * b_dim1];
+		    z__[15] = -b[jsp1 + js * b_dim1];
+
+		    z__[18] = a[is + is * a_dim1];
+		    z__[19] = a[is + isp1 * a_dim1];
+		    z__[20] = -b[js + jsp1 * b_dim1];
+		    z__[22] = -b[jsp1 + jsp1 * b_dim1];
+
+		    z__[26] = a[isp1 + is * a_dim1];
+		    z__[27] = a[isp1 + isp1 * a_dim1];
+		    z__[29] = -b[js + jsp1 * b_dim1];
+		    z__[31] = -b[jsp1 + jsp1 * b_dim1];
+
+		    z__[32] = d__[is + is * d_dim1];
+		    z__[33] = d__[is + isp1 * d_dim1];
+		    z__[36] = -e[js + js * e_dim1];
+
+		    z__[41] = d__[isp1 + isp1 * d_dim1];
+		    z__[45] = -e[js + js * e_dim1];
+
+		    z__[50] = d__[is + is * d_dim1];
+		    z__[51] = d__[is + isp1 * d_dim1];
+		    z__[52] = -e[js + jsp1 * e_dim1];
+		    z__[54] = -e[jsp1 + jsp1 * e_dim1];
+
+		    z__[59] = d__[isp1 + isp1 * d_dim1];
+		    z__[61] = -e[js + jsp1 * e_dim1];
+		    z__[63] = -e[jsp1 + jsp1 * e_dim1];
+
+/*                 Set up right hand side(s) */
+
+		    k = 1;
+		    ii = mb * nb + 1;
+		    i__3 = nb - 1;
+		    for (jj = 0; jj <= i__3; ++jj) {
+			scopy_(&mb, &c__[is + (js + jj) * c_dim1], &c__1, &
+				rhs[k - 1], &c__1);
+			scopy_(&mb, &f[is + (js + jj) * f_dim1], &c__1, &rhs[
+				ii - 1], &c__1);
+			k += mb;
+			ii += mb;
+/* L160: */
+		    }
+
+
+/*                 Solve Z' * x = RHS */
+
+		    sgetc2_(&zdim, z__, &c__8, ipiv, jpiv, &ierr);
+		    if (ierr > 0) {
+			*info = ierr;
+		    }
+
+		    sgesc2_(&zdim, z__, &c__8, rhs, ipiv, jpiv, &scaloc);
+		    if (scaloc != 1.f) {
+			i__3 = *n;
+			for (k = 1; k <= i__3; ++k) {
+			    sscal_(m, &scaloc, &c__[k * c_dim1 + 1], &c__1);
+			    sscal_(m, &scaloc, &f[k * f_dim1 + 1], &c__1);
+/* L170: */
+			}
+			*scale *= scaloc;
+		    }
+
+/*                 Unpack solution vector(s) */
+
+		    k = 1;
+		    ii = mb * nb + 1;
+		    i__3 = nb - 1;
+		    for (jj = 0; jj <= i__3; ++jj) {
+			scopy_(&mb, &rhs[k - 1], &c__1, &c__[is + (js + jj) * 
+				c_dim1], &c__1);
+			scopy_(&mb, &rhs[ii - 1], &c__1, &f[is + (js + jj) * 
+				f_dim1], &c__1);
+			k += mb;
+			ii += mb;
+/* L180: */
+		    }
+
+/*                 Substitute R(I, J) and L(I, J) into remaining */
+/*                 equation. */
+
+		    if (j > p + 2) {
+			i__3 = js - 1;
+			sgemm_("N", "T", &mb, &i__3, &nb, &c_b42, &c__[is + 
+				js * c_dim1], ldc, &b[js * b_dim1 + 1], ldb, &
+				c_b42, &f[is + f_dim1], ldf);
+			i__3 = js - 1;
+			sgemm_("N", "T", &mb, &i__3, &nb, &c_b42, &f[is + js *
+				 f_dim1], ldf, &e[js * e_dim1 + 1], lde, &
+				c_b42, &f[is + f_dim1], ldf);
+		    }
+		    if (i__ < p) {
+			i__3 = *m - ie;
+			sgemm_("T", "N", &i__3, &nb, &mb, &c_b27, &a[is + (ie 
+				+ 1) * a_dim1], lda, &c__[is + js * c_dim1], 
+				ldc, &c_b42, &c__[ie + 1 + js * c_dim1], ldc);
+			i__3 = *m - ie;
+			sgemm_("T", "N", &i__3, &nb, &mb, &c_b27, &d__[is + (
+				ie + 1) * d_dim1], ldd, &f[is + js * f_dim1], 
+				ldf, &c_b42, &c__[ie + 1 + js * c_dim1], ldc);
+		    }
+
+		}
+
+/* L190: */
+	    }
+/* L200: */
+	}
+
+    }
+    return 0;
+
+/*     End of STGSY2 */
+
+} /* stgsy2_ */