[] add metering mode to CLI

1 files changed, 802 insertions, 0 deletions

diff --git a/contrib/libs/clapack/zhetf2.c b/contrib/libs/clapack/zhetf2.c
new file mode 100644
index 0000000000..24a5289440
--- /dev/null
+++ b/contrib/libs/clapack/zhetf2.c
@@ -0,0 +1,802 @@
+/* zhetf2.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;
+
+/* Subroutine */ int zhetf2_(char *uplo, integer *n, doublecomplex *a, 
+	integer *lda, integer *ipiv, integer *info)
+{
+    /* System generated locals */
+    integer a_dim1, a_offset, i__1, i__2, i__3, i__4, i__5, i__6;
+    doublereal d__1, d__2, d__3, d__4;
+    doublecomplex z__1, z__2, z__3, z__4, z__5, z__6;
+
+    /* Builtin functions */
+    double sqrt(doublereal), d_imag(doublecomplex *);
+    void d_cnjg(doublecomplex *, doublecomplex *);
+
+    /* Local variables */
+    doublereal d__;
+    integer i__, j, k;
+    doublecomplex t;
+    doublereal r1, d11;
+    doublecomplex d12;
+    doublereal d22;
+    doublecomplex d21;
+    integer kk, kp;
+    doublecomplex wk;
+    doublereal tt;
+    doublecomplex wkm1, wkp1;
+    integer imax, jmax;
+    extern /* Subroutine */ int zher_(char *, integer *, doublereal *, 
+	    doublecomplex *, integer *, doublecomplex *, integer *);
+    doublereal alpha;
+    extern logical lsame_(char *, char *);
+    integer kstep;
+    logical upper;
+    extern /* Subroutine */ int zswap_(integer *, doublecomplex *, integer *, 
+	    doublecomplex *, integer *);
+    extern doublereal dlapy2_(doublereal *, doublereal *);
+    doublereal absakk;
+    extern logical disnan_(doublereal *);
+    extern /* Subroutine */ int xerbla_(char *, integer *), zdscal_(
+	    integer *, doublereal *, doublecomplex *, integer *);
+    doublereal colmax;
+    extern integer izamax_(integer *, doublecomplex *, integer *);
+    doublereal rowmax;
+
+
+/*  -- LAPACK routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  ZHETF2 computes the factorization of a complex Hermitian matrix A */
+/*  using the Bunch-Kaufman diagonal pivoting method: */
+
+/*     A = U*D*U'  or  A = L*D*L' */
+
+/*  where U (or L) is a product of permutation and unit upper (lower) */
+/*  triangular matrices, U' is the conjugate transpose of U, and D is */
+/*  Hermitian and block diagonal with 1-by-1 and 2-by-2 diagonal blocks. */
+
+/*  This is the unblocked version of the algorithm, calling Level 2 BLAS. */
+
+/*  Arguments */
+/*  ========= */
+
+/*  UPLO    (input) CHARACTER*1 */
+/*          Specifies whether the upper or lower triangular part of the */
+/*          Hermitian matrix A is stored: */
+/*          = 'U':  Upper triangular */
+/*          = 'L':  Lower triangular */
+
+/*  N       (input) INTEGER */
+/*          The order of the matrix A.  N >= 0. */
+
+/*  A       (input/output) COMPLEX*16 array, dimension (LDA,N) */
+/*          On entry, the Hermitian matrix A.  If UPLO = 'U', the leading */
+/*          n-by-n upper triangular part of A contains the upper */
+/*          triangular part of the matrix A, and the strictly lower */
+/*          triangular part of A is not referenced.  If UPLO = 'L', the */
+/*          leading n-by-n lower triangular part of A contains the lower */
+/*          triangular part of the matrix A, and the strictly upper */
+/*          triangular part of A is not referenced. */
+
+/*          On exit, the block diagonal matrix D and the multipliers used */
+/*          to obtain the factor U or L (see below for further details). */
+
+/*  LDA     (input) INTEGER */
+/*          The leading dimension of the array A.  LDA >= max(1,N). */
+
+/*  IPIV    (output) INTEGER array, dimension (N) */
+/*          Details of the interchanges and the block structure of D. */
+/*          If IPIV(k) > 0, then rows and columns k and IPIV(k) were */
+/*          interchanged and D(k,k) is a 1-by-1 diagonal block. */
+/*          If UPLO = 'U' and IPIV(k) = IPIV(k-1) < 0, then rows and */
+/*          columns k-1 and -IPIV(k) were interchanged and D(k-1:k,k-1:k) */
+/*          is a 2-by-2 diagonal block.  If UPLO = 'L' and IPIV(k) = */
+/*          IPIV(k+1) < 0, then rows and columns k+1 and -IPIV(k) were */
+/*          interchanged and D(k:k+1,k:k+1) is a 2-by-2 diagonal block. */
+
+/*  INFO    (output) INTEGER */
+/*          = 0: successful exit */
+/*          < 0: if INFO = -k, the k-th argument had an illegal value */
+/*          > 0: if INFO = k, D(k,k) is exactly zero.  The factorization */
+/*               has been completed, but the block diagonal matrix D is */
+/*               exactly singular, and division by zero will occur if it */
+/*               is used to solve a system of equations. */
+
+/*  Further Details */
+/*  =============== */
+
+/*  09-29-06 - patch from */
+/*    Bobby Cheng, MathWorks */
+
+/*    Replace l.210 and l.393 */
+/*         IF( MAX( ABSAKK, COLMAX ).EQ.ZERO ) THEN */
+/*    by */
+/*         IF( (MAX( ABSAKK, COLMAX ).EQ.ZERO) .OR. DISNAN(ABSAKK) ) THEN */
+
+/*  01-01-96 - Based on modifications by */
+/*    J. Lewis, Boeing Computer Services Company */
+/*    A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA */
+
+/*  If UPLO = 'U', then A = U*D*U', where */
+/*     U = P(n)*U(n)* ... *P(k)U(k)* ..., */
+/*  i.e., U is a product of terms P(k)*U(k), where k decreases from n to */
+/*  1 in steps of 1 or 2, and D is a block diagonal matrix with 1-by-1 */
+/*  and 2-by-2 diagonal blocks D(k).  P(k) is a permutation matrix as */
+/*  defined by IPIV(k), and U(k) is a unit upper triangular matrix, such */
+/*  that if the diagonal block D(k) is of order s (s = 1 or 2), then */
+
+/*             (   I    v    0   )   k-s */
+/*     U(k) =  (   0    I    0   )   s */
+/*             (   0    0    I   )   n-k */
+/*                k-s   s   n-k */
+
+/*  If s = 1, D(k) overwrites A(k,k), and v overwrites A(1:k-1,k). */
+/*  If s = 2, the upper triangle of D(k) overwrites A(k-1,k-1), A(k-1,k), */
+/*  and A(k,k), and v overwrites A(1:k-2,k-1:k). */
+
+/*  If UPLO = 'L', then A = L*D*L', where */
+/*     L = P(1)*L(1)* ... *P(k)*L(k)* ..., */
+/*  i.e., L is a product of terms P(k)*L(k), where k increases from 1 to */
+/*  n in steps of 1 or 2, and D is a block diagonal matrix with 1-by-1 */
+/*  and 2-by-2 diagonal blocks D(k).  P(k) is a permutation matrix as */
+/*  defined by IPIV(k), and L(k) is a unit lower triangular matrix, such */
+/*  that if the diagonal block D(k) is of order s (s = 1 or 2), then */
+
+/*             (   I    0     0   )  k-1 */
+/*     L(k) =  (   0    I     0   )  s */
+/*             (   0    v     I   )  n-k-s+1 */
+/*                k-1   s  n-k-s+1 */
+
+/*  If s = 1, D(k) overwrites A(k,k), and v overwrites A(k+1:n,k). */
+/*  If s = 2, the lower triangle of D(k) overwrites A(k,k), A(k+1,k), */
+/*  and A(k+1,k+1), and v overwrites A(k+2:n,k:k+1). */
+
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. External Functions .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Statement Functions .. */
+/*     .. */
+/*     .. Statement Function definitions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+/*     Test the input parameters. */
+
+    /* Parameter adjustments */
+    a_dim1 = *lda;
+    a_offset = 1 + a_dim1;
+    a -= a_offset;
+    --ipiv;
+
+    /* Function Body */
+    *info = 0;
+    upper = lsame_(uplo, "U");
+    if (! upper && ! lsame_(uplo, "L")) {
+	*info = -1;
+    } else if (*n < 0) {
+	*info = -2;
+    } else if (*lda < max(1,*n)) {
+	*info = -4;
+    }
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("ZHETF2", &i__1);
+	return 0;
+    }
+
+/*     Initialize ALPHA for use in choosing pivot block size. */
+
+    alpha = (sqrt(17.) + 1.) / 8.;
+
+    if (upper) {
+
+/*        Factorize A as U*D*U' using the upper triangle of A */
+
+/*        K is the main loop index, decreasing from N to 1 in steps of */
+/*        1 or 2 */
+
+	k = *n;
+L10:
+
+/*        If K < 1, exit from loop */
+
+	if (k < 1) {
+	    goto L90;
+	}
+	kstep = 1;
+
+/*        Determine rows and columns to be interchanged and whether */
+/*        a 1-by-1 or 2-by-2 pivot block will be used */
+
+	i__1 = k + k * a_dim1;
+	absakk = (d__1 = a[i__1].r, abs(d__1));
+
+/*        IMAX is the row-index of the largest off-diagonal element in */
+/*        column K, and COLMAX is its absolute value */
+
+	if (k > 1) {
+	    i__1 = k - 1;
+	    imax = izamax_(&i__1, &a[k * a_dim1 + 1], &c__1);
+	    i__1 = imax + k * a_dim1;
+	    colmax = (d__1 = a[i__1].r, abs(d__1)) + (d__2 = d_imag(&a[imax + 
+		    k * a_dim1]), abs(d__2));
+	} else {
+	    colmax = 0.;
+	}
+
+	if (max(absakk,colmax) == 0. || disnan_(&absakk)) {
+
+/*           Column K is zero or contains a NaN: set INFO and continue */
+
+	    if (*info == 0) {
+		*info = k;
+	    }
+	    kp = k;
+	    i__1 = k + k * a_dim1;
+	    i__2 = k + k * a_dim1;
+	    d__1 = a[i__2].r;
+	    a[i__1].r = d__1, a[i__1].i = 0.;
+	} else {
+	    if (absakk >= alpha * colmax) {
+
+/*              no interchange, use 1-by-1 pivot block */
+
+		kp = k;
+	    } else {
+
+/*              JMAX is the column-index of the largest off-diagonal */
+/*              element in row IMAX, and ROWMAX is its absolute value */
+
+		i__1 = k - imax;
+		jmax = imax + izamax_(&i__1, &a[imax + (imax + 1) * a_dim1], 
+			lda);
+		i__1 = imax + jmax * a_dim1;
+		rowmax = (d__1 = a[i__1].r, abs(d__1)) + (d__2 = d_imag(&a[
+			imax + jmax * a_dim1]), abs(d__2));
+		if (imax > 1) {
+		    i__1 = imax - 1;
+		    jmax = izamax_(&i__1, &a[imax * a_dim1 + 1], &c__1);
+/* Computing MAX */
+		    i__1 = jmax + imax * a_dim1;
+		    d__3 = rowmax, d__4 = (d__1 = a[i__1].r, abs(d__1)) + (
+			    d__2 = d_imag(&a[jmax + imax * a_dim1]), abs(d__2)
+			    );
+		    rowmax = max(d__3,d__4);
+		}
+
+		if (absakk >= alpha * colmax * (colmax / rowmax)) {
+
+/*                 no interchange, use 1-by-1 pivot block */
+
+		    kp = k;
+		} else /* if(complicated condition) */ {
+		    i__1 = imax + imax * a_dim1;
+		    if ((d__1 = a[i__1].r, abs(d__1)) >= alpha * rowmax) {
+
+/*                 interchange rows and columns K and IMAX, use 1-by-1 */
+/*                 pivot block */
+
+			kp = imax;
+		    } else {
+
+/*                 interchange rows and columns K-1 and IMAX, use 2-by-2 */
+/*                 pivot block */
+
+			kp = imax;
+			kstep = 2;
+		    }
+		}
+	    }
+
+	    kk = k - kstep + 1;
+	    if (kp != kk) {
+
+/*              Interchange rows and columns KK and KP in the leading */
+/*              submatrix A(1:k,1:k) */
+
+		i__1 = kp - 1;
+		zswap_(&i__1, &a[kk * a_dim1 + 1], &c__1, &a[kp * a_dim1 + 1], 
+			 &c__1);
+		i__1 = kk - 1;
+		for (j = kp + 1; j <= i__1; ++j) {
+		    d_cnjg(&z__1, &a[j + kk * a_dim1]);
+		    t.r = z__1.r, t.i = z__1.i;
+		    i__2 = j + kk * a_dim1;
+		    d_cnjg(&z__1, &a[kp + j * a_dim1]);
+		    a[i__2].r = z__1.r, a[i__2].i = z__1.i;
+		    i__2 = kp + j * a_dim1;
+		    a[i__2].r = t.r, a[i__2].i = t.i;
+/* L20: */
+		}
+		i__1 = kp + kk * a_dim1;
+		d_cnjg(&z__1, &a[kp + kk * a_dim1]);
+		a[i__1].r = z__1.r, a[i__1].i = z__1.i;
+		i__1 = kk + kk * a_dim1;
+		r1 = a[i__1].r;
+		i__1 = kk + kk * a_dim1;
+		i__2 = kp + kp * a_dim1;
+		d__1 = a[i__2].r;
+		a[i__1].r = d__1, a[i__1].i = 0.;
+		i__1 = kp + kp * a_dim1;
+		a[i__1].r = r1, a[i__1].i = 0.;
+		if (kstep == 2) {
+		    i__1 = k + k * a_dim1;
+		    i__2 = k + k * a_dim1;
+		    d__1 = a[i__2].r;
+		    a[i__1].r = d__1, a[i__1].i = 0.;
+		    i__1 = k - 1 + k * a_dim1;
+		    t.r = a[i__1].r, t.i = a[i__1].i;
+		    i__1 = k - 1 + k * a_dim1;
+		    i__2 = kp + k * a_dim1;
+		    a[i__1].r = a[i__2].r, a[i__1].i = a[i__2].i;
+		    i__1 = kp + k * a_dim1;
+		    a[i__1].r = t.r, a[i__1].i = t.i;
+		}
+	    } else {
+		i__1 = k + k * a_dim1;
+		i__2 = k + k * a_dim1;
+		d__1 = a[i__2].r;
+		a[i__1].r = d__1, a[i__1].i = 0.;
+		if (kstep == 2) {
+		    i__1 = k - 1 + (k - 1) * a_dim1;
+		    i__2 = k - 1 + (k - 1) * a_dim1;
+		    d__1 = a[i__2].r;
+		    a[i__1].r = d__1, a[i__1].i = 0.;
+		}
+	    }
+
+/*           Update the leading submatrix */
+
+	    if (kstep == 1) {
+
+/*              1-by-1 pivot block D(k): column k now holds */
+
+/*              W(k) = U(k)*D(k) */
+
+/*              where U(k) is the k-th column of U */
+
+/*              Perform a rank-1 update of A(1:k-1,1:k-1) as */
+
+/*              A := A - U(k)*D(k)*U(k)' = A - W(k)*1/D(k)*W(k)' */
+
+		i__1 = k + k * a_dim1;
+		r1 = 1. / a[i__1].r;
+		i__1 = k - 1;
+		d__1 = -r1;
+		zher_(uplo, &i__1, &d__1, &a[k * a_dim1 + 1], &c__1, &a[
+			a_offset], lda);
+
+/*              Store U(k) in column k */
+
+		i__1 = k - 1;
+		zdscal_(&i__1, &r1, &a[k * a_dim1 + 1], &c__1);
+	    } else {
+
+/*              2-by-2 pivot block D(k): columns k and k-1 now hold */
+
+/*              ( W(k-1) W(k) ) = ( U(k-1) U(k) )*D(k) */
+
+/*              where U(k) and U(k-1) are the k-th and (k-1)-th columns */
+/*              of U */
+
+/*              Perform a rank-2 update of A(1:k-2,1:k-2) as */
+
+/*              A := A - ( U(k-1) U(k) )*D(k)*( U(k-1) U(k) )' */
+/*                 = A - ( W(k-1) W(k) )*inv(D(k))*( W(k-1) W(k) )' */
+
+		if (k > 2) {
+
+		    i__1 = k - 1 + k * a_dim1;
+		    d__1 = a[i__1].r;
+		    d__2 = d_imag(&a[k - 1 + k * a_dim1]);
+		    d__ = dlapy2_(&d__1, &d__2);
+		    i__1 = k - 1 + (k - 1) * a_dim1;
+		    d22 = a[i__1].r / d__;
+		    i__1 = k + k * a_dim1;
+		    d11 = a[i__1].r / d__;
+		    tt = 1. / (d11 * d22 - 1.);
+		    i__1 = k - 1 + k * a_dim1;
+		    z__1.r = a[i__1].r / d__, z__1.i = a[i__1].i / d__;
+		    d12.r = z__1.r, d12.i = z__1.i;
+		    d__ = tt / d__;
+
+		    for (j = k - 2; j >= 1; --j) {
+			i__1 = j + (k - 1) * a_dim1;
+			z__3.r = d11 * a[i__1].r, z__3.i = d11 * a[i__1].i;
+			d_cnjg(&z__5, &d12);
+			i__2 = j + k * a_dim1;
+			z__4.r = z__5.r * a[i__2].r - z__5.i * a[i__2].i, 
+				z__4.i = z__5.r * a[i__2].i + z__5.i * a[i__2]
+				.r;
+			z__2.r = z__3.r - z__4.r, z__2.i = z__3.i - z__4.i;
+			z__1.r = d__ * z__2.r, z__1.i = d__ * z__2.i;
+			wkm1.r = z__1.r, wkm1.i = z__1.i;
+			i__1 = j + k * a_dim1;
+			z__3.r = d22 * a[i__1].r, z__3.i = d22 * a[i__1].i;
+			i__2 = j + (k - 1) * a_dim1;
+			z__4.r = d12.r * a[i__2].r - d12.i * a[i__2].i, 
+				z__4.i = d12.r * a[i__2].i + d12.i * a[i__2]
+				.r;
+			z__2.r = z__3.r - z__4.r, z__2.i = z__3.i - z__4.i;
+			z__1.r = d__ * z__2.r, z__1.i = d__ * z__2.i;
+			wk.r = z__1.r, wk.i = z__1.i;
+			for (i__ = j; i__ >= 1; --i__) {
+			    i__1 = i__ + j * a_dim1;
+			    i__2 = i__ + j * a_dim1;
+			    i__3 = i__ + k * a_dim1;
+			    d_cnjg(&z__4, &wk);
+			    z__3.r = a[i__3].r * z__4.r - a[i__3].i * z__4.i, 
+				    z__3.i = a[i__3].r * z__4.i + a[i__3].i * 
+				    z__4.r;
+			    z__2.r = a[i__2].r - z__3.r, z__2.i = a[i__2].i - 
+				    z__3.i;
+			    i__4 = i__ + (k - 1) * a_dim1;
+			    d_cnjg(&z__6, &wkm1);
+			    z__5.r = a[i__4].r * z__6.r - a[i__4].i * z__6.i, 
+				    z__5.i = a[i__4].r * z__6.i + a[i__4].i * 
+				    z__6.r;
+			    z__1.r = z__2.r - z__5.r, z__1.i = z__2.i - 
+				    z__5.i;
+			    a[i__1].r = z__1.r, a[i__1].i = z__1.i;
+/* L30: */
+			}
+			i__1 = j + k * a_dim1;
+			a[i__1].r = wk.r, a[i__1].i = wk.i;
+			i__1 = j + (k - 1) * a_dim1;
+			a[i__1].r = wkm1.r, a[i__1].i = wkm1.i;
+			i__1 = j + j * a_dim1;
+			i__2 = j + j * a_dim1;
+			d__1 = a[i__2].r;
+			z__1.r = d__1, z__1.i = 0.;
+			a[i__1].r = z__1.r, a[i__1].i = z__1.i;
+/* L40: */
+		    }
+
+		}
+
+	    }
+	}
+
+/*        Store details of the interchanges in IPIV */
+
+	if (kstep == 1) {
+	    ipiv[k] = kp;
+	} else {
+	    ipiv[k] = -kp;
+	    ipiv[k - 1] = -kp;
+	}
+
+/*        Decrease K and return to the start of the main loop */
+
+	k -= kstep;
+	goto L10;
+
+    } else {
+
+/*        Factorize A as L*D*L' using the lower triangle of A */
+
+/*        K is the main loop index, increasing from 1 to N in steps of */
+/*        1 or 2 */
+
+	k = 1;
+L50:
+
+/*        If K > N, exit from loop */
+
+	if (k > *n) {
+	    goto L90;
+	}
+	kstep = 1;
+
+/*        Determine rows and columns to be interchanged and whether */
+/*        a 1-by-1 or 2-by-2 pivot block will be used */
+
+	i__1 = k + k * a_dim1;
+	absakk = (d__1 = a[i__1].r, abs(d__1));
+
+/*        IMAX is the row-index of the largest off-diagonal element in */
+/*        column K, and COLMAX is its absolute value */
+
+	if (k < *n) {
+	    i__1 = *n - k;
+	    imax = k + izamax_(&i__1, &a[k + 1 + k * a_dim1], &c__1);
+	    i__1 = imax + k * a_dim1;
+	    colmax = (d__1 = a[i__1].r, abs(d__1)) + (d__2 = d_imag(&a[imax + 
+		    k * a_dim1]), abs(d__2));
+	} else {
+	    colmax = 0.;
+	}
+
+	if (max(absakk,colmax) == 0. || disnan_(&absakk)) {
+
+/*           Column K is zero or contains a NaN: set INFO and continue */
+
+	    if (*info == 0) {
+		*info = k;
+	    }
+	    kp = k;
+	    i__1 = k + k * a_dim1;
+	    i__2 = k + k * a_dim1;
+	    d__1 = a[i__2].r;
+	    a[i__1].r = d__1, a[i__1].i = 0.;
+	} else {
+	    if (absakk >= alpha * colmax) {
+
+/*              no interchange, use 1-by-1 pivot block */
+
+		kp = k;
+	    } else {
+
+/*              JMAX is the column-index of the largest off-diagonal */
+/*              element in row IMAX, and ROWMAX is its absolute value */
+
+		i__1 = imax - k;
+		jmax = k - 1 + izamax_(&i__1, &a[imax + k * a_dim1], lda);
+		i__1 = imax + jmax * a_dim1;
+		rowmax = (d__1 = a[i__1].r, abs(d__1)) + (d__2 = d_imag(&a[
+			imax + jmax * a_dim1]), abs(d__2));
+		if (imax < *n) {
+		    i__1 = *n - imax;
+		    jmax = imax + izamax_(&i__1, &a[imax + 1 + imax * a_dim1], 
+			     &c__1);
+/* Computing MAX */
+		    i__1 = jmax + imax * a_dim1;
+		    d__3 = rowmax, d__4 = (d__1 = a[i__1].r, abs(d__1)) + (
+			    d__2 = d_imag(&a[jmax + imax * a_dim1]), abs(d__2)
+			    );
+		    rowmax = max(d__3,d__4);
+		}
+
+		if (absakk >= alpha * colmax * (colmax / rowmax)) {
+
+/*                 no interchange, use 1-by-1 pivot block */
+
+		    kp = k;
+		} else /* if(complicated condition) */ {
+		    i__1 = imax + imax * a_dim1;
+		    if ((d__1 = a[i__1].r, abs(d__1)) >= alpha * rowmax) {
+
+/*                 interchange rows and columns K and IMAX, use 1-by-1 */
+/*                 pivot block */
+
+			kp = imax;
+		    } else {
+
+/*                 interchange rows and columns K+1 and IMAX, use 2-by-2 */
+/*                 pivot block */
+
+			kp = imax;
+			kstep = 2;
+		    }
+		}
+	    }
+
+	    kk = k + kstep - 1;
+	    if (kp != kk) {
+
+/*              Interchange rows and columns KK and KP in the trailing */
+/*              submatrix A(k:n,k:n) */
+
+		if (kp < *n) {
+		    i__1 = *n - kp;
+		    zswap_(&i__1, &a[kp + 1 + kk * a_dim1], &c__1, &a[kp + 1 
+			    + kp * a_dim1], &c__1);
+		}
+		i__1 = kp - 1;
+		for (j = kk + 1; j <= i__1; ++j) {
+		    d_cnjg(&z__1, &a[j + kk * a_dim1]);
+		    t.r = z__1.r, t.i = z__1.i;
+		    i__2 = j + kk * a_dim1;
+		    d_cnjg(&z__1, &a[kp + j * a_dim1]);
+		    a[i__2].r = z__1.r, a[i__2].i = z__1.i;
+		    i__2 = kp + j * a_dim1;
+		    a[i__2].r = t.r, a[i__2].i = t.i;
+/* L60: */
+		}
+		i__1 = kp + kk * a_dim1;
+		d_cnjg(&z__1, &a[kp + kk * a_dim1]);
+		a[i__1].r = z__1.r, a[i__1].i = z__1.i;
+		i__1 = kk + kk * a_dim1;
+		r1 = a[i__1].r;
+		i__1 = kk + kk * a_dim1;
+		i__2 = kp + kp * a_dim1;
+		d__1 = a[i__2].r;
+		a[i__1].r = d__1, a[i__1].i = 0.;
+		i__1 = kp + kp * a_dim1;
+		a[i__1].r = r1, a[i__1].i = 0.;
+		if (kstep == 2) {
+		    i__1 = k + k * a_dim1;
+		    i__2 = k + k * a_dim1;
+		    d__1 = a[i__2].r;
+		    a[i__1].r = d__1, a[i__1].i = 0.;
+		    i__1 = k + 1 + k * a_dim1;
+		    t.r = a[i__1].r, t.i = a[i__1].i;
+		    i__1 = k + 1 + k * a_dim1;
+		    i__2 = kp + k * a_dim1;
+		    a[i__1].r = a[i__2].r, a[i__1].i = a[i__2].i;
+		    i__1 = kp + k * a_dim1;
+		    a[i__1].r = t.r, a[i__1].i = t.i;
+		}
+	    } else {
+		i__1 = k + k * a_dim1;
+		i__2 = k + k * a_dim1;
+		d__1 = a[i__2].r;
+		a[i__1].r = d__1, a[i__1].i = 0.;
+		if (kstep == 2) {
+		    i__1 = k + 1 + (k + 1) * a_dim1;
+		    i__2 = k + 1 + (k + 1) * a_dim1;
+		    d__1 = a[i__2].r;
+		    a[i__1].r = d__1, a[i__1].i = 0.;
+		}
+	    }
+
+/*           Update the trailing submatrix */
+
+	    if (kstep == 1) {
+
+/*              1-by-1 pivot block D(k): column k now holds */
+
+/*              W(k) = L(k)*D(k) */
+
+/*              where L(k) is the k-th column of L */
+
+		if (k < *n) {
+
+/*                 Perform a rank-1 update of A(k+1:n,k+1:n) as */
+
+/*                 A := A - L(k)*D(k)*L(k)' = A - W(k)*(1/D(k))*W(k)' */
+
+		    i__1 = k + k * a_dim1;
+		    r1 = 1. / a[i__1].r;
+		    i__1 = *n - k;
+		    d__1 = -r1;
+		    zher_(uplo, &i__1, &d__1, &a[k + 1 + k * a_dim1], &c__1, &
+			    a[k + 1 + (k + 1) * a_dim1], lda);
+
+/*                 Store L(k) in column K */
+
+		    i__1 = *n - k;
+		    zdscal_(&i__1, &r1, &a[k + 1 + k * a_dim1], &c__1);
+		}
+	    } else {
+
+/*              2-by-2 pivot block D(k) */
+
+		if (k < *n - 1) {
+
+/*                 Perform a rank-2 update of A(k+2:n,k+2:n) as */
+
+/*                 A := A - ( L(k) L(k+1) )*D(k)*( L(k) L(k+1) )' */
+/*                    = A - ( W(k) W(k+1) )*inv(D(k))*( W(k) W(k+1) )' */
+
+/*                 where L(k) and L(k+1) are the k-th and (k+1)-th */
+/*                 columns of L */
+
+		    i__1 = k + 1 + k * a_dim1;
+		    d__1 = a[i__1].r;
+		    d__2 = d_imag(&a[k + 1 + k * a_dim1]);
+		    d__ = dlapy2_(&d__1, &d__2);
+		    i__1 = k + 1 + (k + 1) * a_dim1;
+		    d11 = a[i__1].r / d__;
+		    i__1 = k + k * a_dim1;
+		    d22 = a[i__1].r / d__;
+		    tt = 1. / (d11 * d22 - 1.);
+		    i__1 = k + 1 + k * a_dim1;
+		    z__1.r = a[i__1].r / d__, z__1.i = a[i__1].i / d__;
+		    d21.r = z__1.r, d21.i = z__1.i;
+		    d__ = tt / d__;
+
+		    i__1 = *n;
+		    for (j = k + 2; j <= i__1; ++j) {
+			i__2 = j + k * a_dim1;
+			z__3.r = d11 * a[i__2].r, z__3.i = d11 * a[i__2].i;
+			i__3 = j + (k + 1) * a_dim1;
+			z__4.r = d21.r * a[i__3].r - d21.i * a[i__3].i, 
+				z__4.i = d21.r * a[i__3].i + d21.i * a[i__3]
+				.r;
+			z__2.r = z__3.r - z__4.r, z__2.i = z__3.i - z__4.i;
+			z__1.r = d__ * z__2.r, z__1.i = d__ * z__2.i;
+			wk.r = z__1.r, wk.i = z__1.i;
+			i__2 = j + (k + 1) * a_dim1;
+			z__3.r = d22 * a[i__2].r, z__3.i = d22 * a[i__2].i;
+			d_cnjg(&z__5, &d21);
+			i__3 = j + k * a_dim1;
+			z__4.r = z__5.r * a[i__3].r - z__5.i * a[i__3].i, 
+				z__4.i = z__5.r * a[i__3].i + z__5.i * a[i__3]
+				.r;
+			z__2.r = z__3.r - z__4.r, z__2.i = z__3.i - z__4.i;
+			z__1.r = d__ * z__2.r, z__1.i = d__ * z__2.i;
+			wkp1.r = z__1.r, wkp1.i = z__1.i;
+			i__2 = *n;
+			for (i__ = j; i__ <= i__2; ++i__) {
+			    i__3 = i__ + j * a_dim1;
+			    i__4 = i__ + j * a_dim1;
+			    i__5 = i__ + k * a_dim1;
+			    d_cnjg(&z__4, &wk);
+			    z__3.r = a[i__5].r * z__4.r - a[i__5].i * z__4.i, 
+				    z__3.i = a[i__5].r * z__4.i + a[i__5].i * 
+				    z__4.r;
+			    z__2.r = a[i__4].r - z__3.r, z__2.i = a[i__4].i - 
+				    z__3.i;
+			    i__6 = i__ + (k + 1) * a_dim1;
+			    d_cnjg(&z__6, &wkp1);
+			    z__5.r = a[i__6].r * z__6.r - a[i__6].i * z__6.i, 
+				    z__5.i = a[i__6].r * z__6.i + a[i__6].i * 
+				    z__6.r;
+			    z__1.r = z__2.r - z__5.r, z__1.i = z__2.i - 
+				    z__5.i;
+			    a[i__3].r = z__1.r, a[i__3].i = z__1.i;
+/* L70: */
+			}
+			i__2 = j + k * a_dim1;
+			a[i__2].r = wk.r, a[i__2].i = wk.i;
+			i__2 = j + (k + 1) * a_dim1;
+			a[i__2].r = wkp1.r, a[i__2].i = wkp1.i;
+			i__2 = j + j * a_dim1;
+			i__3 = j + j * a_dim1;
+			d__1 = a[i__3].r;
+			z__1.r = d__1, z__1.i = 0.;
+			a[i__2].r = z__1.r, a[i__2].i = z__1.i;
+/* L80: */
+		    }
+		}
+	    }
+	}
+
+/*        Store details of the interchanges in IPIV */
+
+	if (kstep == 1) {
+	    ipiv[k] = kp;
+	} else {
+	    ipiv[k] = -kp;
+	    ipiv[k + 1] = -kp;
+	}
+
+/*        Increase K and return to the start of the main loop */
+
+	k += kstep;
+	goto L50;
+
+    }
+
+L90:
+    return 0;
+
+/*     End of ZHETF2 */
+
+} /* zhetf2_ */