[] add metering mode to CLI

1 files changed, 508 insertions, 0 deletions

diff --git a/contrib/libs/clapack/zsptri.c b/contrib/libs/clapack/zsptri.c
new file mode 100644
index 0000000000..82a3cfcacb
--- /dev/null
+++ b/contrib/libs/clapack/zsptri.c
@@ -0,0 +1,508 @@
+/* zsptri.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.};
+static doublecomplex c_b2 = {0.,0.};
+static integer c__1 = 1;
+
+/* Subroutine */ int zsptri_(char *uplo, integer *n, doublecomplex *ap, 
+	integer *ipiv, doublecomplex *work, integer *info)
+{
+    /* System generated locals */
+    integer i__1, i__2, i__3;
+    doublecomplex z__1, z__2, z__3;
+
+    /* Builtin functions */
+    void z_div(doublecomplex *, doublecomplex *, doublecomplex *);
+
+    /* Local variables */
+    doublecomplex d__;
+    integer j, k;
+    doublecomplex t, ak;
+    integer kc, kp, kx, kpc, npp;
+    doublecomplex akp1, temp, akkp1;
+    extern logical lsame_(char *, char *);
+    integer kstep;
+    logical upper;
+    extern /* Subroutine */ int zcopy_(integer *, doublecomplex *, integer *, 
+	    doublecomplex *, integer *);
+    extern /* Double Complex */ VOID zdotu_(doublecomplex *, integer *, 
+	    doublecomplex *, integer *, doublecomplex *, integer *);
+    extern /* Subroutine */ int zswap_(integer *, doublecomplex *, integer *, 
+	    doublecomplex *, integer *), zspmv_(char *, integer *, 
+	    doublecomplex *, doublecomplex *, doublecomplex *, integer *, 
+	    doublecomplex *, doublecomplex *, integer *), xerbla_(
+	    char *, integer *);
+    integer kcnext;
+
+
+/*  -- LAPACK routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  ZSPTRI computes the inverse of a complex symmetric indefinite matrix */
+/*  A in packed storage using the factorization A = U*D*U**T or */
+/*  A = L*D*L**T computed by ZSPTRF. */
+
+/*  Arguments */
+/*  ========= */
+
+/*  UPLO    (input) CHARACTER*1 */
+/*          Specifies whether the details of the factorization are stored */
+/*          as an upper or lower triangular matrix. */
+/*          = 'U':  Upper triangular, form is A = U*D*U**T; */
+/*          = 'L':  Lower triangular, form is A = L*D*L**T. */
+
+/*  N       (input) INTEGER */
+/*          The order of the matrix A.  N >= 0. */
+
+/*  AP      (input/output) COMPLEX*16 array, dimension (N*(N+1)/2) */
+/*          On entry, the block diagonal matrix D and the multipliers */
+/*          used to obtain the factor U or L as computed by ZSPTRF, */
+/*          stored as a packed triangular matrix. */
+
+/*          On exit, if INFO = 0, the (symmetric) inverse of the original */
+/*          matrix, stored as a packed triangular matrix. The j-th column */
+/*          of inv(A) is stored in the array AP as follows: */
+/*          if UPLO = 'U', AP(i + (j-1)*j/2) = inv(A)(i,j) for 1<=i<=j; */
+/*          if UPLO = 'L', */
+/*             AP(i + (j-1)*(2n-j)/2) = inv(A)(i,j) for j<=i<=n. */
+
+/*  IPIV    (input) INTEGER array, dimension (N) */
+/*          Details of the interchanges and the block structure of D */
+/*          as determined by ZSPTRF. */
+
+/*  WORK    (workspace) COMPLEX*16 array, dimension (N) */
+
+/*  INFO    (output) INTEGER */
+/*          = 0: successful exit */
+/*          < 0: if INFO = -i, the i-th argument had an illegal value */
+/*          > 0: if INFO = i, D(i,i) = 0; the matrix is singular and its */
+/*               inverse could not be computed. */
+
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. External Functions .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+/*     Test the input parameters. */
+
+    /* Parameter adjustments */
+    --work;
+    --ipiv;
+    --ap;
+
+    /* Function Body */
+    *info = 0;
+    upper = lsame_(uplo, "U");
+    if (! upper && ! lsame_(uplo, "L")) {
+	*info = -1;
+    } else if (*n < 0) {
+	*info = -2;
+    }
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("ZSPTRI", &i__1);
+	return 0;
+    }
+
+/*     Quick return if possible */
+
+    if (*n == 0) {
+	return 0;
+    }
+
+/*     Check that the diagonal matrix D is nonsingular. */
+
+    if (upper) {
+
+/*        Upper triangular storage: examine D from bottom to top */
+
+	kp = *n * (*n + 1) / 2;
+	for (*info = *n; *info >= 1; --(*info)) {
+	    i__1 = kp;
+	    if (ipiv[*info] > 0 && (ap[i__1].r == 0. && ap[i__1].i == 0.)) {
+		return 0;
+	    }
+	    kp -= *info;
+/* L10: */
+	}
+    } else {
+
+/*        Lower triangular storage: examine D from top to bottom. */
+
+	kp = 1;
+	i__1 = *n;
+	for (*info = 1; *info <= i__1; ++(*info)) {
+	    i__2 = kp;
+	    if (ipiv[*info] > 0 && (ap[i__2].r == 0. && ap[i__2].i == 0.)) {
+		return 0;
+	    }
+	    kp = kp + *n - *info + 1;
+/* L20: */
+	}
+    }
+    *info = 0;
+
+    if (upper) {
+
+/*        Compute inv(A) from the factorization A = U*D*U'. */
+
+/*        K is the main loop index, increasing from 1 to N in steps of */
+/*        1 or 2, depending on the size of the diagonal blocks. */
+
+	k = 1;
+	kc = 1;
+L30:
+
+/*        If K > N, exit from loop. */
+
+	if (k > *n) {
+	    goto L50;
+	}
+
+	kcnext = kc + k;
+	if (ipiv[k] > 0) {
+
+/*           1 x 1 diagonal block */
+
+/*           Invert the diagonal block. */
+
+	    i__1 = kc + k - 1;
+	    z_div(&z__1, &c_b1, &ap[kc + k - 1]);
+	    ap[i__1].r = z__1.r, ap[i__1].i = z__1.i;
+
+/*           Compute column K of the inverse. */
+
+	    if (k > 1) {
+		i__1 = k - 1;
+		zcopy_(&i__1, &ap[kc], &c__1, &work[1], &c__1);
+		i__1 = k - 1;
+		z__1.r = -1., z__1.i = -0.;
+		zspmv_(uplo, &i__1, &z__1, &ap[1], &work[1], &c__1, &c_b2, &
+			ap[kc], &c__1);
+		i__1 = kc + k - 1;
+		i__2 = kc + k - 1;
+		i__3 = k - 1;
+		zdotu_(&z__2, &i__3, &work[1], &c__1, &ap[kc], &c__1);
+		z__1.r = ap[i__2].r - z__2.r, z__1.i = ap[i__2].i - z__2.i;
+		ap[i__1].r = z__1.r, ap[i__1].i = z__1.i;
+	    }
+	    kstep = 1;
+	} else {
+
+/*           2 x 2 diagonal block */
+
+/*           Invert the diagonal block. */
+
+	    i__1 = kcnext + k - 1;
+	    t.r = ap[i__1].r, t.i = ap[i__1].i;
+	    z_div(&z__1, &ap[kc + k - 1], &t);
+	    ak.r = z__1.r, ak.i = z__1.i;
+	    z_div(&z__1, &ap[kcnext + k], &t);
+	    akp1.r = z__1.r, akp1.i = z__1.i;
+	    z_div(&z__1, &ap[kcnext + k - 1], &t);
+	    akkp1.r = z__1.r, akkp1.i = z__1.i;
+	    z__3.r = ak.r * akp1.r - ak.i * akp1.i, z__3.i = ak.r * akp1.i + 
+		    ak.i * akp1.r;
+	    z__2.r = z__3.r - 1., z__2.i = z__3.i - 0.;
+	    z__1.r = t.r * z__2.r - t.i * z__2.i, z__1.i = t.r * z__2.i + t.i 
+		    * z__2.r;
+	    d__.r = z__1.r, d__.i = z__1.i;
+	    i__1 = kc + k - 1;
+	    z_div(&z__1, &akp1, &d__);
+	    ap[i__1].r = z__1.r, ap[i__1].i = z__1.i;
+	    i__1 = kcnext + k;
+	    z_div(&z__1, &ak, &d__);
+	    ap[i__1].r = z__1.r, ap[i__1].i = z__1.i;
+	    i__1 = kcnext + k - 1;
+	    z__2.r = -akkp1.r, z__2.i = -akkp1.i;
+	    z_div(&z__1, &z__2, &d__);
+	    ap[i__1].r = z__1.r, ap[i__1].i = z__1.i;
+
+/*           Compute columns K and K+1 of the inverse. */
+
+	    if (k > 1) {
+		i__1 = k - 1;
+		zcopy_(&i__1, &ap[kc], &c__1, &work[1], &c__1);
+		i__1 = k - 1;
+		z__1.r = -1., z__1.i = -0.;
+		zspmv_(uplo, &i__1, &z__1, &ap[1], &work[1], &c__1, &c_b2, &
+			ap[kc], &c__1);
+		i__1 = kc + k - 1;
+		i__2 = kc + k - 1;
+		i__3 = k - 1;
+		zdotu_(&z__2, &i__3, &work[1], &c__1, &ap[kc], &c__1);
+		z__1.r = ap[i__2].r - z__2.r, z__1.i = ap[i__2].i - z__2.i;
+		ap[i__1].r = z__1.r, ap[i__1].i = z__1.i;
+		i__1 = kcnext + k - 1;
+		i__2 = kcnext + k - 1;
+		i__3 = k - 1;
+		zdotu_(&z__2, &i__3, &ap[kc], &c__1, &ap[kcnext], &c__1);
+		z__1.r = ap[i__2].r - z__2.r, z__1.i = ap[i__2].i - z__2.i;
+		ap[i__1].r = z__1.r, ap[i__1].i = z__1.i;
+		i__1 = k - 1;
+		zcopy_(&i__1, &ap[kcnext], &c__1, &work[1], &c__1);
+		i__1 = k - 1;
+		z__1.r = -1., z__1.i = -0.;
+		zspmv_(uplo, &i__1, &z__1, &ap[1], &work[1], &c__1, &c_b2, &
+			ap[kcnext], &c__1);
+		i__1 = kcnext + k;
+		i__2 = kcnext + k;
+		i__3 = k - 1;
+		zdotu_(&z__2, &i__3, &work[1], &c__1, &ap[kcnext], &c__1);
+		z__1.r = ap[i__2].r - z__2.r, z__1.i = ap[i__2].i - z__2.i;
+		ap[i__1].r = z__1.r, ap[i__1].i = z__1.i;
+	    }
+	    kstep = 2;
+	    kcnext = kcnext + k + 1;
+	}
+
+	kp = (i__1 = ipiv[k], abs(i__1));
+	if (kp != k) {
+
+/*           Interchange rows and columns K and KP in the leading */
+/*           submatrix A(1:k+1,1:k+1) */
+
+	    kpc = (kp - 1) * kp / 2 + 1;
+	    i__1 = kp - 1;
+	    zswap_(&i__1, &ap[kc], &c__1, &ap[kpc], &c__1);
+	    kx = kpc + kp - 1;
+	    i__1 = k - 1;
+	    for (j = kp + 1; j <= i__1; ++j) {
+		kx = kx + j - 1;
+		i__2 = kc + j - 1;
+		temp.r = ap[i__2].r, temp.i = ap[i__2].i;
+		i__2 = kc + j - 1;
+		i__3 = kx;
+		ap[i__2].r = ap[i__3].r, ap[i__2].i = ap[i__3].i;
+		i__2 = kx;
+		ap[i__2].r = temp.r, ap[i__2].i = temp.i;
+/* L40: */
+	    }
+	    i__1 = kc + k - 1;
+	    temp.r = ap[i__1].r, temp.i = ap[i__1].i;
+	    i__1 = kc + k - 1;
+	    i__2 = kpc + kp - 1;
+	    ap[i__1].r = ap[i__2].r, ap[i__1].i = ap[i__2].i;
+	    i__1 = kpc + kp - 1;
+	    ap[i__1].r = temp.r, ap[i__1].i = temp.i;
+	    if (kstep == 2) {
+		i__1 = kc + k + k - 1;
+		temp.r = ap[i__1].r, temp.i = ap[i__1].i;
+		i__1 = kc + k + k - 1;
+		i__2 = kc + k + kp - 1;
+		ap[i__1].r = ap[i__2].r, ap[i__1].i = ap[i__2].i;
+		i__1 = kc + k + kp - 1;
+		ap[i__1].r = temp.r, ap[i__1].i = temp.i;
+	    }
+	}
+
+	k += kstep;
+	kc = kcnext;
+	goto L30;
+L50:
+
+	;
+    } else {
+
+/*        Compute inv(A) from the factorization A = L*D*L'. */
+
+/*        K is the main loop index, increasing from 1 to N in steps of */
+/*        1 or 2, depending on the size of the diagonal blocks. */
+
+	npp = *n * (*n + 1) / 2;
+	k = *n;
+	kc = npp;
+L60:
+
+/*        If K < 1, exit from loop. */
+
+	if (k < 1) {
+	    goto L80;
+	}
+
+	kcnext = kc - (*n - k + 2);
+	if (ipiv[k] > 0) {
+
+/*           1 x 1 diagonal block */
+
+/*           Invert the diagonal block. */
+
+	    i__1 = kc;
+	    z_div(&z__1, &c_b1, &ap[kc]);
+	    ap[i__1].r = z__1.r, ap[i__1].i = z__1.i;
+
+/*           Compute column K of the inverse. */
+
+	    if (k < *n) {
+		i__1 = *n - k;
+		zcopy_(&i__1, &ap[kc + 1], &c__1, &work[1], &c__1);
+		i__1 = *n - k;
+		z__1.r = -1., z__1.i = -0.;
+		zspmv_(uplo, &i__1, &z__1, &ap[kc + *n - k + 1], &work[1], &
+			c__1, &c_b2, &ap[kc + 1], &c__1);
+		i__1 = kc;
+		i__2 = kc;
+		i__3 = *n - k;
+		zdotu_(&z__2, &i__3, &work[1], &c__1, &ap[kc + 1], &c__1);
+		z__1.r = ap[i__2].r - z__2.r, z__1.i = ap[i__2].i - z__2.i;
+		ap[i__1].r = z__1.r, ap[i__1].i = z__1.i;
+	    }
+	    kstep = 1;
+	} else {
+
+/*           2 x 2 diagonal block */
+
+/*           Invert the diagonal block. */
+
+	    i__1 = kcnext + 1;
+	    t.r = ap[i__1].r, t.i = ap[i__1].i;
+	    z_div(&z__1, &ap[kcnext], &t);
+	    ak.r = z__1.r, ak.i = z__1.i;
+	    z_div(&z__1, &ap[kc], &t);
+	    akp1.r = z__1.r, akp1.i = z__1.i;
+	    z_div(&z__1, &ap[kcnext + 1], &t);
+	    akkp1.r = z__1.r, akkp1.i = z__1.i;
+	    z__3.r = ak.r * akp1.r - ak.i * akp1.i, z__3.i = ak.r * akp1.i + 
+		    ak.i * akp1.r;
+	    z__2.r = z__3.r - 1., z__2.i = z__3.i - 0.;
+	    z__1.r = t.r * z__2.r - t.i * z__2.i, z__1.i = t.r * z__2.i + t.i 
+		    * z__2.r;
+	    d__.r = z__1.r, d__.i = z__1.i;
+	    i__1 = kcnext;
+	    z_div(&z__1, &akp1, &d__);
+	    ap[i__1].r = z__1.r, ap[i__1].i = z__1.i;
+	    i__1 = kc;
+	    z_div(&z__1, &ak, &d__);
+	    ap[i__1].r = z__1.r, ap[i__1].i = z__1.i;
+	    i__1 = kcnext + 1;
+	    z__2.r = -akkp1.r, z__2.i = -akkp1.i;
+	    z_div(&z__1, &z__2, &d__);
+	    ap[i__1].r = z__1.r, ap[i__1].i = z__1.i;
+
+/*           Compute columns K-1 and K of the inverse. */
+
+	    if (k < *n) {
+		i__1 = *n - k;
+		zcopy_(&i__1, &ap[kc + 1], &c__1, &work[1], &c__1);
+		i__1 = *n - k;
+		z__1.r = -1., z__1.i = -0.;
+		zspmv_(uplo, &i__1, &z__1, &ap[kc + (*n - k + 1)], &work[1], &
+			c__1, &c_b2, &ap[kc + 1], &c__1);
+		i__1 = kc;
+		i__2 = kc;
+		i__3 = *n - k;
+		zdotu_(&z__2, &i__3, &work[1], &c__1, &ap[kc + 1], &c__1);
+		z__1.r = ap[i__2].r - z__2.r, z__1.i = ap[i__2].i - z__2.i;
+		ap[i__1].r = z__1.r, ap[i__1].i = z__1.i;
+		i__1 = kcnext + 1;
+		i__2 = kcnext + 1;
+		i__3 = *n - k;
+		zdotu_(&z__2, &i__3, &ap[kc + 1], &c__1, &ap[kcnext + 2], &
+			c__1);
+		z__1.r = ap[i__2].r - z__2.r, z__1.i = ap[i__2].i - z__2.i;
+		ap[i__1].r = z__1.r, ap[i__1].i = z__1.i;
+		i__1 = *n - k;
+		zcopy_(&i__1, &ap[kcnext + 2], &c__1, &work[1], &c__1);
+		i__1 = *n - k;
+		z__1.r = -1., z__1.i = -0.;
+		zspmv_(uplo, &i__1, &z__1, &ap[kc + (*n - k + 1)], &work[1], &
+			c__1, &c_b2, &ap[kcnext + 2], &c__1);
+		i__1 = kcnext;
+		i__2 = kcnext;
+		i__3 = *n - k;
+		zdotu_(&z__2, &i__3, &work[1], &c__1, &ap[kcnext + 2], &c__1);
+		z__1.r = ap[i__2].r - z__2.r, z__1.i = ap[i__2].i - z__2.i;
+		ap[i__1].r = z__1.r, ap[i__1].i = z__1.i;
+	    }
+	    kstep = 2;
+	    kcnext -= *n - k + 3;
+	}
+
+	kp = (i__1 = ipiv[k], abs(i__1));
+	if (kp != k) {
+
+/*           Interchange rows and columns K and KP in the trailing */
+/*           submatrix A(k-1:n,k-1:n) */
+
+	    kpc = npp - (*n - kp + 1) * (*n - kp + 2) / 2 + 1;
+	    if (kp < *n) {
+		i__1 = *n - kp;
+		zswap_(&i__1, &ap[kc + kp - k + 1], &c__1, &ap[kpc + 1], &
+			c__1);
+	    }
+	    kx = kc + kp - k;
+	    i__1 = kp - 1;
+	    for (j = k + 1; j <= i__1; ++j) {
+		kx = kx + *n - j + 1;
+		i__2 = kc + j - k;
+		temp.r = ap[i__2].r, temp.i = ap[i__2].i;
+		i__2 = kc + j - k;
+		i__3 = kx;
+		ap[i__2].r = ap[i__3].r, ap[i__2].i = ap[i__3].i;
+		i__2 = kx;
+		ap[i__2].r = temp.r, ap[i__2].i = temp.i;
+/* L70: */
+	    }
+	    i__1 = kc;
+	    temp.r = ap[i__1].r, temp.i = ap[i__1].i;
+	    i__1 = kc;
+	    i__2 = kpc;
+	    ap[i__1].r = ap[i__2].r, ap[i__1].i = ap[i__2].i;
+	    i__1 = kpc;
+	    ap[i__1].r = temp.r, ap[i__1].i = temp.i;
+	    if (kstep == 2) {
+		i__1 = kc - *n + k - 1;
+		temp.r = ap[i__1].r, temp.i = ap[i__1].i;
+		i__1 = kc - *n + k - 1;
+		i__2 = kc - *n + kp - 1;
+		ap[i__1].r = ap[i__2].r, ap[i__1].i = ap[i__2].i;
+		i__1 = kc - *n + kp - 1;
+		ap[i__1].r = temp.r, ap[i__1].i = temp.i;
+	    }
+	}
+
+	k -= kstep;
+	kc = kcnext;
+	goto L60;
+L80:
+	;
+    }
+
+    return 0;
+
+/*     End of ZSPTRI */
+
+} /* zsptri_ */