[] add metering mode to CLI

1 files changed, 529 insertions, 0 deletions

diff --git a/contrib/libs/clapack/zhetrs.c b/contrib/libs/clapack/zhetrs.c
new file mode 100644
index 0000000000..ba566623b4
--- /dev/null
+++ b/contrib/libs/clapack/zhetrs.c
@@ -0,0 +1,529 @@
+/* zhetrs.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 integer c__1 = 1;
+
+/* Subroutine */ int zhetrs_(char *uplo, integer *n, integer *nrhs, 
+	doublecomplex *a, integer *lda, integer *ipiv, doublecomplex *b, 
+	integer *ldb, integer *info)
+{
+    /* System generated locals */
+    integer a_dim1, a_offset, b_dim1, b_offset, i__1, i__2;
+    doublecomplex z__1, z__2, z__3;
+
+    /* Builtin functions */
+    void z_div(doublecomplex *, doublecomplex *, doublecomplex *), d_cnjg(
+	    doublecomplex *, doublecomplex *);
+
+    /* Local variables */
+    integer j, k;
+    doublereal s;
+    doublecomplex ak, bk;
+    integer kp;
+    doublecomplex akm1, bkm1, akm1k;
+    extern logical lsame_(char *, char *);
+    doublecomplex denom;
+    extern /* Subroutine */ int zgemv_(char *, integer *, integer *, 
+	    doublecomplex *, doublecomplex *, integer *, doublecomplex *, 
+	    integer *, doublecomplex *, doublecomplex *, integer *);
+    logical upper;
+    extern /* Subroutine */ int zgeru_(integer *, integer *, doublecomplex *, 
+	    doublecomplex *, integer *, doublecomplex *, integer *, 
+	    doublecomplex *, integer *), zswap_(integer *, doublecomplex *, 
+	    integer *, doublecomplex *, integer *), xerbla_(char *, integer *), zdscal_(integer *, doublereal *, doublecomplex *, 
+	    integer *), zlacgv_(integer *, doublecomplex *, integer *);
+
+
+/*  -- LAPACK routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  ZHETRS solves a system of linear equations A*X = B with a complex */
+/*  Hermitian matrix A using the factorization A = U*D*U**H or */
+/*  A = L*D*L**H computed by ZHETRF. */
+
+/*  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**H; */
+/*          = 'L':  Lower triangular, form is A = L*D*L**H. */
+
+/*  N       (input) INTEGER */
+/*          The order of the matrix A.  N >= 0. */
+
+/*  NRHS    (input) INTEGER */
+/*          The number of right hand sides, i.e., the number of columns */
+/*          of the matrix B.  NRHS >= 0. */
+
+/*  A       (input) COMPLEX*16 array, dimension (LDA,N) */
+/*          The block diagonal matrix D and the multipliers used to */
+/*          obtain the factor U or L as computed by ZHETRF. */
+
+/*  LDA     (input) INTEGER */
+/*          The leading dimension of the array A.  LDA >= max(1,N). */
+
+/*  IPIV    (input) INTEGER array, dimension (N) */
+/*          Details of the interchanges and the block structure of D */
+/*          as determined by ZHETRF. */
+
+/*  B       (input/output) COMPLEX*16 array, dimension (LDB,NRHS) */
+/*          On entry, the right hand side matrix B. */
+/*          On exit, the solution matrix X. */
+
+/*  LDB     (input) INTEGER */
+/*          The leading dimension of the array B.  LDB >= max(1,N). */
+
+/*  INFO    (output) INTEGER */
+/*          = 0:  successful exit */
+/*          < 0:  if INFO = -i, the i-th argument had an illegal value */
+
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. External Functions .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+    /* Parameter adjustments */
+    a_dim1 = *lda;
+    a_offset = 1 + a_dim1;
+    a -= a_offset;
+    --ipiv;
+    b_dim1 = *ldb;
+    b_offset = 1 + b_dim1;
+    b -= b_offset;
+
+    /* Function Body */
+    *info = 0;
+    upper = lsame_(uplo, "U");
+    if (! upper && ! lsame_(uplo, "L")) {
+	*info = -1;
+    } else if (*n < 0) {
+	*info = -2;
+    } else if (*nrhs < 0) {
+	*info = -3;
+    } else if (*lda < max(1,*n)) {
+	*info = -5;
+    } else if (*ldb < max(1,*n)) {
+	*info = -8;
+    }
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("ZHETRS", &i__1);
+	return 0;
+    }
+
+/*     Quick return if possible */
+
+    if (*n == 0 || *nrhs == 0) {
+	return 0;
+    }
+
+    if (upper) {
+
+/*        Solve A*X = B, where A = U*D*U'. */
+
+/*        First solve U*D*X = B, overwriting B with X. */
+
+/*        K is the main loop index, decreasing from N to 1 in steps of */
+/*        1 or 2, depending on the size of the diagonal blocks. */
+
+	k = *n;
+L10:
+
+/*        If K < 1, exit from loop. */
+
+	if (k < 1) {
+	    goto L30;
+	}
+
+	if (ipiv[k] > 0) {
+
+/*           1 x 1 diagonal block */
+
+/*           Interchange rows K and IPIV(K). */
+
+	    kp = ipiv[k];
+	    if (kp != k) {
+		zswap_(nrhs, &b[k + b_dim1], ldb, &b[kp + b_dim1], ldb);
+	    }
+
+/*           Multiply by inv(U(K)), where U(K) is the transformation */
+/*           stored in column K of A. */
+
+	    i__1 = k - 1;
+	    z__1.r = -1., z__1.i = -0.;
+	    zgeru_(&i__1, nrhs, &z__1, &a[k * a_dim1 + 1], &c__1, &b[k + 
+		    b_dim1], ldb, &b[b_dim1 + 1], ldb);
+
+/*           Multiply by the inverse of the diagonal block. */
+
+	    i__1 = k + k * a_dim1;
+	    s = 1. / a[i__1].r;
+	    zdscal_(nrhs, &s, &b[k + b_dim1], ldb);
+	    --k;
+	} else {
+
+/*           2 x 2 diagonal block */
+
+/*           Interchange rows K-1 and -IPIV(K). */
+
+	    kp = -ipiv[k];
+	    if (kp != k - 1) {
+		zswap_(nrhs, &b[k - 1 + b_dim1], ldb, &b[kp + b_dim1], ldb);
+	    }
+
+/*           Multiply by inv(U(K)), where U(K) is the transformation */
+/*           stored in columns K-1 and K of A. */
+
+	    i__1 = k - 2;
+	    z__1.r = -1., z__1.i = -0.;
+	    zgeru_(&i__1, nrhs, &z__1, &a[k * a_dim1 + 1], &c__1, &b[k + 
+		    b_dim1], ldb, &b[b_dim1 + 1], ldb);
+	    i__1 = k - 2;
+	    z__1.r = -1., z__1.i = -0.;
+	    zgeru_(&i__1, nrhs, &z__1, &a[(k - 1) * a_dim1 + 1], &c__1, &b[k 
+		    - 1 + b_dim1], ldb, &b[b_dim1 + 1], ldb);
+
+/*           Multiply by the inverse of the diagonal block. */
+
+	    i__1 = k - 1 + k * a_dim1;
+	    akm1k.r = a[i__1].r, akm1k.i = a[i__1].i;
+	    z_div(&z__1, &a[k - 1 + (k - 1) * a_dim1], &akm1k);
+	    akm1.r = z__1.r, akm1.i = z__1.i;
+	    d_cnjg(&z__2, &akm1k);
+	    z_div(&z__1, &a[k + k * a_dim1], &z__2);
+	    ak.r = z__1.r, ak.i = z__1.i;
+	    z__2.r = akm1.r * ak.r - akm1.i * ak.i, z__2.i = akm1.r * ak.i + 
+		    akm1.i * ak.r;
+	    z__1.r = z__2.r - 1., z__1.i = z__2.i - 0.;
+	    denom.r = z__1.r, denom.i = z__1.i;
+	    i__1 = *nrhs;
+	    for (j = 1; j <= i__1; ++j) {
+		z_div(&z__1, &b[k - 1 + j * b_dim1], &akm1k);
+		bkm1.r = z__1.r, bkm1.i = z__1.i;
+		d_cnjg(&z__2, &akm1k);
+		z_div(&z__1, &b[k + j * b_dim1], &z__2);
+		bk.r = z__1.r, bk.i = z__1.i;
+		i__2 = k - 1 + j * b_dim1;
+		z__3.r = ak.r * bkm1.r - ak.i * bkm1.i, z__3.i = ak.r * 
+			bkm1.i + ak.i * bkm1.r;
+		z__2.r = z__3.r - bk.r, z__2.i = z__3.i - bk.i;
+		z_div(&z__1, &z__2, &denom);
+		b[i__2].r = z__1.r, b[i__2].i = z__1.i;
+		i__2 = k + j * b_dim1;
+		z__3.r = akm1.r * bk.r - akm1.i * bk.i, z__3.i = akm1.r * 
+			bk.i + akm1.i * bk.r;
+		z__2.r = z__3.r - bkm1.r, z__2.i = z__3.i - bkm1.i;
+		z_div(&z__1, &z__2, &denom);
+		b[i__2].r = z__1.r, b[i__2].i = z__1.i;
+/* L20: */
+	    }
+	    k += -2;
+	}
+
+	goto L10;
+L30:
+
+/*        Next solve U'*X = B, overwriting B with X. */
+
+/*        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;
+L40:
+
+/*        If K > N, exit from loop. */
+
+	if (k > *n) {
+	    goto L50;
+	}
+
+	if (ipiv[k] > 0) {
+
+/*           1 x 1 diagonal block */
+
+/*           Multiply by inv(U'(K)), where U(K) is the transformation */
+/*           stored in column K of A. */
+
+	    if (k > 1) {
+		zlacgv_(nrhs, &b[k + b_dim1], ldb);
+		i__1 = k - 1;
+		z__1.r = -1., z__1.i = -0.;
+		zgemv_("Conjugate transpose", &i__1, nrhs, &z__1, &b[b_offset]
+, ldb, &a[k * a_dim1 + 1], &c__1, &c_b1, &b[k + 
+			b_dim1], ldb);
+		zlacgv_(nrhs, &b[k + b_dim1], ldb);
+	    }
+
+/*           Interchange rows K and IPIV(K). */
+
+	    kp = ipiv[k];
+	    if (kp != k) {
+		zswap_(nrhs, &b[k + b_dim1], ldb, &b[kp + b_dim1], ldb);
+	    }
+	    ++k;
+	} else {
+
+/*           2 x 2 diagonal block */
+
+/*           Multiply by inv(U'(K+1)), where U(K+1) is the transformation */
+/*           stored in columns K and K+1 of A. */
+
+	    if (k > 1) {
+		zlacgv_(nrhs, &b[k + b_dim1], ldb);
+		i__1 = k - 1;
+		z__1.r = -1., z__1.i = -0.;
+		zgemv_("Conjugate transpose", &i__1, nrhs, &z__1, &b[b_offset]
+, ldb, &a[k * a_dim1 + 1], &c__1, &c_b1, &b[k + 
+			b_dim1], ldb);
+		zlacgv_(nrhs, &b[k + b_dim1], ldb);
+
+		zlacgv_(nrhs, &b[k + 1 + b_dim1], ldb);
+		i__1 = k - 1;
+		z__1.r = -1., z__1.i = -0.;
+		zgemv_("Conjugate transpose", &i__1, nrhs, &z__1, &b[b_offset]
+, ldb, &a[(k + 1) * a_dim1 + 1], &c__1, &c_b1, &b[k + 
+			1 + b_dim1], ldb);
+		zlacgv_(nrhs, &b[k + 1 + b_dim1], ldb);
+	    }
+
+/*           Interchange rows K and -IPIV(K). */
+
+	    kp = -ipiv[k];
+	    if (kp != k) {
+		zswap_(nrhs, &b[k + b_dim1], ldb, &b[kp + b_dim1], ldb);
+	    }
+	    k += 2;
+	}
+
+	goto L40;
+L50:
+
+	;
+    } else {
+
+/*        Solve A*X = B, where A = L*D*L'. */
+
+/*        First solve L*D*X = B, overwriting B with X. */
+
+/*        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;
+L60:
+
+/*        If K > N, exit from loop. */
+
+	if (k > *n) {
+	    goto L80;
+	}
+
+	if (ipiv[k] > 0) {
+
+/*           1 x 1 diagonal block */
+
+/*           Interchange rows K and IPIV(K). */
+
+	    kp = ipiv[k];
+	    if (kp != k) {
+		zswap_(nrhs, &b[k + b_dim1], ldb, &b[kp + b_dim1], ldb);
+	    }
+
+/*           Multiply by inv(L(K)), where L(K) is the transformation */
+/*           stored in column K of A. */
+
+	    if (k < *n) {
+		i__1 = *n - k;
+		z__1.r = -1., z__1.i = -0.;
+		zgeru_(&i__1, nrhs, &z__1, &a[k + 1 + k * a_dim1], &c__1, &b[
+			k + b_dim1], ldb, &b[k + 1 + b_dim1], ldb);
+	    }
+
+/*           Multiply by the inverse of the diagonal block. */
+
+	    i__1 = k + k * a_dim1;
+	    s = 1. / a[i__1].r;
+	    zdscal_(nrhs, &s, &b[k + b_dim1], ldb);
+	    ++k;
+	} else {
+
+/*           2 x 2 diagonal block */
+
+/*           Interchange rows K+1 and -IPIV(K). */
+
+	    kp = -ipiv[k];
+	    if (kp != k + 1) {
+		zswap_(nrhs, &b[k + 1 + b_dim1], ldb, &b[kp + b_dim1], ldb);
+	    }
+
+/*           Multiply by inv(L(K)), where L(K) is the transformation */
+/*           stored in columns K and K+1 of A. */
+
+	    if (k < *n - 1) {
+		i__1 = *n - k - 1;
+		z__1.r = -1., z__1.i = -0.;
+		zgeru_(&i__1, nrhs, &z__1, &a[k + 2 + k * a_dim1], &c__1, &b[
+			k + b_dim1], ldb, &b[k + 2 + b_dim1], ldb);
+		i__1 = *n - k - 1;
+		z__1.r = -1., z__1.i = -0.;
+		zgeru_(&i__1, nrhs, &z__1, &a[k + 2 + (k + 1) * a_dim1], &
+			c__1, &b[k + 1 + b_dim1], ldb, &b[k + 2 + b_dim1], 
+			ldb);
+	    }
+
+/*           Multiply by the inverse of the diagonal block. */
+
+	    i__1 = k + 1 + k * a_dim1;
+	    akm1k.r = a[i__1].r, akm1k.i = a[i__1].i;
+	    d_cnjg(&z__2, &akm1k);
+	    z_div(&z__1, &a[k + k * a_dim1], &z__2);
+	    akm1.r = z__1.r, akm1.i = z__1.i;
+	    z_div(&z__1, &a[k + 1 + (k + 1) * a_dim1], &akm1k);
+	    ak.r = z__1.r, ak.i = z__1.i;
+	    z__2.r = akm1.r * ak.r - akm1.i * ak.i, z__2.i = akm1.r * ak.i + 
+		    akm1.i * ak.r;
+	    z__1.r = z__2.r - 1., z__1.i = z__2.i - 0.;
+	    denom.r = z__1.r, denom.i = z__1.i;
+	    i__1 = *nrhs;
+	    for (j = 1; j <= i__1; ++j) {
+		d_cnjg(&z__2, &akm1k);
+		z_div(&z__1, &b[k + j * b_dim1], &z__2);
+		bkm1.r = z__1.r, bkm1.i = z__1.i;
+		z_div(&z__1, &b[k + 1 + j * b_dim1], &akm1k);
+		bk.r = z__1.r, bk.i = z__1.i;
+		i__2 = k + j * b_dim1;
+		z__3.r = ak.r * bkm1.r - ak.i * bkm1.i, z__3.i = ak.r * 
+			bkm1.i + ak.i * bkm1.r;
+		z__2.r = z__3.r - bk.r, z__2.i = z__3.i - bk.i;
+		z_div(&z__1, &z__2, &denom);
+		b[i__2].r = z__1.r, b[i__2].i = z__1.i;
+		i__2 = k + 1 + j * b_dim1;
+		z__3.r = akm1.r * bk.r - akm1.i * bk.i, z__3.i = akm1.r * 
+			bk.i + akm1.i * bk.r;
+		z__2.r = z__3.r - bkm1.r, z__2.i = z__3.i - bkm1.i;
+		z_div(&z__1, &z__2, &denom);
+		b[i__2].r = z__1.r, b[i__2].i = z__1.i;
+/* L70: */
+	    }
+	    k += 2;
+	}
+
+	goto L60;
+L80:
+
+/*        Next solve L'*X = B, overwriting B with X. */
+
+/*        K is the main loop index, decreasing from N to 1 in steps of */
+/*        1 or 2, depending on the size of the diagonal blocks. */
+
+	k = *n;
+L90:
+
+/*        If K < 1, exit from loop. */
+
+	if (k < 1) {
+	    goto L100;
+	}
+
+	if (ipiv[k] > 0) {
+
+/*           1 x 1 diagonal block */
+
+/*           Multiply by inv(L'(K)), where L(K) is the transformation */
+/*           stored in column K of A. */
+
+	    if (k < *n) {
+		zlacgv_(nrhs, &b[k + b_dim1], ldb);
+		i__1 = *n - k;
+		z__1.r = -1., z__1.i = -0.;
+		zgemv_("Conjugate transpose", &i__1, nrhs, &z__1, &b[k + 1 + 
+			b_dim1], ldb, &a[k + 1 + k * a_dim1], &c__1, &c_b1, &
+			b[k + b_dim1], ldb);
+		zlacgv_(nrhs, &b[k + b_dim1], ldb);
+	    }
+
+/*           Interchange rows K and IPIV(K). */
+
+	    kp = ipiv[k];
+	    if (kp != k) {
+		zswap_(nrhs, &b[k + b_dim1], ldb, &b[kp + b_dim1], ldb);
+	    }
+	    --k;
+	} else {
+
+/*           2 x 2 diagonal block */
+
+/*           Multiply by inv(L'(K-1)), where L(K-1) is the transformation */
+/*           stored in columns K-1 and K of A. */
+
+	    if (k < *n) {
+		zlacgv_(nrhs, &b[k + b_dim1], ldb);
+		i__1 = *n - k;
+		z__1.r = -1., z__1.i = -0.;
+		zgemv_("Conjugate transpose", &i__1, nrhs, &z__1, &b[k + 1 + 
+			b_dim1], ldb, &a[k + 1 + k * a_dim1], &c__1, &c_b1, &
+			b[k + b_dim1], ldb);
+		zlacgv_(nrhs, &b[k + b_dim1], ldb);
+
+		zlacgv_(nrhs, &b[k - 1 + b_dim1], ldb);
+		i__1 = *n - k;
+		z__1.r = -1., z__1.i = -0.;
+		zgemv_("Conjugate transpose", &i__1, nrhs, &z__1, &b[k + 1 + 
+			b_dim1], ldb, &a[k + 1 + (k - 1) * a_dim1], &c__1, &
+			c_b1, &b[k - 1 + b_dim1], ldb);
+		zlacgv_(nrhs, &b[k - 1 + b_dim1], ldb);
+	    }
+
+/*           Interchange rows K and -IPIV(K). */
+
+	    kp = -ipiv[k];
+	    if (kp != k) {
+		zswap_(nrhs, &b[k + b_dim1], ldb, &b[kp + b_dim1], ldb);
+	    }
+	    k += -2;
+	}
+
+	goto L90;
+L100:
+	;
+    }
+
+    return 0;
+
+/*     End of ZHETRS */
+
+} /* zhetrs_ */