[] add metering mode to CLI

1 files changed, 402 insertions, 0 deletions

diff --git a/contrib/libs/clapack/spftri.c b/contrib/libs/clapack/spftri.c
new file mode 100644
index 0000000000..fde795a5bf
--- /dev/null
+++ b/contrib/libs/clapack/spftri.c
@@ -0,0 +1,402 @@
+/* spftri.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 real c_b11 = 1.f;
+
+/* Subroutine */ int spftri_(char *transr, char *uplo, integer *n, real *a, 
+	integer *info)
+{
+    /* System generated locals */
+    integer i__1, i__2;
+
+    /* Local variables */
+    integer k, n1, n2;
+    logical normaltransr;
+    extern logical lsame_(char *, char *);
+    logical lower;
+    extern /* Subroutine */ int strmm_(char *, char *, char *, char *, 
+	    integer *, integer *, real *, real *, integer *, real *, integer *
+), ssyrk_(char *, char *, integer 
+	    *, integer *, real *, real *, integer *, real *, real *, integer *
+), xerbla_(char *, integer *);
+    logical nisodd;
+    extern /* Subroutine */ int slauum_(char *, integer *, real *, integer *, 
+	    integer *), stftri_(char *, char *, char *, integer *, 
+	    real *, integer *);
+
+
+/*  -- LAPACK routine (version 3.2)                                    -- */
+
+/*  -- Contributed by Fred Gustavson of the IBM Watson Research Center -- */
+/*  -- November 2008                                                   -- */
+
+/*  -- LAPACK is a software package provided by Univ. of Tennessee,    -- */
+/*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
+
+/*     .. Scalar Arguments .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  SPFTRI computes the inverse of a real (symmetric) positive definite */
+/*  matrix A using the Cholesky factorization A = U**T*U or A = L*L**T */
+/*  computed by SPFTRF. */
+
+/*  Arguments */
+/*  ========= */
+
+/*  TRANSR    (input) CHARACTER */
+/*          = 'N':  The Normal TRANSR of RFP A is stored; */
+/*          = 'T':  The Transpose TRANSR of RFP A is stored. */
+
+/*  UPLO    (input) CHARACTER */
+/*          = 'U':  Upper triangle of A is stored; */
+/*          = 'L':  Lower triangle of A is stored. */
+
+/*  N       (input) INTEGER */
+/*          The order of the matrix A.  N >= 0. */
+
+/*  A       (input/output) REAL array, dimension ( N*(N+1)/2 ) */
+/*          On entry, the symmetric matrix A in RFP format. RFP format is */
+/*          described by TRANSR, UPLO, and N as follows: If TRANSR = 'N' */
+/*          then RFP A is (0:N,0:k-1) when N is even; k=N/2. RFP A is */
+/*          (0:N-1,0:k) when N is odd; k=N/2. IF TRANSR = 'T' then RFP is */
+/*          the transpose of RFP A as defined when */
+/*          TRANSR = 'N'. The contents of RFP A are defined by UPLO as */
+/*          follows: If UPLO = 'U' the RFP A contains the nt elements of */
+/*          upper packed A. If UPLO = 'L' the RFP A contains the elements */
+/*          of lower packed A. The LDA of RFP A is (N+1)/2 when TRANSR = */
+/*          'T'. When TRANSR is 'N' the LDA is N+1 when N is even and N */
+/*          is odd. See the Note below for more details. */
+
+/*          On exit, the symmetric inverse of the original matrix, in the */
+/*          same storage format. */
+
+/*  INFO    (output) INTEGER */
+/*          = 0:  successful exit */
+/*          < 0:  if INFO = -i, the i-th argument had an illegal value */
+/*          > 0:  if INFO = i, the (i,i) element of the factor U or L is */
+/*                zero, and the inverse could not be computed. */
+
+/*  Notes */
+/*  ===== */
+
+/*  We first consider Rectangular Full Packed (RFP) Format when N is */
+/*  even. We give an example where N = 6. */
+
+/*      AP is Upper             AP is Lower */
+
+/*   00 01 02 03 04 05       00 */
+/*      11 12 13 14 15       10 11 */
+/*         22 23 24 25       20 21 22 */
+/*            33 34 35       30 31 32 33 */
+/*               44 45       40 41 42 43 44 */
+/*                  55       50 51 52 53 54 55 */
+
+
+/*  Let TRANSR = 'N'. RFP holds AP as follows: */
+/*  For UPLO = 'U' the upper trapezoid A(0:5,0:2) consists of the last */
+/*  three columns of AP upper. The lower triangle A(4:6,0:2) consists of */
+/*  the transpose of the first three columns of AP upper. */
+/*  For UPLO = 'L' the lower trapezoid A(1:6,0:2) consists of the first */
+/*  three columns of AP lower. The upper triangle A(0:2,0:2) consists of */
+/*  the transpose of the last three columns of AP lower. */
+/*  This covers the case N even and TRANSR = 'N'. */
+
+/*         RFP A                   RFP A */
+
+/*        03 04 05                33 43 53 */
+/*        13 14 15                00 44 54 */
+/*        23 24 25                10 11 55 */
+/*        33 34 35                20 21 22 */
+/*        00 44 45                30 31 32 */
+/*        01 11 55                40 41 42 */
+/*        02 12 22                50 51 52 */
+
+/*  Now let TRANSR = 'T'. RFP A in both UPLO cases is just the */
+/*  transpose of RFP A above. One therefore gets: */
+
+
+/*           RFP A                   RFP A */
+
+/*     03 13 23 33 00 01 02    33 00 10 20 30 40 50 */
+/*     04 14 24 34 44 11 12    43 44 11 21 31 41 51 */
+/*     05 15 25 35 45 55 22    53 54 55 22 32 42 52 */
+
+
+/*  We first consider Rectangular Full Packed (RFP) Format when N is */
+/*  odd. We give an example where N = 5. */
+
+/*     AP is Upper                 AP is Lower */
+
+/*   00 01 02 03 04              00 */
+/*      11 12 13 14              10 11 */
+/*         22 23 24              20 21 22 */
+/*            33 34              30 31 32 33 */
+/*               44              40 41 42 43 44 */
+
+
+/*  Let TRANSR = 'N'. RFP holds AP as follows: */
+/*  For UPLO = 'U' the upper trapezoid A(0:4,0:2) consists of the last */
+/*  three columns of AP upper. The lower triangle A(3:4,0:1) consists of */
+/*  the transpose of the first two columns of AP upper. */
+/*  For UPLO = 'L' the lower trapezoid A(0:4,0:2) consists of the first */
+/*  three columns of AP lower. The upper triangle A(0:1,1:2) consists of */
+/*  the transpose of the last two columns of AP lower. */
+/*  This covers the case N odd and TRANSR = 'N'. */
+
+/*         RFP A                   RFP A */
+
+/*        02 03 04                00 33 43 */
+/*        12 13 14                10 11 44 */
+/*        22 23 24                20 21 22 */
+/*        00 33 34                30 31 32 */
+/*        01 11 44                40 41 42 */
+
+/*  Now let TRANSR = 'T'. RFP A in both UPLO cases is just the */
+/*  transpose of RFP A above. One therefore gets: */
+
+/*           RFP A                   RFP A */
+
+/*     02 12 22 00 01             00 10 20 30 40 50 */
+/*     03 13 23 33 11             33 11 21 31 41 51 */
+/*     04 14 24 34 44             43 44 22 32 42 52 */
+
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. External Functions .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+/*     Test the input parameters. */
+
+    *info = 0;
+    normaltransr = lsame_(transr, "N");
+    lower = lsame_(uplo, "L");
+    if (! normaltransr && ! lsame_(transr, "T")) {
+	*info = -1;
+    } else if (! lower && ! lsame_(uplo, "U")) {
+	*info = -2;
+    } else if (*n < 0) {
+	*info = -3;
+    }
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("SPFTRI", &i__1);
+	return 0;
+    }
+
+/*     Quick return if possible */
+
+    if (*n == 0) {
+	return 0;
+    }
+
+/*     Invert the triangular Cholesky factor U or L. */
+
+    stftri_(transr, uplo, "N", n, a, info);
+    if (*info > 0) {
+	return 0;
+    }
+
+/*     If N is odd, set NISODD = .TRUE. */
+/*     If N is even, set K = N/2 and NISODD = .FALSE. */
+
+    if (*n % 2 == 0) {
+	k = *n / 2;
+	nisodd = FALSE_;
+    } else {
+	nisodd = TRUE_;
+    }
+
+/*     Set N1 and N2 depending on LOWER */
+
+    if (lower) {
+	n2 = *n / 2;
+	n1 = *n - n2;
+    } else {
+	n1 = *n / 2;
+	n2 = *n - n1;
+    }
+
+/*     Start execution of triangular matrix multiply: inv(U)*inv(U)^C or */
+/*     inv(L)^C*inv(L). There are eight cases. */
+
+    if (nisodd) {
+
+/*        N is odd */
+
+	if (normaltransr) {
+
+/*           N is odd and TRANSR = 'N' */
+
+	    if (lower) {
+
+/*              SRPA for LOWER, NORMAL and N is odd ( a(0:n-1,0:N1-1) ) */
+/*              T1 -> a(0,0), T2 -> a(0,1), S -> a(N1,0) */
+/*              T1 -> a(0), T2 -> a(n), S -> a(N1) */
+
+		slauum_("L", &n1, a, n, info);
+		ssyrk_("L", "T", &n1, &n2, &c_b11, &a[n1], n, &c_b11, a, n);
+		strmm_("L", "U", "N", "N", &n2, &n1, &c_b11, &a[*n], n, &a[n1]
+, n);
+		slauum_("U", &n2, &a[*n], n, info);
+
+	    } else {
+
+/*              SRPA for UPPER, NORMAL and N is odd ( a(0:n-1,0:N2-1) */
+/*              T1 -> a(N1+1,0), T2 -> a(N1,0), S -> a(0,0) */
+/*              T1 -> a(N2), T2 -> a(N1), S -> a(0) */
+
+		slauum_("L", &n1, &a[n2], n, info);
+		ssyrk_("L", "N", &n1, &n2, &c_b11, a, n, &c_b11, &a[n2], n);
+		strmm_("R", "U", "T", "N", &n1, &n2, &c_b11, &a[n1], n, a, n);
+		slauum_("U", &n2, &a[n1], n, info);
+
+	    }
+
+	} else {
+
+/*           N is odd and TRANSR = 'T' */
+
+	    if (lower) {
+
+/*              SRPA for LOWER, TRANSPOSE, and N is odd */
+/*              T1 -> a(0), T2 -> a(1), S -> a(0+N1*N1) */
+
+		slauum_("U", &n1, a, &n1, info);
+		ssyrk_("U", "N", &n1, &n2, &c_b11, &a[n1 * n1], &n1, &c_b11, 
+			a, &n1);
+		strmm_("R", "L", "N", "N", &n1, &n2, &c_b11, &a[1], &n1, &a[
+			n1 * n1], &n1);
+		slauum_("L", &n2, &a[1], &n1, info);
+
+	    } else {
+
+/*              SRPA for UPPER, TRANSPOSE, and N is odd */
+/*              T1 -> a(0+N2*N2), T2 -> a(0+N1*N2), S -> a(0) */
+
+		slauum_("U", &n1, &a[n2 * n2], &n2, info);
+		ssyrk_("U", "T", &n1, &n2, &c_b11, a, &n2, &c_b11, &a[n2 * n2]
+, &n2);
+		strmm_("L", "L", "T", "N", &n2, &n1, &c_b11, &a[n1 * n2], &n2, 
+			 a, &n2);
+		slauum_("L", &n2, &a[n1 * n2], &n2, info);
+
+	    }
+
+	}
+
+    } else {
+
+/*        N is even */
+
+	if (normaltransr) {
+
+/*           N is even and TRANSR = 'N' */
+
+	    if (lower) {
+
+/*              SRPA for LOWER, NORMAL, and N is even ( a(0:n,0:k-1) ) */
+/*              T1 -> a(1,0), T2 -> a(0,0), S -> a(k+1,0) */
+/*              T1 -> a(1), T2 -> a(0), S -> a(k+1) */
+
+		i__1 = *n + 1;
+		slauum_("L", &k, &a[1], &i__1, info);
+		i__1 = *n + 1;
+		i__2 = *n + 1;
+		ssyrk_("L", "T", &k, &k, &c_b11, &a[k + 1], &i__1, &c_b11, &a[
+			1], &i__2);
+		i__1 = *n + 1;
+		i__2 = *n + 1;
+		strmm_("L", "U", "N", "N", &k, &k, &c_b11, a, &i__1, &a[k + 1]
+, &i__2);
+		i__1 = *n + 1;
+		slauum_("U", &k, a, &i__1, info);
+
+	    } else {
+
+/*              SRPA for UPPER, NORMAL, and N is even ( a(0:n,0:k-1) ) */
+/*              T1 -> a(k+1,0) ,  T2 -> a(k,0),   S -> a(0,0) */
+/*              T1 -> a(k+1), T2 -> a(k), S -> a(0) */
+
+		i__1 = *n + 1;
+		slauum_("L", &k, &a[k + 1], &i__1, info);
+		i__1 = *n + 1;
+		i__2 = *n + 1;
+		ssyrk_("L", "N", &k, &k, &c_b11, a, &i__1, &c_b11, &a[k + 1], 
+			&i__2);
+		i__1 = *n + 1;
+		i__2 = *n + 1;
+		strmm_("R", "U", "T", "N", &k, &k, &c_b11, &a[k], &i__1, a, &
+			i__2);
+		i__1 = *n + 1;
+		slauum_("U", &k, &a[k], &i__1, info);
+
+	    }
+
+	} else {
+
+/*           N is even and TRANSR = 'T' */
+
+	    if (lower) {
+
+/*              SRPA for LOWER, TRANSPOSE, and N is even (see paper) */
+/*              T1 -> B(0,1), T2 -> B(0,0), S -> B(0,k+1), */
+/*              T1 -> a(0+k), T2 -> a(0+0), S -> a(0+k*(k+1)); lda=k */
+
+		slauum_("U", &k, &a[k], &k, info);
+		ssyrk_("U", "N", &k, &k, &c_b11, &a[k * (k + 1)], &k, &c_b11, 
+			&a[k], &k);
+		strmm_("R", "L", "N", "N", &k, &k, &c_b11, a, &k, &a[k * (k + 
+			1)], &k);
+		slauum_("L", &k, a, &k, info);
+
+	    } else {
+
+/*              SRPA for UPPER, TRANSPOSE, and N is even (see paper) */
+/*              T1 -> B(0,k+1),     T2 -> B(0,k),   S -> B(0,0), */
+/*              T1 -> a(0+k*(k+1)), T2 -> a(0+k*k), S -> a(0+0)); lda=k */
+
+		slauum_("U", &k, &a[k * (k + 1)], &k, info);
+		ssyrk_("U", "T", &k, &k, &c_b11, a, &k, &c_b11, &a[k * (k + 1)
+			], &k);
+		strmm_("L", "L", "T", "N", &k, &k, &c_b11, &a[k * k], &k, a, &
+			k);
+		slauum_("L", &k, &a[k * k], &k, info);
+
+	    }
+
+	}
+
+    }
+
+    return 0;
+
+/*     End of SPFTRI */
+
+} /* spftri_ */