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updated 3rd party libs: CLapack 3.1.1.1 => 3.2.1, zlib 1.2.3 => 1.2.5, libpng 1.2.x => 1.4.3, libtiff 3.7.x => 3.9.4. fixed many 64-bit related VS2010 warnings

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Vadim Pisarevsky
2010-07-16 12:54:53 +00:00
parent 0c9eca7922
commit f78a3b4cc1
465 changed files with 51856 additions and 41344 deletions
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357
3rdparty/lapack/dsytri.c vendored
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@@ -1,97 +1,124 @@
/* dsytri.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 "clapack.h"
/* Table of constant values */
static integer c__1 = 1;
static doublereal c_b11 = -1.;
static doublereal c_b13 = 0.;
/* Subroutine */ int dsytri_(char *uplo, integer *n, doublereal *a, integer *
lda, integer *ipiv, doublereal *work, integer *info)
{
/* -- LAPACK routine (version 3.0) --
Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
Courant Institute, Argonne National Lab, and Rice University
March 31, 1993
Purpose
=======
DSYTRI computes the inverse of a real symmetric indefinite matrix
A using the factorization A = U*D*U**T or A = L*D*L**T computed by
DSYTRF.
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.
A (input/output) DOUBLE PRECISION array, dimension (LDA,N)
On entry, the block diagonal matrix D and the multipliers
used to obtain the factor U or L as computed by DSYTRF.
On exit, if INFO = 0, the (symmetric) inverse of the original
matrix. If UPLO = 'U', the upper triangular part of the
inverse is formed and the part of A below the diagonal is not
referenced; if UPLO = 'L' the lower triangular part of the
inverse is formed and the part of A above the diagonal is
not referenced.
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 DSYTRF.
WORK (workspace) DOUBLE PRECISION 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.
=====================================================================
Test the input parameters.
Parameter adjustments */
/* Table of constant values */
static integer c__1 = 1;
static doublereal c_b11 = -1.;
static doublereal c_b13 = 0.;
/* System generated locals */
integer a_dim1, a_offset, i__1;
doublereal d__1;
/* Local variables */
doublereal d__;
integer k;
doublereal t, ak;
integer kp;
doublereal akp1;
extern doublereal ddot_(integer *, doublereal *, integer *, doublereal *,
integer *);
static doublereal temp, akkp1, d__;
static integer k;
static doublereal t;
doublereal temp, akkp1;
extern logical lsame_(char *, char *);
extern /* Subroutine */ int dcopy_(integer *, doublereal *, integer *,
doublereal *, integer *), dswap_(integer *, doublereal *, integer
*, doublereal *, integer *);
static integer kstep;
static logical upper;
integer kstep;
logical upper;
extern /* Subroutine */ int dsymv_(char *, integer *, doublereal *,
doublereal *, integer *, doublereal *, integer *, doublereal *,
doublereal *, integer *);
static doublereal ak;
static integer kp;
extern /* Subroutine */ int xerbla_(char *, integer *);
static doublereal akp1;
#define a_ref(a_1,a_2) a[(a_2)*a_dim1 + a_1]
doublereal *, integer *), xerbla_(char *, integer *);
/* -- LAPACK routine (version 3.2) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* DSYTRI computes the inverse of a real symmetric indefinite matrix */
/* A using the factorization A = U*D*U**T or A = L*D*L**T computed by */
/* DSYTRF. */
/* 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. */
/* A (input/output) DOUBLE PRECISION array, dimension (LDA,N) */
/* On entry, the block diagonal matrix D and the multipliers */
/* used to obtain the factor U or L as computed by DSYTRF. */
/* On exit, if INFO = 0, the (symmetric) inverse of the original */
/* matrix. If UPLO = 'U', the upper triangular part of the */
/* inverse is formed and the part of A below the diagonal is not */
/* referenced; if UPLO = 'L' the lower triangular part of the */
/* inverse is formed and the part of A above the diagonal is */
/* not referenced. */
/* 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 DSYTRF. */
/* WORK (workspace) DOUBLE PRECISION 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 */
a_dim1 = *lda;
a_offset = 1 + a_dim1 * 1;
a_offset = 1 + a_dim1;
a -= a_offset;
--ipiv;
--work;
@@ -125,7 +152,7 @@
/* Upper triangular storage: examine D from bottom to top */
for (*info = *n; *info >= 1; --(*info)) {
if (ipiv[*info] > 0 && a_ref(*info, *info) == 0.) {
if (ipiv[*info] > 0 && a[*info + *info * a_dim1] == 0.) {
return 0;
}
/* L10: */
@@ -136,7 +163,7 @@
i__1 = *n;
for (*info = 1; *info <= i__1; ++(*info)) {
if (ipiv[*info] > 0 && a_ref(*info, *info) == 0.) {
if (ipiv[*info] > 0 && a[*info + *info * a_dim1] == 0.) {
return 0;
}
/* L20: */
@@ -146,10 +173,10 @@
if (upper) {
/* Compute inv(A) from the factorization A = U*D*U'.
/* 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 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;
L30:
@@ -162,62 +189,63 @@ L30:
if (ipiv[k] > 0) {
/* 1 x 1 diagonal block
/* 1 x 1 diagonal block */
Invert the diagonal block. */
/* Invert the diagonal block. */
a_ref(k, k) = 1. / a_ref(k, k);
a[k + k * a_dim1] = 1. / a[k + k * a_dim1];
/* Compute column K of the inverse. */
if (k > 1) {
i__1 = k - 1;
dcopy_(&i__1, &a_ref(1, k), &c__1, &work[1], &c__1);
dcopy_(&i__1, &a[k * a_dim1 + 1], &c__1, &work[1], &c__1);
i__1 = k - 1;
dsymv_(uplo, &i__1, &c_b11, &a[a_offset], lda, &work[1], &
c__1, &c_b13, &a_ref(1, k), &c__1);
c__1, &c_b13, &a[k * a_dim1 + 1], &c__1);
i__1 = k - 1;
a_ref(k, k) = a_ref(k, k) - ddot_(&i__1, &work[1], &c__1, &
a_ref(1, k), &c__1);
a[k + k * a_dim1] -= ddot_(&i__1, &work[1], &c__1, &a[k *
a_dim1 + 1], &c__1);
}
kstep = 1;
} else {
/* 2 x 2 diagonal block
/* 2 x 2 diagonal block */
Invert the diagonal block. */
/* Invert the diagonal block. */
t = (d__1 = a_ref(k, k + 1), abs(d__1));
ak = a_ref(k, k) / t;
akp1 = a_ref(k + 1, k + 1) / t;
akkp1 = a_ref(k, k + 1) / t;
t = (d__1 = a[k + (k + 1) * a_dim1], abs(d__1));
ak = a[k + k * a_dim1] / t;
akp1 = a[k + 1 + (k + 1) * a_dim1] / t;
akkp1 = a[k + (k + 1) * a_dim1] / t;
d__ = t * (ak * akp1 - 1.);
a_ref(k, k) = akp1 / d__;
a_ref(k + 1, k + 1) = ak / d__;
a_ref(k, k + 1) = -akkp1 / d__;
a[k + k * a_dim1] = akp1 / d__;
a[k + 1 + (k + 1) * a_dim1] = ak / d__;
a[k + (k + 1) * a_dim1] = -akkp1 / d__;
/* Compute columns K and K+1 of the inverse. */
if (k > 1) {
i__1 = k - 1;
dcopy_(&i__1, &a_ref(1, k), &c__1, &work[1], &c__1);
dcopy_(&i__1, &a[k * a_dim1 + 1], &c__1, &work[1], &c__1);
i__1 = k - 1;
dsymv_(uplo, &i__1, &c_b11, &a[a_offset], lda, &work[1], &
c__1, &c_b13, &a_ref(1, k), &c__1);
c__1, &c_b13, &a[k * a_dim1 + 1], &c__1);
i__1 = k - 1;
a_ref(k, k) = a_ref(k, k) - ddot_(&i__1, &work[1], &c__1, &
a_ref(1, k), &c__1);
a[k + k * a_dim1] -= ddot_(&i__1, &work[1], &c__1, &a[k *
a_dim1 + 1], &c__1);
i__1 = k - 1;
a_ref(k, k + 1) = a_ref(k, k + 1) - ddot_(&i__1, &a_ref(1, k),
&c__1, &a_ref(1, k + 1), &c__1);
a[k + (k + 1) * a_dim1] -= ddot_(&i__1, &a[k * a_dim1 + 1], &
c__1, &a[(k + 1) * a_dim1 + 1], &c__1);
i__1 = k - 1;
dcopy_(&i__1, &a_ref(1, k + 1), &c__1, &work[1], &c__1);
dcopy_(&i__1, &a[(k + 1) * a_dim1 + 1], &c__1, &work[1], &
c__1);
i__1 = k - 1;
dsymv_(uplo, &i__1, &c_b11, &a[a_offset], lda, &work[1], &
c__1, &c_b13, &a_ref(1, k + 1), &c__1);
c__1, &c_b13, &a[(k + 1) * a_dim1 + 1], &c__1);
i__1 = k - 1;
a_ref(k + 1, k + 1) = a_ref(k + 1, k + 1) - ddot_(&i__1, &
work[1], &c__1, &a_ref(1, k + 1), &c__1);
a[k + 1 + (k + 1) * a_dim1] -= ddot_(&i__1, &work[1], &c__1, &
a[(k + 1) * a_dim1 + 1], &c__1);
}
kstep = 2;
}
@@ -225,20 +253,22 @@ L30:
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) */
/* Interchange rows and columns K and KP in the leading */
/* submatrix A(1:k+1,1:k+1) */
i__1 = kp - 1;
dswap_(&i__1, &a_ref(1, k), &c__1, &a_ref(1, kp), &c__1);
dswap_(&i__1, &a[k * a_dim1 + 1], &c__1, &a[kp * a_dim1 + 1], &
c__1);
i__1 = k - kp - 1;
dswap_(&i__1, &a_ref(kp + 1, k), &c__1, &a_ref(kp, kp + 1), lda);
temp = a_ref(k, k);
a_ref(k, k) = a_ref(kp, kp);
a_ref(kp, kp) = temp;
dswap_(&i__1, &a[kp + 1 + k * a_dim1], &c__1, &a[kp + (kp + 1) *
a_dim1], lda);
temp = a[k + k * a_dim1];
a[k + k * a_dim1] = a[kp + kp * a_dim1];
a[kp + kp * a_dim1] = temp;
if (kstep == 2) {
temp = a_ref(k, k + 1);
a_ref(k, k + 1) = a_ref(kp, k + 1);
a_ref(kp, k + 1) = temp;
temp = a[k + (k + 1) * a_dim1];
a[k + (k + 1) * a_dim1] = a[kp + (k + 1) * a_dim1];
a[kp + (k + 1) * a_dim1] = temp;
}
}
@@ -249,10 +279,10 @@ L40:
;
} else {
/* Compute inv(A) from the factorization A = L*D*L'.
/* 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. */
/* 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 = *n;
L50:
@@ -265,64 +295,66 @@ L50:
if (ipiv[k] > 0) {
/* 1 x 1 diagonal block
/* 1 x 1 diagonal block */
Invert the diagonal block. */
/* Invert the diagonal block. */
a_ref(k, k) = 1. / a_ref(k, k);
a[k + k * a_dim1] = 1. / a[k + k * a_dim1];
/* Compute column K of the inverse. */
if (k < *n) {
i__1 = *n - k;
dcopy_(&i__1, &a_ref(k + 1, k), &c__1, &work[1], &c__1);
dcopy_(&i__1, &a[k + 1 + k * a_dim1], &c__1, &work[1], &c__1);
i__1 = *n - k;
dsymv_(uplo, &i__1, &c_b11, &a_ref(k + 1, k + 1), lda, &work[
1], &c__1, &c_b13, &a_ref(k + 1, k), &c__1)
;
dsymv_(uplo, &i__1, &c_b11, &a[k + 1 + (k + 1) * a_dim1], lda,
&work[1], &c__1, &c_b13, &a[k + 1 + k * a_dim1], &
c__1);
i__1 = *n - k;
a_ref(k, k) = a_ref(k, k) - ddot_(&i__1, &work[1], &c__1, &
a_ref(k + 1, k), &c__1);
a[k + k * a_dim1] -= ddot_(&i__1, &work[1], &c__1, &a[k + 1 +
k * a_dim1], &c__1);
}
kstep = 1;
} else {
/* 2 x 2 diagonal block
/* 2 x 2 diagonal block */
Invert the diagonal block. */
/* Invert the diagonal block. */
t = (d__1 = a_ref(k, k - 1), abs(d__1));
ak = a_ref(k - 1, k - 1) / t;
akp1 = a_ref(k, k) / t;
akkp1 = a_ref(k, k - 1) / t;
t = (d__1 = a[k + (k - 1) * a_dim1], abs(d__1));
ak = a[k - 1 + (k - 1) * a_dim1] / t;
akp1 = a[k + k * a_dim1] / t;
akkp1 = a[k + (k - 1) * a_dim1] / t;
d__ = t * (ak * akp1 - 1.);
a_ref(k - 1, k - 1) = akp1 / d__;
a_ref(k, k) = ak / d__;
a_ref(k, k - 1) = -akkp1 / d__;
a[k - 1 + (k - 1) * a_dim1] = akp1 / d__;
a[k + k * a_dim1] = ak / d__;
a[k + (k - 1) * a_dim1] = -akkp1 / d__;
/* Compute columns K-1 and K of the inverse. */
if (k < *n) {
i__1 = *n - k;
dcopy_(&i__1, &a_ref(k + 1, k), &c__1, &work[1], &c__1);
dcopy_(&i__1, &a[k + 1 + k * a_dim1], &c__1, &work[1], &c__1);
i__1 = *n - k;
dsymv_(uplo, &i__1, &c_b11, &a_ref(k + 1, k + 1), lda, &work[
1], &c__1, &c_b13, &a_ref(k + 1, k), &c__1)
;
dsymv_(uplo, &i__1, &c_b11, &a[k + 1 + (k + 1) * a_dim1], lda,
&work[1], &c__1, &c_b13, &a[k + 1 + k * a_dim1], &
c__1);
i__1 = *n - k;
a_ref(k, k) = a_ref(k, k) - ddot_(&i__1, &work[1], &c__1, &
a_ref(k + 1, k), &c__1);
a[k + k * a_dim1] -= ddot_(&i__1, &work[1], &c__1, &a[k + 1 +
k * a_dim1], &c__1);
i__1 = *n - k;
a_ref(k, k - 1) = a_ref(k, k - 1) - ddot_(&i__1, &a_ref(k + 1,
k), &c__1, &a_ref(k + 1, k - 1), &c__1);
a[k + (k - 1) * a_dim1] -= ddot_(&i__1, &a[k + 1 + k * a_dim1]
, &c__1, &a[k + 1 + (k - 1) * a_dim1], &c__1);
i__1 = *n - k;
dcopy_(&i__1, &a_ref(k + 1, k - 1), &c__1, &work[1], &c__1);
dcopy_(&i__1, &a[k + 1 + (k - 1) * a_dim1], &c__1, &work[1], &
c__1);
i__1 = *n - k;
dsymv_(uplo, &i__1, &c_b11, &a_ref(k + 1, k + 1), lda, &work[
1], &c__1, &c_b13, &a_ref(k + 1, k - 1), &c__1);
dsymv_(uplo, &i__1, &c_b11, &a[k + 1 + (k + 1) * a_dim1], lda,
&work[1], &c__1, &c_b13, &a[k + 1 + (k - 1) * a_dim1]
, &c__1);
i__1 = *n - k;
a_ref(k - 1, k - 1) = a_ref(k - 1, k - 1) - ddot_(&i__1, &
work[1], &c__1, &a_ref(k + 1, k - 1), &c__1);
a[k - 1 + (k - 1) * a_dim1] -= ddot_(&i__1, &work[1], &c__1, &
a[k + 1 + (k - 1) * a_dim1], &c__1);
}
kstep = 2;
}
@@ -330,23 +362,24 @@ L50:
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) */
/* Interchange rows and columns K and KP in the trailing */
/* submatrix A(k-1:n,k-1:n) */
if (kp < *n) {
i__1 = *n - kp;
dswap_(&i__1, &a_ref(kp + 1, k), &c__1, &a_ref(kp + 1, kp), &
c__1);
dswap_(&i__1, &a[kp + 1 + k * a_dim1], &c__1, &a[kp + 1 + kp *
a_dim1], &c__1);
}
i__1 = kp - k - 1;
dswap_(&i__1, &a_ref(k + 1, k), &c__1, &a_ref(kp, k + 1), lda);
temp = a_ref(k, k);
a_ref(k, k) = a_ref(kp, kp);
a_ref(kp, kp) = temp;
dswap_(&i__1, &a[k + 1 + k * a_dim1], &c__1, &a[kp + (k + 1) *
a_dim1], lda);
temp = a[k + k * a_dim1];
a[k + k * a_dim1] = a[kp + kp * a_dim1];
a[kp + kp * a_dim1] = temp;
if (kstep == 2) {
temp = a_ref(k, k - 1);
a_ref(k, k - 1) = a_ref(kp, k - 1);
a_ref(kp, k - 1) = temp;
temp = a[k + (k - 1) * a_dim1];
a[k + (k - 1) * a_dim1] = a[kp + (k - 1) * a_dim1];
a[kp + (k - 1) * a_dim1] = temp;
}
}
@@ -361,7 +394,3 @@ L60:
/* End of DSYTRI */
} /* dsytri_ */
#undef a_ref