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/* linpack/dpodi.f -- translated by f2c (version 20050501).
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
*/
#ifdef __cplusplus
extern "C" {
#endif
#include "v3p_netlib.h"
/* Table of constant values */
static integer c__1 = 1;
/*< subroutine dpodi(a,lda,n,det,job) >*/
/* Subroutine */ int dpodi_(doublereal *a, integer *lda, integer *n,
doublereal *det, integer *job)
{
/* System generated locals */
integer a_dim1, a_offset, i__1, i__2;
doublereal d__1;
/* Local variables */
integer i__, j, k;
doublereal s, t;
integer jm1, kp1;
extern /* Subroutine */ int dscal_(integer *, doublereal *, doublereal *,
integer *), daxpy_(integer *, doublereal *, doublereal *, integer
*, doublereal *, integer *);
/*< integer lda,n,job >*/
/*< double precision a(lda,1) >*/
/*< double precision det(2) >*/
/* dpodi computes the determinant and inverse of a certain */
/* double precision symmetric positive definite matrix (see below) */
/* using the factors computed by dpoco, dpofa or dqrdc. */
/* on entry */
/* a double precision(lda, n) */
/* the output a from dpoco or dpofa */
/* or the output x from dqrdc. */
/* lda integer */
/* the leading dimension of the array a . */
/* n integer */
/* the order of the matrix a . */
/* job integer */
/* = 11 both determinant and inverse. */
/* = 01 inverse only. */
/* = 10 determinant only. */
/* on return */
/* a if dpoco or dpofa was used to factor a then */
/* dpodi produces the upper half of inverse(a) . */
/* if dqrdc was used to decompose x then */
/* dpodi produces the upper half of inverse(trans(x)*x) */
/* where trans(x) is the transpose. */
/* elements of a below the diagonal are unchanged. */
/* if the units digit of job is zero, a is unchanged. */
/* det double precision(2) */
/* determinant of a or of trans(x)*x if requested. */
/* otherwise not referenced. */
/* determinant = det(1) * 10.0**det(2) */
/* with 1.0 .le. det(1) .lt. 10.0 */
/* or det(1) .eq. 0.0 . */
/* error condition */
/* a division by zero will occur if the input factor contains */
/* a zero on the diagonal and the inverse is requested. */
/* it will not occur if the subroutines are called correctly */
/* and if dpoco or dpofa has set info .eq. 0 . */
/* linpack. this version dated 08/14/78 . */
/* cleve moler, university of new mexico, argonne national lab. */
/* subroutines and functions */
/* blas daxpy,dscal */
/* fortran mod */
/* internal variables */
/*< double precision t >*/
/*< double precision s >*/
/*< integer i,j,jm1,k,kp1 >*/
/* compute determinant */
/*< if (job/10 .eq. 0) go to 70 >*/
/* Parameter adjustments */
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
--det;
/* Function Body */
if (*job / 10 == 0) {
goto L70;
}
/*< det(1) = 1.0d0 >*/
det[1] = 1.;
/*< det(2) = 0.0d0 >*/
det[2] = 0.;
/*< s = 10.0d0 >*/
s = 10.;
/*< do 50 i = 1, n >*/
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
/*< det(1) = a(i,i)**2*det(1) >*/
/* Computing 2nd power */
d__1 = a[i__ + i__ * a_dim1];
det[1] = d__1 * d__1 * det[1];
/* ...exit */
/*< if (det(1) .eq. 0.0d0) go to 60 >*/
if (det[1] == 0.) {
goto L60;
}
/*< 10 if (det(1) .ge. 1.0d0) go to 20 >*/
L10:
if (det[1] >= 1.) {
goto L20;
}
/*< det(1) = s*det(1) >*/
det[1] = s * det[1];
/*< det(2) = det(2) - 1.0d0 >*/
det[2] += -1.;
/*< go to 10 >*/
goto L10;
/*< 20 continue >*/
L20:
/*< 30 if (det(1) .lt. s) go to 40 >*/
L30:
if (det[1] < s) {
goto L40;
}
/*< det(1) = det(1)/s >*/
det[1] /= s;
/*< det(2) = det(2) + 1.0d0 >*/
det[2] += 1.;
/*< go to 30 >*/
goto L30;
/*< 40 continue >*/
L40:
/*< 50 continue >*/
/* L50: */
;
}
/*< 60 continue >*/
L60:
/*< 70 continue >*/
L70:
/* compute inverse(r) */
/*< if (mod(job,10) .eq. 0) go to 140 >*/
if (*job % 10 == 0) {
goto L140;
}
/*< do 100 k = 1, n >*/
i__1 = *n;
for (k = 1; k <= i__1; ++k) {
/*< a(k,k) = 1.0d0/a(k,k) >*/
a[k + k * a_dim1] = 1. / a[k + k * a_dim1];
/*< t = -a(k,k) >*/
t = -a[k + k * a_dim1];
/*< call dscal(k-1,t,a(1,k),1) >*/
i__2 = k - 1;
dscal_(&i__2, &t, &a[k * a_dim1 + 1], &c__1);
/*< kp1 = k + 1 >*/
kp1 = k + 1;
/*< if (n .lt. kp1) go to 90 >*/
if (*n < kp1) {
goto L90;
}
/*< do 80 j = kp1, n >*/
i__2 = *n;
for (j = kp1; j <= i__2; ++j) {
/*< t = a(k,j) >*/
t = a[k + j * a_dim1];
/*< a(k,j) = 0.0d0 >*/
a[k + j * a_dim1] = 0.;
/*< call daxpy(k,t,a(1,k),1,a(1,j),1) >*/
daxpy_(&k, &t, &a[k * a_dim1 + 1], &c__1, &a[j * a_dim1 + 1], &
c__1);
/*< 80 continue >*/
/* L80: */
}
/*< 90 continue >*/
L90:
/*< 100 continue >*/
/* L100: */
;
}
/* form inverse(r) * trans(inverse(r)) */
/*< do 130 j = 1, n >*/
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
/*< jm1 = j - 1 >*/
jm1 = j - 1;
/*< if (jm1 .lt. 1) go to 120 >*/
if (jm1 < 1) {
goto L120;
}
/*< do 110 k = 1, jm1 >*/
i__2 = jm1;
for (k = 1; k <= i__2; ++k) {
/*< t = a(k,j) >*/
t = a[k + j * a_dim1];
/*< call daxpy(k,t,a(1,j),1,a(1,k),1) >*/
daxpy_(&k, &t, &a[j * a_dim1 + 1], &c__1, &a[k * a_dim1 + 1], &
c__1);
/*< 110 continue >*/
/* L110: */
}
/*< 120 continue >*/
L120:
/*< t = a(j,j) >*/
t = a[j + j * a_dim1];
/*< call dscal(j,t,a(1,j),1) >*/
dscal_(&j, &t, &a[j * a_dim1 + 1], &c__1);
/*< 130 continue >*/
/* L130: */
}
/*< 140 continue >*/
L140:
/*< return >*/
return 0;
/*< end >*/
} /* dpodi_ */
#ifdef __cplusplus
}
#endif
|
