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/* minpack/fdjac2.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 fdjac2(fcn,m,n,x,fvec,fjac,ldfjac,iflag,epsfcn,wa) >*/
/* Subroutine */ int fdjac2_(
void (*fcn)(integer*,integer*,doublereal*,doublereal*,integer*,void*),
integer *m, integer *n, doublereal *x,
doublereal *fvec, doublereal *fjac, integer *ldfjac, integer *iflag,
doublereal *epsfcn, doublereal *wa, void* userdata)
{
/* Initialized data */
static doublereal zero = 0.; /* constant */
/* System generated locals */
integer fjac_dim1, fjac_offset, i__1, i__2;
/* Builtin functions */
double sqrt(doublereal);
/* Local variables */
doublereal h__;
integer i__, j;
doublereal eps, temp, epsmch;
extern doublereal dpmpar_(integer *);
/*< integer m,n,ldfjac,iflag >*/
/*< double precision epsfcn >*/
/*< double precision x(n),fvec(m),fjac(ldfjac,n),wa(m) >*/
/* ********** */
/* subroutine fdjac2 */
/* this subroutine computes a forward-difference approximation */
/* to the m by n jacobian matrix associated with a specified */
/* problem of m functions in n variables. */
/* the subroutine statement is */
/* subroutine fdjac2(fcn,m,n,x,fvec,fjac,ldfjac,iflag,epsfcn,wa) */
/* where */
/* fcn is the name of the user-supplied subroutine which */
/* calculates the functions. fcn must be declared */
/* in an external statement in the user calling */
/* program, and should be written as follows. */
/* subroutine fcn(m,n,x,fvec,iflag) */
/* integer m,n,iflag */
/* double precision x(n),fvec(m) */
/* ---------- */
/* calculate the functions at x and */
/* return this vector in fvec. */
/* ---------- */
/* return */
/* end */
/* the value of iflag should not be changed by fcn unless */
/* the user wants to terminate execution of fdjac2. */
/* in this case set iflag to a negative integer. */
/* m is a positive integer input variable set to the number */
/* of functions. */
/* n is a positive integer input variable set to the number */
/* of variables. n must not exceed m. */
/* x is an input array of length n. */
/* fvec is an input array of length m which must contain the */
/* functions evaluated at x. */
/* fjac is an output m by n array which contains the */
/* approximation to the jacobian matrix evaluated at x. */
/* ldfjac is a positive integer input variable not less than m */
/* which specifies the leading dimension of the array fjac. */
/* iflag is an integer variable which can be used to terminate */
/* the execution of fdjac2. see description of fcn. */
/* epsfcn is an input variable used in determining a suitable */
/* step length for the forward-difference approximation. this */
/* approximation assumes that the relative errors in the */
/* functions are of the order of epsfcn. if epsfcn is less */
/* than the machine precision, it is assumed that the relative */
/* errors in the functions are of the order of the machine */
/* precision. */
/* wa is a work array of length m. */
/* subprograms called */
/* user-supplied ...... fcn */
/* minpack-supplied ... dpmpar */
/* fortran-supplied ... dabs,dmax1,dsqrt */
/* argonne national laboratory. minpack project. march 1980. */
/* burton s. garbow, kenneth e. hillstrom, jorge j. more */
/* ********** */
/*< integer i,j >*/
/*< double precision eps,epsmch,h,temp,zero >*/
/*< double precision dpmpar >*/
/*< data zero /0.0d0/ >*/
/* Parameter adjustments */
--wa;
--fvec;
--x;
fjac_dim1 = *ldfjac;
fjac_offset = 1 + fjac_dim1;
fjac -= fjac_offset;
/* Function Body */
/* epsmch is the machine precision. */
/*< epsmch = dpmpar(1) >*/
epsmch = dpmpar_(&c__1);
/*< eps = dsqrt(dmax1(epsfcn,epsmch)) >*/
eps = sqrt((max(*epsfcn,epsmch)));
/*< do 20 j = 1, n >*/
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
/*< temp = x(j) >*/
temp = x[j];
/*< h = eps*dabs(temp) >*/
h__ = eps * abs(temp);
/*< if (h .eq. zero) h = eps >*/
if (h__ == zero) {
h__ = eps;
}
/*< x(j) = temp + h >*/
x[j] = temp + h__;
/*< call fcn(m,n,x,wa,iflag) >*/
(*fcn)(m, n, &x[1], &wa[1], iflag, userdata);
/*< if (iflag .lt. 0) go to 30 >*/
if (*iflag < 0) {
goto L30;
}
/*< x(j) = temp >*/
x[j] = temp;
/*< do 10 i = 1, m >*/
i__2 = *m;
for (i__ = 1; i__ <= i__2; ++i__) {
/*< fjac(i,j) = (wa(i) - fvec(i))/h >*/
fjac[i__ + j * fjac_dim1] = (wa[i__] - fvec[i__]) / h__;
/*< 10 continue >*/
/* L10: */
}
/*< 20 continue >*/
/* L20: */
}
/*< 30 continue >*/
L30:
/*< return >*/
return 0;
/* last card of subroutine fdjac2. */
/*< end >*/
} /* fdjac2_ */
#ifdef __cplusplus
}
#endif
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