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/* minpack/lmder1.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"
/*< >*/
/* Subroutine */ int lmder1_(
void (*fcn)(v3p_netlib_integer*,
v3p_netlib_integer*,
v3p_netlib_doublereal*,
v3p_netlib_doublereal*,
v3p_netlib_doublereal*,
v3p_netlib_integer*,
v3p_netlib_integer*,
void*),
integer *m, integer *n, doublereal *x,
doublereal *fvec, doublereal *fjac, integer *ldfjac, doublereal *tol,
integer *info, integer *ipvt, doublereal *wa, integer *lwa,
void* userdata)
{
/* Initialized data */
static doublereal factor = 100.; /* constant */
static doublereal zero = 0.; /* constant */
/* System generated locals */
integer fjac_dim1, fjac_offset;
/* Local variables */
integer mode, nfev, njev;
doublereal ftol, gtol, xtol;
extern /* Subroutine */ int lmder_(
void (*fcn)(v3p_netlib_integer*,
v3p_netlib_integer*,
v3p_netlib_doublereal*,
v3p_netlib_doublereal*,
v3p_netlib_doublereal*,
v3p_netlib_integer*,
v3p_netlib_integer*,
void*),
integer *, integer *, doublereal
*, doublereal *, doublereal *, integer *, doublereal *,
doublereal *, doublereal *, integer *, doublereal *, integer *,
doublereal *, integer *, integer *, integer *, integer *, integer
*, doublereal *, doublereal *, doublereal *, doublereal *,
doublereal *, void*);
integer maxfev, nprint;
/*< integer m,n,ldfjac,info,lwa >*/
/*< integer ipvt(n) >*/
/*< double precision tol >*/
/*< double precision x(n),fvec(m),fjac(ldfjac,n),wa(lwa) >*/
/*< external fcn >*/
/* ********** */
/* subroutine lmder1 */
/* the purpose of lmder1 is to minimize the sum of the squares of */
/* m nonlinear functions in n variables by a modification of the */
/* levenberg-marquardt algorithm. this is done by using the more */
/* general least-squares solver lmder. the user must provide a */
/* subroutine which calculates the functions and the jacobian. */
/* the subroutine statement is */
/* subroutine lmder1(fcn,m,n,x,fvec,fjac,ldfjac,tol,info, */
/* ipvt,wa,lwa) */
/* where */
/* fcn is the name of the user-supplied subroutine which */
/* calculates the functions and the jacobian. 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,fjac,ldfjac,iflag) */
/* integer m,n,ldfjac,iflag */
/* double precision x(n),fvec(m),fjac(ldfjac,n) */
/* ---------- */
/* if iflag = 1 calculate the functions at x and */
/* return this vector in fvec. do not alter fjac. */
/* if iflag = 2 calculate the jacobian at x and */
/* return this matrix in fjac. do not alter fvec. */
/* ---------- */
/* return */
/* end */
/* the value of iflag should not be changed by fcn unless */
/* the user wants to terminate execution of lmder1. */
/* 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 array of length n. on input x must contain */
/* an initial estimate of the solution vector. on output x */
/* contains the final estimate of the solution vector. */
/* fvec is an output array of length m which contains */
/* the functions evaluated at the output x. */
/* fjac is an output m by n array. the upper n by n submatrix */
/* of fjac contains an upper triangular matrix r with */
/* diagonal elements of nonincreasing magnitude such that */
/* t t t */
/* p *(jac *jac)*p = r *r, */
/* where p is a permutation matrix and jac is the final */
/* calculated jacobian. column j of p is column ipvt(j) */
/* (see below) of the identity matrix. the lower trapezoidal */
/* part of fjac contains information generated during */
/* the computation of r. */
/* ldfjac is a positive integer input variable not less than m */
/* which specifies the leading dimension of the array fjac. */
/* tol is a nonnegative input variable. termination occurs */
/* when the algorithm estimates either that the relative */
/* error in the sum of squares is at most tol or that */
/* the relative error between x and the solution is at */
/* most tol. */
/* info is an integer output variable. if the user has */
/* terminated execution, info is set to the (negative) */
/* value of iflag. see description of fcn. otherwise, */
/* info is set as follows. */
/* info = 0 improper input parameters. */
/* info = 1 algorithm estimates that the relative error */
/* in the sum of squares is at most tol. */
/* info = 2 algorithm estimates that the relative error */
/* between x and the solution is at most tol. */
/* info = 3 conditions for info = 1 and info = 2 both hold. */
/* info = 4 fvec is orthogonal to the columns of the */
/* jacobian to machine precision. */
/* info = 5 number of calls to fcn with iflag = 1 has */
/* reached 100*(n+1). */
/* info = 6 tol is too small. no further reduction in */
/* the sum of squares is possible. */
/* info = 7 tol is too small. no further improvement in */
/* the approximate solution x is possible. */
/* ipvt is an integer output array of length n. ipvt */
/* defines a permutation matrix p such that jac*p = q*r, */
/* where jac is the final calculated jacobian, q is */
/* orthogonal (not stored), and r is upper triangular */
/* with diagonal elements of nonincreasing magnitude. */
/* column j of p is column ipvt(j) of the identity matrix. */
/* wa is a work array of length lwa. */
/* lwa is a positive integer input variable not less than 5*n+m. */
/* subprograms called */
/* user-supplied ...... fcn */
/* minpack-supplied ... lmder */
/* argonne national laboratory. minpack project. march 1980. */
/* burton s. garbow, kenneth e. hillstrom, jorge j. more */
/* ********** */
/*< integer maxfev,mode,nfev,njev,nprint >*/
/*< double precision factor,ftol,gtol,xtol,zero >*/
/*< data factor,zero /1.0d2,0.0d0/ >*/
/* Parameter adjustments */
--fvec;
--ipvt;
--x;
fjac_dim1 = *ldfjac;
fjac_offset = 1 + fjac_dim1;
fjac -= fjac_offset;
--wa;
/* Function Body */
/*< info = 0 >*/
*info = 0;
/* check the input parameters for errors. */
/*< >*/
if (*n <= 0 || *m < *n || *ldfjac < *m || *tol < zero || *lwa < *n * 5 + *
m) {
goto L10;
}
/* call lmder. */
/*< maxfev = 100*(n + 1) >*/
maxfev = (*n + 1) * 100;
/*< ftol = tol >*/
ftol = *tol;
/*< xtol = tol >*/
xtol = *tol;
/*< gtol = zero >*/
gtol = zero;
/*< mode = 1 >*/
mode = 1;
/*< nprint = 0 >*/
nprint = 0;
/*< >*/
lmder_(fcn, m, n, &x[1], &fvec[1], &fjac[fjac_offset], ldfjac, &
ftol, &xtol, >ol, &maxfev, &wa[1], &mode, &factor, &nprint,
info, &nfev, &njev, &ipvt[1], &wa[*n + 1], &wa[(*n << 1) + 1], &
wa[*n * 3 + 1], &wa[(*n << 2) + 1], &wa[*n * 5 + 1],
userdata);
/*< if (info .eq. 8) info = 4 >*/
if (*info == 8) {
*info = 4;
}
/*< 10 continue >*/
L10:
/*< return >*/
return 0;
/* last card of subroutine lmder1. */
/*< end >*/
} /* lmder1_ */
#ifdef __cplusplus
}
#endif
|
