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lmdif1.c
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lmdif1.c
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#include "cminpack.h"
#include "cminpackP.h"
__cminpack_attr__
int __cminpack_func__(lmdif1)(__cminpack_decl_fcn_mn__ void *p, int m, int n, real *x,
real *fvec, real tol, int *iwa,
real *wa, int lwa)
{
/* Initialized data */
const real factor = 100.;
int mp5n, mode, nfev;
real ftol, gtol, xtol;
real epsfcn;
int maxfev, nprint;
int info;
/* ********** */
/* subroutine lmdif1 */
/* the purpose of lmdif1 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 lmdif. the user must provide a */
/* subroutine which calculates the functions. the jacobian is */
/* then calculated by a forward-difference approximation. */
/* the subroutine statement is */
/* subroutine lmdif1(fcn,m,n,x,fvec,tol,info,iwa,wa,lwa) */
/* 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 lmdif1. */
/* 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. */
/* 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 has reached or */
/* exceeded 200*(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. */
/* iwa is an integer work array of length n. */
/* wa is a work array of length lwa. */
/* lwa is a positive integer input variable not less than */
/* m*n+5*n+m. */
/* subprograms called */
/* user-supplied ...... fcn */
/* minpack-supplied ... lmdif */
/* argonne national laboratory. minpack project. march 1980. */
/* burton s. garbow, kenneth e. hillstrom, jorge j. more */
/* ********** */
/* check the input parameters for errors. */
if (n <= 0 || m < n || tol < 0. || lwa < m * n + n * 5 + m) {
return 0;
}
/* call lmdif. */
maxfev = (n + 1) * 200;
ftol = tol;
xtol = tol;
gtol = 0.;
epsfcn = 0.;
mode = 1;
nprint = 0;
mp5n = m + n * 5;
info = __cminpack_func__(lmdif)(__cminpack_param_fcn_mn__ p, m, n, x, fvec, ftol, xtol, gtol, maxfev,
epsfcn, wa, mode, factor, nprint, &nfev, &wa[mp5n],
m, iwa, &wa[n], &wa[(n << 1)], &wa[n * 3],
&wa[(n << 2)], &wa[n * 5]);
if (info == 8) {
info = 4;
}
return info;
/* last card of subroutine lmdif1. */
} /* lmdif1_ */