/* lmder1.f -- translated by f2c (version 20030306). You must link the resulting object file with the libraries: -lf2c -lm (in that order) */ #include "f2c.h" /* Subroutine */ int lmder1_(U_fp fcn, integer *m, integer *n, doublereal *x, doublereal *fvec, doublereal *fjac, integer *ldfjac, doublereal *tol, integer *info, integer *ipvt, doublereal *wa, integer *lwa) { /* Initialized data */ static doublereal factor = 100.; static doublereal zero = 0.; /* System generated locals */ integer fjac_dim1, fjac_offset; /* Local variables */ static integer mode, nfev, njev; static doublereal ftol, gtol, xtol; extern /* Subroutine */ int lmder_(U_fp, integer *, integer *, doublereal *, doublereal *, doublereal *, integer *, doublereal *, doublereal *, doublereal *, integer *, doublereal *, integer *, doublereal *, integer *, integer *, integer *, integer *, integer *, doublereal *, doublereal *, doublereal *, doublereal *, doublereal *); static integer maxfev, nprint; /* ********** */ /* 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 */ /* ********** */ /* Parameter adjustments */ --fvec; --ipvt; --x; fjac_dim1 = *ldfjac; fjac_offset = 1 + fjac_dim1; fjac -= fjac_offset; --wa; /* Function Body */ *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 = (*n + 1) * 100; ftol = *tol; xtol = *tol; gtol = zero; mode = 1; nprint = 0; lmder_((U_fp)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]); if (*info == 8) { *info = 4; } L10: return 0; /* last card of subroutine lmder1. */ } /* lmder1_ */

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