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-/*
- *  R : A Computer Language for Statistical Data Analysis
- *  Copyright (C) 1998-2012   Robert Gentleman, Ross Ihaka
- *                             and the R Core Team
- *
- *  This program is free software; you can redistribute it and/or modify
- *  it under the terms of the GNU Lesser General Public License as published by
- *  the Free Software Foundation; either version 2.1 of the License, or
- *  (at your option) any later version.
- *
- *  This program is distributed in the hope that it will be useful,
- *  but WITHOUT ANY WARRANTY; without even the implied warranty of
- *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
- *  GNU Lesser General Public License for more details.
- *
- *  You should have received a copy of the GNU Lesser General Public License
- *  along with this program; if not, a copy is available at
- *  http://www.r-project.org/Licenses/
- *
- *
- * Application Routines, typically implemented in  ../appl/
- * ----------------------------------------------  ========
- */
-
-/* This header file contains routines which are in the R API and ones which
-   are not.
-
-   Those which are not can be used only at the user's risk and may change
-   or disappear in a future release of R.
-*/
-
-
-#ifndef R_APPLIC_H_
-#define R_APPLIC_H_
-
-#include <R_ext/Boolean.h>
-#include <R_ext/RS.h>		/* F77_... */
-#include <R_ext/BLAS.h>
-
-#ifdef  __cplusplus
-extern "C" {
-#endif
-
-/* Entry points in the R API */
-
-/* appl/integrate.c */
-typedef void integr_fn(double *x, int n, void *ex);
-/* vectorizing function   f(x[1:n], ...) -> x[]  {overwriting x[]}. */
-
-void Rdqags(integr_fn f, void *ex, double *a, double *b,
-	    double *epsabs, double *epsrel,
-	    double *result, double *abserr, int *neval, int *ier,
-	    int *limit, int *lenw, int *last, int *iwork, double *work);
-
-void Rdqagi(integr_fn f, void *ex, double *bound, int *inf,
-	    double *epsabs, double *epsrel,
-	    double *result, double *abserr, int *neval, int *ier,
-	    int *limit, int *lenw, int *last,
-	    int *iwork, double *work);
-
-/* main/optim.c */
-typedef double optimfn(int, double *, void *);
-typedef void optimgr(int, double *, double *, void *);
-
-void vmmin(int n, double *b, double *Fmin,
-	   optimfn fn, optimgr gr, int maxit, int trace,
-	   int *mask, double abstol, double reltol, int nREPORT,
-	   void *ex, int *fncount, int *grcount, int *fail);
-void nmmin(int n, double *Bvec, double *X, double *Fmin, optimfn fn,
-	   int *fail, double abstol, double intol, void *ex,
-	   double alpha, double bet, double gamm, int trace,
-	   int *fncount, int maxit);
-void cgmin(int n, double *Bvec, double *X, double *Fmin,
-	   optimfn fn, optimgr gr,
-	   int *fail, double abstol, double intol, void *ex,
-	   int type, int trace, int *fncount, int *grcount, int maxit);
-void lbfgsb(int n, int m, double *x, double *l, double *u, int *nbd,
-	    double *Fmin, optimfn fn, optimgr gr, int *fail, void *ex,
-	    double factr, double pgtol, int *fncount, int *grcount,
-	    int maxit, char *msg, int trace, int nREPORT);
-void samin(int n, double *pb, double *yb, optimfn fn, int maxit,
-	   int tmax, double ti, int trace, void *ex);
-
-
-
-/* Entry points NOT in the R API */
-
-/* appl/bakslv.c : hidden */
-void bakslv(double *, int *, int *,
-	    double *, int *, int *,
-	    double *, int *, int *);
-
-/* appl/binning.c : hidden */
-void bincode (double *x, int *n, double *breaks, int *nb,
-	      int *code, int *right, int *include_border, int *naok);
-void bincount(double *x, int *n, double *breaks, int *nb, int *count,
-	      int *right, int *include_border, int *naok);
-
-/* appl/ch2inv.f */
-void F77_NAME(ch2inv)(double *x, int *ldx, int *n, double *v, int *info);
-
-/* appl/chol.f Used in nlme */
-void F77_NAME(chol)(double *a, int *lda, int *n, double *v, int *info);
-
-/* appl/cpoly.c : hidden */
-void R_cpolyroot(double *opr, double *opi, int *degree,
-		 double *zeror, double *zeroi, Rboolean *fail);
-/* More `Complex Polynomial Utilities' could be exported:
-
-   polyev(...)
-   errev(...)
-   cpoly_cauchy(...)
-   cpoly_scale(...)
-   cdivid(...)
-*/
-
-
-/* appl/cumsum.c : non-API, used in package DCluster */
-void R_cumsum(double *, int *, double *, double *);
-
-/* appl/eigen.f */
-int F77_NAME(cg)(int *nm, int *n, double *ar, double *ai,
-		 double *wr, double *wi, int *matz, double *zr, double *zi,
-		 double *fv1, double *fv2, double *fv3, int *ierr);
-int F77_NAME(ch)(int *nm, int *n, double *ar, double *ai,
-		 double *w, int *matz, double *zr, double *zi,
-		 double *fv1, double *fv2, double *fm1, int *ierr);
-int F77_NAME(rg)(int *nm, int *n, double *a, double *wr, double *wi,
-		 int *matz, double *z, int *iv1, double *fv1, int *ierr);
-/* used in nlme */
-int F77_NAME(rs)(int *nm, int *n, double *a, double *w,
-		 int *matz, double *z, double *fv1, double *fv2, int *ierr);
-
-/* appl/fft.c */
-/* NOTE:  The following functions use GLOBAL (static) variables !!
- * ----   some of R-core think that this should be changed,
- *        which will INEVITABLY extend the argument lists ...!
- */
-/* non-API, but used by package RandomFields */
-void fft_factor(int n, int *pmaxf, int *pmaxp);
-Rboolean fft_work(double *a, double *b, int nseg, int n, int nspn,
-/* TRUE: success */ int isn, double *work, int *iwork);
-
-/* appl/fmin.c : */
-double Brent_fmin(double ax, double bx, double (*f)(double, void *),
-		  void *info, double tol);
-
-/* appl/interv.c: also in Utils.h */
-/* used in packages gam and mda */
-int F77_SUB(interv)(double *xt, int *n, double *x,
-		    Rboolean *rightmost_closed, Rboolean *all_inside,
-		    int *ilo, int *mflag);
-/* Non-API No longer used */
-void find_interv_vec(double *xt, int *n, double *x, int *nx,
-		     int *rightmost_closed, int *all_inside, int *indx);
-/* API, used in package eco */
-int findInterval(double *xt, int n, double x,
-		 Rboolean rightmost_closed,  Rboolean all_inside, int ilo,
-		 int *mflag);
-
-/* appl/lbfgsb.c */
-void setulb(int n, int m, double *x, double *l, double *u, int *nbd,
-	    double *f, double *g, double factr, double *pgtol,
-	    double *wa, int * iwa, char *task, int iprint,
-	    int *lsave, int *isave, double *dsave);
-
-/* appl/machar.c */
-void machar(int *ibeta, int *it, int *irnd, int *ngrd, int *machep,
-	    int *negep, int *iexp, int *minexp, int *maxexp,
-	    double *eps, double *epsneg, double *xmin, double *xmax);
-
-/* appl/maxcol.c: also in Utils.h  Used in package MNP */
-void R_max_col(double *matrix, int *nr, int *nc, int *maxes, int *ties_meth);
-
-
-/* appl/pretty.c */
-double R_pretty0(double *lo, double *up, int *ndiv, int min_n,
-		 double shrink_sml, double high_u_fact[],
-		 int eps_correction, int return_bounds);
-void R_pretty(double *lo, double *up, int *ndiv, int *min_n,
-	      double *shrink_sml, double *high_u_fact,
-	      int *eps_correction);
-
-/* appl/rcont.c: API prior to R 2.15.2 */
-void rcont2(int *nrow, int *ncol, int *nrowt, int *ncolt, int *ntotal,
-	    double *fact, int *jwork, int *matrix);
-
-/* appl/rowsum.c */
-void R_rowsum(int *dim, double *na_x, double *x, double *group);
-
-/* appl/stem.c */
-Rboolean stemleaf(double *x, int *n, double *scale, int *width, double *atom);
-
-/* appl/strsignif.c */
-void str_signif(char *x, int *n, const char **type, int *width, int *digits,
-		const char **format, const char **flag, char **result);
-
-/* appl/tabulate.c : non-API, used in package ape, phangorn, pcaPA */
-void R_tabulate(int *x, int *n, int *nbin, int *ans);
-
-/* appl/uncmin.c : */
-
-/* type of pointer to the target and gradient functions */
-typedef void (*fcn_p)(int, double *, double *, void *);
-
-/* type of pointer to the hessian functions */
-typedef void (*d2fcn_p)(int, int, double *, double *, void *);
-
-void fdhess(int n, double *x, double fval, fcn_p fun, void *state,
-	    double *h, int nfd, double *step, double *f, int ndigit,
-	    double *typx);
-
-/* used in nlme */
-void optif9(int nr, int n, double *x,
-	    fcn_p fcn, fcn_p d1fcn, d2fcn_p d2fcn,
-	    void *state, double *typsiz, double fscale, int method,
-	    int iexp, int *msg, int ndigit, int itnlim, int iagflg,
-	    int iahflg, double dlt, double gradtl, double stepmx,
-	    double steptl, double *xpls, double *fpls, double *gpls,
-	    int *itrmcd, double *a, double *wrk, int *itncnt);
-
-void optif0(int nr, int n, double *x, fcn_p fcn, void *state,
-	    double *xpls, double *fpls, double *gpls, int *itrmcd,
-	    double *a, double *wrk);
-
-/* appl/zeroin.c : non API, but used in package qtl */
-double R_zeroin(double ax, double bx, double (*f)(double, void *), void *info,
-		double *Tol, int *Maxit);
-/* R_zeroin2() is faster for "expensive" f(), in those typical cases where
- *             f(ax) and f(bx) are available anyway : */
-double R_zeroin2(double ax, double bx, double fa, double fb,
-		 double (*f)(double, void *), void *info, double *Tol, int *Maxit);
-
-
-/* ALL appl/<foobar>.f	[semi-automatically by
- *				 f2c -A -P *.f; cat *.P > all.h	 and editing]
- */
-
-/* This is not in the applications but in the BLAS, and defined in Lapack.h
-extern int F77_NAME(lsame)(const char *, const char *);
-*/
-
-/* LINPACK routines also declared in Linpack.h
-void F77_NAME(dpoco)(double *a, int *lda, int *n, double *rcond,
-		     double *z__, int *info);
-void F77_NAME(dpodi)(double *a, int *lda, int *n, double *det, int *job);
-void F77_NAME(dpofa)(double *a, int *lda, int *n, int *info);
-void F77_NAME(dposl)(double *a, int *lda, int *n, double *b);
-void F77_NAME(dqrdc)(double *x, int *ldx, int *n, int *p,
-		     double *qraux, int *jpvt, double *work, int *job);
-void F77_NAME(dqrsl)(double *x, int *ldx, int *n, int *k,
-		     double *qraux, double *y,
-		     double *qy, double *qty, double *b,
-		     double *rsd, double *xb, int *job, int *info);
-void F77_NAME(dsvdc)(double *x, int *ldx, int *n, int *p,
-		     double *s, double *e,
-		     double *u, int *ldu, double *v, int *ldv,
-		     double *work, int *job, int *info);
-void F77_NAME(dtrco)(double *t, int *ldt, int *n, double *rcond,
-		     double *z__, int *job);
-void F77_NAME(dtrsl)(double *t, int *ldt, int *n, double *b, int *job,
-		     int *info);
-*/
-
-/* find qr decomposition, dqrdc2() is basis of R's qr(), also used by nlme */
-void F77_NAME(dqrdc2)(double *x, int *ldx, int *n, int *p,
-		      double *tol, int *rank,
-		      double *qraux, int *pivot, double *work);
-void F77_NAME(dqrls)(double *x, int *n, int *p, double *y, int *ny,
-		     double *tol, double *b, double *rsd,
-		     double *qty, int *k,
-		     int *jpvt, double *qraux, double *work);
-
-/* appl/dqrutl.f: interfaces to dqrsl */
-void F77_NAME(dqrqty)(double *x, int *n, int *k, double *qraux,
-		      double *y, int *ny, double *qty);
-void F77_NAME(dqrqy)(double *x, int *n, int *k, double *qraux,
-		     double *y, int *ny, double *qy);
-void F77_NAME(dqrcf)(double *x, int *n, int *k, double *qraux,
-		     double *y, int *ny, double *b, int *info);
-void F77_NAME(dqrrsd)(double *x, int *n, int *k, double *qraux,
-		     double *y, int *ny, double *rsd);
-void F77_NAME(dqrxb)(double *x, int *n, int *k, double *qraux,
-		     double *y, int *ny, double *xb);
-
-
-#ifdef  __cplusplus
-}
-#endif
-
-#endif /* R_APPLIC_H_ */