/*
 *  Routines used in calculating least squares solutions in a
 *  nonlinear model in nls library for R.
 *
 *  Copyright 1999-2001 Douglas M. Bates
 *                      Saikat DebRoy
 *
 *  Copyright 2005--2013  The R Core Team
 *  Copyright 2006	  The R Foundation
 *
 *  This program is free software; you can redistribute it and/or modify
 *  it under the terms of the GNU General Public License as published by
 *  the Free Software Foundation; either version 2 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 General Public License for more
 *  details.
 *
 *  You should have received a copy of the GNU General Public
 *  License along with this program; if not, a copy is available at
 *  http://www.r-project.org/Licenses/
 */

#include <R.h>
#include <Rinternals.h>
#include <stdlib.h>
#include <float.h>
#include "nls.h"

#ifndef MIN
#define MIN(a,b) (((a)<(b))?(a):(b))
#endif

/*
 * get the list element named str. names is the name attribute of list
 */

static SEXP
getListElement(SEXP list, SEXP names, const char *str)
{
    SEXP elmt = (SEXP) NULL;
    const char *tempChar;
    int i;

    for (i = 0; i < length(list); i++) {
	tempChar = CHAR(STRING_ELT(names, i)); /* ASCII only */
	if( strcmp(tempChar,str) == 0) {
	    elmt = VECTOR_ELT(list, i);
	    break;
	}
    }
    return elmt;
}

/*
 * put some convergence-related information into list
 */
static SEXP
ConvInfoMsg(char* msg, int iter, int whystop, double fac,
	    double minFac, int maxIter, double convNew)
{
    const char *nms[] = {"isConv", "finIter", "finTol",
			 "stopCode", "stopMessage",  ""};
    SEXP ans;
    PROTECT(ans = mkNamed(VECSXP, nms));

    SET_VECTOR_ELT(ans, 0, ScalarLogical(whystop == 0)); /* isConv */
    SET_VECTOR_ELT(ans, 1, ScalarInteger(iter));	 /* finIter */
    SET_VECTOR_ELT(ans, 2, ScalarReal   (convNew));	 /* finTol */
    SET_VECTOR_ELT(ans, 3, ScalarInteger(whystop));      /* stopCode */
    SET_VECTOR_ELT(ans, 4, mkString(msg));               /* stopMessage */

    UNPROTECT(1);
    return ans;
}


/*
 *  call to nls_iter from R --- .Call("nls_iter", m, control, doTrace)
 *  where m and control are nlsModel and nlsControl objects
 *             doTrace is a logical value.
 *  m is modified; the return value is a "convergence-information" list.
 */
SEXP
nls_iter(SEXP m, SEXP control, SEXP doTraceArg)
{
    double dev, fac, minFac, tolerance, newDev, convNew = -1./*-Wall*/;
    int i, j, maxIter, hasConverged, nPars, doTrace, evaltotCnt = -1, warnOnly, printEval;
    SEXP tmp, conv, incr, deviance, setPars, getPars, pars, newPars, trace;

    doTrace = asLogical(doTraceArg);

    if(!isNewList(control))
	error(_("'control' must be a list"));
    if(!isNewList(m))
	error(_("'m' must be a list"));

    PROTECT(tmp = getAttrib(control, R_NamesSymbol));

    conv = getListElement(control, tmp, "maxiter");
    if(conv == NULL || !isNumeric(conv))
	error(_("'%s' absent"), "control$maxiter");
    maxIter = asInteger(conv);

    conv = getListElement(control, tmp, "tol");
    if(conv == NULL || !isNumeric(conv))
	error(_("'%s' absent"), "control$tol");
    tolerance = asReal(conv);

    conv = getListElement(control, tmp, "minFactor");
    if(conv == NULL || !isNumeric(conv))
	error(_("'%s' absent"), "control$minFactor");
    minFac = asReal(conv);

    conv = getListElement(control, tmp, "warnOnly");
    if(conv == NULL || !isLogical(conv))
	error(_("'%s' absent"), "control$warnOnly");
    warnOnly = asLogical(conv);

    conv = getListElement(control, tmp, "printEval");
    if(conv == NULL || !isLogical(conv))
	error(_("'%s' absent"), "control$printEval");
    printEval = asLogical(conv);

#define CONV_INFO_MSG(_STR_, _I_)					\
	ConvInfoMsg(_STR_, i, _I_, fac, minFac, maxIter, convNew)

#define NON_CONV_FINIS(_ID_, _MSG_)		\
    if(warnOnly) {				\
	warning(_MSG_);				\
	return CONV_INFO_MSG(_MSG_, _ID_);      \
    }						\
    else					\
	error(_MSG_);

#define NON_CONV_FINIS_1(_ID_, _MSG_, _A1_)	\
    if(warnOnly) {				\
	char msgbuf[1000];			\
	warning(_MSG_, _A1_);			\
	snprintf(msgbuf, 1000, _MSG_, _A1_);	\
	return CONV_INFO_MSG(msgbuf, _ID_);	\
    }						\
    else					\
	error(_MSG_, _A1_);

#define NON_CONV_FINIS_2(_ID_, _MSG_, _A1_, _A2_)	\
    if(warnOnly) {					\
	char msgbuf[1000];				\
	warning(_MSG_, _A1_, _A2_);			\
	snprintf(msgbuf, 1000, _MSG_, _A1_, _A2_);	\
	return CONV_INFO_MSG(msgbuf, _ID_);		\
    }							\
    else						\
	error(_MSG_, _A1_, _A2_);



    /* now get parts from 'm' */
    tmp = getAttrib(m, R_NamesSymbol);

    conv = getListElement(m, tmp, "conv");
    if(conv == NULL || !isFunction(conv))
	error(_("'%s' absent"), "m$conv()");
    PROTECT(conv = lang1(conv));

    incr = getListElement(m, tmp, "incr");
    if(incr == NULL || !isFunction(incr))
	error(_("'%s' absent"), "m$incr()");
    PROTECT(incr = lang1(incr));

    deviance = getListElement(m, tmp, "deviance");
    if(deviance == NULL || !isFunction(deviance))
	error(_("'%s' absent"), "m$deviance()");
    PROTECT(deviance = lang1(deviance));

    trace = getListElement(m, tmp, "trace");
    if(trace == NULL || !isFunction(trace))
	error(_("'%s' absent"), "m$trace()");
    PROTECT(trace = lang1(trace));

    setPars = getListElement(m, tmp, "setPars");
    if(setPars == NULL || !isFunction(setPars))
	error(_("'%s' absent"), "m$setPars()");
    PROTECT(setPars);

    getPars = getListElement(m, tmp, "getPars");
    if(getPars == NULL || !isFunction(getPars))
	error(_("'%s' absent"), "m$getPars()");
    PROTECT(getPars = lang1(getPars));

    PROTECT(pars = eval(getPars, R_GlobalEnv));
    nPars = LENGTH(pars);

    dev = asReal(eval(deviance, R_GlobalEnv));
    if(doTrace) eval(trace,R_GlobalEnv);

    fac = 1.0;
    hasConverged = FALSE;

    PROTECT(newPars = allocVector(REALSXP, nPars));
    if(printEval)
	evaltotCnt = 1;
    for (i = 0; i < maxIter; i++) {
	SEXP newIncr;
	int evalCnt = -1;
	if((convNew = asReal(eval(conv, R_GlobalEnv))) < tolerance) {
	    hasConverged = TRUE;
	    break;
	}
	PROTECT(newIncr = eval(incr, R_GlobalEnv));

	if(printEval)
	    evalCnt = 1;

	while(fac >= minFac) {
	    if(printEval) {
		Rprintf("  It. %3d, fac= %11.6g, eval (no.,total): (%2d,%3d):",
			i+1, fac, evalCnt, evaltotCnt);
		evalCnt++;
		evaltotCnt++;
	    }
	    for(j = 0; j < nPars; j++)
		REAL(newPars)[j] = REAL(pars)[j] + fac * REAL(newIncr)[j];

	    PROTECT(tmp = lang2(setPars, newPars));
	    if (asLogical(eval(tmp, R_GlobalEnv))) { /* singular gradient */
		UNPROTECT(11);

		NON_CONV_FINIS(1, _("singular gradient"));
	    }
	    UNPROTECT(1);

	    newDev = asReal(eval(deviance, R_GlobalEnv));
	    if(printEval)
		Rprintf(" new dev = %g\n", newDev);
	    if(newDev <= dev) {
		dev = newDev;
		fac = MIN(2*fac, 1);
		tmp = newPars;
		newPars = pars;
		pars = tmp;
		break;
	    }
	    fac /= 2.;
	}
	UNPROTECT(1);
	if( fac < minFac ) {
	    UNPROTECT(9);
	    NON_CONV_FINIS_2(2,
			     _("step factor %g reduced below 'minFactor' of %g"),
			     fac, minFac);
	}
	if(doTrace) eval(trace, R_GlobalEnv);
    }

    UNPROTECT(9);
    if(!hasConverged) {
	NON_CONV_FINIS_1(3,
			 _("number of iterations exceeded maximum of %d"),
			 maxIter);
    }
    /* else */

    return CONV_INFO_MSG(_("converged"), 0);
}
#undef CONV_INFO_MSG
#undef NON_CONV_FINIS
#undef NON_CONV_FINIS_1
#undef NON_CONV_FINIS_2


/*
 *  call to numeric_deriv from R -
 *  .Call("numeric_deriv", expr, theta, rho)
 *  Returns: ans
 */
SEXP
numeric_deriv(SEXP expr, SEXP theta, SEXP rho, SEXP dir)
{
    SEXP ans, gradient, pars;
    double eps = sqrt(DOUBLE_EPS), *rDir;
    int start, i, j, k, lengthTheta = 0;

    if(!isString(theta))
	error(_("'theta' should be of type character"));
    if (isNull(rho)) {
	error(_("use of NULL environment is defunct"));
	rho = R_BaseEnv;
    } else
	if(!isEnvironment(rho))
	    error(_("'rho' should be an environment"));
    PROTECT(dir = coerceVector(dir, REALSXP));
    if(TYPEOF(dir) != REALSXP || LENGTH(dir) != LENGTH(theta))
	error(_("'dir' is not a numeric vector of the correct length"));
    rDir = REAL(dir);

    PROTECT(pars = allocVector(VECSXP, LENGTH(theta)));

    PROTECT(ans = duplicate(eval(expr, rho)));

    if(!isReal(ans)) {
	SEXP temp = coerceVector(ans, REALSXP);
	UNPROTECT(1);
	PROTECT(ans = temp);
    }
    for(i = 0; i < LENGTH(ans); i++) {
	if (!R_FINITE(REAL(ans)[i]))
	    error(_("Missing value or an infinity produced when evaluating the model"));
    }
    const void *vmax = vmaxget();
    for(i = 0; i < LENGTH(theta); i++) {
	const char *name = translateChar(STRING_ELT(theta, i));
	SEXP temp = findVar(install(name), rho);
	if(isInteger(temp))
	    error(_("variable '%s' is integer, not numeric"), name);
	if(!isReal(temp))
	    error(_("variable '%s' is not numeric"), name);
	SET_VECTOR_ELT(pars, i, temp);
	lengthTheta += LENGTH(VECTOR_ELT(pars, i));
    }
    vmaxset(vmax);
    PROTECT(gradient = allocMatrix(REALSXP, LENGTH(ans), lengthTheta));

    for(i = 0, start = 0; i < LENGTH(theta); i++) {
	for(j = 0; j < LENGTH(VECTOR_ELT(pars, i)); j++, start += LENGTH(ans)) {
	    SEXP ans_del;
	    double origPar, xx, delta;

	    origPar = REAL(VECTOR_ELT(pars, i))[j];
	    xx = fabs(origPar);
	    delta = (xx == 0) ? eps : xx*eps;
	    REAL(VECTOR_ELT(pars, i))[j] += rDir[i] * delta;
	    PROTECT(ans_del = eval(expr, rho));
	    if(!isReal(ans_del)) ans_del = coerceVector(ans_del, REALSXP);
	    UNPROTECT(1);
	    for(k = 0; k < LENGTH(ans); k++) {
		if (!R_FINITE(REAL(ans_del)[k]))
		    error(_("Missing value or an infinity produced when evaluating the model"));
		REAL(gradient)[start + k] =
		    rDir[i] * (REAL(ans_del)[k] - REAL(ans)[k])/delta;
	    }
	    REAL(VECTOR_ELT(pars, i))[j] = origPar;
	}
    }
    setAttrib(ans, install("gradient"), gradient);
    UNPROTECT(4);
    return ans;
}