// Main Entry Function
// -----------------------------------------------------------------
void mexFunction (int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[])
{
//Input Args
usrFcn fun, con;
double *x0, *lb = NULL, *ub = NULL;
char *xtype = NULL;
//Outputs Args
double *x, *fval, *exitflag, *iter, *nfval;
//Internal Vars
size_t ndec;
int i, nobj = 1, ncon = 0;
char errstr[1024]; //used for returning error info
iter_fun_data iterF;
//Check user inputs
if(!checkInputs(prhs,nrhs,plhs,nlhs))
return;
//Redirect cout
printfbuf buf;
std::streambuf *cout_sbuf = std::cout.rdbuf(); //keep existing buffer
std::cout.rdbuf(&buf); //redirect buffer
//NOMAD Vars
NOMAD::Mads *mads;
NOMAD::Display out(std::cout);
NOMAD::Parameters p(out);
NOMAD::Point px0;
NOMAD::Double *nx0;
NOMAD::stop_type stopflag;
//Evaluator Vars
matlabEval *mSEval = NULL;
matlabMEval *mBEval = NULL;
//Set Option Defaults
int printLevel = 0;
char *paramfile = NULL;
mxArray *bb_out_type = NULL;
iterF.enabled = false;
//Get Size
ndec = mxGetNumberOfElements(pX0);
//Get Blackbox / Objective Function Handle
if (mxIsChar(pFUN)) {
if(mxGetString(pFUN, fun.f, FLEN) != 0)
mexErrMsgTxt("error reading objective name string");
fun.nrhs = 1;
fun.xrhs = 0;
} else {
fun.prhs[0] = (mxArray*)pFUN;
strcpy(fun.f, "feval");
fun.nrhs = 2;
fun.xrhs = 1;
}
fun.prhs[fun.xrhs] = mxCreateDoubleMatrix(ndec, 1, mxREAL); //x
//Get x0
x0 = mxGetPr(pX0);
//Get xtype
if(nrhs > eXTYPE && !mxIsEmpty(pXTYPE))
xtype = mxArrayToString(pXTYPE);
//Get MEX Options if specified
if(nrhs > eOPTS && !mxIsEmpty(pOPTS)) {
if(mxGetField(pOPTS,0,"display_degree") && !mxIsEmpty(mxGetField(pOPTS,0,"display_degree")))
printLevel = (int)*mxGetPr(mxGetField(pOPTS,0,"display_degree"));
if(mxGetField(pOPTS,0,"param_file") && !mxIsEmpty(mxGetField(pOPTS,0,"param_file")))
paramfile = mxArrayToString(mxGetField(pOPTS,0,"param_file"));
if(mxGetField(pOPTS,0,"bb_output_type") && !mxIsEmpty(mxGetField(pOPTS,0,"bb_output_type")))
bb_out_type = mxGetField(pOPTS,0,"bb_output_type");
if(mxGetField(pOPTS,0,"iterfun") && !mxIsEmpty(mxGetField(pOPTS,0,"iterfun")))
{
iterF.prhs[0] = (mxArray*)mxGetField(pOPTS,0,"iterfun");
strcpy(iterF.f, "feval");
iterF.enabled = true;
iterF.prhs[1] = mxCreateNumericMatrix(1,1,mxINT32_CLASS,mxREAL);
iterF.prhs[2] = mxCreateDoubleMatrix(1,1,mxREAL);
iterF.prhs[3] = mxCreateDoubleMatrix(ndec,1,mxREAL);
}
}
//Create Outputs (note x and fval created below, due to allowing bi-objective)
plhs[2] = mxCreateDoubleMatrix(1,1, mxREAL);
plhs[3] = mxCreateDoubleMatrix(1,1, mxREAL);
plhs[4] = mxCreateDoubleMatrix(1,1, mxREAL);
exitflag = mxGetPr(plhs[2]);
iter = mxGetPr(plhs[3]);
nfval = mxGetPr(plhs[4]);
//Setup ndec
p.set_DIMENSION((int)ndec);
//Warn if >1000
if(ndec > 1000 && printLevel) {
sprintf(errstr,"Warning: NOMAD is designed problems less than 1000 variables. Your model has %d.\nWhile unlikely, it is possible NOMAD may not perform as intended on this problem.",static_cast<int>(ndec));
mexWarnMsgTxt(errstr);
}
//Setup Lower Bounds
if(nrhs > eLB && !mxIsEmpty(pLB)) {
NOMAD::Point ptLB;
NOMAD::Double *dLB = new NOMAD::Double[ndec];
lb = mxGetPr(pLB);
for(i=0;i<ndec;i++) {
if(!mxIsInf(lb[i])) //if not initialized will not be used
dLB[i] = lb[i];
}
ptLB.set((int)ndec,dLB);
p.set_LOWER_BOUND(ptLB);
delete [] dLB;
}
//Setup Upper Bounds
if(nrhs > eUB && !mxIsEmpty(pUB)) {
NOMAD::Point ptUB;
NOMAD::Double *dUB = new NOMAD::Double[ndec];
ub = mxGetPr(pUB);
for(i=0;i<ndec;i++) {
if(!mxIsInf(ub[i])) //if not initialized will not be used
dUB[i] = ub[i];
}
ptUB.set((int)ndec,dUB);
p.set_UPPER_BOUND(ptUB);
delete [] dUB;
}
//Setup x0
nx0 = new NOMAD::Double[ndec];
#ifdef OPTI_VERSION
double xl, xu;
//If integer variables declared, need to ensure x0[i] is an integer
if(xtype) {
for(i=0;i<ndec;i++) {
switch(tolower(xtype[i]))
{
case 'c':
//Ensure within bounds
if(lb && x0[i] < lb[i])
nx0[i] = lb[i];
else if(ub && x0[i] > ub[i])
nx0[i] = ub[i];
else
nx0[i] = x0[i]; //no rounding
break;
case 'i':
case 'b':
xl = floor(x0[i]); //First round is a floor
//If lower bounds exist
if(lb) {
//if lower bound broken
if(xl < lb[i]) {
xu = ceil(x0[i]);
//If upper bounds exist, check bound directions
if(ub && xu > ub[i]) { //if broken, no integer x0 exists
sprintf(errstr,"x0[%d] cannot be rounded to an integer value between lb: %g, ub %g",i,lb[i],ub[i]);
mexErrMsgTxt(errstr);
}
if(xu != x0[i]) { //If we changed something, warn user
sprintf(errstr,"x0[%d] was rounded up to %g to suit NOMAD interface",i,xu);
mexWarnMsgTxt(errstr);
}
//Save ceil value
nx0[i] = xu;
}
//Floor value did not break lower bounds, value OK
else {
if(xl != x0[i]) { //If we changed something, warn user
sprintf(errstr,"x0[%d] was rounded down to %g to suit NOMAD interface",i,xl);
mexWarnMsgTxt(errstr);
}
//Save floor value
nx0[i] = xl;
}
}
//No lower bounds, floor value assumed OK
else {
if(xl != x0[i]) { //If we changed something, warn user
sprintf(errstr,"x0[%d] was rounded down to %g to suit NOMAD interface",i,xl);
mexWarnMsgTxt(errstr);
}
//Save floor value
nx0[i] = xl;
}
break;
case 'r':
mexErrMsgTxt("Please specify continuous (real) variables using 'c' (as opposed to 'r') when using the OPTI version");
break;
default:
sprintf(errstr,"Unknown xtype[%d] character: %c\n\nValid options are 'C', 'I', or 'B'\n",i,xtype[i]);
mexErrMsgTxt(errstr);
}
}
}
//Else user start position within bounds
else {
for(i=0;i<ndec;i++) {
if(lb && x0[i] < lb[i])
nx0[i] = lb[i];
else if(ub && x0[i] > ub[i])
nx0[i] = ub[i];
else
nx0[i] = x0[i];
}
}
#else //GERAD VERSION - no x0 checking
for(i=0;i<ndec;i++)
nx0[i] = x0[i];
#endif
px0.set((int)ndec,nx0);
p.set_X0(px0);
delete [] nx0;
#ifdef OPTI_VERSION
//Setup Nonlinear Constraints
if(nrhs > eNLCON && !mxIsEmpty(pNLCON)) {
if (mxIsChar(pNLCON)) {
if(mxGetString(pNLCON, con.f, FLEN) != 0)
mexErrMsgTxt("error reading constraint name string");
con.nrhs = 1;
con.xrhs = 0;
} else {
con.prhs[0] = (mxArray*)pNLCON;
strcpy(con.f, "feval");
con.nrhs = 2;
con.xrhs = 1;
}
con.prhs[con.xrhs] = mxCreateDoubleMatrix(ndec, 1, mxREAL); //x
if(nrhs < eNLRHS+1 || mxIsEmpty(pNLRHS)) {//we will default to <= 0
ncon = -1;
con.nlrhs = NULL;
}
else {
ncon = (int)mxGetNumberOfElements(pNLRHS);
con.nlrhs = mxGetPr(pNLRHS);
}
}
//Setup Input Variable Types
if(xtype)
p.set_BB_INPUT_TYPE(detInTypes(xtype,ndec));
//Setup Evaluation Return Types + #'s of Obj + Con
p.set_BB_OUTPUT_TYPE(detRetTypes(&fun,bb_out_type,&nobj,&con,&ncon,x0,ndec));
//Set All Normal NOMAD Options
p.set_DISPLAY_DEGREE(0); //default
#endif //GERAD Version does not have a separate constraint handler and handles input and output types using options
//Set User Options
if(nrhs > eOPTS && !mxIsEmpty(pOPTS))
setNOMADopts(p,pOPTS);
else
setNOMADopts(p,NULL);
//If the user has specified a parameter file to read, see if it exists, and if so, read and parse it.
if(paramfile) {
FILE *pFile = fopen(paramfile,"r");
if(pFile==NULL) {
sprintf(errstr,"Cannot open parameter file: %s\n\nEnsure it exists!",paramfile);
mexErrMsgTxt(errstr);
}
else{
fclose(pFile); //close file pointer (we don't need it)
try
{
p.read(paramfile);
}
catch(exception &e)
{
sprintf(errstr,"NOMAD Parameter File Read Error:\n\n%s",e.what());
mexErrMsgTxt(errstr);
}
}
}
//Check NOMAD parameters
try {
p.check();
}
catch(exception &e) {
sprintf(errstr,"NOMAD Parameter Error:\n\n%s",e.what());
mexErrMsgTxt(errstr);
}
//Check for categorical variables
if (p.get_signature()->has_categorical())
mexErrMsgTxt("The MATLAB version of NOMAD does not support categorical variables yet! Check BB_INPUT_TYPE parameter.");
//If GERAD version, obtain number of objectives and constraints from parameters
#ifndef OPTI_VERSION
nobj=p.get_nb_obj();
ncon=(int)p.get_bb_output_type().size()-nobj;
#endif
//If user has requested surrogates, setup extra input arg to callbacks
if (p.has_sgte()) {
fun.prhs[fun.xrhs+1] = mxCreateLogicalMatrix(1,1); //extra logical indicating surrogate or not
fun.nrhs++;
#ifdef OPTI_VERSION
con.prhs[con.xrhs+1] = mxCreateLogicalMatrix(1,1);
con.nrhs++;
#endif
}
//Print Header
if(printLevel) {
mexPrintf("\n------------------------------------------------------------------\n");
mexPrintf(" This is NOMAD v%s\n",NOMAD::VERSION.c_str());
mexPrintf(" Authors: M. Abramson, C. Audet, G. Couture, J. Dennis, S. Le Digabel, C. Tribes\n\n");
mexPrintf(" Problem Properties:\n");
mexPrintf(" # Decision Variables: %4d\n",ndec);
mexPrintf(" # Number of Objectives: %4d\n",nobj);
mexPrintf(" # Number of Nonlinear Constraints: %4d\n",ncon);
mexPrintf("------------------------------------------------------------------\n");
mexEvalString("drawnow;"); //flush draw buffer
}
//Let this file sort out errors
mexSetTrapFlag(1);
//Reset tags and bbe (C.Tribes 3/14)
NOMAD::Eval_Point::reset_tags_and_bbes();
//Create evaluator and run mads based on number of objectives
try
{
if(nobj > 1) {
mBEval = new matlabMEval(p,&fun,nobj,&con,ncon,&iterF); //Bi-Objective Evaluator
mads = new NOMAD::Mads(p, mBEval); //Run NOMAD
stopflag = mads->multi_run();
}
else {
mSEval = new matlabEval(p,&fun,nobj,&con,ncon,&iterF); //Single Objective Evaluator
mads = new NOMAD::Mads(p, mSEval); //Run NOMAD
stopflag = mads->run();
}
}
catch(exception &e)
{
//Free Memory (C.Tribes 3/14)
if(mSEval) delete mSEval; mSEval = NULL;
if(mBEval) delete mBEval; mBEval = NULL;
delete mads;
if(xtype) mxFree(xtype); xtype = NULL;
//Report Error
sprintf(errstr,"NOMAD Run Error:\n\n%s",e.what());
mexErrMsgTxt(errstr);
}
if(printLevel)
mexPrintf("------------------------------------------------------------------\n");
//Obtain Solution based on Single or Multi-Objective (C.Tribes oct 09, 2013 --- changed to deal with pareto output)
if(nobj>1) {
NOMAD::Pareto_Front * pareto_front=mads->get_pareto_front();
if (pareto_front) {
int nb_pareto_pts = pareto_front->size();
plhs[0] = mxCreateDoubleMatrix(ndec,nb_pareto_pts, mxREAL);
plhs[1] = mxCreateDoubleMatrix(nobj,nb_pareto_pts, mxREAL);
x = mxGetPr(plhs[0]);
fval = mxGetPr(plhs[1]);
const NOMAD::Eval_Point * cur = pareto_front->begin();
int i=0;
while ( cur ) {
//mexPrintf("i %d OK: %d FEAS: %d\n",i,cur->is_eval_ok(),cur->is_feasible ( p.get_h_min() ));
if ( cur->is_eval_ok() && cur->is_feasible ( p.get_h_min() ) ) {
const std::list<int> & index_obj = p.get_index_obj();
std::list<int>::const_iterator it , end = index_obj.end();
const NOMAD::Point & bbo = cur->get_bb_outputs();
int j = 0;
NOMAD::Point multi_obj ( static_cast<int>(index_obj.size()) );
for ( it = index_obj.begin() ; it != end ; ++it,j++ )
fval[nobj*i+j] = bbo[*it].value();
for(j=0;j<ndec;j++)
x[ndec*i+j] = (*cur)[j].value();
}
cur = pareto_front->next();
i++;
}
*exitflag = getStatus(stopflag);
}
else {
stopflag = (NOMAD::stop_type)10;
*exitflag = -1; //No solution
}
}
else {
//Create single objective outputs
plhs[0] = mxCreateDoubleMatrix(ndec,1, mxREAL);
plhs[1] = mxCreateDoubleMatrix(1,1, mxREAL);
x = mxGetPr(plhs[0]);
fval = mxGetPr(plhs[1]);
const NOMAD::Eval_Point *bestSol = mads->get_best_feasible();
if(bestSol == NULL) {
bestSol = mads->get_best_infeasible();
//manually set as infeasible (no infeasible stop flag)
stopflag = (NOMAD::stop_type)10;
}
if(bestSol == NULL)
*exitflag = -1; //No solution
//If we have a solution, save it
if(*exitflag != -1) {
//Save x
NOMAD::Point pt(*bestSol);
for(i=0;i<ndec;i++)
x[i] = pt[i].value();
//Save fval
*fval = bestSol->get_f().value();
//Save Status
*exitflag = getStatus(stopflag);
}
}
//Common outputs
*iter = mads->get_stats().get_iterations();
*nfval = mads->get_stats().get_bb_eval();
//Return cout to initial buffer
std::cout.rdbuf(cout_sbuf);
//Return error control to default
mexSetTrapFlag(0);
//Free Memory
if(mSEval) delete mSEval; mSEval = NULL;
if(mBEval) delete mBEval; mBEval = NULL;
delete mads;
if(xtype) mxFree(xtype); xtype = NULL;
}
SEXP smultinomadRSolve( SEXP args )
{
R_CheckUserInterrupt();
SEXP solution;
// showArgs1(args);
PROTECT(solution=args);
NOMAD::Display out(rout);
out.precision(NOMAD::DISPLAY_PRECISION_STD);
theenv = getListElement(args, "snomadr.environment");
thefun = getListElement(args, "eval.f");
unsigned int seed;
SEXP rseed = getListElement(args, "random.seed");
if(isNull(rseed))
seed = unsigned(time(NULL));
else
seed = INTEGER(rseed)[0];
if(seed == 0) seed = unsigned(time(NULL));
srand(seed);
try{
R_CheckUserInterrupt();
vector<NOMAD::Point*> x0_pts;
NOMAD::Parameters param(out);
SEXP sN = getListElement(args,"n");
int N = INTEGER(sN)[0];
int i;
SEXP snmulti = getListElement(args, "nmulti");
int nmulti= INTEGER(snmulti)[0];
param.set_DIMENSION(N);
// Default options
// param.set_DIRECTION_TYPE(NOMAD::GPS_2N_RAND);
// param.set_OPPORTUNISTIC_EVAL(true);
// param.set_MIN_POLL_SIZE(0.001);
// param.set_MIN_MESH_SIZE(0.001);
// param.set_INITIAL_MESH_SIZE(0.01);
param.set_MAX_BB_EVAL(10000);
vector<NOMAD::bb_input_type> bbin(N);
NOMAD::Point lb(N);
NOMAD::Point ub(N);
SEXP sbbin = getListElement(args, "bbin");
SEXP slb = getListElement(args, "lower.bounds");
SEXP sub = getListElement(args, "upper.bounds");
int print_output = INTEGER(getListElement(args, "print.output"))[0];
for( i= 0;i<N;i++)
{
R_CheckUserInterrupt();
switch(INTEGER(sbbin)[i])
{
case 0:
default:
bbin[i]= NOMAD::CONTINUOUS;
lb[i]= REAL(slb)[i];
ub[i]= REAL(sub)[i];
break;
case 1:
bbin[i]= NOMAD::INTEGER;
lb[i]= (int)(REAL(slb)[i]);
ub[i]= (int)(REAL(sub)[i]);
break;
case 2:
bbin[i]= NOMAD::CATEGORICAL ;
lb[i]= (int)(REAL(slb)[i]);
ub[i]= (int)(REAL(sub)[i]);
break;
case 3:
bbin[i]= NOMAD::BINARY;
lb[i]= (int)(REAL(slb)[i]);
ub[i]= (int)(REAL(sub)[i]);
break;
}
}
param.set_BB_INPUT_TYPE(bbin);
param.set_LOWER_BOUND(lb);
param.set_UPPER_BOUND(ub);
/* initial points */
LH_x0(N,nmulti,x0_pts, lb, ub, bbin);
SEXP sx0 = getListElement(args, "x0"); //we may use this as best_x
if(!isNull(sx0))
{
if(LENGTH(sx0) == N) /* x0 as the first initial point. */
{
for( i=0;i<N;i++) {
(*x0_pts[0])[i]= REAL(sx0)[i];
}
} /* all initial points are input. please note the memory order of an array (
it seems that R uses the Fortran style.).*/
else if((LENGTH(sx0) >= N*nmulti) && (nmulti > 1) ) {
for (int j=0; j< nmulti; j++) {
for( i=0;i<N;i++) {
(*x0_pts[j])[i]= REAL(sx0)[j+i*nmulti];
}
}
}
}
else {
// read best_x.txt:
ifstream fin ( "best_x.txt");
if ( !fin.fail() )
for ( i = 0 ; i < N ; ++i )
fin >> (*x0_pts[0])[i];
fin.close();
}
SEXP sbbout = getListElement(args, "bbout");
vector<NOMAD::bb_output_type> bbot(LENGTH(sbbout));
for( i=0;i<LENGTH(sbbout);i++){
bbot[i] = NOMAD::bb_output_type(INTEGER(sbbout)[i]);
}
param.set_BB_OUTPUT_TYPE(bbot);
param.set_DISPLAY_DEGREE (0);
param.set_DISPLAY_STATS("bbe ( sol ) obj");
/* set other options in R */
SEXP opts;
opts = getListElement(args, "options");
setApplicationOptions(param, opts );
/* set other options in nomad.opt */
if(file_exists("nomad.opt"))
param.read("nomad.opt");
param.set_X0 ( *x0_pts[0] );
param.check();
// display all starting points:
if(print_output > 0 ){
out << endl;
for ( int j = 0 ; j < nmulti ; ++j )
out << "starting point # " << j << ": ( " << *x0_pts[j] << " )" << endl;
out << endl;
}
RMy_Evaluator ev(param);
const NOMAD::Eval_Point * cur_x;
NOMAD::Point best_x (N);
NOMAD::Double best_f = NOMAD::INF , worst_f = 0.0 , avg_f = 0.0;
// MADS runs:
// ----------
int bbe = 0;
int iter = 0;
i = 0;
NOMAD::stop_type status ;
while ( true ) {
R_CheckUserInterrupt();
// algorithm creation:
NOMAD::Mads mads ( param , &ev );
status = mads.run();
if ( status == NOMAD::CTRL_C ) R_CheckUserInterrupt(); //)exit(-1);
bbe += mads.get_cache().size(); /* the number of evaluations of the objectibve function. */
iter += mads.get_stats().get_iterations();
// displays and remember the best point:
if( print_output > 0 )
out << "\rrun #" << setw(2) << i << ": ";
cur_x = mads.get_best_feasible();
if ( cur_x ) {
if(print_output > 0 )
out << "f=" << cur_x->get_f() << endl;
if ( cur_x->get_f() < best_f ) {
best_f = cur_x->get_f();
best_x = *cur_x;
}
if ( cur_x->get_f() > worst_f )
worst_f = cur_x->get_f();
avg_f += cur_x->get_f();
}
else{
if(print_output > 0 )
out << "NULL" << endl;
}
if ( ++i == nmulti )
break;
// preparation of next run:
mads.reset();
param.reset_X0();
param.set_X0 ( *x0_pts[i] );
param.check();
}
// display the solution:
if(print_output > 0 ) {
out << endl << "bb eval : " << bbe << endl
<< "best : " << best_f;
out << endl
<< "worst : " << worst_f << endl
<< "solution: ";
out << "x = ( ";
best_x.display ( out , " " , -1 , -1 );
out << " ) f(x) = " << best_f.value();
out << endl << endl;
}
//ofstream fout ( "best_x.txt" );
//fout << setprecision(32);
//best_x.display ( fout , " " , -1 , -1 );
//fout.close();
// delete x0 points:
for ( i = 0 ; i < nmulti ; ++i )
delete x0_pts[i];
double obj_value = best_f.value();
double *sol_x;
sol_x = (double *)malloc(sizeof(double)*N);
for(int i=0;i<N;i++)
{
sol_x[i]= best_x[i].value();
}
solution = print_solution(obj_value, sol_x, N, bbe, iter, nmulti, status);
free(sol_x);
}
catch(std::exception &e){
error("\nNOMAD has been interrupted ( %s )\n\n", e.what());
}
NOMAD::Slave::stop_slaves(out);
NOMAD::end();
UNPROTECT(1);
return(solution);
}