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meparser.cc
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meparser.cc
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/*Copyright 2014 Francisco Alvaro
This file is part of SESHAT.
SESHAT 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 3 of the License, or
(at your option) any later version.
SESHAT 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 SESHAT. If not, see <http://www.gnu.org/licenses/>.
*/
#include "meparser.h"
using json = nlohmann::json;
//Symbol classifier N-Best
#define NB 10
meParser::meParser(char *conf) {
FILE *fconfig=fopen(conf, "r");
if( !fconfig ) {
fprintf(stderr, "Error: loading config file '%s'\n", conf);
exit(-1);
}
//Read configuration file
char auxstr[1024],path[1024];
clusterF = -1;
segmentsTH = -1;
max_strokes = -1;
ptfactor = -1;
pbfactor = -1;
qfactor = -1;
dfactor = -1;
gfactor = -1;
rfactor = -1;
path[0] = 0;
gmm_spr = NULL;
fscanf(fconfig, "%s", auxstr);
while( !feof(fconfig) ) {
if( !strcmp(auxstr,"GRAMMAR") )
fscanf(fconfig, "%s", path); //Grammar path
else if( !strcmp(auxstr,"MaxStrokes") ) {
fscanf(fconfig, "%s", auxstr); //Info
max_strokes = atoi( auxstr );
}
else if( !strcmp(auxstr,"SpatialRels") ) {
fscanf(fconfig, "%s", auxstr);
gmm_spr = new GMM(auxstr);
}
else if( !strcmp(auxstr,"InsPenalty") ) {
fscanf(fconfig, "%s", auxstr);
InsPen = atof( auxstr );
}
else if( !strcmp(auxstr,"ClusterF") ) {
fscanf(fconfig, "%s", auxstr);
clusterF = atof( auxstr );
}
else if( !strcmp(auxstr,"SegmentsTH") ) {
fscanf(fconfig, "%s", auxstr);
segmentsTH = atof( auxstr );
}
else if( !strcmp(auxstr,"ProductionTSF") ) {
fscanf(fconfig, "%s", auxstr);
ptfactor = atof( auxstr );
}
else if( !strcmp(auxstr,"ProductionBSF") ) {
fscanf(fconfig, "%s", auxstr);
pbfactor = atof( auxstr );
}
else if( !strcmp(auxstr,"RelationSF") ) {
fscanf(fconfig, "%s", auxstr);
rfactor = atof( auxstr );
}
else if( !strcmp(auxstr,"SymbolSF") ) {
fscanf(fconfig, "%s", auxstr);
qfactor = atof( auxstr );
}
else if( !strcmp(auxstr,"DurationSF") ) {
fscanf(fconfig, "%s", auxstr);
dfactor = atof( auxstr );
}
else if( !strcmp(auxstr,"SegmentationSF") ) {
fscanf(fconfig, "%s", auxstr);
gfactor = atof( auxstr );
}
else
fscanf(fconfig, "%s", auxstr); //Info
fscanf(fconfig, "%s", auxstr); //Next field id
}
if( path[0]==0 ) {
fprintf(stderr, "Error: GRAMMAR field not found in config file '%s'\n", conf);
exit(-1);
}
if( !gmm_spr ) {
fprintf(stderr, "Error: Loading GMM model in config file '%s'\n", conf);
exit(-1);
}
if( max_strokes <= 0 || max_strokes > 10 ) {
fprintf(stderr, "Error: Wrong MaxStrokes value in config file '%s'\n", conf);
exit(-1);
}
if( clusterF < 0 ) {
fprintf(stderr, "Error: Wrong ClusterF value in config file '%s'\n", conf);
exit(-1);
}
if( segmentsTH <= 0 ) {
fprintf(stderr, "Error: Wrong SegmentsTH value in config file '%s'\n", conf);
exit(-1);
}
if( InsPen <= 0 ) {
fprintf(stderr, "Error: Wrong InsPenalty value in config file '%s'\n", conf);
exit(-1);
}
if( qfactor <= 0 )
fprintf(stderr, "WARNING: SymbolSF = %f\n", qfactor);
if( ptfactor <= 0 )
fprintf(stderr, "WARNING: ProductionTSF = %f\n", ptfactor);
if( pbfactor <= 0 )
fprintf(stderr, "WARNING: ProductionBSF = %f\n", pbfactor);
if( rfactor <= 0 )
fprintf(stderr, "WARNING: RelationSF = %f\n", rfactor);
if( dfactor < 0 )
fprintf(stderr, "WARNING: DurationSF = %f\n", dfactor);
if( gfactor < 0 )
fprintf(stderr, "WARNING: SegmentationSF = %f\n", gfactor);
//Read grammar path
fscanf(fconfig, "%s", path);
//Remove the last \n character
if( path[strlen(path)-1] == '\n' )
path[strlen(path)-1] = '\0';
fclose(fconfig);
//Load symbol recognizer
loadSymRec(conf);
//Load grammar
G = new Grammar(path, sym_rec);
}
meParser::~meParser() {
delete G;
delete sym_rec;
delete duration;
delete segmentation;
}
void meParser::loadSymRec(char *config) {
FILE *fd=fopen(config, "r");
if( !fd ) {
fprintf(stderr, "Error: loading config file '%s'\n", config);
exit(-1);
}
//Read symbol recognition information from config file
char auxstr[1024], dur_path[1024], seg_path[1024];
dur_path[0] = seg_path[0] = 0;
fscanf(fd, "%s", auxstr);
while( !feof(fd) ) {
if( !strcmp(auxstr,"Duration") )
fscanf(fd, "%s", dur_path);
else if( !strcmp(auxstr,"Segmentation") )
fscanf(fd, "%s", seg_path);
else
fscanf(fd, "%s", auxstr); //Info
fscanf(fd, "%s", auxstr); //Next field id
}
if( dur_path[0]==0 ) {
fprintf(stderr, "Error: Duration field not found in config file '%s'\n", config);
exit(-1);
}
if( seg_path[0]==0 ) {
fprintf(stderr, "Error: Segmentation field not found in config file '%s'\n", config);
exit(-1);
}
//Close configure
fclose(fd);
//Load symbol recognizer
sym_rec = new SymRec(config);
//Load duration and segmentation model
duration = new DurationModel(dur_path,max_strokes,sym_rec);
segmentation = new SegmentationModelGMM(seg_path);
}
//CYK table initialization with the terminal symbols
void meParser::initCYKterms(Sample *M, TableCYK *tcyk, int N, int K) {
for(int i=0; i<M->nStrokes(); i++) {
int cmy, asc, des;
printf("Stroke %d:\n", i);
int clase[NB];
float pr[NB];
cmy = sym_rec->clasificar( M, i, NB, clase, pr, &asc, &des );
CellCYK *cd = new CellCYK(G->noTerminales.size(), N);
M->setRegion(cd, i);
bool insertar=false;
for(list<ProductionT *>::iterator it=G->prodTerms.begin(); it!=G->prodTerms.end(); it++) {
ProductionT *prod = *it;
for(int k=0; k<NB; k++)
if( pr[k] > 0.0 && prod->getClase( clase[k] ) && prod->getPrior(clase[k]) > -FLT_MAX ) {
float prob = log(InsPen)
+ ptfactor * prod->getPrior(clase[k])
+ qfactor * log(pr[k])
+ dfactor * log(duration->prob(clase[k],1));
if( cd->noterm[prod->getNoTerm()] ) {
if( cd->noterm[prod->getNoTerm()]->pr > prob + prod->getPrior(clase[k]))
continue;
else
delete cd->noterm[prod->getNoTerm()];
}
insertar=true;
//Create new symbol
cd->noterm[prod->getNoTerm()] = new Hypothesis(clase[k], prob, cd, prod->getNoTerm() );
cd->noterm[prod->getNoTerm()]->pt = prod;
//Compute the vertical centroid according to the type of symbol
int cen, type = sym_rec->symType(clase[k]);
if( type==0 ) cen = cmy; //Normal
else if ( type==1 ) cen = asc; //Ascendant
else if ( type==2 ) cen = des; //Descendant
else cen = (cd->t+cd->y)*0.5; //Middle point
//Vertical center
cd->noterm[prod->getNoTerm()]->lcen = cen;
cd->noterm[prod->getNoTerm()]->rcen = cen;
}
}
if( insertar ) {
for(int j=0; j<K; j++) {
if( cd->noterm[j] ) {
printf("%12s [%s] %g\n", sym_rec->strClase(cd->noterm[j]->clase),
G->key2str(j), exp(cd->noterm[j]->pr) );
}
}
//Add to parsing table (size=1)
tcyk->add(1, cd, -1, G->esInit);
}
else
delete cd;
}
}
void meParser::combineStrokes(Sample *M, TableCYK *tcyk, LogSpace **LSP, int N) {
if( N<=1 ) return;
int asc, cmy, des;
int clase[NB];
float pr[NB];
int ntested=0;
//Set distance threshold
float distance_th = segmentsTH;
//For every single stroke
for(int stkc1=1; stkc1<N; stkc1++) {
CellCYK *c1 = new CellCYK(G->noTerminales.size(), N);
M->setRegion(c1, stkc1);
for(int size=2; size<=min(max_strokes,N); size++) {
list<int> close_list;
//Add close and visible strokes to the closer list
if( size==2 ) {
for(int i=0; i<stkc1; i++)
if( M->getDist(stkc1, i) < distance_th )
close_list.push_back(i);
}
else
M->get_close_strokes( stkc1, &close_list, distance_th );
//If there are not enough strokes to compose a hypothesis of "size", continue
if( (int)close_list.size() < size-1 )
continue;
int *stkvec = new int[close_list.size()], VS=0;
for(list<int>::iterator it=close_list.begin(); it!=close_list.end(); it++)
stkvec[VS++] = *it;
sort(stkvec, stkvec+VS);
for(int i=size-2; i<VS; i++) {
list<int> stks_list;
//Add stkc1 and current stroke (ith)
stks_list.push_back( stkvec[i] );
stks_list.push_back( stkc1 );
//Add strokes up to size
for(int j=i-(size-2); j<i; j++)
stks_list.push_back( stkvec[j] );
//Sort list (stroke's order is important in online classification)
stks_list.sort();
CellCYK *cd = new CellCYK(G->noTerminales.size(), N);
M->setRegion(cd, &stks_list);
//Print hypothesis information
printf("Multi-stroke (%d) hypothesis: {", size);
for(list<int>::iterator it=stks_list.begin(); it!=stks_list.end(); it++)
printf(" %d", *it);
printf(" }\n");
float seg_prob = segmentation->prob(cd,M);
cmy = sym_rec->clasificar(M, &stks_list, NB, clase, pr, &asc, &des);
ntested++;
//Add to parsing table
bool insertar=false;
for(list<ProductionT *>::iterator it=G->prodTerms.begin(); it!=G->prodTerms.end(); it++) {
ProductionT *prod = *it;
for(int k=0; k<NB; k++)
if( pr[k] > 0.0 && prod->getClase( clase[k] ) && prod->getPrior(clase[k]) > -FLT_MAX ) {
float prob = log(InsPen)
+ ptfactor * prod->getPrior(clase[k])
+ qfactor * log(pr[k])
+ dfactor * log( duration->prob(clase[k],size) )
+ gfactor * log( seg_prob );
if( cd->noterm[prod->getNoTerm()] ) {
if( cd->noterm[prod->getNoTerm()]->pr > prob )
continue;
else
delete cd->noterm[prod->getNoTerm()];
}
insertar=true;
cd->noterm[prod->getNoTerm()] = new Hypothesis(clase[k], prob, cd, prod->getNoTerm() );
cd->noterm[prod->getNoTerm()]->pt = prod;
int cen, type = sym_rec->symType(clase[k]);
if( type==0 ) cen = cmy; //Normal
else if ( type==1 ) cen = asc; //Ascendant
else if ( type==2 ) cen = des; //Descendant
else cen = (cd->t+cd->y)*0.5; //Middle point
//Vertical center
cd->noterm[prod->getNoTerm()]->lcen = cen;
cd->noterm[prod->getNoTerm()]->rcen = cen;
}
}
if( insertar ) {
for(int j=0; j<cd->nnt; j++) {
if( cd->noterm[j] ) {
printf("%12s [%s] %g\n", sym_rec->strClase(cd->noterm[j]->clase),
G->key2str(j), exp(cd->noterm[j]->pr));
}
}
tcyk->add(size, cd, -1, G->esInit);
}
else
delete cd;
}//end for close_list (VS)
delete[] stkvec;
}//end for size
}//end for stroke stkc1
}
//Combine hypotheses A and B to create new hypothesis S using production 'S -> A B'
CellCYK *meParser::fusion(Sample *M, ProductionB *pd, Hypothesis *A, Hypothesis *B, int N, double prob) {
CellCYK *S=NULL;
if( !A->parent->compatible(B->parent) || pd->prior == -FLT_MAX )
return S;
//Penalty according to distance between strokes
float grpen;
if( clusterF > 0.0 ) {
grpen = M->group_penalty(A->parent, B->parent);
//If distance is infinity -> not visible
if( grpen >= M->INF_DIST )
return NULL;
//Compute penalty
grpen = 1.0/(1.0 + grpen);
grpen = pow( grpen, clusterF );
}
else
grpen = 1.0;
//Get nonterminal
int ps = pd->S;
//Create new cell
S = new CellCYK(G->noTerminales.size(), N);
//Compute the (log)probability
prob = pbfactor * pd->prior + rfactor * log(prob * grpen) + A->pr + B->pr;
//Copute resulting region
S->x = min(A->parent->x, B->parent->x);
S->y = min(A->parent->y, B->parent->y);
S->s = max(A->parent->s, B->parent->s);
S->t = max(A->parent->t, B->parent->t);
//Set the strokes covered
S->ccUnion(A->parent,B->parent);
int clase=-1;
if( !pd->check_out() && sym_rec->checkClase( pd->get_outstr() ) )
clase = sym_rec->keyClase( pd->get_outstr() );
//Create hypothesis
S->noterm[ps] = new Hypothesis(clase, prob, S, ps);
pd->mergeRegions(A, B, S->noterm[ps]);
//Save the tree path
S->noterm[ps]->hi = A;
S->noterm[ps]->hd = B;
S->noterm[ps]->prod = pd;
//Special treatment for binary productions that compose terminal symbols (e.g. Equal --V--> Hline Hline)
if( clase >= 0 ) {
for(list<ProductionT *>::iterator it=G->prodTerms.begin(); it!=G->prodTerms.end(); it++) {
ProductionT *prod = *it;
if( prod->getClase( clase ) && prod->getPrior(clase) > -FLT_MAX ) {
S->noterm[ps]->pt = prod;
break;
}
}
}
return S;
}
/*************************************
Parse Math Expression
**************************************/
void meParser::parse_me(Sample *M) {
M->setSymRec( sym_rec );
//Compute the normalized size of a symbol for sample M
M->detRefSymbol();
int N = M->nStrokes();
int K = G->noTerminales.size();
//Cocke-Younger-Kasami (CYK) algorithm for 2D-SCFG
TableCYK tcyk( N, K );
printf("CYK table initialization:\n");
initCYKterms(M, &tcyk, N, K);
//Compute distances and visibility among strokes
M->compute_strokes_distances(M->RX, M->RY);
//Spatial structure for retrieving hypotheses within a certain region
LogSpace **logspace = new LogSpace*[N];
list<CellCYK*> c1setH, c1setV, c1setU, c1setI, c1setM, c1setS;
SpaRel SPR(gmm_spr, M);
//Init spatial space for size 1
logspace[1] = new LogSpace(tcyk.get(1), tcyk.size(1), M->RX, M->RY);
//Init the parsing table with several multi-stroke symbol segmentation hypotheses
combineStrokes(M, &tcyk, logspace, N);
printf("\nCYK parsing algorithm\n");
printf("Size 1: Generated %d\n", tcyk.size(1));
//CYK algorithm main loop
for(int talla=2; talla<=N; talla++) {
for(int a=1; a<talla; a++) {
int b = talla-a;
for(CellCYK *c1=tcyk.get(a); c1; c1=c1->sig) {
//Clear lists
c1setH.clear();
c1setV.clear();
c1setU.clear();
c1setI.clear();
c1setM.clear();
c1setS.clear();
//Get the subset of regions close to c1 according to different spatial relations
logspace[b]->getH(c1, &c1setH); //Horizontal (right)
logspace[b]->getV(c1, &c1setV); //Vertical (down)
logspace[b]->getU(c1, &c1setU); //Vertical (up)
logspace[b]->getI(c1, &c1setI); //Inside (sqrt)
logspace[b]->getM(c1, &c1setM); //mroot (sqrt[i])
for(list<CellCYK*>::iterator c2=c1setH.begin(); c2!=c1setH.end(); c2++) {
for(list<ProductionB*>::iterator it=G->prodsH.begin(); it!=G->prodsH.end(); it++) {
if( (*it)->prior == -FLT_MAX ) continue;
//Production S -> A B
int ps = ((ProductionB*)*it)->S;
int pa = ((ProductionB*)*it)->A;
int pb = ((ProductionB*)*it)->B;
if( c1->noterm[ pa ] && (*c2)->noterm[ pb ] ) {
double cdpr = SPR.getHorProb(c1->noterm[pa], (*c2)->noterm[ pb ]);
if( cdpr <= 0.0 ) continue;
CellCYK *cd = fusion(M, *it, c1->noterm[ pa ], (*c2)->noterm[ pb ], M->nStrokes(), cdpr);
if( !cd ) continue;
if( cd->noterm[ps] ) {
tcyk.add(talla, cd, ps, G->esInit); //Add to parsing table (size=talla)
}
else {
tcyk.add(talla, cd, -1, G->esInit); //Add to parsing table
}
}
}
for(list<ProductionB*>::iterator it=G->prodsSup.begin(); it!=G->prodsSup.end(); it++) {
if( (*it)->prior == -FLT_MAX ) continue;
//Production S -> A B
int ps = ((ProductionB*)*it)->S;
int pa = ((ProductionB*)*it)->A;
int pb = ((ProductionB*)*it)->B;
if( c1->noterm[ pa ] && (*c2)->noterm[ pb ] ) {
double cdpr = SPR.getSupProb(c1->noterm[pa], (*c2)->noterm[ pb ]);
if( cdpr <= 0.0 ) continue;
CellCYK *cd = fusion(M, *it, c1->noterm[ pa ], (*c2)->noterm[ pb ], M->nStrokes(), cdpr);
if( !cd ) continue;
if( cd->noterm[ps] ) {
tcyk.add(talla, cd, ps, G->esInit); //Add to parsing table
}
else {
tcyk.add(talla, cd, -1, G->esInit); //Add to parsing table
}
}
}
for(list<ProductionB*>::iterator it=G->prodsSub.begin(); it!=G->prodsSub.end(); it++) {
if( (*it)->prior == -FLT_MAX ) continue;
//Production S -> A B
int ps = ((ProductionB*)*it)->S;
int pa = ((ProductionB*)*it)->A;
int pb = ((ProductionB*)*it)->B;
if( c1->noterm[ pa ] && (*c2)->noterm[ pb ] ) {
double cdpr = SPR.getSubProb(c1->noterm[pa], (*c2)->noterm[ pb ]);
if( cdpr <= 0.0 ) continue;
CellCYK *cd = fusion(M, *it, c1->noterm[ pa ], (*c2)->noterm[ pb ], M->nStrokes(), cdpr);
if( !cd ) continue;
if( cd->noterm[ps] ) {
tcyk.add(talla, cd, ps, G->esInit); //Add to parsing table
}
else {
tcyk.add(talla, cd, -1, G->esInit); //Add to parsing table
}
}
}
}//end c2=c1setH
for(list<CellCYK*>::iterator c2=c1setV.begin(); c2!=c1setV.end(); c2++) {
for(list<ProductionB*>::iterator it=G->prodsV.begin(); it!=G->prodsV.end(); it++) {
if( (*it)->prior == -FLT_MAX ) continue;
//Production S -> A B
int ps = ((ProductionB*)*it)->S;
int pa = ((ProductionB*)*it)->A;
int pb = ((ProductionB*)*it)->B;
if( c1->noterm[ pa ] && (*c2)->noterm[ pb ] ) {
double cdpr = SPR.getVerProb(c1->noterm[pa], (*c2)->noterm[ pb ]);
if( cdpr <= 0.0 ) continue;
CellCYK *cd = fusion(M, *it, c1->noterm[ pa ], (*c2)->noterm[ pb ], M->nStrokes(), cdpr);
if( !cd ) continue;
if( cd->noterm[ps] )
tcyk.add(talla, cd, ps, G->esInit); //Add to parsing table
else
tcyk.add(talla, cd, -1, G->esInit); //Add to parsing table
}
}
//prodsVe
for(list<ProductionB*>::iterator it=G->prodsVe.begin(); it!=G->prodsVe.end(); it++) {
if( (*it)->prior == -FLT_MAX ) continue;
//Production S -> A B
int ps = ((ProductionB*)*it)->S;
int pa = ((ProductionB*)*it)->A;
int pb = ((ProductionB*)*it)->B;
if( c1->noterm[ pa ] && (*c2)->noterm[ pb ] ) {
double cdpr = SPR.getVerProb(c1->noterm[pa], (*c2)->noterm[ pb ], true);
if( cdpr <= 0.0 ) continue;
CellCYK *cd = fusion(M, *it, c1->noterm[ pa ], (*c2)->noterm[ pb ], M->nStrokes(), cdpr);
if( !cd ) continue;
if( cd->noterm[ps] ) {
tcyk.add(talla, cd, ps, G->esInit); //Add to parsing table
}
else {
tcyk.add(talla, cd, -1, G->esInit); //Add to parsing table
}
}
}
}//for in c1setV
for(list<CellCYK*>::iterator c2=c1setU.begin(); c2!=c1setU.end(); c2++) {
for(list<ProductionB*>::iterator it=G->prodsV.begin(); it!=G->prodsV.end(); it++) {
if( (*it)->prior == -FLT_MAX ) continue;
//Production S -> A B
int ps = ((ProductionB*)*it)->S;
int pa = ((ProductionB*)*it)->A;
int pb = ((ProductionB*)*it)->B;
if( c1->noterm[ pb ] && (*c2)->noterm[ pa ] ) {
double cdpr = SPR.getVerProb((*c2)->noterm[pa], c1->noterm[ pb ]);
if( cdpr <= 0.0 ) continue;
CellCYK *cd = fusion(M, *it, (*c2)->noterm[ pa ], c1->noterm[ pb ], M->nStrokes(), cdpr);
if( !cd ) continue;
if( cd->noterm[ps] ) {
tcyk.add(talla, cd, ps, G->esInit); //Add to parsing table
}
else {
tcyk.add(talla, cd, -1, G->esInit); //Add to parsing table
}
}
}
//ProdsVe
for(list<ProductionB*>::iterator it=G->prodsVe.begin(); it!=G->prodsVe.end(); it++) {
if( (*it)->prior == -FLT_MAX ) continue;
//Production S -> A B
int ps = ((ProductionB*)*it)->S;
int pa = ((ProductionB*)*it)->A;
int pb = ((ProductionB*)*it)->B;
if( c1->noterm[ pb ] && (*c2)->noterm[ pa ] ) {
double cdpr = SPR.getVerProb((*c2)->noterm[pa], c1->noterm[ pb ], true);
if( cdpr <= 0.0 ) continue;
CellCYK *cd = fusion(M, *it, (*c2)->noterm[ pa ], c1->noterm[ pb ], M->nStrokes(), cdpr);
if( !cd ) continue;
if( cd->noterm[ps] ) {
tcyk.add(talla, cd, ps, G->esInit); //Add to parsing table
}
else {
tcyk.add(talla, cd, -1, G->esInit); //Add to parsing table
}
}
}
}
for(list<CellCYK*>::iterator c2=c1setI.begin(); c2!=c1setI.end(); c2++) {
for(list<ProductionB*>::iterator it=G->prodsIns.begin(); it!=G->prodsIns.end(); it++) {
if( (*it)->prior == -FLT_MAX ) continue;
//Production S -> A B
int ps = ((ProductionB*)*it)->S;
int pa = ((ProductionB*)*it)->A;
int pb = ((ProductionB*)*it)->B;
if( c1->noterm[ pa ] && (*c2)->noterm[ pb ] ) {
double cdpr = SPR.getInsProb(c1->noterm[pa], (*c2)->noterm[ pb ]);
if( cdpr <= 0.0 ) continue;
CellCYK *cd = fusion(M, *it, c1->noterm[ pa ], (*c2)->noterm[ pb ], M->nStrokes(), cdpr);
if( !cd ) continue;
if( cd->noterm[ps] ) {
tcyk.add(talla, cd, ps, G->esInit); //Add to parsing table
}
else {
tcyk.add(talla, cd, -1, G->esInit); //Add to parsing table
}
}
}
}
//Mroot
for(list<CellCYK*>::iterator c2=c1setM.begin(); c2!=c1setM.end(); c2++) {
for(list<ProductionB*>::iterator it=G->prodsMrt.begin(); it!=G->prodsMrt.end(); it++) {
if( (*it)->prior == -FLT_MAX ) continue;
//Production S -> A B
int ps = ((ProductionB*)*it)->S;
int pa = ((ProductionB*)*it)->A;
int pb = ((ProductionB*)*it)->B;
if( c1->noterm[ pa ] && (*c2)->noterm[ pb ] ) {
double cdpr = SPR.getMrtProb(c1->noterm[pa], (*c2)->noterm[ pb ]);
if( cdpr <= 0.0 ) continue;
CellCYK *cd = fusion(M, *it, c1->noterm[ pa ], (*c2)->noterm[ pb ], M->nStrokes(), cdpr);
if( !cd ) continue;
if( cd->noterm[ps] ) {
tcyk.add(talla, cd, ps, G->esInit); //Add to parsing table
}
else {
tcyk.add(talla, cd, -1, G->esInit); //Add to parsing table
}
}
}
}
//End Mroot
//Look for combining {x_subs} y {x^sups} in {x_subs^sups}
for(int pps=0; pps<c1->nnt; pps++) {
//If c1->noterm[pa] is a Hypothesis of a subscript (parent_son)
if( c1->noterm[pps] && c1->noterm[pps]->prod && c1->noterm[pps]->prod->tipo() == 'B' ) {
logspace[b+c1->noterm[pps]->hi->parent->talla]->getS(c1, &c1setS); //sup/sub-scripts union
for(list<CellCYK*>::iterator c2=c1setS.begin(); c2!=c1setS.end(); c2++) {
if( (*c2)->x == c1->x && c1 != *c2 ) {
for(list<ProductionB*>::iterator it=G->prodsSSE.begin(); it!=G->prodsSSE.end(); it++) {
if( (*it)->prior == -FLT_MAX ) continue;
//Production S -> A B
int ps = ((ProductionB*)*it)->S;
int pa = ((ProductionB*)*it)->A;
int pb = ((ProductionB*)*it)->B;
if( c1->noterm[pa] && (*c2)->noterm[pb]
&& c1->noterm[pa]->prod && (*c2)->noterm[pb]->prod
&& c1->noterm[pa]->hi == (*c2)->noterm[pb]->hi
&& c1->noterm[pa]->prod->tipo() == 'B'
&& (*c2)->noterm[pb]->prod->tipo() == 'P'
&& c1->noterm[pa]->hd->parent->compatible( (*c2)->noterm[pb]->hd->parent ) ) {
//Subscript and superscript should start almost vertically aligned
if( abs(c1->noterm[pa]->hd->parent->x - (*c2)->noterm[pb]->hd->parent->x) > 3*M->RX ) continue;
//Subscript and superscript should not overlap
if( max((*it)->solape(c1->noterm[pa]->hd, (*c2)->noterm[pb]->hd),
(*it)->solape((*c2)->noterm[pb]->hd, c1->noterm[pa]->hd) ) > 0.1 ) continue;
float prob = c1->noterm[pa]->pr + (*c2)->noterm[pb]->pr - c1->noterm[pa]->hi->pr;
CellCYK *cd = new CellCYK(G->noTerminales.size(), M->nStrokes() );
cd->x = min(c1->x, (*c2)->x);
cd->y = min(c1->y, (*c2)->y);
cd->s = max(c1->s, (*c2)->s);
cd->t = max(c1->t, (*c2)->t);
cd->noterm[ ps ] = new Hypothesis(-1, prob, cd, ps);
cd->noterm[ ps ]->lcen = c1->noterm[pa]->lcen;
cd->noterm[ ps ]->rcen = c1->noterm[pa]->rcen;
cd->ccUnion(c1,(*c2));
cd->noterm[ ps ]->hi = c1->noterm[pa];
cd->noterm[ ps ]->hd = (*c2)->noterm[pb]->hd;
cd->noterm[ ps ]->prod = *it;
//Save the production of the superscript in order to recover it when printing the used productions
cd->noterm[ ps ]->prod_sse = (*c2)->noterm[pb]->prod;
tcyk.add(talla, cd, ps, G->esInit);
}
}
}
}//end for c2 in c1setS
c1setS.clear();
}
}//end for(int pps=0; pps<c1->nnt; pps++)
} //end for(CellCYK *c1=tcyk.get(a); c1; c1=c1->sig)
} //for 1 <= a < talla
if( talla < N ) {
//Create new logspace structure of size "talla"
logspace[talla] = new LogSpace(tcyk.get(talla), tcyk.size(talla), M->RX, M->RY);
}
printf("Size %d: Generated %d\n", talla, tcyk.size(talla));
#ifdef VERBOSE
for(CellCYK *cp=tcyk.get(talla); cp; cp=cp->sig) {
printf(" (%3d,%3d)-(%3d,%3d) { ", cp->x, cp->y, cp->s, cp->t);
for(int i=0; i<cp->nnt; i++)
if( cp->noterm[i] ) printf("%g[%s] ", cp->noterm[i]->pr, G->key2str(i));
printf("}\n");
}
printf("\n");
#endif
} //for 2 <= talla <= N
//Free memory
for(int i=1; i<N; i++)
delete logspace[i];
delete[] logspace;
//Get Most Likely Hypothesis
Hypothesis *mlh = tcyk.getMLH();
if( !mlh ) {
fprintf(stderr, "\nNo hypothesis found!!\n");
exit(1);
}
printf("\nMost Likely Hypothesis (%d strokes)\n\n", mlh->parent->talla);
printf("Math Symbols:\n");
print_symrec(mlh);
printf("\n");
printf("LaTeX:\n");
print_latex( mlh );
printf("\n");
printf("JSON:\n");
print_json(mlh, M);
//Save InkML file of the recognized expression
M->printInkML( G, mlh );
if( M->getOutDot() )
save_dot( mlh, M->getOutDot() );
int index = 0;
json j = get_json(mlh, &index);
j = add_boxes(j, M);
if (M->getOutTree()){
save_tree(mlh, M, M->getOutTree());
}
if (M->getOutBboxes()){
save_bboxes(j, M->getOutBboxes());
}
}
/*************************************
End Parsing Math Expression
*************************************/
void meParser::print_symrec(Hypothesis *H) {
if( !H->pt ) {
print_symrec( H->hi );
print_symrec( H->hd );
}
else {
printf("Terminal symbol class number: %d\n", H->clase);
string clatex = H->pt->getTeX( H->clase );
printf("%s {", clatex.c_str());
// nc is the number of strokes
for(int i=0; i < H->parent->nc; i++){
if( H->parent->ccc[i]) {
printf(" %d", i);
}
}
printf(" }\n");
}
}
void meParser::print_latex(Hypothesis *H) {
//printf("\\displaystyle ");
if( !H->pt )
H->prod->printOut( G, H );
else {
string clatex = H->pt->getTeX( H->clase );
printf("%s", clatex.c_str() );
}
printf("\n");
}
void meParser::show_strokes(Sample *M){
printf("Strokes data: \n");
for (int i = 0; i < M->nStrokes(); i++){
Stroke* sp = M->getStroke(i);
printf("Stroke %d: {X: %d, Y: %d, w: %d, h: %d}\n", i, sp->rx, sp->ry,
sp->rs-sp->rx, sp->rt-sp->ry);
}
printf("\n");
}
// get the json representation of the parse tree
void meParser::print_json(Hypothesis *H, Sample *M){
int index = 0;
json j = get_json(H, &index);
j = add_boxes(j, M);