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diawrap.cc
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// #[ Includes : diawrap.cc
extern "C" {
#include "form3.h"
}
#include "grccparam.h"
#include "grcc.h"
#define MAXPOINTS 120
typedef struct ToPoTyPe {
WORD *vert;
WORD *vertmax;
Options *opt;
int cldeg[MAXPOINTS], clnum[MAXPOINTS], clext[MAXPOINTS];
int cmind[MAXLEGS+1],cmaxd[MAXLEGS+1];
int ncl, nvert;
} TOPOTYPE;
static void ProcessDiagram(EGraph *eg, void *ti);
static int processVertex(TOPOTYPE *TopoInf, int pointsremaining, int level);
// #] Includes :
// #[ LoadModel :
int LoadModel(MODEL *m)
{
//
// First check whether there was a model already.
// In the Kaneko setup there can be only one at the same time.
// Hence if there was one we need to remove it first.
// Unless of course, it was already the model we want.
//
if ( m->grccmodel != NULL ) return(0);
int i,j,k;
//
// First the information that goes into the Model struct.
// Note that new Model takes over (does not copy) minp.cnamlist.
//
MInput minp;
PInput pinp;
IInput iinp;
if ( m->ncouplings > GRCC_MAXNCPLG ) {
MesPrint("Too many coupling constants in model. Current limit is %d.",(WORD)GRCC_MAXNCPLG);
MesPrint("Suggestion: recompile Form with a larger value for GRCC_MAXNCPLG");
return(-1);
}
minp.defpart = GRCC_DEFBYCODE;
minp.name = (char *)(m->name);
minp.ncouple = m->ncouplings;
for ( i = 0; i < GRCC_MAXNCPLG; i++ ) minp.cnamlist[i] = NULL;
for ( i = 0; i < minp.ncouple; i++ )
minp.cnamlist[i] = (char *)(VARNAME(symbols,m->couplings[i]));
Model *mdl = new Model(&minp);
//
// Now the particles
//
for ( i = 0; i < m->nparticles; i++ ) {
if ( minp.defpart == GRCC_DEFBYCODE ) {
pinp.name = NULL;
pinp.aname = NULL;
pinp.pcode = m->vertices[i]->particles[0].number;
pinp.acode = m->vertices[i]->particles[1].number;
switch ( m->vertices[i]->particles[0].spin ) {
case 1:
pinp.ptypec = GRCC_PT_Scalar;
break;
case -1:
pinp.ptypec = GRCC_PT_Ghost;
break;
case 2:
if ( m->vertices[i]->particles[0].type == 0 )
pinp.ptypec = GRCC_PT_Majorana;
else
pinp.ptypec = GRCC_PT_Undef;
break;
case -2:
if ( m->vertices[i]->particles[0].type == 0 )
pinp.ptypec = GRCC_PT_Majorana;
else
pinp.ptypec = GRCC_PT_Dirac;
break;
case 3:
pinp.ptypec = GRCC_PT_Vector;
break;
default:
pinp.ptypec = GRCC_PT_Undef;
break;
}
}
else {
pinp.name = (char *)(VARNAME(functions,m->vertices[i]->particles[0].number));
pinp.aname = (char *)(VARNAME(functions,m->vertices[i]->particles[1].number));
switch ( m->vertices[i]->particles[0].spin ) {
case 1:
pinp.ptypen = "scalar";
break;
case -1:
pinp.ptypen = "ghost";
break;
case 2:
if ( m->vertices[i]->particles[0].type == 0 )
pinp.ptypen = "majorana";
else
pinp.ptypen = "undef";
break;
case -2:
if ( m->vertices[i]->particles[0].type == 0 )
pinp.ptypen = "majorana";
else
pinp.ptypen = "dirac";
break;
case 3:
pinp.ptypen = "vector";
break;
default:
pinp.ptypen = "undef";
break;
}
}
pinp.extonly = m->vertices[i]->externonly;
mdl->addParticle(&pinp);
}
mdl->addParticleEnd();
//
// Now the vertices
//
for ( i = m->nparticles; i < m->invertices; i++ ) {
VERTEX *v = m->vertices[i];
if ( minp.defpart == GRCC_DEFBYCODE ) {
iinp.icode = NODEFUNCTION+i;
iinp.name = NULL;
}
else {
iinp.name = "node_";
}
iinp.nplistn = v->nparticles;
for ( j = 0; j < iinp.nplistn; j++ ) {
if ( minp.defpart == GRCC_DEFBYCODE ) {
iinp.plistc[j] = v->particles[j].number;
}
else {
iinp.plistn[j] = (char *)(VARNAME(functions,v->particles[j].number));
}
}
//
// We need a properly ordered list of coupling constants
// The ordered list is in m->couplings.
// For each vertex they are in v->couplings.
//
// iinp.cvallist = (int *)Malloc1(m->ncouplings*sizeof(int),"couplings");
for ( j = 0; j < m->ncouplings; j++ ) {
iinp.cvallist[j] = 0;
for ( k = 0; k < v->ncouplings; k += 2 ) {
if ( v->couplings[k] == m->couplings[j] ) {
iinp.cvallist[j] = v->couplings[k+1];
break;
}
}
}
mdl->addInteraction(&iinp);
}
mdl->addInteractionEnd();
m->grccmodel = (void *)mdl;
return(0);
}
// #] LoadModel :
// #[ ConvertParticle :
int ConvertParticle(Model *model,int formnum)
{
//
// Returns the grcc number of the particle, because grcc does not convert
//
int i;
for ( i = 0; i < model->nParticles; i++ ) {
if ( model->particles[i]->pcode == formnum ) { return(i); }
else if ( model->particles[i]->acode == formnum ) { return(-i); }
}
MesPrint("Particle %d not found in model %s",formnum,model->name);
Terminate(-1);
return(0);
}
// #] ConvertParticle :
// #[ ReConvertParticle :
int ReConvertParticle(Model *model,int grccnum)
{
//
// Returns the grcc number of the particle, because grcc does not convert
//
if ( grccnum < 0 ) { return(model->particles[-grccnum]->acode); }
else { return(model->particles[grccnum]->pcode); }
}
// #] ReConvertParticle :
// #[ numParticle :
int numParticle(MODEL *m,WORD n)
{
int i;
for ( i = 0; i < m->nparticles; i++ ) {
if ( m->vertices[i]->particles[0].number == n ) return(i);
if ( m->vertices[i]->particles[1].number == n ) return(i);
}
MesPrint("numParticle: particle %d not found in model",n);
Terminate(-1);
return(-1);
}
// #] numParticle :
// #[ ProcessDiagram :
void ProcessDiagram(EGraph *eg, void *ti)
{
//
// This is the routine that gets a complete diagram and passes it on
// to Form (Generator) for further algebraic manipulations.
// The term is picked up from AT.diaterm and a new term is constructed
// in the workspace.
//
GETIDENTITY
TERMINFO *info = (TERMINFO *)ti;
if ( ( info->flags & TOPOLOGIESONLY ) == TOPOLOGIESONLY ) return;
WORD *term = info->term, *newterm, *oldworkpointer = AT.WorkPointer;
WORD *tdia = term + info->diaoffset;
WORD *tail = tdia + tdia[1];
WORD *tend = term + *term;
WORD *fill, *startfill, *cfill, *afill;
int i, j, intr;
Model *model = (Model *)info->currentModel;
MODEL *m = (MODEL *)info->currentMODEL;
int numlegs, vect, edge;
newterm = term + *term;
for ( i = 1; i < info->diaoffset; i++ ) newterm[i] = term[i];
fill = newterm + info->diaoffset;
//
// Now get the nodes
//
if ( ( info->flags & NONODES ) == 0 ) {
for ( i = 0; i < eg->nNodes; i++ ) {
//
// node_(number,coupling,particle_1(momentum_1),...,particle_n(momentum_n))
//
numlegs = eg->nodes[i]->deg;
startfill = fill;
*fill++ = NODEFUNCTION;
*fill++ = 0;
FILLFUN(fill)
*fill++ = -SNUMBER; *fill++ = i+1;
//
// Now we put the coupling constants. This is done inside the
// function for when we want to work with counterterms.
//
if ( !eg->isExternal(i) ) {
afill = fill; *fill++ = 0; *fill++ = 1; FILLARG(fill)
cfill = fill; *fill++ = 0;
intr = eg->nodes[i]->intrct;
for ( j = 0; j < model->interacts[intr]->nclist; j++ ) {
if ( model->interacts[intr]->clist[j] != 0 ) {
*fill++ = SYMBOL; *fill++ = 4;
*fill++ = m->couplings[j];
*fill++ = model->interacts[intr]->clist[j];
}
}
*fill++ = 1; *fill++ = 1; *fill++ = 3;
*cfill = fill - cfill;
*afill = fill - afill;
}
else {
*fill++ = -SNUMBER;
*fill++ = 1;
}
//
// Now the particles and their momenta.
//
for ( j = 0; j < numlegs; j++ ) {
*fill++ = ARGHEAD+FUNHEAD+6;
*fill++ = 0;
FILLARG(fill)
edge = eg->nodes[i]->edges[j];
vect = ABS(edge)-1;
*fill++ = 6+FUNHEAD;
int a;
if ( edge < 0 ) { a = ReConvertParticle(model,-eg->edges[vect]->ptcl); }
else { a = ReConvertParticle(model,eg->edges[vect]->ptcl); }
*fill++ = a;
*fill++ = FUNHEAD+2;
FILLFUN(fill)
*fill++ = edge < 0 ? -MINVECTOR: -VECTOR;
if ( numlegs == 1 || vect < info->numextern ) { // Look up in set of external momenta
*fill++ = SetElements[Sets[info->externalset].first+vect];
}
else { // Look up in set of internal momenta set
*fill++ = SetElements[Sets[info->internalset].first+(vect-eg->nExtern)];
}
*fill++ = 1; *fill++ = 1; *fill++ = 3;
}
startfill[1] = fill-startfill;
}
}
if ( ( info->flags & WITHEDGES ) == WITHEDGES ) {
for ( i = 0; i < eg->nEdges; i++ ) {
int n1 = eg->edges[i]->nodes[0];
int n2 = eg->edges[i]->nodes[1];
// int l1 = eg->edges[i]->nlegs[0];
// int l2 = eg->edges[i]->nlegs[1];
startfill = fill;
*fill++ = EDGE;
*fill++ = 0;
FILLFUN(fill)
*fill++ = -SNUMBER; *fill++ = i+1; // number of the edge
//
*fill++ = ARGHEAD+FUNHEAD+6;
*fill++ = 0;
FILLARG(fill)
*fill++ = 6+FUNHEAD;
int a = ReConvertParticle(model,eg->edges[i]->ptcl);
*fill++ = a;
*fill++ = FUNHEAD+2;
FILLFUN(fill)
*fill++ = -VECTOR;
// Look up in set of internal momenta set
if ( i < info->numextern ) { // Look up in set of external momenta
*fill++ = SetElements[Sets[info->externalset].first+i];
}
else { // Look up in set of internal momenta set
*fill++ = SetElements[Sets[info->internalset].first+(i-eg->nExtern)];
}
*fill++ = 1; *fill++ = 1; *fill++ = 3;
//
*fill++ = -SNUMBER; *fill++ = n1+1; // number of the node from
*fill++ = -SNUMBER; *fill++ = n2+1; // number of the node to
startfill[1] = fill - startfill;
}
}
if ( ( info->flags & WITHBLOCKS ) == WITHBLOCKS ) {
for ( i = 0; i < eg->econn->nblocks; i++ ) {
startfill = fill;
*fill++ = BLOCK;
*fill++ = 0;
FILLFUN(fill);
*fill++ = -SNUMBER;
*fill++ = i+1;
*fill++ = -SNUMBER;
*fill++ = eg->econn->blocks[i].loop;
//
// Now we have to make a list of all nodes inside this block
//
int bnodes[GRCC_MAXNODES], k;
WORD *argfill = fill, *funfill;
*fill++ = 0; *fill++ = 0; FILLARG(fill)
*fill++ = 0;
for ( k = 0; k < GRCC_MAXNODES; k++ ) bnodes[k] = 0;
for ( k = 0; k < eg->econn->blocks[i].nmedges; k++ ) {
bnodes[eg->econn->blocks[i].edges[k][0]] = 1;
bnodes[eg->econn->blocks[i].edges[k][1]] = 1;
}
for ( k = 0; k < GRCC_MAXNODES; k++ ) {
if ( bnodes[k] == 0 ) continue;
//
// Now we put the node inside this argument.
//
funfill = fill;
*fill++ = NODEFUNCTION;
*fill++ = 0;
FILLFUN(fill)
*fill++ = -SNUMBER; *fill++ = k+1;
numlegs = eg->nodes[k]->deg;
for ( j = 0; j < numlegs; j++ ) {
edge = eg->nodes[k]->edges[j];
vect = ABS(edge)-1;
*fill++ = -VECTOR;
if ( numlegs == 1 || vect < info->numextern ) { // Look up in set of external momenta
*fill++ = SetElements[Sets[info->externalset].first+vect];
}
else { // Look up in set of internal momenta set
*fill++ = SetElements[Sets[info->internalset].first+(vect-info->numextern)];
}
}
funfill[1] = fill-funfill;
}
*fill++ = 1; *fill++ = 1; *fill++ = 3;
*argfill = fill - argfill;
argfill[ARGHEAD] = argfill[0] - ARGHEAD;
startfill[1] = fill-startfill;
}
}
if ( ( info->flags & WITHONEPI ) == WITHONEPI ) {
for ( i = 0; i < eg->econn->nopic; i++ ) {
startfill = fill;
*fill++ = ONEPI;
*fill++ = 0;
FILLFUN(fill);
*fill++ = -SNUMBER;
*fill++ = i+1;
*fill++ = -ONEPI;
for ( j = 0; j < eg->econn->opics[i].nnodes; j++ ) {
*fill++ = -SNUMBER;
*fill++ = eg->econn->opics[i].nodes[j]+1;
}
startfill[1] = fill-startfill;
}
}
//
// Topology counter. We have exaggerated a bit with the eye on the far future.
//
if ( info->numtopo-1 < MAXPOSITIVE ) {
*fill++ = TOPO; *fill++ = FUNHEAD+2; FILLFUN(fill)
*fill++ = -SNUMBER; *fill++ = (WORD)(info->numtopo-1);
}
else if ( info->numtopo-1 < FULLMAX-1 ) {
*fill++ = TOPO; *fill++ = FUNHEAD+ARGHEAD+4; FILLFUN(fill)
*fill++ = ARGHEAD+4; *fill++ = 0; FILLARG(fill)
*fill++ = 4;
*fill++ = (WORD)((info->numtopo-1) & WORDMASK);
*fill++ = 1; *fill++ = 3;
}
else { // for now: science fiction
*fill++ = TOPO; *fill++ = FUNHEAD+ARGHEAD+6; FILLFUN(fill)
*fill++ = ARGHEAD+6; *fill++ = 0; FILLARG(fill)
*fill++ = 6; *fill++ = (WORD)((info->numtopo-1) >> BITSINWORD);
*fill++ = (WORD)((info->numtopo-1) & WORDMASK);
*fill++ = 0; *fill++ = 1; *fill++ = 5;
}
//
// Symmetry factors. We let Normalize do the multiplication.
//
if ( eg->nsym != 1 ) {
*fill++ = SNUMBER; *fill++ = 4; *fill++ = (WORD)eg->nsym; *fill++ = -1;
}
if ( eg->esym != 1 ) {
*fill++ = SNUMBER; *fill++ = 4; *fill++ = (WORD)eg->esym; *fill++ = -1;
}
if ( eg->extperm != 1 ) {
*fill++ = SNUMBER; *fill++ = 4; *fill++ = (WORD)eg->extperm; *fill++ = 1;
}
//
// finish it off
//
while ( tail < tend ) *fill++ = *tail++;
if ( eg->fsign < 0 ) fill[-1] = -fill[-1];
*newterm = fill - newterm;
AT.WorkPointer = fill;
// MesPrint("<> %a",newterm[0],newterm);
Generator(BHEAD newterm,info->level);
AT.WorkPointer = oldworkpointer;
}
// #] ProcessDiagram :
// #[ fendMG :
Bool fendMG(EGraph *eg, void *ti)
{
DUMMYUSE(eg);
DUMMYUSE(ti);
return True;
}
// #] fendMG :
// #[ ProcessTopology :
Bool ProcessTopology(EGraph *eg, void *ti)
{
//
// This routine is called for each new topology.
// New convention: return True; generate the corresponding diagrams if needed
// return False; skip diagram generation (when asked for).
//
TERMINFO *info = (TERMINFO *)ti;
#ifdef WITHEARLYVETO
if ( ( ( info->flags & CHECKEXTERN ) == CHECKEXTERN ) && info->currentMODEL != NULL ) {
int i, j;
int numlegs, vect, edge;
for ( i = 0; i < eg->nNodes; i++ ) {
if ( eg->isExternal(i) ) continue;
numlegs = eg->nodes[i]->deg;
for ( j = 0; j < numlegs; j++ ) {
edge = eg->nodes[i]->edges[j];
vect = ABS(edge)-1;
if ( vect < info->numextern && info->legcouple[vect][numlegs] == 0 ) {
// This cannot be.
info->numtopo++;
return False;
}
}
}
}
#endif
if ( ( info->flags & TOPOLOGIESONLY ) == 0 ) {
info->numtopo++;
return True;
}
//
// Now we are just generating topologies.
//
GETIDENTITY
WORD *term = info->term, *newterm, *oldworkpointer = AT.WorkPointer;
WORD *tdia = term + info->diaoffset;
WORD *tail = tdia + tdia[1];
WORD *tend = term + *term;
WORD *fill, *startfill;
Model *model = (Model *)info->currentModel;
MODEL *m = (MODEL *)info->currentMODEL;
int i, j;
int numlegs, vect, edge;
newterm = term + *term;
for ( i = 1; i < info->diaoffset; i++ ) newterm[i] = term[i];
fill = newterm + info->diaoffset;
//
// Now get the nodes
//
for ( i = 0; i < eg->nNodes; i++ ) {
//
// node_(number,momentum_1,...,momentum_n)
//
numlegs = eg->nodes[i]->deg;
startfill = fill;
*fill++ = NODEFUNCTION;
*fill++ = 0;
FILLFUN(fill)
*fill++ = -SNUMBER; *fill++ = i+1;
if ( model != NULL && m != NULL ) {
if ( !eg->isExternal(i) ) {
WORD *afill = fill; *fill++ = 0; *fill++ = 1; FILLARG(fill)
WORD *cfill = fill; *fill++ = 0;
int cpl = 2*eg->nodes[i]->extloop+eg->nodes[i]->deg-2;
*fill++ = SYMBOL; *fill++ = 4;
*fill++ = m->couplings[0];
*fill++ = cpl;
*fill++ = 1; *fill++ = 1; *fill++ = 3;
*cfill = fill - cfill;
*afill = fill - afill;
if ( *afill == ARGHEAD+8 && afill[ARGHEAD+4] == 1 ) {
fill = afill; *fill++ = -SYMBOL; *fill++ = afill[ARGHEAD+3];
}
}
else {
*fill++ = -SNUMBER;
*fill++ = 1;
}
}
//
// Now the momenta.
//
for ( j = 0; j < numlegs; j++ ) {
edge = eg->nodes[i]->edges[j];
vect = ABS(edge)-1;
*fill++ = edge < 0 ? -MINVECTOR: -VECTOR;
if ( numlegs == 1 || vect < info->numextern ) { // Look up in set of external momenta
*fill++ = SetElements[Sets[info->externalset].first+vect];
}
else { // Look up in set of internal momenta set
*fill++ = SetElements[Sets[info->internalset].first+(vect-info->numextern)];
}
}
startfill[1] = fill-startfill;
}
if ( ( info->flags & WITHEDGES ) == WITHEDGES ) {
for ( i = 0; i < eg->nEdges; i++ ) {
int n1 = eg->edges[i]->nodes[0];
int n2 = eg->edges[i]->nodes[1];
// int l1 = eg->edges[i]->nlegs[0];
// int l2 = eg->edges[i]->nlegs[1];
startfill = fill;
*fill++ = EDGE;
*fill++ = 0;
FILLFUN(fill)
*fill++ = -SNUMBER; *fill++ = i+1; // number of the edge
//
*fill++ = -VECTOR;
if ( i < info->numextern ) { // Look up in set of external momenta
*fill++ = SetElements[Sets[info->externalset].first+i];
}
else { // Look up in set of internal momenta set
*fill++ = SetElements[Sets[info->internalset].first+(i-eg->nExtern)];
}
//
*fill++ = -SNUMBER; *fill++ = n1+1; // number of the node from
*fill++ = -SNUMBER; *fill++ = n2+1; // number of the node to
startfill[1] = fill - startfill;
}
}
//
// Block information
//
if ( ( info->flags & WITHBLOCKS ) == WITHBLOCKS ) {
for ( i = 0; i < eg->econn->nblocks; i++ ) {
startfill = fill;
*fill++ = BLOCK;
*fill++ = 0;
FILLFUN(fill);
*fill++ = -SNUMBER;
*fill++ = i+1;
*fill++ = -SNUMBER;
*fill++ = eg->econn->blocks[i].loop;
//
// Now we have to make a list of all nodes inside this block
//
int bnodes[GRCC_MAXNODES], k;
WORD *argfill = fill, *funfill;
*fill++ = 0; *fill++ = 0; FILLARG(fill)
*fill++ = 0;
for ( k = 0; k < GRCC_MAXNODES; k++ ) bnodes[k] = 0;
for ( k = 0; k < eg->econn->blocks[i].nmedges; k++ ) {
bnodes[eg->econn->blocks[i].edges[k][0]] = 1;
bnodes[eg->econn->blocks[i].edges[k][1]] = 1;
}
for ( k = 0; k < GRCC_MAXNODES; k++ ) {
if ( bnodes[k] == 0 ) continue;
//
// Now we put the node inside this argument.
//
funfill = fill;
*fill++ = NODEFUNCTION;
*fill++ = 0;
FILLFUN(fill)
*fill++ = -SNUMBER; *fill++ = k+1;
numlegs = eg->nodes[k]->deg;
for ( j = 0; j < numlegs; j++ ) {
edge = eg->nodes[k]->edges[j];
vect = ABS(edge)-1;
*fill++ = -VECTOR;
if ( numlegs == 1 || vect < info->numextern ) { // Look up in set of external momenta
*fill++ = SetElements[Sets[info->externalset].first+vect];
}
else { // Look up in set of internal momenta set
*fill++ = SetElements[Sets[info->internalset].first+(vect-info->numextern)];
}
}
funfill[1] = fill-funfill;
}
*fill++ = 1; *fill++ = 1; *fill++ = 3;
*argfill = fill - argfill;
argfill[ARGHEAD] = argfill[0] - ARGHEAD;
startfill[1] = fill-startfill;
}
// if ( eg->econn->narticuls > 0 ) {
// startfill = fill;
// *fill++ = BLOCK;
// *fill++ = 0;
// FILLFUN(fill);
// for ( i = 0; i < eg->econn->snodes; i++ ) {
// if ( eg->econn->articuls[i] != 0 ) {
// *fill++ = -SNUMBER;
// *fill++ = i+1;
// }
// }
// startfill[1] = fill-startfill;
// }
}
if ( ( info->flags & WITHONEPI ) == WITHONEPI ) {
for ( i = 0; i < eg->econn->nopic; i++ ) {
startfill = fill;
*fill++ = ONEPI;
*fill++ = 0;
FILLFUN(fill);
*fill++ = -SNUMBER;
*fill++ = i+1;
*fill++ = -ONEPI;
for ( j = 0; j < eg->econn->opics[i].nnodes; j++ ) {
*fill++ = -SNUMBER;
*fill++ = eg->econn->opics[i].nodes[j]+1;
}
startfill[1] = fill-startfill;
}
}
//
// Topology counter. We have exaggerated a bit with the eye on the far future.
//
if ( info->numtopo < MAXPOSITIVE ) {
*fill++ = TOPO; *fill++ = FUNHEAD+2; FILLFUN(fill)
*fill++ = -SNUMBER; *fill++ = (WORD)(info->numtopo);
}
else if ( info->numtopo < FULLMAX-1 ) {
*fill++ = TOPO; *fill++ = FUNHEAD+ARGHEAD+4; FILLFUN(fill)
*fill++ = ARGHEAD+4; *fill++ = 0; FILLARG(fill)
*fill++ = 4;
*fill++ = (WORD)(info->numtopo & WORDMASK);
*fill++ = 1; *fill++ = 3;
}
else { // for now: science fiction
*fill++ = TOPO; *fill++ = FUNHEAD+ARGHEAD+6; FILLFUN(fill)
*fill++ = ARGHEAD+6; *fill++ = 0; FILLARG(fill)
*fill++ = 6; *fill++ = (WORD)(info->numtopo >> BITSINWORD);
*fill++ = (WORD)(info->numtopo & WORDMASK);
*fill++ = 0; *fill++ = 1; *fill++ = 5;
}
//
// Symmetry factors. We let Normalize do the multiplication.
//
if ( eg->nsym != 1 ) {
*fill++ = SNUMBER; *fill++ = 4; *fill++ = (WORD)eg->nsym; *fill++ = -1;
}
if ( eg->esym != 1 ) {
*fill++ = SNUMBER; *fill++ = 4; *fill++ = (WORD)eg->esym; *fill++ = -1;
}
//
// finish it off
//
while ( tail < tend ) *fill++ = *tail++;
if ( eg->fsign < 0 ) fill[-1] = -fill[-1];
*newterm = fill - newterm;
AT.WorkPointer = fill;
//MesPrint("<> %a",*newterm,newterm);
Generator(BHEAD newterm,info->level);
AT.WorkPointer = oldworkpointer;
info->numtopo++;
return False;
}
// #] ProcessTopology :
// #[ GenDiagrams :
WORD GenDiagrams(PHEAD WORD *term, WORD level)
{
Model *model;
MODEL *m;
Options *opt;
Process *proc;
int pid = 1, x;
int babble = 0; // Later we may set this at the FORM code level
TERMINFO info;
WORD inset,outset,*coupl,setnum,optionnumber = 0;
int i, j, cpl[GRCC_MAXNCPLG];
int ninitl, initlPart[GRCC_MAXLEGS], nfinal, finalPart[GRCC_MAXLEGS];
for ( i = 0; i < GRCC_MAXNCPLG; i++ ) cpl[i] = 0;
//
// Here we create an object of type Option and load it up.
// Next we run the diagram generation on it.
//
info.term = term;
info.level = level;
info.diaoffset = AR.funoffset;
info.externalset = term[info.diaoffset+FUNHEAD+7];
info.internalset = term[info.diaoffset+FUNHEAD+9];
info.flags = 0;
inset = term[info.diaoffset+FUNHEAD+3];
outset = term[info.diaoffset+FUNHEAD+5];
coupl = term + info.diaoffset + FUNHEAD + 10;
if ( *coupl < 0 ) {
if ( term[info.diaoffset+1] > FUNHEAD + 12 ) {
optionnumber = term[info.diaoffset+FUNHEAD+13];
}
}
else {
if ( term[info.diaoffset+1] > *coupl+FUNHEAD+10 )
optionnumber = term[info.diaoffset+*coupl+FUNHEAD+11];
}
setnum = term[info.diaoffset+FUNHEAD+1];
m = AC.models[SetElements[Sets[setnum].first]];
LoadModel(m);
model = (Model *)m->grccmodel;
info.currentModel = (void *)model;
info.currentMODEL = (void *)m;
info.numdia = 0;
info.numtopo = 1;
info.flags = optionnumber;
opt = new Options();
opt->setOutAG(ProcessDiagram, &info);
opt->setOutMG(ProcessTopology, &info);
// opt->setEndMG(fendMG, &info);
opt->values[GRCC_OPT_1PI] = ( optionnumber & ONEPARTICLEIRREDUCIBLE ) == ONEPARTICLEIRREDUCIBLE;
opt->values[GRCC_OPT_NoTadpole] = ( optionnumber & NOTADPOLES ) == NOTADPOLES;
//
// Next are snails:
//
opt->values[GRCC_OPT_No1PtBlock] = ( optionnumber & NOTADPOLES ) == NOTADPOLES;
//
if ( ( optionnumber & WITHINSERTIONS ) == WITHINSERTIONS ) {
opt->values[GRCC_OPT_No2PtL1PI] = True;
opt->values[GRCC_OPT_NoAdj2PtV] = True;
opt->values[GRCC_OPT_No2PtL1PI] = True;
}
else {
opt->values[GRCC_OPT_NoAdj2PtV] = True;
}
opt->values[GRCC_OPT_SymmInitial] = ( optionnumber & WITHSYMMETRIZE ) == WITHSYMMETRIZE;
opt->values[GRCC_OPT_SymmFinal] = ( optionnumber & WITHSYMMETRIZE ) == WITHSYMMETRIZE;
// opt->values[GRCC_OPT_Block] = ( optionnumber & WITHBLOCKS ) == WITHBLOCKS;
opt->setOutputF(False,"");
opt->setOutputP(False,"");
opt->printLevel(babble);
// opt->values[GRCC_OPT_Step] = GRCC_AGraph;
// Load the various arrays.
ninitl = Sets[inset].last - Sets[inset].first;
for ( i = 0; i < ninitl; i++ ) {
x = SetElements[Sets[inset].first+i];
initlPart[i] = ConvertParticle(model,x);
info.legcouple[i] = m->vertices[numParticle(m,x)]->couplings;
}
nfinal = Sets[outset].last - Sets[outset].first;
for ( i = 0; i < nfinal; i++ ) {
x = SetElements[Sets[outset].first+i];
finalPart[i] = ConvertParticle(model,x);
info.legcouple[i+ninitl] = m->vertices[numParticle(m,x)]->couplings;
}
info.numextern = ninitl + nfinal;
for ( i = 2; i <= MAXLEGS; i++ ) {
if ( m->legcouple[i] == 1 ) {
for ( j = 0; j < info.numextern; j++ ) {
if ( info.legcouple[j][i] == 0 ) { info.flags |= CHECKEXTERN; goto Go_on; }
}
}
}
Go_on:;
//
// Now we have to sort out the coupling constants.
// The argument at coupl can be of type -SNUMBER, -SYMBOL or generic
// It has however already be tested for syntax.
// Note that one cannot have 1 for the coupling constants.
// In that case one should select 0 loops or something equivalent.
//
if ( *coupl == -SNUMBER ) { // Number of loops
//
// This is the complicated case.
// We have to compute the number of coupling constants and then
// generate diagrams for all combinations with the proper power.
//
int nc = coupl[1]*2 + ninitl + nfinal - 2;
int *scratch = (int *)Malloc1(nc*sizeof(int),"DistrN");
scratch[0] = -2; // indicating startup cq first call.
if ( ( info.flags & TOPOLOGIESONLY ) == 0 ) {
while ( DistrN(nc,cpl,m->ncouplings,scratch) ) {
proc = new Process(pid, model, opt,
ninitl, initlPart, nfinal, finalPart, cpl);
delete proc;
info.numtopo = 1;
}
}
else {
cpl[0] = nc;
proc = new Process(pid, model, opt,
ninitl, initlPart, nfinal, finalPart, cpl);
delete proc;
}
M_free(scratch,"DistrN");
opt->end();
delete opt;
return(0);
}
else if ( *coupl == -SYMBOL ) { // Just a single power of one constant
for ( i = 0; i < m->ncouplings; i++ ) {
if ( m->couplings[i] == coupl[1] ) {
cpl[i] = 1;
break;
}
}
}
else { // One term with powers of coupling constants
WORD *t, *tstop;
t = coupl + ARGHEAD+3;
tstop = coupl+*coupl; tstop -= ABS(tstop[-1]);
while ( t < tstop ) {
for ( i = 0; i < m->ncouplings; i++ ) {
if ( m->couplings[i] == *t ) {
cpl[i] = t[1];
break;
}
}
t += 2;
}
}
/*
And now the generation:
*/
proc = new Process(pid, model, opt,
ninitl, initlPart, nfinal, finalPart, cpl);
opt->end();
delete proc;
delete opt;
return(0);
}
// #] GenDiagrams :
// #[ processVertex :
// Routine is to be used recursively to work its way through a list
// of possible vertices. The array of vertices is in TopoInf->vert
// with TopoInf->nvert the number of possible vertices.
// Currently we allow in TopoInf->vert only vertices with 3 or more edges.
//
// We work with a point system. Each n-point vertex contributes n-2 points.
// When all points are assigned, we can call mgraph->generate().
//
// The number of vertices of a given number of edges is stored in
// TopoInf->clnum[..] but the loop that determines how many there are
// may be limited by the corresponding element in TopoInf->vertmax[level]
int processVertex(TOPOTYPE *TopoInf, int pointsremaining, int level)
{
int i, j;
for ( i = pointsremaining, j = 0; i >= 0; i -= TopoInf->vert[level]-2, j++ ) {
if ( TopoInf->vertmax && TopoInf->vertmax[level] >= 0
&& j > TopoInf->vertmax[level] ) break;
if ( i == 0 ) { // We got one!
TopoInf->cldeg[TopoInf->ncl] = TopoInf->vert[level];
TopoInf->clnum[TopoInf->ncl] = j;
TopoInf->clext[TopoInf->ncl] = 0;
TopoInf->ncl++;
MGraph *mgraph = new MGraph(1, TopoInf->ncl, TopoInf->cldeg,
TopoInf->clnum, TopoInf->clext,
TopoInf->cmind, TopoInf->cmaxd, TopoInf->opt);
mgraph->generate();
delete mgraph;
TopoInf->ncl--;
break;
}
if ( level < TopoInf->nvert-1 ) {
if ( j > 0 ) {
TopoInf->cldeg[TopoInf->ncl] = TopoInf->vert[level];
TopoInf->clnum[TopoInf->ncl] = j;
TopoInf->clext[TopoInf->ncl] = 0;
TopoInf->ncl++;
}
if ( processVertex(TopoInf,i,level+1) < 0 ) return(-1);
if ( j > 0 ) { TopoInf->ncl--; }
}
}
return(0);
}
// #] processVertex :
// #[ GenTopologies :
#define TOPO_MAXVERT 10
WORD GenTopologies(PHEAD WORD *term, WORD level)
{
Options *opt = new Options;
int nlegs, nloops, i, identical;
TERMINFO info;
WORD *t, *t1, *tstop;
TOPOTYPE TopoInf;
SETS s;
//
info.term = term;
info.level = level;
info.diaoffset = AR.funoffset;
info.flags = 0;
t = term + info.diaoffset; // the function
t1 = t + FUNHEAD; // its arguments
tstop = t + t[1];
info.externalset = t1[7];
info.internalset = t1[9];
s = &(Sets[t1[5]]);
TopoInf.nvert = s->last - s->first;
TopoInf.vert = &(SetElements[s->first]);
nloops = t1[1];
nlegs = t1[3];
info.numextern = nlegs;
for ( i = 0; i <= MAXLEGS; i++ ) { TopoInf.cmind[i] = TopoInf.cmaxd[i] = 0; }
t1 += 10;
if ( t1 < tstop && t1[0] == -SETSET ) {
TopoInf.vertmax = &(SetElements[Sets[t1[1]].first]);
t1 += 2;
}
else TopoInf.vertmax = NULL;