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inst_hard.c
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inst_hard.c
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/*********************************************************************
*
* 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, write to the Free Software
* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
*
*********************************************************************/
/*********************************************************************
* File: inst_hard.c
* Description: functions for multiplying hard operators.
*
*
* Author: Joerg Hoffmann 2000
*
*********************************************************************/
#include "ff.h"
#include "output.h"
#include "memory.h"
#include "expressions.h"
#include "inst_pre.h"
#include "inst_hard.h"
/* used in multiplying routines
*/
int linst_table[MAX_VARS];
int_pointer lini[MAX_PREDICATES];
void build_hard_action_templates( void )
{
int i, j, size, adr;
MixedOperator *o;
/* remove unused params; empty types are already recognised during
* domain translation; have to be handled after (or while)
* unaries encoding (if done), though.
*/
cleanup_hard_domain();
if ( gcmd_line.display_info == 115 ) {
printf("\n\ncleaned up hard domain representation is:\n\n");
for ( i = 0; i < gnum_hard_operators; i++ ) {
print_Operator( ghard_operators[i] );
}
fflush( stdout );
}
/* create local table of instantiated facts that occur in the
* initial state. for fast finding out if fact is in ini or not.
*/
for ( i = 0; i < gnum_predicates; i++ ) {
size = 1;
for ( j = 0; j < garity[i]; j++ ) {
size *= gnum_constants;
}
lini[i] = ( int_pointer ) calloc( size, sizeof( int ) );
for ( j = 0; j < size; j++ ) {
lini[i][j] = 0;
}
for ( j = 0; j < gnum_initial_predicate[i]; j++ ) {
adr = instantiated_fact_adress( &ginitial_predicate[i][j] );
lini[i][adr]++;
}
}
/* create mixed op for each param combination
*/
multiply_hard_op_parameters();
if ( gcmd_line.display_info == 116 ) {
printf("\n\nmixed hard domain representation is:\n\n");
for ( o = ghard_mixed_operators; o; o = o->next ) {
print_MixedOperator( o );
}
fflush( stdout );
}
/* create pseudo op for each mixed op
*/
multiply_hard_effect_parameters();
if ( gcmd_line.display_info == 117 ) {
printf("\n\npseudo hard domain representation is:\n\n");
for ( i = 0; i < gnum_hard_templates; i++ ) {
print_PseudoAction( ghard_templates[i] );
}
fflush( stdout );
}
}
/****************
* CLEANUP CODE *
****************/
void cleanup_hard_domain( void )
{
int i, j, k, par;
Operator *o;
Effect *e;
/* so far, only unused parameters removal
*/
for ( i = 0; i < gnum_hard_operators; i++ ) {
o = ghard_operators[i];
j = 0;
while ( j < o->num_vars ) {
if ( var_used_in_wff( ENCODE_VAR( j ), o->preconds ) ) {
j++;
continue;
}
for ( e = o->effects; e; e = e->next ) {
if ( var_used_in_wff( ENCODE_VAR( j ), e->conditions ) ) {
break;
}
if ( var_used_in_literals( ENCODE_VAR( j ), e->effects ) ) {
break;
}
if ( var_used_in_numeric_effects( ENCODE_VAR( j ), e->numeric_effects ) ) {
break;
}
}
if ( e ) {
j++;
continue;
}
o->removed[j] = TRUE;
j++;
}
for ( e = o->effects; e; e = e->next ) {
j = 0;
while ( j < e->num_vars ) {
par = o->num_vars + j;
if ( var_used_in_wff( ENCODE_VAR( par ), e->conditions ) ) {
j++;
continue;
}
if ( var_used_in_literals( ENCODE_VAR( par ), e->effects ) ) {
j++;
continue;
}
if ( var_used_in_numeric_effects( ENCODE_VAR( par ), e->numeric_effects ) ) {
j++;
continue;
}
if ( e->var_names[j] ) {
free( e->var_names[j] );
}
for ( k = j; k < e->num_vars - 1; k++ ) {
e->var_names[k] = e->var_names[k+1];
e->var_names[k] = e->var_names[k+1];
}
e->num_vars--;
decrement_inferior_vars( par, e->conditions );
decrement_inferior_vars_in_literals( par, e->effects );
decrement_inferior_vars_in_numeric_effects( par, e->numeric_effects );
}
}
}
}
Bool var_used_in_literals( int code_var, Literal *ef )
{
Literal *l;
int i;
for ( l = ef; l; l = l->next ) {
for ( i = 0; i < garity[l->fact.predicate]; i++ ) {
if ( l->fact.args[i] == code_var ) {
return TRUE;
}
}
}
return FALSE;
}
Bool var_used_in_numeric_effects( int code_var, NumericEffect *ef )
{
NumericEffect *l;
int i;
for ( l = ef; l; l = l->next ) {
for ( i = 0; i < gf_arity[l->fluent.function]; i++ ) {
if ( l->fluent.args[i] == code_var ) {
return TRUE;
}
}
if ( var_used_in_exp( code_var, l->rh ) ) {
return TRUE;
}
}
return FALSE;
}
void decrement_inferior_vars_in_literals( int var, Literal *ef )
{
Literal *l;
int i;
for ( l = ef; l; l = l->next ) {
for ( i = 0; i < garity[l->fact.predicate]; i++ ) {
if ( l->fact.args[i] >= 0 ) {
continue;
}
if ( DECODE_VAR( l->fact.args[i] ) > var ) {
l->fact.args[i]++;
}
}
}
}
void decrement_inferior_vars_in_numeric_effects( int var, NumericEffect *ef )
{
NumericEffect *l;
int i;
for ( l = ef; l; l = l->next ) {
for ( i = 0; i < gf_arity[l->fluent.function]; i++ ) {
if ( l->fluent.args[i] >= 0 ) {
continue;
}
if ( DECODE_VAR( l->fluent.args[i] ) > var ) {
l->fluent.args[i]++;
}
}
decrement_inferior_vars_in_exp( var, l->rh );
}
}
/******************************
* CODE THAT BUILDS MIXED OPS *
******************************/
void multiply_hard_op_parameters( void )
{
int i;
ghard_mixed_operators = NULL;
for ( i = 0; i < MAX_VARS; i++ ) {
linst_table[i] = -1;
}
for ( i = 0; i < gnum_hard_operators; i++ ) {
create_hard_mixed_operators( ghard_operators[i], 0 );
}
}
void create_hard_mixed_operators( Operator *o, int curr_var )
{
int t, i, m, mn;
WffNode *tmp1, *w, *ww;
MixedOperator *tmp2;
if ( curr_var < o->num_vars ) {
if ( o->removed[curr_var] ) {
/* param doesn't matter -- select any appropriate type constant
* at least one there; otherwise, op would not have been translated.
*/
linst_table[curr_var] = gtype_consts[o->var_types[curr_var]][0];
create_hard_mixed_operators( o, curr_var + 1 );
linst_table[curr_var] = -1;
return;
}
t = o->var_types[curr_var];
for ( i = 0; i < gtype_size[t]; i++ ) {
linst_table[curr_var] = gtype_consts[t][i];
create_hard_mixed_operators( o, curr_var + 1 );
linst_table[curr_var] = -1;
}
return;
}
tmp1 = instantiate_wff( o->preconds );
if ( tmp1->connective == FAL ) {
free_WffNode( tmp1 );
return;
}
dnf( &tmp1 );
cleanup_wff( &tmp1 );
if ( tmp1->connective == FAL ) {
free_WffNode( tmp1 );
return;
}
/* only debugging, REMOVE LATER
*/
if ( is_dnf( tmp1 ) == -1 ) {
printf("\n\nILLEGAL DNF %s AFTER INSTANTIATION\n\n", o->name);
print_Wff( tmp1, 0 );
exit( 1 );
}
switch ( tmp1->connective ) {
case OR:
for ( w = tmp1->sons; w; w = w->next ) {
tmp2 = new_MixedOperator( o );
for ( i = 0; i < o->num_vars; i++ ) {
tmp2->inst_table[i] = linst_table[i];
}
if ( w->connective == AND ) {
m = 0;
mn = 0;
for ( ww = w->sons; ww; ww = ww->next ) {
if ( ww->connective == ATOM ) m++;
if ( ww->connective == COMP ) mn++;
}
tmp2->preconds = ( Fact * ) calloc( m, sizeof( Fact ) );
tmp2->numeric_preconds_comp = ( Comparator * ) calloc( mn, sizeof( Comparator ) );
tmp2->numeric_preconds_lh = ( ExpNode_pointer * ) calloc( mn, sizeof( ExpNode_pointer ) );
tmp2->numeric_preconds_rh = ( ExpNode_pointer * ) calloc( mn, sizeof( ExpNode_pointer ) );
tmp2->num_preconds = m;
tmp2->num_numeric_preconds = mn;
m = 0; mn = 0;
for ( ww = w->sons; ww; ww = ww->next ) {
if ( ww->connective == ATOM ) {
tmp2->preconds[m].predicate = ww->fact->predicate;
for ( i = 0; i < garity[ww->fact->predicate]; i++ ) {
tmp2->preconds[m].args[i] = ww->fact->args[i];
}
m++;
}
if ( ww->connective == COMP ) {
tmp2->numeric_preconds_comp[mn] = ww->comp;
tmp2->numeric_preconds_lh[mn] = copy_Exp( ww->lh );
tmp2->numeric_preconds_rh[mn] = copy_Exp( ww->rh );
mn++;
}
}
} else {
if ( w->connective == ATOM ) {
tmp2->preconds = ( Fact * ) calloc( 1, sizeof( Fact ) );
tmp2->num_preconds = 1;
tmp2->preconds[0].predicate = w->fact->predicate;
for ( i = 0; i < garity[w->fact->predicate]; i++ ) {
tmp2->preconds[0].args[i] = w->fact->args[i];
}
}
if ( w->connective == COMP ) {
tmp2->numeric_preconds_comp = ( Comparator * ) calloc( 1, sizeof( Comparator ) );
tmp2->numeric_preconds_lh = ( ExpNode_pointer * ) calloc( 1, sizeof( ExpNode_pointer ) );
tmp2->numeric_preconds_rh = ( ExpNode_pointer * ) calloc( 1, sizeof( ExpNode_pointer ) );
tmp2->numeric_preconds_comp[0] = w->comp;
tmp2->numeric_preconds_lh[0] = copy_Exp( w->lh );
tmp2->numeric_preconds_rh[0] = copy_Exp( w->rh );
tmp2->num_numeric_preconds = 1;
}
}
tmp2->effects = instantiate_Effect( o->effects );
tmp2->next = ghard_mixed_operators;
ghard_mixed_operators = tmp2;
gnum_hard_mixed_operators++;
}
break;
case AND:
tmp2 = new_MixedOperator( o );
for ( i = 0; i < o->num_vars; i++ ) {
tmp2->inst_table[i] = linst_table[i];
}
m = 0;
mn = 0;
for ( w = tmp1->sons; w; w = w->next ) {
if ( w->connective == ATOM ) m++;
if ( w->connective == COMP ) mn++;
}
tmp2->preconds = ( Fact * ) calloc( m, sizeof( Fact ) );
tmp2->numeric_preconds_comp = ( Comparator * ) calloc( mn, sizeof( Comparator ) );
tmp2->numeric_preconds_lh = ( ExpNode_pointer * ) calloc( mn, sizeof( ExpNode_pointer ) );
tmp2->numeric_preconds_rh = ( ExpNode_pointer * ) calloc( mn, sizeof( ExpNode_pointer ) );
tmp2->num_preconds = m;
tmp2->num_numeric_preconds = mn;
m = 0; mn = 0;
for ( w = tmp1->sons; w; w = w->next ) {
if ( w->connective == ATOM ) {
tmp2->preconds[m].predicate = w->fact->predicate;
for ( i = 0; i < garity[w->fact->predicate]; i++ ) {
tmp2->preconds[m].args[i] = w->fact->args[i];
}
m++;
}
if ( w->connective == COMP ) {
tmp2->numeric_preconds_comp[mn] = w->comp;
tmp2->numeric_preconds_lh[mn] = copy_Exp( w->lh );
tmp2->numeric_preconds_rh[mn] = copy_Exp( w->rh );
mn++;
}
}
tmp2->effects = instantiate_Effect( o->effects );
tmp2->next = ghard_mixed_operators;
ghard_mixed_operators = tmp2;
gnum_hard_mixed_operators++;
break;
case ATOM:
tmp2 = new_MixedOperator( o );
for ( i = 0; i < o->num_vars; i++ ) {
tmp2->inst_table[i] = linst_table[i];
}
tmp2->preconds = ( Fact * ) calloc( 1, sizeof( Fact ) );
tmp2->num_preconds = 1;
tmp2->preconds[0].predicate = tmp1->fact->predicate;
for ( i = 0; i < garity[tmp1->fact->predicate]; i++ ) {
tmp2->preconds[0].args[i] = tmp1->fact->args[i];
}
tmp2->effects = instantiate_Effect( o->effects );
tmp2->next = ghard_mixed_operators;
ghard_mixed_operators = tmp2;
gnum_hard_mixed_operators++;
break;
case COMP:
tmp2 = new_MixedOperator( o );
for ( i = 0; i < o->num_vars; i++ ) {
tmp2->inst_table[i] = linst_table[i];
}
tmp2->numeric_preconds_comp = ( Comparator * ) calloc( 1, sizeof( Comparator ) );
tmp2->numeric_preconds_lh = ( ExpNode_pointer * ) calloc( 1, sizeof( ExpNode_pointer ) );
tmp2->numeric_preconds_rh = ( ExpNode_pointer * ) calloc( 1, sizeof( ExpNode_pointer ) );
tmp2->numeric_preconds_comp[0] = tmp1->comp;
tmp2->numeric_preconds_lh[0] = copy_Exp( tmp1->lh );
tmp2->numeric_preconds_rh[0] = copy_Exp( tmp1->rh );
tmp2->num_numeric_preconds = 1;
tmp2->effects = instantiate_Effect( o->effects );
tmp2->next = ghard_mixed_operators;
ghard_mixed_operators = tmp2;
gnum_hard_mixed_operators++;
break;
case TRU:
tmp2 = new_MixedOperator( o );
for ( i = 0; i < o->num_vars; i++ ) {
tmp2->inst_table[i] = linst_table[i];
}
tmp2->effects = instantiate_Effect( o->effects );
tmp2->next = ghard_mixed_operators;
ghard_mixed_operators = tmp2;
gnum_hard_mixed_operators++;
break;
default:
printf("\n\nillegal connective %d in parsing DNF precond.\n\n",
tmp1->connective);
exit( 1 );
}
free_WffNode( tmp1 );
}
Effect *instantiate_Effect( Effect *e )
{
Effect *res = NULL, *tmp, *i;
Literal *tt, *l;
NumericEffect *ne, *ttt;
int j;
for ( i = e; i; i = i->next ) {
tmp = new_Effect();
for ( j = 0; j < i->num_vars; j++ ) {
tmp->var_types[j] = i->var_types[j];
}
tmp->num_vars = i->num_vars;
tmp->conditions = instantiate_wff( i->conditions );
if ( tmp->conditions->connective == FAL ) {
free_partial_Effect( tmp );
continue;
}
for ( l = i->effects; l; l = l->next ) {
tt = new_Literal();
tt->negated = l->negated;
tt->fact.predicate = l->fact.predicate;
for ( j = 0; j < garity[tt->fact.predicate]; j++ ) {
tt->fact.args[j] = l->fact.args[j];
if ( tt->fact.args[j] < 0 &&
linst_table[DECODE_VAR( tt->fact.args[j] )] != -1 ) {
tt->fact.args[j] = linst_table[DECODE_VAR( tt->fact.args[j] )];
}
}
tt->next = tmp->effects;
if ( tmp->effects ) {
tmp->effects->prev = tt;
}
tmp->effects = tt;
}
for ( ne = i->numeric_effects; ne; ne = ne->next ) {
ttt = new_NumericEffect();
ttt->neft = ne->neft;
ttt->fluent.function = ne->fluent.function;
for ( j = 0; j < gf_arity[ttt->fluent.function]; j++ ) {
ttt->fluent.args[j] = ne->fluent.args[j];
if ( ttt->fluent.args[j] < 0 &&
linst_table[DECODE_VAR( ttt->fluent.args[j] )] != -1 ) {
ttt->fluent.args[j] = linst_table[DECODE_VAR( ttt->fluent.args[j] )];
}
}
ttt->rh = copy_Exp( ne->rh );
instantiate_exp( &(ttt->rh) );
ttt->next = tmp->numeric_effects;
if ( tmp->numeric_effects ) {
tmp->numeric_effects->prev = ttt;
}
tmp->numeric_effects = ttt;
}
tmp->next = res;
if ( res ) {
res->prev = tmp;
}
res = tmp;
}
return res;
}
WffNode *instantiate_wff( WffNode *w )
{
WffNode *res = NULL, *tmp, *i;
int j, m, h;
Bool ok, ct;
switch ( w->connective ) {
case AND:
m = 0;
i = w->sons;
while ( i ) {
tmp = instantiate_wff( i );
if ( tmp->connective == FAL ) {
free_WffNode( res );
return tmp;
}
if ( tmp->connective == TRU ) {
free( tmp );
i = i->next;
continue;
}
tmp->next = res;
if ( res ) {
res->prev = tmp;
}
res = tmp;
i = i->next;
m++;
}
if ( m == 0 ) {
res = new_WffNode( TRU );
break;
}
if ( m == 1 ) {
break;
}
tmp = new_WffNode( AND );
tmp->sons = res;
res = tmp;
break;
case OR:
m = 0;
i = w->sons;
while ( i ) {
tmp = instantiate_wff( i );
if ( tmp->connective == TRU ) {
free_WffNode( res );
return tmp;
}
if ( tmp->connective == FAL ) {
free( tmp );
i = i->next;
continue;
}
tmp->next = res;
if ( res ) {
res->prev = tmp;
}
res = tmp;
i = i->next;
m++;
}
if ( m == 0 ) {
res = new_WffNode( FAL );
break;
}
if ( m == 1 ) {
break;
}
tmp = new_WffNode( OR );
tmp->sons = res;
res = tmp;
break;
case ATOM:
res = new_WffNode( ATOM );
res->fact = new_Fact();
res->fact->predicate = w->fact->predicate;
ok = TRUE;
for ( j = 0; j < garity[res->fact->predicate]; j++ ) {
h = ( w->fact->args[j] < 0 ) ?
linst_table[DECODE_VAR( w->fact->args[j] )] : w->fact->args[j];
if ( h < 0 ) {
ok = FALSE;
res->fact->args[j] = w->fact->args[j];
} else {
res->fact->args[j] = h;
}
}
if ( !ok ) {/* contains ef params */
break;
}
if ( !full_possibly_negative( res->fact ) ) {
free( res->fact );
res->fact = NULL;
res->connective = TRU;
break;
}
if ( !full_possibly_positive( res->fact ) ) {
free( res->fact );
res->fact = NULL;
res->connective = FAL;
break;
}
break;
case COMP:
res = new_WffNode( COMP );
res->comp = w->comp;
res->lh = copy_Exp( w->lh );
res->rh = copy_Exp( w->rh );
instantiate_exp( &(res->lh) );
instantiate_exp( &(res->rh) );
if ( res->lh->connective != NUMBER ||
res->rh->connective != NUMBER ) {
/* logical simplification only possible if both parts are numbers
*/
break;
}
ct = number_comparison_holds( res->comp, res->lh->value, res->rh->value );
if ( ct ) {
res->connective = TRU;
free_ExpNode( res->lh );
res->lh = NULL;
free_ExpNode( res->rh );
res->rh = NULL;
res->comp = -1;
} else {
res->connective = FAL;
free_ExpNode( res->lh );
res->lh = NULL;
free_ExpNode( res->rh );
res->rh = NULL;
res->comp = -1;
}
break;
case TRU:
case FAL:
res = new_WffNode( w->connective );
break;
default:
printf("\n\nillegal connective %d in instantiate formula\n\n",
w->connective);
exit( 1 );
}
return res;
}
void instantiate_exp( ExpNode **n )
{
int j, f, k, h;
Bool ok;
switch ( (*n)->connective ) {
case AD:
instantiate_exp( &((*n)->leftson) );
instantiate_exp( &((*n)->rightson) );
if ( (*n)->leftson->connective != NUMBER ||
(*n)->rightson->connective != NUMBER ) {
break;
}
(*n)->connective = NUMBER;
(*n)->value = (*n)->leftson->value + (*n)->rightson->value;
free_ExpNode( (*n)->leftson );
(*n)->leftson = NULL;
free_ExpNode( (*n)->rightson );
(*n)->rightson = NULL;
break;
case SU:
instantiate_exp( &((*n)->leftson) );
instantiate_exp( &((*n)->rightson) );
if ( (*n)->leftson->connective != NUMBER ||
(*n)->rightson->connective != NUMBER ) {
break;
}
(*n)->connective = NUMBER;
(*n)->value = (*n)->leftson->value - (*n)->rightson->value;
free_ExpNode( (*n)->leftson );
(*n)->leftson = NULL;
free_ExpNode( (*n)->rightson );
(*n)->rightson = NULL;
break;
case MU:
instantiate_exp( &((*n)->leftson) );
instantiate_exp( &((*n)->rightson) );
if ( (*n)->leftson->connective != NUMBER ||
(*n)->rightson->connective != NUMBER ) {
break;
}
(*n)->connective = NUMBER;
(*n)->value = (*n)->leftson->value * (*n)->rightson->value;
free_ExpNode( (*n)->leftson );
(*n)->leftson = NULL;
free_ExpNode( (*n)->rightson );
(*n)->rightson = NULL;
break;
case DI:
instantiate_exp( &((*n)->leftson) );
instantiate_exp( &((*n)->rightson) );
if ( (*n)->leftson->connective != NUMBER ||
(*n)->rightson->connective != NUMBER ) {
break;
}
if ( (*n)->rightson->value == 0 ) {
/* kind of unclean: simply leave that in here;
* we will later determine the right thing
* to do with it.
*/
break;
}
(*n)->connective = NUMBER;
(*n)->value = (*n)->leftson->value / (*n)->rightson->value;
free_ExpNode( (*n)->leftson );
(*n)->leftson = NULL;
free_ExpNode( (*n)->rightson );
(*n)->rightson = NULL;
break;
case MINUS:
instantiate_exp( &((*n)->son) );
if ( (*n)->son->connective != NUMBER ) break;
(*n)->connective = NUMBER;
(*n)->value = ((float) (-1)) * (*n)->son->value;
free_ExpNode( (*n)->son );
(*n)->son = NULL;
break;
case NUMBER:
break;
case FHEAD:
f = (*n)->fluent->function;
ok = TRUE;
for ( j = 0; j < gf_arity[f]; j++ ) {
h = ( (*n)->fluent->args[j] < 0 ) ?
linst_table[DECODE_VAR( (*n)->fluent->args[j] )] : (*n)->fluent->args[j];
if ( h < 0 ) {
ok = FALSE;
} else {
(*n)->fluent->args[j] = h;
}
}
if ( !ok ) {
break;
}
/* we handle only the case where the fluent is fully instantiated,
* static, and in the initial state.
*/
if ( gis_changed[f] ) break;
for ( j = 0; j < gnum_initial_function[f]; j++ ) {
for ( k = 0; k < gf_arity[f]; k++ ) {
if ( ginitial_function[f][j].fluent.args[k] !=
(*n)->fluent->args[k] ) break;
}
if ( k < gf_arity[f] ) continue;
(*n)->connective = NUMBER;
(*n)->value = ginitial_function[f][j].value;
break;
}
break;
default:
printf("\n\ninst exp: wrong specifier %d",
(*n)->connective);
exit( 1 );
}
}
Bool full_possibly_positive( Fact *f )
{
int adr;
if ( gis_added[f->predicate] ) {
return TRUE;
}
adr = instantiated_fact_adress( f );
if ( lini[f->predicate][adr] > 0 ) {
return TRUE;
} else {
return FALSE;
}
}
Bool full_possibly_negative( Fact *f )
{
int adr;
if ( gis_deleted[f->predicate] ) {
return TRUE;
}
adr = instantiated_fact_adress( f );
if ( lini[f->predicate][adr] > 0 ) {
return FALSE;
} else {
return TRUE;
}
}
int instantiated_fact_adress( Fact *f )
{
int r = 0, b = 1, i;
for ( i = 0; i < garity[f->predicate]; i++ ) {
r += b * f->args[i];
b *= gnum_constants;
}
return r;
}