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reducer.c
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reducer.c
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/****************************************************************/
/* This module implements the interaction-net rewriting rules */
/* for reducing the graph representing a lambda term. */
/* Reduction is "weak". It looks for the leftmost outermost */
/* redex, following the main spine of the term. In no redex is */
/* found, termination stops there. This is essentially */
/* equivalent to never reduce inside a lambda: the only */
/* difference is that, since the implementation is optimal, */
/* family reduction is always performed (so, "some" redexes */
/* inside a lambda can be reduced). */
/* During the search for the leftmost outermost redex, the main */
/* spine is saved on an auxiliary stack (this is similar to the */
/* G-machine). */
/* The two variables "redexes" and "counter" are respectively */
/* used to hold the number of app-lambda interactions and the */
/* total number of interactions during the reduction. */
/* The following function are external. */
/* - reduce_term: reduces a term to its weak head (family) */
/* normal form. */
/* The following functions are strictly local to the module: */
/* - reduce_term(): it reduces the input term */
/* - reduce_redex(): it reduces the redex whose interacting */
/* forms are passed as a parameter and the */
/* second form is a INT, NIL, True or False; */
/* - lo_redex(): it looks for the leftmost outemost redex, */
/* saving on the m_stack pointers to the form */
/* along the main spine of the term. */
/****************************************************************/
/****************************************************************/
/* 1. Inclusion of header files. */
/****************************************************************/
#include "bohm.h"
#include <assert.h>
#include <stdio.h>
#include <stdlib.h>
#include <sys/times.h>
/****************************************************************/
/* 2. Inclusion of declarations that are being imported. */
/****************************************************************/
/****************************************************************/
/* 3. Definitions strictly local to the module. */
/****************************************************************/
static int unsafe;
static int optim;
static int fan_int;
static int redexes;
static int max_index;
static int eq=0;
static int type_error;
static void reduce_redex();
static void reduce_form();
static FORM *lo_redex();
static int auxnext;
#ifndef STACK_SIZE
#define STACK_SIZE 10000000
#endif
static FORM *auxstack[STACK_SIZE];
static FORM *pop()
{
FORM *res;
assert(auxnext > 0);
--auxnext;
res = auxstack[auxnext];
auxstack[auxnext] = NULL;
return res;
}
static void push(FORM *f)
{
auxstack[auxnext] = f;
++auxnext;
if(auxnext >= STACK_SIZE) {
printf("Stack Overflow . . .\n");
getchar();
getchar();
}
}
static void init_stack()
{
auxnext = 0;
}
/****************************************************************/
/* 4. Definitions of functions to be exported. */
/****************************************************************/
int fl=0;
int counter;
/* The following function reduces a term to its weak */
/* head (family) normal form. */
void reduce_term(root)
FORM *root;
{
FORM *f1,
*f2;
int ans;
struct tms time;
clock_t usr_time;
clock_t sys_time;
unsafe = 0;
optim = 0;
fan_int = 0;
counter = 0;
eq=0;
redexes = 0;
type_error = false;
max_index=0;
if(seenode){
printf("\n*****************************************************\n");
printf("Initial number of nodes %u\n",num_nodes);
printf("*****************************************************\n");
}
times(&time);
usr_time = time.tms_utime;
sys_time = time.tms_stime;
init_stack();
f1 = lo_redex(root);
reset_garbage();
while ((f1 != root) && (!type_error))
{
if (f1->nport[0]==0) {
f2 = f1->nform[0];
if (f1->index <= f2->index)
{reduce_redex(f1,f2);
if (f2->index > max_index)
max_index = f2->index;}
else
{reduce_redex(f2,f1);
if (f1->index > max_index)
max_index = f1->index;}
}
else
reduce_form(f1);
counter = counter + 1;
f1 = lo_redex(pop());
}
if(!type_error){
times(&time);
usr_time = time.tms_utime - usr_time;
sys_time = time.tms_stime - sys_time;
rdbk(root);
if(seetime){
printf("*****************************************************\n");
printf("Reduction done in %.2f:user ",((double)usr_time / 60));
printf("%.2f:system seconds\n", ((double)sys_time / 60));
printf("*****************************************************\n");
}
if(seenumber){
printf("*****************************************************\n");
printf("Total number of interactions: %u\n", counter);
printf("Total number of APP-LAMBDA redexes: %u\n", redexes);
printf("Proper Interactions:%d\n",eq);
printf("FAN-Interactions:%d\n",fan_int);
printf("Optimization-Rules:%d\n",optim);
printf("Unsafe-Rules:%d\n",unsafe);
printf("Max index:%d\n",max_index);
printf("*****************************************************\n");
}
if((option!=3)&&(seegarb))
show_garb_stat(seetime);
if(seenode)
{
printf("Max. number of nodes seen up to this time %u\n",max_nodes);
printf("Final number of nodes %u\n",num_nodes);
printf("*****************************************************\n");
}
}else
{
printf("---> bad definition, sorry . . .\n");
ans = getchar();
if (ans == 'i') inspect_driver(root);
}
}
/****************************************************************/
/* 5. Definitions of functions strictly local to the module. */
/****************************************************************/
/* The following function reduces the redex whose */
/* interacting forms are passed as a parameter and the */
/* second form is not a INT, NIL, True or False; */
static void
reduce_redex(f1,f2)
FORM *f1,
*f2;
{
FORM *new1,
*new2;
if((option==2)&&(del_head!=NULL)&&(num_nodes>limit))
clean();
if (f1->index == f2->index) {
if (f1->name == f2->name)
switch (f1->name)
{
case FAN:
if ((f1->nlevel[1] != f2->nlevel[1]) ||
(f1->nlevel[2] != f2->nlevel[2]))
printf("warning\n");
connect1(f1->nform[1],
f1->nport[1],
f2->nform[1],
f2->nport[1]);
connect1(f1->nform[2],
f1->nport[2],
f2->nform[2],
f2->nport[2]);
myfree(f1);
myfree(f2);
fan_int++;
break;
case TRIANGLE:
connect1(f1->nform[1],
f1->nport[1],
f2->nform[1],
f2->nport[1]);
myfree(f1);
myfree(f2);
break;
case UNS_FAN1:
case UNS_FAN2:
unsafe++;
connect1(f1->nform[1],
f1->nport[1],
f2->nform[1],
f2->nport[1]);
myfree(f1);
myfree(f2);
fan_int++;
break;
}else
switch (f1->name)
{
case APP:
redexes = redexes +1;
switch(f2->name)
{
case LAMBDA:
eq++;
connect1(f1->nform[1],
f1->nport[1],
f2->nform[1],
f2->nport[1]);
connect1(f2->nform[2],
f2->nport[2],
f1->nform[2],
f1->nport[2]);
myfree(f1);
myfree(f2);
break;
case LAMBDAUNB:
eq++;
connect1(f1->nform[1],
f1->nport[1],
f2->nform[1],
f2->nport[1]);
f1->name = ERASE;
connect1(f1,0,f1->nform[2],f1->nport[2]);
ins_del(f1);
if(option==1)
clean();
myfree(f2);
break;
default:
printf("---> type error1\n");
type_error = true;
break;
}
break;
case CAR:
switch(f2->name)
{
case CONS:
eq++;
connect1(f1->nform[1],
f1->nport[1],
f2->nform[1],
f2->nport[1]);
f1 -> name = ERASE;
connect1(f1,0,f2->nform[2],f2->nport[2]);
ins_del(f1);
if(option==1)
clean();
myfree(f2);
break;
default:
printf("---> type error28 %d\n",f2->name);
type_error = true;
break;
}
break;
case CAR1:
switch(f2->name)
{
case CONS:
eq++;
f1 -> index -= 1;
f1 -> name = FAN;
connect(f1->nform[2], f1->nport[2], f2, 0);
connect1(f1, 0, f2->nform[1], f2->nport[1]);
connect(f1,2,f2,1);
if (f1->nlevel[2]!=0) {
allocate_form(&new1,TRIANGLE,f1->index);
new1->nlevel[1]=f1->nlevel[2];
connect1(new1,0,f2->nform[2],f2->nport[2]);
connect(new1,1,f2,2);
f2->index += f1->nlevel[2];
}
break;
default:
printf("---> type error28 bis %d\n",f2->name);
type_error = true;
break;
}
break;
case CDR:
switch(f2->name)
{
case CONS:
eq++;
connect1(f1->nform[1],
f1->nport[1],
f2->nform[2],
f2->nport[2]);
f1 -> name = ERASE;
connect1(f1,0,f2->nform[1],f2->nport[1]);
ins_del(f1);
if(option==1)
clean();
myfree(f2);
break;
default:
printf("---> type error\n");
type_error = true;
break;
}
break;
case CDR1:
switch(f2->name)
{
case CONS:
eq++;
connect(f1->nform[2], f1->nport[2], f2, 0);
connect1(f1, 0, f2->nform[2], f2->nport[2]);
connect(f1,2,f2,2);
f1 -> name = FAN;
f1 -> index -= 1;
if (f1->nlevel[2]!=0) {
allocate_form(&new1,TRIANGLE,f1->index);
new1->nlevel[1]=f1->nlevel[2];
connect1(new1,0,f2->nform[1],f2->nport[1]);
connect(new1,1,f2,1);
f2->index += f1->nlevel[2];
}
break;
default:
printf("---> type error\n");
type_error = true;
break;
}
break;
case TESTNIL:
switch(f2->name)
{
case CONS:
eq++;
bool_connect(f1->nform[1], f1->nport[1], F);
f1->name=ERASE;
ins_del(f1);
connect(f1,0,f2,0);
if(option == 1)
clean();
break;
default:
printf("---> type error\n");
type_error = true;
break;
}
break;
case TESTNIL1:
switch(f2->name)
{
case CONS:
eq++;
connect(f1->nform[2], f1->nport[2], f2, 0);
bool_connect(f1->nform[1], f1->nport[1], F);
if (f1->nlevel[2]!=0) {
allocate_form(&new1,TRIANGLE,f1->index-1);
new1->nlevel[1]=f1->nlevel[2];
connect1(new1,0,f2->nform[1],f2->nport[1]);
connect(new1,1,f2,1);
f1->name=TRIANGLE;
f1->index--;
f1->nlevel[1]=f1->nlevel[2];
connect1(f1,0,f2->nform[2],f2->nport[2]);
connect(f1,1,f2,2);
f2->index += f1->nlevel[2];
}
else
myfree(f1);
break;
default:
printf("---> type error\n");
type_error = true;
break;
}
break;
case CONS1:
switch (f2->name)
{
case CONS:
if(f1->nport[1]>=0) {
connect1(f1->nform[1],
f1->nport[1],
f2->nform[1],
f2->nport[1]);
}
else {
allocate_form(&new1,ERASE,0);
ins_del(f1);
connect1(new1,0,f2->nform[1],f2->nport[1]);
}
if(f1->nport[2]>=0) {
connect1(f1->nform[2],
f1->nport[2],
f2->nform[2],
f2->nport[2]);
myfree(f2);
}
else {
f2->name=ERASE;
ins_del(f2);
connect(f2,0,f2->nform[1],f2->nport[1]);
}
myfree(f1);
eq++;
break;
default:
printf("---> type error\n");
type_error = true;
break;
}
break;
case UNS_FAN1:
unsafe++;
fan_int++;
switch(f2->name)
{
case FAN:
connect1(f1->nform[1],f1->nport[1],
f2->nform[2],f2->nport[2]);
f1->name = ERASE;
connect1(f1,0,f2->nform[1],f2->nport[1]);
ins_del(f1);
if(option==1)
clean();
myfree(f2);
break;
case UNS_FAN2:
f1 -> name = ERASE;
f2 -> name = ERASE;
connect1(f1,0,f1->nform[1],f1->nport[1]);
connect1(f2,0,f2->nform[1],f2->nport[1]);
ins_del(f1);
ins_del(f2);
if(option==1);
clean();
break;
default:
printf("deadlock1\n");
exit(1);
}
break;
case UNS_FAN2:
unsafe++;
fan_int++;
switch(f2->name)
{
case FAN:
connect1(f1->nform[1],f1->nport[1],
f2->nform[1],f2->nport[1]);
f1 -> name = ERASE;
connect1(f1,0,f2->nform[2],f2->nport[2]);
ins_del(f1);
if(option==1)
clean();
myfree(f2);
break;
case UNS_FAN1:
f1 -> name = ERASE;
f2 -> name = ERASE;
connect1(f1,0,f1->nform[1],f1->nport[1]);
connect1(f2,0,f2->nform[1],f2->nport[1]);
ins_del(new1);
ins_del(new2);
if(option==1);
clean();
break;
default:
printf("deadlock\n");
exit(1);
}
break;
case FAN:
fan_int++;
switch(f2->name)
{
case UNS_FAN1:
unsafe++;
connect1(f1->nform[2],f1->nport[2],
f2->nform[1],f2->nport[1]);
f1 -> name = ERASE;
connect1(f1,0,f1->nform[1],f1->nport[1]);
ins_del(f1);
if(option==1)
clean();
myfree(f2);
break;
case UNS_FAN2:
unsafe++;
connect1(f1->nform[1],f1->nport[1],
f2->nform[1],f2->nport[1]);
f1 -> name = ERASE;
connect1(f1,0,f1->nform[2],f1->nport[2]);
ins_del(f1);
if(option==1)
clean();
myfree(f2);
break;
default:
printf("deadlock\n");
exit(1);
}
break;
default:
printf("deadlock\n");
exit(1);
}
}
else{ /* f1.index < f2.index */
switch (f1->name)
{
case FAN:
if (f2->name != TRIANGLE) fan_int++;
if (f2->name == LAMBDA)
f1->num_safe=false;
switch (f2->name)
{
case CONS:
case EQ:
case NOTEQ:
case LEQ:
case MEQ:
case MORE:
case LESS:
case ADD:
case SUB:
case PROD:
case DIV:
case MOD:
case AND:
case OR:
case IFELSE:
case APP:
case LAMBDA:
allocate_form(&new1,f2->name,f2->index+f1->nlevel[2]);
f2->index = f2->index+f1->nlevel[1];
allocate_form(&new2,FAN,f1->index);
new2->num_safe=f1->num_safe;
new2->nlevel[1] = f1->nlevel[1];
new2->nlevel[2] = f1->nlevel[2];
connect1(f2, 0, f1->nform[1], f1->nport[1]);
connect1(new1, 0, f1->nform[2], f1->nport[2]);
connect1(new2, 0, f2->nform[1], f2->nport[1]);
connect1(f1, 0, f2->nform[2], f2->nport[2]);
connect(f1,1,f2,2);
connect(f1,2,new1,2);
connect(f2,1,new2,1);
connect(new1,1,new2,2);
break;
case FAN:
case TESTNIL1:
case CAR1:
case CDR1:
case CONS1:
allocate_form(&new1,f2->name,f2->index+f1->nlevel[2]);
f2->index = f2->index+f1->nlevel[1];
new1->num_safe=f2->num_safe;
new1->nlevel[1] = f2->nlevel[1];
new1->nlevel[2] = f2->nlevel[2];
allocate_form(&new2,FAN,f1->index);
new2->num_safe=f1->num_safe;
new2->nlevel[1] = f1->nlevel[1];
new2->nlevel[2] = f1->nlevel[2];
connect1(f2, 0, f1->nform[1], f1->nport[1]);
connect1(new1, 0, f1->nform[2], f1->nport[2]);
connect1(new2, 0, f2->nform[1], f2->nport[1]);
connect1(f1, 0, f2->nform[2], f2->nport[2]);
connect(f1,1,f2,2);
connect(f1,2,new1,2);
connect(f2,1,new2,1);
connect(new1,1,new2,2);
break;
case UNS_FAN1:
case UNS_FAN2:
unsafe++;
case TRIANGLE:
allocate_form(&new1,f2->name,f2->index+f1->nlevel[2]);
new1->num_safe=f2->num_safe;
new1->nlevel[1] = f2->nlevel[1];
f2->index = f2->index+f1->nlevel[1];
connect1(f2, 0, f1->nform[1], f1->nport[1]);
connect1(new1 , 0, f1->nform[2], f1->nport[2]);
connect1(f1, 0, f2->nform[1], f2->nport[1]);
connect(f1,1,f2,1);
connect(f1,2,new1,1);
break;
case TESTNIL:
case CAR:
case CDR:
case NOT:
case LAMBDAUNB:
case EQ1:
case NOTEQ1:
case LEQ1:
case MEQ1:
case MORE1:
case LESS1:
case ADD1:
case SUB1:
case PROD1:
case DIV1:
case MOD1:
allocate_form(&new1,f2->name,f2->index+f1->nlevel[2]);
new1->num_safe=f2->num_safe;
new1->nform[2]=f2->nform[2];
f2->index = f2->index+f1->nlevel[1];
connect1(f2, 0, f1->nform[1], f1->nport[1]);
connect1(new1, 0, f1->nform[2], f1->nport[2]);
connect1(f1, 0, f2->nform[1], f2->nport[1]);
connect(f1,1,f2,1);
connect(f1,2,new1,1);
break;
}
break;
case UNS_FAN1:
case UNS_FAN2:
if (f2->name != TRIANGLE) fan_int++;
unsafe++;
case TRIANGLE:
if (f2->name == LAMBDA)
f1->num_safe = false;
switch (f2->name)
{
case CONS:
case EQ:
case NOTEQ:
case LEQ:
case MEQ:
case MORE:
case LESS:
case ADD:
case SUB:
case PROD:
case DIV:
case MOD:
case AND:
case OR:
case IFELSE:
case APP:
case LAMBDA:
case FAN:
case TESTNIL1:
case CAR1:
case CDR1:
case CONS1:
allocate_form(&new1,f1->name,f1->index);
new1->nlevel[1] = f1->nlevel[1];
new1->num_safe=f1->num_safe;
f2->index = f2->index + f1->nlevel[1];
connect1(f2, 0, f1->nform[1], f1->nport[1]);
connect1(new1, 0, f2->nform[1], f2->nport[1]);
connect1(f1, 0, f2->nform[2], f2->nport[2]);
connect(f1,1,f2,2);
connect(new1,1,f2,1);
break;
case TESTNIL:
case CAR:
case CDR:
case EQ1:
case NOTEQ1:
case LEQ1:
case MEQ1:
case MORE1:
case LESS1:
case ADD1:
case SUB1:
case PROD1:
case DIV1:
case MOD1:
case NOT:
case TRIANGLE:
case LAMBDAUNB:
case UNS_FAN1:
case UNS_FAN2:
f2->index = f2->index + f1->nlevel[1];
connect1(f2, 0, f1->nform[1], f1->nport[1]);
connect1(f1, 0, f2->nform[1], f2->nport[1]);
connect(f1,1,f2,1);
break;
}
break;
}
}
}
/* The following function reduces the redex whose */
/* interacting forms are passed as a parameter and the */
/* second form is a INT, NIL, True or False; */
static void
reduce_form(f1)
FORM *f1;
{
FORM *tmp;
switch (f1->name) {
case IFELSE:
switch(f1->nport[0])
{
case T:
eq++;
f1->name = CAR;
connect(f1, 0, f1->nform[2], f1->nport[2]);
break;
case F:
eq++;
f1->name = CDR;
connect(f1, 0, f1->nform[2], f1->nport[2]);
break;
default:
printf("---> type error2\n");
type_error = true;
break;
}
break;
case AND:
switch(f1->nport[0])
{
case F:
eq++;
bool_connect(f1->nform[1], f1->nport[1], F);
f1 -> name = ERASE;
connect1(f1,0,f1->nform[2],f1->nport[2]);
ins_del(f1);
if(option==1)
clean();
break;
case T:
eq++;
connect1(f1->nform[1],
f1->nport[1],
f1->nform[2],
f1->nport[2]);
myfree(f1);
break;
default:
printf("---> type error3\n");
type_error = true;
break;
}
break;
case OR:
switch(f1->nport[0])
{
case T:
eq++;
bool_connect(f1->nform[1], f1->nport[1], T);
f1 -> name = ERASE;
connect1(f1,0,f1->nform[2],f1->nport[2]);
ins_del(f1);
if(option==1)
clean();
break;
case F:
eq++;
connect1(f1->nform[1],
f1->nport[1],
f1->nform[2],
f1->nport[2]);
myfree(f1);
break;
default:
printf("---> type error4\n");
type_error = true;
break;
}
break;
case NOT:
switch(f1->nport[0])
{
case T:
eq++;
bool_connect(f1->nform[1], f1->nport[1], F);
myfree(f1);
break;
case F:
eq++;
bool_connect(f1->nform[1], f1->nport[1], T);
myfree(f1);
break;
default:
printf("---> type error5\n");
type_error = true;
break;
}
break;
case LESS:
if (f1->nport[0]==INT) {
eq++;
f1 -> name = LESS1;
tmp = f1->nform[0];
connect1(f1, 0, f1->nform[2], f1->nport[2]);
f1->nform[2]=tmp;
break;
}
else {
printf("---> type error6\n");
type_error = true;
break;
}
break;
case LESS1:
if (f1->nport[0]==INT) {
eq++;
if(f1->nform[2] < f1->nform[0])
bool_connect(f1->nform[1], f1->nport[1], T);
else
bool_connect(f1->nform[1], f1->nport[1], F);
myfree(f1);
break;
}
else {
printf("---> type error7\n");
type_error = true;
break;
}
break;
case EQ:
if (f1->nport[0]==INT) {
eq++;
f1 -> name = EQ1;
tmp = f1->nform[0];
connect1(f1, 0, f1->nform[2], f1->nport[2]);
f1->nform[2] = tmp;
break;
}
else {
printf("---> type error8\n");
type_error = true;
break;
}
break;
case EQ1:
if (f1->nport[0]==INT) {
eq++;
if(f1->nform[2] == f1->nform[0])
bool_connect(f1->nform[1], f1->nport[1], T);
else
bool_connect(f1->nform[1], f1->nport[1], F);
myfree(f1);
break;
}
else {
printf("---> type error9\n");
type_error = true;
break;
}
break;
case NOTEQ:
if (f1->nport[0]==INT) {
eq++;
f1 -> name = NOTEQ1;
tmp = f1->nform[0];
connect1(f1, 0, f1->nform[2], f1->nport[2]);
f1->nform[2]=tmp;
break;
}
else {
printf("---> type error10\n");
type_error = true;
break;
}
break;
case NOTEQ1:
if (f1->nport[0]==INT) {
eq++;
if(f1->nform[2] != f1->nform[0])
bool_connect(f1->nform[1], f1->nport[1], T);
else
bool_connect(f1->nform[1], f1->nport[1], F);
myfree(f1);
break;
}
else {
printf("---> type error11\n");
type_error = true;
break;
}
break;
case LEQ:
if (f1->nport[0]==INT) {
eq++;
f1 -> name = LEQ1;
tmp = f1->nform[0];
connect1(f1, 0, f1->nform[2], f1->nport[2]);
f1->nform[2]=tmp;
break;
}
else {
printf("---> type error12\n");
type_error = true;
break;