This commit is contained in:
aiju 2018-03-28 17:08:30 +00:00
parent 80474f7f59
commit 382d37dbf0
8 changed files with 1783 additions and 0 deletions

525
sys/src/cmd/forp/cvt.c Normal file
View file

@ -0,0 +1,525 @@
#include <u.h>
#include <libc.h>
#include <mp.h>
#include <sat.h>
#include "dat.h"
#include "fns.h"
SATSolve *sat;
int satvar = 3; /* 1 = false, 2 = true */
#define SVAR(n, i) ((n)->vars[(i) < (n)->size ? (i) : (n)->size - 1])
int nassertvar;
int *assertvar;
static int
max(int a, int b)
{
return a < b ? b : a;
}
static int
min(int a, int b)
{
return a > b ? b : a;
}
static void
symsat(Node *n)
{
Symbol *s;
int i;
s = n->sym;
assert(s->type == SYMBITS);
n->size = s->size + ((s->flags & SYMFSIGNED) == 0);
n->vars = emalloc(sizeof(int) * n->size);
for(i = 0; i < s->size; i++){
if(s->vars[i] == 0)
s->vars[i] = satvar++;
n->vars[i] = s->vars[i];
}
if((s->flags & SYMFSIGNED) == 0)
n->vars[i] = 1;
}
static void
numsat(Node *n)
{
mpint *m;
int i, sz, j;
m = n->num;
assert(m != nil);
assert(m->sign > 0);
sz = mpsignif(m) + 1;
n->size = sz;
n->vars = emalloc(sizeof(int) * sz);
for(i = 0; i < m->top; i++){
for(j = 0; j < Dbits; j++)
if(i * Dbits + j < sz-1)
n->vars[i * Dbits + j] = 1 + ((m->p[i] >> j & 1) != 0);
}
n->vars[sz - 1] = 1;
}
static void
nodevars(Node *n, int nv)
{
int i;
n->size = nv;
n->vars = emalloc(sizeof(int) * nv);
for(i = 0; i < nv; i++)
n->vars[i] = 1;
}
static void
assign(Node *t, Node *n)
{
Symbol *s;
int i;
s = t->sym;
for(i = 0; i < s->size; i++){
if(i < n->size)
s->vars[i] = n->vars[i];
else
s->vars[i] = n->vars[n->size - 1];
}
}
static void
opeq(Node *r, Node *n1, Node *n2, int neq)
{
int i, m, a, b, *t;
nodevars(r, 2);
m = max(n1->size, n2->size);
t = malloc(m * sizeof(int));
for(i = 0; i < m; i++){
a = SVAR(n1, i);
b = SVAR(n2, i);
t[i] = satlogicv(sat, neq ? 6 : 9, a, b, 0);
}
if(neq)
r->vars[0] = sator1(sat, t, m);
else
r->vars[0] = satand1(sat, t, m);
free(t);
}
static void
oplogic(Node *r, Node *n1, Node *n2, int op)
{
int m, i, a, b, *t;
m = max(n1->size, n2->size);
nodevars(r, m);
t = r->vars;
for(i = 0; i < m; i++){
a = SVAR(n1, i);
b = SVAR(n2, i);
switch(op){
case OPOR:
t[i] = satorv(sat, a, b, 0);
break;
case OPAND:
t[i] = satandv(sat, a, b, 0);
break;
case OPXOR:
t[i] = satlogicv(sat, 6, a, b, 0);
break;
default: abort();
}
}
}
static int
tologic(Node *n)
{
int i;
for(i = 1; i < n->size; i++)
if(n->vars[i] != 1)
break;
if(i == n->size)
return n->vars[0];
return sator1(sat, n->vars, n->size);
}
static void
opllogic(Node *rn, Node *n1, Node *n2, int op)
{
int a, b;
a = tologic(n1);
b = tologic(n2);
nodevars(rn, 2);
switch(op){
case OPLAND:
rn->vars[0] = satandv(sat, a, b, 0);
break;
case OPLOR:
rn->vars[0] = satorv(sat, a, b, 0);
break;
case OPIMP:
rn->vars[0] = satorv(sat, -a, b, 0);
break;
case OPEQV:
rn->vars[0] = satlogicv(sat, 9, a, b, 0);
break;
default:
abort();
}
}
static void
opcom(Node *r, Node *n1)
{
int i;
nodevars(r, n1->size);
for(i = 0; i < n1->size; i++)
r->vars[i] = -n1->vars[i];
}
static void
opneg(Node *r, Node *n1)
{
int i, c;
nodevars(r, n1->size);
c = 2;
for(i = 0; i < n1->size; i++){
r->vars[i] = satlogicv(sat, 9, n1->vars[i], c, 0);
if(i < n1->size - 1)
c = satandv(sat, -n1->vars[i], c, 0);
}
}
static void
opnot(Node *r, Node *n1)
{
nodevars(r, 2);
r->vars[0] = -tologic(n1);
}
static void
opadd(Node *rn, Node *n1, Node *n2, int sub)
{
int i, m, c, a, b;
m = max(n1->size, n2->size) + 1;
nodevars(rn, m);
c = 1 + sub;
sub = 1 - 2 * sub;
for(i = 0; i < m; i++){
a = SVAR(n1, i);
b = SVAR(n2, i) * sub;
rn->vars[i] = satlogicv(sat, 0x96, c, a, b, 0);
c = satlogicv(sat, 0xe8, c, a, b, 0);
}
}
static void
oplt(Node *rn, Node *n1, Node *n2, int le)
{
int i, m, a, b, t, *r;
nodevars(rn, 2);
m = max(n1->size, n2->size);
r = emalloc(sizeof(int) * (m + le));
t = 2;
for(i = m; --i >= 0; ){
if(i == m - 1){
a = SVAR(n2, i);
b = SVAR(n1, i);
}else{
a = SVAR(n1, i);
b = SVAR(n2, i);
}
r[i] = satandv(sat, -a, b, t, 0);
t = satlogicv(sat, 0x90, a, b, t, 0);
}
if(le)
r[m] = t;
rn->vars[0] = sator1(sat, r, m + le);
}
static void
opidx(Node *rn, Node *n1, Node *n2, Node *n3)
{
int i, j, k, s;
j = mptoi(n2->num);
if(n3 == nil) k = j;
else k = mptoi(n3->num);
if(j > k){
nodevars(rn, 1);
return;
}
s = k - j + 1;
nodevars(rn, s + 1);
for(i = 0; i < s; i++)
rn->vars[i] = SVAR(n1, j + i);
}
static void
oprsh(Node *rn, Node *n1, Node *n2)
{
int i, j, a, b, q;
nodevars(rn, n1->size);
memcpy(rn->vars, n1->vars, sizeof(int) * n1->size);
for(i = 0; i < n2->size; i++){
if(n2->vars[i] == 1) continue;
if(n2->vars[i] == 2){
for(j = 0; j < n1->size; j++)
rn->vars[j] = SVAR(rn, j + (1<<i));
continue;
}
for(j = 0; j < n1->size; j++){
a = rn->vars[j];
b = SVAR(rn, j + (1<<i));
q = n2->vars[i];
rn->vars[j] = satlogicv(sat, 0xca, a, b, q, 0);
}
}
}
static void
oplsh(Node *rn, Node *n1, Node *n2, uint sz)
{
int i, j, a, b, q;
u32int m;
m = 0;
for(i = n2->size; --i >= 0; )
m = m << 1 | n2->vars[i] != m;
m += n1->size;
if(m > sz) m = sz;
nodevars(rn, m);
for(i = 0; i < m; i++)
rn->vars[i] = SVAR(n1, i);
for(i = 0; i < n2->size; i++){
if(n2->vars[i] == 1) continue;
if(n2->vars[i] == 2){
for(j = m; --j >= 0; )
rn->vars[j] = j >= 1<<i ? rn->vars[j - (1<<i)] : 1;
continue;
}
for(j = m; --j >= 0; ){
a = rn->vars[j];
b = j >= 1<<i ? rn->vars[j - (1<<i)] : 1;
q = n2->vars[i];
rn->vars[j] = satlogicv(sat, 0xca, a, b, q, 0);
}
}
}
static void
optern(Node *rn, Node *n1, Node *n2, Node *n3, uint sz)
{
uint m;
int i, a, b, q;
m = n1->size;
if(n2->size > m) m = n2->size;
if(m > sz) m = sz;
nodevars(rn, m);
q = tologic(n1);
for(i = 0; i < m; i++){
a = SVAR(n3, i);
b = SVAR(n2, i);
rn->vars[i] = satlogicv(sat, 0xca, a, b, q, 0);
}
}
static int *
opmul(int *n1v, int s1, int *n2v, int s2)
{
int i, k, t, s;
int *r, *q0, *q1, *z, nq0, nq1, nq;
s1--;
s2--;
r = emalloc(sizeof(int) * (s1 + s2 + 2));
nq = 2 * (min(s1, s2) + 1);
q0 = emalloc(nq * sizeof(int));
q1 = emalloc(nq * sizeof(int));
nq0 = nq1 = 0;
for(k = 0; k <= s1 + s2 + 1; k++){
if(k == s1 || k == s1 + s2 + 1){ assert(nq0 < nq); q0[nq0++] = 2; }
if(k == s2){ assert(nq0 < nq); q0[nq0++] = 2; }
for(i = max(0, k - s2); i <= k && i <= s1; i++){
assert(nq0 < nq);
t = satandv(sat, n1v[i], n2v[k - i], 0);
q0[nq0++] = i == s1 ^ k-i == s2 ? -t : t;
}
assert(nq0 > 0);
while(nq0 > 1){
if(nq0 == 2){
t = satlogicv(sat, 0x6, q0[0], q0[1], 0);
s = satandv(sat, q0[0], q0[1], 0);
q0[0] = t;
assert(nq1 < nq);
q1[nq1++] = s;
break;
}
t = satlogicv(sat, 0x96, q0[nq0-3], q0[nq0-2], q0[nq0-1], 0);
s = satlogicv(sat, 0xe8, q0[nq0-3], q0[nq0-2], q0[nq0-1], 0);
q0[nq0-3] = t;
nq0 -= 2;
assert(nq1 < nq);
q1[nq1++] = s;
}
r[k] = q0[0];
z=q0, q0=q1, q1=z;
nq0 = nq1;
nq1 = 0;
}
free(q0);
free(q1);
return r;
}
static void
opabs(Node *q, Node *n)
{
int i;
int s, c;
nodevars(q, n->size + 1);
s = n->vars[n->size - 1];
c = s;
for(i = 0; i < n->size; i++){
q->vars[i] = satlogicv(sat, 0x96, n->vars[i], s, c, 0);
c = satandv(sat, -n->vars[i], c, 0);
}
}
static void
opdiv(Node *q, Node *r, Node *n1, Node *n2)
{
Node *s;
int i;
if(q == nil) q = node(ASTTEMP);
if(r == nil) r = node(ASTTEMP);
nodevars(q, n1->size);
nodevars(r, n2->size);
for(i = 0; i < n1->size; i++)
q->vars[i] = satvar++;
for(i = 0; i < n2->size; i++)
r->vars[i] = satvar++;
s = node(ASTBIN, OPEQ, node(ASTBIN, OPADD, node(ASTBIN, OPMUL, q, n2), r), n1); convert(s, -1); assume(s);
s = node(ASTBIN, OPGE, r, node(ASTNUM, mpnew(0))); convert(s, -1); assume(s);
s = node(ASTBIN, OPLT, r, node(ASTUN, OPABS, n2)); convert(s, -1); assume(s);
}
void
convert(Node *n, uint sz)
{
if(n->size > 0) return;
switch(n->type){
case ASTTEMP:
assert(n->size > 0);
break;
case ASTSYM:
symsat(n);
break;
case ASTNUM:
numsat(n);
break;
case ASTBIN:
if(n->op == OPASS){
if(n->n1 == nil || n->n1->type != ASTSYM)
error(n, "convert: '%ε' invalid lval", n->n1);
convert(n->n2, n->n1->sym->size);
assert(n->n2->size > 0);
assign(n->n1, n->n2);
break;
}
switch(n->op){
case OPAND: case OPOR: case OPXOR:
case OPADD: case OPSUB: case OPLSH:
case OPCOMMA:
convert(n->n1, sz);
convert(n->n2, sz);
break;
default:
convert(n->n1, -1);
convert(n->n2, -1);
}
assert(n->n1->size > 0);
assert(n->n2->size > 0);
switch(n->op){
case OPCOMMA: n->size = n->n2->size; n->vars = n->n2->vars; break;
case OPEQ: opeq(n, n->n1, n->n2, 0); break;
case OPNEQ: opeq(n, n->n1, n->n2, 1); break;
case OPLT: oplt(n, n->n1, n->n2, 0); break;
case OPLE: oplt(n, n->n1, n->n2, 1); break;
case OPGT: oplt(n, n->n2, n->n1, 0); break;
case OPGE: oplt(n, n->n2, n->n1, 1); break;
case OPXOR: case OPAND: case OPOR: oplogic(n, n->n1, n->n2, n->op); break;
case OPLAND: case OPLOR: case OPIMP: case OPEQV: opllogic(n, n->n1, n->n2, n->op); break;
case OPADD: opadd(n, n->n1, n->n2, 0); break;
case OPSUB: opadd(n, n->n1, n->n2, 1); break;
case OPLSH: oplsh(n, n->n1, n->n2, sz); break;
case OPRSH: oprsh(n, n->n1, n->n2); break;
case OPMUL: n->vars = opmul(n->n1->vars, n->n1->size, n->n2->vars, n->n2->size); n->size = n->n1->size + n->n2->size; break;
case OPDIV: opdiv(n, nil, n->n1, n->n2); break;
case OPMOD: opdiv(nil, n, n->n1, n->n2); break;
default:
error(n, "convert: unimplemented op %O", n->op);
}
break;
case ASTUN:
convert(n->n1, sz);
switch(n->op){
case OPCOM: opcom(n, n->n1); break;
case OPNEG: opneg(n, n->n1); break;
case OPNOT: opnot(n, n->n1); break;
case OPABS: opabs(n, n->n1); break;
default:
error(n, "convert: unimplemented op %O", n->op);
}
break;
case ASTIDX:
if(n->n2->type != ASTNUM || n->n3 != nil && n->n3->type != ASTNUM)
error(n, "non-constant in indexing expression");
convert(n->n1, (n->n3 != nil ? mptoi(n->n3->num) : mptoi(n->n2->num)) + 1);
opidx(n, n->n1, n->n2, n->n3);
break;
case ASTTERN:
convert(n->n1, -1);
convert(n->n2, sz);
convert(n->n3, sz);
optern(n, n->n1, n->n2, n->n3, sz);
break;
default:
error(n, "convert: unimplemented %α", n->type);
}
}
void
assume(Node *n)
{
assert(n->size > 0);
satadd1(sat, n->vars, n->size);
}
void
obviously(Node *n)
{
assertvar = realloc(assertvar, sizeof(int) * (nassertvar + 1));
assert(assertvar != nil);
assertvar[nassertvar++] = -tologic(n);
}
void
cvtinit(void)
{
sat = sataddv(nil, -1, 0);
sataddv(sat, 2, 0);
}

94
sys/src/cmd/forp/dat.h Normal file
View file

@ -0,0 +1,94 @@
typedef struct Line Line;
typedef struct Node Node;
typedef struct Symbol Symbol;
typedef struct Trie Trie;
typedef struct TrieHead TrieHead;
struct Line {
char *filen;
int lineno;
};
struct TrieHead {
uvlong hash;
int l;
};
enum { TRIEB = 4 };
struct Trie {
TrieHead;
Trie *n[1<<TRIEB];
};
struct Symbol {
TrieHead;
char *name;
int type;
int size;
int flags;
int *vars;
Symbol *next;
};
enum {
SYMNONE,
SYMBITS,
};
enum {
SYMFSIGNED = 1,
};
struct Node {
int type;
Line;
int op;
mpint *num;
Symbol *sym;
Node *n1, *n2, *n3;
int size;
int *vars;
};
enum {
ASTINVAL,
ASTSYM,
ASTNUM,
ASTBIN,
ASTUN,
ASTIDX,
ASTTERN,
ASTTEMP,
};
enum {
OPINVAL,
OPABS,
OPADD,
OPAND,
OPASS,
OPCOM,
OPCOMMA,
OPDIV,
OPEQ,
OPEQV,
OPGE,
OPGT,
OPIMP,
OPLAND,
OPLE,
OPLOR,
OPLSH,
OPLT,
OPMOD,
OPMUL,
OPNEG,
OPNEQ,
OPNOT,
OPOR,
OPRSH,
OPSUB,
OPXOR,
};
extern Symbol *syms;
#pragma varargck type "ε" Node*
#pragma varargck type "α" int
#pragma varargck type "O" int

18
sys/src/cmd/forp/fns.h Normal file
View file

@ -0,0 +1,18 @@
typedef struct SATSolve SATSolve;
void *emalloc(ulong);
void *erealloc(void *, ulong);
void parse(char *);
void error(Line *, char *, ...);
Node *node(int t, ...);
Symbol *symget(char *);
void convert(Node *, uint);
void obviously(Node *);
void go(int);
void assume(Node *);
int satand1(SATSolve *, int *, int);
int satandv(SATSolve *, ...);
int sator1(SATSolve *, int *, int);
int satorv(SATSolve *, ...);
int satlogic1(SATSolve *, u64int, int *, int);
int satlogicv(SATSolve *, u64int, ...);

159
sys/src/cmd/forp/forp.c Normal file
View file

@ -0,0 +1,159 @@
#include <u.h>
#include <libc.h>
#include <mp.h>
#include <sat.h>
#include "dat.h"
#include "fns.h"
extern SATSolve *sat;
extern int *assertvar, nassertvar;
int
printval(Symbol *s, Fmt *f)
{
int i;
if(s->type != SYMBITS) return 0;
fmtprint(f, "%s = ", s->name);
for(i = s->size - 1; i >= 0; i--)
switch(satval(sat, s->vars[i])){
case 1: fmtrune(f, '1'); break;
case 0: fmtrune(f, '0'); break;
case -1: fmtrune(f, '?'); break;
default: abort();
}
fmtprint(f, "\n");
return 0;
}
void
debugsat(void)
{
int i, j, rc;
int *t;
int ta;
Fmt f;
char buf[256];
ta = 0;
t = nil;
fmtfdinit(&f, 1, buf, 256);
for(i = 0;;){
rc = satget(sat, i, t, ta);
if(rc < 0) break;
if(rc > ta){
ta = rc;
t = realloc(t, ta * sizeof(int));
continue;
}
i++;
fmtprint(&f, "%d: ", i);
for(j = 0; j < rc; j++)
fmtprint(&f, "%s%d", j==0?"":" ", t[j]);
fmtprint(&f, "\n");
}
free(t);
fmtfdflush(&f);
}
void
tabheader(Fmt *f)
{
Symbol *s;
int l, first;
first = 0;
for(s = syms; s != nil; s = s->next){
if(s->type != SYMBITS) continue;
l = strlen(s->name);
if(s->size > l) l = s->size;
fmtprint(f, "%s%*s", first++ != 0 ? " " : "", l, s->name);
}
fmtrune(f, '\n');
}
void
tabrow(Fmt *f)
{
Symbol *s;
int i, l, first;
first = 0;
for(s = syms; s != nil; s = s->next){
if(s->type != SYMBITS) continue;
if(first++ != 0) fmtrune(f, ' ');
l = strlen(s->name);
if(s->size > l) l = s->size;
for(i = l - 1; i > s->size - 1; i--)
fmtrune(f, ' ');
for(; i >= 0; i--)
switch(satval(sat, s->vars[i])){
case 1: fmtrune(f, '1'); break;
case 0: fmtrune(f, '0'); break;
case -1: fmtrune(f, '?'); break;
default: abort();
}
}
fmtrune(f, '\n');
}
void
go(int mflag)
{
Fmt f;
char buf[256];
Symbol *s;
if(nassertvar == 0)
sysfatal("left as an exercise to the reader");
satadd1(sat, assertvar, nassertvar);
// debugsat();
if(mflag){
fmtfdinit(&f, 1, buf, sizeof(buf));
tabheader(&f);
fmtfdflush(&f);
while(satmore(sat) > 0){
tabrow(&f);
fmtfdflush(&f);
}
}else{
if(satsolve(sat) == 0)
print("Proved.\n");
else{
fmtfdinit(&f, 1, buf, sizeof(buf));
for(s = syms; s != nil; s = s->next)
printval(s, &f);
fmtfdflush(&f);
}
}
}
void
usage(void)
{
fprint(2, "usage: %s [ -m ] [ file ]\n", argv0);
exits("usage");
}
void
main(int argc, char **argv)
{
typedef void init(void);
init miscinit, cvtinit, parsinit;
static int mflag;
ARGBEGIN{
case 'm': mflag++; break;
default: usage();
}ARGEND;
if(argc > 1) usage();
quotefmtinstall();
fmtinstall('B', mpfmt);
miscinit();
cvtinit();
parsinit();
parse(argc > 0 ? argv[0] : nil);
go(mflag);
}

273
sys/src/cmd/forp/logic.c Normal file
View file

@ -0,0 +1,273 @@
#include <u.h>
#include <libc.h>
#include <mp.h>
#include <sat.h>
#include "dat.h"
#include "fns.h"
extern int satvar;
int
satand1(SATSolve *sat, int *a, int n)
{
int i, j, r;
int *b;
if(n < 0)
for(n = 0; a[n] != 0; n++)
;
r = 2;
for(i = j = 0; i < n; i++){
if(a[i] == 1 || a[i] == -2)
return 1;
if(a[i] == 2 || a[i] == -1)
j++;
else
r = a[i];
}
if(j >= n - 1) return r;
r = satvar++;
b = malloc(sizeof(int) * (n+1));
for(i = j = 0; i < n; i++){
if(a[i] == 2 || a[i] == -1)
continue;
b[j++] = -a[i];
sataddv(sat, -r, a[i], 0);
}
b[j++] = r;
satadd1(sat, b, j);
return r;
}
int
satandv(SATSolve *sat, ...)
{
int r;
va_list va;
va_start(va, sat);
r = satand1(sat, (int*)va, -1);
va_end(va);
return r;
}
int
sator1(SATSolve *sat, int *a, int n)
{
int i, j, r;
int *b;
if(n < 0)
for(n = 0; a[n] != 0; n++)
;
r = 1;
for(i = j = 0; i < n; i++){
if(a[i] == 2 || a[i] == -1)
return 2;
if(a[i] == 1 || a[i] == -2)
j++;
else
r = a[i];
}
if(j >= n-1) return r;
r = satvar++;
b = malloc(sizeof(int) * (n+1));
for(i = j = 0; i < n; i++){
if(a[i] == 1 || a[i] == -2)
continue;
b[j++] = a[i];
sataddv(sat, r, -a[i], 0);
}
b[j++] = -r;
satadd1(sat, b, j);
return r;
}
int
satorv(SATSolve *sat, ...)
{
va_list va;
int r;
va_start(va, sat);
r = sator1(sat, (int*)va, -1);
va_end(va);
return r;
}
typedef struct { u8int x, m; } Pi;
static Pi *π;
static int ;
static u64int *πm;
static void
pimp(u64int op, int n)
{
int i, j, k;
u8int δ;
= 0;
for(i = 0; i < 1<<n; i++)
if((op >> i & 1) != 0){
π = realloc(π, sizeof(Pi) * ( + 1));
π[++] = (Pi){i, 0};
}
for(i = 0; i < ; i++){
for(j = 0; j < i; j++){
δ = π[i].x ^ π[j].x;
if(δ == 0 || (δ & δ - 1) != 0 || π[i].m != π[j].m) continue;
if(((π[i].m | π[j].m) & δ) != 0) continue;
if(π[-1].x == (π[i].x & π[j].x) && π[-1].m == (π[i].m | δ)) continue;
π = realloc(π, sizeof(Pi) * ( + 1));
π[++] = (Pi){π[i].x & π[j].x, π[i].m | δ};
}
}
for(i = k = 0; i < ; i++){
for(j = i+1; j < ; j++)
if((π[i].m & ~π[j].m) == 0 && (π[i].x & ~π[j].m) == π[j].x)
break;
if(j == )
π[k++] = π[i];
}
= k;
assert( <= 1<<n);
}
static void
pimpmask(void)
{
int i, j;
u64int m;
πm = realloc(πm, sizeof(u64int) * );
for(i = 0; i < ; i++){
m = 0;
for(j = π[i].m; ; j = j - 1 & π[i].m){
m |= 1ULL<<(π[i].x | j);
if(j == 0) break;
}
πm[i] = m;
}
}
static int
popcnt(u64int m)
{
m = (m & 0x5555555555555555ULL) + (m >> 1 & 0x5555555555555555ULL);
m = (m & 0x3333333333333333ULL) + (m >> 2 & 0x3333333333333333ULL);
m = (m & 0x0F0F0F0F0F0F0F0FULL) + (m >> 4 & 0x0F0F0F0F0F0F0F0FULL);
m = (m & 0x00FF00FF00FF00FFULL) + (m >> 8 & 0x00FF00FF00FF00FFULL);
m = (m & 0x0000FFFF0000FFFFULL) + (m >> 16 & 0x0000FFFF0000FFFFULL);
m = (u32int)m + (u32int)(m >> 32);
return m;
}
static u64int
pimpcover(u64int op, int)
{
int i, j, maxi, p, maxp;
u64int cov, yes, m;
yes = 0;
cov = op;
for(i = 0; i < ; i++){
if((yes & 1<<i) != 0) continue;
m = πm[i];
for(j = 0; j < ; j++){
if(j == i) continue;
m &= ~πm[j];
if(m == 0) break;
}
if(j == ){
yes |= 1<<i;
cov &= ~πm[i];
}
}
while(cov != 0){
j = popcnt(~cov & cov - 1);
maxi = -1;
maxp = 0;
for(i = 0; i < ; i++){
if((πm[i] & 1<<j) == 0) continue;
if((p = popcnt(πm[i] & cov)) > maxp)
maxi = i, maxp = p;
}
assert(maxi >= 0);
yes |= 1<<maxi;
cov &= ~πm[maxi];
}
return yes;
}
static void
pimpsat(SATSolve *sat, u64int yes, int *a, int n, int r)
{
int i, j, k;
int *cl;
cl = emalloc(sizeof(int) * (n + 1));
while(yes != 0){
i = popcnt(~yes & yes - 1);
yes &= yes - 1;
k = 0;
cl[k++] = r;
for(j = 0; j < n; j++)
if((π[i].m & 1<<j) == 0)
cl[k++] = (π[i].x >> j & 1) != 0 ? -a[j] : a[j];
// for(i = 0; i < k; i++) print("%d ", cl[i]); print("\n");
satadd1(sat, cl, k);
}
free(cl);
}
int
satlogic1(SATSolve *sat, u64int op, int *a, int n)
{
int i, j, o, r;
int s;
if(n < 0)
for(n = 0; a[n] != 0; n++)
;
assert(op >> (1<<n) == 0);
s = 0;
j = -1;
for(i = n; --i >= 0; ){
if((uint)(a[i] + 2) > 4){
if(j >= 0) break;
j = i;
}
s = s << 1 | a[i] == 2 | a[i] == -1;
}
if(i < 0){
if(j < 0) return 1 + (op >> s & 1);
o = op >> s & 1 | op >> s + (1<<j) - 1 & 2;
switch(o){
case 0: return 1;
case 1: return -a[j];
case 2: return a[j];
case 3: return 2;
}
}
r = satvar++;
pimp(op, n);
pimpmask();
pimpsat(sat, pimpcover(op, n), a, n, r);
op ^= (u64int)-1 >> 64-(1<<n);
pimp(op, n);
pimpmask();
pimpsat(sat, pimpcover(op, n), a, n, -r);
return r;
}
int
satlogicv(SATSolve *sat, u64int op, ...)
{
va_list va;
int r;
va_start(va, op);
r = satlogic1(sat, op, (int*)va, -1);
va_end(va);
return r;
}

246
sys/src/cmd/forp/misc.c Normal file
View file

@ -0,0 +1,246 @@
#include <u.h>
#include <libc.h>
#include <mp.h>
#include "dat.h"
#include "fns.h"
char *astnames[] = {
[ASTINVAL] "ASTINVAL",
[ASTSYM] "ASTSYM",
[ASTNUM] "ASTNUM",
[ASTBIN] "ASTBIN",
[ASTUN] "ASTUN",
[ASTIDX] "ASTIDX",
[ASTTERN] "ASTTERN",
[ASTTEMP] "ASTTEMP",
};
char *opnames[] = {
[OPABS] "OPABS",
[OPADD] "OPADD",
[OPAND] "OPAND",
[OPASS] "OPASS",
[OPCOM] "OPCOM",
[OPCOMMA] "OPCOMMA",
[OPDIV] "OPDIV",
[OPEQ] "OPEQ",
[OPEQV] "OPEQV",
[OPGE] "OPGE",
[OPGT] "OPGT",
[OPIMP] "OPIMP",
[OPINVAL] "OPINVAL",
[OPLAND] "OPLAND",
[OPLE] "OPLE",
[OPLOR] "OPLOR",
[OPLSH] "OPLSH",
[OPLT] "OPLT",
[OPMOD] "OPMOD",
[OPMUL] "OPMUL",
[OPNEG] "OPNEG",
[OPNEQ] "OPNEQ",
[OPNOT] "OPNOT",
[OPOR] "OPOR",
[OPRSH] "OPRSH",
[OPSUB] "OPSUB",
[OPXOR] "OPXOR",
};
Trie *root;
Symbol *syms, **lastsymp = &syms;
void *
emalloc(ulong sz)
{
void *v;
v = malloc(sz);
if(v == nil) sysfatal("malloc: %r");
setmalloctag(v, getmalloctag(&sz));
memset(v, 0, sz);
return v;
}
void *
erealloc(void *v, ulong sz)
{
v = realloc(v, sz);
if(v == nil) sysfatal("realloc: %r");
setrealloctag(v, getmalloctag(&v));
return v;
}
static int
astfmt(Fmt *f)
{
int t;
t = va_arg(f->args, int);
if(t >= nelem(astnames) || astnames[t] == nil)
return fmtprint(f, "%d", t);
return fmtprint(f, "%s", astnames[t]);
}
static int
opfmt(Fmt *f)
{
int t;
t = va_arg(f->args, int);
if(t >= nelem(opnames) || opnames[t] == nil)
return fmtprint(f, "%d", t);
return fmtprint(f, "%s", opnames[t]);
}
static int
clz(uvlong v)
{
int n;
n = 0;
if(v >> 32 == 0) {n += 32; v <<= 32;}
if(v >> 48 == 0) {n += 16; v <<= 16;}
if(v >> 56 == 0) {n += 8; v <<= 8;}
if(v >> 60 == 0) {n += 4; v <<= 4;}
if(v >> 62 == 0) {n += 2; v <<= 2;}
if(v >> 63 == 0) {n += 1; v <<= 1;}
return n;
}
static u64int
hash(char *s)
{
u64int h;
h = 0xcbf29ce484222325ULL;
for(; *s != 0; s++){
h ^= *s;
h *= 0x100000001b3ULL;
}
return h;
}
static Symbol *
trieget(uvlong hash)
{
Trie **tp, *t, *s;
uvlong d;
tp = &root;
for(;;){
t = *tp;
if(t == nil){
t = emalloc(sizeof(Symbol));
t->hash = hash;
t->l = 64;
*tp = t;
return (Symbol *) t;
}
d = (hash ^ t->hash) & -(1ULL<<64 - t->l);
if(d == 0 || t->l == 0){
if(t->l == 64)
return (Symbol *) t;
tp = &t->n[hash << t->l >> 64 - TRIEB];
}else{
s = emalloc(sizeof(Trie));
s->hash = hash;
s->l = clz(d) & -TRIEB;
s->n[t->hash << s->l >> 64 - TRIEB] = t;
*tp = s;
tp = &s->n[hash << s->l >> 64 - TRIEB];
}
}
}
Symbol *
symget(char *name)
{
uvlong h;
Symbol *s;
h = hash(name);
while(s = trieget(h), s->name != nil && strcmp(s->name, name) != 0)
h++;
if(s->name == nil){
s->name = strdup(name);
*lastsymp = s;
lastsymp = &s->next;
}
return s;
}
void
trieprint(Trie *t, char *pref, int bits)
{
int i;
if(t == nil) {print("%snil\n", pref); return;}
if(t->l == 64) {print("%s%#.8p %.*llux '%s'\n", pref, t, (t->l - bits + 3) / 4, t->hash << bits >> bits >> 64 - t->l, ((Symbol*)t)->name); return;}
print("%s%#.8p %.*llux %d\n", pref, t, (t->l - bits + 3) / 4, t->hash << bits >> bits >> 64 - t->l, t->l);
for(i = 0; i < (1<<TRIEB); i++){
if(t->n[i] == nil) continue;
print("%s%x:\n", pref, i);
trieprint(t->n[i], smprint("\t%s", pref), t->l);
}
}
Node *
node(int t, ...)
{
Node *n;
va_list va;
extern Line line;
n = emalloc(sizeof(Node));
n->type = t;
n->Line = line;
va_start(va, t);
switch(t){
case ASTSYM:
n->sym = va_arg(va, Symbol *);
break;
case ASTNUM:
n->num = va_arg(va, mpint *);
break;
case ASTBIN:
n->op = va_arg(va, int);
n->n1 = va_arg(va, Node *);
n->n2 = va_arg(va, Node *);
break;
case ASTUN:
n->op = va_arg(va, int);
n->n1 = va_arg(va, Node *);
break;
case ASTIDX:
case ASTTERN:
n->n1 = va_arg(va, Node *);
n->n2 = va_arg(va, Node *);
n->n3 = va_arg(va, Node *);
break;
case ASTTEMP:
break;
default:
sysfatal("node: unknown type %α", t);
}
va_end(va);
return n;
}
static int
triedesc(Trie *t, int(*f)(Symbol *, va_list), va_list va)
{
int i, rc;
if(t == nil) return 0;
if(t->l == 64) return f((Symbol *) t, va);
rc = 0;
for(i = 0; i < 1<<TRIEB; i++)
rc += triedesc(t->n[i], f, va);
return rc;
}
void
miscinit(void)
{
fmtinstall(L'α', astfmt);
fmtinstall(L'O', opfmt);
}

14
sys/src/cmd/forp/mkfile Normal file
View file

@ -0,0 +1,14 @@
</$objtype/mkfile
BIN=/$objtype/bin
TARG=forp
OFILES=\
forp.$O\
parse.$O\
misc.$O\
cvt.$O\
logic.$O\
HFILES=dat.h fns.h
</sys/src/cmd/mkone

454
sys/src/cmd/forp/parse.c Normal file
View file

@ -0,0 +1,454 @@
#include <u.h>
#include <libc.h>
#include <bio.h>
#include <ctype.h>
#include <mp.h>
#include "dat.h"
#include "fns.h"
Biobuf *bin;
Line line;
char lexbuf[512];
int peektok;
enum {
TEOF = -1,
TSYM = -2,
TNUM = -3,
TBIT = -4,
TOBVIOUSLY = -5,
TEQ = -6,
TNEQ = -7,
TLSH = -8,
TRSH = -9,
TLE = -10,
TGE = -11,
TLAND = -12,
TLOR = -13,
TASSUME = -14,
TIMP = -15,
TEQV = -16,
TSIGNED = -17,
};
typedef struct Keyword Keyword;
typedef struct Oper Oper;
struct Keyword {
char *name;
int tok;
};
/* both tables must be sorted */
static Keyword kwtab[] = {
"assume", TASSUME,
"bit", TBIT,
"obviously", TOBVIOUSLY,
"signed", TSIGNED,
};
/* <=> is implemented through a hack below */
static Keyword koptab[] = {
"!=", TNEQ,
"&&", TLAND,
"<<", TLSH,
"<=", TLE,
"==", TEQ,
"=>", TIMP,
">=", TGE,
">>", TRSH,
"||", TLOR,
};
static Keyword *kwjmp[128];
static Keyword *kopjmp[128];
struct Oper {
int tok;
int type;
int pred;
char *str;
};
#define MAXPREC 15
static Oper optab[] = {
'*', OPMUL, 14, "*",
'/', OPDIV, 14, "/",
'%', OPMOD, 14, "%",
'+', OPADD, 13, "+",
'-', OPSUB, 13, "-",
TLSH, OPLSH, 12, "<<",
TRSH, OPRSH, 12, ">>",
'<', OPLT, 11, "<",
TLE, OPLE, 11, "<=",
'>', OPGT, 11, ">",
TGE, OPGE, 11, ">=",
TEQ, OPEQ, 10, "==",
TNEQ, OPNEQ, 10, "!=",
'&', OPAND, 9, "&",
'^', OPXOR, 8, "^",
'|', OPOR, 7, "|",
TLAND, OPLAND, 6, "&&",
TLOR, OPLOR, 5, "||",
TEQV, OPEQV, 4, "<=>",
TIMP, OPIMP, 4, "=>",
/* ?: */
'=', OPASS, 2, "=",
',', OPCOMMA, 1, ",",
-1, OPNOT, MAXPREC, "!",
-1, OPCOM, MAXPREC, "~",
-1, OPNEG, MAXPREC, "-",
};
void
error(Line *l, char *msg, ...)
{
char buf[256];
Fmt f;
va_list va;
if(l == nil) l = &line;
fmtfdinit(&f, 2, buf, sizeof(buf));
fmtprint(&f, "%s:%d: ", l->filen, l->lineno);
va_start(va, msg);
fmtvprint(&f, msg, va);
va_end(va);
fmtrune(&f, '\n');
fmtfdflush(&f);
exits("error");
}
static int
tokfmt(Fmt *f)
{
int t;
Keyword *k;
t = va_arg(f->args, int);
if(t >= ' ' && t < 0x7f) return fmtprint(f, "%c", t);
for(k = kwtab; k < kwtab + nelem(kwtab); k++)
if(k->tok == t)
return fmtprint(f, "%s", k->name);
for(k = koptab; k < koptab + nelem(koptab); k++)
if(k->tok == t)
return fmtprint(f, "%s", k->name);
switch(t){
case TSYM: return fmtprint(f, "TSYM"); break;
case TNUM: return fmtprint(f, "TNUM"); break;
case TEOF: return fmtprint(f, "eof"); break;
default: return fmtprint(f, "%d", t); break;
}
}
static int
exprfmt(Fmt *f)
{
Node *n;
Oper *o;
int w;
n = va_arg(f->args, Node *);
if(n == nil) return fmtprint(f, "nil");
switch(n->type){
case ASTSYM: return fmtprint(f, "%s", n->sym->name);
case ASTBIN:
for(o = optab; o < optab + nelem(optab); o++)
if(o->type == n->op)
break;
if(o == optab + nelem(optab)) return fmtprint(f, "[unknown operation %O]", n->op);
w = f->width;
if(w > o->pred) fmtrune(f, '(');
fmtprint(f, "%*ε %s %*ε", o->pred, n->n1, o->str, o->pred + 1, n->n2);
if(w > o->pred) fmtrune(f, ')');
return 0;
case ASTNUM: return fmtprint(f, "0x%B", n->num);
default: return fmtprint(f, "???(%α)", n->type);
}
}
static int
issymchar(int c)
{
return c >= 0 && (isalnum(c) || c == '_' || c >= 0x80);
}
static int
lex(void)
{
int c, d;
char *p;
Keyword *kw;
if(peektok != 0){
c = peektok;
peektok = 0;
return c;
}
loop:
do{
c = Bgetc(bin);
if(c == '\n') line.lineno++;
}while(c >= 0 && isspace(c));
if(c < 0) return TEOF;
if(c == '/'){
c = Bgetc(bin);
if(c == '/'){
do
c = Bgetc(bin);
while(c >= 0 && c != '\n');
if(c < 0) return TEOF;
line.lineno++;
goto loop;
}else if(c == '*'){
s0:
c = Bgetc(bin);
if(c != '*') goto s0;
s1:
c = Bgetc(bin);
if(c == '*') goto s1;
if(c != '/') goto s0;
goto loop;
}else{
Bungetc(bin);
return '/';
}
}
if(isdigit(c)){
p = lexbuf;
*p++ = c;
while(c = Bgetc(bin), issymchar(c))
if(p < lexbuf + sizeof(lexbuf) - 1)
*p++ = c;
Bungetc(bin);
*p = 0;
strtol(lexbuf, &p, 0);
if(p == lexbuf || *p != 0)
error(nil, "invalid number %q", lexbuf);
return TNUM;
}
if(issymchar(c)){
p = lexbuf;
*p++ = c;
while(c = Bgetc(bin), issymchar(c))
if(p < lexbuf + sizeof(lexbuf) - 1)
*p++ = c;
Bungetc(bin);
*p = 0;
c = lexbuf[0];
if((signed char)c>= 0 && (kw = kwjmp[c], kw != nil))
for(; kw < kwtab + nelem(kwtab) && kw->name[0] == c; kw++)
if(strcmp(lexbuf, kw->name) == 0)
return kw->tok;
return TSYM;
}
if(kw = kopjmp[c], kw != nil){
d = Bgetc(bin);
for(; kw < koptab + nelem(koptab) && kw->name[0] == c; kw++)
if(kw->name[1] == d){
if(kw->tok == TLE){
c = Bgetc(bin);
if(c == '>')
return TEQV;
Bungetc(bin);
}
return kw->tok;
}
Bungetc(bin);
}
return c;
}
static void
superman(int t)
{
assert(peektok == 0);
peektok = t;
}
static int
peek(void)
{
if(peektok != 0) return peektok;
return peektok = lex();
}
static void
expect(int t)
{
int s;
s = lex();
if(t != s)
error(nil, "expected %t, got %t", t, s);
}
static int
got(int t)
{
return peek() == t && (lex(), 1);
}
static Node *
expr(int level)
{
Node *a, *b, *c;
Oper *op;
Symbol *s;
mpint *num;
int t;
if(level == MAXPREC+1){
switch(t = lex()){
case '~': return node(ASTUN, OPCOM, expr(level));
case '!': return node(ASTUN, OPNOT, expr(level));
case '+': return expr(level);
case '-': return node(ASTUN, OPNEG, expr(level));
case '(':
a = expr(0);
expect(')');
return a;
case TSYM:
s = symget(lexbuf);
switch(s->type){
case SYMNONE:
error(nil, "%#q undefined", s->name);
default:
error(nil, "%#q symbol type error", s->name);
case SYMBITS:
break;
}
return node(ASTSYM, s);
case TNUM:
num = strtomp(lexbuf, nil, 0, nil);
return node(ASTNUM, num);
default:
error(nil, "unexpected %t", t);
}
}else if(level == MAXPREC){
a = expr(level + 1);
if(got('[')){
b = expr(0);
if(got(':'))
c = expr(0);
else
c = nil;
expect(']');
a = node(ASTIDX, a, b, c);
}
return a;
}else if(level == 3){
a = expr(level + 1);
if(got('?')){
b = expr(level);
expect(':');
c = expr(level);
a = node(ASTTERN, a, b, c);
}
return a;
}
a = expr(level+1);
for(;;){
t = peek();
for(op = optab; op < optab + nelem(optab); op++)
if(op->tok == t && op->pred >= level)
break;
if(op == optab+nelem(optab)) return a;
lex();
a = node(ASTBIN, op->type, a, expr(level+1));
}
}
static void
vardecl(void)
{
Symbol *s;
int l, flags;
flags = 0;
for(;;)
switch(l = lex()){
case TBIT: if((flags & 1) != 0) goto err; flags |= 1; break;
case TSIGNED: if((flags & 2) != 0) goto err; flags |= 2; break;
default: superman(l); goto out;
}
out:
do{
expect(TSYM);
s = symget(lexbuf);
if(s->type != SYMNONE) error(nil, "%#q redefined", s->name);
s->type = SYMBITS;
if((flags & 2) != 0)
s->flags |= SYMFSIGNED;
s->size = 1;
if(got('[')){
expect(TNUM);
s->type = SYMBITS;
s->size = strtol(lexbuf, nil, 0);
expect(']');
}
s->vars = emalloc(sizeof(int) * s->size);
}while(got(','));
expect(';');
return;
err: error(nil, "syntax error");
}
static int
statement(void)
{
Node *n;
int t;
switch(t=peek()){
case TEOF:
return 0;
case TBIT:
case TSIGNED:
vardecl();
break;
case TASSUME:
case TOBVIOUSLY:
lex();
n = expr(0);
expect(';');
convert(n, -1);
if(t == TASSUME)
assume(n);
else
obviously(n);
break;
case ';':
lex();
break;
default:
n = expr(0);
convert(n, -1);
expect(';');
}
return 1;
}
void
parsinit(void)
{
Keyword *k;
fmtinstall('t', tokfmt);
fmtinstall(L'ε', exprfmt);
for(k = kwtab; k < kwtab + nelem(kwtab); k++)
if(kwjmp[k->name[0]] == nil)
kwjmp[k->name[0]] = k;
for(k = koptab; k < koptab + nelem(koptab); k++)
if(kopjmp[k->name[0]] == nil)
kopjmp[k->name[0]] = k;
}
void
parse(char *fn)
{
if(fn == nil){
bin = Bfdopen(0, OREAD);
line.filen = "<stdin>";
}else{
bin = Bopen(fn, OREAD);
line.filen = strdup(fn);
}
if(bin == nil) sysfatal("open: %r");
line.lineno = 1;
while(statement())
;
}