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jltypes.c
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jltypes.c
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/*
Types
. type predicates (subtype) and type matching
. builtin type definitions
*/
#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <stdarg.h>
#include <assert.h>
#include <sys/types.h>
#include <limits.h>
#include <errno.h>
#include <math.h>
#ifdef BOEHM_GC
#include <gc.h>
#endif
#include "llt.h"
#include "julia.h"
#include "newobj_internal.h"
jl_tag_type_t *jl_any_type;
jl_tag_type_t *jl_type_type;
jl_struct_type_t *jl_typename_type;
jl_struct_type_t *jl_sym_type;
jl_tuple_t *jl_tuple_type;
jl_typename_t *jl_tuple_typename;
jl_tag_type_t *jl_ntuple_type;
jl_typename_t *jl_ntuple_typename;
jl_struct_type_t *jl_tvar_type;
jl_struct_type_t *jl_func_kind;
jl_struct_type_t *jl_union_kind;
jl_struct_type_t *jl_tag_kind;
jl_struct_type_t *jl_struct_kind;
jl_struct_type_t *jl_bits_kind;
jl_type_t *jl_bottom_type;
jl_tag_type_t *jl_seq_type;
jl_tag_type_t *jl_tensor_type;
jl_tag_type_t *jl_scalar_type;
jl_tag_type_t *jl_number_type;
jl_tag_type_t *jl_real_type;
jl_tag_type_t *jl_int_type;
jl_tag_type_t *jl_float_type;
jl_bits_type_t *jl_bool_type;
jl_bits_type_t *jl_int8_type;
jl_bits_type_t *jl_uint8_type;
jl_bits_type_t *jl_int16_type;
jl_bits_type_t *jl_uint16_type;
jl_bits_type_t *jl_int32_type;
jl_bits_type_t *jl_uint32_type;
jl_bits_type_t *jl_int64_type;
jl_bits_type_t *jl_uint64_type;
jl_bits_type_t *jl_float32_type;
jl_bits_type_t *jl_float64_type;
jl_tuple_t *jl_null;
jl_func_type_t *jl_any_func;
jl_function_t *jl_bottom_func;
void jl_add_constructors(jl_struct_type_t *t);
// --- type properties and predicates ---
int jl_is_type(jl_value_t *v)
{
if (jl_is_tuple(v)) {
jl_tuple_t *t = (jl_tuple_t*)v;
size_t i;
for(i=0; i < t->length; i++) {
jl_value_t *vv = jl_tupleref(t, i);
if (!jl_is_typevar(vv) && !jl_is_type(vv) &&
!jl_is_typector(vv))
return 0;
}
return 1;
}
return (jl_typeis(v, jl_union_kind) ||
jl_typeis(v, jl_struct_kind) ||
jl_typeis(v, jl_func_kind) ||
jl_typeis(v, jl_tag_kind) ||
jl_typeis(v, jl_bits_kind));
}
int jl_has_typevars_(jl_value_t *v, int incl_wildcard);
DLLEXPORT int jl_is_leaf_type(jl_value_t *v)
{
if (jl_is_bits_type(v))
return 1;
if (jl_is_tuple(v)) {
jl_tuple_t *t = (jl_tuple_t*)v;
size_t i;
for(i=0; i < t->length; i++) {
if (!jl_is_leaf_type(jl_tupleref(t, i)))
return 0;
}
return 1;
}
if (!jl_is_struct_type(v))
return 0;
return !jl_has_typevars_(v,1);
}
int jl_has_typevars_(jl_value_t *v, int incl_wildcard)
{
size_t i;
if (jl_typeis(v, jl_tvar_type)) {
if (!((jl_tvar_t*)v)->bound)
return incl_wildcard;
return 1;
}
if (jl_is_func_type(v))
return jl_has_typevars_((jl_value_t*)((jl_func_type_t*)v)->from,
incl_wildcard) ||
jl_has_typevars_((jl_value_t*)((jl_func_type_t*)v)->to,
incl_wildcard);
jl_tuple_t *t;
if (jl_is_union_type(v))
t = ((jl_uniontype_t*)v)->types;
else if (jl_is_some_tag_type(v))
t = ((jl_tag_type_t*)v)->parameters;
else if (jl_is_tuple(v))
t = (jl_tuple_t*)v;
else
t = jl_null;
for(i=0; i < t->length; i++) {
jl_value_t *elt = jl_tupleref(t, i);
if (elt != v) {
if (jl_has_typevars_(elt, incl_wildcard))
return 1;
}
}
// probably not necessary; no reason to use match() instead of subtype()
// on the unconstrained version of a type
//if (jl_is_typector(v))
// return (((jl_typector_t*)v)->parameters->length > 0);
return 0;
}
int jl_has_typevars(jl_value_t *v)
{
return jl_has_typevars_(v, 0);
}
// construct the full type of a value, possibly making a tuple type
jl_value_t *jl_full_type(jl_value_t *v)
{
if (!jl_is_tuple(v))
return (jl_value_t*)jl_typeof(v);
jl_tuple_t *in = (jl_tuple_t*)v;
jl_tuple_t *out = jl_alloc_tuple(in->length);
size_t i;
for(i=0; i < in->length; i++) {
jl_tupleset(out, i, jl_full_type(jl_tupleref(in, i)));
}
return (jl_value_t*)out;
}
// --- union and intersection ---
static int count_union_components(jl_tuple_t *types)
{
size_t i, c=0;
for(i=0; i < types->length; i++) {
jl_value_t *e = jl_tupleref(types,i);
if (jl_is_union_type(e)) {
c += count_union_components(((jl_uniontype_t*)e)->types);
}
else {
c++;
}
}
return c;
}
static void flatten_type_union(jl_tuple_t *types, jl_value_t **out, size_t *idx)
{
size_t i;
for(i=0; i < types->length; i++) {
jl_value_t *e = jl_tupleref(types,i);
if (jl_is_union_type(e)) {
flatten_type_union(((jl_uniontype_t*)e)->types, out, idx);
}
else {
out[*idx] = e;
(*idx)++;
}
}
}
DLLEXPORT
jl_tuple_t *jl_compute_type_union(jl_tuple_t *types)
{
size_t n = count_union_components(types);
jl_value_t **temp = alloca(n * sizeof(jl_value_t*));
size_t idx=0;
flatten_type_union(types, temp, &idx);
assert(idx == n);
size_t i, j, ndel=0;
for(i=0; i < n; i++) {
for(j=0; j < n; j++) {
if (j != i && temp[i] && temp[j]) {
if (temp[i] == temp[j] ||
jl_types_equal(temp[i], temp[j]) ||
(jl_subtype(temp[i], temp[j], 0) /*&&
(temp[i] == (jl_value_t*)jl_bottom_type ||
!jl_has_typevars(temp[j]))*/)) {
temp[i] = NULL;
ndel++;
}
else if (jl_is_typevar(temp[i]) && jl_is_typevar(temp[j])) {
jl_tvar_t *ti = (jl_tvar_t*)temp[i];
jl_tvar_t *tj = (jl_tvar_t*)temp[j];
if (!ti->bound && !tj->bound) {
if (jl_subtype(ti->lb,tj->lb,0) &&
jl_subtype(ti->lb,tj->ub,0) &&
jl_subtype(ti->ub,tj->ub,0)) {
temp[j] =
(jl_value_t*)
jl_new_typevar(tj->name, ti->lb, tj->ub, 0);
temp[i] = NULL;
}
}
}
}
}
}
jl_tuple_t *result = jl_alloc_tuple(n - ndel);
j=0;
for(i=0; i < n; i++) {
if (temp[i] != NULL) {
jl_tupleset(result, j, temp[i]);
j++;
}
}
assert(j == n-ndel);
return result;
}
jl_value_t *jl_type_union(jl_tuple_t *types)
{
types = jl_compute_type_union(types);
if (types->length == 1)
return jl_tupleref(types, 0);
if (types->length == 0)
return (jl_value_t*)jl_bottom_type;
return (jl_value_t*)jl_new_uniontype(types);
}
static jl_value_t *unsafe_type_union(jl_tuple_t *types)
{
types = jl_compute_type_union(types);
if (types->length == 1)
return jl_tupleref(types, 0);
if (types->length == 0)
return (jl_value_t*)jl_bottom_type;
jl_uniontype_t *t = (jl_uniontype_t*)newobj((jl_type_t*)jl_union_kind, 1);
t->types = types;
return (jl_value_t*)t;
}
static jl_value_t *jl_type_intersect(jl_value_t *a, jl_value_t *b,
jl_tuple_t **penv);
static jl_value_t *intersect_union(jl_uniontype_t *a, jl_value_t *b,
jl_tuple_t **penv)
{
jl_tuple_t *t = jl_alloc_tuple(a->types->length);
size_t i;
for(i=0; i < t->length; i++) {
jl_tupleset(t, i, jl_type_intersect(jl_tupleref(a->types,i),b,penv));
}
// problem: an intermediate union type we make here might be too
// complex, even though the final type after typevars are replaced
// might be ok.
return unsafe_type_union(t);
}
// if returns with *bot!=0, then intersection is Bottom
static size_t tuple_intersect_size(jl_tuple_t *a, jl_tuple_t *b, int *bot)
{
size_t al = a->length;
size_t bl = b->length;
*bot = 0;
if (al == bl) return al;
if (al > bl) return tuple_intersect_size(b, a, bot);
assert(al < bl);
if (jl_is_seq_type(jl_tupleref(b,bl-1))) {
if (al > 0 && jl_is_seq_type(jl_tupleref(a,al-1))) {
return bl;
}
else {
if (bl == al+1)
return al;
*bot=1;
return 0;
}
}
if (al > 0 && jl_is_seq_type(jl_tupleref(a,al-1))) {
return bl;
}
*bot=1;
return 0;
}
static jl_value_t *intersect_tuple(jl_tuple_t *a, jl_tuple_t *b,
jl_tuple_t **penv)
{
size_t al = a->length;
size_t bl = b->length;
int bot=0;
size_t n = tuple_intersect_size(a, b, &bot);
if (bot)
return (jl_value_t*)jl_bottom_type;
if (n == 0) return (jl_value_t*)jl_null;
jl_tuple_t *tc = jl_alloc_tuple(n);
size_t ai=0, bi=0, ci;
jl_value_t *ae=NULL, *be=NULL;
int aseq=0, bseq=0;
for(ci=0; ci < n; ci++) {
if (ai < al) {
ae = jl_tupleref(a,ai);
if (jl_is_seq_type(ae)) {
aseq=1;
ae = jl_tparam0(ae);
}
ai++;
}
if (bi < bl) {
be = jl_tupleref(b,bi);
if (jl_is_seq_type(be)) {
bseq=1;
be = jl_tparam0(be);
}
bi++;
}
assert(ae!=NULL && be!=NULL);
jl_value_t *ce = jl_type_intersect(ae,be,penv);
if (ce == (jl_value_t*)jl_bottom_type) {
if (aseq && bseq) {
// (X∩Y)==∅ → (X...)∩(Y...) == ()
if (n == 1)
return (jl_value_t*)jl_null;
tc->length--;
return (jl_value_t*)tc;
}
return (jl_value_t*)jl_bottom_type;
}
if (aseq && bseq) {
ce = (jl_value_t*)jl_apply_type((jl_value_t*)jl_seq_type,
jl_tuple(1, ce));
}
jl_tupleset(tc, ci, ce);
}
return (jl_value_t*)tc;
}
static jl_value_t *intersect_tag(jl_tag_type_t *a, jl_tag_type_t *b,
jl_tuple_t **penv)
{
assert(a->name == b->name);
assert(a->parameters->length == b->parameters->length);
jl_tuple_t *p = jl_alloc_tuple(a->parameters->length);
size_t i;
for(i=0; i < p->length; i++) {
jl_value_t *ap = jl_tupleref(a->parameters,i);
jl_value_t *bp = jl_tupleref(b->parameters,i);
jl_value_t *ti;
if (a->name == jl_ntuple_typename || jl_is_tag_type(a) ||
jl_has_typevars_(ap,1) || jl_has_typevars_(bp,1)) {
ti = jl_type_intersect(ap,bp,penv);
}
else if (jl_types_equal(ap,bp)) {
ti = ap;
}
else {
return (jl_value_t*)jl_bottom_type;
}
if (ti == (jl_value_t*)jl_bottom_type)
return (jl_value_t*)jl_bottom_type;
jl_tupleset(p, i, ti);
}
if (a->name->primary != NULL)
return (jl_value_t*)jl_apply_type(a->name->primary, p);
assert(0 && "not yet implemented");
return NULL;
}
static void tvar_union(jl_tuple_t **penv, jl_tvar_t *a, jl_value_t *b)
{
// when we add X->Y, change all Z->X to Z->Y
if ((jl_value_t*)a == b) return;
jl_tuple_t *p = *penv;
while (p != jl_null) {
if (jl_t1(p) == (jl_value_t*)a) {
jl_t1(p) = b;
tvar_union(penv, (jl_tvar_t*)jl_t0(p), b);
}
p = (jl_tuple_t*)jl_nextpair(p);
}
}
static jl_value_t *tvar_find(jl_tuple_t **penv, jl_value_t *b)
{
jl_tuple_t *p = *penv;
while (p != jl_null) {
if (jl_t0(p) == b)
return jl_t1(p);
p = (jl_tuple_t*)jl_nextpair(p);
}
return b;
}
static jl_value_t *meet_tvars(jl_tvar_t *a, jl_tvar_t *b)
{
jl_value_t *lb, *ub;
if (jl_types_equal((jl_value_t*)a->lb, (jl_value_t*)b->lb) &&
jl_types_equal((jl_value_t*)a->ub, (jl_value_t*)b->ub))
return (jl_value_t*)b;
ub = jl_type_intersection((jl_value_t*)a->ub, (jl_value_t*)b->ub);
if (ub == (jl_value_t*)jl_bottom_type)
return ub;
lb = jl_type_union(jl_tuple(2, a->lb, b->lb));
if (!jl_subtype(lb, ub, 0))
return (jl_value_t*)jl_bottom_type;
// TODO: might not want to collapse tvar to non-tvar in all cases
if (jl_is_leaf_type(ub))
return ub;
return (jl_value_t*)
jl_new_typevar(jl_symbol("_"), lb, ub, a->bound || b->bound);
}
static jl_value_t *meet_tvar(jl_tvar_t *tv, jl_value_t *ty)
{
if (jl_is_typevar(ty))
return (jl_value_t*)meet_tvars(tv, (jl_tvar_t*)ty);
if (jl_types_equal((jl_value_t*)tv->ub, ty))
return ty;
if (jl_subtype((jl_value_t*)tv->ub, ty, 0))
return (jl_value_t*)tv;
// TODO: should we check type_intersection(tv->ub, ty) instead?
if (!jl_subtype(ty, (jl_value_t*)tv->ub, 0))
return (jl_value_t*)jl_bottom_type;
if (jl_types_equal((jl_value_t*)tv->lb, ty))
return ty;
if (jl_subtype((jl_value_t*)tv->lb, ty, 0)) {
if (jl_is_leaf_type(ty) || jl_is_int32(ty))
return ty;
return (jl_value_t*)
jl_new_typevar(jl_symbol("_"), tv->lb, ty, tv->bound);
}
return (jl_value_t*)jl_bottom_type;
}
// use, essentially, union-find on type variables to group them
// into equivalence classes.
static jl_value_t *intersect_typevar(jl_tvar_t *a, jl_value_t *b,
jl_tuple_t **penv)
{
if (jl_subtype(b, (jl_value_t*)a, 0)) {
if (!a->bound) return b;
}
else if (jl_subtype((jl_value_t*)a, b, 0)) {
if (!a->bound) return (jl_value_t*)a;
}
else {
return (jl_value_t*)jl_bottom_type;
}
jl_tuple_t *p = *penv;
while (p != jl_null) {
if (jl_t0(p) == (jl_value_t*)a) {
jl_value_t *ti = jl_type_intersect(jl_t1(p), b, penv);
if (ti == (jl_value_t*)jl_bottom_type)
return (jl_value_t*)jl_bottom_type;
if (jl_is_typevar(ti))
ti = tvar_find(penv, ti);
jl_t1(p) = ti;
tvar_union(penv, a, ti);
return (jl_value_t*)a;
}
p = (jl_tuple_t*)jl_nextpair(p);
}
if (jl_is_typevar(b))
b = tvar_find(penv, b);
jl_tuple_t *np = jl_tuple(3, (jl_value_t*)a, b, (jl_value_t*)*penv);
*penv = np;
tvar_union(penv, a, b);
return (jl_value_t*)a;
}
// TODO: handle NTuple
static jl_value_t *jl_type_intersect(jl_value_t *a, jl_value_t *b,
jl_tuple_t **penv)
{
if (jl_is_typector(a))
a = (jl_value_t*)((jl_typector_t*)a)->body;
if (jl_is_typector(b))
b = (jl_value_t*)((jl_typector_t*)b)->body;
if (a == b) return a;
if (jl_is_typevar(a))
return intersect_typevar((jl_tvar_t*)a, b, penv);
if (jl_is_typevar(b))
return intersect_typevar((jl_tvar_t*)b, a, penv);
if (a == (jl_value_t*)jl_any_type) return b;
if (b == (jl_value_t*)jl_any_type) return a;
if (a == (jl_value_t*)jl_bottom_type || b == (jl_value_t*)jl_bottom_type)
return (jl_value_t*)jl_bottom_type;
if (!jl_has_typevars(a) && !jl_has_typevars(b)) {
if (jl_subtype(a, b, 0))
return a;
if (jl_subtype(b, a, 0))
return b;
}
// union
if (jl_is_union_type(a))
return intersect_union((jl_uniontype_t*)a, b, penv);
if (jl_is_union_type(b))
return intersect_union((jl_uniontype_t*)b, a, penv);
// tuple
if (jl_is_tuple(a)) {
if (!jl_is_tuple(b))
return (jl_value_t*)jl_bottom_type;
return intersect_tuple((jl_tuple_t*)a, (jl_tuple_t*)b, penv);
}
if (jl_is_tuple(b))
return (jl_value_t*)jl_bottom_type;
// function
if (jl_is_func_type(a)) {
if (!jl_is_func_type(b))
return (jl_value_t*)jl_bottom_type;
return
(jl_value_t*)jl_new_functype((jl_type_t*)
jl_type_union(jl_tuple(2,((jl_func_type_t*)a)->from,
((jl_func_type_t*)b)->from)),
(jl_type_t*)
jl_type_intersect((jl_value_t*)((jl_func_type_t*)a)->to,
(jl_value_t*)((jl_func_type_t*)b)->to, penv));
}
if (jl_is_func_type(b))
return (jl_value_t*)jl_bottom_type;
if (jl_is_int32(a) || jl_is_int32(b))
return (jl_value_t*)jl_bottom_type;
// tag
assert(jl_is_some_tag_type(a));
assert(jl_is_some_tag_type(b));
jl_tag_type_t *tta = (jl_tag_type_t*)a;
jl_tag_type_t *ttb = (jl_tag_type_t*)b;
if (tta->name == ttb->name)
return (jl_value_t*)intersect_tag(tta, ttb, penv);
jl_tag_type_t *super = NULL;
jl_tag_type_t *sub = NULL;
jl_value_t *ti;
while (tta != jl_any_type) {
if (tta->name == ttb->name) {
ti = intersect_tag(tta, ttb, penv);
if (ti == (jl_value_t*)jl_bottom_type) return ti;
super = (jl_tag_type_t*)ti;
sub = (jl_tag_type_t*)a;
break;
}
tta = tta->super;
}
if (super == NULL) {
tta = (jl_tag_type_t*)a;
while (ttb != jl_any_type) {
if (tta->name == ttb->name) {
ti = intersect_tag(tta, ttb, penv);
if (ti == (jl_value_t*)jl_bottom_type) return ti;
super = (jl_tag_type_t*)ti;
sub = (jl_tag_type_t*)b;
break;
}
ttb = ttb->super;
}
}
if (super == NULL)
return (jl_value_t*)jl_bottom_type;
size_t n = sub->parameters->length;
if (n == 0) return (jl_value_t*)sub;
assert(sub->name->primary != NULL);
jl_value_t *tc = sub->name->primary;
// compute what constraints the supertype imposes on the subtype
jl_tuple_t *sup_params =
((jl_tag_type_t*)((jl_tag_type_t*)tc)->super)->parameters;
// match the intersected supertype against the pattern this subtype
// uses to instantiate its supertype. this tells us what subtype parameter
// values are implied by the intersected supertype, or that the
// intersected supertype cannot come from this subtype (in which case
// our final answer is Bottom).
jl_value_t *env = jl_type_match((jl_value_t*)super->parameters,
(jl_value_t*)sup_params);
if (env == jl_false)
return (jl_value_t*)jl_bottom_type;
jl_tuple_t *p = jl_alloc_tuple(n);
size_t i;
for(i=0; i < n; i++) {
jl_value_t *tp = jl_tupleref(((jl_tag_type_t*)tc)->parameters, i);
jl_value_t *elt = jl_tupleref(sub->parameters, i);
jl_value_t *e = env;
while (e != (jl_value_t*)jl_null) {
if (jl_t0(e) == tp) {
elt = jl_type_intersect(elt, jl_t1(e), penv);
break;
}
e = jl_nextpair(e);
}
jl_tupleset(p, i, elt);
}
return (jl_value_t*)jl_apply_type(tc, p);
}
jl_value_t *jl_type_intersection(jl_value_t *a, jl_value_t *b)
{
jl_tuple_t *env = jl_null;
return jl_type_intersection_matching(a, b, &env);
}
jl_value_t *jl_type_intersection_matching(jl_value_t *a, jl_value_t *b,
jl_tuple_t **penv)
{
jl_value_t *ti = jl_type_intersect(a, b, penv);
if (ti == (jl_value_t*)jl_bottom_type)
return ti;
if (*penv != jl_null) {
//jl_print(*penv); ios_printf(ios_stdout,"\n");
jl_tuple_t *p = *penv;
while (p != jl_null) {
jl_tvar_t *tv = (jl_tvar_t*)jl_t0(p);
jl_value_t *pv = jl_t1(p);
jl_value_t *m = meet_tvar(tv, pv);
if (m == (jl_value_t*)jl_bottom_type)
return m;
if (m != pv) {
if (jl_is_typevar(pv))
tvar_union(penv, (jl_tvar_t*)pv, m);
jl_t1(p) = m;
tvar_union(penv, tv, m);
}
p = (jl_tuple_t*)jl_nextpair(p);
}
jl_tuple_t *t = jl_flatten_pairs(*penv);
return (jl_value_t*)
jl_instantiate_type_with((jl_type_t*)ti,
&jl_tupleref(t, 0), t->length/2);
}
return ti;
}
// --- type instantiation and cache ---
static int extensionally_same_type(jl_value_t *a, jl_value_t *b)
{
return (jl_subtype(a, b, 0) && jl_subtype(b, a, 0));
}
typedef struct _jl_value_pair_t {
jl_value_t *a;
jl_value_t *b;
struct _jl_value_pair_t *next;
} jl_value_pair_t;
static int type_eqv_(jl_value_t *a, jl_value_t *b, jl_value_pair_t *stack)
{
jl_value_pair_t top;
if (a == b) return 1;
if (jl_is_typector(a)) a = (jl_value_t*)((jl_typector_t*)a)->body;
if (jl_is_typector(b)) b = (jl_value_t*)((jl_typector_t*)b)->body;
if (jl_is_typevar(a) || jl_is_typevar(b)) return 0;
if (jl_is_int32(a)) {
if (jl_is_int32(b))
return (jl_unbox_int32(a) == jl_unbox_int32(b));
return 0;
}
if (jl_is_int32(b)) return 0;
if (jl_is_tuple(a)) {
if (jl_is_tuple(b)) {
return extensionally_same_type(a, b);
}
return 0;
}
if (jl_is_union_type(a)) {
if (jl_is_union_type(b)) {
return extensionally_same_type(a, b);
}
return 0;
}
if (jl_is_tuple(b) || jl_is_union_type(b)) return 0;
jl_value_pair_t *p = stack;
while (p != NULL) {
if (p->a == a && p->b == b)
return 1;
p = p->next;
}
top.a = a;
top.b = b;
top.next = stack;
stack = ⊤
if (jl_is_func_type(a)) {
if (jl_is_func_type(b)) {
return (type_eqv_((jl_value_t*)((jl_func_type_t*)a)->from,
(jl_value_t*)((jl_func_type_t*)b)->from, stack) &&
type_eqv_((jl_value_t*)((jl_func_type_t*)a)->to,
(jl_value_t*)((jl_func_type_t*)b)->to, stack));
}
return 0;
}
if (jl_is_func_type(b)) return 0;
assert(jl_is_some_tag_type(a));
assert(jl_is_some_tag_type(b));
jl_tag_type_t *tta = (jl_tag_type_t*)a;
jl_tag_type_t *ttb = (jl_tag_type_t*)b;
if (tta->name != ttb->name) return 0;
jl_tuple_t *ap = tta->parameters;
jl_tuple_t *bp = ttb->parameters;
if (ap->length != bp->length) return 0;
size_t i;
for(i=0; i < ap->length; i++) {
if (!type_eqv_(jl_tupleref(ap,i), jl_tupleref(bp,i), stack))
return 0;
}
return 1;
}
int jl_types_equal(jl_value_t *a, jl_value_t *b)
{
return type_eqv_(a, b, NULL);
}
static int type_le_generic(jl_value_t *a, jl_value_t *b)
{
jl_value_t *env = jl_type_match(a, b);
if (env == jl_false) return 0;
jl_value_t *vp = env;
jl_value_t *x;
// make sure all typevars correspond to other unique typevars
while (vp != (jl_value_t*)jl_null) {
if (!jl_is_typevar(jl_t1(vp)))
return 0;
x = env;
while (x != (jl_value_t*)jl_null) {
if (x != vp) {
if (jl_t1(x) == jl_t1(vp))
return 0;
}
x = jl_nextpair(x);
}
vp = jl_nextpair(vp);
}
return 1;
}
int jl_types_equal_generic(jl_value_t *a, jl_value_t *b)
{
return type_le_generic(a, b) && type_le_generic(b, a);
}
static jl_value_t *apply_type_(jl_value_t *tc, jl_value_t **params, size_t n)
{
if (n == 0) {
if (jl_is_typector(tc))
return (jl_value_t*)((jl_typector_t*)tc)->body;
return tc;
}
size_t i;
char *tname;
jl_tuple_t *tp;
if (jl_is_typector(tc)) {
tp = ((jl_typector_t*)tc)->parameters;
tname = "alias";
}
else {
assert(jl_is_some_tag_type(tc));
tp = ((jl_tag_type_t*)tc)->parameters;
tname = ((jl_tag_type_t*)tc)->name->name->name;
}
for(i=0; i < n; i++) {
jl_value_t *pi = params[i];
if (!jl_is_typector(pi) && !jl_is_type(pi) && !jl_is_int32(pi) &&
!jl_is_typevar(pi))
jl_errorf("invalid parameter %s for type %s",
jl_print_to_string(pi), tname);
}
if (tc == (jl_value_t*)jl_ntuple_type && (n==1||n==2) &&
jl_is_int32(params[0])) {
size_t nt = jl_unbox_int32(params[0]);
if (nt == 0) return (jl_value_t*)jl_null;
if (n==2) {
jl_tuple_t *tup = jl_alloc_tuple(nt);
jl_value_t *eltype = params[1];
for(i=0; i < nt; i++) {
jl_tupleset(tup, i, eltype);
}
return (jl_value_t*)tup;
}
}
if (n > tp->length)
jl_errorf("too many parameters for type %s", tname);
jl_value_t **env = alloca(2 * tp->length * sizeof(jl_value_t*));
for(i=0; i < tp->length; i++) {
jl_tvar_t *tv = (jl_tvar_t*)jl_tupleref(tp,i);
if (!jl_is_typevar(tv))
continue;
env[i*2+0] = (jl_value_t*)tv;
if (i >= n) {
env[i*2+1] = (jl_value_t*)tv;
}
else {
if (!jl_is_typevar(params[i]) &&
// TODO: Undef should not be special here; fix.
// maybe introduce Top == Union(Any,Undef), and make this
// the default upper bound.
params[i] != (jl_value_t*)jl_undef_type &&
!jl_subtype(params[i], (jl_value_t*)tv, 0))
jl_errorf("%s: %s does not match type parameter %s",
tname, jl_print_to_string(params[i]),
jl_print_to_string((jl_value_t*)tv));
if (jl_is_typector(params[i]))
env[i*2+1] = (jl_value_t*)((jl_typector_t*)params[i])->body;
else
env[i*2+1] = params[i];
}
}
if (jl_is_typector(tc)) tc = (jl_value_t*)((jl_typector_t*)tc)->body;
return (jl_value_t*)jl_instantiate_type_with((jl_type_t*)tc, env, i);
}
jl_value_t *jl_apply_type(jl_value_t *tc, jl_tuple_t *params)
{
return apply_type_(tc, &jl_tupleref(params,0), params->length);
}
typedef struct _typekey_stack_t {
jl_value_t **key;
size_t n; // key length
jl_type_t *type;
struct _typekey_stack_t *next;
} typekey_stack_t;
static jl_type_t *lookup_type(typekey_stack_t *table, jl_value_t **key,
size_t n)
{
assert(n > 0);
while (table != NULL) {
assert(table->n > 0);
if (table->n == n && table->key[0] == key[0]) {
size_t i;
for(i=1; i < n; i++) {
if (!jl_types_equal(table->key[i], key[i]))
break;
}
if (i==n) return table->type;
}
table = table->next;
}
return NULL;
}
static int t_uid_ctr = 1; // TODO: lock
int jl_assign_type_uid()
{
return t_uid_ctr++;
}
// TODO: synchronize
// TODO: convert to hash table
static typekey_stack_t *Type_Cache = NULL;
static void cache_type_(jl_value_t **key, size_t n, jl_type_t *type)
{
// only cache concrete types
if (jl_has_typevars((jl_value_t*)type))
return;
// assign uid
if (jl_is_struct_type(type))
((jl_struct_type_t*)type)->uid = t_uid_ctr++;
else if (jl_is_bits_type(type))
((jl_bits_type_t*)type)->uid = t_uid_ctr++;
typekey_stack_t *tk = (typekey_stack_t*)allocb(sizeof(typekey_stack_t));
tk->key = (jl_value_t**)allocb(n * sizeof(void*));
size_t i;
for(i=0; i < n; i++) tk->key[i] = key[i];
tk->n = n;
tk->type = type;
tk->next = Type_Cache;
Type_Cache = tk;
}
JL_CALLABLE(jl_f_tuple);
JL_CALLABLE(jl_constructor_factory_trampoline);
static jl_type_t *inst_type_w_(jl_value_t *t, jl_value_t **env, size_t n,
typekey_stack_t *stack)
{
typekey_stack_t top;
size_t i;
if (n == 0) return (jl_type_t*)t;
if (jl_is_typevar(t)) {
for(i=0; i < n; i++) {
if (env[i*2] == t)
return (jl_type_t*)env[i*2+1];
}
return (jl_type_t*)t;
}
if (jl_is_tuple(t)) {
jl_tuple_t *p = (jl_tuple_t*)t;
jl_tuple_t *nt = jl_alloc_tuple(p->length);
for(i=0; i < p->length; i++) {
jl_tupleset(nt, i, (jl_value_t*)inst_type_w_(jl_tupleref(p,i), env, n, stack));
}
return (jl_type_t*)nt;
}
if (jl_is_union_type(t)) {
jl_tuple_t *tw = (jl_tuple_t*)inst_type_w_((jl_value_t*)((jl_uniontype_t*)t)->types,
env, n, stack);
return (jl_type_t*)jl_new_uniontype(tw);
}
if (jl_is_func_type(t)) {
jl_func_type_t *ft = (jl_func_type_t*)t;
return (jl_type_t*)jl_new_functype(inst_type_w_((jl_value_t*)ft->from, env, n, stack),
inst_type_w_((jl_value_t*)ft->to , env, n, stack));
}
if (jl_is_some_tag_type(t)) {
jl_tag_type_t *tt = (jl_tag_type_t*)t;
jl_tuple_t *tp = tt->parameters;
if (jl_is_null(tp))
return (jl_type_t*)t;
size_t ntp = tp->length;
jl_value_t **iparams = (jl_value_t**)alloca((ntp+1) * sizeof(void*));
for(i=0; i < ntp; i++) {
jl_value_t *elt = jl_tupleref(tp, i);
if (elt == t)
iparams[i+1] = t;
else
iparams[i+1] = (jl_value_t*)inst_type_w_(elt, env, n, stack);
}
jl_typename_t *tn = tt->name;
iparams[0] = (jl_value_t*)tn;
// if an identical instantiation is already in process somewhere
// up the stack, return it. this computes a fixed point for
// recursive types.
jl_type_t *lkup = lookup_type(stack, iparams, ntp+1);
if (lkup != NULL) return lkup;
// check type cache
lkup = lookup_type(Type_Cache, iparams, ntp+1);
if (lkup != NULL) return lkup;
// always use original type constructor (?)
// only necessary for special cases like NTuple
jl_value_t *tc = tn->primary;
if (tc == (jl_value_t*)jl_ntuple_type && tc != t)//(tc != NULL && tc != t)
return (jl_type_t*)apply_type_(tc, &iparams[1], ntp);
// move array of instantiated parameters to heap; we need to keep it
jl_tuple_t *iparams_tuple = jl_alloc_tuple(ntp);
for(i=0; i < ntp; i++)
jl_tupleset(iparams_tuple, i, iparams[i+1]);
if (jl_is_tag_type(t)) {
jl_tag_type_t *tagt = (jl_tag_type_t*)t;
jl_tag_type_t *ntt =
(jl_tag_type_t*)newobj((jl_type_t*)jl_tag_kind, TAG_TYPE_NW);
top.key = iparams;
top.n = ntp+1;
top.type = (jl_type_t*)ntt;
top.next = stack;
stack = ⊤
ntt->name = tn;
ntt->super = (jl_tag_type_t*)inst_type_w_((jl_value_t*)tagt->super,env,n,stack);
ntt->parameters = iparams_tuple;
return (jl_type_t*)ntt;
}
else if (jl_is_bits_type(t)) {
jl_bits_type_t *bitst = (jl_bits_type_t*)t;
jl_bits_type_t *nbt =
(jl_bits_type_t*)newobj((jl_type_t*)jl_bits_kind, BITS_TYPE_NW);
top.key = iparams;
top.n = ntp+1;
top.type = (jl_type_t*)nbt;
top.next = stack;
stack = ⊤
nbt->name = tn;
nbt->super = (jl_tag_type_t*)inst_type_w_((jl_value_t*)bitst->super, env, n, stack);
nbt->parameters = iparams_tuple;
nbt->nbits = bitst->nbits;
cache_type_(iparams, ntp+1, (jl_type_t*)nbt);
return (jl_type_t*)nbt;
}
else {
assert(jl_is_struct_type(t));
jl_struct_type_t *st = (jl_struct_type_t*)t;
// create and initialize new struct type