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jltypes.c
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jltypes.c
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// This file is a part of Julia. License is MIT: https://julialang.org/license
/*
Types
. type union, type cache, and instantiation
. builtin type definitions
*/
#include <stdlib.h>
#include <string.h>
#ifdef _OS_WINDOWS_
#include <malloc.h>
#endif
#include "julia.h"
#include "julia_internal.h"
#include "builtin_proto.h"
#include "julia_assert.h"
#ifdef __cplusplus
extern "C" {
#endif
// compute empirical max-probe for a given size
#define max_probe(size) ((size) <= 1024 ? 16 : (size) >> 6)
#define h2index(hv, sz) (size_t)((hv) & ((sz)-1))
// --- type properties and predicates ---
static int typeenv_has(jl_typeenv_t *env, jl_tvar_t *v) JL_NOTSAFEPOINT
{
while (env != NULL) {
if (env->var == v)
return 1;
env = env->prev;
}
return 0;
}
static int has_free_typevars(jl_value_t *v, jl_typeenv_t *env) JL_NOTSAFEPOINT
{
if (jl_typeis(v, jl_tvar_type)) {
return !typeenv_has(env, (jl_tvar_t*)v);
}
if (jl_is_uniontype(v))
return has_free_typevars(((jl_uniontype_t*)v)->a, env) ||
has_free_typevars(((jl_uniontype_t*)v)->b, env);
if (jl_is_unionall(v)) {
jl_unionall_t *ua = (jl_unionall_t*)v;
jl_typeenv_t newenv = { ua->var, NULL, env };
return has_free_typevars(ua->var->lb, env) || has_free_typevars(ua->var->ub, env) ||
has_free_typevars(ua->body, &newenv);
}
if (jl_is_datatype(v)) {
int expect = ((jl_datatype_t*)v)->hasfreetypevars;
if (expect == 0 || env == NULL)
return expect;
size_t i;
for (i=0; i < jl_nparams(v); i++) {
if (has_free_typevars(jl_tparam(v,i), env)) {
assert(expect);
return 1;
}
}
}
return 0;
}
JL_DLLEXPORT int jl_has_free_typevars(jl_value_t *v) JL_NOTSAFEPOINT
{
return has_free_typevars(v, NULL);
}
static void find_free_typevars(jl_value_t *v, jl_typeenv_t *env, jl_array_t *out)
{
if (jl_typeis(v, jl_tvar_type)) {
if (!typeenv_has(env, (jl_tvar_t*)v))
jl_array_ptr_1d_push(out, v);
}
else if (jl_is_uniontype(v)) {
find_free_typevars(((jl_uniontype_t*)v)->a, env, out);
find_free_typevars(((jl_uniontype_t*)v)->b, env, out);
}
else if (jl_is_unionall(v)) {
jl_unionall_t *ua = (jl_unionall_t*)v;
jl_typeenv_t newenv = { ua->var, NULL, env };
find_free_typevars(ua->var->lb, env, out);
find_free_typevars(ua->var->ub, env, out);
find_free_typevars(ua->body, &newenv, out);
}
else if (jl_is_datatype(v)) {
if (!((jl_datatype_t*)v)->hasfreetypevars)
return;
size_t i;
for (i=0; i < jl_nparams(v); i++)
find_free_typevars(jl_tparam(v,i), env, out);
}
}
JL_DLLEXPORT jl_array_t *jl_find_free_typevars(jl_value_t *v)
{
jl_array_t *out = jl_alloc_vec_any(0);
JL_GC_PUSH1(&out);
find_free_typevars(v, NULL, out);
JL_GC_POP();
return out;
}
// test whether a type has vars bound by the given environment
static int jl_has_bound_typevars(jl_value_t *v, jl_typeenv_t *env) JL_NOTSAFEPOINT
{
if (jl_typeis(v, jl_tvar_type))
return typeenv_has(env, (jl_tvar_t*)v);
if (jl_is_uniontype(v))
return jl_has_bound_typevars(((jl_uniontype_t*)v)->a, env) ||
jl_has_bound_typevars(((jl_uniontype_t*)v)->b, env);
if (jl_is_unionall(v)) {
jl_unionall_t *ua = (jl_unionall_t*)v;
if (jl_has_bound_typevars(ua->var->lb, env) || jl_has_bound_typevars(ua->var->ub, env))
return 1;
jl_typeenv_t *te = env;
while (te != NULL) {
if (te->var == ua->var)
break;
te = te->prev;
}
if (te) te->var = NULL; // temporarily remove this var from env
int ans = jl_has_bound_typevars(ua->body, env);
if (te) te->var = ua->var;
return ans;
}
if (jl_is_datatype(v)) {
if (!((jl_datatype_t*)v)->hasfreetypevars)
return 0;
size_t i;
for (i=0; i < jl_nparams(v); i++) {
if (jl_has_bound_typevars(jl_tparam(v,i), env))
return 1;
}
}
return 0;
}
JL_DLLEXPORT int jl_has_typevar(jl_value_t *t, jl_tvar_t *v) JL_NOTSAFEPOINT
{
jl_typeenv_t env = { v, NULL, NULL };
return jl_has_bound_typevars(t, &env);
}
static int _jl_has_typevar_from_ua(jl_value_t *t, jl_unionall_t *ua, jl_typeenv_t *prev)
{
jl_typeenv_t env = { ua->var, NULL, prev };
if (jl_is_unionall(ua->body))
return _jl_has_typevar_from_ua(t, (jl_unionall_t*)ua->body, &env);
else
return jl_has_bound_typevars(t, &env);
}
JL_DLLEXPORT int jl_has_typevar_from_unionall(jl_value_t *t, jl_unionall_t *ua)
{
return _jl_has_typevar_from_ua(t, ua, NULL);
}
// Return true for any type (Integer or Unsigned) that can fit in a
// size_t and pass back value, else return false
JL_DLLEXPORT int jl_get_size(jl_value_t *val, size_t *pnt)
{
if (jl_is_long(val)) {
ssize_t slen = jl_unbox_long(val);
if (slen < 0)
jl_errorf("size or dimension is negative: %d", slen);
*pnt = slen;
return 1;
}
return 0;
}
// --- type union ---
static int count_union_components(jl_value_t **types, size_t n)
{
size_t i, c=0;
for(i=0; i < n; i++) {
jl_value_t *e = types[i];
if (jl_is_uniontype(e)) {
jl_uniontype_t *u = (jl_uniontype_t*)e;
c += count_union_components(&u->a, 1);
c += count_union_components(&u->b, 1);
}
else {
c++;
}
}
return c;
}
int jl_count_union_components(jl_value_t *v)
{
if (!jl_is_uniontype(v)) return 1;
jl_uniontype_t *u = (jl_uniontype_t*)v;
return jl_count_union_components(u->a) + jl_count_union_components(u->b);
}
// Return the `*pi`th element of a nested type union, according to a
// standard traversal order. Anything that is not itself a `Union` is
// considered an "element". `*pi` is destroyed in the process.
static jl_value_t *nth_union_component(jl_value_t *v, int *pi) JL_NOTSAFEPOINT
{
if (!jl_is_uniontype(v)) {
if (*pi == 0)
return v;
(*pi)--;
return NULL;
}
jl_uniontype_t *u = (jl_uniontype_t*)v;
jl_value_t *a = nth_union_component(u->a, pi);
if (a) return a;
return nth_union_component(u->b, pi);
}
jl_value_t *jl_nth_union_component(jl_value_t *v, int i) JL_NOTSAFEPOINT
{
return nth_union_component(v, &i);
}
// inverse of jl_nth_union_component
int jl_find_union_component(jl_value_t *haystack, jl_value_t *needle, unsigned *nth) JL_NOTSAFEPOINT
{
if (jl_is_uniontype(haystack)) {
if (jl_find_union_component(((jl_uniontype_t*)haystack)->a, needle, nth))
return 1;
if (jl_find_union_component(((jl_uniontype_t*)haystack)->b, needle, nth))
return 1;
return 0;
}
if (needle == haystack)
return 1;
(*nth)++;
return 0;
}
static void flatten_type_union(jl_value_t **types, size_t n, jl_value_t **out, size_t *idx) JL_NOTSAFEPOINT
{
size_t i;
for(i=0; i < n; i++) {
jl_value_t *e = types[i];
if (jl_is_uniontype(e)) {
jl_uniontype_t *u = (jl_uniontype_t*)e;
flatten_type_union(&u->a, 1, out, idx);
flatten_type_union(&u->b, 1, out, idx);
}
else {
out[*idx] = e;
(*idx)++;
}
}
}
STATIC_INLINE const char *datatype_module_name(jl_value_t *t) JL_NOTSAFEPOINT
{
if (((jl_datatype_t*)t)->name->module == NULL)
return NULL;
return jl_symbol_name(((jl_datatype_t*)t)->name->module->name);
}
STATIC_INLINE const char *str_(const char *s) JL_NOTSAFEPOINT
{
return s == NULL ? "" : s;
}
STATIC_INLINE int cmp_(int a, int b) JL_NOTSAFEPOINT
{
return a < b ? -1 : a > b;
}
// a/b are jl_datatype_t* & not NULL
static int datatype_name_cmp(jl_value_t *a, jl_value_t *b) JL_NOTSAFEPOINT
{
if (!jl_is_datatype(a))
return jl_is_datatype(b) ? 1 : 0;
if (!jl_is_datatype(b))
return -1;
int cmp = strcmp(str_(datatype_module_name(a)), str_(datatype_module_name(b)));
if (cmp != 0)
return cmp;
cmp = strcmp(str_(jl_typename_str(a)), str_(jl_typename_str(b)));
if (cmp != 0)
return cmp;
cmp = cmp_(jl_nparams(a), jl_nparams(b));
if (cmp != 0)
return cmp;
// compare up to 3 type parameters
for (int i = 0; i < 3 && i < jl_nparams(a); i++) {
jl_value_t *ap = jl_tparam(a, i);
jl_value_t *bp = jl_tparam(b, i);
if (ap == bp) {
continue;
}
else if (jl_is_datatype(ap) && jl_is_datatype(bp)) {
cmp = datatype_name_cmp(ap, bp);
if (cmp != 0)
return cmp;
}
else if (jl_is_unionall(ap) && jl_is_unionall(bp)) {
cmp = datatype_name_cmp(jl_unwrap_unionall(ap), jl_unwrap_unionall(bp));
if (cmp != 0)
return cmp;
}
else {
// give up
cmp = 0;
}
}
return cmp;
}
// sort singletons first, then DataTypes, then UnionAlls,
// ties broken alphabetically including module name & type parameters
static int union_sort_cmp(const void *ap, const void *bp) JL_NOTSAFEPOINT
{
jl_value_t *a = *(jl_value_t**)ap;
jl_value_t *b = *(jl_value_t**)bp;
if (a == NULL)
return b == NULL ? 0 : 1;
if (b == NULL)
return -1;
if (jl_is_datatype(a)) {
if (!jl_is_datatype(b))
return -1;
if (jl_is_datatype_singleton((jl_datatype_t*)a)) {
if (jl_is_datatype_singleton((jl_datatype_t*)b))
return datatype_name_cmp(a, b);
return -1;
}
else if (jl_is_datatype_singleton((jl_datatype_t*)b)) {
return 1;
}
else if (jl_isbits(a)) {
if (jl_isbits(b))
return datatype_name_cmp(a, b);
return -1;
}
else if (jl_isbits(b)) {
return 1;
}
else {
return datatype_name_cmp(a, b);
}
}
else {
if (jl_is_datatype(b))
return 1;
return datatype_name_cmp(jl_unwrap_unionall(a), jl_unwrap_unionall(b));
}
}
JL_DLLEXPORT jl_value_t *jl_type_union(jl_value_t **ts, size_t n)
{
if (n == 0) return (jl_value_t*)jl_bottom_type;
size_t i;
for(i=0; i < n; i++) {
jl_value_t *pi = ts[i];
if (!(jl_is_type(pi) || jl_is_typevar(pi)) || jl_is_vararg_type(pi))
jl_type_error("Union", (jl_value_t*)jl_type_type, pi);
}
if (n == 1) return ts[0];
size_t nt = count_union_components(ts, n);
jl_value_t **temp;
JL_GC_PUSHARGS(temp, nt+1);
size_t count = 0;
flatten_type_union(ts, n, temp, &count);
assert(count == nt);
size_t j;
for(i=0; i < nt; i++) {
int has_free = temp[i]!=NULL && jl_has_free_typevars(temp[i]);
for(j=0; j < nt; j++) {
if (j != i && temp[i] && temp[j]) {
if (temp[i] == temp[j] || temp[i] == jl_bottom_type ||
temp[j] == (jl_value_t*)jl_any_type ||
jl_egal(temp[i], temp[j]) ||
(!has_free && !jl_has_free_typevars(temp[j]) &&
jl_subtype(temp[i], temp[j]))) {
temp[i] = NULL;
}
}
}
}
qsort(temp, nt, sizeof(jl_value_t*), union_sort_cmp);
jl_value_t **ptu = &temp[nt];
*ptu = jl_bottom_type;
int k;
for (k = (int)nt-1; k >= 0; --k) {
if (temp[k] != NULL) {
if (*ptu == jl_bottom_type)
*ptu = temp[k];
else
*ptu = jl_new_struct(jl_uniontype_type, temp[k], *ptu);
}
}
assert(*ptu != NULL);
jl_value_t *tu = *ptu;
JL_GC_POP();
return tu;
}
// unionall types -------------------------------------------------------------
JL_DLLEXPORT jl_value_t *jl_type_unionall(jl_tvar_t *v, jl_value_t *body)
{
if (!jl_is_type(body) && !jl_is_typevar(body))
jl_type_error("UnionAll", (jl_value_t*)jl_type_type, body);
// normalize `T where T<:S` => S
if (body == (jl_value_t*)v)
return v->ub;
// where var doesn't occur in body just return body
if (!jl_has_typevar(body, v))
return body;
//if (v->lb == v->ub) // TODO maybe
// return jl_substitute_var(body, v, v->ub);
return jl_new_struct(jl_unionall_type, v, body);
}
// --- type instantiation and cache ---
static int typekey_eq(jl_datatype_t *tt, jl_value_t **key, size_t n)
{
size_t j;
// TOOD: This shouldn't be necessary
JL_GC_PROMISE_ROOTED(tt);
size_t tnp = jl_nparams(tt);
if (n != tnp)
return 0;
if (tt->name == jl_type_typename) {
// for Type{T}, require `typeof(T)` to match also, to avoid incorrect
// dispatch from changing the type of something.
// this should work because `Type`s don't have uids, and aren't the
// direct tags of values so we don't rely on pointer equality.
jl_value_t *kj = key[0];
jl_value_t *tj = jl_tparam0(tt);
return (kj == tj || (jl_typeof(tj) == jl_typeof(kj) && jl_types_equal(tj, kj)));
}
for (j = 0; j < n; j++) {
jl_value_t *kj = key[j];
jl_value_t *tj = jl_svecref(tt->parameters, j);
if (tj != kj) {
// require exact same Type{T}. see e.g. issue #22842
if (jl_is_type_type(tj) || jl_is_type_type(kj))
return 0;
if ((jl_is_concrete_type(tj) || jl_is_concrete_type(kj)) &&
jl_type_equality_is_identity(tj, kj))
return 0;
if (!jl_types_equal(tj, kj))
return 0;
}
}
return 1;
}
// These `value` functions return the same values as the primary functions,
// but operate on the typeof/Typeof each object in an array
static int typekeyvalue_eq(jl_datatype_t *tt, jl_value_t *key1, jl_value_t **key, size_t n, int leaf)
{
size_t j;
// TOOD: This shouldn't be necessary
JL_GC_PROMISE_ROOTED(tt);
size_t tnp = jl_nparams(tt);
if (n != tnp)
return 0;
if (leaf && tt->name == jl_type_typename) {
// for Type{T}, require `typeof(T)` to match also, to avoid incorrect
// dispatch from changing the type of something.
// this should work because `Type`s don't have uids, and aren't the
// direct tags of values so we don't rely on pointer equality.
jl_value_t *kj = key1;
jl_value_t *tj = jl_tparam0(tt);
return (kj == tj || (jl_typeof(tj) == jl_typeof(kj) && jl_types_equal(tj, kj)));
}
for (j = 0; j < n; j++) {
jl_value_t *kj = j == 0 ? key1 : key[j - 1];
jl_value_t *tj = jl_svecref(tt->parameters, j);
if (leaf && jl_is_type_type(tj)) {
jl_value_t *tp0 = jl_tparam0(tj);
if (!(kj == tp0 || (jl_typeof(tp0) == jl_typeof(kj) && jl_types_equal(tp0, kj))))
return 0;
}
else if (jl_typeof(kj) != tj) {
return 0;
}
else if (leaf && jl_is_kind(tj)) {
return 0;
}
}
return 1;
}
static unsigned typekey_hash(jl_typename_t *tn, jl_value_t **key, size_t n, int nofail) JL_NOTSAFEPOINT;
static unsigned typekeyvalue_hash(jl_typename_t *tn, jl_value_t *key1, jl_value_t **key, size_t n, int leaf) JL_NOTSAFEPOINT;
/* returns val if key is in hash, otherwise NULL */
static jl_datatype_t *lookup_type_set(jl_svec_t *cache, jl_value_t **key, size_t n, uint_t hv)
{
size_t sz = jl_svec_len(cache);
if (sz == 0)
return NULL;
size_t maxprobe = max_probe(sz);
jl_datatype_t **tab = (jl_datatype_t**)jl_svec_data(cache);
size_t index = h2index(hv, sz);
size_t orig = index;
size_t iter = 0;
do {
jl_datatype_t *val = jl_atomic_load_relaxed(&tab[index]);
if (val == NULL)
return NULL;
if ((jl_value_t*)val != jl_nothing && val->hash == hv && typekey_eq(val, key, n))
return val;
index = (index + 1) & (sz - 1);
iter++;
} while (iter <= maxprobe && index != orig);
return NULL;
}
/* returns val if key is in hash, otherwise NULL */
static jl_datatype_t *lookup_type_setvalue(jl_svec_t *cache, jl_value_t *key1, jl_value_t **key, size_t n, uint_t hv, int leaf)
{
size_t sz = jl_svec_len(cache);
if (sz == 0)
return NULL;
size_t maxprobe = max_probe(sz);
jl_datatype_t **tab = (jl_datatype_t**)jl_svec_data(cache);
size_t index = h2index(hv, sz);
size_t orig = index;
size_t iter = 0;
do {
jl_datatype_t *val = jl_atomic_load_relaxed(&tab[index]);
if (val == NULL)
return NULL;
if ((jl_value_t*)val != jl_nothing && val->hash == hv && typekeyvalue_eq(val, key1, key, n, leaf))
return val;
index = (index + 1) & (sz - 1);
iter++;
} while (iter <= maxprobe && index != orig);
return NULL;
}
// look up a type in a cache by binary or linear search.
// if found, returns the index of the found item. if not found, returns
// ~n, where n is the index where the type should be inserted.
static ssize_t lookup_type_idx_linear(jl_svec_t *cache, jl_value_t **key, size_t n)
{
if (n == 0)
return -1;
jl_datatype_t **data = (jl_datatype_t**)jl_svec_data(cache);
size_t cl = jl_svec_len(cache);
ssize_t i;
for (i = 0; i < cl; i++) {
jl_datatype_t *tt = jl_atomic_load_relaxed(&data[i]);
if (tt == NULL)
return ~i;
if (typekey_eq(tt, key, n))
return i;
}
return ~cl;
}
static ssize_t lookup_type_idx_linearvalue(jl_svec_t *cache, jl_value_t *key1, jl_value_t **key, size_t n)
{
if (n == 0)
return -1;
jl_datatype_t **data = (jl_datatype_t**)jl_svec_data(cache);
size_t cl = jl_svec_len(cache);
ssize_t i;
for (i = 0; i < cl; i++) {
jl_datatype_t *tt = jl_atomic_load_relaxed(&data[i]);
if (tt == NULL)
return ~i;
if (typekeyvalue_eq(tt, key1, key, n, 1))
return i;
}
return ~cl;
}
static jl_value_t *lookup_type(jl_typename_t *tn, jl_value_t **key, size_t n)
{
JL_TIMING(TYPE_CACHE_LOOKUP);
unsigned hv = typekey_hash(tn, key, n, 0);
if (hv) {
jl_svec_t *cache = jl_atomic_load_relaxed(&tn->cache);
return (jl_value_t*)lookup_type_set(cache, key, n, hv);
}
else {
jl_svec_t *linearcache = jl_atomic_load_relaxed(&tn->linearcache);
ssize_t idx = lookup_type_idx_linear(linearcache, key, n);
return (idx < 0) ? NULL : jl_svecref(linearcache, idx);
}
}
static jl_value_t *lookup_typevalue(jl_typename_t *tn, jl_value_t *key1, jl_value_t **key, size_t n, int leaf)
{
JL_TIMING(TYPE_CACHE_LOOKUP);
unsigned hv = typekeyvalue_hash(tn, key1, key, n, leaf);
if (hv) {
jl_svec_t *cache = jl_atomic_load_relaxed(&tn->cache);
return (jl_value_t*)lookup_type_setvalue(cache, key1, key, n, hv, leaf);
}
else {
assert(leaf);
jl_svec_t *linearcache = jl_atomic_load_relaxed(&tn->linearcache);
ssize_t idx = lookup_type_idx_linearvalue(linearcache, key1, key, n);
return (idx < 0) ? NULL : jl_svecref(linearcache, idx);
}
}
static int cache_insert_type_set_(jl_svec_t *a, jl_datatype_t *val, uint_t hv)
{
jl_datatype_t **tab = (jl_datatype_t**)jl_svec_data(a);
size_t sz = jl_svec_len(a);
if (sz <= 1)
return 0;
size_t orig, index, iter;
iter = 0;
index = h2index(hv, sz);
orig = index;
size_t maxprobe = max_probe(sz);
do {
jl_value_t *tab_i = (jl_value_t*)tab[index];
if (tab_i == NULL || tab_i == jl_nothing) {
jl_atomic_store_release(&tab[index], val);
jl_gc_wb(a, val);
return 1;
}
index = (index + 1) & (sz - 1);
iter++;
} while (iter <= maxprobe && index != orig);
return 0;
}
static jl_svec_t *cache_rehash_set(jl_svec_t *a, size_t newsz);
static void cache_insert_type_set(jl_datatype_t *val, uint_t hv)
{
jl_svec_t *a = val->name->cache;
while (1) {
JL_GC_PROMISE_ROOTED(a);
if (cache_insert_type_set_(a, val, hv))
return;
/* table full */
/* rehash to grow and retry the insert */
/* it's important to grow the table really fast; otherwise we waste */
/* lots of time rehashing all the keys over and over. */
size_t newsz;
size_t sz = jl_svec_len(a);
if (sz < HT_N_INLINE)
newsz = HT_N_INLINE;
else if (sz >= (1 << 19) || (sz <= (1 << 8)))
newsz = sz << 1;
else
newsz = sz << 2;
a = cache_rehash_set(a, newsz);
jl_atomic_store_release(&val->name->cache, a);
jl_gc_wb(val->name, a);
}
}
static jl_svec_t *cache_rehash_set(jl_svec_t *a, size_t newsz)
{
jl_datatype_t **ol = (jl_datatype_t**)jl_svec_data(a);
size_t sz = jl_svec_len(a);
while (1) {
size_t i;
jl_svec_t *newa = jl_alloc_svec(newsz);
JL_GC_PUSH1(&newa);
for (i = 0; i < sz; i += 1) {
jl_datatype_t *val = ol[i];
if (val != NULL && (jl_value_t*)val != jl_nothing) {
uint_t hv = val->hash;
if (!cache_insert_type_set_(newa, val, hv)) {
break;
}
}
}
JL_GC_POP();
if (i == sz)
return newa;
newsz <<= 1;
}
}
static void cache_insert_type_linear(jl_datatype_t *type, ssize_t insert_at)
{
jl_svec_t *cache = type->name->linearcache;
assert(jl_is_svec(cache));
size_t n = jl_svec_len(cache);
if (n == 0 || jl_svecref(cache, n - 1) != NULL) {
jl_svec_t *nc = jl_alloc_svec(n < 8 ? 8 : (n*3)>>1);
memcpy(jl_svec_data(nc), jl_svec_data(cache), sizeof(void*) * n);
jl_atomic_store_release(&type->name->linearcache, nc);
jl_gc_wb(type->name, nc);
cache = nc;
n = jl_svec_len(nc);
}
assert(jl_svecref(cache, insert_at) == NULL);
jl_svecset(cache, insert_at, (jl_value_t*)type); // todo: make this an atomic-store
}
#ifndef NDEBUG
static int is_cacheable(jl_datatype_t *type)
{
// ensure cache only contains types whose behavior will not depend on the
// identities of contained TypeVars
return !jl_has_free_typevars((jl_value_t*)type);
}
#endif
void jl_cache_type_(jl_datatype_t *type)
{
JL_TIMING(TYPE_CACHE_INSERT);
assert(is_cacheable(type));
jl_value_t **key = jl_svec_data(type->parameters);
int n = jl_svec_len(type->parameters);
unsigned hv = typekey_hash(type->name, key, n, 0);
if (hv) {
assert(hv == type->hash);
cache_insert_type_set(type, hv);
}
else {
ssize_t idx = lookup_type_idx_linear(type->name->linearcache, key, n);
assert(idx < 0);
cache_insert_type_linear(type, ~idx);
}
}
jl_datatype_t *jl_lookup_cache_type_(jl_datatype_t *type)
{
assert(is_cacheable(type));
jl_value_t **key = jl_svec_data(type->parameters);
int n = jl_svec_len(type->parameters);
return (jl_datatype_t*)lookup_type(type->name, key, n);
}
JL_DLLEXPORT int jl_type_equality_is_identity(jl_value_t *t1, jl_value_t *t2)
{
if (t1 == t2)
return 1;
if (!jl_is_datatype(t1) || !jl_is_datatype(t2))
return 0;
jl_datatype_t *dt1 = (jl_datatype_t *) t1;
jl_datatype_t *dt2 = (jl_datatype_t *) t2;
return dt1->cached_by_hash == dt2->cached_by_hash;
}
// type instantiation
static int within_typevar(jl_value_t *t, jl_value_t *vlb, jl_value_t *vub)
{
jl_value_t *lb = t, *ub = t;
if (jl_is_typevar(t) || jl_has_free_typevars(t)) {
// TODO: automatically restrict typevars in method definitions based on
// types they are used in.
return 1;
//lb = ((jl_tvar_t*)t)->lb;
//ub = ((jl_tvar_t*)t)->ub;
}
else if (!jl_is_type(t)) {
return vlb == jl_bottom_type && vub == (jl_value_t*)jl_any_type;
}
return ((jl_has_free_typevars(vlb) || jl_subtype(vlb, lb)) &&
(jl_has_free_typevars(vub) || jl_subtype(ub, vub)));
}
struct _jl_typestack_t;
typedef struct _jl_typestack_t jl_typestack_t;
static jl_value_t *inst_datatype_inner(jl_datatype_t *dt, jl_svec_t *p, jl_value_t **iparams, size_t ntp,
int cacheable, jl_typestack_t *stack, jl_typeenv_t *env);
// Build an environment mapping a TypeName's parameters to parameter values.
// This is the environment needed for instantiating a type's supertype and field types.
static jl_value_t *inst_datatype_env(jl_value_t *dt, jl_svec_t *p, jl_value_t **iparams, size_t ntp,
int cacheable, jl_typestack_t *stack, jl_typeenv_t *env, int c)
{
if (jl_is_datatype(dt))
return inst_datatype_inner((jl_datatype_t*)dt, p, iparams, ntp, cacheable, stack, env);
assert(jl_is_unionall(dt));
jl_unionall_t *ua = (jl_unionall_t*)dt;
jl_typeenv_t e = { ua->var, iparams[c], env };
return inst_datatype_env(ua->body, p, iparams, ntp, cacheable, stack, &e, c + 1);
}
jl_value_t *jl_apply_type(jl_value_t *tc, jl_value_t **params, size_t n)
{
if (tc == (jl_value_t*)jl_anytuple_type)
return (jl_value_t*)jl_apply_tuple_type_v(params, n);
if (tc == (jl_value_t*)jl_uniontype_type)
return (jl_value_t*)jl_type_union(params, n);
size_t i;
if (n > 1) {
// detect common case of applying a wrapper, where we know that all parameters will
// end up as direct parameters of a certain datatype, which can be optimized.
jl_value_t *u = jl_unwrap_unionall(tc);
if (jl_is_datatype(u) && n == jl_nparams((jl_datatype_t*)u) &&
((jl_datatype_t*)u)->name->wrapper == tc) {
int cacheable = 1;
for (i = 0; i < n; i++) {
if (jl_has_free_typevars(params[i])) {
cacheable = 0;
break;
}
}
return inst_datatype_env(tc, NULL, params, n, cacheable, NULL, NULL, 0);
}
}
JL_GC_PUSH1(&tc);
jl_value_t *tc0 = tc;
for (i=0; i < n; i++) {
if (!jl_is_unionall(tc0))
jl_error("too many parameters for type");
jl_value_t *pi = params[i];
tc0 = ((jl_unionall_t*)tc0)->body;
// doing a substitution can cause later UnionAlls to be dropped,
// as in `NTuple{0,T} where T` => `Tuple{}`. allow values to be
// substituted for these missing parameters.
// TODO: figure out how to get back a type error for e.g.
// S = Tuple{Vararg{T,N}} where T<:NTuple{N} where N
// S{0,Int}
if (!jl_is_unionall(tc)) continue;
jl_unionall_t *ua = (jl_unionall_t*)tc;
if (!jl_has_free_typevars(ua->var->lb) && !jl_has_free_typevars(ua->var->ub) &&
!within_typevar(pi, ua->var->lb, ua->var->ub)) {
jl_datatype_t *inner = (jl_datatype_t*)jl_unwrap_unionall(tc);
int iswrapper = 0;
if (jl_is_datatype(inner)) {
jl_value_t *temp = inner->name->wrapper;
while (jl_is_unionall(temp)) {
if (temp == tc) {
iswrapper = 1;
break;
}
temp = ((jl_unionall_t*)temp)->body;
}
}
// if this is a wrapper, let check_datatype_parameters give the error
if (!iswrapper)
jl_type_error_rt("Type", jl_symbol_name(ua->var->name), (jl_value_t*)ua->var, pi);
}
tc = jl_instantiate_unionall(ua, pi);
}
JL_GC_POP();
return tc;
}
JL_DLLEXPORT jl_value_t *jl_apply_type1(jl_value_t *tc, jl_value_t *p1)
{
JL_GC_PUSH1(&p1);
jl_value_t *t = jl_apply_type(tc, &p1, 1);
JL_GC_POP();
return t;
}
JL_DLLEXPORT jl_value_t *jl_apply_type2(jl_value_t *tc, jl_value_t *p1, jl_value_t *p2)
{
jl_value_t **args;
JL_GC_PUSHARGS(args, 2);
args[0] = p1; args[1] = p2;
jl_value_t *t = jl_apply_type(tc, args, 2);
JL_GC_POP();
return t;
}
JL_DLLEXPORT jl_value_t *jl_tupletype_fill(size_t n, jl_value_t *v)
{
// TODO: replace with just using NTuple
jl_value_t *p = NULL;
JL_GC_PUSH1(&p);
p = (jl_value_t*)jl_svec_fill(n, v);
p = (jl_value_t*)jl_apply_tuple_type((jl_svec_t*)p);
JL_GC_POP();
return p;
}
JL_EXTENSION struct _jl_typestack_t {
jl_datatype_t *tt;
struct _jl_typestack_t *prev;
};
static jl_value_t *inst_type_w_(jl_value_t *t, jl_typeenv_t *env, jl_typestack_t *stack, int check);
static jl_svec_t *inst_ftypes(jl_svec_t *p, jl_typeenv_t *env, jl_typestack_t *stack);
JL_DLLEXPORT jl_value_t *jl_instantiate_unionall(jl_unionall_t *u, jl_value_t *p)
{
jl_typeenv_t env = { u->var, p, NULL };
return inst_type_w_(u->body, &env, NULL, 1);
}
jl_value_t *jl_substitute_var(jl_value_t *t, jl_tvar_t *var, jl_value_t *val)
{
jl_typeenv_t env = { var, val, NULL };
return inst_type_w_(t, &env, NULL, 1);
}
jl_value_t *jl_unwrap_unionall(jl_value_t *v)
{
while (jl_is_unionall(v))
v = ((jl_unionall_t*)v)->body;
return v;
}
// wrap `t` in the same unionalls that surround `u`
jl_value_t *jl_rewrap_unionall(jl_value_t *t, jl_value_t *u)
{
if (!jl_is_unionall(u))
return t;
JL_GC_PUSH1(&t);
t = jl_rewrap_unionall(t, ((jl_unionall_t*)u)->body);
t = jl_new_struct(jl_unionall_type, ((jl_unionall_t*)u)->var, t);
JL_GC_POP();
return t;
}
static jl_value_t *lookup_type_stack(jl_typestack_t *stack, jl_datatype_t *tt, size_t ntp,
jl_value_t **iparams)
{
// if an identical instantiation is already in process somewhere up the
// stack, return it. this computes a fixed point for recursive types.
jl_typename_t *tn = tt->name;
while (stack != NULL) {
JL_GC_PROMISE_ROOTED(stack->tt);
if (stack->tt->name == tn &&
ntp == jl_svec_len(stack->tt->parameters) &&
typekey_eq(stack->tt, iparams, ntp)) {
return (jl_value_t*)stack->tt;
}
stack = stack->prev;
}
return NULL;
}
// stable numbering for types--starts with name->hash, then falls back to objectid
// sets failed if the hash value isn't stable (if not set on entry)
static unsigned type_hash(jl_value_t *kj, int *failed) JL_NOTSAFEPOINT
{
jl_value_t *uw = jl_is_unionall(kj) ? jl_unwrap_unionall(kj) : kj;
if (jl_is_datatype(uw)) {
jl_datatype_t *dt = (jl_datatype_t*)uw;
unsigned hash = dt->hash;
if (!hash) {
if (!*failed) {
*failed = 1;
return 0;
}
hash = typekey_hash(dt->name, jl_svec_data(dt->parameters), jl_svec_len(dt->parameters), *failed);
}
return hash;
}
else if (jl_is_typevar(uw)) {
if (!*failed) {
*failed = 1;
return 0;
}
// ignore var and lb, since those might get normalized out in equality testing
return type_hash(((jl_tvar_t*)uw)->ub, failed);
}
else if (jl_is_uniontype(uw)) {
if (!*failed) {
*failed = 1;
return 0;
}
unsigned hasha = type_hash(((jl_uniontype_t*)uw)->a, failed);
unsigned hashb = type_hash(((jl_uniontype_t*)uw)->b, failed);
// use a associative mixing function, with well-defined overflow
// since Union is associative
return hasha + hashb;
}
else {
return jl_object_id(uw);
}
}
static unsigned typekey_hash(jl_typename_t *tn, jl_value_t **key, size_t n, int nofail) JL_NOTSAFEPOINT
{
if (tn == jl_type_typename && key[0] == jl_bottom_type)
return jl_typeofbottom_type->hash;
size_t j;
unsigned hash = 3;
int failed = nofail;
for (j = 0; j < n; j++) {
hash = bitmix(type_hash(key[j], &failed), hash);
if (failed && !nofail)
return 0;
}
hash = bitmix(~tn->hash, hash);
return hash ? hash : 1;
}