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jltypes.c
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// This file is a part of Julia. License is MIT: http://julialang.org/license
/*
Types
. type union, type cache, instantiation, and specificity
. builtin type definitions
*/
#include <stdlib.h>
#include <string.h>
#include <assert.h>
#ifdef _OS_WINDOWS_
#include <malloc.h>
#endif
#include "julia.h"
#include "julia_internal.h"
#include "builtin_proto.h"
#ifdef __cplusplus
extern "C" {
#endif
jl_datatype_t *jl_any_type;
jl_unionall_t *jl_type_type;
jl_typename_t *jl_type_typename;
jl_methtable_t *jl_type_type_mt;
jl_datatype_t *jl_typename_type;
jl_datatype_t *jl_sym_type;
jl_datatype_t *jl_symbol_type;
jl_datatype_t *jl_ssavalue_type;
jl_datatype_t *jl_abstractslot_type;
jl_datatype_t *jl_slotnumber_type;
jl_datatype_t *jl_typedslot_type;
jl_datatype_t *jl_simplevector_type;
jl_typename_t *jl_tuple_typename;
jl_datatype_t *jl_anytuple_type;
jl_unionall_t *jl_anytuple_type_type;
jl_typename_t *jl_vecelement_typename;
jl_unionall_t *jl_vararg_type;
jl_typename_t *jl_vararg_typename;
jl_datatype_t *jl_tvar_type;
jl_datatype_t *jl_uniontype_type;
jl_datatype_t *jl_unionall_type;
jl_datatype_t *jl_datatype_type;
jl_datatype_t *jl_function_type;
jl_datatype_t *jl_builtin_type;
jl_datatype_t *jl_bottomtype_type;
jl_value_t *jl_bottom_type;
jl_unionall_t *jl_abstractarray_type;
jl_unionall_t *jl_densearray_type;
jl_datatype_t *jl_bool_type;
jl_datatype_t *jl_char_type;
jl_datatype_t *jl_int8_type;
jl_datatype_t *jl_uint8_type;
jl_datatype_t *jl_int16_type;
jl_datatype_t *jl_uint16_type;
jl_datatype_t *jl_int32_type;
jl_datatype_t *jl_uint32_type;
jl_datatype_t *jl_int64_type;
jl_datatype_t *jl_uint64_type;
jl_datatype_t *jl_float16_type;
jl_datatype_t *jl_float32_type;
jl_datatype_t *jl_float64_type;
jl_datatype_t *jl_floatingpoint_type;
jl_datatype_t *jl_number_type;
jl_unionall_t *jl_complex_type;
jl_datatype_t *jl_signed_type;
JL_DLLEXPORT jl_value_t *jl_emptytuple=NULL;
jl_svec_t *jl_emptysvec;
jl_value_t *jl_nothing;
jl_cgparams_t jl_default_cgparams = {1, 1, 1, 1, 1, 1, 1, {NULL, NULL, NULL}};
// --- type properties and predicates ---
typedef struct _typeenv {
jl_tvar_t *var;
jl_value_t *val;
struct _typeenv *prev;
} jl_typeenv_t;
static int typeenv_has(jl_typeenv_t *env, jl_tvar_t *v)
{
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)
{
if (jl_typeis(v, jl_tvar_type)) {
if (v == jl_ANY_flag) return 0;
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)
{
return has_free_typevars(v, NULL);
}
// test whether a type has vars bound by the given environment
JL_DLLEXPORT int jl_has_bound_typevars(jl_value_t *v, jl_typeenv_t *env)
{
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 && !(env && env->var == (jl_tvar_t*)jl_ANY_flag))
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_typeenv_t env = { v, NULL, NULL };
return jl_has_bound_typevars(t, &env);
}
JL_DLLEXPORT int (jl_is_leaf_type)(jl_value_t *v)
{
if (jl_is_datatype(v)) {
int isleaf = ((jl_datatype_t*)v)->isleaftype;
#ifdef NDEBUG
return isleaf;
#else
if (((jl_datatype_t*)v)->abstract) {
int x = 0;
if (jl_is_type_type(v))
x = !jl_has_free_typevars(jl_tparam0(v));
assert(x == isleaf);
return x;
}
jl_svec_t *t = ((jl_datatype_t*)v)->parameters;
size_t l = jl_svec_len(t);
if (((jl_datatype_t*)v)->name == jl_tuple_typename) {
for(int i=0; i < l; i++) {
if (!jl_is_leaf_type(jl_svecref(t,i))) {
assert(!isleaf);
return 0;
}
}
}
else {
for(int i=0; i < l; i++) {
jl_value_t *p = jl_svecref(t, i);
if (jl_has_free_typevars(p)) {
assert(!isleaf);
return 0;
}
}
}
assert(isleaf);
return 1;
#endif
}
return v == jl_bottom_type;
}
// 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;
}
static void flatten_type_union(jl_value_t **types, size_t n, jl_value_t **out, size_t *idx)
{
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)++;
}
}
}
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_rt("Union", "parameter", (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 ||
(!has_free && !jl_has_free_typevars(temp[j]) &&
jl_subtype(temp[i], temp[j]))) {
temp[i] = NULL;
}
}
}
}
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_tvar_t *jl_new_typevar(jl_sym_t *name, jl_value_t *lb, jl_value_t *ub)
{
jl_ptls_t ptls = jl_get_ptls_states();
jl_tvar_t *tv = (jl_tvar_t*)jl_gc_alloc(ptls, sizeof(jl_tvar_t), jl_tvar_type);
tv->name = name;
tv->lb = lb;
tv->ub = ub;
return tv;
}
JL_DLLEXPORT jl_value_t *jl_type_unionall(jl_tvar_t *v, jl_value_t *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 contains_unions(jl_value_t *type)
{
if (jl_is_uniontype(type) || jl_is_unionall(type)) return 1;
if (!jl_is_datatype(type)) return 0;
int i;
for(i=0; i < jl_nparams(type); i++) {
if (contains_unions(jl_tparam(type,i)))
return 1;
}
return 0;
}
static intptr_t wrapper_id(jl_value_t *t)
{
// DataType wrappers occur often, e.g. when called as constructors.
// make sure any type equal to a wrapper gets a consistent, ordered ID.
if (!jl_is_unionall(t)) return 0;
jl_value_t *u = jl_unwrap_unionall(t);
if (jl_is_datatype(u) && ((jl_datatype_t*)u)->name->wrapper == t)
return ((jl_datatype_t*)u)->name->hash;
return 0;
}
// this function determines whether a type is simple enough to form
// a total order based on UIDs and object_id.
static int is_typekey_ordered(jl_value_t **key, size_t n)
{
size_t i;
for(i=0; i < n; i++) {
jl_value_t *k = key[i];
if (jl_is_typevar(k))
return 0;
if (jl_is_type(k) && k != jl_bottom_type && !wrapper_id(k) &&
!(jl_is_datatype(k) && (((jl_datatype_t*)k)->uid ||
(!jl_has_free_typevars(k) && !contains_unions(k)))))
return 0;
}
return 1;
}
// ordered comparison of types
static int typekey_compare(jl_datatype_t *tt, jl_value_t **key, size_t n)
{
size_t j;
if (tt == NULL) return -1; // place NULLs at end to allow padding for fast growing
size_t tnp = jl_nparams(tt);
if (n < tnp) return -1;
if (n > tnp) return 1;
for(j=0; j < n; j++) {
jl_value_t *kj = key[j], *tj = jl_svecref(tt->parameters,j);
if (tj != kj) {
int dtk = jl_is_datatype(kj);
if (!jl_is_datatype(tj)) {
if (dtk) return 1;
uint32_t tid = wrapper_id(tj), kid = wrapper_id(kj);
if (kid != tid)
return kid < tid ? -1 : 1;
if (tid)
continue;
if (jl_egal(tj, kj))
continue;
return (jl_object_id(kj) < jl_object_id(tj) ? -1 : 1);
}
else if (!dtk) {
return -1;
}
assert(dtk && jl_is_datatype(tj));
jl_datatype_t *dt = (jl_datatype_t*)tj;
jl_datatype_t *dk = (jl_datatype_t*)kj;
if (dk->uid != dt->uid) {
return dk->uid < dt->uid ? -1 : 1;
}
else if (dk->uid != 0) {
assert(0);
}
else if (dk->name->hash != dt->name->hash) {
return dk->name->hash < dt->name->hash ? -1 : 1;
}
else {
int cmp = typekey_compare(dt, jl_svec_data(dk->parameters), jl_nparams(dk));
if (cmp != 0)
return cmp;
}
}
}
return 0;
}
static int dt_compare(const void *ap, const void *bp)
{
jl_datatype_t *a = *(jl_datatype_t**)ap;
jl_datatype_t *b = *(jl_datatype_t**)bp;
if (a == b) return 0;
if (b == NULL) return -1;
if (a == NULL) return 1;
return typekey_compare(b, jl_svec_data(a->parameters), jl_svec_len(a->parameters));
}
void jl_resort_type_cache(jl_svec_t *c)
{
qsort(jl_svec_data(c), jl_svec_len(c), sizeof(jl_value_t*), dt_compare);
}
static int typekey_eq(jl_datatype_t *tt, jl_value_t **key, size_t n)
{
size_t j;
size_t tnp = jl_nparams(tt);
if (n != tnp) return 0;
for(j=0; j < n; j++) {
jl_value_t *kj = key[j], *tj = jl_svecref(tt->parameters,j);
if (tj != kj && !jl_types_equal(tj, kj))
return 0;
}
return 1;
}
// 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(jl_typename_t *tn, jl_value_t **key, size_t n, int ordered)
{
if (n==0) return -1;
if (ordered) {
jl_svec_t *cache = tn->cache;
jl_datatype_t **data = (jl_datatype_t**)jl_svec_data(cache);
size_t cl = jl_svec_len(cache);
ssize_t lo = -1;
ssize_t hi = cl;
while (lo < hi-1) {
ssize_t m = ((size_t)(lo+hi))>>1;
int cmp = typekey_compare(data[m], key, n);
if (cmp > 0)
lo = m;
else
hi = m;
}
/*
When a module is replaced, the new versions of its types are different but
cannot be distinguished by typekey_compare, since the TypeNames can only
be distinguished by addresses, which don't have a reliable order. So we
need to allow sequences of typekey_compare-equal types in the ordered cache.
*/
while (hi < cl && typekey_compare(data[hi], key, n) == 0) {
if (typekey_eq(data[hi], key, n))
return hi;
hi++;
}
return ~hi;
}
else {
jl_svec_t *cache = tn->linearcache;
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 = data[i];
if (tt == NULL) return ~i;
if (typekey_eq(tt, key, n))
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);
int ord = is_typekey_ordered(key, n);
ssize_t idx = lookup_type_idx(tn, key, n, ord);
jl_value_t *t = (idx < 0) ? NULL : jl_svecref(ord ? tn->cache : tn->linearcache, idx);
return t;
}
static volatile int t_uid_ctr = 1;
int jl_get_t_uid_ctr(void) { return t_uid_ctr; }
void jl_set_t_uid_ctr(int i) { t_uid_ctr=i; }
int jl_assign_type_uid(void)
{
assert(t_uid_ctr != 0);
return jl_atomic_fetch_add(&t_uid_ctr, 1);
}
static int is_cacheable(jl_datatype_t *type)
{
// only cache types whose behavior will not depend on the identities
// of contained TypeVars
assert(jl_is_datatype(type));
jl_svec_t *t = type->parameters;
if (jl_svec_len(t) == 0) return 0;
if (jl_has_typevar((jl_value_t*)type, (jl_tvar_t*)jl_ANY_flag))
return 0;
// cache abstract types with no free type vars
if (jl_is_abstracttype(type))
return !jl_has_free_typevars((jl_value_t*)type);
// ... or concrete types
return jl_is_leaf_type((jl_value_t*)type);
}
static void cache_insert_type(jl_value_t *type, ssize_t insert_at, int ordered)
{
assert(jl_is_datatype(type));
// assign uid if it hasn't been done already
if (!jl_is_abstracttype(type) && ((jl_datatype_t*)type)->uid==0)
((jl_datatype_t*)type)->uid = jl_assign_type_uid();
jl_svec_t *cache;
if (ordered)
cache = ((jl_datatype_t*)type)->name->cache;
else
cache = ((jl_datatype_t*)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);
if (ordered)
((jl_datatype_t*)type)->name->cache = nc;
else
((jl_datatype_t*)type)->name->linearcache = nc;
jl_gc_wb(((jl_datatype_t*)type)->name, nc);
cache = nc;
n = jl_svec_len(nc);
}
jl_value_t **p = jl_svec_data(cache);
size_t i = insert_at;
jl_value_t *temp = p[i], *temp2;
jl_svecset(cache, insert_at, (jl_value_t*)type);
assert(i < n-1 || temp == NULL);
while (temp != NULL && i < n-1) {
i++;
temp2 = p[i];
p[i] = temp;
temp = temp2;
}
}
jl_value_t *jl_cache_type_(jl_datatype_t *type)
{
if (is_cacheable(type)) {
JL_TIMING(TYPE_CACHE_INSERT);
int ord = is_typekey_ordered(jl_svec_data(type->parameters), jl_svec_len(type->parameters));
ssize_t idx = lookup_type_idx(type->name, jl_svec_data(type->parameters),
jl_svec_len(type->parameters), ord);
if (idx >= 0)
type = (jl_datatype_t*)jl_svecref(ord ? type->name->cache : type->name->linearcache, idx);
else
cache_insert_type((jl_value_t*)type, ~idx, ord);
}
return (jl_value_t*)type;
}
// type instantiation
static int valid_type_param(jl_value_t *v)
{
if (jl_is_tuple(v)) {
// NOTE: tuples of symbols are not currently bits types, but have been
// allowed as type parameters. this is a bit ugly.
jl_value_t *tt = jl_typeof(v);
size_t i;
size_t l = jl_nparams(tt);
for(i=0; i < l; i++) {
jl_value_t *pi = jl_tparam(tt,i);
if (!(pi == (jl_value_t*)jl_sym_type || jl_isbits(pi)))
return 0;
}
return 1;
}
// TODO: maybe more things
return jl_is_type(v) || jl_is_typevar(v) || jl_is_symbol(v) || jl_isbits(jl_typeof(v));
}
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_subtype(vlb, lb) && jl_subtype(ub, vub);
}
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);
JL_GC_PUSH1(&tc);
size_t i;
for (i=0; i < n; i++) {
if (!jl_is_unionall(tc))
jl_error("too many parameters for type");
jl_value_t *pi = params[i];
if (!valid_type_param(pi)) {
jl_type_error_rt("Type", "parameter",
jl_isa(pi, (jl_value_t*)jl_number_type) ?
(jl_value_t*)jl_long_type : (jl_value_t*)jl_type_type,
pi);
}
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;
}
typedef struct _jl_typestack_t {
union {
jl_value_t *ua;
jl_datatype_t *tt;
};
jl_value_t *ua_new;
struct _jl_typestack_t *prev;
} jl_typestack_t;
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_all(jl_svec_t *p, jl_typeenv_t *env, jl_typestack_t *stack, int check);
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) {
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;
}
static size_t jl_type_depth(jl_value_t *dt)
{
if (jl_is_uniontype(dt)) {
size_t ad = jl_type_depth(((jl_uniontype_t*)dt)->a);
size_t bd = jl_type_depth(((jl_uniontype_t*)dt)->b);
return ad > bd ? ad : bd;
}
else if (jl_is_unionall(dt)) {
jl_unionall_t *ua = (jl_unionall_t*)dt;
size_t bd = jl_type_depth(ua->body);
if (ua->var->ub == (jl_value_t*)jl_any_type)
return bd;
size_t vd = jl_type_depth(ua->var->ub);
return vd+1 > bd ? vd+1 : bd;
}
else if (jl_is_datatype(dt)) {
return ((jl_datatype_t*)dt)->depth;
}
return 0;
}
void jl_precompute_memoized_dt(jl_datatype_t *dt)
{
int istuple = dt->name == jl_tuple_typename;
size_t i, l = jl_nparams(dt);
dt->isleaftype = !dt->abstract || (jl_type_type != NULL && dt->name == jl_type_typename);
for (i = 0; i < l; i++) {
jl_value_t *p = jl_tparam(dt, i);
size_t d = jl_type_depth(p) + 1;
if (d > dt->depth)
dt->depth = d;
if (!dt->hasfreetypevars)
dt->hasfreetypevars = jl_has_free_typevars(p);
if (dt->isleaftype)
dt->isleaftype = (istuple ? jl_is_leaf_type(p) : !dt->hasfreetypevars);
}
}
static void check_datatype_parameters(jl_typename_t *tn, jl_value_t **params, size_t np)
{
jl_value_t *wrapper = tn->wrapper;
jl_value_t **bounds;
JL_GC_PUSHARGS(bounds, np*2);
int i = 0;
while (jl_is_unionall(wrapper)) {
jl_tvar_t *tv = ((jl_unionall_t*)wrapper)->var;
bounds[i++] = tv->lb;
bounds[i++] = tv->ub;
wrapper = ((jl_unionall_t*)wrapper)->body;
}
assert(i == np*2);
wrapper = tn->wrapper;
for(i=0; i < np; i++) {
assert(jl_is_unionall(wrapper));
jl_tvar_t *tv = ((jl_unionall_t*)wrapper)->var;
if (!within_typevar(params[i], bounds[2*i], bounds[2*i+1])) {
// TODO: pass a new version of `tv` containing the instantiated bounds
jl_type_error_rt(jl_symbol_name(tn->name), jl_symbol_name(tv->name), (jl_value_t*)tv, params[i]);
}
int j;
for(j=2*i+2; j < 2*np; j++) {
jl_value_t*bj = bounds[j];
if (bj != (jl_value_t*)jl_any_type && bj != jl_bottom_type)
bounds[j] = jl_substitute_var(bj, tv, params[i]);
}
wrapper = ((jl_unionall_t*)wrapper)->body;
}
JL_GC_POP();
}
static arraylist_t partial_inst;
int inside_typedef = 0;
static jl_value_t *extract_wrapper(jl_value_t *t)
{
t = jl_unwrap_unionall(t);
if (jl_is_datatype(t))
return ((jl_datatype_t*)t)->name->wrapper;
if (jl_is_uniontype(t)) {
jl_value_t *n1 = extract_wrapper(((jl_uniontype_t*)t)->a);
if (n1 != NULL) return n1;
return extract_wrapper(((jl_uniontype_t*)t)->b);
}
if (jl_is_typevar(t))
return extract_wrapper(((jl_tvar_t*)t)->ub);
return NULL;
}
// convert `Vararg{X, Y} where T` to `Vararg{X where T, Y}` where T doesn't occur free in Y
static jl_value_t *normalize_vararg(jl_value_t *va)
{
assert(jl_is_vararg_type(va));
if (!jl_is_unionall(va)) return va;
jl_value_t *body=NULL;
JL_GC_PUSH2(&va, &body);
jl_unionall_t *ua = (jl_unionall_t*)va;
body = normalize_vararg(ua->body);
jl_value_t *unw = jl_unwrap_unionall(body);
jl_value_t *va0 = jl_tparam0(unw), *va1 = jl_tparam1(unw);
if (jl_has_typevar(va1, ua->var)) {
if (body != ua->body)
va = jl_type_unionall(ua->var, body);
}
else {
va = jl_type_unionall(ua->var, va0);
va = jl_wrap_vararg(va, va1);
va = jl_rewrap_unionall(va, body);
}
JL_GC_POP();
return va;
}
static jl_value_t *inst_datatype(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)
{
jl_ptls_t ptls = jl_get_ptls_states();
jl_typestack_t top;
jl_typename_t *tn = dt->name;
int istuple = (tn == jl_tuple_typename);
// check type cache
if (cacheable) {
JL_LOCK(&typecache_lock); // Might GC
size_t i;
for(i=0; i < ntp; i++) {
jl_value_t *pi = iparams[i];
if (!jl_is_leaf_type(pi) || ((jl_datatype_t*)pi)->abstract) {
// normalize types equal to wrappers
jl_value_t *tw = extract_wrapper(pi);
if (tw && tw != pi && jl_types_equal(pi, tw)) {
iparams[i] = tw;
if (p) jl_gc_wb(p, tw);
}
}
}
jl_value_t *lkup = (jl_value_t*)lookup_type(tn, iparams, ntp);
if (lkup != NULL) {
JL_UNLOCK(&typecache_lock); // Might GC
return lkup;
}
}
jl_value_t *stack_lkup = lookup_type_stack(stack, dt, ntp, iparams);
if (stack_lkup) {
if (cacheable) JL_UNLOCK(&typecache_lock); // Might GC
return stack_lkup;
}
if (!istuple) {
if (jl_is_vararg_type((jl_value_t*)dt) && ntp == 2) {
if (!jl_is_long(iparams[1]) && !jl_is_typevar(iparams[1])) {
jl_type_error_rt("apply_type", "Vararg count", (jl_value_t*)jl_long_type, iparams[1]);
}
}
// check parameters against bounds in type definition
check_datatype_parameters(tn, iparams, ntp);
}
else if (ntp == 0 && jl_emptytuple != NULL) {
// empty tuple type case
if (cacheable) JL_UNLOCK(&typecache_lock); // Might GC
return jl_typeof(jl_emptytuple);
}
jl_datatype_t *ndt = NULL;
JL_GC_PUSH2(&p, &ndt);
jl_value_t *last = iparams[ntp - 1];
if (istuple && ntp > 0 && jl_is_vararg_type(last)) {
// normalize Tuple{..., Vararg{Int, 3}} to Tuple{..., Int, Int, Int}
jl_value_t *va = jl_unwrap_unionall(last);
jl_value_t *va0 = jl_tparam0(va), *va1 = jl_tparam1(va);
// return same `Tuple` object for types equal to it
if (ntp == 1 &&
(last == (jl_value_t*)jl_vararg_type || // Tuple{Vararg} == Tuple
(va0 == (jl_value_t*)jl_any_type &&
jl_is_unionall(last) && va1 == (jl_value_t*)((jl_unionall_t*)last)->var))) {
if (cacheable) JL_UNLOCK(&typecache_lock); // Might GC
JL_GC_POP();
return (jl_value_t*)jl_anytuple_type;
}
{
JL_GC_PUSH1(&last);
jl_value_t *last2 = normalize_vararg(last);
if (last2 != last) {
last = last2;
p = jl_alloc_svec(ntp);
for (size_t i = 0; i < ntp-1; i++)
jl_svecset(p, i, iparams[i]);
jl_svecset(p, ntp-1, last);
}
JL_GC_POP();
}
if (jl_is_long(va1)) {
ssize_t nt = jl_unbox_long(va1);
if (nt < 0)
jl_errorf("apply_type: Vararg length N is negative: %zd", nt);
if (nt == 0 || !jl_has_free_typevars(va0)) {
if (cacheable) JL_UNLOCK(&typecache_lock); // Might GC
if (ntp == 1) {
JL_GC_POP();
return jl_tupletype_fill(nt, va0);
}
size_t i, l;
p = jl_alloc_svec(ntp - 1 + nt);
for (i = 0, l = ntp - 1; i < l; i++)
jl_svecset(p, i, iparams[i]);
l = ntp - 1 + nt;
for (; i < l; i++)
jl_svecset(p, i, va0);
jl_value_t *ndt = (jl_value_t*)jl_apply_tuple_type(p);
JL_GC_POP();
return ndt;
}
}
}
// move array of instantiated parameters to heap; we need to keep it
if (p == NULL) {
p = jl_alloc_svec_uninit(ntp);
for(size_t i=0; i < ntp; i++)
jl_svecset(p, i, iparams[i]);
}
// create and initialize new type
ndt = jl_new_uninitialized_datatype();
// associate these parameters with the new type on
// the stack, in case one of its field types references it.
top.tt = (jl_datatype_t*)ndt;
top.prev = stack;
stack = ⊤
ndt->name = tn;
jl_gc_wb(ndt, ndt->name);
ndt->super = NULL;
ndt->parameters = p;
jl_gc_wb(ndt, ndt->parameters);
ndt->types = istuple ? p : NULL; // to be filled in below
ndt->mutabl = dt->mutabl;
ndt->abstract = dt->abstract;
ndt->instance = NULL;
ndt->uid = 0;
ndt->struct_decl = NULL;
ndt->ditype = NULL;
ndt->size = 0;
jl_precompute_memoized_dt(ndt);