/* Copyright (c) 2014 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Leonardo de Moura */ #include "kernel/declaration.h" #include "kernel/environment.h" #include "kernel/for_each_fn.h" namespace lean { extern "C" object * lean_mk_reducibility_hints_regular(uint32 h); extern "C" uint32 lean_reducibility_hints_get_height(object * o); reducibility_hints reducibility_hints::mk_regular(unsigned h) { return reducibility_hints(lean_mk_reducibility_hints_regular(h)); } unsigned reducibility_hints::get_height() const { return lean_reducibility_hints_get_height(to_obj_arg()); } int compare(reducibility_hints const & h1, reducibility_hints const & h2) { if (h1.kind() == h2.kind()) { if (h1.kind() == reducibility_hints_kind::Regular) { if (h1.get_height() == h2.get_height()) return 0; /* unfold both */ else if (h1.get_height() > h2.get_height()) return -1; /* unfold f1 */ else return 1; /* unfold f2 */ } else { return 0; /* reduce both */ } } else { if (h1.kind() == reducibility_hints_kind::Opaque) { return 1; /* reduce f2 */ } else if (h2.kind() == reducibility_hints_kind::Opaque) { return -1; /* reduce f1 */ } else if (h1.kind() == reducibility_hints_kind::Abbreviation) { return -1; /* reduce f1 */ } else if (h2.kind() == reducibility_hints_kind::Abbreviation) { return 1; /* reduce f2 */ } else { lean_unreachable(); } } } constant_val::constant_val(name const & n, names const & lparams, expr const & type): object_ref(mk_cnstr(0, n, lparams, type)) { } extern "C" object * lean_mk_axiom_val(object * n, object * lparams, object * type, uint8 is_unsafe); extern "C" uint8 lean_axiom_val_is_unsafe(object * v); axiom_val::axiom_val(name const & n, names const & lparams, expr const & type, bool is_unsafe): object_ref(lean_mk_axiom_val(n.to_obj_arg(), lparams.to_obj_arg(), type.to_obj_arg(), is_unsafe)) { } bool axiom_val::is_unsafe() const { return lean_axiom_val_is_unsafe(to_obj_arg()); } extern "C" object * lean_mk_definition_val(object * n, object * lparams, object * type, object * value, object * hints, uint8 safety, object * all); extern "C" uint8 lean_definition_val_get_safety(object * v); definition_val::definition_val(name const & n, names const & lparams, expr const & type, expr const & val, reducibility_hints const & hints, definition_safety safety, names const & all): object_ref(lean_mk_definition_val(n.to_obj_arg(), lparams.to_obj_arg(), type.to_obj_arg(), val.to_obj_arg(), hints.to_obj_arg(), static_cast(safety), all.to_obj_arg())) { } definition_safety definition_val::get_safety() const { return static_cast(lean_definition_val_get_safety(to_obj_arg())); } theorem_val::theorem_val(name const & n, names const & lparams, expr const & type, expr const & val): object_ref(mk_cnstr(0, constant_val(n, lparams, type), val)) { } extern "C" object * lean_mk_opaque_val(object * n, object * lparams, object * type, object * value, uint8 is_unsafe, object * all); extern "C" uint8 lean_opaque_val_is_unsafe(object * v); opaque_val::opaque_val(name const & n, names const & lparams, expr const & type, expr const & val, bool is_unsafe, names const & all): object_ref(lean_mk_opaque_val(n.to_obj_arg(), lparams.to_obj_arg(), type.to_obj_arg(), val.to_obj_arg(), is_unsafe, all.to_obj_arg())) { } bool opaque_val::is_unsafe() const { return lean_opaque_val_is_unsafe(to_obj_arg()); } extern "C" object * lean_mk_quot_val(object * n, object * lparams, object * type, uint8 k); extern "C" uint8 lean_quot_val_kind(object * v); quot_val::quot_val(name const & n, names const & lparams, expr const & type, quot_kind k): object_ref(lean_mk_quot_val(n.to_obj_arg(), lparams.to_obj_arg(), type.to_obj_arg(), static_cast(k))) { } quot_kind quot_val::get_quot_kind() const { return static_cast(lean_quot_val_kind(to_obj_arg())); } recursor_rule::recursor_rule(name const & cnstr, unsigned nfields, expr const & rhs): object_ref(mk_cnstr(0, cnstr, nat(nfields), rhs)) { } extern "C" object * lean_mk_inductive_val(object * n, object * lparams, object * type, object * nparams, object * nindices, object * all, object * cnstrs, uint8 rec, uint8 unsafe, uint8 is_refl, uint8 is_nested); extern "C" uint8 lean_inductive_val_is_rec(object * v); extern "C" uint8 lean_inductive_val_is_unsafe(object * v); extern "C" uint8 lean_inductive_val_is_reflexive(object * v); extern "C" uint8 lean_inductive_val_is_nested(object * v); inductive_val::inductive_val(name const & n, names const & lparams, expr const & type, unsigned nparams, unsigned nindices, names const & all, names const & cnstrs, bool rec, bool unsafe, bool is_refl, bool is_nested): object_ref(lean_mk_inductive_val(n.to_obj_arg(), lparams.to_obj_arg(), type.to_obj_arg(), nat(nparams).to_obj_arg(), nat(nindices).to_obj_arg(), all.to_obj_arg(), cnstrs.to_obj_arg(), rec, unsafe, is_refl, is_nested)) { } bool inductive_val::is_rec() const { return lean_inductive_val_is_rec(to_obj_arg()); } bool inductive_val::is_unsafe() const { return lean_inductive_val_is_unsafe(to_obj_arg()); } bool inductive_val::is_reflexive() const { return lean_inductive_val_is_reflexive(to_obj_arg()); } bool inductive_val::is_nested() const { return lean_inductive_val_is_nested(to_obj_arg()); } extern "C" object * lean_mk_constructor_val(object * n, object * lparams, object * type, object * induct, object * cidx, object * nparams, object * nfields, uint8 unsafe); extern "C" uint8 lean_constructor_val_is_unsafe(object * v); constructor_val::constructor_val(name const & n, names const & lparams, expr const & type, name const & induct, unsigned cidx, unsigned nparams, unsigned nfields, bool is_unsafe): object_ref(lean_mk_constructor_val(n.to_obj_arg(), lparams.to_obj_arg(), type.to_obj_arg(), induct.to_obj_arg(), nat(cidx).to_obj_arg(), nat(nparams).to_obj_arg(), nat(nfields).to_obj_arg(), is_unsafe)) { } bool constructor_val::is_unsafe() const { return lean_constructor_val_is_unsafe(to_obj_arg()); } extern "C" object * lean_mk_recursor_val(object * n, object * lparams, object * type, object * all, object * nparams, object * nindices, object * nmotives, object * nminors, object * rules, uint8 k, uint8 unsafe); extern "C" uint8 lean_recursor_k(object * v); extern "C" uint8 lean_recursor_is_unsafe(object * v); recursor_val::recursor_val(name const & n, names const & lparams, expr const & type, names const & all, unsigned nparams, unsigned nindices, unsigned nmotives, unsigned nminors, recursor_rules const & rules, bool k, bool is_unsafe): object_ref(lean_mk_recursor_val(n.to_obj_arg(), lparams.to_obj_arg(), type.to_obj_arg(), all.to_obj_arg(), nat(nparams).to_obj_arg(), nat(nindices).to_obj_arg(), nat(nmotives).to_obj_arg(), nat(nminors).to_obj_arg(), rules.to_obj_arg(), k, is_unsafe)) { } bool recursor_val::is_k() const { return lean_recursor_k(to_obj_arg()); } bool recursor_val::is_unsafe() const { return lean_recursor_is_unsafe(to_obj_arg()); } bool declaration::is_unsafe() const { switch (kind()) { case declaration_kind::Definition: return to_definition_val().get_safety() == definition_safety::unsafe; case declaration_kind::Axiom: return to_axiom_val().is_unsafe(); case declaration_kind::Theorem: return false; case declaration_kind::Opaque: return to_opaque_val().is_unsafe(); case declaration_kind::Inductive: return inductive_decl(*this).is_unsafe(); case declaration_kind::Quot: return false; case declaration_kind::MutualDefinition: return true; } lean_unreachable(); } bool use_unsafe(environment const & env, expr const & e) { bool found = false; for_each(e, [&](expr const & e, unsigned) { if (found) return false; if (is_constant(e)) { if (auto info = env.find(const_name(e))) { if (info->is_unsafe()) { found = true; return false; } } } return true; }); return found; } static declaration * g_dummy = nullptr; declaration::declaration():declaration(*g_dummy) {} static unsigned get_max_height(environment const & env, expr const & v) { unsigned h = 0; for_each(v, [&](expr const & e, unsigned) { if (is_constant(e)) { auto d = env.find(const_name(e)); if (d && d->get_hints().get_height() > h) h = d->get_hints().get_height(); } return true; }); return h; } definition_val mk_definition_val(environment const & env, name const & n, names const & params, expr const & t, expr const & v, definition_safety s) { unsigned h = get_max_height(env, v); return definition_val(n, params, t, v, reducibility_hints::mk_regular(h+1), s, names(n)); } declaration mk_definition(name const & n, names const & params, expr const & t, expr const & v, reducibility_hints const & h, definition_safety safety) { return declaration(mk_cnstr(static_cast(declaration_kind::Definition), definition_val(n, params, t, v, h, safety, names(n)))); } declaration mk_definition(environment const & env, name const & n, names const & params, expr const & t, expr const & v, definition_safety safety) { return declaration(mk_cnstr(static_cast(declaration_kind::Definition), mk_definition_val(env, n, params, t, v, safety))); } declaration mk_opaque(name const & n, names const & params, expr const & t, expr const & v, bool is_unsafe) { return declaration(mk_cnstr(static_cast(declaration_kind::Opaque), opaque_val(n, params, t, v, is_unsafe, names(n)))); } declaration mk_axiom(name const & n, names const & params, expr const & t, bool unsafe) { return declaration(mk_cnstr(static_cast(declaration_kind::Axiom), axiom_val(n, params, t, unsafe))); } static definition_safety to_safety(bool unsafe) { return unsafe ? definition_safety::unsafe : definition_safety::safe; } declaration mk_definition_inferring_unsafe(environment const & env, name const & n, names const & params, expr const & t, expr const & v, reducibility_hints const & hints) { bool unsafe = use_unsafe(env, t) || use_unsafe(env, v); return mk_definition(n, params, t, v, hints, to_safety(unsafe)); } declaration mk_definition_inferring_unsafe(environment const & env, name const & n, names const & params, expr const & t, expr const & v) { bool unsafe = use_unsafe(env, t) && use_unsafe(env, v); unsigned h = get_max_height(env, v); return mk_definition(n, params, t, v, reducibility_hints::mk_regular(h+1), to_safety(unsafe)); } inductive_type::inductive_type(name const & id, expr const & type, constructors const & cnstrs): object_ref(mk_cnstr(0, id, type, cnstrs)) { } extern "C" object * lean_mk_inductive_decl(object * lparams, object * nparams, object * types, uint8 unsafe); extern "C" uint8 lean_is_unsafe_inductive_decl(object * d); declaration mk_inductive_decl(names const & lparams, nat const & nparams, inductive_types const & types, bool is_unsafe) { return declaration(lean_mk_inductive_decl(lparams.to_obj_arg(), nparams.to_obj_arg(), types.to_obj_arg(), is_unsafe)); } bool inductive_decl::is_unsafe() const { return lean_is_unsafe_inductive_decl(to_obj_arg()); } // ======================================= // Constant info constant_info::constant_info():constant_info(*g_dummy) {} constant_info::constant_info(declaration const & d):object_ref(d.raw()) { lean_assert(d.is_definition() || d.is_theorem() || d.is_axiom() || d.is_opaque()); inc_ref(d.raw()); } constant_info::constant_info(definition_val const & v): object_ref(mk_cnstr(static_cast(constant_info_kind::Definition), v)) { } constant_info::constant_info(quot_val const & v): object_ref(mk_cnstr(static_cast(constant_info_kind::Quot), v)) { } constant_info::constant_info(inductive_val const & v): object_ref(mk_cnstr(static_cast(constant_info_kind::Inductive), v)) { } constant_info::constant_info(constructor_val const & v): object_ref(mk_cnstr(static_cast(constant_info_kind::Constructor), v)) { } constant_info::constant_info(recursor_val const & v): object_ref(mk_cnstr(static_cast(constant_info_kind::Recursor), v)) { } static reducibility_hints * g_opaque = nullptr; reducibility_hints const & constant_info::get_hints() const { if (is_definition()) return static_cast(cnstr_get_ref(to_val(), 2)); else return *g_opaque; } bool constant_info::is_unsafe() const { switch (kind()) { case constant_info_kind::Axiom: return to_axiom_val().is_unsafe(); case constant_info_kind::Definition: return to_definition_val().get_safety() == definition_safety::unsafe; case constant_info_kind::Theorem: return false; case constant_info_kind::Opaque: return to_opaque_val().is_unsafe(); case constant_info_kind::Quot: return false; case constant_info_kind::Inductive: return to_inductive_val().is_unsafe(); case constant_info_kind::Constructor: return to_constructor_val().is_unsafe(); case constant_info_kind::Recursor: return to_recursor_val().is_unsafe(); } lean_unreachable(); } void initialize_declaration() { g_opaque = new reducibility_hints(reducibility_hints::mk_opaque()); mark_persistent(g_opaque->raw()); g_dummy = new declaration(mk_axiom(name(), names(), expr())); mark_persistent(g_dummy->raw()); } void finalize_declaration() { delete g_dummy; delete g_opaque; } }