/* 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 { 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 */ return h1.get_height() > h2.get_height() ? -1 : 1; } 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)) { } axiom_val::axiom_val(name const & n, names const & lparams, expr const & type, bool is_meta): object_ref(mk_cnstr(0, constant_val(n, lparams, type), 1)) { cnstr_set_scalar(raw(), sizeof(object*), static_cast(is_meta)); } bool axiom_val::is_meta() const { return cnstr_get_scalar(raw(), sizeof(object*)) != 0; } definition_val::definition_val(name const & n, names const & lparams, expr const & type, expr const & val, reducibility_hints const & hints, bool is_meta): object_ref(mk_cnstr(0, constant_val(n, lparams, type), val, hints, 1)) { cnstr_set_scalar(raw(), sizeof(object*)*3, static_cast(is_meta)); } bool definition_val::is_meta() const { return cnstr_get_scalar(raw(), sizeof(object*)*3) != 0; } 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)) { } quot_val::quot_val(name const & n, names const & lparams, expr const & type, quot_kind k): object_ref(mk_cnstr(0, constant_val(n, lparams, type), 1)) { cnstr_set_scalar(raw(), sizeof(object*), static_cast(k)); } quot_kind quot_val::get_quot_kind() const { return static_cast(cnstr_get_scalar(raw(), sizeof(object*))); } recursor_rule::recursor_rule(name const & cnstr, unsigned nfields, expr const & rhs): object_ref(mk_cnstr(0, cnstr, nat(nfields), rhs)) { } 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 meta, bool is_refl): object_ref(mk_cnstr(0, constant_val(n, lparams, type), nat(nparams), nat(nindices), all, cnstrs, 3)) { cnstr_set_scalar(raw(), sizeof(object*)*5, static_cast(rec)); cnstr_set_scalar(raw(), sizeof(object*)*5 + 1, static_cast(meta)); cnstr_set_scalar(raw(), sizeof(object*)*5 + 2, static_cast(is_refl)); lean_assert(is_meta() == meta); lean_assert(is_rec() == rec); lean_assert(is_reflexive() == is_refl); } constructor_val::constructor_val(name const & n, names const & lparams, expr const & type, name const & induct, unsigned nparams, bool is_meta): object_ref(mk_cnstr(0, constant_val(n, lparams, type), induct, nat(nparams), 1)) { cnstr_set_scalar(raw(), sizeof(object*)*3, static_cast(is_meta)); } 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_meta): object_ref(mk_cnstr(0, constant_val(n, lparams, type), all, nat(nparams), nat(nindices), nat(nmotives), nat(nminors), rules, 2)) { cnstr_set_scalar(raw(), sizeof(object*)*7, static_cast(k)); cnstr_set_scalar(raw(), sizeof(object*)*7 + 1, static_cast(is_meta)); } bool declaration::is_meta() const { switch (kind()) { case declaration_kind::Definition: return to_definition_val().is_meta(); case declaration_kind::Axiom: return to_axiom_val().is_meta(); case declaration_kind::Theorem: return false; case declaration_kind::Inductive: return inductive_decl(*this).is_meta(); case declaration_kind::Quot: return false; case declaration_kind::MutualDefinition: return true; } lean_unreachable(); } bool use_meta(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_meta()) { 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, bool meta) { unsigned h = get_max_height(env, v); return definition_val(n, params, t, v, reducibility_hints::mk_regular(h+1), meta); } declaration mk_definition(name const & n, names const & params, expr const & t, expr const & v, reducibility_hints const & h, bool meta) { return declaration(mk_cnstr(static_cast(declaration_kind::Definition), definition_val(n, params, t, v, h, meta))); } declaration mk_definition(environment const & env, name const & n, names const & params, expr const & t, expr const & v, bool meta) { return declaration(mk_cnstr(static_cast(declaration_kind::Definition), mk_definition_val(env, n, params, t, v, meta))); } declaration mk_theorem(name const & n, names const & params, expr const & t, expr const & v) { return declaration(mk_cnstr(static_cast(declaration_kind::Theorem), theorem_val(n, params, t, v))); } declaration mk_axiom(name const & n, names const & params, expr const & t, bool meta) { return declaration(mk_cnstr(static_cast(declaration_kind::Axiom), axiom_val(n, params, t, meta))); } declaration mk_definition_inferring_meta(environment const & env, name const & n, names const & params, expr const & t, expr const & v, reducibility_hints const & hints) { bool meta = use_meta(env, t) || use_meta(env, v); return mk_definition(n, params, t, v, hints, meta); } declaration mk_definition_inferring_meta(environment const & env, name const & n, names const & params, expr const & t, expr const & v) { bool meta = use_meta(env, t) && use_meta(env, v); unsigned h = get_max_height(env, v); return mk_definition(n, params, t, v, reducibility_hints::mk_regular(h+1), meta); } declaration mk_axiom_inferring_meta(environment const & env, name const & n, names const & params, expr const & t) { return mk_axiom(n, params, t, use_meta(env, t)); } declaration mk_mutual_definitions(definition_vals const & ds) { if (length(ds) == 1) return declaration(mk_cnstr(static_cast(declaration_kind::Definition), head(ds))); else return declaration(mk_cnstr(static_cast(declaration_kind::MutualDefinition), ds)); } declaration mk_quot_decl() { return declaration(box(static_cast(declaration_kind::Quot))); } inductive_type::inductive_type(name const & id, expr const & type, constructors const & cnstrs): object_ref(mk_cnstr(0, id, type, cnstrs)) { } static unsigned inductive_decl_scalar_offset() { return sizeof(object*)*3; } declaration mk_inductive_decl(names const & lparams, nat const & nparams, inductive_types const & types, bool is_meta) { declaration r(mk_cnstr(static_cast(declaration_kind::Inductive), lparams, nparams, types, 1)); cnstr_set_scalar(r.raw(), inductive_decl_scalar_offset(), static_cast(is_meta)); return r; } bool inductive_decl::is_meta() const { return cnstr_get_scalar(raw(), inductive_decl_scalar_offset()) != 0; } // ======================================= // 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()); 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_meta() const { switch (kind()) { case constant_info_kind::Axiom: return to_axiom_val().is_meta(); case constant_info_kind::Definition: return to_definition_val().is_meta(); case constant_info_kind::Theorem: return false; case constant_info_kind::Quot: return false; case constant_info_kind::Inductive: return to_inductive_val().is_meta(); case constant_info_kind::Constructor: return to_constructor_val().is_meta(); case constant_info_kind::Recursor: return to_recursor_val().is_meta(); } lean_unreachable(); } void initialize_declaration() { g_opaque = new reducibility_hints(reducibility_hints::mk_opaque()); g_dummy = new declaration(mk_axiom(name(), names(), expr())); } void finalize_declaration() { delete g_dummy; delete g_opaque; } }