100 lines
3.5 KiB
C++
100 lines
3.5 KiB
C++
/*
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Copyright (c) 2013 Microsoft Corporation. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Author: Leonardo de Moura
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*/
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#include <utility>
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#include "kernel/kernel.h"
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#include "library/fo_unify.h"
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#include "library/expr_pair.h"
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#include "library/kernel_bindings.h"
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#include "library/equality.h"
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namespace lean {
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static void assign(substitution & s, expr const & mvar, expr const & e) {
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lean_assert(is_metavar(mvar));
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s.insert(metavar_name(mvar), e);
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}
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static bool is_metavar_wo_local_context(expr const & e) {
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return is_metavar(e) && !metavar_lctx(e);
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}
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optional<substitution> fo_unify(expr e1, expr e2) {
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substitution s;
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unsigned i1, i2;
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buffer<expr_pair> todo;
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todo.emplace_back(e1, e2);
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while (!todo.empty()) {
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auto p = todo.back();
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todo.pop_back();
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e1 = find(s, p.first);
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e2 = find(s, p.second);
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if (e1 != e2) {
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if (is_metavar_wo_local_context(e1)) {
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assign(s, e1, e2);
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} else if (is_metavar_wo_local_context(e2)) {
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assign(s, e2, e1);
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} else if (is_equality(e1) && is_equality(e2)) {
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expr_pair p1 = get_equality_args(e1);
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expr_pair p2 = get_equality_args(e2);
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todo.emplace_back(p1.second, p2.second);
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todo.emplace_back(p1.first, p2.first);
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} else {
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if (e1.kind() != e2.kind())
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return optional<substitution>();
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switch (e1.kind()) {
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case expr_kind::Var: case expr_kind::Constant: case expr_kind::Type: case expr_kind::Value: case expr_kind::MetaVar:
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return optional<substitution>();
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case expr_kind::App:
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i1 = num_args(e1);
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i2 = num_args(e2);
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while (i1 > 0 && i2 > 0) {
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--i1;
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--i2;
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if (i1 == 0 && i2 > 0) {
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todo.emplace_back(arg(e1, i1), mk_app(i2+1, begin_args(e2)));
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} else if (i2 == 0 && i1 > 0) {
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todo.emplace_back(mk_app(i1+1, begin_args(e1)), arg(e2, i2));
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} else {
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todo.emplace_back(arg(e1, i1), arg(e2, i2));
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}
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}
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break;
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case expr_kind::Lambda: case expr_kind::Pi:
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todo.emplace_back(abst_body(e1), abst_body(e2));
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todo.emplace_back(abst_domain(e1), abst_domain(e2));
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break;
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case expr_kind::Let:
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todo.emplace_back(let_body(e1), let_body(e2));
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todo.emplace_back(let_value(e1), let_value(e2));
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if (static_cast<bool>(let_type(e1)) != static_cast<bool>(let_type(e2)))
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return optional<substitution>();
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if (let_type(e1)) {
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lean_assert(let_type(e2));
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todo.emplace_back(*let_type(e1), *let_type(e2));
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}
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break;
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}
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}
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}
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}
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return optional<substitution>(s);
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}
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static int fo_unify(lua_State * L) {
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optional<substitution> r = fo_unify(to_expr(L, 1), to_expr(L, 2));
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if (!r) {
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lua_pushnil(L);
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return 1;
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} else {
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return push_substitution(L, *r);
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}
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}
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void open_fo_unify(lua_State * L) {
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SET_GLOBAL_FUN(fo_unify, "fo_unify");
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}
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}
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