lean4-htt/src/library/tactic/dsimplify_tactic.cpp
2016-10-11 16:37:50 -07:00

228 lines
7.1 KiB
C++

/*
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
*/
#include "util/interrupt.h"
#include "kernel/instantiate.h"
#include "library/trace.h"
#include "library/simp_lemmas.h"
#include "library/type_context.h"
#include "library/defeq_canonizer.h"
#include "library/fun_info.h"
namespace lean {
class dsimplify_core_fn {
protected:
type_context & m_ctx;
expr_struct_map<expr> m_cache;
unsigned m_num_steps;
bool m_need_restart;
unsigned m_max_steps;
bool m_visit_instances;
virtual optional<pair<expr, bool>> pre(expr const &) {
return optional<pair<expr, bool>>();
}
virtual optional<pair<expr, bool>> post(expr const &) {
return optional<pair<expr, bool>>();
}
expr visit_macro(expr const & e) {
buffer<expr> new_args;
for (unsigned i = 0; i < macro_num_args(e); i++)
new_args.push_back(visit(macro_arg(e, i)));
return update_macro(e, new_args.size(), new_args.data());
}
expr visit_binding(expr const & e) {
expr_kind k = e.kind();
type_context::tmp_locals locals(m_ctx);
expr b = e;
bool modified = false;
while (b.kind() == k) {
expr d = instantiate_rev(binding_domain(b), locals.size(), locals.data());
expr new_d = visit(d);
if (!is_eqp(d, new_d)) modified = true;
locals.push_local(binding_name(b), new_d, binding_info(b));
b = binding_body(b);
}
b = instantiate_rev(b, locals.size(), locals.data());
expr new_b = visit(b);
if (!is_eqp(b, new_b)) modified = true;
if (modified)
return k == expr_kind::Pi ? locals.mk_pi(new_b) : locals.mk_lambda(new_b);
else
return e;
}
expr visit_let(expr const & e) {
type_context::tmp_locals locals(m_ctx);
expr b = e;
bool modified = false;
while (is_let(b)) {
expr t = instantiate_rev(let_type(b), locals.size(), locals.data());
expr v = instantiate_rev(let_value(b), locals.size(), locals.data());
expr new_t = visit(t);
expr new_v = visit(v);
if (!is_eqp(t, new_t) || !is_eqp(v, new_v)) modified = true;
locals.push_let(let_name(b), t, v);
b = let_body(b);
}
b = instantiate_rev(b, locals.size(), locals.data());
expr new_b = visit(b);
if (!is_eqp(b, new_b)) modified = true;
if (modified)
return locals.mk_lambda(new_b);
else
return e;
}
expr visit_app(expr const & e) {
buffer<expr> args;
bool modified = false;
expr f = get_app_args(e, args);
unsigned i = 0;
if (!m_visit_instances) {
fun_info info = get_fun_info(m_ctx, f, args.size());
for (param_info const & pinfo : info.get_params_info()) {
lean_assert(i < args.size());
expr new_a;
if (pinfo.is_inst_implicit()) {
new_a = defeq_canonize(m_ctx, args[i], m_need_restart);
} else {
new_a = visit(args[i]);
}
if (new_a != args[i])
modified = true;
args[i] = new_a;
i++;
}
}
for (; i < args.size(); i++) {
expr new_a = visit(args[i]);
if (new_a != args[i])
modified = true;
args[i] = new_a;
}
if (modified)
return mk_app(f, args);
else
return e;
}
void inc_num_steps() {
m_num_steps++;
if (m_num_steps > m_max_steps)
throw exception("dsimplify failed, maximum number of steps exceeded");
}
expr visit(expr const & e) {
check_system("dsimplify");
lean_trace_inc_depth("dsimplify");
lean_trace_d("dsimplify", scope_trace_env scope(m_ctx.env(), m_ctx); tout() << e << "\n";);
inc_num_steps();
auto it = m_cache.find(e);
if (it != m_cache.end())
return it->second;
if (auto p1 = pre(e)) {
if (!p1->second) {
m_cache.insert(mk_pair(e, p1->first));
return p1->first;
}
}
expr curr_e = e;
while (true) {
expr new_e;
switch (curr_e.kind()) {
case expr_kind::Local:
case expr_kind::Meta:
case expr_kind::Sort:
case expr_kind::Constant:
new_e = curr_e;
break;
case expr_kind::Var:
lean_unreachable();
case expr_kind::Macro:
new_e = visit_macro(curr_e);
break;
case expr_kind::Lambda:
case expr_kind::Pi:
new_e = visit_binding(curr_e);
break;
case expr_kind::App:
new_e = visit_app(curr_e);
break;
case expr_kind::Let:
new_e = visit_let(curr_e);
break;
}
if (auto p2 = post(new_e)) {
curr_e = p2->first;
if (!p2->second)
break;
} else {
break;
}
}
m_cache.insert(mk_pair(e, curr_e));
return curr_e;
}
public:
dsimplify_core_fn(type_context & ctx, unsigned max_steps, bool visit_instances):
m_ctx(ctx), m_num_steps(0), m_need_restart(false),
m_max_steps(max_steps), m_visit_instances(visit_instances) {}
expr operator()(expr e) {
while (true) {
m_need_restart = false;
e = visit(e);
if (!m_need_restart)
return e;
m_cache.clear();
}
}
};
class dsimplify_fn : public dsimplify_core_fn {
simp_lemmas_for m_simp_lemmas;
virtual optional<pair<expr, bool>> post(expr const & e) override {
expr curr_e = e;
while (true) {
check_system("dsimplify");
inc_num_steps();
list<simp_lemma> const * simp_lemmas_ptr = m_simp_lemmas.find(curr_e);
if (!simp_lemmas_ptr) break;
buffer<simp_lemma> simp_lemmas;
to_buffer(*simp_lemmas_ptr, simp_lemmas);
expr new_e = curr_e;
for (simp_lemma const & sl : simp_lemmas) {
if (sl.is_refl()) {
new_e = refl_lemma_rewrite(m_ctx, new_e, sl);
break;
}
}
if (new_e == curr_e) break;
curr_e = new_e;
}
if (curr_e == e)
return optional<pair<expr, bool>>();
else
return optional<pair<expr, bool>>(curr_e, true);
}
public:
dsimplify_fn(type_context & ctx, simp_lemmas_for const & lemmas, unsigned max_steps, bool visit_instances):
dsimplify_core_fn(ctx, max_steps, visit_instances),
m_simp_lemmas(lemmas) {
}
};
}