lean4-htt/src/compiler/erase_irrelevant.cpp

139 lines
5.5 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/sstream.h"
#include "kernel/instantiate.h"
#include "kernel/inductive/inductive.h"
#include "library/util.h"
#include "library/constants.h"
#include "library/normalize.h"
#include "library/aux_recursors.h"
#include "compiler/util.h"
#include "compiler/compiler_step_visitor.h"
namespace lean {
static expr * g_neutral_expr = nullptr;
static expr * g_unreachable_expr = nullptr;
class erase_irrelevant_fn : public compiler_step_visitor {
virtual expr visit_constant(expr const & e) override {
/* Erase universe level information */
return mk_constant(const_name(e));
}
/* We keep only the major and minor premises in cases_on applications. */
expr visit_cases_on(expr const & fn, buffer<expr> & args) {
name const & rec_name = const_name(fn);
name const & I_name = rec_name.get_prefix();
unsigned nparams = *inductive::get_num_params(env(), I_name);
unsigned nminors = *inductive::get_num_minor_premises(env(), I_name);
unsigned nindices = *inductive::get_num_indices(env(), I_name);
unsigned arity = nparams + 1 /* typeformer/motive */ + nindices + 1 /* major premise */ + nminors;
lean_assert(args.size() >= arity);
for (unsigned i = nparams + 1 + nindices; i < args.size(); i++) {
args[i] = visit(args[i]);
}
return mk_app(fn, args.size() - nparams - 1 - nindices, args.data() + nparams + 1 + nindices);
}
/* Remove eq.rec applications since they are just "type-casting" operations. */
expr visit_eq_rec(buffer<expr> & args) {
lean_assert(args.size() >= 6);
expr major = visit(args[3]);
for (unsigned i = 6; i < args.size(); i++)
args[i] = visit(args[i]);
return beta_reduce(mk_app(major, args.size() - 6, args.data() + 6));
}
expr consume_lambdas(type_context::tmp_locals & locals, expr e) {
while (true) {
if (is_lambda(e)) {
expr local = locals.push_local_from_binding(e);
e = instantiate(binding_body(e), local);
} else {
return beta_reduce(e);
}
}
}
/* We can eliminate no_confusion applications, they do not add any relevant information to the environment */
expr visit_no_confusion(expr const & fn, buffer<expr> const & args) {
lean_assert(is_constant(fn));
name const & no_confusion_name = const_name(fn);
name const & I_name = no_confusion_name.get_prefix();
unsigned nparams = *inductive::get_num_params(env(), I_name);
unsigned nindices = *inductive::get_num_indices(env(), I_name);
unsigned basic_arity = nparams + nindices + 1 /* motive */ + 2 /* lhs/rhs */ + 1 /* equality */;
lean_assert(args.size() >= basic_arity);
expr lhs = ctx().whnf(args[nparams + nindices + 1]);
expr rhs = ctx().whnf(args[nparams + nindices + 2]);
optional<name> lhs_constructor = is_constructor_app(env(), lhs);
optional<name> rhs_constructor = is_constructor_app(env(), rhs);
if (!lhs_constructor || !rhs_constructor)
throw exception(sstream() << "code generation failed, unsupported occurrence of '" << no_confusion_name << "', constructors expected");
if (lhs_constructor != rhs_constructor)
return *g_unreachable_expr;
lean_assert(args.size() >= basic_arity + 1);
expr major = args[nparams + nindices + 4];
type_context::tmp_locals locals(ctx());
major = consume_lambdas(locals, major);
major = visit(major);
major = locals.mk_lambda(major);
expr r = major;
unsigned c_data_sz = get_constructor_arity(env(), *lhs_constructor) - nparams;
for (unsigned i = 0; i < c_data_sz; i++)
r = mk_app(r, *g_neutral_expr); // add dummy proofs
/* add remaining arguments */
for (unsigned i = nparams + nindices + 5; i < args.size(); i++)
r = mk_app(r, visit(args[i]));
return beta_reduce(r);
}
virtual expr visit_app(expr const & e) override {
buffer<expr> args;
expr const & fn = get_app_args(e, args);
if (is_lambda(fn)) {
return visit(beta_reduce(e));
} else if (is_constant(fn)) {
name const & n = const_name(fn);
if (is_cases_on_recursor(env(), n)) {
return visit_cases_on(fn, args);
} else if (is_no_confusion(env(), n)) {
return visit_no_confusion(fn, args);
} else if (n == get_eq_rec_name()) {
return visit_eq_rec(args);
}
}
return compiler_step_visitor::visit_app(e);
}
public:
erase_irrelevant_fn(environment const & env):compiler_step_visitor(env) {}
};
expr erase_irrelevant(environment const & env, expr const & e) {
return erase_irrelevant_fn(env)(e);
}
bool is_neutral_expr(expr const & e) {
return e == *g_neutral_expr;
}
bool is_unreachable_expr(expr const & e) {
return e == *g_unreachable_expr;
}
void initialize_erase_irrelevant() {
g_neutral_expr = new expr(mk_constant("_neutral_"));
g_unreachable_expr = new expr(mk_constant("_unreachable_"));
}
void finalize_erase_irrelevant() {
delete g_neutral_expr;
delete g_unreachable_expr;
}
}