lean2/src/library/abstract_expr_manager.cpp

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/*
Copyright (c) 2015 Daniel Selsam. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Daniel Selsam
*/
#include "library/abstract_expr_manager.h"
#include "util/safe_arith.h"
namespace lean {
unsigned abstract_expr_manager::get_weight(expr const & e) {
switch (e.kind()) {
case expr_kind::Constant:
case expr_kind::Local:
case expr_kind::Meta:
case expr_kind::Sort:
case expr_kind::Var:
case expr_kind::Macro:
return ::lean::get_weight(e);
case expr_kind::Lambda:
case expr_kind::Pi:
return safe_add(1,safe_add(get_weight(binding_domain(e)), get_weight(binding_body(e))));
case expr_kind::App:
buffer<expr> args;
expr f = get_app_args(e, args);
fun_info f_info = m_fun_info_manager.get(f, args.size());
unsigned w = get_weight(f);
unsigned one = 1;
int i = -1;
for_each(f_info.get_params_info(), [&](param_info const & p_info) {
i++;
w = safe_add(w, one);
if (p_info.is_subsingleton()) return;
w = safe_add(w, get_weight(args[i]));
});
return w;
}
lean_unreachable();
}
unsigned abstract_expr_manager::hash(expr const & e) {
switch (e.kind()) {
case expr_kind::Constant:
case expr_kind::Local:
case expr_kind::Meta:
case expr_kind::Sort:
case expr_kind::Var:
case expr_kind::Macro:
return e.hash();
case expr_kind::Lambda:
case expr_kind::Pi:
return ::lean::hash(hash(binding_domain(e)), hash(binding_body(e)));
case expr_kind::App:
buffer<expr> args;
expr f = get_app_args(e, args);
fun_info f_info = m_fun_info_manager.get(f, args.size());
unsigned h = hash(f);
int i = -1;
for_each(f_info.get_params_info(), [&](param_info const & p_info) {
i++;
if (p_info.is_subsingleton()) return;
h = ::lean::hash(h, hash(args[i]));
});
return h;
}
lean_unreachable();
}
bool abstract_expr_manager::is_equal(expr const & a, expr const & b) {
if (is_eqp(a, b)) return true;
if (hash(a) != hash(b)) return false;
if (a.kind() != b.kind()) return false;
if (is_var(a)) return var_idx(a) == var_idx(b);
switch (a.kind()) {
case expr_kind::Var:
lean_unreachable(); // LCOV_EXCL_LINE
case expr_kind::Constant: case expr_kind::Sort:
return a == b;
case expr_kind::Meta: case expr_kind::Local:
return mlocal_name(a) == mlocal_name(b) && is_equal(mlocal_type(a), mlocal_type(b));
case expr_kind::Lambda: case expr_kind::Pi:
return is_equal(binding_domain(a), binding_domain(b)) && is_equal(binding_body(a), binding_body(b));
case expr_kind::Macro:
if (macro_def(a) != macro_def(b) || macro_num_args(a) != macro_num_args(b))
return false;
for (unsigned i = 0; i < macro_num_args(a); i++) {
if (!is_equal(macro_arg(a, i), macro_arg(b, i)))
return false;
}
return true;
case expr_kind::App:
buffer<expr> a_args, b_args;
expr f_a = get_app_args(a, a_args);
expr f_b = get_app_args(b, b_args);
if (!is_equal(f_a, f_b)) return false;
if (a_args.size() != b_args.size()) return false;
fun_info f_info = m_fun_info_manager.get(f_a, a_args.size());
int i = -1;
bool not_equal = false;
for_each(f_info.get_params_info(), [&](param_info const & p_info) {
i++;
if (p_info.is_subsingleton()) return;
if (!is_equal(a_args[i], b_args[i])) not_equal = true;
});
return !not_equal;
}
lean_unreachable(); // LCOV_EXCL_LINE
}
bool abstract_expr_manager::is_lt(expr const & a, expr const & b) {
if (is_eqp(a, b)) return false;
unsigned wa = get_weight(a);
unsigned wb = get_weight(b);
if (wa < wb) return true;
if (wa > wb) return false;
if (a.kind() != b.kind()) return a.kind() < b.kind();
if (is_equal(a,b)) return false;
switch (a.kind()) {
case expr_kind::Var:
case expr_kind::Constant:
case expr_kind::Sort:
return a < b;
case expr_kind::Local: case expr_kind::Meta:
if (mlocal_name(a) != mlocal_name(b))
return mlocal_name(a) < mlocal_name(b);
else
return is_lt(mlocal_type(a), mlocal_type(b));
case expr_kind::Lambda: case expr_kind::Pi:
if (!is_equal(binding_domain(a), binding_domain(b)))
return is_lt(binding_domain(a), binding_domain(b));
else
return is_lt(binding_body(a), binding_body(b));
case expr_kind::Macro:
if (macro_def(a) != macro_def(b))
return macro_def(a) < macro_def(b);
if (macro_num_args(a) != macro_num_args(b))
return macro_num_args(a) < macro_num_args(b);
for (unsigned i = 0; i < macro_num_args(a); i++) {
if (!is_equal(macro_arg(a, i), macro_arg(b, i)))
return is_lt(macro_arg(a, i), macro_arg(b, i));
}
return false;
case expr_kind::App:
list<expr> a_args, b_args;
expr f_a = a;
expr f_b = b;
while (is_app(f_a) && is_app(f_b)) {
a_args = cons(app_arg(f_a), a_args);
b_args = cons(app_arg(f_b), b_args);
f_a = app_fn(f_a);
f_b = app_fn(f_b);
}
if (!is_equal(f_a, f_b)) return is_lt(f_a, f_b);
fun_info f_info = m_fun_info_manager.get(f_a, length(a_args));
bool lt = false;
bool gt = false;
for_each3(f_info.get_params_info(), a_args, b_args,
[&](param_info const & p_info, expr const & a_arg, expr const & b_arg) {
if (lt || gt) return;
if (p_info.is_subsingleton()) return;
if (!is_equal(a_arg, b_arg)) {
if (is_lt(a_arg, b_arg)) lt = true;
else gt = true;
}
});
return lt;
}
lean_unreachable(); // LCOV_EXCL_LINE
}
}