lean2/src/library/locals.cpp
Leonardo de Moura 1cbace9df6 feat(library/tactic/congruence_tactic): add congruence lemma generator
The generated congruence theorems ignore arguments that are subsingleton types.
2015-06-05 22:00:10 -07:00

140 lines
4.1 KiB
C++

/*
Copyright (c) 2014-2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
*/
#include "util/name_set.h"
#include "kernel/abstract.h"
#include "kernel/instantiate.h"
#include "kernel/expr.h"
#include "kernel/for_each_fn.h"
#include "kernel/find_fn.h"
#include "library/locals.h"
namespace lean {
void collect_univ_params_core(level const & l, name_set & r) {
for_each(l, [&](level const & l) {
if (!has_param(l))
return false;
if (is_param(l))
r.insert(param_id(l));
return true;
});
}
name_set collect_univ_params(expr const & e, name_set const & ls) {
if (!has_param_univ(e)) {
return ls;
} else {
name_set r = ls;
for_each(e, [&](expr const & e, unsigned) {
if (!has_param_univ(e)) {
return false;
} else if (is_sort(e)) {
collect_univ_params_core(sort_level(e), r);
} else if (is_constant(e)) {
for (auto const & l : const_levels(e))
collect_univ_params_core(l, r);
}
return true;
});
return r;
}
}
level_param_names to_level_param_names(name_set const & ls) {
level_param_names r;
ls.for_each([&](name const & n) {
r = level_param_names(n, r);
});
return r;
}
void collected_locals::insert(expr const & l) {
if (m_local_names.contains(mlocal_name(l)))
return;
m_local_names.insert(mlocal_name(l));
m_locals.push_back(l);
}
void collect_locals(expr const & e, collected_locals & ls, bool restricted) {
if (!has_local(e))
return;
expr_set visited;
std::function<void(expr const & e)> visit = [&](expr const & e) {
if (!has_local(e))
return;
if (restricted && is_meta(e))
return;
if (visited.find(e) != visited.end())
return;
visited.insert(e);
switch (e.kind()) {
case expr_kind::Var: case expr_kind::Constant: case expr_kind::Sort:
break; // do nothing
case expr_kind::Local:
if (!restricted)
visit(mlocal_type(e));
ls.insert(e);
break;
case expr_kind::Meta:
lean_assert(!restricted);
visit(mlocal_type(e));
break;
case expr_kind::Macro:
for (unsigned i = 0; i < macro_num_args(e); i++)
visit(macro_arg(e, i));
break;
case expr_kind::App:
visit(app_fn(e));
visit(app_arg(e));
break;
case expr_kind::Lambda:
case expr_kind::Pi:
visit(binding_domain(e));
visit(binding_body(e));
break;
}
};
visit(e);
}
bool contains_local(expr const & e, name const & n) {
if (!has_local(e))
return false;
bool result = false;
for_each(e, [&](expr const & e, unsigned) {
if (result || !has_local(e)) {
return false;
} else if (is_local(e) && mlocal_name(e) == n) {
result = true;
return false;
} else {
return true;
}
});
return result;
}
optional<expr> depends_on(unsigned sz, expr const * es, expr const & h) {
for (unsigned i = 0; i < sz; i++)
if (depends_on(es[i], h))
return some_expr(es[i]);
return none_expr();
}
bool depends_on_any(expr const & e, unsigned hs_sz, expr const * hs) {
return std::any_of(hs, hs+hs_sz, [&](expr const & h) { return depends_on(e, h); });
}
expr replace_locals(expr const & e, unsigned sz, expr const * locals, expr const * terms) {
return instantiate_rev(abstract_locals(e, sz, locals), sz, terms);
}
expr replace_locals(expr const & e, buffer<expr> const & locals, buffer<expr> const & terms) {
lean_assert(locals.size() == terms.size());
lean_assert(std::all_of(locals.begin(), locals.end(), is_local));
return replace_locals(e, locals.size(), locals.data(), terms.data());
}
}