lean2/src/kernel/replace.h

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/*
Copyright (c) 2013 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
*/
#pragma once
#include <vector>
#include "expr.h"
#include "maps.h"
namespace lean {
/**
\brief Functional for applying F to the subexpressions of a given expression.
The signature of F is
unsigned, expr -> expr
F is invoked for each subexpression s of the input expression e.
In a call F(n, s), n is the scope level, i.e., the number of
bindings operators that enclosing s.
*/
template<typename F>
class replace_proc {
expr_cell_offset_map<expr> m_cache;
F m_f;
expr apply(expr const & e, unsigned offset) {
if (is_shared(e)) {
expr_cell_offset p(e.raw(), offset);
auto it = m_cache.find(p);
if (it != m_cache.end())
return it->second;
}
expr r = m_f(e, offset);
if (eqp(e, r)) {
switch (e.kind()) {
case expr_kind::Prop: case expr_kind::Type: case expr_kind::Numeral: case expr_kind::Constant: case expr_kind::Var:
break;
case expr_kind::App: {
std::vector<expr> new_args;
bool modified = false;
for (expr const & a : args(e)) {
new_args.push_back(apply(a, offset));
if (!eqp(a, new_args.back()))
modified = true;
}
if (modified)
r = app(new_args.size(), new_args.data());
else
r = e;
break;
}
case expr_kind::Lambda:
case expr_kind::Pi: {
expr const & old_t = abst_type(e);
expr const & old_b = abst_body(e);
expr t = apply(old_t, offset);
expr b = apply(old_b, offset+1);
if (!eqp(t, old_t) || !eqp(b, old_b)) {
name const & n = abst_name(e);
r = is_pi(e) ? pi(n, t, b) : lambda(n, t, b);
}
else {
r = e;
}
break;
}}
}
if (is_shared(e))
m_cache.insert(std::make_pair(expr_cell_offset(e.raw(), offset), r));
return r;
}
public:
replace_proc(F const & f):
m_f(f) {
}
expr operator()(expr const & e) {
return apply(e, 0);
}
};
}