lean2/src/kernel/replace.h
Leonardo de Moura 3df6149daa Add support for metavariables in the type checker.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-17 11:09:59 -07:00

96 lines
3 KiB
C++

/*
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 "util/buffer.h"
#include "kernel/expr.h"
#include "kernel/expr_maps.h"
namespace lean {
/**
\brief Default replace_fn postprocessor functional object. It is a
do-nothing object.
*/
class default_replace_postprocessor {
public:
void operator()(expr const & old_e, expr const & new_e) {}
};
/**
\brief Functional for applying <tt>F</tt> to the subexpressions of a given expression.
The signature of \c F is
expr const &, unsigned -> expr
F is invoked for each subexpression \c s of the input expression e.
In a call <tt>F(s, n)</tt>, n is the scope level, i.e., the number of
bindings operators that enclosing \c s.
P is a "post-processing" functional object that is applied to each
pair (old, new)
*/
template<typename F, typename P = default_replace_postprocessor>
class replace_fn {
static_assert(std::is_same<typename std::result_of<F(expr const &, unsigned)>::type, expr>::value,
"replace_fn: return type of F is not expr");
expr_cell_offset_map<expr> m_cache;
F m_f;
P m_post;
expr apply(expr const & e, unsigned offset) {
bool sh = false;
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;
sh = true;
}
expr r = m_f(e, offset);
if (is_eqp(e, r)) {
switch (e.kind()) {
case expr_kind::Type: case expr_kind::Value: case expr_kind::Constant:
case expr_kind::Var: case expr_kind::MetaVar:
break;
case expr_kind::App:
r = update_app(e, [=](expr const & c) { return apply(c, offset); });
break;
case expr_kind::Eq:
r = update_eq(e, [=](expr const & l, expr const & r) { return std::make_pair(apply(l, offset), apply(r, offset)); });
break;
case expr_kind::Lambda:
case expr_kind::Pi:
r = update_abst(e, [=](expr const & t, expr const & b) { return std::make_pair(apply(t, offset), apply(b, offset+1)); });
break;
case expr_kind::Let:
r = update_let(e, [=](expr const & t, expr const & v, expr const & b) {
expr new_t = t ? apply(t, offset) : expr();
return std::make_tuple(new_t, apply(v, offset), apply(b, offset+1));
});
break;
}
}
if (sh)
m_cache.insert(std::make_pair(expr_cell_offset(e.raw(), offset), r));
m_post(e, r);
return r;
}
public:
replace_fn(F const & f, P const & p = P()):
m_f(f),
m_post(p) {
}
expr operator()(expr const & e) {
return apply(e, 0);
}
};
}