lean4-htt/src/kernel/free_vars.cpp
2015-01-15 18:42:56 -08:00

75 lines
2.8 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
*/
#include <algorithm>
#include <limits>
#include "kernel/free_vars.h"
#include "kernel/expr_sets.h"
#include "kernel/replace_fn.h"
#include "kernel/for_each_fn.h"
namespace lean {
bool has_free_var(expr const & e, unsigned i) {
bool found = false;
for_each(e, [&](expr const & e, unsigned offset) {
if (found)
return false; // already found
unsigned n_i = i + offset;
if (n_i < i)
return false; // overflow, vidx can't be >= max unsigned
if (n_i >= get_free_var_range(e))
return false; // expression e does not contain free variables with idx >= n_i
if (is_var(e)) {
unsigned vidx = var_idx(e);
if (vidx == n_i)
found = true;
}
return true; // continue search
});
return found;
}
expr lower_free_vars(expr const & e, unsigned s, unsigned d) {
if (d == 0 || s >= get_free_var_range(e))
return e;
lean_assert(s >= d);
return replace(e, [=](expr const & e, unsigned offset) -> optional<expr> {
unsigned s1 = s + offset;
if (s1 < s)
return some_expr(e); // overflow, vidx can't be >= max unsigned
if (s1 >= get_free_var_range(e))
return some_expr(e); // expression e does not contain free variables with idx >= s1
if (is_var(e) && var_idx(e) >= s1) {
lean_assert(var_idx(e) >= offset + d);
return some_expr(mk_var(var_idx(e) - d));
} else {
return none_expr();
}
});
}
expr lower_free_vars(expr const & e, unsigned d) { return lower_free_vars(e, d, d); }
expr lift_free_vars(expr const & e, unsigned s, unsigned d) {
if (d == 0 || s >= get_free_var_range(e))
return e;
return replace(e, [=](expr const & e, unsigned offset) -> optional<expr> {
unsigned s1 = s + offset;
if (s1 < s)
return some_expr(e); // overflow, vidx can't be >= max unsigned
if (s1 >= get_free_var_range(e))
return some_expr(e); // expression e does not contain free variables with idx >= s1
if (is_var(e) && var_idx(e) >= s + offset) {
unsigned new_idx = var_idx(e) + d;
if (new_idx < var_idx(e))
throw exception("invalid lift_free_vars operation, index overflow");
return some_expr(mk_var(new_idx));
} else {
return none_expr();
}
});
}
expr lift_free_vars(expr const & e, unsigned d) { return lift_free_vars(e, 0, d); }
}