feat(library/fun_info_manager): safer "replace" function

This commit is contained in:
Leonardo de Moura 2015-11-05 20:58:19 -08:00
parent 78b1d4279b
commit 6519e570f3
2 changed files with 153 additions and 27 deletions

View file

@ -7,6 +7,8 @@ Author: Leonardo de Moura
#include <algorithm>
#include "kernel/for_each_fn.h"
#include "kernel/instantiate.h"
#include "kernel/abstract.h"
#include "library/replace_visitor.h"
#include "library/fun_info_manager.h"
namespace lean {
@ -18,7 +20,7 @@ auto fun_info_manager::get(expr const & e) -> fun_info {
if (auto r = m_fun_info.find(e))
return *r;
expr type = m_ctx.infer(e);
buffer<arg_info> info;
buffer<param_info> info;
buffer<expr> locals;
while (is_pi(type)) {
expr local = m_ctx.mk_tmp_local_from_binding(type);
@ -51,4 +53,103 @@ auto fun_info_manager::get(expr const & e) -> fun_info {
m_fun_info.insert(e, r);
return r;
}
struct replace_fn : public replace_visitor {
fun_info_manager & m_infom;
type_context & m_ctx;
unsigned m_num;
expr const * m_from;
expr const * m_to;
struct failed {};
replace_fn(fun_info_manager & infom, unsigned n, expr const * ts, expr const * rs):
m_infom(infom), m_ctx(infom.ctx()), m_num(n), m_from(ts), m_to(rs) {}
virtual expr visit(expr const & e) {
for (unsigned i = 0; i < m_num; i++) {
if (e == m_from[i])
return m_to[i];
}
return replace_visitor::visit(e);
}
virtual expr visit_mlocal(expr const & e) {
return e;
}
virtual expr visit_binding(expr const & b) {
expr new_domain = visit(binding_domain(b));
expr l = m_ctx.mk_tmp_local(binding_name(b), new_domain, binding_info(b));
expr new_body = abstract(visit(instantiate(binding_body(b), l)), l);
return update_binding(b, new_domain, new_body);
}
virtual expr visit_app(expr const & e) {
buffer<expr> args;
expr f = get_app_args(e, args);
expr new_f = visit(f);
fun_info info = m_infom.get(f);
if (info.get_arity() < args.size())
throw failed();
auto ps_info = info.get_params_info();
bool modified = f != new_f;
buffer<expr> new_args;
buffer<bool> to_check;
bool has_to_check = false;
for (expr const & arg : args) {
expr new_arg = visit(arg);
auto pinfo = head(ps_info);
bool c = false;
if (modified) {
// if not argument has been modified, then there is nothing to be checked
for (unsigned idx : pinfo.get_dependencies()) {
lean_assert(idx < new_args.size());
if (args[idx] != new_args[idx]) {
c = true;
has_to_check = true;
break;
}
}
}
if (new_arg != arg) {
modified = true;
}
to_check.push_back(c);
new_args.push_back(new_arg);
ps_info = tail(ps_info);
}
lean_assert(args.size() == new_args.size());
if (!modified)
return e;
expr new_e = mk_app(new_f, new_args);
if (has_to_check) {
lean_assert(to_check.size() == new_args.size());
expr it = new_e;
unsigned i = to_check.size();
while (i > 0) {
--i;
expr const & fn = app_fn(it);
if (to_check[i]) {
expr fn_type = m_ctx.whnf(m_ctx.infer(fn));
if (!is_pi(fn_type))
throw failed();
expr arg_type = m_ctx.infer(app_arg(it));
if (!m_ctx.is_def_eq(binding_domain(fn_type), arg_type))
throw failed();
}
it = fn;
}
}
return new_e;
}
};
optional<expr> replace(fun_info_manager & infom, expr const & e, unsigned n, expr const * ts, expr const * rs) {
try {
return some_expr(replace_fn(infom, n, ts, rs)(e));
} catch (replace_fn::failed &) {
return none_expr();
}
}
}

View file

@ -9,39 +9,64 @@ Author: Leonardo de Moura
#include "library/type_context.h"
namespace lean {
class fun_info_manager {
class param_info {
unsigned m_implicit:1;
unsigned m_inst_implicit:1;
unsigned m_prop:1;
unsigned m_subsingleton:1;
list<unsigned> m_deps; // previous arguments it depends on
public:
class arg_info {
unsigned m_implicit:1;
unsigned m_inst_implicit:1;
unsigned m_prop:1;
unsigned m_subsingleton:1;
list<unsigned> m_deps; // previous arguments it depends on
public:
arg_info(bool imp, bool inst_imp, bool prop, bool sub, list<unsigned> const & deps):
m_implicit(imp), m_inst_implicit(inst_imp), m_prop(prop), m_subsingleton(sub), m_deps(deps) {}
list<unsigned> const & get_dependencies() const { return m_deps; }
bool is_prop() const { return m_prop; }
bool is_implicit() const { return m_implicit; }
bool is_inst_implicit() const { return m_inst_implicit; }
bool is_subsingleton() const { return m_subsingleton; }
};
param_info(bool imp, bool inst_imp, bool prop, bool sub, list<unsigned> const & deps):
m_implicit(imp), m_inst_implicit(inst_imp), m_prop(prop), m_subsingleton(sub), m_deps(deps) {}
list<unsigned> const & get_dependencies() const { return m_deps; }
bool is_prop() const { return m_prop; }
bool is_implicit() const { return m_implicit; }
bool is_inst_implicit() const { return m_inst_implicit; }
bool is_subsingleton() const { return m_subsingleton; }
};
class fun_info {
unsigned m_arity;
list<arg_info> m_args_info;
public:
fun_info():m_arity(0) {}
fun_info(unsigned arity, list<arg_info> const & info):m_arity(arity), m_args_info(info) {}
unsigned get_arity() const { return m_arity; }
list<arg_info> const & get_args_info() const { return m_args_info; }
};
private:
class fun_info {
unsigned m_arity;
list<param_info> m_params_info;
public:
fun_info():m_arity(0) {}
fun_info(unsigned arity, list<param_info> const & info):m_arity(arity), m_params_info(info) {}
unsigned get_arity() const { return m_arity; }
list<param_info> const & get_params_info() const { return m_params_info; }
};
class fun_info_manager {
type_context & m_ctx;
rb_map<expr, fun_info, expr_quick_cmp> m_fun_info;
public:
fun_info_manager(type_context & ctx);
type_context & ctx() { return m_ctx; }
fun_info get(expr const & e);
};
/** \brief Given a term \c e of the form F[ts[0], ..., ts[n-1]],
return F[rs[0], ..., rs[n-1]] only if the replacement does not produce type errors.
Note that even if each ts[i] and rs[i] have the same type, the result may be none.
Here is a very simple example:
Given (f : Pi (n : nat), bv n -> bv n) (v : bv 10), then (F[v] := f 10 v) is type
correct, but (f 11 v) is not.
If
a) F[ts[0], ..., ts[n-1] is type correct, and
b) If there is a telescope T s.t. (ts[0], ..., ts[n-1]) and (rs[0], ..., rs[n-1]) are instances of T, and
c) the result is not none
Then
the result is type correct.
TODO(Leo): move to a different file?
*/
optional<expr> replace(fun_info_manager & infom, expr const & e, unsigned n, expr const * ts, expr const * rs);
inline optional<expr> replace(fun_info_manager & infom, expr const & e, buffer<expr> const & ts, buffer<expr> const & rs) {
lean_assert(ts.size() == rs.size());
return replace(infom, e, ts.size(), ts.data(), rs.data());
}
}