269 lines
7.4 KiB
C++
269 lines
7.4 KiB
C++
/*
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Copyright (c) 2014 Microsoft Corporation. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Author: Leonardo de Moura
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*/
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#include <utility>
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#include "kernel/formatter.h"
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#include "kernel/environment.h"
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#include "kernel/find_fn.h"
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#include "kernel/instantiate.h"
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#include "kernel/free_vars.h"
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#include "kernel/annotation.h"
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namespace lean {
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bool is_used_name(expr const & t, name const & n) {
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return static_cast<bool>(
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find(t, [&](expr const & e, unsigned) {
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return (is_constant(e) && const_name(e) == n) // t has a constant named n
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|| (is_local(e) && (mlocal_name(e) == n || local_pp_name(e) == n)); // t has a local constant named n
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}));
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}
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name pick_unused_name(expr const & t, name const & s) {
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name r = s;
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unsigned i = 1;
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while (is_used_name(t, r)) {
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r = name(s).append_after(i);
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i++;
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}
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return r;
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}
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bool is_internal_name(name n) {
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while (!n.is_atomic())
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n = n.get_prefix();
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return n.is_numeral();
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}
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static name g_x("x");
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pair<expr, expr> binding_body_fresh(expr const & b, bool preserve_type) {
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lean_assert(is_binding(b));
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name n = binding_name(b);
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if (is_internal_name(n))
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n = g_x;
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n = pick_unused_name(binding_body(b), n);
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expr c = mk_local(n, preserve_type ? binding_domain(b) : expr());
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return mk_pair(instantiate(binding_body(b), c), c);
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}
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static name g_internal("M");
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name fix_internal_name(name const & a) {
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if (a.is_atomic()) {
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if (a.is_numeral())
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return g_internal;
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else
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return a;
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} else {
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name p = fix_internal_name(a.get_prefix());
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if (p == a.get_prefix())
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return a;
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else if (a.is_numeral())
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return name(p, a.get_numeral());
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else
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return name(p, a.get_string());
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}
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}
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/**
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\brief Very basic printer for expressions.
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It is mainly used when debugging code.
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*/
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struct print_expr_fn {
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std::ostream & m_out;
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bool m_type0_as_bool;
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std::ostream & out() { return m_out; }
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bool is_atomic(expr const & a) {
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return ::lean::is_atomic(a) || is_mlocal(a);
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}
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void print_child(expr const & a) {
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if (is_atomic(a)) {
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print(a);
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} else {
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out() << "("; print(a); out() << ")";
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}
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}
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bool print_let(expr const & a) {
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if (!is_let_annotation(a))
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return false;
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expr l = get_annotation_arg(a);
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if (!is_app(l) || !is_lambda(app_fn(l)))
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return false;
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name n = binding_name(app_fn(l));
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expr t = binding_domain(app_fn(l));
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expr b = binding_body(app_fn(l));
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expr v = app_arg(l);
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n = pick_unused_name(b, n);
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expr c = mk_local(n, expr());
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b = instantiate(b, c);
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out() << "let " << c;
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out() << " : ";
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print(t);
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out() << " := ";
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print(v);
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out() << " in ";
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print_child(b);
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return true;
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}
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void print_macro(expr const & a) {
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if (!print_let(a)) {
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macro_def(a).display(out());
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for (unsigned i = 0; i < macro_num_args(a); i++) {
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out() << " "; print_child(macro_arg(a, i));
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}
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}
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}
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void print_sort(expr const & a) {
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if (is_zero(sort_level(a))) {
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if (m_type0_as_bool)
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out() << "Prop";
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else
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out() << "Type";
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} else if (m_type0_as_bool && is_one(sort_level(a))) {
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out() << "Type";
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} else {
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out() << "Type.{" << sort_level(a) << "}";
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}
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}
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void print_app(expr const & e) {
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expr const & f = app_fn(e);
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if (is_app(f))
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print(f);
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else
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print_child(f);
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out() << " ";
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print_child(app_arg(e));
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}
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void print_arrow_body(expr const & a) {
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if (is_atomic(a) || is_arrow(a))
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return print(a);
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else
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return print_child(a);
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}
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void print_binding(char const * bname, expr e) {
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expr_kind k = e.kind();
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out() << bname;
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while (e.kind() == k) {
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out() << " ";
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auto p = binding_body_fresh(e);
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expr const & n = p.second;
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if (binding_info(e).is_implicit())
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out() << "{";
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else if (binding_info(e).is_cast())
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out() << "[";
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else if (!binding_info(e).is_contextual())
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out() << "[[";
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else if (binding_info(e).is_strict_implicit())
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out() << "{{";
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else
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out() << "(";
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out() << n << " : ";
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print(binding_domain(e));
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if (binding_info(e).is_implicit())
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out() << "}";
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else if (binding_info(e).is_cast())
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out() << "]";
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else if (!binding_info(e).is_contextual())
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out() << "]]";
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else if (binding_info(e).is_strict_implicit())
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out() << "}}";
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else
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out() << ")";
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e = p.first;
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}
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out() << ", ";
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print_child(e);
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}
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void print_const(expr const & a) {
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list<level> const & ls = const_levels(a);
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out() << const_name(a);
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if (!is_nil(ls)) {
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out() << ".{";
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bool first = true;
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for (auto l : ls) {
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if (first) first = false; else out() << " ";
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if (is_max(l) || is_imax(l))
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out() << "(" << l << ")";
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else
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out() << l;
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}
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out() << "}";
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}
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}
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void print(expr const & a) {
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switch (a.kind()) {
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case expr_kind::Meta:
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out() << "?" << fix_internal_name(mlocal_name(a));
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break;
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case expr_kind::Local:
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out() << fix_internal_name(local_pp_name(a));
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break;
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case expr_kind::Var:
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out() << "#" << var_idx(a);
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break;
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case expr_kind::Constant:
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print_const(a);
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break;
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case expr_kind::App:
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print_app(a);
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break;
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case expr_kind::Lambda:
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print_binding("fun", a);
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break;
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case expr_kind::Pi:
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if (!is_arrow(a)) {
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print_binding("Pi", a);
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} else {
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print_child(binding_domain(a));
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out() << " -> ";
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print_arrow_body(lower_free_vars(binding_body(a), 1));
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}
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break;
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case expr_kind::Sort:
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print_sort(a);
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break;
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case expr_kind::Macro:
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print_macro(a);
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break;
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}
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}
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print_expr_fn(std::ostream & out, bool type0_as_bool = true):m_out(out), m_type0_as_bool(type0_as_bool) {}
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void operator()(expr const & e) {
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scoped_expr_caching set(false);
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print(e);
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}
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};
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std::ostream & operator<<(std::ostream & out, expr const & e) {
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print_expr_fn pr(out);
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pr(e);
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return out;
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}
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formatter_factory mk_simple_formatter_factory() {
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return [](environment const & env, options const & o) { // NOLINT
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return formatter(o, [=](expr const & e, options const &) {
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std::ostringstream s;
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print_expr_fn pr(s, env.prop_proof_irrel());
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pr(e);
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return format(s.str());
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});
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};
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}
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void print(lean::expr const & a) { std::cout << a << std::endl; }
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}
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