/* Copyright (c) 2014 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Leonardo de Moura */ #include "util/flet.h" #include "kernel/replace_fn.h" #include "kernel/free_vars.h" #include "kernel/abstract.h" #include "kernel/instantiate.h" #include "library/annotation.h" #include "library/aliases.h" #include "library/scoped_ext.h" #include "library/coercion.h" #include "library/expr_pair.h" #include "library/placeholder.h" #include "library/private.h" #include "library/explicit.h" #include "library/typed_expr.h" #include "library/num.h" #include "library/let.h" #include "library/print.h" #include "frontends/lean/pp.h" #include "frontends/lean/pp_options.h" #include "frontends/lean/token_table.h" #include "frontends/lean/builtin_exprs.h" namespace lean { static format g_ellipsis_n_fmt = highlight(format("\u2026")); static format g_ellipsis_fmt = highlight(format("...")); static format g_placeholder_fmt = highlight(format("_")); static format g_lambda_n_fmt = highlight_keyword(format("\u03BB")); static format g_lambda_fmt = highlight_keyword(format("fun")); static format g_forall_n_fmt = highlight_keyword(format("\u2200")); static format g_forall_fmt = highlight_keyword(format("forall")); static format g_pi_n_fmt = highlight_keyword(format("Π")); static format g_pi_fmt = highlight_keyword(format("Pi")); static format g_arrow_n_fmt = highlight_keyword(format("\u2192")); static format g_arrow_fmt = highlight_keyword(format("->")); static format g_let_fmt = highlight_keyword(format("let")); static format g_in_fmt = highlight_keyword(format("in")); static format g_assign_fmt = highlight_keyword(format(":=")); static format g_have_fmt = highlight_keyword(format("have")); static format g_from_fmt = highlight_keyword(format("from")); static format g_fact_fmt = highlight_keyword(format("[fact]")); static format g_show_fmt = highlight_keyword(format("show")); static format g_explicit_fmt = highlight_keyword(format("@")); name pretty_fn::mk_metavar_name(name const & m) { if (auto it = m_purify_meta_table.find(m)) return *it; name new_m = m_meta_prefix.append_after(m_next_meta_idx); m_next_meta_idx++; m_purify_meta_table.insert(m, new_m); return new_m; } name pretty_fn::mk_local_name(name const & n, name const & suggested) { if (auto it = m_purify_local_table.find(n)) return *it; unsigned i = 1; name r = suggested; while (m_purify_used_locals.contains(r)) { r = suggested.append_after(i); i++; } m_purify_used_locals.insert(r); m_purify_local_table.insert(n, r); return r; } level pretty_fn::purify(level const & l) { if (!m_universes || !has_meta(l)) return l; return replace(l, [&](level const & l) { if (!has_meta(l)) return some_level(l); if (is_meta(l)) return some_level(mk_meta_univ(mk_metavar_name(meta_id(l)))); return none_level(); }); } /** \brief Make sure that all metavariables have reasonable names, and for all local constants l1 l2, local_pp_name(l1) != local_pp_name(l2). \remark pretty_fn will create new local constants when pretty printing, but it will make sure that the new constants will not produce collisions. */ expr pretty_fn::purify(expr const & e) { if (!has_expr_metavar(e) && !has_local(e) && (!m_universes || !has_univ_metavar(e))) return e; return replace(e, [&](expr const & e, unsigned) { if (!has_expr_metavar(e) && !has_local(e) && (!m_universes || !has_univ_metavar(e))) return some_expr(e); else if (is_metavar(e)) return some_expr(mk_metavar(mk_metavar_name(mlocal_name(e)), mlocal_type(e))); else if (is_local(e)) return some_expr(mk_local(mlocal_name(e), mk_local_name(mlocal_name(e), local_pp_name(e)), mlocal_type(e), local_info(e))); else if (is_constant(e)) return some_expr(update_constant(e, map(const_levels(e), [&](level const & l) { return purify(l); }))); else if (is_sort(e)) return some_expr(update_sort(e, purify(sort_level(e)))); else return none_expr(); }); } void pretty_fn::set_options_core(options const & o) { m_options = o; m_indent = get_pp_indent(o); m_max_depth = get_pp_max_depth(o); m_max_steps = get_pp_max_steps(o); m_implict = get_pp_implicit(o); m_unicode = get_pp_unicode(o); m_coercion = get_pp_coercion(o); m_notation = get_pp_notation(o); m_universes = get_pp_universes(o); m_full_names = get_pp_full_names(o); m_private_names = get_pp_private_names(o); m_metavar_args = get_pp_metavar_args(o); } void pretty_fn::set_options(options const & o) { if (is_eqp(o, m_options)) return; set_options_core(o); } format pretty_fn::pp_level(level const & l) { return ::lean::pp(l, m_unicode, m_indent); } bool pretty_fn::is_implicit(expr const & f) { if (m_implict) return false; // showing implicit arguments try { binder_info bi = binding_info(m_tc.ensure_pi(m_tc.infer(f).first).first); return bi.is_implicit() || bi.is_strict_implicit(); } catch (...) { return false; } } bool pretty_fn::is_prop(expr const & e) { try { return m_env.impredicative() && m_tc.is_prop(e).first; } catch (...) { return false; } } auto pretty_fn::pp_child(expr const & e, unsigned bp) -> result { if (is_app(e) && is_implicit(app_fn(e))) { return pp_child(app_fn(e), bp); } else if (is_app(e) && !m_coercion && is_coercion(m_env, get_app_fn(e))) { return pp_child(app_arg(e), bp); // TODO(Fix): this is not correct for coercions to function-class } else { result r = pp(e); if (r.second < bp) { return mk_result(paren(r.first)); } else { return r; } } } auto pretty_fn::pp_var(expr const & e) -> result { unsigned vidx = var_idx(e); return mk_result(compose(format("#"), format(vidx))); } auto pretty_fn::pp_sort(expr const & e) -> result { if (m_env.impredicative() && e == Prop) { return mk_result(format("Prop")); } else if (m_universes) { return mk_result(group(format("Type.{") + nest(6, pp_level(sort_level(e))) + format("}"))); } else { return mk_result(format("Type")); } } auto pretty_fn::pp_const(expr const & e) -> result { name n = const_name(e); if (!m_full_names) { if (auto it = is_expr_aliased(m_env, n)) { n = *it; } else { for (name const & ns : get_namespaces(m_env)) { if (!ns.is_anonymous()) { name new_n = n.replace_prefix(ns, name()); if (new_n != n && !new_n.is_anonymous()) { n = new_n; break; } } } } } if (!m_private_names) { if (auto n1 = hidden_to_user_name(m_env, n)) n = *n1; } if (m_universes && !empty(const_levels(e))) { format r = compose(format(n), format(".{")); bool first = true; for (auto const & l : const_levels(e)) { format l_fmt = pp_level(l); if (is_max(l) || is_imax(l)) l_fmt = paren(l_fmt); if (first) r += nest(m_indent, l_fmt); else r += nest(m_indent, compose(line(), l_fmt)); first = false; } r += format("}"); return mk_result(group(r)); } else { return mk_result(format(n)); } } auto pretty_fn::pp_meta(expr const & e) -> result { return mk_result(compose(format("?"), format(mlocal_name(e)))); } auto pretty_fn::pp_local(expr const & e) -> result { return mk_result(format(local_pp_name(e))); } auto pretty_fn::pp_app(expr const & e) -> result { result res_fn = pp_child(app_fn(e), max_bp()-1); result res_arg = pp_child(app_arg(e), max_bp()); return mk_result(group(compose(res_fn.first, nest(m_indent, compose(line(), res_arg.first)))), max_bp()-1); } format pretty_fn::pp_binder_block(buffer const & names, expr const & type, binder_info const & bi) { format r; if (bi.is_implicit()) r += format("{"); else if (bi.is_cast()) r += format("["); else if (bi.is_strict_implicit() && m_unicode) r += format("⦃"); else if (bi.is_strict_implicit() && !m_unicode) r += format("{{"); else r += format("("); for (name const & n : names) { r += format(n); r += space(); } r += compose(colon(), nest(m_indent, compose(line(), pp_child(type, 0).first))); if (bi.is_implicit()) r += format("}"); else if (bi.is_cast()) r += format("]"); else if (bi.is_strict_implicit() && m_unicode) r += format("⦄"); else if (bi.is_strict_implicit() && !m_unicode) r += format("}}"); else r += format(")"); return group(r); } format pretty_fn::pp_binders(buffer const & locals) { unsigned num = locals.size(); buffer names; expr local = locals[0]; expr type = mlocal_type(local); binder_info bi = local_info(local); names.push_back(local_pp_name(local)); format r; for (unsigned i = 1; i < num; i++) { expr local = locals[i]; if (mlocal_type(local) == type && local_info(local) == bi) { names.push_back(local_pp_name(local)); } else { r += group(compose(line(), pp_binder_block(names, type, bi))); names.clear(); type = mlocal_type(local); bi = local_info(local); names.push_back(local_pp_name(local)); } } r += group(compose(line(), pp_binder_block(names, type, bi))); return r; } auto pretty_fn::pp_lambda(expr const & e) -> result { expr b = e; buffer locals; while (is_lambda(b)) { auto p = binding_body_fresh(b, true); locals.push_back(p.second); b = p.first; } format r = m_unicode ? g_lambda_n_fmt : g_lambda_fmt; r += pp_binders(locals); r += compose(comma(), nest(m_indent, compose(line(), pp_child(b, 0).first))); return mk_result(r, 0); } auto pretty_fn::pp_pi(expr const & e) -> result { if (is_arrow(e)) { result lhs = pp_child(binding_domain(e), get_arrow_prec()); result rhs = pp_child(lift_free_vars(binding_body(e), 1), get_arrow_prec()-1); format r = group(lhs.first + space() + (m_unicode ? g_arrow_n_fmt : g_arrow_fmt) + line() + rhs.first); return mk_result(r, get_arrow_prec()-1); } else { expr b = e; buffer locals; while (is_pi(b) && !is_arrow(b)) { auto p = binding_body_fresh(b, true); locals.push_back(p.second); b = p.first; } format r; if (is_prop(b)) r = m_unicode ? g_forall_n_fmt : g_forall_fmt; else r = m_unicode ? g_pi_n_fmt : g_pi_fmt; r += pp_binders(locals); r += compose(comma(), nest(m_indent, compose(line(), pp_child(b, 0).first))); return mk_result(r, 0); } } static bool is_have(expr const & e) { return is_app(e) && is_have_annotation(app_fn(e)); } static bool is_show(expr const & e) { return is_show_annotation(e) && is_app(get_annotation_arg(e)) && is_lambda(app_fn(get_annotation_arg(e))); } auto pretty_fn::pp_have(expr const & e) -> result { expr proof = app_arg(e); expr binding = get_annotation_arg(app_fn(e)); auto p = binding_body_fresh(binding, true); expr local = p.second; expr body = p.first; name const & n = local_pp_name(local); format type_fmt = pp_child(mlocal_type(local), 0).first; format proof_fmt = pp_child(proof, 0).first; format body_fmt = pp_child(body, 0).first; format r = g_have_fmt + space() + format(n) + space(); if (binding_info(binding).is_contextual()) r += compose(g_fact_fmt, space()); r += colon() + nest(m_indent, line() + type_fmt + comma() + space() + g_from_fmt); r = group(r); r += nest(m_indent, line() + proof_fmt + comma()); r = group(r); r += line() + body_fmt; return mk_result(r, 0); } auto pretty_fn::pp_show(expr const & e) -> result { lean_assert(is_show(e)); expr s = get_annotation_arg(e); expr proof = app_arg(s); expr type = binding_domain(app_fn(s)); format type_fmt = pp_child(type, 0).first; format proof_fmt = pp_child(proof, 0).first; format r = g_show_fmt + space() + nest(5, type_fmt) + comma() + space() + g_from_fmt; r = group(r); r += nest(m_indent, compose(line(), proof_fmt)); return mk_result(group(r), 0); } auto pretty_fn::pp_explicit(expr const & e) -> result { result res_arg = pp_child(get_explicit_arg(e), max_bp()); return mk_result(compose(g_explicit_fmt, res_arg.first), max_bp()); } auto pretty_fn::pp_macro(expr const & e) -> result { if (is_explicit(e)) { return pp_explicit(e); } else { // TODO(Leo): have macro annotations // fix macro<->pp interface format r = compose(format("["), format(macro_def(e).get_name())); for (unsigned i = 0; i < macro_num_args(e); i++) r += nest(m_indent, compose(line(), pp_child(macro_arg(e, i), max_bp()).first)); r += format("]"); return mk_result(group(r)); } } auto pretty_fn::pp_let(expr e) -> result { buffer> decls; while (true) { if (!is_let(e)) break; name n = get_let_var_name(e); expr v = get_let_value(e); expr b = get_let_body(e); lean_assert(closed(b)); expr b1 = abstract(b, v); if (closed(b1)) { e = b1; } else { n = pick_unused_name(b1, n); decls.emplace_back(n, v); e = instantiate(b1, mk_constant(n)); } } if (decls.empty()) return pp(e); format r = g_let_fmt; unsigned sz = decls.size(); for (unsigned i = 0; i < sz; i++) { name const & n = decls[i].first; expr const & v = decls[i].second; format beg = i == 0 ? space() : line(); format sep = i < sz - 1 ? comma() : format(); format entry = format(n); format v_fmt = pp_child(v, 0).first; entry += space() + g_assign_fmt + nest(m_indent, line() + v_fmt + sep); r += nest(3 + 1, beg + group(entry)); } format b = pp_child(e, 0).first; r += line() + g_in_fmt + space() + nest(2 + 1, b); return mk_result(r, 0); } auto pretty_fn::pp_num(mpz const & n) -> result { return mk_result(format(n)); } auto pretty_fn::pp(expr const & e) -> result { if (m_depth > m_max_depth || m_num_steps > m_max_steps) return mk_result(m_unicode ? g_ellipsis_n_fmt : g_ellipsis_fmt); flet let_d(m_depth, m_depth+1); m_num_steps++; if (is_placeholder(e)) return mk_result(g_placeholder_fmt); if (is_show(e)) return pp_show(e); if (is_have(e)) return pp_have(e); if (is_let(e)) return pp_let(e); if (is_typed_expr(e)) return pp(get_typed_expr_expr(e)); if (auto n = to_num(e)) return pp_num(*n); if (!m_metavar_args && is_meta(e)) return pp_meta(get_app_fn(e)); switch (e.kind()) { case expr_kind::Var: return pp_var(e); case expr_kind::Sort: return pp_sort(e); case expr_kind::Constant: return pp_const(e); case expr_kind::Meta: return pp_meta(e); case expr_kind::Local: return pp_local(e); case expr_kind::App: return pp_app(e); case expr_kind::Lambda: return pp_lambda(e); case expr_kind::Pi: return pp_pi(e); case expr_kind::Macro: return pp_macro(e); } lean_unreachable(); // LCOV_EXCL_LINE } pretty_fn::pretty_fn(environment const & env, options const & o): m_env(env), m_tc(env) { set_options_core(o); m_meta_prefix = "M"; m_next_meta_idx = 1; } format pretty_fn::operator()(expr const & e) { m_depth = 0; m_num_steps = 0; return pp_child(purify(e), 0).first; } formatter_factory mk_pretty_formatter_factory() { return [](environment const & env, options const & o) { // NOLINT auto fn_ptr = std::make_shared(env, o); return formatter(o, [=](expr const & e, options const & new_o) { fn_ptr->set_options(new_o); return (*fn_ptr)(e); }); }; } }