/* 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 #include "kernel/formatter.h" #include "kernel/environment.h" #include "kernel/find_fn.h" #include "kernel/instantiate.h" #include "kernel/free_vars.h" #include "library/annotation.h" #include "library/let.h" #include "library/print.h" namespace lean { bool is_used_name(expr const & t, name const & n) { return static_cast( find(t, [&](expr const & e, unsigned) { return (is_constant(e) && const_name(e) == n) // t has a constant named n || (is_local(e) && (mlocal_name(e) == n || local_pp_name(e) == n)) // t has a local constant named n || (is_let(e) && get_let_var_name(e) == n); })); } name pick_unused_name(expr const & t, name const & s) { name r = s; unsigned i = 1; while (is_used_name(t, r)) { r = name(s).append_after(i); i++; } return r; } bool is_internal_name(name n) { while (!n.is_atomic()) n = n.get_prefix(); return n.is_numeral(); } static name * g_x = nullptr; static name * g_internal = nullptr; void initialize_print() { g_internal = new name("M"); g_x = new name("x"); } void finalize_print() { delete g_x; delete g_internal; } pair binding_body_fresh(expr const & b, bool preserve_type) { lean_assert(is_binding(b)); name n = binding_name(b); if (is_internal_name(n)) n = *g_x; n = pick_unused_name(binding_body(b), n); expr c = mk_local(n, preserve_type ? binding_domain(b) : expr(), binding_info(b)); return mk_pair(instantiate(binding_body(b), c), c); } name fix_internal_name(name const & a) { if (a.is_atomic()) { if (a.is_numeral()) return *g_internal; else return a; } else { name p = fix_internal_name(a.get_prefix()); if (p == a.get_prefix()) return a; else if (a.is_numeral()) return name(p, a.get_numeral()); else return name(p, a.get_string()); } } /** \brief Very basic printer for expressions. It is mainly used when debugging code. */ struct print_expr_fn { std::ostream & m_out; bool m_type0_as_bool; std::ostream & out() { return m_out; } bool is_atomic(expr const & a) { return ::lean::is_atomic(a) || is_mlocal(a); } void print_child(expr const & a) { if (is_atomic(a)) { print(a); } else { out() << "("; print(a); out() << ")"; } } void print_macro(expr const & a) { macro_def(a).display(out()); for (unsigned i = 0; i < macro_num_args(a); i++) { out() << " "; print_child(macro_arg(a, i)); } } void print_sort(expr const & a) { if (is_zero(sort_level(a))) { if (m_type0_as_bool) out() << "Prop"; else out() << "Type"; } else if (m_type0_as_bool && is_one(sort_level(a))) { out() << "Type"; } else { out() << "Type.{" << sort_level(a) << "}"; } } void print_app(expr const & e) { expr const & f = app_fn(e); if (is_app(f)) print(f); else print_child(f); out() << " "; print_child(app_arg(e)); } void print_arrow_body(expr const & a) { if (is_atomic(a) || is_arrow(a)) return print(a); else return print_child(a); } void print_binding(char const * bname, expr e) { expr_kind k = e.kind(); out() << bname; while (e.kind() == k) { out() << " "; auto p = binding_body_fresh(e); expr const & n = p.second; if (binding_info(e).is_implicit()) out() << "{"; else if (binding_info(e).is_cast()) out() << "["; else if (!binding_info(e).is_contextual()) out() << "[["; else if (binding_info(e).is_strict_implicit()) out() << "{{"; else out() << "("; out() << n << " : "; print(binding_domain(e)); if (binding_info(e).is_implicit()) out() << "}"; else if (binding_info(e).is_cast()) out() << "]"; else if (!binding_info(e).is_contextual()) out() << "]]"; else if (binding_info(e).is_strict_implicit()) out() << "}}"; else out() << ")"; e = p.first; } out() << ", "; print_child(e); } void print_const(expr const & a) { list const & ls = const_levels(a); out() << const_name(a); if (!is_nil(ls)) { out() << ".{"; bool first = true; for (auto l : ls) { if (first) first = false; else out() << " "; if (is_max(l) || is_imax(l)) out() << "(" << l << ")"; else out() << l; } out() << "}"; } } void print(expr const & a) { switch (a.kind()) { case expr_kind::Meta: out() << "?" << fix_internal_name(mlocal_name(a)); break; case expr_kind::Local: out() << fix_internal_name(local_pp_name(a)); break; case expr_kind::Var: out() << "#" << var_idx(a); break; case expr_kind::Constant: print_const(a); break; case expr_kind::App: print_app(a); break; case expr_kind::Lambda: print_binding("fun", a); break; case expr_kind::Pi: if (!is_arrow(a)) { print_binding("Pi", a); } else { print_child(binding_domain(a)); out() << " -> "; print_arrow_body(lower_free_vars(binding_body(a), 1)); } break; case expr_kind::Sort: print_sort(a); break; case expr_kind::Macro: print_macro(a); break; } } print_expr_fn(std::ostream & out, bool type0_as_bool = true):m_out(out), m_type0_as_bool(type0_as_bool) {} void operator()(expr const & e) { scoped_expr_caching set(false); print(e); } }; formatter_factory mk_print_formatter_factory() { return [](environment const & env, options const & o) { // NOLINT return formatter(o, [=](expr const & e, options const &) { std::ostringstream s; print_expr_fn pr(s, env.prop_proof_irrel()); pr(e); return format(s.str()); }); }; } void init_default_print_fn() { set_print_fn([](std::ostream & out, expr const & e) { print_expr_fn pr(out); pr(e); }); } }