/* 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 #include "printer.h" #include "metavar.h" #include "environment.h" #include "exception.h" namespace lean { bool is_atomic(expr const & e) { switch (e.kind()) { case expr_kind::Var: case expr_kind::Constant: case expr_kind::Value: case expr_kind::Type: return true; case expr_kind::App: case expr_kind::Lambda: case expr_kind::Pi: case expr_kind::Eq: case expr_kind::Let: return false; } return false; } /** \brief Very basic printer for expressions. It is mainly used when debugging code. */ struct print_expr_fn { std::ostream & m_out; std::ostream & out() { return m_out; } void print_child(expr const & a, context const & c) { if (is_atomic(a)) { print(a, c); } else { out() << "("; print(a, c); out() << ")"; } } void print_value(expr const & a) { to_value(a).display(out()); } void print_type(expr const & a) { if (a == Type()) { out() << "Type"; } else { out() << "Type " << ty_level(a); } } void print_eq(expr const & a, context const & c) { print_child(eq_lhs(a), c); out() << " = "; print_child(eq_rhs(a), c); } void print_app(expr const & e, context const & c) { print_child(arg(e, 0), c); for (unsigned i = 1; i < num_args(e); i++) { out() << " "; print_child(arg(e, i), c); } } void print_arrow_body(expr const & a, context const & c) { if (is_atomic(a) || is_arrow(a)) return print(a, c); else return print_child(a, c); } void print(expr const & a, context const & c) { unsigned i, s, n; expr v, ch; if (is_lower(a, ch, s, n)) { out() << "lower:" << s << ":" << n << " "; print_child(ch, c); } else if (is_lift(a, ch, s, n)) { out() << "lift:" << s << ":" << n << " "; print_child(ch, c); } else if (is_subst(a, ch, i, v)) { out() << "subst:" << i << " "; print_child(ch, c); out() << " "; print_child(v, context()); } else { switch (a.kind()) { case expr_kind::Var: try { out() << lookup(c, var_idx(a)).get_name(); } catch (exception & ex) { out() << "#" << var_idx(a); } break; case expr_kind::Constant: if (is_metavar(a)) { out() << "?M:" << metavar_idx(a); } else { out() << const_name(a); } break; case expr_kind::App: print_app(a, c); break; case expr_kind::Eq: print_eq(a, c); break; case expr_kind::Lambda: out() << "fun " << abst_name(a) << " : "; print_child(abst_domain(a), c); out() << ", "; print_child(abst_body(a), extend(c, abst_name(a), abst_domain(a))); break; case expr_kind::Pi: if (!is_arrow(a)) { out() << "Pi " << abst_name(a) << " : "; print_child(abst_domain(a), c); out() << ", "; print_child(abst_body(a), extend(c, abst_name(a), abst_domain(a))); break; } else { print_child(abst_domain(a), c); out() << " -> "; print_arrow_body(abst_body(a), extend(c, abst_name(a), abst_domain(a))); } break; case expr_kind::Let: out() << "let " << let_name(a) << " := "; print(let_value(a), c); out() << " in "; print_child(let_body(a), extend(c, let_name(a), let_value(a))); break; case expr_kind::Type: print_type(a); break; case expr_kind::Value: print_value(a); break; } } } print_expr_fn(std::ostream & out):m_out(out) {} void operator()(expr const & e, context const & c) { print(e, c); } }; std::ostream & operator<<(std::ostream & out, expr const & e) { print_expr_fn pr(out); pr(e, context()); return out; } std::ostream & operator<<(std::ostream & out, std::pair const & p) { print_expr_fn pr(out); pr(p.first, p.second); return out; } static void display_context_core(std::ostream & out, context const & ctx) { if (ctx) { display_context_core(out, tail(ctx)); if (tail(ctx)) out << "; "; out << head(ctx).get_name() << " : " << head(ctx).get_domain(); if (head(ctx).get_body()) { out << " := " << mk_pair(head(ctx).get_body(), tail(ctx)); } } } std::ostream & operator<<(std::ostream & out, context const & ctx) { out << "["; display_context_core(out, ctx); out << "]"; return out; } std::ostream & operator<<(std::ostream & out, object const & obj) { out << obj.keyword() << " "; switch (obj.kind()) { case object_kind::UVarDeclaration: out << obj.get_name() << " >= " << obj.get_cnstr_level(); break; case object_kind::Postulate: out << obj.get_name() << " : " << obj.get_type(); break; case object_kind::Definition: out << obj.get_name() << " : " << obj.get_type() << " :=\n " << obj.get_value(); break; case object_kind::Neutral: break; } return out; } std::ostream & operator<<(std::ostream & out, environment const & env) { std::for_each(env.begin_objects(), env.end_objects(), [&](object const & obj) { out << obj << "\n"; }); return out; } } void print(lean::expr const & a) { std::cout << a << std::endl; } void print(lean::expr const & a, lean::context const & c) { std::cout << mk_pair(a, c) << std::endl; } void print(lean::context const & c) { std::cout << c << std::endl; } void print(lean::environment const & e) { std::cout << e << std::endl; }