50 lines
1.8 KiB
C++
50 lines
1.8 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 "util/numerics/mpz.h"
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#include "kernel/environment.h"
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namespace lean {
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bool is_const_app(expr const &, name const &, unsigned);
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/** \brief Return true iff the given expression encodes a numeral. */
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bool is_num(expr const & e);
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/** \brief Return true iff is_num(e) or \c e is of the form (- e') where to_num(e') */
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bool is_signed_num(expr const & e);
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bool is_zero(expr const & e);
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bool is_one(expr const & e);
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optional<expr> is_bit0(expr const & e);
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optional<expr> is_bit1(expr const & e);
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optional<expr> is_neg(expr const & e);
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/** \brief Return true iff \c n is zero, one, bit0 or bit1 */
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bool is_numeral_const_name(name const & n);
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/** Unfold \c e it is is_zero, is_one, is_bit0 or is_bit1 application */
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optional<expr> unfold_num_app(environment const & env, expr const & e);
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/** \brief If the given expression encodes a numeral, then convert it back to mpz numeral.
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\see from_num */
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optional<mpz> to_num(expr const & e);
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/** \brief If the given expression is a numeral encode the num and pos_num types, return the encoded numeral */
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optional<mpz> to_num_core(expr const & e);
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/** \brief Return true iff n is zero/one/has_zero.zero/has_one.one.
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These constants are used to encode numerals, and some tactics may have to treat them in a special way.
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\remark This kind of hard-coded solution is not ideal. One alternative solution is to have yet another
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annotation to let user mark constants that should be treated in a different way by some tactics. */
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bool is_num_leaf_constant(name const & n);
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/** \brief Encode \c n as an expression using bit0/bit1/one/zero constants */
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expr to_nat_expr(mpz const & n);
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void initialize_num();
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void finalize_num();
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}
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