TODO: - Support for `zeta := true` at `apply_beta`. - Investigate test failure. - Break PR in pieces because of bootstrapping issues. The current PR updates a stage0 file to workaround the issue. Motivation: significant performance improvement at https://github.com/leanprover/LNSym/blob/proof_size_expt/Proofs/SHA512/Experiments/Sym30.lean With M1 Pro: - Before: 4.56 secs - After: 3.16 secs Successfully built stage2 using this PR
45 lines
2.1 KiB
C++
45 lines
2.1 KiB
C++
/*
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Copyright (c) 2013 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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#pragma once
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#include <functional>
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#include "kernel/expr.h"
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namespace lean {
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class ro_metavar_env;
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/** \brief Replace the loose bound variables with indices 0, ..., n-1 with s[0], ..., s[n-1] in e. */
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expr instantiate(expr const & e, unsigned n, expr const * s);
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expr instantiate(expr const & e, std::initializer_list<expr> const & l);
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/** \brief Replace loose bound variable \c i with \c s in \c e. */
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expr instantiate(expr const & e, unsigned i, expr const & s);
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/** \brief Replace loose bound variable \c 0 with \c s in \c e. */
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expr instantiate(expr const & e, expr const & s);
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/** \brief Replace the free variables with indices 0, ..., n-1 with s[n-1], ..., s[0] in e. */
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expr instantiate_rev(expr const & e, unsigned n, expr const * s);
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inline expr instantiate_rev(expr const & e, buffer<expr> const & s) {
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return instantiate_rev(e, s.size(), s.data());
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}
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expr apply_beta(expr f, unsigned num_rev_args, expr const * rev_args, bool preserve_data = true, bool zeta = false);
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bool is_head_beta(expr const & t);
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expr head_beta_reduce(expr const & t);
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/* If `e` is of the form `(fun x, t) a` return `head_beta_const_fn(t)` if `t` does not depend on `x`,
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and `e` otherwise. We also reduce `(fun x_1 ... x_n, x_i) a_1 ... a_n` into `a_[n-i-1]` */
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expr cheap_beta_reduce(expr const & e);
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/** \brief Instantiate the universe level parameters \c ps occurring in \c e with the levels \c ls.
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\pre length(ps) == length(ls) */
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expr instantiate_lparams(expr const & e, names const & ps, levels const & ls);
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class constant_info;
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/** \brief Instantiate the universe level parameters of the type of the given constant.
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\pre d.get_num_lparams() == length(ls) */
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expr instantiate_type_lparams(constant_info const & info, levels const & ls);
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/** \brief Instantiate the universe level parameters of the value of the given constant.
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\pre d.get_num_lparams() == length(ls) */
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expr instantiate_value_lparams(constant_info const & info, levels const & ls);
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}
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