/* Copyright (c) 2016 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Leonardo de Moura */ #include "kernel/instantiate.h" #include "kernel/abstract.h" #include "library/util.h" #include "library/delayed_abstraction.h" #include "library/vm/vm_name.h" #include "library/vm/vm_nat.h" #include "library/vm/vm_expr.h" #include "library/tactic/tactic_state.h" namespace lean { static name mk_aux_name(local_context const & lctx, list & given_names, name const & default_name, bool use_unused_names) { if (given_names) { name r = head(given_names); given_names = tail(given_names); return r == "_" ? lctx.get_unused_name(default_name) : r; } else { return use_unused_names ? lctx.get_unused_name(default_name) : default_name; } } optional intron(environment const & env, options const & opts, metavar_context & mctx, expr const & mvar, unsigned n, list & given_names, buffer & new_Hns, bool use_unused_names) { lean_assert(is_metavar(mvar)); optional g = mctx.find_metavar_decl(mvar); if (!g) return none_expr(); type_context ctx = mk_type_context_for(env, opts, mctx, g->get_context()); expr type = g->get_type(); type_context::tmp_locals new_locals(ctx); buffer new_Hs; for (unsigned i = 0; i < n; i++) { if (!is_pi(type) && !is_let(type)) { type = ctx.whnf(type); if (!is_pi(type)) return none_expr(); } lean_assert(is_pi(type) || is_let(type)); if (is_pi(type)) { name H_name = mk_aux_name(ctx.lctx(), given_names, binding_name(type), use_unused_names); expr H = new_locals.push_local(H_name, annotated_head_beta_reduce(binding_domain(type)), binding_info(type)); type = instantiate(binding_body(type), H); new_Hs.push_back(H); new_Hns.push_back(mlocal_name(H)); } else { lean_assert(is_let(type)); name H_name = mk_aux_name(ctx.lctx(), given_names, let_name(type), use_unused_names); expr H = new_locals.push_let(H_name, annotated_head_beta_reduce(let_type(type)), let_value(type)); type = instantiate(let_body(type), H); new_Hs.push_back(H); new_Hns.push_back(mlocal_name(H)); } } expr new_M = ctx.mk_metavar_decl(ctx.lctx(), type); expr new_val = abstract_locals(mk_delayed_abstraction_with_locals(new_M, new_Hs), new_Hs.size(), new_Hs.data()); unsigned i = new_Hs.size(); while (i > 0) { --i; local_decl d = ctx.lctx().get_local_decl(new_Hs[i]); expr type = d.get_type(); type = abstract_locals(type, i, new_Hs.data()); if (auto letval = d.get_value()) { letval = abstract_locals(*letval, i, new_Hs.data()); new_val = mk_let(d.get_pp_name(), type, *letval, new_val); } else { new_val = mk_lambda(d.get_pp_name(), type, new_val, d.get_info()); } } lean_assert(!ctx.mctx().is_assigned(new_M)); mctx = ctx.mctx(); mctx.assign(mvar, new_val); return some_expr(new_M); } optional intron(environment const & env, options const & opts, metavar_context & mctx, expr const & mvar, unsigned n, list & given_names, bool use_unused_names) { buffer tmp; return intron(env, opts, mctx, mvar, n, given_names, tmp, use_unused_names); } optional intron(environment const & env, options const & opts, metavar_context & mctx, expr const & mvar, unsigned n, bool use_unused_names) { list empty; return intron(env, opts, mctx, mvar, n, empty, use_unused_names); } optional intron(environment const & env, options const & opts, metavar_context & mctx, expr const & mvar, unsigned n, buffer & new_Hns, bool use_unused_names) { list empty; return intron(env, opts, mctx, mvar, n, empty, new_Hns, use_unused_names); } optional intron(unsigned n, tactic_state const & s, buffer & new_Hns, bool use_unused_names) { if (n == 0) return some_tactic_state(s); optional mvar = s.get_main_goal(); if (!mvar) return none_tactic_state(); list new_names; metavar_context mctx = s.mctx(); if (optional new_M = intron(s.env(), s.get_options(), mctx, *mvar, n, new_names, new_Hns, use_unused_names)) { list new_gs(*new_M, tail(s.goals())); return some_tactic_state(set_mctx_goals(s, mctx, new_gs)); } else { return none_tactic_state(); } } optional intron(unsigned n, tactic_state const & s, bool use_unused_names) { buffer tmp; return intron(n, s, tmp, use_unused_names); } vm_obj tactic_intron(vm_obj const & num, vm_obj const & s) { optional g = tactic::to_state(s).get_main_goal_decl(); if (!g) return mk_no_goals_exception(tactic::to_state(s)); buffer new_Hs; bool use_unused_names = true; if (auto new_s = intron(force_to_unsigned(num, 0), tactic::to_state(s), new_Hs, use_unused_names)) return tactic::mk_success(*new_s); else return tactic::mk_exception("intron tactic failed, insufficient binders", tactic::to_state(s)); } vm_obj intro(name const & n, tactic_state const & s) { optional g = s.get_main_goal_decl(); if (!g) return mk_no_goals_exception(s); type_context ctx = mk_type_context_for(s); expr type = g->get_type(); if (!is_pi(type) && !is_let(type)) { type = ctx.whnf(type); if (!is_pi(type)) return tactic::mk_exception("intro tactic failed, Pi/let expression expected", s); } local_context lctx = g->get_context(); metavar_context mctx = ctx.mctx(); if (is_pi(type)) { name n1 = n == "_" ? lctx.get_unused_name(binding_name(type)) : n; expr H = lctx.mk_local_decl(n1, annotated_head_beta_reduce(binding_domain(type)), binding_info(type)); expr new_type = instantiate(binding_body(type), H); expr new_M = mctx.mk_metavar_decl(lctx, new_type); expr new_val = mk_lambda(n1, binding_domain(type), mk_delayed_abstraction(new_M, mlocal_name(H))); mctx.assign(head(s.goals()), new_val); list new_gs(new_M, tail(s.goals())); return tactic::mk_success(to_obj(H), set_mctx_goals(s, mctx, new_gs)); } else { lean_assert(is_let(type)); name n1 = n == "_" ? lctx.get_unused_name(let_name(type)) : n; expr H = lctx.mk_local_decl(n1, annotated_head_beta_reduce(let_type(type)), let_value(type)); expr new_type = instantiate(let_body(type), H); expr new_M = mctx.mk_metavar_decl(lctx, new_type); expr new_val = mk_let(n1, let_type(type), let_value(type), mk_delayed_abstraction(new_M, mlocal_name(H))); mctx.assign(head(s.goals()), new_val); list new_gs(new_M, tail(s.goals())); return tactic::mk_success(to_obj(H), set_mctx_goals(s, mctx, new_gs)); } } vm_obj tactic_intro(vm_obj const & n, vm_obj const & s) { return intro(to_name(n), tactic::to_state(s)); } void initialize_intro_tactic() { DECLARE_VM_BUILTIN(name({"tactic", "intro_core"}), tactic_intro); DECLARE_VM_BUILTIN(name({"tactic", "intron"}), tactic_intron); } void finalize_intro_tactic() { } }