/* 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 #include "library/vm/vm.h" #include "library/vm/vm_string.h" namespace lean { // ======================================= // Builtin nat operations vm_obj mk_vm_nat(unsigned n) { if (LEAN_LIKELY(n < LEAN_VM_MAX_SMALL_NAT)) return mk_vm_simple(n); else return mk_vm_mpz(mpz(n)); } vm_obj mk_vm_nat(mpz const & n) { if (LEAN_LIKELY(n < LEAN_VM_MAX_SMALL_NAT)) return mk_vm_simple(n.get_unsigned_int()); else return mk_vm_mpz(n); } unsigned to_unsigned(vm_obj const & o) { if (LEAN_LIKELY(is_simple(o))) return cidx(o); else return to_mpz(o).get_unsigned_int(); } optional try_to_unsigned(vm_obj const & o) { if (LEAN_LIKELY(is_simple(o))) { return optional(cidx(o)); } else { mpz const & v = to_mpz(o); if (v.is_unsigned_int()) return optional(v.get_unsigned_int()); else return optional(); } } unsigned force_to_unsigned(vm_obj const & o, unsigned def) { if (auto r = try_to_unsigned(o)) return *r; else return def; } size_t force_to_size_t(vm_obj const & o, size_t def) { // TODO(Leo): fix size_t is 8 bytes in 64-bit machines if (auto r = try_to_unsigned(o)) return *r; else return def; } MK_THREAD_LOCAL_GET_DEF(mpz, get_mpz1); MK_THREAD_LOCAL_GET_DEF(mpz, get_mpz2); static mpz const & to_mpz1(vm_obj const & o) { if (is_simple(o)) { mpz & r = get_mpz1(); r = cidx(o); return r; } else { return to_mpz(o); } } static mpz const & to_mpz2(vm_obj const & o) { if (is_simple(o)) { mpz & r = get_mpz2(); r = cidx(o); return r; } else { return to_mpz(o); } } mpz const & vm_nat_to_mpz1(vm_obj const & o) { return to_mpz1(o); } mpz const & vm_nat_to_mpz2(vm_obj const & o) { return to_mpz2(o); } vm_obj nat_add(vm_obj const & a1, vm_obj const & a2) { if (LEAN_LIKELY(is_simple(a1) && is_simple(a2))) { return mk_vm_nat(cidx(a1) + cidx(a2)); } else { return mk_vm_mpz(to_mpz1(a1) + to_mpz2(a2)); } } vm_obj nat_mul(vm_obj const & a1, vm_obj const & a2) { if (LEAN_LIKELY(is_simple(a1) && is_simple(a2))) { unsigned long long r = static_cast(cidx(a1)) * static_cast(cidx(a2)); if (LEAN_LIKELY(r < LEAN_VM_MAX_SMALL_NAT)) { return mk_vm_simple(r); } } return mk_vm_mpz(to_mpz1(a1) * to_mpz2(a2)); } vm_obj nat_sub(vm_obj const & a1, vm_obj const & a2) { if (LEAN_LIKELY(is_simple(a1) && is_simple(a2))) { unsigned v1 = cidx(a1); unsigned v2 = cidx(a2); if (v2 > v1) return mk_vm_simple(0); else return mk_vm_nat(v1 - v2); } else { mpz const & v1 = to_mpz1(a1); mpz const & v2 = to_mpz2(a2); if (v2 > v1) return mk_vm_simple(0); else return mk_vm_nat(v1 - v2); } } vm_obj nat_div(vm_obj const & a1, vm_obj const & a2) { if (LEAN_LIKELY(is_simple(a1) && is_simple(a2))) { unsigned v1 = cidx(a1); unsigned v2 = cidx(a2); if (v2 == 0) return mk_vm_simple(0); else return mk_vm_nat(v1 / v2); } else { mpz const & v1 = to_mpz1(a1); mpz const & v2 = to_mpz2(a2); if (v2 == 0) return mk_vm_simple(0); else return mk_vm_nat(v1 / v2); } } vm_obj nat_mod(vm_obj const & a1, vm_obj const & a2) { if (LEAN_LIKELY(is_simple(a1) && is_simple(a2))) { unsigned v1 = cidx(a1); unsigned v2 = cidx(a2); if (v2 == 0) return a1; else return mk_vm_nat(v1 % v2); } else { mpz const & v1 = to_mpz1(a1); mpz const & v2 = to_mpz2(a2); if (v2 == 0) return a1; else return mk_vm_nat(v1 % v2); } } vm_obj nat_decidable_eq(vm_obj const & a1, vm_obj const & a2) { if (LEAN_LIKELY(is_simple(a1) && is_simple(a2))) { return mk_vm_bool(cidx(a1) == cidx(a2)); } else { return mk_vm_bool(to_mpz1(a1) == to_mpz2(a2)); } } vm_obj nat_decidable_le(vm_obj const & a1, vm_obj const & a2) { if (LEAN_LIKELY(is_simple(a1) && is_simple(a2))) { return mk_vm_bool(cidx(a1) <= cidx(a2)); } else { return mk_vm_bool(to_mpz1(a1) <= to_mpz2(a2)); } } vm_obj nat_decidable_lt(vm_obj const & a1, vm_obj const & a2) { if (LEAN_LIKELY(is_simple(a1) && is_simple(a2))) { return mk_vm_bool(cidx(a1) < cidx(a2)); } else { return mk_vm_bool(to_mpz1(a1) < to_mpz2(a2)); } } void initialize_vm_nat() { DECLARE_VM_BUILTIN(name({"nat", "add"}), nat_add); DECLARE_VM_BUILTIN(name({"nat", "mul"}), nat_mul); DECLARE_VM_BUILTIN(name({"nat", "sub"}), nat_sub); DECLARE_VM_BUILTIN(name({"nat", "div"}), nat_div); DECLARE_VM_BUILTIN(name({"nat", "mod"}), nat_mod); DECLARE_VM_BUILTIN(name({"nat", "dec_eq"}), nat_decidable_eq); DECLARE_VM_BUILTIN(name({"nat", "dec_le"}), nat_decidable_le); DECLARE_VM_BUILTIN(name({"nat", "dec_lt"}), nat_decidable_lt); } void finalize_vm_nat() { } }