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695 lines
13 KiB
Plaintext
695 lines
13 KiB
Plaintext
(***********************************************************************)
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(* *)
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(* ATS/contrib/atshwxi *)
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(* *)
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(***********************************************************************)
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(*
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** Copyright (C) 2013 Hongwei Xi, ATS Trustful Software, Inc.
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**
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** Permission is hereby granted, free of charge, to any person obtaining a
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** copy of this software and associated documentation files (the "Software"),
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** to deal in the Software without restriction, including without limitation
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** the rights to use, copy, modify, merge, publish, distribute, sublicense,
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** and/or sell copies of the Software, and to permit persons to whom the
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** Software is furnished to do so, subject to the following stated conditions:
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**
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** The above copyright notice and this permission notice shall be included in
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** all copies or substantial portions of the Software.
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**
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** THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
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** OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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** FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
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** THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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** LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
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** FROM OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS
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** IN THE SOFTWARE.
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*)
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// Source: https://github.com/githwxi/ATS-Postiats-contrib/blob/04a984d9c08c1831f7dda8a05ce356db01f81850/contrib/libats-/hwxi/intinf/DATS/intinf_vt.dats
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(* ****** ****** *)
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//
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// Author: Hongwei Xi
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// Authoremail: hwxi AT gmail DOT com
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// Start Time: April, 2013
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//
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(* ****** ****** *)
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#include
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"share/atspre_define.hats"
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(* ****** ****** *)
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staload
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UN = "prelude/SATS/unsafe.sats"
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(* ****** ****** *)
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staload
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GMP = "{$LIBGMP}/SATS/gmp.sats"
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(* ****** ****** *)
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vtypedef mpz = $GMP.mpz_vt0ype
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(* ****** ****** *)
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//
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staload "./../SATS/intinf.sats"
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staload "./../SATS/intinf_vt.sats"
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//
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(* ****** ****** *)
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macdef i2u (x) = g1int2uint_int_uint (,(x))
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(* ****** ****** *)
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local
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assume
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intinf_vtype
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(i: int) = // HX: [i] is a fake
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[l:addr] (mpz @ l, mfree_gc_v (l) | ptr l)
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// end of [intinf_vtype]
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in (* in of [local] *)
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implement{}
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intinf_make_int
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(i) = (x) where
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{
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//
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val x = ptr_alloc<mpz> ()
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val () = $GMP.mpz_init_set_int (!(x.2), i)
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//
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} (* end of [intinf_make_int] *)
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implement{}
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intinf_make_uint
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(i) = (x) where
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{
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//
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val x = ptr_alloc<mpz> ()
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val () = $GMP.mpz_init_set_uint (!(x.2), i)
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//
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} (* end of [intinf_make_uint] *)
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implement{}
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intinf_make_lint
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(i) = (x) where
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{
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//
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val x = ptr_alloc<mpz> ()
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val () = $GMP.mpz_init_set_lint (!(x.2), i)
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//
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} (* end of [intinf_make_lint] *)
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implement{}
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intinf_make_ulint
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(i) = (x) where
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{
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//
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val x = ptr_alloc<mpz> ()
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val () = $GMP.mpz_init_set_ulint (!(x.2), i)
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//
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} (* end of [intinf_make_ulint] *)
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(* ****** ****** *)
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implement{}
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intinf_free (x) = let
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val (pfat, pfgc | p) = x
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val () = $GMP.mpz_clear (!p) in ptr_free (pfgc, pfat | p)
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end (* end of [intinf_free] *)
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(* ****** ****** *)
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implement{}
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intinf_get_int (x) = $GMP.mpz_get_int (!(x.2))
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implement{}
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intinf_get_lint (x) = $GMP.mpz_get_lint (!(x.2))
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(* ****** ****** *)
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implement{}
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intinf_get_strptr
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(x, base) = $GMP.mpz_get_str_null (base, !(x.2))
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// end of [intinf_get_strptr]
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(* ****** ****** *)
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implement{}
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fprint_intinf_base
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(out, x, base) = let
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val nsz = $GMP.mpz_out_str (out, base, !(x.2))
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in
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//
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if (nsz = 0) then
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exit_errmsg (1, "libgmp/gmp: fprint_intinf_base")
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// end of [if]
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//
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end (* fprint_intinf_base *)
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(* ****** ****** *)
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implement{
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} neg_intinf0
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(x) = (x) where
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{
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//
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val () = $GMP.mpz_neg (!(x.2))
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//
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} (* end of [neg_intinf0] *)
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implement{
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} neg_intinf1
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(x) = (y) where
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{
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//
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val y = ptr_alloc<mpz> ()
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val () = $GMP.mpz_init (!(y.2))
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val () = $GMP.mpz_neg (!(y.2), !(x.2))
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//
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} (* end of [neg_intinf1] *)
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(* ****** ****** *)
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implement{
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} abs_intinf0
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(x) = (x) where
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{
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//
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val () = $GMP.mpz_abs (!(x.2))
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//
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} (* end of [abs_intinf0] *)
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implement{
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} abs_intinf1
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(x) = (y) where
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{
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//
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val y = ptr_alloc<mpz> ()
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val () = $GMP.mpz_init (!(y.2))
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val () = $GMP.mpz_abs (!(y.2), !(x.2))
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//
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} (* end of [abs_intinf1] *)
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(* ****** ****** *)
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implement{}
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succ_intinf0 (x) = add_intinf0_int (x, 1)
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implement{}
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succ_intinf1 (x) = add_intinf1_int (x, 1)
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(* ****** ****** *)
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implement{}
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pred_intinf0 (x) = sub_intinf0_int (x, 1)
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implement{}
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pred_intinf1 (x) = sub_intinf1_int (x, 1)
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(* ****** ****** *)
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implement{}
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add_intinf0_int
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(x, y) = (x) where
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{
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//
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val () = $GMP.mpz_add2_int (!(x.2), y)
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//
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} (* end of [add_intinf0_int] *)
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implement{}
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add_intinf1_int
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(x, y) = (z) where
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{
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//
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val z = ptr_alloc<mpz> ()
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val () = $GMP.mpz_init (!(z.2))
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val () = $GMP.mpz_add3_int (!(z.2), !(x.2), y)
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//
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} (* end of [add_intinf1_int] *)
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(* ****** ****** *)
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implement{}
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add_int_intinf0 (x, y) = add_intinf0_int (y, x)
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implement{}
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add_int_intinf1 (x, y) = add_intinf1_int (y, x)
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(* ****** ****** *)
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implement{}
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add_intinf0_intinf1
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(x, y) = (x) where
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{
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//
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val () = $GMP.mpz_add2_mpz (!(x.2), !(y.2))
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//
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} (* end of [add_intinf0_intinf1] *)
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implement{}
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add_intinf1_intinf0
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(x, y) = (y) where
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{
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//
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val () = $GMP.mpz_add2_mpz (!(y.2), !(x.2))
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//
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} (* end of [add_intinf1_intinf0] *)
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(* ****** ****** *)
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implement{}
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add_intinf1_intinf1
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(x, y) = (z) where
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{
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//
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val z = ptr_alloc<mpz> ()
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val () = $GMP.mpz_init (!(z.2))
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val () = $GMP.mpz_add3_mpz (!(z.2), !(x.2), !(y.2))
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//
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} (* end of [add_intinf1_intinf1] *)
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(* ****** ****** *)
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implement{}
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sub_intinf0_int
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(x, y) = (x) where
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{
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//
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val () = $GMP.mpz_sub2_int (!(x.2), y)
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//
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} (* end of [sub_intinf0_int] *)
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implement{}
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sub_intinf1_int
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(x, y) = (z) where
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{
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//
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val z = ptr_alloc<mpz> ()
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val () = $GMP.mpz_init (!(z.2))
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val () = $GMP.mpz_sub3_int (!(z.2), !(x.2), y)
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//
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} (* end of [sub_intinf1_int] *)
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(* ****** ****** *)
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implement{}
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sub_int_intinf0 (x, y) = let
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val z = sub_intinf0_int (y, x) in neg_intinf0 (z)
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end (* end of [sub_int_intinf0] *)
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implement{}
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sub_int_intinf1 (x, y) = let
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val z = sub_intinf1_int (y, x) in neg_intinf0 (z)
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end (* end of [sub_int_intinf1] *)
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(* ****** ****** *)
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implement{}
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sub_intinf0_intinf1
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(x, y) = (x) where
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{
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//
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val () = $GMP.mpz_sub2_mpz (!(x.2), !(y.2))
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//
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} (* end of [sub_intinf0_intinf1] *)
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implement{}
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sub_intinf1_intinf0
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(x, y) = neg_intinf0 (sub_intinf0_intinf1 (y, x))
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// end of [sub_intinf1_intinf0]
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implement{}
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sub_intinf1_intinf1
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(x, y) = (z) where
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{
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//
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val z = ptr_alloc<mpz> ()
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val () = $GMP.mpz_init (!(z.2))
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val () = $GMP.mpz_sub3_mpz (!(z.2), !(x.2), !(y.2))
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//
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} (* end of [sub_intinf1_intinf1] *)
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(* ****** ****** *)
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implement{}
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mul_intinf0_int
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(x, y) = (x) where
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{
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//
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val () = $GMP.mpz_mul2_int (!(x.2), y)
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//
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} (* end of [mul_intinf0_int] *)
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implement{}
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mul_intinf1_int
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(x, y) = (z) where
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{
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//
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val z = ptr_alloc<mpz> ()
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val () = $GMP.mpz_init (!(z.2))
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val () = $GMP.mpz_mul3_int (!(z.2), !(x.2), y)
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//
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} (* end of [mul_intinf1_int] *)
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(* ****** ****** *)
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implement{}
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mul_int_intinf0 (x, y) = mul_intinf0_int (y, x)
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implement{}
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mul_int_intinf1 (x, y) = mul_intinf1_int (y, x)
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(* ****** ****** *)
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implement{}
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mul_intinf0_intinf1
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(x, y) = (x) where
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{
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//
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val () = $GMP.mpz_mul2_mpz (!(x.2), !(y.2))
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//
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} (* end of [mul_intinf0_intinf1] *)
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implement{}
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mul_intinf1_intinf0
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(x, y) = (y) where
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{
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//
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val () = $GMP.mpz_mul2_mpz (!(y.2), !(x.2))
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//
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} (* end of [mul_intinf0_intinf1] *)
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(* ****** ****** *)
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implement{}
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mul_intinf1_intinf1
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(x, y) = (z) where
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{
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//
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val z = ptr_alloc<mpz> ()
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val () = $GMP.mpz_init (!(z.2))
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val () = $GMP.mpz_mul3_mpz (!(z.2), !(x.2), !(y.2))
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//
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} (* end of [mul_intinf1_intinf1] *)
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(* ****** ****** *)
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implement{}
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div_intinf0_int
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{i,j} (x, y) = let
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in
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//
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if y >= 0 then let
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val () = $GMP.mpz_tdiv2_q_uint (!(x.2), i2u(y)) in x
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end else let
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val () = $GMP.mpz_tdiv2_q_uint (!(x.2), i2u(~y)) in neg_intinf0 (x)
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end // end of [if]
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//
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end (* end of [div_intinf0_int] *)
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implement{}
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div_intinf1_int
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{i,j} (x, y) = let
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//
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val z = ptr_alloc<mpz> ()
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val () = $GMP.mpz_init (!(z.2))
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//
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in
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//
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if y >= 0 then let
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val () = $GMP.mpz_tdiv3_q_uint (!(z.2), !(x.2), i2u(y)) in z
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end else let
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val () = $GMP.mpz_tdiv3_q_uint (!(z.2), !(x.2), i2u(~y)) in neg_intinf0 (z)
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end // end of [if]
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//
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end (* end of [div_intinf1_int] *)
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(* ****** ****** *)
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implement{}
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div_intinf0_intinf1
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(x, y) = (x) where
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{
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//
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val () = $GMP.mpz_tdiv2_q_mpz (!(x.2), !(y.2))
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//
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} (* end of [div_intinf0_intinf1] *)
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(* ****** ****** *)
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implement{}
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div_intinf1_intinf1
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(x, y) = (z) where
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{
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//
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val z = ptr_alloc<mpz> ()
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val () = $GMP.mpz_init (!(z.2))
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val () = $GMP.mpz_tdiv3_q_mpz (!(z.2), !(x.2), !(y.2))
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//
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} (* end of [div_intinf1_intinf1] *)
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(* ****** ****** *)
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implement{}
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ndiv_intinf0_int (x, y) = div_intinf0_int (x, y)
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implement{}
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ndiv_intinf1_int (x, y) = div_intinf1_int (x, y)
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(* ****** ****** *)
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implement{}
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nmod_intinf0_int
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{i,j} (x, y) = let
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//
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val r =
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$GMP.mpz_fdiv_uint (!(x.2), i2u(y))
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val () = intinf_free (x)
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//
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in
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$UN.cast{intBtw(0,j)}(r)
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end (* end of [nmod_intinf0_int] *)
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implement{}
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nmod_intinf1_int
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{i,j} (x, y) = let
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//
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val r = $GMP.mpz_fdiv_uint (!(x.2), i2u(y))
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//
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in
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$UN.cast{intBtw(0,j)}(r)
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end (* end of [nmod_intinf1_int] *)
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(* ****** ****** *)
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//
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// comparison-functions
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//
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(* ****** ****** *)
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implement{}
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lt_intinf_int
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{i,j} (x, y) = let
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//
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val sgn = $GMP.mpz_cmp_int (!(x.2), y)
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val ans = (if sgn < 0 then true else false): bool
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//
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in
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$UN.cast{bool(i < j)}(sgn)
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end // end of [lt_intinf_int]
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implement{}
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lt_intinf_intinf
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{i,j} (x, y) = let
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//
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val sgn = $GMP.mpz_cmp_mpz (!(x.2), !(y.2))
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val ans = (if sgn < 0 then true else false): bool
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//
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in
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$UN.cast{bool(i < j)}(sgn)
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end // end of [lt_intinf_intinf]
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(* ****** ****** *)
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implement{}
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lte_intinf_int
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{i,j} (x, y) = let
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//
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val sgn = $GMP.mpz_cmp_int (!(x.2), y)
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val ans = (if sgn <= 0 then true else false): bool
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//
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in
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$UN.cast{bool(i <= j)}(sgn)
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end // end of [lte_intinf_int]
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implement{}
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lte_intinf_intinf
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{i,j} (x, y) = let
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//
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val sgn = $GMP.mpz_cmp_mpz (!(x.2), !(y.2))
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val ans = (if sgn <= 0 then true else false): bool
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//
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in
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$UN.cast{bool(i <= j)}(sgn)
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end // end of [lte_intinf_intinf]
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(* ****** ****** *)
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|
implement{}
|
|
gt_intinf_int
|
|
{i,j} (x, y) = let
|
|
//
|
|
val sgn = $GMP.mpz_cmp_int (!(x.2), y)
|
|
val ans = (if sgn > 0 then true else false): bool
|
|
//
|
|
in
|
|
$UN.cast{bool(i > j)}(sgn)
|
|
end // end of [gt_intinf_int]
|
|
|
|
implement{}
|
|
gt_intinf_intinf
|
|
{i,j} (x, y) = let
|
|
//
|
|
val sgn = $GMP.mpz_cmp_mpz (!(x.2), !(y.2))
|
|
val ans = (if sgn > 0 then true else false): bool
|
|
//
|
|
in
|
|
$UN.cast{bool(i > j)}(sgn)
|
|
end // end of [gt_intinf_intinf]
|
|
|
|
(* ****** ****** *)
|
|
|
|
implement{}
|
|
gte_intinf_int
|
|
{i,j} (x, y) = let
|
|
//
|
|
val sgn = $GMP.mpz_cmp_int (!(x.2), y)
|
|
val ans = (if sgn >= 0 then true else false): bool
|
|
//
|
|
in
|
|
$UN.cast{bool(i >= j)}(sgn)
|
|
end // end of [gte_intinf_int]
|
|
|
|
implement{}
|
|
gte_intinf_intinf
|
|
{i,j} (x, y) = let
|
|
//
|
|
val sgn = $GMP.mpz_cmp_mpz (!(x.2), !(y.2))
|
|
val ans = (if sgn >= 0 then true else false): bool
|
|
//
|
|
in
|
|
$UN.cast{bool(i >= j)}(sgn)
|
|
end // end of [gte_intinf_intinf]
|
|
|
|
(* ****** ****** *)
|
|
|
|
implement{}
|
|
eq_intinf_int
|
|
{i,j} (x, y) = let
|
|
//
|
|
val sgn = $GMP.mpz_cmp_int (!(x.2), y)
|
|
val ans = (if sgn = 0 then true else false): bool
|
|
//
|
|
in
|
|
$UN.cast{bool(i == j)}(sgn)
|
|
end // end of [eq_intinf_int]
|
|
|
|
implement{}
|
|
eq_intinf_intinf
|
|
{i,j} (x, y) = let
|
|
//
|
|
val sgn = $GMP.mpz_cmp_mpz (!(x.2), !(y.2))
|
|
val ans = (if sgn = 0 then true else false): bool
|
|
//
|
|
in
|
|
$UN.cast{bool(i == j)}(sgn)
|
|
end // end of [eq_intinf_intinf]
|
|
|
|
(* ****** ****** *)
|
|
|
|
implement{}
|
|
neq_intinf_int
|
|
{i,j} (x, y) = let
|
|
//
|
|
val sgn = $GMP.mpz_cmp_int (!(x.2), y)
|
|
val ans = (if sgn != 0 then true else false): bool
|
|
//
|
|
in
|
|
$UN.cast{bool(i != j)}(sgn)
|
|
end // end of [neq_intinf_int]
|
|
|
|
implement{}
|
|
neq_intinf_intinf
|
|
{i,j} (x, y) = let
|
|
//
|
|
val sgn = $GMP.mpz_cmp_mpz (!(x.2), !(y.2))
|
|
val ans = (if sgn != 0 then true else false): bool
|
|
//
|
|
in
|
|
$UN.cast{bool(i != j)}(sgn)
|
|
end // end of [neq_intinf_intinf]
|
|
|
|
(* ****** ****** *)
|
|
|
|
implement{}
|
|
compare_intinf_int
|
|
{i,j} (x, y) = let
|
|
//
|
|
val sgn = $GMP.mpz_cmp_int (!(x.2), y)
|
|
val sgn = (if sgn < 0 then ~1 else (if sgn > 0 then 1 else 0)): int
|
|
//
|
|
in
|
|
$UN.cast{int(sgn(i-j))}(sgn)
|
|
end // end of [compare_intinf_int]
|
|
|
|
implement{}
|
|
compare_int_intinf
|
|
{i,j} (x, y) = let
|
|
//
|
|
val sgn = $GMP.mpz_cmp_int (!(y.2), x)
|
|
val sgn = (if sgn > 0 then ~1 else (if sgn < 0 then 1 else 0)): int
|
|
//
|
|
in
|
|
$UN.cast{int(sgn(i-j))}(sgn)
|
|
end // end of [compare_int_intinf]
|
|
|
|
implement{}
|
|
compare_intinf_intinf
|
|
{i,j} (x, y) = let
|
|
//
|
|
val sgn = $GMP.mpz_cmp_mpz (!(x.2), !(y.2))
|
|
val sgn = (if sgn < 0 then ~1 else (if sgn > 0 then 1 else 0)): int
|
|
//
|
|
in
|
|
$UN.cast{int(sgn(i-j))}(sgn)
|
|
end // end of [compare_intinf_intinf]
|
|
|
|
(* ****** ****** *)
|
|
|
|
implement{}
|
|
pow_intinf_int
|
|
(base, exp) = r where
|
|
{
|
|
//
|
|
val r = ptr_alloc<mpz> ()
|
|
val () = $GMP.mpz_init (!(r.2))
|
|
val () = $GMP.mpz_pow_uint (!(r.2), !(base.2), i2u(exp))
|
|
//
|
|
} (* end of [pow_intinf_int] *)
|
|
|
|
(* ****** ****** *)
|
|
|
|
end // end of [local]
|
|
|
|
(* ****** ****** *)
|
|
|
|
implement{}
|
|
print_intinf (x) = fprint_intinf (stdout_ref, x)
|
|
implement{}
|
|
prerr_intinf (x) = fprint_intinf (stderr_ref, x)
|
|
implement{}
|
|
fprint_intinf (out, x) = fprint_intinf_base (out, x, 10(*base*))
|
|
|
|
(* ****** ****** *)
|
|
|
|
(* end of [intinf_vt.dats] *)
|