gnumber.out

(***********************************************************************)
(*                                                                     *)
(*                         Applied Type System                         *)
(*                                                                     *)
(***********************************************************************)
(*
** ATS/Postiats - Unleashing the Potential of Types!
** Copyright (C) 2010-2015 Hongwei Xi, ATS Trustful Software, Inc.
** All rights reserved
**
** ATS is free software;  you can  redistribute it and/or modify it under
** the terms of  the GNU GENERAL PUBLIC LICENSE (GPL) as published by the
** Free Software Foundation; either version 3, or (at  your  option)  any
** later version.
**
** ATS is distributed in the hope that it will be useful, but WITHOUT ANY
** WARRANTY; without  even  the  implied  warranty  of MERCHANTABILITY or
** FITNESS FOR A PARTICULAR PURPOSE.  See the  GNU General Public License
** for more details.
**
** You  should  have  received  a  copy of the GNU General Public License
** along  with  ATS;  see the  file COPYING.  If not, please write to the
** Free Software Foundation,  51 Franklin Street, Fifth Floor, Boston, MA
** 02110-1301, USA.
*)
(* ****** ****** *)
(*
** Source:
** $PATSHOME/prelude/SATS/CODEGEN/gnumber.atxt
** Time of generation: Thu Jan 11 11:00:07 2018
*)
(* ****** ****** *)
(* Author: Hongwei Xi *)
(* Authoremail: hwxi AT cs DOT bu DOT edu *)
(* Start time: September, 2011 *)
(* ****** ****** *)
(* Author: Brandon Barker *)
(* Authoremail: brandon.barker AT gmail DOT com *)
(* Start time: July, 2013 *)
(* ****** ****** *)
//
// HX: for unindexed gnumber types
//
(* ****** ****** *)
sortdef tk = tkind

(* ****** ****** *)
typedef SHR(a: type) = a

// for commenting purpose
typedef NSH(a: type) = a

// for commenting purpose
(* ****** ****** *)
abstype fprecision_prop(a1: t0p, a2: t0p)

propdef fprecision (a1 : t0p, a2 : t0p) = fprecision_prop(a1, a2)

praxi fprecision_float() : fprecision(float, float)

praxi fprecision_double() : fprecision(double, double)

praxi fprecision_ldouble() : fprecision(ldouble, ldouble)

(* ****** ****** *)
//
// HX: generic number operations
//
(* ****** ****** *)
//
//
fun {a:t0p} gnumber_int (x : int) :<> a

fun {a:t0p} gnumber_double (x : double) :<> a

//
(* ****** ****** *)
fun {a:t0p} gabs_val (x : a) :<> a

fun {a:t0p} gneg_val (x : a) :<> a

fun {a:t0p} gsucc_val (x : a) :<> a

fun {a:t0p} gpred_val (x : a) :<> a

fun {a:t0p} grecip_val (x : a) :<!exn> a

(* ****** ****** *)
fun {a:t0p} gadd_val_val (x : a, y : a) :<> a

fun {a:t0p} gsub_val_val (x : a, y : a) :<> a

fun {a:t0p} gmul_val_val (x : a, y : a) :<> a

fun {a:t0p} gdiv_val_val (x : a, y : a) :<!exn> a

fun {a:t0p} gmod_val_val (x : a, y : a) :<!exn> a

(* ****** ****** *)
//
fun {a:t0p} gadd_val_int (x : a, y : int) :<> a

fun {a:t0p} gsub_val_int (x : a, y : int) :<> a

//
fun {a:t0p} gmul_int_val (x : int, y : a) :<> a

fun {a:t0p} gmul_val_int (x : a, y : int) :<> a

//
fun {a:t0p} gdiv_int_val (x : int, y : a) :<!exn> a

fun {a:t0p} gdiv_val_int (x : a, y : int) :<!exn> a

fun {a:t0p} gmod_val_int (x : a, y : int) :<!exn> a

//
(* ****** ****** *)
fun {a:t0p} gsqrt_val (x : a) :<!exn> a

(* ****** ****** *)
fun {a:t0p} gconjugate_val (x : a) :<> a

(* ****** ****** *)
fun {a:t0p} gpow_int_val (n : intGte(0), x : a) :<> a

(* ****** ****** *)
(* end of [gnumber.sats] *)