/usr/share/doc/ats-lang-anairiats-examples/examples/MISC/Twentyfour/rational.sats is in ats-lang-anairiats-examples 0.2.5-0ubuntu1.
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//
// interface for some operations on rational numbers
//
// author: Hongwei Xi (hwxi AT cs DOT bu DOT edu)
//
*)
(* ****** ****** *)
//
// assume int_t: t@ype
// assume rat_t: t@ype
// the header file for rational
//
(* ****** ****** *)
abst@ype int_t = int
abst@ype rat_t = @{ numer= int_t, denom= int_t }
(* ****** ****** *)
//
// HX: for testing, please do not change 'val' to 'fun'
//
(* ****** ****** *)
val int_make_int0 : int -<> int_t
val rat_make_int_int : (int_t, int_t) -<!exn> rat_t
val rat_make_int : int_t -<> rat_t
val rat_zero : rat_t and rat_one : rat_t
val rat_numerator: rat_t -<> int_t
val rat_denominator : rat_t -<> int_t
(* ****** ****** *)
exception DivisionByZeroException of ()
(* ****** ****** *)
val abs_rat : rat_t -<> rat_t
overload abs with abs_rat
val neg_rat : rat_t -<> rat_t
overload ~ with neg_rat
val add_rat_rat : (rat_t, rat_t) -<> rat_t
overload + with add_rat_rat
val sub_rat_rat : (rat_t, rat_t) -<> rat_t
overload - with sub_rat_rat
val mul_rat_rat : (rat_t, rat_t) -<> rat_t
overload * with mul_rat_rat
val div_rat_rat : (rat_t, rat_t) -<!exn> rat_t
overload / with div_rat_rat
val recip_rat : rat_t -<!exn> rat_t
(* ****** ****** *)
val square_rat: rat_t -<> rat_t
val cube_rat: rat_t -<> rat_t
val power_rat: (rat_t, Nat) -<> rat_t
(* ****** ****** *)
val is_zero : rat_t -<> bool
val is_not_zero : rat_t -<> bool
val is_negative : rat_t -<> bool
val is_not_negative : rat_t -<> bool
val is_positive : rat_t -<> bool
val is_not_positive : rat_t -<> bool
(* ****** ****** *)
val lt_rat_rat : (rat_t, rat_t) -<> bool
val lte_rat_rat : (rat_t, rat_t) -<> bool
val gt_rat_rat : (rat_t, rat_t) -<> bool
val gte_rat_rat : (rat_t, rat_t) -<> bool
overload < with lt_rat_rat
overload <= with lte_rat_rat
overload > with gt_rat_rat
overload >= with gte_rat_rat
val eq_rat_rat : (rat_t, rat_t) -<> bool
val neq_rat_rat : (rat_t, rat_t) -<> bool
overload = with eq_rat_rat
overload <> with neq_rat_rat
val compare_rat_rat: (rat_t, rat_t) -<> Sgn
overload compare with compare_rat_rat
val max_rat_rat : (rat_t, rat_t) -<> rat_t
and min_rat_rat : (rat_t, rat_t) -<> rat_t
overload max with max_rat_rat
overload min with min_rat_rat
(* ****** ****** *)
val tostring_rat : rat_t -<> string
overload tostring with tostring_rat
val fprint_rat: fprint_t0ype_type rat_t
overload fprint with fprint_rat
val print_rat : rat_t -<!exnref> void
val prerr_rat : rat_t -<!exnref> void
overload print with print_rat
overload prerr with prerr_rat
(* ****** ****** *)
(* end of [rational.sats] *)
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