92 lines
3.8 KiB
OCaml
92 lines
3.8 KiB
OCaml
(***********************************************************************)
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(* *)
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(* OCaml *)
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(* *)
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(* Valerie Menissier-Morain, projet Cristal, INRIA Rocquencourt *)
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(* *)
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(* Copyright 1996 Institut National de Recherche en Informatique et *)
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(* en Automatique. All rights reserved. This file is distributed *)
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(* under the terms of the GNU Library General Public License, with *)
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(* the special exception on linking described in file ../../LICENSE. *)
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(* *)
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(***********************************************************************)
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(** Operation on rational numbers.
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This module is used to support the implementation of {!Num} and
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should not be called directly. *)
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open Nat
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open Big_int
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(* Rationals (type [ratio]) are arbitrary-precision rational numbers,
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plus the special elements [1/0] (infinity) and [0/0] (undefined).
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In constrast with numbers (type [num]), the special cases of
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small integers and big integers are not optimized specially. *)
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type ratio
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(**/**)
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val null_denominator : ratio -> bool
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val numerator_ratio : ratio -> big_int
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val denominator_ratio : ratio -> big_int
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val sign_ratio : ratio -> int
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val normalize_ratio : ratio -> ratio
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val cautious_normalize_ratio : ratio -> ratio
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val cautious_normalize_ratio_when_printing : ratio -> ratio
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val create_ratio : big_int -> big_int -> ratio (* assumes nothing *)
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val create_normalized_ratio : big_int -> big_int -> ratio
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(* assumes normalized argument *)
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val is_normalized_ratio : ratio -> bool
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val report_sign_ratio : ratio -> big_int -> big_int
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val abs_ratio : ratio -> ratio
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val is_integer_ratio : ratio -> bool
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val add_ratio : ratio -> ratio -> ratio
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val minus_ratio : ratio -> ratio
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val add_int_ratio : int -> ratio -> ratio
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val add_big_int_ratio : big_int -> ratio -> ratio
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val sub_ratio : ratio -> ratio -> ratio
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val mult_ratio : ratio -> ratio -> ratio
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val mult_int_ratio : int -> ratio -> ratio
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val mult_big_int_ratio : big_int -> ratio -> ratio
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val square_ratio : ratio -> ratio
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val inverse_ratio : ratio -> ratio
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val div_ratio : ratio -> ratio -> ratio
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val integer_ratio : ratio -> big_int
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val floor_ratio : ratio -> big_int
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val round_ratio : ratio -> big_int
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val ceiling_ratio : ratio -> big_int
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val eq_ratio : ratio -> ratio -> bool
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val compare_ratio : ratio -> ratio -> int
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val lt_ratio : ratio -> ratio -> bool
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val le_ratio : ratio -> ratio -> bool
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val gt_ratio : ratio -> ratio -> bool
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val ge_ratio : ratio -> ratio -> bool
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val max_ratio : ratio -> ratio -> ratio
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val min_ratio : ratio -> ratio -> ratio
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val eq_big_int_ratio : big_int -> ratio -> bool
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val compare_big_int_ratio : big_int -> ratio -> int
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val lt_big_int_ratio : big_int -> ratio -> bool
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val le_big_int_ratio : big_int -> ratio -> bool
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val gt_big_int_ratio : big_int -> ratio -> bool
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val ge_big_int_ratio : big_int -> ratio -> bool
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val int_of_ratio : ratio -> int
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val ratio_of_int : int -> ratio
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val ratio_of_nat : nat -> ratio
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val nat_of_ratio : ratio -> nat
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val ratio_of_big_int : big_int -> ratio
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val big_int_of_ratio : ratio -> big_int
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val div_int_ratio : int -> ratio -> ratio
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val div_ratio_int : ratio -> int -> ratio
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val div_big_int_ratio : big_int -> ratio -> ratio
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val div_ratio_big_int : ratio -> big_int -> ratio
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val approx_ratio_fix : int -> ratio -> string
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val approx_ratio_exp : int -> ratio -> string
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val float_of_rational_string : ratio -> string
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val string_of_ratio : ratio -> string
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val ratio_of_string : string -> ratio
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val float_of_ratio : ratio -> float
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val power_ratio_positive_int : ratio -> int -> ratio
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val power_ratio_positive_big_int : ratio -> big_int -> ratio
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