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87 lines
1.7 KiB
OCaml
87 lines
1.7 KiB
OCaml
module type NUM = sig
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type t
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val zero : t
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val one : t
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val minus_one : t
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val abs : t -> t
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val sign : t -> int
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val of_int : int -> t
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include Sidekick_sigs.EQ with type t := t
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include Sidekick_sigs.ORD with type t := t
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include Sidekick_sigs.HASH with type t := t
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include Sidekick_sigs.PRINT with type t := t
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val ( + ) : t -> t -> t
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val ( - ) : t -> t -> t
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val ( * ) : t -> t -> t
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val ( ~- ) : t -> t
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val neg : t -> t
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val min : t -> t -> t
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val max : t -> t -> t
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val ( = ) : t -> t -> bool
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val ( <> ) : t -> t -> bool
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val ( > ) : t -> t -> bool
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val ( >= ) : t -> t -> bool
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val ( < ) : t -> t -> bool
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val ( <= ) : t -> t -> bool
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end
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module type INT = sig
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include NUM
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val succ : t -> t
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val pred : t -> t
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val gcd : t -> t -> t
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end
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module type RATIONAL = sig
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include NUM
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type bigint
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val ( / ) : t -> t -> t
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val num : t -> bigint
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val denum : t -> bigint
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val infinity : t
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(** +infinity *)
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val minus_infinity : t
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val of_bigint : bigint -> t
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val is_real : t -> bool
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(** A proper real, not nan/infinity *)
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val is_int : t -> bool
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(** Is this a proper integer? *)
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val as_int : t -> bigint option
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(** Convert to an integer if it's one, return [None] otherwise *)
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val floor : t -> bigint
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(** Integer equal or below *)
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val ceil : t -> bigint
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(** Integer equal or above *)
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val pp_approx : int -> Format.formatter -> t -> unit
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(** Pretty print rational with given amount of precision
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(for example as a floating point number) *)
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end
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module type INT_FULL = sig
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include INT
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val sqrt : t -> t
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val divexact : t -> t -> t
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val ( / ) : t -> t -> t
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val ediv : t -> t -> t
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(** Euclidian division *)
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val rem : t -> t -> t
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val probab_prime : t -> bool
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val pow : t -> int -> t
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end
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