Module BatNativeint

module BatNativeint: sig .. end

Processor-native integers.

This module provides operations on the type nativeint of signed 32-bit integers (on 32-bit platforms) or signed 64-bit integers (on 64-bit platforms). This integer type has exactly the same width as that of a long integer type in the C compiler. All arithmetic operations over nativeint are taken modulo 2³² or 2⁶⁴ depending on the word size of the architecture.

Performance notice: values of type nativeint occupy more memory space than values of type int, and arithmetic operations on nativeint are generally slower than those on int. Use nativeint only when the application requires the extra bit of precision over the int type.

Any integer literal followed by n is taken to be a nativeint. For instance, 1n is Native_int.one.

This module extends Stdlib's Nativeint module, go there for documentation on the rest of the functions and types.

Author(s): Xavier Leroy (base module), Gabriel Scherer, David Teller

type t = nativeint

An alias for the type of native integers.

val zero : nativeint

The native integer 0.

val one : nativeint

The native integer 1.

val minus_one : nativeint

The native integer -1.

val neg : nativeint -> nativeint

Unary negation.

val add : nativeint -> nativeint -> nativeint

Addition.

val sub : nativeint -> nativeint -> nativeint

Subtraction.

val mul : nativeint -> nativeint -> nativeint

Multiplication.

val div : nativeint -> nativeint -> nativeint

Integer division.

Raises Division_by_zero if the second argument is zero. This division rounds the real quotient of its arguments towards zero, as specified for Pervasives.(/).

val unsigned_div : nativeint -> nativeint -> nativeint

Same as BatNativeint.div, except that arguments and result are interpreted as unsigned native integers.

Since 2.10.0 and OCaml 4.08.0

val rem : nativeint -> nativeint -> nativeint

Integer remainder. If y is not zero, the result of Nativeint.rem x y satisfies the following properties: Nativeint.zero <= Nativeint.rem x y < Nativeint.abs y and x = Nativeint.add (Nativeint.mul (Nativeint.div x y) y) (Nativeint.rem x y). If y = 0, Nativeint.rem x y raises Division_by_zero.

val unsigned_rem : nativeint -> nativeint -> nativeint

Same as BatNativeint.rem, except that arguments and result are interpreted as unsigned native integers.

Since 2.10.0 and OCaml 4.08.0

val succ : nativeint -> nativeint

Successor. Nativeint.succ x is Nativeint.add x Nativeint.one.

val pred : nativeint -> nativeint

Predecessor. Nativeint.pred x is Nativeint.sub x Nativeint.one.

val abs : nativeint -> nativeint

Return the absolute value of its argument.

val size : int

The size in bits of a native integer. This is equal to 32 on a 32-bit platform and to 64 on a 64-bit platform.

val max_int : nativeint

The greatest representable native integer, either 2³¹ - 1 on a 32-bit platform, or 2⁶³ - 1 on a 64-bit platform.

val min_int : nativeint

The greatest representable native integer, either -2³¹ on a 32-bit platform, or -2⁶³ on a 64-bit platform.

val logand : nativeint -> nativeint -> nativeint

Bitwise logical and.

val logor : nativeint -> nativeint -> nativeint

Bitwise logical or.

val logxor : nativeint -> nativeint -> nativeint

Bitwise logical exclusive or.

val lognot : nativeint -> nativeint

Bitwise logical negation

val shift_left : nativeint -> int -> nativeint

Nativeint.shift_left x y shifts x to the left by y bits. The result is unspecified if y < 0 or y >= bitsize, where bitsize is 32 on a 32-bit platform and 64 on a 64-bit platform.

val shift_right : nativeint -> int -> nativeint

Nativeint.shift_right x y shifts x to the right by y bits. This is an arithmetic shift: the sign bit of x is replicated and inserted in the vacated bits. The result is unspecified if y < 0 or y >= bitsize.

val shift_right_logical : nativeint -> int -> nativeint

Nativeint.shift_right_logical x y shifts x to the right by y bits. This is a logical shift: zeroes are inserted in the vacated bits regardless of the sign of x. The result is unspecified if y < 0 or y >= bitsize.

val (--) : t -> t -> t BatEnum.t

Enumerate an interval.

5n -- 10n is the enumeration 5n,6n,7n,8n,9n,10n. 10n -- 5n is the empty enumeration

val (---) : t -> t -> t BatEnum.t

Enumerate an interval.

5n -- 10n is the enumeration 5n,6n,7n,8n,9n,10n. 10n -- 5n is the enumeration 10n,9n,8n,7n,6n,5n.

val of_int : int -> nativeint

Convert the given integer (type int) to a native integer (type nativeint).

val to_int : nativeint -> int

Convert the given native integer (type nativeint) to an integer (type int). The high-order bit is lost during the conversion.

val unsigned_to_int : nativeint -> int option

Same as BatNativeint.to_int, but interprets the argument as an unsigned integer. Returns None if the unsigned value of the argument cannot fit into an int.

Since 2.10.0 and OCaml 4.08.0

val of_float : float -> nativeint

Convert the given floating-point number to a native integer, discarding the fractional part (truncate towards 0). The result of the conversion is undefined if, after truncation, the number is outside the range [Nativeint.min_int, Nativeint.max_int].

val to_float : nativeint -> float

Convert the given native integer to a floating-point number.

val of_int32 : int32 -> nativeint

Convert the given 32-bit integer (type int32) to a native integer.

val to_int32 : nativeint -> int32

Convert the given native integer to a 32-bit integer (type int32). On 64-bit platforms, the 64-bit native integer is taken modulo 2³², i.e. the top 32 bits are lost. On 32-bit platforms, the conversion is exact.

val of_int64 : int64 -> nativeint

Convert the given 64-bit integer (type int64) to a native integer. On 32-bit platforms, the top 32 bits are lost.

val to_int64 : nativeint -> int64

Convert the given native integer to a 64-bit integer (type int64).

val of_string : string -> nativeint

Convert the given string to a native integer. The string is read in decimal (by default) or in hexadecimal, octal or binary if the string begins with 0x, 0o or 0b respectively.

Raises Failure if the given string is not a valid representation of an integer, or if the integer represented exceeds the range of integers representable in type nativeint.

val of_string_opt : string -> nativeint option

Same as of_string, but return None instead of raising.

Since 2.7.0

val to_string : nativeint -> string

Return the string representation of its argument, in decimal.

val compare : t -> t -> int

The comparison function for native integers, with the same specification as Pervasives.compare. Along with the type t, this function compare allows the module Nativeint to be passed as argument to the functors Set.Make and Map.Make.

val min : t -> t -> t

Return the smaller of the two.

Since 3.4.0

val max : t -> t -> t

Return the greater of the two.

Since 3.4.0

val unsigned_compare : t -> t -> int

Same as BatNativeint.compare, except that arguments are interpreted as unsigned native integers.

Since 2.10.0 and OCaml 4.08.0

val equal : t -> t -> bool

Equality function for 64-bit integers, useful for HashedType.

val ord : t -> t -> BatOrd.order

val modulo : nativeint -> nativeint -> nativeint

val pow : nativeint -> nativeint -> nativeint

val min_num : bounded

val max_num : bounded

val (+) : t -> t -> t

val (-) : t -> t -> t

val ( * ) : t -> t -> t

val (/) : t -> t -> t

val ( ** ) : t -> t -> t

val operations : t BatNumber.numeric

include BatNumber.Bounded

Submodules grouping all infix operators

module Infix: BatNumber.Infix  with type bat__infix_t = t

module Compare: BatNumber.Compare  with type bat__compare_t = t

Boilerplate code

Printing

val print : (t, 'a) BatIO.printer