package containers

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package containers
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Helpers for 32-bit integers.

This module provides operations on the type int32 of signed 32-bit integers. Unlike the built-in int type, the type int32 is guaranteed to be exactly 32-bit wide on all platforms. All arithmetic operations over int32 are taken modulo 232.

Performance notice: values of type int32 occupy more memory space than values of type int, and arithmetic operations on int32 are generally slower than those on int. Use int32 only when the application requires exact 32-bit arithmetic.

  • since 2.1
val zero : int32

The 32-bit integer 0.

val one : int32

The 32-bit integer 1.

val minus_one : int32

The 32-bit integer -1.

val neg : int32 -> int32

Unary negation.

val add : int32 -> int32 -> int32

Addition.

val sub : int32 -> int32 -> int32

Subtraction.

val mul : int32 -> int32 -> int32

Multiplication.

val div : int32 -> int32 -> int32

Integer division. Raise 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 rem : int32 -> int32 -> int32

Integer remainder. If y is not zero, the result of Int32.rem x y satisfies the following property: x = Int32.add (Int32.mul (Int32.div x y) y) (Int32.rem x y). If y = 0, Int32.rem x y raises Division_by_zero.

val succ : int32 -> int32

Successor. Int32.succ x is Int32.add x Int32.one.

val pred : int32 -> int32

Predecessor. Int32.pred x is Int32.sub x Int32.one.

val abs : int32 -> int32

Return the absolute value of its argument.

val max_int : int32

The greatest representable 32-bit integer, 231 - 1.

val min_int : int32

The smallest representable 32-bit integer, -231.

val logand : int32 -> int32 -> int32

Bitwise logical and.

val logor : int32 -> int32 -> int32

Bitwise logical or.

val logxor : int32 -> int32 -> int32

Bitwise logical exclusive or.

val lognot : int32 -> int32

Bitwise logical negation

val shift_left : int32 -> int -> int32

Int32.shift_left x y shifts x to the left by y bits. The result is unspecified if y < 0 or y >= 32.

val shift_right : int32 -> int -> int32

Int32.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 >= 32.

val shift_right_logical : int32 -> int -> int32

Int32.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 >= 32.

val of_int : int -> int32

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

val to_int : int32 -> int

Convert the given 32-bit integer (type int32) to an integer (type int). On 32-bit platforms, the 32-bit integer is taken modulo 231, i.e. the high-order bit is lost during the conversion. On 64-bit platforms, the conversion is exact.

val of_float : float -> int32

Convert the given floating-point number to a 32-bit integer, discarding the fractional part (truncate towards 0). The result of the conversion is undefined if, after truncation, the number is outside the range [Int32.min_int, Int32.max_int].

val to_float : int32 -> float

Convert the given 32-bit integer to a floating-point number.

val to_string : int32 -> string

Return the string representation of its argument, in signed decimal.

val bits_of_float : float -> int32

Return the internal representation of the given float according to the IEEE 754 floating-point 'single format' bit layout. Bit 31 of the result represents the sign of the float; bits 30 to 23 represent the (biased) exponent; bits 22 to 0 represent the mantissa.

val float_of_bits : int32 -> float

Return the floating-point number whose internal representation, according to the IEEE 754 floating-point 'single format' bit layout, is the given int32.

type t = int32

An alias for the type of 32-bit integers.

val compare : t -> t -> int

The comparison function for 32-bit integers, with the same specification as Pervasives.compare. Along with the type t, this function compare allows the module Int32 to be passed as argument to the functors Set.Make and Map.Make.

val equal : t -> t -> bool

The equal function for int32s.

  • since 4.03.0
val min : t -> t -> t

min x y returns the minimum of the two integers x and y.

  • since 3.0
val max : t -> t -> t

max x y returns the maximum of the two integers x and y.

  • since 3.0
val hash : t -> int

hash x computes the hash of x. Like Stdlib.abs(to_intx).

val sign : t -> int

sign x return 0 if x = 0, -1 if x < 0 and 1 if x > 0. Same as compare x zero.

  • since 3.0
val pow : t -> t -> t

pow base exponent returns base raised to the power of exponent. pow x y = x^y for positive integers x and y. Raises Invalid_argument if x = y = 0 or y < 0.

  • since 0.11
val popcount : t -> int

Number of bits set to 1.

  • since 3.9
val floor_div : t -> t -> t

floor_div x n is integer division rounding towards negative infinity. It satisfies x = m * floor_div x n + rem x n.

  • since 3.0
type 'a printer = Format.formatter -> 'a -> unit
type 'a random_gen = Random.State.t -> 'a
type 'a iter = ('a -> unit) -> unit
val range_by : step:t -> t -> t -> t iter

range_by ~step i j iterates on integers from i to j included, where the difference between successive elements is step. Use a negative step for a decreasing list.

  • raises Invalid_argument

    if step=0.

  • since 3.0
val range : t -> t -> t iter

range i j iterates on integers from i to j included . It works both for decreasing and increasing ranges.

  • since 3.0
val range' : t -> t -> t iter

range' i j is like range but the second bound j is excluded. For instance range' 0 5 = Iter.of_list [0;1;2;3;4].

  • since 3.0
val random : t -> t random_gen
val random_small : t random_gen
val random_range : t -> t -> t random_gen

Conversion

val of_string : string -> t option

of_string s is the safe version of of_string_exn. Like of_string_exn, but return None instead of raising.

val of_string_opt : string -> t option

of_string_opt s is an alias to of_string.

val of_string_exn : string -> t

of_string_exn s converts the given string s into a 32-bit integer. Alias to Int32.of_string. The string is read in decimal (by default, or if the string begins with 0u) or in hexadecimal, octal or binary if the string begins with 0x, 0o or 0b respectively.

The 0u prefix reads the input as an unsigned integer in the range [0, 2*CCInt32.max_int+1]. If the input exceeds CCInt32.max_int it is converted to the signed integer CCInt32.min_int + input - CCInt32.max_int - 1.

The _ (underscore) character can appear anywhere in the string and is ignored. Raise Failure "Int32.of_string" 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 int32.

val to_string_binary : t -> string

to_string_binary x returns the string representation of the integer x, in binary.

  • since 3.0

Printing

val pp : t printer

pp ppf x prints the integer x on ppf.

  • since 3.0
val pp_binary : t printer

pp_binary ppf x prints x on ppf. Print as "0b00101010".

  • since 3.0

Infix Operators

module Infix : sig ... end
include module type of Infix
val (+) : t -> t -> t

x + y is the sum of x and y. Addition.

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

x - y is the difference of x and y. Subtraction.

val (~-) : t -> t

~- x is the negation of x. Unary negation.

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

x * y is the product of x and y. Multiplication.

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

x / y is the integer quotient of x and y. Integer division. Raise Division_by_zero if the second argument y is zero. This division rounds the real quotient of its arguments towards zero, as specified for Stdlib.(/).

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

x mod y is the integer remainder of x / y. If y <> zero, the result of x mod y satisfies the following properties: zero <= x mod y < abs y and x = ((x / y) * y) + (x mod y). If y = 0, x mod y raises Division_by_zero.

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

Alias to pow

  • since 3.0
val (--) : t -> t -> t iter

Alias to range.

  • since 3.0
val (--^) : t -> t -> t iter

Alias to range'.

  • since 3.0
val (land) : t -> t -> t

x land y is the bitwise logical and of x and y.

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

x lor y is the bitwise logical or of x and y.

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

x lxor y is the bitwise logical exclusive or of x and y.

val lnot : t -> t

lnot x is the bitwise logical negation of x (the bits of x are inverted).

val (lsl) : t -> int -> t

x lsl y shifts x to the left by y bits, filling in with zeroes. The result is unspecified if y < 0 or y >= 32.

val (lsr) : t -> int -> t

x lsr 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 >= 32.

val (asr) : t -> int -> t

x asr 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 >= 32.

val (=) : t -> t -> bool
val (<>) : t -> t -> bool
val (>) : t -> t -> bool
val (>=) : t -> t -> bool
val (<=) : t -> t -> bool
val (<) : t -> t -> bool
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