This module provides operations on the type int64 of signed 64-bit integers. Unlike the built-in int type, the type int64 is guaranteed to be exactly 64-bit wide on all platforms. All arithmetic operations over int64 are taken modulo 2⁶⁴.

The type int64 is supported on all 64-bit platforms, as well as on all 32-bit platforms for which the C compiler supports 64-bit arithmetic. On 32-bit platforms without support for 64-bit arithmetic, all functions in this module raise an Invalid_argument exception.

Performance notice: values of type int64 occupy more memory space than values of type int, and arithmetic operations on int64 are generally slower than those on int. Use int64 only when the application requires exact 64-bit arithmetic.

val zero : int64
val one : int64
val minus_one : int64

The 64-bit integers 0, 1, -1.

val neg : int64 -> int64

Unary negation.

val add : int64 -> int64 -> int64

Addition.

val sub : int64 -> int64 -> int64

Subtraction.

val mul : int64 -> int64 -> int64

Multiplication.

val div : int64 -> int64 -> int64

Integer division. Raise Division_by_zero if the second argument is zero.

val rem : int64 -> int64 -> int64

Integer remainder. If x >= 0 and y > 0, the result of Int64.rem x y satisfies the following properties: 0 <= Int64.rem x y < y and x = Int64.add (Int64.mul (Int64.div x y) y) (Int64.rem x y). If y = 0, Int64.rem x y raises Division_by_zero. If x < 0 or y < 0, the result of Int64.rem x y is not specified and depends on the platform.

val succ : int64 -> int64

Successor. Int64.succ x is Int64.add x Int64.one.

val pred : int64 -> int64

Predecessor. Int64.pred x is Int64.sub x Int64.one.

val abs : int64 -> int64

Return the absolute value of its argument.

val max_int : int64

The greatest representable 64-bit integer, 2⁶³ - 1.

val min_int : int64

The smallest representable 64-bit integer, -2⁶³.

val logand : int64 -> int64 -> int64

Bitwise logical and.

val logor : int64 -> int64 -> int64

Bitwise logical or.

val logxor : int64 -> int64 -> int64

Bitwise logical exclusive or.

val lognot : int64 -> int64

Bitwise logical negation

val shift_left : int64 -> int -> int64

Int64.shift_left x y shifts x to the left by y bits. The result is unspecified if y < 0 or y >= 64.

val shift_right : int64 -> int -> int64

Int64.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 >= 64.

val shift_right_logical : int64 -> int -> int64

Int64.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 >= 64.

val of_int : int -> int64

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

val to_int : int64 -> int

Convert the given 64-bit integer (type int64) to an integer (type int). On 64-bit platforms, the 64-bit integer is taken modulo 2⁶³, i.e. the high-order bit is lost during the conversion. On 32-bit platforms, the 64-bit integer is taken modulo 2³¹, i.e. the top 33 bits are lost during the conversion.

val of_float : float -> int64

Convert the given floating-point number to a 64-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 Int64.min_int, Int64.max_int.

val to_float : int64 -> float

Convert the given 64-bit integer to a floating-point number.

val of_int32 : int32 -> int64

Convert the given 32-bit integer (type int32) to a 64-bit integer (type int64).

val to_int32 : int64 -> int32

Convert the given 64-bit integer (type int64) to a 32-bit integer (type int32). The 64-bit integer is taken modulo 2³², i.e. the top 32 bits are lost during the conversion.

val of_nativeint : nativeint -> int64

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

val to_nativeint : int64 -> nativeint

Convert the given 64-bit integer (type int64) to a native integer. On 32-bit platforms, the 64-bit integer is taken modulo 2³². On 64-bit platforms, the conversion is exact.

val of_string : string -> int64

Convert the given string to a 64-bit 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. Raise Failure "int_of_string" if the given string is not a valid representation of an integer.

val to_string : int64 -> string

Return the string representation of its argument, in decimal.

val format : string -> int64 -> string

Int64.format fmt n return the string representation of the 64-bit integer n in the format specified by fmt. fmt is a Printf-style format containing exactly one 0, 0, 0, 0, 0 or 0 conversion specification. See the documentation of the Printf module for more information,

val bits_of_float : float -> int64

Return the internal representation of the given float according to the IEEE 754 floating-point ``double format'' bit layout. Bit 63 of the result represents the sign of the float; bits 62 to 52 represent the (biased) exponent; bits 51 to 0 represent the mantissa.

val float_of_bits : int64 -> float

Return the floating-point number whose internal representation, according to the IEEE 754 floating-point ``double format'' bit layout, is the given int64.