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64-bit integers.
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.
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.
Any integer literal followed by L is taken to be an int64. For instance, 1L is Int64.one.
This module extends Stdlib's Int64 module, go there for documentation on the rest of the functions and types.
author Xavier Leroy (base module)
author Gabriel Scherer
author David Teller
type t = int64
val zero : int64
The 64-bit integer 0.
val one : int64
The 64-bit integer 1.
val minus_one : int64
The 64-bit integer -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. This division rounds the real quotient of its arguments towards zero, as specified for Pervasives.(/).
Same as div, except that arguments and result are interpreted as unsigned 64-bit integers.
since 2.10.0 and OCaml 4.08.0
val rem : int64 ->int64 -> int64
Integer remainder. If y is not zero, the result of Int64.rem x y satisfies the following property: x = Int64.add (Int64.mul (Int64.div x y) y) (Int64.rem x y).
Same as rem, except that arguments and result are interpreted as unsigned 64-bit integers.
since 2.10.0 and OCaml 4.08.0
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.
5L -- 10L is the enumeration 5L,6L,7L,8L,9L,10L. 10L -- 5L is the enumeration 10L,9L,8L,7L,6L,5L.
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 unsigned_to_int : int64 ->int option
Same as 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 -> 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.
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 int64.
val of_string_opt : string ->int64 option
Same as of_string, but return None instead of raising.
since 2.7.0
val to_string : int64 -> string
Return the string representation of its argument, in decimal.
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.
The comparison function for 64-bit integers, with the same specification as Pervasives.compare. Along with the type t, this function compare allows the module Int64 to be passed as argument to the functors Set.Make and Map.Make.