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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.
Literals for 64-bit integers are suffixed by L:
let zero: int64 = 0L
let one: int64 = 1L
let m_one: int64 = -1L
Same as div
, except that arguments and result are interpreted as unsigned 64-bit integers.
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)
. If y = 0
, Int64.rem x y
raises Division_by_zero
.
Same as rem
, except that arguments and result are interpreted as unsigned 64-bit integers.
abs x
is the absolute value of x
. On min_int
this is min_int
itself and thus remains negative.
Int64.shift_left x y
shifts x
to the left by y
bits. The result is unspecified if y < 0
or y >= 64
.
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
.
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
.
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.
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
.
Convert the given floating-point number to a 64-bit integer, discarding the fractional part (truncate towards 0). If the truncated floating-point number is outside the range [Int64.min_int
, Int64.max_int
], no exception is raised, and an unspecified, platform-dependent integer is returned.
Convert the given 32-bit integer (type int32
) to a 64-bit integer (type int64
).
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.
Convert the given native integer (type nativeint
) to a 64-bit integer (type int64
).
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.
Convert the given string to a 64-bit integer. 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*Int64.max_int+1]
. If the input exceeds Int64.max_int
it is converted to the signed integer Int64.min_int + input - Int64.max_int - 1
.
The _
(underscore) character can appear anywhere in the string and is ignored.
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.
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 Stdlib.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
.
Same as compare
, except that arguments are interpreted as unsigned 64-bit integers.