Int64 (3)
NAME
Int64 - 64-bit integers.Module
Module Int64Documentation
Module
Int64
:
sig end
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 2^{64
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
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. 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
:
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)
.
If
y = 0
,
Int64.rem x y
raises
Division_by_zero
.
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, 2^{63 - 1.
val min_int
:
int64
The smallest representable 64-bit integer, -2^{63.
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 2^{63, i.e. the high-order bit is lost
during the conversion. On 32-bit platforms, the 64-bit integer
is taken modulo 2^{31, 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 2^{32, 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 2^{32. 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, or if the integer represented
exceeds the range of integers representable in type
int64
.
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
.
type t
=
int64
An alias for the type of 64-bit integers.
val compare
:
t -> t -> int
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
.
val equal
:
t -> t -> bool
The equal function for int64s.
Since
4.03.0