.TH "Int64" 3o 2023-09-20 OCamldoc "OCaml library"
.SH NAME
Int64 \- 64-bit integers.
.SH Module
Module   Int64
.SH Documentation
.sp
Module
.BI "Int64"
 : 
.B sig end

.sp
64\-bit integers\&.
.sp
This module provides operations on the type 
.ft B
int64
.ft R
of
signed 64\-bit integers\&.  Unlike the built\-in 
.ft B
int
.ft R
type,
the type 
.ft B
int64
.ft R
is guaranteed to be exactly 64\-bit wide on all
platforms\&.  All arithmetic operations over 
.ft B
int64
.ft R
are taken
modulo 2^64
.sp
Performance notice: values of type 
.ft B
int64
.ft R
occupy more memory
space than values of type 
.ft B
int
.ft R
, and arithmetic operations on
.ft B
int64
.ft R
are generally slower than those on 
.ft B
int
.ft R
\&.  Use 
.ft B
int64
.ft R
only when the application requires exact 64\-bit arithmetic\&.
.sp
Literals for 64\-bit integers are suffixed by L:
.EX
.ft B
.br
\&      let zero: int64 = 0L
.br
\&      let one: int64 = 1L
.br
\&      let m_one: int64 = \-1L
.br
\&    
.ft R
.EE

.sp

.sp
.sp

.I val zero 
: 
.B int64
.sp
The 64\-bit integer 0\&.

.sp

.I val one 
: 
.B int64
.sp
The 64\-bit integer 1\&.

.sp

.I val minus_one 
: 
.B int64
.sp
The 64\-bit integer \-1\&.

.sp

.I val neg 
: 
.B int64 -> int64
.sp
Unary negation\&.

.sp

.I val add 
: 
.B int64 -> int64 -> int64
.sp
Addition\&.

.sp

.I val sub 
: 
.B int64 -> int64 -> int64
.sp
Subtraction\&.

.sp

.I val mul 
: 
.B int64 -> int64 -> int64
.sp
Multiplication\&.

.sp

.I val div 
: 
.B int64 -> int64 -> int64
.sp
Integer division\&.

.sp
.B "Raises Division_by_zero"
if the second
argument is zero\&.  This division rounds the real quotient of
its arguments towards zero, as specified for 
.ft B
(/)
.ft R
\&.

.sp

.I val unsigned_div 
: 
.B int64 -> int64 -> int64
.sp
Same as 
.ft B
Int64\&.div
.ft R
, except that arguments and result are interpreted as     unsigned 64\-bit integers\&.

.sp
.B "Since"
4.08.0

.sp

.I val rem 
: 
.B int64 -> int64 -> int64
.sp
Integer remainder\&.  If 
.ft B
y
.ft R
is not zero, the result
of 
.ft B
Int64\&.rem x y
.ft R
satisfies the following property:
.ft B
x = Int64\&.add (Int64\&.mul (Int64\&.div x y) y) (Int64\&.rem x y)
.ft R
\&.
If 
.ft B
y = 0
.ft R
, 
.ft B
Int64\&.rem x y
.ft R
raises 
.ft B
Division_by_zero
.ft R
\&.

.sp

.I val unsigned_rem 
: 
.B int64 -> int64 -> int64
.sp
Same as 
.ft B
Int64\&.rem
.ft R
, except that arguments and result are interpreted as     unsigned 64\-bit integers\&.

.sp
.B "Since"
4.08.0

.sp

.I val succ 
: 
.B int64 -> int64
.sp
Successor\&.  
.ft B
Int64\&.succ x
.ft R
is 
.ft B
Int64\&.add x Int64\&.one
.ft R
\&.

.sp

.I val pred 
: 
.B int64 -> int64
.sp
Predecessor\&.  
.ft B
Int64\&.pred x
.ft R
is 
.ft B
Int64\&.sub x Int64\&.one
.ft R
\&.

.sp

.I val abs 
: 
.B int64 -> int64
.sp
Return the absolute value of its argument\&.

.sp

.I val max_int 
: 
.B int64
.sp
The greatest representable 64\-bit integer, 2^63 \- 1\&.

.sp

.I val min_int 
: 
.B int64
.sp
The smallest representable 64\-bit integer, \-2^63\&.

.sp

.I val logand 
: 
.B int64 -> int64 -> int64
.sp
Bitwise logical and\&.

.sp

.I val logor 
: 
.B int64 -> int64 -> int64
.sp
Bitwise logical or\&.

.sp

.I val logxor 
: 
.B int64 -> int64 -> int64
.sp
Bitwise logical exclusive or\&.

.sp

.I val lognot 
: 
.B int64 -> int64
.sp
Bitwise logical negation\&.

.sp

.I val shift_left 
: 
.B int64 -> int -> int64
.sp

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

.sp

.I val shift_right 
: 
.B int64 -> int -> int64
.sp

.ft B
Int64\&.shift_right x y
.ft R
shifts 
.ft B
x
.ft R
to the right by 
.ft B
y
.ft R
bits\&.
This is an arithmetic shift: the sign bit of 
.ft B
x
.ft R
is replicated
and inserted in the vacated bits\&.
The result is unspecified if 
.ft B
y < 0
.ft R
or 
.ft B
y >= 64
.ft R
\&.

.sp

.I val shift_right_logical 
: 
.B int64 -> int -> int64
.sp

.ft B
Int64\&.shift_right_logical x y
.ft R
shifts 
.ft B
x
.ft R
to the right by 
.ft B
y
.ft R
bits\&.
This is a logical shift: zeroes are inserted in the vacated bits
regardless of the sign of 
.ft B
x
.ft R
\&.
The result is unspecified if 
.ft B
y < 0
.ft R
or 
.ft B
y >= 64
.ft R
\&.

.sp

.I val of_int 
: 
.B int -> int64
.sp
Convert the given integer (type 
.ft B
int
.ft R
) to a 64\-bit integer
(type 
.ft B
int64
.ft R
)\&.

.sp

.I val to_int 
: 
.B int64 -> int
.sp
Convert the given 64\-bit integer (type 
.ft B
int64
.ft R
) to an
integer (type 
.ft B
int
.ft R
)\&.  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\&.

.sp

.I val unsigned_to_int 
: 
.B int64 -> int option
.sp
Same as 
.ft B
Int64\&.to_int
.ft R
, but interprets the argument as an unsigned integer\&.
Returns 
.ft B
None
.ft R
if the unsigned value of the argument cannot fit into an
.ft B
int
.ft R
\&.

.sp
.B "Since"
4.08.0

.sp

.I val of_float 
: 
.B float -> int64
.sp
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
[
.ft B
Int64\&.min_int
.ft R
, 
.ft B
Int64\&.max_int
.ft R
], no exception is raised, and
an unspecified, platform\-dependent integer is returned\&.

.sp

.I val to_float 
: 
.B int64 -> float
.sp
Convert the given 64\-bit integer to a floating\-point number\&.

.sp

.I val of_int32 
: 
.B int32 -> int64
.sp
Convert the given 32\-bit integer (type 
.ft B
int32
.ft R
)
to a 64\-bit integer (type 
.ft B
int64
.ft R
)\&.

.sp

.I val to_int32 
: 
.B int64 -> int32
.sp
Convert the given 64\-bit integer (type 
.ft B
int64
.ft R
) to a
32\-bit integer (type 
.ft B
int32
.ft R
)\&. The 64\-bit integer
is taken modulo 2^32, i\&.e\&. the top 32 bits are lost
during the conversion\&.

.sp

.I val of_nativeint 
: 
.B nativeint -> int64
.sp
Convert the given native integer (type 
.ft B
nativeint
.ft R
)
to a 64\-bit integer (type 
.ft B
int64
.ft R
)\&.

.sp

.I val to_nativeint 
: 
.B int64 -> nativeint
.sp
Convert the given 64\-bit integer (type 
.ft B
int64
.ft R
) 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\&.

.sp

.I val of_string 
: 
.B string -> int64
.sp
Convert the given string to a 64\-bit integer\&.
The string is read in decimal (by default, or if the string
begins with 
.ft B
0u
.ft R
) or in hexadecimal, octal or binary if the
string begins with 
.ft B
0x
.ft R
, 
.ft B
0o
.ft R
or 
.ft B
0b
.ft R
respectively\&.
.sp
The 
.ft B
0u
.ft R
prefix reads the input as an unsigned integer in the range
.ft B
[0, 2*Int64\&.max_int+1]
.ft R
\&.  If the input exceeds 
.ft B
Int64\&.max_int
.ft R
it is converted to the signed integer
.ft B
Int64\&.min_int + input \- Int64\&.max_int \- 1
.ft R
\&.
.sp
The 
.ft B
_
.ft R
(underscore) character can appear anywhere in the string
and is ignored\&.

.sp
.B "Raises Failure"
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 
.ft B
int64
.ft R
\&.

.sp

.I val of_string_opt 
: 
.B string -> int64 option
.sp
Same as 
.ft B
of_string
.ft R
, but return 
.ft B
None
.ft R
instead of raising\&.

.sp
.B "Since"
4.05

.sp

.I val to_string 
: 
.B int64 -> string
.sp
Return the string representation of its argument, in decimal\&.

.sp

.I val bits_of_float 
: 
.B float -> int64
.sp
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\&.

.sp

.I val float_of_bits 
: 
.B int64 -> float
.sp
Return the floating\-point number whose internal representation,
according to the IEEE 754 floating\-point \&'double format\&' bit layout,
is the given 
.ft B
int64
.ft R
\&.

.sp
.I type t 
= 
.B int64

.sp
An alias for the type of 64\-bit integers\&.

.sp

.I val compare 
: 
.B t -> t -> int
.sp
The comparison function for 64\-bit integers, with the same specification as
.ft B
compare
.ft R
\&.  Along with the type 
.ft B
t
.ft R
, this function 
.ft B
compare
.ft R
allows the module 
.ft B
Int64
.ft R
to be passed as argument to the functors
.ft B
Set\&.Make
.ft R
and 
.ft B
Map\&.Make
.ft R
\&.

.sp

.I val unsigned_compare 
: 
.B t -> t -> int
.sp
Same as 
.ft B
Int64\&.compare
.ft R
, except that arguments are interpreted as unsigned
64\-bit integers\&.

.sp
.B "Since"
4.08.0

.sp

.I val equal 
: 
.B t -> t -> bool
.sp
The equal function for int64s\&.

.sp
.B "Since"
4.03.0

.sp

.I val min 
: 
.B t -> t -> t
.sp
Return the smaller of the two arguments\&.

.sp
.B "Since"
4.13.0

.sp

.I val max 
: 
.B t -> t -> t
.sp
Return the greater of the two arguments\&.

.sp
.B "Since"
4.13.0

.sp