.TH "Int" 3o 2023-09-18 OCamldoc "OCaml library"
.SH NAME
Int \- Integer values.
.SH Module
Module   Int
.SH Documentation
.sp
Module
.BI "Int"
 : 
.B sig end

.sp
Integer values\&.
.sp
Integers are 
.ft B
Sys\&.int_size
.ft R
bits wide and use two\&'s complement
representation\&. All operations are taken modulo
2^
.ft B
Sys\&.int_size
.ft R
\&. They do not fail on overflow\&.

.sp
.B "Since"
4.08

.sp

.sp
.sp

.PP
.SS Integers

.PP
.I type t 
= 
.B int

.sp
The type for integer values\&.

.sp

.I val zero 
: 
.B int
.sp

.ft B
zero
.ft R
is the integer 
.ft B
0
.ft R
\&.

.sp

.I val one 
: 
.B int
.sp

.ft B
one
.ft R
is the integer 
.ft B
1
.ft R
\&.

.sp

.I val minus_one 
: 
.B int
.sp

.ft B
minus_one
.ft R
is the integer 
.ft B
\-1
.ft R
\&.

.sp

.I val neg 
: 
.B int -> int
.sp

.ft B
neg x
.ft R
is 
.ft B
~\-x
.ft R
\&.

.sp

.I val add 
: 
.B int -> int -> int
.sp

.ft B
add x y
.ft R
is the addition 
.ft B
x + y
.ft R
\&.

.sp

.I val sub 
: 
.B int -> int -> int
.sp

.ft B
sub x y
.ft R
is the subtraction 
.ft B
x \- y
.ft R
\&.

.sp

.I val mul 
: 
.B int -> int -> int
.sp

.ft B
mul x y
.ft R
is the multiplication 
.ft B
x * y
.ft R
\&.

.sp

.I val div 
: 
.B int -> int -> int
.sp

.ft B
div x y
.ft R
is the division 
.ft B
x / y
.ft R
\&. See 
.ft B
(/)
.ft R
for details\&.

.sp

.I val rem 
: 
.B int -> int -> int
.sp

.ft B
rem x y
.ft R
is the remainder 
.ft B
x mod y
.ft R
\&. See 
.ft B
(mod)
.ft R
for details\&.

.sp

.I val succ 
: 
.B int -> int
.sp

.ft B
succ x
.ft R
is 
.ft B
add x 1
.ft R
\&.

.sp

.I val pred 
: 
.B int -> int
.sp

.ft B
pred x
.ft R
is 
.ft B
sub x 1
.ft R
\&.

.sp

.I val abs 
: 
.B int -> int
.sp

.ft B
abs x
.ft R
is the absolute value of 
.ft B
x
.ft R
\&. That is 
.ft B
x
.ft R
if 
.ft B
x
.ft R
is positive
and 
.ft B
neg x
.ft R
if 
.ft B
x
.ft R
is negative\&. Warning\&. This may be negative if
the argument is 
.ft B
Int\&.min_int
.ft R
\&.

.sp

.I val max_int 
: 
.B int
.sp

.ft B
max_int
.ft R
is the greatest representable integer,
.ft B
2{^[Sys\&.int_size \- 1]} \- 1
.ft R
\&.

.sp

.I val min_int 
: 
.B int
.sp

.ft B
min_int
.ft R
is the smallest representable integer,
.ft B
\-2{^[Sys\&.int_size \- 1]}
.ft R
\&.

.sp

.I val logand 
: 
.B int -> int -> int
.sp

.ft B
logand x y
.ft R
is the bitwise logical and of 
.ft B
x
.ft R
and 
.ft B
y
.ft R
\&.

.sp

.I val logor 
: 
.B int -> int -> int
.sp

.ft B
logor x y
.ft R
is the bitwise logical or of 
.ft B
x
.ft R
and 
.ft B
y
.ft R
\&.

.sp

.I val logxor 
: 
.B int -> int -> int
.sp

.ft B
logxor x y
.ft R
is the bitwise logical exclusive or of 
.ft B
x
.ft R
and 
.ft B
y
.ft R
\&.

.sp

.I val lognot 
: 
.B int -> int
.sp

.ft B
lognot x
.ft R
is the bitwise logical negation of 
.ft B
x
.ft R
\&.

.sp

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

.ft B
shift_left x n
.ft R
shifts 
.ft B
x
.ft R
to the left by 
.ft B
n
.ft R
bits\&. The result
is unspecified if 
.ft B
n < 0
.ft R
or 
.ft B
n > 
.ft R
.ft B
Sys\&.int_size
.ft R
\&.

.sp

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

.ft B
shift_right x n
.ft R
shifts 
.ft B
x
.ft R
to the right by 
.ft B
n
.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
n < 0
.ft R
or
.ft B
n > 
.ft R
.ft B
Sys\&.int_size
.ft R
\&.

.sp

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

.ft B
shift_right x n
.ft R
shifts 
.ft B
x
.ft R
to the right by 
.ft B
n
.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
n < 0
.ft R
or
.ft B
n > 
.ft R
.ft B
Sys\&.int_size
.ft R
\&.

.sp

.PP
.SS Predicates and comparisons

.PP

.I val equal 
: 
.B int -> int -> bool
.sp

.ft B
equal x y
.ft R
is 
.ft B
true
.ft R
if and only if 
.ft B
x = y
.ft R
\&.

.sp

.I val compare 
: 
.B int -> int -> int
.sp

.ft B
compare x y
.ft R
is 
.ft B
compare
.ft R
.ft B
x y
.ft R
but more efficient\&.

.sp

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

.sp
.B "Since"
4.13.0

.sp

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

.sp
.B "Since"
4.13.0

.sp

.PP
.SS Converting

.PP

.I val to_float 
: 
.B int -> float
.sp

.ft B
to_float x
.ft R
is 
.ft B
x
.ft R
as a floating point number\&.

.sp

.I val of_float 
: 
.B float -> int
.sp

.ft B
of_float x
.ft R
truncates 
.ft B
x
.ft R
to an integer\&. The result is
unspecified if the argument is 
.ft B
nan
.ft R
or falls outside the range of
representable integers\&.

.sp

.I val to_string 
: 
.B int -> string
.sp

.ft B
to_string x
.ft R
is the written representation of 
.ft B
x
.ft R
in decimal\&.

.sp