module Nativeint:sig
..end
Processor-native integers.
This module provides operations on the type nativeint
of
signed 32-bit integers (on 32-bit platforms) or
signed 64-bit integers (on 64-bit platforms).
This integer type has exactly the same width as that of a
pointer type in the C compiler. All arithmetic operations over
nativeint
are taken modulo 232 or 264 depending
on the word size of the architecture.
Performance notice: values of type nativeint
occupy more memory
space than values of type int
, and arithmetic operations on
nativeint
are generally slower than those on int
. Use nativeint
only when the application requires the extra bit of precision
over the int
type.
Literals for native integers are suffixed by n:
let zero: nativeint = 0n
let one: nativeint = 1n
let m_one: nativeint = -1n
val zero : nativeint
The native integer 0.
val one : nativeint
The native integer 1.
val minus_one : nativeint
The native integer -1.
val neg : nativeint -> nativeint
Unary negation.
val add : nativeint -> nativeint -> nativeint
Addition.
val sub : nativeint -> nativeint -> nativeint
Subtraction.
val mul : nativeint -> nativeint -> nativeint
Multiplication.
val div : nativeint -> nativeint -> nativeint
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 (/)
.
val unsigned_div : nativeint -> nativeint -> nativeint
Same as Nativeint.div
, except that arguments and result are interpreted as unsigned native integers.
val rem : nativeint -> nativeint -> nativeint
Integer remainder. If y
is not zero, the result
of Nativeint.rem x y
satisfies the following properties:
Nativeint.zero <= Nativeint.rem x y < Nativeint.abs y
and
x = Nativeint.add (Nativeint.mul (Nativeint.div x y) y)
.
If
(Nativeint.rem x y)y = 0
, Nativeint.rem x y
raises Division_by_zero
.
val unsigned_rem : nativeint -> nativeint -> nativeint
Same as Nativeint.rem
, except that arguments and result are interpreted as unsigned native integers.
val succ : nativeint -> nativeint
Successor.
Nativeint.succ x
is Nativeint.add x Nativeint.one
.
val pred : nativeint -> nativeint
Predecessor.
Nativeint.pred x
is Nativeint.sub x Nativeint.one
.
val abs : nativeint -> nativeint
Return the absolute value of its argument.
val size : int
The size in bits of a native integer. This is equal to 32
on a 32-bit platform and to 64
on a 64-bit platform.
val max_int : nativeint
The greatest representable native integer, either 231 - 1 on a 32-bit platform, or 263 - 1 on a 64-bit platform.
val min_int : nativeint
The smallest representable native integer, either -231 on a 32-bit platform, or -263 on a 64-bit platform.
val logand : nativeint -> nativeint -> nativeint
Bitwise logical and.
val logor : nativeint -> nativeint -> nativeint
Bitwise logical or.
val logxor : nativeint -> nativeint -> nativeint
Bitwise logical exclusive or.
val lognot : nativeint -> nativeint
Bitwise logical negation.
val shift_left : nativeint -> int -> nativeint
Nativeint.shift_left x y
shifts x
to the left by y
bits.
The result is unspecified if y < 0
or y >= bitsize
,
where bitsize
is 32
on a 32-bit platform and
64
on a 64-bit platform.
val shift_right : nativeint -> int -> nativeint
Nativeint.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 >= bitsize
.
val shift_right_logical : nativeint -> int -> nativeint
Nativeint.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 >= bitsize
.
val of_int : int -> nativeint
Convert the given integer (type int
) to a native integer
(type nativeint
).
val to_int : nativeint -> int
Convert the given native integer (type nativeint
) to an
integer (type int
). The high-order bit is lost during
the conversion.
val unsigned_to_int : nativeint -> int option
Same as Nativeint.to_int
, but interprets the argument as an unsigned integer.
Returns None
if the unsigned value of the argument cannot fit into an
int
.
val of_float : float -> nativeint
Convert the given floating-point number to a native integer,
discarding the fractional part (truncate towards 0).
The result of the conversion is undefined if, after truncation,
the number is outside the range
[Nativeint.min_int
, Nativeint.max_int
].
val to_float : nativeint -> float
Convert the given native integer to a floating-point number.
val of_int32 : int32 -> nativeint
Convert the given 32-bit integer (type int32
)
to a native integer.
val to_int32 : nativeint -> int32
Convert the given native integer to a
32-bit integer (type int32
). On 64-bit platforms,
the 64-bit native integer is taken modulo 232,
i.e. the top 32 bits are lost. On 32-bit platforms,
the conversion is exact.
val of_string : string -> nativeint
Convert the given string to a native 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*Nativeint.max_int+1]
. If the input exceeds Nativeint.max_int
it is converted to the signed integer
Int64.min_int + input - Nativeint.max_int - 1
.
Raise Failure "Nativeint.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 nativeint
.
val of_string_opt : string -> nativeint option
Same as of_string
, but return None
instead of raising.
val to_string : nativeint -> string
Return the string representation of its argument, in decimal.
typet =
nativeint
An alias for the type of native integers.
val compare : t -> t -> int
val unsigned_compare : t -> t -> int
Same as Nativeint.compare
, except that arguments are interpreted as unsigned
native integers.
val equal : t -> t -> bool
The equal function for native ints.