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doc/containers/CCInt32/index.html
Module CCInt32
Source
Helpers for 32-bit integers.
This module provides operations on the type int32 of signed 32-bit integers. Unlike the built-in int type, the type int32 is guaranteed to be exactly 32-bit wide on all platforms. All arithmetic operations over int32 are taken modulo 232.
Performance notice: values of type int32 occupy more memory space than values of type int, and arithmetic operations on int32 are generally slower than those on int. Use int32 only when the application requires exact 32-bit arithmetic.
include module type of struct include Int32 end
The 32-bit integer 0.
The 32-bit integer 1.
The 32-bit integer -1.
Unary negation.
Addition.
Subtraction.
Multiplication.
Integer division. This division rounds the real quotient of its arguments towards zero, as specified for Stdlib.(/)
.
Same as div
, except that arguments and result are interpreted as unsigned 32-bit integers.
Integer remainder. If y
is not zero, the result of Int32.rem x y
satisfies the following property: x = Int32.add (Int32.mul (Int32.div x y) y) (Int32.rem x y)
. If y = 0
, Int32.rem x y
raises Division_by_zero
.
Same as rem
, except that arguments and result are interpreted as unsigned 32-bit integers.
Successor. Int32.succ x
is Int32.add x Int32.one
.
Predecessor. Int32.pred x
is Int32.sub x Int32.one
.
abs x
is the absolute value of x
. On min_int
this is min_int
itself and thus remains negative.
The greatest representable 32-bit integer, 231 - 1.
The smallest representable 32-bit integer, -231.
Bitwise logical and.
Bitwise logical or.
Bitwise logical exclusive or.
Bitwise logical negation.
Int32.shift_left x y
shifts x
to the left by y
bits. The result is unspecified if y < 0
or y >= 32
.
Int32.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 >= 32
.
Int32.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 >= 32
.
Convert the given integer (type int
) to a 32-bit integer (type int32
). On 64-bit platforms, the argument is taken modulo 232.
Convert the given 32-bit integer (type int32
) to an integer (type int
). On 32-bit platforms, the 32-bit integer is taken modulo 231, i.e. the high-order bit is lost during the conversion. On 64-bit platforms, the conversion is exact.
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 32-bit integer, discarding the fractional part (truncate towards 0). If the truncated floating-point number is outside the range [Int32.min_int
, Int32.max_int
], no exception is raised, and an unspecified, platform-dependent integer is returned.
Convert the given 32-bit integer to a floating-point number.
Return the string representation of its argument, in signed decimal.
Return the internal representation of the given float according to the IEEE 754 floating-point 'single format' bit layout. Bit 31 of the result represents the sign of the float; bits 30 to 23 represent the (biased) exponent; bits 22 to 0 represent the mantissa.
Return the floating-point number whose internal representation, according to the IEEE 754 floating-point 'single format' bit layout, is the given int32
.
An alias for the type of 32-bit integers.
The comparison function for 32-bit integers, with the same specification as Stdlib.compare
. Along with the type t
, this function compare
allows the module Int32
to be passed as argument to the functors Set.Make
and Map.Make
.
Same as compare
, except that arguments are interpreted as unsigned 32-bit integers.
A seeded hash function for 32-bit ints, with the same output value as Hashtbl.seeded_hash
. This function allows this module to be passed as argument to the functor Hashtbl.MakeSeeded
.
sign x
return 0
if x = 0
, -1
if x < 0
and 1
if x > 0
. Same as compare x zero
.
pow base exponent
returns base
raised to the power of exponent
. pow x y = x^y
for positive integers x
and y
. Raises Invalid_argument
if x = y = 0
or y
< 0.
floor_div x n
is integer division rounding towards negative infinity. It satisfies x = m * floor_div x n + rem x n
.
range_by ~step i j
iterates on integers from i
to j
included, where the difference between successive elements is step
. Use a negative step
for a decreasing list.
range i j
iterates on integers from i
to j
included . It works both for decreasing and increasing ranges.
range' i j
is like range
but the second bound j
is excluded. For instance range' 0 5 = Iter.of_list [0;1;2;3;4]
.
Conversion
of_string s
is the safe version of of_string_exn
. Like of_string_exn
, but return None
instead of raising.
of_string_exn s
converts the given string s
into a 32-bit integer. Alias to Int32.of_string
. 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*CCInt32.max_int+1]
. If the input exceeds CCInt32.max_int
it is converted to the signed integer CCInt32.min_int + input - CCInt32.max_int - 1
.
The _
(underscore) character can appear anywhere in the string and is ignored. Raise Failure "Int32.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 int32
.
to_string_binary x
returns the string representation of the integer x
, in binary.
Printing
Infix Operators
include module type of Infix
x / y
is the integer quotient of x
and y
. Integer division. Raise Division_by_zero
if the second argument y
is zero. This division rounds the real quotient of its arguments towards zero, as specified for Stdlib.(/)
.
x mod y
is the integer remainder of x / y
. If y <> zero
, the result of x mod y
satisfies the following properties: zero <= x mod y < abs y
and x = ((x / y) * y) + (x mod y)
. If y = 0
, x mod y
raises Division_by_zero
.
x lsl y
shifts x
to the left by y
bits, filling in with zeroes. The result is unspecified if y < 0
or y >= 32
.
x lsr 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 >= 32
.
x asr 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 >= 32
.