Provides utility functions on 8-bit unsigned integers.
Note that most operations are available as built-in operators (e.g. 1 + 1
).
Import from the base library to use this module.
motoko name=import
import Nat8 "mo:base/Nat8";
8-bit natural numbers.
public let maximumValue : Nat8
Maximum 8-bit natural number. 2 ** 8 - 1
.
Example:
motoko include=import
Nat8.maximumValue; // => 255 : Nat8
public let toNat : Nat8 -> Nat
Converts an 8-bit unsigned integer to an unsigned integer with infinite precision.
Example:
motoko include=import
Nat8.toNat(123); // => 123 : Nat
public let fromNat : Nat -> Nat8
Converts an unsigned integer with infinite precision to an 8-bit unsigned integer.
Traps on overflow.
Example:
motoko include=import
Nat8.fromNat(123); // => 123 : Nat8
public let fromNat16 : Nat16 -> Nat8
Converts a 16-bit unsigned integer to a 8-bit unsigned integer.
Traps on overflow.
Example:
motoko include=import
Nat8.fromNat16(123); // => 123 : Nat8
public let toNat16 : Nat8 -> Nat16
Converts an 8-bit unsigned integer to a 16-bit unsigned integer.
Example:
motoko include=import
Nat8.toNat16(123); // => 123 : Nat16
public let fromIntWrap : Int -> Nat8
Converts a signed integer with infinite precision to an 8-bit unsigned integer.
Wraps on overflow/underflow.
Example:
motoko include=import
Nat8.fromIntWrap(123); // => 123 : Nat8
public func toText(x : Nat8) : Text
Converts x
to its textual representation.
Example:
motoko include=import
Nat8.toText(123); // => "123" : Text
public func min(x : Nat8, y : Nat8) : Nat8
Returns the minimum of x
and y
.
Example:
motoko include=import
Nat8.min(123, 200); // => 123 : Nat8
public func max(x : Nat8, y : Nat8) : Nat8
Returns the maximum of x
and y
.
Example:
motoko include=import
Nat8.max(123, 200); // => 200 : Nat8
public func equal(x : Nat8, y : Nat8) : Bool
Equality function for Nat8 types.
This is equivalent to x == y
.
Example:
motoko include=import
ignore Nat8.equal(1, 1); // => true
(1 : Nat8) == (1 : Nat8) // => true
Note: The reason why this function is defined in this library (in addition
to the existing ==
operator) is so that you can use it as a function
value to pass to a higher order function. It is not possible to use ==
as a function value at the moment.
Example:
motoko include=import
import Buffer "mo:base/Buffer";
let buffer1 = Buffer.Buffer<Nat8>(3);
let buffer2 = Buffer.Buffer<Nat8>(3);
Buffer.equal(buffer1, buffer2, Nat8.equal) // => true
public func notEqual(x : Nat8, y : Nat8) : Bool
Inequality function for Nat8 types.
This is equivalent to x != y
.
Example:
motoko include=import
ignore Nat8.notEqual(1, 2); // => true
(1 : Nat8) != (2 : Nat8) // => true
Note: The reason why this function is defined in this library (in addition
to the existing !=
operator) is so that you can use it as a function
value to pass to a higher order function. It is not possible to use !=
as a function value at the moment.
public func less(x : Nat8, y : Nat8) : Bool
"Less than" function for Nat8 types.
This is equivalent to x < y
.
Example:
motoko include=import
ignore Nat8.less(1, 2); // => true
(1 : Nat8) < (2 : Nat8) // => true
Note: The reason why this function is defined in this library (in addition
to the existing <
operator) is so that you can use it as a function
value to pass to a higher order function. It is not possible to use <
as a function value at the moment.
public func lessOrEqual(x : Nat8, y : Nat8) : Bool
"Less than or equal" function for Nat8 types.
This is equivalent to x <= y
.
Example:
motoko include=import
ignore Nat.lessOrEqual(1, 2); // => true
1 <= 2 // => true
Note: The reason why this function is defined in this library (in addition
to the existing <=
operator) is so that you can use it as a function
value to pass to a higher order function. It is not possible to use <=
as a function value at the moment.
public func greater(x : Nat8, y : Nat8) : Bool
"Greater than" function for Nat8 types.
This is equivalent to x > y
.
Example:
motoko include=import
ignore Nat8.greater(2, 1); // => true
(2 : Nat8) > (1 : Nat8) // => true
Note: The reason why this function is defined in this library (in addition
to the existing >
operator) is so that you can use it as a function
value to pass to a higher order function. It is not possible to use >
as a function value at the moment.
public func greaterOrEqual(x : Nat8, y : Nat8) : Bool
"Greater than or equal" function for Nat8 types.
This is equivalent to x >= y
.
Example:
motoko include=import
ignore Nat8.greaterOrEqual(2, 1); // => true
(2 : Nat8) >= (1 : Nat8) // => true
Note: The reason why this function is defined in this library (in addition
to the existing >=
operator) is so that you can use it as a function
value to pass to a higher order function. It is not possible to use >=
as a function value at the moment.
public func compare(x : Nat8, y : Nat8) : {#less; #equal; #greater}
General purpose comparison function for Nat8
. Returns the Order
(
either #less
, #equal
, or #greater
) of comparing x
with y
.
Example:
motoko include=import
Nat8.compare(2, 3) // => #less
This function can be used as value for a high order function, such as a sort function.
Example:
motoko include=import
import Array "mo:base/Array";
Array.sort([2, 3, 1] : [Nat8], Nat8.compare) // => [1, 2, 3]
public func add(x : Nat8, y : Nat8) : Nat8
Returns the sum of x
and y
, x + y
.
Traps on overflow.
Example:
motoko include=import
ignore Nat8.add(1, 2); // => 3
(1 : Nat8) + (2 : Nat8) // => 3
Note: The reason why this function is defined in this library (in addition
to the existing +
operator) is so that you can use it as a function
value to pass to a higher order function. It is not possible to use +
as a function value at the moment.
Example:
motoko include=import
import Array "mo:base/Array";
Array.foldLeft<Nat8, Nat8>([2, 3, 1], 0, Nat8.add) // => 6
public func sub(x : Nat8, y : Nat8) : Nat8
Returns the difference of x
and y
, x - y
.
Traps on underflow.
Example:
motoko include=import
ignore Nat8.sub(2, 1); // => 1
(2 : Nat8) - (1 : Nat8) // => 1
Note: The reason why this function is defined in this library (in addition
to the existing -
operator) is so that you can use it as a function
value to pass to a higher order function. It is not possible to use -
as a function value at the moment.
Example:
motoko include=import
import Array "mo:base/Array";
Array.foldLeft<Nat8, Nat8>([2, 3, 1], 20, Nat8.sub) // => 14
public func mul(x : Nat8, y : Nat8) : Nat8
Returns the product of x
and y
, x * y
.
Traps on overflow.
Example:
motoko include=import
ignore Nat8.mul(2, 3); // => 6
(2 : Nat8) * (3 : Nat8) // => 6
Note: The reason why this function is defined in this library (in addition
to the existing *
operator) is so that you can use it as a function
value to pass to a higher order function. It is not possible to use *
as a function value at the moment.
Example:
motoko include=import
import Array "mo:base/Array";
Array.foldLeft<Nat8, Nat8>([2, 3, 1], 1, Nat8.mul) // => 6
public func div(x : Nat8, y : Nat8) : Nat8
Returns the quotient of x
divided by y
, x / y
.
Traps when y
is zero.
Example:
motoko include=import
ignore Nat8.div(6, 2); // => 3
(6 : Nat8) / (2 : Nat8) // => 3
Note: The reason why this function is defined in this library (in addition
to the existing /
operator) is so that you can use it as a function
value to pass to a higher order function. It is not possible to use /
as a function value at the moment.
public func rem(x : Nat8, y : Nat8) : Nat8
Returns the remainder of x
divided by y
, x % y
.
Traps when y
is zero.
Example:
motoko include=import
ignore Nat8.rem(6, 4); // => 2
(6 : Nat8) % (4 : Nat8) // => 2
Note: The reason why this function is defined in this library (in addition
to the existing %
operator) is so that you can use it as a function
value to pass to a higher order function. It is not possible to use %
as a function value at the moment.
public func pow(x : Nat8, y : Nat8) : Nat8
Returns x
to the power of y
, x ** y
.
Traps on overflow.
Example:
motoko include=import
ignore Nat8.pow(2, 3); // => 8
(2 : Nat8) ** (3 : Nat8) // => 8
Note: The reason why this function is defined in this library (in addition
to the existing **
operator) is so that you can use it as a function
value to pass to a higher order function. It is not possible to use **
as a function value at the moment.
public func bitnot(x : Nat8) : Nat8
Returns the bitwise negation of x
, ^x
.
Example:
motoko include=import
ignore Nat8.bitnot(0); // => 255
^(0 : Nat8) // => 255
Note: The reason why this function is defined in this library (in addition
to the existing ^
operator) is so that you can use it as a function
value to pass to a higher order function. It is not possible to use ^
as a function value at the moment.
public func bitand(x : Nat8, y : Nat8) : Nat8
Returns the bitwise and of x
and y
, x & y
.
Example:
motoko include=import
ignore Nat8.bitand(3, 2); // => 2
(3 : Nat8) & (2 : Nat8) // => 2
Note: The reason why this function is defined in this library (in addition
to the existing &
operator) is so that you can use it as a function
value to pass to a higher order function. It is not possible to use &
as a function value at the moment.
public func bitor(x : Nat8, y : Nat8) : Nat8
Returns the bitwise or of x
and y
, x | y
.
Example:
motoko include=import
ignore Nat8.bitor(3, 2); // => 3
(3 : Nat8) | (2 : Nat8) // => 3
Note: The reason why this function is defined in this library (in addition
to the existing |
operator) is so that you can use it as a function
value to pass to a higher order function. It is not possible to use |
as a function value at the moment.
public func bitxor(x : Nat8, y : Nat8) : Nat8
Returns the bitwise exclusive or of x
and y
, x ^ y
.
Example:
motoko include=import
ignore Nat8.bitxor(3, 2); // => 1
(3 : Nat8) ^ (2 : Nat8) // => 1
Note: The reason why this function is defined in this library (in addition
to the existing ^
operator) is so that you can use it as a function
value to pass to a higher order function. It is not possible to use ^
as a function value at the moment.
public func bitshiftLeft(x : Nat8, y : Nat8) : Nat8
Returns the bitwise shift left of x
by y
, x << y
.
Example:
motoko include=import
ignore Nat8.bitshiftLeft(1, 2); // => 4
(1 : Nat8) << (2 : Nat8) // => 4
Note: The reason why this function is defined in this library (in addition
to the existing <<
operator) is so that you can use it as a function
value to pass to a higher order function. It is not possible to use <<
as a function value at the moment.
public func bitshiftRight(x : Nat8, y : Nat8) : Nat8
Returns the bitwise shift right of x
by y
, x >> y
.
Example:
motoko include=import
ignore Nat8.bitshiftRight(4, 2); // => 1
(4 : Nat8) >> (2 : Nat8) // => 1
Note: The reason why this function is defined in this library (in addition
to the existing >>
operator) is so that you can use it as a function
value to pass to a higher order function. It is not possible to use >>
as a function value at the moment.
public func bitrotLeft(x : Nat8, y : Nat8) : Nat8
Returns the bitwise rotate left of x
by y
, x <<> y
.
Example:
motoko include=import
ignore Nat8.bitrotLeft(128, 1); // => 1
(128 : Nat8) <<> (1 : Nat8) // => 1
Note: The reason why this function is defined in this library (in addition
to the existing <<>
operator) is so that you can use it as a function
value to pass to a higher order function. It is not possible to use <<>
as a function value at the moment.
public func bitrotRight(x : Nat8, y : Nat8) : Nat8
Returns the bitwise rotate right of x
by y
, x <>> y
.
Example:
motoko include=import
ignore Nat8.bitrotRight(1, 1); // => 128
(1 : Nat8) <>> (1 : Nat8) // => 128
Note: The reason why this function is defined in this library (in addition
to the existing <>>
operator) is so that you can use it as a function
value to pass to a higher order function. It is not possible to use <>>
as a function value at the moment.
public func bittest(x : Nat8, p : Nat) : Bool
Returns the value of bit p mod 8
in x
, (x & 2^(p mod 8)) == 2^(p mod 8)
.
This is equivalent to checking if the p
-th bit is set in x
, using 0 indexing.
Example:
motoko include=import
Nat8.bittest(5, 2); // => true
public func bitset(x : Nat8, p : Nat) : Nat8
Returns the value of setting bit p mod 8
in x
to 1
.
Example:
motoko include=import
Nat8.bitset(5, 1); // => 7
public func bitclear(x : Nat8, p : Nat) : Nat8
Returns the value of clearing bit p mod 8
in x
to 0
.
Example:
motoko include=import
Nat8.bitclear(5, 2); // => 1
public func bitflip(x : Nat8, p : Nat) : Nat8
Returns the value of flipping bit p mod 8
in x
.
Example:
motoko include=import
Nat8.bitflip(5, 2); // => 1
public let bitcountNonZero : (x : Nat8) -> Nat8
Returns the count of non-zero bits in x
.
Example:
motoko include=import
Nat8.bitcountNonZero(5); // => 2
public let bitcountLeadingZero : (x : Nat8) -> Nat8
Returns the count of leading zero bits in x
.
Example:
motoko include=import
Nat8.bitcountLeadingZero(5); // => 5
public let bitcountTrailingZero : (x : Nat8) -> Nat8
Returns the count of trailing zero bits in x
.
Example:
motoko include=import
Nat8.bitcountTrailingZero(6); // => 1
public func addWrap(x : Nat8, y : Nat8) : Nat8
Returns the sum of x
and y
, x +% y
. Wraps on overflow.
Example:
motoko include=import
ignore Nat8.addWrap(230, 26); // => 0
(230 : Nat8) +% (26 : Nat8) // => 0
Note: The reason why this function is defined in this library (in addition
to the existing +%
operator) is so that you can use it as a function
value to pass to a higher order function. It is not possible to use +%
as a function value at the moment.
public func subWrap(x : Nat8, y : Nat8) : Nat8
Returns the difference of x
and y
, x -% y
. Wraps on underflow.
Example:
motoko include=import
ignore Nat8.subWrap(0, 1); // => 255
(0 : Nat8) -% (1 : Nat8) // => 255
Note: The reason why this function is defined in this library (in addition
to the existing -%
operator) is so that you can use it as a function
value to pass to a higher order function. It is not possible to use -%
as a function value at the moment.
public func mulWrap(x : Nat8, y : Nat8) : Nat8
Returns the product of x
and y
, x *% y
. Wraps on overflow.
Example:
motoko include=import
ignore Nat8.mulWrap(230, 26); // => 92
(230 : Nat8) *% (26 : Nat8) // => 92
Note: The reason why this function is defined in this library (in addition
to the existing *%
operator) is so that you can use it as a function
value to pass to a higher order function. It is not possible to use *%
as a function value at the moment.
public func powWrap(x : Nat8, y : Nat8) : Nat8
Returns x
to the power of y
, x **% y
. Wraps on overflow.
Example:
motoko include=import
ignore Nat8.powWrap(2, 8); // => 0
(2 : Nat8) **% (8 : Nat8) // => 0
Note: The reason why this function is defined in this library (in addition
to the existing **%
operator) is so that you can use it as a function
value to pass to a higher order function. It is not possible to use **%
as a function value at the moment.