Int

Signed integer numbers with infinite precision (also called big integers).

Most operations on integer numbers (e.g. addition) are available as built-in operators (e.g. -1 + 1). This module provides equivalent functions and Text conversion.

Import from the base library to use this module.

motoko name=import
import Int "mo:base/Int";

type Int = Prim.Types.Int

Infinite precision signed integers.

public func abs(x : Int) : Nat

Returns the absolute value of x.

Example:

motoko include=import
Int.abs(-12) // => 12

public func toText(x : Int) : Text

Converts an integer number to its textual representation. Textual representation do not contain underscores to represent commas.

Example:

motoko include=import
Int.toText(-1234) // => "-1234"

public func fromText(text : Text) : ?Int

Creates a integer from its textual representation. Returns null if the input is not a valid integer.

The textual representation must not contain underscores but may begin with a '+' or '-' character.

Example:

motoko include=import
Nat.fromText "-1234" // => ?-1234

public func toNat(int : Int) : ?Nat

Converts an integer to a natural number. Returns null if the integer is negative.

Example:

motoko include=import
import Debug "mo:base/Debug";
Debug.print(debug_show Int.toNat(-1)); // => null
Debug.print(debug_show Int.toNat(1234)); // => ?1234

public func fromNat(nat : Nat) : Int

Converts a natural number to an integer.

Example:

motoko include=import
import Debug "mo:base/Debug";
Debug.print(debug_show Int.fromNat(1234)); // => 1234

public func min(x : Int, y : Int) : Int

Returns the minimum of x and y.

Example:

motoko include=import
Int.min(2, -3) // => -3

public func max(x : Int, y : Int) : Int

Returns the maximum of x and y.

Example:

motoko include=import
Int.max(2, -3) // => 2

public func equal(x : Int, y : Int) : Bool

Equality function for Int types. This is equivalent to x == y.

Example:

motoko include=import
Int.equal(-1, -1); // => 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<Int>(1);
buffer1.add(-3);
let buffer2 = Buffer.Buffer<Int>(1);
buffer2.add(-3);
Buffer.equal(buffer1, buffer2, Int.equal) // => true

public func notEqual(x : Int, y : Int) : Bool

Inequality function for Int types. This is equivalent to x != y.

Example:

motoko include=import
Int.notEqual(-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 less(x : Int, y : Int) : Bool

"Less than" function for Int types. This is equivalent to x < y.

Example:

motoko include=import
Int.less(-2, 1); // => 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 : Int, y : Int) : Bool

"Less than or equal" function for Int types. This is equivalent to x <= y.

Example:

motoko include=import
Int.lessOrEqual(-2, 1); // => 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 : Int, y : Int) : Bool

"Greater than" function for Int types. This is equivalent to x > y.

Example:

motoko include=import
Int.greater(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 greaterOrEqual(x : Int, y : Int) : Bool

"Greater than or equal" function for Int types. This is equivalent to x >= y.

Example:

motoko include=import
Int.greaterOrEqual(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 compare(x : Int, y : Int) : {#less; #equal; #greater}

General-purpose comparison function for Int. Returns the Order ( either #less, #equal, or #greater) of comparing x with y.

Example:

motoko include=import
Int.compare(-3, 2) // => #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([1, -2, -3], Int.compare) // => [-3, -2, 1]

public func neg(x : Int) : Int

Returns the negation of x, -x .

Example:

motoko include=import
Int.neg(123) // => -123

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 add(x : Int, y : Int) : Int

Returns the sum of x and y, x + y.

No overflow since Int has infinite precision.

Example:

motoko include=import
Int.add(1, -2); // => -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([1, -2, -3], 0, Int.add) // => -4

public func sub(x : Int, y : Int) : Int

Returns the difference of x and y, x - y.

No overflow since Int has infinite precision.

Example:

motoko include=import
Int.sub(1, 2); // => -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([1, -2, -3], 0, Int.sub) // => 4

public func mul(x : Int, y : Int) : Int

Returns the product of x and y, x * y.

No overflow since Int has infinite precision.

Example:

motoko include=import
Int.mul(-2, 3); // => -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([1, -2, -3], 1, Int.mul) // => 6

public func div(x : Int, y : Int) : Int

Returns the signed integer division of x by y, x / y. Rounds the quotient towards zero, which is the same as truncating the decimal places of the quotient.

Traps when y is zero.

Example:

motoko include=import
Int.div(6, -2); // => -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 : Int, y : Int) : Int

Returns the remainder of the signed integer division of x by y, x % y, which is defined as x - x / y * y.

Traps when y is zero.

Example:

motoko include=import
Int.rem(6, -4); // => 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 : Int, y : Int) : Int

Returns x to the power of y, x ** y.

Traps when y is negative or y > 2 ** 32 - 1. No overflow since Int has infinite precision.

Example:

motoko include=import
Int.pow(-2, 3); // => -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 range(fromInclusive : Int, toExclusive : Int) : Iter.Iter<Int>

Returns an iterator over the integers from the first to second argument with an exclusive upper bound.

import Iter "mo:base/Iter";

let iter = Int.range(1, 4);
assert(?1 == iter.next());
assert(?2 == iter.next());
assert(?3 == iter.next());
assert(null == iter.next());

If the first argument is greater than the second argument, the function returns an empty iterator.

import Iter "mo:base/Iter";

let iter = Int.range(4, 1);
assert(null == iter.next()); // empty iterator

public func rangeInclusive(from : Int, to : Int) : Iter.Iter<Int>

Returns an iterator over the integers from the first to second argument, inclusive.

import Iter "mo:base/Iter";

let iter = Int.rangeInclusive(1, 3);
assert(?1 == iter.next());
assert(?2 == iter.next());
assert(?3 == iter.next());
assert(null == iter.next());

If the first argument is greater than the second argument, the function returns an empty iterator.

import Iter "mo:base/Iter";

let iter = Int.rangeInclusive(3, 1);
assert(null == iter.next()); // empty iterator