Skip to main content

core/Int64

Utility functions on 64-bit signed integers.

Note that most operations are available as built-in operators (e.g. 1 + 1).

Import from the core library to use this module.

import Int64 "mo:core/Int64";

Type Int64​

type Int64 = Prim.Types.Int64

64-bit signed integers.

Value minValue​

let minValue : Int64

Minimum 64-bit integer value, -2 ** 63.

Example:

assert Int64.minValue == -9_223_372_036_854_775_808;

Value maxValue​

let maxValue : Int64

Maximum 64-bit integer value, +2 ** 63 - 1.

Example:

assert Int64.maxValue == +9_223_372_036_854_775_807;

Function toInt​

func toInt(_ : Int64) : Int

Converts a 64-bit signed integer to a signed integer with infinite precision.

Example:

assert Int64.toInt(123_456) == (123_456 : Int);

Function fromInt​

func fromInt(_ : Int) : Int64

Converts a signed integer with infinite precision to a 64-bit signed integer.

Traps on overflow/underflow.

Example:

assert Int64.fromInt(123_456) == (+123_456 : Int64);

Function fromInt32​

func fromInt32(_ : Int32) : Int64

Converts a 32-bit signed integer to a 64-bit signed integer.

Traps on overflow/underflow.

Example:

assert Int64.fromInt32(-123_456) == (-123_456 : Int64);

Function toInt32​

func toInt32(_ : Int64) : Int32

Converts a 64-bit signed integer to a 32-bit signed integer.

Wraps on overflow/underflow.

Example:

assert Int64.toInt32(-123_456) == (-123_456 : Int32);

Function fromIntWrap​

func fromIntWrap(_ : Int) : Int64

Converts a signed integer with infinite precision to a 64-bit signed integer.

Wraps on overflow/underflow.

Example:

assert Int64.fromIntWrap(-123_456) == (-123_456 : Int64);

Function fromNat64​

func fromNat64(_ : Nat64) : Int64

Converts an unsigned 64-bit integer to a signed 64-bit integer.

Wraps on overflow/underflow.

Example:

assert Int64.fromNat64(123_456) == (+123_456 : Int64);

Function toNat64​

func toNat64(_ : Int64) : Nat64

Converts a signed 64-bit integer to an unsigned 64-bit integer.

Wraps on overflow/underflow.

Example:

assert Int64.toNat64(-1) == (18_446_744_073_709_551_615 : Nat64); // underflow

Function toText​

func toText(x : Int64) : Text

Returns the Text representation of x. Textual representation do not contain underscores to represent commas.

Example:

assert Int64.toText(-123456) == "-123456";

Function abs​

func abs(x : Int64) : Int64

Returns the absolute value of x.

Traps when x == -2 ** 63 (the minimum Int64 value).

Example:

assert Int64.abs(-123456) == +123_456;

Function min​

func min(x : Int64, y : Int64) : Int64

Returns the minimum of x and y.

Example:

assert Int64.min(+2, -3) == -3;

Function max​

func max(x : Int64, y : Int64) : Int64

Returns the maximum of x and y.

Example:

assert Int64.max(+2, -3) == +2;

Function equal​

func equal(x : Int64, y : Int64) : Bool

Equality function for Int64 types. This is equivalent to x == y.

Example:

assert Int64.equal(-1, -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:

let a : Int64 = -123;
let b : Int64 = 123;
assert not Int64.equal(a, b);

Function notEqual​

func notEqual(x : Int64, y : Int64) : Bool

Inequality function for Int64 types. This is equivalent to x != y.

Example:

assert Int64.notEqual(-1, -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.

Function less​

func less(x : Int64, y : Int64) : Bool

"Less than" function for Int64 types. This is equivalent to x < y.

Example:

assert Int64.less(-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.

Function lessOrEqual​

func lessOrEqual(x : Int64, y : Int64) : Bool

"Less than or equal" function for Int64 types. This is equivalent to x <= y.

Example:

assert Int64.lessOrEqual(-2, -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.

Function greater​

func greater(x : Int64, y : Int64) : Bool

"Greater than" function for Int64 types. This is equivalent to x > y.

Example:

assert Int64.greater(-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.

Function greaterOrEqual​

func greaterOrEqual(x : Int64, y : Int64) : Bool

"Greater than or equal" function for Int64 types. This is equivalent to x >= y.

Example:

assert Int64.greaterOrEqual(-2, -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.

Function compare​

func compare(x : Int64, y : Int64) : Order.Order

General-purpose comparison function for Int64. Returns the Order ( either #less, #equal, or #greater) of comparing x with y.

Example:

assert Int64.compare(-3, 2) == #less;

This function can be used as value for a high order function, such as a sort function.

Example:

import Array "mo:core/Array";
assert Array.sort([1, -2, -3] : [Int64], Int64.compare) == [-3, -2, 1];

Function neg​

func neg(x : Int64) : Int64

Returns the negation of x, -x.

Traps on overflow, i.e. for neg(-2 ** 63).

Example:

assert Int64.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.

Function add​

func add(x : Int64, y : Int64) : Int64

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

Traps on overflow/underflow.

Example:

assert Int64.add(1234, 123) == +1_357;

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:

import Array "mo:core/Array";
assert Array.foldLeft<Int64, Int64>([1, -2, -3], 0, Int64.add) == -4;

Function sub​

func sub(x : Int64, y : Int64) : Int64

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

Traps on overflow/underflow.

Example:

assert Int64.sub(123, 100) == +23;

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:

import Array "mo:core/Array";
assert Array.foldLeft<Int64, Int64>([1, -2, -3], 0, Int64.sub) == 4;

Function mul​

func mul(x : Int64, y : Int64) : Int64

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

Traps on overflow/underflow.

Example:

assert Int64.mul(123, 10) == +1_230;

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:

import Array "mo:core/Array";
assert Array.foldLeft<Int64, Int64>([1, -2, -3], 1, Int64.mul) == 6;

Function div​

func div(x : Int64, y : Int64) : Int64

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:

assert Int64.div(123, 10) == +12;

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.

Function rem​

func rem(x : Int64, y : Int64) : Int64

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:

assert Int64.rem(123, 10) == +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.

Function pow​

func pow(x : Int64, y : Int64) : Int64

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

Traps on overflow/underflow and when y < 0 or y >= 64.

Example:

assert Int64.pow(2, 10) == +1_024;

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.

Function bitnot​

func bitnot(x : Int64) : Int64

Returns the bitwise negation of x, ^x.

Example:

assert Int64.bitnot(-256 /* 0xffff_ffff_ffff_ff00 */) == +255 // 0xff;

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.

Function bitand​

func bitand(x : Int64, y : Int64) : Int64

Returns the bitwise "and" of x and y, x & y.

Example:

assert Int64.bitand(0xffff, 0x00f0) == +240 // 0xf0;

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.

Function bitor​

func bitor(x : Int64, y : Int64) : Int64

Returns the bitwise "or" of x and y, x | y.

Example:

assert Int64.bitor(0xffff, 0x00f0) == +65_535 // 0xffff;

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.

Function bitxor​

func bitxor(x : Int64, y : Int64) : Int64

Returns the bitwise "exclusive or" of x and y, x ^ y.

Example:

assert Int64.bitxor(0xffff, 0x00f0) == +65_295 // 0xff0f;

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.

Function bitshiftLeft​

func bitshiftLeft(x : Int64, y : Int64) : Int64

Returns the bitwise left shift of x by y, x << y. The right bits of the shift filled with zeros. Left-overflowing bits, including the sign bit, are discarded.

For y >= 64, the semantics is the same as for bitshiftLeft(x, y % 64). For y < 0, the semantics is the same as for bitshiftLeft(x, y + y % 64).

Example:

assert Int64.bitshiftLeft(1, 8) == +256 // 0x100 equivalent to `2 ** 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.

Function bitshiftRight​

func bitshiftRight(x : Int64, y : Int64) : Int64

Returns the signed bitwise right shift of x by y, x >> y. The sign bit is retained and the left side is filled with the sign bit. Right-underflowing bits are discarded, i.e. not rotated to the left side.

For y >= 64, the semantics is the same as for bitshiftRight(x, y % 64). For y < 0, the semantics is the same as for bitshiftRight (x, y + y % 64).

Example:

assert Int64.bitshiftRight(1024, 8) == +4 // equivalent to `1024 / (2 ** 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.

Function bitrotLeft​

func bitrotLeft(x : Int64, y : Int64) : Int64

Returns the bitwise left rotatation of x by y, x <<> y. Each left-overflowing bit is inserted again on the right side. The sign bit is rotated like other bits, i.e. the rotation interprets the number as unsigned.

Changes the direction of rotation for negative y. For y >= 64, the semantics is the same as for bitrotLeft(x, y % 64).

Example:


assert Int64.bitrotLeft(0x2000_0000_0000_0001, 4) == +18 // 0x12.;

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.

Function bitrotRight​

func bitrotRight(x : Int64, y : Int64) : Int64

Returns the bitwise right rotation of x by y, x <>> y. Each right-underflowing bit is inserted again on the right side. The sign bit is rotated like other bits, i.e. the rotation interprets the number as unsigned.

Changes the direction of rotation for negative y. For y >= 64, the semantics is the same as for bitrotRight(x, y % 64).

Example:

assert Int64.bitrotRight(0x0002_0000_0000_0001, 48) == +65538 // 0x1_0002.;

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.

Function bittest​

func bittest(x : Int64, p : Nat) : Bool

Returns the value of bit p in x, x & 2**p == 2**p. If p >= 64, the semantics is the same as for bittest(x, p % 64). This is equivalent to checking if the p-th bit is set in x, using 0 indexing.

Example:

assert Int64.bittest(128, 7);

Function bitset​

func bitset(x : Int64, p : Nat) : Int64

Returns the value of setting bit p in x to 1. If p >= 64, the semantics is the same as for bitset(x, p % 64).

Example:

assert Int64.bitset(0, 7) == +128;

Function bitclear​

func bitclear(x : Int64, p : Nat) : Int64

Returns the value of clearing bit p in x to 0. If p >= 64, the semantics is the same as for bitclear(x, p % 64).

Example:

assert Int64.bitclear(-1, 7) == -129;

Function bitflip​

func bitflip(x : Int64, p : Nat) : Int64

Returns the value of flipping bit p in x. If p >= 64, the semantics is the same as for bitclear(x, p % 64).

Example:

assert Int64.bitflip(255, 7) == +127;

Function bitcountNonZero​

func bitcountNonZero(x : Int64) : Int64

Returns the count of non-zero bits in x.

Example:

assert Int64.bitcountNonZero(0xffff) == +16;

Function bitcountLeadingZero​

func bitcountLeadingZero(x : Int64) : Int64

Returns the count of leading zero bits in x.

Example:

assert Int64.bitcountLeadingZero(0x8000_0000) == +32;

Function bitcountTrailingZero​

func bitcountTrailingZero(x : Int64) : Int64

Returns the count of trailing zero bits in x.

Example:

assert Int64.bitcountTrailingZero(0x0201_0000) == +16;

Function addWrap​

func addWrap(x : Int64, y : Int64) : Int64

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

Wraps on overflow/underflow.

Example:

assert Int64.addWrap(2 ** 62, 2 ** 62) == -9_223_372_036_854_775_808; // overflow

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.

Function subWrap​

func subWrap(x : Int64, y : Int64) : Int64

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

Wraps on overflow/underflow.

Example:

assert Int64.subWrap(-2 ** 63, 1) == +9_223_372_036_854_775_807; // underflow

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.

Function mulWrap​

func mulWrap(x : Int64, y : Int64) : Int64

Returns the product of x and y, x *% y. Wraps on overflow.

Wraps on overflow/underflow.

Example:

assert Int64.mulWrap(2 ** 32, 2 ** 32) == 0; // overflow

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.

Function powWrap​

func powWrap(x : Int64, y : Int64) : Int64

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

Wraps on overflow/underflow. Traps if y < 0 or y >= 64.

Example:

assert Int64.powWrap(2, 63) == -9_223_372_036_854_775_808; // overflow

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.

Function range​

func range(fromInclusive : Int64, toExclusive : Int64) : Iter.Iter<Int64>

Returns an iterator over Int64 values from the first to second argument with an exclusive upper bound.

import Iter "mo:core/Iter";

let iter = Int64.range(1, 4);
assert iter.next() == ?1;
assert iter.next() == ?2;
assert iter.next() == ?3;
assert iter.next() == null;

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

import Iter "mo:core/Iter";

let iter = Int64.range(4, 1);
assert iter.next() == null; // empty iterator

Function rangeInclusive​

func rangeInclusive(from : Int64, to : Int64) : Iter.Iter<Int64>

Returns an iterator over Int64 values from the first to second argument, inclusive.

import Iter "mo:core/Iter";

let iter = Int64.rangeInclusive(1, 3);
assert iter.next() == ?1;
assert iter.next() == ?2;
assert iter.next() == ?3;
assert iter.next() == null;

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

import Iter "mo:core/Iter";

let iter = Int64.rangeInclusive(4, 1);
assert iter.next() == null; // empty iterator

Function allValues​

func allValues() : Iter.Iter<Int64>

Returns an iterator over all Int64 values, from minValue to maxValue.

import Iter "mo:core/Iter";

let iter = Int64.allValues();
assert iter.next() == ?-9_223_372_036_854_775_808;
assert iter.next() == ?-9_223_372_036_854_775_807;
assert iter.next() == ?-9_223_372_036_854_775_806;
// ...