# FloatingPoint Implementations ## Topics ### Operators [`static func * (Float16, Float16) -> Float16`](/documentation/Swift/Float16/*(_:_:)) Multiplies two values and produces their product, rounding to a representable value. [`static func *= (inout Float16, Float16)`](/documentation/Swift/Float16/*=(_:_:)) Multiplies two values and stores the result in the left-hand-side variable, rounding to a representable value. [`static func + (Float16, Float16) -> Float16`](/documentation/Swift/Float16/+(_:_:)) Adds two values and produces their sum, rounded to a representable value. [`static func += (inout Float16, Float16)`](/documentation/Swift/Float16/+=(_:_:)) Adds two values and stores the result in the left-hand-side variable, rounded to a representable value. [`static func - (Float16) -> Float16`](/documentation/Swift/Float16/-(_:)) Calculates the additive inverse of a value. [`static func - (Float16, Float16) -> Float16`](/documentation/Swift/Float16/-(_:_:)) Subtracts one value from another and produces their difference, rounded to a representable value. [`static func -= (inout Float16, Float16)`](/documentation/Swift/Float16/-=(_:_:)) Subtracts the second value from the first and stores the difference in the left-hand-side variable, rounding to a representable value. [`static func / (Float16, Float16) -> Float16`](/documentation/Swift/Float16/_(_:_:)) Returns the quotient of dividing the first value by the second, rounded to a representable value. [`static func > (Self, Self) -> Bool`](/documentation/Swift/Float16/_(_:_:)-9d93b) [`static func /= (inout Float16, Float16)`](/documentation/Swift/Float16/_=(_:_:)) Divides the first value by the second and stores the quotient in the left-hand-side variable, rounding to a representable value. [`static func >= (Self, Self) -> Bool`](/documentation/Swift/Float16/_=(_:_:)-1s8n2) [`static func <= (Self, Self) -> Bool`](/documentation/Swift/Float16/_=(_:_:)-4bq0a) ### Initializers [`init(Int)`](/documentation/Swift/Float16/init(_:)-4iaoz) Creates a new value, rounded to the closest possible representation. [`init(Source)`](/documentation/Swift/Float16/init(_:)-67cee) Creates a new value, rounded to the closest possible representation. [`init?(exactly: Source)`](/documentation/Swift/Float16/init(exactly:)-2qxl0) Creates a new value, if the given integer can be represented exactly. [`init(sign: FloatingPointSign, exponent: Int, significand: Float16)`](/documentation/Swift/Float16/init(sign:exponent:significand:)) Creates a new value from the given sign, exponent, and significand. [`init(signOf: Float16, magnitudeOf: Float16)`](/documentation/Swift/Float16/init(signOf:magnitudeOf:)) Creates a new floating-point value using the sign of one value and the magnitude of another. [`init(signOf: Self, magnitudeOf: Self)`](/documentation/Swift/Float16/init(signOf:magnitudeOf:)-1oylh) Creates a new floating-point value using the sign of one value and the magnitude of another. ### Instance Properties [`var exponent: Int`](/documentation/Swift/Float16/exponent-swift.property) The exponent of the floating-point value. [`var floatingPointClass: FloatingPointClassification`](/documentation/Swift/Float16/floatingPointClass) The classification of this value. [`var isCanonical: Bool`](/documentation/Swift/Float16/isCanonical) A Boolean value indicating whether the instance’s representation is in its canonical form. [`var isFinite: Bool`](/documentation/Swift/Float16/isFinite) A Boolean value indicating whether this instance is finite. [`var isInfinite: Bool`](/documentation/Swift/Float16/isInfinite) A Boolean value indicating whether the instance is infinite. [`var isNaN: Bool`](/documentation/Swift/Float16/isNaN) A Boolean value indicating whether the instance is NaN (“not a number”). [`var isNormal: Bool`](/documentation/Swift/Float16/isNormal) A Boolean value indicating whether this instance is normal. [`var isSignalingNaN: Bool`](/documentation/Swift/Float16/isSignalingNaN) A Boolean value indicating whether the instance is a signaling NaN. [`var isSubnormal: Bool`](/documentation/Swift/Float16/isSubnormal) A Boolean value indicating whether the instance is subnormal. [`var isZero: Bool`](/documentation/Swift/Float16/isZero) A Boolean value indicating whether the instance is equal to zero. [`var nextDown: Self`](/documentation/Swift/Float16/nextDown) The greatest representable value that compares less than this value. [`var nextUp: Float16`](/documentation/Swift/Float16/nextUp) The least representable value that compares greater than this value. [`var sign: FloatingPointSign`](/documentation/Swift/Float16/sign) The sign of the floating-point value. [`var significand: Float16`](/documentation/Swift/Float16/significand) The significand of the floating-point value. [`var ulp: Float16`](/documentation/Swift/Float16/ulp) The unit in the last place of this value. ### Instance Methods [`func addProduct(Float16, Float16)`](/documentation/Swift/Float16/addProduct(_:_:)) Adds the product of the two given values to this value in place, computed without intermediate rounding. [`func addingProduct(Self, Self) -> Self`](/documentation/Swift/Float16/addingProduct(_:_:)) Returns the result of adding the product of the two given values to this value, computed without intermediate rounding. [`func formRemainder(dividingBy: Float16)`](/documentation/Swift/Float16/formRemainder(dividingBy:)) Replaces this value with the remainder of itself divided by the given value. [`func formSquareRoot()`](/documentation/Swift/Float16/formSquareRoot()) Replaces this value with its square root, rounded to a representable value. [`func formTruncatingRemainder(dividingBy: Float16)`](/documentation/Swift/Float16/formTruncatingRemainder(dividingBy:)) Replaces this value with the remainder of itself divided by the given value using truncating division. [`func isEqual(to: Float16) -> Bool`](/documentation/Swift/Float16/isEqual(to:)) Returns a Boolean value indicating whether this instance is equal to the given value. [`func isLess(than: Float16) -> Bool`](/documentation/Swift/Float16/isLess(than:)) Returns a Boolean value indicating whether this instance is less than the given value. [`func isLessThanOrEqualTo(Float16) -> Bool`](/documentation/Swift/Float16/isLessThanOrEqualTo(_:)) Returns a Boolean value indicating whether this instance is less than or equal to the given value. [`func isTotallyOrdered(belowOrEqualTo: Self) -> Bool`](/documentation/Swift/Float16/isTotallyOrdered(belowOrEqualTo:)) Returns a Boolean value indicating whether this instance should precede or tie positions with the given value in an ascending sort. [`func negate()`](/documentation/Swift/Float16/negate()) Replaces this value with its additive inverse. [`func remainder(dividingBy: Self) -> Self`](/documentation/Swift/Float16/remainder(dividingBy:)) Returns the remainder of this value divided by the given value. [`func round()`](/documentation/Swift/Float16/round()) [`func round(FloatingPointRoundingRule)`](/documentation/Swift/Float16/round(_:)) Rounds the value to an integral value using the specified rounding rule. [`func rounded() -> Self`](/documentation/Swift/Float16/rounded()) [`func rounded(FloatingPointRoundingRule) -> Self`](/documentation/Swift/Float16/rounded(_:)) Returns this value rounded to an integral value using the specified rounding rule. [`func squareRoot() -> Self`](/documentation/Swift/Float16/squareRoot()) Returns the square root of the value, rounded to a representable value. [`func truncatingRemainder(dividingBy: Self) -> Self`](/documentation/Swift/Float16/truncatingRemainder(dividingBy:)) Returns the remainder of this value divided by the given value using truncating division. ### Type Aliases [`typealias Exponent`](/documentation/Swift/Float16/Exponent-swift.typealias) A type that can represent any written exponent. ### Type Properties [`static var greatestFiniteMagnitude: Float16`](/documentation/Swift/Float16/greatestFiniteMagnitude) The greatest finite number representable by this type. [`static var infinity: Float16`](/documentation/Swift/Float16/infinity) Positive infinity. [`static var leastNonzeroMagnitude: Float16`](/documentation/Swift/Float16/leastNonzeroMagnitude) The least positive number. [`static var leastNormalMagnitude: Float16`](/documentation/Swift/Float16/leastNormalMagnitude) The least positive normal number. [`static var nan: Float16`](/documentation/Swift/Float16/nan) A quiet NaN (“not a number”). [`static var pi: Float16`](/documentation/Swift/Float16/pi) The mathematical constant pi (π), approximately equal to 3.14159. [`static var radix: Int`](/documentation/Swift/Float16/radix) The radix, or base of exponentiation, for a floating-point type. [`static var signalingNaN: Float16`](/documentation/Swift/Float16/signalingNaN) A signaling NaN (“not a number”). [`static var ulpOfOne: Float16`](/documentation/Swift/Float16/ulpOfOne) The unit in the last place of 1.0. [`static var ulpOfOne: Self`](/documentation/Swift/Float16/ulpOfOne-8wr95) The unit in the last place of 1.0. ### Type Methods [`static func maximum(Self, Self) -> Self`](/documentation/Swift/Float16/maximum(_:_:)) Returns the greater of the two given values. [`static func maximumMagnitude(Self, Self) -> Self`](/documentation/Swift/Float16/maximumMagnitude(_:_:)) Returns the value with greater magnitude. [`static func minimum(Self, Self) -> Self`](/documentation/Swift/Float16/minimum(_:_:)) Returns the lesser of the two given values. [`static func minimumMagnitude(Self, Self) -> Self`](/documentation/Swift/Float16/minimumMagnitude(_:_:)) Returns the value with lesser magnitude. --- Copyright © 2026 Apple Inc. All rights reserved. | [Terms of Use](https://www.apple.com/legal/internet-services/terms/site.html) | [Privacy Policy](https://www.apple.com/privacy/privacy-policy)