# FloatingPoint Implementations ## Topics ### Operators [`static func * (Float, Float) -> Float`](/documentation/Swift/Float/*(_:_:)) Multiplies two values and produces their product, rounding to a representable value. [`static func *= (inout Float, Float)`](/documentation/Swift/Float/*=(_:_:)) Multiplies two values and stores the result in the left-hand-side variable, rounding to a representable value. [`static func + (Float, Float) -> Float`](/documentation/Swift/Float/+(_:_:)) Adds two values and produces their sum, rounded to a representable value. [`static func += (inout Float, Float)`](/documentation/Swift/Float/+=(_:_:)) Adds two values and stores the result in the left-hand-side variable, rounded to a representable value. [`static func - (Float) -> Float`](/documentation/Swift/Float/-(_:)) Calculates the additive inverse of a value. [`static func - (Float, Float) -> Float`](/documentation/Swift/Float/-(_:_:)) Subtracts one value from another and produces their difference, rounded to a representable value. [`static func -= (inout Float, Float)`](/documentation/Swift/Float/-=(_:_:)) Subtracts the second value from the first and stores the difference in the left-hand-side variable, rounding to a representable value. [`static func / (Float, Float) -> Float`](/documentation/Swift/Float/_(_:_:)) Returns the quotient of dividing the first value by the second, rounded to a representable value. [`static func > (Self, Self) -> Bool`](/documentation/Swift/Float/_(_:_:)-552jr) [`static func /= (inout Float, Float)`](/documentation/Swift/Float/_=(_:_:)) 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/Float/_=(_:_:)-5yoz5) [`static func >= (Self, Self) -> Bool`](/documentation/Swift/Float/_=(_:_:)-9o6ha) ### Initializers [`init(Int)`](/documentation/Swift/Float/init(_:)-6cvkq) Creates a new value, rounded to the closest possible representation. [`init(Source)`](/documentation/Swift/Float/init(_:)-7e965) Creates a new value, rounded to the closest possible representation. [`init?(exactly: Source)`](/documentation/Swift/Float/init(exactly:)-uz92) Creates a new value, if the given integer can be represented exactly. [`init(sign: FloatingPointSign, exponent: Int, significand: Float)`](/documentation/Swift/Float/init(sign:exponent:significand:)) Creates a new value from the given sign, exponent, and significand. [`init(signOf: Float, magnitudeOf: Float)`](/documentation/Swift/Float/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/Float/init(signOf:magnitudeOf:)-6i9uw) Creates a new floating-point value using the sign of one value and the magnitude of another. ### Instance Properties [`var exponent: Int`](/documentation/Swift/Float/exponent-swift.property) The exponent of the floating-point value. [`var floatingPointClass: FloatingPointClassification`](/documentation/Swift/Float/floatingPointClass) The classification of this value. [`var isCanonical: Bool`](/documentation/Swift/Float/isCanonical) A Boolean value indicating whether the instance’s representation is in its canonical form. [`var isFinite: Bool`](/documentation/Swift/Float/isFinite) A Boolean value indicating whether this instance is finite. [`var isInfinite: Bool`](/documentation/Swift/Float/isInfinite) A Boolean value indicating whether the instance is infinite. [`var isNaN: Bool`](/documentation/Swift/Float/isNaN) A Boolean value indicating whether the instance is NaN (“not a number”). [`var isNormal: Bool`](/documentation/Swift/Float/isNormal) A Boolean value indicating whether this instance is normal. [`var isSignalingNaN: Bool`](/documentation/Swift/Float/isSignalingNaN) A Boolean value indicating whether the instance is a signaling NaN. [`var isSubnormal: Bool`](/documentation/Swift/Float/isSubnormal) A Boolean value indicating whether the instance is subnormal. [`var isZero: Bool`](/documentation/Swift/Float/isZero) A Boolean value indicating whether the instance is equal to zero. [`var nextDown: Self`](/documentation/Swift/Float/nextDown) The greatest representable value that compares less than this value. [`var nextUp: Float`](/documentation/Swift/Float/nextUp) The least representable value that compares greater than this value. [`var sign: FloatingPointSign`](/documentation/Swift/Float/sign) The sign of the floating-point value. [`var significand: Float`](/documentation/Swift/Float/significand) The significand of the floating-point value. [`var ulp: Float`](/documentation/Swift/Float/ulp) The unit in the last place of this value. ### Instance Methods [`func addProduct(Float, Float)`](/documentation/Swift/Float/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/Float/addingProduct(_:_:)) Returns the result of adding the product of the two given values to this value, computed without intermediate rounding. [`func formRemainder(dividingBy: Float)`](/documentation/Swift/Float/formRemainder(dividingBy:)) Replaces this value with the remainder of itself divided by the given value. [`func formSquareRoot()`](/documentation/Swift/Float/formSquareRoot()) Replaces this value with its square root, rounded to a representable value. [`func formTruncatingRemainder(dividingBy: Float)`](/documentation/Swift/Float/formTruncatingRemainder(dividingBy:)) Replaces this value with the remainder of itself divided by the given value using truncating division. [`func isEqual(to: Float) -> Bool`](/documentation/Swift/Float/isEqual(to:)) Returns a Boolean value indicating whether this instance is equal to the given value. [`func isLess(than: Float) -> Bool`](/documentation/Swift/Float/isLess(than:)) Returns a Boolean value indicating whether this instance is less than the given value. [`func isLessThanOrEqualTo(Float) -> Bool`](/documentation/Swift/Float/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/Float/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/Float/negate()) Replaces this value with its additive inverse. [`func remainder(dividingBy: Self) -> Self`](/documentation/Swift/Float/remainder(dividingBy:)) Returns the remainder of this value divided by the given value. [`func round()`](/documentation/Swift/Float/round()) [`func round(FloatingPointRoundingRule)`](/documentation/Swift/Float/round(_:)) Rounds the value to an integral value using the specified rounding rule. [`func rounded() -> Self`](/documentation/Swift/Float/rounded()) [`func rounded(FloatingPointRoundingRule) -> Self`](/documentation/Swift/Float/rounded(_:)) Returns this value rounded to an integral value using the specified rounding rule. [`func squareRoot() -> Self`](/documentation/Swift/Float/squareRoot()) Returns the square root of the value, rounded to a representable value. [`func truncatingRemainder(dividingBy: Self) -> Self`](/documentation/Swift/Float/truncatingRemainder(dividingBy:)) Returns the remainder of this value divided by the given value using truncating division. ### Type Aliases [`typealias Exponent`](/documentation/Swift/Float/Exponent-swift.typealias) A type that can represent any written exponent. ### Type Properties [`static var greatestFiniteMagnitude: Float`](/documentation/Swift/Float/greatestFiniteMagnitude) The greatest finite number representable by this type. [`static var infinity: Float`](/documentation/Swift/Float/infinity) Positive infinity. [`static var leastNonzeroMagnitude: Float`](/documentation/Swift/Float/leastNonzeroMagnitude) The least positive number. [`static var leastNormalMagnitude: Float`](/documentation/Swift/Float/leastNormalMagnitude) The least positive normal number. [`static var nan: Float`](/documentation/Swift/Float/nan) A quiet NaN (“not a number”). [`static var pi: Float`](/documentation/Swift/Float/pi) The mathematical constant pi (π), approximately equal to 3.14159. [`static var radix: Int`](/documentation/Swift/Float/radix) The radix, or base of exponentiation, for a floating-point type. [`static var signalingNaN: Float`](/documentation/Swift/Float/signalingNaN) A signaling NaN (“not a number”). [`static var ulpOfOne: Float`](/documentation/Swift/Float/ulpOfOne) The unit in the last place of 1.0. [`static var ulpOfOne: Self`](/documentation/Swift/Float/ulpOfOne-1s81z) The unit in the last place of 1.0. ### Type Methods [`static func maximum(Self, Self) -> Self`](/documentation/Swift/Float/maximum(_:_:)) Returns the greater of the two given values. [`static func maximumMagnitude(Self, Self) -> Self`](/documentation/Swift/Float/maximumMagnitude(_:_:)) Returns the value with greater magnitude. [`static func minimum(Self, Self) -> Self`](/documentation/Swift/Float/minimum(_:_:)) Returns the lesser of the two given values. [`static func minimumMagnitude(Self, Self) -> Self`](/documentation/Swift/Float/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)