--- title: Float framework: swift role: symbol role_heading: Structure path: swift/float --- # Float A single-precision (32-bit), floating-point value type. ## Declaration ```swift @frozen struct Float ``` ## Topics ### Converting Integers - [init(_:)](swift/float/init(_:)-7e965.md) - [init(_:)](swift/float/init(_:)-6cvkq.md) ### Converting Strings - [init(_:)](swift/float/init(_:)-h2f4.md) - [init(_:)](swift/float/init(_:)-4xsj6.md) ### Converting Floating-Point Values - [init(_:)](swift/float/init(_:)-1488f.md) - [init(_:)](swift/float/init(_:)-1oh9p.md) - [init(_:)](swift/float/init(_:)-1kp2p.md) - [init(_:)](swift/float/init(_:)-975tv.md) - [init(_:)](swift/float/init(_:)-11orc.md) - [init(_:)](swift/float/init(_:)-5soww.md) - [init(_:)](swift/float/init(_:)-ussz.md) - [init(signOf:magnitudeOf:)](swift/float/init(signof:magnitudeof:).md) - [init(sign:exponent:significand:)](swift/float/init(sign:exponent:significand:).md) - [init(truncating:)](swift/float/init(truncating:).md) ### Converting with No Loss of Precision - [init(exactly:)](swift/float/init(exactly:)-8esr8.md) - [init(exactly:)](swift/float/init(exactly:)-89na7.md) - [init(exactly:)](swift/float/init(exactly:)-89pn7.md) - [init(exactly:)](swift/float/init(exactly:)-6l5fa.md) - [init(exactly:)](swift/float/init(exactly:)-zknq.md) - [init(exactly:)](swift/float/init(exactly:)-1h1oe.md) - [init(exactly:)](swift/float/init(exactly:)-8ho5q.md) ### Creating a Random Value - [random(in:)](swift/float/random(in:)-6ided.md) - [random(in:using:)](swift/float/random(in:using:)-1m6gf.md) - [random(in:)](swift/float/random(in:)-5o5h8.md) - [random(in:using:)](swift/float/random(in:using:)-613hx.md) ### Performing Calculations - [Floating-Point Operators for Float](swift/floating-point-operators-for-float.md) - [addingProduct(_:_:)](swift/float/addingproduct(_:_:).md) - [addProduct(_:_:)](swift/float/addproduct(_:_:).md) - [squareRoot()](swift/float/squareroot().md) - [formSquareRoot()](swift/float/formsquareroot().md) - [remainder(dividingBy:)](swift/float/remainder(dividingby:).md) - [formRemainder(dividingBy:)](swift/float/formremainder(dividingby:).md) - [truncatingRemainder(dividingBy:)](swift/float/truncatingremainder(dividingby:).md) - [formTruncatingRemainder(dividingBy:)](swift/float/formtruncatingremainder(dividingby:).md) - [negate()](swift/float/negate().md) ### Rounding Values - [rounded()](swift/float/rounded().md) - [rounded(_:)](swift/float/rounded(_:).md) - [round()](swift/float/round().md) - [round(_:)](swift/float/round(_:).md) ### Comparing Values - [Floating-Point Operators for Float](swift/floating-point-operators-for-float.md) - [isEqual(to:)](swift/float/isequal(to:).md) - [isLess(than:)](swift/float/isless(than:).md) - [isLessThanOrEqualTo(_:)](swift/float/islessthanorequalto(_:).md) - [isTotallyOrdered(belowOrEqualTo:)](swift/float/istotallyordered(beloworequalto:).md) - [maximum(_:_:)](swift/float/maximum(_:_:).md) - [maximumMagnitude(_:_:)](swift/float/maximummagnitude(_:_:).md) - [minimum(_:_:)](swift/float/minimum(_:_:).md) - [minimumMagnitude(_:_:)](swift/float/minimummagnitude(_:_:).md) ### Finding the Sign and Magnitude - [magnitude](swift/float/magnitude-swift.property.md) - [sign](swift/float/sign.md) - [Float.Magnitude](swift/float/magnitude-swift.typealias.md) ### Querying a Float - [ulp](swift/float/ulp.md) - [significand](swift/float/significand.md) - [exponent](swift/float/exponent-swift.property.md) - [nextUp](swift/float/nextup.md) - [nextDown](swift/float/nextdown.md) - [binade](swift/float/binade.md) ### Accessing Numeric Constants - [pi](swift/float/pi.md) - [infinity](swift/float/infinity.md) - [greatestFiniteMagnitude](swift/float/greatestfinitemagnitude.md) - [nan](swift/float/nan.md) - [signalingNaN](swift/float/signalingnan.md) - [ulpOfOne](swift/float/ulpofone.md) - [leastNormalMagnitude](swift/float/leastnormalmagnitude.md) - [leastNonzeroMagnitude](swift/float/leastnonzeromagnitude.md) - [zero](swift/float/zero.md) ### Working with Binary Representation - [bitPattern](swift/float/bitpattern.md) - [significandBitPattern](swift/float/significandbitpattern.md) - [significandWidth](swift/float/significandwidth.md) - [exponentBitPattern](swift/float/exponentbitpattern.md) - [significandBitCount](swift/float/significandbitcount.md) - [exponentBitCount](swift/float/exponentbitcount.md) - [radix](swift/float/radix.md) - [init(bitPattern:)](swift/float/init(bitpattern:).md) - [init(sign:exponentBitPattern:significandBitPattern:)](swift/float/init(sign:exponentbitpattern:significandbitpattern:).md) - [init(nan:signaling:)](swift/float/init(nan:signaling:).md) - [Float.Exponent](swift/float/exponent-swift.typealias.md) - [Float.RawSignificand](swift/float/rawsignificand.md) ### Querying a Float’s State - [isZero](swift/float/iszero.md) - [isFinite](swift/float/isfinite.md) - [isInfinite](swift/float/isinfinite.md) - [isNaN](swift/float/isnan.md) - [isSignalingNaN](swift/float/issignalingnan.md) - [isNormal](swift/float/isnormal.md) - [isSubnormal](swift/float/issubnormal.md) - [isCanonical](swift/float/iscanonical.md) - [floatingPointClass](swift/float/floatingpointclass.md) ### Encoding and Decoding Values - [encode(to:)](swift/float/encode(to:).md) - [init(from:)](swift/float/init(from:).md) ### Creating a Range - [...(_:_:)](swift/float/'...(_:_:).md) ### Describing a Float - [hash(into:)](swift/float/hash(into:).md) - [description](swift/float/description.md) - [debugDescription](swift/float/debugdescription.md) - [customMirror](swift/float/custommirror.md) - [hashValue](swift/float/hashvalue.md) ### SIMD-Supporting Types - [Float.SIMDMaskScalar](swift/float/simdmaskscalar.md) - [Float.SIMD2Storage](swift/float/simd2storage.md) - [Float.SIMD4Storage](swift/float/simd4storage.md) - [Float.SIMD8Storage](swift/float/simd8storage.md) - [Float.SIMD16Storage](swift/float/simd16storage.md) - [Float.SIMD32Storage](swift/float/simd32storage.md) - [Float.SIMD64Storage](swift/float/simd64storage.md) ### Infrequently Used Functionality - [init()](swift/float/init().md) - [init(integerLiteral:)](swift/float/init(integerliteral:).md) - [init(floatLiteral:)](swift/float/init(floatliteral:).md) - [init(integerLiteral:)](swift/float/init(integerliteral:)-6hc7h.md) - [advanced(by:)](swift/float/advanced(by:).md) - [distance(to:)](swift/float/distance(to:).md) - [write(to:)](swift/float/write(to:).md) ### Deprecated - [init(_:)](swift/float/init(_:)-7dbrz.md) - [customPlaygroundQuickLook](swift/float/customplaygroundquicklook.md) ### Type Properties - [mlMultiArrayDataType](swift/float/mlmultiarraydatatype.md) ### Default Implementations - [AdditiveArithmetic Implementations](swift/float/additivearithmetic-implementations.md) - [AtomicRepresentable Implementations](swift/float/atomicrepresentable-implementations.md) - [BinaryFloatingPoint Implementations](swift/float/binaryfloatingpoint-implementations.md) - [Comparable Implementations](swift/float/comparable-implementations.md) - [CustomDebugStringConvertible Implementations](swift/float/customdebugstringconvertible-implementations.md) - [CustomReflectable Implementations](swift/float/customreflectable-implementations.md) - [CustomStringConvertible Implementations](swift/float/customstringconvertible-implementations.md) - [Decodable Implementations](swift/float/decodable-implementations.md) - [Encodable Implementations](swift/float/encodable-implementations.md) - [Equatable Implementations](swift/float/equatable-implementations.md) - [ExpressibleByFloatLiteral Implementations](swift/float/expressiblebyfloatliteral-implementations.md) - [ExpressibleByIntegerLiteral Implementations](swift/float/expressiblebyintegerliteral-implementations.md) - [FloatingPoint Implementations](swift/float/floatingpoint-implementations.md) - [Hashable Implementations](swift/float/hashable-implementations.md) - [LosslessStringConvertible Implementations](swift/float/losslessstringconvertible-implementations.md) - [Numeric Implementations](swift/float/numeric-implementations.md) - [OperationParameter Implementations](swift/float/operationparameter-implementations.md) - [SIMDScalar Implementations](swift/float/simdscalar-implementations.md) - [SignedNumeric Implementations](swift/float/signednumeric-implementations.md) - [Strideable Implementations](swift/float/strideable-implementations.md) - [TextOutputStreamable Implementations](swift/float/textoutputstreamable-implementations.md) ## Relationships ### Conforms To - [AdditiveArithmetic](swift/additivearithmetic.md) - [AnimatableData](realitykit/animatabledata.md) - [AtomicRepresentable](synchronization/atomicrepresentable.md) - [BNNSGraph.Builder.OperationParameter](accelerate/bnnsgraph/builder/operationparameter.md) - [BNNSScalar](accelerate/bnnsscalar.md) - [BinaryFloatingPoint](swift/binaryfloatingpoint.md) - [BindableData](realitykit/bindabledata.md) - [BitwiseCopyable](swift/bitwisecopyable.md) - [CKRecordValueProtocol](cloudkit/ckrecordvalueprotocol.md) - [CVAttachmentValueRepresentable](corevideo/cvattachmentvaluerepresentable.md) - [CVarArg](swift/cvararg.md) - [Comparable](swift/comparable.md) - [ConvertibleFromGeneratedContent](foundationmodels/convertiblefromgeneratedcontent.md) - [ConvertibleToGeneratedContent](foundationmodels/convertibletogeneratedcontent.md) - [Copyable](swift/copyable.md) - [CustomDebugStringConvertible](swift/customdebugstringconvertible.md) - [CustomReflectable](swift/customreflectable.md) - [CustomStringConvertible](swift/customstringconvertible.md) - [Decodable](swift/decodable.md) - [Encodable](swift/encodable.md) - [EntityIdentifierConvertible](appintents/entityidentifierconvertible.md) - [Equatable](swift/equatable.md) - [Escapable](swift/escapable.md) - [ExpressibleByFloatLiteral](swift/expressiblebyfloatliteral.md) - [ExpressibleByIntegerLiteral](swift/expressiblebyintegerliteral.md) - [FloatingPoint](swift/floatingpoint.md) - [Generable](foundationmodels/generable.md) - [Hashable](swift/hashable.md) - [InstructionsRepresentable](foundationmodels/instructionsrepresentable.md) - [LosslessStringConvertible](swift/losslessstringconvertible.md) - [MLShapedArrayScalar](coreml/mlshapedarrayscalar.md) - [MLTensorScalar](coreml/mltensorscalar.md) - [Numeric](swift/numeric.md) - [Plottable](charts/plottable.md) - [PrimitivePlottableProtocol](charts/primitiveplottableprotocol.md) - [PromptRepresentable](foundationmodels/promptrepresentable.md) - [SIMDScalar](swift/simdscalar.md) - [Sendable](swift/sendable.md) - [SendableMetatype](swift/sendablemetatype.md) - [SignedNumeric](swift/signednumeric.md) - [Strideable](swift/strideable.md) - [TextOutputStreamable](swift/textoutputstreamable.md) - [USDPrim.Attribute.MetadataValue](usdkit/usdprim/attribute/metadatavalue.md) - [USDPrim.Attribute.Value](usdkit/usdprim/attribute/value.md) - [USDValueProtocol](usdkit/usdvalueprotocol.md) - [VectorArithmetic](swiftui/vectorarithmetic.md) - [vDSP_DiscreteFourierTransformable](accelerate/vdsp_discretefouriertransformable.md) - [vDSP_FloatingPointBiquadFilterable](accelerate/vdsp_floatingpointbiquadfilterable.md) - [vDSP_FloatingPointConvertable](accelerate/vdsp_floatingpointconvertable.md) - [vDSP_FloatingPointDiscreteFourierTransformable](accelerate/vdsp_floatingpointdiscretefouriertransformable.md) - [vDSP_FloatingPointGeneratable](accelerate/vdsp_floatingpointgeneratable.md) ## See Also ### Numeric Values - [Int](swift/int.md) - [Double](swift/double.md)