From 43f967f9a4c6172111343d148126c4c64460a238 Mon Sep 17 00:00:00 2001 From: Michael Griebling Date: Fri, 11 Oct 2024 11:37:21 -0400 Subject: [PATCH] Updated documentation. --- .../UserInterfaceState.xcuserstate | Bin 189012 -> 206908 bytes BigDecimal.doccarchive/css/866.60f074fd.css | 9 + BigDecimal.doccarchive/css/989.4f123103.css | 9 + .../css/documentation-topic.91c07ba9.css | 9 + BigDecimal.doccarchive/css/index.3a335429.css | 9 + BigDecimal.doccarchive/css/topic.4be8f56d.css | 9 + .../css/tutorials-overview.7942d777.css | 9 + .../data/documentation/bigdecimal.json | 1 + .../bigdecimal/asincalculator.json | 1 + .../asincalculator/addfactor(_:).json | 1 + .../asincalculator/calculate(_:_:).json | 1 + .../asincalculator/calculateinpairs.json | 1 + .../asincalculator/calculatenextfactor().json | 1 + .../createpoweriterator(_:_:).json | 1 + .../bigdecimal/asincalculator/factors.json | 1 + .../asincalculator/getcurrentfactor().json | 1 + .../asincalculator/getfactor(_:).json | 1 + 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.../decimal128/minimummagnitude(_:_:).json | 1 - .../decimal128/multiplied(by:rounding:).json | 1 - .../decimal128/multiply(by:rounding:).json | 1 - .../bigdecimal/decimal128/negate()-3zqkh.json | 1 - .../bigdecimal/decimal128/negate()-4sv60.json | 1 - .../bigdecimal/decimal128/nextdown.json | 1 - .../bigdecimal/decimal128/nextup.json | 1 - .../decimal128/numeric-implementations.json | 1 - .../bigdecimal/decimal128/pi.json | 1 - .../bigdecimal/decimal128/radix.json | 1 - .../decimal128/random(in:)-71re2.json | 1 - .../decimal128/random(in:)-7nsg5.json | 1 - .../decimal128/random(in:using:)-7pt1y.json | 1 - .../decimal128/random(in:using:)-rc8g.json | 1 - .../bigdecimal/decimal128/rawsignificand.json | 1 - .../decimal128/remainder(dividingby:).json | 1 - .../bigdecimal/decimal128/round().json | 1 - .../bigdecimal/decimal128/round(_:).json | 1 - .../bigdecimal/decimal128/rounded().json | 1 - .../bigdecimal/decimal128/rounded(_:).json | 1 - .../signednumeric-implementations.json | 1 - .../bigdecimal/decimal128/significand.json | 1 - .../decimal128/significanddigitcount.json | 1 - .../bigdecimal/decimal128/squareroot().json | 1 - .../decimal128/squareroot(rounding:).json | 1 - .../strideable-implementations.json | 1 - .../decimal128/subtract(other:rounding:).json | 1 - .../subtracting(other:rounding:).json | 1 - .../truncatingremainder(dividingby:).json | 1 - .../bigdecimal/decimal128/ulp.json | 1 - .../bigdecimal/decimal128/ulpofone.json | 1 - .../bigdecimal/decimal128/zero-7qlfc.json | 1 - .../bigdecimal/decimal128/zero-8w4xn.json | 1 - .../documentation/bigdecimal/decimal32.json | 1 - .../bigdecimal/decimal32/!=(_:_:).json | 1 - .../bigdecimal/decimal32/'...(_:)-5lgrc.json | 1 - .../bigdecimal/decimal32/'...(_:)-8fycl.json | 1 - .../bigdecimal/decimal32/'...(_:_:).json | 1 - .../bigdecimal/decimal32/'.._(_:).json | 1 - .../bigdecimal/decimal32/'.._(_:_:).json | 1 - .../bigdecimal/decimal32/(_:_:).json | 1 - .../bigdecimal/decimal32/*(_:_:).json | 1 - 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.../bigdecimal/decimal32/_=(_:_:)-811ht.json | 1 - .../bigdecimal/decimal32/_=(_:_:)-8r746.json | 1 - .../decimal32/add(other:rounding:).json | 1 - .../decimal32/adding(other:rounding:).json | 1 - .../decimal32/addingproduct(_:_:).json | 1 - .../addingproduct(_:_:rounding:).json | 1 - .../additivearithmetic-implementations.json | 1 - .../decimal32/addproduct(_:_:).json | 1 - .../decimal32/addproduct(_:_:rounding:).json | 1 - .../bigdecimal/decimal32/advanced(by:).json | 1 - .../bigdecimal/decimal32/bitpattern(_:).json | 1 - .../decimal32/comparable-implementations.json | 1 - ...stomstringconvertible-implementations.json | 1 - .../bigdecimal/decimal32/decade.json | 1 - .../decimalfloatingpoint-implementations.json | 1 - .../decimaltype-implementations.json | 1 - .../bigdecimal/decimal32/description.json | 1 - .../bigdecimal/decimal32/distance(to:).json | 1 - .../decimal32/divide(by:rounding:).json | 1 - .../decimal32/divided(by:rounding:).json | 1 - .../decimal32/equatable-implementations.json | 1 - .../bigdecimal/decimal32/exponent.json | 1 - ...raphemeclusterliteral-implementations.json | 1 - ...essiblebyfloatliteral-implementations.json | 1 - ...siblebyintegerliteral-implementations.json | 1 - ...ssiblebystringliteral-implementations.json | 1 - ...yunicodescalarliteral-implementations.json | 1 - .../floatingpoint-implementations.json | 1 - .../decimal32/floatingpointclass.json | 1 - .../decimal32/formremainder(dividingby:).json | 1 - .../decimal32/formsquareroot().json | 1 - .../decimal32/formsquareroot(rounding:).json | 1 - .../formtruncatingremainder(dividingby:).json | 1 - .../decimal32/greatestfinitemagnitude.json | 1 - .../bigdecimal/decimal32/id.json | 1 - .../bigdecimal/decimal32/infinity.json | 1 - .../bigdecimal/decimal32/init(_:)-15epx.json | 1 - .../bigdecimal/decimal32/init(_:)-2ax9m.json | 1 - .../bigdecimal/decimal32/init(_:)-300tg.json | 1 - .../bigdecimal/decimal32/init(_:)-6do58.json | 1 - .../decimal32/init(_:rounding:).json | 1 - .../decimal32/init(bitpattern:encoding:).json | 1 - .../decimal32/init(exactly:)-3277s.json | 1 - .../decimal32/init(exactly:)-3qco2.json | 1 - .../decimal32/init(exactly:)-7onef.json | 1 - ...init(extendedgraphemeclusterliteral:).json | 1 - .../decimal32/init(floatliteral:).json | 1 - .../bigdecimal/decimal32/init(from:).json | 1 - .../decimal32/init(integerliteral:).json | 1 - .../init(sign:exponent:significand:).json | 1 - ...entbitpattern:significandbitpattern:).json | 1 - .../decimal32/init(signof:magnitudeof:).json | 1 - .../decimal32/init(stringliteral:).json | 1 - .../init(unicodescalarliteral:).json | 1 - .../bigdecimal/decimal32/isequal(to:).json | 1 - .../bigdecimal/decimal32/isless(than:).json | 1 - .../decimal32/islessthanorequalto(_:).json | 1 - .../istotallyordered(beloworequalto:).json | 1 - .../decimal32/leastnonzeromagnitude.json | 1 - .../decimal32/leastnormalmagnitude.json | 1 - ...lessstringconvertible-implementations.json | 1 - .../bigdecimal/decimal32/magnitude.json | 1 - .../bigdecimal/decimal32/maximum(_:_:).json | 1 - .../decimal32/maximummagnitude(_:_:).json | 1 - .../bigdecimal/decimal32/minimum(_:_:).json | 1 - .../decimal32/minimummagnitude(_:_:).json | 1 - .../decimal32/multiplied(by:rounding:).json | 1 - .../decimal32/multiply(by:rounding:).json | 1 - .../bigdecimal/decimal32/negate()-5q8y7.json | 1 - .../bigdecimal/decimal32/negate()-7y1n3.json | 1 - .../bigdecimal/decimal32/nextdown.json | 1 - .../bigdecimal/decimal32/nextup.json | 1 - .../decimal32/numeric-implementations.json | 1 - .../bigdecimal/decimal32/pi.json | 1 - .../bigdecimal/decimal32/radix.json | 1 - .../decimal32/random(in:)-3akit.json | 1 - .../decimal32/random(in:)-71p4.json | 1 - .../decimal32/random(in:using:)-4w7uo.json | 1 - .../decimal32/random(in:using:)-503eg.json | 1 - .../bigdecimal/decimal32/rawbitpattern.json | 1 - .../bigdecimal/decimal32/rawsignificand.json | 1 - .../decimal32/remainder(dividingby:).json | 1 - .../bigdecimal/decimal32/round().json | 1 - .../bigdecimal/decimal32/round(_:).json | 1 - .../bigdecimal/decimal32/rounded().json | 1 - .../bigdecimal/decimal32/rounded(_:).json | 1 - .../signednumeric-implementations.json | 1 - .../bigdecimal/decimal32/significand.json | 1 - .../decimal32/significanddigitcount.json | 1 - .../bigdecimal/decimal32/squareroot().json | 1 - .../decimal32/squareroot(rounding:).json | 1 - .../decimal32/strideable-implementations.json | 1 - .../decimal32/subtract(other:rounding:).json | 1 - .../subtracting(other:rounding:).json | 1 - .../truncatingremainder(dividingby:).json | 1 - .../bigdecimal/decimal32/ulp.json | 1 - .../bigdecimal/decimal32/ulpofone.json | 1 - .../bigdecimal/decimal32/zero-1f3tt.json | 1 - .../bigdecimal/decimal32/zero-63dsi.json | 1 - .../documentation/bigdecimal/decimal64.json | 1 - .../bigdecimal/decimal64/!=(_:_:).json | 1 - .../bigdecimal/decimal64/'...(_:)-62au3.json | 1 - .../bigdecimal/decimal64/'...(_:)-8wr4a.json | 1 - .../bigdecimal/decimal64/'...(_:_:).json | 1 - .../bigdecimal/decimal64/'.._(_:).json | 1 - .../bigdecimal/decimal64/'.._(_:_:).json | 1 - .../bigdecimal/decimal64/(_:_:).json | 1 - .../bigdecimal/decimal64/*(_:_:).json | 1 - .../bigdecimal/decimal64/*=(_:_:).json | 1 - .../bigdecimal/decimal64/+(_:).json | 1 - .../bigdecimal/decimal64/+(_:_:).json | 1 - .../bigdecimal/decimal64/+=(_:_:).json | 1 - .../bigdecimal/decimal64/-(_:).json | 1 - .../bigdecimal/decimal64/-(_:_:).json | 1 - .../bigdecimal/decimal64/-=(_:_:).json | 1 - .../bigdecimal/decimal64/=(_:_:).json | 1 - .../bigdecimal/decimal64/==(_:_:)-29d87.json | 1 - .../bigdecimal/decimal64/==(_:_:)-4xl8m.json | 1 - .../bigdecimal/decimal64/==(_:_:)-51lv7.json | 1 - .../bigdecimal/decimal64/_(_:_:)-2jt1i.json | 1 - .../bigdecimal/decimal64/_(_:_:)-2lkk6.json | 1 - .../bigdecimal/decimal64/_(_:_:)-38hg5.json | 1 - .../bigdecimal/decimal64/_(_:_:)-3w00b.json | 1 - .../bigdecimal/decimal64/_(_:_:)-4b911.json | 1 - .../bigdecimal/decimal64/_(_:_:)-5u3mc.json | 1 - .../bigdecimal/decimal64/_=(_:_:)-1eul6.json | 1 - .../bigdecimal/decimal64/_=(_:_:)-1l9pm.json | 1 - .../bigdecimal/decimal64/_=(_:_:)-5267s.json | 1 - .../bigdecimal/decimal64/_=(_:_:)-7wd72.json | 1 - .../bigdecimal/decimal64/_=(_:_:)-8gro9.json | 1 - .../decimal64/add(other:rounding:).json | 1 - .../decimal64/adding(other:rounding:).json | 1 - .../decimal64/addingproduct(_:_:).json | 1 - .../addingproduct(_:_:rounding:).json | 1 - .../additivearithmetic-implementations.json | 1 - .../decimal64/addproduct(_:_:).json | 1 - .../decimal64/addproduct(_:_:rounding:).json | 1 - .../bigdecimal/decimal64/advanced(by:).json | 1 - .../bigdecimal/decimal64/bitpattern(_:).json | 1 - .../decimal64/comparable-implementations.json | 1 - ...stomstringconvertible-implementations.json | 1 - .../bigdecimal/decimal64/decade.json | 1 - .../decimalfloatingpoint-implementations.json | 1 - .../decimaltype-implementations.json | 1 - .../bigdecimal/decimal64/description.json | 1 - .../bigdecimal/decimal64/distance(to:).json | 1 - .../decimal64/divide(by:rounding:).json | 1 - .../decimal64/divided(by:rounding:).json | 1 - .../decimal64/equatable-implementations.json | 1 - .../bigdecimal/decimal64/exponent.json | 1 - ...raphemeclusterliteral-implementations.json | 1 - ...essiblebyfloatliteral-implementations.json | 1 - ...siblebyintegerliteral-implementations.json | 1 - ...ssiblebystringliteral-implementations.json | 1 - ...yunicodescalarliteral-implementations.json | 1 - .../floatingpoint-implementations.json | 1 - .../decimal64/floatingpointclass.json | 1 - .../decimal64/formremainder(dividingby:).json | 1 - .../decimal64/formsquareroot().json | 1 - .../decimal64/formsquareroot(rounding:).json | 1 - .../formtruncatingremainder(dividingby:).json | 1 - .../decimal64/greatestfinitemagnitude.json | 1 - .../bigdecimal/decimal64/id.json | 1 - .../bigdecimal/decimal64/infinity.json | 1 - .../bigdecimal/decimal64/init(_:)-2sv61.json | 1 - .../bigdecimal/decimal64/init(_:)-458ul.json | 1 - .../bigdecimal/decimal64/init(_:)-62yz7.json | 1 - .../decimal64/init(_:rounding:).json | 1 - .../bigdecimal/decimal64/init(bid:).json | 1 - .../decimal64/init(bitpattern:encoding:).json | 1 - .../decimal64/init(exactly:)-2k6yv.json | 1 - .../decimal64/init(exactly:)-399z5.json | 1 - .../decimal64/init(exactly:)-85q94.json | 1 - ...init(extendedgraphemeclusterliteral:).json | 1 - .../decimal64/init(floatliteral:).json | 1 - .../bigdecimal/decimal64/init(from:).json | 1 - .../decimal64/init(integerliteral:).json | 1 - .../init(sign:exponent:significand:).json | 1 - ...entbitpattern:significandbitpattern:).json | 1 - .../decimal64/init(signof:magnitudeof:).json | 1 - .../decimal64/init(stringliteral:).json | 1 - .../init(unicodescalarliteral:).json | 1 - .../bigdecimal/decimal64/isequal(to:).json | 1 - .../bigdecimal/decimal64/isless(than:).json | 1 - .../decimal64/islessthanorequalto(_:).json | 1 - .../istotallyordered(beloworequalto:).json | 1 - .../decimal64/leastnonzeromagnitude.json | 1 - .../decimal64/leastnormalmagnitude.json | 1 - ...lessstringconvertible-implementations.json | 1 - .../bigdecimal/decimal64/magnitude.json | 1 - .../bigdecimal/decimal64/maximum(_:_:).json | 1 - .../decimal64/maximummagnitude(_:_:).json | 1 - .../bigdecimal/decimal64/minimum(_:_:).json | 1 - .../decimal64/minimummagnitude(_:_:).json | 1 - .../decimal64/multiplied(by:rounding:).json | 1 - .../decimal64/multiply(by:rounding:).json | 1 - .../bigdecimal/decimal64/negate()-672w4.json | 1 - .../bigdecimal/decimal64/negate()-8m6ks.json | 1 - .../bigdecimal/decimal64/nextdown.json | 1 - .../bigdecimal/decimal64/nextup.json | 1 - .../decimal64/numeric-implementations.json | 1 - .../bigdecimal/decimal64/pi.json | 1 - .../bigdecimal/decimal64/radix.json | 1 - .../decimal64/random(in:)-3rnay.json | 1 - .../decimal64/random(in:)-o4hj.json | 1 - .../decimal64/random(in:using:)-5d0kv.json | 1 - .../decimal64/random(in:using:)-5i07b.json | 1 - .../bigdecimal/decimal64/rawsignificand.json | 1 - .../decimal64/remainder(dividingby:).json | 1 - .../bigdecimal/decimal64/round().json | 1 - .../bigdecimal/decimal64/round(_:).json | 1 - .../bigdecimal/decimal64/rounded().json | 1 - .../bigdecimal/decimal64/rounded(_:).json | 1 - .../signednumeric-implementations.json | 1 - .../bigdecimal/decimal64/significand.json | 1 - .../decimal64/significanddigitcount.json | 1 - .../bigdecimal/decimal64/squareroot().json | 1 - .../decimal64/squareroot(rounding:).json | 1 - .../decimal64/strideable-implementations.json | 1 - .../decimal64/subtract(other:rounding:).json | 1 - .../subtracting(other:rounding:).json | 1 - .../truncatingremainder(dividingby:).json | 1 - .../bigdecimal/decimal64/ulp.json | 1 - .../bigdecimal/decimal64/ulpofone.json | 1 - .../bigdecimal/decimal64/zero-1x0ge.json | 1 - .../bigdecimal/decimal64/zero-3rnlv.json | 1 - .../bigdecimal/decimalfloatingpoint.json | 1 - .../decimalfloatingpoint/decade.json | 1 - .../exponentbitcount.json | 1 - .../exponentbitpattern.json | 1 - .../decimalfloatingpoint/init(_:)-2988l.json | 1 - .../decimalfloatingpoint/init(_:)-31s3n.json | 1 - .../decimalfloatingpoint/init(_:)-8m3u.json | 1 - .../init(_:rounding:).json | 1 - .../init(exactly:)-58sdf.json | 1 - .../init(exactly:)-5xe57.json | 1 - .../init(exactly:)-9aknw.json | 1 - .../init(exactly:)-9ykft.json | 1 - ...entbitpattern:significandbitpattern:).json | 1 - .../init(signof:magnitudeof:).json | 1 - .../istotallyordered(beloworequalto:).json | 1 - .../decimalfloatingpoint/radix.json | 1 - .../random(in:)-974em.json | 1 - .../random(in:)-f0rr.json | 1 - .../random(in:using:)-1jn6r.json | 1 - .../random(in:using:)-3sbqu.json | 1 - .../decimalfloatingpoint/rawsignificand.json | 1 - .../significandbitpattern.json | 1 - .../significanddigitcount-swift.property.json | 1 - ...ificanddigitcount-swift.type.property.json | 1 - .../bigdecimal/expcalculator.json | 1 - .../expcalculator/addfactor(_:).json | 1 - .../expcalculator/calculate(_:_:).json | 1 - .../expcalculator/calculateinpairs.json | 1 - .../expcalculator/calculatenextfactor().json | 1 - .../createpoweriterator(_:_:).json | 1 - .../bigdecimal/expcalculator/factors.json | 1 - .../expcalculator/getcurrentfactor().json | 1 - .../expcalculator/getfactor(_:).json | 1 - .../bigdecimal/expcalculator/init().json | 1 - .../bigdecimal/expcalculator/init(_:).json | 1 - .../bigdecimal/expcalculator/instance.json | 1 - .../seriescalculator-implementations.json | 1 - .../documentation/bigdecimal/intrange.json | 1 - .../bigdecimal/poweriterator.json | 1 - .../poweriterator/calculatenextpower().json | 1 - .../poweriterator/getcurrentpower().json | 1 - .../bigdecimal/powerniterator.json | 1 - .../powerniterator/calculatenextpower().json | 1 - .../powerniterator/getcurrentpower().json | 1 - .../bigdecimal/powertwoniterator.json | 1 - .../calculatenextpower().json | 1 - .../powertwoniterator/getcurrentpower().json | 1 - .../bigdecimal/powertwonplusoneiterator.json | 1 - .../calculatenextpower().json | 1 - .../getcurrentpower().json | 1 - .../documentation/bigdecimal/rounding.json | 1 - .../bigdecimal/rounding/!=(_:_:).json | 1 - .../bigdecimal/rounding/decimal128.json | 1 - .../bigdecimal/rounding/decimal32.json | 1 - .../bigdecimal/rounding/decimal64.json | 1 - .../rounding/equatable-implementations.json | 1 - .../bigdecimal/rounding/init(_:_:).json | 1 - .../bigdecimal/rounding/mode.json | 1 - .../bigdecimal/rounding/precision.json | 1 - .../bigdecimal/rounding/round(_:).json | 1 - .../bigdecimal/roundingrule.json | 1 - .../bigdecimal/seriescalculator.json | 1 - .../seriescalculator/addfactor(_:)-1e8ya.json | 1 - .../seriescalculator/addfactor(_:)-leer.json | 1 - .../seriescalculator/bigrational.json | 1 - .../calculate(_:_:)-23zsk.json | 1 - .../calculate(_:_:)-87bbo.json | 1 - .../seriescalculator/calculateinpairs.json | 1 - .../calculatenextfactor().json | 1 - .../createpoweriterator(_:_:).json | 1 - .../bigdecimal/seriescalculator/factors.json | 1 - .../seriescalculator/getcurrentfactor().json | 1 - .../seriescalculator/getfactor(_:)-4v6l7.json | 1 - .../seriescalculator/getfactor(_:)-6oudd.json | 1 - .../bigdecimal/seriescalculator/init().json | 1 - .../seriescalculator/init(_:)-3mnwt.json | 1 - .../seriescalculator/init(_:)-4vmv3.json | 1 - .../data/documentation/bigdecimal/sign.json | 1 - .../bigdecimal/sincalculator.json | 1 - .../sincalculator/addfactor(_:).json | 1 - .../sincalculator/calculate(_:_:).json | 1 - .../sincalculator/calculateinpairs.json | 1 - .../sincalculator/calculatenextfactor().json | 1 - .../createpoweriterator(_:_:).json | 1 - .../bigdecimal/sincalculator/factors.json | 1 - .../sincalculator/getcurrentfactor().json | 1 - .../sincalculator/getfactor(_:).json | 1 - .../bigdecimal/sincalculator/init().json | 1 - 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"},{"type":"codeVoice","code":">="}],"type":"paragraph"}]},{"content":[{"type":"paragraph","inlineContent":[{"text":"Conversion: to String, to Double, to Decimal (the Swift Foundation type), to","type":"text"},{"type":"text","text":" "},{"text":"Decimal32 \/ Decimal64 \/ Decimal128","type":"text"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"Support for Decimal32, Decimal64 and Decimal128 values stored as UInt32,"},{"type":"text","text":" "},{"type":"text","text":"UInt64 and UInt128 values respectively, using Densely Packed Decimal (DPD)"},{"text":" ","type":"text"},{"type":"text","text":"encoding or Binary Integer Decimal (BID) encoding"}]}]},{"content":[{"inlineContent":[{"type":"text","text":"Support for Decimal32, Decimal64 and Decimal128 mathematical operations"}],"type":"paragraph"}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"Supports the IEEE 754 concepts of Infinity and NaN (Not a Number) with the"},{"text":" ","type":"text"},{"text":"latter having a ","type":"text"},{"type":"codeVoice","code":"signaling"},{"text":" option.","type":"text"}]}]}]},{"text":"Dependencies","type":"heading","level":2,"anchor":"Dependencies"},{"type":"paragraph","inlineContent":[{"text":"BigDecimal requires Swift from macOS 13.3+, iOS 16.4+, macCatalyst 16.4+,","type":"text"},{"text":" ","type":"text"},{"type":"text","text":"tvOS 16.4+, or watchOS 9.4+. It also requires that the "},{"type":"codeVoice","code":"Int"},{"text":" type be a 64-bit","type":"text"},{"text":" ","type":"text"},{"text":"type.","type":"text"}]},{"inlineContent":[{"type":"text","text":"The BigDecimal package depends on the BigInt and UInt128 packages."}],"type":"paragraph"},{"type":"codeListing","syntax":null,"code":["dependencies: ["," .package(url: \"https:\/\/github.com\/mgriebling\/BigInt.git\", from: \"2.0.0\"),"," .package(url: \"https:\/\/github.com\/mgriebling\/UInt128.git\", from: \"3.0.0\")","]"]},{"type":"heading","anchor":"Usage","text":"Usage","level":2},{"type":"paragraph","inlineContent":[{"text":"In your project’s Package.swift file add a dependency like","type":"text"}]},{"code":["dependencies: ["," .package(url: \"https:\/\/github.com\/mgriebling\/BigDecimal.git\", from: \"2.0.0\"),","]"],"type":"codeListing","syntax":null},{"level":2,"type":"heading","text":"Basics","anchor":"Basics"},{"text":"Creating 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values","let x32 = BigDecimal(UInt32(0x223000f0), .dpd) \/\/ = 1.70","let x64 = BigDecimal(UInt64(0x22300000000000f0), .dpd) \/\/ = 1.70","let x128 = BigDecimal(UInt128(0x2207800000000000, 0x00000000000000f0), .dpd) \/\/ = 1.70"],"syntax":"swift"},{"type":"paragraph","inlineContent":[{"type":"text","text":"Because Double values cannot represent all decimal values exactly,"},{"text":" ","type":"text"},{"type":"text","text":"one sees that BigDecimal(0.1) is not exactly equal to 1 \/ 10 as one might expect."},{"type":"text","text":" "},{"type":"text","text":"On the other hand, BigDecimal(“0.1”) is in fact exactly equal to 1 \/ 10."}]},{"level":3,"text":"Converting BigDecimal’s","type":"heading","anchor":"Converting-BigDecimals"},{"inlineContent":[{"type":"reference","identifier":"doc:\/\/bigdecimal.BigDecimal\/documentation\/BigDecimal\/BigDecimal","isActive":true},{"text":" values can be converted to ","type":"text"},{"code":"String","type":"codeVoice"},{"type":"text","text":" values, "},{"code":"Double","type":"codeVoice"},{"text":" values,","type":"text"},{"type":"text","text":" "},{"type":"codeVoice","code":"Decimal"},{"type":"text","text":" (the Swift Foundation type) values, and "},{"type":"reference","identifier":"doc:\/\/bigdecimal.BigDecimal\/documentation\/BigDecimal\/Decimal32","isActive":true},{"text":", ","type":"text"},{"identifier":"doc:\/\/bigdecimal.BigDecimal\/documentation\/BigDecimal\/Decimal64","type":"reference","isActive":true},{"text":",","type":"text"},{"text":" ","type":"text"},{"type":"text","text":"and "},{"identifier":"doc:\/\/bigdecimal.BigDecimal\/documentation\/BigDecimal\/Decimal128","isActive":true,"type":"reference"},{"text":" values.","type":"text"}],"type":"paragraph"},{"level":4,"text":"To String","type":"heading","anchor":"To-String"},{"code":["let x1 = BigDecimal(\"2.1\").pow(3)","print(x1.asString()) \/\/ = 9.261"],"syntax":"swift","type":"codeListing"},{"anchor":"To-Double","level":4,"text":"To Double","type":"heading"},{"type":"codeListing","syntax":"swift","code":["let x2 = BigDecimal(\"2.1\").pow(3)","print(x2.asDouble()) \/\/ = 9.261"]},{"text":"To Decimal (the Swift Foundation type)","level":4,"anchor":"To-Decimal-the-Swift-Foundation-type","type":"heading"},{"syntax":"swift","type":"codeListing","code":["let x3 = BigDecimal(\"1.70\")","let xd: Decimal = x3.asDecimal()","print(xd) \/\/ = 1.70"]},{"type":"heading","anchor":"To-Decimal32--64--128","level":4,"text":"To Decimal32 \/ 64 \/ 128"},{"type":"codeListing","code":["let x4 = BigDecimal(\"1.70\")","let x32: UInt32 = x4.asDecimal32(.dpd)","let x64: UInt64 = x4.asDecimal64(.dpd)","let x128: UInt128 = x4.asDecimal128(.dpd)","print(String(x32, radix: 16)) \/\/ = 223000f0","print(String(x64, radix: 16)) \/\/ = 22300000000000f0","print(String(x128, radix: 16)) \/\/ = 220780000000000000000000000000f0"],"syntax":"swift"},{"level":3,"type":"heading","anchor":"Comparing-BigDecimals","text":"Comparing 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If neither of the operands is NaN, the operators perform as expected."},{"type":"text","text":" "},{"type":"text","text":"For example, -"},{"isActive":true,"type":"reference","identifier":"doc:\/\/bigdecimal.BigDecimal\/documentation\/BigDecimal\/BigDecimal\/infinity"},{"type":"text","text":" is less than any finite number which in"},{"text":" ","type":"text"},{"type":"text","text":"turn is less than +"},{"isActive":true,"identifier":"doc:\/\/bigdecimal.BigDecimal\/documentation\/BigDecimal\/BigDecimal\/infinity","type":"reference"},{"type":"text","text":"."}],"type":"paragraph"},{"type":"paragraph","inlineContent":[{"type":"text","text":"Please see the section "},{"type":"emphasis","inlineContent":[{"text":"About NaN’s","type":"text"}]},{"type":"text","text":" for the rules governing comparison involving NaN’s."}]},{"inlineContent":[{"text":"The static function ","type":"text"},{"type":"codeVoice","code":"BigDecimal.maximum(x:y:)"},{"text":" returns the non-NaN number if","type":"text"},{"type":"text","text":" "},{"type":"text","text":"either x or y is NaN; otherwise it returns the larger of x and y."}],"type":"paragraph"},{"type":"paragraph","inlineContent":[{"type":"text","text":"The static function "},{"code":"BigDecimal.minimum(x:y:)","type":"codeVoice"},{"text":" returns the non-NaN number if","type":"text"},{"type":"text","text":" "},{"type":"text","text":"either x or y is NaN; otherwise it returns the smaller of x and y."}]},{"anchor":"Exact-Arithmetic","level":3,"text":"Exact Arithmetic","type":"heading"},{"inlineContent":[{"text":"The ‘+’, ‘-’, and ‘*’ operators always produce exact results. The ‘\/’ operator","type":"text"},{"text":" ","type":"text"},{"type":"text","text":"truncates the exact result to an integer."}],"type":"paragraph"},{"type":"codeListing","syntax":"swift","code":["let a = BigDecimal(\"25.1\")","let b = BigDecimal(\"12.0041\")","","print(a + b) \/\/ = 37.1041","print(a - b) \/\/ = 13.0959","print(a * b) \/\/ = 301.30291","print(a \/ b) \/\/ = 2"]},{"type":"paragraph","inlineContent":[{"type":"text","text":"The "},{"inlineContent":[{"text":"quotientAndRemainder","type":"text"}],"type":"emphasis"},{"type":"text","text":" function produces an integer quotient and exact remainder"}]},{"syntax":"swift","code":["print(a.quotientAndRemainder(b)) \/\/ = (quotient: 2, remainder: 1.0918)"],"type":"codeListing"},{"level":3,"text":"Rounded Arithmetic","anchor":"Rounded-Arithmetic","type":"heading"},{"type":"paragraph","inlineContent":[{"text":"Rounding is controlled by Rounding objects that contain a rounding mode and a","type":"text"},{"type":"text","text":" "},{"type":"text","text":"precision, which is the number of digits in the rounded result."}]},{"inlineContent":[{"text":"The rounding modes are:","type":"text"}],"type":"paragraph"},{"type":"unorderedList","items":[{"content":[{"type":"paragraph","inlineContent":[{"text":"awayFromZero - round away from 0","type":"text"}]}]},{"content":[{"inlineContent":[{"type":"text","text":"down - round towards -infinity"}],"type":"paragraph"}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"up - round towards +infinity"}]}]},{"content":[{"inlineContent":[{"type":"text","text":"towardZero - round towards 0"}],"type":"paragraph"}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"toNearestOrEven - round to nearest, ties to even"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"text":"toNearestOrAwayFromZero - round to nearest, ties away from 0","type":"text"}]}]}]},{"type":"paragraph","inlineContent":[{"type":"text","text":"The "},{"type":"emphasis","inlineContent":[{"text":"add","type":"text"}]},{"type":"text","text":", "},{"type":"emphasis","inlineContent":[{"type":"text","text":"subtract"}]},{"type":"text","text":" and "},{"inlineContent":[{"type":"text","text":"multiply"}],"type":"emphasis"},{"text":" methods have a Rounding parameter that","type":"text"},{"text":" ","type":"text"},{"text":"controls how the result is rounded.","type":"text"}]},{"text":"Examples","level":4,"anchor":"Examples","type":"heading"},{"syntax":"swift","code":["let a = BigDecimal(\"25.1E-2\")","let b = BigDecimal(\"12.0041E-3\")","let rnd = Rounding(.ceiling, 3)","\t","print(a + b) \/\/ = 0.2630041","print(a.add(b, rnd)) \/\/ = 0.264","print(a - b) \/\/ = 0.2389959","print(a.subtract(b, rnd)) \/\/ = 0.239","print(a * b) \/\/ = 0.0030130291","print(a.multiply(b, rnd)) \/\/ = 0.00302"],"type":"codeListing"},{"anchor":"Precise-division","level":3,"text":"Precise division","type":"heading"},{"type":"paragraph","inlineContent":[{"text":"The ","type":"text"},{"type":"emphasis","inlineContent":[{"text":"divide","type":"text"}]},{"text":" method, that has an optional rounding parameter, performs division.","type":"text"},{"type":"text","text":" "},{"type":"text","text":"If the quotient has finite decimal expansion, the rounding parameter may or may not be present, it is used if it is there."},{"type":"text","text":" "},{"text":"If the quotient has infinite decimal expansion, the rounding parameter must be present and is used to round the result.","type":"text"}]},{"level":4,"text":"Examples","type":"heading","anchor":"Examples"},{"type":"codeListing","code":["let x1 = BigDecimal(3)","let x2 = BigDecimal(48)","print(x1.divide(x2)) \/\/ = 0.0625","let rnd = Rounding(.ceiling, 2)","print(x1.divide(x2, rnd)) \/\/ = 0.063","\t","let x3 = BigDecimal(3)","let x4 = BigDecimal(49)","print(x3.divide(x4)) \/\/ = NaN because the quotient has infinite decimal expansion 0.06122448...","print(x3.divide(x4, rnd)) \/\/ = 0.062"],"syntax":"swift"},{"type":"heading","text":"Data Encoding","level":2,"anchor":"Data-Encoding"},{"inlineContent":[{"type":"text","text":"BigDecimal’s can be encoded as Data objects (perhaps for long term storage) using the "},{"type":"emphasis","inlineContent":[{"type":"text","text":"asData"}]},{"text":" method,","type":"text"},{"text":" ","type":"text"},{"type":"text","text":"and they can be regenerated from their Data encoding using the appropriate initializer."},{"text":" ","type":"text"},{"type":"text","text":"The encoding rules are:"}],"type":"paragraph"},{"type":"unorderedList","items":[{"content":[{"type":"paragraph","inlineContent":[{"text":"The encoding contains nine or more bytes. The first eight bytes is a","type":"text"},{"text":" ","type":"text"},{"type":"text","text":"Big Endian encoding of the signed exponent."},{"type":"text","text":" "},{"type":"text","text":"The remaining bytes is a Big Endian encoding of the signed significand."}]}]},{"content":[{"inlineContent":[{"type":"text","text":"NaN’s (and signaling NaNs) are encoded as a single byte = 0"}],"type":"paragraph"}]},{"content":[{"type":"paragraph","inlineContent":[{"text":"positive infinity is encoded as a single byte = 1","type":"text"}]}]},{"content":[{"inlineContent":[{"type":"text","text":"negative infinity is encoded as a single byte = 2"}],"type":"paragraph"}]},{"content":[{"inlineContent":[{"text":"negative zero is encoded as a single byte = 3","type":"text"}],"type":"paragraph"}]}]},{"type":"paragraph","inlineContent":[{"text":"It is also possible to encode BigDecimal’s using the ","type":"text"},{"code":"JSONEncoder","type":"codeVoice"},{"type":"text","text":" or as a"},{"text":" ","type":"text"},{"type":"text","text":"property list using the "},{"code":"PropertyListEncoder","type":"codeVoice"},{"type":"text","text":" as in the second example."}]},{"level":3,"anchor":"Examples","text":"Examples","type":"heading"},{"code":["let x1 = BigDecimal(1000, 3) \/\/ = 1000000","print(Bytes(x1.asData())) \/\/ = [0, 0, 0, 0, 0, 0, 0, 3, 3, 232]","","let x2 = BigDecimal(1000, -3) \/\/ = 1.000","print(Bytes(x2.asData())) \/\/ = [255, 255, 255, 255, 255, 255, 255, 253, 3, 232]","","let x3 = BigDecimal(-1000, 3) \/\/ = -1000000","print(Bytes(x3.asData())) \/\/ = [0, 0, 0, 0, 0, 0, 0, 3, 252, 24]","","let x4 = BigDecimal(-1000, -3) \/\/ = -1.000","print(Bytes(x4.asData())) \/\/ = [255, 255, 255, 255, 255, 255, 255, 253, 252, 24]"],"type":"codeListing","syntax":"swift"},{"type":"codeListing","syntax":"swift","code":["let encoder = JSONEncoder()","let x1 = BigDecimal(1000, 3) \/\/ = 1000000","if let encoded = try? encoder.encode(x1) {"," \/\/ save `encoded` data somewhere or",""," \/\/ extract the JSON string from the data"," if let json = String(data: encoded, encoding: .utf8) {"," print(json)"," }","}"]},{"level":2,"text":"Decimal Formats","anchor":"Decimal-Formats","type":"heading"},{"type":"paragraph","inlineContent":[{"text":"Decimal values can be represented not only as BigDecimal’s but also as Double values,","type":"text"},{"type":"text","text":" "},{"type":"text","text":"Decimal (the Swift Foundation type) values, and Decimal32 \/ 64 \/ 128 values."},{"type":"text","text":" "},{"type":"text","text":"The strategy for working with other than BigDecimal values can be summarized as follows:"}]},{"type":"unorderedList","items":[{"content":[{"inlineContent":[{"type":"text","text":"convert the input values to BigDecimal’s using the appropriate initializer"}],"type":"paragraph"}]},{"content":[{"type":"paragraph","inlineContent":[{"text":"compute the results","type":"text"}]}]},{"content":[{"inlineContent":[{"text":"convert the results back to the desired output format using the appropriate conversion function","type":"text"}],"type":"paragraph"}]}]},{"inlineContent":[{"text":"As an example, suppose you must compute the average value of three values a, b and c which are encoded as Decimal32 values using Densely Packed Decimal (DPD) encoding.","type":"text"},{"type":"text","text":" "},{"text":"The result x must likewise be a Decimal32 value encoded using DPD.","type":"text"}],"type":"paragraph"},{"type":"codeListing","syntax":"swift","code":["\/\/ Input values","let a = UInt32(0x223e1117) \/\/ = 7042.17 DPD encoded","let b = UInt32(0x22300901) \/\/ = 22.01 DPD encoded","let c = UInt32(0xa230cc00) \/\/ = -330.00 DPD encoded","\t","\/\/ Convert to BigDecimal's","let A = BigDecimal(a, .dpd)","let B = BigDecimal(b, .dpd)","let C = BigDecimal(c, .dpd)","\t","\/\/ Compute result","let X = (A + B + C).divide(3, Rounding.decimal32)","print(X) \/\/ = 2244.727","\t","\/\/ Convert result back to Decimal32","let x = X.asDecimal32(.dpd)","print(String(x, radix: 16)) \/\/ = 2a2513a7 (= 2244.727 DPD encoded)"]},{"anchor":"About-Infinities","type":"heading","level":2,"text":"About Infinities"},{"inlineContent":[{"type":"text","text":"The constants "},{"code":"BigDecimal.infinity","type":"codeVoice"},{"text":" and ","type":"text"},{"code":"-BigDecimal.infinity","type":"codeVoice"},{"type":"text","text":" represent"},{"type":"text","text":" "},{"type":"text","text":"+Infinity and -Infinity respectively."},{"type":"text","text":" "},{"code":"-infinity","type":"codeVoice"},{"type":"text","text":" compares less than every finite number,"},{"type":"text","text":" "},{"text":"and every finite number compares less than ","type":"text"},{"type":"codeVoice","code":"infinity"},{"type":"text","text":". Arithmetic operations"},{"text":" ","type":"text"},{"type":"text","text":"involving infinite values is illustrated by the examples below:"}],"type":"paragraph"},{"syntax":"swift","type":"codeListing","code":["let InfP = BigDecimal.infinity \/\/ Just to save some writing","let InfN = -BigDecimal.infinity","","print(InfP + 3) \/\/ +Infinity","print(InfN + 3) \/\/ -Infinity","print(InfP + InfP) \/\/ +Infinity","print(InfP - InfP) \/\/ NaN","print(InfP * 3) \/\/ +Infinity","print(InfP * InfP) \/\/ +Infinity","print(InfP * InfN) \/\/ -Infinity","print(InfP * 0) \/\/ NaN","print(InfP \/ 3) \/\/ +Infinity","print(InfP \/ 0) \/\/ +Infinity","print(1 \/ InfP) \/\/ 0","print(1 \/ InfN) \/\/ 0","print(InfP \/ InfP) \/\/ NaN","print(InfP < InfP) \/\/ false","print(InfP == InfP) \/\/ true","print(InfP != InfP) \/\/ false","print(InfP > InfP) \/\/ false","print(Rounding.decimal32.round(InfP)) \/\/ +Infinity","print(InfP.scale(4)) \/\/ +Infinity","print(InfP.scale(-4)) \/\/ +Infinity","print(InfP.withExponent(10, .up)) \/\/ NaN"]},{"type":"heading","level":2,"anchor":"About-NaNs","text":"About NaN’s"},{"inlineContent":[{"text":"The IEEE 754 standard specifies two NaN’s, a quiet NaN (qNaN) and a signaling NaN (sNaN).","type":"text"},{"text":" ","type":"text"},{"text":"The constant ","type":"text"},{"type":"emphasis","inlineContent":[{"type":"text","text":"BigDecimal.NaN"}]},{"text":" corresponds to the quiet NaN and","type":"text"},{"type":"text","text":" "},{"type":"codeVoice","code":"BigDecimal.signalingNan"},{"type":"text","text":" to the signaling NaN."}],"type":"paragraph"},{"type":"paragraph","inlineContent":[{"type":"text","text":"Arithmetic operations where one or more input is NaN, return NaN as result."},{"text":" ","type":"text"},{"text":"Comparing NaN values is illustrated by the example below:","type":"text"}]},{"code":["let NaN = BigDecimal.NaN \/\/ Just to save some writing","\t","print(3 < NaN) \/\/ false","print(NaN < 3) \/\/ false","print(NaN < NaN) \/\/ false","print(3 <= NaN) \/\/ false","print(NaN <= 3) \/\/ false","print(NaN <= NaN) \/\/ false","print(3 > NaN) \/\/ false","print(NaN > 3) \/\/ false","print(NaN > NaN) \/\/ false","print(3 >= NaN) \/\/ false","print(NaN >= 3) \/\/ false","print(NaN >= NaN) \/\/ false","print(3 == NaN) \/\/ false","print(NaN == 3) \/\/ false","print(NaN == NaN) \/\/ false","print(3 != NaN) \/\/ true","print(NaN != 3) \/\/ true","print(NaN != NaN) \/\/ true !!!"],"type":"codeListing","syntax":"swift"},{"inlineContent":[{"type":"text","text":"Because NaN != NaN is true, sorting a collection of BigDecimal’s doesn’t"},{"type":"text","text":" "},{"type":"text","text":"work if the collection contains one or more NaN’s. This is so, even if"},{"type":"text","text":" "},{"type":"text","text":"BigDecimal conforms to the Comparable protocol. Note: It is possible to"},{"type":"text","text":" "},{"text":"sort values including NaNs using the ","type":"text"},{"type":"codeVoice","code":"isTotallyOrdered(belowOrEqualTo:)"},{"type":"text","text":" "},{"type":"text","text":"method."}],"type":"paragraph"},{"type":"paragraph","inlineContent":[{"type":"text","text":"The following example uses "},{"type":"codeVoice","code":"isTotallyOrdered(belowOrEqualTo:)"},{"text":" to sort an","type":"text"},{"type":"text","text":" "},{"type":"text","text":"array of floating-point values, including some that are NaN:"}]},{"syntax":"swift","type":"codeListing","code":["var numbers = [2.5, 21.25, 3.0, .nan, -9.5]","numbers.sort { !$1.isTotallyOrdered(belowOrEqualTo: $0) }","print(numbers)","\/\/ Prints \"[-9.5, 2.5, 3.0, 21.25, nan]\""]},{"type":"paragraph","inlineContent":[{"type":"text","text":"There is a static boolean variable "},{"inlineContent":[{"type":"text","text":"BigDecimal.NaNFlag"}],"type":"emphasis"},{"text":" which is set to","type":"text"},{"text":" ","type":"text"},{"inlineContent":[{"text":"true","type":"text"}],"type":"emphasis"},{"text":" whenever a NaN value is generated. It can be set to ","type":"text"},{"type":"emphasis","inlineContent":[{"text":"false","type":"text"}]},{"text":" by","type":"text"},{"text":" ","type":"text"},{"text":"application code. Therefore, to check if a sequence of code generates NaN,","type":"text"},{"text":" ","type":"text"},{"type":"text","text":"set NaNFlag to "},{"type":"emphasis","inlineContent":[{"type":"text","text":"false"}]},{"text":" before the code and check it after the code. Since","type":"text"},{"text":" ","type":"text"},{"text":"a BigDecimal has a stored property ","type":"text"},{"inlineContent":[{"type":"text","text":"isNaN"}],"type":"emphasis"},{"type":"text","text":", it is of course also possible to"},{"text":" ","type":"text"},{"type":"text","text":"check for a NaN value at any time."}]},{"type":"heading","level":2,"text":"References","anchor":"References"},{"type":"paragraph","inlineContent":[{"text":"Algorithms from the following books and papers have been used in the implementation.","type":"text"},{"text":" ","type":"text"},{"type":"text","text":"There are references in the source code where appropriate."}]},{"type":"unorderedList","items":[{"content":[{"inlineContent":[{"type":"text","text":"[GRANLUND] - Moller and Granlund: Improved Division by Invariant Integers, 2011"}],"type":"paragraph"}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"[IEEE] - IEEE Standard for Floating-Point Arithmetic, 2019"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"[KNUTH] - Donald E. Knuth: Seminumerical Algorithms, Addison-Wesley 1971"}]}]}]},{"type":"heading","anchor":"Acknowledgement","level":2,"text":"Acknowledgement"},{"type":"orderedList","items":[{"content":[{"inlineContent":[{"text":"Much of the original ","type":"text"},{"identifier":"https:\/\/github.com\/leif-ibsen\/BigDecimal.git","isActive":true,"type":"reference"},{"type":"text","text":" (pre-V2) was created by Leif Ibsen."}],"type":"paragraph"}]},{"content":[{"inlineContent":[{"type":"text","text":"Some unit test cases come from the "},{"type":"reference","identifier":"http:\/\/speleotrove.com\/decimal","isActive":true}],"type":"paragraph"}]},{"content":[{"type":"paragraph","inlineContent":[{"text":"Additional unit test cases and some algorithms are from the","type":"text"},{"type":"text","text":" "},{"identifier":"https:\/\/www.intel.com\/content\/www\/us\/en\/developer\/articles\/tool\/intel-decimal-floating-point-math-library.html","isActive":true,"type":"reference"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"text":"Floating point math functions are translated to Swift from the","type":"text"},{"text":" ","type":"text"},{"type":"reference","identifier":"https:\/\/github.com\/eobermuhlner\/big-math","isActive":true},{"type":"text","text":" implementation by Eric 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r=this._getMessages();Object.keys(r).forEach((function(t){e._checkLocaleMessage(t,e._warnHtmlInMessage,r[t])}))}},Ot.postTranslation.get=function(){return this._postTranslation},Ot.postTranslation.set=function(t){this._postTranslation=t},Ot.sync.get=function(){return this._sync},Ot.sync.set=function(t){this._sync=t},xt.prototype._getMessages=function(){return this._vm.messages},xt.prototype._getDateTimeFormats=function(){return this._vm.dateTimeFormats},xt.prototype._getNumberFormats=function(){return this._vm.numberFormats},xt.prototype._warnDefault=function(t,e,n,r,o,i){if(!h(n))return n;if(this._missing){var a=this._missing.apply(null,[t,e,r,o]);if(u(a))return a}else 0;if(this._formatFallbackMessages){var s=v.apply(void 0,o);return this._render(e,i,s.params,e)}return e},xt.prototype._isFallbackRoot=function(t){return(this._fallbackRootWithEmptyString?!t:h(t))&&!h(this._root)&&this._fallbackRoot},xt.prototype._isSilentFallbackWarn=function(t){return this._silentFallbackWarn 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0:i,s);if(this._isFallbackRoot(m)){if(!this._root)throw Error("unexpected error");var y=this._root.$i18n;m=y._translate(y._getMessages(),y.locale,y.fallbackLocale,v,r,o,i)}m=this._warnDefault(t,v,m,r,a(i)?i:[i],o),this._modifiers.hasOwnProperty(d)?m=this._modifiers[d](m):kt.hasOwnProperty(d)&&(m=kt[d](m)),s.pop(),c=m?c.replace(f,m):c}return c},xt.prototype._createMessageContext=function(t,e,n,r){var o=this,i=a(t)?t:[],c=s(t)?t:{},u=function(t){return i[t]},l=function(t){return c[t]},f=this._getMessages(),p=this.locale;return{list:u,named:l,values:t,formatter:e,path:n,messages:f,locale:p,linked:function(t){return o._interpolate(p,f[p]||{},t,null,r,void 0,[t])}}},xt.prototype._render=function(t,e,n,r){if(d(t))return t(this._createMessageContext(n,this._formatter||$t,r,e));var o=this._formatter.interpolate(t,n,r);return o||(o=$t.interpolate(t,n,r)),"string"!==e||u(o)?o:o.join("")},xt.prototype._appendItemToChain=function(t,e,n){var r=!1;return 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i=this._translate(n,e,this.fallbackLocale,t,r,"raw",o);if(this._isFallbackRoot(i)){if(!this._root)throw Error("unexpected error");return this._root.$i18n.i(t,e,o)}return this._warnDefault(e,t,i,r,[o],"raw")},xt.prototype.i=function(t,e,n){return t?(u(e)||(e=this.locale),this._i(t,e,this._getMessages(),null,n)):""},xt.prototype._tc=function(t,e,n,r,o){var i,a=[],s=arguments.length-5;while(s-- >0)a[s]=arguments[s+5];if(!t)return"";void 0===o&&(o=1);var c={count:o,n:o},u=v.apply(void 0,a);return u.params=Object.assign(c,u.params),a=null===u.locale?[u.params]:[u.locale,u.params],this.fetchChoice((i=this)._t.apply(i,[t,e,n,r].concat(a)),o)},xt.prototype.fetchChoice=function(t,e){if(!t||!u(t))return null;var n=t.split("|");return e=this.getChoiceIndex(e,n.length),n[e]?n[e].trim():t},xt.prototype.tc=function(t,e){var n,r=[],o=arguments.length-2;while(o-- 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t=[];t=this.activeTags.length>0?this.activeTags:[this.name],e.clipboardData.setData("text/html",yo({tags:t})),e.clipboardData.setData("text/plain",t.join(" 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jo=5,Fo="filter-input",Ho="selected-tags",Vo="suggested-tags",Wo={autocorrect:"off",autocapitalize:"off",spellcheck:"false",role:"combobox","aria-haspopup":"true","aria-autocomplete":"none","aria-owns":"suggestedTags","aria-controls":"suggestedTags"};var Uo,Qo,Go={name:"FilterInput",mixins:[ko,_o],constants:{FilterInputId:Fo,SelectedTagsId:Ho,SuggestedTagsId:Vo,AXinputProperties:Wo,TagLimit:jo},components:{TagList:qo,ClearRoundedIcon:uo,FilterIcon:Do},props:{positionReversed:{type:Boolean,default:()=>!1},tags:{type:Array,default:()=>[]},selectedTags:{type:Array,default:()=>[]},preventedBlur:{type:Boolean,default:()=>!1},placeholder:{type:String,default:()=>""},disabled:{type:Boolean,default:()=>!1},value:{type:String,default:()=>""},shouldTruncateTags:{type:Boolean,default:!1},focusInputWhenCreated:{type:Boolean,default:!1},focusInputWhenEmpty:{type:Boolean,default:!1},selectInputOnFocus:{type:Boolean,default:!1},preventBorderStyle:{type:Boolean,default:!1},translatableTags:{type:Array,default:()=>[]}},data(){return{resetedTagsViaDeleteButton:!1,FilterInputId:Fo,SelectedTagsId:Ho,SuggestedTagsId:Vo,AXinputProperties:Wo,showSuggestedTags:!1}},computed:{hasSuggestedTags:({suggestedTags:e})=>e.length,hasSelectedTags:({selectedTags:e})=>e.length,inputIsNotEmpty:({input:e,hasSelectedTags:t})=>e.length||t,searchAriaLabelledBy:({hasSelectedTags:e})=>e?Fo.concat(" 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t=await(0,x.k_)(e.path,{signal:this.abortController.signal});this.$cachedSymbolResults.set(e.uid,{success:!0,json:t})}catch(t){t.name!==Rl&&this.$cachedSymbolResults.set(e.uid,{success:!1})}finally{this.cachedSymbolResults=Object.freeze(Object.fromEntries(this.$cachedSymbolResults))}};this.abortController&&this.abortController.abort(),this.abortController=new AbortController,await Promise.all([e(this.selectedSymbol).finally((()=>{clearTimeout(this.loadingTimeout),this.previewIsLoadingSlowly=!1})),e(this.nextSymbol)])}}},zl=Ml,Kl=(0,j.Z)(zl,to,no,!1,null,"2f89fac2",null),Zl=Kl.exports,ql=function(){var e=this,t=e._self._c;return t("div",{staticClass:"adjustable-sidebar-width",class:{dragging:e.isDragging,"sidebar-hidden":!e.enableNavigator||e.hiddenOnLarge}},[e.enableNavigator?t("div",{ref:"sidebar",staticClass:"sidebar"},[t("div",{ref:"aside",staticClass:"aside",class:e.asideClasses,style:e.asideStyles,attrs:{"aria-hidden":e.hiddenOnLarge?"true":null},on:{transitionstart:function(t){return t.target!==t.currentTarget?null:e.trackTransitionStart.apply(null,arguments)},transitionend:function(t){return t.target!==t.currentTarget?null:e.trackTransitionEnd.apply(null,arguments)}}},[e._t("aside",null,{animationClass:"aside-animated-child",scrollLockID:e.scrollLockID,breakpoint:e.breakpoint})],2),e.fixedWidth?e._e():t("div",{staticClass:"resize-handle",on:{mousedown:function(t){return t.preventDefault(),e.startDrag.apply(null,arguments)},touchstart:function(t){return t.preventDefault(),e.startDrag.apply(null,arguments)}}})]):e._e(),t("div",{ref:"content",staticClass:"content"},[e._t("default")],2),e.enableNavigator?t("BreakpointEmitter",{attrs:{scope:e.BreakpointScopes.nav},on:{change:function(t){e.breakpoint=t}}}):e._e()],1)},jl=[],Fl=n(7247),Hl=n(7188),Vl=n(114),Wl=n(1147),Ul=n(1716);const Ql="sidebar",Gl=1521,Xl=543,Yl=400,Jl={touch:{move:"touchmove",end:"touchend"},mouse:{move:"mousemove",end:"mouseup"}},ec=(e,t=window.innerWidth)=>{const n=Math.min(t,Gl);return Math.floor(Math.min(n*(e/100),n))},tc={medium:30,large:30},nc={medium:50,large:40},ic="sidebar-scroll-lock";var ac={name:"AdjustableSidebarWidth",constants:{SCROLL_LOCK_ID:ic},components:{BreakpointEmitter:Hl["default"]},inject:["store"],props:{shownOnMobile:{type:Boolean,default:!1},enableNavigator:{type:Boolean,default:!0},hiddenOnLarge:{type:Boolean,default:!1},fixedWidth:{type:Number,default:null}},data(){const 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e=[],{items:t,keyField:n,simpleArray:i}=this,a=this.vscrollData.sizes,s=t.length;for(let r=0;r=n)break;i+=t[o].size||this.minItemSize,a+=e[o].size||this.minItemSize}const r=a-i;0!==r&&(this.$el.scrollTop+=r)}},beforeCreate(){this.$_updates=[],this.$_undefinedSizes=0,this.$_undefinedMap={}},activated(){this.vscrollData.active=!0},deactivated(){this.vscrollData.active=!1},methods:{onScrollerResize(){const e=this.$refs.scroller;e&&this.forceUpdate(),this.$emit("resize")},onScrollerVisible(){this.$emit("vscroll:update",{force:!1}),this.$emit("visible")},forceUpdate(e=!0){(e||this.simpleArray)&&(this.vscrollData.validSizes={}),this.$emit("vscroll:update",{force:!0})},scrollToItem(e){const t=this.$refs.scroller;t&&t.scrollToItem(e)},getItemSize(e,t=undefined){const n=this.simpleArray?null!=t?t:this.items.indexOf(e):e[this.keyField];return this.vscrollData.sizes[n]||0},scrollToBottom(){if(this.$_scrollingToBottom)return;this.$_scrollingToBottom=!0;const e=this.$el;this.$nextTick((()=>{e.scrollTop=e.scrollHeight+5e3;const t=()=>{e.scrollTop=e.scrollHeight+5e3,requestAnimationFrame((()=>{e.scrollTop=e.scrollHeight+5e3,0===this.$_undefinedSizes?this.$_scrollingToBottom=!1:requestAnimationFrame(t)}))};requestAnimationFrame(t)}))}}};const ad=id;var sd=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("RecycleScroller",e._g(e._b({ref:"scroller",attrs:{items:e.itemsWithSize,"min-item-size":e.minItemSize,direction:e.direction,"key-field":"id","list-tag":e.listTag,"item-tag":e.itemTag},on:{resize:e.onScrollerResize,visible:e.onScrollerVisible},scopedSlots:e._u([{key:"default",fn:function(t){var n=t.item,i=t.index,a=t.active;return[e._t("default",null,null,{item:n.item,index:i,active:a,itemWithSize:n})]}}],null,!0)},"RecycleScroller",e.$attrs,!1),e.listeners),[e._v(" "),n("template",{slot:"before"},[e._t("before")],2),e._v(" "),n("template",{slot:"after"},[e._t("after")],2),e._v(" "),n("template",{slot:"empty"},[e._t("empty")],2)],2)},rd=[];sd._withStripped=!0;const od=void 0,ld=void 0,cd=void 0,dd=!1,ud=Uc({render:sd,staticRenderFns:rd},od,ad,ld,dd,cd,!1,void 0,void 0,void 0);var hd={name:"DynamicScrollerItem",inject:["vscrollData","vscrollParent","vscrollResizeObserver"],props:{item:{required:!0},watchData:{type:Boolean,default:!1},active:{type:Boolean,required:!0},index:{type:Number,default:void 0},sizeDependencies:{type:[Array,Object],default:null},emitResize:{type:Boolean,default:!1},tag:{type:String,default:"div"}},computed:{id(){if(this.vscrollData.simpleArray)return this.index;if(this.item.hasOwnProperty(this.vscrollData.keyField))return this.item[this.vscrollData.keyField];throw new Error(`keyField '${this.vscrollData.keyField}' not found in your item. You should set a valid keyField prop on your Scroller`)},size(){return this.vscrollData.validSizes[this.id]&&this.vscrollData.sizes[this.id]||0},finalActive(){return this.active&&this.vscrollData.active}},watch:{watchData:"updateWatchData",id(){this.size||this.onDataUpdate()},finalActive(e){this.size||(e?this.vscrollParent.$_undefinedMap[this.id]||(this.vscrollParent.$_undefinedSizes++,this.vscrollParent.$_undefinedMap[this.id]=!0):this.vscrollParent.$_undefinedMap[this.id]&&(this.vscrollParent.$_undefinedSizes--,this.vscrollParent.$_undefinedMap[this.id]=!1)),this.vscrollResizeObserver?e?this.observeSize():this.unobserveSize():e&&this.$_pendingVScrollUpdate===this.id&&this.updateSize()}},created(){if(!this.$isServer&&(this.$_forceNextVScrollUpdate=null,this.updateWatchData(),!this.vscrollResizeObserver)){for(const e in this.sizeDependencies)this.$watch((()=>this.sizeDependencies[e]),this.onDataUpdate);this.vscrollParent.$on("vscroll:update",this.onVscrollUpdate),this.vscrollParent.$on("vscroll:update-size",this.onVscrollUpdateSize)}},mounted(){this.vscrollData.active&&(this.updateSize(),this.observeSize())},beforeDestroy(){this.vscrollParent.$off("vscroll:update",this.onVscrollUpdate),this.vscrollParent.$off("vscroll:update-size",this.onVscrollUpdateSize),this.unobserveSize()},methods:{updateSize(){this.finalActive?this.$_pendingSizeUpdate!==this.id&&(this.$_pendingSizeUpdate=this.id,this.$_forceNextVScrollUpdate=null,this.$_pendingVScrollUpdate=null,this.computeSize(this.id)):this.$_forceNextVScrollUpdate=this.id},updateWatchData(){this.watchData&&!this.vscrollResizeObserver?this.$_watchData=this.$watch("item",(()=>{this.onDataUpdate()}),{deep:!0}):this.$_watchData&&(this.$_watchData(),this.$_watchData=null)},onVscrollUpdate({force:e}){!this.finalActive&&e&&(this.$_pendingVScrollUpdate=this.id),this.$_forceNextVScrollUpdate!==this.id&&!e&&this.size||this.updateSize()},onDataUpdate(){this.updateSize()},computeSize(e){this.$nextTick((()=>{if(this.id===e){const e=this.$el.offsetWidth,t=this.$el.offsetHeight;this.applySize(e,t)}this.$_pendingSizeUpdate=null}))},applySize(e,t){const n=~~("vertical"===this.vscrollParent.direction?t:e);n&&this.size!==n&&(this.vscrollParent.$_undefinedMap[this.id]&&(this.vscrollParent.$_undefinedSizes--,this.vscrollParent.$_undefinedMap[this.id]=void 0),this.$set(this.vscrollData.sizes,this.id,n),this.$set(this.vscrollData.validSizes,this.id,!0),this.emitResize&&this.$emit("resize",this.id))},observeSize(){this.vscrollResizeObserver&&this.$el.parentNode&&(this.vscrollResizeObserver.observe(this.$el.parentNode),this.$el.parentNode.addEventListener("resize",this.onResize))},unobserveSize(){this.vscrollResizeObserver&&(this.vscrollResizeObserver.unobserve(this.$el.parentNode),this.$el.parentNode.removeEventListener("resize",this.onResize))},onResize(e){const{width:t,height:n}=e.detail.contentRect;this.applySize(t,n)}},render(e){return e(this.tag,this.$slots.default)}};const pd=hd,gd=void 0,fd=void 0,md=void 0,yd=void 0,vd=Uc({},gd,pd,fd,yd,md,!1,void 0,void 0,void 0);function bd({idProp:e=(e=>e.item.id)}={}){const t={},n=new Kc["default"]({data(){return{store:t}}});return{data(){return{idState:null}},created(){this.$_id=null,this.$_getId="function"===typeof e?()=>e.call(this,this):()=>this[e],this.$watch(this.$_getId,{handler(e){this.$nextTick((()=>{this.$_id=e}))},immediate:!0}),this.$_updateIdState()},beforeUpdate(){this.$_updateIdState()},methods:{$_idStateInit(e){const i=this.$options.idState;if("function"===typeof i){const a=i.call(this,this);return n.$set(t,e,a),this.$_id=e,a}throw new Error("[mixin IdState] Missing `idState` function on component definition.")},$_updateIdState(){const n=this.$_getId();null==n&&console.warn(`No id found for IdState with idProp: '${e}'.`),n!==this.$_id&&(t[n]||this.$_idStateInit(n),this.idState=t[n])}}}}function Td(e,t){e.component(`${t}recycle-scroller`,nd),e.component(`${t}RecycleScroller`,nd),e.component(`${t}dynamic-scroller`,ud),e.component(`${t}DynamicScroller`,ud),e.component(`${t}dynamic-scroller-item`,vd),e.component(`${t}DynamicScrollerItem`,vd)}const _d={version:"1.1.2",install(e,t){const n=Object.assign({},{installComponents:!0,componentsPrefix:""},t);for(const i in n)"undefined"!==typeof n[i]&&(Zc[i]=n[i]);n.installComponents&&Td(e,n.componentsPrefix)}};let Sd=null;function kd(e){const t=(0,bn.RL)((0,bn.hr)(e));return new RegExp(t,"ig")}"undefined"!==typeof window?Sd=window.Vue:"undefined"!==typeof n.g&&(Sd=n.g.Vue),Sd&&Sd.use(_d);var Cd,wd,xd=function(){var e=this,t=e._self._c;return t("BaseNavigatorCardItem",{class:{expanded:e.expanded,active:e.isActive,"is-group":e.isGroupMarker},style:{"--nesting-index":e.item.depth},attrs:{"data-nesting-index":e.item.depth,id:`container-${e.item.uid}`,"aria-hidden":e.isRendered?null:"true",hideNavigatorIcon:e.isGroupMarker},nativeOn:{keydown:[function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"left",37,t.key,["Left","ArrowLeft"])||"button"in t&&0!==t.button?null:(t.preventDefault(),e.handleLeftKeydown.apply(null,arguments))},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"right",39,t.key,["Right","ArrowRight"])||"button"in t&&2!==t.button||t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:(t.preventDefault(),e.handleRightKeydown.apply(null,arguments))},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"enter",13,t.key,"Enter")?null:(t.preventDefault(),e.clickReference.apply(null,arguments))},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"right",39,t.key,["Right","ArrowRight"])?null:t.altKey?"button"in t&&2!==t.button?null:(t.preventDefault(),e.toggleEntireTree.apply(null,arguments)):null}]},scopedSlots:e._u([{key:"depth-spacer",fn:function(){return[t("span",{attrs:{hidden:"",id:e.usageLabel}},[e._v(" "+e._s(e.$t("filter.navigate"))+" ")]),e.isParent?t("button",{staticClass:"tree-toggle",attrs:{tabindex:"-1","aria-labelledby":e.item.uid,"aria-expanded":e.expanded?"true":"false","aria-describedby":e.ariaDescribedBy},on:{click:[function(t){return t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:(t.preventDefault(),e.toggleTree.apply(null,arguments))},function(t){return t.altKey?(t.preventDefault(),e.toggleEntireTree.apply(null,arguments)):null},function(t){return t.metaKey?(t.preventDefault(),e.toggleSiblings.apply(null,arguments)):null}]}},[t("InlineChevronRightIcon",{staticClass:"icon-inline chevron",class:{rotate:e.expanded,animating:e.idState.isOpening}})],1):e._e()]},proxy:!0},{key:"navigator-icon",fn:function({className:n}){return[e.apiChange?t("span",{class:[{[`changed changed-${e.apiChange}`]:e.apiChange},n]}):t("TopicTypeIcon",{key:e.item.uid,class:n,attrs:{type:e.item.type,"image-override":e.item.icon?e.navigatorReferences[e.item.icon]:null,shouldCalculateOptimalWidth:!1}})]}},{key:"title-container",fn:function(){return[e.isParent?t("span",{attrs:{hidden:"",id:e.parentLabel}},[e._v(e._s(e.$tc("filter.parent-label",e.item.childUIDs.length,{"number-siblings":e.item.index+1,"total-siblings":e.item.siblingsCount,"parent-siblings":e.item.parent,"number-parent":e.item.childUIDs.length})))]):e._e(),e.isParent?e._e():t("span",{attrs:{id:e.siblingsLabel,hidden:""}},[e._v(" "+e._s(e.$t("filter.siblings-label",{"number-siblings":e.item.index+1,"total-siblings":e.item.siblingsCount,"parent-siblings":e.item.parent}))+" ")]),t(e.refComponent,{ref:"reference",tag:"component",staticClass:"leaf-link",class:{bolded:e.isBold},attrs:{id:e.item.uid,url:e.isGroupMarker?null:e.item.path||"",tabindex:e.isFocused?"0":"-1","aria-describedby":`${e.ariaDescribedBy} ${e.usageLabel}`},nativeOn:{click:[function(t){return t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:e.handleClick.apply(null,arguments)},function(t){return t.altKey?(t.preventDefault(),e.toggleEntireTree.apply(null,arguments)):null}]}},[t("HighlightMatches",{attrs:{text:e.item.title,matcher:e.filterPattern}})],1),e.isDeprecated?t("Badge",{attrs:{variant:"deprecated"}}):e.isBeta?t("Badge",{attrs:{variant:"beta"}}):e._e()]},proxy:!0},{key:"content-container",fn:function(){return[e._t("card-item-content")]},proxy:!0}],null,!0)})},Id=[],$d=function(){var e=this,t=e._self._c;return t("div",{staticClass:"navigator-card-item"},[t("div",{staticClass:"head-wrapper"},[t("div",{staticClass:"depth-spacer"},[e._t("depth-spacer")],2),e.hideNavigatorIcon?e._e():t("div",{staticClass:"navigator-icon-wrapper"},[e._t("navigator-icon",null,{className:"navigator-icon"})],2),t("div",{staticClass:"title-container"},[e._t("title-container")],2),t("div",{staticClass:"content-container"},[e._t("content-container")],2)])])},Dd=[],Pd={name:"BaseNavigatorCardItem",props:{hideNavigatorIcon:{type:Boolean,default:()=>!1}}},Ld=Pd,Od=(0,j.Z)(Ld,$d,Dd,!1,null,"5e71f320",null),Ad=Od.exports,Nd={name:"HighlightMatch",props:{text:{type:String,required:!0},matcher:{type:RegExp,default:void 0}},render(e){const{matcher:t,text:n}=this;if(!t)return e("p",{class:"highlight"},n);const i=[];let a=0,s=null;const r=new RegExp(t,"gi");while(null!==(s=r.exec(n))){const t=s[0].length,r=s.index+t,o=n.slice(a,s.index);o&&i.push(e("span",o));const l=n.slice(s.index,r);l&&i.push(e("span",{class:"match"},l)),a=r}const o=n.slice(a,n.length);return o&&i.push(e("span",o)),e("p",{class:"highlight"},i)}},Rd=Nd,Bd=(0,j.Z)(Rd,Cd,wd,!1,null,"7b81ca08",null),Ed=Bd.exports,Md={name:"NavigatorCardItem",mixins:[bd({idProp:e=>e.item.uid})],components:{BaseNavigatorCardItem:Ad,HighlightMatches:Ed,TopicTypeIcon:Ce.Z,InlineChevronRightIcon:Pr.Z,Reference:Va.Z,Badge:qi.Z},props:{isRendered:{type:Boolean,default:!1},item:{type:Object,required:!0},expanded:{type:Boolean,default:!1},filterPattern:{type:RegExp,default:void 0},filterText:{type:String,default:null},isActive:{type:Boolean,default:!1},isBold:{type:Boolean,default:!1},apiChange:{type:String,default:null,validator:e=>qt.UG.includes(e)},isFocused:{type:Boolean,default:()=>!1},enableFocus:{type:Boolean,default:!0},navigatorReferences:{type:Object,default:()=>({})}},idState(){return{isOpening:!1}},computed:{isGroupMarker:({item:{type:e}})=>e===we.t.groupMarker,isParent:({item:e,isGroupMarker:t})=>!!e.childUIDs.length&&!t,parentLabel:({item:e})=>`label-parent-${e.uid}`,siblingsLabel:({item:e})=>`label-${e.uid}`,usageLabel:({item:e})=>`usage-${e.uid}`,ariaDescribedBy:({isParent:e,parentLabel:t,siblingsLabel:n})=>e?`${t}`:`${n}`,isBeta:({item:{beta:e}})=>!!e,isDeprecated:({item:{deprecated:e}})=>!!e,refComponent:({isGroupMarker:e})=>e?"h3":Va.Z},methods:{toggleTree(){this.idState.isOpening=!0,this.$emit("toggle",this.item)},toggleEntireTree(){this.idState.isOpening=!0,this.$emit("toggle-full",this.item)},toggleSiblings(){this.idState.isOpening=!0,this.$emit("toggle-siblings",this.item)},handleLeftKeydown(){this.expanded?this.toggleTree():this.$emit("focus-parent",this.item)},handleRightKeydown(){!this.expanded&&this.isParent&&this.toggleTree()},clickReference(){(this.$refs.reference.$el||this.$refs.reference).click()},focusReference(){(this.$refs.reference.$el||this.$refs.reference).focus()},handleClick(){this.isGroupMarker||this.$emit("navigate",this.item.uid)}},watch:{async isFocused(e){await(0,Ee.J)(8),e&&this.isRendered&&this.enableFocus&&this.focusReference()},async expanded(){await(0,Ee.J)(9),this.idState.isOpening=!1}}},zd=Md,Kd=(0,j.Z)(zd,xd,Id,!1,null,"5148de22",null),Zd=Kd.exports,qd=function(){var e=this,t=e._self._c;return t("div",{staticClass:"navigator-card"},[t("div",{staticClass:"navigator-card-full-height"},[t("div",{staticClass:"navigator-card-inner"},[t("div",{staticClass:"head-wrapper"},[e._t("above-navigator-head"),t("div",{staticClass:"head-inner"},[e._t("navigator-head"),t("button",{staticClass:"close-card",attrs:{id:e.SIDEBAR_HIDE_BUTTON_ID,"aria-label":e.$t("navigator.close-navigator")},on:{click:e.handleHideClick}},[t("InlineCloseIcon",{staticClass:"icon-inline close-icon"})],1)],2)],2),e._t("body",null,{className:"card-body"})],2)])])},jd=[],Fd=n(7181),Hd={name:"BaseNavigatorCard",components:{InlineCloseIcon:Fd.Z},data(){return{SIDEBAR_HIDE_BUTTON_ID:wl}},methods:{async handleHideClick(){this.$emit("close"),await this.$nextTick();const e=document.getElementById(Ul.Yj);e&&e.focus()}}},Vd=Hd,Wd=(0,j.Z)(Vd,qd,jd,!1,null,"584a744a",null),Ud=Wd.exports;const Qd={sampleCode:"filter.tags.sample-code",tutorials:"filter.tags.tutorials",articles:"filter.tags.articles",webServiceEndpoints:"filter.tags.web-service-endpoints"},Gd=qt.Ag,Xd={...Qd,...Gd,hideDeprecated:"filter.tags.hide-deprecated"},Yd={[we.t.article]:Xd.articles,[we.t.learn]:Xd.tutorials,[we.t.overview]:Xd.tutorials,[we.t.resources]:Xd.tutorials,[we.t.sampleCode]:Xd.sampleCode,[we.t.section]:Xd.tutorials,[we.t.tutorial]:Xd.tutorials,[we.t.project]:Xd.tutorials,[we.t.httpRequest]:Xd.webServiceEndpoints};var Jd={computed:{filteredChildren:({children:e,selectedTags:t,apiChanges:n,filterPattern:i,filterChildren:a})=>a(e,t,n,i),navigatorItems:({nodesToRender:e})=>e},methods:{filterChildren(e,t,n,i){const a=new Set(t);return e.filter((({title:e,path:t,type:s,deprecated:r,deprecatedChildrenCount:o,childUIDs:l})=>{const c=!i||i.test(e),d=r||o===l.length;let u=!0;if(a.size){if(u=a.has(Yd[s]),n&&!u){const e=n[t];u=a.has(Xd[e])}a.has(Xd.hideDeprecated)&&(u=!d)}const h=!n||!!n[t];return c&&u&&h}))}}},eu={name:"TagsDataProvider",constants:{TOPIC_TYPE_TO_TAG:Yd},props:{shouldTruncateTags:{type:Boolean,default:!1}},computed:{availableTags:({renderableChildNodesMap:e,apiChangesObject:t,extractTags:n})=>n(e,t),suggestedTags({availableTags:e,selectedTags:t,hideAvailableTags:n}){return n||t.length?[]:e},translatableTags:({availableTags:e})=>[Xd.hideDeprecated,...e]},methods:{extractTags(e,t){const n=new Set(Object.values(Qd)),i={type:[],changes:[],other:[]},a=new Set(Object.values(t));a.size?a.forEach((e=>{n.add(Xd[e])})):n.add(Xd.hideDeprecated);for(const s in e){if(!Object.hasOwnProperty.call(e,s))continue;if(!n.size)break;const{type:a,path:r,deprecated:o}=e[s],l=Yd[a];l&&n.has(l)&&(i.type.push(l),n.delete(l));const c=t[r];c&&n.has(Xd[c])&&(i.changes.push(Xd[c]),n.delete(Xd[c])),o&&n.has(Xd.hideDeprecated)&&(i.other.push(Xd.hideDeprecated),n.delete(Xd.hideDeprecated))}return Object.values(i).flat()}}};const tu="navigator.state",nu="navigator.no-results",iu="navigator.no-children",au="navigator.error-fetching",su="navigator.items-found";var ru={name:"NavigatorCard",constants:{STORAGE_KEY:tu,ERROR_FETCHING:au,ITEMS_FOUND:su},components:{FilterInput:Jo,NavigatorCardItem:Zd,DynamicScroller:ud,DynamicScrollerItem:vd,BaseNavigatorCard:Ud,Reference:Va.Z,Badge:qi.Z},props:{technologyPath:{type:String,default:""},children:{type:Array,required:!0},technology:{type:String,required:!1},activePath:{type:Array,required:!0},type:{type:String,required:!0},scrollLockID:{type:String,default:""},errorFetching:{type:Boolean,default:!1},apiChanges:{type:Object,default:null},isTechnologyBeta:{type:Boolean,default:!1},navigatorReferences:{type:Object,default:()=>{}},renderFilterOnTop:{type:Boolean,default:!1},hideAvailableTags:{type:Boolean,default:!1}},mixins:[Oo,Jd,eu],data(){return{filter:"",debouncedFilter:"",selectedTags:[],openNodes:Object.freeze({}),nodesToRender:Object.freeze([]),activeUID:null,lastFocusTarget:null,allNodesToggled:!1,INDEX_ROOT_KEY:kl}},computed:{isTechnologyRoute:({technologyPath:e,$route:t})=>e.toLowerCase()===t.path.toLowerCase(),politeAriaLive(){const{hasNodes:e,navigatorItems:t}=this;return e?this.$tc(su,t.length,{number:t.length}):""},assertiveAriaLive:({hasNodes:e,hasFilter:t,errorFetching:n})=>e?"":t?nu:n?au:iu,filterPattern:({debouncedFilter:e})=>e?new RegExp(kd(e),"i"):null,itemSize:()=>Cl,childrenMap({children:e}){return Il(e)},activePathChildren({activeUID:e,childrenMap:t}){return e&&t[e]?Ll(e,t):[]},activePathMap:({activePathChildren:e})=>Object.fromEntries(e.map((({uid:e})=>[e,!0]))),activeIndex:({activeUID:e,navigatorItems:t})=>t.findIndex((t=>t.uid===e)),renderableChildNodesMap({hasFilter:e,childrenMap:t,deprecatedHidden:n,filteredChildren:i,removeDeprecated:a}){if(!e)return t;const s=i.length-1,r=new Set([]);for(let o=s;o>=0;o-=1){const e=i[o],s=t[e.groupMarkerUID];if(s&&r.add(s),r.has(e))continue;if(r.has(t[e.parent])&&e.type!==we.t.groupMarker){r.add(e);continue}let l=[];e.childUIDs.length&&(l=a(Dl(e.uid,t),n)),l.concat(Ll(e.uid,t)).forEach((e=>r.add(e)))}return Il([...r])},nodeChangeDeps:({filteredChildren:e,activePathChildren:t,debouncedFilter:n,selectedTags:i})=>[e,t,n,i],hasFilter({debouncedFilter:e,selectedTags:t,apiChanges:n}){return Boolean(e.length||t.length||n)},deprecatedHidden:({selectedTags:e})=>e[0]===Xd.hideDeprecated,apiChangesObject(){return this.apiChanges||{}},hasNodes:({navigatorItems:e})=>!!e.length,totalItemsToNavigate:({navigatorItems:e})=>e.length,lastActivePathItem:({activePath:e})=>(0,N.Z$)(e)},created(){this.restorePersistedState()},watch:{filter:"debounceInput",nodeChangeDeps:"trackOpenNodes",activePath:"handleActivePathChange",apiChanges(e){e||(this.selectedTags=this.selectedTags.filter((e=>!Object.values(Gd).includes(e))))},async activeUID(e,t){await this.$nextTick();const n=this.$refs[`dynamicScroller_${t}`];n&&n.updateSize&&n.updateSize()}},methods:{setUnlessEqual(e,t){(0,N.Xy)(t,this[e])||(this[e]=Object.freeze(t))},toggleAllNodes(){const e=this.children.filter((e=>e.parent===kl&&e.type!==we.t.groupMarker&&e.childUIDs.length));this.allNodesToggled=!this.allNodesToggled,this.allNodesToggled&&(this.openNodes={},this.generateNodesToRender()),e.forEach((e=>{this.toggleFullTree(e)}))},clearFilters(){this.filter="",this.debouncedFilter="",this.selectedTags=[]},scrollToFocus(){this.$refs.scroller.scrollToItem(this.focusedIndex)},debounceInput:vo((function(e){this.debouncedFilter=e,this.lastFocusTarget=null}),200),trackOpenNodes([e,t,n,i],[,a=[],s="",r=[]]=[]){if(n!==s&&!s&&this.getFromStorage("filter")||!(0,N.Xy)(i,r)&&!r.length&&this.getFromStorage("selectedTags",[]).length)return;const o=!(0,N.Xy)(a,t),{childrenMap:l}=this;let c=t;if(!(this.deprecatedHidden&&!this.debouncedFilter.length||o&&this.hasFilter)&&this.hasFilter){const t=new Set,n=e.length-1;for(let i=n;i>=0;i-=1){const n=e[i];t.has(l[n.parent])||t.has(n)||Ll(n.uid,l).slice(0,-1).forEach((e=>t.add(e)))}c=[...t]}const 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e.$emit("close")}},scopedSlots:e._u([{key:"body",fn:function({className:n}){return[t("transition",{attrs:{name:"delay-visibility"}},[t("div",{staticClass:"loading-navigator",class:n,attrs:{"aria-hidden":"true"}},e._l(e.LOADER_ROWS,(function(e,n){return t("LoadingNavigatorItem",{key:n,attrs:{index:n,width:e.width,hideNavigatorIcon:e.hideNavigatorIcon}})})),1)])]}}])},"BaseNavigatorCard",e.$props,!1))},uu=[],hu=function(){var e=this,t=e._self._c;return t("BaseNavigatorCardItem",{staticClass:"loading-navigator-item",style:`--index: ${e.index};`,attrs:{hideNavigatorIcon:e.hideNavigatorIcon},scopedSlots:e._u([{key:"navigator-icon",fn:function({className:e}){return[t("div",{class:e})]}},{key:"title-container",fn:function(){return[t("div",{staticClass:"loader",style:{width:e.width}})]},proxy:!0}])})},pu=[],gu={name:"LoadingNavigatorItem",components:{BaseNavigatorCardItem:Ad},props:{...Ad.props,index:{type:Number,default:0},width:{type:String,default:"50%"}}},fu=gu,mu=(0,j.Z)(fu,hu,pu,!1,null,"0de29914",null),yu=mu.exports;const vu=[{width:"30%",hideNavigatorIcon:!0},{width:"80%"},{width:"50%"}];var bu,Tu,_u={name:"LoadingNavigatorCard",components:{BaseNavigatorCard:Ud,LoadingNavigatorItem:yu},data(){return{LOADER_ROWS:vu}}},Su=_u,ku=(0,j.Z)(Su,du,uu,!1,null,"3b7cf3a4",null),Cu=ku.exports,wu={name:"Navigator",components:{NavigatorCard:cu,LoadingNavigatorCard:Cu},data(){return{INDEX_ROOT_KEY:kl}},props:{flatChildren:{type:Array,required:!0},parentTopicIdentifiers:{type:Array,required:!0},technology:{type:Object,required:!1},isFetching:{type:Boolean,default:!1},references:{type:Object,default:()=>{}},navigatorReferences:{type:Object,default:()=>{}},scrollLockID:{type:String,default:""},errorFetching:{type:Boolean,default:!1},renderFilterOnTop:{type:Boolean,default:!1},apiChanges:{type:Object,default:null}},computed:{parentTopicReferences({references:e,parentTopicIdentifiers:t}){return t.reduce(((t,n)=>{const i=e[n];return i?t.concat(i):(console.error(`Reference for "${n}" is missing`),t)}),[])},activePath({parentTopicReferences:e,$route:{path:t}}){if(t=t.replace(/\/$/,"").toLowerCase(),!e.length)return[t];let n=1;return"technologies"===e[0].kind&&(n=2),e.slice(n).map((e=>e.url)).concat(t)},type:()=>we.t.module,technologyProps:({technology:e})=>e?{technology:e.title,technologyPath:e.path||e.url,isTechnologyBeta:e.beta}:null}},xu=wu,Iu=(0,j.Z)(xu,lc,cc,!1,null,"7c66a058",null),$u=Iu.exports,Du=n(5184),Pu={name:"NavigatorDataProvider",props:{interfaceLanguage:{type:String,default:D.Z.swift.key.url},technologyUrl:{type:String,default:""},apiChangesVersion:{type:String,default:""}},data(){return{isFetching:!1,errorFetching:!1,isFetchingAPIChanges:!1,navigationIndex:{[D.Z.swift.key.url]:[]},navigationReferences:{},diffs:null}},computed:{flatChildren:({technologyWithChildren:e={}})=>$l(e.children||[],null,0,e.beta),technologyPath:({technologyUrl:e})=>{const t=/(\/documentation\/(?:[^/]+))\/?/.exec(e);return t?t[1]:""},technologyWithChildren({navigationIndex:e,interfaceLanguage:t,technologyPath:n}){let i=e[t]||[];i.length||(i=e[D.Z.swift.key.url]||[]);const a=i.find((e=>n.toLowerCase()===e.path.toLowerCase()));return a??i[0]}},methods:{async fetchIndexData(){try{this.isFetching=!0;const{includedArchiveIdentifiers:e=[],interfaceLanguages:t,references:n}=await(0,x.LR)({slug:this.$route.params.locale||""});this.navigationIndex=Object.freeze(t),this.navigationReferences=Object.freeze(n),R["default"].setIncludedArchiveIdentifiers(e)}catch(bh){this.errorFetching=!0}finally{this.isFetching=!1}}},watch:{"$route.params.locale":{handler:"fetchIndexData",immediate:!0}},render(){return this.$scopedSlots.default({technology:this.technologyWithChildren,isFetching:this.isFetching,errorFetching:this.errorFetching,isFetchingAPIChanges:this.isFetchingAPIChanges,apiChanges:this.diffs,flatChildren:this.flatChildren,references:this.navigationReferences})}},Lu=Pu,Ou=(0,j.Z)(Lu,bu,Tu,!1,null,null,null),Au=Ou.exports,Nu=function(){var e=this,t=e._self._c;return t("NavBase",{staticClass:"documentation-nav",attrs:{breakpoint:e.BreakpointName.medium,hasOverlay:!1,hasNoBorder:e.hasNoBorder,isDark:e.isDark,isWideFormat:"",hasFullWidthBorder:"","aria-label":e.$t("api-reference"),showActions:e.hasMenuItems},scopedSlots:e._u([e.displaySidenav?{key:"pre-title",fn:function({closeNav:n,isOpen:i,currentBreakpoint:a,className:s}){return[t("div",{class:s},[t("div",{staticClass:"sidenav-toggle-wrapper"},[t("button",{staticClass:"sidenav-toggle",attrs:{"aria-label":e.$t("navigator.open-navigator"),id:e.baseNavOpenSidenavButtonId,tabindex:i?-1:null},on:{click:function(t){return 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t("li",{key:n.api,staticClass:"language-list-item"},[n.api===e.languageModel?t("span",{staticClass:"current-language",attrs:{"data-language":n.api,"aria-current":"page"}},[e._v(" "+e._s(n.name)+" ")]):t("a",{staticClass:"nav-menu-link",attrs:{href:"#"},on:{click:function(t){return t.preventDefault(),e.pushRoute(n.route)}}},[e._v(" "+e._s(n.name)+" ")])])})),0)]):e._e()])},Fu=[],Hu=n(5151),Vu={name:"LanguageToggle",components:{InlineChevronDownIcon:Hu.Z,NavMenuItemBase:Dr.Z},inject:{store:{default(){return{setPreferredLanguage(){}}}}},props:{interfaceLanguage:{type:String,required:!0},objcPath:{type:String,required:!1},swiftPath:{type:String,required:!1},closeNav:{type:Function,default:()=>{}}},data(){return{languageModel:null,adjustedWidth:0}},mounted(){const e=Be((async()=>{await(0,Ee.J)(3),this.calculateSelectWidth()}),150);window.addEventListener("resize",e),window.addEventListener("orientationchange",e),this.$once("hook:beforeDestroy",(()=>{window.removeEventListener("resize",e),window.removeEventListener("orientationchange",e)}))},watch:{interfaceLanguage:{immediate:!0,handler(e){this.languageModel=e}},currentLanguage:{immediate:!0,handler:"calculateSelectWidth"}},methods:{getRoute(e){const t=e.query===D.Z.swift.key.url?void 0:e.query;return{query:{...this.$route.query,language:t},path:this.isCurrentPath(e.path)?null:(0,A.Jf)(e.path)}},async pushRoute(e){await this.closeNav(),this.store.setPreferredLanguage(e.query),this.$router.push(this.getRoute(e))},isCurrentPath(e){return this.$route.path.replace(/^\//,"")===e},async calculateSelectWidth(){await this.$nextTick(),this.adjustedWidth=this.$refs["language-sizer"].clientWidth+8}},computed:{languages(){return[{name:D.Z.swift.name,api:D.Z.swift.key.api,route:{path:this.swiftPath,query:D.Z.swift.key.url}},{name:D.Z.objectiveC.name,api:D.Z.objectiveC.key.api,route:{path:this.objcPath,query:D.Z.objectiveC.key.url}}]},currentLanguage:({languages:e,languageModel:t})=>e.find((e=>e.api===t)),hasLanguages:({objcPath:e,swiftPath:t})=>t&&e}},Wu=Vu,Uu=(0,j.Z)(Wu,ju,Fu,!1,null,"4323807e",null),Qu=Uu.exports,Gu={name:"DocumentationNav",components:{SidenavIcon:qu,NavBase:Bu.Z,NavMenuItems:rr.Z,LanguageToggle:Qu},props:{isDark:{type:Boolean,default:!1},hasNoBorder:{type:Boolean,default:!1},interfaceLanguage:{type:String,required:!1},objcPath:{type:String,required:!1},swiftPath:{type:String,required:!1},displaySidenav:{type:Boolean,default:!1}},computed:{baseNavOpenSidenavButtonId:()=>Ul.Yj,BreakpointName:()=>or.L3,hasLanguageToggle:({interfaceLanguage:e,swiftPath:t,objcPath:n})=>!(!e||!t&&!n),hasMenuItems:({hasLanguageToggle:e,$slots:t})=>!(!e&&!t["menu-items"])},methods:{async 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\ No newline at end of file diff --git a/BigDecimal.doccarchive/metadata.json b/BigDecimal.doccarchive/metadata.json new file mode 100644 index 0000000..dfd466b --- /dev/null +++ b/BigDecimal.doccarchive/metadata.json @@ -0,0 +1 @@ +{"schemaVersion":{"minor":1,"patch":0,"major":0},"bundleIdentifier":"bigdecimal.BigDecimal","bundleDisplayName":"BigDecimal"} \ No newline at end of file diff --git a/Package.resolved b/Package.resolved index 38e5386..57f9a11 100644 --- a/Package.resolved +++ b/Package.resolved @@ -5,8 +5,8 @@ "kind" : "remoteSourceControl", "location" : "https://github.com/mgriebling/BigInt.git", "state" : { - "revision" : "bd3f45f402138bd391669a3cc9118413f21d3dcc", - "version" : "2.1.0" + "revision" : "63a4619704c990a67ccd6ba6837c80ee863a2eec", + "version" : "2.2.4" } }, { @@ -17,6 +17,15 @@ "revision" : "0a5bc04095a675662cf24757cc0640aa2204253b", "version" : "1.0.2" } + }, + { + "identity" : "uint128", + "kind" : "remoteSourceControl", + "location" : "https://github.com/mgriebling/UInt128.git", + "state" : { + "revision" : "59dac4f14d657fd60bacfdfb7398d38b450af74f", + "version" : "3.1.5" + } } ], "version" : 2 diff --git a/Package.swift b/Package.swift index 515353c..6169916 100644 --- a/Package.swift +++ b/Package.swift @@ -1,14 +1,14 @@ -// swift-tools-version: 5.6 +// swift-tools-version: 5.9 // The swift-tools-version declares the minimum version of Swift required to build this package. import PackageDescription let package = Package( name: "BigDecimal", - platforms: [ - .macOS("15.0"), .iOS("18.0"), .macCatalyst("15.0"), .tvOS("18.0"), - .watchOS("11.0") - ], +// platforms: [ +// .macOS("13.3"), .iOS("16.4"), .macCatalyst("13.3"), .tvOS("16.4"), +// .watchOS("9.4") +// ], products: [ // Products define the executables and libraries a package produces, and make them visible to other packages. .library( @@ -17,15 +17,16 @@ let package = Package( ], dependencies: [ // Dependencies declare other packages that this package depends on. - .package(url: "https://github.com/mgriebling/BigInt.git", from: "2.0.11"), - .package(url: "https://github.com/apple/swift-numerics", from: "1.0.0") + .package(url: "https://github.com/mgriebling/BigInt.git", from: "2.2.0"), + .package(url: "https://github.com/apple/swift-numerics", from: "1.0.0"), + .package(url: "https://github.com/mgriebling/UInt128.git", from: "3.1.5") ], targets: [ // Targets are the basic building blocks of a package. A target can define a module or a test suite. // Targets can depend on other targets in this package, and on products in packages this package depends on. .target( name: "BigDecimal", - dependencies: ["BigInt", + dependencies: ["BigInt", "UInt128", .product(name: "Numerics", package: "swift-numerics")]), .testTarget( name: "BigDecimalTests", diff --git a/README.md b/README.md index 6f04f36..f923db0 100755 --- a/README.md +++ b/README.md @@ -25,8 +25,8 @@ Its functionality falls in the following categories: - up - Comparison: the six standard operators `==`, `!=`, `<`, `<=`, `>`, and `>=` -- Conversion: to String, to Double, to Decimal (the Swift Foundation type), to - Decimal32 / Decimal64 / Decimal128 +- Conversion: to/from String, to/from Double, to/from Decimal (the Swift + Foundation type), to/from Decimal32 / Decimal64 / Decimal128 - Support for Decimal32, Decimal64 and Decimal128 values stored as UInt32, UInt64 and UInt128 values respectively, using Densely Packed Decimal (DPD) encoding or Binary Integer Decimal (BID) encoding @@ -36,15 +36,15 @@ Its functionality falls in the following categories: ## Dependencies BigDecimal requires Swift from macOS 15.0+, iOS 18.0+, macCatalyst 15.0+, -tvOS 18.o+, or watchOS 11.0+. It also requires that the `Int` type be a 64-bit +tvOS 18.0+, or watchOS 11.0+. It also requires that the `Int` type be a 64-bit type. -The BigDecimal package depends on the `BigInt` and `swift-numerics` packages. +The BigDecimal package depends on the BigInt and swift-numerics packages. It also uses the built-in UInt128 which is part of the new OS releases. ``` dependencies: [ - .package(url: "https://github.com/mgriebling/BigInt.git", from: "2.0.0") + .package(url: "https://github.com/mgriebling/BigInt.git", from: "2.2.0") .package(url: "https://github.com/apple/swift-numerics", from: "1.0.0") ] ``` @@ -54,7 +54,7 @@ In your project's Package.swift file add a dependency like ``` dependencies: [ - .package(url: "https://github.com/mgriebling/BigDecimal.git", from: "2.0.0"), + .package(url: "https://github.com/mgriebling/BigDecimal.git", from: "2.2.0"), ] ``` @@ -67,361 +67,9 @@ I'm only using the BigDecimal arbitrary precision so likely won't address this as being urgent. The key problems with Decimal32 seem to be in how it is being rounded after calculations. -## Basics -### Creating BigDecimal's - -```swift -// From an integer -let x1 = BigDecimal(270) // = 270 -let x2 = BigDecimal(270, -2) // = 2.70 -let x3 = BigDecimal(314159265, -8) // = 3.14159265 - -// From a BInt -let x4 = BigDecimal(BInt(314159265), -8) // = 3.14159265 -let x5 = BigDecimal(BInt(100), -3) // = 0.100 - -// From a string literal -let rnd1 = Rounding(.halfEven, 2) -let x6 = BigDecimal("0.123").round(rnd1) // = 0.12 -let x7 = BigDecimal("3.14159265") // = 3.14159265 - -// From a double -let rnd2 = Rounding(.halfEven, 9) -let x8 = BigDecimal(0.1).round(rnd2) // = 0.100000000 -let x9 = BigDecimal(0.1) // = 0.1000000000000000055511151231257827021181583404541015625 -let x10 = BigDecimal(3.14159265) // = 3.141592650000000208621031561051495373249053955078125 -let x11 = BigDecimal(3.14159265).round(rnd2) // = 3.14159265 +## Documentation +The documentation is built with the DocC plugin and published on GitHub Pages at this location: -// From Decimal32 / 64 / 128 encoded values -let x32 = BigDecimal(UInt32(0x223000f0), .dpd) // = 1.70 -let x64 = BigDecimal(UInt64(0x22300000000000f0), .dpd) // = 1.70 -let x128 = BigDecimal(UInt128(0x2207800000000000, 0x00000000000000f0), .dpd) // = 1.70 -``` - -Because Double values cannot represent all decimal values exactly, -one sees that BigDecimal(0.1) is not exactly equal to 1 / 10 as one might expect. -On the other hand, BigDecimal("0.1") is in fact exactly equal to 1 / 10. - -### Creating Complex BigDecimals (CBDecimals) - -```swift -let c = CBDecimal.i // imaginary component of 1 -let a = CBDecimal(BigDecimal(10.5)) // real component of 10.5 -let b = CBDecimal(stringLiteral: "-1.54321e10-25.4i") // exact real and imaginary parts -``` - -### Converting BigDecimal's - -``BigDecimal`` values can be converted to `String` values, `Double` values, -`Decimal` (the Swift Foundation type) values, and ``Decimal32``, ``Decimal64``, -and ``Decimal128`` values. - -#### To String - -```swift -let x1 = BigDecimal("2.1").pow(3) -print(x1.asString()) // = 9.261 -``` - -#### To Double -```swift -let x2 = BigDecimal("2.1").pow(3) -print(x2.asDouble()) // = 9.261 -``` - -#### To Decimal (the Swift Foundation type) -```swift -let x3 = BigDecimal("1.70") -let xd: Decimal = x3.asDecimal() -print(xd) // = 1.70 -``` - -#### To Decimal32 / 64 / 128 -```swift -let x4 = BigDecimal("1.70") -let x32: UInt32 = x4.asDecimal32(.dpd) -let x64: UInt64 = x4.asDecimal64(.dpd) -let x128: UInt128 = x4.asDecimal128(.dpd) -print(String(x32, radix: 16)) // = 223000f0 -print(String(x64, radix: 16)) // = 22300000000000f0 -print(String(x128, radix: 16)) // = 220780000000000000000000000000f0 -``` - -### Comparing BigDecimal's - -The six standard operators ``== != < <= > >=`` are available to compare values. -The two operands may either be two ``BigDecimal``'s or a ``BigDecimal`` and -an integer. If neither of the operands is NaN, the operators perform as expected. -For example, -``BigDecimal/infinity`` is less than any finite number which in -turn is less than +``BigDecimal/infinity``. - -Please see the section *About NaN's* for the rules governing comparison involving NaN's. - -The static function `BigDecimal.maximum(x:y:)` returns the non-NaN number if -either x or y is NaN; otherwise it returns the larger of x and y. - -The static function `BigDecimal.minimum(x:y:)` returns the non-NaN number if -either x or y is NaN; otherwise it returns the smaller of x and y. - -### Exact Arithmetic - -The '+', '-', and '\*' operators always produce exact results. The '/' operator -truncates the exact result to an integer. - -```swift -let a = BigDecimal("25.1") -let b = BigDecimal("12.0041") - -print(a + b) // = 37.1041 -print(a - b) // = 13.0959 -print(a * b) // = 301.30291 -print(a / b) // = 2 -``` - -The *quotientAndRemainder* function produces an integer quotient and exact remainder - -```swift -print(a.quotientAndRemainder(b)) // = (quotient: 2, remainder: 1.0918) -``` - -### Rounded Arithmetic - -Rounding is controlled by Rounding objects that contain a rounding mode and a -precision, which is the number of digits in the rounded result. - -The rounding modes are: - -- awayFromZero - round away from 0 -- down - round towards -infinity -- up - round towards +infinity -- towardZero - round towards 0 -- toNearestOrEven - round to nearest, ties to even -- toNearestOrAwayFromZero - round to nearest, ties away from 0 - -The *add*, *subtract* and *multiply* methods have a Rounding parameter that -controls how the result is rounded. - -#### Examples - -```swift -let a = BigDecimal("25.1E-2") -let b = BigDecimal("12.0041E-3") -let rnd = Rounding(.ceiling, 3) - -print(a + b) // = 0.2630041 -print(a.add(b, rnd)) // = 0.264 -print(a - b) // = 0.2389959 -print(a.subtract(b, rnd)) // = 0.239 -print(a * b) // = 0.0030130291 -print(a.multiply(b, rnd)) // = 0.00302 -``` - -### Precise division - -The *divide* method, that has an optional rounding parameter, performs division. -If the quotient has finite decimal expansion, the rounding parameter may or may not be present, it is used if it is there. -If the quotient has infinite decimal expansion, the rounding parameter must be present and is used to round the result. - -#### Examples -```swift -let x1 = BigDecimal(3) -let x2 = BigDecimal(48) -print(x1.divide(x2)) // = 0.0625 -let rnd = Rounding(.ceiling, 2) -print(x1.divide(x2, rnd)) // = 0.063 - -let x3 = BigDecimal(3) -let x4 = BigDecimal(49) -print(x3.divide(x4)) // = NaN because the quotient has infinite decimal expansion 0.06122448... -print(x3.divide(x4, rnd)) // = 0.062 -``` - -## Data Encoding -BigDecimal's can be encoded as Data objects (perhaps for long term storage) using the *asData* method, -and they can be regenerated from their Data encoding using the appropriate initializer. -The encoding rules are: - -- The encoding contains nine or more bytes. The first eight bytes is a - Big Endian encoding of the signed exponent. - The remaining bytes is a Big Endian encoding of the signed significand. -- NaN's (and signaling NaNs) are encoded as a single byte = 0 -- positive infinity is encoded as a single byte = 1 -- negative infinity is encoded as a single byte = 2 -- negative zero is encoded as a single byte = 3 - -It is also possible to encode BigDecimal's using the `JSONEncoder` or as a -property list using the `PropertyListEncoder` as in the second example. - -### Examples -```swift -let x1 = BigDecimal(1000, 3) // = 1000000 -print(Bytes(x1.asData())) // = [0, 0, 0, 0, 0, 0, 0, 3, 3, 232] - -let x2 = BigDecimal(1000, -3) // = 1.000 -print(Bytes(x2.asData())) // = [255, 255, 255, 255, 255, 255, 255, 253, 3, 232] - -let x3 = BigDecimal(-1000, 3) // = -1000000 -print(Bytes(x3.asData())) // = [0, 0, 0, 0, 0, 0, 0, 3, 252, 24] - -let x4 = BigDecimal(-1000, -3) // = -1.000 -print(Bytes(x4.asData())) // = [255, 255, 255, 255, 255, 255, 255, 253, 252, 24] -``` - -```swift -let encoder = JSONEncoder() -let x1 = BigDecimal(1000, 3) // = 1000000 -if let encoded = try? encoder.encode(x1) { - // save `encoded` data somewhere or - - // extract the JSON string from the data - if let json = String(data: encoded, encoding: .utf8) { - print(json) - } -} -``` - -## Decimal Formats -Decimal values can be represented not only as BigDecimal's but also as Double values, -Decimal (the Swift Foundation type) values, and Decimal32 / 64 / 128 values. -The strategy for working with other than BigDecimal values can be summarized as follows: - - -- convert the input values to BigDecimal's using the appropriate initializer -- compute the results -- convert the results back to the desired output format using the appropriate conversion function - - -As an example, suppose you must compute the average value of three values a, b and c which are encoded as Decimal32 values using Densely Packed Decimal (DPD) encoding. -The result x must likewise be a Decimal32 value encoded using DPD. - -```swift -// Input values -let a = UInt32(0x223e1117) // = 7042.17 DPD encoded -let b = UInt32(0x22300901) // = 22.01 DPD encoded -let c = UInt32(0xa230cc00) // = -330.00 DPD encoded - -// Convert to BigDecimal's -let A = BigDecimal(a, .dpd) -let B = BigDecimal(b, .dpd) -let C = BigDecimal(c, .dpd) - -// Compute result -let X = (A + B + C).divide(3, Rounding.decimal32) -print(X) // = 2244.727 - -// Convert result back to Decimal32 -let x = X.asDecimal32(.dpd) -print(String(x, radix: 16)) // = 2a2513a7 (= 2244.727 DPD encoded) -``` - -## About Infinities -The constants `BigDecimal.infinity` and `-BigDecimal.infinity` represent -+Infinity and -Infinity respectively. -`-infinity` compares less than every finite number, -and every finite number compares less than `infinity`. Arithmetic operations -involving infinite values is illustrated by the examples below: - -```swift -let InfP = BigDecimal.infinity // Just to save some writing -let InfN = -BigDecimal.infinity - -print(InfP + 3) // +Infinity -print(InfN + 3) // -Infinity -print(InfP + InfP) // +Infinity -print(InfP - InfP) // NaN -print(InfP * 3) // +Infinity -print(InfP * InfP) // +Infinity -print(InfP * InfN) // -Infinity -print(InfP * 0) // NaN -print(InfP / 3) // +Infinity -print(InfP / 0) // +Infinity -print(1 / InfP) // 0 -print(1 / InfN) // 0 -print(InfP / InfP) // NaN -print(InfP < InfP) // false -print(InfP == InfP) // true -print(InfP != InfP) // false -print(InfP > InfP) // false -print(Rounding.decimal32.round(InfP)) // +Infinity -print(InfP.scale(4)) // +Infinity -print(InfP.scale(-4)) // +Infinity -print(InfP.withExponent(10, .up)) // NaN -``` - -## About NaN's -The IEEE 754 standard specifies two NaN's, a quiet NaN (qNaN) and a signaling NaN (sNaN). -The constant *BigDecimal.NaN* corresponds to the quiet NaN and -`BigDecimal.signalingNan` to the signaling NaN. - -Arithmetic operations where one or more input is NaN, return NaN as result. -Comparing NaN values is illustrated by the example below: - -```swift -let NaN = BigDecimal.NaN // Just to save some writing - -print(3 < NaN) // false -print(NaN < 3) // false -print(NaN < NaN) // false -print(3 <= NaN) // false -print(NaN <= 3) // false -print(NaN <= NaN) // false -print(3 > NaN) // false -print(NaN > 3) // false -print(NaN > NaN) // false -print(3 >= NaN) // false -print(NaN >= 3) // false -print(NaN >= NaN) // false -print(3 == NaN) // false -print(NaN == 3) // false -print(NaN == NaN) // false -print(3 != NaN) // true -print(NaN != 3) // true -print(NaN != NaN) // true !!! -``` - -Because NaN != NaN is true, sorting a collection of BigDecimal's doesn't -work if the collection contains one or more NaN's. This is so, even if -BigDecimal conforms to the Comparable protocol. Note: It is possible to -sort values including NaNs using the `isTotallyOrdered(belowOrEqualTo:)` -method. - -The following example uses `isTotallyOrdered(belowOrEqualTo:)` to sort an -array of floating-point values, including some that are NaN: - -```swift -var numbers = [2.5, 21.25, 3.0, .nan, -9.5] -numbers.sort { !$1.isTotallyOrdered(belowOrEqualTo: $0) } -print(numbers) -// Prints "[-9.5, 2.5, 3.0, 21.25, nan]" -``` - -There is a static boolean variable *BigDecimal.NaNFlag* which is set to -*true* whenever a NaN value is generated. It can be set to *false* by -application code. Therefore, to check if a sequence of code generates NaN, -set NaNFlag to *false* before the code and check it after the code. Since -a BigDecimal has a stored property *isNaN*, it is of course also possible to -check for a NaN value at any time. - -## References - -Algorithms from the following books and papers have been used in the implementation. -There are references in the source code where appropriate. - -- [GRANLUND] - Moller and Granlund: Improved Division by Invariant Integers, 2011 -- [IEEE] - IEEE Standard for Floating-Point Arithmetic, 2019 -- [KNUTH] - Donald E. Knuth: Seminumerical Algorithms, Addison-Wesley 1971 - - -## Acknowledgement +https://mgriebling.github.io/BigDecimal/documentation/bigdecimal -1. Much of the original [BigDecimal][spec1] (pre-V2) was created by Leif Ibsen. -2. Some unit test cases come from the [General Decimal Arithmetic][spec2] -3. Additional unit test cases and some algorithms are from the - [Intel C Decimal Floating-Point Math library][spec3] -4. Floating point math functions are translated to Swift from the - [Java BigDecimalMath][spec4] implementation by Eric Obermühlner. - -[spec1]: https://github.com/leif-ibsen/BigDecimal.git -[spec2]: http://speleotrove.com/decimal -[spec3]: https://www.intel.com/content/www/us/en/developer/articles/tool/intel-decimal-floating-point-math-library.html -[spec4]: https://github.com/eobermuhlner/big-math +The documentation is also available in the *BigDecimal.doccarchive* file. diff --git a/Sources/BigDecimal/Docs/BigDecimal.docc/BigDecimal.md b/Sources/BigDecimal/BigDecimal.docc/BigDecimal.md similarity index 100% rename from Sources/BigDecimal/Docs/BigDecimal.docc/BigDecimal.md rename to Sources/BigDecimal/BigDecimal.docc/BigDecimal.md diff --git a/Sources/BigDecimal/BigDecimal.swift b/Sources/BigDecimal/BigDecimal.swift index ed79c40..7ac6716 100644 --- a/Sources/BigDecimal/BigDecimal.swift +++ b/Sources/BigDecimal/BigDecimal.swift @@ -7,7 +7,7 @@ import Foundation // For Data/Decimal data types import BigInt // Basis for digit storage and conversions -// import UInt128 // For UInt128 data type +import UInt128 public typealias Sign = FloatingPointSign diff --git a/Sources/BigDecimal/Decimal128.swift b/Sources/BigDecimal/Decimal128.swift index a4cdbc4..e5166aa 100644 --- a/Sources/BigDecimal/Decimal128.swift +++ b/Sources/BigDecimal/Decimal128.swift @@ -13,7 +13,8 @@ WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. */ -// import UInt128 + +import UInt128 import BigInt /// Implementation of the 128-bit Decimal128 floating-point operations from @@ -26,7 +27,8 @@ import BigInt /// /// Calculations convert Decimal128 numbers to BigDecimal format, perform /// the operation, and convert back to Decimal128 format. -public struct Decimal128 : DecimalType, Codable, Hashable, Sendable { +public struct Decimal128 : DecimalType, Codable, Hashable, Sendable { + // Decimal64 characteristics static let largestNumber = UInt128("9999999999999999999999999999999999")! static let exponentBias = 6176 @@ -40,7 +42,7 @@ public struct Decimal128 : DecimalType, Codable, Hashable, Sendable { var bid: UInt128 = 0 public init(bid: UInt128) { self.bid = bid } - init(bid: ID) { self.bid = bid.asDecimal128(.bid) } + init(bid: ID) { self.bid = bid.asDecimal128(.bid) } /// convenience method to get the BigDecimal version of `bid` var bd : BigDecimal { ID(self.bid, .bid) } diff --git a/Sources/BigDecimal/DecimalMath/DecimalMath.swift b/Sources/BigDecimal/DecimalMath/DecimalMath.swift index c07d9b2..ecb7b1d 100644 --- a/Sources/BigDecimal/DecimalMath/DecimalMath.swift +++ b/Sources/BigDecimal/DecimalMath/DecimalMath.swift @@ -139,6 +139,12 @@ extension BigDecimal { return cache }() + /** + * Computes an integer factorial. + * + * - Parameter n: Factorial to calculate. + * - Returns: The BigDecimal factorial of `n`. + */ public static func factorial(_ n: Int) -> BigDecimal { precondition(n >= 0, "Illegal factorial(n) for n < 0: n = \(n)") diff --git a/Sources/BigDecimal/Docs/BigDecimal.docc/BigDecimal.doccarchive/css/chunk-384ef189.7ede1ea3.css b/Sources/BigDecimal/Docs/BigDecimal.docc/BigDecimal.doccarchive/css/chunk-384ef189.7ede1ea3.css deleted file mode 100644 index f489ad7..0000000 --- a/Sources/BigDecimal/Docs/BigDecimal.docc/BigDecimal.doccarchive/css/chunk-384ef189.7ede1ea3.css +++ /dev/null @@ -1,9 +0,0 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var(--color-grid);display:flex;align-items:center;height:3.05882rem;white-space:nowrap}.navigator-card .navigator-head .card-link[data-v-4a898368]{color:var(--color-text);font-size:.82353rem;line-height:1.42857;font-weight:400;font-family:var(--typography-html-font,"Helvetica Neue","Helvetica","Arial",sans-serif);font-weight:600;overflow:hidden;text-overflow:ellipsis}.navigator-card .navigator-head .badge[data-v-4a898368]{margin-top:0}.navigator-card .navigator-head.router-link-exact-active[data-v-4a898368]{background:var(--color-fill)}.navigator-card .navigator-head.router-link-exact-active .card-link[data-v-4a898368]{font-weight:700}.navigator-card .navigator-head[data-v-4a898368]:hover{background:var(--color-navigator-item-hover);text-decoration:none}@supports (padding:max(0px)){.navigator-card .navigator-head[data-v-4a898368]{padding-left:max(var(--card-horizontal-spacing),env(safe-area-inset-left));padding-right:max(var(--navigator-head-padding-right),env(safe-area-inset-right))}}@media only screen and (max-width:1023px){.navigator-card .navigator-head[data-v-4a898368]{justify-content:center;--navigator-head-padding-right:var(--card-horizontal-spacing)}}@media only screen and (max-width:767px){.navigator-card .navigator-head[data-v-4a898368]{height:2.82353rem;padding:0 20px}}.close-card[data-v-4a898368]{display:flex;position:absolute;z-index:1;align-items:center;justify-content:center;right:1rem;padding:5px;margin-left:-5px;top:calc(50% - 14px);transition:transform .3s ease-in 0s,visibility 0s}@media only screen and (max-width:1023px){.close-card[data-v-4a898368]{right:unset;top:0;left:0;margin:0;padding:0 1.29412rem 0 20px;height:100%}@supports (padding:max(0px)){.close-card[data-v-4a898368]{padding-left:max(1.29412rem,env(safe-area-inset-left))}}}@media only screen and (max-width:767px){.close-card[data-v-4a898368]{padding-left:.94118rem;padding-right:.94118rem}@supports (padding:max(0px)){.close-card[data-v-4a898368]{padding-left:max(.94118rem,env(safe-area-inset-left))}}}.close-card .close-icon[data-v-4a898368]{width:19px;height:19px}@media only screen and (min-width:1024px){.close-card.hide-on-large[data-v-4a898368]{display:none}.close-card[data-v-4a898368]:hover{border-radius:var(--border-radius,4px);background:var(--color-fill-gray-quaternary)}.sidebar-hidden .close-card[data-v-4a898368]{transition:transform .3s ease-in 0s,visibility 0s linear .3s;visibility:hidden;transform:translateX(3.76471rem)}}[data-v-4a898368] .card-body{padding-right:0;flex:1 1 auto;min-height:0;height:100%}@media only screen and (max-width:1023px){[data-v-4a898368] .card-body{--card-vertical-spacing:0px}}.navigator-card-inner[data-v-4a898368]{display:flex;flex-flow:column;height:100%}.vue-recycle-scroller{position:relative}.vue-recycle-scroller.direction-vertical:not(.page-mode){overflow-y:auto}.vue-recycle-scroller.direction-horizontal:not(.page-mode){overflow-x:auto}.vue-recycle-scroller.direction-horizontal{display:-webkit-box;display:-ms-flexbox;display:flex}.vue-recycle-scroller__slot{-webkit-box-flex:1;-ms-flex:auto 0 0px;flex:auto 0 0}.vue-recycle-scroller__item-wrapper{-webkit-box-flex:1;-ms-flex:1;flex:1;-webkit-box-sizing:border-box;box-sizing:border-box;overflow:hidden;position:relative}.vue-recycle-scroller.ready .vue-recycle-scroller__item-view{position:absolute;top:0;left:0;will-change:transform}.vue-recycle-scroller.direction-vertical .vue-recycle-scroller__item-wrapper{width:100%}.vue-recycle-scroller.direction-horizontal .vue-recycle-scroller__item-wrapper{height:100%}.vue-recycle-scroller.ready.direction-vertical .vue-recycle-scroller__item-view{width:100%}.vue-recycle-scroller.ready.direction-horizontal .vue-recycle-scroller__item-view{height:100%}.resize-observer[data-v-b329ee4c]{border:none;background-color:transparent;opacity:0}.resize-observer[data-v-b329ee4c],.resize-observer[data-v-b329ee4c] object{position:absolute;top:0;left:0;z-index:-1;width:100%;height:100%;pointer-events:none;display:block;overflow:hidden}.navigator-card.filter-on-top .filter-wrapper[data-v-a440d59c]{order:1;position:static}.navigator-card.filter-on-top .card-body[data-v-a440d59c]{order:2}.no-items-wrapper[data-v-a440d59c]{overflow:hidden;color:var(--color-figure-gray-tertiary)}.no-items-wrapper .no-items[data-v-a440d59c]{font-size:.82353rem;line-height:1.42857;font-weight:400;font-family:var(--typography-html-font,"Helvetica Neue","Helvetica","Arial",sans-serif);padding:var(--card-vertical-spacing) var(--card-horizontal-spacing);min-width:200px;box-sizing:border-box}.navigator-filter[data-v-a440d59c]{box-sizing:border-box;padding:15px var(--nav-filter-horizontal-padding);border-top:1px solid var(--color-grid);height:73px;display:flex;align-items:flex-end}.filter-on-top .navigator-filter[data-v-a440d59c]{border-top:none;align-items:flex-start}@supports (padding:max(0px)){.navigator-filter[data-v-a440d59c]{padding-left:max(var(--nav-filter-horizontal-padding),env(safe-area-inset-left));padding-right:max(var(--nav-filter-horizontal-padding),env(safe-area-inset-right))}}@media only screen and (max-width:1023px){.navigator-filter[data-v-a440d59c]{--nav-filter-horizontal-padding:20px;border:none;padding-top:10px;padding-bottom:10px;height:62px}}.navigator-filter .input-wrapper[data-v-a440d59c]{position:relative;flex:1;min-width:0}.navigator-filter 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(max-width:1023px){.sidebar-transitioning .filter-wrapper[data-v-a440d59c]{flex-basis:62px}}.loader[data-v-0de29914]{height:.70588rem;background-color:var(--color-fill-gray-tertiary);border-radius:4px}.navigator-icon[data-v-0de29914]{width:16px;height:16px;border-radius:2px;background-color:var(--color-fill-gray-tertiary)}.loading-navigator-item[data-v-0de29914]{-webkit-animation:pulse 2.5s ease;animation:pulse 2.5s ease;-webkit-animation-iteration-count:infinite;animation-iteration-count:infinite;-webkit-animation-fill-mode:forwards;animation-fill-mode:forwards;opacity:0;-webkit-animation-delay:calc(var(--visibility-delay) + 0.3s*var(--index));animation-delay:calc(var(--visibility-delay) + 0.3s*var(--index))}.delay-visibility-enter-active[data-v-4b6d345f]{transition:visibility var(--visibility-delay);visibility:hidden}.loading-navigator[data-v-4b6d345f]{padding-top:var(--card-vertical-spacing)}.navigator[data-v-048fdefe]{height:100%;display:flex;flex-flow:column}@media only screen and (max-width:1023px){.navigator[data-v-048fdefe]{position:static;transition:none}}.hierarchy-collapsed-items[data-v-74906830]{position:relative;display:inline-flex;align-items:center;margin-left:.17647rem}.hierarchy-collapsed-items .hierarchy-item-icon[data-v-74906830]{width:9px;height:15px;margin-right:.17647rem;display:flex;justify-content:center;font-size:1em;align-self:baseline}.nav--in-breakpoint-range .hierarchy-collapsed-items[data-v-74906830]{display:none}.hierarchy-collapsed-items .toggle[data-v-74906830]{background:var(--color-nav-hierarchy-collapse-background);border-color:var(--color-nav-hierarchy-collapse-borders);border-radius:var(--border-radius,4px);border-style:solid;border-width:0;font-weight:600;height:1.11765rem;text-align:center;width:2.11765rem;display:flex;align-items:center;justify-content:center}.theme-dark .hierarchy-collapsed-items .toggle[data-v-74906830]{background:var(--color-nav-dark-hierarchy-collapse-background)}.hierarchy-collapsed-items .toggle.focused[data-v-74906830],.hierarchy-collapsed-items .toggle[data-v-74906830]:active,.hierarchy-collapsed-items .toggle[data-v-74906830]:focus{box-shadow:0 0 0 4px var(--color-focus-color);outline:none}.indicator[data-v-74906830]{width:1em;height:1em;display:flex;align-items:center}.indicator .toggle-icon[data-v-74906830]{width:100%}.dropdown[data-v-74906830]{background:var(--color-nav-hierarchy-collapse-background);border-color:var(--color-nav-hierarchy-collapse-borders);border-radius:var(--border-radius,4px);border-style:solid;box-shadow:0 1px 4px -1px var(--color-figure-gray-secondary);border-width:0;padding:0 .5rem;position:absolute;z-index:42;top:calc(100% + .41176rem)}.theme-dark .dropdown[data-v-74906830]{background:var(--color-nav-dark-hierarchy-collapse-background);border-color:var(--color-nav-dark-hierarchy-collapse-borders)}.dropdown.collapsed[data-v-74906830]{opacity:0;transform:translate3d(0,-.41176rem,0);transition:opacity .25s ease,transform .25s ease,visibility 0s linear .25s;visibility:hidden}.dropdown[data-v-74906830]:not(.collapsed){opacity:1;transform:none;transition:opacity .25s ease,transform .25s ease,visibility 0s linear 0s;visibility:visible}.nav--in-breakpoint-range .dropdown[data-v-74906830]:not(.collapsed){display:none}.dropdown[data-v-74906830]:before{border-bottom-color:var(--color-nav-hierarchy-collapse-background);border-bottom-style:solid;border-bottom-width:.5rem;border-left-color:transparent;border-left-style:solid;border-left-width:.5rem;border-right-color:transparent;border-right-style:solid;border-right-width:.5rem;content:"";left:1.26471rem;position:absolute;top:-.44118rem}.theme-dark .dropdown[data-v-74906830]:before{border-bottom-color:var(--color-nav-dark-hierarchy-collapse-background)}.dropdown-item[data-v-74906830]{border-top-color:var(--color-nav-hierarchy-collapse-borders);border-top-style:solid;border-top-width:1px}.theme-dark .dropdown-item[data-v-74906830]{border-top-color:var(--color-nav-dark-hierarchy-collapse-borders)}.dropdown-item[data-v-74906830]:first-child{border-top:none}.nav-menu-link[data-v-74906830]{max-width:57.64706rem;overflow:hidden;text-overflow:ellipsis;white-space:nowrap;display:block;padding:.75rem 1rem}.hierarchy-item[data-v-382bf39e]{display:flex;align-items:center;margin-left:.17647rem}.hierarchy-item[data-v-382bf39e] .hierarchy-item-icon{width:9px;height:15px;margin-right:.17647rem;display:flex;justify-content:center;font-size:1em;align-self:baseline}.nav--in-breakpoint-range .hierarchy-item[data-v-382bf39e] .hierarchy-item-icon{display:none}.nav--in-breakpoint-range .hierarchy-item[data-v-382bf39e]{border-top:1px solid var(--color-nav-hierarchy-item-borders);display:flex;align-items:center}.theme-dark.nav--in-breakpoint-range .hierarchy-item[data-v-382bf39e]{border-top-color:var(--color-nav-dark-hierarchy-item-borders)}.nav--in-breakpoint-range .hierarchy-item[data-v-382bf39e]:first-of-type{border-top:none}.hierarchy-item.collapsed[data-v-382bf39e]{display:none}.nav--in-breakpoint-range .hierarchy-item.collapsed[data-v-382bf39e]{display:inline-block}.item[data-v-382bf39e]{display:inline-block;vertical-align:middle}.nav--in-breakpoint-range .item[data-v-382bf39e]{max-width:100%;overflow:hidden;text-overflow:ellipsis;white-space:nowrap;height:100%;line-height:2.47059rem}@media only screen and (min-width:768px){.hierarchy-item:first-child:last-child .item[data-v-382bf39e],.hierarchy-item:first-child:last-child~.hierarchy-item .item[data-v-382bf39e]{max-width:45rem;overflow:hidden;text-overflow:ellipsis;white-space:nowrap}.has-badge .hierarchy-item:first-child:last-child .item[data-v-382bf39e],.has-badge .hierarchy-item:first-child:last-child~.hierarchy-item .item[data-v-382bf39e],.hierarchy-item:first-child:nth-last-child(2) .item[data-v-382bf39e],.hierarchy-item:first-child:nth-last-child(2)~.hierarchy-item .item[data-v-382bf39e]{max-width:36rem;overflow:hidden;text-overflow:ellipsis;white-space:nowrap}.has-badge .hierarchy-item:first-child:nth-last-child(2) .item[data-v-382bf39e],.has-badge .hierarchy-item:first-child:nth-last-child(2)~.hierarchy-item .item[data-v-382bf39e]{max-width:28.8rem;overflow:hidden;text-overflow:ellipsis;white-space:nowrap}.hierarchy-item:first-child:nth-last-child(3) .item[data-v-382bf39e],.hierarchy-item:first-child:nth-last-child(3)~.hierarchy-item .item[data-v-382bf39e]{max-width:27rem;overflow:hidden;text-overflow:ellipsis;white-space:nowrap}.has-badge .hierarchy-item:first-child:nth-last-child(3) .item[data-v-382bf39e],.has-badge .hierarchy-item:first-child:nth-last-child(3)~.hierarchy-item .item[data-v-382bf39e]{max-width:21.6rem;overflow:hidden;text-overflow:ellipsis;white-space:nowrap}.hierarchy-item:first-child:nth-last-child(4) .item[data-v-382bf39e],.hierarchy-item:first-child:nth-last-child(4)~.hierarchy-item .item[data-v-382bf39e]{max-width:18rem;overflow:hidden;text-overflow:ellipsis;white-space:nowrap}.has-badge .hierarchy-item:first-child:nth-last-child(4) .item[data-v-382bf39e],.has-badge .hierarchy-item:first-child:nth-last-child(4)~.hierarchy-item .item[data-v-382bf39e]{max-width:14.4rem;overflow:hidden;text-overflow:ellipsis;white-space:nowrap}.hierarchy-item:first-child:nth-last-child(5) .item[data-v-382bf39e],.hierarchy-item:first-child:nth-last-child(5)~.hierarchy-item .item[data-v-382bf39e]{max-width:9rem;overflow:hidden;text-overflow:ellipsis;white-space:nowrap}.has-badge .hierarchy-item:first-child:nth-last-child(5) .item[data-v-382bf39e],.has-badge .hierarchy-item:first-child:nth-last-child(5)~.hierarchy-item .item[data-v-382bf39e]{max-width:7.2rem;overflow:hidden;text-overflow:ellipsis;white-space:nowrap}.hierarchy-collapsed-items~.hierarchy-item .item[data-v-382bf39e]{max-width:10.8rem;overflow:hidden;text-overflow:ellipsis;white-space:nowrap}.hierarchy-collapsed-items~.hierarchy-item:last-child .item[data-v-382bf39e]{max-width:none}.has-badge .hierarchy-collapsed-items~.hierarchy-item .item[data-v-382bf39e]{max-width:8.64rem;overflow:hidden;text-overflow:ellipsis;white-space:nowrap}}.hierarchy[data-v-42bf934a]{justify-content:flex-start;min-width:0;margin-right:80px}.nav--in-breakpoint-range .hierarchy[data-v-42bf934a]{margin-right:0}.hierarchy .root-hierarchy .item[data-v-42bf934a]{max-width:10rem;overflow:hidden;text-overflow:ellipsis;white-space:nowrap}.nav-menu-setting-label[data-v-005af823]{margin-right:.35294rem;white-space:nowrap}.language-dropdown[data-v-005af823]{-webkit-text-size-adjust:none;-webkit-appearance:none;-moz-appearance:none;appearance:none;border:none;background-color:transparent;box-sizing:inherit;padding:0 11px 0 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--- a/Sources/BigDecimal/Docs/BigDecimal.docc/BigDecimal.doccarchive/data/documentation/bigdecimal.json +++ /dev/null @@ -1 +0,0 @@ -{"primaryContentSections":[{"kind":"content","content":[{"anchor":"overview","level":2,"type":"heading","text":"Overview"},{"type":"paragraph","inlineContent":[{"type":"text","text":"Its functionality falls in the following categories:"}]},{"type":"unorderedList","items":[{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"Arithmetic: addition, subtraction, multiplication, division, remainder and"},{"type":"text","text":" "},{"type":"text","text":"exponentiation"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"Constants: pi, zero, one, ten"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"Functions: exp, log, log10, log2, pow, sqrt, root, factorial, gamma,"},{"type":"text","text":" "},{"type":"text","text":"trig + inverse, hyperbolic + inverse"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"Rounding and scaling according to one of the rounding modes:"}]},{"type":"unorderedList","items":[{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"awayFromZero"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"down"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"towardZero"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"toNearestOrEven"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"toNearestOrAwayFromZero"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"up"}]}]}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"Comparison: the six standard operators "},{"type":"codeVoice","code":"=="},{"type":"text","text":", "},{"type":"codeVoice","code":"!="},{"type":"text","text":", "},{"type":"codeVoice","code":"<"},{"type":"text","text":", "},{"type":"codeVoice","code":"<="},{"type":"text","text":", "},{"type":"codeVoice","code":">"},{"type":"text","text":", and "},{"type":"codeVoice","code":">="}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"Conversion: to String, to Double, to Decimal (the Swift Foundation type), to"},{"type":"text","text":" "},{"type":"text","text":"Decimal32 \/ Decimal64 \/ Decimal128"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"Support for Decimal32, Decimal64 and Decimal128 values stored as UInt32,"},{"type":"text","text":" "},{"type":"text","text":"UInt64 and UInt128 values respectively, using Densely Packed Decimal (DPD)"},{"type":"text","text":" "},{"type":"text","text":"encoding or Binary Integer Decimal (BID) encoding"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"Support for Decimal32, Decimal64 and Decimal128 mathematical operations"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"Supports the IEEE 754 concepts of Infinity and NaN (Not a Number) with the"},{"type":"text","text":" "},{"type":"text","text":"latter having a "},{"type":"codeVoice","code":"signaling"},{"type":"text","text":" option."}]}]}]},{"anchor":"Dependencies","level":2,"type":"heading","text":"Dependencies"},{"type":"paragraph","inlineContent":[{"type":"text","text":"BigDecimal requires Swift from macOS 13.3+, iOS 16.4+, macCatalyst 16.4+,"},{"type":"text","text":" "},{"type":"text","text":"tvOS 16.4+, or watchOS 9.4+. It also requires that the "},{"type":"codeVoice","code":"Int"},{"type":"text","text":" type be a 64-bit"},{"type":"text","text":" "},{"type":"text","text":"type."}]},{"type":"paragraph","inlineContent":[{"type":"text","text":"The BigDecimal package depends on the BigInt and UInt128 packages."}]},{"type":"codeListing","syntax":null,"code":["dependencies: ["," .package(url: \"https:\/\/github.com\/mgriebling\/BigInt.git\", from: \"2.0.0\"),"," .package(url: \"https:\/\/github.com\/mgriebling\/UInt128.git\", from: \"3.0.0\")","]"]},{"anchor":"Usage","level":2,"type":"heading","text":"Usage"},{"type":"paragraph","inlineContent":[{"type":"text","text":"In your project’s Package.swift file add a dependency like"}]},{"type":"codeListing","syntax":null,"code":["dependencies: ["," .package(url: \"https:\/\/github.com\/mgriebling\/BigDecimal.git\", from: \"2.0.0\"),","]"]},{"anchor":"Basics","level":2,"type":"heading","text":"Basics"},{"anchor":"Creating-BigDecimals","level":3,"type":"heading","text":"Creating BigDecimal’s"},{"type":"codeListing","syntax":"swift","code":["\/\/ From an integer","let x1 = BigDecimal(270) \/\/ = 270","let x2 = BigDecimal(270, -2) \/\/ = 2.70","let x3 = BigDecimal(314159265, -8) \/\/ = 3.14159265"," ","\/\/ From a BInt","let x4 = BigDecimal(BInt(314159265), -8) \/\/ = 3.14159265","let x5 = BigDecimal(BInt(100), -3) \/\/ = 0.100"," ","\/\/ From a string literal","let rnd1 = Rounding(.halfEven, 2)","let x6 = BigDecimal(\"0.123\").round(rnd1) \/\/ = 0.12","let x7 = BigDecimal(\"3.14159265\") \/\/ = 3.14159265"," ","\/\/ From a double","let rnd2 = Rounding(.halfEven, 9)","let x8 = BigDecimal(0.1).round(rnd2) \/\/ = 0.100000000","let x9 = BigDecimal(0.1) \/\/ = 0.1000000000000000055511151231257827021181583404541015625","let x10 = BigDecimal(3.14159265) \/\/ = 3.141592650000000208621031561051495373249053955078125","let x11 = BigDecimal(3.14159265).round(rnd2) \/\/ = 3.14159265","","\/\/ From Decimal32 \/ 64 \/ 128 encoded values","let x32 = BigDecimal(UInt32(0x223000f0), .dpd) \/\/ = 1.70","let x64 = BigDecimal(UInt64(0x22300000000000f0), .dpd) \/\/ = 1.70","let x128 = BigDecimal(UInt128(0x2207800000000000, 0x00000000000000f0), .dpd) \/\/ = 1.70"]},{"type":"paragraph","inlineContent":[{"type":"text","text":"Because Double values cannot represent all decimal values exactly,"},{"type":"text","text":" "},{"type":"text","text":"one sees that BigDecimal(0.1) is not exactly equal to 1 \/ 10 as one might expect."},{"type":"text","text":" "},{"type":"text","text":"On the other hand, BigDecimal(“0.1”) is in fact exactly equal to 1 \/ 10."}]},{"anchor":"Converting-BigDecimals","level":3,"type":"heading","text":"Converting BigDecimal’s"},{"type":"paragraph","inlineContent":[{"type":"reference","isActive":true,"identifier":"doc:\/\/BigDecimal\/documentation\/BigDecimal"},{"type":"text","text":" values can be converted to "},{"type":"codeVoice","code":"String"},{"type":"text","text":" values, "},{"type":"codeVoice","code":"Double"},{"type":"text","text":" values,"},{"type":"text","text":" "},{"type":"codeVoice","code":"Decimal"},{"type":"text","text":" (the Swift Foundation type) values, and "},{"type":"reference","isActive":true,"identifier":"doc:\/\/BigDecimal\/documentation\/BigDecimal\/Decimal32"},{"type":"text","text":", "},{"type":"reference","isActive":true,"identifier":"doc:\/\/BigDecimal\/documentation\/BigDecimal\/Decimal64"},{"type":"text","text":","},{"type":"text","text":" "},{"type":"text","text":"and "},{"type":"reference","isActive":true,"identifier":"doc:\/\/BigDecimal\/documentation\/BigDecimal\/Decimal128"},{"type":"text","text":" values."}]},{"anchor":"To-String","level":4,"type":"heading","text":"To String"},{"type":"codeListing","syntax":"swift","code":["let x1 = BigDecimal(\"2.1\").pow(3)","print(x1.asString()) \/\/ = 9.261"]},{"anchor":"To-Double","level":4,"type":"heading","text":"To Double"},{"type":"codeListing","syntax":"swift","code":["let x2 = BigDecimal(\"2.1\").pow(3)","print(x2.asDouble()) \/\/ = 9.261"]},{"anchor":"To-Decimal-the-Swift-Foundation-type","level":4,"type":"heading","text":"To Decimal (the Swift Foundation type)"},{"type":"codeListing","syntax":"swift","code":["let x3 = BigDecimal(\"1.70\")","let xd: Decimal = x3.asDecimal()","print(xd) \/\/ = 1.70"]},{"anchor":"To-Decimal32--64--128","level":4,"type":"heading","text":"To Decimal32 \/ 64 \/ 128"},{"type":"codeListing","syntax":"swift","code":["let x4 = BigDecimal(\"1.70\")","let x32: UInt32 = x4.asDecimal32(.dpd)","let x64: UInt64 = x4.asDecimal64(.dpd)","let x128: UInt128 = x4.asDecimal128(.dpd)","print(String(x32, radix: 16)) \/\/ = 223000f0","print(String(x64, radix: 16)) \/\/ = 22300000000000f0","print(String(x128, radix: 16)) \/\/ = 220780000000000000000000000000f0"]},{"anchor":"Comparing-BigDecimals","level":3,"type":"heading","text":"Comparing BigDecimal’s"},{"type":"paragraph","inlineContent":[{"type":"text","text":"The six standard operators == != < <= > >= are available to compare values."},{"type":"text","text":" "},{"type":"text","text":"The two operands may either be two "},{"type":"reference","isActive":true,"identifier":"doc:\/\/BigDecimal\/documentation\/BigDecimal"},{"type":"text","text":"’s or a "},{"type":"reference","isActive":true,"identifier":"doc:\/\/BigDecimal\/documentation\/BigDecimal"},{"type":"text","text":" and"},{"type":"text","text":" "},{"type":"text","text":"an integer. If neither of the operands is NaN, the operators perform as expected."},{"type":"text","text":" "},{"type":"text","text":"For example, -"},{"type":"reference","isActive":true,"identifier":"doc:\/\/BigDecimal\/documentation\/BigDecimal\/BigDecimal\/infinity"},{"type":"text","text":" is less than any finite number which in"},{"type":"text","text":" "},{"type":"text","text":"turn is less than +"},{"type":"reference","isActive":true,"identifier":"doc:\/\/BigDecimal\/documentation\/BigDecimal\/BigDecimal\/infinity"},{"type":"text","text":"."}]},{"type":"paragraph","inlineContent":[{"type":"text","text":"Please see the section "},{"type":"emphasis","inlineContent":[{"type":"text","text":"About NaN’s"}]},{"type":"text","text":" for the rules governing comparison involving NaN’s."}]},{"type":"paragraph","inlineContent":[{"type":"text","text":"The static function "},{"type":"codeVoice","code":"BigDecimal.maximum(x:y:)"},{"type":"text","text":" returns the non-NaN number if"},{"type":"text","text":" "},{"type":"text","text":"either x or y is NaN; otherwise it returns the larger of x and y."}]},{"type":"paragraph","inlineContent":[{"type":"text","text":"The static function "},{"type":"codeVoice","code":"BigDecimal.minimum(x:y:)"},{"type":"text","text":" returns the non-NaN number if"},{"type":"text","text":" "},{"type":"text","text":"either x or y is NaN; otherwise it returns the smaller of x and y."}]},{"anchor":"Exact-Arithmetic","level":3,"type":"heading","text":"Exact Arithmetic"},{"type":"paragraph","inlineContent":[{"type":"text","text":"The ‘+’, ‘-’, and ‘*’ operators always produce exact results. The ‘\/’ operator"},{"type":"text","text":" "},{"type":"text","text":"truncates the exact result to an integer."}]},{"type":"codeListing","syntax":"swift","code":["let a = BigDecimal(\"25.1\")","let b = BigDecimal(\"12.0041\")","","print(a + b) \/\/ = 37.1041","print(a - b) \/\/ = 13.0959","print(a * b) \/\/ = 301.30291","print(a \/ b) \/\/ = 2"]},{"type":"paragraph","inlineContent":[{"type":"text","text":"The "},{"type":"emphasis","inlineContent":[{"type":"text","text":"quotientAndRemainder"}]},{"type":"text","text":" function produces an integer quotient and exact remainder"}]},{"type":"codeListing","syntax":"swift","code":["print(a.quotientAndRemainder(b)) \/\/ = (quotient: 2, remainder: 1.0918)"]},{"anchor":"Rounded-Arithmetic","level":3,"type":"heading","text":"Rounded Arithmetic"},{"type":"paragraph","inlineContent":[{"type":"text","text":"Rounding is controlled by Rounding objects that contain a rounding mode and a"},{"type":"text","text":" "},{"type":"text","text":"precision, which is the number of digits in the rounded result."}]},{"type":"paragraph","inlineContent":[{"type":"text","text":"The rounding modes are:"}]},{"type":"unorderedList","items":[{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"awayFromZero - round away from 0"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"down - round towards -infinity"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"up - round towards +infinity"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"towardZero - round towards 0"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"toNearestOrEven - round to nearest, ties to even"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"toNearestOrAwayFromZero - round to nearest, ties away from 0"}]}]}]},{"type":"paragraph","inlineContent":[{"type":"text","text":"The "},{"type":"emphasis","inlineContent":[{"type":"text","text":"add"}]},{"type":"text","text":", "},{"type":"emphasis","inlineContent":[{"type":"text","text":"subtract"}]},{"type":"text","text":" and "},{"type":"emphasis","inlineContent":[{"type":"text","text":"multiply"}]},{"type":"text","text":" methods have a Rounding parameter that"},{"type":"text","text":" "},{"type":"text","text":"controls how the result is rounded."}]},{"anchor":"Examples","level":4,"type":"heading","text":"Examples"},{"type":"codeListing","syntax":"swift","code":["let a = BigDecimal(\"25.1E-2\")","let b = BigDecimal(\"12.0041E-3\")","let rnd = Rounding(.ceiling, 3)","\t","print(a + b) \/\/ = 0.2630041","print(a.add(b, rnd)) \/\/ = 0.264","print(a - b) \/\/ = 0.2389959","print(a.subtract(b, rnd)) \/\/ = 0.239","print(a * b) \/\/ = 0.0030130291","print(a.multiply(b, rnd)) \/\/ = 0.00302"]},{"anchor":"Precise-division","level":3,"type":"heading","text":"Precise division"},{"type":"paragraph","inlineContent":[{"type":"text","text":"The "},{"type":"emphasis","inlineContent":[{"type":"text","text":"divide"}]},{"type":"text","text":" method, that has an optional rounding parameter, performs division."},{"type":"text","text":" "},{"type":"text","text":"If the quotient has finite decimal expansion, the rounding parameter may or may not be present, it is used if it is there."},{"type":"text","text":" "},{"type":"text","text":"If the quotient has infinite decimal expansion, the rounding parameter must be present and is used to round the result."}]},{"anchor":"Examples","level":4,"type":"heading","text":"Examples"},{"type":"codeListing","syntax":"swift","code":["let x1 = BigDecimal(3)","let x2 = BigDecimal(48)","print(x1.divide(x2)) \/\/ = 0.0625","let rnd = Rounding(.ceiling, 2)","print(x1.divide(x2, rnd)) \/\/ = 0.063","\t","let x3 = BigDecimal(3)","let x4 = BigDecimal(49)","print(x3.divide(x4)) \/\/ = NaN because the quotient has infinite decimal expansion 0.06122448...","print(x3.divide(x4, rnd)) \/\/ = 0.062"]},{"anchor":"Data-Encoding","level":2,"type":"heading","text":"Data Encoding"},{"type":"paragraph","inlineContent":[{"type":"text","text":"BigDecimal’s can be encoded as Data objects (perhaps for long term storage) using the "},{"type":"emphasis","inlineContent":[{"type":"text","text":"asData"}]},{"type":"text","text":" method,"},{"type":"text","text":" "},{"type":"text","text":"and they can be regenerated from their Data encoding using the appropriate initializer."},{"type":"text","text":" "},{"type":"text","text":"The encoding rules are:"}]},{"type":"unorderedList","items":[{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"The encoding contains nine or more bytes. The first eight bytes is a"},{"type":"text","text":" "},{"type":"text","text":"Big Endian encoding of the signed exponent."},{"type":"text","text":" "},{"type":"text","text":"The remaining bytes is a Big Endian encoding of the signed significand."}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"NaN’s (and signaling NaNs) are encoded as a single byte = 0"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"positive infinity is encoded as a single byte = 1"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"negative infinity is encoded as a single byte = 2"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"negative zero is encoded as a single byte = 3"}]}]}]},{"type":"paragraph","inlineContent":[{"type":"text","text":"It is also possible to encode BigDecimal’s using the "},{"type":"codeVoice","code":"JSONEncoder"},{"type":"text","text":" or as a"},{"type":"text","text":" "},{"type":"text","text":"property list using the "},{"type":"codeVoice","code":"PropertyListEncoder"},{"type":"text","text":" as in the second example."}]},{"anchor":"Examples","level":3,"type":"heading","text":"Examples"},{"type":"codeListing","syntax":"swift","code":["let x1 = BigDecimal(1000, 3) \/\/ = 1000000","print(Bytes(x1.asData())) \/\/ = [0, 0, 0, 0, 0, 0, 0, 3, 3, 232]","","let x2 = BigDecimal(1000, -3) \/\/ = 1.000","print(Bytes(x2.asData())) \/\/ = [255, 255, 255, 255, 255, 255, 255, 253, 3, 232]","","let x3 = BigDecimal(-1000, 3) \/\/ = -1000000","print(Bytes(x3.asData())) \/\/ = [0, 0, 0, 0, 0, 0, 0, 3, 252, 24]","","let x4 = BigDecimal(-1000, -3) \/\/ = -1.000","print(Bytes(x4.asData())) \/\/ = [255, 255, 255, 255, 255, 255, 255, 253, 252, 24]"]},{"type":"codeListing","syntax":"swift","code":["let encoder = JSONEncoder()","let x1 = BigDecimal(1000, 3) \/\/ = 1000000","if let encoded = try? encoder.encode(x1) {"," \/\/ save `encoded` data somewhere or",""," \/\/ extract the JSON string from the data"," if let json = String(data: encoded, encoding: .utf8) {"," print(json)"," }","}"]},{"anchor":"Decimal-Formats","level":2,"type":"heading","text":"Decimal Formats"},{"type":"paragraph","inlineContent":[{"type":"text","text":"Decimal values can be represented not only as BigDecimal’s but also as Double values,"},{"type":"text","text":" "},{"type":"text","text":"Decimal (the Swift Foundation type) values, and Decimal32 \/ 64 \/ 128 values."},{"type":"text","text":" "},{"type":"text","text":"The strategy for working with other than BigDecimal values can be summarized as follows:"}]},{"type":"unorderedList","items":[{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"convert the input values to BigDecimal’s using the appropriate initializer"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"compute the results"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"convert the results back to the desired output format using the appropriate conversion function"}]}]}]},{"type":"paragraph","inlineContent":[{"type":"text","text":"As an example, suppose you must compute the average value of three values a, b and c which are encoded as Decimal32 values using Densely Packed Decimal (DPD) encoding."},{"type":"text","text":" "},{"type":"text","text":"The result x must likewise be a Decimal32 value encoded using DPD."}]},{"type":"codeListing","syntax":"swift","code":["\/\/ Input values","let a = UInt32(0x223e1117) \/\/ = 7042.17 DPD encoded","let b = UInt32(0x22300901) \/\/ = 22.01 DPD encoded","let c = UInt32(0xa230cc00) \/\/ = -330.00 DPD encoded","\t","\/\/ Convert to BigDecimal's","let A = BigDecimal(a, .dpd)","let B = BigDecimal(b, .dpd)","let C = BigDecimal(c, .dpd)","\t","\/\/ Compute result","let X = (A + B + C).divide(3, Rounding.decimal32)","print(X) \/\/ = 2244.727","\t","\/\/ Convert result back to Decimal32","let x = X.asDecimal32(.dpd)","print(String(x, radix: 16)) \/\/ = 2a2513a7 (= 2244.727 DPD encoded)"]},{"anchor":"About-Infinities","level":2,"type":"heading","text":"About Infinities"},{"type":"paragraph","inlineContent":[{"type":"text","text":"The constants "},{"type":"codeVoice","code":"BigDecimal.infinity"},{"type":"text","text":" and "},{"type":"codeVoice","code":"-BigDecimal.infinity"},{"type":"text","text":" represent"},{"type":"text","text":" "},{"type":"text","text":"+Infinity and -Infinity respectively."},{"type":"text","text":" "},{"type":"codeVoice","code":"-infinity"},{"type":"text","text":" compares less than every finite number,"},{"type":"text","text":" "},{"type":"text","text":"and every finite number compares less than "},{"type":"codeVoice","code":"infinity"},{"type":"text","text":". Arithmetic operations"},{"type":"text","text":" "},{"type":"text","text":"involving infinite values is illustrated by the examples below:"}]},{"type":"codeListing","syntax":"swift","code":["let InfP = BigDecimal.infinity \/\/ Just to save some writing","let InfN = -BigDecimal.infinity","","print(InfP + 3) \/\/ +Infinity","print(InfN + 3) \/\/ -Infinity","print(InfP + InfP) \/\/ +Infinity","print(InfP - InfP) \/\/ NaN","print(InfP * 3) \/\/ +Infinity","print(InfP * InfP) \/\/ +Infinity","print(InfP * InfN) \/\/ -Infinity","print(InfP * 0) \/\/ NaN","print(InfP \/ 3) \/\/ +Infinity","print(InfP \/ 0) \/\/ +Infinity","print(1 \/ InfP) \/\/ 0","print(1 \/ InfN) \/\/ 0","print(InfP \/ InfP) \/\/ NaN","print(InfP < InfP) \/\/ false","print(InfP == InfP) \/\/ true","print(InfP != InfP) \/\/ false","print(InfP > InfP) \/\/ false","print(Rounding.decimal32.round(InfP)) \/\/ +Infinity","print(InfP.scale(4)) \/\/ +Infinity","print(InfP.scale(-4)) \/\/ +Infinity","print(InfP.withExponent(10, .up)) \/\/ NaN"]},{"anchor":"About-NaNs","level":2,"type":"heading","text":"About NaN’s"},{"type":"paragraph","inlineContent":[{"type":"text","text":"The IEEE 754 standard specifies two NaN’s, a quiet NaN (qNaN) and a signaling NaN (sNaN)."},{"type":"text","text":" "},{"type":"text","text":"The constant "},{"type":"emphasis","inlineContent":[{"type":"text","text":"BigDecimal.NaN"}]},{"type":"text","text":" corresponds to the quiet NaN and"},{"type":"text","text":" "},{"type":"codeVoice","code":"BigDecimal.signalingNan"},{"type":"text","text":" to the signaling NaN."}]},{"type":"paragraph","inlineContent":[{"type":"text","text":"Arithmetic operations where one or more input is NaN, return NaN as result."},{"type":"text","text":" "},{"type":"text","text":"Comparing NaN values is illustrated by the example below:"}]},{"type":"codeListing","syntax":"swift","code":["let NaN = BigDecimal.NaN \/\/ Just to save some writing","\t","print(3 < NaN) \/\/ false","print(NaN < 3) \/\/ false","print(NaN < NaN) \/\/ false","print(3 <= NaN) \/\/ false","print(NaN <= 3) \/\/ false","print(NaN <= NaN) \/\/ false","print(3 > NaN) \/\/ false","print(NaN > 3) \/\/ false","print(NaN > NaN) \/\/ false","print(3 >= NaN) \/\/ false","print(NaN >= 3) \/\/ false","print(NaN >= NaN) \/\/ false","print(3 == NaN) \/\/ false","print(NaN == 3) \/\/ false","print(NaN == NaN) \/\/ false","print(3 != NaN) \/\/ true","print(NaN != 3) \/\/ true","print(NaN != NaN) \/\/ true !!!"]},{"type":"paragraph","inlineContent":[{"type":"text","text":"Because NaN != NaN is true, sorting a collection of BigDecimal’s doesn’t"},{"type":"text","text":" "},{"type":"text","text":"work if the collection contains one or more NaN’s. This is so, even if"},{"type":"text","text":" "},{"type":"text","text":"BigDecimal conforms to the Comparable protocol. Note: It is possible to"},{"type":"text","text":" "},{"type":"text","text":"sort values including NaNs using the "},{"type":"codeVoice","code":"isTotallyOrdered(belowOrEqualTo:)"},{"type":"text","text":" "},{"type":"text","text":"method."}]},{"type":"paragraph","inlineContent":[{"type":"text","text":"The following example uses "},{"type":"codeVoice","code":"isTotallyOrdered(belowOrEqualTo:)"},{"type":"text","text":" to sort an"},{"type":"text","text":" "},{"type":"text","text":"array of floating-point values, including some that are NaN:"}]},{"type":"codeListing","syntax":"swift","code":["var numbers = [2.5, 21.25, 3.0, .nan, -9.5]","numbers.sort { !$1.isTotallyOrdered(belowOrEqualTo: $0) }","print(numbers)","\/\/ Prints \"[-9.5, 2.5, 3.0, 21.25, nan]\""]},{"type":"paragraph","inlineContent":[{"type":"text","text":"There is a static boolean variable "},{"type":"emphasis","inlineContent":[{"type":"text","text":"BigDecimal.NaNFlag"}]},{"type":"text","text":" which is set to"},{"type":"text","text":" "},{"type":"emphasis","inlineContent":[{"type":"text","text":"true"}]},{"type":"text","text":" whenever a NaN value is generated. It can be set to "},{"type":"emphasis","inlineContent":[{"type":"text","text":"false"}]},{"type":"text","text":" by"},{"type":"text","text":" "},{"type":"text","text":"application code. Therefore, to check if a sequence of code generates NaN,"},{"type":"text","text":" "},{"type":"text","text":"set NaNFlag to "},{"type":"emphasis","inlineContent":[{"type":"text","text":"false"}]},{"type":"text","text":" before the code and check it after the code. Since"},{"type":"text","text":" "},{"type":"text","text":"a BigDecimal has a stored property "},{"type":"emphasis","inlineContent":[{"type":"text","text":"isNaN"}]},{"type":"text","text":", it is of course also possible to"},{"type":"text","text":" "},{"type":"text","text":"check for a NaN value at any time."}]},{"anchor":"References","level":2,"type":"heading","text":"References"},{"type":"paragraph","inlineContent":[{"type":"text","text":"Algorithms from the following books and papers have been used in the implementation."},{"type":"text","text":" "},{"type":"text","text":"There are references in the source code where appropriate."}]},{"type":"unorderedList","items":[{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"[GRANLUND] - Moller and Granlund: Improved Division by Invariant Integers, 2011"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"[IEEE] - IEEE Standard for Floating-Point Arithmetic, 2019"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"[KNUTH] - Donald E. Knuth: Seminumerical Algorithms, Addison-Wesley 1971"}]}]}]},{"anchor":"Acknowledgement","level":2,"type":"heading","text":"Acknowledgement"},{"type":"orderedList","items":[{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"Much of the original "},{"type":"reference","isActive":true,"identifier":"https:\/\/github.com\/leif-ibsen\/BigDecimal.git"},{"type":"text","text":" (pre-V2) was created by Leif Ibsen."}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"Some unit test cases come from the "},{"type":"reference","isActive":true,"identifier":"http:\/\/speleotrove.com\/decimal"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"Additional unit test cases and some algorithms are from the"},{"type":"text","text":" "},{"type":"reference","isActive":true,"identifier":"https:\/\/www.intel.com\/content\/www\/us\/en\/developer\/articles\/tool\/intel-decimal-floating-point-math-library.html"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"Floating point math functions are translated to Swift from the"},{"type":"text","text":" "},{"type":"reference","isActive":true,"identifier":"https:\/\/github.com\/eobermuhlner\/big-math"},{"type":"text","text":" implementation by Eric Obermühlner."}]}]}]}]}],"schemaVersion":{"major":0,"minor":3,"patch":0},"sections":[],"variants":[{"paths":["\/documentation\/bigdecimal"],"traits":[{"interfaceLanguage":"swift"}]}],"identifier":{"url":"doc:\/\/BigDecimal\/documentation\/BigDecimal","interfaceLanguage":"swift"},"abstract":[{"type":"text","text":"The BigDecimal package provides arbitrary-precision (with an adjustable upper"},{"type":"text","text":" "},{"type":"text","text":"limit for performance) and fixed-precision decimal arithmetic in 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index 942a703..0000000 --- a/Sources/BigDecimal/Docs/BigDecimal.docc/BigDecimal.doccarchive/data/documentation/bigdecimal/decimal32/init(sign:exponentbitpattern:significandbitpattern:).json +++ /dev/null @@ -1 +0,0 @@ -{"primaryContentSections":[{"kind":"declarations","declarations":[{"tokens":[{"kind":"keyword","text":"init"},{"kind":"text","text":"("},{"kind":"externalParam","text":"sign"},{"kind":"text","text":": "},{"kind":"typeIdentifier","identifier":"doc:\/\/BigDecimal\/documentation\/BigDecimal\/Sign","preciseIdentifier":"s:10BigDecimal4Signa","text":"Sign"},{"kind":"text","text":", "},{"kind":"externalParam","text":"exponentBitPattern"},{"kind":"text","text":": "},{"kind":"typeIdentifier","text":"Int","preciseIdentifier":"s:Si"},{"kind":"text","text":", "},{"kind":"externalParam","text":"significandBitPattern"},{"kind":"text","text":": 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a/Sources/BigDecimal/Docs/BigDecimal.docc/BigDecimal.doccarchive/data/documentation/bigdecimal/decimalfloatingpoint/init(signof:magnitudeof:).json b/Sources/BigDecimal/Docs/BigDecimal.docc/BigDecimal.doccarchive/data/documentation/bigdecimal/decimalfloatingpoint/init(signof:magnitudeof:).json deleted file mode 100644 index b421f95..0000000 --- a/Sources/BigDecimal/Docs/BigDecimal.docc/BigDecimal.doccarchive/data/documentation/bigdecimal/decimalfloatingpoint/init(signof:magnitudeof:).json +++ /dev/null @@ -1 +0,0 @@ -{"primaryContentSections":[{"kind":"declarations","declarations":[{"tokens":[{"kind":"keyword","text":"init"},{"kind":"text","text":"("},{"kind":"externalParam","text":"signOf"},{"kind":"text","text":": "},{"kind":"typeIdentifier","text":"Self"},{"kind":"text","text":", "},{"kind":"externalParam","text":"magnitudeOf"},{"kind":"text","text":": 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hr={data(){return{keyboardIsVirtual:!1,activeTags:[],initTagIndex:null,focusedTagIndex:null,metaKey:!1,shiftKey:!1,tabbing:!1,debouncedHandleDeleteTag:null}},constants:{DebounceDelay:dr,VirtualKeyboardThreshold:ur},computed:{virtualKeyboardBind:({keyboardIsVirtual:e})=>({keyboardIsVirtual:e}),allSelectedTagsAreActive:({selectedTags:e,activeTags:t})=>e.every(e=>t.includes(e))},methods:{selectRangeActiveTags(e=this.focusedTagIndex,t=this.selectedTags.length){this.activeTags=this.selectedTags.slice(e,t)},selectTag(e){this.updateSelectedTags([e]),this.clearFilterOnTagSelect&&this.setFilterInput("")},unselectActiveTags(){this.activeTags.length&&(this.deleteTags(this.activeTags),this.resetActiveTags())},async deleteHandler(e){this.activeTags.length>0&&this.setSelectedTags(this.selectedTags.filter(e=>!this.activeTags.includes(e))),this.inputIsSelected()&&this.allSelectedTagsAreActive?(e.preventDefault(),await 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this.focusInput(),"Backspace"===n&&sr(this.$refs.input))}},mounted(){window.visualViewport&&(window.visualViewport.addEventListener("resize",this.updateKeyboardType),this.$once("hook:beforeDestroy",()=>{window.visualViewport.removeEventListener("resize",this.updateKeyboardType)}))}};const pr=1e3;var gr={constants:{ScrollingDebounceDelay:pr},data(){return{isScrolling:!1,scrollRemovedAt:0}},created(){this.deleteScroll=cr(this.deleteScroll,pr)},methods:{deleteScroll(){this.isScrolling=!1,this.scrollRemovedAt=Date.now()},handleScroll(e){const{target:t}=e;if(0!==t.scrollTop)return t.scrollTop=0,void e.preventDefault();const n=150,i=t.offsetWidth,a=i+n;if(t.scrollWidth0?this.focusIndex(this.focusedIndex-1):this.startingPointHook())},focusNext({metaKey:e,ctrlKey:t,shiftKey:n}){(e||t)&&n||(this.externalFocusChange=!1,this.focusedIndex0}},kr=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("li",{staticClass:"tag",attrs:{role:"presentation"}},[n("button",{ref:"button",class:{focus:e.isActiveTag},attrs:{role:"option","aria-selected":e.ariaSelected,"aria-roledescription":"tag"},on:{focus:function(t){return e.$emit("focus",{event:t,tagName:e.name})},click:function(t){return t.preventDefault(),e.$emit("click",{event:t,tagName:e.name})},dblclick:function(t){t.preventDefault(),!e.keyboardIsVirtual&&e.deleteTag()},keydown:[function(t){return t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:e.$emit("keydown",{event:t,tagName:e.name})},function(t){return t.shiftKey?t.ctrlKey||t.altKey||t.metaKey?null:e.$emit("keydown",{event:t,tagName:e.name}):null},function(t){return t.shiftKey&&t.metaKey?t.ctrlKey||t.altKey?null:e.$emit("keydown",{event:t,tagName:e.name}):null},function(t){return t.metaKey?t.ctrlKey||t.shiftKey||t.altKey?null:e.$emit("keydown",{event:t,tagName:e.name}):null},function(t){return t.ctrlKey?t.shiftKey||t.altKey||t.metaKey?null:e.$emit("keydown",{event:t,tagName:e.name}):null},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"delete",[8,46],t.key,["Backspace","Delete","Del"])?null:(t.preventDefault(),e.deleteTag.apply(null,arguments))}],mousedown:function(t){return t.preventDefault(),e.focusButton.apply(null,arguments)},copy:e.handleCopy}},[e.isRemovableTag?e._e():n("span",{staticClass:"visuallyhidden"},[e._v(" Add tag - ")]),e._v(" "+e._s(e.name)+" "),e.isRemovableTag?n("span",{staticClass:"visuallyhidden"},[e._v(" – Tag. Select to remove from list. ")]):e._e()])])},wr=[],Ir={name:"Tag",props:{name:{type:String,required:!0},isFocused:{type:Boolean,default:()=>!1},isRemovableTag:{type:Boolean,default:!1},isActiveTag:{type:Boolean,default:!1},activeTags:{type:Array,required:!1},keyboardIsVirtual:{type:Boolean,default:!1}},watch:{isFocused(e){e&&this.focusButton()}},mounted(){document.addEventListener("copy",this.handleCopy),document.addEventListener("cut",this.handleCut),document.addEventListener("paste",this.handlePaste),this.$once("hook:beforeDestroy",()=>{document.removeEventListener("copy",this.handleCopy),document.removeEventListener("cut",this.handleCut),document.removeEventListener("paste",this.handlePaste)})},methods:{isCurrentlyActiveElement(){return document.activeElement===this.$refs.button},handleCopy(e){if(!this.isCurrentlyActiveElement())return;e.preventDefault();let t=[];t=this.activeTags.length>0?this.activeTags:[this.name],e.clipboardData.setData("text/html",lr({tags:t})),e.clipboardData.setData("text/plain",t.join(" "))},handleCut(e){this.isCurrentlyActiveElement()&&this.isRemovableTag&&(this.handleCopy(e),this.deleteTag(e))},handlePaste(e){this.isCurrentlyActiveElement()&&this.isRemovableTag&&(e.preventDefault(),this.deleteTag(e),this.$emit("paste-content",e))},deleteTag(e){this.$emit("delete-tag",{tagName:this.name,event:e}),this.$emit("prevent-blur")},focusButton(e={}){this.keyboardIsVirtual||this.$refs.button.focus(),0===e.buttons&&this.isFocused&&this.deleteTag(e)}},computed:{ariaSelected:({isActiveTag:e,isRemovableTag:t})=>t?e?"true":"false":null}},Or=Ir,xr=(n("bcfb"),Object(R["a"])(Or,kr,wr,!1,null,"3b809bfa",null)),Dr=xr.exports,Pr={name:"Tags",mixins:[gr,Cr],props:{tags:{type:Array,default:()=>[]},activeTags:{type:Array,default:()=>[]},ariaLabel:{type:String,required:!1},id:{type:String,required:!1},input:{type:String,default:null},areTagsRemovable:{type:Boolean,default:!1},keyboardIsVirtual:{type:Boolean,default:!1}},components:{Tag:Dr},methods:{focusTag(e){this.focusIndex(this.tags.indexOf(e))},startingPointHook(){this.$emit("focus-prev")},handleFocus(e,t){this.focusIndex(t),this.isScrolling=!1,this.$emit("focus",e)},endingPointHook(){this.$emit("focus-next")},resetScroll(){this.$refs["scroll-wrapper"].scrollLeft=0},handleKeydown(e){const{key:t}=e,n=this.tags[this.focusedIndex];rr(t)&&n&&this.$emit("delete-tag",{tagName:n.label||n,event:e})}},computed:{totalItemsToNavigate:({tags:e})=>e.length}},$r=Pr,Ar=(n("8b7a"),Object(R["a"])($r,_r,Sr,!1,null,"4b231516",null)),Lr=Ar.exports;const Nr=5,jr="filter-input",Er="selected-tags",Br="suggested-tags",Rr={autocorrect:"off",autocapitalize:"off",spellcheck:"false",role:"combobox","aria-haspopup":"true","aria-autocomplete":"none","aria-owns":"suggestedTags","aria-controls":"suggestedTags"};var Mr,Kr,zr={name:"FilterInput",mixins:[gr,hr],constants:{FilterInputId:jr,SelectedTagsId:Er,SuggestedTagsId:Br,AXinputProperties:Rr,TagLimit:Nr},components:{TagList:Lr,ClearRoundedIcon:nr,FilterIcon:Tr},props:{positionReversed:{type:Boolean,default:()=>!1},tags:{type:Array,default:()=>[]},selectedTags:{type:Array,default:()=>[]},preventedBlur:{type:Boolean,default:()=>!1},placeholder:{type:String,default:()=>"Filter"},disabled:{type:Boolean,default:()=>!1},value:{type:String,default:()=>""},shouldTruncateTags:{type:Boolean,default:!1},focusInputWhenCreated:{type:Boolean,default:!1},focusInputWhenEmpty:{type:Boolean,default:!1},clearFilterOnTagSelect:{type:Boolean,default:!0}},data(){return{resetedTagsViaDeleteButton:!1,FilterInputId:jr,SelectedTagsId:Er,SuggestedTagsId:Br,AXinputProperties:Rr,showSuggestedTags:!1}},computed:{tagsText:({suggestedTags:e})=>Object(it["g"])({en:{one:"tag",other:"tags"}},e.length),selectedTagsLabel:({tagsText:e})=>"Selected "+e,suggestedTagsLabel:({tagsText:e})=>"Suggested "+e,hasSuggestedTags:({suggestedTags:e})=>e.length,hasSelectedTags:({selectedTags:e})=>e.length,inputIsNotEmpty:({input:e,hasSelectedTags:t})=>e.length||t,searchAriaLabelledBy:({hasSelectedTags:e})=>e?jr.concat(" ",Er):jr,modelValue:{get:({value:e})=>e,set(e){this.$emit("input",e)}},input:({value:e})=>e,suggestedTags:({tags:e,selectedTags:t,shouldTruncateTags:n})=>{const i=e.filter(e=>!t.includes(e));return n?i.slice(0,Nr):i},displaySuggestedTags:({showSuggestedTags:e,suggestedTags:t})=>e&&t.length>0,inputMultipleSelectionListeners:({resetActiveTags:e,handleCopy:t,handleCut:n,handlePaste:i})=>({click:e,copy:t,cut:n,paste:i}),selectedTagsMultipleSelectionListeners:({handleSingleTagClick:e,selectInputAndTags:t,handleDeleteTag:n,selectedTagsKeydownHandler:i,focusTagHandler:a,handlePaste:s})=>({"click-tags":e,"select-all":t,"delete-tag":n,keydown:i,focus:a,"paste-tags":s})},watch:{async selectedTags(){this.resetedTagsViaDeleteButton?this.resetedTagsViaDeleteButton=!1:this.$el.contains(document.activeElement)&&await this.focusInput(),this.displaySuggestedTags&&this.hasSuggestedTags&&this.$refs.suggestedTags.resetScroll()},suggestedTags:{immediate:!0,handler(e){this.$emit("suggested-tags",e)}},showSuggestedTags(e){this.$emit("show-suggested-tags",e)}},methods:{async focusInput(){await this.$nextTick(),this.$refs.input.focus(),!this.input&&this.resetActiveTags&&this.resetActiveTags()},async resetFilters(e=!1){if(this.setFilterInput(""),this.setSelectedTags([]),!e)return this.$emit("update:preventedBlur",!0),this.resetActiveTags&&this.resetActiveTags(),void await this.focusInput();this.resetedTagsViaDeleteButton=!0,this.showSuggestedTags=!1,this.$refs.input.blur()},focusFirstTag(e=(()=>{})){this.showSuggestedTags||(this.showSuggestedTags=!0),this.hasSuggestedTags&&this.$refs.suggestedTags?this.$refs.suggestedTags.focusFirst():e()},setFilterInput(e){this.$emit("input",e)},setSelectedTags(e){this.$emit("update:selectedTags",e)},deleteTags(e){this.setSelectedTags(this.selectedTags.filter(t=>!e.includes(t)))},async handleBlur(e){const t=e.relatedTarget;t&&t.matches&&t.matches("button, input, ul")&&this.$el.contains(t)||(await this.$nextTick(),this.resetActiveTags(),this.preventedBlur?this.$emit("update:preventedBlur",!1):this.showSuggestedTags=!1)},downHandler(e){const t=()=>this.$emit("focus-next",e);this.positionReversed?t():this.focusFirstTag(t)},upHandler(e){const t=()=>this.$emit("focus-prev",e);this.positionReversed?this.focusFirstTag(t):t()},handleFocusPrevOnSelectedTags(){this.positionReversed?this.focusFirstTag(()=>this.$emit("focus-prev")):this.$emit("focus-prev")},handleFocus(){this.showSuggestedTags=!0}},created(){this.focusInputWhenCreated&&document.activeElement!==this.$refs.input&&(this.inputIsNotEmpty||this.focusInputWhenEmpty)&&this.focusInput()}},Fr=zr,qr=(n("228b"),Object(R["a"])(Fr,Gs,Qs,!1,null,"449fced2",null)),Hr=qr.exports,Vr=n("c161"),Wr={name:"QuickNavigationHighlighter",props:{text:{type:String,required:!0},matcherText:{type:String,default:""}},render(e){const{matcherText:t,text:n}=this,i=[];let a=0;return t?([...t].forEach(t=>{const s=n.toLowerCase().indexOf(t.toLowerCase(),a);a&&i.push(e("span",n.slice(a,s)));const r=s+1;i.push(e("span",{class:"match"},n.slice(s,r))),a=r}),e("p",{class:"highlight"},i)):e("span",{class:"highlight"},n)}},Ur=Wr,Gr=(n("ca3d"),Object(R["a"])(Ur,Mr,Kr,!1,null,"1c4190f0",null)),Qr=Gr.exports,Xr=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("SVGIcon",{staticClass:"magnifier-icon",attrs:{viewBox:"0 0 14 14",themeId:"magnifier"}},[n("path",{attrs:{d:"M15.0013 14.0319L10.9437 9.97424C11.8165 8.88933 12.2925 7.53885 12.2929 6.14645C12.2929 2.75841 9.53449 0 6.14645 0C2.75841 0 0 2.75841 0 6.14645C0 9.53449 2.75841 12.2929 6.14645 12.2929C7.57562 12.2929 8.89486 11.7932 9.94425 10.9637L14.0019 15.0213L15.0013 14.0319ZM6.13645 11.0736C4.83315 11.071 3.58399 10.5521 2.66241 9.63048C1.74084 8.70891 1.22194 7.45974 1.2193 6.15644C1.2193 3.44801 3.41802 1.23928 6.13645 1.23928C8.85488 1.23928 11.0536 3.44801 11.0536 6.15644C11.0636 8.86488 8.85488 11.0736 6.13645 11.0736Z"}})])},Yr=[],Jr={name:"MagnifierIcon",components:{SVGIcon:Js["a"]}},Zr=Jr,eo=Object(R["a"])(Zr,Xr,Yr,!1,null,null,null),to=eo.exports,no=n("86d8"),io={name:"QuickNavigationModal",components:{FilterInput:Hr,GenericModal:Vr["a"],MagnifierIcon:to,TopicTypeIcon:ge["a"],QuickNavigationHighlighter:Qr,Reference:no["a"]},mixins:[Cr],data(){return{debouncedInput:"",userInput:""}},props:{children:{type:Array,required:!0},showQuickNavigationModal:{type:Boolean,required:!0}},computed:{childrenMap({children:e}){return Ns(e)},filteredSymbols:({constructFuzzyRegex:e,children:t,fuzzyMatch:n,processedUserInput:i,childrenMap:a,orderSymbolsByPriority:s})=>{const r=t.filter(e=>"groupMarker"!==e.type&&null!=e.title);if(!i)return[];const o=n({inputLength:i.length,symbols:r,processedInputRegex:new RegExp(e(i),"i"),childrenMap:a}),l=[...new Map(o.map(e=>[e.path,e])).values()];return s(l).slice(0,20)},isVisible:{get:({showQuickNavigationModal:e})=>e,set(e){this.$emit("update:showQuickNavigationModal",e)}},noResultsWereFound:({processedUserInput:e,totalItemsToNavigate:t})=>e.length&&!t,processedUserInput:({debouncedInput:e})=>e.replace(/\s/g,""),totalItemsToNavigate:({filteredSymbols:e})=>e.length},watch:{userInput:"debounceInput",focusedIndex:"scrollIntoView"},methods:{closeQuickNavigationModal(){this.$emit("update:showQuickNavigationModal",!1)},constructFuzzyRegex(e){return[...e].reduce((t,n,i)=>t.concat(`[${n}]`).concat(i{const a=n.exec(t.title);if(!a)return!1;const s=a[0].length;return!(s>3*e)&&{uid:t.uid,title:t.title,path:t.path,parents:Rs(t.parent,i),type:t.type,inputLengthDifference:t.title.length-e,matchLength:s,matchLengthDifference:s-e,start:a.index,substring:a[0]}}).filter(Boolean)},handleKeyEnter(){!this.noResultsWereFound&&this.userInput.length&&(this.$router.push(this.filteredSymbols[this.focusedIndex].path),this.closeQuickNavigationModal())},orderSymbolsByPriority(e){return e.sort((e,t)=>e.matchLengthDifference>t.matchLengthDifference?1:e.matchLengthDifferencet.start?1:e.startt.inputLengthDifference?1:e.inputLengthDifference{const n=Math.min(t,vo);return Math.floor(Math.min(n*(e/100),n))},So={medium:30,large:20},Co={medium:50,large:50},ko="sidebar-scroll-lock";var wo={name:"AdjustableSidebarWidth",constants:{SCROLL_LOCK_ID:ko},components:{BreakpointEmitter:uo["a"]},inject:["store"],props:{shownOnMobile:{type:Boolean,default:!1},hiddenOnLarge:{type:Boolean,default:!1},fixedWidth:{type:Number,default:null}},data(){const e=window.innerWidth,t=window.innerHeight,n=ho["b"].large,i=_o(So[n]),a=_o(Co[n]),s=e>=vo?bo:Math.round((i+a)/2),r=co["c"].get(yo,s);return{isDragging:!1,width:this.fixedWidth||Math.min(Math.max(r,i),a),isTouch:!1,windowWidth:e,windowHeight:t,breakpoint:n,noTransition:!1,isTransitioning:!1,isOpeningOnLarge:!1,focusTrapInstance:null,mobileTopOffset:0,topOffset:0}},computed:{minWidthPercent:({breakpoint:e})=>So[e]||0,maxWidthPercent:({breakpoint:e})=>Co[e]||100,maxWidth:({maxWidthPercent:e,windowWidth:t,fixedWidth:n})=>Math.max(n,_o(e,t)),minWidth:({minWidthPercent:e,windowWidth:t,fixedWidth:n})=>Math.min(n||t,_o(e,t)),widthInPx:({width:e})=>e+"px",hiddenOnLargeThreshold:({minWidth:e})=>e/2,events:({isTouch:e})=>e?To.touch:To.mouse,asideStyles:({widthInPx:e,mobileTopOffset:t,topOffset:n,windowHeight:i})=>({width:e,"--top-offset":n?n+"px":null,"--top-offset-mobile":t+"px","--app-height":i+"px"}),asideClasses:({isDragging:e,shownOnMobile:t,noTransition:n,isTransitioning:i,hiddenOnLarge:a,mobileTopOffset:s,isOpeningOnLarge:r})=>({dragging:e,"show-on-mobile":t,"hide-on-large":a,"is-opening-on-large":r,"no-transition":n,"sidebar-transitioning":i,"has-mobile-top-offset":s}),scrollLockID:()=>ko,BreakpointScopes:()=>ho["c"]},async mounted(){window.addEventListener("keydown",this.onEscapeKeydown),window.addEventListener("resize",this.storeWindowSize,{passive:!0}),window.addEventListener("orientationchange",this.storeWindowSize,{passive:!0}),this.storeTopOffset(),0===this.topOffset&&0===window.scrollY||window.addEventListener("scroll",this.storeTopOffset,{passive:!0}),this.$once("hook:beforeDestroy",()=>{window.removeEventListener("keydown",this.onEscapeKeydown),window.removeEventListener("resize",this.storeWindowSize),window.removeEventListener("orientationchange",this.storeWindowSize),window.removeEventListener("scroll",this.storeTopOffset),this.shownOnMobile&&this.toggleScrollLock(!1),this.focusTrapInstance&&this.focusTrapInstance.destroy()}),await this.$nextTick(),this.focusTrapInstance=new go["a"](this.$refs.aside)},watch:{$route:"closeMobileSidebar",width:{immediate:!0,handler:we((function(e){this.emitEventChange(e)}),150)},windowWidth:"getWidthInCheck",async breakpoint(e){this.getWidthInCheck(),e===ho["b"].large&&this.closeMobileSidebar(),this.noTransition=!0,await Object(Ie["b"])(5),this.noTransition=!1},shownOnMobile:"handleExternalOpen",isTransitioning(e){e||this.updateContentWidthInStore()},hiddenOnLarge(){this.isTransitioning=!0}},methods:{getWidthInCheck:cr((function(){this.width>this.maxWidth?this.width=this.maxWidth:this.widththis.maxWidth&&(i=this.maxWidth),this.hiddenOnLarge&&i>=this.hiddenOnLargeThreshold&&(this.$emit("update:hiddenOnLarge",!1),this.isOpeningOnLarge=!0),this.width=Math.max(i,this.minWidth),i<=this.hiddenOnLargeThreshold&&this.$emit("update:hiddenOnLarge",!0)},stopDrag(e){e.preventDefault(),this.isDragging&&(this.isDragging=!1,co["c"].set(yo,this.width),document.removeEventListener(this.events.move,this.handleDrag),document.removeEventListener(this.events.end,this.stopDrag),this.emitEventChange(this.width))},emitEventChange(e){this.$emit("width-change",e),this.updateContentWidthInStore()},getTopOffset(){const e=document.getElementById(mo["e"]);if(!e)return 0;const{y:t}=e.getBoundingClientRect();return Math.max(t,0)},handleExternalOpen(e){e&&(this.mobileTopOffset=this.getTopOffset()),this.toggleScrollLock(e)},async updateContentWidthInStore(){await this.$nextTick(),this.store.setContentWidth(this.$refs.content.offsetWidth)},async toggleScrollLock(e){const t=document.getElementById(this.scrollLockID);e?(await this.$nextTick(),po["a"].lockScroll(t),this.focusTrapInstance.start(),fo["a"].hide(this.$refs.aside)):(po["a"].unlockScroll(t),this.focusTrapInstance.stop(),fo["a"].show(this.$refs.aside))},storeTopOffset:we((function(){this.topOffset=this.getTopOffset()}),60),trackTransitionStart({propertyName:e}){"width"!==e&&"transform"!==e||(this.isTransitioning=!0)},trackTransitionEnd({propertyName:e}){"width"!==e&&"transform"!==e||(this.isTransitioning=!1,this.isOpeningOnLarge=!1)}}},Io=wo,Oo=(n("c3a6"),Object(R["a"])(Io,oo,lo,!1,null,"8b4eac40",null)),xo=Oo.exports,Do=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("nav",{staticClass:"navigator",attrs:{"aria-labelledby":e.INDEX_ROOT_KEY}},[e.isFetching?n("LoadingNavigatorCard",e._b({on:{close:function(t){return e.$emit("close")}}},"LoadingNavigatorCard",e.technologyProps,!1)):n("NavigatorCard",e._b({attrs:{type:e.type,children:e.flatChildren,"active-path":e.activePath,scrollLockID:e.scrollLockID,"error-fetching":e.errorFetching,"render-filter-on-top":e.renderFilterOnTop,"api-changes":e.apiChanges,"allow-hiding":e.allowHiding,"navigator-references":e.navigatorReferences},on:{close:function(t){return e.$emit("close")}}},"NavigatorCard",e.technologyProps,!1)),n("div",{staticClass:"visuallyhidden",attrs:{"aria-live":"polite"}},[e._v(" Navigator is "+e._s(e.isFetching?"loading":"ready")+" ")])],1)},Po=[],$o=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("BaseNavigatorCard",e._b({class:{"filter-on-top":e.renderFilterOnTop},on:{close:function(t){return e.$emit("close")},"head-click-alt":e.toggleAllNodes},scopedSlots:e._u([{key:"body",fn:function(t){var i=t.className;return[e._t("post-head"),n("div",{class:i,on:{"!keydown":[function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"up",38,t.key,["Up","ArrowUp"])?null:t.altKey?(t.preventDefault(),e.focusFirst.apply(null,arguments)):null},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"down",40,t.key,["Down","ArrowDown"])?null:t.altKey?(t.preventDefault(),e.focusLast.apply(null,arguments)):null},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"up",38,t.key,["Up","ArrowUp"])||t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:(t.preventDefault(),e.focusPrev.apply(null,arguments))},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"down",40,t.key,["Down","ArrowDown"])||t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:(t.preventDefault(),e.focusNext.apply(null,arguments))}]}},[n("DynamicScroller",{directives:[{name:"show",rawName:"v-show",value:e.hasNodes,expression:"hasNodes"}],ref:"scroller",staticClass:"scroller",attrs:{id:e.scrollLockID,"aria-label":"Documentation Navigator",items:e.nodesToRender,"min-item-size":e.itemSize,"emit-update":"","key-field":"uid"},on:{update:e.handleScrollerUpdate,"!keydown":[function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"up",38,t.key,["Up","ArrowUp"])?null:t.altKey?(t.preventDefault(),e.focusFirst.apply(null,arguments)):null},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"down",40,t.key,["Down","ArrowDown"])?null:t.altKey?(t.preventDefault(),e.focusLast.apply(null,arguments)):null},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"up",38,t.key,["Up","ArrowUp"])||t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:(t.preventDefault(),e.focusPrev.apply(null,arguments))},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"down",40,t.key,["Down","ArrowDown"])||t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:(t.preventDefault(),e.focusNext.apply(null,arguments))}]},nativeOn:{focusin:function(t){return e.handleFocusIn.apply(null,arguments)},focusout:function(t){return e.handleFocusOut.apply(null,arguments)}},scopedSlots:e._u([{key:"default",fn:function(t){var i=t.item,a=t.active,s=t.index;return[n("DynamicScrollerItem",e._b({},"DynamicScrollerItem",{active:a,item:i,dataIndex:s},!1),[n("NavigatorCardItem",{attrs:{item:i,isRendered:a,"filter-pattern":e.filterPattern,"is-active":i.uid===e.activeUID,"is-bold":e.activePathMap[i.uid],expanded:e.openNodes[i.uid],"api-change":e.apiChangesObject[i.path],isFocused:e.focusedIndex===s,enableFocus:!e.externalFocusChange,"navigator-references":e.navigatorReferences},on:{toggle:e.toggle,"toggle-full":e.toggleFullTree,"toggle-siblings":e.toggleSiblings,navigate:e.handleNavigationChange,"focus-parent":e.focusNodeParent}})],1)]}}],null,!0)}),n("div",{staticClass:"visuallyhidden",attrs:{"aria-live":"polite"}},[e._v(" "+e._s(e.politeAriaLive)+" ")]),n("div",{staticClass:"no-items-wrapper",attrs:{"aria-live":"assertive"}},[n("p",{staticClass:"no-items"},[e._v(" "+e._s(e.assertiveAriaLive)+" ")])])],1),e.errorFetching?e._e():n("div",{staticClass:"filter-wrapper"},[n("div",{staticClass:"navigator-filter"},[n("div",{staticClass:"input-wrapper"},[n("FilterInput",{staticClass:"filter-component",attrs:{tags:e.availableTags,"selected-tags":e.selectedTagsModelValue,placeholder:"Filter","should-keep-open-on-blur":!1,"position-reversed":!e.renderFilterOnTop,"clear-filter-on-tag-select":!1},on:{"update:selectedTags":function(t){e.selectedTagsModelValue=t},"update:selected-tags":function(t){e.selectedTagsModelValue=t},clear:e.clearFilters},model:{value:e.filter,callback:function(t){e.filter=t},expression:"filter"}})],1)])])]}}],null,!0)},"BaseNavigatorCard",{technology:e.technology,isTechnologyBeta:e.isTechnologyBeta,technologyPath:e.technologyPath},!1))},Ao=[],Lo=n("e508");function No(e){const t=Object(it["h"])(Object(it["d"])(e));return new RegExp(t,"ig")}var jo,Eo,Bo=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("BaseNavigatorCardItem",{staticClass:"navigator-card-item",class:{expanded:e.expanded,active:e.isActive,"is-group":e.isGroupMarker},style:{"--nesting-index":e.item.depth},attrs:{"data-nesting-index":e.item.depth,id:"container-"+e.item.uid,"aria-hidden":e.isRendered?null:"true",hideNavigatorIcon:e.isGroupMarker},nativeOn:{keydown:[function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"left",37,t.key,["Left","ArrowLeft"])||"button"in t&&0!==t.button?null:(t.preventDefault(),e.handleLeftKeydown.apply(null,arguments))},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"right",39,t.key,["Right","ArrowRight"])||"button"in t&&2!==t.button||t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:(t.preventDefault(),e.handleRightKeydown.apply(null,arguments))},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"enter",13,t.key,"Enter")?null:(t.preventDefault(),e.clickReference.apply(null,arguments))},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"right",39,t.key,["Right","ArrowRight"])?null:t.altKey?"button"in t&&2!==t.button?null:(t.preventDefault(),e.toggleEntireTree.apply(null,arguments)):null}]},scopedSlots:e._u([{key:"depth-spacer",fn:function(){return[n("span",{attrs:{hidden:"",id:e.usageLabel}},[e._v(" To navigate the symbols, press Up Arrow, Down Arrow, Left Arrow or Right Arrow ")]),e.isParent?n("button",{staticClass:"tree-toggle",attrs:{tabindex:"-1","aria-labelledby":e.item.uid,"aria-expanded":e.expanded?"true":"false","aria-describedby":e.ariaDescribedBy},on:{click:[function(t){return t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:(t.preventDefault(),e.toggleTree.apply(null,arguments))},function(t){return t.altKey?(t.preventDefault(),e.toggleEntireTree.apply(null,arguments)):null},function(t){return t.metaKey?(t.preventDefault(),e.toggleSiblings.apply(null,arguments)):null}]}},[n("InlineChevronRightIcon",{staticClass:"icon-inline chevron",class:{rotate:e.expanded,animating:e.idState.isOpening}})],1):e._e()]},proxy:!0},{key:"navigator-icon",fn:function(t){var i,a=t.className;return[e.apiChange?n("span",{class:[(i={},i["changed changed-"+e.apiChange]=e.apiChange,i),a]}):n("TopicTypeIcon",{key:e.item.uid,class:a,attrs:{type:e.item.type,"image-override":e.item.icon?e.navigatorReferences[e.item.icon]:null,shouldCalculateOptimalWidth:!1}})]}},{key:"title-container",fn:function(){return[e.isParent?n("span",{attrs:{hidden:"",id:e.parentLabel}},[e._v(", containing "+e._s(e.item.childUIDs.length)+" symbols")]):e._e(),n("span",{attrs:{id:e.siblingsLabel,hidden:""}},[e._v(" "+e._s(e.item.index+1)+" of "+e._s(e.item.siblingsCount)+" symbols inside ")]),n(e.refComponent,{ref:"reference",tag:"component",staticClass:"leaf-link",class:{bolded:e.isBold},attrs:{id:e.item.uid,url:e.isGroupMarker?null:e.item.path||"",tabindex:e.isFocused?"0":"-1","aria-describedby":e.ariaDescribedBy+" "+e.usageLabel},nativeOn:{click:[function(t){return t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:e.handleClick.apply(null,arguments)},function(t){return t.altKey?(t.preventDefault(),e.toggleEntireTree.apply(null,arguments)):null}]}},[n("HighlightMatches",{attrs:{text:e.item.title,matcher:e.filterPattern}})],1),e.isDeprecated?n("Badge",{attrs:{variant:"deprecated"}}):e.isBeta?n("Badge",{attrs:{variant:"beta"}}):e._e()]},proxy:!0}])})},Ro=[],Mo=n("34b0"),Ko=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("div",{staticClass:"navigator-card-item"},[n("div",{staticClass:"head-wrapper"},[n("div",{staticClass:"depth-spacer"},[e._t("depth-spacer")],2),e.hideNavigatorIcon?e._e():n("div",{staticClass:"navigator-icon-wrapper"},[e._t("navigator-icon",null,{className:"navigator-icon"})],2),n("div",{staticClass:"title-container"},[e._t("title-container")],2)])])},zo=[],Fo={name:"BaseNavigatorCardItem",props:{hideNavigatorIcon:{type:Boolean,default:()=>!1}}},qo=Fo,Ho=(n("b39c"),Object(R["a"])(qo,Ko,zo,!1,null,"0b9fe514",null)),Vo=Ho.exports,Wo={name:"HighlightMatch",props:{text:{type:String,required:!0},matcher:{type:RegExp,default:void 0}},render(e){const{matcher:t,text:n}=this;if(!t)return e("p",{class:"highlight"},n);const i=[];let a=0,s=null;const r=new RegExp(t,"gi");while(null!==(s=r.exec(n))){const t=s[0].length,r=s.index+t,o=n.slice(a,s.index);o&&i.push(e("span",o));const l=n.slice(s.index,r);l&&i.push(e("span",{class:"match"},l)),a=r}const o=n.slice(a,n.length);return o&&i.push(e("span",o)),e("p",{class:"highlight"},i)}},Uo=Wo,Go=(n("b831"),Object(R["a"])(Uo,jo,Eo,!1,null,"d75876e2",null)),Qo=Go.exports,Xo={name:"NavigatorCardItem",mixins:[Object(Lo["c"])({idProp:e=>e.item.uid})],components:{BaseNavigatorCardItem:Vo,HighlightMatches:Qo,TopicTypeIcon:ge["a"],InlineChevronRightIcon:Mo["a"],Reference:no["a"],Badge:qn["a"]},props:{isRendered:{type:Boolean,default:!1},item:{type:Object,required:!0},expanded:{type:Boolean,default:!1},filterPattern:{type:RegExp,default:void 0},isActive:{type:Boolean,default:!1},isBold:{type:Boolean,default:!1},apiChange:{type:String,default:null,validator:e=>yn["d"].includes(e)},isFocused:{type:Boolean,default:()=>!1},enableFocus:{type:Boolean,default:!0},navigatorReferences:{type:Object,default:()=>({})}},idState(){return{isOpening:!1}},computed:{isGroupMarker:({item:{type:e}})=>e===fe["b"].groupMarker,isParent:({item:e,isGroupMarker:t})=>!!e.childUIDs.length&&!t,parentLabel:({item:e})=>"label-parent-"+e.uid,siblingsLabel:({item:e})=>"label-"+e.uid,usageLabel:({item:e})=>"usage-"+e.uid,ariaDescribedBy({item:e,siblingsLabel:t,parentLabel:n,isParent:i}){const a=`${t} ${e.parent}`;return i?`${a} ${n}`:""+a},isBeta:({item:{beta:e}})=>!!e,isDeprecated:({item:{deprecated:e}})=>!!e,refComponent:({isGroupMarker:e})=>e?"h3":no["a"]},methods:{toggleTree(){this.idState.isOpening=!0,this.$emit("toggle",this.item)},toggleEntireTree(){this.idState.isOpening=!0,this.$emit("toggle-full",this.item)},toggleSiblings(){this.idState.isOpening=!0,this.$emit("toggle-siblings",this.item)},handleLeftKeydown(){this.expanded?this.toggleTree():this.$emit("focus-parent",this.item)},handleRightKeydown(){!this.expanded&&this.isParent&&this.toggleTree()},clickReference(){(this.$refs.reference.$el||this.$refs.reference).click()},focusReference(){(this.$refs.reference.$el||this.$refs.reference).focus()},handleClick(){this.isGroupMarker||this.$emit("navigate",this.item.uid)}},watch:{async isFocused(e){await Object(Ie["b"])(8),e&&this.isRendered&&this.enableFocus&&this.focusReference()},async expanded(){await Object(Ie["b"])(9),this.idState.isOpening=!1}}},Yo=Xo,Jo=(n("bab5"),Object(R["a"])(Yo,Bo,Ro,!1,null,"08a89c9e",null)),Zo=Jo.exports,el=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("div",{staticClass:"navigator-card"},[n("div",{staticClass:"navigator-card-full-height"},[n("div",{staticClass:"navigator-card-inner"},[n("div",{staticClass:"head-wrapper"},[n("div",{staticClass:"head-inner"},[n("button",{staticClass:"close-card",class:{"hide-on-large":!e.allowHiding},attrs:{id:e.SIDEBAR_HIDE_BUTTON_ID,"aria-label":"Close documentation navigator"},on:{click:e.handleHideClick}},[n("SidenavIcon",{staticClass:"icon-inline close-icon"})],1),n("Reference",{staticClass:"navigator-head",attrs:{id:e.INDEX_ROOT_KEY,url:e.technologyPath},nativeOn:{click:function(t){return t.altKey?(t.preventDefault(),e.$emit("head-click-alt")):null}}},[n("h2",{staticClass:"card-link"},[e._v(" "+e._s(e.technology)+" ")]),e.isTechnologyBeta?n("Badge",{attrs:{variant:"beta"}}):e._e()],1)],1)]),e._t("body",null,{className:"card-body"})],2)])])},tl=[],nl=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("SVGIcon",{staticClass:"sidenav-icon",attrs:{viewBox:"0 0 14 14",height:"14",themeId:"sidenav"}},[n("path",{attrs:{d:"M6.533 1.867h-6.533v10.267h14v-10.267zM0.933 11.2v-8.4h4.667v8.4zM13.067 11.2h-6.533v-8.4h6.533z"}}),n("path",{attrs:{d:"M1.867 5.133h2.8v0.933h-2.8z"}}),n("path",{attrs:{d:"M1.867 7.933h2.8v0.933h-2.8z"}})])},il=[],al={name:"SidenavIcon",components:{SVGIcon:Js["a"]}},sl=al,rl=Object(R["a"])(sl,nl,il,!1,null,null,null),ol=rl.exports,ll={name:"BaseNavigatorCard",components:{SidenavIcon:ol,Reference:no["a"],Badge:qn["a"]},props:{allowHiding:{type:Boolean,default:!0},technologyPath:{type:String,default:""},technology:{type:String,required:!0},isTechnologyBeta:{type:Boolean,default:!1}},data(){return{SIDEBAR_HIDE_BUTTON_ID:As,INDEX_ROOT_KEY:Ps}},methods:{async handleHideClick(){this.$emit("close"),await this.$nextTick();const e=document.getElementById(mo["d"]);e&&e.focus()}}},cl=ll,dl=(n("4de6"),Object(R["a"])(cl,el,tl,!1,null,"4a898368",null)),ul=dl.exports;const hl=e=>e[e.length-1],pl=(e,t)=>JSON.stringify(e)===JSON.stringify(t),gl="navigator.state",fl="No results found.",ml="No data available.",yl="There was an error fetching the data.",vl="items were found. 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kl={name:"NavigatorCard",constants:{STORAGE_KEY:gl,FILTER_TAGS:bl,FILTER_TAGS_TO_LABELS:Tl,FILTER_LABELS_TO_TAGS:_l,TOPIC_TYPE_TO_TAG:Sl,NO_RESULTS:fl,NO_CHILDREN:ml,ERROR_FETCHING:yl,ITEMS_FOUND:vl,HIDE_DEPRECATED_TAG:Cl},components:{FilterInput:Hr,NavigatorCardItem:Zo,DynamicScroller:Lo["a"],DynamicScrollerItem:Lo["b"],BaseNavigatorCard:ul},props:{...ul.props,children:{type:Array,required:!0},activePath:{type:Array,required:!0},type:{type:String,required:!0},scrollLockID:{type:String,default:""},errorFetching:{type:Boolean,default:!1},apiChanges:{type:Object,default:null},isTechnologyBeta:{type:Boolean,default:!1},navigatorReferences:{type:Object,default:()=>{}},renderFilterOnTop:{type:Boolean,default:!1}},mixins:[Cr],data(){return{filter:"",debouncedFilter:"",selectedTags:[],openNodes:Object.freeze({}),nodesToRender:Object.freeze([]),activeUID:null,lastFocusTarget:null,NO_RESULTS:fl,NO_CHILDREN:ml,ERROR_FETCHING:yl,ITEMS_FOUND:vl,allNodesToggled:!1}},computed:{politeAriaLive:({hasNodes:e,nodesToRender:t})=>e?[t.length,vl].join(" 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Ns(e)},activePathChildren({activeUID:e,childrenMap:t}){return e&&t[e]?Rs(e,t):[]},activePathMap:({activePathChildren:e})=>Object.fromEntries(e.map(({uid:e})=>[e,!0])),activeIndex:({activeUID:e,nodesToRender:t})=>t.findIndex(t=>t.uid===e),filteredChildren({hasFilter:e,children:t,filterPattern:n,selectedTags:i,apiChanges:a}){if(!e)return[];const s=new Set(i);return t.filter(({title:e,path:t,type:i,deprecated:r,deprecatedChildrenCount:o,childUIDs:l})=>{const c=r||o===l.length,d=!n||n.test(e);let u=!0;s.size&&(u=s.has(Sl[i]),a&&!u&&(u=s.has(a[t])),!c&&s.has(Cl)&&(u=!0));const h=!a||!!a[t];return d&&u&&h})},renderableChildNodesMap({hasFilter:e,childrenMap:t,deprecatedHidden:n,filteredChildren:i,removeDeprecated:a}){if(!e)return t;const s=i.length-1,r=new Set([]);for(let o=s;o>=0;o-=1){const e=i[o],s=t[e.groupMarkerUID];if(s&&r.add(s),r.has(e))continue;if(r.has(t[e.parent])&&e.type!==fe["b"].groupMarker){r.add(e);continue}let l=[];e.childUIDs.length&&(l=a(Es(e.uid,t),n)),l.concat(Rs(e.uid,t)).forEach(e=>r.add(e))}return Ns([...r])},nodeChangeDeps:({filteredChildren:e,activePathChildren:t,debouncedFilter:n,selectedTags:i})=>[e,t,n,i],hasFilter({debouncedFilter:e,selectedTags:t,apiChanges:n}){return Boolean(e.length||t.length||n)},deprecatedHidden:({selectedTags:e})=>e[0]===Cl,apiChangesObject(){return this.apiChanges||{}},hasNodes:({nodesToRender:e})=>!!e.length,totalItemsToNavigate:({nodesToRender:e})=>e.length,lastActivePathItem:({activePath:e})=>hl(e)},created(){this.restorePersistedState()},watch:{filter:"debounceInput",nodeChangeDeps:"trackOpenNodes",activePath:"handleActivePathChange",apiChanges(e){e||(this.selectedTags=this.selectedTags.filter(e=>!yn["b"][e]))}},methods:{toggleAllNodes(){const e=this.children.filter(e=>e.parent===Ps&&e.type!==fe["b"].groupMarker&&e.childUIDs.length);this.allNodesToggled=!this.allNodesToggled,this.allNodesToggled&&(this.openNodes={},this.generateNodesToRender()),e.forEach(e=>{this.toggleFullTree(e)})},clearFilters(){this.filter="",this.debouncedFilter="",this.selectedTags=[]},scrollToFocus(){this.$refs.scroller.scrollToItem(this.focusedIndex)},debounceInput:cr((function(e){this.debouncedFilter=e,this.lastFocusTarget=null}),200),trackOpenNodes([e,t,n,i],[,a=[],s="",r=[]]=[]){if(n!==s&&!s&&this.getFromStorage("filter")||!pl(i,r)&&!r.length&&this.getFromStorage("selectedTags",[]).length)return;const o=!pl(a,t),{childrenMap:l}=this;let c=t;if(!(this.deprecatedHidden&&!this.debouncedFilter.length||o&&this.hasFilter)&&this.hasFilter){const t=new Set,n=e.length-1;for(let i=n;i>=0;i-=1){const n=e[i];t.has(l[n.parent])||t.has(n)||Rs(n.uid,l).slice(0,-1).forEach(e=>t.add(e))}c=[...t]}const d=o?{...this.openNodes}:{},u=c.reduce((e,t)=>(e[t.uid]=!0,e),d);this.openNodes=Object.freeze(u),this.generateNodesToRender(),this.updateFocusIndexExternally()},toggle(e){const t=this.openNodes[e.uid];let n=[],i=[];if(t){const t=Object(w["a"])(this.openNodes),n=Es(e.uid,this.childrenMap);n.forEach(({uid:e})=>{delete t[e]}),this.openNodes=Object.freeze(t),i=n.slice(1)}else this.openNodes=Object.freeze({...this.openNodes,[e.uid]:!0}),n=Bs(e.uid,this.childrenMap,this.children).filter(e=>this.renderableChildNodesMap[e.uid]);this.augmentRenderNodes({uid:e.uid,include:n,exclude:i})},toggleFullTree(e){const t=this.openNodes[e.uid],n=Object(w["a"])(this.openNodes),i=Es(e.uid,this.childrenMap);let a=[],s=[];i.forEach(({uid:e})=>{t?delete n[e]:n[e]=!0}),t?a=i.slice(1):s=i.slice(1).filter(e=>this.renderableChildNodesMap[e.uid]),this.openNodes=Object.freeze(n),this.augmentRenderNodes({uid:e.uid,exclude:a,include:s})},toggleSiblings(e){const t=this.openNodes[e.uid],n=Object(w["a"])(this.openNodes),i=Ms(e.uid,this.childrenMap,this.children);i.forEach(({uid:e,childUIDs:i,type:a})=>{if(i.length&&a!==fe["b"].groupMarker)if(t){const t=Es(e,this.childrenMap);t.forEach(e=>{delete n[e.uid]}),delete n[e],this.augmentRenderNodes({uid:e,exclude:t.slice(1),include:[]})}else{n[e]=!0;const t=Bs(e,this.childrenMap,this.children).filter(e=>this.renderableChildNodesMap[e.uid]);this.augmentRenderNodes({uid:e,exclude:[],include:t})}}),this.openNodes=Object.freeze(n),this.persistState()},removeDeprecated(e,t){return t?e.filter(({deprecated:e})=>!e):e},generateNodesToRender(){const{children:e,openNodes:t,renderableChildNodesMap:n}=this;this.nodesToRender=Object.freeze(e.filter(e=>n[e.uid]&&(e.parent===Ps||t[e.parent]))),this.persistState(),this.scrollToElement()},augmentRenderNodes({uid:e,include:t=[],exclude:n=[]}){const i=this.nodesToRender.findIndex(t=>t.uid===e);if(t.length){const e=t.filter(e=>!this.nodesToRender.includes(e)),n=this.nodesToRender.slice(0);n.splice(i+1,0,...e),this.nodesToRender=Object.freeze(n)}else if(n.length){const e=new Set(n);this.nodesToRender=Object.freeze(this.nodesToRender.filter(t=>!e.has(t)))}this.persistState()},getFromStorage(e,t=null){const n=co["b"].get(gl,{}),i=n[this.technologyPath];return i?e?i[e]||t:i:t},persistState(){const e={path:this.lastActivePathItem},{path:t}=this.activeUID&&this.childrenMap[this.activeUID]||e,n={technology:this.technology,path:t,hasApiChanges:!!this.apiChanges,openNodes:Object.keys(this.openNodes).map(Number),nodesToRender:this.nodesToRender.map(({uid:e})=>e),activeUID:this.activeUID,filter:this.filter,selectedTags:this.selectedTags},i={...co["b"].get(gl,{}),[this.technologyPath]:n};co["b"].set(gl,i)},clearPersistedState(){const e={...co["b"].get(gl,{}),[this.technologyPath]:{}};co["b"].set(gl,e)},restorePersistedState(){const e=this.getFromStorage();if(!e||e.path!==this.lastActivePathItem)return this.clearPersistedState(),void this.handleActivePathChange(this.activePath);const{technology:t,nodesToRender:n=[],filter:i="",hasAPIChanges:a=!1,activeUID:s=null,selectedTags:r=[],openNodes:o}=e;if(!n.length&&!i&&!r.length)return this.clearPersistedState(),void this.handleActivePathChange(this.activePath);const{childrenMap:l}=this,c=n.every(e=>l[e]),d=s?(this.childrenMap[s]||{}).path===this.lastActivePathItem:1===this.activePath.length;if(t!==this.technology||!c||a!==Boolean(this.apiChanges)||!d||s&&!i&&!r.length&&!n.includes(s))return this.clearPersistedState(),void this.handleActivePathChange(this.activePath);this.openNodes=Object.freeze(Object.fromEntries(o.map(e=>[e,!0]))),this.nodesToRender=Object.freeze(n.map(e=>l[e])),this.selectedTags=r,this.filter=i,this.debouncedFilter=this.filter,this.activeUID=s,this.scrollToElement()},async scrollToElement(){if(await Object(Ie["b"])(1),!this.$refs.scroller)return;if(this.hasFilter&&!this.deprecatedHidden)return void this.$refs.scroller.scrollToItem(0);const e=document.getElementById(this.activeUID);if(e&&0===this.getChildPositionInScroller(e))return;const t=this.nodesToRender.findIndex(e=>e.uid===this.activeUID);-1!==t&&this.$refs.scroller.scrollToItem(t)},getChildPositionInScroller(e){if(!e)return 0;const{paddingTop:t,paddingBottom:n}=getComputedStyle(this.$refs.scroller.$el),i={top:parseInt(t,10)||0,bottom:parseInt(n,10)||0},{y:a,height:s}=this.$refs.scroller.$el.getBoundingClientRect(),{y:r}=e.getBoundingClientRect(),o=e.offsetParent.offsetHeight,l=r-a-i.top;return l<0?-1:l+o>=s-i.bottom?1:0},isInsideScroller(e){return this.$refs.scroller.$el.contains(e)},handleFocusIn({target:e}){this.lastFocusTarget=e;const t=this.getChildPositionInScroller(e);if(0===t)return;const{offsetHeight:n}=e.offsetParent;this.$refs.scroller.$el.scrollBy({top:n*t,left:0})},handleFocusOut(e){e.relatedTarget&&(this.isInsideScroller(e.relatedTarget)||(this.lastFocusTarget=null))},handleScrollerUpdate:cr((async function(){await Object(Ie["a"])(300),this.lastFocusTarget&&this.isInsideScroller(this.lastFocusTarget)&&document.activeElement!==this.lastFocusTarget&&this.lastFocusTarget.focus({preventScroll:!0})}),50),setActiveUID(e){this.activeUID=e},handleNavigationChange(e){this.childrenMap[e].path.startsWith(this.technologyPath)&&this.setActiveUID(e)},pathsToFlatChildren(e){const t=e.slice(0).reverse(),{childrenMap:n}=this;let i=this.children;const a=[];while(t.length){const e=t.pop(),s=i.find(t=>t.path===e);if(!s)break;a.push(s),t.length&&(i=s.childUIDs.map(e=>n[e]))}return a},handleActivePathChange(e){const t=this.childrenMap[this.activeUID],n=hl(e);if(t){if(n===t.path)return;const e=Ms(this.activeUID,this.childrenMap,this.children),i=Bs(this.activeUID,this.childrenMap,this.children),a=Rs(this.activeUID,this.childrenMap),s=[...i,...e,...a].find(e=>e.path===n);if(s)return void this.setActiveUID(s.uid)}const i=this.pathsToFlatChildren(e);i.length?this.setActiveUID(i[i.length-1].uid):this.activeUID?this.setActiveUID(null):this.trackOpenNodes(this.nodeChangeDeps)},updateFocusIndexExternally(){this.externalFocusChange=!0,this.activeIndex>0?this.focusIndex(this.activeIndex):this.focusIndex(0)},focusNodeParent(e){const t=this.childrenMap[e.parent];if(!t)return;const n=this.nodesToRender.findIndex(e=>e.uid===t.uid);-1!==n&&this.focusIndex(n)}}},wl=kl,Il=(n("87ff"),Object(R["a"])(wl,$o,Ao,!1,null,"a440d59c",null)),Ol=Il.exports,xl=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("BaseNavigatorCard",e._b({on:{close:function(t){return e.$emit("close")}},scopedSlots:e._u([{key:"body",fn:function(t){var i=t.className;return[n("transition",{attrs:{name:"delay-visibility"}},[n("div",{staticClass:"loading-navigator",class:i,attrs:{"aria-hidden":"true"}},e._l(e.LOADER_ROWS,(function(e,t){return n("LoadingNavigatorItem",{key:t,attrs:{index:t,width:e.width,hideNavigatorIcon:e.hideNavigatorIcon}})})),1)])]}}])},"BaseNavigatorCard",e.$props,!1))},Dl=[],Pl=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("BaseNavigatorCardItem",{staticClass:"loading-navigator-item",style:"--index: "+e.index+";",attrs:{hideNavigatorIcon:e.hideNavigatorIcon},scopedSlots:e._u([{key:"navigator-icon",fn:function(e){var t=e.className;return[n("div",{class:t})]}},{key:"title-container",fn:function(){return[n("div",{staticClass:"loader",style:{width:e.width}})]},proxy:!0}])})},$l=[],Al={name:"LoadingNavigatorItem",components:{BaseNavigatorCardItem:Vo},props:{...Vo.props,index:{type:Number,default:0},width:{type:String,default:"50%"}}},Ll=Al,Nl=(n("d1b4"),Object(R["a"])(Ll,Pl,$l,!1,null,"0de29914",null)),jl=Nl.exports;const El=[{width:"30%",hideNavigatorIcon:!0},{width:"80%"},{width:"50%"}];var Bl={name:"LoadingNavigatorCard",components:{BaseNavigatorCard:ul,LoadingNavigatorItem:jl},props:{...ul.props},data(){return{LOADER_ROWS:El}}},Rl=Bl,Ml=(n("115d"),Object(R["a"])(Rl,xl,Dl,!1,null,"4b6d345f",null)),Kl=Ml.exports,zl={name:"Navigator",components:{NavigatorCard:Ol,LoadingNavigatorCard:Kl},data(){return{INDEX_ROOT_KEY:Ps}},props:{flatChildren:{type:Array,required:!0},parentTopicIdentifiers:{type:Array,required:!0},technology:{type:Object,required:!0},isFetching:{type:Boolean,default:!1},references:{type:Object,default:()=>{}},navigatorReferences:{type:Object,default:()=>{}},scrollLockID:{type:String,default:""},errorFetching:{type:Boolean,default:!1},renderFilterOnTop:{type:Boolean,default:!1},apiChanges:{type:Object,default:null},allowHiding:{type:Boolean,default:!0}},computed:{parentTopicReferences({references:e,parentTopicIdentifiers:t}){return t.reduce((t,n)=>{const i=e[n];return i?t.concat(i):(console.error(`Reference for "${n}" is missing`),t)},[])},activePath({parentTopicReferences:e,$route:{path:t}}){if(t=t.replace(/\/$/,"").toLowerCase(),!e.length)return[t];let n=1;return"technologies"===e[0].kind&&(n=2),e.slice(n).map(e=>e.url).concat(t)},type:()=>fe["b"].module,technologyProps:({technology:e})=>({technology:e.title,technologyPath:e.path||e.url,isTechnologyBeta:e.beta})}},Fl=zl,ql=(n("0ff0"),Object(R["a"])(Fl,Do,Po,!1,null,"048fdefe",null)),Hl=ql.exports,Vl=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("NavBase",{staticClass:"documentation-nav",attrs:{breakpoint:e.BreakpointName.medium,hasOverlay:!1,hasSolidBackground:"",hasNoBorder:e.hasNoBorder,isDark:e.isDark,isWideFormat:"",hasFullWidthBorder:"","aria-label":"API Reference"},scopedSlots:e._u([e.displaySidenav?{key:"pre-title",fn:function(t){var i=t.closeNav,a=t.isOpen,s=t.currentBreakpoint,r=t.className;return[n("div",{class:r},[n("transition",{attrs:{name:"sidenav-toggle"}},[n("div",{directives:[{name:"show",rawName:"v-show",value:e.sidenavHiddenOnLarge,expression:"sidenavHiddenOnLarge"}],staticClass:"sidenav-toggle-wrapper"},[n("button",{staticClass:"sidenav-toggle",attrs:{"aria-label":"Open documentation navigator",id:e.baseNavOpenSidenavButtonId,tabindex:a?-1:null},on:{click:function(t){return t.preventDefault(),e.handleSidenavToggle(i,s)}}},[n("span",{staticClass:"sidenav-icon-wrapper"},[n("SidenavIcon",{staticClass:"icon-inline sidenav-icon"})],1)]),n("span",{staticClass:"sidenav-toggle__separator"})])])],1)]}}:null,{key:"tray",fn:function(t){var i=t.closeNav;return[n("Hierarchy",{attrs:{currentTopicTitle:e.title,isSymbolDeprecated:e.isSymbolDeprecated,isSymbolBeta:e.isSymbolBeta,parentTopicIdentifiers:e.hierarchyItems,currentTopicTags:e.currentTopicTags,references:e.references}}),n("NavMenuItems",{staticClass:"nav-menu-settings",attrs:{previousSiblingChildren:e.breadcrumbCount}},[e.interfaceLanguage&&(e.swiftPath||e.objcPath)?n("LanguageToggle",{attrs:{interfaceLanguage:e.interfaceLanguage,objcPath:e.objcPath,swiftPath:e.swiftPath,closeNav:i}}):e._e(),e._t("menu-items")],2),e._t("tray-after",null,null,{breadcrumbCount:e.breadcrumbCount})]}}],null,!0)},[n("template",{slot:"default"},[e._t("title",(function(){return[e.rootLink?n("router-link",{staticClass:"nav-title-link",attrs:{to:e.rootLink}},[e._v(" Documentation ")]):n("span",{staticClass:"nav-title-link 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")])})),n("HierarchyItem",[e._v(" "+e._s(e.currentTopicTitle)+" "),n("template",{slot:"tags"},[e.isSymbolDeprecated?n("Badge",{attrs:{variant:"deprecated"}}):e.isSymbolBeta?n("Badge",{attrs:{variant:"beta"}}):e._e(),e._l(e.currentTopicTags,(function(t){return n("Badge",{key:t.type+"-"+t.text,attrs:{variant:t.type}},[e._v(" "+e._s(t.text)+" ")])}))],2)],2)],2)},Xl=[],Yl=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("li",{staticClass:"hierarchy-collapsed-items"},[n("span",{staticClass:"hierarchy-item-icon icon-inline"},[e._v("/")]),n("button",{ref:"btn",staticClass:"toggle",class:{focused:!e.collapsed},on:{click:e.toggleCollapsed}},[n("span",{staticClass:"indicator"},[n("EllipsisIcon",{staticClass:"icon-inline toggle-icon"})],1)]),n("ul",{ref:"dropdown",staticClass:"dropdown",class:{collapsed:e.collapsed}},e._l(e.topicsWithUrls,(function(t){return n("li",{key:t.title,staticClass:"dropdown-item"},[n("router-link",{staticClass:"nav-menu-link",attrs:{to:t.url}},[e._v(e._s(t.title))])],1)})),0)])},Jl=[],Zl=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("SVGIcon",{staticClass:"ellipsis-icon",attrs:{viewBox:"0 0 14 14",themeId:"ellipsis"}},[n("path",{attrs:{d:"m12.439 7.777v-1.554h-1.554v1.554zm-4.662 0v-1.554h-1.554v1.554zm-4.662 0v-1.554h-1.554v1.554z"}})])},ec=[],tc={name:"EllipsisIcon",components:{SVGIcon:Js["a"]}},nc=tc,ic=Object(R["a"])(nc,Zl,ec,!1,null,null,null),ac=ic.exports,sc={name:"HierarchyCollapsedItems",components:{EllipsisIcon:ac},data:()=>({collapsed:!0}),props:{topics:{type:Array,required:!0}},watch:{collapsed(e,t){t&&!e?document.addEventListener("click",this.handleDocumentClick,!1):!t&&e&&document.removeEventListener("click",this.handleDocumentClick,!1)}},beforeDestroy(){document.removeEventListener("click",this.handleDocumentClick,!1)},computed:{topicsWithUrls:({$route:e,topics:t})=>t.map(t=>({...t,url:Object(q["b"])(t.url,e.query)}))},methods:{handleDocumentClick(e){const{target:t}=e,{collapsed:n,$refs:{btn:i,dropdown:a}}=this,s=!i.contains(t)&&!a.contains(t);!n&&s&&(this.collapsed=!0)},toggleCollapsed(){this.collapsed=!this.collapsed}}},rc=sc,oc=(n("2ca2"),Object(R["a"])(rc,Yl,Jl,!1,null,"74906830",null)),lc=oc.exports,cc=function(e,t){var n=t._c;return n(t.$options.components.NavMenuItemBase,{tag:"component",staticClass:"hierarchy-item",class:[{collapsed:t.props.isCollapsed},t.data.staticClass]},[n("span",{staticClass:"hierarchy-item-icon icon-inline"},[t._v("/")]),t.props.url?n("router-link",{staticClass:"parent item nav-menu-link",attrs:{to:t.props.url}},[t._t("default")],2):[n("span",{staticClass:"current item"},[t._t("default")],2),t._t("tags")]],2)},dc=[],uc=n("863d"),hc={name:"HierarchyItem",components:{NavMenuItemBase:uc["a"],InlineChevronRightIcon:Mo["a"]},props:{isCollapsed:Boolean,url:{type:String,required:!1}}},pc=hc,gc=(n("260a"),Object(R["a"])(pc,cc,dc,!0,null,"382bf39e",null)),fc=gc.exports;const mc=3;var yc={name:"Hierarchy",components:{Badge:qn["a"],NavMenuItems:Gl["a"],HierarchyCollapsedItems:lc,HierarchyItem:fc},constants:{MaxVisibleLinks:mc},inject:["store"],props:{isSymbolDeprecated:Boolean,isSymbolBeta:Boolean,references:Object,currentTopicTitle:{type:String,required:!0},parentTopicIdentifiers:{type:Array,default:()=>[]},currentTopicTags:{type:Array,default:()=>[]}},computed:{windowWidth:({store:e})=>e.state.contentWidth,parentTopics(){return this.parentTopicIdentifiers.reduce((e,t)=>{const n=this.references[t];if(n){const{title:t,url:i}=n;return e.concat({title:t,url:i})}return console.error(`Reference for "${t}" is missing`),e},[])},root:({parentTopics:e,windowWidth:t})=>t<=1e3?null:e[0],firstItemSlice:({root:e})=>e?1:0,linksAfterCollapse:({windowWidth:e,hasBadge:t})=>{const n=t?1:0;return e>1200?mc-n:e>1e3?mc-1-n:e>=800?mc-2-n:0},collapsibleItems:({parentTopics:e,linksAfterCollapse:t,firstItemSlice:n})=>t?e.slice(n,-t):e.slice(n),nonCollapsibleItems:({parentTopics:e,linksAfterCollapse:t,firstItemSlice:n})=>t?e.slice(n).slice(-t):[],hasBadge:({isSymbolDeprecated:e,isSymbolBeta:t,currentTopicTags:n})=>e||t||n.length},methods:{addQueryParamsToUrl(e){return Object(q["b"])(e,this.$route.query)}}},vc=yc,bc=(n("a780"),Object(R["a"])(vc,Ql,Xl,!1,null,"42bf934a",null)),Tc=bc.exports,_c=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("NavMenuItemBase",{staticClass:"nav-menu-setting language-container"},[n("div",{class:{"language-toggle-container":e.hasLanguages}},[n("select",{ref:"language-sizer",staticClass:"language-dropdown 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current-language",attrs:{"aria-current":"page"}},[e._v(e._s(e.currentLanguage.name))]),e.hasLanguages?n("InlineChevronDownIcon",{staticClass:"toggle-icon icon-inline"}):e._e()],1),e.hasLanguages?n("div",{staticClass:"language-list-container"},[n("span",{staticClass:"nav-menu-setting-label"},[e._v("Language:")]),n("ul",{staticClass:"language-list"},e._l(e.languages,(function(t){return n("li",{key:t.api,staticClass:"language-list-item"},[t.api===e.languageModel?n("span",{staticClass:"current-language",attrs:{"data-language":t.api,"aria-current":"page"}},[e._v(" "+e._s(t.name)+" ")]):n("a",{staticClass:"nav-menu-link",attrs:{href:"#"},on:{click:function(n){return n.preventDefault(),e.pushRoute(t.route)}}},[e._v(" "+e._s(t.name)+" ")])])})),0)]):e._e()])},Sc=[],Cc=n("7948"),kc={name:"LanguageToggle",components:{InlineChevronDownIcon:Cc["a"],NavMenuItemBase:uc["a"]},inject:{store:{default(){return{setPreferredLanguage(){}}}}},props:{interfaceLanguage:{type:String,required:!0},objcPath:{type:String,required:!1},swiftPath:{type:String,required:!1},closeNav:{type:Function,default:()=>{}}},data(){return{languageModel:null,adjustedWidth:0}},mounted(){const e=we(async()=>{await Object(Ie["b"])(3),this.calculateSelectWidth()},150);window.addEventListener("resize",e),window.addEventListener("orientationchange",e),this.$once("hook:beforeDestroy",()=>{window.removeEventListener("resize",e),window.removeEventListener("orientationchange",e)})},watch:{interfaceLanguage:{immediate:!0,handler(e){this.languageModel=e}},currentLanguage:{immediate:!0,handler:"calculateSelectWidth"}},methods:{getRoute(e){const t=e.query===D["a"].swift.key.url?void 0:e.query;return{query:{...this.$route.query,language:t},path:this.isCurrentPath(e.path)?null:this.normalizePath(e.path)}},async pushRoute(e){await this.closeNav(),this.store.setPreferredLanguage(e.query),this.$router.push(this.getRoute(e))},isCurrentPath(e){return this.$route.path.replace(/^\//,"")===e},normalizePath(e){return e.startsWith("/")?e:"/"+e},async calculateSelectWidth(){await this.$nextTick(),this.adjustedWidth=this.$refs["language-sizer"].clientWidth+6}},computed:{languages(){return[{name:D["a"].swift.name,api:D["a"].swift.key.api,route:{path:this.swiftPath,query:D["a"].swift.key.url}},{name:D["a"].objectiveC.name,api:D["a"].objectiveC.key.api,route:{path:this.objcPath,query:D["a"].objectiveC.key.url}}]},currentLanguage:({languages:e,languageModel:t})=>e.find(e=>e.api===t),hasLanguages:({objcPath:e,swiftPath:t})=>t&&e}},wc=kc,Ic=(n("34e5"),Object(R["a"])(wc,_c,Sc,!1,null,"005af823",null)),Oc=Ic.exports,xc={name:"DocumentationNav",components:{SidenavIcon:ol,NavBase:Ul["a"],NavMenuItems:Gl["a"],Hierarchy:Tc,LanguageToggle:Oc},props:{title:{type:String,required:!1},parentTopicIdentifiers:{type:Array,required:!1},isSymbolBeta:{type:Boolean,required:!1},isSymbolDeprecated:{type:Boolean,required:!1},isDark:{type:Boolean,default:!1},hasNoBorder:{type:Boolean,default:!1},currentTopicTags:{type:Array,required:!0},references:{type:Object,default:()=>({})},interfaceLanguage:{type:String,required:!1},objcPath:{type:String,required:!1},swiftPath:{type:String,required:!1},sidenavHiddenOnLarge:{type:Boolean,default:!1},displaySidenav:{type:Boolean,default:!1}},computed:{baseNavOpenSidenavButtonId:()=>mo["d"],BreakpointName:()=>ho["b"],breadcrumbCount:({hierarchyItems:e})=>e.length+1,rootHierarchyReference:({parentTopicIdentifiers:e,references:t})=>t[e[0]]||{},isRootTechnologyLink:({rootHierarchyReference:{kind:e}})=>"technologies"===e,rootLink:({isRootTechnologyLink:e,rootHierarchyReference:t,$route:n})=>e?{path:t.url,query:n.query}:null,hierarchyItems:({parentTopicIdentifiers:e,isRootTechnologyLink:t})=>t?e.slice(1):e},methods:{async handleSidenavToggle(e,t){await e(),this.$emit("toggle-sidenav",t),await this.$nextTick();const n=document.getElementById(As);n&&n.focus()}}},Dc=xc,Pc=(n("69ba"),Object(R["a"])(Dc,Vl,Wl,!1,null,"136c3ca6",null)),$c=Pc.exports,Ac=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("div",{staticClass:"StaticContentWidth"},[e._t("default")],2)},Lc=[],Nc={name:"StaticContentWidth",inject:["store"],mounted(){const e=we(async()=>{await this.$nextTick(),this.store.setContentWidth(this.$el.offsetWidth)},150);window.addEventListener("resize",e),window.addEventListener("orientationchange",e),this.$once("hook:beforeDestroy",()=>{window.removeEventListener("resize",e),window.removeEventListener("orientationchange",e)}),e()}},jc=Nc,Ec=Object(R["a"])(jc,Ac,Lc,!1,null,null,null),Bc=Ec.exports,Rc=n("3bdd"),Mc=n("4009"),Kc={watch:{topicData:{immediate:!0,handler:"extractOnThisPageSections"}},methods:{shouldRegisterContentSection(e){return e.type===St["BlockType"].heading&&e.level<4},extractOnThisPageSections(e){if(!e)return;this.store.resetPageSections();const{metadata:{title:t},primaryContentSections:n,topicSections:i,defaultImplementationsSections:a,relationshipsSections:s,seeAlsoSections:r}=e;this.store.addOnThisPageSection({title:t,anchor:Mc["a"],level:1}),n&&n.forEach(e=>{switch(e.kind){case Fe.content:Ne["a"].methods.forEach.call(e,e=>{this.shouldRegisterContentSection(e)&&this.store.addOnThisPageSection({title:e.text,anchor:e.anchor||Object(it["a"])(e.text),level:e.level})});break;case Fe.properties:case Fe.restBody:case Fe.restCookies:case Fe.restEndpoint:case Fe.restHeaders:case Fe.restParameters:case 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Ie={article:"article",tutorial:"project"},xe={article:"article",tutorial:"tutorial"},Ne={[Ie.article]:"Article",[Ie.tutorial]:"Tutorial"};var Oe={name:"ChapterTopicList",components:{TimerIcon:_t},constants:{TopicKind:Ie,TopicKindClass:xe,TopicKindIconLabel:Ne},props:{topics:{type:Array,required:!0}},methods:{buildUrl:et["b"],iconComponent:({kind:t})=>({[Ie.article]:Ve["a"],[Ie.tutorial]:ke["a"]}[t]),kindClassFor:({kind:t})=>({[Ie.article]:xe.article,[Ie.tutorial]:xe.tutorial}[t]),formatTime:t=>t.replace("min"," minutes").replace("hrs"," hours"),ariaLabelFor({title:t,estimatedTime:e,kind:n}){const i=[t,Ne[n]];return e&&i.push(this.formatTime(e)+" Estimated Time"),i.join(" - 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strict";n("8f86")},f1e6:function(t,e,n){"use strict";n("a0d4")},f68c:function(t,e,n){"use strict";n("2c95")}}]); \ No newline at end of file diff --git a/Sources/BigDecimal/Docs/BigDecimal.docc/BigDecimal.doccarchive/metadata.json b/Sources/BigDecimal/Docs/BigDecimal.docc/BigDecimal.doccarchive/metadata.json deleted file mode 100644 index 5cbfcd2..0000000 --- a/Sources/BigDecimal/Docs/BigDecimal.docc/BigDecimal.doccarchive/metadata.json +++ /dev/null @@ -1 +0,0 @@ -{"bundleDisplayName":"BigDecimal","bundleIdentifier":"BigDecimal","schemaVersion":{"major":0,"minor":1,"patch":0}} \ No newline at end of file diff --git a/Sources/BigDecimal/DecimalFloatingPoint.swift b/Sources/BigDecimal/Support/DecimalFloatingPoint.swift similarity index 97% rename from Sources/BigDecimal/DecimalFloatingPoint.swift rename to Sources/BigDecimal/Support/DecimalFloatingPoint.swift index 5d27d79..7612fe0 100644 --- a/Sources/BigDecimal/DecimalFloatingPoint.swift +++ b/Sources/BigDecimal/Support/DecimalFloatingPoint.swift @@ -59,8 +59,8 @@ protocol DecimalType : Codable, Hashable, Sendable { /// - sign: Sets the sign bit in the number when `.minus`. init(nan payload: RawSignificand, signaling: Bool, sign: Sign) - ////////////////////////////////////////////////////////////////// - /// Essential data to extract or update from the fields + // /////////////////////////////////////////////////////////////// + // Essential data to extract or update from the fields /// Sign of the number var sign: Sign { get set } @@ -71,12 +71,12 @@ protocol DecimalType : Codable, Hashable, Sendable { // /// Encoded unsigned binary integer decimal significand of the number // var sigBitPattern: RawBitPattern { get } - /// Setting requires both the significand and exponent so that a - /// decision can be made on whether the significand is small or large. + // Setting requires both the significand and exponent so that a + // decision can be made on whether the significand is small or large. // mutating func set(exponent: Int, sigBitPattern: RawBitPattern) - ////////////////////////////////////////////////////////////////// - /// Special number definitions + // /////////////////////////////////////////////////////////////// + // Special number definitions // static var snan: Self { get } // // static func zero(_ sign: Sign) -> Self @@ -84,7 +84,7 @@ protocol DecimalType : Codable, Hashable, Sendable { // static func infinite(_ sign: Sign) -> Self // static func max(_ sign: Sign) -> Self - ////////////////////////////////////////////////////////////////// + // /////////////////////////////////////////////////////////////// /// Decimal number definitions static var signBit: Int { get } static var specialBits: IntRange { get } @@ -245,7 +245,7 @@ extension DecimalType { s == .minus ? -T.infinity : .infinity } - // Doesn't change for the different types of Decimals + /// Doesn't change for the different types of Decimals static var minExponent: Int { -exponentBias } /// These bit fields can be predetermined just from the size of @@ -261,11 +261,11 @@ extension DecimalType { static var exponentLMBits: IntRange { maxBit-exponentBits ... maxBit-1 } static var exponentSMBits: IntRange { maxBit-exponentBits-2 ... maxBit-3 } - // Two significand sizes must be supported + /// Two significand sizes must be supported static var largeSignificandBits: IntRange { 0...maxBit-exponentBits-1 } static var smallSignificandBits: IntRange { 0...maxBit-exponentBits-3 } - // masks for clearing bits + /// masks for clearing bits static var sNanRange: IntRange { 0 ... maxBit-6 } static var sInfinityRange: IntRange { 0 ... maxBit-5 } @@ -363,7 +363,7 @@ extension DecimalType { nanBits & Self.nanPattern == Self.infinitePattern<<1 } - // Note: Should detect both Nan and SNan + /// Note: Should detect both Nan and SNan public var isNaN: Bool { return nanBits & Self.snanPattern == Self.nanPattern } @@ -634,7 +634,7 @@ extension DecimalType { return res } - /// if exponent < `minEncodedExponent`, the number may be subnormal + /// if exponent `<` *minEncodedExponent*, the number may be subnormal private func checkNormalScale(_ exp: Int, _ mant: RawBitPattern) -> Bool { if exp < Self.minExponent+Self.maxDigits-1 { let tenPower = BInt(_power(10, to: exp)) @@ -693,7 +693,7 @@ extension DecimalType { } } - /// Note: `exponent` is assumed to be biased + /// Note: *exponent* is assumed to be biased mutating func set(exponent: Int, sigBitPattern: RawBitPattern) { if sigBitPattern < Self.highSignificandBit { // large significand @@ -715,9 +715,9 @@ extension DecimalFloatingPoint { /// /// The magnitude of a floating-point value `x` of type `F` can be calculated /// by using the following formula, where `**` is exponentiation: - /// + /// ```swift /// let magnitude = x.significand * F.radix ** x.exponent - /// + /// ``` /// A conforming type may use any integer radix, but values other than 2 (for /// binary floating-point types) or 10 (for decimal floating-point types) /// are extraordinarily rare in practice. @@ -728,13 +728,13 @@ extension DecimalFloatingPoint { /// /// The following example uses this initializer to create a new `Double` /// instance with the sign of `a` and the magnitude of `b`: - /// + /// ```swift /// let a = -21.5 /// let b = 305.15 /// let c = Decimal32(signOf: a, magnitudeOf: b) /// print(c) /// // Prints "-305.15" - /// + /// ``` /// This initializer implements the IEEE 754 `copysign` operation. /// /// - Parameters: @@ -870,7 +870,9 @@ extension DecimalFloatingPoint { /// If two representable values are equally close, the result is the value /// with more trailing zeros in its significand bit pattern. /// - /// - Parameter value: A decimal floating-point value to be converted. + /// - Parameter value: A decimal floating-point value to be converted. + ///- Parameter rounding: Controls how the `value` is rounded in generating + /// the floating point number. public init(_ value:Source, rounding: RoundingRule) { self.init(0) if let x = value as? Double { @@ -1026,15 +1028,15 @@ extension DecimalFloatingPoint where Self.RawSignificand: FixedWidthInteger { /// Use this method to generate a floating-point value within a specific /// range when you are using a custom random number generator. This example /// creates three new values in the range `10.0 ..< 20.0`. - /// + /// ```swift /// for _ in 1...3 { /// print(Double.random(in: 10.0 ..< 20.0, using: &myGenerator)) /// } /// // Prints "18.1900709259179" /// // Prints "14.2286325689993" /// // Prints "13.1485686260762" - /// - /// The `random(in:using:)` static method chooses a random value from a + /// ``` + /// The ``random(in:using:)`` static method chooses a random value from a /// continuous uniform distribution in `range`, and then converts that value /// to the nearest representable value in this type. Depending on the size /// and span of `range`, some concrete values may be represented more @@ -1082,14 +1084,14 @@ extension DecimalFloatingPoint where Self.RawSignificand: FixedWidthInteger { /// Use this method to generate a floating-point value within a specific /// range. This example creates three new values in the range /// `10.0 ..< 20.0`. - /// + /// ```swift /// for _ in 1...3 { /// print(Double.random(in: 10.0 ..< 20.0)) /// } /// // Prints "18.1900709259179" /// // Prints "14.2286325689993" /// // Prints "13.1485686260762" - /// + /// ``` /// The `random()` static method chooses a random value from a continuous /// uniform distribution in `range`, and then converts that value to the /// nearest representable value in this type. Depending on the size and span @@ -1113,14 +1115,14 @@ extension DecimalFloatingPoint where Self.RawSignificand: FixedWidthInteger { /// Use this method to generate a floating-point value within a specific /// range when you are using a custom random number generator. This example /// creates three new values in the range `10.0 ... 20.0`. - /// + /// ```swift /// for _ in 1...3 { /// print(Double.random(in: 10.0 ... 20.0, using: &myGenerator)) /// } /// // Prints "18.1900709259179" /// // Prints "14.2286325689993" /// // Prints "13.1485686260762" - /// + /// ``` /// The `random(in:using:)` static method chooses a random value from a /// continuous uniform distribution in `range`, and then converts that value /// to the nearest representable value in this type. Depending on the size @@ -1167,14 +1169,14 @@ extension DecimalFloatingPoint where Self.RawSignificand: FixedWidthInteger { /// Use this method to generate a floating-point value within a specific /// range. This example creates three new values in the range /// `10.0 ... 20.0`. - /// + /// ```swift /// for _ in 1...3 { /// print(Double.random(in: 10.0 ... 20.0)) /// } /// // Prints "18.1900709259179" /// // Prints "14.2286325689993" /// // Prints "13.1485686260762" - /// + /// ``` /// The `random()` static method chooses a random value from a continuous /// uniform distribution in `range`, and then converts that value to the /// nearest representable value in this type. Depending on the size and span diff --git a/Sources/BigDecimal/DecimalLogic.swift b/Sources/BigDecimal/Support/DecimalLogic.swift similarity index 76% rename from Sources/BigDecimal/DecimalLogic.swift rename to Sources/BigDecimal/Support/DecimalLogic.swift index bb2293a..6c0d52c 100644 --- a/Sources/BigDecimal/DecimalLogic.swift +++ b/Sources/BigDecimal/Support/DecimalLogic.swift @@ -21,29 +21,40 @@ extension BigDecimal { /// Implementation of a logical AND. /// /// Arguments will be converted to integral numbers using truncation - /// and the result will also be an integral number - /// For example: BigDecimal("56.7") & BigDecimal("89.13") = 24 + /// and the result will also be an integral number. For example: + /// ```swift + /// BigDecimal("56.7") & BigDecimal("89.13") = 24 + /// ``` public static func & (lhs:Self, rhs:Self) -> Self { doLogic(lhs, &, rhs) } /// Implementation of a logical OR. /// /// Arguments will be converted to integral numbers using truncation /// and the result will also be an integral number - /// For example: BigDecimal("56.7") | BigDecimal("89.13") = 121 + /// For example: + /// ```swift + /// BigDecimal("56.7") | BigDecimal("89.13") = 121 + /// ``` public static func | (lhs:Self, rhs:Self) -> Self { doLogic(lhs, |, rhs) } /// Implementation of a logical XOR. /// /// Arguments will be converted to integral numbers using truncation /// and the result will also be an integral number - /// For example: BigDecimal("56.7") ^ BigDecimal("89.13") = 97 + /// For example: + /// ```swift + /// BigDecimal("56.7") ^ BigDecimal("89.13") = 97 + /// ``` public static func ^ (lhs:Self, rhs:Self) -> Self { doLogic(lhs, ^, rhs) } /// Implementation of a logical NOT. /// /// Arguments will be converted to integral numbers using truncation /// and the result will also be an integral number - /// For example: ~BigDecimal("56.7") = -57 + /// For example: + ///```swift + /// ~BigDecimal("56.7") = -57 + /// ``` public static prefix func ~ (lhs:Self) -> Self { guard lhs.isFinite else { return lhs } let x = integralPart(lhs).digits @@ -54,28 +65,40 @@ extension BigDecimal { /// /// Arguments will be converted to integral numbers using truncation /// and the result will also be an integral number - /// For example: nand(BigDecimal("56.7"), BigDecimal("89.13")) = 7 + /// For example: + ///```swift + /// nand(BigDecimal("56.7"), BigDecimal("89.13")) = 7 + /// ``` public static func nand (_ lhs:Self, _ rhs:Self) -> Self { ~(lhs & rhs) } /// Implementation of a logical NOR. /// /// Arguments will be converted to integral numbers using truncation /// and the result will also be an integral number - /// For example: nor(BigDecimal("56.7"), BigDecimal("89.13")) = 902 + /// For example: + ///```swift + /// nor(BigDecimal("56.7"), BigDecimal("89.13")) = 902 + /// ``` public static func nor (_ lhs:Self, _ rhs:Self) -> Self { ~(lhs | rhs) } /// Implementation of a logical XNOR. /// /// Arguments will be converted to integral numbers using truncation /// and the result will also be an integral number - /// For example: xnor(BigDecimal("56.7"), BigDecimal("89.13")) = 926 + /// For example: + ///```swift + /// xnor(BigDecimal("56.7"), BigDecimal("89.13")) = 926 + /// ``` public static func xnor (_ lhs:Self, _ rhs:Self) -> Self { ~(lhs ^ rhs) } /// Set the `n`th bit of the number and return the value where `n` ≥ 0. /// /// Arguments will be converted to integral numbers using truncation /// and the result will also be an integral number. - /// For example: setBit(20, zero) = + /// For example: + /// ```swift + /// Self.setBit(20, of: Self.zero) = 1048576 + /// ``` public static func setBit (_ n:Int, of x: Self) -> Self { var a = x a.digits.setBit(n) @@ -86,7 +109,10 @@ extension BigDecimal { /// /// Arguments will be converted to integral numbers using truncation /// and the result will also be an integral number. - /// For example: clearBit(20, zero) = + /// For example: + ///```swift + /// clearBit(20, of: 1_000_000_000) = 998951424 + /// ``` public static func clearBit (_ n:Int, of x: Self) -> Self { var a = x a.digits.clearBit(n) @@ -97,7 +123,10 @@ extension BigDecimal { /// /// Arguments will be converted to integral numbers using truncation /// and the result will also be an integral number. - /// For example: toggleBit(20, zero) = + /// For example: + /// ```swift + /// toggleBit(20, of: 1_000) = 1049576 + /// ``` public static func toggleBit (_ n:Int, of x: Self) -> Self { var a = x a.digits.flipBit(n) @@ -109,7 +138,10 @@ extension BigDecimal { /// /// Arguments will be converted to integral numbers using truncation /// and the result will also be an integral number. - /// For example: setBit(20, zero) = + /// For example: + /// ```swift + /// testBit(20, of: 1_000_000_000) = true + /// ``` public static func testBit (_ n:Int, of x: Self) -> Bool { x.digits.testBit(n) } diff --git a/Sources/BigDecimal/Extensions.swift b/Sources/BigDecimal/Support/Extensions.swift similarity index 98% rename from Sources/BigDecimal/Extensions.swift rename to Sources/BigDecimal/Support/Extensions.swift index 8e53929..84aa343 100644 --- a/Sources/BigDecimal/Extensions.swift +++ b/Sources/BigDecimal/Support/Extensions.swift @@ -15,15 +15,12 @@ See the License for the specific language governing permissions and limitations under the License. */ -// import UInt128 +import UInt128 import BigInt -import Foundation - extension UInt128 { - public init(w: [UInt64]) { - self.init(_low: w[0], _high:w[1]) - } + public var _high: UInt64 { UInt64(self.components.high) } + public var _low: UInt64 { UInt64(self.components.low) } } extension FloatingPointSign { diff --git a/Sources/BigDecimal/Rounding.swift b/Sources/BigDecimal/Support/Rounding.swift similarity index 100% rename from Sources/BigDecimal/Rounding.swift rename to Sources/BigDecimal/Support/Rounding.swift diff --git a/Tests/BigDecimalTests/Decimal32Tests.swift b/Tests/BigDecimalTests/Decimal32Tests.swift index 75f0f7b..4886371 100644 --- a/Tests/BigDecimalTests/Decimal32Tests.swift +++ b/Tests/BigDecimalTests/Decimal32Tests.swift @@ -1,6 +1,6 @@ import XCTest @testable import BigDecimal -// @testable import UInt128 +@testable import UInt128 @testable import BigInt let verbose = true // set to false to skip test-by-test passes diff --git a/Tests/BigDecimalTests/TestDecimal128Encoding.swift b/Tests/BigDecimalTests/TestDecimal128Encoding.swift index 163005c..5d3b707 100644 --- a/Tests/BigDecimalTests/TestDecimal128Encoding.swift +++ b/Tests/BigDecimalTests/TestDecimal128Encoding.swift @@ -12,7 +12,7 @@ import XCTest @testable import BigDecimal import BigInt -// import UInt128 +import UInt128 class TestDecimal128Encoding: XCTestCase { @@ -28,7 +28,7 @@ class TestDecimal128Encoding: XCTestCase { let b = BInt(s, radix: 16)! let lo = b.words[0] let hi = b.words.count == 1 ? 0 : b.words[1] - return UInt128(_low: UInt64(lo), _high: UInt64(hi)) + return UInt128(high: UInt64(hi), low: UInt64(lo)) } struct test { diff --git a/Tests/BigDecimalTests/TestEncode128.swift b/Tests/BigDecimalTests/TestEncode128.swift index 21a4480..2841bb8 100644 --- a/Tests/BigDecimalTests/TestEncode128.swift +++ b/Tests/BigDecimalTests/TestEncode128.swift @@ -12,7 +12,7 @@ import XCTest @testable import BigDecimal -// import UInt128 +import UInt128 final class TestEncode128: XCTestCase { @@ -23,8 +23,8 @@ final class TestEncode128: XCTestCase { static func U128(_ x: String) -> UInt128 { assert(x.count == 32) let mid = x.index(x.startIndex, offsetBy: 16) - return UInt128(_low: UInt64(x[mid ..< x.endIndex], radix: 16)!, - _high: UInt64(x[x.startIndex ..< mid], radix: 16)!) + return UInt128(high: UInt64(x[x.startIndex ..< mid], radix: 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"},{"type":"codeVoice","code":">="}],"type":"paragraph"}]},{"content":[{"type":"paragraph","inlineContent":[{"text":"Conversion: to String, to Double, to Decimal (the Swift Foundation type), to","type":"text"},{"type":"text","text":" "},{"text":"Decimal32 \/ Decimal64 \/ Decimal128","type":"text"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"Support for Decimal32, Decimal64 and Decimal128 values stored as UInt32,"},{"type":"text","text":" "},{"type":"text","text":"UInt64 and UInt128 values respectively, using Densely Packed Decimal (DPD)"},{"text":" ","type":"text"},{"type":"text","text":"encoding or Binary Integer Decimal (BID) encoding"}]}]},{"content":[{"inlineContent":[{"type":"text","text":"Support for Decimal32, Decimal64 and Decimal128 mathematical operations"}],"type":"paragraph"}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"Supports the IEEE 754 concepts of Infinity and NaN (Not a Number) with the"},{"text":" ","type":"text"},{"text":"latter having a ","type":"text"},{"type":"codeVoice","code":"signaling"},{"text":" option.","type":"text"}]}]}]},{"text":"Dependencies","type":"heading","level":2,"anchor":"Dependencies"},{"type":"paragraph","inlineContent":[{"text":"BigDecimal requires Swift from macOS 13.3+, iOS 16.4+, macCatalyst 16.4+,","type":"text"},{"text":" ","type":"text"},{"type":"text","text":"tvOS 16.4+, or watchOS 9.4+. It also requires that the "},{"type":"codeVoice","code":"Int"},{"text":" type be a 64-bit","type":"text"},{"text":" ","type":"text"},{"text":"type.","type":"text"}]},{"inlineContent":[{"type":"text","text":"The BigDecimal package depends on the BigInt and UInt128 packages."}],"type":"paragraph"},{"type":"codeListing","syntax":null,"code":["dependencies: ["," .package(url: \"https:\/\/github.com\/mgriebling\/BigInt.git\", from: \"2.0.0\"),"," .package(url: \"https:\/\/github.com\/mgriebling\/UInt128.git\", from: \"3.0.0\")","]"]},{"type":"heading","anchor":"Usage","text":"Usage","level":2},{"type":"paragraph","inlineContent":[{"text":"In your project’s Package.swift file add a dependency like","type":"text"}]},{"code":["dependencies: ["," .package(url: \"https:\/\/github.com\/mgriebling\/BigDecimal.git\", from: \"2.0.0\"),","]"],"type":"codeListing","syntax":null},{"level":2,"type":"heading","text":"Basics","anchor":"Basics"},{"text":"Creating 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values","let x32 = BigDecimal(UInt32(0x223000f0), .dpd) \/\/ = 1.70","let x64 = BigDecimal(UInt64(0x22300000000000f0), .dpd) \/\/ = 1.70","let x128 = BigDecimal(UInt128(0x2207800000000000, 0x00000000000000f0), .dpd) \/\/ = 1.70"],"syntax":"swift"},{"type":"paragraph","inlineContent":[{"type":"text","text":"Because Double values cannot represent all decimal values exactly,"},{"text":" ","type":"text"},{"type":"text","text":"one sees that BigDecimal(0.1) is not exactly equal to 1 \/ 10 as one might expect."},{"type":"text","text":" "},{"type":"text","text":"On the other hand, BigDecimal(“0.1”) is in fact exactly equal to 1 \/ 10."}]},{"level":3,"text":"Converting BigDecimal’s","type":"heading","anchor":"Converting-BigDecimals"},{"inlineContent":[{"type":"reference","identifier":"doc:\/\/bigdecimal.BigDecimal\/documentation\/BigDecimal\/BigDecimal","isActive":true},{"text":" values can be converted to ","type":"text"},{"code":"String","type":"codeVoice"},{"type":"text","text":" values, "},{"code":"Double","type":"codeVoice"},{"text":" values,","type":"text"},{"type":"text","text":" "},{"type":"codeVoice","code":"Decimal"},{"type":"text","text":" (the Swift Foundation type) values, and "},{"type":"reference","identifier":"doc:\/\/bigdecimal.BigDecimal\/documentation\/BigDecimal\/Decimal32","isActive":true},{"text":", ","type":"text"},{"identifier":"doc:\/\/bigdecimal.BigDecimal\/documentation\/BigDecimal\/Decimal64","type":"reference","isActive":true},{"text":",","type":"text"},{"text":" ","type":"text"},{"type":"text","text":"and "},{"identifier":"doc:\/\/bigdecimal.BigDecimal\/documentation\/BigDecimal\/Decimal128","isActive":true,"type":"reference"},{"text":" values.","type":"text"}],"type":"paragraph"},{"level":4,"text":"To String","type":"heading","anchor":"To-String"},{"code":["let x1 = BigDecimal(\"2.1\").pow(3)","print(x1.asString()) \/\/ = 9.261"],"syntax":"swift","type":"codeListing"},{"anchor":"To-Double","level":4,"text":"To Double","type":"heading"},{"type":"codeListing","syntax":"swift","code":["let x2 = BigDecimal(\"2.1\").pow(3)","print(x2.asDouble()) \/\/ = 9.261"]},{"text":"To Decimal (the Swift Foundation type)","level":4,"anchor":"To-Decimal-the-Swift-Foundation-type","type":"heading"},{"syntax":"swift","type":"codeListing","code":["let x3 = BigDecimal(\"1.70\")","let xd: Decimal = x3.asDecimal()","print(xd) \/\/ = 1.70"]},{"type":"heading","anchor":"To-Decimal32--64--128","level":4,"text":"To Decimal32 \/ 64 \/ 128"},{"type":"codeListing","code":["let x4 = BigDecimal(\"1.70\")","let x32: UInt32 = x4.asDecimal32(.dpd)","let x64: UInt64 = x4.asDecimal64(.dpd)","let x128: UInt128 = x4.asDecimal128(.dpd)","print(String(x32, radix: 16)) \/\/ = 223000f0","print(String(x64, radix: 16)) \/\/ = 22300000000000f0","print(String(x128, radix: 16)) \/\/ = 220780000000000000000000000000f0"],"syntax":"swift"},{"level":3,"type":"heading","anchor":"Comparing-BigDecimals","text":"Comparing 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If neither of the operands is NaN, the operators perform as expected."},{"type":"text","text":" "},{"type":"text","text":"For example, -"},{"isActive":true,"type":"reference","identifier":"doc:\/\/bigdecimal.BigDecimal\/documentation\/BigDecimal\/BigDecimal\/infinity"},{"type":"text","text":" is less than any finite number which in"},{"text":" ","type":"text"},{"type":"text","text":"turn is less than +"},{"isActive":true,"identifier":"doc:\/\/bigdecimal.BigDecimal\/documentation\/BigDecimal\/BigDecimal\/infinity","type":"reference"},{"type":"text","text":"."}],"type":"paragraph"},{"type":"paragraph","inlineContent":[{"type":"text","text":"Please see the section "},{"type":"emphasis","inlineContent":[{"text":"About NaN’s","type":"text"}]},{"type":"text","text":" for the rules governing comparison involving NaN’s."}]},{"inlineContent":[{"text":"The static function ","type":"text"},{"type":"codeVoice","code":"BigDecimal.maximum(x:y:)"},{"text":" returns the non-NaN number if","type":"text"},{"type":"text","text":" "},{"type":"text","text":"either x or y is NaN; otherwise it returns the larger of x and y."}],"type":"paragraph"},{"type":"paragraph","inlineContent":[{"type":"text","text":"The static function "},{"code":"BigDecimal.minimum(x:y:)","type":"codeVoice"},{"text":" returns the non-NaN number if","type":"text"},{"type":"text","text":" "},{"type":"text","text":"either x or y is NaN; otherwise it returns the smaller of x and y."}]},{"anchor":"Exact-Arithmetic","level":3,"text":"Exact Arithmetic","type":"heading"},{"inlineContent":[{"text":"The ‘+’, ‘-’, and ‘*’ operators always produce exact results. The ‘\/’ operator","type":"text"},{"text":" ","type":"text"},{"type":"text","text":"truncates the exact result to an integer."}],"type":"paragraph"},{"type":"codeListing","syntax":"swift","code":["let a = BigDecimal(\"25.1\")","let b = BigDecimal(\"12.0041\")","","print(a + b) \/\/ = 37.1041","print(a - b) \/\/ = 13.0959","print(a * b) \/\/ = 301.30291","print(a \/ b) \/\/ = 2"]},{"type":"paragraph","inlineContent":[{"type":"text","text":"The "},{"inlineContent":[{"text":"quotientAndRemainder","type":"text"}],"type":"emphasis"},{"type":"text","text":" function produces an integer quotient and exact remainder"}]},{"syntax":"swift","code":["print(a.quotientAndRemainder(b)) \/\/ = (quotient: 2, remainder: 1.0918)"],"type":"codeListing"},{"level":3,"text":"Rounded Arithmetic","anchor":"Rounded-Arithmetic","type":"heading"},{"type":"paragraph","inlineContent":[{"text":"Rounding is controlled by Rounding objects that contain a rounding mode and a","type":"text"},{"type":"text","text":" "},{"type":"text","text":"precision, which is the number of digits in the rounded result."}]},{"inlineContent":[{"text":"The rounding modes are:","type":"text"}],"type":"paragraph"},{"type":"unorderedList","items":[{"content":[{"type":"paragraph","inlineContent":[{"text":"awayFromZero - round away from 0","type":"text"}]}]},{"content":[{"inlineContent":[{"type":"text","text":"down - round towards -infinity"}],"type":"paragraph"}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"up - round towards +infinity"}]}]},{"content":[{"inlineContent":[{"type":"text","text":"towardZero - round towards 0"}],"type":"paragraph"}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"toNearestOrEven - round to nearest, ties to even"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"text":"toNearestOrAwayFromZero - round to nearest, ties away from 0","type":"text"}]}]}]},{"type":"paragraph","inlineContent":[{"type":"text","text":"The "},{"type":"emphasis","inlineContent":[{"text":"add","type":"text"}]},{"type":"text","text":", "},{"type":"emphasis","inlineContent":[{"type":"text","text":"subtract"}]},{"type":"text","text":" and "},{"inlineContent":[{"type":"text","text":"multiply"}],"type":"emphasis"},{"text":" methods have a Rounding parameter that","type":"text"},{"text":" ","type":"text"},{"text":"controls how the result is rounded.","type":"text"}]},{"text":"Examples","level":4,"anchor":"Examples","type":"heading"},{"syntax":"swift","code":["let a = BigDecimal(\"25.1E-2\")","let b = BigDecimal(\"12.0041E-3\")","let rnd = Rounding(.ceiling, 3)","\t","print(a + b) \/\/ = 0.2630041","print(a.add(b, rnd)) \/\/ = 0.264","print(a - b) \/\/ = 0.2389959","print(a.subtract(b, rnd)) \/\/ = 0.239","print(a * b) \/\/ = 0.0030130291","print(a.multiply(b, rnd)) \/\/ = 0.00302"],"type":"codeListing"},{"anchor":"Precise-division","level":3,"text":"Precise division","type":"heading"},{"type":"paragraph","inlineContent":[{"text":"The ","type":"text"},{"type":"emphasis","inlineContent":[{"text":"divide","type":"text"}]},{"text":" method, that has an optional rounding parameter, performs division.","type":"text"},{"type":"text","text":" "},{"type":"text","text":"If the quotient has finite decimal expansion, the rounding parameter may or may not be present, it is used if it is there."},{"type":"text","text":" "},{"text":"If the quotient has infinite decimal expansion, the rounding parameter must be present and is used to round the result.","type":"text"}]},{"level":4,"text":"Examples","type":"heading","anchor":"Examples"},{"type":"codeListing","code":["let x1 = BigDecimal(3)","let x2 = BigDecimal(48)","print(x1.divide(x2)) \/\/ = 0.0625","let rnd = Rounding(.ceiling, 2)","print(x1.divide(x2, rnd)) \/\/ = 0.063","\t","let x3 = BigDecimal(3)","let x4 = BigDecimal(49)","print(x3.divide(x4)) \/\/ = NaN because the quotient has infinite decimal expansion 0.06122448...","print(x3.divide(x4, rnd)) \/\/ = 0.062"],"syntax":"swift"},{"type":"heading","text":"Data Encoding","level":2,"anchor":"Data-Encoding"},{"inlineContent":[{"type":"text","text":"BigDecimal’s can be encoded as Data objects (perhaps for long term storage) using the "},{"type":"emphasis","inlineContent":[{"type":"text","text":"asData"}]},{"text":" method,","type":"text"},{"text":" ","type":"text"},{"type":"text","text":"and they can be regenerated from their Data encoding using the appropriate initializer."},{"text":" ","type":"text"},{"type":"text","text":"The encoding rules are:"}],"type":"paragraph"},{"type":"unorderedList","items":[{"content":[{"type":"paragraph","inlineContent":[{"text":"The encoding contains nine or more bytes. The first eight bytes is a","type":"text"},{"text":" ","type":"text"},{"type":"text","text":"Big Endian encoding of the signed exponent."},{"type":"text","text":" "},{"type":"text","text":"The remaining bytes is a Big Endian encoding of the signed significand."}]}]},{"content":[{"inlineContent":[{"type":"text","text":"NaN’s (and signaling NaNs) are encoded as a single byte = 0"}],"type":"paragraph"}]},{"content":[{"type":"paragraph","inlineContent":[{"text":"positive infinity is encoded as a single byte = 1","type":"text"}]}]},{"content":[{"inlineContent":[{"type":"text","text":"negative infinity is encoded as a single byte = 2"}],"type":"paragraph"}]},{"content":[{"inlineContent":[{"text":"negative zero is encoded as a single byte = 3","type":"text"}],"type":"paragraph"}]}]},{"type":"paragraph","inlineContent":[{"text":"It is also possible to encode BigDecimal’s using the ","type":"text"},{"code":"JSONEncoder","type":"codeVoice"},{"type":"text","text":" or as a"},{"text":" ","type":"text"},{"type":"text","text":"property list using the "},{"code":"PropertyListEncoder","type":"codeVoice"},{"type":"text","text":" as in the second example."}]},{"level":3,"anchor":"Examples","text":"Examples","type":"heading"},{"code":["let x1 = BigDecimal(1000, 3) \/\/ = 1000000","print(Bytes(x1.asData())) \/\/ = [0, 0, 0, 0, 0, 0, 0, 3, 3, 232]","","let x2 = BigDecimal(1000, -3) \/\/ = 1.000","print(Bytes(x2.asData())) \/\/ = [255, 255, 255, 255, 255, 255, 255, 253, 3, 232]","","let x3 = BigDecimal(-1000, 3) \/\/ = -1000000","print(Bytes(x3.asData())) \/\/ = [0, 0, 0, 0, 0, 0, 0, 3, 252, 24]","","let x4 = BigDecimal(-1000, -3) \/\/ = -1.000","print(Bytes(x4.asData())) \/\/ = [255, 255, 255, 255, 255, 255, 255, 253, 252, 24]"],"type":"codeListing","syntax":"swift"},{"type":"codeListing","syntax":"swift","code":["let encoder = JSONEncoder()","let x1 = BigDecimal(1000, 3) \/\/ = 1000000","if let encoded = try? encoder.encode(x1) {"," \/\/ save `encoded` data somewhere or",""," \/\/ extract the JSON string from the data"," if let json = String(data: encoded, encoding: .utf8) {"," print(json)"," }","}"]},{"level":2,"text":"Decimal Formats","anchor":"Decimal-Formats","type":"heading"},{"type":"paragraph","inlineContent":[{"text":"Decimal values can be represented not only as BigDecimal’s but also as Double values,","type":"text"},{"type":"text","text":" "},{"type":"text","text":"Decimal (the Swift Foundation type) values, and Decimal32 \/ 64 \/ 128 values."},{"type":"text","text":" "},{"type":"text","text":"The strategy for working with other than BigDecimal values can be summarized as follows:"}]},{"type":"unorderedList","items":[{"content":[{"inlineContent":[{"type":"text","text":"convert the input values to BigDecimal’s using the appropriate initializer"}],"type":"paragraph"}]},{"content":[{"type":"paragraph","inlineContent":[{"text":"compute the results","type":"text"}]}]},{"content":[{"inlineContent":[{"text":"convert the results back to the desired output format using the appropriate conversion function","type":"text"}],"type":"paragraph"}]}]},{"inlineContent":[{"text":"As an example, suppose you must compute the average value of three values a, b and c which are encoded as Decimal32 values using Densely Packed Decimal (DPD) encoding.","type":"text"},{"type":"text","text":" "},{"text":"The result x must likewise be a Decimal32 value encoded using DPD.","type":"text"}],"type":"paragraph"},{"type":"codeListing","syntax":"swift","code":["\/\/ Input values","let a = UInt32(0x223e1117) \/\/ = 7042.17 DPD encoded","let b = UInt32(0x22300901) \/\/ = 22.01 DPD encoded","let c = UInt32(0xa230cc00) \/\/ = -330.00 DPD encoded","\t","\/\/ Convert to BigDecimal's","let A = BigDecimal(a, .dpd)","let B = BigDecimal(b, .dpd)","let C = BigDecimal(c, .dpd)","\t","\/\/ Compute result","let X = (A + B + C).divide(3, Rounding.decimal32)","print(X) \/\/ = 2244.727","\t","\/\/ Convert result back to Decimal32","let x = X.asDecimal32(.dpd)","print(String(x, radix: 16)) \/\/ = 2a2513a7 (= 2244.727 DPD encoded)"]},{"anchor":"About-Infinities","type":"heading","level":2,"text":"About Infinities"},{"inlineContent":[{"type":"text","text":"The constants "},{"code":"BigDecimal.infinity","type":"codeVoice"},{"text":" and ","type":"text"},{"code":"-BigDecimal.infinity","type":"codeVoice"},{"type":"text","text":" represent"},{"type":"text","text":" "},{"type":"text","text":"+Infinity and -Infinity respectively."},{"type":"text","text":" "},{"code":"-infinity","type":"codeVoice"},{"type":"text","text":" compares less than every finite number,"},{"type":"text","text":" "},{"text":"and every finite number compares less than ","type":"text"},{"type":"codeVoice","code":"infinity"},{"type":"text","text":". Arithmetic operations"},{"text":" ","type":"text"},{"type":"text","text":"involving infinite values is illustrated by the examples below:"}],"type":"paragraph"},{"syntax":"swift","type":"codeListing","code":["let InfP = BigDecimal.infinity \/\/ Just to save some writing","let InfN = -BigDecimal.infinity","","print(InfP + 3) \/\/ +Infinity","print(InfN + 3) \/\/ -Infinity","print(InfP + InfP) \/\/ +Infinity","print(InfP - InfP) \/\/ NaN","print(InfP * 3) \/\/ +Infinity","print(InfP * InfP) \/\/ +Infinity","print(InfP * InfN) \/\/ -Infinity","print(InfP * 0) \/\/ NaN","print(InfP \/ 3) \/\/ +Infinity","print(InfP \/ 0) \/\/ +Infinity","print(1 \/ InfP) \/\/ 0","print(1 \/ InfN) \/\/ 0","print(InfP \/ InfP) \/\/ NaN","print(InfP < InfP) \/\/ false","print(InfP == InfP) \/\/ true","print(InfP != InfP) \/\/ false","print(InfP > InfP) \/\/ false","print(Rounding.decimal32.round(InfP)) \/\/ +Infinity","print(InfP.scale(4)) \/\/ +Infinity","print(InfP.scale(-4)) \/\/ +Infinity","print(InfP.withExponent(10, .up)) \/\/ NaN"]},{"type":"heading","level":2,"anchor":"About-NaNs","text":"About NaN’s"},{"inlineContent":[{"text":"The IEEE 754 standard specifies two NaN’s, a quiet NaN (qNaN) and a signaling NaN (sNaN).","type":"text"},{"text":" ","type":"text"},{"text":"The constant ","type":"text"},{"type":"emphasis","inlineContent":[{"type":"text","text":"BigDecimal.NaN"}]},{"text":" corresponds to the quiet NaN and","type":"text"},{"type":"text","text":" "},{"type":"codeVoice","code":"BigDecimal.signalingNan"},{"type":"text","text":" to the signaling NaN."}],"type":"paragraph"},{"type":"paragraph","inlineContent":[{"type":"text","text":"Arithmetic operations where one or more input is NaN, return NaN as result."},{"text":" ","type":"text"},{"text":"Comparing NaN values is illustrated by the example below:","type":"text"}]},{"code":["let NaN = BigDecimal.NaN \/\/ Just to save some writing","\t","print(3 < NaN) \/\/ false","print(NaN < 3) \/\/ false","print(NaN < NaN) \/\/ false","print(3 <= NaN) \/\/ false","print(NaN <= 3) \/\/ false","print(NaN <= NaN) \/\/ false","print(3 > NaN) \/\/ false","print(NaN > 3) \/\/ false","print(NaN > NaN) \/\/ false","print(3 >= NaN) \/\/ false","print(NaN >= 3) \/\/ false","print(NaN >= NaN) \/\/ false","print(3 == NaN) \/\/ false","print(NaN == 3) \/\/ false","print(NaN == NaN) \/\/ false","print(3 != NaN) \/\/ true","print(NaN != 3) \/\/ true","print(NaN != NaN) \/\/ true !!!"],"type":"codeListing","syntax":"swift"},{"inlineContent":[{"type":"text","text":"Because NaN != NaN is true, sorting a collection of BigDecimal’s doesn’t"},{"type":"text","text":" "},{"type":"text","text":"work if the collection contains one or more NaN’s. This is so, even if"},{"type":"text","text":" "},{"type":"text","text":"BigDecimal conforms to the Comparable protocol. Note: It is possible to"},{"type":"text","text":" "},{"text":"sort values including NaNs using the ","type":"text"},{"type":"codeVoice","code":"isTotallyOrdered(belowOrEqualTo:)"},{"type":"text","text":" "},{"type":"text","text":"method."}],"type":"paragraph"},{"type":"paragraph","inlineContent":[{"type":"text","text":"The following example uses "},{"type":"codeVoice","code":"isTotallyOrdered(belowOrEqualTo:)"},{"text":" to sort an","type":"text"},{"type":"text","text":" "},{"type":"text","text":"array of floating-point values, including some that are NaN:"}]},{"syntax":"swift","type":"codeListing","code":["var numbers = [2.5, 21.25, 3.0, .nan, -9.5]","numbers.sort { !$1.isTotallyOrdered(belowOrEqualTo: $0) }","print(numbers)","\/\/ Prints \"[-9.5, 2.5, 3.0, 21.25, nan]\""]},{"type":"paragraph","inlineContent":[{"type":"text","text":"There is a static boolean variable "},{"inlineContent":[{"type":"text","text":"BigDecimal.NaNFlag"}],"type":"emphasis"},{"text":" which is set to","type":"text"},{"text":" ","type":"text"},{"inlineContent":[{"text":"true","type":"text"}],"type":"emphasis"},{"text":" whenever a NaN value is generated. It can be set to ","type":"text"},{"type":"emphasis","inlineContent":[{"text":"false","type":"text"}]},{"text":" by","type":"text"},{"text":" ","type":"text"},{"text":"application code. Therefore, to check if a sequence of code generates NaN,","type":"text"},{"text":" ","type":"text"},{"type":"text","text":"set NaNFlag to "},{"type":"emphasis","inlineContent":[{"type":"text","text":"false"}]},{"text":" before the code and check it after the code. Since","type":"text"},{"text":" ","type":"text"},{"text":"a BigDecimal has a stored property ","type":"text"},{"inlineContent":[{"type":"text","text":"isNaN"}],"type":"emphasis"},{"type":"text","text":", it is of course also possible to"},{"text":" ","type":"text"},{"type":"text","text":"check for a NaN value at any time."}]},{"type":"heading","level":2,"text":"References","anchor":"References"},{"type":"paragraph","inlineContent":[{"text":"Algorithms from the following books and papers have been used in the implementation.","type":"text"},{"text":" ","type":"text"},{"type":"text","text":"There are references in the source code where appropriate."}]},{"type":"unorderedList","items":[{"content":[{"inlineContent":[{"type":"text","text":"[GRANLUND] - Moller and Granlund: Improved Division by Invariant Integers, 2011"}],"type":"paragraph"}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"[IEEE] - IEEE Standard for Floating-Point Arithmetic, 2019"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"type":"text","text":"[KNUTH] - Donald E. Knuth: Seminumerical Algorithms, Addison-Wesley 1971"}]}]}]},{"type":"heading","anchor":"Acknowledgement","level":2,"text":"Acknowledgement"},{"type":"orderedList","items":[{"content":[{"inlineContent":[{"text":"Much of the original ","type":"text"},{"identifier":"https:\/\/github.com\/leif-ibsen\/BigDecimal.git","isActive":true,"type":"reference"},{"type":"text","text":" (pre-V2) was created by Leif Ibsen."}],"type":"paragraph"}]},{"content":[{"inlineContent":[{"type":"text","text":"Some unit test cases come from the "},{"type":"reference","identifier":"http:\/\/speleotrove.com\/decimal","isActive":true}],"type":"paragraph"}]},{"content":[{"type":"paragraph","inlineContent":[{"text":"Additional unit test cases and some algorithms are from the","type":"text"},{"type":"text","text":" "},{"identifier":"https:\/\/www.intel.com\/content\/www\/us\/en\/developer\/articles\/tool\/intel-decimal-floating-point-math-library.html","isActive":true,"type":"reference"}]}]},{"content":[{"type":"paragraph","inlineContent":[{"text":"Floating point math functions are translated to Swift from the","type":"text"},{"text":" ","type":"text"},{"type":"reference","identifier":"https:\/\/github.com\/eobermuhlner\/big-math","isActive":true},{"type":"text","text":" implementation by Eric 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n=t.locale||"en-US",r=!1!==t.fallbackLocale&&(t.fallbackLocale||"en-US"),o=t.messages||{},i=t.dateTimeFormats||t.datetimeFormats||{},a=t.numberFormats||{};this._vm=null,this._formatter=t.formatter||$t,this._modifiers=t.modifiers||{},this._missing=t.missing||null,this._root=t.root||null,this._sync=void 0===t.sync||!!t.sync,this._fallbackRoot=void 0===t.fallbackRoot||!!t.fallbackRoot,this._fallbackRootWithEmptyString=void 0===t.fallbackRootWithEmptyString||!!t.fallbackRootWithEmptyString,this._formatFallbackMessages=void 0!==t.formatFallbackMessages&&!!t.formatFallbackMessages,this._silentTranslationWarn=void 0!==t.silentTranslationWarn&&t.silentTranslationWarn,this._silentFallbackWarn=void 0!==t.silentFallbackWarn&&!!t.silentFallbackWarn,this._dateTimeFormatters={},this._numberFormatters={},this._path=new yt,this._dataListeners=new Set,this._componentInstanceCreatedListener=t.componentInstanceCreatedListener||null,this._preserveDirectiveContent=void 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r=this._getMessages();Object.keys(r).forEach((function(t){e._checkLocaleMessage(t,e._warnHtmlInMessage,r[t])}))}},Ot.postTranslation.get=function(){return this._postTranslation},Ot.postTranslation.set=function(t){this._postTranslation=t},Ot.sync.get=function(){return this._sync},Ot.sync.set=function(t){this._sync=t},xt.prototype._getMessages=function(){return this._vm.messages},xt.prototype._getDateTimeFormats=function(){return this._vm.dateTimeFormats},xt.prototype._getNumberFormats=function(){return this._vm.numberFormats},xt.prototype._warnDefault=function(t,e,n,r,o,i){if(!h(n))return n;if(this._missing){var a=this._missing.apply(null,[t,e,r,o]);if(u(a))return a}else 0;if(this._formatFallbackMessages){var s=v.apply(void 0,o);return this._render(e,i,s.params,e)}return e},xt.prototype._isFallbackRoot=function(t){return(this._fallbackRootWithEmptyString?!t:h(t))&&!h(this._root)&&this._fallbackRoot},xt.prototype._isSilentFallbackWarn=function(t){return this._silentFallbackWarn 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0:i,s);if(this._isFallbackRoot(m)){if(!this._root)throw Error("unexpected error");var y=this._root.$i18n;m=y._translate(y._getMessages(),y.locale,y.fallbackLocale,v,r,o,i)}m=this._warnDefault(t,v,m,r,a(i)?i:[i],o),this._modifiers.hasOwnProperty(d)?m=this._modifiers[d](m):kt.hasOwnProperty(d)&&(m=kt[d](m)),s.pop(),c=m?c.replace(f,m):c}return c},xt.prototype._createMessageContext=function(t,e,n,r){var o=this,i=a(t)?t:[],c=s(t)?t:{},u=function(t){return i[t]},l=function(t){return c[t]},f=this._getMessages(),p=this.locale;return{list:u,named:l,values:t,formatter:e,path:n,messages:f,locale:p,linked:function(t){return o._interpolate(p,f[p]||{},t,null,r,void 0,[t])}}},xt.prototype._render=function(t,e,n,r){if(d(t))return t(this._createMessageContext(n,this._formatter||$t,r,e));var o=this._formatter.interpolate(t,n,r);return o||(o=$t.interpolate(t,n,r)),"string"!==e||u(o)?o:o.join("")},xt.prototype._appendItemToChain=function(t,e,n){var r=!1;return 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i=this._translate(n,e,this.fallbackLocale,t,r,"raw",o);if(this._isFallbackRoot(i)){if(!this._root)throw Error("unexpected error");return this._root.$i18n.i(t,e,o)}return this._warnDefault(e,t,i,r,[o],"raw")},xt.prototype.i=function(t,e,n){return t?(u(e)||(e=this.locale),this._i(t,e,this._getMessages(),null,n)):""},xt.prototype._tc=function(t,e,n,r,o){var i,a=[],s=arguments.length-5;while(s-- >0)a[s]=arguments[s+5];if(!t)return"";void 0===o&&(o=1);var c={count:o,n:o},u=v.apply(void 0,a);return u.params=Object.assign(c,u.params),a=null===u.locale?[u.params]:[u.locale,u.params],this.fetchChoice((i=this)._t.apply(i,[t,e,n,r].concat(a)),o)},xt.prototype.fetchChoice=function(t,e){if(!t||!u(t))return null;var n=t.split("|");return e=this.getChoiceIndex(e,n.length),n[e]?n[e].trim():t},xt.prototype.tc=function(t,e){var n,r=[],o=arguments.length-2;while(o-- 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t=[];t=this.activeTags.length>0?this.activeTags:[this.name],e.clipboardData.setData("text/html",yo({tags:t})),e.clipboardData.setData("text/plain",t.join(" 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jo=5,Fo="filter-input",Ho="selected-tags",Vo="suggested-tags",Wo={autocorrect:"off",autocapitalize:"off",spellcheck:"false",role:"combobox","aria-haspopup":"true","aria-autocomplete":"none","aria-owns":"suggestedTags","aria-controls":"suggestedTags"};var Uo,Qo,Go={name:"FilterInput",mixins:[ko,_o],constants:{FilterInputId:Fo,SelectedTagsId:Ho,SuggestedTagsId:Vo,AXinputProperties:Wo,TagLimit:jo},components:{TagList:qo,ClearRoundedIcon:uo,FilterIcon:Do},props:{positionReversed:{type:Boolean,default:()=>!1},tags:{type:Array,default:()=>[]},selectedTags:{type:Array,default:()=>[]},preventedBlur:{type:Boolean,default:()=>!1},placeholder:{type:String,default:()=>""},disabled:{type:Boolean,default:()=>!1},value:{type:String,default:()=>""},shouldTruncateTags:{type:Boolean,default:!1},focusInputWhenCreated:{type:Boolean,default:!1},focusInputWhenEmpty:{type:Boolean,default:!1},selectInputOnFocus:{type:Boolean,default:!1},preventBorderStyle:{type:Boolean,default:!1},translatableTags:{type:Array,default:()=>[]}},data(){return{resetedTagsViaDeleteButton:!1,FilterInputId:Fo,SelectedTagsId:Ho,SuggestedTagsId:Vo,AXinputProperties:Wo,showSuggestedTags:!1}},computed:{hasSuggestedTags:({suggestedTags:e})=>e.length,hasSelectedTags:({selectedTags:e})=>e.length,inputIsNotEmpty:({input:e,hasSelectedTags:t})=>e.length||t,searchAriaLabelledBy:({hasSelectedTags:e})=>e?Fo.concat(" 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t=await(0,x.k_)(e.path,{signal:this.abortController.signal});this.$cachedSymbolResults.set(e.uid,{success:!0,json:t})}catch(t){t.name!==Rl&&this.$cachedSymbolResults.set(e.uid,{success:!1})}finally{this.cachedSymbolResults=Object.freeze(Object.fromEntries(this.$cachedSymbolResults))}};this.abortController&&this.abortController.abort(),this.abortController=new AbortController,await Promise.all([e(this.selectedSymbol).finally((()=>{clearTimeout(this.loadingTimeout),this.previewIsLoadingSlowly=!1})),e(this.nextSymbol)])}}},zl=Ml,Kl=(0,j.Z)(zl,to,no,!1,null,"2f89fac2",null),Zl=Kl.exports,ql=function(){var e=this,t=e._self._c;return t("div",{staticClass:"adjustable-sidebar-width",class:{dragging:e.isDragging,"sidebar-hidden":!e.enableNavigator||e.hiddenOnLarge}},[e.enableNavigator?t("div",{ref:"sidebar",staticClass:"sidebar"},[t("div",{ref:"aside",staticClass:"aside",class:e.asideClasses,style:e.asideStyles,attrs:{"aria-hidden":e.hiddenOnLarge?"true":null},on:{transitionstart:function(t){return t.target!==t.currentTarget?null:e.trackTransitionStart.apply(null,arguments)},transitionend:function(t){return t.target!==t.currentTarget?null:e.trackTransitionEnd.apply(null,arguments)}}},[e._t("aside",null,{animationClass:"aside-animated-child",scrollLockID:e.scrollLockID,breakpoint:e.breakpoint})],2),e.fixedWidth?e._e():t("div",{staticClass:"resize-handle",on:{mousedown:function(t){return t.preventDefault(),e.startDrag.apply(null,arguments)},touchstart:function(t){return t.preventDefault(),e.startDrag.apply(null,arguments)}}})]):e._e(),t("div",{ref:"content",staticClass:"content"},[e._t("default")],2),e.enableNavigator?t("BreakpointEmitter",{attrs:{scope:e.BreakpointScopes.nav},on:{change:function(t){e.breakpoint=t}}}):e._e()],1)},jl=[],Fl=n(7247),Hl=n(7188),Vl=n(114),Wl=n(1147),Ul=n(1716);const Ql="sidebar",Gl=1521,Xl=543,Yl=400,Jl={touch:{move:"touchmove",end:"touchend"},mouse:{move:"mousemove",end:"mouseup"}},ec=(e,t=window.innerWidth)=>{const n=Math.min(t,Gl);return Math.floor(Math.min(n*(e/100),n))},tc={medium:30,large:30},nc={medium:50,large:40},ic="sidebar-scroll-lock";var ac={name:"AdjustableSidebarWidth",constants:{SCROLL_LOCK_ID:ic},components:{BreakpointEmitter:Hl["default"]},inject:["store"],props:{shownOnMobile:{type:Boolean,default:!1},enableNavigator:{type:Boolean,default:!0},hiddenOnLarge:{type:Boolean,default:!1},fixedWidth:{type:Number,default:null}},data(){const 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e=[],{items:t,keyField:n,simpleArray:i}=this,a=this.vscrollData.sizes,s=t.length;for(let r=0;r=n)break;i+=t[o].size||this.minItemSize,a+=e[o].size||this.minItemSize}const r=a-i;0!==r&&(this.$el.scrollTop+=r)}},beforeCreate(){this.$_updates=[],this.$_undefinedSizes=0,this.$_undefinedMap={}},activated(){this.vscrollData.active=!0},deactivated(){this.vscrollData.active=!1},methods:{onScrollerResize(){const e=this.$refs.scroller;e&&this.forceUpdate(),this.$emit("resize")},onScrollerVisible(){this.$emit("vscroll:update",{force:!1}),this.$emit("visible")},forceUpdate(e=!0){(e||this.simpleArray)&&(this.vscrollData.validSizes={}),this.$emit("vscroll:update",{force:!0})},scrollToItem(e){const t=this.$refs.scroller;t&&t.scrollToItem(e)},getItemSize(e,t=undefined){const n=this.simpleArray?null!=t?t:this.items.indexOf(e):e[this.keyField];return this.vscrollData.sizes[n]||0},scrollToBottom(){if(this.$_scrollingToBottom)return;this.$_scrollingToBottom=!0;const e=this.$el;this.$nextTick((()=>{e.scrollTop=e.scrollHeight+5e3;const t=()=>{e.scrollTop=e.scrollHeight+5e3,requestAnimationFrame((()=>{e.scrollTop=e.scrollHeight+5e3,0===this.$_undefinedSizes?this.$_scrollingToBottom=!1:requestAnimationFrame(t)}))};requestAnimationFrame(t)}))}}};const ad=id;var sd=function(){var e=this,t=e.$createElement,n=e._self._c||t;return n("RecycleScroller",e._g(e._b({ref:"scroller",attrs:{items:e.itemsWithSize,"min-item-size":e.minItemSize,direction:e.direction,"key-field":"id","list-tag":e.listTag,"item-tag":e.itemTag},on:{resize:e.onScrollerResize,visible:e.onScrollerVisible},scopedSlots:e._u([{key:"default",fn:function(t){var n=t.item,i=t.index,a=t.active;return[e._t("default",null,null,{item:n.item,index:i,active:a,itemWithSize:n})]}}],null,!0)},"RecycleScroller",e.$attrs,!1),e.listeners),[e._v(" "),n("template",{slot:"before"},[e._t("before")],2),e._v(" "),n("template",{slot:"after"},[e._t("after")],2),e._v(" "),n("template",{slot:"empty"},[e._t("empty")],2)],2)},rd=[];sd._withStripped=!0;const od=void 0,ld=void 0,cd=void 0,dd=!1,ud=Uc({render:sd,staticRenderFns:rd},od,ad,ld,dd,cd,!1,void 0,void 0,void 0);var hd={name:"DynamicScrollerItem",inject:["vscrollData","vscrollParent","vscrollResizeObserver"],props:{item:{required:!0},watchData:{type:Boolean,default:!1},active:{type:Boolean,required:!0},index:{type:Number,default:void 0},sizeDependencies:{type:[Array,Object],default:null},emitResize:{type:Boolean,default:!1},tag:{type:String,default:"div"}},computed:{id(){if(this.vscrollData.simpleArray)return this.index;if(this.item.hasOwnProperty(this.vscrollData.keyField))return this.item[this.vscrollData.keyField];throw new Error(`keyField '${this.vscrollData.keyField}' not found in your item. You should set a valid keyField prop on your Scroller`)},size(){return this.vscrollData.validSizes[this.id]&&this.vscrollData.sizes[this.id]||0},finalActive(){return this.active&&this.vscrollData.active}},watch:{watchData:"updateWatchData",id(){this.size||this.onDataUpdate()},finalActive(e){this.size||(e?this.vscrollParent.$_undefinedMap[this.id]||(this.vscrollParent.$_undefinedSizes++,this.vscrollParent.$_undefinedMap[this.id]=!0):this.vscrollParent.$_undefinedMap[this.id]&&(this.vscrollParent.$_undefinedSizes--,this.vscrollParent.$_undefinedMap[this.id]=!1)),this.vscrollResizeObserver?e?this.observeSize():this.unobserveSize():e&&this.$_pendingVScrollUpdate===this.id&&this.updateSize()}},created(){if(!this.$isServer&&(this.$_forceNextVScrollUpdate=null,this.updateWatchData(),!this.vscrollResizeObserver)){for(const e in this.sizeDependencies)this.$watch((()=>this.sizeDependencies[e]),this.onDataUpdate);this.vscrollParent.$on("vscroll:update",this.onVscrollUpdate),this.vscrollParent.$on("vscroll:update-size",this.onVscrollUpdateSize)}},mounted(){this.vscrollData.active&&(this.updateSize(),this.observeSize())},beforeDestroy(){this.vscrollParent.$off("vscroll:update",this.onVscrollUpdate),this.vscrollParent.$off("vscroll:update-size",this.onVscrollUpdateSize),this.unobserveSize()},methods:{updateSize(){this.finalActive?this.$_pendingSizeUpdate!==this.id&&(this.$_pendingSizeUpdate=this.id,this.$_forceNextVScrollUpdate=null,this.$_pendingVScrollUpdate=null,this.computeSize(this.id)):this.$_forceNextVScrollUpdate=this.id},updateWatchData(){this.watchData&&!this.vscrollResizeObserver?this.$_watchData=this.$watch("item",(()=>{this.onDataUpdate()}),{deep:!0}):this.$_watchData&&(this.$_watchData(),this.$_watchData=null)},onVscrollUpdate({force:e}){!this.finalActive&&e&&(this.$_pendingVScrollUpdate=this.id),this.$_forceNextVScrollUpdate!==this.id&&!e&&this.size||this.updateSize()},onDataUpdate(){this.updateSize()},computeSize(e){this.$nextTick((()=>{if(this.id===e){const e=this.$el.offsetWidth,t=this.$el.offsetHeight;this.applySize(e,t)}this.$_pendingSizeUpdate=null}))},applySize(e,t){const n=~~("vertical"===this.vscrollParent.direction?t:e);n&&this.size!==n&&(this.vscrollParent.$_undefinedMap[this.id]&&(this.vscrollParent.$_undefinedSizes--,this.vscrollParent.$_undefinedMap[this.id]=void 0),this.$set(this.vscrollData.sizes,this.id,n),this.$set(this.vscrollData.validSizes,this.id,!0),this.emitResize&&this.$emit("resize",this.id))},observeSize(){this.vscrollResizeObserver&&this.$el.parentNode&&(this.vscrollResizeObserver.observe(this.$el.parentNode),this.$el.parentNode.addEventListener("resize",this.onResize))},unobserveSize(){this.vscrollResizeObserver&&(this.vscrollResizeObserver.unobserve(this.$el.parentNode),this.$el.parentNode.removeEventListener("resize",this.onResize))},onResize(e){const{width:t,height:n}=e.detail.contentRect;this.applySize(t,n)}},render(e){return e(this.tag,this.$slots.default)}};const pd=hd,gd=void 0,fd=void 0,md=void 0,yd=void 0,vd=Uc({},gd,pd,fd,yd,md,!1,void 0,void 0,void 0);function bd({idProp:e=(e=>e.item.id)}={}){const t={},n=new Kc["default"]({data(){return{store:t}}});return{data(){return{idState:null}},created(){this.$_id=null,this.$_getId="function"===typeof e?()=>e.call(this,this):()=>this[e],this.$watch(this.$_getId,{handler(e){this.$nextTick((()=>{this.$_id=e}))},immediate:!0}),this.$_updateIdState()},beforeUpdate(){this.$_updateIdState()},methods:{$_idStateInit(e){const i=this.$options.idState;if("function"===typeof i){const a=i.call(this,this);return n.$set(t,e,a),this.$_id=e,a}throw new Error("[mixin IdState] Missing `idState` function on component definition.")},$_updateIdState(){const n=this.$_getId();null==n&&console.warn(`No id found for IdState with idProp: '${e}'.`),n!==this.$_id&&(t[n]||this.$_idStateInit(n),this.idState=t[n])}}}}function Td(e,t){e.component(`${t}recycle-scroller`,nd),e.component(`${t}RecycleScroller`,nd),e.component(`${t}dynamic-scroller`,ud),e.component(`${t}DynamicScroller`,ud),e.component(`${t}dynamic-scroller-item`,vd),e.component(`${t}DynamicScrollerItem`,vd)}const _d={version:"1.1.2",install(e,t){const n=Object.assign({},{installComponents:!0,componentsPrefix:""},t);for(const i in n)"undefined"!==typeof n[i]&&(Zc[i]=n[i]);n.installComponents&&Td(e,n.componentsPrefix)}};let Sd=null;function kd(e){const t=(0,bn.RL)((0,bn.hr)(e));return new RegExp(t,"ig")}"undefined"!==typeof window?Sd=window.Vue:"undefined"!==typeof n.g&&(Sd=n.g.Vue),Sd&&Sd.use(_d);var Cd,wd,xd=function(){var e=this,t=e._self._c;return t("BaseNavigatorCardItem",{class:{expanded:e.expanded,active:e.isActive,"is-group":e.isGroupMarker},style:{"--nesting-index":e.item.depth},attrs:{"data-nesting-index":e.item.depth,id:`container-${e.item.uid}`,"aria-hidden":e.isRendered?null:"true",hideNavigatorIcon:e.isGroupMarker},nativeOn:{keydown:[function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"left",37,t.key,["Left","ArrowLeft"])||"button"in t&&0!==t.button?null:(t.preventDefault(),e.handleLeftKeydown.apply(null,arguments))},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"right",39,t.key,["Right","ArrowRight"])||"button"in t&&2!==t.button||t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:(t.preventDefault(),e.handleRightKeydown.apply(null,arguments))},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"enter",13,t.key,"Enter")?null:(t.preventDefault(),e.clickReference.apply(null,arguments))},function(t){return!t.type.indexOf("key")&&e._k(t.keyCode,"right",39,t.key,["Right","ArrowRight"])?null:t.altKey?"button"in t&&2!==t.button?null:(t.preventDefault(),e.toggleEntireTree.apply(null,arguments)):null}]},scopedSlots:e._u([{key:"depth-spacer",fn:function(){return[t("span",{attrs:{hidden:"",id:e.usageLabel}},[e._v(" "+e._s(e.$t("filter.navigate"))+" ")]),e.isParent?t("button",{staticClass:"tree-toggle",attrs:{tabindex:"-1","aria-labelledby":e.item.uid,"aria-expanded":e.expanded?"true":"false","aria-describedby":e.ariaDescribedBy},on:{click:[function(t){return t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:(t.preventDefault(),e.toggleTree.apply(null,arguments))},function(t){return t.altKey?(t.preventDefault(),e.toggleEntireTree.apply(null,arguments)):null},function(t){return t.metaKey?(t.preventDefault(),e.toggleSiblings.apply(null,arguments)):null}]}},[t("InlineChevronRightIcon",{staticClass:"icon-inline chevron",class:{rotate:e.expanded,animating:e.idState.isOpening}})],1):e._e()]},proxy:!0},{key:"navigator-icon",fn:function({className:n}){return[e.apiChange?t("span",{class:[{[`changed changed-${e.apiChange}`]:e.apiChange},n]}):t("TopicTypeIcon",{key:e.item.uid,class:n,attrs:{type:e.item.type,"image-override":e.item.icon?e.navigatorReferences[e.item.icon]:null,shouldCalculateOptimalWidth:!1}})]}},{key:"title-container",fn:function(){return[e.isParent?t("span",{attrs:{hidden:"",id:e.parentLabel}},[e._v(e._s(e.$tc("filter.parent-label",e.item.childUIDs.length,{"number-siblings":e.item.index+1,"total-siblings":e.item.siblingsCount,"parent-siblings":e.item.parent,"number-parent":e.item.childUIDs.length})))]):e._e(),e.isParent?e._e():t("span",{attrs:{id:e.siblingsLabel,hidden:""}},[e._v(" "+e._s(e.$t("filter.siblings-label",{"number-siblings":e.item.index+1,"total-siblings":e.item.siblingsCount,"parent-siblings":e.item.parent}))+" ")]),t(e.refComponent,{ref:"reference",tag:"component",staticClass:"leaf-link",class:{bolded:e.isBold},attrs:{id:e.item.uid,url:e.isGroupMarker?null:e.item.path||"",tabindex:e.isFocused?"0":"-1","aria-describedby":`${e.ariaDescribedBy} ${e.usageLabel}`},nativeOn:{click:[function(t){return t.ctrlKey||t.shiftKey||t.altKey||t.metaKey?null:e.handleClick.apply(null,arguments)},function(t){return t.altKey?(t.preventDefault(),e.toggleEntireTree.apply(null,arguments)):null}]}},[t("HighlightMatches",{attrs:{text:e.item.title,matcher:e.filterPattern}})],1),e.isDeprecated?t("Badge",{attrs:{variant:"deprecated"}}):e.isBeta?t("Badge",{attrs:{variant:"beta"}}):e._e()]},proxy:!0},{key:"content-container",fn:function(){return[e._t("card-item-content")]},proxy:!0}],null,!0)})},Id=[],$d=function(){var e=this,t=e._self._c;return t("div",{staticClass:"navigator-card-item"},[t("div",{staticClass:"head-wrapper"},[t("div",{staticClass:"depth-spacer"},[e._t("depth-spacer")],2),e.hideNavigatorIcon?e._e():t("div",{staticClass:"navigator-icon-wrapper"},[e._t("navigator-icon",null,{className:"navigator-icon"})],2),t("div",{staticClass:"title-container"},[e._t("title-container")],2),t("div",{staticClass:"content-container"},[e._t("content-container")],2)])])},Dd=[],Pd={name:"BaseNavigatorCardItem",props:{hideNavigatorIcon:{type:Boolean,default:()=>!1}}},Ld=Pd,Od=(0,j.Z)(Ld,$d,Dd,!1,null,"5e71f320",null),Ad=Od.exports,Nd={name:"HighlightMatch",props:{text:{type:String,required:!0},matcher:{type:RegExp,default:void 0}},render(e){const{matcher:t,text:n}=this;if(!t)return e("p",{class:"highlight"},n);const i=[];let a=0,s=null;const r=new RegExp(t,"gi");while(null!==(s=r.exec(n))){const t=s[0].length,r=s.index+t,o=n.slice(a,s.index);o&&i.push(e("span",o));const l=n.slice(s.index,r);l&&i.push(e("span",{class:"match"},l)),a=r}const o=n.slice(a,n.length);return o&&i.push(e("span",o)),e("p",{class:"highlight"},i)}},Rd=Nd,Bd=(0,j.Z)(Rd,Cd,wd,!1,null,"7b81ca08",null),Ed=Bd.exports,Md={name:"NavigatorCardItem",mixins:[bd({idProp:e=>e.item.uid})],components:{BaseNavigatorCardItem:Ad,HighlightMatches:Ed,TopicTypeIcon:Ce.Z,InlineChevronRightIcon:Pr.Z,Reference:Va.Z,Badge:qi.Z},props:{isRendered:{type:Boolean,default:!1},item:{type:Object,required:!0},expanded:{type:Boolean,default:!1},filterPattern:{type:RegExp,default:void 0},filterText:{type:String,default:null},isActive:{type:Boolean,default:!1},isBold:{type:Boolean,default:!1},apiChange:{type:String,default:null,validator:e=>qt.UG.includes(e)},isFocused:{type:Boolean,default:()=>!1},enableFocus:{type:Boolean,default:!0},navigatorReferences:{type:Object,default:()=>({})}},idState(){return{isOpening:!1}},computed:{isGroupMarker:({item:{type:e}})=>e===we.t.groupMarker,isParent:({item:e,isGroupMarker:t})=>!!e.childUIDs.length&&!t,parentLabel:({item:e})=>`label-parent-${e.uid}`,siblingsLabel:({item:e})=>`label-${e.uid}`,usageLabel:({item:e})=>`usage-${e.uid}`,ariaDescribedBy:({isParent:e,parentLabel:t,siblingsLabel:n})=>e?`${t}`:`${n}`,isBeta:({item:{beta:e}})=>!!e,isDeprecated:({item:{deprecated:e}})=>!!e,refComponent:({isGroupMarker:e})=>e?"h3":Va.Z},methods:{toggleTree(){this.idState.isOpening=!0,this.$emit("toggle",this.item)},toggleEntireTree(){this.idState.isOpening=!0,this.$emit("toggle-full",this.item)},toggleSiblings(){this.idState.isOpening=!0,this.$emit("toggle-siblings",this.item)},handleLeftKeydown(){this.expanded?this.toggleTree():this.$emit("focus-parent",this.item)},handleRightKeydown(){!this.expanded&&this.isParent&&this.toggleTree()},clickReference(){(this.$refs.reference.$el||this.$refs.reference).click()},focusReference(){(this.$refs.reference.$el||this.$refs.reference).focus()},handleClick(){this.isGroupMarker||this.$emit("navigate",this.item.uid)}},watch:{async isFocused(e){await(0,Ee.J)(8),e&&this.isRendered&&this.enableFocus&&this.focusReference()},async expanded(){await(0,Ee.J)(9),this.idState.isOpening=!1}}},zd=Md,Kd=(0,j.Z)(zd,xd,Id,!1,null,"5148de22",null),Zd=Kd.exports,qd=function(){var e=this,t=e._self._c;return t("div",{staticClass:"navigator-card"},[t("div",{staticClass:"navigator-card-full-height"},[t("div",{staticClass:"navigator-card-inner"},[t("div",{staticClass:"head-wrapper"},[e._t("above-navigator-head"),t("div",{staticClass:"head-inner"},[e._t("navigator-head"),t("button",{staticClass:"close-card",attrs:{id:e.SIDEBAR_HIDE_BUTTON_ID,"aria-label":e.$t("navigator.close-navigator")},on:{click:e.handleHideClick}},[t("InlineCloseIcon",{staticClass:"icon-inline close-icon"})],1)],2)],2),e._t("body",null,{className:"card-body"})],2)])])},jd=[],Fd=n(7181),Hd={name:"BaseNavigatorCard",components:{InlineCloseIcon:Fd.Z},data(){return{SIDEBAR_HIDE_BUTTON_ID:wl}},methods:{async handleHideClick(){this.$emit("close"),await this.$nextTick();const e=document.getElementById(Ul.Yj);e&&e.focus()}}},Vd=Hd,Wd=(0,j.Z)(Vd,qd,jd,!1,null,"584a744a",null),Ud=Wd.exports;const Qd={sampleCode:"filter.tags.sample-code",tutorials:"filter.tags.tutorials",articles:"filter.tags.articles",webServiceEndpoints:"filter.tags.web-service-endpoints"},Gd=qt.Ag,Xd={...Qd,...Gd,hideDeprecated:"filter.tags.hide-deprecated"},Yd={[we.t.article]:Xd.articles,[we.t.learn]:Xd.tutorials,[we.t.overview]:Xd.tutorials,[we.t.resources]:Xd.tutorials,[we.t.sampleCode]:Xd.sampleCode,[we.t.section]:Xd.tutorials,[we.t.tutorial]:Xd.tutorials,[we.t.project]:Xd.tutorials,[we.t.httpRequest]:Xd.webServiceEndpoints};var Jd={computed:{filteredChildren:({children:e,selectedTags:t,apiChanges:n,filterPattern:i,filterChildren:a})=>a(e,t,n,i),navigatorItems:({nodesToRender:e})=>e},methods:{filterChildren(e,t,n,i){const a=new Set(t);return e.filter((({title:e,path:t,type:s,deprecated:r,deprecatedChildrenCount:o,childUIDs:l})=>{const c=!i||i.test(e),d=r||o===l.length;let u=!0;if(a.size){if(u=a.has(Yd[s]),n&&!u){const e=n[t];u=a.has(Xd[e])}a.has(Xd.hideDeprecated)&&(u=!d)}const h=!n||!!n[t];return c&&u&&h}))}}},eu={name:"TagsDataProvider",constants:{TOPIC_TYPE_TO_TAG:Yd},props:{shouldTruncateTags:{type:Boolean,default:!1}},computed:{availableTags:({renderableChildNodesMap:e,apiChangesObject:t,extractTags:n})=>n(e,t),suggestedTags({availableTags:e,selectedTags:t,hideAvailableTags:n}){return n||t.length?[]:e},translatableTags:({availableTags:e})=>[Xd.hideDeprecated,...e]},methods:{extractTags(e,t){const n=new Set(Object.values(Qd)),i={type:[],changes:[],other:[]},a=new Set(Object.values(t));a.size?a.forEach((e=>{n.add(Xd[e])})):n.add(Xd.hideDeprecated);for(const s in e){if(!Object.hasOwnProperty.call(e,s))continue;if(!n.size)break;const{type:a,path:r,deprecated:o}=e[s],l=Yd[a];l&&n.has(l)&&(i.type.push(l),n.delete(l));const c=t[r];c&&n.has(Xd[c])&&(i.changes.push(Xd[c]),n.delete(Xd[c])),o&&n.has(Xd.hideDeprecated)&&(i.other.push(Xd.hideDeprecated),n.delete(Xd.hideDeprecated))}return Object.values(i).flat()}}};const tu="navigator.state",nu="navigator.no-results",iu="navigator.no-children",au="navigator.error-fetching",su="navigator.items-found";var ru={name:"NavigatorCard",constants:{STORAGE_KEY:tu,ERROR_FETCHING:au,ITEMS_FOUND:su},components:{FilterInput:Jo,NavigatorCardItem:Zd,DynamicScroller:ud,DynamicScrollerItem:vd,BaseNavigatorCard:Ud,Reference:Va.Z,Badge:qi.Z},props:{technologyPath:{type:String,default:""},children:{type:Array,required:!0},technology:{type:String,required:!1},activePath:{type:Array,required:!0},type:{type:String,required:!0},scrollLockID:{type:String,default:""},errorFetching:{type:Boolean,default:!1},apiChanges:{type:Object,default:null},isTechnologyBeta:{type:Boolean,default:!1},navigatorReferences:{type:Object,default:()=>{}},renderFilterOnTop:{type:Boolean,default:!1},hideAvailableTags:{type:Boolean,default:!1}},mixins:[Oo,Jd,eu],data(){return{filter:"",debouncedFilter:"",selectedTags:[],openNodes:Object.freeze({}),nodesToRender:Object.freeze([]),activeUID:null,lastFocusTarget:null,allNodesToggled:!1,INDEX_ROOT_KEY:kl}},computed:{isTechnologyRoute:({technologyPath:e,$route:t})=>e.toLowerCase()===t.path.toLowerCase(),politeAriaLive(){const{hasNodes:e,navigatorItems:t}=this;return e?this.$tc(su,t.length,{number:t.length}):""},assertiveAriaLive:({hasNodes:e,hasFilter:t,errorFetching:n})=>e?"":t?nu:n?au:iu,filterPattern:({debouncedFilter:e})=>e?new RegExp(kd(e),"i"):null,itemSize:()=>Cl,childrenMap({children:e}){return Il(e)},activePathChildren({activeUID:e,childrenMap:t}){return e&&t[e]?Ll(e,t):[]},activePathMap:({activePathChildren:e})=>Object.fromEntries(e.map((({uid:e})=>[e,!0]))),activeIndex:({activeUID:e,navigatorItems:t})=>t.findIndex((t=>t.uid===e)),renderableChildNodesMap({hasFilter:e,childrenMap:t,deprecatedHidden:n,filteredChildren:i,removeDeprecated:a}){if(!e)return t;const s=i.length-1,r=new Set([]);for(let o=s;o>=0;o-=1){const e=i[o],s=t[e.groupMarkerUID];if(s&&r.add(s),r.has(e))continue;if(r.has(t[e.parent])&&e.type!==we.t.groupMarker){r.add(e);continue}let l=[];e.childUIDs.length&&(l=a(Dl(e.uid,t),n)),l.concat(Ll(e.uid,t)).forEach((e=>r.add(e)))}return Il([...r])},nodeChangeDeps:({filteredChildren:e,activePathChildren:t,debouncedFilter:n,selectedTags:i})=>[e,t,n,i],hasFilter({debouncedFilter:e,selectedTags:t,apiChanges:n}){return Boolean(e.length||t.length||n)},deprecatedHidden:({selectedTags:e})=>e[0]===Xd.hideDeprecated,apiChangesObject(){return this.apiChanges||{}},hasNodes:({navigatorItems:e})=>!!e.length,totalItemsToNavigate:({navigatorItems:e})=>e.length,lastActivePathItem:({activePath:e})=>(0,N.Z$)(e)},created(){this.restorePersistedState()},watch:{filter:"debounceInput",nodeChangeDeps:"trackOpenNodes",activePath:"handleActivePathChange",apiChanges(e){e||(this.selectedTags=this.selectedTags.filter((e=>!Object.values(Gd).includes(e))))},async activeUID(e,t){await this.$nextTick();const n=this.$refs[`dynamicScroller_${t}`];n&&n.updateSize&&n.updateSize()}},methods:{setUnlessEqual(e,t){(0,N.Xy)(t,this[e])||(this[e]=Object.freeze(t))},toggleAllNodes(){const e=this.children.filter((e=>e.parent===kl&&e.type!==we.t.groupMarker&&e.childUIDs.length));this.allNodesToggled=!this.allNodesToggled,this.allNodesToggled&&(this.openNodes={},this.generateNodesToRender()),e.forEach((e=>{this.toggleFullTree(e)}))},clearFilters(){this.filter="",this.debouncedFilter="",this.selectedTags=[]},scrollToFocus(){this.$refs.scroller.scrollToItem(this.focusedIndex)},debounceInput:vo((function(e){this.debouncedFilter=e,this.lastFocusTarget=null}),200),trackOpenNodes([e,t,n,i],[,a=[],s="",r=[]]=[]){if(n!==s&&!s&&this.getFromStorage("filter")||!(0,N.Xy)(i,r)&&!r.length&&this.getFromStorage("selectedTags",[]).length)return;const o=!(0,N.Xy)(a,t),{childrenMap:l}=this;let c=t;if(!(this.deprecatedHidden&&!this.debouncedFilter.length||o&&this.hasFilter)&&this.hasFilter){const t=new Set,n=e.length-1;for(let i=n;i>=0;i-=1){const n=e[i];t.has(l[n.parent])||t.has(n)||Ll(n.uid,l).slice(0,-1).forEach((e=>t.add(e)))}c=[...t]}const 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e.$emit("close")}},scopedSlots:e._u([{key:"body",fn:function({className:n}){return[t("transition",{attrs:{name:"delay-visibility"}},[t("div",{staticClass:"loading-navigator",class:n,attrs:{"aria-hidden":"true"}},e._l(e.LOADER_ROWS,(function(e,n){return t("LoadingNavigatorItem",{key:n,attrs:{index:n,width:e.width,hideNavigatorIcon:e.hideNavigatorIcon}})})),1)])]}}])},"BaseNavigatorCard",e.$props,!1))},uu=[],hu=function(){var e=this,t=e._self._c;return t("BaseNavigatorCardItem",{staticClass:"loading-navigator-item",style:`--index: ${e.index};`,attrs:{hideNavigatorIcon:e.hideNavigatorIcon},scopedSlots:e._u([{key:"navigator-icon",fn:function({className:e}){return[t("div",{class:e})]}},{key:"title-container",fn:function(){return[t("div",{staticClass:"loader",style:{width:e.width}})]},proxy:!0}])})},pu=[],gu={name:"LoadingNavigatorItem",components:{BaseNavigatorCardItem:Ad},props:{...Ad.props,index:{type:Number,default:0},width:{type:String,default:"50%"}}},fu=gu,mu=(0,j.Z)(fu,hu,pu,!1,null,"0de29914",null),yu=mu.exports;const vu=[{width:"30%",hideNavigatorIcon:!0},{width:"80%"},{width:"50%"}];var bu,Tu,_u={name:"LoadingNavigatorCard",components:{BaseNavigatorCard:Ud,LoadingNavigatorItem:yu},data(){return{LOADER_ROWS:vu}}},Su=_u,ku=(0,j.Z)(Su,du,uu,!1,null,"3b7cf3a4",null),Cu=ku.exports,wu={name:"Navigator",components:{NavigatorCard:cu,LoadingNavigatorCard:Cu},data(){return{INDEX_ROOT_KEY:kl}},props:{flatChildren:{type:Array,required:!0},parentTopicIdentifiers:{type:Array,required:!0},technology:{type:Object,required:!1},isFetching:{type:Boolean,default:!1},references:{type:Object,default:()=>{}},navigatorReferences:{type:Object,default:()=>{}},scrollLockID:{type:String,default:""},errorFetching:{type:Boolean,default:!1},renderFilterOnTop:{type:Boolean,default:!1},apiChanges:{type:Object,default:null}},computed:{parentTopicReferences({references:e,parentTopicIdentifiers:t}){return t.reduce(((t,n)=>{const i=e[n];return i?t.concat(i):(console.error(`Reference for "${n}" is missing`),t)}),[])},activePath({parentTopicReferences:e,$route:{path:t}}){if(t=t.replace(/\/$/,"").toLowerCase(),!e.length)return[t];let n=1;return"technologies"===e[0].kind&&(n=2),e.slice(n).map((e=>e.url)).concat(t)},type:()=>we.t.module,technologyProps:({technology:e})=>e?{technology:e.title,technologyPath:e.path||e.url,isTechnologyBeta:e.beta}:null}},xu=wu,Iu=(0,j.Z)(xu,lc,cc,!1,null,"7c66a058",null),$u=Iu.exports,Du=n(5184),Pu={name:"NavigatorDataProvider",props:{interfaceLanguage:{type:String,default:D.Z.swift.key.url},technologyUrl:{type:String,default:""},apiChangesVersion:{type:String,default:""}},data(){return{isFetching:!1,errorFetching:!1,isFetchingAPIChanges:!1,navigationIndex:{[D.Z.swift.key.url]:[]},navigationReferences:{},diffs:null}},computed:{flatChildren:({technologyWithChildren:e={}})=>$l(e.children||[],null,0,e.beta),technologyPath:({technologyUrl:e})=>{const t=/(\/documentation\/(?:[^/]+))\/?/.exec(e);return t?t[1]:""},technologyWithChildren({navigationIndex:e,interfaceLanguage:t,technologyPath:n}){let i=e[t]||[];i.length||(i=e[D.Z.swift.key.url]||[]);const a=i.find((e=>n.toLowerCase()===e.path.toLowerCase()));return a??i[0]}},methods:{async fetchIndexData(){try{this.isFetching=!0;const{includedArchiveIdentifiers:e=[],interfaceLanguages:t,references:n}=await(0,x.LR)({slug:this.$route.params.locale||""});this.navigationIndex=Object.freeze(t),this.navigationReferences=Object.freeze(n),R["default"].setIncludedArchiveIdentifiers(e)}catch(bh){this.errorFetching=!0}finally{this.isFetching=!1}}},watch:{"$route.params.locale":{handler:"fetchIndexData",immediate:!0}},render(){return this.$scopedSlots.default({technology:this.technologyWithChildren,isFetching:this.isFetching,errorFetching:this.errorFetching,isFetchingAPIChanges:this.isFetchingAPIChanges,apiChanges:this.diffs,flatChildren:this.flatChildren,references:this.navigationReferences})}},Lu=Pu,Ou=(0,j.Z)(Lu,bu,Tu,!1,null,null,null),Au=Ou.exports,Nu=function(){var e=this,t=e._self._c;return t("NavBase",{staticClass:"documentation-nav",attrs:{breakpoint:e.BreakpointName.medium,hasOverlay:!1,hasNoBorder:e.hasNoBorder,isDark:e.isDark,isWideFormat:"",hasFullWidthBorder:"","aria-label":e.$t("api-reference"),showActions:e.hasMenuItems},scopedSlots:e._u([e.displaySidenav?{key:"pre-title",fn:function({closeNav:n,isOpen:i,currentBreakpoint:a,className:s}){return[t("div",{class:s},[t("div",{staticClass:"sidenav-toggle-wrapper"},[t("button",{staticClass:"sidenav-toggle",attrs:{"aria-label":e.$t("navigator.open-navigator"),id:e.baseNavOpenSidenavButtonId,tabindex:i?-1:null},on:{click:function(t){return 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t("li",{key:n.api,staticClass:"language-list-item"},[n.api===e.languageModel?t("span",{staticClass:"current-language",attrs:{"data-language":n.api,"aria-current":"page"}},[e._v(" "+e._s(n.name)+" ")]):t("a",{staticClass:"nav-menu-link",attrs:{href:"#"},on:{click:function(t){return t.preventDefault(),e.pushRoute(n.route)}}},[e._v(" "+e._s(n.name)+" ")])])})),0)]):e._e()])},Fu=[],Hu=n(5151),Vu={name:"LanguageToggle",components:{InlineChevronDownIcon:Hu.Z,NavMenuItemBase:Dr.Z},inject:{store:{default(){return{setPreferredLanguage(){}}}}},props:{interfaceLanguage:{type:String,required:!0},objcPath:{type:String,required:!1},swiftPath:{type:String,required:!1},closeNav:{type:Function,default:()=>{}}},data(){return{languageModel:null,adjustedWidth:0}},mounted(){const e=Be((async()=>{await(0,Ee.J)(3),this.calculateSelectWidth()}),150);window.addEventListener("resize",e),window.addEventListener("orientationchange",e),this.$once("hook:beforeDestroy",(()=>{window.removeEventListener("resize",e),window.removeEventListener("orientationchange",e)}))},watch:{interfaceLanguage:{immediate:!0,handler(e){this.languageModel=e}},currentLanguage:{immediate:!0,handler:"calculateSelectWidth"}},methods:{getRoute(e){const t=e.query===D.Z.swift.key.url?void 0:e.query;return{query:{...this.$route.query,language:t},path:this.isCurrentPath(e.path)?null:(0,A.Jf)(e.path)}},async pushRoute(e){await this.closeNav(),this.store.setPreferredLanguage(e.query),this.$router.push(this.getRoute(e))},isCurrentPath(e){return this.$route.path.replace(/^\//,"")===e},async calculateSelectWidth(){await this.$nextTick(),this.adjustedWidth=this.$refs["language-sizer"].clientWidth+8}},computed:{languages(){return[{name:D.Z.swift.name,api:D.Z.swift.key.api,route:{path:this.swiftPath,query:D.Z.swift.key.url}},{name:D.Z.objectiveC.name,api:D.Z.objectiveC.key.api,route:{path:this.objcPath,query:D.Z.objectiveC.key.url}}]},currentLanguage:({languages:e,languageModel:t})=>e.find((e=>e.api===t)),hasLanguages:({objcPath:e,swiftPath:t})=>t&&e}},Wu=Vu,Uu=(0,j.Z)(Wu,ju,Fu,!1,null,"4323807e",null),Qu=Uu.exports,Gu={name:"DocumentationNav",components:{SidenavIcon:qu,NavBase:Bu.Z,NavMenuItems:rr.Z,LanguageToggle:Qu},props:{isDark:{type:Boolean,default:!1},hasNoBorder:{type:Boolean,default:!1},interfaceLanguage:{type:String,required:!1},objcPath:{type:String,required:!1},swiftPath:{type:String,required:!1},displaySidenav:{type:Boolean,default:!1}},computed:{baseNavOpenSidenavButtonId:()=>Ul.Yj,BreakpointName:()=>or.L3,hasLanguageToggle:({interfaceLanguage:e,swiftPath:t,objcPath:n})=>!(!e||!t&&!n),hasMenuItems:({hasLanguageToggle:e,$slots:t})=>!(!e&&!t["menu-items"])},methods:{async 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