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"{ Encoding: utf8 }"
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5278
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"{ Package: 'stx:libbasic2' }"
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"{ NameSpace: Smalltalk }"
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LimitedPrecisionReal variableByteSubclass:#IEEEFloat
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instanceVariableNames:'exponentSize'
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classVariableNames:''
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poolDictionaries:''
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category:'Magnitude-Numbers'
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!
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!IEEEFloat class methodsFor:'documentation'!
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documentation
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"
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Unfinished, ongoing work
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soft float emulation for arbitrary IEEE float formats.
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This is very very slow and should only be used when importing
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funny sized floating point numbers (such as float24 or float8) from
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external sources, or to simulate computations on otherwise unsupported floating pnt numbers.
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"
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! !
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!IEEEFloat class methodsFor:'instance creation'!
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fromFloat:aFloat
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|nB f|
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nB := aFloat byteSize.
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f := self basicNew:nB.
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1 to:nB do:[:i |
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f basicAt:i put:(aFloat byteAt:i)
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].
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f exponentSize:(aFloat numBitsInExponent).
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^ f
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"
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self fromFloat:1.0
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self fromFloat:2.0
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self fromFloat:1.0 asShortFloat
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self fromFloat:2.0 asShortFloat
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self fromFloat:1.0 asLongFloat
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self fromFloat:2.0 asLongFloat
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"
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!
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size:numBits exponentSize:exponentSize
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^ (self basicNew:(numBits // 8)) exponentSize:exponentSize
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"
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self size:256 exponentSize:19
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self size:16 exponentSize:5
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self size:(1.0 basicSize * 8) exponentSize:(1.0 numBitsInExponent)
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"
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!
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size:numBits exponentSize:exponentSize fraction:anInteger exponent:exp signBit:signBit
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^ ((self basicNew:(numBits // 8)) exponentSize:exponentSize)
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setFraction:anInteger exponent:exp signBit:signBit
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"
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self size:256 exponentSize:19 fromInteger:1
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self size:256 exponentSize:19 fromInteger:2
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"
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!
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size:numBits exponentSize:exponentSize fromFloat:aFloat
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^ ((self basicNew:(numBits // 8)) exponentSize:exponentSize) setValueFromFloat:aFloat
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"
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self size:256 exponentSize:19 fromFloat:1.0
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self size:256 exponentSize:19 fromFloat:2.0
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"
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!
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size:numBits exponentSize:exponentSize fromInteger:anInteger
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^ ((self basicNew:(numBits // 8)) exponentSize:exponentSize) setValueFromInteger:anInteger
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"
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self size:256 exponentSize:19 fromInteger:1
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self size:256 exponentSize:19 fromInteger:2
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"
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! !
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!IEEEFloat class methodsFor:'coercing & converting'!
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coerce:aNumber
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"convert the argument aNumber into an instance of the receiver (class) and return it."
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^ aNumber asIEEEFloat
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! !
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!IEEEFloat class methodsFor:'constants'!
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unity
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^ 1.0
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!
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zero
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^ 0.0
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! !
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!IEEEFloat methodsFor:'accessing'!
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exponentBits
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"return the bits of my exponent.
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These might be biased.
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My bytes are stored LSB first; thus we have to fetch the high exponent bytes."
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|nBytes nExpBytes e|
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nBytes := self basicSize.
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nExpBytes := (exponentSize + 7) // 8.
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"/ seee eeee eeee mmmm mmmm ....
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e := (self basicAt:nBytes) bitAnd:16r7F.
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2 to:nExpBytes do:[:eI |
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e := (e bitShift:8) bitOr:(self basicAt:nBytes + 1 - eI)
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].
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"/ 0eee eeee eeee mmmm
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e := e rightShift:(nExpBytes * 8) - 1 "sign" - exponentSize.
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"/ 0000 0eee eeee eeee
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^ e
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"
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(self size:32 exponentSize:8) inspect.
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"
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"construct a soft-shortFloat
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|f sf|
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sf := 1.0 asShortFloat.
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f := self size:(sf basicSize * 8) exponentSize:(sf numBitsInExponent).
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1 to:sf basicSize do:[:i | f basicAt:i put:(sf basicAt:i)].
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f inspect
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"
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"Modified: 12.2.1997 / 16:45:27 / cg"
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!
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exponentSize
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^ exponentSize
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exponentSize:something
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exponentSize := something.
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!
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mantissaBits
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"return the bits of my mantissa (incl. the hidden bit).
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My bytes are stored LSB first."
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|bits hiddenBit mask c|
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bits := self digitBytes asIntegerMSB:false.
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bits == 0 ifTrue:[^ 0].
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hiddenBit := (1 bitShift:self numBitsInMantissa).
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mask := hiddenBit-1.
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c := bits bitAnd:mask.
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"/ TODO: care for subnormals (exponent = 0)!!
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^ c bitOr:hiddenBit.
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"
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(self size:32 exponentSize:8) inspect.
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"
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"construct a soft-shortFloat
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|f sf|
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sf := 1.0 asShortFloat.
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f := self size:(sf basicSize * 8) exponentSize:(sf numBitsInExponent).
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1 to:sf basicSize do:[:i | f basicAt:i put:(sf basicAt:i)].
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f inspect
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"
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"Modified: 12.2.1997 / 16:45:27 / cg"
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!
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setFraction:fraction exponent:exponent signBit:signBit
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|bits|
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bits := (fraction
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bitOr:(exponent bitShift:self numBitsInMantissa))
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bitOr:(signBit bitShift:(self basicSize * 8) - 1).
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1 to:self basicSize do:[:i | self basicAt:i put:(bits digitAt:i)].
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"
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(self size:64 exponentSize:11) setFraction:0 exponent:1024 signBit:0
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"
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!
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setValueFromInteger:intValue
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"/ how many bits are there, in this int
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|absValue myNumBits numBitsInNumber shift|
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absValue := intValue abs.
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numBitsInNumber := absValue highBit.
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myNumBits := (self basicSize * 8) - 1 "sign" - exponentSize.
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shift := myNumBits - numBitsInNumber.
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numBitsInNumber > myNumBits ifTrue:[
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self halt.
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] ifFalse:[
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"/ number:
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"/ 1xxxxxxx...xxxxx
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"/ myRep:
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"/ seee...eeexxxxxxxxxx
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absValue digitLength to:1 by:-1 do:[:byteIndex |
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].
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].
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"/ cut off some bits
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"Float numBitsInExponent
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self size:16 exponentSize:4 fromInteger:1
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self size:32 exponentSize:11 fromInteger:1
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self size:256 exponentSize:19 fromInteger:1
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self size:256 exponentSize:19 fromInteger:2
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"
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! !
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!IEEEFloat methodsFor:'arithmetic'!
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* aNumber
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thisContext isRecursive ifTrue:[self halt].
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^ aNumber productFromIEEEFloat:self
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!
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+ aNumber
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thisContext isRecursive ifTrue:[self halt].
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^ aNumber sumFromIEEEFloat:self
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"
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(-2.0 asIEEEFloat)
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(2.0 asIEEEFloat)
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self assert:((4.0 asIEEEFloat) + (2.0 asIEEEFloat)) = (6.0 asIEEEFloat)
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self assert:((4.0 asIEEEFloat) + (-2.0 asIEEEFloat)) = (2.0 asIEEEFloat)
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self assert:((-4.0 asIEEEFloat) + (-2.0 asIEEEFloat)) = (-6.0 asIEEEFloat)
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self assert:((-4.0 asIEEEFloat) + (2.0 asIEEEFloat)) = (-2.0 asIEEEFloat)
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self assert:((2.0 asIEEEFloat) + (4.0 asIEEEFloat)) = (6.0 asIEEEFloat)
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self assert:((2.0 asIEEEFloat) + (-4.0 asIEEEFloat)) = (-2.0 asIEEEFloat)
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self assert:((-2.0 asIEEEFloat) + (-4.0 asIEEEFloat)) = (-6.0 asIEEEFloat)
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self assert:((-2.0 asIEEEFloat) + (4.0 asIEEEFloat)) = (2.0 asIEEEFloat)
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self assert:((IEEEFloat fromFloat:0.1) + (IEEEFloat fromFloat:-0.1)) = (IEEEFloat fromFloat:0.0)
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self assert:((IEEEFloat fromFloat:-0.1) + (IEEEFloat fromFloat:0.1)) = (IEEEFloat fromFloat:0.0)
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"
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!
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- aNumber
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thisContext isRecursive ifTrue:[self halt].
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^ aNumber differenceFromIEEEFloat:self
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"
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self assert:((4.0 asIEEEFloat) - (2.0 asIEEEFloat)) = (2.0 asIEEEFloat)
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self assert:((4.0 asIEEEFloat) - (-2.0 asIEEEFloat)) = (6.0 asIEEEFloat)
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self assert:((-4.0 asIEEEFloat) - (-2.0 asIEEEFloat)) = (-2.0 asIEEEFloat)
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self assert:((-4.0 asIEEEFloat) - (2.0 asIEEEFloat)) = (-6.0 asIEEEFloat)
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self assert:((2.0 asIEEEFloat) - (4.0 asIEEEFloat)) = (-2.0 asIEEEFloat)
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self assert:((2.0 asIEEEFloat) - (-4.0 asIEEEFloat)) = (6.0 asIEEEFloat)
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self assert:((-2.0 asIEEEFloat) - (-4.0 asIEEEFloat)) = (2.0 asIEEEFloat)
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self assert:((-2.0 asIEEEFloat) - (4.0 asIEEEFloat)) = (-6.0 asIEEEFloat)
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self assert:((IEEEFloat fromFloat:0.1) - (IEEEFloat fromFloat:0.1)) = (IEEEFloat fromFloat:0.0)
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self assert:((IEEEFloat fromFloat:0.1) - (IEEEFloat fromFloat:-0.1)) = (IEEEFloat fromFloat:0.2)
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self assert:((IEEEFloat fromFloat:-0.1) - (IEEEFloat fromFloat:-0.1)) = (IEEEFloat fromFloat:0.0)
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"
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!
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/ aNumber
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thisContext isRecursive ifTrue:[self halt].
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^ aNumber quotientFromIEEEFloat:self
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!
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negated
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|f highByte|
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f := self copy.
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highByte := self basicAt:(self basicSize).
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f basicAt:(self basicSize) put:(highByte bitXor:16r80).
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^ f.
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"
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self assert:(IEEEFloat fromFloat:2.0) negated = (IEEEFloat fromFloat:-2.0)
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self assert:(IEEEFloat fromFloat:2.0) negated negated = (IEEEFloat fromFloat:2.0)
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self assert:(IEEEFloat fromFloat:-2.0) negated = (IEEEFloat fromFloat:2.0)
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"
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! !
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295 |
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!IEEEFloat methodsFor:'coercing & converting'!
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297 |
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generality
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^ 97 "/ between OctaFloat and LargeFloat
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"
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1 asShortFloat generality 70
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1 asFloat generality 80
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1 asLongFloat generality 90
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1 asQuadFloat generality
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1 asQDouble generality 95
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1 asLargeFloat generality 100
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"
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! !
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310 |
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!IEEEFloat methodsFor:'comparing'!
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312 |
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< aNumber
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self halt.
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thisContext isRecursive ifTrue:[self halt].
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316 |
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^ aNumber lessFromIEEEFloat:self
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!
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= aNumber
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thisContext isRecursive ifTrue:[self halt].
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^ aNumber equalFromIEEEFloat:self
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! !
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324 |
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!IEEEFloat methodsFor:'double dispatching'!
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326 |
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differenceFromIEEEFloat:anIEEEFloat
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328 |
"/ anIEEEFloat - self
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^ self negated sumFromIEEEFloat:anIEEEFloat
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!
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equalFromIEEEFloat:anIEEEFloat
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anIEEEFloat basicSize == self basicSize ifTrue:[
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anIEEEFloat exponentSize == exponentSize ifTrue:[
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1 to:self basicSize do:[:i |
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(self basicAt:i) = (anIEEEFloat basicAt:i) ifFalse:[^ false].
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].
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^ true.
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].
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].
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341 |
"/ more complicated compare
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342 |
self halt.
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^ false.
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344 |
!
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345 |
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346 |
lessFromIEEEFloat:anIEEEFloat
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347 |
||
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348 |
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349 |
anIEEEFloat basicSize == self basicSize ifTrue:[
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].
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351 |
self halt.
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352 |
!
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353 |
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354 |
productFromIEEEFloat:anIEEEFloat
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355 |
"/ anIEEEFloat * self
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356 |
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357 |
|m1 m2 e1 e2 m e signBit nB hi shift|
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358 |
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5331
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359 |
"/ for now:
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|
360 |
self assert:(self numBitsInMantissa == anIEEEFloat numBitsInMantissa).
|
|
|
361 |
|
|
5324
|
362 |
"/ m1 * m2 / e1 + e2
|
|
|
363 |
|
|
|
364 |
m1 := anIEEEFloat mantissaBits.
|
|
|
365 |
m2 := self mantissaBits.
|
|
|
366 |
e1 := anIEEEFloat exponentBits.
|
|
|
367 |
e2 := self exponentBits.
|
|
|
368 |
e := (e1 - anIEEEFloat eBias) + (e2 - self eBias).
|
|
|
369 |
|
|
|
370 |
nB := self numBitsInMantissa. "/ exl. hidden bit
|
|
|
371 |
|
|
|
372 |
"/ 1xxxx....xxxx * 1xxxx....xxxx
|
|
|
373 |
m := m1 * m2.
|
|
|
374 |
"/ now have nB bits too many
|
|
|
375 |
e := e - nB.
|
|
|
376 |
|
|
|
377 |
signBit := (self negative == anIEEEFloat negative) ifTrue:[0] ifFalse:[1].
|
|
|
378 |
m == 0 ifTrue:[self halt].
|
|
|
379 |
|
|
|
380 |
hi := m highBit.
|
|
|
381 |
shift := (nB + 1) - hi.
|
|
|
382 |
m := m bitShift:shift.
|
|
|
383 |
e := e - shift.
|
|
|
384 |
m := m bitAnd:(1 bitShift:nB)-1.
|
|
|
385 |
|
|
|
386 |
e := e + self eBias.
|
|
|
387 |
^ self class
|
|
|
388 |
size:(self basicSize*8) exponentSize:exponentSize
|
|
|
389 |
fraction:m exponent:e signBit:signBit.
|
|
|
390 |
|
|
|
391 |
"
|
|
|
392 |
self assert:((IEEEFloat fromFloat:1.0) * (IEEEFloat fromFloat:1.0)) = (IEEEFloat fromFloat:1.0)
|
|
|
393 |
self assert:((IEEEFloat fromFloat:1.0) * (IEEEFloat fromFloat:1.0)) exponent = 1.0 exponent
|
|
|
394 |
self assert:((IEEEFloat fromFloat:1.0) * (IEEEFloat fromFloat:1.0)) mantissaBits = 1.0 mantissaBits
|
|
|
395 |
|
|
|
396 |
self assert:((4.0 asIEEEFloat) * (2.0 asIEEEFloat)) = (8.0 asIEEEFloat)
|
|
|
397 |
self assert:((-4.0 asIEEEFloat) * (2.0 asIEEEFloat)) = (-8.0 asIEEEFloat)
|
|
|
398 |
self assert:((4.0 asIEEEFloat) * (-2.0 asIEEEFloat)) = (-8.0 asIEEEFloat)
|
|
|
399 |
self assert:((-4.0 asIEEEFloat) * (-2.0 asIEEEFloat)) = (8.0 asIEEEFloat)
|
|
|
400 |
|
|
|
401 |
self assert:((IEEEFloat fromFloat:100.0) * (IEEEFloat fromFloat:100.0)) = (IEEEFloat fromFloat:10000.0)
|
|
|
402 |
self assert:((IEEEFloat fromFloat:1e-20) * (IEEEFloat fromFloat:1e20)) = (IEEEFloat fromFloat:(1e-20 * 1e20))
|
|
|
403 |
"
|
|
|
404 |
!
|
|
|
405 |
|
|
|
406 |
quotientFromIEEEFloat:anIEEEFloat
|
|
|
407 |
"/ anIEEEFloat / self
|
|
|
408 |
|
|
|
409 |
|m1 m2 e1 e2 m e signBit nB hi shift|
|
|
|
410 |
|
|
5331
|
411 |
"/ for now:
|
|
|
412 |
self assert:(self numBitsInMantissa == anIEEEFloat numBitsInMantissa).
|
|
|
413 |
|
|
5324
|
414 |
"/ m1 / m2 / e1 - e2
|
|
|
415 |
|
|
|
416 |
m1 := anIEEEFloat mantissaBits.
|
|
|
417 |
m2 := self mantissaBits.
|
|
|
418 |
e1 := anIEEEFloat exponentBits.
|
|
|
419 |
e2 := self exponentBits.
|
|
|
420 |
e := (e1 - anIEEEFloat eBias) - (e2 - self eBias).
|
|
|
421 |
|
|
|
422 |
nB := self numBitsInMantissa. "/ exl. hidden bit
|
|
|
423 |
|
|
|
424 |
"/ 1xxxx....xxxx / 1xxxx....xxxx
|
|
|
425 |
m := (m1 bitShift:nB) // m2.
|
|
|
426 |
"/ rest := m1 \\ m2.
|
|
|
427 |
|
|
|
428 |
signBit := (self negative == anIEEEFloat negative) ifTrue:[0] ifFalse:[1].
|
|
|
429 |
m == 0 ifTrue:[self halt].
|
|
|
430 |
|
|
|
431 |
hi := m highBit.
|
|
|
432 |
shift := (nB + 1) - hi.
|
|
|
433 |
m := m bitShift:shift.
|
|
|
434 |
e := e - shift.
|
|
|
435 |
m := m bitAnd:(1 bitShift:nB)-1.
|
|
|
436 |
|
|
|
437 |
e := e + self eBias.
|
|
|
438 |
^ self class
|
|
|
439 |
size:(self basicSize*8) exponentSize:exponentSize
|
|
|
440 |
fraction:m exponent:e signBit:signBit.
|
|
|
441 |
|
|
|
442 |
"
|
|
|
443 |
self assert:((IEEEFloat fromFloat:1.0) / (IEEEFloat fromFloat:1.0)) = (IEEEFloat fromFloat:1.0)
|
|
|
444 |
self assert:((IEEEFloat fromFloat:1.0) / (IEEEFloat fromFloat:1.0)) exponent = 1.0 exponent
|
|
|
445 |
self assert:((IEEEFloat fromFloat:1.0) / (IEEEFloat fromFloat:1.0)) mantissaBits = 1.0 mantissaBits
|
|
|
446 |
|
|
|
447 |
self assert:((4.0 asIEEEFloat) / (2.0 asIEEEFloat)) = (2.0 asIEEEFloat)
|
|
|
448 |
self assert:((-4.0 asIEEEFloat) / (2.0 asIEEEFloat)) = (-2.0 asIEEEFloat)
|
|
|
449 |
self assert:((4.0 asIEEEFloat) / (-2.0 asIEEEFloat)) = (-2.0 asIEEEFloat)
|
|
|
450 |
self assert:((-4.0 asIEEEFloat) / (-2.0 asIEEEFloat)) = (2.0 asIEEEFloat)
|
|
|
451 |
|
|
|
452 |
self assert:((IEEEFloat fromFloat:100.0) / (IEEEFloat fromFloat:2.0)) = (IEEEFloat fromFloat:50.0)
|
|
|
453 |
self assert:((IEEEFloat fromFloat:1e-20) / (IEEEFloat fromFloat:1e20)) = (IEEEFloat fromFloat:(1e-20 / 1e20))
|
|
|
454 |
"
|
|
|
455 |
!
|
|
|
456 |
|
|
|
457 |
sumFromIEEEFloat:anIEEEFloat
|
|
|
458 |
"/ anIEEEFloat + self
|
|
|
459 |
|
|
|
460 |
|m1 m2 e1 e2 m e signBit nB hi shift|
|
|
|
461 |
|
|
5331
|
462 |
"/ for now:
|
|
|
463 |
self assert:(self numBitsInMantissa == anIEEEFloat numBitsInMantissa).
|
|
|
464 |
|
|
5324
|
465 |
"/ bring to same exponent, add m1 + m2, normalize
|
|
|
466 |
|
|
|
467 |
m1 := anIEEEFloat mantissaBits. m1 == 0 ifTrue:[^ self].
|
|
|
468 |
m2 := self mantissaBits. m2 == 0 ifTrue:[^ anIEEEFloat].
|
|
5331
|
469 |
e1 := anIEEEFloat exponentBits - anIEEEFloat eBias.
|
|
|
470 |
e2 := self exponentBits - self eBias.
|
|
5324
|
471 |
e := e1.
|
|
|
472 |
e1 = e2 ifFalse:[
|
|
|
473 |
e1 > e2 ifTrue:[
|
|
|
474 |
m2 := m2 rightShift:(e1 - e2).
|
|
|
475 |
e := e1.
|
|
|
476 |
] ifFalse:[
|
|
|
477 |
"/ e2 > e1
|
|
|
478 |
m1 := m1 rightShift:(e2 - e1).
|
|
|
479 |
e := e2.
|
|
|
480 |
]
|
|
|
481 |
].
|
|
|
482 |
|
|
|
483 |
signBit := 0.
|
|
|
484 |
"/ ok, add the mantissae
|
|
|
485 |
self negative ifTrue:[
|
|
|
486 |
anIEEEFloat negative ifTrue:[
|
|
|
487 |
"/ - (anIEEEFloat + self)
|
|
|
488 |
m := m1 + m2.
|
|
|
489 |
signBit := 1.
|
|
|
490 |
] ifFalse:[
|
|
|
491 |
"/ anIEEEFloat - self
|
|
|
492 |
m := m1 - m2
|
|
|
493 |
].
|
|
|
494 |
] ifFalse:[
|
|
|
495 |
anIEEEFloat negative ifTrue:[
|
|
|
496 |
"/ self - anIEEEFloat
|
|
|
497 |
m := m2 - m1.
|
|
|
498 |
] ifFalse:[
|
|
|
499 |
"/ (anIEEEFloat + self)
|
|
|
500 |
m := m1 + m2.
|
|
|
501 |
].
|
|
|
502 |
].
|
|
|
503 |
m == 0 ifTrue:[^ self class zero].
|
|
|
504 |
m < 0 ifTrue:[
|
|
|
505 |
m := m negated.
|
|
|
506 |
signBit := 1-signBit
|
|
|
507 |
].
|
|
|
508 |
|
|
|
509 |
nB := self numBitsInMantissa. "/ exl. hidden bit
|
|
|
510 |
hi := m highBit.
|
|
|
511 |
shift := (nB + 1) - hi.
|
|
|
512 |
m := m bitShift:shift.
|
|
|
513 |
e := e - shift.
|
|
|
514 |
m := m bitAnd:(1 bitShift:nB)-1.
|
|
|
515 |
|
|
|
516 |
^ self class
|
|
|
517 |
size:(self basicSize*8) exponentSize:exponentSize
|
|
5331
|
518 |
fraction:m exponent:(e + self eBias) signBit:signBit.
|
|
5324
|
519 |
|
|
|
520 |
"
|
|
|
521 |
seee eeee eeee mmmm mmmm mmmm mmmm mmmm mmmm mmmm mmmm mmmm mmmm mmmm mmmm mmmm
|
|
|
522 |
0100 0000 0000 0000 0000 ...... 2.0
|
|
|
523 |
0011 1111 1111 0000 0000 ...... 1.0
|
|
|
524 |
0400 0000 0001 0000 0000 ...... 4.0
|
|
|
525 |
|
|
|
526 |
self assert:(IEEEFloat fromFloat:1.0) exponent = 1.0 exponent.
|
|
|
527 |
self assert:(IEEEFloat fromFloat:1.0) mantissaBits = 1.0 mantissaBits.
|
|
|
528 |
self assert:(IEEEFloat fromFloat:1.0) eBias = 1.0 eBias.
|
|
|
529 |
|
|
|
530 |
self assert:(IEEEFloat fromFloat:2.0) exponent = 2.0 exponent.
|
|
|
531 |
self assert:(IEEEFloat fromFloat:2.0) mantissaBits = 2.0 mantissaBits.
|
|
|
532 |
self assert:(IEEEFloat fromFloat:2.0) eBias = 2.0 eBias.
|
|
|
533 |
|
|
|
534 |
self assert:(IEEEFloat fromFloat:4.0) exponent = 4.0 exponent.
|
|
|
535 |
self assert:(IEEEFloat fromFloat:4.0) mantissaBits = 4.0 mantissaBits.
|
|
|
536 |
self assert:(IEEEFloat fromFloat:4.0) eBias = 4.0 eBias.
|
|
|
537 |
|
|
|
538 |
self assert:(IEEEFloat fromFloat:3.0) exponent = 3.0 exponent.
|
|
|
539 |
self assert:(IEEEFloat fromFloat:3.0) mantissaBits = 3.0 mantissaBits.
|
|
|
540 |
self assert:(IEEEFloat fromFloat:3.0) eBias = 3.0 eBias.
|
|
|
541 |
|
|
|
542 |
self assert:(IEEEFloat fromFloat:10.0) exponent = 10.0 exponent.
|
|
|
543 |
self assert:(IEEEFloat fromFloat:10.0) mantissaBits = 10.0 mantissaBits.
|
|
|
544 |
self assert:(IEEEFloat fromFloat:10.0) eBias = 10.0 eBias.
|
|
|
545 |
|
|
|
546 |
self assert:(IEEEFloat fromFloat:1e-3) exponent = 1e-3 exponent.
|
|
|
547 |
self assert:(IEEEFloat fromFloat:1e-3) mantissaBits = 1e-3 mantissaBits.
|
|
|
548 |
self assert:(IEEEFloat fromFloat:1e-3) eBias = 1e-3 eBias.
|
|
|
549 |
|
|
|
550 |
(IEEEFloat fromFloat:1.0) + (IEEEFloat fromFloat:1.0) = (IEEEFloat fromFloat:2.0)
|
|
|
551 |
((IEEEFloat fromFloat:1.0) + (IEEEFloat fromFloat:1.0)) exponent = 2.0 exponent
|
|
|
552 |
((IEEEFloat fromFloat:1.0) + (IEEEFloat fromFloat:1.0)) mantissaBits = 2.0 mantissaBits
|
|
|
553 |
|
|
|
554 |
self assert:((-4.0 asIEEEFloat) + (2.0 asIEEEFloat)) = (-2.0 asIEEEFloat)
|
|
|
555 |
|
|
|
556 |
(IEEEFloat fromFloat:2.0)
|
|
|
557 |
self assert:((IEEEFloat fromFloat:2.0) + (IEEEFloat fromFloat:2.0)) = (IEEEFloat fromFloat:4.0)
|
|
|
558 |
self assert:((IEEEFloat fromFloat:4.0) + (IEEEFloat fromFloat:4.0)) = (IEEEFloat fromFloat:8.0)
|
|
|
559 |
self assert:((IEEEFloat fromFloat:0.0) + (IEEEFloat fromFloat:1.0)) = (IEEEFloat fromFloat:1.0)
|
|
|
560 |
self assert:((IEEEFloat fromFloat:1.0) + (IEEEFloat fromFloat:0.0)) = (IEEEFloat fromFloat:1.0)
|
|
|
561 |
self assert:((IEEEFloat fromFloat:1.0) + (IEEEFloat fromFloat:2.0)) = (IEEEFloat fromFloat:3.0)
|
|
|
562 |
self assert:((IEEEFloat fromFloat:100.0) + (IEEEFloat fromFloat:2.0)) = (IEEEFloat fromFloat:102.0)
|
|
|
563 |
self assert:((IEEEFloat fromFloat:2.0) + (IEEEFloat fromFloat:100.0)) = (IEEEFloat fromFloat:102.0)
|
|
|
564 |
|
|
|
565 |
self assert:((IEEEFloat fromFloat:4.0) + (IEEEFloat fromFloat:-2.0)) = (IEEEFloat fromFloat:2.0)
|
|
|
566 |
self assert:((IEEEFloat fromFloat:8.0) + (IEEEFloat fromFloat:-2.0)) = (IEEEFloat fromFloat:6.0)
|
|
|
567 |
self assert:((IEEEFloat fromFloat:100.0) + (IEEEFloat fromFloat:-2.0)) = (IEEEFloat fromFloat:98.0)
|
|
|
568 |
self assert:((IEEEFloat fromFloat:-2.0) + (IEEEFloat fromFloat:100.0)) = (IEEEFloat fromFloat:98.0)
|
|
|
569 |
self assert:((IEEEFloat fromFloat:-2.0) + (IEEEFloat fromFloat:-100.0)) = (IEEEFloat fromFloat:-102.0)
|
|
|
570 |
|
|
|
571 |
self assert:((IEEEFloat fromFloat:-0.1) + (IEEEFloat fromFloat:0.1)) = (IEEEFloat fromFloat:0.0)
|
|
|
572 |
"
|
|
|
573 |
! !
|
|
|
574 |
|
|
|
575 |
!IEEEFloat methodsFor:'inspecting'!
|
|
|
576 |
|
|
|
577 |
inspectorExtraAttributes
|
|
|
578 |
^ #()
|
|
|
579 |
! !
|
|
|
580 |
|
|
|
581 |
!IEEEFloat methodsFor:'printing & storing'!
|
|
|
582 |
|
|
|
583 |
displayOn:aStream
|
|
|
584 |
aStream nextPutAll:'IEEEFloat'.
|
|
|
585 |
^ self.
|
|
|
586 |
!
|
|
|
587 |
|
|
|
588 |
displayString
|
|
|
589 |
^ 'IEEEFloat'.
|
|
|
590 |
|
|
|
591 |
!
|
|
|
592 |
|
|
|
593 |
printOn:aStream
|
|
|
594 |
aStream nextPutAll:'IEEEFloat'.
|
|
|
595 |
^ self.
|
|
|
596 |
thisContext isRecursive ifTrue:[
|
|
|
597 |
aStream nextPutAll:'IEEEFloat (error while printing)'.
|
|
|
598 |
^ self.
|
|
|
599 |
].
|
|
|
600 |
|
|
|
601 |
PrintfScanf printf:'%g' on:aStream argument:self.
|
|
|
602 |
!
|
|
|
603 |
|
|
|
604 |
printOn:aStream base:b
|
|
|
605 |
aStream nextPutAll:'IEEEFloat'.
|
|
|
606 |
!
|
|
|
607 |
|
|
|
608 |
printOn:aStream base:b showRadix:showRadix
|
|
|
609 |
aStream nextPutAll:'IEEEFloat'.
|
|
|
610 |
!
|
|
|
611 |
|
|
|
612 |
printOn:aStream thousandsSeparator:thousandsSeparator
|
|
|
613 |
aStream nextPutAll:'IEEEFloat'.
|
|
|
614 |
!
|
|
|
615 |
|
|
|
616 |
printString
|
|
|
617 |
^ 'IEEEFloat'.
|
|
|
618 |
!
|
|
|
619 |
|
|
|
620 |
printStringFormat:formatString
|
|
|
621 |
^ 'IEEEFloat'.
|
|
|
622 |
!
|
|
|
623 |
|
|
|
624 |
printStringRadix:base
|
|
|
625 |
^ 'IEEEFloat'.
|
|
|
626 |
!
|
|
|
627 |
|
|
|
628 |
printStringRadix:base showRadix:showRadixBoolean
|
|
|
629 |
^ 'IEEEFloat'.
|
|
|
630 |
!
|
|
|
631 |
|
|
|
632 |
printStringScientific
|
|
|
633 |
^ 'IEEEFloat'.
|
|
|
634 |
!
|
|
|
635 |
|
|
|
636 |
printfPrintString:formatString
|
|
|
637 |
^ 'IEEEFloat'.
|
|
|
638 |
! !
|
|
|
639 |
|
|
|
640 |
!IEEEFloat methodsFor:'queries'!
|
|
|
641 |
|
|
|
642 |
eBias
|
|
|
643 |
"Answer the exponent's bias;
|
|
|
644 |
that is the offset of the zero exponent when stored"
|
|
|
645 |
|
|
|
646 |
^ (1 bitShift:exponentSize-1) - 1
|
|
|
647 |
|
|
|
648 |
"
|
|
|
649 |
1.0 numBitsInExponent 11
|
|
|
650 |
1.0 eBias 1023
|
|
|
651 |
1.0 emin -1022
|
|
|
652 |
1.0 emax 1023
|
|
|
653 |
1.0 fmin 2.2250738585072E-308
|
|
|
654 |
1.0 fmax 1.79769313486232E+308
|
|
|
655 |
"
|
|
|
656 |
!
|
|
|
657 |
|
|
|
658 |
numBitsInExponent
|
|
|
659 |
^ exponentSize
|
|
|
660 |
|
|
|
661 |
"
|
|
|
662 |
1.0 numBitsInExponent 11
|
|
|
663 |
1.0 numBitsInMantissa 52
|
|
|
664 |
1.0 precision 53
|
|
|
665 |
1.0 decimalPrecision 16
|
|
|
666 |
1.0 eBias 1023
|
|
|
667 |
1.0 emin -1022
|
|
|
668 |
1.0 emax 1023
|
|
|
669 |
1.0 fmin 2.2250738585072E-308
|
|
|
670 |
1.0 fmax 1.79769313486232E+308
|
|
|
671 |
"
|
|
|
672 |
!
|
|
|
673 |
|
|
|
674 |
numBitsInMantissa
|
|
|
675 |
^ (self basicSize * 8)
|
|
|
676 |
- 1 "/ sign
|
|
|
677 |
- exponentSize
|
|
|
678 |
|
|
|
679 |
"
|
|
|
680 |
1.0 numBitsInExponent 11
|
|
|
681 |
1.0 numBitsInMantissa 52
|
|
|
682 |
1.0 precision 53
|
|
|
683 |
1.0 decimalPrecision 16
|
|
|
684 |
1.0 eBias 1023
|
|
|
685 |
1.0 emin -1022
|
|
|
686 |
1.0 emax 1023
|
|
|
687 |
1.0 fmin 2.2250738585072E-308
|
|
|
688 |
1.0 fmax 1.79769313486232E+308
|
|
|
689 |
"
|
|
|
690 |
! !
|
|
|
691 |
|
|
|
692 |
!IEEEFloat methodsFor:'testing'!
|
|
|
693 |
|
|
|
694 |
isFinite
|
|
|
695 |
"return true, if the receiver is a finite float (not NaN or +/-INF)"
|
|
|
696 |
|
|
|
697 |
^ self exponentBits ~= ((1 bitShift:self numBitsInExponent)-1)
|
|
|
698 |
|
|
|
699 |
"Modified: 12.2.1997 / 16:45:27 / cg"
|
|
|
700 |
!
|
|
|
701 |
|
|
|
702 |
isInfinite
|
|
|
703 |
"return true, if the receiver is an infinite float (+/-INF)"
|
|
|
704 |
|
|
|
705 |
^ (self exponentBits = ((1 bitShift:self numBitsInExponent)-1))
|
|
|
706 |
and:[ self mantissaBits = 0 ]
|
|
|
707 |
|
|
|
708 |
"Modified: 12.2.1997 / 16:45:27 / cg"
|
|
|
709 |
|
|
|
710 |
|
|
|
711 |
!
|
|
|
712 |
|
|
|
713 |
isNaN
|
|
|
714 |
"return true, if the receiver is an invalid float (NaN - not a number)"
|
|
|
715 |
|
|
|
716 |
^ (self exponentBits = ((1 bitShift:self numBitsInExponent)-1))
|
|
|
717 |
and:[ self mantissaBits ~= 0 ]
|
|
|
718 |
|
|
|
719 |
"Modified: 12.2.1997 / 16:45:27 / cg"
|
|
|
720 |
!
|
|
|
721 |
|
|
|
722 |
negative
|
|
|
723 |
"return true if the receiver is less than zero."
|
|
|
724 |
|
|
|
725 |
^ (self basicAt:self basicSize) bitTest:16r80
|
|
|
726 |
!
|
|
|
727 |
|
|
|
728 |
positive
|
|
|
729 |
"return true if the receiver is greater or equal to zero."
|
|
|
730 |
|
|
|
731 |
^ ((self basicAt:self basicSize) bitTest:16r80) not
|
|
|
732 |
! !
|
|
|
733 |
|
|
5278
|
734 |
!IEEEFloat class methodsFor:'documentation'!
|
|
|
735 |
|
|
|
736 |
version_CVS
|
|
|
737 |
^ '$Header$'
|
|
|
738 |
! !
|
|
|
739 |
|