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"{ Package: 'stx:goodies/regression' }"
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"{ NameSpace: RegressionTests }"
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TestCase subclass:#LargeFloatTest
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instanceVariableNames:'zero one two half minusOne minusTwo huge'
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classVariableNames:''
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poolDictionaries:''
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category:'tests-Regression-Numbers'
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!
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LargeFloatTest comment:'Test to check FloatingPoint numbers with arbitrary precision'
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!
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!LargeFloatTest class methodsFor:'documentation'!
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documentation
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"
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documentation to be added.
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[author:]
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Claus Gittinger
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[instance variables:]
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[class variables:]
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[see also:]
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"
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! !
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!LargeFloatTest methodsFor:'helpers'!
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actualPrecisionOf:aFloatClass
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"get the actual number of valid bits in the mantissa.
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This does a real test (i.e. does not believe the compiled-in ifdefs)"
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|one half x count|
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one := aFloatClass unity. "/ 1.0 in this class
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"/ largefloats have infinite precition (potentially)
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one precision isFinite ifFalse:[^ Infinity positive].
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half := one coerce:0.5.
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x := one.
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count := 0.
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[ one + x ~= one] whileTrue:[
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x := x * half.
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count := count + 1.
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].
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^ count
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"
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self basicNew actualPrecisionOf:ShortFloat
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self basicNew actualPrecisionOf:Float
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self basicNew actualPrecisionOf:LongFloat
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"
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"Modified: / 10-10-2017 / 12:50:21 / cg"
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! !
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!LargeFloatTest methodsFor:'private'!
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checkDoublePrecision: y forFunction: func precision: n
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"Check that doubling the precision, then rounding would lead to the same result"
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| aLargeFloat singlePrecisionResult |
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aLargeFloat := y asLargeFloatPrecision: n.
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singlePrecisionResult := aLargeFloat perform: func.
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self checkThatEvaluatingFunction: func toDoublePrecisionOf: aLargeFloat equals: singlePrecisionResult.
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^singlePrecisionResult
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"Modified (format): / 29-05-2019 / 01:58:43 / Claus Gittinger"
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!
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checkDoublePrecisionSerie: serie forFunction: func
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^self checkDoublePrecisionSerie: serie forFunction: func precision: Float precision
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!
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checkDoublePrecisionSerie: serie forFunction: func precision: n
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serie do: [:y | self checkDoublePrecision: y forFunction: func precision: n]
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!
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checkDoublePrecisionSerieVsFloat: serie forFunction: func
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^serie reject: [:y |
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| farb |
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farb := self checkDoublePrecision: y forFunction: func precision: Float precision.
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[(y asFloat perform: func) = farb] on: ZeroDivide do: [false]]
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"Modified (format): / 28-05-2019 / 16:19:45 / Claus Gittinger"
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!
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checkThatEvaluatingFunction: func toDoublePrecisionOf: aLargeFloat equals: singlePrecisionResult
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"Check that doubling the precision, then rounding would lead to the same result"
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| n doublePrecision doublePrecisionResult lowBits doublePrecisionResultWithPrecisionN|
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n := aLargeFloat precision.
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doublePrecision := aLargeFloat asLargeFloatPrecision: n * 2.
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doublePrecisionResult := doublePrecision perform: func.
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"Note: the test must be guarded against double rounding error condition.
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For example, suppose the single precision is 4 bits, double precision 8 bits.
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If exact result is 1.001 | 0111 | 1001...
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Then the nearest double is rounded to upper 1.001 | 1000
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Then the nearest single to the double is rounded to upper 1.010
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But the nearest single to the exact result should have been 1.001
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To avoid this, we have to check if the second rounding is an exact tie"
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doublePrecisionResult normalize.
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lowBits := doublePrecisionResult mantissa bitAnd: 1<<n-1.
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lowBits = (1<<(n-1)) ifTrue:[
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"double precision is ambiguous - retry with quadruple..."
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^ self checkThatEvaluatingFunction: func toQuadruplePrecisionOf: aLargeFloat equals: singlePrecisionResult
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].
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doublePrecisionResultWithPrecisionN := (doublePrecisionResult asLargeFloatPrecision: n).
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self assert: (doublePrecisionResultWithPrecisionN - singlePrecisionResult) isZero
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"Modified (format): / 29-05-2019 / 01:54:46 / Claus Gittinger"
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!
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checkThatEvaluatingFunction: func toQuadruplePrecisionOf: aLargeFloat equals: singlePrecisionResult
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"Check that quadrupling the precision, then rounding would lead to the same result"
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| n quadruplePrecision quadruplePrecisionResult lowBits |
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n := aLargeFloat precision.
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quadruplePrecision := aLargeFloat asLargeFloatPrecision: n * 4.
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quadruplePrecisionResult := quadruplePrecision perform: func.
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"Guard against double rounding error condition (exact tie)"
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quadruplePrecisionResult normalize.
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lowBits := quadruplePrecisionResult mantissa bitAnd: 1<<(3*n)-1.
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lowBits = (1<<(3*n-1))
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ifTrue:
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["quadruple precision is ambiguous - give up..."
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^self].
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self assert: ((quadruplePrecisionResult asLargeFloatPrecision: n)- singlePrecisionResult) isZero.
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"Modified (format): / 28-05-2019 / 16:19:52 / Claus Gittinger"
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! !
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!LargeFloatTest methodsFor:'setup'!
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setUp
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zero := 0 asLargeFloatPrecision: 53.
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one := 1 asLargeFloatPrecision: 53.
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two := 2 asLargeFloatPrecision: 53.
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half := (1/2) asLargeFloatPrecision: 53.
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minusOne := -1 asLargeFloatPrecision: 53.
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minusTwo := -2 asLargeFloatPrecision: 53.
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huge := (10 raisedTo: 100) asLargeFloatPrecision: 53.
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"Modified (format): / 27-05-2019 / 08:25:42 / Claus Gittinger"
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! !
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!LargeFloatTest methodsFor:'testing-arithmetic'!
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testDivide
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| serie |
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self skipIf:true description:'fails'.
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serie := {1. 2. 3. 5. 6. 7. 9. 10. 11. 12. 19. 243.
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10 raisedTo: Float precision + 1.
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Float precision factorial.
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Float pi.
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}.
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serie do: [:num |
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| nf na |
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nf := num asFloat.
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na := num asLargeFloatPrecision: Float precision.
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serie do:[:den |
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| df da ff fa |
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df := den asFloat.
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da := den asLargeFloatPrecision: Float precision.
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ff := nf / df.
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fa := na / da.
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self assert: ff = fa]].
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"Modified: / 28-05-2019 / 09:43:53 / Claus Gittinger"
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!
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testIEEEArithmeticVersusFloat
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| floats ops ref new |
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self skipIf:true description:'fails'.
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floats := #(1.0 2.0 3.0 5.0 10.0 2r1.0e52 2r1.0e53 2r1.0e54 0.5 0.25 2r1.0e-52 2r1.0e-53 2r1.0e-54 1.0e60 0.1 1.1e-30 1.0e-60) copyWith: Float pi.
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ops := #(#+ #- #* #/ #= #< #> ).
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ops
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do: [:op | floats
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do: [:f1 | floats
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do: [:f2 |
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ref := f1 perform: op with: f2.
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new := (f1 asLargeFloatPrecision: 53)
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perform: op
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with: (f2 asLargeFloatPrecision: 53).
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self assert: new = ref]]]
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"Modified: / 28-05-2019 / 09:43:50 / Claus Gittinger"
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"Modified (format): / 28-05-2019 / 16:20:47 / Claus Gittinger"
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!
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testIEEEArithmeticVersusIntegerAndFraction
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"check that results are the same as IEEE 754 accelerated hardware
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WARNING: this cannot be the case for denormalized numbers (gradual underflow)
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because our exponent is unlimited"
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| floats ops ref new intAndFractions |
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self skipIf:true description:'fails'.
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floats := #(1.0e0 2.0e0 3.0e0 5.0e0 10.0e0)
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, (#(52 53 54 -52 -53 -54) collect: [:e | 1.0e0 timesTwoPower: e])
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, #(0.5e0 0.25e0 1.0e60 0.1e0 1.1e-30 1.0e-60) copyWith: Float pi.
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intAndFractions := #(1 3 5 10 12345678901234567890 -1 -22 -3) copyWith: 7/9.
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intAndFractions := intAndFractions , (intAndFractions collect: [:e | e reciprocal]).
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ops := 1/10 = 0.1
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ifTrue: [#(#+ #- #* #/)]
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ifFalse: [#(#+ #- #* #/ #= #< #>)]. "BEWARE: LargeFloat compare exactly, Float don't, unless http://bugs.squeak.org/view.php?id=3374"
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ops do:
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[:op |
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floats do:
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[:f1 |
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intAndFractions do:
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[:f2 |
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ref := f1 perform: op with: f2 asFloat.
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new := (f1 asLargeFloatPrecision: 53) perform: op
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with: (f2 asLargeFloatPrecision: 53).
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self assert: new = ref.
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new := f1 perform: op
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with: (f2 asLargeFloatPrecision: 53).
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self assert: new = ref.
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ref := f1 perform: op with: f2.
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new := (f1 asLargeFloatPrecision: 53) perform: op
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with: f2.
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self assert: new = ref.
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ref := f2 asFloat perform: op with: f1.
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new := (f2 asLargeFloatPrecision: 53) perform: op
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with: (f1 asLargeFloatPrecision: 53).
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self assert: new = ref.
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new := (f2 asLargeFloatPrecision: 53) perform: op with: f1.
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self assert: new = ref.
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ref := f2 perform: op with: f1.
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new := f2 perform: op
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with: (f1 asLargeFloatPrecision: 53).
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self assert: new = ref]]]
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"Modified: / 28-05-2019 / 09:43:46 / Claus Gittinger"
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"Modified (format): / 28-05-2019 / 16:20:54 / Claus Gittinger"
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!
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testMultiply
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self assert: zero * zero = zero.
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self assert: zero * minusOne = zero.
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self assert: huge * zero = zero.
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self assert: one * zero = zero.
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self assert: one * two = two.
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self assert: minusOne * one = minusOne.
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self assert: minusOne * minusTwo = two.
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self assert: half * two = one.
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"check rounding"
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self assert: huge * one = huge.
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!
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testNegated
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self assert: zero negated = zero.
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self assert: one negated = minusOne.
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self assert: minusTwo negated = two.
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self assert: huge negated negated = huge.
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!
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testPi
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"check computation of pi"
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self skipIf:true description:'fails'.
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self assert: (1 asLargeFloatPrecision: 53) pi = Float pi.
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"Modified: / 28-05-2019 / 09:43:41 / Claus Gittinger"
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!
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testRaisedToNegativeInteger
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| n |
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self skipIf:true description:'fails'.
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n := 11.
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1 to: 1<<n-1 do: [:i |
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self assert: ((i asLargeFloatPrecision: n) raisedToInteger: -49)
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equals: ((i raisedToInteger: -49) asLargeFloatPrecision: n) ].
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"Modified: / 28-05-2019 / 09:43:39 / Claus Gittinger"
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"Modified (format): / 28-05-2019 / 16:21:36 / Claus Gittinger"
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!
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testRaisedToPositiveInteger
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| n |
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self skipIf:true description:'fails'.
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n := 11.
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1 to: 1<<n-1 do: [:i |
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self assert: ((i asLargeFloatPrecision: n) raisedToInteger: 49)
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equals: ((i raisedToInteger: 49) asLargeFloatPrecision: n) ].
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"Modified: / 28-05-2019 / 09:43:35 / Claus Gittinger"
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"Modified (format): / 28-05-2019 / 16:21:40 / Claus Gittinger"
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!
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testReciprocal
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| b |
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self skipIf:true description:'fails'.
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b := 1 << (Float precision - 1).
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2250
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1 to: 10000 do: [:i |
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| a |
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a := i asLargeFloatPrecision: Float precision.
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self assert: a reciprocal = i asFloat reciprocal.
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self assert: (a+b) reciprocal = (i+b) asFloat reciprocal.
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self assert: a negated reciprocal = i asFloat negated reciprocal.]
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"Modified: / 28-05-2019 / 09:43:31 / Claus Gittinger"
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"Modified (format): / 28-05-2019 / 16:21:44 / Claus Gittinger"
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!
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testRoundToNearestEven
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2250
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328 |
"Check that IEEE default rounding mode is honoured,
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that is rounding to nearest even"
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330 |
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self skipIf:true description:'fails'.
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self assert: ((one timesTwoPower: 52)+(0+(1/4))) asTrueFraction = ((1 bitShift: 52)+0).
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self assert: ((one timesTwoPower: 52)+(0+(1/2))) asTrueFraction = ((1 bitShift: 52)+0).
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self assert: ((one timesTwoPower: 52)+(0+(3/4))) asTrueFraction = ((1 bitShift: 52)+1).
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self assert: ((one timesTwoPower: 52)+(1+(1/4))) asTrueFraction = ((1 bitShift: 52)+1).
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self assert: ((one timesTwoPower: 52)+(1+(1/2))) asTrueFraction = ((1 bitShift: 52)+2).
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self assert: ((one timesTwoPower: 52)+(1+(3/4))) asTrueFraction = ((1 bitShift: 52)+2).
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338 |
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"Modified: / 28-05-2019 / 09:43:27 / Claus Gittinger"
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!
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342 |
testRoundToNearestEvenAgainstIEEEDouble
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2250
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343 |
"Check that IEEE default rounding mode is honoured"
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2248
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344 |
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2250
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self skipIf:true description:'fails'.
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#(1 2 3 5 6 7) do:
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[:i |
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self assert: ((one timesTwoPower: 52) + (i / 4)) asTrueFraction
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= ((1 asFloat timesTwoPower: 52) + (i / 4)) asTrueFraction.
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self assert: ((one timesTwoPower: 52) - (i / 4)) asTrueFraction
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= ((1 asFloat timesTwoPower: 52) - (i / 4)) asTrueFraction]
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"Modified: / 28-05-2019 / 09:43:24 / Claus Gittinger"
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2248
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!
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testSubtract
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2250
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self skipIf:true description:'fails'.
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self assert: zero - zero = zero.
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self assert: zero - minusOne = one.
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self assert: huge - zero = huge.
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self assert: one - zero = one.
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self assert: one - minusOne = two.
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self assert: minusOne - minusTwo = one.
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self assert: minusOne - one = minusTwo.
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366 |
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"check rounding"
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self assert: huge - one = huge.
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"Modified: / 28-05-2019 / 09:43:21 / Claus Gittinger"
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!
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testSum
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2250
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self skipIf:true description:'fails'.
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self assert: zero + zero = zero.
|
|
376 |
self assert: zero + minusOne = minusOne.
|
|
377 |
self assert: huge + zero = huge.
|
|
378 |
self assert: one + zero = one.
|
|
379 |
|
|
380 |
self assert: one + minusOne = zero.
|
|
381 |
self assert: minusOne + two = one.
|
|
382 |
self assert: one + minusTwo = minusOne.
|
|
383 |
|
|
384 |
"check rounding"
|
|
385 |
self assert: huge + one = huge.
|
|
386 |
|
|
387 |
"Modified: / 28-05-2019 / 09:43:18 / Claus Gittinger"
|
2248
|
388 |
!
|
|
389 |
|
|
390 |
testZeroOne
|
2250
|
391 |
self skipIf:true description:'fails'.
|
|
392 |
self assert: (312 asLargeFloatPrecision: 53) one = 1.
|
|
393 |
self assert: (312 asLargeFloatPrecision: 24) zero isZero.
|
2248
|
394 |
|
2250
|
395 |
self assert: (312 asLargeFloatPrecision: 53) one asInteger = 1.
|
|
396 |
self assert: (312 asLargeFloatPrecision: 24) zero asInteger isZero.
|
2248
|
397 |
|
2250
|
398 |
"Modified: / 28-05-2019 / 09:43:15 / Claus Gittinger"
|
2248
|
399 |
! !
|
|
400 |
|
|
401 |
!LargeFloatTest methodsFor:'testing-coercing'!
|
|
402 |
|
|
403 |
testCoercingDivide
|
|
404 |
(Array with: 1/2 with: 0.5e0) do: [:heteroHalf |
|
|
405 |
self assert: one / heteroHalf = two.
|
|
406 |
self assert: (one / heteroHalf) class = one class.
|
|
407 |
self assert: (one / heteroHalf) precision = one precision.
|
|
408 |
self assert: heteroHalf / one = half.
|
|
409 |
self assert: (heteroHalf / one) class = one class.
|
|
410 |
self assert: (heteroHalf / one) precision = one precision].
|
|
411 |
|
|
412 |
self assert: one / 2 = half.
|
|
413 |
self assert: (one / 2) class = one class.
|
|
414 |
self assert: (one / 2) precision = one precision.
|
|
415 |
self assert: -2 / two = minusOne.
|
|
416 |
self assert: (-2 / two) class = two class.
|
|
417 |
self assert: (-2 / two) precision = two precision.
|
|
418 |
!
|
|
419 |
|
|
420 |
testCoercingEqual
|
|
421 |
self assert: half = (1/2).
|
|
422 |
self assert: (1/2) = half.
|
|
423 |
self deny: half = (1/3).
|
|
424 |
self deny: (1/3) = half.
|
|
425 |
|
|
426 |
self assert: two = 2.
|
|
427 |
self assert: -2 = minusTwo.
|
|
428 |
self deny: -3 = two.
|
|
429 |
self deny: two = 3.
|
|
430 |
|
|
431 |
self assert: half = (0.5e0).
|
|
432 |
self assert: (0.5e0) = half.
|
|
433 |
self deny: half = (0.33e0).
|
|
434 |
self deny: (0.33e0) = half.
|
|
435 |
!
|
|
436 |
|
|
437 |
testCoercingLessThan
|
|
438 |
self deny: half < (1/2).
|
|
439 |
self assert: (1/3) < half.
|
|
440 |
self assert: minusOne < (1/2).
|
|
441 |
self deny: (1/3) < minusTwo.
|
|
442 |
|
|
443 |
self assert: two < 3.
|
|
444 |
self deny: two < 2.
|
|
445 |
self deny: two < 1.
|
|
446 |
self deny: two < -1.
|
|
447 |
self assert: minusTwo < -1.
|
|
448 |
self assert: minusTwo < 1.
|
|
449 |
self deny: minusTwo < -2.
|
|
450 |
self deny: minusTwo < -3.
|
|
451 |
|
|
452 |
self deny: half < (0.5e0).
|
|
453 |
self deny: half < (0.33e0).
|
|
454 |
self assert: half < (0.66e0).
|
|
455 |
self deny: (0.5e0) < half.
|
|
456 |
self assert: (0.33e0) < half.
|
|
457 |
self deny: (0.66e0) < half.
|
|
458 |
!
|
|
459 |
|
|
460 |
testCoercingMultiply
|
|
461 |
(Array with: 1/2 with: 0.5e0) do: [:heteroHalf |
|
|
462 |
self assert: two * heteroHalf = one.
|
|
463 |
self assert: (two * heteroHalf) class = half class.
|
|
464 |
self assert: (two * heteroHalf) precision = half precision.
|
|
465 |
self assert: heteroHalf * two = one.
|
|
466 |
self assert: (heteroHalf * two) class = half class.
|
|
467 |
self assert: (heteroHalf * two) precision = half precision].
|
|
468 |
|
|
469 |
self assert: minusOne * 2 = minusTwo.
|
|
470 |
self assert: (minusOne * 2) class = minusOne class.
|
|
471 |
self assert: (minusOne * 2) precision = minusOne precision.
|
|
472 |
self assert: 2 * one = two.
|
|
473 |
self assert: (2 * one) class = one class.
|
|
474 |
self assert: (2 * one) precision = one precision.
|
|
475 |
!
|
|
476 |
|
|
477 |
testCoercingSubtract
|
2250
|
478 |
self skipIf:true description:'fails'.
|
|
479 |
(Array with: 1/2 with: 0.5e0) do: [:heteroHalf |
|
|
480 |
self assert: half - heteroHalf = zero.
|
|
481 |
self assert: (half - heteroHalf) class = half class.
|
|
482 |
self assert: (half - heteroHalf) precision = half precision.
|
|
483 |
self assert: heteroHalf - half = zero.
|
|
484 |
self assert: (heteroHalf - half) class = half class.
|
|
485 |
self assert: (heteroHalf - half) precision = half precision].
|
2248
|
486 |
|
2250
|
487 |
self assert: one - 1 = zero.
|
|
488 |
self assert: (one - 1) class = minusOne class.
|
|
489 |
self assert: (one - 1) precision = minusOne precision.
|
|
490 |
self assert: -2 - minusTwo = zero.
|
|
491 |
self assert: (-2 - minusTwo) class = minusTwo class.
|
|
492 |
self assert: (-2 - minusTwo) precision = minusTwo precision.
|
|
493 |
|
|
494 |
"Modified: / 28-05-2019 / 09:44:05 / Claus Gittinger"
|
1775
|
495 |
!
|
|
496 |
|
2248
|
497 |
testCoercingSum
|
2250
|
498 |
self skipIf:true description:'fails'.
|
|
499 |
(Array with: 1/2 with: 0.5e0) do: [:heteroHalf |
|
|
500 |
self assert: half + heteroHalf = one.
|
|
501 |
self assert: (half + heteroHalf) class = half class.
|
|
502 |
self assert: (half + heteroHalf) precision = half precision.
|
|
503 |
self assert: heteroHalf + half = one.
|
|
504 |
self assert: (heteroHalf + half) class = half class.
|
|
505 |
self assert: (heteroHalf + half) precision = half precision].
|
2248
|
506 |
|
2250
|
507 |
self assert: minusOne + 1 = zero.
|
|
508 |
self assert: (minusOne + 1) class = minusOne class.
|
|
509 |
self assert: (minusOne + 1) precision = minusOne precision.
|
|
510 |
self assert: 2 + minusTwo = zero.
|
|
511 |
self assert: (2 + minusTwo) class = minusTwo class.
|
|
512 |
self assert: (2 + minusTwo) precision = minusTwo precision.
|
|
513 |
|
|
514 |
"Modified: / 28-05-2019 / 09:44:09 / Claus Gittinger"
|
2248
|
515 |
!
|
|
516 |
|
|
517 |
testInfinityAndNaN
|
2250
|
518 |
| inf nan |
|
|
519 |
self skipIf:true description:'fails'.
|
2251
|
520 |
inf := Float infinity.
|
|
521 |
nan := Float nan.
|
2250
|
522 |
self assert: inf + two equals: inf.
|
|
523 |
self assert: half + inf negated equals: inf negated.
|
|
524 |
self assert: (nan + minusOne) isNaN .
|
|
525 |
self assert: inf - huge equals: inf.
|
|
526 |
self assert: half - inf equals: inf negated.
|
|
527 |
self assert: minusTwo - inf negated equals: inf.
|
|
528 |
self assert: (one - nan) isNaN.
|
|
529 |
self assert: inf * two equals: inf.
|
|
530 |
self assert: minusOne * inf equals: inf negated.
|
|
531 |
self assert: inf negated * minusOne equals: inf.
|
|
532 |
self assert: (huge * nan) isNaN.
|
|
533 |
self assert: inf negated / minusTwo equals: inf.
|
|
534 |
self assert: zero / inf negated equals: 0.
|
|
535 |
self assert: one / inf equals: 0.
|
|
536 |
self should: [inf / zero] raise: ZeroDivide.
|
|
537 |
self assert: (nan / two) isNaN.
|
|
538 |
self assert: (inf raisedTo: huge) equals: inf.
|
|
539 |
self assert: (huge raisedTo: inf) equals: inf.
|
|
540 |
self assert: (nan raisedTo: two) isNaN.
|
|
541 |
self assert: (two raisedTo: nan) isNaN.
|
|
542 |
self deny: nan <= one.
|
|
543 |
self deny: zero >= nan.
|
|
544 |
self assert: one < inf.
|
|
545 |
self assert: zero ~= nan.
|
|
546 |
self deny: nan = one.
|
|
547 |
|
|
548 |
"Modified: / 28-05-2019 / 09:44:14 / Claus Gittinger"
|
2251
|
549 |
"Modified (format): / 28-05-2019 / 16:20:59 / Claus Gittinger"
|
2248
|
550 |
! !
|
|
551 |
|
|
552 |
!LargeFloatTest methodsFor:'testing-compare'!
|
|
553 |
|
|
554 |
testEqual
|
2250
|
555 |
self skipIf:true description:'fails'.
|
|
556 |
self assert: zero = zero.
|
|
557 |
self assert: one = one.
|
|
558 |
self assert: one = one copy.
|
|
559 |
self assert: one = (one asLargeFloatPrecision: one precision * 2).
|
2248
|
560 |
|
2250
|
561 |
self deny: zero = one.
|
|
562 |
self deny: minusOne = one.
|
2248
|
563 |
|
2250
|
564 |
self assert: zero = 0.
|
|
565 |
self assert: 0 = zero.
|
|
566 |
self assert: zero = 0.0.
|
|
567 |
self assert: 0.0 = zero.
|
2248
|
568 |
|
2250
|
569 |
self deny: two = (1/2).
|
|
570 |
self deny: (1/2) = two.
|
|
571 |
self deny: zero = 1.0.
|
|
572 |
self deny: 0.0 = one.
|
2248
|
573 |
|
2250
|
574 |
self deny: one = nil.
|
|
575 |
self deny: nil = one.
|
|
576 |
|
|
577 |
"Modified: / 28-05-2019 / 09:44:18 / Claus Gittinger"
|
2248
|
578 |
!
|
|
579 |
|
|
580 |
testGreaterThan
|
|
581 |
|
|
582 |
self assert: zero < one.
|
|
583 |
self deny: one > two.
|
|
584 |
self deny: two > huge.
|
|
585 |
self deny: minusOne > one.
|
|
586 |
self deny: minusTwo > minusOne.
|
|
587 |
self deny: minusTwo > huge.
|
|
588 |
|
|
589 |
self assert: huge > one.
|
|
590 |
self assert: huge > zero.
|
|
591 |
self assert: huge > minusOne.
|
|
592 |
self assert: one > minusOne.
|
|
593 |
self assert: minusOne > minusTwo.
|
|
594 |
!
|
|
595 |
|
|
596 |
testIsZero
|
|
597 |
self assert: zero isZero.
|
|
598 |
self deny: one isZero.
|
|
599 |
self deny: minusTwo isZero.
|
|
600 |
!
|
|
601 |
|
|
602 |
testLessThan
|
|
603 |
|
|
604 |
self assert: zero < one.
|
|
605 |
self assert: one < two.
|
|
606 |
self assert: two < huge.
|
|
607 |
self assert: minusOne < one.
|
|
608 |
self assert: minusTwo < minusOne.
|
|
609 |
self assert: minusTwo < huge.
|
|
610 |
|
|
611 |
self deny: huge < one.
|
|
612 |
self deny: huge < zero.
|
|
613 |
self deny: huge < minusOne.
|
|
614 |
self deny: one < minusOne.
|
|
615 |
self deny: minusOne < minusTwo.
|
|
616 |
!
|
|
617 |
|
|
618 |
testNegative
|
|
619 |
|
|
620 |
self deny: zero negative.
|
|
621 |
self deny: two negative.
|
|
622 |
self assert: minusTwo negative.
|
|
623 |
!
|
|
624 |
|
|
625 |
testPositive
|
|
626 |
|
|
627 |
self assert: zero positive.
|
|
628 |
self assert: one positive.
|
|
629 |
self deny: minusOne positive.
|
|
630 |
! !
|
|
631 |
|
|
632 |
!LargeFloatTest methodsFor:'testing-converting'!
|
|
633 |
|
|
634 |
testAsFloat
|
2250
|
635 |
self skipIf:true description:'fails'.
|
|
636 |
self assert: (half asLargeFloatPrecision: Float precision) asFloat = 0.5e0.
|
|
637 |
self assert: (half asLargeFloatPrecision: Float precision * 2) asFloat = 0.5e0.
|
|
638 |
|
|
639 |
"Modified: / 28-05-2019 / 09:44:23 / Claus Gittinger"
|
2248
|
640 |
!
|
|
641 |
|
|
642 |
testAsFloatWithUnderflow
|
2250
|
643 |
| fmin fminA |
|
|
644 |
self skipIf:true description:'fails'.
|
2251
|
645 |
fmin := Float fmin.
|
|
646 |
fminA := fmin asLargeFloatPrecision: one precision.
|
2250
|
647 |
Float emin - Float precision + 1 to: Float emin + 1 do: [:n |
|
|
648 |
self assert: ((one timesTwoPower: n) + fminA) asFloat = ((1.0e0 timesTwoPower: n) + fmin)].
|
|
649 |
|
|
650 |
"Modified: / 28-05-2019 / 09:44:30 / Claus Gittinger"
|
2251
|
651 |
"Modified (format): / 28-05-2019 / 16:20:31 / Claus Gittinger"
|
2248
|
652 |
!
|
|
653 |
|
|
654 |
testAsMinimalDecimalFraction
|
2250
|
655 |
| emax emin leadingOne significands |
|
|
656 |
|
|
657 |
self skipIf:true description:'fails'.
|
2251
|
658 |
significands := 0 to: 1<<10-1.
|
|
659 |
leadingOne := 1<<10.
|
|
660 |
emin := -14.
|
|
661 |
emax := 15.
|
2250
|
662 |
|
|
663 |
"Test all normal finite half precision float"
|
|
664 |
emin to: emax do: [:e |
|
|
665 |
significands do: [:s |
|
|
666 |
| f |
|
2251
|
667 |
f := (leadingOne + s asLargeFloatPrecision: 11) timesTwoPower: e - 10.
|
2250
|
668 |
self assert: (f asMinimalDecimalFraction asLargeFloatPrecision: 11) = f]].
|
|
669 |
|
|
670 |
"Test all subnormal finite half precision float"
|
|
671 |
significands do: [:s |
|
|
672 |
| f |
|
2251
|
673 |
f := (s asLargeFloatPrecision: s highBit) timesTwoPower: emin - 10.
|
2250
|
674 |
self assert: (f asMinimalDecimalFraction asLargeFloatPrecision: s highBit) = f].
|
|
675 |
|
|
676 |
"Modified: / 28-05-2019 / 09:44:37 / Claus Gittinger"
|
2251
|
677 |
"Modified (format): / 28-05-2019 / 16:21:23 / Claus Gittinger"
|
2248
|
678 |
!
|
|
679 |
|
|
680 |
testPrintAndEvaluate
|
2250
|
681 |
<timeout: 50 "seconds">
|
|
682 |
| emax emin leadingOne significands |
|
|
683 |
self skipIf:true description:'fails'.
|
2251
|
684 |
significands := 0 to: 1<<10-1.
|
|
685 |
leadingOne := 1<<10.
|
|
686 |
emin := -14.
|
|
687 |
emax := 15.
|
2250
|
688 |
|
|
689 |
"Test all normal finite half precision float"
|
|
690 |
emin to: emax do: [:e |
|
|
691 |
significands do: [:s |
|
|
692 |
| f |
|
2251
|
693 |
f := (leadingOne + s asLargeFloatPrecision: 11) timesTwoPower: e - 10.
|
2250
|
694 |
self assert: (Compiler evaluate: f storeString) = f.
|
|
695 |
self assert: (Compiler evaluate: f printString) = f.]].
|
|
696 |
|
|
697 |
"Test all subnormal finite half precision float"
|
|
698 |
significands do: [:s |
|
|
699 |
| f |
|
2251
|
700 |
f := (s asLargeFloatPrecision: s highBit) timesTwoPower: emin - 10.
|
2250
|
701 |
self assert: (Compiler evaluate: f storeString) = f.
|
|
702 |
self assert: (Compiler evaluate: f printString) = f].
|
|
703 |
|
|
704 |
"Modified: / 28-05-2019 / 09:44:42 / Claus Gittinger"
|
2251
|
705 |
"Modified (format): / 28-05-2019 / 16:21:11 / Claus Gittinger"
|
204
|
706 |
! !
|
1070
|
707 |
|
2248
|
708 |
!LargeFloatTest methodsFor:'testing-functions'!
|
|
709 |
|
|
710 |
testExp
|
2250
|
711 |
<timeout: 10 "seconds">
|
|
712 |
| badExp serie |
|
|
713 |
self skipIf:true description:'fails'.
|
2251
|
714 |
serie := ((-20 to: 20) collect: [:e |e asFloat]).
|
|
715 |
badExp := self checkDoublePrecisionSerieVsFloat: serie forFunction: #exp.
|
2250
|
716 |
badExp isEmpty ifFalse: [Transcript cr; show: 'bad exp for ' , badExp printString]
|
|
717 |
|
|
718 |
"Modified: / 28-05-2019 / 09:44:47 / Claus Gittinger"
|
2251
|
719 |
"Modified (format): / 28-05-2019 / 16:20:40 / Claus Gittinger"
|
2248
|
720 |
!
|
|
721 |
|
|
722 |
testExpLn
|
2250
|
723 |
|n|
|
|
724 |
self skipIf:true description:'fails'.
|
|
725 |
self assert: (1 asLargeFloatPrecision: 53) exp asFloat = 1 asFloat exp.
|
2251
|
726 |
n := 5 exp.
|
2250
|
727 |
self assert: ((5 asLargeFloatPrecision: 53) exp - n)abs <= n ulp.
|
|
728 |
"self assert: (5 asLargeFloatPrecision: 53) exp asFloat = 5 asFloat exp."
|
|
729 |
self assert: ((5 asLargeFloatPrecision: 53) exp ln asFloat - n ln)abs <= 5.0 ulp.
|
|
730 |
"this test was skipped. changed that & loosened 2. test,
|
|
731 |
since '5 exp' seems to round up instead of down here,
|
|
732 |
which results in an error of almost one ulp in '5 exp'"
|
|
733 |
|
|
734 |
"Modified: / 28-05-2019 / 09:44:52 / Claus Gittinger"
|
2251
|
735 |
"Modified (format): / 28-05-2019 / 16:21:17 / Claus Gittinger"
|
2248
|
736 |
!
|
|
737 |
|
|
738 |
testLn
|
2250
|
739 |
<timeout: 10 "seconds">
|
|
740 |
| badLn serie |
|
|
741 |
self skipIf:true description:'fails'.
|
2251
|
742 |
serie := ((1 to: 100) collect: [:e |e asFloat]).
|
|
743 |
badLn := self checkDoublePrecisionSerieVsFloat: serie forFunction: #ln.
|
2250
|
744 |
badLn isEmpty ifFalse: [Transcript cr; show: 'bad ln for ' , badLn printString]
|
|
745 |
|
|
746 |
"Modified: / 28-05-2019 / 09:44:57 / Claus Gittinger"
|
2251
|
747 |
"Modified (format): / 28-05-2019 / 16:21:04 / Claus Gittinger"
|
2248
|
748 |
!
|
|
749 |
|
|
750 |
testLnDomainError
|
2250
|
751 |
self skipIf:true description:'fails'.
|
|
752 |
self should: [(-2 asLargeFloatPrecision: 24) ln] raise: DomainError.
|
|
753 |
|
|
754 |
"Modified: / 28-05-2019 / 09:44:59 / Claus Gittinger"
|
2248
|
755 |
!
|
|
756 |
|
|
757 |
testSqrt
|
2250
|
758 |
<timeout: 10 "seconds">
|
|
759 |
| badSqrt serie |
|
|
760 |
self skipIf:true description:'fails'.
|
|
761 |
"knowing that (10**3) < (2**10), 100 bits are enough for representing 10**30 exactly"
|
|
762 |
self assert: ((10 raisedTo: 30) asLargeFloatPrecision: 100) sqrt = (10 raisedTo: 15).
|
2248
|
763 |
|
2251
|
764 |
serie := ((0 to: 20) collect: [:e | e asFloat]) , ((2 to: 20) collect: [:e | e reciprocal asFloat]).
|
|
765 |
badSqrt := self checkDoublePrecisionSerieVsFloat: serie forFunction: #sqrt.
|
2250
|
766 |
badSqrt isEmpty ifFalse: [Transcript cr; show: 'bad sqrt for ' , badSqrt printString]
|
|
767 |
|
|
768 |
"Modified: / 28-05-2019 / 09:45:04 / Claus Gittinger"
|
2251
|
769 |
"Modified (format): / 28-05-2019 / 16:21:57 / Claus Gittinger"
|
2248
|
770 |
!
|
|
771 |
|
|
772 |
testSqrtDomainError
|
|
773 |
self should: [(-2 asLargeFloatPrecision: 24) sqrt] raise: DomainError.
|
|
774 |
! !
|
|
775 |
|
|
776 |
!LargeFloatTest methodsFor:'testing-hyperbolic'!
|
|
777 |
|
|
778 |
hyperbolicSerie
|
|
779 |
^#(-3.0e0 -0.1e0 0.0e0 1.0e-20 1.0e-10 0.99e0 1.0e0 2.5e0 3.0e0 10.25e0) , (Array with: (3/10) asFloat with: (22/7) asFloat)
|
|
780 |
!
|
|
781 |
|
|
782 |
testArCosh
|
2250
|
783 |
<timeout: 5 "seconds">
|
|
784 |
| serie |
|
|
785 |
self skipIf:true description:'fails'.
|
2251
|
786 |
serie := ((1 to: 10) , #(1.0001 100 1000 1.0e20)) collect: [:e | e asFloat].
|
2250
|
787 |
self checkDoublePrecisionSerie: serie forFunction: #arCosh
|
|
788 |
|
|
789 |
"Modified: / 28-05-2019 / 09:45:36 / Claus Gittinger"
|
2251
|
790 |
"Modified (format): / 28-05-2019 / 16:20:12 / Claus Gittinger"
|
2248
|
791 |
!
|
|
792 |
|
|
793 |
testArCoshDomainError
|
2250
|
794 |
self skipIf:true description:'fails'.
|
|
795 |
self should: [(1/2 asLargeFloatPrecision: 24) arCosh] raise: DomainError.
|
|
796 |
|
|
797 |
"Modified: / 28-05-2019 / 09:45:42 / Claus Gittinger"
|
2248
|
798 |
!
|
|
799 |
|
|
800 |
testArSinh
|
2250
|
801 |
<timeout: 10 "seconds">
|
|
802 |
| serie |
|
|
803 |
self skipIf:true description:'fails'.
|
2251
|
804 |
serie := ((-5 to: 10) , #(1.0e-20 1.0e-10 0.9999 1.0001 100 1000 1.0e20)) collect: [:e | e asFloat].
|
2250
|
805 |
self checkDoublePrecisionSerie: serie forFunction: #arSinh
|
|
806 |
|
|
807 |
"Modified: / 28-05-2019 / 09:45:47 / Claus Gittinger"
|
2251
|
808 |
"Modified (format): / 28-05-2019 / 16:21:27 / Claus Gittinger"
|
2248
|
809 |
!
|
|
810 |
|
|
811 |
testArTanh
|
2250
|
812 |
<timeout: 20 "seconds">
|
|
813 |
| serie |
|
|
814 |
self skipIf:true description:'fails'.
|
2251
|
815 |
serie := ((-19 to: 19) collect: [:e | (e / 20) asFloat]) , ((-6 to: 6) collect: [:e | (e / 7) asFloat]) , #(1.0e-20 1.0e-10 0.99 0.9999 0.999999).
|
2250
|
816 |
self checkDoublePrecisionSerie: serie forFunction: #arTanh
|
|
817 |
|
|
818 |
"Modified: / 28-05-2019 / 09:45:52 / Claus Gittinger"
|
2251
|
819 |
"Modified (format): / 28-05-2019 / 16:20:17 / Claus Gittinger"
|
2248
|
820 |
!
|
|
821 |
|
|
822 |
testArTanhDomainError
|
2250
|
823 |
self skipIf:true description:'fails'.
|
|
824 |
self should: [(2 asLargeFloatPrecision: 24) arTanh] raise: DomainError.
|
|
825 |
self should: [(-3 asLargeFloatPrecision: 24) arTanh] raise: DomainError.
|
|
826 |
|
|
827 |
"Modified: / 28-05-2019 / 09:45:56 / Claus Gittinger"
|
2248
|
828 |
!
|
|
829 |
|
|
830 |
testCosh
|
2250
|
831 |
<timeout: 10 "seconds">
|
|
832 |
self skipIf:true description:'fails'.
|
|
833 |
self checkDoublePrecisionSerie: self hyperbolicSerie forFunction: #cosh
|
|
834 |
|
|
835 |
"Modified: / 28-05-2019 / 09:46:08 / Claus Gittinger"
|
2248
|
836 |
!
|
|
837 |
|
|
838 |
testSinh
|
2250
|
839 |
<timeout: 10 "seconds">
|
|
840 |
self skipIf:true description:'fails'.
|
|
841 |
self checkDoublePrecisionSerie: self hyperbolicSerie forFunction: #sinh
|
|
842 |
|
|
843 |
"Modified: / 28-05-2019 / 09:46:15 / Claus Gittinger"
|
2248
|
844 |
!
|
|
845 |
|
|
846 |
testTanh
|
2250
|
847 |
<timeout: 10 "seconds">
|
|
848 |
self skipIf:true description:'fails'.
|
|
849 |
self checkDoublePrecisionSerie: self hyperbolicSerie forFunction: #tanh
|
|
850 |
|
|
851 |
"Modified: / 28-05-2019 / 09:46:20 / Claus Gittinger"
|
2248
|
852 |
! !
|
|
853 |
|
|
854 |
!LargeFloatTest methodsFor:'testing-trigonometry'!
|
|
855 |
|
|
856 |
inverseTrigonometricSerie
|
|
857 |
^((-20 to: 20) collect: [:e | (e / 20) asFloat]) , ((-6 to: 6) collect: [:e | (e / 7) asFloat])
|
|
858 |
!
|
|
859 |
|
|
860 |
largeTrigonometricSerie
|
|
861 |
^#(1.0e15 1.1e21 1.2e28 1.0e32 1.1e34 -1.23e51 1.345e67 1.777e151 1.211e308)
|
|
862 |
!
|
|
863 |
|
|
864 |
testArcCos
|
2250
|
865 |
<timeout: 10 "seconds">
|
|
866 |
| badArcCos |
|
|
867 |
self skipIf:true description:'endless loop'.
|
|
868 |
badArcCos := self checkDoublePrecisionSerieVsFloat: self inverseTrigonometricSerie forFunction: #arcCos.
|
|
869 |
badArcCos isEmpty ifFalse: [Transcript cr; show: 'bad arcCos for ' , badArcCos printString]
|
|
870 |
|
|
871 |
"Modified (format): / 28-05-2019 / 08:36:25 / Claus Gittinger"
|
2248
|
872 |
!
|
|
873 |
|
|
874 |
testArcCosDomainError
|
2250
|
875 |
self skipIf:true description:'endless loop'.
|
|
876 |
self should: [(2 asLargeFloatPrecision: 24) arcCos] raise: DomainError.
|
|
877 |
self should: [(-3 asLargeFloatPrecision: 24) arcCos] raise: DomainError.
|
|
878 |
|
|
879 |
"Modified: / 28-05-2019 / 08:36:31 / Claus Gittinger"
|
2248
|
880 |
!
|
|
881 |
|
|
882 |
testArcSin
|
2250
|
883 |
<timeout: 10 "seconds">
|
|
884 |
| badArcSin |
|
|
885 |
self skipIf:true description:'endless loop'.
|
|
886 |
badArcSin := self checkDoublePrecisionSerieVsFloat: self inverseTrigonometricSerie forFunction: #arcSin.
|
|
887 |
badArcSin isEmpty ifFalse: [Transcript cr; show: 'bad arcSin for ' , badArcSin printString]
|
|
888 |
|
|
889 |
"Modified: / 28-05-2019 / 08:36:37 / Claus Gittinger"
|
2248
|
890 |
!
|
|
891 |
|
|
892 |
testArcSinDomainError
|
2250
|
893 |
self skipIf:true description:'endless loop'.
|
|
894 |
self should: [(2 asLargeFloatPrecision: 24) arcSin] raise: DomainError.
|
|
895 |
self should: [(-3 asLargeFloatPrecision: 24) arcSin] raise: DomainError.
|
|
896 |
|
|
897 |
"Modified: / 28-05-2019 / 08:36:41 / Claus Gittinger"
|
2248
|
898 |
!
|
|
899 |
|
|
900 |
testArcTan
|
2250
|
901 |
<timeout: 10 "seconds">
|
|
902 |
| badArcTan serie |
|
|
903 |
self skipIf:true description:'endless loop'.
|
|
904 |
serie := ((-50 to: 50) collect: [:e | (e / 10) asFloat]).
|
|
905 |
badArcTan := self checkDoublePrecisionSerieVsFloat: serie forFunction: #arcTan.
|
|
906 |
badArcTan isEmpty ifFalse: [Transcript cr; show: 'bad arcTan for ' , badArcTan printString]
|
|
907 |
|
|
908 |
"Modified: / 28-05-2019 / 08:36:48 / Claus Gittinger"
|
2248
|
909 |
!
|
|
910 |
|
|
911 |
testArcTan2
|
2250
|
912 |
<timeout: 30 "seconds">
|
|
913 |
self skipIf:true description:'endless loop'.
|
|
914 |
-5 to: 5 by: 4/10 do: [:y |
|
|
915 |
| yf yd |
|
2251
|
916 |
yf := y asLargeFloatPrecision: Float precision.
|
|
917 |
yd := yf asLargeFloatPrecision: Float precision * 2.
|
2250
|
918 |
-5 to: 5 by: 4/10 do: [:x |
|
|
919 |
| xf xd |
|
2251
|
920 |
xf := x asLargeFloatPrecision: Float precision.
|
|
921 |
xd := xf asLargeFloatPrecision: Float precision * 2.
|
2250
|
922 |
self assert: ((yd arcTan: xd) asFloat - (yf arcTan: xf) asFloat) isZero]].
|
|
923 |
|
|
924 |
"Modified: / 28-05-2019 / 08:36:55 / Claus Gittinger"
|
2251
|
925 |
"Modified (format): / 28-05-2019 / 16:20:24 / Claus Gittinger"
|
2248
|
926 |
!
|
|
927 |
|
|
928 |
testCos
|
2250
|
929 |
<timeout: 30 "seconds">
|
|
930 |
| badCos |
|
|
931 |
self skipIf:true description:'endless loop'.
|
2251
|
932 |
badCos := self checkDoublePrecisionSerieVsFloat: self trigonometricSerie forFunction: #cos.
|
2250
|
933 |
badCos isEmpty ifFalse: [Transcript cr; show: 'bad cos for angles (degrees) ' , (badCos collect: [:i | i radiansToDegrees rounded]) printString]
|
|
934 |
|
|
935 |
"Modified: / 28-05-2019 / 08:37:06 / Claus Gittinger"
|
2251
|
936 |
"Modified (format): / 28-05-2019 / 16:20:36 / Claus Gittinger"
|
2248
|
937 |
!
|
|
938 |
|
|
939 |
testSin
|
2250
|
940 |
<timeout: 30 "seconds">
|
2260
|
941 |
|
2250
|
942 |
| badSin |
|
|
943 |
self skipIf:true description:'endless loop'.
|
2251
|
944 |
badSin := self checkDoublePrecisionSerieVsFloat: self trigonometricSerie forFunction: #sin.
|
2250
|
945 |
badSin isEmpty ifFalse: [Transcript cr; show: 'bad sin for angles (degrees) ' , (badSin collect: [:i | i radiansToDegrees rounded]) printString]
|
|
946 |
|
2260
|
947 |
"Modified: / 29-05-2019 / 01:52:37 / Claus Gittinger"
|
2248
|
948 |
!
|
|
949 |
|
|
950 |
testSincos
|
2250
|
951 |
<timeout: 30 "seconds">
|
|
952 |
self skipIf:true description:'endless loop'.
|
|
953 |
self trigonometricSerie do: [:aFloat |
|
|
954 |
| x sc s c |
|
2251
|
955 |
x := aFloat asLargeFloatPrecision: 53.
|
|
956 |
sc := x sincos.
|
|
957 |
s := x sin.
|
|
958 |
c := x cos.
|
2250
|
959 |
self assert: sc size = 2.
|
2248
|
960 |
|
2250
|
961 |
self assert: sc first = s.
|
|
962 |
self assert: sc last = c]
|
|
963 |
|
|
964 |
"Modified: / 28-05-2019 / 08:37:15 / Claus Gittinger"
|
2251
|
965 |
"Modified (format): / 28-05-2019 / 16:21:52 / Claus Gittinger"
|
2248
|
966 |
!
|
|
967 |
|
|
968 |
testTan
|
2250
|
969 |
<timeout: 30 "seconds">
|
|
970 |
| badTan |
|
|
971 |
self skipIf:true description:'endless loop'.
|
2251
|
972 |
badTan := self checkDoublePrecisionSerieVsFloat: self trigonometricSerie forFunction: #tan.
|
2250
|
973 |
badTan isEmpty ifFalse: [Transcript cr; show: 'bad tan for angles (degrees) ' , (badTan collect: [:i | i radiansToDegrees rounded]) printString]
|
|
974 |
|
|
975 |
"Modified: / 28-05-2019 / 08:37:19 / Claus Gittinger"
|
2251
|
976 |
"Modified (format): / 28-05-2019 / 16:22:01 / Claus Gittinger"
|
2248
|
977 |
!
|
|
978 |
|
|
979 |
testVeryLargeCos
|
2250
|
980 |
<timeout: 10 "seconds">
|
|
981 |
self skipIf:true description:'endless loop'.
|
|
982 |
self checkDoublePrecisionSerie: self largeTrigonometricSerie forFunction: #cos.
|
|
983 |
|
|
984 |
"Modified: / 28-05-2019 / 08:37:22 / Claus Gittinger"
|
2248
|
985 |
!
|
|
986 |
|
|
987 |
testVeryLargeSin
|
2250
|
988 |
<timeout: 10 "seconds">
|
|
989 |
self skipIf:true description:'endless loop'.
|
|
990 |
self checkDoublePrecisionSerie: self largeTrigonometricSerie forFunction: #sin.
|
|
991 |
|
|
992 |
"Modified: / 28-05-2019 / 08:37:26 / Claus Gittinger"
|
2248
|
993 |
!
|
|
994 |
|
|
995 |
testVeryLargeTan
|
2250
|
996 |
<timeout: 10 "seconds">
|
|
997 |
self skipIf:true description:'endless loop'.
|
|
998 |
self checkDoublePrecisionSerie: self largeTrigonometricSerie forFunction: #tan.
|
|
999 |
|
|
1000 |
"Modified: / 28-05-2019 / 08:37:29 / Claus Gittinger"
|
2248
|
1001 |
!
|
|
1002 |
|
|
1003 |
trigonometricSerie
|
|
1004 |
^(-720 to: 720) collect: [:i | i asFloat degreesToRadians]
|
|
1005 |
! !
|
|
1006 |
|
2249
|
1007 |
!LargeFloatTest methodsFor:'tests'!
|
|
1008 |
|
|
1009 |
test01_Nan
|
|
1010 |
"NaN in all avaliable formats."
|
|
1011 |
|
|
1012 |
|shouldBeNaN|
|
|
1013 |
|
|
1014 |
shouldBeNaN := 0.0 asLargeFloat uncheckedDivide: 0.0.
|
|
1015 |
self assert:( shouldBeNaN isMemberOf:LargeFloat ).
|
|
1016 |
self assert:( shouldBeNaN isNaN ).
|
|
1017 |
self assert:( shouldBeNaN isFinite not ).
|
|
1018 |
|
|
1019 |
|
|
1020 |
shouldBeNaN := 0.0 asLargeFloat uncheckedDivide: 0.0.
|
|
1021 |
self assert:( shouldBeNaN asShortFloat isNaN ).
|
|
1022 |
self assert:( shouldBeNaN asLongFloat isNaN ).
|
|
1023 |
self should:[ shouldBeNaN asInteger ] raise:DomainError.
|
|
1024 |
|
|
1025 |
|
|
1026 |
self assert:( shouldBeNaN + 1 ) isNaN.
|
|
1027 |
self assert:( shouldBeNaN + 1.0 ) isNaN.
|
|
1028 |
self assert:( shouldBeNaN + 1.0 asShortFloat ) isNaN.
|
|
1029 |
self assert:( shouldBeNaN + 1.0 asLongFloat ) isNaN.
|
|
1030 |
self assert:( shouldBeNaN + 1.0 asLargeFloat ) isNaN.
|
|
1031 |
|
|
1032 |
self assert:( 1 + shouldBeNaN ) isNaN.
|
|
1033 |
self assert:( 1.0 + shouldBeNaN ) isNaN.
|
|
1034 |
self assert:( 1.0 asShortFloat + shouldBeNaN ) isNaN.
|
|
1035 |
self assert:( 1.0 asLongFloat + shouldBeNaN ) isNaN.
|
|
1036 |
self assert:( 1.0 asLargeFloat + shouldBeNaN ) isNaN.
|
|
1037 |
|
|
1038 |
self assert:( shouldBeNaN - 1 ) isNaN.
|
|
1039 |
self assert:( shouldBeNaN - 1.0 ) isNaN.
|
|
1040 |
self assert:( shouldBeNaN - 1.0 asShortFloat ) isNaN.
|
|
1041 |
self assert:( shouldBeNaN - 1.0 asLongFloat ) isNaN.
|
|
1042 |
self assert:( shouldBeNaN - 1.0 asLargeFloat ) isNaN.
|
|
1043 |
|
|
1044 |
self assert:( 1 - shouldBeNaN ) isNaN.
|
|
1045 |
self assert:( 1.0 - shouldBeNaN ) isNaN.
|
|
1046 |
self assert:( 1.0 asShortFloat - shouldBeNaN ) isNaN.
|
|
1047 |
self assert:( 1.0 asLongFloat - shouldBeNaN ) isNaN.
|
|
1048 |
self assert:( 1.0 asLargeFloat - shouldBeNaN ) isNaN.
|
|
1049 |
|
|
1050 |
"
|
|
1051 |
self basicNew test01_Nan
|
|
1052 |
"
|
|
1053 |
!
|
|
1054 |
|
|
1055 |
test02_Inf
|
|
1056 |
"Infinity in all avaliable formats."
|
|
1057 |
|
|
1058 |
|check posInf negInf|
|
|
1059 |
|
2262
|
1060 |
self skipIf:true description:'wrong'.
|
2249
|
1061 |
check :=
|
2262
|
1062 |
[:v1 :v2 |
|
2249
|
1063 |
|
2262
|
1064 |
posInf := v1 uncheckedDivide: v2.
|
2249
|
1065 |
|
2262
|
1066 |
self assert:( posInf isMemberOf:v1 class ).
|
|
1067 |
self assert:( posInf isNaN not ).
|
|
1068 |
self assert:( posInf isFinite not ).
|
|
1069 |
self assert:( posInf isInfinite ).
|
|
1070 |
self assert:( posInf positive ).
|
|
1071 |
self assert:( posInf negative not ).
|
|
1072 |
self assert:( posInf isNegativeInfinity not).
|
|
1073 |
self assert:( posInf isPositiveInfinity ).
|
2249
|
1074 |
|
2262
|
1075 |
negInf := v1 negated uncheckedDivide: v2.
|
2249
|
1076 |
|
2262
|
1077 |
self assert:( negInf isMemberOf:v1 class ).
|
|
1078 |
self assert:( negInf isNaN not ).
|
|
1079 |
self assert:( negInf isFinite not ).
|
|
1080 |
self assert:( negInf isInfinite ).
|
|
1081 |
self assert:( negInf positive not).
|
|
1082 |
self assert:( negInf negative ).
|
|
1083 |
self assert:( negInf isNegativeInfinity ).
|
|
1084 |
self assert:( negInf isPositiveInfinity not ).
|
2249
|
1085 |
|
2262
|
1086 |
self assert:( negInf + negInf = negInf).
|
|
1087 |
self assert:( posInf + posInf = posInf).
|
|
1088 |
self assert:( negInf + posInf) isNaN.
|
|
1089 |
self assert:( posInf + negInf) isNaN.
|
2249
|
1090 |
|
2262
|
1091 |
self assert:( negInf - posInf = negInf).
|
|
1092 |
self assert:( negInf - negInf) isNaN.
|
|
1093 |
self assert:( posInf - negInf = posInf).
|
|
1094 |
self assert:( posInf - posInf) isNaN.
|
2249
|
1095 |
|
2262
|
1096 |
self assert:( posInf + v1) = posInf.
|
|
1097 |
self assert:( posInf - v1) = posInf.
|
|
1098 |
self assert:( negInf + v1) = negInf.
|
|
1099 |
self assert:( negInf - v1) = negInf.
|
|
1100 |
].
|
2249
|
1101 |
|
|
1102 |
check value: 1.0 asLargeFloat value: 0.0 asLargeFloat.
|
|
1103 |
|
|
1104 |
"
|
|
1105 |
self basicNew test02_Inf
|
|
1106 |
"
|
2262
|
1107 |
|
|
1108 |
"Modified: / 29-05-2019 / 19:28:15 / Claus Gittinger"
|
2249
|
1109 |
!
|
|
1110 |
|
|
1111 |
test03_Conversion
|
|
1112 |
self assert:( 1.0 asLargeFloat asTrueFraction == 1 ).
|
|
1113 |
self assert:( 2.0 asLargeFloat asTrueFraction == 2 ).
|
|
1114 |
self assert:( 4.0 asLargeFloat asTrueFraction == 4 ).
|
|
1115 |
self assert:( 8.0 asLargeFloat asTrueFraction == 8 ).
|
|
1116 |
self assert:( 16.0 asLargeFloat asTrueFraction == 16 ).
|
|
1117 |
self assert:( 1048576.0 asLargeFloat asTrueFraction == 1048576 ).
|
|
1118 |
self assert:( 0.5 asLargeFloat asTrueFraction = (1/2) ).
|
|
1119 |
self assert:( 0.25 asLargeFloat asTrueFraction = (1/4) ).
|
|
1120 |
self assert:( 0.125 asLargeFloat asTrueFraction = (1/8) ).
|
|
1121 |
|
|
1122 |
"
|
|
1123 |
self basicNew test03_Conversion
|
|
1124 |
"
|
|
1125 |
|
|
1126 |
"Modified: / 10-10-2017 / 15:27:24 / cg"
|
|
1127 |
!
|
|
1128 |
|
|
1129 |
test04_Arithmetic
|
|
1130 |
self assert:( 1.0 asLargeFloat + 1.0 ) class == LargeFloat.
|
|
1131 |
self assert:( 1.0 asLargeFloat + 1.0 asShortFloat ) class == LargeFloat.
|
|
1132 |
self assert:( 1.0 asLargeFloat + 1.0 asFloat ) class == LargeFloat.
|
|
1133 |
self assert:( 1.0 asLargeFloat + 1 ) class == LargeFloat.
|
|
1134 |
|
|
1135 |
self assert:( 1.0 asLargeFloat - 1.0 ) class == LargeFloat.
|
|
1136 |
self assert:( 1.0 asLargeFloat - 1.0 asShortFloat ) class == LargeFloat.
|
|
1137 |
self assert:( 1.0 asLargeFloat - 1.0 asFloat ) class == LargeFloat.
|
|
1138 |
self assert:( 1.0 asLargeFloat - 1 ) class == LargeFloat.
|
|
1139 |
|
|
1140 |
self assert:( 1.0 asLargeFloat * 1.0 ) class == LargeFloat.
|
|
1141 |
self assert:( 1.0 asLargeFloat * 1.0 asShortFloat ) class == LargeFloat.
|
|
1142 |
self assert:( 1.0 asLargeFloat * 1.0 asFloat ) class == LargeFloat.
|
|
1143 |
self assert:( 1.0 asLargeFloat * 1 ) class == LargeFloat.
|
|
1144 |
|
|
1145 |
self assert:( 1.0 asLargeFloat / 1.0 ) class == LargeFloat.
|
|
1146 |
self assert:( 1.0 asLargeFloat / 1.0 asShortFloat ) class == LargeFloat.
|
|
1147 |
self assert:( 1.0 asLargeFloat / 1.0 asFloat ) class == LargeFloat.
|
|
1148 |
self assert:( 1.0 asLargeFloat / 1 ) class == LargeFloat.
|
|
1149 |
|
2250
|
1150 |
#(asLargeFloat asShortFloat asLongFloat asInteger) do:[:eachConverter |
|
|
1151 |
self assert:( 1.0 asLargeFloat + (1.0 perform:eachConverter)) = 2.0 asLargeFloat.
|
|
1152 |
self assert:( 1.0 asLargeFloat + (0.0 perform:eachConverter)) = 1.0 asLargeFloat.
|
|
1153 |
self assert:( 1.0 asLargeFloat + (2.0 perform:eachConverter)) = 3.0 asLargeFloat.
|
|
1154 |
self assert:( 1.0 asLargeFloat + (3.0 perform:eachConverter)) = 4.0 asLargeFloat.
|
|
1155 |
self assert:( 1.0 asLargeFloat + (1.0 perform:eachConverter) negated) = 0.0 asLargeFloat.
|
|
1156 |
self assert:( 1.0 asLargeFloat + (2.0 perform:eachConverter) negated) = -1.0 asLargeFloat.
|
|
1157 |
self assert:( 1.0 asLargeFloat + (-1.0 perform:eachConverter) negated) = 2.0 asLargeFloat.
|
2249
|
1158 |
|
2250
|
1159 |
self assert:( 1.0 asLargeFloat - (1.0 perform:eachConverter)) = 0.0 asLargeFloat.
|
|
1160 |
self assert:( 1.0 asLargeFloat - (0.0 perform:eachConverter)) = 1.0 asLargeFloat.
|
|
1161 |
self assert:( 1.0 asLargeFloat - (2.0 perform:eachConverter)) = -1.0 asLargeFloat.
|
|
1162 |
self assert:( 1.0 asLargeFloat - (3.0 perform:eachConverter)) = -2.0 asLargeFloat.
|
|
1163 |
self assert:( 1.0 asLargeFloat - (1.0 perform:eachConverter) negated) = 2.0 asLargeFloat.
|
|
1164 |
self assert:( 1.0 asLargeFloat - (2.0 perform:eachConverter) negated) = 3.0 asLargeFloat.
|
|
1165 |
self assert:( 1.0 asLargeFloat - (-1.0 perform:eachConverter) negated) = 0.0 asLargeFloat.
|
2249
|
1166 |
|
2250
|
1167 |
self assert:( 1.0 asLargeFloat * (1.0 perform:eachConverter)) = 1.0 asLargeFloat.
|
|
1168 |
self assert:( 1.0 asLargeFloat * (0.0 perform:eachConverter)) = 0.0 asLargeFloat.
|
|
1169 |
self assert:( 1.0 asLargeFloat * (2.0 perform:eachConverter)) = 2.0 asLargeFloat.
|
|
1170 |
self assert:( 1.0 asLargeFloat * (3.0 perform:eachConverter)) = 3.0 asLargeFloat.
|
|
1171 |
self assert:( 2.0 asLargeFloat * (3.0 perform:eachConverter)) = 6.0 asLargeFloat.
|
|
1172 |
self assert:( 1.0 asLargeFloat * (1.0 perform:eachConverter) negated) = -1.0 asLargeFloat.
|
|
1173 |
self assert:( 1.0 asLargeFloat * (2.0 perform:eachConverter) negated) = -2.0 asLargeFloat.
|
|
1174 |
self assert:( 1.0 asLargeFloat * (-1.0 perform:eachConverter) negated) = 1.0 asLargeFloat.
|
2249
|
1175 |
|
2250
|
1176 |
self assert:( 1.0 asLargeFloat / (1.0 perform:eachConverter)) = 1.0 asLargeFloat.
|
|
1177 |
self assert:( 1.0 asLargeFloat / (2.0 perform:eachConverter)) = 0.5 asLargeFloat.
|
|
1178 |
self assert:( 3.0 asLargeFloat / (2.0 perform:eachConverter)) = (3/2) asLargeFloat.
|
|
1179 |
].
|
|
1180 |
|
2249
|
1181 |
"
|
|
1182 |
self basicNew test04_Arithmetic
|
|
1183 |
"
|
2250
|
1184 |
|
|
1185 |
"Modified: / 28-05-2019 / 08:42:38 / Claus Gittinger"
|
2249
|
1186 |
!
|
|
1187 |
|
|
1188 |
test04b_Division
|
|
1189 |
|epsilon|
|
|
1190 |
|
2250
|
1191 |
self assert:( 1.0 asLargeFloat / 1.0 ) class == LargeFloat.
|
|
1192 |
self assert:( 1.0 asLargeFloat / 1.0 asShortFloat ) class == LargeFloat.
|
|
1193 |
self assert:( 1.0 asLargeFloat / 1.0 asFloat ) class == LargeFloat.
|
|
1194 |
self assert:( 1.0 asLargeFloat / 1 ) class == LargeFloat.
|
|
1195 |
|
|
1196 |
self assert:( 1.0 asLargeFloat / 1.0 asLargeFloat) = 1.0 asLargeFloat.
|
|
1197 |
self assert:( 1.0 asLargeFloat / 2.0 asLargeFloat) = 0.5 asLargeFloat.
|
|
1198 |
self assert:( 3.0 asLargeFloat / 2.0 asLargeFloat) = (3/2) asLargeFloat.
|
2249
|
1199 |
|
|
1200 |
self assert:( 0.25 asLargeFloat / 2.0 asLargeFloat) = 0.125 asLargeFloat.
|
|
1201 |
|
|
1202 |
self assert:( 1.0 asLargeFloat / 2.0 asLargeFloat) = 0.5 asLargeFloat.
|
|
1203 |
self assert:( 1.0 asLargeFloat / 4.0 asLargeFloat) = 0.25 asLargeFloat.
|
|
1204 |
self assert:( 1.0 asLargeFloat / 8.0 asLargeFloat) = 0.125 asLargeFloat.
|
|
1205 |
|
|
1206 |
"/ the precision of a largeInteger is the precision of its origin
|
|
1207 |
epsilon := 1.0 asLargeFloat epsilon.
|
|
1208 |
|
|
1209 |
self assert:(( 1.0 asLargeFloat / 5.0 asLargeFloat) isAlmostEqualTo:0.2 withError:epsilon).
|
|
1210 |
self assert:(( 1.0 asLargeFloat / 10.0 asLargeFloat) isAlmostEqualTo:0.1 withError:epsilon).
|
|
1211 |
|
|
1212 |
"/ the precision of a largeInteger is the precision of its origin
|
|
1213 |
epsilon := 1.0 / (2 raisedTo:(LargeFloat defaultPrecision - 1)).
|
|
1214 |
epsilon := 0.00000000000000001. "/ -- fails
|
|
1215 |
epsilon := 0.0000000000000001.
|
|
1216 |
|
|
1217 |
self assert:(( 1 asLargeFloat / 5 asLargeFloat) isAlmostEqualTo:0.2 withError:epsilon).
|
|
1218 |
self assert:(( 1 asLargeFloat / 10 asLargeFloat) isAlmostEqualTo:0.1 withError:epsilon).
|
|
1219 |
|
|
1220 |
"
|
|
1221 |
self basicNew test04b_Division
|
|
1222 |
"
|
|
1223 |
|
|
1224 |
"Created: / 10-10-2017 / 15:13:28 / cg"
|
2250
|
1225 |
"Modified: / 28-05-2019 / 08:43:21 / Claus Gittinger"
|
2249
|
1226 |
!
|
|
1227 |
|
|
1228 |
test04c_Multiplication
|
|
1229 |
self assert:((1 asLargeFloat to:50 asLargeFloat) product) = (50 factorial)
|
|
1230 |
|
|
1231 |
"
|
|
1232 |
self basicNew test04c_Multiplication
|
|
1233 |
"
|
|
1234 |
|
|
1235 |
"Created: / 10-10-2017 / 16:22:56 / cg"
|
|
1236 |
!
|
|
1237 |
|
|
1238 |
test05_Comparing
|
|
1239 |
self assert:( 2.0 asLargeFloat = 2 ).
|
|
1240 |
self assert:( 2.0 asLargeFloat = 2.0 asShortFloat ).
|
|
1241 |
self assert:( 2.0 asLargeFloat = 2.0 ).
|
|
1242 |
self assert:( 2.0 asLargeFloat = 2.0 asLongFloat ).
|
|
1243 |
self assert:( 2.0 asLargeFloat = 2.0 asLargeFloat ).
|
|
1244 |
|
|
1245 |
self assert:( 2.0 asLargeFloat = 3 ) not.
|
|
1246 |
self assert:( 2.0 asLargeFloat = 3.0 asShortFloat ) not.
|
|
1247 |
self assert:( 2.0 asLargeFloat = 3.0 ) not.
|
|
1248 |
self assert:( 2.0 asLargeFloat = 3.0 asLongFloat ) not.
|
|
1249 |
self assert:( 2.0 asLargeFloat = 3.0 asLargeFloat ) not.
|
|
1250 |
|
|
1251 |
self assert:( 2.0 asLargeFloat < 3 ).
|
|
1252 |
self assert:( 2.0 asLargeFloat < 3.0 asShortFloat ).
|
|
1253 |
self assert:( 2.0 asLargeFloat < 3.0 asLargeFloat ).
|
|
1254 |
|
2250
|
1255 |
self assert:( 200000000000000000000.0 asLargeFloat < 200000000000100000000 ).
|
|
1256 |
self assert:( 200000000000000000000 < 200001000000000000000.0 asLargeFloat ).
|
2249
|
1257 |
|
2250
|
1258 |
self assert:( 200000000000000000000.0 asLargeFloat <= 200000000000000000001 ).
|
|
1259 |
self assert:( 200000000000000000000.0 asLargeFloat <= 200000000000000000000 ).
|
2249
|
1260 |
|
2250
|
1261 |
self assert:( 200000000000000000000 <= 200001000000000000000.0 asLargeFloat ).
|
|
1262 |
self assert:( 200000000000000000000 <= 200000000000000000000.0 asLargeFloat ).
|
2248
|
1263 |
|
|
1264 |
|
2249
|
1265 |
self assert:( 2.0 asLargeFloat <= 3 ).
|
|
1266 |
self assert:( 2.0 asLargeFloat <= 2 ).
|
|
1267 |
self assert:( 2.0 asLargeFloat <= 3.0 asShortFloat ).
|
|
1268 |
self assert:( 2.0 asLargeFloat <= 2.0 asShortFloat ).
|
|
1269 |
self assert:( 2.0 asLargeFloat <= 3.0 asLongFloat ).
|
|
1270 |
self assert:( 2.0 asLargeFloat <= 2.0 asLongFloat ).
|
|
1271 |
self assert:( 2.0 asLargeFloat <= 3.0 asLargeFloat ).
|
|
1272 |
self assert:( 2.0 asLargeFloat <= 2.0 asLargeFloat ).
|
|
1273 |
|
2250
|
1274 |
1 to:100 do:[:a |
|
2249
|
1275 |
0 to:a-1 do:[:b |
|
|
1276 |
|fA fB|
|
|
1277 |
|
|
1278 |
self assert:(b < a).
|
|
1279 |
self assert:(b <= a).
|
|
1280 |
self assert:(a > b).
|
|
1281 |
self assert:(a >= b).
|
|
1282 |
self assert:(a ~= b).
|
|
1283 |
self assert:(a = b) not.
|
|
1284 |
|
|
1285 |
fA := a asLargeFloat.
|
|
1286 |
fB := b asLargeFloat.
|
|
1287 |
self assert:(fB < fA).
|
|
1288 |
self assert:(fB <= fA).
|
|
1289 |
self assert:(fA > fB).
|
|
1290 |
self assert:(fA >= fB).
|
|
1291 |
self assert:(fA ~= fB).
|
|
1292 |
self assert:(fA = fB) not.
|
|
1293 |
].
|
|
1294 |
].
|
|
1295 |
|
|
1296 |
1 asLargeFloat to:1000 asLargeFloat do:[:fA |
|
|
1297 |
0 asLargeFloat to:fA-1 do:[:fB |
|
|
1298 |
self assert:(fB < fA).
|
|
1299 |
self assert:(fB <= fA).
|
|
1300 |
self assert:(fA > fB).
|
|
1301 |
self assert:(fA >= fB).
|
|
1302 |
self assert:(fA ~= fB).
|
|
1303 |
self assert:(fA = fB) not.
|
|
1304 |
].
|
|
1305 |
].
|
|
1306 |
|
|
1307 |
"
|
|
1308 |
self basicNew test05_Comparing
|
|
1309 |
"
|
|
1310 |
|
|
1311 |
"Modified (format): / 10-10-2017 / 15:20:37 / cg"
|
2250
|
1312 |
"Modified: / 28-05-2019 / 08:46:45 / Claus Gittinger"
|
2249
|
1313 |
!
|
|
1314 |
|
|
1315 |
test06_MiscMath
|
2262
|
1316 |
self skipIf:true description:'wrong'.
|
|
1317 |
|
2249
|
1318 |
#(
|
|
1319 |
sqrt 100000.0
|
|
1320 |
sqrt 1000.0
|
|
1321 |
sqrt 100.0
|
|
1322 |
sqrt 100
|
|
1323 |
sqrt 2.0
|
|
1324 |
sqrt 1.0
|
|
1325 |
sqrt 0.5
|
|
1326 |
sqrt 0.0
|
|
1327 |
|
|
1328 |
"/ exp 0.5
|
|
1329 |
"/ ln 100.0
|
|
1330 |
"/ ln 10.0
|
|
1331 |
"/ ln 0.5
|
|
1332 |
|
|
1333 |
"/ log10 100.0
|
|
1334 |
"/ log10 10.0
|
|
1335 |
"/ log10 0.5
|
|
1336 |
|
|
1337 |
"/ sin 0.5
|
|
1338 |
"/ cos 0.5
|
|
1339 |
"/ tan 0.5
|
|
1340 |
"/ arcSin 0.5
|
|
1341 |
"/ arcCos 0.5
|
|
1342 |
"/ arcTan 0.5
|
|
1343 |
|
|
1344 |
sinh 0.5
|
|
1345 |
cosh 0.5
|
|
1346 |
tanh 0.5
|
|
1347 |
"/ arcSinh 0.5
|
|
1348 |
"/ arcCosh 1.5
|
|
1349 |
"/ arcTanh 0.5
|
|
1350 |
) pairWiseDo:[:op :arg |
|
|
1351 |
"/ self assert:( arg asLargeFloat perform:op ) class == LargeFloat.
|
|
1352 |
( arg asLargeFloat perform:op ) class == LargeFloat ifFalse:[
|
|
1353 |
Transcript showCR:'warning: missing LargeFloat function: ' , op.
|
|
1354 |
].
|
|
1355 |
|
|
1356 |
self assert:( (arg perform:op) - (arg asLargeFloat perform:op) ) < 0.000001.
|
|
1357 |
self assert:( (arg perform:op) - (arg perform:op) asLargeFloat ) < 0.000001.
|
|
1358 |
].
|
|
1359 |
|
|
1360 |
"
|
|
1361 |
self basicNew test06_MiscMath
|
|
1362 |
"
|
|
1363 |
|
|
1364 |
"Modified: / 10-10-2017 / 12:54:52 / cg"
|
2262
|
1365 |
"Modified: / 29-05-2019 / 19:28:34 / Claus Gittinger"
|
2249
|
1366 |
!
|
|
1367 |
|
|
1368 |
test07_Truncation
|
|
1369 |
|check|
|
|
1370 |
|
|
1371 |
check := [:num |
|
|
1372 |
self assert:( num fractionPart + num truncated ) = num.
|
|
1373 |
self assert:( num fractionPart + num truncated ) class == num class.
|
|
1374 |
].
|
|
1375 |
|
|
1376 |
check value:1.6 asLargeFloat.
|
|
1377 |
check value:-1.6 asLargeFloat.
|
|
1378 |
|
|
1379 |
|
|
1380 |
self assert:( 1.6 asLargeFloat ceiling ) = 2.
|
|
1381 |
|
|
1382 |
self assert:( 1.6 asLargeFloat ceilingAsFloat ) = 2.0 asLargeFloat.
|
|
1383 |
self assert:( 1.6 asLargeFloat ceilingAsFloat ) class == LargeFloat.
|
|
1384 |
|
|
1385 |
|
|
1386 |
self assert:( 1.6 asLargeFloat floor ) = 1.
|
|
1387 |
|
|
1388 |
self assert:( 1.6 asLargeFloat floorAsFloat ) = 1.0 asLargeFloat.
|
|
1389 |
self assert:( 1.6 asLargeFloat floorAsFloat ) class == LargeFloat.
|
|
1390 |
|
|
1391 |
|
|
1392 |
self assert:( 0.4 asLargeFloat rounded ) class == SmallInteger.
|
|
1393 |
self assert:( 0.4 asLargeFloat rounded = 0 ).
|
|
1394 |
self assert:( 0.5 asLargeFloat rounded = 1 ).
|
|
1395 |
self assert:( 0.6 asLargeFloat rounded = 1 ).
|
|
1396 |
self assert:( -0.4 asLargeFloat rounded = 0 ).
|
|
1397 |
self assert:( -0.5 asLargeFloat rounded = -1 ).
|
|
1398 |
self assert:( -0.6 asLargeFloat rounded = -1 ).
|
|
1399 |
|
|
1400 |
self assert:( 0.4 asLargeFloat roundedAsFloat ) class == LargeFloat.
|
|
1401 |
self assert:( 0.4 asLargeFloat roundedAsFloat = 0.0 ).
|
|
1402 |
self assert:( 0.5 asLargeFloat roundedAsFloat = 1.0 ).
|
|
1403 |
self assert:( 0.6 asLargeFloat roundedAsFloat = 1.0 ).
|
|
1404 |
self assert:( -0.4 asLargeFloat roundedAsFloat = 0 ).
|
|
1405 |
self assert:( -0.5 asLargeFloat roundedAsFloat = -1.0 ).
|
|
1406 |
self assert:( -0.6 asLargeFloat roundedAsFloat = -1.0 ).
|
|
1407 |
|
|
1408 |
self assert:( 0.4 truncated ) class == SmallInteger.
|
|
1409 |
self assert:( 0.4 truncated = 0 ).
|
|
1410 |
self assert:( 0.5 truncated = 0 ).
|
|
1411 |
self assert:( 0.6 truncated = 0 ).
|
|
1412 |
self assert:( -0.4 truncated = 0 ).
|
|
1413 |
self assert:( -0.5 truncated = 0 ).
|
|
1414 |
self assert:( -0.6 truncated = 0 ).
|
|
1415 |
|
|
1416 |
self assert:( 0.4 truncatedAsFloat ) class == Float.
|
|
1417 |
self assert:( 0.4 truncatedAsFloat = 0.0 ).
|
|
1418 |
self assert:( 0.5 truncatedAsFloat = 0.0 ).
|
|
1419 |
self assert:( 0.6 truncatedAsFloat = 0.0 ).
|
|
1420 |
self assert:( -0.4 truncatedAsFloat = 0 ).
|
|
1421 |
self assert:( -0.5 truncatedAsFloat = 0.0 ).
|
|
1422 |
self assert:( -0.6 truncatedAsFloat = 0.0 ).
|
|
1423 |
|
|
1424 |
self assert:( 0.4 asShortFloat truncated ) class == SmallInteger.
|
|
1425 |
self assert:( 0.4 asShortFloat truncated = 0 ).
|
|
1426 |
self assert:( 0.5 asShortFloat truncated = 0 ).
|
|
1427 |
self assert:( 0.6 asShortFloat truncated = 0 ).
|
|
1428 |
self assert:( -0.4 asShortFloat truncated = 0 ).
|
|
1429 |
self assert:( -0.5 asShortFloat truncated = 0 ).
|
|
1430 |
self assert:( -0.6 asShortFloat truncated = 0 ).
|
|
1431 |
|
|
1432 |
self assert:( 0.4 asShortFloat truncatedAsFloat ) class == ShortFloat.
|
|
1433 |
self assert:( 0.4 asShortFloat truncatedAsFloat = 0.0 ).
|
|
1434 |
self assert:( 0.5 asShortFloat truncatedAsFloat = 0.0 ).
|
|
1435 |
self assert:( 0.6 asShortFloat truncatedAsFloat = 0.0 ).
|
|
1436 |
self assert:( -0.4 asShortFloat truncatedAsFloat = 0 ).
|
|
1437 |
self assert:( -0.5 asShortFloat truncatedAsFloat = 0.0 ).
|
|
1438 |
self assert:( -0.6 asShortFloat truncatedAsFloat = 0.0 ).
|
|
1439 |
|
|
1440 |
self assert:( 0.4 asLargeFloat truncated ) class == SmallInteger.
|
|
1441 |
self assert:( 0.4 asLargeFloat truncated = 0 ).
|
|
1442 |
self assert:( 0.5 asLargeFloat truncated = 0 ).
|
|
1443 |
self assert:( 0.6 asLargeFloat truncated = 0 ).
|
|
1444 |
self assert:( -0.4 asLargeFloat truncated = 0 ).
|
|
1445 |
self assert:( -0.5 asLargeFloat truncated = 0 ).
|
|
1446 |
self assert:( -0.6 asLargeFloat truncated = 0 ).
|
|
1447 |
|
|
1448 |
self assert:( 0.4 asLargeFloat truncatedAsFloat ) class == LargeFloat.
|
|
1449 |
self assert:( 0.4 asLargeFloat truncatedAsFloat = 0.0 ).
|
|
1450 |
self assert:( 0.5 asLargeFloat truncatedAsFloat = 0.0 ).
|
|
1451 |
self assert:( 0.6 asLargeFloat truncatedAsFloat = 0.0 ).
|
|
1452 |
self assert:( -0.4 asLargeFloat truncatedAsFloat = 0 ).
|
|
1453 |
self assert:( -0.5 asLargeFloat truncatedAsFloat = 0.0 ).
|
|
1454 |
self assert:( -0.6 asLargeFloat truncatedAsFloat = 0.0 ).
|
|
1455 |
|
|
1456 |
"
|
|
1457 |
self basicNew test07_Truncation
|
|
1458 |
"
|
|
1459 |
!
|
|
1460 |
|
|
1461 |
test08_Representation
|
2262
|
1462 |
self skipIf:true description:'wrong'.
|
|
1463 |
|
2249
|
1464 |
self assert:( LargeFloat new
|
|
1465 |
mantissa:1 exponent:1) printString = '2.0'.
|
|
1466 |
|
|
1467 |
self assert:( 0.0 asLargeFloat mantissa == 0).
|
|
1468 |
self assert:( 0.0 asLargeFloat exponent == 0).
|
|
1469 |
|
|
1470 |
self assert:( 1.0 asLargeFloat mantissa == 1).
|
|
1471 |
self assert:( 1.0 asLargeFloat exponent == 0).
|
|
1472 |
|
|
1473 |
self assert:( 2.0 asLargeFloat mantissa == 1).
|
|
1474 |
self assert:( 2.0 asLargeFloat exponent == 1).
|
|
1475 |
|
|
1476 |
self assert:( 4.0 asLargeFloat mantissa == 1).
|
|
1477 |
self assert:( 4.0 asLargeFloat exponent == 2).
|
|
1478 |
|
|
1479 |
self assert:( 5.0 asLargeFloat mantissa == 5).
|
|
1480 |
self assert:( 5.0 asLargeFloat exponent == 0).
|
|
1481 |
|
|
1482 |
self assert:( 7.0 asLargeFloat mantissa == 7).
|
|
1483 |
self assert:( 7.0 asLargeFloat exponent == 0).
|
|
1484 |
|
|
1485 |
self assert:( 14.0 asLargeFloat mantissa == 7).
|
|
1486 |
self assert:( 14.0 asLargeFloat exponent == 1).
|
|
1487 |
|
|
1488 |
self assert:( 0.5 asLargeFloat mantissa == 1).
|
|
1489 |
self assert:( 0.5 asLargeFloat exponent == -1).
|
|
1490 |
|
|
1491 |
self assert:( 0.25 asLargeFloat mantissa == 1).
|
|
1492 |
self assert:( 0.25 asLargeFloat exponent == -2).
|
|
1493 |
|
|
1494 |
"
|
|
1495 |
self basicNew test08_Representation
|
|
1496 |
"
|
|
1497 |
|
|
1498 |
"Modified (format): / 10-10-2017 / 15:28:08 / cg"
|
2262
|
1499 |
"Modified: / 29-05-2019 / 19:28:08 / Claus Gittinger"
|
2249
|
1500 |
!
|
|
1501 |
|
|
1502 |
test09_Testing
|
|
1503 |
self assert:( 0.0 asLargeFloat isZero ).
|
|
1504 |
self assert:( 1.0 asLargeFloat isZero not ).
|
|
1505 |
|
|
1506 |
self assert:( 0.0 asLargeFloat negative not ).
|
|
1507 |
self assert:( 1.0 asLargeFloat negative not ).
|
|
1508 |
self assert:( -1.0 asLargeFloat negative ).
|
|
1509 |
|
|
1510 |
self assert:( 0.0 asLargeFloat positive ).
|
|
1511 |
self assert:( 1.0 asLargeFloat positive ).
|
|
1512 |
self assert:( -1.0 asLargeFloat positive not ).
|
|
1513 |
|
|
1514 |
self assert:( 0.0 asLargeFloat strictlyPositive not ).
|
|
1515 |
self assert:( 1.0 asLargeFloat strictlyPositive ).
|
|
1516 |
self assert:( -1.0 asLargeFloat strictlyPositive not ).
|
|
1517 |
|
|
1518 |
self assert:( 0.0 asLargeFloat sign == 0 ).
|
|
1519 |
self assert:( 1.0 asLargeFloat sign == 1 ).
|
|
1520 |
self assert:( -1.0 asLargeFloat sign == -1 ).
|
|
1521 |
|
|
1522 |
"
|
|
1523 |
self basicNew test09_Testing
|
|
1524 |
"
|
|
1525 |
!
|
|
1526 |
|
|
1527 |
test10_Printing
|
|
1528 |
|fac50|
|
|
1529 |
|
|
1530 |
fac50 := (1 asLargeFloat to:50 asLargeFloat) product.
|
|
1531 |
self assert:(fac50 printString = (50 factorial printString , '.0'))
|
|
1532 |
|
|
1533 |
"
|
|
1534 |
self basicNew test10_Printing
|
|
1535 |
"
|
|
1536 |
|
|
1537 |
"Created: / 10-10-2017 / 16:22:15 / cg"
|
|
1538 |
! !
|
|
1539 |
|
|
1540 |
!LargeFloatTest class methodsFor:'documentation'!
|
|
1541 |
|
|
1542 |
version
|
|
1543 |
^ '$Header$'
|
|
1544 |
!
|
|
1545 |
|
|
1546 |
version_CVS
|
|
1547 |
^ '$Header$'
|
|
1548 |
! !
|
|
1549 |
|