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Merge pull request #74 from PolyMathOrg/development
Release v0.102
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| Original file line number | Diff line number | Diff line change |
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| " | ||
| I store metadata for this package. These meta data are used by other tools such as the SmalllintManifestChecker and the critics Browser | ||
| " | ||
| Class { | ||
| #name : #ManifestMathPermutation, | ||
| #superclass : #PackageManifest, | ||
| #category : #'Math-Permutation' | ||
| } | ||
|
|
||
| { #category : #'code-critics' } | ||
| ManifestMathPermutation class >> ruleRBCollectionProtocolRuleV1FalsePositive [ | ||
| ^ #(#(#(#RGMethodDefinition #(#'Permutation class' #generator: #true)) #'2018-07-07T11:52:50.239421+02:00') ) | ||
| ] | ||
|
|
||
| { #category : #'code-critics' } | ||
| ManifestMathPermutation class >> ruleRBModifiesCollectionRuleV1FalsePositive [ | ||
| ^ #(#(#(#RGMethodDefinition #(#'Permutation class' #generator: #true)) #'2018-07-07T11:52:46.085547+02:00') ) | ||
| ] | ||
|
|
||
| { #category : #'code-critics' } | ||
| ManifestMathPermutation class >> ruleRBSendsDifferentSuperRuleV1FalsePositive [ | ||
| ^ #(#(#(#RGMetaclassDefinition #(#'Permutation class' #PMPermutation)) #'2018-07-07T11:53:26.042043+02:00') ) | ||
| ] | ||
|
|
||
| { #category : #'code-critics' } | ||
| ManifestMathPermutation class >> ruleRBSuperSendsRuleV1FalsePositive [ | ||
| ^ #(#(#(#RGMetaclassDefinition #(#'Permutation class' #PMPermutation)) #'2018-07-07T11:53:19.542428+02:00') ) | ||
| ] | ||
|
|
||
| { #category : #'code-critics' } | ||
| ManifestMathPermutation class >> ruleRBTempsReadBeforeWrittenRuleV1FalsePositive [ | ||
| ^ #(#(#(#RGMethodDefinition #(#'Permutation class' #stirling1:over: #true)) #'2018-07-07T11:54:16.87423+02:00') ) | ||
| ] | ||
|
|
||
| { #category : #'code-critics' } | ||
| ManifestMathPermutation class >> ruleRBToDoRuleV1FalsePositive [ | ||
| ^ #(#(#(#RGMetaclassDefinition #(#'Permutation class' #PMPermutation)) #'2018-07-07T11:54:04.307575+02:00') ) | ||
| ] |
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| Original file line number | Diff line number | Diff line change |
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| @@ -0,0 +1,256 @@ | ||
| " | ||
| Permutation is an Array, that - if it's reduced - consists of the numbers from (1 to: self size) in the original order. | ||
| example: | ||
| Permutation ordering: #(5 4 1). -> a Permutation(3 2 1) | ||
| you can think of a permutation as a positioning specification for a SequentialCollection. | ||
| another example: | ||
| a:=Permutation randomPermutation: 4. -> a Permutation(1 4 2 3) | ||
| a permute: #(a b cd e). -> #(#a #e #b #cd) | ||
| yet another one: | ||
| Permutation ordering: #(a e b cd). ""a Permutation(1 4 2 3)"" | ||
| " | ||
| Class { | ||
| #name : #PMPermutation, | ||
| #superclass : #Array, | ||
| #type : #variable, | ||
| #classVars : [ | ||
| 'RandomGenerator' | ||
| ], | ||
| #category : #'Math-Permutation' | ||
| } | ||
|
|
||
| { #category : #accessing } | ||
| PMPermutation class >> allOfSize: anInteger [ | ||
| "generates all permutations of the given size, in other words it produces the symmetric group of degree anInteger. | ||
| Heap's algorithm, used here, seems to be just a tiny bit faster than using #permutationsDo:" | ||
| | result perm c i ci| | ||
| anInteger = 0 ifTrue:[^#()]. | ||
| perm := self identity: anInteger. | ||
| (result := WriteStream on:(Array new: anInteger factorial)) nextPut: perm copy. | ||
| c := Array new: anInteger withAll: 1. | ||
| i := 1. | ||
| [ i <= anInteger ] | ||
| whileTrue: [ | ||
| (ci :=(c at: i)) < i | ||
| ifTrue: [ | ||
| i odd | ||
| ifTrue: [ perm swap: 1 with: i ] | ||
| ifFalse: [ perm swap: ci with: i ]. | ||
| result nextPut: perm copy. | ||
| c at: i put: ci + 1. | ||
| i := 1 ] | ||
| ifFalse: [ c at: i put: 1. i := i + 1 ] ]. | ||
| ^ result contents | ||
| ] | ||
|
|
||
| { #category : #'instance creation' } | ||
| PMPermutation class >> fromCycles: aCollectionofCollections [ | ||
| | length | | ||
| length := aCollectionofCollections flattened. | ||
| length := length isEmpty | ||
| ifTrue: [ 0 ] | ||
| ifFalse: [ length max ]. | ||
| ^ self size: length fromCycles: aCollectionofCollections | ||
| ] | ||
|
|
||
| { #category : #accessing } | ||
| PMPermutation class >> generator:arrayOfPermutations [ | ||
| |f max generators| | ||
| max:=(arrayOfPermutations collect:[:g|g size])max. | ||
| generators:=arrayOfPermutations collect:[:g| g extendTo: max]. | ||
| f:=PMFixpoint | ||
| block: [ :s| |aSet| | ||
| aSet:=Set newFrom: s. | ||
| s do:[:p|s do:[:q| | ||
| aSet add:(p permute:q)]]. | ||
| aSet] | ||
| value: generators. | ||
| f verbose:false. | ||
| ^f evaluate asArray. | ||
|
|
||
| ] | ||
|
|
||
| { #category : #'instance creation' } | ||
| PMPermutation class >> identity: size [ | ||
| ^ super withAll: (1 to: size) | ||
| ] | ||
|
|
||
| { #category : #'instance creation' } | ||
| PMPermutation class >> newFrom: aCollection [ | ||
| "returns the unreduced form, for a reduced form use #ordering:. | ||
| uses super withAll: since this way a primitive can be used, which is generally much faster than super newFrom:" | ||
| ^( super withAll: aCollection ) | ||
| ] | ||
|
|
||
| { #category : #'instance creation' } | ||
| PMPermutation class >> ordering: aCollection [ | ||
| "use #newFrom: for an unreduced Permutation! but then most things won't work before you call #reduce. | ||
| aCollection must consist of elements that can be sorted via #<=" | ||
| ^( super withAll: aCollection ) reduce | ||
| ] | ||
|
|
||
| { #category : #accessing } | ||
| PMPermutation class >> randomGenerator [ | ||
| ^RandomGenerator ifNil: [ RandomGenerator := Random new ] | ||
| ] | ||
|
|
||
| { #category : #'instance creation' } | ||
| PMPermutation class >> randomPermutation: size [ | ||
| ^self ordering: (self randomGenerator next:size) | ||
| ] | ||
|
|
||
| { #category : #'instance creation' } | ||
| PMPermutation class >> size: anInteger fromCycles: aCollectionofCollections [ | ||
| | result | | ||
| result := self identity: anInteger. | ||
| aCollectionofCollections do: [ :cycle | | ||
| 1 to: cycle size do: [ :i | | ||
| result at: (cycle at: i) put: (cycle atWrap: i + 1) ] ]. | ||
| ^ result | ||
| ] | ||
|
|
||
| { #category : #'instance creation' } | ||
| PMPermutation class >> size: size shift: aNumber [ | ||
| "number positive -> leftshift, negative -> rightshift" | ||
| ^ (super withAll: (1 to: size) )shift: aNumber | ||
| ] | ||
|
|
||
| { #category : #accessing } | ||
| PMPermutation class >> stirling1:anInteger over:anotherInteger [ | ||
| "unsigned Stirling number of the first kind: the number of permutations of size anInteger with anotherInteger number of cycles" | ||
| |block| | ||
| block:=[:nandk||n k| | ||
| n:=nandk first. | ||
| k:=nandk second. | ||
| (n=k and:[n isZero]) | ||
| ifTrue:[1] | ||
| ifFalse:[ (n * k) isZero | ||
| ifTrue:[0] | ||
| ifFalse:[ (block value:{n-1.k-1})+((n-1)*(block value:{n-1.k}))]]]memoized . | ||
| ^block value:{anInteger . anotherInteger } | ||
| ] | ||
|
|
||
| { #category : #converting } | ||
| PMPermutation >> asCycles [ | ||
| | unused start next result cycle | | ||
| unused := (1 to: self size) asOrderedCollection. | ||
| result := OrderedCollection new. | ||
| [ unused isEmpty ] | ||
| whileFalse: [ | ||
| next := start := unused first. | ||
| cycle := OrderedCollection new. | ||
| [ cycle add: (unused remove: next). | ||
| next := self at: next ] doWhileFalse: [ next = start ]. | ||
| result add: cycle asArray ]. | ||
| ^ result asArray | ||
| ] | ||
|
|
||
| { #category : #converting } | ||
| PMPermutation >> asMatrix [ | ||
| ^ PMMatrix | ||
| rows: | ||
| (self asPMVector | ||
| collect: [ :n | | ||
| (PMVector new: self size) | ||
| atAllPut: 0; | ||
| at: n put: 1; | ||
| yourself ]) | ||
| ] | ||
|
|
||
| { #category : #applying } | ||
| PMPermutation >> discriminant [ | ||
| ^self size - self asCycles size | ||
| ] | ||
|
|
||
| { #category : #testing } | ||
| PMPermutation >> even [ | ||
| ^self odd not | ||
| ] | ||
|
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||
| { #category : #applying } | ||
| PMPermutation >> extendTo: size [ | ||
| | c | | ||
| size=self size ifTrue: [ ^self copy ]. | ||
| c := self class identity: size. | ||
| c | ||
| replaceFrom: 1 | ||
| to: self size | ||
| with: self | ||
| startingAt: 1. | ||
| ^ c | ||
| ] | ||
|
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||
| { #category : #applying } | ||
| PMPermutation >> inverse [ | ||
| |c| | ||
| c:=self class new:self size. | ||
| 1 to: self size do: [:i | c at: i put: (self indexOf: i)]. | ||
| ^c | ||
| ] | ||
|
|
||
| { #category : #testing } | ||
| PMPermutation >> isCollection [ | ||
| "pffh, i found this useful, but i dont remember anymore why." | ||
| ^ false | ||
| ] | ||
|
|
||
| { #category : #testing } | ||
| PMPermutation >> odd [ | ||
| "using the number of transpositions is faster than using the number of inversions" | ||
| ^self discriminant odd. | ||
| ] | ||
|
|
||
| { #category : #applying } | ||
| PMPermutation >> permute: aSequentialCollection [ | ||
| | s c | | ||
| (s := aSequentialCollection size) < self size | ||
| ifTrue: [ aSequentialCollection class==self class | ||
| ifTrue: [ ^ self permute: (aSequentialCollection extendTo: self size) ] | ||
| ifFalse: [ ^ SizeMismatch signal ] ]. | ||
| c := aSequentialCollection copy. | ||
| 1 to: self size do: [ :i | c at: i put: (aSequentialCollection at: (self at: i)) ]. | ||
| ^ c | ||
| ] | ||
|
|
||
| { #category : #private } | ||
| PMPermutation >> reduce [ | ||
| "automatically used only in #withAll: so far" | ||
| | sorted range | | ||
| (sorted := self sorted) = (range := 1 to: self size) | ||
| ifTrue: [ ^ self ]. | ||
| self size = self asSet size | ||
| ifFalse: [ ^ self error: 'Permutation has doubles' ]. | ||
| range do: [ :n | self at: n put: (sorted indexOf: (self at: n)) ] | ||
| ] | ||
|
|
||
| { #category : #converting } | ||
| PMPermutation >> reversed [ | ||
| "copy of SequenceableCollection>>reversed, but uses class instead of species." | ||
| | n result src | | ||
| n := self size. | ||
| result := self class new: n. | ||
| src := n + 1. | ||
| 1 to: n do: [:i | result at: i put: (self at: (src := src - 1))]. | ||
| ^ result | ||
| ] | ||
|
|
||
| { #category : #converting } | ||
| PMPermutation >> shift: anInteger [ | ||
| "number positive -> leftshift, negative -> rightshift. | ||
| does _not_ return a new Permutation!" | ||
| | n c | | ||
| self ifEmpty: [ ^ self ]. | ||
| n := anInteger \\ self size. | ||
| c := self copy. | ||
| self | ||
| replaceFrom: 1 to: self size - n with: c startingAt: n + 1; | ||
| replaceFrom: self size - n + 1 to: self size with: c startingAt: 1 | ||
| ] | ||
|
|
||
| { #category : #private } | ||
| PMPermutation >> species [ | ||
| ^ Array | ||
| ] |
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