mirror of
https://github.com/apache/commons-math.git
synced 2025-02-07 18:49:40 +00:00
added a few UML diagrams.
The diagrams are not used in the documentation yet, they are only kept for reference and may be removed later. git-svn-id: https://svn.apache.org/repos/asf/commons/proper/math/trunk@1383287 13f79535-47bb-0310-9956-ffa450edef68
This commit is contained in:
Luc Maisonobe
parent
5998035a9f
commit
e0557c2c89
105
src/site/design/differentiation.puml
Normal file
105
src/site/design/differentiation.puml
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@ -0,0 +1,105 @@
|
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' Licensed to the Apache Software Foundation (ASF) under one or more
|
||||
' contributor license agreements. See the NOTICE file distributed with
|
||||
' this work for additional information regarding copyright ownership.
|
||||
' The ASF licenses this file to You under the Apache License, Version 2.0
|
||||
' (the "License"); you may not use this file except in compliance with
|
||||
' the License. You may obtain a copy of the License at
|
||||
'
|
||||
' http://www.apache.org/licenses/LICENSE-2.0
|
||||
'
|
||||
' Unless required by applicable law or agreed to in writing, software
|
||||
' distributed under the License is distributed on an "AS IS" BASIS,
|
||||
' WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||
' See the License for the specific language governing permissions and
|
||||
' limitations under the License.
|
||||
|
||||
@startuml
|
||||
|
||||
skinparam svek true
|
||||
skinparam ClassBackgroundColor #F3EFEB
|
||||
skinparam ClassArrowColor #691616
|
||||
skinparam ClassBorderColor #691616
|
||||
skinparam NoteBackgroundColor #F3EFEB
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skinparam NoteBorderColor #691616
|
||||
skinparam NoteFontColor #691616
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skinparam ClassFontSize 11
|
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|
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package org.apache.commons.math3 #ECEBD8
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interface "FieldElement<T>" as FieldElement_T_ {
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T add(T a)
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T subtract(T a)
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T negate()
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T multiply(int n)
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T multiply(T a)
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T divide(T a)
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T reciprocal()
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Field<T> getField()
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}
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package analysis #DDEBD8
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interface UnivariateFunction {
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double value(double x)
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}
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package differentiation #DDDBD8
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class DerivativeStructure {
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-DerivativeStructure(DSCompiler compiler)
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+DerivativeStructure(int parameters, int order, double value)
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+DerivativeStructure(int parameters, int order, int index, double value)
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+int getFreeParameters()
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+int getOrder()
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+double getValue()
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+double getPartialDerivative(int[] orders)
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+double taylor(double[] delta)
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+int getExponent()
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+DerivativeStructure compose(double[] f)
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+DerivativeStructure cos()
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+DerivativeStructure sin()
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+DerivativeStructure exp()
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+DerivativeStructure sqrt()
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}
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note bottom
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lots of mathematical methods
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and constructors ommitted for clarity
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end note
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class DSCompiler {
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{static} +DSCompiler getCompiler(int parameters, int order)
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+int getPartialDerivativeIndex(int[] orders)
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+int[] getPartialDerivativeOrders(int index)
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+int getFreeParameters()
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+int getOrder()
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+int getSize()
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+void checkCompatibility(DSCompiler compiler)
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+void compose(double[] operand, int operandOffset, double[] f, double[] result, int resultOffset)
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+double taylor(double[] ds, int dsOffset, double[] delta)
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+void add(double[] lhs, int lhsOffset, double[] rhs, int rhsOffset, double[] result, int resultOffset)
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+void exp(double[] operand, int operandOffset, double[] result, int resultOffset)
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}
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note bottom
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one compiler is built for each pair
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(number of parameters, derivation order)
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they are cached for efficiency
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end note
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interface UnivariateDifferentiable {
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DerivativeStructure value(DerivativeStructure t)
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}
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interface UnivariateDifferentiator {
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UnivariateDifferentiable differentiate(UnivariateFunction function)
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}
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FieldElement_T_ <.. DerivativeStructure
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DerivativeStructure o--> "1" DSCompiler : delegates computation
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UnivariateFunction <|.. UnivariateDifferentiable
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UnivariateDifferentiable <-- UnivariateDifferentiator : creates
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UnivariateDifferentiable --> DerivativeStructure : uses
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end package
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end package
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end package
|
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|
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@enduml
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81
src/site/design/oneD.puml
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81
src/site/design/oneD.puml
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@ -0,0 +1,81 @@
|
||||
' Licensed to the Apache Software Foundation (ASF) under one or more
|
||||
' contributor license agreements. See the NOTICE file distributed with
|
||||
' this work for additional information regarding copyright ownership.
|
||||
' The ASF licenses this file to You under the Apache License, Version 2.0
|
||||
' (the "License"); you may not use this file except in compliance with
|
||||
' the License. You may obtain a copy of the License at
|
||||
'
|
||||
' http://www.apache.org/licenses/LICENSE-2.0
|
||||
'
|
||||
' Unless required by applicable law or agreed to in writing, software
|
||||
' distributed under the License is distributed on an "AS IS" BASIS,
|
||||
' WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||
' See the License for the specific language governing permissions and
|
||||
' limitations under the License.
|
||||
|
||||
@startuml
|
||||
|
||||
skinparam svek true
|
||||
skinparam ClassBackgroundColor #F3EFEB
|
||||
skinparam ClassArrowColor #691616
|
||||
skinparam ClassBorderColor #691616
|
||||
skinparam NoteBackgroundColor #F3EFEB
|
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skinparam NoteBorderColor #691616
|
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skinparam NoteFontColor #691616
|
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skinparam ClassFontSize 11
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|
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package org.apache.commons.math3.geometry #ECEBD8
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|
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interface Space {
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+int getDimension()
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+Space getSubSpace()
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||||
}
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note top
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Space is mainly used as a parameter
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for generics and to link d-dimensional
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space with (d-1)-dimensional space
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end note
|
||||
|
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interface "Vector<S extends Space>" as Vector_S_ {
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+Space getSpace()
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+Vector getZero()
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+double getNorm()
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+Vector add()
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+Vector subtract()
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+Vector negate()
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+Vector normalize()
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+Vector scalarMultiply()
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+boolean isNaN()
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+boolean isInfinite()
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+double distance()
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+double dotProduct()
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}
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Space <-- Vector_S_
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package partitioning #DDEBD8
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interface "Region<S extends Space>" as Region_S_
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interface "Hyperplane<S extends Space>" as Hyperplane_S_
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interface "SubHyperplane<S extends Space>" as SubHyperplane_S_
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end package
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package euclidean #DDEBD8
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package oned #DDDBD8
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class Euclidean1D
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class OrientedPoint
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class Interval
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class IntervalSet
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Space <|.. Euclidean1D
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Vector_S_ <|.. OrientedPoint
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Region_S_ <|.. IntervalSet
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|
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end package
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end package
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|
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end package
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|
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@enduml
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119
src/site/design/partitioning.puml
Normal file
119
src/site/design/partitioning.puml
Normal file
@ -0,0 +1,119 @@
|
||||
' Licensed to the Apache Software Foundation (ASF) under one or more
|
||||
' contributor license agreements. See the NOTICE file distributed with
|
||||
' this work for additional information regarding copyright ownership.
|
||||
' The ASF licenses this file to You under the Apache License, Version 2.0
|
||||
' (the "License"); you may not use this file except in compliance with
|
||||
' the License. You may obtain a copy of the License at
|
||||
'
|
||||
' http://www.apache.org/licenses/LICENSE-2.0
|
||||
'
|
||||
' Unless required by applicable law or agreed to in writing, software
|
||||
' distributed under the License is distributed on an "AS IS" BASIS,
|
||||
' WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||
' See the License for the specific language governing permissions and
|
||||
' limitations under the License.
|
||||
|
||||
@startuml
|
||||
|
||||
skinparam svek true
|
||||
skinparam ClassBackgroundColor #F3EFEB
|
||||
skinparam ClassArrowColor #691616
|
||||
skinparam ClassBorderColor #691616
|
||||
skinparam NoteBackgroundColor #F3EFEB
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||||
skinparam NoteBorderColor #691616
|
||||
skinparam NoteFontColor #691616
|
||||
skinparam ClassFontSize 11
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||||
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package org.apache.commons.math3.geometry #ECEBD8
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package partitioning #DDEBD8
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abstract "AbstractSubHyperplane<S extends Space, T extends Space>" as AbstractSubHyperplane_S_T_
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note left
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an abstract sub-hyperplane contains
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- an hyperplane defined in space S
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- a region defined in space T
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T being a sub-space of S
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end note
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|
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interface "Hyperplane<S extends Space>" as Hyperplane_S_ {
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+double getOffset(Vector point)
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+boolean sameOrientationAs(Hyperplane other)
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+SubHyperplane wholeHyperplane()
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+Region wholeSpace()
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}
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interface "SubHyperplane<S extends Space>" as SubHyperplane_S_ {
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+Hyperplane getHyperplane()
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+boolean isEmpty()
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+double getSize()
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+Side side(Hyperplane hyperplane)
|
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+SplitSubHyperplane split(Hyperplane hyperplane)
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+SubHyperplane reunite(SubHyperplane other)
|
||||
}
|
||||
|
||||
class "BSPTree<S extends Space>" as BSPTree_S_ {
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+boolean insertCut(Hyperplane hyperplane)
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+void setAttribute(Object attribute)
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+Object getAttribute()
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+void visit(BSPTreeVisitor visitor)
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+BSPTree getCell(Vector point)
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+BSPTree split(SubHyperplane sub)
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}
|
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|
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interface "BSPTreeVisitor<S extends Space>" as BSPTreeVisitor_S_ {
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+Order visitOrder(BSPTree node)
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+void visitInternalNode(BSPTree node)
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+void visitLeafNode(BSPTree node)
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||||
}
|
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|
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interface "Region<S extends Space>" as Region_S_ {
|
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+boolean isEmpty()
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||||
+boolean contains(Region region)
|
||||
+Location checkPoint(Vector point)
|
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+double getBoundarySize()
|
||||
+double getSize()
|
||||
+Vector getBarycenter()
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+Side side(Hyperplane hyperplane)
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||||
+SubHyperplane intersection(SubHyperplane sub)
|
||||
}
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||||
note top
|
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a region is a part of the space
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it may be empty,
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it may cover the whole space,
|
||||
it may have infinite non-closed boudaries,
|
||||
it may be in several disconnected sub-parts,
|
||||
it may contain holes
|
||||
end note
|
||||
|
||||
enum Location {
|
||||
+INSIDE
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||||
+OUTSIDE
|
||||
+BOUNDARY
|
||||
}
|
||||
|
||||
enum Side {
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+PLUS
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||||
+MINUS
|
||||
+BOTH
|
||||
+HYPER
|
||||
}
|
||||
|
||||
Hyperplane_S_ "1" <--* "1" SubHyperplane_S_
|
||||
SubHyperplane_S_ "0..1" <--* BSPTree_S_ : cut
|
||||
BSPTree_S_ <--o BSPTree_S_ : "parent "
|
||||
BSPTree_S_ o--> BSPTree_S_ : "children"
|
||||
Region_S_ *--> "1" BSPTree_S_
|
||||
Hyperplane_S_ <-- Region_S_
|
||||
AbstractSubHyperplane_S_T_ ..|> SubHyperplane_S_
|
||||
AbstractSubHyperplane_S_T_ *--> "1" Hyperplane_S_ : hyperplane
|
||||
AbstractSubHyperplane_S_T_ *--> "1" Region_S_ : region
|
||||
Region_S_ --> Location
|
||||
Region_S_ --> Side
|
||||
BSPTree_S_ <-- BSPTreeVisitor_S_ : visits
|
||||
|
||||
end package
|
||||
|
||||
end package
|
||||
|
||||
@enduml
|
||||
102
src/site/design/solver.puml
Normal file
102
src/site/design/solver.puml
Normal file
@ -0,0 +1,102 @@
|
||||
' Licensed to the Apache Software Foundation (ASF) under one or more
|
||||
' contributor license agreements. See the NOTICE file distributed with
|
||||
' this work for additional information regarding copyright ownership.
|
||||
' The ASF licenses this file to You under the Apache License, Version 2.0
|
||||
' (the "License"); you may not use this file except in compliance with
|
||||
' the License. You may obtain a copy of the License at
|
||||
'
|
||||
' http://www.apache.org/licenses/LICENSE-2.0
|
||||
'
|
||||
' Unless required by applicable law or agreed to in writing, software
|
||||
' distributed under the License is distributed on an "AS IS" BASIS,
|
||||
' WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||
' See the License for the specific language governing permissions and
|
||||
' limitations under the License.
|
||||
|
||||
@startuml
|
||||
|
||||
skinparam svek true
|
||||
skinparam ClassBackgroundColor #F3EFEB
|
||||
skinparam ClassArrowColor #691616
|
||||
skinparam ClassBorderColor #691616
|
||||
skinparam NoteBackgroundColor #F3EFEB
|
||||
skinparam NoteBorderColor #691616
|
||||
skinparam NoteFontColor #691616
|
||||
skinparam ClassFontSize 11
|
||||
|
||||
package org.apache.commons.math3.differentiation.solvers #ECEBD8
|
||||
|
||||
enum AllowedSolution {
|
||||
ANY_SIDE
|
||||
LEFT_SIDE
|
||||
RIGHT_SIDE
|
||||
BELOW_SIDE
|
||||
ABOVE_SIDE
|
||||
}
|
||||
|
||||
interface "BaseUnivariateSolver<FUNC extends UnivariateFunction>" as BaseUnivariateSolver_FUNC_ {
|
||||
+int getMaxEvaluations()
|
||||
+int getEvaluations()
|
||||
+double getAbsoluteAccuracy()
|
||||
+double getRelativeAccuracy()
|
||||
+double getFunctionValueAccuracy()
|
||||
+double solve(int maxEval, FUNC f, double min, double max)
|
||||
+double solve(int maxEval, FUNC f, double min, double max, double startValue)
|
||||
+double solve(int maxEval, FUNC f, double startValue)
|
||||
}
|
||||
|
||||
abstract class "BaseAbstractUnivariateSolver<FUNC extends UnivariateFunction>" as BaseAbstractUnivariateSolver_FUNC_ {
|
||||
#{Abstract} double doSolve()
|
||||
}
|
||||
|
||||
interface UnivariateSolver
|
||||
abstract class AbstractUnivariateSolver
|
||||
|
||||
interface DifferentiableUnivariateSolver
|
||||
abstract class AbstractDifferentiableUnivariateSolver
|
||||
|
||||
interface PolynomialSolver
|
||||
abstract class AbstractPolynomialSolver
|
||||
|
||||
BaseUnivariateSolver_FUNC_ <|.. BaseAbstractUnivariateSolver_FUNC_
|
||||
|
||||
BaseUnivariateSolver_FUNC_ <|.. UnivariateSolver
|
||||
UnivariateSolver <|.. AbstractUnivariateSolver
|
||||
BaseAbstractUnivariateSolver_FUNC_ <|-- AbstractUnivariateSolver
|
||||
|
||||
BaseUnivariateSolver_FUNC_ <|.. DifferentiableUnivariateSolver
|
||||
DifferentiableUnivariateSolver <|.. AbstractDifferentiableUnivariateSolver
|
||||
BaseAbstractUnivariateSolver_FUNC_ <|-- AbstractDifferentiableUnivariateSolver
|
||||
|
||||
BaseUnivariateSolver_FUNC_ <|.. PolynomialSolver
|
||||
PolynomialSolver <|.. AbstractPolynomialSolver
|
||||
BaseAbstractUnivariateSolver_FUNC_ <|-- AbstractPolynomialSolver
|
||||
|
||||
|
||||
interface "BracketedUnivariateSolver<FUNC extends UnivariateFunction>" as BracketedUnivariateSolver_FUNC_
|
||||
AllowedSolution <-- BracketedUnivariateSolver_FUNC_ : solution side selector
|
||||
BaseUnivariateSolver_FUNC_ <|.. BracketedUnivariateSolver_FUNC_
|
||||
|
||||
abstract class BaseSecantSolver
|
||||
|
||||
AbstractUnivariateSolver <|-- BaseSecantSolver
|
||||
BracketedUnivariateSolver_FUNC_ <|.. BaseSecantSolver
|
||||
BaseSecantSolver <|-- IllinoisSolver
|
||||
BaseSecantSolver <|-- PegasusSolver
|
||||
BaseSecantSolver <|-- RegulaFalsiSolver
|
||||
|
||||
AbstractUnivariateSolver <|-- BracketingNthOrderBrentSolver
|
||||
BracketedUnivariateSolver_FUNC_ <|.. BracketingNthOrderBrentSolver
|
||||
|
||||
AbstractUnivariateSolver <|-- BrentSolver
|
||||
AbstractUnivariateSolver <|-- SecantSolver
|
||||
AbstractUnivariateSolver <|-- RiddersSolver
|
||||
AbstractUnivariateSolver <|-- MullerSolver
|
||||
AbstractUnivariateSolver <|-- MullerSolver2
|
||||
AbstractDifferentiableUnivariateSolver <|-- NewtonSolver
|
||||
AbstractPolynomialSolver <|-- LaguerreSolver
|
||||
|
||||
AbstractUnivariateSolver <|-- BisectionSolver
|
||||
end package
|
||||
|
||||
@enduml
|
||||
86
src/site/design/threeD.puml
Normal file
86
src/site/design/threeD.puml
Normal file
@ -0,0 +1,86 @@
|
||||
' Licensed to the Apache Software Foundation (ASF) under one or more
|
||||
' contributor license agreements. See the NOTICE file distributed with
|
||||
' this work for additional information regarding copyright ownership.
|
||||
' The ASF licenses this file to You under the Apache License, Version 2.0
|
||||
' (the "License"); you may not use this file except in compliance with
|
||||
' the License. You may obtain a copy of the License at
|
||||
'
|
||||
' http://www.apache.org/licenses/LICENSE-2.0
|
||||
'
|
||||
' Unless required by applicable law or agreed to in writing, software
|
||||
' distributed under the License is distributed on an "AS IS" BASIS,
|
||||
' WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||
' See the License for the specific language governing permissions and
|
||||
' limitations under the License.
|
||||
|
||||
@startuml
|
||||
|
||||
skinparam svek true
|
||||
skinparam ClassBackgroundColor #F3EFEB
|
||||
skinparam ClassArrowColor #691616
|
||||
skinparam ClassBorderColor #691616
|
||||
skinparam NoteBackgroundColor #F3EFEB
|
||||
skinparam NoteBorderColor #691616
|
||||
skinparam NoteFontColor #691616
|
||||
skinparam ClassFontSize 11
|
||||
|
||||
package org.apache.commons.math3.geometry #ECEBD8
|
||||
|
||||
interface Space {
|
||||
+int getDimension()
|
||||
+Space getSubSpace()
|
||||
}
|
||||
note top
|
||||
Space is mainly used as a parameter
|
||||
for generics and to link d-dimensional
|
||||
space with (d-1)-dimensional space
|
||||
end note
|
||||
|
||||
interface "Vector<S extends Space>" as Vector_S_ {
|
||||
+Space getSpace()
|
||||
+Vector getZero()
|
||||
+double getNorm()
|
||||
+Vector add()
|
||||
+Vector subtract()
|
||||
+Vector negate()
|
||||
+Vector normalize()
|
||||
+Vector scalarMultiply()
|
||||
+boolean isNaN()
|
||||
+boolean isInfinite()
|
||||
+double distance()
|
||||
+double dotProduct()
|
||||
}
|
||||
|
||||
Space <-- Vector_S_
|
||||
|
||||
package partitioning #DDEBD8
|
||||
interface "Region<S extends Space>" as Region_S_
|
||||
interface "Hyperplane<S extends Space>" as Hyperplane_S_
|
||||
interface "SubHyperplane<S extends Space>" as SubHyperplane_S_
|
||||
end package
|
||||
|
||||
package euclidean #DDEBD8
|
||||
|
||||
package threed #DDDBD8
|
||||
|
||||
class Euclidean3D
|
||||
class Vector3D
|
||||
class Line
|
||||
class SubLine
|
||||
class Plane
|
||||
class SubPlane
|
||||
class PolyhedronsSet
|
||||
|
||||
Space <|.. Euclidean3D
|
||||
Vector_S_ <|.. Vector3D
|
||||
Hyperplane_S_ <|.. Plane
|
||||
SubHyperplane_S_ <|.. SubPlane
|
||||
Region_S_ <|.. PolyhedronsSet
|
||||
|
||||
end package
|
||||
|
||||
end package
|
||||
|
||||
end package
|
||||
|
||||
@enduml
|
||||
84
src/site/design/twoD.puml
Normal file
84
src/site/design/twoD.puml
Normal file
@ -0,0 +1,84 @@
|
||||
' Licensed to the Apache Software Foundation (ASF) under one or more
|
||||
' contributor license agreements. See the NOTICE file distributed with
|
||||
' this work for additional information regarding copyright ownership.
|
||||
' The ASF licenses this file to You under the Apache License, Version 2.0
|
||||
' (the "License"); you may not use this file except in compliance with
|
||||
' the License. You may obtain a copy of the License at
|
||||
'
|
||||
' http://www.apache.org/licenses/LICENSE-2.0
|
||||
'
|
||||
' Unless required by applicable law or agreed to in writing, software
|
||||
' distributed under the License is distributed on an "AS IS" BASIS,
|
||||
' WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||
' See the License for the specific language governing permissions and
|
||||
' limitations under the License.
|
||||
|
||||
@startuml
|
||||
|
||||
skinparam svek true
|
||||
skinparam ClassBackgroundColor #F3EFEB
|
||||
skinparam ClassArrowColor #691616
|
||||
skinparam ClassBorderColor #691616
|
||||
skinparam NoteBackgroundColor #F3EFEB
|
||||
skinparam NoteBorderColor #691616
|
||||
skinparam NoteFontColor #691616
|
||||
skinparam ClassFontSize 11
|
||||
|
||||
package org.apache.commons.math3.geometry #ECEBD8
|
||||
|
||||
interface Space {
|
||||
+int getDimension()
|
||||
+Space getSubSpace()
|
||||
}
|
||||
note top
|
||||
Space is mainly used as a parameter
|
||||
for generics and to link d-dimensional
|
||||
space with (d-1)-dimensional space
|
||||
end note
|
||||
|
||||
interface "Vector<S extends Space>" as Vector_S_ {
|
||||
+Space getSpace()
|
||||
+Vector getZero()
|
||||
+double getNorm()
|
||||
+Vector add()
|
||||
+Vector subtract()
|
||||
+Vector negate()
|
||||
+Vector normalize()
|
||||
+Vector scalarMultiply()
|
||||
+boolean isNaN()
|
||||
+boolean isInfinite()
|
||||
+double distance()
|
||||
+double dotProduct()
|
||||
}
|
||||
|
||||
Space <-- Vector_S_
|
||||
|
||||
package partitioning #DDEBD8
|
||||
interface "Region<S extends Space>" as Region_S_
|
||||
interface "Hyperplane<S extends Space>" as Hyperplane_S_
|
||||
interface "SubHyperplane<S extends Space>" as SubHyperplane_S_
|
||||
end package
|
||||
|
||||
package euclidean #DDEBD8
|
||||
|
||||
package twod #DDDBD8
|
||||
|
||||
class Euclidean2D
|
||||
class Vector2D
|
||||
class Line
|
||||
class SubLine
|
||||
class PolygonsSet
|
||||
|
||||
Space <|.. Euclidean2D
|
||||
Vector_S_ <|.. Vector2D
|
||||
Hyperplane_S_ <|.. Line
|
||||
SubHyperplane_S_ <|.. SubLine
|
||||
Region_S_ <|.. PolygonsSet
|
||||
|
||||
end package
|
||||
|
||||
end package
|
||||
|
||||
end package
|
||||
|
||||
@enduml
|
||||
Loading…
x
Reference in New Issue
Block a user