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Java example source code file (differentiation.puml)

This example Java source code file (differentiation.puml) is included in the alvinalexander.com "Java Source Code Warehouse" project. The intent of this project is to help you "Learn Java by Example" TM.

Learn more about this Java project at its project page.

Java - Java tags/keywords

apache, asf, classfontsize, derivativestructure, dscompiler, f3efeb, fieldelement_t_, license, see, univariatedifferentiable, univariatedifferentiator, univariatefunction, you

The differentiation.puml Java example source code

' 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,
' See the License for the specific language governing permissions and
' limitations under the License.


  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 #ECEBD8

    interface "FieldElement<T>" as FieldElement_T_ {
      T add(T a)
      T subtract(T a)
      T negate()
      T multiply(int n)
      T multiply(T a)
      T divide(T a)
      T reciprocal()
      Field<T> getField()

    package analysis #DDEBD8
      interface UnivariateFunction {
        double value(double x)

      package differentiation #DDDBD8

        class DerivativeStructure {
          -DerivativeStructure(DSCompiler compiler)
          +DerivativeStructure(int parameters, int order, double value)
          +DerivativeStructure(int parameters, int order, int index, double value)
          +int getFreeParameters()
          +int getOrder()
          +double getValue()
          +double getPartialDerivative(int[] orders)
          +double taylor(double[] delta)
          +int getExponent()
          +DerivativeStructure compose(double[] f)
          +DerivativeStructure cos()
          +DerivativeStructure sin()
          +DerivativeStructure exp()
          +DerivativeStructure sqrt()
        note bottom
          lots of mathematical methods
          and constructors ommitted for clarity
        end note

        class DSCompiler {
          {static} +DSCompiler getCompiler(int parameters, int order)
          +int getPartialDerivativeIndex(int[] orders)
          +int[] getPartialDerivativeOrders(int index)
          +int getFreeParameters()
          +int getOrder()
          +int getSize()
          +void checkCompatibility(DSCompiler compiler)
          +void compose(double[] operand, int operandOffset, double[] f, double[] result, int resultOffset)
          +double taylor(double[] ds, int dsOffset, double[] delta)
          +void add(double[] lhs, int lhsOffset, double[] rhs, int rhsOffset, double[] result, int resultOffset)
          +void exp(double[] operand, int operandOffset, double[] result, int resultOffset)
        note bottom
          one compiler is built for each pair
          (number of parameters, derivation order)
          they are cached for efficiency
        end note

        interface UnivariateDifferentiable {
          DerivativeStructure value(DerivativeStructure t)

        interface UnivariateDifferentiator {
          UnivariateDifferentiable differentiate(UnivariateFunction function)

        FieldElement_T_     <..      DerivativeStructure
        DerivativeStructure o--> "1" DSCompiler : delegates computation
        UnivariateFunction  <|..     UnivariateDifferentiable
        UnivariateDifferentiable <-- UnivariateDifferentiator : creates
        UnivariateDifferentiable --> DerivativeStructure : uses

      end package
    end package
  end package


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