com.singularsys.extensions.djep

Class DJep

java.lang.Object

com.singularsys.jep.Jep

com.singularsys.extensions.xjep.XJep

com.singularsys.extensions.djep.DJep

All Implemented Interfaces:

java.io.Serializable

Direct Known Subclasses:

MDJep

public class DJep
extends XJep

Adds differentiation facilities to Jep. For example

 DJep j = new DJep();
 j.addStandardDiffRules();
 ....
 Node node = j.parse("x^3");
 Node diff = j.differentiate(node,"x");
 Node simp = j.simplify(diff);
 j.println(simp);
 Node node2 = j.parse("diff(x^4,x)");
 Node proc = j.preprocess(node2);
 Node simp2 = j.simplify(proc);
 j.println(simp2);
 

Author:

Rich Morris Created on 16-Nov-2003

See Also:

Serialized Form

Field Summary

Fields

Modifier and Type	Field and Description
protected DifferentiationVisitor	dv

Fields inherited from class com.singularsys.extensions.xjep.XJep

cleaner, commandv, copier, extractor, polyv, rewritev, subv, tu

Fields inherited from class com.singularsys.jep.Jep

additionalComponents, allowAssignment, allowUndeclared, evaluator, funTab, implicitMul, lastRootNode, nodeFac, numFac, opTab, parser, pv, varFac, varTab

Constructor Summary

Constructors

Constructor and Description
DJep() Standard constructor.
DJep(ComponentSet dJepComponents)
DJep(JepComponent... components)

Method Summary

Modifier and Type	Method and Description
void	addDiffRule(DiffRulesI rule) Adds a rule with instruction on how to differentiate a function.
boolean	addStandardDiffRules() Adds the standard set of differentiation rules.
Node	differentiate(Node node, java.lang.String name) Differentiate an equation with respect to a variable.
DifferentiationVisitor	getDifferentationVisitor() Returns the visitor used for differentiation.
Node	replacePartialDerivativeByExpressions(Node node)
protected void	setXComponentInternal(JepComponent comp)

Methods inherited from class com.singularsys.extensions.xjep.XJep

addRewriteRule, calcVarValue, clean, deepCopy, equals, expand, getCommandVisitor, getCopier, getExpressionCleaner, getExtractor, getPolynomialCreator, getRewriteVisitor, getSubstitutionVisitor, getTreeUtils, getVarsInEquation, getVarsInEquation, preprocess, recursiveGetVarsInEquation, replaceRHSVariablesByEquations, replaceVariableByExpressions, rewrite, simplify, substitute, substitute, substitute, substitute, substitute, substitute, substituteConstantVariables

Methods inherited from class com.singularsys.jep.Jep

addConstant, addDefaultComponents, addFunction, addStandardConstants, addVariable, addVariable, addVariable, addVariable, continueParsing, evaluate, evaluate, evaluateD, getAdditionalComponent, getAdditionalComponents, getAllowAssignment, getAllowUndeclared, getDefaultValue, getEvaluator, getFunctionTable, getImplicitMul, getLastRootNode, getNodeFactory, getNumberFactory, getOperatorTable, getParser, getPrintVisitor, getVariable, getVariableFactory, getVariableTable, getVariableValue, initMultiParse, initMultiParse, parse, parse, print, print, print, println, println, println, reinitializeComponents, rootNodeToString, setAllowAssignment, setAllowUndeclared, setComponent, setComponentInternal, setComponents, setComponentsInternal, setDefaultValue, setImplicitMul, setVariable, toString, tryAddConstant

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

dv

protected DifferentiationVisitor dv

Constructor Detail

DJep

public DJep()

Standard constructor. Use this instead of Jep or Jep if differentiation facilities are required.

DJep

public DJep(JepComponent... components)

DJep

public DJep(ComponentSet dJepComponents)

Method Detail

setXComponentInternal

protected void setXComponentInternal(JepComponent comp)

Overrides:

setXComponentInternal in class XJep

getDifferentationVisitor

public DifferentiationVisitor getDifferentationVisitor()

Returns the visitor used for differentiation. Allows more advanced functions.

addStandardDiffRules

public boolean addStandardDiffRules()

Adds the standard set of differentiation rules. Corresponds to all standard functions in the Jep plus a few more.

 sin,cos,tan,asin,acos,atan,sinh,cosh,tanh,asinh,acosh,atanh
 sqrt,log,ln,abs,angle
 sum,im,re are handled separately.
 rand and mod currently un-handled
 
 Also adds rules for functions not in Jep function list:
        sec,cosec,cot,exp,pow,sgn 
 
 

Returns:

false on error

addDiffRule

public void addDiffRule(DiffRulesI rule)

Adds a rule with instruction on how to differentiate a function.

Parameters:

rule -

differentiate

public Node differentiate(Node node,
                          java.lang.String name)
                   throws ParseException

Differentiate an equation with respect to a variable.

Parameters:

node - top node of the expression tree to differentiate.

name - differentiate with respect to this variable.

Returns:

the top node of a new parse tree representing the derivative.

Throws:

ParseException

java.lang.IllegalArgumentException

replacePartialDerivativeByExpressions

public Node replacePartialDerivativeByExpressions(Node node)
                                           throws JepException

Throws:

JepException