net.mumie.mathletfactory.math.algebra.op.node

Class NrtOp

java.lang.Object

net.mumie.mathletfactory.math.algebra.AbstractTreeNode

net.mumie.mathletfactory.math.algebra.op.node.OpNode

net.mumie.mathletfactory.math.algebra.op.node.NrtOp

All Implemented Interfaces:

java.lang.Cloneable, java.lang.Comparable, NumberTypeDependentIF

public class NrtOp
extends OpNode

Represents the object for taking the n-th root in the Op-Scheme

Author:

Paehler

Document status:

finished

Field Summary

Fields inherited from class net.mumie.mathletfactory.math.algebra.op.node.OpNode

m_base, m_children, m_exponent, m_factor, m_isEdited, m_parent, MULTOP, POWEROP, PRINT_ALL, PRINT_EXPONENT, PRINT_EXPONENT_SIGN, PRINT_EXPRESSION, PRINT_FACTOR, PRINT_PARENTHESES, PRINT_SIGN, REPLACEMENT_IDENTIFIER

Fields inherited from class net.mumie.mathletfactory.math.algebra.AbstractTreeNode

m_numberClass

Constructor Summary

Constructors

Constructor and Description
NrtOp(java.lang.Class entryClass)
NrtOp(java.lang.Class entryClass, int n)
NrtOp(OpNode child, int n)

Method Summary

Methods

Modifier and Type	Method and Description
protected void	calculate() Simply calls MNumber.power(1/n, child)
protected void	calculateDouble() Simply calls Math.pow(child,1/n).
OpNode	getDerivative(java.lang.String variable) Implements (a(x)^(1/n))' = (1/n) * a(x) ^ (1/n-1) * a'(x).
org.w3c.dom.Node	getMathMLNode(org.w3c.dom.Document doc, byte precision)
int	getMaxChildrenNr() Returns the minimum number of arguments for this operation.
int	getMinChildrenNr() Returns the minimum number of arguments for this operation.
RelNode	getMonotonicDecreasingRel(OpNode operand) Returns the relation that must be satisfied, so that this node with operand as child represents a monotonously falling operation
RelNode	getMonotonicIncreasingRel(OpNode operand) Returns the relation that must be satisfied, so that this node with operand as child represents a monotonously rising operation.
int	getN()
RelNode	getNodeDefinedRel(OpNode operand) Returns the relation subtree for which this operation with operand as child is defined.
RelNode	getZeroRel(OpNode operand) Returns the relation for which this operation with operand as child is zero.
protected java.lang.String	nodeToContentMathML() Returns the value of the expression represented by this node (without factor and exponent) to content MathML.
java.lang.String	nodeToString() Returns the string representation for this node (without children).
void	setN(int n)
OpNode[]	solveStepFor(java.lang.String identifier) Inverts the algebraic operation represented by this node with respect to the children containing the given identifier.
java.lang.String	toString(int printFlags, java.text.DecimalFormat format) Returns the string representation with or without sign, depending on the value of printFlags.

Methods inherited from class net.mumie.mathletfactory.math.algebra.op.node.OpNode

children, clone, compareTo, containedConstants, containedVariables, deepCopy, deriveNode, equals, equalWithoutFactor, equalWithoutFactorAndExponent, extractNode, getAllNodesOfType, getChildren, getChildrenDefinedRel, getChildrenWithVariableCount, getChildrenWithVariablesCount, getChildrenWithVariablesCount, getContainedConstants, getContainedVariables, getDefinedRel, getExponent, getExponentString, getFactor, getFactorString, getFirstChildOfType, getFirstDescendantOfType, getLeaves, getMathMLNode, getMaxAbsPowerOfVariable, getMaxPowerOfVariable, getMonotonicDecreasingRel, getMonotonicIncreasingRel, getParent, getPolynomialHolder, getRationalHolder, getResult, getResult, getResultDouble, getSign, getZeroRel, insertNode, insertNodes, isAffine, isCommutativeOperation, isEdited, isIrreducibleFor, isNeutralElementFor, isOfLesserPrecedenceThan, isPolynomial, isRational, leafEquals, multiplyExponent, multiplyFactor, needsParanthesises, negateExponent, negateFactor, nodeToOpML, parent, parenthesesNeeded, printFactorAndExponent, replace, replace, replaced, replaceWith, setChildren, setChildren, setExponent, setFactor, setFactor, setParent, setParent, simpleSolveStepFor, toContentMathML, toDebugString, toOpML, toString, toString, transferFactorAndExponent, writeFactorAndExponent

Methods inherited from class net.mumie.mathletfactory.math.algebra.AbstractTreeNode

contains, extractNode, getDepth, getNumberClass, insertNode, isLeaf, replace, replaceByValue, replaceWith

Methods inherited from class java.lang.Object

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

Constructor Detail

NrtOp

public NrtOp(OpNode child,
     int n)

NrtOp

public NrtOp(java.lang.Class entryClass)

NrtOp

public NrtOp(java.lang.Class entryClass,
     int n)

Method Detail

setN

public void setN(int n)

getN

public int getN()

getMinChildrenNr

public int getMinChildrenNr()

Description copied from class: OpNode

Returns the minimum number of arguments for this operation. Needed for consistency-checks.

Specified by:

getMinChildrenNr in class OpNode

getMaxChildrenNr

public int getMaxChildrenNr()

Description copied from class: OpNode

Returns the minimum number of arguments for this operation. Needed for consistency-checks.

Specified by:

getMaxChildrenNr in class OpNode

nodeToString

public java.lang.String nodeToString()

Description copied from class: OpNode

Returns the string representation for this node (without children).

Specified by:

nodeToString in class OpNode

toString

public java.lang.String toString(int printFlags,
                        java.text.DecimalFormat format)

Description copied from class: OpNode

Returns the string representation with or without sign, depending on the value of printFlags.

Specified by:

toString in class OpNode

nodeToContentMathML

protected java.lang.String nodeToContentMathML()

Description copied from class: OpNode

Returns the value of the expression represented by this node (without factor and exponent) to content MathML.

Specified by:

nodeToContentMathML in class OpNode

See Also:

OpNode.toContentMathML()

calculate

protected void calculate()

Simply calls MNumber.power(1/n, child)

Specified by:

calculate in class OpNode

calculateDouble

protected void calculateDouble()

Simply calls Math.pow(child,1/n).

Specified by:

calculateDouble in class OpNode

getMonotonicDecreasingRel

public RelNode getMonotonicDecreasingRel(OpNode operand)

Description copied from class: OpNode

Returns the relation that must be satisfied, so that this node with operand as child represents a monotonously falling operation

Specified by:

getMonotonicDecreasingRel in class OpNode

getMonotonicIncreasingRel

public RelNode getMonotonicIncreasingRel(OpNode operand)

Description copied from class: OpNode

Returns the relation that must be satisfied, so that this node with operand as child represents a monotonously rising operation.

Specified by:

getMonotonicIncreasingRel in class OpNode

getNodeDefinedRel

public RelNode getNodeDefinedRel(OpNode operand)

Description copied from class: OpNode

Returns the relation subtree for which this operation with operand as child is defined. It does not consider the exponent of this node, which is be checked in OpNode.getDefinedRel().

Specified by:

getNodeDefinedRel in class OpNode

getZeroRel

public RelNode getZeroRel(OpNode operand)

Description copied from class: OpNode

Returns the relation for which this operation with operand as child is zero.

Specified by:

getZeroRel in class OpNode

solveStepFor

public OpNode[] solveStepFor(java.lang.String identifier)

Description copied from class: OpNode

Inverts the algebraic operation represented by this node with respect to the children containing the given identifier. It returns null if this is a NumberOp or a VariableOp, or this node is not invertible. Otherwise it returns the operations to apply to this node in order to perform a solving step towards the separation of terms containing identifier.
This method is called, when a simple relation containing this node as left hand side should be transformed, so that identifier or an irreducible expression of identifier remains on the left hand side.

Specified by:

solveStepFor in class OpNode

getDerivative

public OpNode getDerivative(java.lang.String variable)

Implements (a(x)^(1/n))' = (1/n) * a(x) ^ (1/n-1) * a'(x).

Specified by:

getDerivative in class OpNode

getMathMLNode

public org.w3c.dom.Node getMathMLNode(org.w3c.dom.Document doc,
                             byte precision)

Specified by:

getMathMLNode in class OpNode