org.matheclipse.core.reflection.system

Class Apart

java.lang.Object

org.matheclipse.core.eval.interfaces.AbstractFunctionEvaluator

org.matheclipse.core.reflection.system.Apart

All Implemented Interfaces:

IFunctionEvaluator, IEvaluator

public class Apart
extends AbstractFunctionEvaluator

Evaluate the partial fraction decomposition of a univariate polynomial fraction. See Wikipedia - Partial fraction decomposition

Constructor Summary

Constructors

Constructor and Description
Apart()

Method Summary

Modifier and Type	Method and Description
IExpr	evaluate(IAST ast) Symbolic evaluation of a function.
static IExpr[]	getFractionalParts(IExpr arg) Split the expression into numerator and denominator parts, by separating positive and negative powers.
static IExpr[]	getFractionalPartsTimes(IAST ast, boolean splitFractionalNumbers) Return the numerator and denominator for the given Times[...] AST, by separating positive and negative powers.
static IAST	partialFractionDecompositionInteger(IExpr[] parts, IAST variableList) Deprecated. untested at the moment
static IAST	partialFractionDecompositionRational(IPartialFractionGenerator pf, IExpr[] parts, ISymbol x) Returns an AST with head Plus, which contains the partial fraction decomposition of the numerator and denominator parts.

Methods inherited from class org.matheclipse.core.eval.interfaces.AbstractFunctionEvaluator

createRuleFromMethod, getPeriodicParts, getPureImaginaryPart, getRuleAST, isNegativeExpression, numericEval, setUp

Methods inherited from class java.lang.Object

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

Constructor Detail

Apart

public Apart()

Method Detail

evaluate

public IExpr evaluate(IAST ast)

Description copied from class: AbstractFunctionEvaluator

Symbolic evaluation of a function. ast.get(0) contains the head (i.e. the function symbol) of this abstract syntax tree (AST). ast.get(1) to ast.get(n) contains the first to n-th argument of the function.
If necessary use the methods from the Validate class to check the number or types of arguments in the evaluate method.
Note: if the symbolic evaluation isn't possible or no result is found the evaluate method returns with a null value without throwing an exception!

Specified by:

evaluate in interface IFunctionEvaluator

Specified by:

evaluate in class AbstractFunctionEvaluator

Parameters:

ast - the abstract syntax tree (AST) which should be evaluated

Returns:

the evaluated object or null, if evaluation isn't possible

See Also:

Validate

partialFractionDecompositionInteger

public static IAST partialFractionDecompositionInteger(IExpr[] parts,
                                                       IAST variableList)

Deprecated. untested at the moment

Returns an AST with head Plus, which contains the partial fraction decomposition of the numerator and denominator parts.

Parameters:

parts -

variableList -

Returns:

null if the partial fraction decomposition wasn't constructed

partialFractionDecompositionRational

public static IAST partialFractionDecompositionRational(IPartialFractionGenerator pf,
                                                        IExpr[] parts,
                                                        ISymbol x)

Returns an AST with head Plus, which contains the partial fraction decomposition of the numerator and denominator parts.

Parameters:

parts -

variableList -

Returns:

null if the partial fraction decomposition wasn't constructed

getFractionalParts

public static IExpr[] getFractionalParts(IExpr arg)

Split the expression into numerator and denominator parts, by separating positive and negative powers.

Parameters:

arg -

Returns:

the numerator and denominator expression

getFractionalPartsTimes

public static IExpr[] getFractionalPartsTimes(IAST ast,
                                              boolean splitFractionalNumbers)

Return the numerator and denominator for the given Times[...] AST, by separating positive and negative powers.

Parameters:

ast - a times expression (a*b*c....)

splitFractionalNumbers - TODO

Returns:

the numerator and denominator expression