org.matheclipse.core.reflection.system

Class Integrate

java.lang.Object

org.matheclipse.core.eval.interfaces.AbstractFunctionEvaluator

org.matheclipse.core.reflection.system.Integrate

All Implemented Interfaces:

IFunctionEvaluator, IEvaluator

public class Integrate
extends AbstractFunctionEvaluator

Integration of a function. See Integral

Field Summary

Fields

Modifier and Type	Field and Description
static Integrate	CONST Constructor for the singleton

Constructor Summary

Constructors

Constructor and Description
Integrate()

Method Summary

Modifier and Type	Method and Description
IExpr	evaluate(IAST ast) Symbolic evaluation of a function.
IAST	getRuleAST() Get the predefined rules for this function symbol.
static IAST	getUtilityFunctionsRuleAST() Get the rules defined for Integrate utility functions.
static boolean	isQuadratic(GenPolynomial<BigInteger> poly, BigInteger[] result) Check if the polynomial has maximum degree 2 in 1 variable and return the coefficients.
static boolean	isQuadratic(GenPolynomial<BigRational> poly, BigRational[] result) Check if the polynomial has maximum degree 2 in 1 variable and return the coefficients.

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

createRuleFromMethod, getPeriodicParts, getPureImaginaryPart, isNegativeExpression, numericEval, setUp

Methods inherited from class java.lang.Object

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

Field Detail

CONST

public static final Integrate CONST

Constructor for the singleton

Constructor Detail

Integrate

public Integrate()

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

isQuadratic

public static boolean isQuadratic(GenPolynomial<BigRational> poly,
                                  BigRational[] result)

Check if the polynomial has maximum degree 2 in 1 variable and return the coefficients.

Parameters:

poly -

Returns:

null if the polynomials degree > 2 and number of variables <> 1

isQuadratic

public static boolean isQuadratic(GenPolynomial<BigInteger> poly,
                                  BigInteger[] result)

Check if the polynomial has maximum degree 2 in 1 variable and return the coefficients.

Parameters:

poly -

Returns:

null if the polynomials degree > 2 and number of variables <> 1

getRuleAST

public IAST getRuleAST()

Description copied from class: AbstractFunctionEvaluator

Get the predefined rules for this function symbol. If no rules are available return null.

Overrides:

getRuleAST in class AbstractFunctionEvaluator

Returns:

getUtilityFunctionsRuleAST

public static IAST getUtilityFunctionsRuleAST()

Get the rules defined for Integrate utility functions. These rules are loaded on system startup.

See Also:

AbstractFunctionEvaluator.setUp(ISymbol)()