org.matheclipse.core.reflection.system

Class BernoulliB

java.lang.Object

org.matheclipse.core.eval.interfaces.AbstractFunctionEvaluator

org.matheclipse.core.reflection.system.BernoulliB

All Implemented Interfaces:

IFunctionEvaluator, IEvaluator

public class BernoulliB
extends AbstractFunctionEvaluator

Compute the Bernoulli number of the first kind. See Wikipedia - Bernoulli number.
For better performing implementations see ComputationAndAsymptoticsOfBernoulliNumbers

Constructor Summary

Constructors

Constructor and Description
BernoulliB()

Method Summary

Modifier and Type	Method and Description
static BigFraction	bernoulliNumber(java.math.BigInteger biggi) Compute the Bernoulli number of the first kind.
static BigFraction	bernoulliNumber(int n) Compute the Bernoulli number of the first kind.
IExpr	evaluate(IAST ast) Symbolic evaluation of a function.
void	setUp(ISymbol symbol) Evaluate built-in rules and define Attributes for a function.

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

createRuleFromMethod, getPeriodicParts, getPureImaginaryPart, getRuleAST, isNegativeExpression, numericEval

Methods inherited from class java.lang.Object

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

Constructor Detail

BernoulliB

public BernoulliB()

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

bernoulliNumber

public static BigFraction bernoulliNumber(java.math.BigInteger biggi)

Compute the Bernoulli number of the first kind.

Parameters:

biggi -

Returns:

bernoulliNumber

public static BigFraction bernoulliNumber(int n)

Compute the Bernoulli number of the first kind.

Parameters:

n -

Returns:

setUp

public void setUp(ISymbol symbol)
           throws SyntaxError

Description copied from class: AbstractFunctionEvaluator

Evaluate built-in rules and define Attributes for a function.

Specified by:

setUp in interface IEvaluator

Overrides:

setUp in class AbstractFunctionEvaluator

Parameters:

symbol - the symbol which should be set up

Throws:

SyntaxError