org.matheclipse.core.reflection.system

Class IdentityMatrix

java.lang.Object

org.matheclipse.core.eval.interfaces.AbstractEvaluator

org.matheclipse.core.eval.interfaces.AbstractFunctionEvaluator

org.matheclipse.core.reflection.system.IdentityMatrix

All Implemented Interfaces:

IFunctionEvaluator, IEvaluator

public class IdentityMatrix
extends AbstractFunctionEvaluator

Create an identity matrix See Wikipedia - Identity matrix

Constructor Summary

Constructors

Constructor and Description
IdentityMatrix()

Method Summary

Modifier and Type	Method and Description
static IAST	diagonalMatrix(IExpr[] valueArray, int dimension) Create a diagonal matrix from valueArray[0] (non-diagonal elements) and valueArray[1] (diagonal elements).
IExpr	evaluate(IAST ast, EvalEngine engine) Symbolic evaluation of a function.

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

createRuleFromMethod, getNormalizedNegativeExpression, getNormalizedNegativeExpression, getPeriodicParts, getPureImaginaryPart, getRuleAST, initSerializedRules, isNegativeExpression, setUp

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

numericEval

Methods inherited from class java.lang.Object

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

Constructor Detail

IdentityMatrix

public IdentityMatrix()

Method Detail

evaluate

public IExpr evaluate(IAST ast,
                      EvalEngine engine)

Description copied from class: AbstractFunctionEvaluator

Symbolic evaluation of a function. ast.get(0) (or alternatively ast.head()) contains the head (i.e. the function symbol) of this abstract syntax tree (AST).
From ast.arg1() to ast.get(n) the ast contains the first to n-th argument of the function (alternatively you get the first to fifth argument with the methods arg1(), arg2(),... arg5()).
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

engine - the users current evaluation engine

Returns:

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

See Also:

Validate, IExpr.head(), IAST.arg1(), IAST.arg2(), IAST.arg3()

diagonalMatrix

public static IAST diagonalMatrix(IExpr[] valueArray,
                                  int dimension)

Create a diagonal matrix from valueArray[0] (non-diagonal elements) and valueArray[1] (diagonal elements).

Parameters:

valueArray - 2 values for non-diagonal and diagonal elemnets of the matrix.

dimension - of the square matrix

Returns: