JSci.maths.symbolic
Class Expression

java.lang.Object
  JSci.maths.symbolic.Expression

All Implemented Interfaces:

java.io.Serializable, Field.Member, Ring.Member, AbelianGroup.Member, Member

Direct Known Subclasses:

Constant, Evaluation, Function, Negative, Power, Product, Sum, Variable

public abstract class Expression
extends java.lang.Object
implements Field.Member

The basic abstract class for doing analytical calculations.

See Also:

Serialized Form

Constructor Summary

Expression()

Method Summary

AbelianGroup.Member	add(AbelianGroup.Member g) The group composition law.
static Expression	difference(AbelianGroup.Member a, AbelianGroup.Member b) Method for generating an Expression by a formal operation on a set member
Expression	differentiate(java.util.Hashtable ht) Differentiation of the expression with respect to the variables
abstract Expression	differentiate(Variable x) Differentiation of the expression with respect to a variable
Field.Member	divide(Field.Member f) The multiplication law with inverse.
static Expression	divide(Field.Member f, Field.Member g) Method for generating an Expression by a formal operation on a set member
abstract Expression	evaluate() This method substitutes the variable with the variable values, if non-null; they can be Contants or other Expressions.
protected abstract int	getPriority() Get the priority of the operator described by the expression.
Field.Member	inverse() Returns the inverse member.
static Expression	inverse(Field.Member f) Method for generating an Expression by a formal operation on a set member
static void	main(java.lang.String[] args) Put some expressions like "sin(2*x)/x+3/z" in the command line.
Ring.Member	multiply(Ring.Member r) The multiplication law.
AbelianGroup.Member	negate() Returns the negative member.
static Expression	negative(AbelianGroup.Member r) Method for generating an Expression by a formal operation on a set member
static Expression	power(Field.Member f, int g) Method for generating an Expression by a formal operation on a set member
static Expression	product(Ring.Member[] args) Method for generating an Expression by a formal operation on a set member
static Expression	product(Ring.Member a, Ring.Member b) Method for generating an Expression by a formal operation on a set member
Ring.Member	rise(int f) Power of an expression.
AbelianGroup.Member	subtract(AbelianGroup.Member g) The group composition law with inverse.
static Expression	sum(AbelianGroup.Member[] args) Method for generating an Expression by a formal operation on a set member
static Expression	sum(AbelianGroup.Member a, AbelianGroup.Member b) Method for generating an Expression by a formal operation on a set member

Methods inherited from class java.lang.Object

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

Methods inherited from interface JSci.maths.Member

getSet

Constructor Detail

Expression

public Expression()

Method Detail

differentiate

public Expression differentiate(java.util.Hashtable ht)

Differentiation of the expression with respect to the variables

Parameters:

ht - table with variable / derivative order

differentiate

public abstract Expression differentiate(Variable x)

Differentiation of the expression with respect to a variable

Parameters:

x - the variable

evaluate

public abstract Expression evaluate()

This method substitutes the variable with the variable values, if non-null; they can be Contants or other Expressions. Simplification is performed.

Returns:

the evaluated Expression. Can be a Constant.

getPriority

protected abstract int getPriority()

Get the priority of the operator described by the expression. This is needed only for allowing toString() to generate the parenthesis when needed.

Returns:

the priority

inverse

public Field.Member inverse()

Description copied from interface: Field.Member

Returns the inverse member.

Specified by:

inverse in interface Field.Member

Returns:

the inverse member.

divide

public Field.Member divide(Field.Member f)

The multiplication law with inverse.

Specified by:

divide in interface Field.Member

Parameters:

f - a field member

multiply

public Ring.Member multiply(Ring.Member r)

The multiplication law.

Specified by:

multiply in interface Ring.Member

Parameters:

r - a ring member

add

public AbelianGroup.Member add(AbelianGroup.Member g)

The group composition law.

Specified by:

add in interface AbelianGroup.Member

Parameters:

g - a group member

negate

public AbelianGroup.Member negate()

Returns the negative member.

Specified by:

negate in interface AbelianGroup.Member

subtract

public AbelianGroup.Member subtract(AbelianGroup.Member g)

The group composition law with inverse.

Specified by:

subtract in interface AbelianGroup.Member

Parameters:

g - a group member

rise

public Ring.Member rise(int f)

Power of an expression. Only constant and integer exponent.

Parameters:

f - the exponent.

negative

public static Expression negative(AbelianGroup.Member r)

Method for generating an Expression by a formal operation on a set member

sum

public static Expression sum(AbelianGroup.Member a,
                             AbelianGroup.Member b)

Method for generating an Expression by a formal operation on a set member

sum

public static Expression sum(AbelianGroup.Member[] args)

Method for generating an Expression by a formal operation on a set member

difference

public static Expression difference(AbelianGroup.Member a,
                                    AbelianGroup.Member b)

Method for generating an Expression by a formal operation on a set member

product

public static Expression product(Ring.Member a,
                                 Ring.Member b)

Method for generating an Expression by a formal operation on a set member

product

public static Expression product(Ring.Member[] args)

Method for generating an Expression by a formal operation on a set member

inverse

public static Expression inverse(Field.Member f)

Method for generating an Expression by a formal operation on a set member

divide

public static Expression divide(Field.Member f,
                                Field.Member g)

Method for generating an Expression by a formal operation on a set member

power

public static Expression power(Field.Member f,
                               int g)

Method for generating an Expression by a formal operation on a set member

main

public static void main(java.lang.String[] args)
                 throws ParseException

Put some expressions like "sin(2*x)/x+3/z" in the command line. The program writes the expression, the simplifyed expression and the derivative.

Throws:

ParseException