maspack.matrix

Class DualScalar

java.lang.Object

maspack.matrix.DualScalar

public class DualScalar
extends java.lang.Object

Dual Number with Double values, d = a + e*b, where e*e = 0;

Author:

antonio

Constructor Summary

Constructors

Constructor and Description
DualScalar(double a, double b) Constructs dual number a+e*b
DualScalar(DualScalar d)

Method Summary

Modifier and Type	Method and Description
void	add(DualScalar d) Adds the supplied dual number to this
void	add(DualScalar d1, DualScalar d2) Adds dual numbers d1+d2 and places this result in this dual number
void	conjugate() Conjugates the current dual number (a+e*b)' = a-e*b
void	conjugate(DualScalar d) Assigns this dual number to the conjugate of d: (a+e*b)' = a-e*b
void	div(DualScalar d) Divides by the supplied dual number
void	div(DualScalar d1, DualScalar d2) Divides dual numbers d1/d2 and places the result in this
void	get(double[] v) Fills in dual values v[0]+e*v[1]
void	get(DualScalar d) Copies values to d
double	getDual()
double	getReal()
void	invert()
void	invert(DualScalar d) Computes 1/d and places this result in this
void	mul(DualScalar d) Multiplies by the supplied dual number
void	mul(DualScalar d1, DualScalar d2) Multiplies dual numbers d1*d2 and places the result in this
double	norm() Magnitude of |a+e*b| = |a|
void	pow(DualScalar e) Computes (this)^e
void	pow(DualScalar d, DualScalar e) Computes d^e and places the result in this
void	set(double[] v) Assigns to dual number v[0]+e*v[1]
void	set(double a, double b) Assigns to dual number a+e*b
void	set(DualScalar d) Copies values from d
void	sqrt() Computes sqrt(this)
void	sqrt(DualScalar d) Computes d^(1/2) and places the result in this.
void	sub(DualScalar d) Subtracts d from this dual number
void	sub(DualScalar d1, DualScalar d2) Subtracts d2 from d1 and places the result in this dual number
java.lang.String	toString()
java.lang.String	toString(java.lang.String fmtStr)

Methods inherited from class java.lang.Object

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

Constructor Detail

DualScalar

public DualScalar(double a,
                  double b)

Constructs dual number a+e*b

DualScalar

public DualScalar(DualScalar d)

Method Detail

set

public void set(double a,
                double b)

Assigns to dual number a+e*b

set

public void set(DualScalar d)

Copies values from d

get

public void get(DualScalar d)

Copies values to d

set

public void set(double[] v)

Assigns to dual number v[0]+e*v[1]

get

public void get(double[] v)

Fills in dual values v[0]+e*v[1]

add

public void add(DualScalar d1,
                DualScalar d2)

Adds dual numbers d1+d2 and places this result in this dual number

add

public void add(DualScalar d)

Adds the supplied dual number to this

sub

public void sub(DualScalar d1,
                DualScalar d2)

Subtracts d2 from d1 and places the result in this dual number

sub

public void sub(DualScalar d)

Subtracts d from this dual number

mul

public void mul(DualScalar d1,
                DualScalar d2)

Multiplies dual numbers d1*d2 and places the result in this

mul

public void mul(DualScalar d)

Multiplies by the supplied dual number

div

public void div(DualScalar d1,
                DualScalar d2)

Divides dual numbers d1/d2 and places the result in this

div

public void div(DualScalar d)

Divides by the supplied dual number

conjugate

public void conjugate(DualScalar d)

Assigns this dual number to the conjugate of d: (a+e*b)' = a-e*b

conjugate

public void conjugate()

Conjugates the current dual number (a+e*b)' = a-e*b

norm

public double norm()

Magnitude of |a+e*b| = |a|

sqrt

public void sqrt(DualScalar d)

Computes d^(1/2) and places the result in this.

sqrt

public void sqrt()

Computes sqrt(this)

pow

public void pow(DualScalar d,
                DualScalar e)

Computes d^e and places the result in this

pow

public void pow(DualScalar e)

Computes (this)^e

invert

public void invert(DualScalar d)

Computes 1/d and places this result in this

invert

public void invert()

getReal

public double getReal()

getDual

public double getDual()

toString

public java.lang.String toString()

Overrides:

toString in class java.lang.Object

toString

public java.lang.String toString(java.lang.String fmtStr)