Complex3x1

java.lang.Object
- org.interpss.numeric.datatype.Complex3x1

All Implemented Interfaces:

java.io.Serializable
```
public class Complex3x1
extends java.lang.Object
implements java.io.Serializable
```
Data structure class for manipulating 3x1 [a,b,c] or [0,1,2] complex number vector

See Also:

Serialized Form

Field Summary

Fields
Modifier and Type	Field and Description
`org.apache.commons.math3.complex.Complex`	`a_0`
`org.apache.commons.math3.complex.Complex`	`b_1`
`org.apache.commons.math3.complex.Complex`	`c_2`
`static int`	`Index_0`
`static int`	`Index_1`
`static int`	`Index_2`
`static int`	`Index_a`
`static int`	`Index_b`
`static int`	`Index_c`

Constructor Summary

Constructors
Constructor and Description
`Complex3x1()` Default constructor.
`Complex3x1(org.apache.commons.math3.complex.Complex[] c)` Constructor.
`Complex3x1(Complex3x1 c)` Copy Constructor
`Complex3x1(org.apache.commons.math3.complex.Complex a0, org.apache.commons.math3.complex.Complex b1, org.apache.commons.math3.complex.Complex c2)` Constructor.
`Complex3x1(double a0, double b1, double c2)` Constructor.

Method Summary

All Methods Static Methods Instance Methods Concrete Methods
Modifier and Type	Method and Description
`static Complex3x1`	`abc_to_z12(Complex3x1 abc)` Transformation from abc to 012 system
`double`	`abs()` get the absolute value of this object
`double`	`absMax()` get max[abs(a_0), abs(b_1), abs(c_2)]
`Complex3x1`	`add(Complex3x1 y)` add this object with a Complex3x1 x+y = [ x.a_0+y.a_0, x.b_1+y.b_1, x.c_2+y.c_2 ]
`Complex3x1`	`clone()`
`Complex3x1`	`conjugate()` convert the complex object to its conjugate
`Complex3x1`	`divide(Complex3x1 y)` devide this object with a Complex3x1 x/y = [ x.a_0/y.a_0, x.b_1/y.b_1, x.c_2/y.c_2 ]
`org.apache.commons.math3.complex.Complex`	`dotProduct(Complex3x1 value)` multiply the object with a complex3x1 object, and get the sum.
`Complex3x1`	`multiply(Complex3x1 y)` multiply the object with a complex3x1 object => [x.ay.a, x.by.b, x.c*y.c]
`Complex3x1`	`multiply(double d)` multiply the object with a double value
`Complex3x1`	`multiply(double d0, double d1, double d2)` multiply the object with three double values, as follows this.a_0.multiply(d0), this.b_1.multiply(d1), this.c_2.multiply(d2)
`Complex3x1`	`negate()`
`Complex3x1`	`subtract(Complex3x1 y)` subtract this object with a Complex3x1 x - y = [ x.a_0-y.a_0, x.b_1-y.b_1, x.c_2-y.c_2 ]
`Complex3x1`	`to012()` convert this object from abc to 012
`Complex3x1`	`toABC()` convert this object from 012 to abc
`org.apache.commons.math3.complex.Complex[]`	`toArray()`
`java.lang.String`	`toString()` Convert the obj to a string.
`static Complex3x1`	`valueOf(Complex3x1 c)`
`static Complex3x1`	`z12_to_abc(Complex3x1 z12)` Transformation from 012 to abc system

Methods inherited from class java.lang.Object
equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

- Field Detail
  - Index_0
```
public static final int Index_0
```
    See Also:
    
    Constant Field Values
  - Index_1
```
public static final int Index_1
```
    See Also:
    
    Constant Field Values
  - Index_2
```
public static final int Index_2
```
    See Also:
    
    Constant Field Values
  - Index_a
```
public static final int Index_a
```
    See Also:
    
    Constant Field Values
  - Index_b
```
public static final int Index_b
```
    See Also:
    
    Constant Field Values
  - Index_c
```
public static final int Index_c
```
    See Also:
    
    Constant Field Values
  - a_0
```
public org.apache.commons.math3.complex.Complex a_0
```
  - b_1
```
public org.apache.commons.math3.complex.Complex b_1
```
  - c_2
```
public org.apache.commons.math3.complex.Complex c_2
```
- Constructor Detail
  - Complex3x1
```
public Complex3x1()
```
    Default constructor.
  - Complex3x1
```
public Complex3x1(org.apache.commons.math3.complex.Complex a0,
                  org.apache.commons.math3.complex.Complex b1,
                  org.apache.commons.math3.complex.Complex c2)
```
    Constructor. this obj = [a0, b1, c2]
    
    Parameters:
    
    a0 - a complex number
    
    b1 - a complex number
    
    c2 - a complex number
  - Complex3x1
```
public Complex3x1(double a0,
                  double b1,
                  double c2)
```
    Constructor. this obj = [a0, b1, c2]
    
    Parameters:
    
    a0 - a complex number
    
    b1 - a complex number
    
    c2 - a complex number
  - Complex3x1
```
public Complex3x1(org.apache.commons.math3.complex.Complex[] c)
```
    Constructor. this obj = [a0, b1, c2]
    
    Parameters:
    
    a0 - a complex number
    
    b1 - a complex number
    
    c2 - a complex number
  - Complex3x1
```
public Complex3x1(Complex3x1 c)
```
    Copy Constructor
    
    Parameters:
    
    c - obj to be copied
- Method Detail
  - abc_to_z12
```
public static Complex3x1 abc_to_z12(Complex3x1 abc)
```
    Transformation from abc to 012 system
    
    Parameters:
    
    abc - a 3x1 complex vector in abc system
    
    Returns:
    
    resulting 3x1 complex vector in 012 system
  - valueOf
```
public static Complex3x1 valueOf(Complex3x1 c)
```
  - negate
```
public Complex3x1 negate()
```
  - clone
```
public Complex3x1 clone()
```
    Overrides:
    
    clone in class java.lang.Object
  - conjugate
```
public Complex3x1 conjugate()
```
    convert the complex object to its conjugate
    
    Returns:
    
    the converted object (a new Complex3x1 object)
  - toArray
```
public org.apache.commons.math3.complex.Complex[] toArray()
```
  - add
```
public Complex3x1 add(Complex3x1 y)
```
    add this object with a Complex3x1 x+y = [ x.a_0+y.a_0, x.b_1+y.b_1, x.c_2+y.c_2 ]
    
    Parameters:
    
    y - the add value
    
    Returns:
    
    the resulting object (a new Complex3x1 object)
  - subtract
```
public Complex3x1 subtract(Complex3x1 y)
```
    subtract this object with a Complex3x1 x - y = [ x.a_0-y.a_0, x.b_1-y.b_1, x.c_2-y.c_2 ]
    
    Parameters:
    
    y - the subtract value
    
    Returns:
    
    the resulting object (a new Complex3x1 object)
  - multiply
```
public Complex3x1 multiply(double d)
```
    multiply the object with a double value
    
    Parameters:
    
    d - the double value
    
    Returns:
  - multiply
```
public Complex3x1 multiply(double d0,
                           double d1,
                           double d2)
```
    multiply the object with three double values, as follows this.a_0.multiply(d0), this.b_1.multiply(d1), this.c_2.multiply(d2)
    
    Parameters:
    
    d - the double value
    
    Returns:
  - multiply
```
public Complex3x1 multiply(Complex3x1 y)
```
    multiply the object with a complex3x1 object => [x.a*y.a, x.b*y.b, x.c*y.c]
    
    Parameters:
    
    y - the complex3x1 value
    
    Returns:
  - dotProduct
```
public org.apache.commons.math3.complex.Complex dotProduct(Complex3x1 value)
```
    multiply the object with a complex3x1 object, and get the sum. i.e., x.a*y.a + x.b*y.b + x.c*y.c
    
    Parameters:
    
    y - the complex value
    
    Returns:
  - divide
```
public Complex3x1 divide(Complex3x1 y)
```
    devide this object with a Complex3x1 x/y = [ x.a_0/y.a_0, x.b_1/y.b_1, x.c_2/y.c_2 ]
    
    Parameters:
    
    y - the devider
    
    Returns:
    
    the resulting object (a new Complex3x1 object)
  - abs
```
public double abs()
```
    get the absolute value of this object
    
    Returns:
    
    the absolute value
  - absMax
```
public double absMax()
```
    get max[abs(a_0), abs(b_1), abs(c_2)]
    
    Returns:
    
    the max value
  - to012
```
public Complex3x1 to012()
```
    convert this object from abc to 012
    
    Returns:
    
    the converted object
  - toABC
```
public Complex3x1 toABC()
```
    convert this object from 012 to abc
    
    Returns:
    
    the converted object
  - z12_to_abc
```
public static Complex3x1 z12_to_abc(Complex3x1 z12)
```
    Transformation from 012 to abc system
    
    Parameters:
    
    abc - a 3x1 complex vector in 012 system
    
    Returns:
    
    resulting 3x1 complex vector in abc system
  - toString
```
public java.lang.String toString()
```
    Convert the obj to a string.
    
    Overrides:
    
    toString in class java.lang.Object
    
    Returns:
    
    the string representation of the obj

Class Complex3x1

Field Summary

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Field Detail

Index_0

Index_1

Index_2

Index_a

Index_b

Index_c

a_0

b_1

c_2

Constructor Detail

Complex3x1

Complex3x1

Complex3x1

Complex3x1

Complex3x1

Method Detail

abc_to_z12

valueOf

negate

clone

conjugate

toArray

add

subtract

multiply

multiply

multiply

dotProduct

divide

abs

absMax

to012

toABC

z12_to_abc

toString