SciLib.Math
Class quaternion

java.lang.Object
  SciLib.Math.quaternion

public class quaternion
extends java.lang.Object

This class contains some methods to handle a quaternion

Field Summary

rPoint	a public members
double	b

Constructor Summary

quaternion()
make a unit quaternion object <0, 1>

quaternion(double f, double x, double y, double z)
make a quaternion (x, y, z, d) object

quaternion(rPoint a, double b)
make a quaternion (a, b) object

Method Summary

quaternion	conjugate() the conjugate of this quaternion
static quaternion	conjugate(quaternion x, quaternion y) the division of 2 quaternions x/y
static quaternion	minus(quaternion x, quaternion y) minus 2 quaternions
static quaternion	mult(quaternion x, quaternion y) multiplication of 2 quaternions
double	norm() the square norm of this quaternion
static quaternion	plus(quaternion x, quaternion y) add 2 quaternions
void	print() print this quaternion on the screen
quaternion	reciprocal() the reciprocal of this quaternion
void	scale(double s) scale a quaternion
void	setPoint(double x, double y, double z, double d) set rPoint
java.lang.String	toString() make a String from this quaternion

Methods inherited from class java.lang.Object

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

Field Detail

a

public rPoint a

public members

b

public double b

Constructor Detail

quaternion

public quaternion()

make a unit quaternion object <0, 1>

quaternion

public quaternion(double f,
                  double x,
                  double y,
                  double z)

make a quaternion (x, y, z, d) object

Parameters:

f - the first coordinate

x - the second coordinate

y - the third coordinate

z - the fourth coordinate

quaternion

public quaternion(rPoint a,
                  double b)

make a quaternion (a, b) object

Parameters:

a - A rPoint object

b - the fourth coordinate

Method Detail

setPoint

public void setPoint(double x,
                     double y,
                     double z,
                     double d)

set rPoint

Parameters:

x - the first coordinate

y - the second coordinate

z - the third coordinate

d - the fourth coordinate

plus

public static quaternion plus(quaternion x,
                              quaternion y)

add 2 quaternions

Parameters:

x - a quaternion

y - a quaternion

Returns:

a quaternion

minus

public static quaternion minus(quaternion x,
                               quaternion y)

minus 2 quaternions

Parameters:

x - a quaternion

y - a quaternion

Returns:

a quaternion

mult

public static quaternion mult(quaternion x,
                              quaternion y)

multiplication of 2 quaternions

Parameters:

x - a quaternion

y - a quaternion

Returns:

a quaternion

conjugate

public quaternion conjugate()

the conjugate of this quaternion

Returns:

a quaternion

norm

public double norm()

the square norm of this quaternion

Returns:

a double value

reciprocal

public quaternion reciprocal()

the reciprocal of this quaternion

Returns:

a quaternion

scale

public void scale(double s)

scale a quaternion

Parameters:

s - A double value

conjugate

public static quaternion conjugate(quaternion x,
                                   quaternion y)

the division of 2 quaternions x/y

Returns:

a quaternion

toString

public java.lang.String toString()

make a String from this quaternion

Overrides:

toString in class java.lang.Object

Returns:

a String

print

public void print()

print this quaternion on the screen