A C D E G I M N P S T

A

add(Tuple) - Method in class cas.Tuple

Add the given tuple (entry by entry) to this tuple (this+t).

add(Tuple, Tuple) - Method in class cas.Tuple

Add the two tuples (entry by entry) and set the entries of this tuple to be the result (t1+t2).

AlgebraicVector - class cas.AlgebraicVector.

A class representing the abstract entity "n dimensional vector".

AlgebraicVector(AlgebraicVector) - Constructor for class cas.AlgebraicVector

Copy constructor, create a vector according to the given vector.

AlgebraicVector(double[]) - Constructor for class cas.AlgebraicVector

Create a vector according to the given double array.

AlgebraicVector(int) - Constructor for class cas.AlgebraicVector

Create a vector of the given size, with all entries initialized to zero.

AlgebraicVector(int, double) - Constructor for class cas.AlgebraicVector

Create a vector of the given size, with all entries initialized to the given value.

AlgebraicVector(Tuple) - Constructor for class cas.AlgebraicVector

Create a vector according to the given tuple.

AlgebraicVector3D - class cas.AlgebraicVector3D.

A class representing the entity "3 dimensional vector".

AlgebraicVector3D() - Constructor for class cas.AlgebraicVector3D

Create a 3D vector with all entries initialized to zero.

AlgebraicVector3D(AlgebraicVector3D) - Constructor for class cas.AlgebraicVector3D

Copy constructor, create a 3D vector according to the given 3D vector.

AlgebraicVector3D(double) - Constructor for class cas.AlgebraicVector3D

Create a 3D vector with all entries initialized to the given value.

AlgebraicVector3D(double[]) - Constructor for class cas.AlgebraicVector3D

Create a 3D vector according to the given double array.

AlgebraicVector3D(double, double, double) - Constructor for class cas.AlgebraicVector3D

Create a 3D vector with the given coordinates.

angle(AlgebraicVector) - Method in class cas.AlgebraicVector

Compute the angle between this vector and the given vector.

C

clamp(double, double) - Method in class cas.Tuple

Clamp the entries of this tuple to be in the interval [min,max].

clamp(double, double, Tuple) - Method in class cas.Tuple

Clamp the entries of the given tuple to be in the interval [min,max] and set this tuple to be the result.

cross(AlgebraicVector3D, AlgebraicVector3D) - Method in class cas.AlgebraicVector3D

Compute the cross product v1Xv2 and place the result in this 3D vector.

D

data - Variable in class cas.Tuple

The tuple data is stored in an array which is accesible from outside the class, for greater speed.

distanceL1(Point) - Method in class cas.Point

Compute the distance between the points using the L1 norm, ( sum(|this(i) - p(i)|) ).

distanceL2(Point) - Method in class cas.Point

Compute the distance between the points using the L2 norm, ( sqrt(sum((this(i) - p(i))^2)) ).

distanceL2Squared(Point) - Method in class cas.Point

Compute the distance between the points using the L2 norm without taking the square root, ( sum((this(i) - p(i))^2) ).

distanceLinf(Point) - Method in class cas.Point

Compute the distance between the points using the Linfinity norm, ( max(|this(i) - p(i)|) ).

div(Tuple) - Method in class cas.Tuple

Divide this tuple by the given tuple (entry by entry) (this/t).

div(Tuple, Tuple) - Method in class cas.Tuple

Divide the two tuples (entry by entry) and set the entries of this tuple to be the result (t1/t2).

dot(AlgebraicVector) - Method in class cas.AlgebraicVector

Computes the dot product between this vector and the given vector.

E

equals(Tuple, double) - Method in class cas.Tuple

Compare the given tuple with this tuple using the L infinity norm ( max(|this(i) - t(i)|) < epsilon ).

G

getDimension() - Method in class cas.Tuple

Get the dimensionality of this tuple.

I

interpolate(Tuple, double) - Method in class cas.Tuple

Set this tuple to be the linear interpolation between this tuple and the given tuple ( alpha*t + (1-alpha)*this ).

interpolate(Tuple, Tuple, double) - Method in class cas.Tuple

Set this tuple to be the linear interpolation between the two given tuples ( alpha*t2 + (1-alpha)*t1 ).

M

max() - Method in class cas.Tuple

Maximal entry in tuple.

min() - Method in class cas.Tuple

Minimal entry in tuple.

mul(Tuple) - Method in class cas.Tuple

Multiply the given tuple (entry by entry) with this tuple (this*t).

mul(Tuple, Tuple) - Method in class cas.Tuple

Multiply the two tuples (entry by entry) and set the entries of this tuple to be the result (t1*t2).

N

negate() - Method in class cas.Tuple

Negate all entries in this tuple.

negate(Tuple) - Method in class cas.Tuple

Set this tuple to the negative of the given tuple.

normalize() - Method in class cas.AlgebraicVector

Normalize this vector, make this vector a unit vector.

normalize(AlgebraicVector) - Method in class cas.AlgebraicVector

Normalize the given vector and place the result in this vector.

normL1() - Method in class cas.AlgebraicVector

Compute the L1 norm of this vector.

normL2() - Method in class cas.AlgebraicVector

Compute the L2 norm of this vector.

normL2Squared() - Method in class cas.AlgebraicVector

Compute the squared L2 norm of this vector.

normLinf() - Method in class cas.AlgebraicVector

Compute the Linfinity norm of this vector.

P

Point - class cas.Point.

A class representing the abstract entity "n dimensional point".

Point(double[]) - Constructor for class cas.Point

Create a point according to the given double array.

Point(int) - Constructor for class cas.Point

Create a point of the given size, with all entries initialized to zero.

Point(int, double) - Constructor for class cas.Point

Create a point of the given size, with all entries initialized to the given value.

Point(Point) - Constructor for class cas.Point

Copy constructor, create a point according to the given point.

Point(Tuple) - Constructor for class cas.Point

Create a point according to the given tuple.

Point3D - class cas.Point3D.

A class representing the entity "3 dimensional Point".

Point3D() - Constructor for class cas.Point3D

Create a point with all entries initialized to zero.

Point3D(double) - Constructor for class cas.Point3D

Create a point with all entries initialized to the given value.

Point3D(double[]) - Constructor for class cas.Point3D

Create a point according to the given double array.

Point3D(double, double, double) - Constructor for class cas.Point3D

Create a point according to the given coordinates.

Point3D(Point3D) - Constructor for class cas.Point3D

Copy constructor, create a point according to the given point.

S

scale(double) - Method in class cas.Tuple

Multiply all entries in the tuple by the given scalar.

scale(double, Tuple) - Method in class cas.Tuple

Multiply all entries in the given tuple by the given scalar and set this tuple to the result.

set(double) - Method in class cas.Tuple

Set all entries of this tuple to the given value.

set(double[]) - Method in class cas.Tuple

Set the data in this tuple to be the same as the given array.

set(double, double, double) - Method in class cas.Point3D

Set the point's coordinates to the given coordinates.

set(Tuple) - Method in class cas.Tuple

Set the data in this tuple to be the same as the given tuple.

sub(Tuple) - Method in class cas.Tuple

Subtract the given tuple (entry by entry) from this tuple (this-t).

sub(Tuple, Tuple) - Method in class cas.Tuple

Subtract the two tuples (entry by entry) and set the entries of this tuple to be the result (t1-t2).

T

toString() - Method in class cas.Tuple

The string representation of a tuple.

Tuple - class cas.Tuple.

A class representing the abstract mathematical entity "n dimenssional Tuple".

Tuple(double[]) - Constructor for class cas.Tuple

Create a tuple according to the given double array.

Tuple(int) - Constructor for class cas.Tuple

Create a tuple of the given size, with all entries initialized to zero.

Tuple(int, double) - Constructor for class cas.Tuple

Create a tuple of the given size, with all entries initialized to the given value.

Tuple(Tuple) - Constructor for class cas.Tuple

Copy constructor, create a tuple according to the given tuple.

A C D E G I M N P S T