Advanced Mathematics Functions Functions

This package deals with advanced mathematical functions

This page discusses:

*
*
*
+
+
+
-
-
<>
==
CrossProduct
Matrix
MatrixIdent
TransformationMatrix

*

Signature

*(a1 : Real, a2 : Matrix) : Matrix

Arguments


Name	Input / Output	Required?	Type	Comment
`a1`	In	Yes	Real	-
`a2`	In	Yes	Matrix	-

ReturnType

Matrix

*

Signature

*(a1 : Matrix, a2 : Real) : Matrix

Arguments


Name	Input / Output	Required?	Type	Comment
`a1`	In	Yes	Matrix	-
`a2`	In	Yes	Real	-

ReturnType

Matrix

*

Signature

*(a1 : Matrix, a2 : Matrix) : Matrix

Arguments


Name	Input / Output	Required?	Type	Comment
`a1`	In	Yes	Matrix	-
`a2`	In	Yes	Matrix	-

ReturnType

Matrix

+

Signature

+(a1 : Real, a2 : Matrix) : Matrix

Arguments


Name	Input / Output	Required?	Type	Comment
`a1`	In	Yes	Real	-
`a2`	In	Yes	Matrix	-

ReturnType

Matrix

+

Signature

+(a1 : Matrix, a2 : Matrix) : Matrix

Arguments


Name	Input / Output	Required?	Type	Comment
`a1`	In	Yes	Matrix	-
`a2`	In	Yes	Matrix	-

ReturnType

Matrix

+

Signature

+(a1 : Matrix, a2 : Real) : Matrix

Arguments


Name	Input / Output	Required?	Type	Comment
`a1`	In	Yes	Matrix	-
`a2`	In	Yes	Real	-

ReturnType

Matrix

-

Signature

-(a1 : Matrix, a2 : Matrix) : Matrix

Arguments


Name	Input / Output	Required?	Type	Comment
`a1`	In	Yes	Matrix	-
`a2`	In	Yes	Matrix	-

ReturnType

Matrix

-

Signature

-(a1 : Matrix, a2 : Real) : Matrix

Arguments


Name	Input / Output	Required?	Type	Comment
`a1`	In	Yes	Matrix	-
`a2`	In	Yes	Real	-

ReturnType

Matrix

<>

Signature

<>(a1 : Matrix, a2 : Matrix) : Boolean

Arguments


Name	Input / Output	Required?	Type	Comment
`a1`	In	Yes	Matrix	-
`a2`	In	Yes	Matrix	-

ReturnType

Boolean

==

Signature

==(a1 : Matrix, a2 : Matrix) : Boolean

Arguments


Name	Input / Output	Required?	Type	Comment
`a1`	In	Yes	Matrix	-
`a2`	In	Yes	Matrix	-

ReturnType

Boolean

CrossProduct

Function used to compute a vectorial product between two vectors of the same dimension.

Signature

CrossProduct(iVector1 : Vector, iVector2 : Vector) : Vector

Arguments


Name	Input / Output	Required?	Type	Comment
`iVector1`	In	Yes	Vector	First vector.
`iVector2`	In	Yes	Vector	Second vector.

ReturnType

Vector

Matrix

Function used to create a matrix.

Signature

Matrix(x : Integer, y : Integer, initVal : Real) : Matrix

Arguments


Name	Input / Output	Required?	Type	Comment
`x`	In	Yes	Integer	Number of rows
`y`	In	Yes	Integer	Number of columns
`initVal`	In	Yes	Real	Value of the entry

Matrix entries are separated by spaces
";" is the equivalent of a carriage return
"," is used to move from one column to the next.

ReturnType

Matrix

MatrixIdent

Function used to create a n × n square matrix with ones on the main diagonal and zeros elsewhere.

Signature

MatrixIdent(x : Integer) : Matrix

Arguments


Name	Input / Output	Required?	Type	Comment
`x`	In	Yes	Integer	Number of rows and columns

ReturnType

Matrix

TransformationMatrix

Function used to generate a transformation matrix according to a translation vector, an angle, a rotation axis and a scale vector entered by the user.

Signature

TransformationMatrix([Translation : Vector, Angle : Real, RotationAxis : Vector, Scale : Vector]) : Matrix

Arguments


Name	Input/Output	Required?	Type	Comment
`Translation`	In	No	Vector	Vector that represents the translation.
`Angle`	In	No	Real	Rotation angle in degrees.
`RotationAxis`	In	No	Vector	Vector that represents the rotation axis.
`Scale`	In	No	Vector	Vector that represents the scale. The default value is (1,1, 1)

ReturnType

Matrix

Example

let T, R, S (Vector)
let A (Real)
let M (Matrix)
T = [2, 2, 2]
A = 0
R = [1, 0, 0]
S = [3, 3, 3]
M = TransformationMatrix (T, A, R)
M = TransformationMatrix (T, A, R, S)
T = [1, 1, 1]
A = 90
M = TransformationMatrix (T, A, R)