Libraries.Compute.Matrix3

Matrix3 is a class representing a 3x3 matrix.

Example Code

use Libraries.Compute.Matrix3

Matrix3 matrix

matrix:Set(2, 5, 0, 1, 3, 0, 0, 0, 1)
matrix:Inverse()

number row0column0 = matrix:row0column0
number row0column1 = matrix:row0column1
number row0column2 = matrix:row0column2
number row1column0 = matrix:row1column0
number row1column1 = matrix:row1column1
number row1column2 = matrix:row1column2
number row2column0 = matrix:row2column0
number row2column1 = matrix:row2column1
number row2column2 = matrix:row2column2

output "The new matrix is:"
output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action adds a translational component to the matrix. This action is mainly used in graphics programming to represent translations.

Example Code

use Libraries.Compute.Matrix3

    Matrix3 matrix

    matrix:IdentityMatrix()

    matrix:AddTranslationalComponent(4, 5)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action adds a translational component to the matrix. This action is mainly used in graphics programming to represent translations.

Example Code

use Libraries.Compute.Matrix3
    use Libraries.Compute.Vector2

    Matrix3 matrix
    Vector2 translation

    matrix:IdentityMatrix()
    translation:Set(4, 5)

    matrix:AddTranslationalComponent(translation)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action adds a translational component to the matrix. This action is mainly used in graphics programming to represent translations.

Example Code

use Libraries.Compute.Matrix3
    use Libraries.Compute.Vector2

    Matrix3 matrix
    Vector2 translation

    matrix:IdentityMatrix()
    translation:Set(4, 5)

    matrix:AddTranslationalComponent(translation)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action compares two object hash codes and returns an integer. The result is larger if this hash code is larger than the object passed as a parameter, smaller, or equal. In this case, -1 means smaller, 0 means equal, and 1 means larger. This action was changed in Quorum 7 to return an integer, instead of a CompareResult object, because the previous implementation was causing efficiency issues.

Example Code

Object o
        Object t
        integer result = o:Compare(t) //1 (larger), 0 (equal), or -1 (smalle

This action creates and returns a new matrix that is a copy of the calling matrix

Example Code

use Libraries.Compute.Matrix3

    Matrix3 matrix
    Matrix3 copyMatrix

    copyMatrix:Set(8, 7, 6, 5, 4, 3, 2, 1, 0)
    matrix = copyMatrix:Copy()

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action computes the determinant of the matrix.

Example Code

use Libraries.Compute.Matrix3

    Matrix3 matrix

    matrix:Set(2, 5, 0, 1, 3, 0, 0, 0, 1)

    number determinant = matrix:Determinant()

    output "The determinant of the matrix is " + determina

This action determines if two objects are equal based on their hash code values.

Example Code

use Libraries.Language.Object
        use Libraries.Language.Types.Text
        Object o
        Text t
        boolean result = o:Equals(

This action multiply the matrix by a vector. Mathematically, this is v = M*v. This action won't change the matrix. This action will chagne the vecto

This action transposes the matrix.

Example Code

use Libraries.Compute.Matrix3

    Matrix3 matrix

    matrix:Set(0, 1, 2, 3, 4, 5, 6, 7, 8)

    matrix:Transpose()

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action gets the hash code for an object.

Example Code

Object o
        integer hash = o:GetHashCode

This action gets the rotation of the matrix in degrees.

Example Code

use Libraries.Compute.Matrix3

    Matrix3 matrix

    matrix:IdentityMatrix()
    matrix:SetToRotation(45)

    number rotation = matrix:GetRotation()

    output "The rotation is " + rotation + " degrees

This action gets the rotation of the matrix in radians.

Example Code

use Libraries.Compute.Matrix3

    Matrix3 matrix

    matrix:IdentityMatrix()
    matrix:SetToRotation(45)

    number rotation = matrix:GetRotationInRadians()

    output "The rotation is " + rotation + " radians

This action sets the scale component of the matrix to the passed scale vector, which is a 2D vector.

Example Code

use Libraries.Compute.Matrix3
    use Libraries.Compute.Vector2

    Matrix3 matrix
    Vector2 scale

    matrix:IdentityMatrix()
    scale:Set(2, 2)

    matrix:SetScale(scale)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action gets the scale component of the matrix.

Example Code

use Libraries.Compute.Matrix3
    use Libraries.Compute.Vector2

    Matrix3 matrix
    Vector2 scale

    matrix:IdentityMatrix()

    matrix:SetToScaling(2, 2)

    scale = matrix:GetScale()

    output "The scale is [" + scale:GetX() + ", " + scale:GetY() + "

This action gets the translational component of the matrix.

Example Code

use Libraries.Compute.Matrix3
    use Libraries.Compute.Vector2

    Matrix3 matrix
    Vector2 translation

    matrix:IdentityMatrix()

    matrix:AddTranslationalComponent(4, 5)

    translation = matrix:GetTranslation()

    output "The translation is [" + translation:GetX() + ", " + translation:GetY() + "

This action sets the matrix to the identity matrix.

Example Code

use Libraries.Compute.Matrix3

    Matrix3 matrix
    matrix:IdentityMatrix()

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action computes the inverse of the matrix.

Example Code

use Libraries.Compute.Matrix3

    Matrix3 matrix

    matrix:Set(2, 5, 0, 1, 3, 0, 0, 0, 1)

    matrix:Inverse()

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action performs the matrix multiplication matrixA * matrixB. The result is stored in the calling matrix. Calling C:Multiply(A, B) results in C = AB.

Example Code

use Libraries.Compute.Matrix3

    Matrix3 matrixA
    Matrix3 matrixB
    Matrix3 product

    matrixA:Set(0, 2, 4, 6, 8, 10, 12, 14, 16)
    matrixB:Set(1, 3, 5, 7, 9, 11, 13, 15, 17)

    product:Multiply(matrixA, matrixB)

    number row0column0 = product:row0column0
    number row0column1 = product:row0column1
    number row0column2 = product:row0column2
    number row1column0 = product:row1column0
    number row1column1 = product:row1column1
    number row1column2 = product:row1column2
    number row2column0 = product:row2column0
    number row2column1 = product:row2column1
    number row2column2 = product:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action multiplies the calling matrix by the passed matrix and stores the result in the calling matrix. Calling A:Multiply(B) results in A = AB.

Example Code

use Libraries.Compute.Matrix3

    Matrix3 matrixA
    Matrix3 matrixB

    matrixA:Set(0, 2, 4, 6, 8, 10, 12, 14, 16)
    matrixB:Set(1, 3, 5, 7, 9, 11, 13, 15, 17)

    matrixA:Multiply(matrixB)

    number row0column0 = matrixA:row0column0
    number row0column1 = matrixA:row0column1
    number row0column2 = matrixA:row0column2
    number row1column0 = matrixA:row1column0
    number row1column1 = matrixA:row1column1
    number row1column2 = matrixA:row1column2
    number row2column0 = matrixA:row2column0
    number row2column1 = matrixA:row2column1
    number row2column2 = matrixA:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action sets the matrix to the rotation matrix for the passed angle in degrees counter-clockwise about the passed axis. A rotation matrix is often used in graphics programming to represent rotations.

Example Code

use Libraries.Compute.Matrix3
    use Libraries.Compute.Vector3

    Matrix3 matrix
    Vector3 axis
    
    axis:Set(0, 0, 1)
    matrix:SetToRotation(axis, 45)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action rotates the matrix by the given angle in degrees.

Example Code

use Libraries.Compute.Matrix3
    
    Matrix3 matrix
    matrix:IdentityMatrix()

    matrix:Rotate(45)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action rotates the matrix by the given angle in radians.

Example Code

use Libraries.Compute.Matrix3
    use Libraries.Compute.Math

    Math math
    
    Matrix3 matrix
    matrix:IdentityMatrix()

    matrix:RotateInRadians(math:pi / 4)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action scales the matrix by the given scale vector.

Example Code

use Libraries.Compute.Matrix3
    use Libraries.Compute.Vector2

    Matrix3 matrix
    Vector2 scale

    matrix:IdentityMatrix()
    scale:Set(2, 2)
    
    matrix:Scale(scale)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action scales the matrix by the given scale values in the x and y directions.

Example Code

use Libraries.Compute.Matrix3

    Matrix3 matrix
    matrix:IdentityMatrix()
    
    matrix:Scale(2, 2)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action sets the matrix to the values of the passed 4-by-4 matrix. The last row and last column of the passed 4-by-4 matrix are not used to set this matrix.

Example Code

use Libraries.Compute.Matrix3
    use Libraries.Compute.Matrix4

    Matrix3 matrix
    Matrix4 biggerMatrix

    biggerMatrix:Set(0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15)

    matrix:Set(biggerMatrix)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action sets the matrix to be a copy of the passed matrix.

Example Code

use Libraries.Compute.Matrix3

    Matrix3 matrix
    Matrix3 copyMatrix

    copyMatrix:Set(8, 7, 6, 5, 4, 3, 2, 1, 0)
    matrix:Set(copyMatrix)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action sets the values of the matrix using the values of the passed array. The values of the array are used in order to set the matrix values row by row. For example, the first element in the array is used to set the cell of the matrix in the first row and first column, the second element is used to set the cell of the matrix in the first row and second column, the third element for the first row and third column, the fourth element for the second row and first column, etc.

Example Code

use Libraries.Compute.Matrix3
    use Libraries.Containers.Array

    Matrix3 matrix
    Array<number> array

    integer i = 0
    repeat 9 times
        array:Add(i)
        i = i + 1
    end

    matrix:Set(array)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action sets the matrix using the values of the passed Affine2. An Affine2 is essentially a 3-by-3 matrix used to represent transformations where the last row is always (0, 0, 1).

Example Code

use Libraries.Compute.Matrix3
    use Libraries.Compute.Affine2

    Matrix3 matrix
    Affine2 affine

    affine:Identity()
    
    matrix:Set(affine)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action sets the values of the array to the passed values.

Example Code

use Libraries.Compute.Matrix3

    Matrix3 matrix
    matrix:Set(0, 1, 2, 3, 4, 5, 6, 7, 8)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

pass in values in radia

This action sets the scale component of the matrix to the passed scale vector, which is a 3D vector. The z-component of the vector is ignored.

Example Code

use Libraries.Compute.Matrix3
    use Libraries.Compute.Vector3

    Matrix3 matrix
    Vector3 scale

    matrix:IdentityMatrix()
    scale:Set(2, 2, 2)

    matrix:SetScale(scale)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action sets the scale component of the matrix to the passed scale vector, which is a 2D vector.

Example Code

use Libraries.Compute.Matrix3
    use Libraries.Compute.Vector2

    Matrix3 matrix
    Vector2 scale

    matrix:IdentityMatrix()
    scale:Set(2, 2)

    matrix:SetScale(scale)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action sets the scale component of the matrix to the passed scale value.

Example Code

use Libraries.Compute.Matrix3

    Matrix3 matrix

    matrix:IdentityMatrix()

    matrix:SetScale(2)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action sets the matrix to the rotation matrix for the passed angle in degrees counter-clockwise about the passed axis. A rotation matrix is often used in graphics programming to represent rotations.

Example Code

use Libraries.Compute.Matrix3
    use Libraries.Compute.Vector3

    Matrix3 matrix
    Vector3 axis
    
    axis:Set(0, 0, 1)
    matrix:SetToRotation(axis, 45)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action sets the matrix to a rotation matrix about the passed axis using the cosine and sine of the angle of rotation. A rotation matrix is often used in graphics programming to represent rotations.

Example Code

use Libraries.Compute.Matrix3
    use Libraries.Compute.Vector3
    use Libraries.Compute.Math

    Math math

    Matrix3 matrix
    Vector3 axis

    number cosine = math:SquareRoot(2) / 2
    number sine = math:SquareRoot(2) / 2

    axis:Set(0, 0, 1)

    matrix:SetToRotation(axis, cosine, sine)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action sets the matrix to the rotation matrix for the passed angle in degrees counter-clockwise. A rotation matrix is often used in graphics programming to represent rotations.

Example Code

use Libraries.Compute.Matrix3

    Matrix3 matrix

    matrix:SetToRotation(45)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action sets the matrix to the rotation matrix for the passed angle in radians. A rotation matrix is often used in graphics programming to represent rotations.

Example Code

use Libraries.Compute.Matrix3
    use Libraries.Compute.Math

    Math math

    Matrix3 matrix

    matrix:SetToRotationInRadians(math:pi / 4)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action ses the matrix to a scaling matrix with the passed scales in the x and y directions. A scaling matrix is often used in graphics programming to represent a scale.

Example Code

use Libraries.Compute.Matrix3

    Matrix3 matrix

    matrix:SetToScaling(2, 2)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action ses the matrix to a scaling matrix with the passed vector as the scale vector. A scaling matrix is often used in graphics programming to represent a scale.

Example Code

use Libraries.Compute.Matrix3
    use Libraries.Compute.Vector2

    Matrix3 matrix
    Vector2 scale

    scale:Set(2, 2)

    matrix:SetToScaling(scale)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action sets the matrix to a translation matrix by the given vector representing the translation. A translation matrix is often used in graphics programming to represent translations.

Example Code

use Libraries.Compute.Matrix3
    use Libraries.Compute.Vector2

    Matrix3 matrix
    Vector2 translation

    translation:Set(4, 5)

    matrix:SetToTranslation(translation)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action sets the matrix to a translation matrix by the given x and y values. A translation matrix is often used in graphics programming to represent translations.

Example Code

use Libraries.Compute.Matrix3

    Matrix3 matrix

    matrix:SetToTranslation(4, 5)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action multiply the matrix by a vector. Mathematically, this is v = M*v. This action won't change the matrix. This action will chagne the vecto

This action translates the matrix by the given x and y translations.

Example Code

use Libraries.Compute.Matrix3

    Matrix3 matrix
    matrix:IdentityMatrix()

    matrix:Translate(4, 5)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action translates the matrix by the given translation vector.

Example Code

use Libraries.Compute.Matrix3
    use Libraries.Compute.Vector2

    Matrix3 matrix
    Vector2 translation

    matrix:IdentityMatrix()
    translation:Set(4, 5)

    matrix:Translate(translation)

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "

This action transposes the matrix.

Example Code

use Libraries.Compute.Matrix3

    Matrix3 matrix

    matrix:Set(0, 1, 2, 3, 4, 5, 6, 7, 8)

    matrix:Transpose()

    number row0column0 = matrix:row0column0
    number row0column1 = matrix:row0column1
    number row0column2 = matrix:row0column2
    number row1column0 = matrix:row1column0
    number row1column1 = matrix:row1column1
    number row1column2 = matrix:row1column2
    number row2column0 = matrix:row2column0
    number row2column1 = matrix:row2column1
    number row2column2 = matrix:row2column2

    output "The new matrix is:"
    output "|" + row0column0 + ", " + row0column1 + ", " + row0column2 + "|"
    output "|" + row1column0 + ", " + row1column1 + ", " + row1column2 + "|"
    output "|" + row2column0 + ", " + row2column1 + ", " + row2column2 + "