Transformation matrix *single linear* *standard zero-based row-column index* | 0 4 8 12 | | Rot00*Sx Rot01 Rot02 TransX | | 1 5 9 13 | | Rot10 Rot11*Sy Rot12 TransY | | 2 6 10 14 | = | Rot20 Rot21 Rot22*Sz TransZ | | 3 7 11 15 | | 0 (30) 0 (31) 0 (32) 1 (33) |
Declaration Syntax
public class Matrix4D
Table 1799: Members
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Constructor | Matrix4D() |
Default constructor - creates identity 4x4 matrix |
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Constructor | Matrix4D(double[]) |
Construct 4x4 matrix initialized to given entries. If entries not valid, an identity 4x4 matrix is constructed. |
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Constructor | Matrix4D(Matrix4D) |
Copy constructor |
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Field | Identity |
Identity 4x4 matrix |
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Property | Determinant |
Matrix determinant accessor. |
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Property | Item |
A standard (row, column) indexer to the matrix entries | 0,0 0,1 0,2 0,3 | | 1,0 1,1 1,2 1,3 | | 2,0 2,1 2,2 2,3 | | 3,0 3,1 3,2 3,3 | |
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Property | Item |
An OpenGL compatible linear indexer to the matrix entries | 0 4 8 12 | | 1 5 9 13 | | 2 6 10 14 | | 3 7 11 15 | |
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Method | Add(Matrix4D) |
Add matrix to itself. |
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Method | CreateMirror(Vector3D, double) |
Create transformation matrix mirroring about a plane |
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Method | CreateRotate(Vector3D, double) |
Create transformation matrix that rotates about a given vector by a given angle |
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Method | CreateScale(double, double, double) |
Create scaling transformation matrix |
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Method | CreateSystem(Vector3D, Vector3D, Vector3D) |
Create transformation matrix converting to new coordinate system. |
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Method | CreateTranslate(double, double, double) |
Create translating transformation matrix |
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Method | Invert() |
Invert itself if determinant is non-zero. Return 0 if inverted; 1 - otherwise. |
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Method | Multiply(Matrix4D) |
Multiply this matrix by the given matrix |
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Method | Scale(double, double, double) |
Convenient method to combine x, y, z scale into itself. |
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Method | Subtract(Matrix4D) |
Subtract matrix from itself. |
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Method | ToString() |
String representation. |
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Method | Transform(Vector3D) |
Apply this transformation matrix to a given point/vector. Note: assumes (0,0,0,1) in last row. |
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Method | Translate(double, double, double) |
Convenient method to combine (x, y, z) translatation into itself. |
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Method | Transpose() |
Transpose itself. |
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operator | op_Addition(Matrix4D, Matrix4D) |
Matrix addition operator. |
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operator | op_Explicit(Matrix4D) |
Cast operator into OpenGL's format matrix array. |
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operator | op_Multiply(Matrix4D, Matrix4D) |
Matrix multiplication operator - assumes (0,0,0,1) in last row. |
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operator | op_Subtraction(Matrix4D, Matrix4D) |
Matrix subtraction operator. |