Matrix

A four by four row-major matrix modeled after the XNA Game Studio math library.

Header

#include <SimpleMath.h>

Initialization

using namespace DirectX::SimpleMath;

Matrix m;                  // Creates an identity matrix
Matrix m(1, 2, 3, 4,
         5, 6, 7, 8,
         9, 10, 11, 12,
         13, 14, 15, 16);  // Creates a matrix [1 2 3 4
                           //                   | 5 6 7 8
                           //                   | 9 10 11 12
                           //                   | 13 14 15 16 ]
Matrix m( Vector3(1,2,3),
          Vector3(4,5,6),
          Vector(7,8,9) ); // Creates a matrix [1 2 3 0
                           //                   | 4 5 6 0
                           //                   | 7 8 9 0
                           //                   | 0 0 0 1 ]
Matrix m( Vector4(1, 2, 3, 4),
          Vector4(5, 6, 7, 8),
          Vector4(9, 10, 11, 12),
          Vector4(13, 14, 15, 16) ); // Creates a matrix [1 2 3 4
                                     //                   | 5 6 7 8
                                     //                   | 9 10 11 12
                                     //                   | 13 14 15 16 ]
float arr[16] = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 };
Matrix m( arr );           // Creates a matrix [1 2 3 0
                           //                   | 4 5 6 0
                           //                   | 7 8 9 0
                           //                   | 0 0 0 1 ]

Fields

• _11, _12, _13, _14: First row of matrix
• _21, _22, _23, _24: Second row of matrix
• _31, _32, _33, _34: Third row of matrix
• _41, _42, _43, _44: Fourth row of matrix

Properties

• Up: The up direction vector from the matrix
• Down: The down direction vector from the matrix
• Right: The right direction vector from the matrix
• Left: The left direction vector from the matrix
• Forward: The forward direction vector in right-handed (RH) coordinates from the matrix
• Backward: The backward direction vector in right-handed (RH) coordinates from the matrix
• Translation: Returns the translation in the matrix

Methods

• Comparison operators: == and !=
• Assignment operators: =, +=, -=, *=, /=
• Unary operators: +, -
• Binary operators: +, -, *, /
• Decompose
• Transpose
• Invert
• Determinant

Statics

• CreateBillboard
• CreateConstrainedBillboard
• CreateTranslation
• CreateScale
• CreateRotationX
• CreateRotationY
• CreateRotationZ
• CreateFromAxisAngle
• CreatePerspectiveFieldOfView
• CreatePerspective
• CreatePerspectiveOffCenter
• CreateOrthographic
• CreateOrthographicOffCenter
• CreateLookAt
• CreateWorld
• CreateFromQuaternion
• CreateFromYawPitchRoll
• CreateShadow
• CreateReflection
• Lerp
• Transform

Constants

• Identity: An identity matrix

Remark

Matrix can freely convert to and from a XMFLOAT4X4 and XMMATRIX.

You can copy or assign a Matrix from a XMFLOAT3X3 or XMFLOAT4X3.