Development OpenTK Mathematics
Posted Monday, 7 June, 2010 - 20:08 by ShadowTM inHello I have a suggestion for the development of mathematics opentk. Based on this library, I began to develop a game engine, but saw an obvious shortage of functions for vector mathematics, vectors, matrices ... Some types of non-existent bounding box, sphere, frastum ... plane, ray. No mathematics intersections and collisions. The list goes on.
I think that is the foundation of any engine or game, the basic concepts without which it can not do.
This mathematics is written by me on C + +. I can add opentk necessary methods and classes without disrupting the overall structure, if they will be included in future releases, because I want to continue using this wonderful library.
Thank you.
For exemple i attach class Matrix on C++
class ENGINE_EXPORT Matrix { public: float M11; float M12; float M13; float M14; float M21; float M22; float M23; float M24; float M31; float M32; float M33; float M34; float M41; float M42; float M43; float M44; static Matrix Identity; Matrix() : M11(1.0f), M12(0.0f), M13(0.0f), M14(0.0f), M21(0.0f), M22(1.0f), M23(0.0f), M24(0.0f), M31(0.0f), M32(0.0f), M33(1.0f), M34(0.0f), M41(0.0f), M42(0.0f), M43(0.0f), M44(1.0f) { } Matrix(float m11, float m12, float m13, float m14, float m21, float m22, float m23, float m24, float m31, float m32, float m33, float m34, float m41, float m42, float m43, float m44); Matrix(const std::string& str); Vector3 VectorUp () { Vector3 vector; vector.X = M21; vector.Y = M22; vector.Z = M23; return vector; } void SetVectorUp(const Vector3& value) { M21 = value.X; M22 = value.Y; M23 = value.Z; } Vector3 VectorDown() { Vector3 vector; vector.X = -M21; vector.Y = -M22; vector.Z = -M23; return vector; } void SetVectorDown (const Vector3& value) { M21 = -value.X; M22 = -value.Y; M23 = -value.Z; } Vector3 VectorRight() { Vector3 vector; vector.X = M11; vector.Y = M12; vector.Z = M13; return vector; } void SetVectorRight(const Vector3& value) { M11 = value.X; M12 = value.Y; M13 = value.Z; } Vector3 VectorLeft() { Vector3 vector; vector.X = -M11; vector.Y = -M12; vector.Z = -M13; return vector; } void SetVectorLeft(const Vector3& value) { M11 = -value.X; M12 = -value.Y; M13 = -value.Z; } Vector3 VectorForward () { Vector3 vector; vector.X = -M31; vector.Y = -M32; vector.Z = -M33; return vector; } void SetVectorForward (const Vector3& value) { M31 = -value.X; M32 = -value.Y; M33 = -value.Z; } Vector3 VectorBackward() { Vector3 vector; vector.X = M31; vector.Y = M32; vector.Z = M33; return vector; } void SetVectorBackward(const Vector3& value) { M31 = value.X; M32 = value.Y; M33 = value.Z; } Vector3 Translation () { Vector3 vector; vector.X = M41; vector.Y = M42; vector.Z = M43; return vector; } void SetTranslation (const Vector3& value) { M41 = value.X; M42 = value.Y; M43 = value.Z; } ENGINE_FORSE_INLINE const float* ToArrayPointer() const { return (const float*)this; } Matrix operator -(const Matrix& matrix1) { Matrix matrix; matrix.M11 = -matrix1.M11; matrix.M12 = -matrix1.M12; matrix.M13 = -matrix1.M13; matrix.M14 = -matrix1.M14; matrix.M21 = -matrix1.M21; matrix.M22 = -matrix1.M22; matrix.M23 = -matrix1.M23; matrix.M24 = -matrix1.M24; matrix.M31 = -matrix1.M31; matrix.M32 = -matrix1.M32; matrix.M33 = -matrix1.M33; matrix.M34 = -matrix1.M34; matrix.M41 = -matrix1.M41; matrix.M42 = -matrix1.M42; matrix.M43 = -matrix1.M43; matrix.M44 = -matrix1.M44; return matrix; } friend bool operator == (const Matrix& matrix1, const Matrix& matrix2); friend bool operator != (const Matrix& matrix1, const Matrix& matrix2); friend Matrix operator + (const Matrix& matrix1, const Matrix& matrix2); friend Matrix operator - (const Matrix& matrix1, const Matrix& matrix2); friend Matrix operator * (const Matrix& matrix1, const Matrix& matrix2); friend Matrix operator * (const Matrix matrix, float scaleFactor); friend Matrix operator * (float scaleFactor, const Matrix& matrix); friend Matrix operator / (const Matrix& matrix1, const Matrix& matrix2); friend Matrix operator / (const Matrix& matrix1, float divider); std::string ToString(); float Determinant(); static Matrix CreateBillboard(const Vector3& objectPosition, const Vector3& cameraPosition, const Vector3& cameraUpVector, const Vector3& cameraForwardVector); static void CreateBillboard(const Vector3& objectPosition, const Vector3& cameraPosition, const Vector3& cameraUpVector, const Vector3& cameraForwardVector, Matrix& result); static Matrix CreateConstrainedBillboard(const Vector3& objectPosition, const Vector3& cameraPosition, const Vector3& rotateAxis, const Vector3& cameraForwardVector, const Vector3& objectForwardVector); static void CreateConstrainedBillboard(const Vector3& objectPosition, const Vector3& cameraPosition, const Vector3& rotateAxis, const Vector3& cameraForwardVector, const Vector3& objectForwardVector, Matrix& result); static Matrix CreateTranslation(const Vector3& position); static void CreateTranslation(const Vector3& position, Matrix& result); static Matrix CreateTranslation(float xPosition, float yPosition, float zPosition); static void CreateTranslation(float xPosition, float yPosition, float zPosition, Matrix& result); static Matrix CreateScale(float xScale, float yScale, float zScale); static void CreateScale(float xScale, float yScale, float zScale, Matrix& result); static Matrix CreateScale(const Vector3& scales); static void CreateScale(const Vector3& scales, Matrix& result); static Matrix CreateScale(float scale); static void CreateScale(float scale, Matrix& result); static Matrix CreateRotationX(float radians); static void CreateRotationX(float radians, Matrix& result); static Matrix CreateRotationY(float radians); static void CreateRotationY(float radians, Matrix& result); static Matrix CreateRotationZ(float radians); static void CreateRotationZ(float radians, Matrix& result); static Matrix CreateFromAxisAngle(Vector3& axis, float angle); static void CreateFromAxisAngle(const Vector3& axis, float angle, Matrix& result); static Matrix CreatePerspectiveFieldOfView(float fieldOfView, float aspectRatio, float nearPlaneDistance, float farPlaneDistance); static void CreatePerspectiveFieldOfView(float fieldOfView, float aspectRatio, float nearPlaneDistance, float farPlaneDistance, Matrix& result); static Matrix CreatePerspective(float width, float height, float nearPlaneDistance, float farPlaneDistance); static void CreatePerspective(float width, float height, float nearPlaneDistance, float farPlaneDistance, Matrix& result); static Matrix CreatePerspectiveOffCenter(float left, float right, float bottom, float top, float nearPlaneDistance, float farPlaneDistance); static void CreatePerspectiveOffCenter(float left, float right, float bottom, float top, float nearPlaneDistance, float farPlaneDistance, Matrix& result); static Matrix CreateOrthographic(float width, float height, float zNearPlane, float zFarPlane); static void CreateOrthographic(float width, float height, float zNearPlane, float zFarPlane, Matrix& result); static Matrix CreateOrthographicOffCenter(float left, float right, float bottom, float top, float zNearPlane, float zFarPlane); static void CreateOrthographicOffCenter(float left, float right, float bottom, float top, float zNearPlane, float zFarPlane, Matrix& result); static Matrix CreateLookAt(const Vector3& cameraPosition, const Vector3& cameraTarget, const Vector3 cameraUpVector); static void CreateLookAt(const Vector3& cameraPosition, const Vector3& cameraTarget, const Vector3& cameraUpVector, Matrix& result); static Matrix CreateWorld(const Vector3& position, const Vector3& forward, const Vector3& up); static void CreateWorld(const Vector3& position, const Vector3& forward, const Vector3& up, Matrix& result); static Matrix CreateFromQuaternion(const Quaternion& quaternion); static void CreateFromQuaternion(const Quaternion& quaternion, Matrix& result); static Matrix CreateFromYawPitchRoll(float yaw, float pitch, float roll); static void CreateFromYawPitchRoll(float yaw, float pitch, float roll, Matrix& result); static Matrix CreateShadow(const Vector3& lightDirection, Plane plane); static void CreateShadow(const Vector3& lightDirection, const Plane& plane, Matrix& result); static Matrix Createconstlection(const Plane& value); static void Createconstlection(const Plane& value, Matrix& result); static Matrix Transform(const Matrix& value, const Quaternion& rotation); static void Transform(const Matrix& value, const Quaternion& rotation, Matrix& result); static Matrix Transpose(const Matrix& matrix); static void Transpose(const Matrix& matrix, Matrix& result); static Matrix Invert(const Matrix& matrix); static void Invert(const Matrix& matrix, Matrix& result); static Matrix Lerp(const Matrix& matrix1, const Matrix& matrix2, float amount); static void Lerp(const Matrix matrix1, const Matrix matrix2, float amount, Matrix& result); static Matrix Negate(const Matrix& matrix); static void Negate(const Matrix& matrix, Matrix& result); static Matrix Add(const Matrix& matrix1, const Matrix& matrix2); static void Add(const Matrix& matrix1, const Matrix& matrix2, Matrix& result); static Matrix Subtract(const Matrix& matrix1, const Matrix& matrix2); static void Subtract(const Matrix& matrix1, const Matrix& matrix2, Matrix& result); static Matrix Multiply(const Matrix& matrix1, const Matrix& matrix2); static void Multiply(const Matrix& matrix1, const Matrix& matrix2, Matrix& result); static Matrix Multiply(const Matrix& matrix1, float scaleFactor); static void Multiply(const Matrix& matrix1, float scaleFactor, Matrix& result); static Matrix Divide(const Matrix& matrix1, const Matrix& matrix2); static void Divide(const Matrix& matrix1, const Matrix& matrix2, Matrix& result); static Matrix Divide(const Matrix& matrix1, float divider); static void Divide(const Matrix& matrix1, float divider, Matrix& result); void Decompose(Vector3& scale, Quaternion& rotation, Vector3& translation); private: struct CanonicalBasis { Vector3 Row0; Vector3 Row1; Vector3 Row2; }; struct VectorBasis { Vector3* Element0; Vector3* Element1; Vector3* Element2; }; };
Comments
Re: Development OpenTK Mathematics
Contributions to the math library are indeed welcome. If you have some code that you think would be useful in the math library, please attach it to a new feature request.
As a rule of thumb, it is desirable to follow the naming conventions of XNA to ease ports between that and OpenTK. New functions should also be added to Vector[234] at the same time where applicable.
(Hint: when posting source code, select it with the mouse and click on the "C#" or "C++" buttons to enable syntax highlighting).
Re: Development OpenTK Mathematics
Excellent. In the near future I will make changes.