Math functions utility header file. More...
Go to the source code of this file.
Namespaces | |
| namespace | VR3Math |
Math functions namespace. | |
Defines | |
| #define | VR3MATH_MAX2(A, B) ((A)>(B))?(A):(B) |
| Utility macro extracting the maximum between 2 values. | |
| #define | VR3MATH_MIN2(A, B) ((A)<(B))?(A):(B) |
| Utility macro extracting the minimum between 2 values. | |
| #define | VR3MATH_MAX3(A, B, C) ((A)>(B))?((A)>(C)?(A):(C)):((B)>(C)?(B):(C)) |
| Utility macro extracting the maximum among 3 values. | |
| #define | VR3MATH_MIN3(A, B, C) ((A)<(B))?((A)<(C)?(A):(C)):((B)<(C)?(B):(C)) |
| Utility macro extracting the minimnum among 3 values. | |
| #define | VR3MATH_PI 3.14159265f |
| PI GLfloat value. | |
Functions | |
3-Components Vectors | |
| GLvoid | VR3Math::Cross3 (GLfloat result[3], const GLfloat vector0[3], const GLfloat vector1[3]) |
| Computes the cross product of two 3-components vectors. | |
| GLfloat | VR3Math::Dot3 (const GLfloat vector0[3], const GLfloat vector1[3]) |
| Computes the dot product of two 3-components vectors. | |
| GLfloat | VR3Math::EuclideanNorm3 (const GLfloat vector[3]) |
| Computes the euclidean norm of a 3-components vector. | |
| GLfloat | VR3Math::EuclideanNorm3 (const GLfloat x, const GLfloat y, const GLfloat z) |
| Computes the euclidean norm of a 3-components vector. | |
| GLvoid | VR3Math::Normalize3 (GLfloat vector[3]) |
| Normalizes a 3-components vector. | |
4x4 Matrices | |
| GLfloat | VR3Math::Determinant4x4 (const GLfloat m[16]) |
| Computes the determinant of a 4x4 matrix. | |
| GLboolean | VR3Math::InvertMatrix4x4 (GLfloat result[16], const GLfloat m[16]) |
| Inverts a 4x4 matrix. | |
| GLvoid | VR3Math::MultMatrix4x4 (GLfloat matrix[16], const GLfloat matrix0[16], const GLfloat matrix1[16]) |
| Multiplies two 4x4 matrices. | |
| GLvoid | VR3Math::LoadIdentity4x4 (GLfloat matrix[16]) |
| Loads an identity 4x4 matrix. | |
| GLvoid | VR3Math::Rotate4x4 (GLfloat matrix[16], GLfloat angle, GLfloat x, GLfloat y, GLfloat z) |
| Combines a rototranslation matrix with a new rotation obtained using and angle and an axis. | |
| GLvoid | VR3Math::RotateAngles4x4 (GLfloat matrix[16], GLfloat ax, GLfloat ay, GLfloat az) |
| Combines a rototranslation matrix with a new rotation obtained using three angles. | |
| GLvoid | VR3Math::Translate4x4 (GLfloat matrix[16], GLfloat x, GLfloat y, GLfloat z) |
| Combines a rototranslation matrix with a new translation matrix. | |
| GLvoid | VR3Math::Scale4x4 (GLfloat matrix[16], GLfloat x, GLfloat y, GLfloat z) |
| Combines a rototranslation matrix with a new scale matrix. | |
| GLvoid | VR3Math::LookAt4x4 (GLfloat result[16], GLfloat eyeX, GLfloat eyeY, GLfloat eyeZ, GLfloat centerX, GLfloat centerY, GLfloat centerZ, GLfloat upX, GLfloat upY, GLfloat upZ) |
| Initializes a rototranslation matrix to look at a specified point. | |
| GLvoid | VR3Math::Ortho4x4 (GLfloat result[16], GLfloat left, GLfloat right, GLfloat bottom, GLfloat top, GLfloat nearVal, GLfloat farVal) |
| Sets up an orthogonal projection matrix. | |
| GLvoid | VR3Math::Perspective4x4 (GLfloat result[16], GLfloat fovy, GLfloat aspect, GLfloat zNear, GLfloat zFar) |
| Sets up a perspective projection matrix. | |
| GLvoid | VR3Math::Frustum4x4 (GLfloat result[16], GLfloat left, GLfloat right, GLfloat bottom, GLfloat top, GLfloat nearVal, GLfloat farVal) |
| Prepare perspective matrix that produces a perspective projection. | |
Matrices and vectors | |
| GLvoid | VR3Math::MultMat4x4Vector3 (GLfloat result[3], const GLfloat matrix[16], const GLfloat vector[3]) |
| Multiplies a transformation matrix to a 3-components vector. | |
| GLvoid | VR3Math::MultMat4x4Vector4 (GLfloat result[4], const GLfloat matrix[16], const GLfloat vector[4]) |
| Multiplies a transformation matrix to a 4-components vector. | |
| void | VR3Math::TriangleNormal (const GLfloat *vertex1, const GLfloat *vertex2, const GLfloat *vertex3, GLfloat *normal) |
| Computes the normal vector for a given triangle. | |
Math functions utility header file.
This header file declares some utility functions to work with vectors and matrices.
Definition in file VR3Math.h.
| #define VR3MATH_MAX2 | ( | A, | |
| B | |||
| ) | ((A)>(B))?(A):(B) |
| #define VR3MATH_MAX3 | ( | A, | |
| B, | |||
| C | |||
| ) | ((A)>(B))?((A)>(C)?(A):(C)):((B)>(C)?(B):(C)) |
| #define VR3MATH_MIN2 | ( | A, | |
| B | |||
| ) | ((A)<(B))?(A):(B) |
| #define VR3MATH_MIN3 | ( | A, | |
| B, | |||
| C | |||
| ) | ((A)<(B))?((A)<(C)?(A):(C)):((B)<(C)?(B):(C)) |
1.7.2
