Geometry library.
|
Classes |
| struct | Vector4 |
| | A 4d vector or point. More...
|
| struct | Vector3 |
| | A 3d vector or point. More...
|
| struct | Vector2 |
| | A 2d vector or point. More...
|
| struct | Matrix4 |
| | A 4x4 matrix. More...
|
| struct | Matrix3 |
| | A 3x3 matrix. More...
|
| struct | Matrix2 |
| | A 2x2 matrix. More...
|
| struct | VectorN |
| | Base type of all vectors. More...
|
| struct | MatrixN |
| | Base type of all square matrices (row-based). More...
|
Functions |
|
float | MatDeterminant (const Matrix4 &mat) |
| | finds the determinant of a matrix
|
|
float | MatDeterminant (const Matrix3 &mat) |
| | finds the determinant of a matrix
|
|
Matrix4 | MatProjectionFoV (float fov=PI/2, float aspectYdivX=1.0f, float nearZ=1.0f, float farZ=1000.0f) |
| | constructs a perspective projection transform
|
|
Matrix4 | MatProjectionOrtho (float left, float right, float bottom, float top, float nearZ=1.0f, float farZ=1000.0f) |
| | constructs a parallel projection transform
|
|
Matrix4 | MatViewLookAt (const Vector3 &pos, const Vector3 &tar, const Vector3 &vagueUp=Vector3(0, 0, 1), bool flipVert=false, bool flipHorz=false) |
| | constructs a look-at-based left-handed view transformation
|
|
bool | NearEqual (float c0, float c1, float tolerance=FLOAT_TOLERANCE) |
| | compare elements for "near equal"
|
|
template<typename VecType> |
| bool | NearEqual (const VecType &v1, const VecType &v2, float tolerance=FLOAT_TOLERANCE) |
| | compare elements for "near equal"
|
|
template<typename VecType> |
| bool | NearEqual (const VecType &v, float c, float tolerance=FLOAT_TOLERANCE) |
| | compare elements for "near equal"
|
|
bool | IsFinite (float c) |
| | return true if a float is valid
|
|
template<typename VecType> |
| bool | IsFinite (VecType &v) |
| | returns true if all elements are valid floats
|
|
template<typename VecType1, typename VecType2> |
| float | VecDot (const VecType1 &v1, const VecType2 &v2) |
| | dot product
|
|
struct Vector3 | VecCross (const struct Vector3 &v1, const struct Vector3 &v2) |
| | cross product
|
|
template<typename VecType> |
| VecType | VecNormal (const VecType &v) |
| | get the normalized version of a vector
|
|
template<typename VecType> |
| void | VecNormalize (VecType &v) |
| | normalize a vector
|
|
template<typename VecType1, typename VecType2> |
| float | VecAngleBetween (const VecType1 &l1, const VecType2 &l2) |
| | angle between vectors
|
|
template<typename VecType1, typename VecType2> |
| float | VecDistance (const VecType1 &l1, const VecType2 &l2) |
| | distance between two points
|
|
template<typename VecType1, typename VecType2> |
| VecType1 | VecReflect (const VecType1 &vec, const VecType2 &norm) |
| | reflect a vector off of a normal
|
|
template<typename MatType> |
| MatType | MatMul (const MatType &m1, const MatType &m2) |
| | multiply two matrices
|
|
float | MatDeterminant (const Matrix2 &mat) |
| | finds the determinant of a matrix
|
|
template<typename MatType> |
| MatType | MatTranspose (const MatType &mat) |
| | finds the transpose of a matrix
|
|
template<typename MatType> |
| MatType | MatInverse (const MatType &mat) |
| | finds the inverse of a matrix (undefined behaviour if inverse does not exist)
|
|
Matrix3 | MatRotateX (float angle) |
| | creates a matrix that rotates around the x axis
|
|
Matrix3 | MatRotateY (float angle) |
| | creates a matrix that rotates around the y axis
|
|
Matrix3 | MatRotateZ (float angle) |
| | creates a matrix that rotates around the z axis
|
|
Matrix3 | MatRotateAxis (const Vector3 &axis, float angle) |
| | creates a matrix that rotates around an axis
|
|
template<typename VecType> |
| VecType::GreaterMatrixType | MatTranslate (const VecType &offset) |
| | builds a translation matrix
|
|
Matrix4 | MatProjectionOrtho (float nearZ=1.0f, float farZ=1000.0f) |
| | constructs a parallel projection transform (from -1 to 1 on the x and y axis)
|
|
template<typename VecType> |
| VecType | TransformVector (const typename VecType::MatrixType &m, const VecType &v) |
| | multiply a matrix by a vector
|
|
template<typename T> |
| T | Lerp (const T &e0, const T &e1, float w) |
| | interpolates between two entities, with w as the interpolator between 0 and 1
|
|
template<typename T> |
| T | Bilerp (const T &e00, const T &e10, const T &e01, const T &e11, float x, float y) |
| | bilinearly interpolates between four entities (with x and y from 0 to 1)
|
Variables |
|
const float | PI2 = 6.2831853071f |
| | 2 PI
|
|
const float | PI = 3.14159265f |
| | PI.
|
|
const float | FLOAT_TOLERANCE = 0.00001f |
| | Acceptable range of closeness to count floats as equal.
|
Geometry library.
