vect-0.4.6: A low-dimensional linear algebra library, tailored to computer graphics.Source codeContentsIndex
Data.Vect.Double.Util.Dim3
Synopsis
structVec3 :: [Double] -> [Vec3]
destructVec3 :: [Vec3] -> [Double]
det3 :: Vec3 -> Vec3 -> Vec3 -> Double
translate3X :: Double -> Vec3 -> Vec3
translate3Y :: Double -> Vec3 -> Vec3
translate3Z :: Double -> Vec3 -> Vec3
vec3X :: Vec3
vec3Y :: Vec3
vec3Z :: Vec3
rotMatrixZ :: Double -> Mat3
rotMatrixY :: Double -> Mat3
rotMatrixX :: Double -> Mat3
rotate3' :: Double -> Normal3 -> Vec3 -> Vec3
rotate3 :: Double -> Vec3 -> Vec3 -> Vec3
rotMatrix3 :: Vec3 -> Double -> Mat3
rotMatrixOrtho3 :: Vec3 -> Double -> Ortho3
rotMatrix3' :: Normal3 -> Double -> Mat3
rotMatrixOrtho3' :: Normal3 -> Double -> Ortho3
reflect :: Normal3 -> Vec3 -> Vec3
reflect' :: Normal3 -> Normal3 -> Normal3
refract :: Double -> Normal3 -> Vec3 -> Vec3
refract' :: Double -> Normal3 -> Normal3 -> Normal3
refractOnly' :: Double -> Normal3 -> Normal3 -> Maybe Normal3
Documentation
structVec3 :: [Double] -> [Vec3]Source
Example: structVec3 [1,2,3,4,5,6] = [ Vec3 1 2 3 , Vec3 4 5 6].
destructVec3 :: [Vec3] -> [Double]Source
The opposite of structVec3.
det3 :: Vec3 -> Vec3 -> Vec3 -> DoubleSource
translate3X :: Double -> Vec3 -> Vec3Source
translate3Y :: Double -> Vec3 -> Vec3Source
translate3Z :: Double -> Vec3 -> Vec3Source
vec3X :: Vec3Source
vec3Y :: Vec3Source
vec3Z :: Vec3Source
rotMatrixZ :: Double -> Mat3Source
rotMatrixY :: Double -> Mat3Source
rotMatrixX :: Double -> Mat3Source
rotate3'Source
:: Doubleangle (in radians)
-> Normal3axis (should be a unit vector!)
-> Vec3vector
-> Vec3result
rotate3Source
:: Doubleangle (in radians)
-> Vec3axis (arbitrary nonzero vector)
-> Vec3vector
-> Vec3result
rotMatrix3 :: Vec3 -> Double -> Mat3Source
Rotation around an arbitrary 3D vector. The resulting 3x3 matrix is intended for multiplication on the right.
rotMatrixOrtho3 :: Vec3 -> Double -> Ortho3Source
rotMatrix3' :: Normal3 -> Double -> Mat3Source
Rotation around an arbitrary 3D unit vector. The resulting 3x3 matrix is intended for multiplication on the right.
rotMatrixOrtho3' :: Normal3 -> Double -> Ortho3Source
reflect :: Normal3 -> Vec3 -> Vec3Source
Reflects a vector to an axis: that is, the result of reflect n v is 2<n,v>n - v
reflect' :: Normal3 -> Normal3 -> Normal3Source
refract :: Double -> Normal3 -> Vec3 -> Vec3Source
refract' :: Double -> Normal3 -> Normal3 -> Normal3Source

Refraction. First parameter (eta) is the relative refraction index 

        refl_inside
 eta = --------------
        refl_outside

where "inside" is the direction of the second argument (to vector normal to plane which models the boundary between the two materials). That is, total internal reflection can occur when eta>1.

The convention is that the origin is the point of intersection of the ray and the surface, and all the vectors "point away" from here (unlike, say, GLSL's refract, where the incident vector "points towards" the material)

refractOnly' :: Double -> Normal3 -> Normal3 -> Maybe Normal3Source
When total internal reflection would occur, we return Nothing.
Produced by Haddock version 2.4.1