Data.Vect.Double.Util.Dim3

Documentation

structVec3 :: [Double] -> [Vec3]

Example: structVec3 [1,2,3,4,5,6] = [ Vec3 1 2 3 , Vec3 4 5 6].

destructVec3 :: [Vec3] -> [Double]

The opposite of structVec3.

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'

Arguments

:: Double

angle (in radians)

-> Normal3

axis (should be a unit vector!)

-> Vec3

vector

-> Vec3

result

rotate3

Arguments

:: Double

angle (in radians)

-> Vec3

axis (arbitrary nonzero vector)

-> Vec3

vector

-> Vec3

result

rotMatrix3 :: Vec3 -> Double -> Mat3

Rotation around an arbitrary 3D vector. The resulting 3x3 matrix is intended for multiplication on the right.

rotMatrixOrtho3 :: Vec3 -> Double -> Ortho3

rotMatrix3' :: Normal3 -> Double -> Mat3

Rotation around an arbitrary 3D unit vector. The resulting 3x3 matrix is intended for multiplication on the right.

rotMatrixOrtho3' :: Normal3 -> Double -> Ortho3

reflect :: Normal3 -> Vec3 -> Vec3

Reflects a vector to an axis: that is, the result of reflect n v is 2<n,v>n - v

reflect' :: Normal3 -> Normal3 -> Normal3

refract :: Double -> Normal3 -> Vec3 -> Vec3

refract' :: Double -> Normal3 -> Normal3 -> Normal3

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 Normal3

When total internal reflection would occur, we return Nothing.