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 -> Double Source

translate3X :: Double -> Vec3 -> Vec3 Source

translate3Y :: Double -> Vec3 -> Vec3 Source

translate3Z :: Double -> Vec3 -> Vec3 Source

vec3X :: Vec3 Source

vec3Y :: Vec3 Source

vec3Z :: Vec3 Source

rotMatrixZ :: Double -> Mat3 Source

rotMatrixY :: Double -> Mat3 Source

rotMatrixX :: Double -> Mat3 Source

rotate3'Source

Arguments

:: Double	angle (in radians)
-> Normal3	axis (should be a unit vector!)
-> Vec3	vector
-> Vec3	result

rotate3 Source

Arguments

:: Double	angle (in radians)
-> Vec3	axis (arbitrary nonzero vector)
-> Vec3	vector
-> Vec3	result

rotMatrix3 :: Vec3 -> Double -> Mat3 Source

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

rotMatrixOrtho3 :: Vec3 -> Double -> Ortho3 Source

rotMatrix3' :: Normal3 -> Double -> Mat3 Source

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

rotMatrixOrtho3' :: Normal3 -> Double -> Ortho3 Source

reflect :: Normal3 -> Vec3 -> Vec3 Source

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

reflect' :: Normal3 -> Normal3 -> Normal3 Source

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

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

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 Source

When total internal reflection would occur, we return Nothing.