Data.Vect.Floating.Util.Dim3

Documentation

structVec3 :: [a] -> [Vec3 a]

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

destructVec3 :: [Vec3 a] -> [a]

The opposite of "structVec3".

det3 :: Floating a => Vec3 a -> Vec3 a -> Vec3 a -> a

translate3X :: Num a => a -> Vec3 a -> Vec3 a

translate3Y :: Num a => a -> Vec3 a -> Vec3 a

translate3Z :: Num a => a -> Vec3 a -> Vec3 a

vec3X :: Num a => Vec3 a

vec3Y :: Num a => Vec3 a

vec3Z :: Num a => Vec3 a

rotMatrixZ :: Floating a => a -> Mat3 a

rotMatrixY :: Floating a => a -> Mat3 a

rotMatrixX :: Floating a => a -> Mat3 a

rotate3'

Arguments

:: Floating a

=> a

angle (in radians)

-> Normal3 a

axis (should be a unit vector!)

-> Vec3 a

vector

-> Vec3 a

result

rotate3

Arguments

:: Floating a

=> a

angle (in radians)

-> Vec3 a

axis (arbitrary nonzero vector)

-> Vec3 a

vector

-> Vec3 a

result

rotMatrix3 :: Floating a => Vec3 a -> a -> Mat3 a

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

rotMatrixOrtho3 :: Floating a => Vec3 a -> a -> Ortho3 a

rotMatrix3' :: Floating a => Normal3 a -> a -> Mat3 a

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

rotMatrixOrtho3' :: Floating a => Normal3 a -> a -> Ortho3 a

reflect :: Floating a => Normal3 a -> Vec3 a -> Vec3 a

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

reflect' :: Floating a => Normal3 a -> Normal3 a -> Normal3 a

refract :: (Floating a, Ord a) => a -> Normal3 a -> Vec3 a -> Vec3 a

refract' :: (Floating a, Ord a) => a -> Normal3 a -> Normal3 a -> Normal3 a

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' :: (Floating a, Ord a) => a -> Normal3 a -> Normal3 a -> Maybe (Normal3 a)

When total internal reflection would occur, we return Nothing.