Data.Vect.Floating.Util.Projective

Classic 4x4 projective matrices, encoding the affine transformations of R^3. Our convention is that they are intended for multiplication on the right, that is, they are of the form

     _____
 [  |     |  0  ]
 [  | 3x3 |  0  ]
 [  |_____|  0  ]
 [  p  q  r  1  ]

Please note that by default, OpenGL stores the matrices (in memory) by columns, while we store them by rows; but OpenGL also use the opposite convention (so the OpenGL projective matrices are intended for multiplication on the left). So in effect, they are the same when stored in the memory, say with poke :: Ptr Mat4 -> Mat4 -> IO ().

Warning: The naming conventions will probably change in the future.

Documentation

rotMatrixProj4' :: (Floating a, Projective a Vec3 Mat3 Ortho3 b Proj4) => a -> Normal3 a -> Proj4 a

rotMatrixProj4 :: Floating a => a -> Vec3 a -> Proj4 a

rotateProj4 :: Floating a => a -> Normal3 a -> Proj4 a -> Proj4 a

synonym for rotateAfterProj4

rotateAfterProj4 :: Floating a => a -> Normal3 a -> Proj4 a -> Proj4 a

Synonym for m -> m .*. rotMatrixProj4 angle axis.

rotateBeforeProj4 :: Floating a => a -> Normal3 a -> Proj4 a -> Proj4 a

Synonym for m -> rotMatrixProj4 angle axis .*. m.

scalingUniformProj4 :: Floating a => a -> Proj4 a

scaleBeforeProj4 :: Floating a => Vec3 a -> Proj4 a -> Proj4 a

Equivalent to m -> scaling v .*. m.

scaleAfterProj4 :: Floating a => Vec3 a -> Proj4 a -> Proj4 a

Equivalent to m -> m .*. scaling v.

translate4 :: Floating a => Vec3 a -> Proj4 a -> Proj4 a

Synonym for translateAfter4

translateAfter4 :: Floating a => Vec3 a -> Proj4 a -> Proj4 a

Equivalent to m -> m .*. translation v.

translateBefore4 :: (Floating a, Extend a Mat3 Mat4, RightModule (Vec3 a) (Mat3 a)) => Vec3 a -> Proj4 a -> Proj4 a

Equivalent to m -> translation v .*. m.