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{-# LANGUAGE MultiParamTypeClasses, FlexibleContexts #-}
module Graphics.Glyph.Mat4 where
import Control.Monad
import Foreign.Marshal.Alloc
import Foreign.Marshal.Array
import Foreign.Ptr
import Foreign.Storable
import Graphics.Rendering.OpenGL
import Graphics.GL.Compatibility30
-- import Graphics.Rendering.OpenGL.Raw.Core31
data Mat4 a = Matrix (a,a,a,a,
a,a,a,a,
a,a,a,a,
a,a,a,a) | IdentityMatrix
data Mat3 a = Matrix3 ( a,a,a,
a,a,a,
a,a,a ) | IdentityMatrix3
class StorableMatrix t a where
fromList :: [t] -> a t
toPtr :: a t -> (Ptr t -> IO b) -> IO b
fromPtr :: Ptr t -> (a t -> IO b) -> IO b
instance (Storable t) => StorableMatrix t Mat4 where
fromList (m1:m2:m3:m4:m5:m6:m7:m8:m9:m10:m11:m12:m13:m14:m15:m16:_) =
Matrix (m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15,m16)
toPtr (Matrix (m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15,m16)) fun =
allocaArray 16 $ \ptr -> do
pokeArray ptr [m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15,m16]
fun ptr
fromPtr ptr f = peekArray 16 ptr >>= f . fromList
instance (Storable t) => StorableMatrix t Mat3 where
fromList (m1:m2:m3:m4:m5:m6:m7:m8:m9:_) =
Matrix3 (m1,m2,m3,m4,m5,m6,m7,m8,m9)
toPtr (Matrix3 (m1,m2,m3,m4,m5,m6,m7,m8,m9)) fun =
allocaArray 9 $ \ptr -> do
pokeArray ptr [m1,m2,m3,m4,m5,m6,m7,m8,m9]
fun ptr
fromPtr ptr f = peekArray 9 ptr >>= f . fromList
instance Uniform (Mat4 GLfloat) where
uniform (UniformLocation loc) = makeStateVar getter setter
where setter mat = toPtr mat $ \ptr ->
glUniformMatrix4fv loc 1 (fromIntegral GL_FALSE) ptr
getter :: IO (Mat4 GLfloat)
getter = do
pid <- liftM fromIntegral getCurrentProgram
( allocaArray 16 $ \buf -> do
glGetUniformfv pid loc buf
fromPtr buf return )
instance Uniform (Mat3 GLfloat) where
uniform (UniformLocation loc) = makeStateVar getter setter
where setter mat = toPtr mat $ \ptr ->
glUniformMatrix3fv loc 1 (fromIntegral GL_FALSE) ptr
getter :: IO (Mat3 GLfloat)
getter = do
pid <- liftM fromIntegral getCurrentProgram
( allocaArray 9 $ \buf -> do
glGetUniformfv pid loc buf
fromPtr buf return )
getCurrentProgram :: IO GLint
getCurrentProgram = alloca $ \ptr -> glGetIntegerv GL_CURRENT_PROGRAM ptr >> peek ptr
instance (Show a) => Show (Mat4 a) where
show IdentityMatrix =
"[ 1 0 0 0\n" ++
" 0 1 0 0\n" ++
" 0 0 1 0\n" ++
" 0 0 0 1 ]\n"
show (Matrix (m00,m01,m02,m03,m10,m11,m12,m13,m20,m21,m22,m23,m30,m31,m32,m33)) =
"["++! m00 ++ " " ++! m01 ++ " " ++! m02 ++ " " ++! m03 ++ "\n" ++
" "++! m10 ++ " " ++! m11 ++ " " ++! m12 ++ " " ++! m13 ++ "\n" ++
" "++! m20 ++ " " ++! m21 ++ " " ++! m22 ++ " " ++! m23 ++ "\n" ++
" "++! m30 ++ " " ++! m31 ++ " " ++! m32 ++ " " ++! m33 ++ "]"
where (++!) a = (a++) . show
translateMat4 :: (Num a) => Mat4 a -> (a,a,a,a) -> Mat4 a
translateMat4 IdentityMatrix x = translateMat4 (Matrix (1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1)) x
translateMat4 (Matrix (m00,m01,m02,m03,
m10,m11,m12,m13,
m20,m21,m22,m23,
m30,m31,m32,m33)) (v0,v1,v2,v3) =
Matrix (m00,m01,m02,m03+v0,
m10,m11,m12,m13+v1,
m20,m21,m22,m23+v2,
m30,m31,m32,m33+v3)
applyMatrix :: (Num a) => Mat4 a -> (a,a,a,a) -> (a,a,a,a)
applyMatrix (Matrix (m00,m01,m02,m03,
m10,m11,m12,m13,
m20,m21,m22,m23,
m30,m31,m32,m33)) (v0,v1,v2,v3) =
( v0 * m00 + v1 * m01 + v2 * m02 + v3 * m03,
v0 * m10 + v1 * m11 + v2 * m12 + v3 * m13,
v0 * m20 + v1 * m21 + v2 * m22 + v3 * m23,
v0 * m30 + v1 * m31 + v2 * m32 + v3 * m33 )
applyMatrix IdentityMatrix v = v
scaleMatrix :: (Num a) => Mat4 a -> (a,a,a) -> Mat4 a
scaleMatrix IdentityMatrix (a,b,c) = Matrix ( a,0,0,0,
0,b,0,0,
0,0,c,0,
0,0,0,1)
scaleMatrix (Matrix (m00,m01,m02,m03,m10,m11,m12,m13,m20,m21,m22,m23,m30,m31,m32,m33)) (a,b,c)
= Matrix ( m00*a,m01,m02,m03,
m10,m11*b,m12,m13,
m20,m21,m22*c,m23,
m30,m31,m32,m33)
applyMatrixToList :: (Num a) => Mat4 a -> [a] -> [a]
applyMatrixToList IdentityMatrix t = t
applyMatrixToList mat (a:b:c:xs) =
let (a',b',c',_) = applyMatrix mat (a,b,c,1) in
(a':b':c':applyMatrixToList mat xs)
applyMatrixToList _ _ = []
mulMatrix4 :: (Num a) => Mat4 a -> Mat4 a -> Mat4 a
mulMatrix4 IdentityMatrix a = a
mulMatrix4 a IdentityMatrix = a
mulMatrix4
(Matrix (a00,a01,a02,a03,
a10,a11,a12,a13,
a20,a21,a22,a23,
a30,a31,a32,a33 ))
(Matrix (b00,b01,b02,b03,
b10,b11,b12,b13,
b20,b21,b22,b23,
b30,b31,b32,b33 )) =
Matrix (b00*a00+b10*a01+b20*a02+b30*a03,
b01*a00+b11*a01+b21*a02+b31*a03,
b02*a00+b12*a01+b22*a02+b32*a03,
b03*a00+b13*a01+b23*a02+b33*a03,
b00*a10+b10*a11+b20*a12+b30*a13,
b01*a10+b11*a11+b21*a12+b31*a13,
b02*a10+b12*a11+b22*a12+b32*a13,
b03*a10+b13*a11+b23*a12+b33*a13,
b00*a20+b10*a21+b20*a22+b30*a23,
b01*a20+b11*a21+b21*a22+b31*a23,
b02*a20+b12*a21+b22*a22+b32*a23,
b03*a20+b13*a21+b23*a22+b33*a23,
b00*a30+b10*a31+b20*a32+b30*a33,
b01*a30+b11*a31+b21*a32+b31*a33,
b02*a30+b12*a31+b22*a32+b32*a33,
b03*a30+b13*a31+b23*a32+b33*a33 )
(|*|) :: (Num a) => Mat4 a -> Mat4 a -> Mat4 a
(|*|) = mulMatrix4
transpose4 :: Mat4 a -> Mat4 a
transpose4 (Matrix
(m00,m01,m02,m03,
m10,m11,m12,m13,
m20,m21,m22,m23,
m30,m31,m32,m33 )) = (Matrix (m00, m10, m20, m30,
m01, m11, m21, m31,
m02, m12, m22, m32,
m03, m13, m23, m33))
scale4 :: (Num a) => a -> Mat4 a -> Mat4 a
scale4 n (Matrix (m11,m12,m13,m14,m21,m22,m23,m24,m31,m32,m33,m34,m41,m42,m43,m44)) =
Matrix (m11*n,m12*n,m13*n,m14*n,m21*n,m22*n,m23*n,m24*n,m31*n,m32*n,m33*n,m34*n,m41*n,m42*n,m43*n,m44*n)
det4 :: (Num a) => Mat4 a -> a
det4 (Matrix (m11,m12,m13,m14,m21,m22,m23,m24,m31,m32,m33,m34,m41,m42,m43,m44)) =
m11*m22*m33*m44 + m11*m23*m34*m42 + m11*m24*m32*m43
+ m12*m21*m34*m43 + m12*m23*m31*m44 + m12*m24*m33*m41
+ m13*m21*m32*m44 + m13*m22*m34*m41 + m13*m24*m31*m42
+ m14*m21*m33*m42 + m14*m22*m31*m43 + m14*m23*m32*m41
- m11*m22*m34*m43 - m11*m23*m32*m44 - m11*m24*m33*m42
- m12*m21*m33*m44 - m12*m23*m34*m41 - m12*m24*m31*m43
- m13*m21*m34*m42 - m13*m22*m31*m44 - m13*m24*m32*m41
- m14*m21*m32*m43 - m14*m22*m33*m41 - m14*m23*m31*m42
inv4 :: (Floating a,Eq a) => Mat4 a -> Maybe (Mat4 a)
inv4 mat@(Matrix (m11,m12,m13,m14,m21,m22,m23,m24,m31,m32,m33,m34,m41,m42,m43,m44)) =
let b11 = m22*m33*m44 + m23*m34*m42 + m24*m32*m43 - m22*m34*m43 - m23*m32*m44 - m24*m33*m42
b12 = m12*m34*m43 + m13*m32*m44 + m14*m33*m42 - m12*m33*m44 - m13*m34*m42 - m14*m32*m43
b13 = m12*m23*m44 + m13*m24*m42 + m14*m22*m43 - m12*m24*m43 - m13*m22*m44 - m14*m23*m42
b14 = m12*m24*m33 + m13*m22*m34 + m14*m23*m32 - m12*m23*m34 - m13*m24*m32 - m14*m22*m33
b21 = m21*m34*m43 + m23*m31*m44 + m24*m33*m41 - m21*m33*m44 - m23*m34*m41 - m24*m31*m43
b22 = m11*m33*m44 + m13*m34*m41 + m14*m31*m43 - m11*m34*m43 - m13*m31*m44 - m14*m33*m41
b23 = m11*m24*m43 + m13*m21*m44 + m14*m23*m41 - m11*m23*m44 - m13*m24*m41 - m14*m21*m43
b24 = m11*m23*m34 + m13*m24*m31 + m14*m21*m33 - m11*m24*m33 - m13*m21*m34 - m14*m23*m31
b31 = m21*m32*m44 + m22*m34*m41 + m24*m31*m42 - m21*m34*m42 - m22*m31*m44 - m24*m32*m41
b32 = m11*m34*m42 + m12*m31*m44 + m14*m32*m41 - m11*m32*m44 - m12*m34*m41 - m14*m31*m42
b33 = m11*m22*m44 + m12*m24*m41 + m14*m21*m42 - m11*m24*m42 - m12*m21*m44 - m14*m22*m41
b34 = m11*m24*m32 + m12*m21*m34 + m14*m22*m31 - m11*m22*m34 - m12*m24*m31 - m14*m21*m32
b41 = m21*m33*m42 + m22*m31*m43 + m23*m32*m41 - m21*m32*m43 - m22*m33*m41 - m23*m31*m42
b42 = m11*m32*m43 + m12*m33*m41 + m13*m31*m42 - m11*m33*m42 - m12*m31*m43 - m13*m32*m41
b43 = m11*m23*m42 + m12*m21*m43 + m13*m22*m41 - m11*m22*m43 - m12*m23*m41 - m13*m21*m42
b44 = m11*m22*m33 + m12*m23*m31 + m13*m21*m32 - m11*m23*m32 - m12*m21*m33 - m13*m22*m31 in
case det4 mat of
0 -> Nothing
det -> Just $ (1 / det) `scale4` Matrix (b11,b12,b13,b14,b21,b22,b23,b24,b31,b32,b33,b34,b41,b42,b43,b44)
trunc4 :: Mat4 a -> Mat3 a
trunc4 (Matrix
(m11,m12,m13,_,
m21,m22,m23,_,
m31,m32,m33,_,
_ , _ , _ ,_)) = Matrix3 (m11,m12,m13,m21,m22,m23,m31,m32,m33)
toNormalMatrix :: (Floating a,Eq a) => Mat4 a -> Maybe (Mat3 a)
toNormalMatrix mat = inv4 mat >>= return . trunc4 . transpose4
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