361 lines
10 KiB
Haskell
361 lines
10 KiB
Haskell
{-# LANGUAGE TupleSections #-}
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{-# LANGUAGE BangPatterns #-}
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module Picture
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( module Picture.Data
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, module Color
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, blank
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, polygon
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, polygonWire
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, polygonZ
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, polygonCol
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, poly3
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, poly3Col
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, bezierQuad
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, arc
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, arcSolid
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, thickArc
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, thickCircle
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, thickLine
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, lineThick
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, thickLineCol
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, circleSolid
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, circleSolidCol
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, circle
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, line
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, lineCol
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, text
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, centerText
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, stackText
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, pictures
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, concatMapPic
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, appendPic
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, tranRot
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, translate
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, translate3
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, rotate
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, scale
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, color
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, zeroZ
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, setDepth
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, addDepth
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, setLayer
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)
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where
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import Geometry
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import Picture.Data
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import Color
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blank :: Picture
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{-# INLINE blank #-}
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blank = []
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polygonWire :: [Point2] -> Picture
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{-# INLINE polygonWire #-}
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polygonWire ps = line (ps ++ [head ps])
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polygon :: [Point2] -> Picture
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{-# INLINE polygon #-}
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polygon = map f . polyToTris
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where
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f (V2 x y) = Verx (V3 x y 0) black [] BottomLayer polyNum
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polygonZ :: [Point2] -> Float -> Picture
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{-# INLINE polygonZ #-}
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polygonZ ps z = map (f . zeroZ) $ polyToTris ps
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where
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f pos = Verx pos black [z] BottomLayer polyzNum
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polygonCol :: [(Point2,RGBA)] -> Picture
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{-# INLINE polygonCol #-}
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polygonCol = polyToTris . map f
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where
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f (V2 x y,col) = Verx (V3 x y 0) col [] BottomLayer polyNum
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poly3 :: [Point3] -> Picture
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{-# INLINE poly3 #-}
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poly3 = poly3Col . map (, black)
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poly3Col :: [(Point3,RGBA)] -> Picture
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{-# INLINE poly3Col #-}
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poly3Col = map f . polyToTris
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where
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f (pos,col) = Verx pos col [] BottomLayer polyNum
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-- note that much of work computing the width of the bezier curve is done here
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bezierQuad :: Color -> Color -> Float -> Float -> Point2 -> Point2 -> Point2 -> Picture
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bezierQuad cola colc ra rc a b c
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| a == b && b == c = blank
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| a == b || b == c = bezierQuad cola colc ra rc a (0.5 *.* (a +.+ c)) c
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| otherwise = bzhelp
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[(aIn, cola, V2 (fa aIn) (fc aIn) , V2 1 0 )
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,(aIn, cola, V2 (fa aIn) (fc aIn) , V2 1 0 )
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,(cIn, colc, V2 (fa cIn) (fc cIn) , V2 0 1 )
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,( aX, cola, V2 1 0 , V2 (fa' aX) (fc' aX) )
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,( cX, colc, V2 0 1 , V2 (fa' cX) (fc' cX) )
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,( bX, colb, V2 0 0 , V2 (fa' bX) (fc' bX) )
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,( bX, colb, V2 0 0 , V2 (fa' bX) (fc' bX) )
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]
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where
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colb = mixColors 0.5 0.5 cola colc
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b2a | isLHS a b c = a -.- b
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| otherwise = b -.- a
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aRadVec = 0.5 * ra *.* normalizeV (vNormal b2a)
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aX = a -.- aRadVec
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aIn = a +.+ aRadVec
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b2c | isLHS a b c = b -.- c
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| otherwise = c -.- b
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cRadVec = 0.5 * rc *.* normalizeV (vNormal b2c)
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cX = c -.- cRadVec
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cIn = c +.+ cRadVec
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bRadVec = 0.25 * (ra + rc) *.* normalizeV (a +.+ b -.- 2 *.* c)
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bX = b +.+ bRadVec
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bIn = b -.- bRadVec
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fa = extrapolate aX cX bX
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fc = extrapolate cX aX bX
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fa' = extrapolate aIn cIn bIn
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fc' = extrapolate cIn aIn bIn
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bzhelp :: [(Point2, Point4, Point2, Point2)] -> Picture
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bzhelp = map f
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where
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f (V2 x y,col,V2 a b,V2 c d) = Verx (V3 x y 0) col [a,b,c,d] BottomLayer bezNum
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-- given a one and two zeros of a linear function over x and y,
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-- determine the function
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-- so if f(ox,oy) = 1 and f(ax,ay) = f(bx,by) = 0, determines f
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extrapolate :: Point2 -> Point2 -> Point2 -> Point2 -> Float
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extrapolate (V2 ox oy) (V2 ax ay) (V2 bx by) (V2 x y) =
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( x * ( ay - by )
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+ y * ( bx - ax )
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+ (ax * by - bx * ay)
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)
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/
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( ox * ( ay - by )
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+ ax * ( by - oy )
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+ bx * ( oy - ay )
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)
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color :: RGBA -> Picture -> Picture
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{-# INLINE color #-}
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color c = map $ overCol (const c)
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translateH :: Float -> Float -> Point3 -> Point3
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{-# INLINE translateH #-}
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translateH !a !b (V3 x y z) = V3 (x+a) (y+b) z
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translate :: Float -> Float -> Picture -> Picture
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{-# INLINE translate #-}
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translate x = map . overPos . translateH x
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translate3 :: Point3 -> Picture -> Picture
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{-# INLINE translate3 #-}
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translate3 = map . overPos . (+.+.+)
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tranRot :: V2 Float -> Float -> Picture -> Picture
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{-# INLINE tranRot #-}
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tranRot (V2 x y) r = map $ overPos (translateH x y . rotate3 r)
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setDepth :: Float -> Picture -> Picture
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{-# INLINE setDepth #-}
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--setDepth d = map $ second $ overPos (\(x,y,_) -> (x,y,d))
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setDepth d = map $ overPos (\(V3 x y _) -> V3 x y d)
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addDepth :: Float -> Picture -> Picture
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{-# INLINE addDepth #-}
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--addDepth d = map $ second $ overPos (\(x,y,z) -> (x,y,z+d))
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addDepth d = map $ overPos (\(V3 x y z) -> V3 x y (z+d))
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-- TODO change the Int here to a dedicated type
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setLayer :: Layer -> Picture -> Picture
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{-# INLINE setLayer #-}
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setLayer i = map f
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where
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f v = v {_vxLayer = i}
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scale3 :: Float -> Float -> Point3 -> Point3
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{-# INLINE scale3 #-}
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scale3 a b (V3 x y z) = V3 (x*a) (y*b) z
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scale :: Float -> Float -> Picture -> Picture
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{-# INLINE scale #-}
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scale x = map . overPos . scale3 x
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rotate :: Float -> Picture -> Picture
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{-# INLINE rotate #-}
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rotate = map . overPos . rotate3
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concatMapPic :: Foldable t => (a -> Picture) -> t a -> Picture
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{-# INLINE concatMapPic #-}
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concatMapPic = concatMap
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appendPic :: Picture -> Picture -> Picture
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{-# INLINE appendPic #-}
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appendPic = (++)
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pictures :: Foldable t => t Picture -> Picture
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{-# INLINABLE pictures #-}
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pictures = concat
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makeArc :: Float -> Point2 -> [Point2]
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{-# INLINE makeArc #-}
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makeArc rad (V2 a b) = map (`rotateV` V2 0 rad) angles
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where
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angles = [a,a+step.. b]
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step = pi * 0.2
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circleSolid :: Float -> Picture
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{-# INLINE circleSolid #-}
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circleSolid = circleSolidCol white white
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circleSolidCol :: Color -> Color -> Float -> Picture
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{-# INLINE circleSolidCol #-}
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circleSolidCol colC colE r = map f
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[(V3 (-r) r 0, colC)
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,(V3 (-r) (-r) 0, colE)
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,(V3 r (-r) 0, black)
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]
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where
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f (pos,col) = Verx pos col [] BottomLayer ellNum
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circle :: Float -> Picture
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{-# INLINE circle #-}
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circle rad = thickArc 0 (2*pi) rad 1
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centerText :: String -> Picture
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{-# INLINE centerText #-}
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centerText s = translate (50 * (negate . fromIntegral $ length s - 1)) 0 $ text s
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stackText :: [String] -> Picture
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{-# INLINE stackText #-}
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stackText = mconcat . zipWith (\y s -> translate 0 y $ centerText s) [0,100..]
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text :: String -> Picture
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{-# INLINE text #-}
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text = map f . stringToList
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where
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f (pos,col,V2 a b) = Verx pos col [a,b] BottomLayer textNum
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line :: [Point2] -> Picture
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{-# INLINE line #-}
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line = thickLine 1
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lineCol :: [(Point2,RGBA)] -> Picture
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{-# INLINE lineCol #-}
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lineCol = thickLineCol 1
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lineThick :: Float -> [Point2] -> Picture
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{-# INLINE lineThick #-}
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lineThick t = pictures . f
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where
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f (x:y:ys)
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| x == y = f (x:ys)
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| otherwise = polygon [x +.+ n x y, x -.- n x y, y -.- n x y, y +.+ n x y] : f (y:ys)
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f _ = []
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n a b = (t*0.5) *.* errorNormalizeV 42 (vNormal (a -.- b))
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thickLine :: Float -> [Point2] -> Picture
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{-# INLINE thickLine #-}
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thickLine t = pictures . f
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where
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f (x:y:ys)
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| x == y = f (x:ys)
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| otherwise = polygon [x +.+ n, x -.- n, y -.- n, y +.+ n] : f (y:ys)
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where
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n = (t*0.5) *.* errorNormalizeV 42 (vNormal (x -.- y))
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f _ = []
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thickLineCol :: Float -> [(Point2,RGBA)] -> Picture
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{-# INLINE thickLineCol #-}
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thickLineCol t = pictures . f
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where
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f ((x,c):(y,c'):ys)
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| x == y = f ((x,c):ys)
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| otherwise = polygonCol
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[(x +.+ n x y,c)
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,(x -.- n x y,c)
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,(y -.- n x y,c')
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,(y +.+ n x y,c')
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] : f ((y,c'):ys)
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f _ = []
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n a b = (t*0.5) *.* squashNormalizeV (vNormal (a -.- b))
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thickCircle :: Float -> Float -> Picture
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{-# INLINE thickCircle #-}
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thickCircle = thickArc 0 (2*pi)
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arcSolid
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:: Float -- ^ Start angle
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-> Float -- ^ End angle
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-> Float -- ^ Radius
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-> Picture
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{-# INLINE arcSolid #-}
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arcSolid startA endA rad = polygon $ V2 0 0 : makeArc rad (V2 startA endA)
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arc
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:: Float -- ^ Start angle
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-> Float -- ^ End angle
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-> Float -- ^ Radius
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-> Picture
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arc startA endA rad = thickArc startA endA rad 1
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{-# INLINE arc #-}
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thickArc :: Float -> Float -> Float -> Float -> Picture
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{-# INLINE thickArc #-}
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thickArc startA endA rad wdth
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| endA - startA > (pi/ 2) = pictures
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[ thickArc (startA + pi/2) endA rad wdth
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, thickArcHelp startA (startA + pi/2) r w
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]
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| otherwise = thickArcHelp startA endA r w
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where
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r = rad + 0.5 * wdth
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w = 1 - wdth / r
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thickArcHelp :: Float -> Float -> Float -> Float -> Picture
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{-# INLINE thickArcHelp #-}
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thickArcHelp startA endA rad wdth = map f
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[ (V3 0 0 0,black,V3 0 0 wdth)
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,(V3 xa ya 0,black,V3 1 0 wdth)
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,(V3 xb yb 0,black,V3 1 1 wdth)
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, (V3 0 0 0,black,V3 0 0 wdth)
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,(V3 xb yb 0,black,V3 1 1 wdth)
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,(V3 xc yc 0,black,V3 0 1 wdth)
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]
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where
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(V2 xa ya) = rotateV startA (V2 rad 0)
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(V2 xb yb) = rotateV (0.5 * (startA + endA)) (V2 (rad * sqrt 2) 0)
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--(V2 xb yb) = rotateV (0.5 * (startA + endA)) (V2 (rad * 2) 0)
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(V2 xc yc) = rotateV endA (V2 rad 0)
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f (pos,col,V3 a b c) = Verx pos col [a,b,c] BottomLayer arcNum
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-- Currently the lens version is much slower
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overPos :: (Point3 -> Point3) -> Verx -> Verx
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{-# INLINE overPos #-}
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--overPos = over vxPos
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overPos f vx = vx {_vxPos = f (_vxPos vx)}
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overCol :: (Point4 -> Point4) -> Verx -> Verx
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{-# INLINE overCol #-}
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overCol f vx = vx {_vxCol = f (_vxCol vx)}
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-- no premature optimisation, consider changing to use texture arrays
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stringToList :: String -> [(Point3,Point4,Point2)]
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{-# INLINE stringToList #-}
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stringToList = concatMap (uncurry charToTuple) . zip [0,0.9*dimText ..]
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where
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dimText = 100
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charToTuple :: Float -> Char -> [(Point3,Point4,Point2)]
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{-# INLINE charToTuple #-}
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charToTuple x c =
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[(V3 (x-50) (-100) 0, white,V2 offset 1)
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,(V3 (x-50) 100 0, white,V2 offset 0)
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,(V3 (x+50) 100 0, white,V2 (offset+1) 0)
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,(V3 (x-50) (-100) 0, white,V2 offset 1)
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,(V3 (x+50) (-100) 0, white,V2 (offset+1) 1)
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,(V3 (x+50) 100 0, white,V2 (offset+1) 0)
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]
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where
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offset = fromIntegral (fromEnum c) - 32
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