381 lines
9.9 KiB
Haskell
381 lines
9.9 KiB
Haskell
{-# LANGUAGE TupleSections #-}
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module Picture
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( module Picture.Data
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, polygon
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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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, 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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, pictures
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, translate
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, rotate
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, scale
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, color
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, withAlpha
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, greyN
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, red
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, green
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, blue
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, yellow
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, cyan
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, magenta
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, rose
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, violet
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, azure
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, aquamarine
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, chartreuse
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, orange
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, white
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, black
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, dim
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, light
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, dark
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, bright
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, mixColors
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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 Geometry.Vector3D
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import Geometry.Data
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import Picture.Data
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--import Data.List
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--import Data.Bifunctor
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--import qualified Data.DList as DL
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--import Graphics.Rendering.OpenGL (lineWidth, ($=))
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import Control.Lens
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black :: RGBA
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black = (0,0,0,1)
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--zl :: RenderType -> [(Int,RenderType)]
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--zl rt = [(0,rt)]
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polygon :: [Point2] -> Picture
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{-# INLINE polygon #-}
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polygon ps = map (f . zeroZ) $ polyToTris ps
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where
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f pos = Verx pos black PolyV 0
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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 (PolyzV z) 0
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polygonCol :: [(Point2,RGBA)] -> Picture
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{-# INLINE polygonCol #-}
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polygonCol vs = map f $ polyToTris vs
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where
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f ((x,y),col) = Verx (x,y,0) col PolyV 0
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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 vs = map f $ polyToTris vs
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where
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f (pos,col) = Verx pos col PolyV 0
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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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[-- ( (0,0) , cola, (0,0), (0,0) )
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(aIn, cola, (fa aIn,fc aIn) , (1,0) )
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,(aIn, cola, (fa aIn,fc aIn) , (1,0) )
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,(cIn, colc, (fa cIn,fc cIn) , (0,1) )
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,( aX, cola, (1,0) , (fa' aX,fc' aX) )
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,( cX, colc, (0,1) , (fa' cX,fc' cX) )
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,( bX, colb, (0,0) , (fa' bX,fc' bX) )
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,( bX, colb, (0,0) , (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, (Float, Float), (Float, Float))] -> Picture
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bzhelp = map f
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where
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f ((x,y),col,(a,b),(c,d)) = Verx (x,y,0) col (BezV (a,b,c,d)) 0
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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 (ox,oy) (ax,ay) (bx,by) (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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translate3 :: Float -> Float -> Point3 -> Point3
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{-# INLINE translate3 #-}
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translate3 a b (x,y,z) = (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 y = map $ second $ overPos (translate3 x y)
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translate x y = map $ overPos (translate3 x y)
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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 (\(x,y,_) -> (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 (\(x,y,z) -> (x,y,z+d))
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setLayer :: Int -> 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 (x,y,z) = (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 y = map . second . overPos $ scale3 x y
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scale x y = map $ overPos $ scale3 x y
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rotate :: Float -> Picture -> Picture
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--{-# INLINE rotate #-}
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rotate a = map $ overPos $ rotate3 a
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pictures :: [Picture] -> Picture
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{-# INLINE pictures #-}
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pictures = concat
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makeArc :: Float -> (Float,Float) -> [Point2]
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{-# INLINE makeArc #-}
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makeArc rad (a,b) = map (`rotateV` (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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[( (-r, r,0), colC)
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,( (-r,-r,0), colE)
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,( ( r,-r,0), black)
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]
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where
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f (pos,col) = Verx pos col EllV 0
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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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text :: String -> Picture
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{-# INLINE text #-}
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text s = map f $ stringToList s
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where
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f (pos,col,val) = Verx pos col (TextV val) 0
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line :: [Point2] -> Picture
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{-# INLINE line #-}
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--line = Line
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line = flip thickLine 1
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lineCol :: [(Point2,RGBA)] -> Picture
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{-# INLINE lineCol #-}
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--lineCol = LineCol
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lineCol = flip thickLineCol 1
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thickLine :: [Point2] -> Float -> Picture
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{-# INLINE thickLine #-}
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thickLine ps t = pictures $ f ps
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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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thickLineCol :: [(Point2,RGBA)] -> Float -> Picture
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{-# INLINE thickLineCol #-}
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thickLineCol ps t = pictures $ f ps
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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) *.* errorNormalizeV 42 (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 $ (0,0) : makeArc rad (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 = pictures
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[ thickArc (startA + pi) endA rad wdth
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, thickArcHelp startA (startA + pi) 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 -> [Verx]
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thickArcHelp startA endA rad wdth = map f
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[( (0,0,0),black,(0,0,wdth))
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,((xa,ya,0),black,(1,0,wdth))
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,((xb,yb,0),black,(1,1,wdth))
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,( (0,0,0),black,(0,0,wdth))
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,((xb,yb,0),black,(1,1,wdth))
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,((xc,yc,0),black,(0,1,wdth))
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]
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where
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(xa,ya) = rotateV startA (rad,0)
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(xb,yb) = rotateV (0.5 * (startA + endA)) (rad * sqrt 2,0)
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(xc,yc) = rotateV endA (rad,0)
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f (pos,col,val) = Verx pos col (ArcV val) 0
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withAlpha :: Float -> RGBA -> RGBA
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{-# INLINE withAlpha #-}
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withAlpha a (x,y,z,a') = (x,y,z,a*a')
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red,green,blue,yellow,cyan,magenta,rose,violet,azure,aquamarine,chartreuse,orange,white::Color
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red = (1,0,0,1)
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green = (0,1,0,1)
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blue = (0,0,1,1)
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yellow = (1,1,0,1)
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cyan = (0,1,1,1)
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magenta = (1,0,1,1)
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rose = (1,0,0.5,1)
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violet = (0.5,0,1,1)
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azure = (0,0.5,1,1)
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aquamarine= (0,1,0.5,1)
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chartreuse= (0.5,1,0,1)
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orange = (1,0.5,0,1)
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white = (1,1,1,1)
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mixColors :: Float -> Float -> Color -> Color -> Color
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mixColors rata ratb (r0,g0,b0,a0) (r2,g2,b2,a2) =
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let fullrat = rata + ratb
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normrata = rata / fullrat
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normratb = ratb / fullrat
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f x y = sqrt $ normrata * x^(2::Int) + normratb * y^(2::Int)
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in (f r0 r2 , f g0 g2 , f b0 b2 , normrata * a0 + normratb * a2)
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light :: Color -> Color
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light (r,g,b,a) = (r+0.2,g+0.2,b+0.2,a)
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dark :: Color -> Color
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dark (r,g,b,a) = (r-0.2,g-0.2,b-0.2,a)
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dim :: Color -> Color
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dim (r,g,b,a) = (r/1.2,g/1.2,b/1.2,a)
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bright :: Color -> Color
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bright (r,g,b,a) = (r*1.2,g*1.2,b*1.2,a)
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greyN :: Float -> Color
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greyN x = (x,x,x,1)
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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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overCol :: (Point4 -> Point4) -> Verx -> Verx
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overCol = over vxCol
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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 s = concat $ zipWith charToTuple [0,0.9*dimText ..] s
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stringToList s = concatMap (uncurry charToTuple) $ zip [0,0.9*dimText ..] s
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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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[((x-50,-100,0), white,(offset,1))
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,((x-50,100,0), white,(offset,0))
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,((x+50,100,0), white,(offset+1,0))
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,((x-50,-100,0), white,(offset,1))
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,((x+50,-100,0), white,(offset+1,1))
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,((x+50,100,0), white,(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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