{-# LANGUAGE TemplateHaskell, ScopedTypeVariables #-} module Set8Test where import Data.List hiding (union) import Test.QuickCheck import Mooc.Th import Mooc.Test import Set8 hiding (main) main = score [(1,"dotAndLine",[ex1_line, ex1_dot, ex1_black, ex1_line_far]) ,(2,"blend",[ex2_blendColor, ex2_render, ex2_solid, ex2_const]) ,(3,"rectangle",[ex3]) ,(4,"union",[ex4_union, ex4_cut]) ,(5,"paintSolid",[ex5_render, ex5_dot]) ,(6,"paint",[ex6_render, ex6_dot]) ,(7,"Transform",[ex7_fill, ex7_zoom_xy, ex7_zoom_dot, ex7_flipx, ex7_flipy, ex7_flipxy]) ,(8,"Chain",[ex8_inverse, ex8_order, ex8_zoom]) ,(9,"Blur",[ex9_blur_dot, ex9_blur_solid]) ,(10,"BlurMany",[ex10_blur_once, ex10_blur_many])] -- checkPicture x y exp (Picture f) = counterexample (" color of point (" ++ show x ++ "," ++ show y ++ ")") $ (f (Coord x y)) ?== exp checkShape x y exp (Shape f) = counterexample (" contains point (" ++ show x ++ "," ++ show y ++ ")") $ f (Coord x y) ?== exp instance Arbitrary Color where arbitrary = Color <$> comp <*> comp <*> comp where comp = choose (0,255) ex1_line = $(testing' [|renderList dotAndLine (2,4) (8,8)|]) (?==[["ff69b4","ff69b4","ff69b4"]]) ex1_dot = $(testing' [|renderList dotAndLine (2,4) (4,4)|]) (?==[["000000","ffffff","000000"]]) ex1_black = forAll_ $ \(x,y) -> (x,y) /= (3,4) ==> y /= 8 ==> $(testing' [|getPixel dotAndLine x y|]) $ \val -> counterexample (" with x = "++show x++" and y = "++show y) $ val ?== "000000" ex1_line_far = forAll_ $ \x -> $(testing' [|getPixel dotAndLine x 8|]) $ \val -> counterexample (" with x = "++show x) $ val ?== "ff69b4" ex2_blendColor = forAll_ $ \(Color r g b) -> forAllBlind (choose (0,min r (255-r))) $ \r' -> forAllBlind (choose (0,min g (255-g))) $ \g' -> forAllBlind (choose (0,min b (255-r))) $ \b' -> $(testing [|blendColor (Color (r-r') (g-g') (b-b')) (Color (r+r') (g+g') (b+b'))|]) (?== Color r g b) ex2_render = conjoin [$(testing' [|renderList (combine blendColor (solid red) justADot) (9,11) (10,10)|]) (?==[["7f0000","ff7f7f","7f0000"]]) ,$(testing' [|renderList (combine blendColor justADot (solid white)) (9,11) (10,10)|]) (?==[["7f7f7f","ffffff","7f7f7f"]])] ex2_solid = forAll_ $ \c1 -> forAll_ $ \c2 -> forAll_ $ \(x,y) -> counterexample ("combine blendColor (solid ("++show c1++")) (solid ("++show c2++"))") $ checkPicture x y (blendColor c1 c2) (combine blendColor (solid c1) (solid c2)) ex2_const = forAll_ $ \c1 -> forAll_ $ \c2 -> forAll_ $ \(x,y) -> counterexample ("combine (\\c1 c2 -> c1) (solid ("++show c1++")) (solid ("++show c2++"))") $ checkPicture x y c1 (combine (\c1 c2 -> c1) (solid c1) (solid c2)) ex3 = forAll_ $ \(Positive x0,Positive y0) -> forAllBlind (choose (1,10)) $ \w -> forAllBlind (choose (1,10)) $ \h -> $(testing [|rectangle x0 y0 w h|]) $ \rect -> conjoin [checkShape x y True rect | x <- [x0..x0+w-1], y <- [y0..y0+h-1]] .&&. conjoin [checkShape (x0-1) y False rect | y <- [y0-1..y0+h]] -- left .&&. conjoin [checkShape (x0+w) y False rect | y <- [y0-1..y0+h]] -- right .&&. conjoin [checkShape x (y0-1) False rect | x <- [x0-1..x0+w]] -- top .&&. conjoin [checkShape x (y0+h) False rect | x <- [x0-1..x0+w]] -- bottom .&&. conjoin [checkShape (x0-h) (y0-w) False rect ,checkShape x0 (y0+h+w) False rect ,checkShape (x0+max h w) (y0+1) False rect] ex4_union = forAll_ $ \(Positive x0,Positive y0,Positive x1,Positive y1) -> counterexample ("union (dot "++show x0++" "++show y0++") (dot "++show x1++" "++show y1++")") $ let un = union (dot x0 y0) (dot x1 y1) in conjoin [checkShape x0 y0 True un ,checkShape x1 y1 True un ,x0 /= x1 && y0 /= y1 ==> checkShape x1 y0 False un ,x0 /= x1 && y0 /= y1 ==> checkShape x0 y1 False un ,forAll_ $ \(x,y) -> not (elem x [x0,x1]) && not (elem y [y0,y1]) ==> checkShape x y False un] ex4_cut = forAll_ $ \(Positive x0,Positive y0) -> forAllBlind (choose (2,10)) $ \w -> forAllBlind (choose (2,10)) $ \h -> forAllBlind (choose (x0,x0+w-1)) $ \x -> forAllBlind (choose (y0,y0+h-1)) $ \y -> counterexample ("cut (rectangle "++show x0++" "++show y0++" "++show w++" "++show h++") (dot "++show x++" "++show y++")") $ let c = cut (rectangle x0 y0 w h) (dot x y) in conjoin [checkShape x y False c ,forAllBlind (choose (x0,x0+w-1) `suchThat` (/=x)) $ \x' -> forAllBlind (choose (y0,y0+h-1) `suchThat` (/=y)) $ \y' -> checkShape x' y' True c] ex5_render = $(testing' [|renderList (paintSolid white (dot 5 5) (solid black)) (4,6) (5,5)|]) (?==[["000000","ffffff","000000"]]) ex5_dot = forAll_ $ \(x,y) -> forAll_ $ \bg -> forAll_ $ \fg -> let pict = paintSolid fg (dot x y) (solid bg) in counterexample ("paintSolid ("++show fg++") (dot "++show x++" "++show y++") (solid (" ++ show bg ++"))") $ conjoin [checkPicture x y fg pict ,forAll_ $ \(x1,y1) -> x1/=x || y1/=y ==> checkPicture x1 y1 bg pict] ex6_render = conjoin [$(testing' [|renderList (paint (stripes red white) (rectangle 0 0 2 4) (solid black)) (0,4) (1,1)|]) (?==[["ffffff","ffffff","000000","000000","000000"]]) ,$(testing' [|renderList (paint (stripes red white) (rectangle 0 0 2 4) (solid black)) (0,4) (0,0)|]) (?==[["ff0000","ff0000","000000","000000","000000"]])] ex6_dot = forAll_ $ \(x,y) -> forAll_ $ \bg -> forAll_ $ \fg -> let pict = paint (solid fg) (dot x y) (solid bg) in counterexample ("paint (solid ("++show fg++")) (dot "++show x++" "++show y++") (solid (" ++ show bg ++"))") $ conjoin [checkPicture x y fg pict ,forAll_ $ \(x1,y1) -> x1/=x || y1/=y ==> checkPicture x1 y1 bg pict] ex7_fill = $(testing' [|apply (Fill red) xy|]) $ \pic -> forAll_ $ \(x,y) -> checkPicture x y red pic ex7_zoom_xy = $(testing' [|apply (Zoom 3) xy|]) $ \pic -> forAllBlind (choose (0,32)) $ \x -> forAllBlind (choose (0,32)) $ \y -> forAllBlind (choose (0,2)) $ \dx -> forAllBlind (choose (0,2)) $ \dy -> checkPicture (3*x+dx) (3*y+dy) (Color x y 0) pic ex7_zoom_dot = forAll_ $ \(x,y) -> forAllBlind (choose (1,10)) $ \z -> $(testing' [|apply (Zoom z) (fill white (dot x y))|]) $ \pic -> counterexample ("with z=" ++ show z ++ ", x=" ++ show x ++ ", y=" ++ show y) $ conjoin [checkPicture x' y' white pic | x' <- [x*z..(x+1)*z-1], y' <- [y*z..(y+1)*z-1]] -- inside .&&. conjoin [checkPicture (x*z-1) y' black pic | y' <- [y*z..(y+1)*z-1]] -- left .&&. conjoin [checkPicture ((x+1)*z) y' black pic | y' <- [y*z..(y+1)*z-1]] -- right .&&. conjoin [checkPicture x' (y*z-1) black pic | x' <- [x*z..(x+1)*z-1]] -- top .&&. conjoin [checkPicture x' ((y+1)*z) black pic | x' <- [x*z..(x+1)*z-1]] -- bottom ex7_flipx = $(testing' [|apply FlipX xy|]) $ \pic -> forAllBlind (choose (0,255)) $ \x -> forAllBlind (choose (0,255)) $ \y -> checkPicture x y (Color (if x==0 then x else (256-x)) y 0) pic ex7_flipy = $(testing' [|apply FlipY xy|]) $ \pic -> forAllBlind (choose (0,255)) $ \x -> forAllBlind (choose (0,255)) $ \y -> checkPicture x y (Color x (if y==0 then y else (256-y)) 0) pic ex7_flipxy = $(testing' [|apply FlipXY xy|]) $ \pic -> forAllBlind (choose (0,255)) $ \x -> forAllBlind (choose (0,255)) $ \y -> checkPicture x y (Color y x 0) pic ex8_inverse = $(testing' [|apply (Chain FlipX FlipX) xy|]) $ \pic -> forAllBlind (choose (0,255)) $ \x -> forAllBlind (choose (0,255)) $ \y -> checkPicture x y (Color x y 0) pic ex8_order = $(testing' [|apply (Chain (Fill white) (Fill red)) xy|]) $ \pic -> forAll_ $ \(x,y) -> checkPicture x y white pic ex8_zoom = forAllBlind (choose (1,4)) $ \z1 -> forAllBlind (choose (1,4)) $ \z2 -> $(testing [|apply (Chain (Zoom z1) (Zoom z2))|]) $ \app -> counterexample "applied to xy" $ let pic = app xy z = z1*z2 in forAllBlind (choose (0,32)) $ \x -> forAllBlind (choose (0,32)) $ \y -> forAllBlind (choose (0,z-1)) $ \dx -> forAllBlind (choose (0,z-1)) $ \dy -> checkPicture (z*x+dx) (z*y+dy) (Color x y 0) pic ex9_blur_dot = forAll_ $ \(x,y) -> forAllBlind (choose (0,50)) $ \c -> let blurred = Color c c c c1 = c*5 color = Color c1 c1 c1 in $(testing' [|apply Blur (fill color (dot x y))|]) $ \pic -> counterexample ("with color = " ++ show color ++ ", x = " ++ show x ++ ", y = " ++ show y) $ conjoin [checkPicture x y blurred pic ,checkPicture (x+1) y blurred pic ,checkPicture (x-1) y blurred pic ,checkPicture x (y+1) blurred pic ,checkPicture x (y-1) blurred pic ,checkPicture (x-1) (y-1) black pic ,checkPicture (x+1) (y+1) black pic ,checkPicture (x-1) (y+1) black pic ,checkPicture (x+1) (y-1) black pic] ex9_blur_solid = forAll_ $ \color -> forAll_ $ \(x,y) -> $(testing' [|apply Blur (solid color)|]) $ \pic -> counterexample ("with color = "++show color) $ checkPicture x y color pic ex10_blur_once = forAll_ $ \(x,y) -> forAllBlind (choose (0,50)) $ \c -> let blurred = Color c c c c1 = c*5 color = Color c1 c1 c1 in $(testing' [|apply (BlurMany 1) (fill color (dot x y))|]) $ \pic -> counterexample ("with color = " ++ show color ++ ", x = " ++ show x ++ ", y = " ++ show y) $ conjoin [checkPicture x y blurred pic ,checkPicture (x+1) y blurred pic ,checkPicture (x-1) y blurred pic ,checkPicture x (y+1) blurred pic ,checkPicture x (y-1) blurred pic ,checkPicture (x-1) (y-1) black pic ,checkPicture (x+1) (y+1) black pic ,checkPicture (x-1) (y+1) black pic ,checkPicture (x+1) (y-1) black pic] m_blur_many n = forAll_ $ \(x,y) -> forAll_ $ \color -> let b = BlurMany n b' = BlurMany (n-1) f = apply b g = apply Blur . apply b' img = fill color (dot x y) in counterexample ("Checking that\n apply ("++show b++")\ngives the same result as\n apply Blur . apply ("++show b'++")\non the image") $ counterexample (" fill ("++show color++") (dot "++show x++" "++show y++")") $ forAllBlind (choose (x-n,x+n)) $ \x' -> forAllBlind (choose (y-n,y+n)) $ \y' -> let (Picture color) = g img expected = color (Coord x' y') in checkPicture x' y' expected (f img) ex10_blur_many = withMaxSuccess 5 $ conjoin [m_blur_many n | n <- [2..5]]