Linting
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+41
-37
@@ -9,9 +9,9 @@ intersectLineLine' :: Point2 -> Point2 -> Point2 -> Point2 -> Maybe Point2
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intersectLineLine' (x1,y1) (x2,y2) (x3,y3) (x4,y4)
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| den == 0 = Nothing
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| otherwise = Just (x1 + (x2-x1)*t'/den, y1 + (y2-y1)*t'/den)
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where
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den = (x1-x2)*(y3-y4) - (y1-y2)*(x3-x4)
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t' = (x1-x3)*(y3-y4) - (y1-y3)*(x3-x4)
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where
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den = (x1-x2)*(y3-y4) - (y1-y2)*(x3-x4)
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t' = (x1-x3)*(y3-y4) - (y1-y3)*(x3-x4)
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-- | If two segments intersect, return 'Just' that point.
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intersectSegSeg' :: Point2 -> Point2 -> Point2 -> Point2 -> Maybe Point2
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@@ -23,10 +23,10 @@ intersectSegSeg' (x1,y1) (x2,y2) (x3,y3) (x4,y4)
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| den < 0 && (t' > 0 || u' > 0 || t' < den || u' < den)
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= Nothing
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| otherwise = Just (x1 + (x2-x1)*t'/den, y1 + (y2-y1)*t'/den)
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where
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den = (x1-x2)*(y3-y4) - (y1-y2)*(x3-x4)
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t' = (x1-x3)*(y3-y4) - (y1-y3)*(x3-x4)
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u' = (y1-y2)*(x1-x3) - (x1-x2)*(y1-y3)
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where
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den = (x1-x2)*(y3-y4) - (y1-y2)*(x3-x4)
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t' = (x1-x3)*(y3-y4) - (y1-y3)*(x3-x4)
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u' = (y1-y2)*(x1-x3) - (x1-x2)*(y1-y3)
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-- | Intended to intersect a segment with a half-line-segment, ie a segment
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-- extending infinitely in one direction.
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@@ -39,10 +39,10 @@ intersectSegLineFrom' (x1,y1) (x2,y2) (x3,y3) (x4,y4)
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| den < 0 && ( t' > 0 || u' > 0 || t' < den )
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= Nothing
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| otherwise = Just (x1 + (x2-x1)*t'/den, y1 + (y2-y1)*t'/den)
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where
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den = (x1-x2)*(y3-y4) - (y1-y2)*(x3-x4)
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t' = (x1-x3)*(y3-y4) - (y1-y3)*(x3-x4)
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u' = (y1-y2)*(x1-x3) - (x1-x2)*(y1-y3)
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where
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den = (x1-x2)*(y3-y4) - (y1-y2)*(x3-x4)
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t' = (x1-x3)*(y3-y4) - (y1-y3)*(x3-x4)
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u' = (y1-y2)*(x1-x3) - (x1-x2)*(y1-y3)
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-- | Similar to 'intersectSegLineFrom'', but this version is probably not correct...
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intersectSegLineext :: Point2 -> Point2 -> Point2 -> Point2 -> Maybe Point2
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@@ -54,10 +54,10 @@ intersectSegLineext (x1,y1) (x2,y2) (x3,y3) (x4,y4)
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| den < 0 && ( t' > 0 || u' > - den || t' < den )
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= Nothing
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| otherwise = Just (x1 + (x2-x1)*t'/den, y1 + (y2-y1)*t'/den)
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where
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den = (x1-x2)*(y3-y4) - (y1-y2)*(x3-x4)
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t' = (x1-x3)*(y3-y4) - (y1-y3)*(x3-x4)
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u' = (y1-y2)*(x1-x3) - (x1-x2)*(y1-y3)
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where
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den = (x1-x2)*(y3-y4) - (y1-y2)*(x3-x4)
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t' = (x1-x3)*(y3-y4) - (y1-y3)*(x3-x4)
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u' = (y1-y2)*(x1-x3) - (x1-x2)*(y1-y3)
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-- | Intersect a segment with a line.
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intersectSegLine' :: Point2 -> Point2 -> Point2 -> Point2 -> Maybe Point2
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@@ -69,10 +69,10 @@ intersectSegLine' (x1,y1) (x2,y2) (x3,y3) (x4,y4)
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| den < 0 && (t' > 0 || t' < den)
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= Nothing
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| otherwise = Just (x1 + (x2-x1)*t'/den, y1 + (y2-y1)*t'/den)
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where
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den = (x1-x2)*(y3-y4) - (y1-y2)*(x3-x4)
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t' = (x1-x3)*(y3-y4) - (y1-y3)*(x3-x4)
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u' = (y1-y2)*(x1-x3) - (x1-x2)*(y1-y3)
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where
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den = (x1-x2)*(y3-y4) - (y1-y2)*(x3-x4)
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t' = (x1-x3)*(y3-y4) - (y1-y3)*(x3-x4)
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u' = (y1-y2)*(x1-x3) - (x1-x2)*(y1-y3)
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-- | Due to floating point issues, 'intersectSegSeg'' is not always
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-- accurate---'myIntersectSegSeg'
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@@ -86,34 +86,38 @@ myIntersectSegSeg a@(ax,ay) b@(bx,by) c@(cx,cy) d@(dx,dy) = case ratIntersectLin
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Just (x,y) -> if inbetween x && inbetween' y
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then Just (x,y)
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else Nothing
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where inbetween x = ((ax <= x && x <= bx) || (bx <= x && x <= ax)) &&
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((cx <= x && x <= dx) || (dx <= x && x <= cx))
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inbetween' y = ((ay <= y && y <= by) || (by <= y && y <= ay)) &&
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((cy <= y && y <= dy) || (dy <= y && y <= cy))
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where
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inbetween x = ((ax <= x && x <= bx) || (bx <= x && x <= ax))
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&& ((cx <= x && x <= dx) || (dx <= x && x <= cx))
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inbetween' y = ((ay <= y && y <= by) || (by <= y && y <= ay))
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&& ((cy <= y && y <= dy) || (dy <= y && y <= cy))
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-- | Polymorphic intersection of fractional line points.
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myIntersectLineLine :: (Eq a,Fractional a) => (a,a) -> (a,a) -> (a,a) -> (a,a) -> Maybe (a,a)
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myIntersectLineLine a@(ax,ay) b c@(cx,cy) d
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| linGrad a b == Nothing = fmap ((,) ax) $ axisInt (c *-* (ax,0)) (d *-* (ax,0))
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| linGrad c d == Nothing = fmap ((,) cx) $ axisInt (a *-* (cx,0)) (b *-* (cx,0))
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| linGrad a b == Nothing = ((,) ax) <$> axisInt (c *-* (ax,0)) (d *-* (ax,0))
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| linGrad c d == Nothing = ((,) cx) <$> axisInt (a *-* (cx,0)) (b *-* (cx,0))
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| otherwise
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= case linGrad a b ^-^ linGrad c d of
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Just 0 -> Nothing
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_ -> liftA2 (,) newx
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((linGrad a b ^*^ newx) ^+^ axisInt a b)
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where (^-^) = liftA2 (-)
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(^+^) = liftA2 (+)
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(^/^) = liftA2 (/)
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(^*^) = liftA2 (*)
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newx = (axisInt c d ^-^ axisInt a b) ^/^ (linGrad a b ^-^ linGrad c d)
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(*-*) (ax,ay) (bx,by) = (ax-bx,ay-by)
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_ -> liftA2 (,) newx ((linGrad a b ^*^ newx) ^+^ axisInt a b)
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where
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(^-^) = liftA2 (-)
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(^+^) = liftA2 (+)
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(^/^) = liftA2 (/)
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(^*^) = liftA2 (*)
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newx = (axisInt c d ^-^ axisInt a b) ^/^ (linGrad a b ^-^ linGrad c d)
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(*-*) (ax,ay) (bx,by) = (ax-bx,ay-by)
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-- | Transforms floating points to rationals then performs line intersection.
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ratIntersectLineLine :: Point2 -> Point2 -> Point2 -> Point2 -> Maybe Point2
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ratIntersectLineLine a b c d = fmap toNumPoint2 $ myIntersectLineLine (toRatPoint2 a) (toRatPoint2 b) (toRatPoint2 c) (toRatPoint2 d)
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where toRatPoint2 (x,y) = (toRational x, toRational y)
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toNumPoint2 (x,y) = (fromRational x, fromRational y)
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f = toRatPoint2 . roundPoint2
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ratIntersectLineLine a b c d = toNumPoint2
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<$> myIntersectLineLine (toRatPoint2 a) (toRatPoint2 b) (toRatPoint2 c) (toRatPoint2 d)
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where
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toRatPoint2 (x,y) = (toRational x, toRational y)
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toNumPoint2 (x,y) = (fromRational x, fromRational y)
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f = toRatPoint2 . roundPoint2
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{- | Round the floats within a 'Point2' to the nearest integer.
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__Examples__
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