| Safe Haskell | None |
|---|---|
| Language | Haskell2010 |
Data.Geometry.Ball
Contents
- data Ball d p r = Ball {
- _center :: !(Point d r :+ p)
- _squaredRadius :: !r
- squaredRadius :: forall d p r. Lens' (Ball d p r) r
- center :: forall d p r d p. Lens (Ball d p r) (Ball d p r) ((:+) (Point d r) p) ((:+) (Point d r) p)
- radius :: Floating r => Lens' (Ball d p r) r
- fromDiameter :: (Arity d, Fractional r) => Point d r -> Point d r -> Ball d () r
- fromCenterAndPoint :: (Arity d, Num r) => (Point d r :+ p) -> (Point d r :+ p) -> Ball d p r
- unitBall :: (Arity d, Num r) => Ball d () r
- inBall :: (Arity d, Ord r, Num r) => Point d r -> Ball d p r -> PointLocationResult
- insideBall :: (Arity d, Ord r, Num r) => Point d r -> Ball d p r -> Bool
- inClosedBall :: (Arity d, Ord r, Num r) => Point d r -> Ball d p r -> Bool
- onBall :: (Arity d, Ord r, Num r) => Point d r -> Ball d p r -> Bool
- type Sphere d p r = Boundary (Ball d p r)
- pattern Sphere :: forall d r p. (:+) (Point d r) p -> r -> Sphere d p r
- type Disk p r = Ball 2 p r
- pattern Disk :: forall r p. (:+) (Point 2 r) p -> r -> Disk p r
- type Circle p r = Sphere 2 p r
- pattern Circle :: forall r p. (:+) (Point 2 r) p -> r -> Circle p r
- disk :: (Eq r, Fractional r) => Point 2 r -> Point 2 r -> Point 2 r -> Maybe (Disk () r)
- from3Points :: Fractional r => (Point 2 r :+ p) -> (Point 2 r :+ q) -> (Point 2 r :+ s) -> Circle () r
- newtype Touching p = Touching p
A d-dimensional ball
A d-dimensional ball.
Constructors
| Ball | |
Fields
| |
Instances
| Arity d => Bifunctor (Ball d) Source # | |
| Arity d => Functor (Ball d p) Source # | |
| Floating r => HasDefaultIpeOut (Disk p r) Source # | |
| (Ord r, Floating r) => IsIntersectableWith (Line 2 r) (Circle p r) Source # | |
| (Eq r, Eq p, Arity d) => Eq (Ball d p r) Source # | |
| (Show r, Show p, Arity d) => Show (Ball d p r) Source # | |
| Generic (Ball d p r) Source # | |
| (Ord r, Floating r) => IsIntersectableWith (LineSegment 2 p r) (Circle q r) Source # | |
| type DefaultIpeOut (Disk p r) Source # | |
| type IntersectionOf (Line 2 r) (Circle p r) Source # | |
| type Rep (Ball d p r) Source # | |
| type NumType (Ball d p r) Source # | |
| type Dimension (Ball d p r) Source # | |
| type IntersectionOf (LineSegment 2 p r) (Circle q r) Source # | |
squaredRadius :: forall d p r. Lens' (Ball d p r) r Source #
center :: forall d p r d p. Lens (Ball d p r) (Ball d p r) ((:+) (Point d r) p) ((:+) (Point d r) p) Source #
Constructing Balls
fromDiameter :: (Arity d, Fractional r) => Point d r -> Point d r -> Ball d () r Source #
Given two points on the diameter of the ball, construct a ball.
fromCenterAndPoint :: (Arity d, Num r) => (Point d r :+ p) -> (Point d r :+ p) -> Ball d p r Source #
Construct a ball given the center point and a point p on the boundary.
unitBall :: (Arity d, Num r) => Ball d () r Source #
A d dimensional unit ball centered at the origin.
Querying if a point lies in a ball
insideBall :: (Arity d, Ord r, Num r) => Point d r -> Ball d p r -> Bool Source #
Test if a point lies strictly inside a ball
>>>(point2 0.5 0.0) `insideBall` unitBallTrue>>>(point2 1 0) `insideBall` unitBallFalse>>>(point2 2 0) `insideBall` unitBallFalse
inClosedBall :: (Arity d, Ord r, Num r) => Point d r -> Ball d p r -> Bool Source #
Test if a point lies in or on the ball
onBall :: (Arity d, Ord r, Num r) => Point d r -> Ball d p r -> Bool Source #
Test if a point lies on the boundary of a ball.
>>>(point2 1 0) `onBall` unitBallTrue>>>(point3 1 1 0) `onBall` unitBallFalse
Disks and Circles, aka 2-dimensional Balls and Spheres
disk :: (Eq r, Fractional r) => Point 2 r -> Point 2 r -> Point 2 r -> Maybe (Disk () r) Source #
Given three points, get the disk through the three points. If the three input points are colinear we return Nothing
>>>disk (point2 0 10) (point2 10 0) (point2 (-10) 0)Just (Ball {_center = Point2 [0.0,0.0] :+ (), _squaredRadius = 100.0})