Geom2d.Line.Internal

This module defines the internals of a line. You probably won't need this module when using the geomtry libary.

Documentation

data InfLine p a

This type modells a infinite line.

Constructors

InfLine (p a) (p a)

Instances

Functor p => Functor (InfLine p)

InfLine is a Functor where the function is mapped over both points which define the InfLine.

Translate p => Translate (InfLine p)

Translate a line by a given vector.

(Point p, Eq a, Fractional a) => Intersect (p a) (InfLine p a)

(Eq (p a), Eq a, RealFloat a, Num (p a), Point p) => Eq (InfLine p a)

Two lines are equal when they have the same root and the same slope. If the two lines do not have a root, that means that the lines are parallel to the x-axis. In this case we compare their y-value.

Read (p a) => Read (InfLine p a)

Show (p a) => Show (InfLine p a)

(Eq (p a), Arbitrary (p a)) => Arbitrary (InfLine p a)

This Arbitrary instance should only produce valid InfLines.

(Point p, Eq a, Fractional a) => Intersect (InfLine p a) (p a)

(Eq (p a), Point p, Num (p a), RealFloat a) => Intersect (FinLine p a) (InfLine p a)

(Eq (p a), Point p, Num (p a), RealFloat a) => Intersect (InfLine p a) (FinLine p a)

(Eq (p a), Num (p a), Num a, RealFloat a, Point p) => Intersect (InfLine p a) (InfLine p a)

data FinLine p a

Modells a finite line stretching between two points.

Constructors

FinLine (p a) (p a)

We expect the two points to be different

Instances

Point p => Distance p (FinLine p)

Translate p => Translate (FinLine p)

Translate a FinLine by a fiven vector

Point p => Distance (FinLine p) p

Eq (p a) => Eq (FinLine p a)

Two lines are equal if their end points are equal.

FinLine a b == FinLine b a

Read (p a) => Read (FinLine p a)

Show (p a) => Show (FinLine p a)

(Eq (p a), Arbitrary (p a)) => Arbitrary (FinLine p a)

This Arbitrary instance should only produce valid FinLines.

AEq (p a) => AEq (FinLine p a)

Two lines are almost equal if their ending points are almost equal.

(Eq (p a), Point p, Num (p a), RealFloat a) => Intersect (FinLine p a) (InfLine p a)

(Eq (p a), Point p, Num (p a), RealFloat a) => Intersect (FinLine p a) (FinLine p a)

(Point p, RealFloat a, Ord a, Eq (p a)) => Intersect (FinLine p a) (Shape p a)

(RealFloat a, Eq a, Eq (p a), Point p) => Intersect (FinLine p a) (Polygon p a)

(Distance p (FinLine p), Floating a, Ord a) => Intersect (FinLine p a) (Circle p a)

(Eq (p a), Point p, Num (p a), RealFloat a) => Intersect (InfLine p a) (FinLine p a)

(Point p, RealFloat a, Ord a, Eq (p a)) => Intersect (Shape p a) (FinLine p a)

(RealFloat a, Eq a, Eq (p a), Point p) => Intersect (Polygon p a) (FinLine p a)

(Distance p (FinLine p), Floating a, Ord a) => Intersect (Circle p a) (FinLine p a)