Graphics.Typography.Geometry

This module contains basic tools for geometric types and functions.

Documentation

data Matrix2 a

The type of the transformation matrices used in all geometrical applications.

Constructors

Matrix2 a a a a

The application of Matrix2 a b c d to vector (x,y) should be (ax+by,cx+dy).

Instances

Intervalize Matrix2

Defined in Graphics.Typography.Geometry

Methods

intervalize :: Matrix2 Double -> Matrix2 Interval

intersects :: Matrix2 Interval -> Matrix2 Interval -> Bool

Eq a => Eq (Matrix2 a)

Defined in Graphics.Typography.Geometry

Methods

(==) :: Matrix2 a -> Matrix2 a -> Bool

(/=) :: Matrix2 a -> Matrix2 a -> Bool

Num a => Num (Matrix2 a)

Defined in Graphics.Typography.Geometry

Methods

(+) :: Matrix2 a -> Matrix2 a -> Matrix2 a

(-) :: Matrix2 a -> Matrix2 a -> Matrix2 a

(*) :: Matrix2 a -> Matrix2 a -> Matrix2 a

negate :: Matrix2 a -> Matrix2 a

abs :: Matrix2 a -> Matrix2 a

signum :: Matrix2 a -> Matrix2 a

fromInteger :: Integer -> Matrix2 a

Read a => Read (Matrix2 a)

Defined in Graphics.Typography.Geometry

Methods

readsPrec :: Int -> ReadS (Matrix2 a)

readList :: ReadS [Matrix2 a]

readPrec :: ReadPrec (Matrix2 a)

readListPrec :: ReadPrec [Matrix2 a]

Show a => Show (Matrix2 a)

Defined in Graphics.Typography.Geometry

Methods

showsPrec :: Int -> Matrix2 a -> ShowS

show :: Matrix2 a -> String

showList :: [Matrix2 a] -> ShowS

inverse :: (Fractional a, Num a) => Matrix2 a -> Matrix2 a

Inverses an inversible matrix. If it is not inversible, The behaviour is undefined.

rotation :: Floating a => a -> Matrix2 a

The matrix of a rotation

class Geometric g where

A class for applying geometric applications to objects

Methods

translate :: Double -> Double -> g -> g

apply :: Matrix2 Double -> g -> g

Instances

Geometric Curve

Defined in Graphics.Typography.Geometry.Bezier

Methods

translate :: Double -> Double -> Curve -> Curve

apply :: Matrix2 Double -> Curve -> Curve

Geometric g => Geometric [g]

Defined in Graphics.Typography.Geometry

Methods

translate :: Double -> Double -> [g] -> [g]

apply :: Matrix2 Double -> [g] -> [g]

leftMost :: (Double, Double) -> (Double, Double) -> (Double, Double)

leftMost a b is the leftmost point between a and b.

rightMost :: (Double, Double) -> (Double, Double) -> (Double, Double)

rightMost a b is the rightmost point between a and b.

topMost :: (Double, Double) -> (Double, Double) -> (Double, Double)

topMost a b is the upper point between a and b.

bottomMost :: (Double, Double) -> (Double, Double) -> (Double, Double)

bottomMost a b is the lower point between a and b.