Copyright	(c) 2011 diagrams-lib team (see LICENSE)
License	BSD-style (see LICENSE)
Maintainer	diagrams-discuss@googlegroups.com
Safe Haskell	None
Language	Haskell2010

Diagrams.ThreeD.Types

Contents

3D Euclidean space

Description

Basic types for three-dimensional Euclidean space.

Synopsis

3D Euclidean space

r3 :: (n, n, n) -> V3 n Source

Construct a 3D vector from a triple of components.

unr3 :: V3 n -> (n, n, n) Source

Convert a 3D vector back into a triple of components.

mkR3 :: n -> n -> n -> V3 n Source

Curried version of r3.

p3 :: (n, n, n) -> P3 n Source

Construct a 3D point from a triple of coordinates.

unp3 :: P3 n -> (n, n, n) Source

Convert a 3D point back into a triple of coordinates.

mkP3 :: n -> n -> n -> P3 n Source

Curried version of r3.

r3Iso :: Iso' (V3 n) (n, n, n) Source

p3Iso :: Iso' (P3 n) (n, n, n) Source

project :: (Metric v, Fractional a) => v a -> v a -> v a

project u v computes the projection of v onto u.

r3SphericalIso :: RealFloat n => Iso' (V3 n) (n, Angle n, Angle n) Source

r3CylindricalIso :: RealFloat n => Iso' (V3 n) (n, Angle n, n) Source

data V3 a :: * -> *

A 3-dimensional vector

Constructors

V3 !a !a !a

Instances

Monad V3
Functor V3
MonadFix V3
Applicative V3
Foldable V3
Traversable V3
Generic1 V3
Apply V3
Distributive V3
Representable V3
MonadZip V3
Serial1 V3
Additive V3
Traversable1 V3
Affine V3
R3 V3
R2 V3
R1 V3
Metric V3
Foldable1 V3
Bind V3
Eq1 V3
Ord1 V3
Read1 V3
Show1 V3
HasPhi V3
HasTheta V3
HasR V3
Unbox a => Vector Vector (V3 a)
Unbox a => MVector MVector (V3 a)
Bounded a => Bounded (V3 a)
Eq a => Eq (V3 a)
Floating a => Floating (V3 a)
Fractional a => Fractional (V3 a)
Data a => Data (V3 a)
Num a => Num (V3 a)
Ord a => Ord (V3 a)
Read a => Read (V3 a)
Show a => Show (V3 a)
Ix a => Ix (V3 a)
Generic (V3 a)
Storable a => Storable (V3 a)
Binary a => Binary (V3 a)
Serial a => Serial (V3 a)
Serialize a => Serialize (V3 a)
NFData a => NFData (V3 a)
Transformable (V3 n)
Hashable a => Hashable (V3 a)
Unbox a => Unbox (V3 a)
Ixed (V3 a)
Epsilon a => Epsilon (V3 a)
Coordinates (V3 n)
FunctorWithIndex (E V3) V3
FoldableWithIndex (E V3) V3
TraversableWithIndex (E V3) V3
Each (V3 a) (V3 b) a b
TypeableFloat n => Traced (BoundingBox V3 n)
Typeable (* -> *) V3
type Rep1 V3 = D1 D1V3 (C1 C1_0V3 ((::) (S1 NoSelector Par1) ((::) (S1 NoSelector Par1) (S1 NoSelector Par1))))
type Rep V3 = E V3
type Diff V3 = V3
data MVector s (V3 a) = MV_V3 !Int (MVector s a)
type Rep (V3 a) = D1 D1V3 (C1 C1_0V3 ((::) (S1 NoSelector (Rec0 a)) ((::) (S1 NoSelector (Rec0 a)) (S1 NoSelector (Rec0 a)))))
type V (V3 n) = V3
type N (V3 n) = n
data Vector (V3 a) = V_V3 !Int (Vector a)
type Index (V3 a) = E V3
type IxValue (V3 a) = a
type FinalCoord (V3 n) = n
type PrevDim (V3 n) = V2 n
type Decomposition (V3 n) = (:&) ((:&) n n) n

type P3 = Point V3 Source

type T3 = Transformation V3 Source

class R1 t where

A space that has at least 1 basis vector _x.

Minimal complete definition

Nothing

Methods

_x :: Functor f => (a -> f a) -> t a -> f (t a)

>>> V1 2 ^._x
2

>>> V1 2 & _x .~ 3
V1 3

Instances

R1 Identity
R1 V4
R1 V3
R1 V2
R1 V1
R1 f => R1 (Point f)

class R1 t => R2 t where

A space that distinguishes 2 orthogonal basis vectors _x and _y, but may have more.

Minimal complete definition

Nothing

Methods

_y :: Functor f => (a -> f a) -> t a -> f (t a)

>>> V2 1 2 ^._y
2

>>> V2 1 2 & _y .~ 3
V2 1 3

_xy :: Functor f => (V2 a -> f (V2 a)) -> t a -> f (t a)

Instances

R2 V4
R2 V3
R2 V2
R2 f => R2 (Point f)

class R2 t => R3 t where

A space that distinguishes 3 orthogonal basis vectors: _x, _y, and _z. (It may have more)

Minimal complete definition

Nothing

Methods

_z :: Functor f => (a -> f a) -> t a -> f (t a)

>>> V3 1 2 3 ^. _z
3

_xyz :: Functor f => (V3 a -> f (V3 a)) -> t a -> f (t a)

Instances

R3 V4
R3 V3
R3 f => R3 (Point f)