Naqsha.Geometry.Angle

Basic types associated with geometry.

Documentation

data Angle

An abstract angle. Internally, angles are represented as a 64-bit integer with each unit contribute 1/2^64 fraction of a complete circle. This means that angles are accurate up to a resolution of 2 π / 2^64 radians. Angles form a group under the angular addition and the fact that these are represented as integers means one can expect high speed accurate angle arithmetic.

When expressing angles one can use a more convenient notation:

myAngle   = degree 21.71167
yourAngle = degree 21 <> minute 42 <> second 42

Instances

Bounded Angle

Methods

minBound :: Angle

maxBound :: Angle

Enum Angle

Methods

succ :: Angle -> Angle

pred :: Angle -> Angle

toEnum :: Int -> Angle

fromEnum :: Angle -> Int

enumFrom :: Angle -> [Angle]

enumFromThen :: Angle -> Angle -> [Angle]

enumFromTo :: Angle -> Angle -> [Angle]

enumFromThenTo :: Angle -> Angle -> Angle -> [Angle]

Eq Angle

Methods

(==) :: Angle -> Angle -> Bool

(/=) :: Angle -> Angle -> Bool

Ord Angle

Methods

compare :: Angle -> Angle -> Ordering

(<) :: Angle -> Angle -> Bool

(<=) :: Angle -> Angle -> Bool

(>) :: Angle -> Angle -> Bool

(>=) :: Angle -> Angle -> Bool

max :: Angle -> Angle -> Angle

min :: Angle -> Angle -> Angle

Read Angle

Methods

readsPrec :: Int -> ReadS Angle

readList :: ReadS [Angle]

readPrec :: ReadPrec Angle

readListPrec :: ReadPrec [Angle]

Show Angle

Methods

showsPrec :: Int -> Angle -> ShowS

show :: Angle -> String

showList :: [Angle] -> ShowS

Monoid Angle

Methods

mempty :: Angle

mappend :: Angle -> Angle -> Angle

mconcat :: [Angle] -> Angle

Default Angle

Methods

def :: Angle

Group Angle

Methods

invert :: Angle -> Angle

pow :: Integral x => Angle -> x -> Angle

Unbox Angle

Angular Angle

Methods

toAngle :: Angle -> Angle

Vector Vector Angle

Methods

basicUnsafeFreeze :: PrimMonad m => Mutable Vector (PrimState m) Angle -> m (Vector Angle)

basicUnsafeThaw :: PrimMonad m => Vector Angle -> m (Mutable Vector (PrimState m) Angle)

basicLength :: Vector Angle -> Int

basicUnsafeSlice :: Int -> Int -> Vector Angle -> Vector Angle

basicUnsafeIndexM :: Monad m => Vector Angle -> Int -> m Angle

basicUnsafeCopy :: PrimMonad m => Mutable Vector (PrimState m) Angle -> Vector Angle -> m ()

elemseq :: Vector Angle -> Angle -> b -> b

MVector MVector Angle

Methods

basicLength :: MVector s Angle -> Int

basicUnsafeSlice :: Int -> Int -> MVector s Angle -> MVector s Angle

basicOverlaps :: MVector s Angle -> MVector s Angle -> Bool

basicUnsafeNew :: PrimMonad m => Int -> m (MVector (PrimState m) Angle)

basicInitialize :: PrimMonad m => MVector (PrimState m) Angle -> m ()

basicUnsafeReplicate :: PrimMonad m => Int -> Angle -> m (MVector (PrimState m) Angle)

basicUnsafeRead :: PrimMonad m => MVector (PrimState m) Angle -> Int -> m Angle

basicUnsafeWrite :: PrimMonad m => MVector (PrimState m) Angle -> Int -> Angle -> m ()

basicClear :: PrimMonad m => MVector (PrimState m) Angle -> m ()

basicSet :: PrimMonad m => MVector (PrimState m) Angle -> Angle -> m ()

basicUnsafeCopy :: PrimMonad m => MVector (PrimState m) Angle -> MVector (PrimState m) Angle -> m ()

basicUnsafeMove :: PrimMonad m => MVector (PrimState m) Angle -> MVector (PrimState m) Angle -> m ()

basicUnsafeGrow :: PrimMonad m => MVector (PrimState m) Angle -> Int -> m (MVector (PrimState m) Angle)

data Vector Angle

data Vector Angle = AngV (Vector Int64)

data MVector s Angle

data MVector s Angle = MAngV (MVector s Int64)

degree :: Rational -> Angle

Express angle in degrees.

minute :: Rational -> Angle

Express angle in minutes.

second :: Rational -> Angle

Express angle in seconds.

radian :: Double -> Angle

Express angle in radians

toDegree :: Fractional r => Angle -> r

Measure angle in degrees. This conversion may lead to loss of precision.

toRadian :: Angle -> Double

Measure angle in radians. This conversion may lead to loss of precision.

class Angular a where

Angular quantities.

Minimal complete definition

toAngle

Methods

toAngle :: a -> Angle

Instances

Angular Angle

Methods

toAngle :: Angle -> Angle

Angular Longitude

Methods

toAngle :: Longitude -> Angle

Angular Latitude

Methods

toAngle :: Latitude -> Angle