Safe Haskell	None
Language	Haskell2010

Naqsha.Geometry.Angle

Description

Basic types associated with geometry.

Synopsis

Documentation

data Angle Source #

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 Source #
Methods minBound :: Angle # maxBound :: Angle #
Enum Angle Source #
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 Source #
Methods (==) :: Angle -> Angle -> Bool # (/=) :: Angle -> Angle -> Bool #
Ord Angle Source #
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 Source #
Methods readsPrec :: Int -> ReadS Angle # readList :: ReadS [Angle] # readPrec :: ReadPrec Angle # readListPrec :: ReadPrec [Angle] #
Show Angle Source #
Methods showsPrec :: Int -> Angle -> ShowS # show :: Angle -> String # showList :: [Angle] -> ShowS #
Monoid Angle Source #
Methods mempty :: Angle # mappend :: Angle -> Angle -> Angle # mconcat :: [Angle] -> Angle #
Default Angle Source #
Methods def :: Angle #
Group Angle Source #
Methods invert :: Angle -> Angle # pow :: Integral x => Angle -> x -> Angle #
Unbox Angle Source #

Angular Angle Source #
Methods toAngle :: Angle -> Angle Source #
Vector Vector Angle Source #
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 Source #
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 Source #
data Vector Angle = AngV (Vector Int64)
data MVector s Angle Source #
data MVector s Angle = MAngV (MVector s Int64)

degree :: Rational -> Angle Source #

Express angle in degrees.

minute :: Rational -> Angle Source #

Express angle in minutes.

second :: Rational -> Angle Source #

Express angle in seconds.

radian :: Double -> Angle Source #

Express angle in radians

toDegree :: Fractional r => Angle -> r Source #

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

toRadian :: Angle -> Double Source #

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

class Angular a where Source #

Angular quantities.

Minimal complete definition

toAngle

Methods

toAngle :: a -> Angle Source #

Instances

Angular Angle Source #
Methods toAngle :: Angle -> Angle Source #
Angular Longitude Source #
Methods toAngle :: Longitude -> Angle Source #
Angular Latitude Source #
Methods toAngle :: Latitude -> Angle Source #