module Hasmin.Types.Dimension
( Length(..)
, LengthUnit(..)
, Angle(..)
, AngleUnit(..)
, Time(..)
, TimeUnit(..)
, Frequency(..)
, FrequencyUnit(..)
, Resolution(..)
, ResolutionUnit(..)
, toInches
, toPixels
, toRadians
, isRelative
, isRelativeLength
, isZeroLen
, isZeroAngle
) where
import Control.Monad.Reader (asks)
import Data.Monoid ((<>))
import Data.Text.Lazy.Builder (singleton, fromText)
import Hasmin.Class
import Hasmin.Config
import Hasmin.Types.Numeric
import Hasmin.Utils
data Length = Length Number LengthUnit
| NullLength
deriving (Show)
instance Eq Length where
(Length r1 u1) == (Length r2 u2)
| u1 == u2 = r1 == r2
| isAbsolute u1 && isAbsolute u2 = toInches r1 u1 == toInches r2 u2
| otherwise = r1 == 0 && r2 == 0
x == y = isZeroLen x && isZeroLen y
instance Minifiable Length where
minify NullLength = pure NullLength
minify d@(Length r u) = do
shouldMinifyUnits <- asks ((DimMinOn ==) . dimensionSettings)
pure $ if d == Length 0 Q
then NullLength
else if (not . isRelative) u && shouldMinifyUnits
then minDim Length r u [Q, CM, MM, IN, PC, PT, PX]
else d
isRelative :: LengthUnit -> Bool
isRelative x = x == EM || x == EX || x == CH || x == VH
|| x == VW || x == VMIN || x == VMAX || x == REM
isAbsolute :: LengthUnit -> Bool
isAbsolute x = x == PX || x == PT || x == PC || x == IN
|| x == MM || x == CM || x == Q
isRelativeLength :: Length -> Bool
isRelativeLength (Length _ u) = isRelative u
isRelativeLength NullLength = False
isZeroLen :: Length -> Bool
isZeroLen (Length 0 _) = True
isZeroLen NullLength = True
isZeroLen _ = False
instance ToText Length where
toBuilder (Length r u) = (fromText . toText) r <> (fromText . toText) u
toBuilder NullLength = singleton '0'
data Angle = Angle Number AngleUnit
| NullAngle
deriving (Show)
instance Eq Angle where
(Angle r1 u1) == (Angle r2 u2)
| u1 == u2 = r1 == r2
| otherwise = toDegrees r1 u1 == toDegrees r2 u2
x == y = isZeroAngle x && isZeroAngle y
isZeroAngle :: Angle -> Bool
isZeroAngle NullAngle = True
isZeroAngle (Angle 0 _) = True
isZeroAngle _ = False
instance Minifiable Angle where
minify (Angle 0 _) = pure NullAngle
minify a@(Angle r u) = do
dimSettings <- asks dimensionSettings
pure $ case dimSettings of
DimMinOn -> minDim Angle r u [minBound..]
DimMinOff -> a
minify NullAngle = pure NullAngle
instance ToText Angle where
toBuilder NullAngle = singleton '0'
toBuilder (Angle r u) = toBuilder r <> toBuilder u
data Time = Time Number TimeUnit
deriving (Show)
instance Eq Time where
(Time r1 u1) == (Time r2 u2)
| u1 == u2 = r1 == r2
| otherwise = toSeconds r1 u1 == toSeconds r2 u2
instance Minifiable Time where
minify d@(Time r u) = do
dimSettings <- asks dimensionSettings
pure $ case dimSettings of
DimMinOn -> minDim Time r u [minBound..]
DimMinOff -> d
instance ToText Time where
toBuilder (Time r u) = toBuilder r <> toBuilder u
data Frequency = Frequency Number FrequencyUnit
deriving (Show)
instance Eq Frequency where
(Frequency r1 u1) == (Frequency r2 u2)
| u1 == u2 = r1 == r2
| otherwise = toHertz r1 u1 == toHertz r2 u2
instance Minifiable Frequency where
minify f@(Frequency r u) = do
dimSettings <- asks dimensionSettings
pure $ case dimSettings of
DimMinOn -> minDim Frequency r u [minBound..]
DimMinOff -> f
instance ToText Frequency where
toBuilder (Frequency r u) = toBuilder r <> toBuilder u
data Resolution = Resolution Number ResolutionUnit
deriving (Show)
instance Eq Resolution where
(Resolution r1 u1) == (Resolution r2 u2)
| u1 == u2 = r1 == r2
| otherwise = toDpi r1 u1 == toDpi r2 u2
instance Minifiable Resolution where
minify x@(Resolution r u) = do
dimSettings <- asks dimensionSettings
pure $ case dimSettings of
DimMinOn -> minDim Resolution r u [minBound..]
DimMinOff -> x
instance ToText Resolution where
toBuilder (Resolution r u) = toBuilder r <> toBuilder u
minDim :: (Unit a, ToText a) => (Number -> a -> b) -> Number -> a -> [a] -> b
minDim constructor r u [] = constructor r u
minDim constructor r u (x:xs)
| currentLength < newLength = minDim constructor r u xs
| otherwise = minDim constructor equivValue x xs
where equivValue = convertTo x r u
currentLength = textualLength r + textualLength u
newLength = textualLength equivValue + textualLength x
class Unit a where
convertTo :: a -> Number -> a -> Number
data LengthUnit = IN | CM | MM | PC | PT | PX | Q
| EM | EX | CH | VH | VW | VMIN | VMAX | REM
deriving (Show, Eq, Enum, Bounded)
instance ToText LengthUnit where
toBuilder IN = "in"
toBuilder CM = "cm"
toBuilder MM = "mm"
toBuilder Q = "q"
toBuilder PC = "pc"
toBuilder PT = "pt"
toBuilder PX = "px"
toBuilder EM = "em"
toBuilder EX = "ex"
toBuilder CH = "ch"
toBuilder VH = "vh"
toBuilder VW = "vw"
toBuilder VMIN = "vmin"
toBuilder VMAX = "vmax"
toBuilder REM = "rem"
instance Unit LengthUnit where
convertTo IN = toInches
convertTo CM = toCentimeters
convertTo MM = toMilimeters
convertTo Q = toQuarterMilimeter
convertTo PT = toPoints
convertTo PC = toPica
convertTo PX = toPixels
convertTo _ = const
data AngleUnit = Turn | Grad | Rad | Deg
deriving (Show, Eq, Enum, Bounded)
instance ToText AngleUnit where
toBuilder Turn = "turn"
toBuilder Grad = "grad"
toBuilder Rad = "rad"
toBuilder Deg = "deg"
instance Unit AngleUnit where
convertTo Turn = toTurns
convertTo Grad = toGradians
convertTo Rad = toRadians
convertTo Deg = toDegrees
data TimeUnit = S
| Ms
deriving (Show, Eq, Enum, Bounded)
instance ToText TimeUnit where
toBuilder S = "s"
toBuilder Ms = "ms"
instance Unit TimeUnit where
convertTo S = toSeconds
convertTo Ms = toMiliseconds
data FrequencyUnit = Hz | Khz
deriving (Show, Eq, Enum, Bounded)
instance ToText FrequencyUnit where
toBuilder Hz = "hz"
toBuilder Khz = "khz"
instance Unit FrequencyUnit where
convertTo Hz = toHertz
convertTo Khz = toKilohertz
data ResolutionUnit = Dpcm | Dppx | Dpi
deriving (Show, Eq, Enum, Bounded)
instance ToText ResolutionUnit where
toBuilder Dpi = "dpi"
toBuilder Dpcm = "dpcm"
toBuilder Dppx = "dppx"
instance Unit ResolutionUnit where
convertTo Dpi = toDpi
convertTo Dpcm = toDpcm
convertTo Dppx = toDppx
toInches :: Number -> LengthUnit -> Number
toInches d CM = d / 2.54
toInches d MM = d / 25.4
toInches d Q = d / 101.6
toInches d PT = d / 72
toInches d PC = d / 6
toInches d PX = d / 96
toInches d _ = d
toCentimeters :: Number -> LengthUnit -> Number
toCentimeters d IN = d * 2.54
toCentimeters d MM = d / 10
toCentimeters d Q = d / 40
toCentimeters d PT = d * (2.54 / 72)
toCentimeters d PC = d * (2.54 / 6)
toCentimeters d PX = d * (2.54 / 96)
toCentimeters d _ = d
toMilimeters :: Number -> LengthUnit -> Number
toMilimeters d IN = d * 25.4
toMilimeters d CM = d * 10
toMilimeters d Q = d / 4
toMilimeters d PT = d * (25.4 / 72)
toMilimeters d PC = d * (25.4 / 6)
toMilimeters d PX = d * (25.4 / 96)
toMilimeters d _ = d
toQuarterMilimeter :: Number -> LengthUnit -> Number
toQuarterMilimeter d IN = d * 101.6
toQuarterMilimeter d CM = d * 40
toQuarterMilimeter d MM = d * 4
toQuarterMilimeter d PT = d * (101.6 / 72)
toQuarterMilimeter d PC = d * (101.6 / 6)
toQuarterMilimeter d PX = d * (101.6 / 96)
toQuarterMilimeter d _ = d
toPoints :: Number -> LengthUnit -> Number
toPoints d IN = d * 72
toPoints d CM = d * (72 / 2.54)
toPoints d MM = d * (72 / 25.4)
toPoints d Q = d * (72 / 101.6)
toPoints d PC = d * 12
toPoints d PX = d * (3 / 4)
toPoints d _ = d
toPica :: Number -> LengthUnit -> Number
toPica d IN = d * 6
toPica d CM = d * (6 / 2.54)
toPica d MM = d * (6 / 25.4)
toPica d Q = d * (6 / 101.6)
toPica d PT = d / 12
toPica d PX = d / 16
toPica d _ = d
toPixels :: Number -> LengthUnit -> Number
toPixels d IN = d * 96
toPixels d CM = d * (96 / 2.54)
toPixels d MM = d * (96 / 25.4)
toPixels d Q = d * (96 / 101.6)
toPixels d PT = d * (4 / 3)
toPixels d PC = d * 16
toPixels d _ = d
rationalPi :: Number
rationalPi = Number $ toRational (pi :: Double)
toDegrees :: Number -> AngleUnit -> Number
toDegrees d Deg = d
toDegrees d Grad = d * (9 / 10)
toDegrees d Rad = d * (180 / rationalPi)
toDegrees d Turn = d * 360
toGradians :: Number -> AngleUnit -> Number
toGradians d Deg = d * (10 / 9)
toGradians d Grad = d
toGradians d Rad = d * (200 / rationalPi)
toGradians d Turn = d * 400
toRadians :: Number -> AngleUnit -> Number
toRadians d Deg = d * (rationalPi / 180)
toRadians d Grad = d * (rationalPi / 200)
toRadians d Rad = d
toRadians d Turn = d * 2 * rationalPi
toTurns :: Number -> AngleUnit -> Number
toTurns d Deg = d / 360
toTurns d Grad = d / 400
toTurns d Rad = d / (2 * rationalPi)
toTurns d Turn = d
toSeconds :: Number -> TimeUnit -> Number
toSeconds d S = d
toSeconds d Ms = d / 1000
toMiliseconds :: Number -> TimeUnit -> Number
toMiliseconds d S = d * 1000
toMiliseconds d Ms = d
toHertz :: Number -> FrequencyUnit -> Number
toHertz d Hz = d
toHertz d Khz = d * 1000
toKilohertz :: Number -> FrequencyUnit -> Number
toKilohertz d Hz = d / 1000
toKilohertz d Khz = d
toDpi :: Number -> ResolutionUnit -> Number
toDpi d Dpi = d
toDpi d Dpcm = d * 2.54
toDpi d Dppx = d * 96
toDpcm :: Number -> ResolutionUnit -> Number
toDpcm d Dpi = d / 2.54
toDpcm d Dpcm = d
toDpcm d Dppx = d * (96 / 2.54)
toDppx :: Number -> ResolutionUnit -> Number
toDppx d Dpi = d / 96
toDppx d Dpcm = d * (2.54 / 96)
toDppx d Dppx = d