io.github.karols.units.internal.UnitImpl.scala Maven / Gradle / Ivy

Go to download
Show more of this group Show more artifacts with this name
Show all versions of units_2.10 Show documentation
units
The newest version!
/*
Copyright (c) 2013-2016 Karol M. Stasiak

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
*/
package io.github.karols.units.internal

object UnitImpl {
	import language.higherKinds
	import language.implicitConversions
	import Bools._
	import Integers._
	import SingleUnits._
	import io.github.karols.units.MUnit

	sealed trait TUnitPowerPair extends MUnit {
		type UnitName <: TSingleUnit
		type Power <: TInteger
		type Get[V<:TSingleUnit] = If[V====UnitName,
			Power,
			_0,
		TInteger]
	}
	sealed trait ^[U<:TSingleUnit, N<:TInteger] extends MUnit with TUnitPowerPair {
		type UnitName = U
		type Power = N
		type Invert = U ^ N#Negate
		type MulSingle[S<:TUnitPowerPair] =
			S#UnitName#LessEqualGreater[U,
				(U^N)**S,
				(S#Power+N)#ZeroNegPos[
					TDimensionless,
					({type L[A]=(S#UnitName ^ (S#Power+N))})#L,
					({type L[A]=(S#UnitName ^ (S#Power+N))})#L,
				MUnit],
				S**(U^N),
			MUnit]
		type Mul[S<:MUnit] = S#MulSingle[U^N]
		type ToPower[Exp<:TInteger] = If[Exp == _0,
			TDimensionless,
			U^(Exp#Mul[N]),
		MUnit]
		type Sqrt = If[IsSquare,
			U^(N#Half),
			Nothing,
		MUnit]
		type Cbrt = If[IsCube,
			U^(N#Third),
			Nothing,
		MUnit]
		type IsSquare = N#DivisibleByTwo
		type IsCube   = N#DivisibleByThree
		type Substitute[S<:TSingleUnit, V<:MUnit] = If[S====UnitName,
			V#ToPower[N],
			U^N,
		MUnit]
	}
	sealed trait TDimensionless extends MUnit {
		type Get[U<:TSingleUnit] = _0
		type Invert = TDimensionless
		type MulSingle[S<:TUnitPowerPair] = S
		type Mul[S<:MUnit] = S
		type ToPower[Exp<:TInteger] = TDimensionless
		type Sqrt = TDimensionless
		type Cbrt = TDimensionless
		type IsSquare = True
		type IsCube   = True
		type Substitute[S<:TSingleUnit, V<:MUnit] = TDimensionless
	}
	sealed trait **[T<:MUnit,H<:TUnitPowerPair] extends MUnit {
		type Get[U<:TSingleUnit] = If[H#UnitName ==== U,
			H#Power,
			T#Get[U],
		TInteger]
		//type MatchScalarNonscalar[IfScalar<:ResultType, IfNonscalar[U<:TUnitPowerPair, Tail<:MUnit]<:ResultType, ResultType] = IfNonscalar[H,T]
		type Invert = (T#Invert)**(H#UnitName ^ H#Power#Negate)
		type MulSingle[S<:TUnitPowerPair] =
			S#UnitName#LessEqualGreater[H#UnitName,
				(T**H)**S,
				(S#Power + H#Power)#ZeroNegPos[
					T,
					({type L[A] = T ** (S#UnitName ^ (S#Power+H#Power))})#L,
					({type L[A] = T ** (S#UnitName ^ (S#Power+H#Power))})#L,
				MUnit],	
				(T#MulSingle[S]) ** H,
			MUnit]

		type Mul[S<:MUnit] = S#Mul[T]#MulSingle[H]
		type ToPower[Exp<:TInteger] = If[Exp == _0,
			TDimensionless,
			(T#ToPower[Exp]) ** (H#UnitName ^ H#Power#Mul[Exp]),
		MUnit]
		type Sqrt = If[IsSquare,
			(T#Sqrt) ** (H#UnitName ^ H#Power#Half),
			Nothing,
		MUnit]
		type Cbrt = If[IsCube,
			(T#Cbrt) ** (H#UnitName ^ H#Power#Third),
			Nothing,
		MUnit]
		type IsSquare = H#IsSquare#And[T#IsSquare]
		type IsCube   = H#IsCube  #And[T#IsCube]
		type Substitute[S<:TSingleUnit, V<:MUnit] = If[S====H#UnitName,
			T#Mul[V#ToPower[H#Power]],
			T#Substitute[S,V]#MulSingle[H],
		MUnit]
	}
	
}