UnitfulAngles

A supplemental units package for Julia's Unitful.jl.

UnitfulAngles.jl introduces all the angular units found in Wikipedia's articles Angle § Units, Angular unit and Circular sector.

In addition to the Radian and Degree units already available in Unitful.jl, the following units are introduced: DoubleTurn, Turn, HalfTurn, Quadrant, Sextant, Octant, ClockPosition, HourAngle, CompassPoint, Hexacontade, BinaryRadian, DiameterPart, Gradian, Arcminute, and Arcsecond.

Because all the trigonometric functions work correctly regardless of the type of their argument, there is no need to convert between the units. However, to specifically convert one unit to the other, use Unitful.jl's uconvert function:

julia> using Unitful, UnitfulAngles

julia> uconvert(u"clockPosition", 128u"brad")
6//1 clockPosition

Special features

• All the trigonometric functions (sin, sinc, cos, cosc, tan, sec, csc, and cot) work as expected:

  julia> using UnitfulAngles
  
  julia> import UnitfulAngles: °, rad, octant
  
  julia> sin(30°)
  0.5
  
  julia> cos(π*rad)
  -1.0
  
  julia> tan(1octant)
  1.0

• In order to get inverse functions (acos, acot, acsc, asec, asin, atan, and atan2) to return a specific unit, specify the desired unit as the first argument:

  julia> import UnitfulAngles.turn
  
  julia> asin(turn, 1)
  0.25 τ

• As a bonus, you can also convert between an angle and Dates.Time:

  julia> using Unitful, UnitfulAngles, Dates
  
  julia> convert(Dates.Time, 200u"grad")
  12:00:00
  
  julia> convert(u"sextant", Dates.Time(4,0,0))
  1.0 sextant