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