Physics::Unit

A set of stock SI, Imperial and US Unit objects for raku that are employed by Physics::Measure objects.

#viz. https://en.wikipedia.org/wiki/International_System_of_Units

Instructions

zef install Physics::Unit

The locale for units is set to 'us' or 'imp' (imperial) automatically depending on your %*ENV<LANG> system value.

You can override this with export RAKULAND='en_US' or export RAKULAND='anything else'. This affects gallons, pints, mpg, etc. so don't worry if you are from Europe. You can always use imp-pint vs us-pint explicitly to override.

Currency exchange rates are fetched from https://latest.currency-api.pages.dev/v1/currencies/usd.json on module installation. You need to reinstall to get the latest rates.

Synopsis - Physics::Unit

#!/usr/bin/env raku 
use Physics::Unit;

#SYNOPSIS

# Define your own Unit named "ff"
my $ff = Unit.new( defn => 'furlong / fortnight', names => ['ff'] );
say '==============';
dd $ff;
say "$ff";				# 'ff' ... string context gives unit name
say $ff.type;			# 'Speed' inferred from defn
say $ff.canonical;		# 'm.s-1' SI derived unit representation
say $ff.pretty;			# 'm⋅s⁻¹' SI recommended string representation
say $ff.raku;			#  or 'say $ff;' or 'dd $ff;' for details

#Unit.new( factor => 0.00016631, offset => 0, defn => 'furlong / fortnight', type => Speed,
#			 dims => [1,0,-1,0,0,0,0,0,0,0], dmix => ("fortnight"=>-1,"furlong"=>1).MixHash, names => ['ff'] );

# New Unit by renaming an existing one
my $fh = $ff.new( <fh fi> );

# Flexible unit expression (here using the newly defined Unit 'ff'):
my $gonzo = Unit.new( defn => "13 square millimeters per ff", names => ['gonzo'] );

# Parsing of input
my $u1 = Unit.find( 'J' );
my $u2 = Unit.find( 'kg m^2 / s^2' );
my $u3 = Unit.find( 'kg m^2/s^2' );
say "compare $u1, $u2... " ~ $u2.same-unit($u1);   #True

# Check directory information
use Physics::Unit::Directory;

my $dx := Directory.instance;
put $dx.type.names;
put $dx.unit.names;

The ① symbol is used to denote Dimensionless units.

$ % (1) A ABV ABVs Bq C Centigrade Centigrades Da Dalton Daltons E_h E_hs Eₕ F Fahrenheit Fahrenheits GeV GeVs Gy H Ha Hz J J/kg J/kg.K K Km^2/W L Langley Langleys MJ/kg MeV MeVs Mx N Nm Ns PS Pa Rankine Rankines S Sv T TeV TeVs USD USDs V W W/m^2 W/m^2K Wb acre acres alcohol-unit alcohol-units amp ampere amperes amps angstrom angstroms are ares astronomical-unit astronomical-units atm atmosphere atmospheres atms atomic-mass-unit atomic-mass-units atto au balthazar balthazars bar barn barns barrel barrels bars becquerel becquerels billion bottle bottles british-thermal-unit british-thermal-units btu btus bushel bushels ca cable cables cal cal/g.K calorie calories cals candela candelas candle candles carat carats case cases cc cd celsius centi centuries century centurys cord cords coulomb coulombs cup cups cycle cycles day days deci deg degree degrees degs deg² deg²s deka demi demis dollar dollars dram drams dyne dynes eV earth-gravity earth-gravitys electron-volt electron-volts erg ergs exa farad farads fathom fathoms feet feets femto ff fh fi fifth fifths firkin firkins floz fluid-ounce fluid-ounces fluidram fluidrams fm foot foots fortnight fortnights fps ft furlong furlongs g g0 gallon gallons gauss giga gill gills gm gon gons gonzo gpd gpds grad grads grain grains gram gram-force gram-forces gramme grammes grams gray grays hectare hectares hecto hemi hemis henry henrys hertz horsepower horsepowers hour hours hp hp/lb hr hundredweight hundredweights imp-gallon imp-gallons imp-pint imp-pints imperial imperials in inch inchs j-point j-points jeroboam jeroboams joule joules kW/kg kWh kWh/m^2 kWhs karat karats kat katal katals kats kcal kcals keg kegs kelvin kelvins kg kg m/s kg m^2 kg m^2 / s^2 kg m^2/s kg m^2/s^2 kg/m^3 kgf kgfs kilo kilogram kilograms km knot knots kph kphs kps l l/100km lb lbm lbms lbs light-year light-years liter liters litre litres lm long-ton long-tons lumen lumens lux luxs lx ly m m/m^3 m/s m/s^2 m2 m3 m^2 m^3 m^3/m m^3/s magnum magnums maxwell maxwells mega meter meters metre metres metric-ton metric-tons mho mhos micro micron microns mile miles millenia millenias millenium milleniums milli million min minim minims mins minute minutes mmHg mmHgs mol mole moles mols month months mpg mpgs mph mphs m² m³ nano nautical-mile nautical-miles nebuchadnezzar nebuchadnezzars newton newton-metre newton-metres newtons nmile nmiles ohm ohms one ones ounce ounce-force ounce-forces ounces oz parsec parsecs pascal pascals peck pecks pennyweight pennyweights percent percents perch perchs peta pi pica picas pico pint pints point points pole poles ponykeg ponykegs pound pound-force pound-forces pound-second pound-seconds pounds pounds-mass proof proofs psi psis quart quarts rad radian radians radians per second radians per seconds rads rehoboam rehoboams rem rems revolution revolutions revolutions per second revolutions per seconds revs rod rods rpm rpms s salmanazar salmanazars scruple scruples sec second seconds secs semi semis short-ton short-tons siemens sievert sieverts slug slug ft/s slugs sp spat spats sr steradian steradians stere steres stone stones sv sverdrup sverdrups tablespoon tablespoons tbsp tbsps teaspoon teaspoons tera tesla teslas therm therms tog togs ton tonne tonnes tons torr torrs trillion troy-ounce troy-ounces troy-pound troy-pounds tsp tsps u unity unitys us-gallon us-gallons us-horsepower us-horsepowers us-hp us-hps us-pint us-pints us-proof us-proofs volt volts watt watts weber webers week weeks yard yards year years yocto yotta yr zepto zetta ° °C °F °R °proof °proofs º ºC ºF ºR å Ω μ ᵍ ①

Operation Principles & Edge Cases

Operation Principles

Definition can be shared with several unit names - thus J and Nm can remain distinct
Unit.find first tries name match, then calls Unit.new to try definition match
Matching names is exact; definitions is loose
Defn matches dimension Mix (shallow) - thus 'kg m^2 / s^2' and 'N m' do remain distinct
Long strings (eg. 'kg m^2/s^2') auto reduce to SI derived units (eg. 'J') [if Unit already instaniated]
Override with Unit.new(defn=>'kg m^2/s^2', names=>['kg m^2/s^2']);

Edge Cases

Unit.find('J'); #stock unit name=>'J'.., type=>Energy, defn=>'kg m^2 / s^2' Unit.find('kg m^2/s^2'); #same unit name=>'J'.., type=>Energy, defn=>'kg m^2 / s^2' Unit.find('kg m^2 / s^2');#same unit name=>'J'.., type=>Energy, defn=>'kg m^2 / s^2' Unit.find('Nm'); #stock unit name=>'Nm', type=>Torque, defn=>'N m' Unit.find('N m'); #same unit name=>'Nm', type=>Torque, defn=>'N m' Unit.new(defn=>'kg m^2/s^2', names=>['kg m^2/s^2']); Unit.find('kg m^2/s^2'); #new unit name=>''kg m^2/s^2', type=>Energy,Torque, defn=>'kg m^2/s^2' .type('Energy'); #This establishes the type=>Energy once and for all Unit.find('kg m^2/s^2'); #same unit name=>'kg m^2/s^2', type=>Energy, defn='kg m^2/s^2'

Long Term Goals

Split SI only from others
Currency
Information
Split en_US / en_GB
Log units (dB, etc)

Pluggability

Leverage the raku zef module ecosystem to handle dependencies.

In pursuit of:

Speed of core definitions
More independence en_US vs en_GB
New types of definitions (currency, information)
Enabling 3rd party extensions
Internationalization
Multiple systems and domains (see pint default_en.txt)
- en_SI
- en_Liquid (ABV, volumes)
- en_Kitchen (spoons, etc)
- en_Time
- en_CGS
- en_KMS (? needed)
- en_Avoirdupois
- en_Astronomical
- en_Earth (knot, atm)
- en_Green
- en_Chemistry

Internationalization

en_SI Base Units
#viz https://en.wikipedia.org/wiki/Dimensional_analysis#Definition
'Length'      => ['m', 'metre', 'meter',],
'Mass'        => ['kg', 'kilogram',],
'Time'        => ['s', 'sec', 'second',],
'Current'     => ['A', 'amp', 'ampere', 'ampère',],
'Temperature' => ['K', 'kelvin',],
'Substance'   => ['mol', 'mole',],
'Luminosity'  => ['cd', 'candela', 'candle',],
'Angle'		  => ['radian',],

fr_SI / Base, Derived
# Unités de base du SI
# Voir https://fr.wikipedia.org/wiki/Analyse_dimensionnelle#Définition
##revenir aux pluriels algorithmiques
'Longueur'    => ['m', 'mètre',],
'Masse'       => ['kg', 'kilogramme',],
'Temps'       => ['s', 'sec', 'seconde',],
'Courant'     => ['A', 'amp', 'ampère',],
'Température' => ['K', 'kelvin',],
'Substance'   => ['mol', 'mole',],
'Luminosité'  => ['cd', 'candela',],
'Angle'       => ['radian',],


de_SI / Base, Derived
# SI-Basiseinheiten
# Siehe https://de.wikipedia.org/wiki/Dimensionale_Analyse#Definition
##zurück zu algorithmischen Pluralformen
'Länge'        => ['m', 'Meter',],
'Masse'        => ['kg', 'Kilogramm',],
'Zeit'         => ['s', 'sek', 'Sekunde',],
'Stromstärke'  => ['A', 'Amp', 'Ampere',],
'Temperatur'   => ['K', 'Kelvin',],
'Stoffmenge'   => ['mol', 'Mol',],
'Lichtstärke'  => ['cd', 'Candela',],
'Winkel'       => ['Radiant',],

class Longueur is Length {}

```perl6
$ cat Physics.rakumod
unit module Physics;

my class Length {
has Int $.value;
}

my package EXPORT::en {
OUR::<Length> := Length;
}

my package EXPORT::de {
OUR::<Länge> := Length;
}
$ raku -I. -e 'use Physics :en; say Length;'
(Length)
$ raku -I. -e 'use Physics :de; say Länge;'
(Length)

Others

Improved plural automation (internationalization)
Slangify (ie Physics::Measure)