commit 9505a92e457dc0bda591477fabab61c63af6a17f Author: Louis Burke Date: Wed Mar 27 01:25:49 2024 -0400 Initial commit. diff --git a/Manifest.toml b/Manifest.toml new file mode 100644 index 0000000..41747ff --- /dev/null +++ b/Manifest.toml @@ -0,0 +1,209 @@ +# This file is machine-generated - editing it directly is not advised + +julia_version = "1.10.0" +manifest_format = "2.0" +project_hash = "330ae72911c5e15b75d63a69bc945ccbce1e0db0" + +[[deps.ArgTools]] +uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f" +version = "1.1.1" + +[[deps.Artifacts]] +uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33" + +[[deps.Base64]] +uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f" + +[[deps.CodeTracking]] +deps = ["InteractiveUtils", "UUIDs"] +git-tree-sha1 = "c0216e792f518b39b22212127d4a84dc31e4e386" +uuid = "da1fd8a2-8d9e-5ec2-8556-3022fb5608a2" +version = "1.3.5" + +[[deps.CompilerSupportLibraries_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae" +version = "1.0.5+1" + 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"8e850b90-86db-534c-a0d3-1478176c7d93" +version = "5.8.0+1" + +[[deps.nghttp2_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d" +version = "1.52.0+1" + +[[deps.p7zip_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0" +version = "17.4.0+2" diff --git a/Project.toml b/Project.toml new file mode 100644 index 0000000..29c5ecd --- /dev/null +++ b/Project.toml @@ -0,0 +1,8 @@ +name = "IIPAU" +uuid = "213df8b5-502b-4410-90c7-22a71c9caf95" +authors = ["Louis Burke "] +version = "0.1.0" + +[deps] +Revise = "295af30f-e4ad-537b-8983-00126c2a3abe" +Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d" diff --git a/src/IIPAU.jl b/src/IIPAU.jl new file mode 100644 index 0000000..0fd3f3a --- /dev/null +++ b/src/IIPAU.jl @@ -0,0 +1,194 @@ +# Useful information: +# +# https://en.wikipedia.org/wiki/List_of_physical_quantities +# https://www.themeasureofthings.com/ +# +# "free" Unitful units: efijno r v xzDEIOQUXZ | +# "used" Unitful units: e i p t w | +module IIPAU + +import Unitful +using Unitful: @unit, @affineunit, @u_str +export item +export @b6_str +export yocte, zepte, atte, femte, pice, nane, micre, mille, cente, dice +export yotte, zette, exe, pete, tere, gige, mege, kile, hecte, dece + +export pace, tick, egg + + +function __init__() + Unitful.register(IIPAU) +end +#Unitful.register(IIPAU) + +# Additional Constants +kₑ = 8987551792u"N*m^2/C^2" +mₑ = 9.109e-31u"kg" +mᵤ = 1.6605390666e-27u"kg" +mₙ = 1.674927498e-27u"kg" +kb = 1.380649e-23u"J/K" +ϵ₀ = 8.854e-12u"F/m" + +# Natural Units +@unit lₛ "lₛ" StoneyLength (sqrt(Unitful.G * kₑ * Unitful.q^2 / Unitful.c^4) |> Unitful.upreferred) false +@unit mₛ "mₛ" StoneyMass (sqrt(kₑ * Unitful.q^2 / Unitful.G) |> Unitful.upreferred) false +@unit tₛ "tₛ" StoneyTime (sqrt(Unitful.G * kₑ * Unitful.q^2 / Unitful.c^6) |> Unitful.upreferred) false + +@unit lₚ "lₚ" PlanckLength sqrt(Unitful.ħ * Unitful.G / Unitful.c^3) false +@unit mₚ "mₚ" PlanckMass sqrt(Unitful.ħ * Unitful.c / Unitful.G) false +@unit tₚ "tₚ" PlanckTime sqrt(Unitful.ħ * Unitful.G / Unitful.c^5) false +@unit Tₚ "Tₚ" PlanckTemperature sqrt(Unitful.ħ * Unitful.c ^ 5 / (Unitful.G * Unitful.k ^ 2)) false +@unit qₚ "qₚ" Planckcharge sqrt(4π * Unitful.ϵ0 * Unitful.ħ * Unitful.c) false +@unit Qₚ "Qₚ" PlanckCharge sqrt(Unitful.ϵ0 * Unitful.ħ * Unitful.c) false +item = @unit count "count" Count (1 / Unitful.Na) false + +# Senary prefixes +function base6(number::AbstractString) + if occursin('e', number) + (digits, exponent) = split(number, 'e') + else + (digits, exponent) = (number, "0") + end + + if occursin('.', digits) + value = parse(BigFloat, digits, base=6) + else + value = parse(BigInt, digits, base=6) + end + + expval = parse(Int, exponent, base=6) + + if expval < 0 + return 1 // (value * BigInt(6) ^ (-expval)) + else + return value * BigInt(6) ^ expval + end +end + +macro b6_str(digits) + value = base6(digits) + + return :( $value ) +end + +yocte = b6"1e-52" # y | +zepte = b6"1e-44" # z | +atte = b6"1e-40" # a | +femte = b6"1e-32" # f | +pice = b6"1e-24" # p | +nane = b6"1e-20" # n | +micre = b6"1e-12" # μ | +mille = b6"1e-4" # m | +cente = b6"1e-2" # c | +dice = b6"1e-1" # d | +dece = b6"1e1" # de | +hecte = b6"1e2" # h | +kile = b6"1e4" # k | +mege = b6"1e12" # M | +gige = b6"1e20" # G | +tere = b6"1e24" # T | +pete = b6"1e32" # P | +exe = b6"1e40" # E | +zette = b6"1e44" # Z | +yotte = b6"1e52" # Y | + +# TODO: consider scaling instants up, using moment for the base unit at a more +# human timescale + +# Base Units +pace = 1@unit p "p" Pace (lₛ * b6"1e114") false # ~86cm +tick = 1@unit t "t" Tick (tₛ * b6"3e132") false # ~0.52s = 300₆ instants (1/tick ~115bpm) +egg = 1@unit e "e" Egg (mₛ * b6"1e14") false # ~112g +jolt = 1@unit j "j" Jolt (b6"1e34" * Unitful.q / tick) false # ~40mA painful jolt (https://electronics.stackexchange.com/questions/19103/how-much-voltage-current-is-dangerous) + +# Convenience Units +instant = 1@unit i "i" Instant (tₛ * b6"1e130") false # ~5ms (1000₆ instants is about a second) +# TODO: larger chunks of meaningful time (akin to minutes/hours) +# TODO: name ~0.5L which is a mille pace^3? + +# Derived Units +walk = 1@unit w "w" Walk (1 * pace / tick) false # ~6km/h (pretty quick walk) +touch = 1@unit ṫ "ṫ" Touch (1 * egg * pace / tick ^ 2) false # ~0.36N (half what it takes to press a key on a keyboard) + +#= Useful Constants ============================================================ + Earth's gravitational constant: gₑ ≈ 3₆p/t² + Speed of light: c ≡ 3e14₆p/t +===============================================================================# + +#= +export stride, skip, bed, gulp +export moment, instant, wait +export amble, shot +export ball +export brr +export press, bite, snack +export jolt +export lotta, alotta + +# Lengths (root unit: skip) +skip = 1@unit sk "sk" Skip (lₚ * b6"1e112") false # ~28cm +stride = 1@unit st "st" Stride (dece * skip) false # ~1.7m +sprint = 1@unit sp "sp" Sprint (kile * skip) false # ~360m +# Note: a kile stride is about 1 nautical mile + +# Areas (root unit: paper) +paper = 1@unit pa "pa" Paper (skip * skip) false # ~0.08m² +bed = 1@unit bd "bd" Bed (stride * stride) false # ~2.8m² + +# Volumes (root unit: gulp) +gulp = 1@unit gu "gu" Gulp ((dice * IIPAU.skip) ^ 3) false # ~100 mL + +# Durations (root unit: instant) +instant = 1@unit in "in" Instant (tₚ * b6"1e131") false # ~1/3s +moment = 1@unit mo "mo" Moment (dece * instant) false # ~2s +wait = 1@unit w "w" Wait (kile * moment) false # ~43.9 minutes + +# Speed (root unit: amble) +amble = 1@unit amb "amb" Amble (skip / instant) false # ~3km/h +shot = 1@unit sh "sh" Shot (kile * amble) false # ~1km/s (bullet speed) + +# Mass (root unit: ball) +ball = 1@unit bl "bl" Ball (mₚ * b6"1.0e13") false # ~200g (note: Float to fix Int64 overflow) + +# Temperate (root unit: brr, base unit degree of comfort) +brr = 1@unit br "br" Brr (Tₚ * b6"1e-110") false # ~0.3K +@affineunit °c "°c" (Int(b6"4400") * brr) # ~13°C -> 0°c +# This sets up that 0 is uncomfortably cold, 100₆ is comfortable, and 200₆ is +# uncomfortably warm (13, 23.5, 34)°C respectively + +# Force (root unit: press) +press = 1@unit pr "pr" Press (ball * skip / instant^2) false # ~0.5N (key press on keyboard) + +# NOTE: 1bi / Mto = 1st, aka a bite is one megatouch stride (or a kileshove stride) +# NOTE: 1sn / Mpr = 1sk, aka a snack is one megepress skip + +# Energy (root unit: snack) +snack = 1@unit sn "sn" Snack (b6"1.0e12" * press * skip) false # ~60cal +bite = 1@unit bi "bi" Bite (dice * snack) false # ~10cal + +# Electricity, based on a common static shock +# ~0-2mJ / ~1-5KV = ~5e-8 to 5e-7C + +# Charge (root unit: jolt) +jolt = 1@unit jo "jo" Jolt (b6"1e23" * Unitful.q) false # ~7.5e-8C (a moderate static shock of charge) + +# TODO: Voltage and consider charge in lotta electron charges (q in Unitful +# [leads to about 2e7C, which is a lot, but might make cleaner 'volts']) +# or consider using resistivity or conductivity of something common? +temp = 1@unit tmp "tmp" Temp (jolt / moment) false + +# "Count" (root unit: lotta [mole equivalent]) ~1.32e26 +lotta = 1@unit lo "lo" Lotta (1u"mol" * 1u"bl" / 1u"g") false # ~220mol +alotta = (1u"lo" |> item).val # ~1.32e26 + +function prefer_iipau() + Unitful.preferunits(u"sk,mo,bl,br,lo,tmp"...) +end + +function prefer_natural() + Unitful.preferunits(u"lₚ,mₚ,tₚ,Tₚ,qₚ,Qₚ,count"...) +end +=# + +end # module IIPAU