daamath

daamath is a cross-language math library specification, with implementations in various programming languages:

examples

import daamath as dm

sin = dm.sin.binary64.nearesteven
pi = dm.archimedes.binary64.nearesteven
approx = dm.tilde_tilde

print(dm.ellinika.lower.pi, approx, pi)
# π ≈ 3.141592653589793

print(sin(pi), approx, 0)
# 1.2246467991473532e-16 ≈ 0

features

it provides four useful things in math:

• characters: +, −, ×, ÷, =, %, …
• constants: π, e, φ, √2, i, γ, …
• datatypes: binary64, int32, uint8, bool, complex128, decimal64, …
• functions: sin, log, abs, pow, sqrt, round, …

since it must behave the same in different programming languages, it has some rules:

• no hidden assumptions
• no object-oriented programming
• no impure functions/mutation/side effects
• no keyword arguments
• no optional arguments
• no stateful behaviour
• functions are defined mathematically, not algorithmically
• names are snake_case and start with a letter

to do

• ≈ 25 / 100 math constants implemented
• rename each constant's nearest and residual to nearesteven and residual
• document datatypes
• analyze numerically favourable formulae for complex trig functions
• explore unicode for more interesting characters