Quantities in JAX
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unxt
Unitful Quantities in JAX
Unxt is unitful quantities and calculations in JAX, built on Equinox and Quax.
Yes, it supports auto-differentiation (grad, jacobian, hessian) and
vectorization (vmap, etc).
Installation
pip install unxt
Documentation
Quick example
from unxt import Quantity
x = Quantity(jnp.arange(1, 5, dtype=float), "kpc")
print(x)
# Quantity['length'](Array([1., 2., 3., 4.], dtype=float64), unit='kpc')
# Addition / Subtraction
print(x + x)
# Quantity['length'](Array([2., 4., 6., 8.], dtype=float64), unit='kpc')
# Multiplication / Division
print(2 * x)
# Quantity['length'](Array([2., 4., 6., 8.], dtype=float64), unit='kpc')
y = Quantity(jnp.arange(4, 8, dtype=float), "Gyr")
print(x / y)
# Quantity['speed'](Array([0.25 , 0.4 , 0.5 , 0.57142857], dtype=float64), unit='kpc / Gyr')
# Exponentiation
print(x**2)
# Quantity['area'](Array([0., 1., 4., 9.], dtype=float64), unit='kpc2')
# Unit Checking on operations
try:
x + y
except Exception as e:
print(e)
# 'Gyr' (time) and 'kpc' (length) are not convertible
unxt is built on quax, which
enables custom array-ish objects in JAX. For convenience we use the
quaxed library, which is just a
quax.quaxify wrapper around jax to avoid boilerplate code.
from quaxed import grad, vmap
import quaxed.numpy as jnp
print(jnp.square(x))
# Quantity['area'](Array([ 1., 4., 9., 16.], dtype=float64), unit='kpc2')
print(qnp.power(x, 3))
# Quantity['volume'](Array([ 1., 8., 27., 64.], dtype=float64), unit='kpc3')
print(vmap(grad(lambda x: x**3))(x))
# Quantity['area'](Array([ 3., 12., 27., 48.], dtype=float64), unit='kpc2')
Since Quantity is parametric, it can do runtime dimension checking!
LengthQuantity = Quantity["length"]
print(LengthQuantity(2, "km"))
# Quantity['length'](Array(2, dtype=int64, weak_type=True), unit='km')
try:
LengthQuantity(2, "s")
except ValueError as e:
print(e)
# Physical type mismatch.
Citation
If you found this library to be useful and want to support the development and maintenance of lower-level code libraries for the scientific community, please consider citing this work.
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