vector

An infinite-dimensional vector Python package.

>>> from vector import vecadd
>>> vecadd((1, 2), (4, 5, 6))
(5, 7, 6)
>>> 
>>> from vector import Vector
>>> v = Vector((1, 2))
>>> w = Vector((4, 5, 6))
>>> v + w
Vector(5, 7, 6, ...)
>>> 
>>> from vector import vecnpadd
>>> vecnpadd((1, 2), ((3, 4, 5),
...                   (6, 7, 8)))
array([[4, 6, 5],
       [7, 9, 8]])

Installation

pip install git+https://github.com/goessl/vector.git

Usage

This package includes

general-purpose functions (prefixed vec...) in pure Python,
a clean class (Vector) with easy to use syntax,
improved numpy-routines (prefixed vecnp...) for parallelised operations &
tensor functions (prefixed ten...) for multiaxis operations

to handle type-independent, infinite-dimensional vectors. It operates on vectors of different lengths, treating them as infinite-dimensional by assuming that all components after the given ones are zero.

Operation	Functional	Object-oriented	Parallelised	Multidimensional
creation
zero	`veczero`	`Vector.ZERO`	`vecnpzero`	`tenzero`
basis	`vecbasis`	`Vector`	`vecnpbasis`	`tenbasis`
rand	`vecrand`	`Vector.rand`	`vecnprand`	`tenrand`
randn	`vecrandn`	`Vector.randn`	`vecnprandn`	`tenrandn`
utility
dimensionality		`len`	`vecnpdim`	`tendim`
rank				`tenrank`
comparison	`veceq`	`==`	`vecnpeq`
trimming	`vectrim`	`.trim`	`vecnptrim`	`tentrim`
rounding	`vecround`	`.round`	`vecnpround`	`tenround`
shifting	`vecrshift`, `veclshift`	`>>`, `<<`
Hilbert space
norm	`vecabsq`	`.absq`	`vecnpabsq`
norm squared	`vecabs`	`abs`	`vecnpabs`
dot	`vecdot`	`@`	`vecnpdot`
parallelism	`vecparallel`	`.is_parallel`	`vecnpparallel`
vector space
positive	`vecpos`	`+`	`vecnppos`	`tenpos`
negative	`vecneg`	`-`	`vecnpneg`	`tenneg`
addition	`vecadd`	`+`	`vecnpadd`	`tenadd`
basis addition	`vecaddc`	`.addc`		`tenaddc`
subtraction	`vecsub`	`-`	`vecnpsub`	`tensub`
multiplication	`vecmul`	`*`	`vecnpmul`	`tenmul`
true division	`vectruediv`	`/`	`vecnptruediv`	`tentruediv`
floor division	`vecfloordiv`	`//`	`vecnpfloordiv`	`tenfloordiv`
mod	`vecmod`	`%`	`vecnpmod`	`tenmod`
elementwise
multiplication	`vechadamard`	`.hadamard`		`tenhadamard`
true division	`vechadamardtruediv`	`.hadamardtruediv`		`tenhadamardtruediv`
floor division	`vechadamardfloordiv`	`.hadamardfloordiv`		`tenhadamardfloordiv`
mod	`vechadamardmod`	`.hadamardmod`		`tenhadamardmod`
min	`vechadamardmin`	`.hadamardmin`
max	`vechadamardmax`	`.hadamardmax`

todo

[x] zip version between zip & zip_longest. Yields different sized tuples. Done: goessl/zipvar
[x] docstrings
[x] numpy routines
[x] multiaxis vectors: tensors?
[ ] never use numpy.int64, they don't detect overflows
[ ] sparse vectors (dicts)

License (MIT)

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.