A Python 3-dimensional Euclidean vector space.
Project description
PyEVSpace
PyEVSpace is a Python Euclidean vector space package containing types and methods for representing vector quantites and fasilitating rotating them between reference frames. PyEVSpace is designed for 3-dimensional space only, which allows for optimum speed since size checks do not occur.
Documentation
The full documentation of this project with both Python and C APIs can be found here.
Install
The python module can be installed with
pip install pyevspace
Alternatively the repository can be downloaded or cloned using:
git clone https://github.com/qbizzle68/pyevspace.git
It can be used as is within Visual Studio, or built inplace using the setup.py if needed.
Usage
To use the module simply import the pyevspace module into your project:
import pyevspace as evs
from math import pi
vec = evs.Vector(1, 2, 3)
rotatedVec = evs.rotateAxisTo(evs.X_AXIS, pi/2)
Matrices can be created from iterables, where each iterable represents a row of the matrix
import pyevspace as evs
mat = evs.Matrix((0, 0, 1), (0, -1, 0), (1, 0, 0))
rotatedVec = evs.rotateMatrixFrom(mat, Vector(1, 1, 1))
The Order and Angles types can be used to create an Euler rotation matrix. All twelve Euler rotations are already defined in the module, so you shouldn't need to instantiate an Order object. The Angles object holds the angles for each rotation in the Euler rotation, in the order of the axis rotations (in radians).
import pyevspace as evs
angs = Angles(1.1, 4.5, 3.14)
mat = getMatrixEuler(XYZ, angs)
rotatedVec = mat * Vector(1, 0, 2)
There are many methods that handle the rotations for you, check the official documentation to learn more about them.
Examples
Examples of numeric operators
v1 = Vector(1, 2, 3)
v2 = Vector(4, 5, 6)
print(v1 * 2)
# prints [2, 4, 6]
print(v1 + v2)
# prints [5, 7, 9]
print(v1 - v2)
# prints [-3, -3, -3]
Examples of vector and matrix operators
v1 = Vector(1, 2, 3)
v2 = Vector(4, 5, 6)
m1 = Matrix(Vector(4, 2, 3), Vector(8, 5, 2), Vector(4, 2, 1))
print(dot(v1, v2))
# prints 32.0
print(cross(v1, v2))
# prints [ -3.00000, 6.00000, -3.00000 ]
print(det(m1))
# prints -8.0
print(transpose(m1))
# prints
# ([4, 2, 3],
# [8, 5, 2],
# [4, 2, 1])
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