New math subpackage

[4e1e0603]

New "math" subpackage

Work in progress -- it is not intended for merging! See the current branch and notebook

Math changes

• Math related classes moved from core module to the math subpackage (tensor module is still in root the folder`).
• Vector and matrix classes are not inherited from ndarray.
• We use the typing module and type hints compatible with Python 2.7 (as comments). ...

Benchmarks

I plan to write more benchmarks but it seems that pure Python beats Numpy -- it is known that for small dimensions ndarray doesn't speed up the code, quite the opposite.

from apsg import Vec3
​
v1 = Vec3([1, 2, 3])
v2 = Vec3([3, 2, 1])
​
%timeit -r 1000 -n 1000 v1.cross(v2)
53.2 µs ± 4.46 µs per loop (mean ± std. dev. of 1000 runs, 1000 loops each)

from apsg.math import Vector3
​
v1 = Vector3(1, 2, 3)
v2 = Vector3(3, 2, 1)
​
%timeit -r 1000 -n 1000 v1.cross(v2)
9.82 µs ± 1.21 µs per loop (mean ± std. dev. of 1000 runs, 1000 loops each)

Other changes

• The __version__, __author__, __email__ are placed in apsg.__init__.py and parsed in setup.py. Package has not to be installed -- it works well.
• The settings variable moved to setting module in the root folder.
• Interactive mode is started with command apsg -i or apsg --interactive, previously it was ipasg. A help message is printed when apsg is entered without parameters. The shell module content was moved to standard __main__.py. More parameters can be added in the future e.g run in JupyterLab, graphical mode and so on.
• Improved interactive mode banner.

  +------------------------------------------------------------------------------+
  |                           APSG Toolbox | 0.6.1                               |
  |                                                                              |
  |                       http://ondrolexa.github.io/apsg                        |
  |                                                                              |
  |------------------------------------------------------------------------------|
  | You can abort process using CTRL-Z + ENTER                                   |
  +------------------------------------------------------------------------------+
  >>>

  • ...