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Micro-optimize rotation transform.#22108

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timhoffm merged 1 commit intomatplotlib:mainfromanntzer:fr
Jan 5, 2022
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anntzer
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The following test script shows a ~3x speedup.

importmath,numpyasnpmtx=np.array([[.1,.2,.3], [.4,.5,.6], [0,0,1]])theta=np.pi/4defrotate(mtx,theta):a=math.cos(theta)b=math.sin(theta)rotate_mtx=np.array([[a,-b,0.0], [b,a,0.0], [0.0,0.0,1.0]],float)returnnp.dot(rotate_mtx,mtx)defrfast(mtx,theta):a=math.cos(theta)b=math.sin(theta)    (xx,xy,x0), (yx,yy,y0),_=mtx.tolist()# mtx = [[a -b 0], [b a 0], [0 0 1]] * mtxmtx[0,0]=a*xx-b*yxmtx[0,1]=a*xy-b*yymtx[0,2]=a*x0-b*y0mtx[1,0]=b*xx+a*yxmtx[1,1]=b*xy+a*yymtx[1,2]=b*x0+a*y0returnmtx%timeitrotate(mtx,theta)%timeitrfast(mtx,theta)

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PR Checklist

Tests and Styling

  • Has pytest style unit tests (andpytest passes).
  • IsFlake 8 compliant (installflake8-docstrings and runflake8 --docstring-convention=all).

Documentation

  • New features are documented, with examples if plot related.
  • New features have an entry indoc/users/next_whats_new/ (follow instructions in README.rst there).
  • API changes documented indoc/api/next_api_changes/ (follow instructions in README.rst there).
  • Documentation is sphinx and numpydoc compliant (the docs shouldbuild without error).

The following test script shows a ~3x speedup.```pythonimport math, numpy as npmtx = np.array([[.1, .2, .3], [.4, .5, .6], [0, 0, 1]])theta = np.pi / 4def rotate(mtx, theta):    a = math.cos(theta)    b = math.sin(theta)    rotate_mtx = np.array([[a, -b, 0.0], [b, a, 0.0], [0.0, 0.0, 1.0]],                          float)    return np.dot(rotate_mtx, mtx)def rfast(mtx, theta):    a = math.cos(theta)    b = math.sin(theta)    (xx, xy, x0), (yx, yy, y0), _ = mtx.tolist()    # mtx = [[a -b 0], [b a 0], [0 0 1]] * mtx    mtx[0, 0] = a * xx - b * yx    mtx[0, 1] = a * xy - b * yy    mtx[0, 2] = a * x0 - b * y0    mtx[1, 0] = b * xx + a * yx    mtx[1, 1] = b * xy + a * yy    mtx[1, 2] = b * x0 + a * y0    return mtx%timeit rotate(mtx, theta)%timeit rfast(mtx, theta)```
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mtx isn't a pointer, is it?

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anntzer commentedJan 5, 2022
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It is. (Or rather, modifications are done in place.)

@tacaswelltacaswell added this to thev3.6.0 milestoneJan 5, 2022
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@anntzer

Some notes, possibly for follow-ups:

  • skew() could also be rewritten to be element-wise
  • Does it still make sense to keepAffine2D._mtx as a numpy array if we only do element-wise operations?

@timhoffmtimhoffm merged commit45de25e intomatplotlib:mainJan 5, 2022
@anntzeranntzer deleted the fr branchJanuary 5, 2022 22:44
@anntzeranntzer mentioned this pull requestJan 5, 2022
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