#17618: Update matplotlib so that plot_directive is less broken
-------------------------------------+-------------------------------------
Reporter: tmonteil | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.5
Component: packages: | Resolution:
standard | Merged in:
Keywords: | Reviewers:
Authors: Thierry Monteil | Work issues:
Report Upstream: N/A | Commit:
Branch: u/fbissey/MPL-1.4 | 8ee674d1b6e6bc2e22d7bc9f0ad9af05cce766d5
Dependencies: | Stopgaps:
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Comment (by tmonteil):
I did the following test to compare the new `cubic` interpolation type
with the former `nn`:
Creation of a common test (taken from `discrete_gaussian_lattice.py`
doctest):
{{{
from sage.stats.distributions.discrete_gaussian_lattice import
DiscreteGaussianDistributionLatticeSampler
D = DiscreteGaussianDistributionLatticeSampler(identity_matrix(2), 3.0)
S = [D() for _ in range(2^12)]
l = [vector(v.list() + [S.count(v)]) for v in set(S)]
save(l, '/tmp/vectors.sobj')
}}}
Then, on the former 6.4:
{{{
sage: l = load('/tmp/vectors.sobj')
sage: %timeit P = list_plot3d(l, interpolation_type='linear',
texture="automatic", point_list=True)
100 loops, best of 3: 12.4 ms per loop
}}}
[[Image(6.4_linear.png)]]
{{{
sage: %timeit P = list_plot3d(l, interpolation_type='nn',
texture="automatic", point_list=True)
10 loops, best of 3: 29.8 ms per loop
}}}
[[Image(6.4_nn.png)]]
On the patched 6.5.beta5:
{{{
sage: l = load('/tmp/vectors.sobj')
sage: %timeit P = list_plot3d(l, interpolation_type='linear',
texture="automatic", point_list=True)
100 loops, best of 3: 18.8 ms per loop
}}}
[[Image(6.5_linear.png)]]
{{{
sage: %timeit P = list_plot3d(l, interpolation_type='cubic',
texture="automatic", point_list=True)
1 loops, best of 3: 498 ms per loop
}}}
[[Image(6.5_cubic.png)]]
The generation of the `cubic` interpolation is much (16x) slower that the
`nn` interpolation, and the visual renderings are very different (`nn`
looks more like a smoothed `linear` while `cubic` shows more spots at
lattice points). So, i agree to add the `cubic` interpolation type, but
disagree to let this replace `nn` in existing tests (too different) nor as
becoming the default (too slow).
--
Ticket URL: <http://trac.sagemath.org/ticket/17618#comment:31>
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