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SF.net SVN: matplotlib:[8921] trunk/matplotlib
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From: <ef...@us...> - 2011-01-16 01:09:15
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Revision: 8921
http://matplotlib.svn.sourceforge.net/matplotlib/?rev=8921&view=rev
Author: efiring
Date: 2011-01-16 01:09:08 +0000 (Sun, 16 Jan 2011)
Log Message:
-----------
Merged revisions 8920 via svnmerge from
https://matplotlib.svn.sourceforge.net/svnroot/matplotlib/branches/v1_0_maint
........
r8920 | efiring | 2011-01-15 15:00:37 -1000 (Sat, 15 Jan 2011) | 8 lines
Change pcolor and contourf default antialiasing to False; closes 3151847.
To avoid misplaced boundaries and artifacts with alpha < 1, we do not
stroke the pcolor and contourf patch boundaries by default; but without
that stroking, antialiasing produces boundary artifacts that tend to
be visually disturbing. Therefore we sacrifice antialiasing for these
patches.
........
Modified Paths:
--------------
trunk/matplotlib/lib/matplotlib/axes.py
trunk/matplotlib/lib/matplotlib/contour.py
Property Changed:
----------------
trunk/matplotlib/
trunk/matplotlib/doc/pyplots/README
trunk/matplotlib/doc/sphinxext/gen_gallery.py
trunk/matplotlib/doc/sphinxext/gen_rst.py
trunk/matplotlib/examples/misc/multiprocess.py
trunk/matplotlib/examples/mplot3d/contour3d_demo.py
trunk/matplotlib/examples/mplot3d/contourf3d_demo.py
trunk/matplotlib/examples/mplot3d/polys3d_demo.py
trunk/matplotlib/examples/mplot3d/scatter3d_demo.py
trunk/matplotlib/examples/mplot3d/surface3d_demo.py
trunk/matplotlib/examples/mplot3d/wire3d_demo.py
trunk/matplotlib/lib/matplotlib/sphinxext/mathmpl.py
trunk/matplotlib/lib/matplotlib/sphinxext/only_directives.py
trunk/matplotlib/lib/matplotlib/sphinxext/plot_directive.py
trunk/matplotlib/lib/matplotlib/tests/baseline_images/test_spines/spines_axes_positions.png
Property changes on: trunk/matplotlib
___________________________________________________________________
Modified: svnmerge-integrated
- /branches/mathtex:1-7263 /branches/v0_91_maint:1-6428 /branches/v0_98_5_maint:1-7253 /branches/v1_0_maint:1-8917 /trunk/matplotlib:1-7315
+ /branches/mathtex:1-7263 /branches/v0_91_maint:1-6428 /branches/v0_98_5_maint:1-7253 /branches/v1_0_maint:1-8920 /trunk/matplotlib:1-7315
Modified: svn:mergeinfo
- /branches/v0_91_maint:5753-5771
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Property changes on: trunk/matplotlib/doc/pyplots/README
___________________________________________________________________
Modified: svn:mergeinfo
- /branches/v0_98_5_maint/doc/pyplots/README:6581,6585,6587,6589-6609,6614,6616,6625,6652,6660-6662,6672-6673,6714-6715,6717-6732,6752-6754,6761-6773,6781,6792,6800,6802,6805,6822,6827,6850,6854,6856,6859,6861-6873,6883-6884,6886,6890-6891,6911-6912,6915-6916,6918,6920-6925,6927-6928,6934,6941,6946,6948,6950,6952,6960,6972,6984-6985,6990,6995,6997-7001,7014,7016,7018,7024-7025,7033,7035,7042,7072,7080,7176,7209-7211,7227,7245
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Property changes on: trunk/matplotlib/doc/sphinxext/gen_gallery.py
___________________________________________________________________
Modified: svn:mergeinfo
- /branches/v0_91_maint/doc/_templates/gen_gallery.py:5753-5771
/branches/v0_98_5_maint/doc/sphinxext/gen_gallery.py:6660-6662,6672-6673,6714-6715,6717-6732,6752-6754,6761-6773,6781,6792,6800,6802,6805,6822,6827,6850,6854,6856,6859,6861-6873,6883-6884,6886,6890-6891,6911-6912,6915-6916,6918,6920-6925,6927-6928,6934,6941,6946,6948,6950,6952,6960,6972,6984-6985,6990,6995,6997-7001,7014,7016,7018,7024-7025,7033,7035,7042,7072,7080,7176,7209-7211,7227,7245
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Property changes on: trunk/matplotlib/doc/sphinxext/gen_rst.py
___________________________________________________________________
Modified: svn:mergeinfo
- /branches/v0_91_maint/doc/examples/gen_rst.py:5753-5771
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Property changes on: trunk/matplotlib/examples/misc/multiprocess.py
___________________________________________________________________
Modified: svn:mergeinfo
- /branches/v0_91_maint/examples/misc/log.py:5753-5771
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/branches/v1_0_maint/examples/mplot3d/scatter3d_demo.py:8521,8524-8541,8543,8549,8554,8557,8559-8564,8566,8573,8575,8577,8579,8581,8583,8585,8588,8590,8593,8595,8601,8603,8610,8614,8627-8628,8630,8632,8643,8645,8647-8667,8673,8675,8677,8679,8690-8697,8704,8706,8708,8714-8715,8717-8720,8722-8725,8732-8734,8747,8764,8769-8770,8772,8774,8776,8778,8780,8785,8788,8790,8794,8798-8799,8808,8815,8830,8835,8841-8842,8844-8846,8870-8899,8902-8906,8908,8911,8920
Property changes on: trunk/matplotlib/examples/mplot3d/surface3d_demo.py
___________________________________________________________________
Modified: svn:mergeinfo
- /branches/v0_91_maint/examples/mplot3d/surface.py:5753-5771
/branches/v0_98_5_maint/examples/mplot3d/surface.py:6581,6585,6587,6589-6609,6614,6616,6625,6652,6660-6662,6672-6673,6714-6715,6717-6732,6752-6754,6761-6773,6781,6792,6800,6802,6805,6809,6811,6822,6827,6850,6854,6856,6859,6861-6873,6883-6884,6886,6890-6891,6906-6909,6911-6912,6915-6916,6918,6920-6925,6927-6928,6934,6941,6946,6948,6950,6952,6960,6972,6984-6985,6990,6995,6997-7001,7014,7016,7018,7024-7025,7033,7035,7042,7072,7080
/branches/v0_99_maint/examples/mplot3d/surface3d_demo.py:7323-7338,7393,7395-7404,7407-7424,7428-7433,7442-7444,7446,7475-7482,7484,7486,7489-7523,7567,7569,7582-7584,7616-7618,7633,7638,7703,7727-7734,7740-7741,7745,7751,7756,7762,7770,7772,7774,7776-7778,7780,7784,7788,7790,7792,7794,7796,7800,7803,7808,7822,7827,7834,7837,7844,7846-7847,7849,7858,7864,7866-7867,7874,7884,7896,7901-7903,7916,7919,7924,7928,7944,7952,7970,7972,7981,7983,7989-7991,7998,8001,8003,8016-8057,8068,8070,8092-8116,8121-8135
/branches/v1_0_maint/examples/mplot3d/surface3d_demo.py:8521,8524-8541,8543,8549,8554,8557,8559-8564,8566,8573,8575,8577,8579,8581,8583,8585,8588,8590,8593,8595,8601,8603,8610,8614,8627-8628,8630,8632,8643,8645,8647-8667,8673,8675,8677,8679,8690-8697,8704,8706,8708,8714-8715,8717-8720,8722-8725,8732-8734,8747,8764,8769-8770,8772,8774,8776,8778,8780,8785,8788,8790,8794,8798-8799,8808,8815,8830,8835,8841-8842,8844-8846,8870-8899,8902-8906,8908,8911
+ /branches/v0_91_maint/examples/mplot3d/surface.py:5753-5771
/branches/v0_98_5_maint/examples/mplot3d/surface.py:6581,6585,6587,6589-6609,6614,6616,6625,6652,6660-6662,6672-6673,6714-6715,6717-6732,6752-6754,6761-6773,6781,6792,6800,6802,6805,6809,6811,6822,6827,6850,6854,6856,6859,6861-6873,6883-6884,6886,6890-6891,6906-6909,6911-6912,6915-6916,6918,6920-6925,6927-6928,6934,6941,6946,6948,6950,6952,6960,6972,6984-6985,6990,6995,6997-7001,7014,7016,7018,7024-7025,7033,7035,7042,7072,7080
/branches/v0_99_maint/examples/mplot3d/surface3d_demo.py:7323-7338,7393,7395-7404,7407-7424,7428-7433,7442-7444,7446,7475-7482,7484,7486,7489-7523,7567,7569,7582-7584,7616-7618,7633,7638,7703,7727-7734,7740-7741,7745,7751,7756,7762,7770,7772,7774,7776-7778,7780,7784,7788,7790,7792,7794,7796,7800,7803,7808,7822,7827,7834,7837,7844,7846-7847,7849,7858,7864,7866-7867,7874,7884,7896,7901-7903,7916,7919,7924,7928,7944,7952,7970,7972,7981,7983,7989-7991,7998,8001,8003,8016-8057,8068,8070,8092-8116,8121-8135
/branches/v1_0_maint/examples/mplot3d/surface3d_demo.py:8521,8524-8541,8543,8549,8554,8557,8559-8564,8566,8573,8575,8577,8579,8581,8583,8585,8588,8590,8593,8595,8601,8603,8610,8614,8627-8628,8630,8632,8643,8645,8647-8667,8673,8675,8677,8679,8690-8697,8704,8706,8708,8714-8715,8717-8720,8722-8725,8732-8734,8747,8764,8769-8770,8772,8774,8776,8778,8780,8785,8788,8790,8794,8798-8799,8808,8815,8830,8835,8841-8842,8844-8846,8870-8899,8902-8906,8908,8911,8920
Property changes on: trunk/matplotlib/examples/mplot3d/wire3d_demo.py
___________________________________________________________________
Modified: svn:mergeinfo
- /branches/v0_91_maint/examples/mplot3d/wire.py:5753-5771
/branches/v0_98_5_maint/examples/mplot3d/wire.py:6581,6585,6587,6589-6609,6614,6616,6625,6652,6660-6662,6672-6673,6714-6715,6717-6732,6752-6754,6761-6773,6781,6792,6800,6802,6805,6809,6811,6822,6827,6850,6854,6856,6859,6861-6873,6883-6884,6886,6890-6891,6906-6909,6911-6912,6915-6916,6918,6920-6925,6927-6928,6934,6941,6946,6948,6950,6952,6960,6972,6984-6985,6990,6995,6997-7001,7014,7016,7018,7024-7025,7033,7035,7042,7072,7080
/branches/v0_99_maint/examples/mplot3d/wire3d_demo.py:7323-7338,7393,7395-7404,7407-7424,7428-7433,7442-7444,7446,7475-7482,7484,7486,7489-7523,7567,7569,7582-7584,7616-7618,7633,7638,7703,7727-7734,7740-7741,7745,7751,7756,7762,7770,7772,7774,7776-7778,7780,7784,7788,7790,7792,7794,7796,7800,7803,7808,7822,7827,7834,7837,7844,7846-7847,7849,7858,7864,7866-7867,7874,7884,7896,7901-7903,7916,7919,7924,7928,7944,7952,7970,7972,7981,7983,7989-7991,7998,8001,8003,8016-8057,8068,8070,8092-8116,8121-8135
/branches/v1_0_maint/examples/mplot3d/wire3d_demo.py:8521,8524-8541,8543,8549,8554,8557,8559-8564,8566,8573,8575,8577,8579,8581,8583,8585,8588,8590,8593,8595,8601,8603,8610,8614,8627-8628,8630,8632,8643,8645,8647-8667,8673,8675,8677,8679,8690-8697,8704,8706,8708,8714-8715,8717-8720,8722-8725,8732-8734,8747,8764,8769-8770,8772,8774,8776,8778,8780,8785,8788,8790,8794,8798-8799,8808,8815,8830,8835,8841-8842,8844-8846,8870-8899,8902-8906,8908,8911
+ /branches/v0_91_maint/examples/mplot3d/wire.py:5753-5771
/branches/v0_98_5_maint/examples/mplot3d/wire.py:6581,6585,6587,6589-6609,6614,6616,6625,6652,6660-6662,6672-6673,6714-6715,6717-6732,6752-6754,6761-6773,6781,6792,6800,6802,6805,6809,6811,6822,6827,6850,6854,6856,6859,6861-6873,6883-6884,6886,6890-6891,6906-6909,6911-6912,6915-6916,6918,6920-6925,6927-6928,6934,6941,6946,6948,6950,6952,6960,6972,6984-6985,6990,6995,6997-7001,7014,7016,7018,7024-7025,7033,7035,7042,7072,7080
/branches/v0_99_maint/examples/mplot3d/wire3d_demo.py:7323-7338,7393,7395-7404,7407-7424,7428-7433,7442-7444,7446,7475-7482,7484,7486,7489-7523,7567,7569,7582-7584,7616-7618,7633,7638,7703,7727-7734,7740-7741,7745,7751,7756,7762,7770,7772,7774,7776-7778,7780,7784,7788,7790,7792,7794,7796,7800,7803,7808,7822,7827,7834,7837,7844,7846-7847,7849,7858,7864,7866-7867,7874,7884,7896,7901-7903,7916,7919,7924,7928,7944,7952,7970,7972,7981,7983,7989-7991,7998,8001,8003,8016-8057,8068,8070,8092-8116,8121-8135
/branches/v1_0_maint/examples/mplot3d/wire3d_demo.py:8521,8524-8541,8543,8549,8554,8557,8559-8564,8566,8573,8575,8577,8579,8581,8583,8585,8588,8590,8593,8595,8601,8603,8610,8614,8627-8628,8630,8632,8643,8645,8647-8667,8673,8675,8677,8679,8690-8697,8704,8706,8708,8714-8715,8717-8720,8722-8725,8732-8734,8747,8764,8769-8770,8772,8774,8776,8778,8780,8785,8788,8790,8794,8798-8799,8808,8815,8830,8835,8841-8842,8844-8846,8870-8899,8902-8906,8908,8911,8920
Modified: trunk/matplotlib/lib/matplotlib/axes.py
===================================================================
--- trunk/matplotlib/lib/matplotlib/axes.py 2011-01-16 01:00:37 UTC (rev 8920)
+++ trunk/matplotlib/lib/matplotlib/axes.py 2011-01-16 01:09:08 UTC (rev 8921)
@@ -6934,14 +6934,14 @@
%(PolyCollection)s
- Note: the default *antialiaseds* is taken from
+ Note: the default *antialiaseds* is False if the default
+ *edgecolors*="none" is used. This eliminates artificial lines
+ at patch boundaries, and works regardless of the value of
+ alpha. If *edgecolors* is not "none", then the default
+ *antialiaseds* is taken from
rcParams['patch.antialiased'], which defaults to *True*.
- In some cases, particularly if *alpha* is 1,
- you may be able to reduce rendering artifacts (light or
- dark patch boundaries) by setting it to *False*. An
- alternative it to set *edgecolors* to 'face'. Unfortunately,
- there seems to be no single combination of parameters that
- eliminates artifacts under all conditions.
+ Stroking the edges may be preferred if *alpha* is 1, but
+ will cause artifacts otherwise.
"""
@@ -6990,22 +6990,29 @@
C = compress(ravelmask, ma.filled(C[0:Ny-1,0:Nx-1]).ravel())
+ linewidths = (0.25,)
+ if 'linewidth' in kwargs:
+ kwargs['linewidths'] = kwargs.pop('linewidth')
+ kwargs.setdefault('linewidths', linewidths)
+
if shading == 'faceted':
edgecolors = 'k',
else:
edgecolors = 'none'
- linewidths = (0.25,)
- # Not sure if we want to have the following, or just trap
- # invalid kwargs and raise an exception.
if 'edgecolor' in kwargs:
kwargs['edgecolors'] = kwargs.pop('edgecolor')
- if 'linewidth' in kwargs:
- kwargs['linewidths'] = kwargs.pop('linewidth')
+ ec = kwargs.setdefault('edgecolors', edgecolors)
+
+ # aa setting will default via collections to patch.antialiased
+ # unless the boundary is not stroked, in which case the
+ # default will be False; with unstroked boundaries, aa
+ # makes artifacts that are often disturbing.
if 'antialiased' in kwargs:
kwargs['antialiaseds'] = kwargs.pop('antialiased')
- kwargs.setdefault('edgecolors', edgecolors)
- kwargs.setdefault('linewidths', linewidths)
+ if 'antialiaseds' not in kwargs and ec.lower() == "none":
+ kwargs['antialiaseds'] = False
+
collection = mcoll.PolyCollection(verts, **kwargs)
collection.set_alpha(alpha)
Modified: trunk/matplotlib/lib/matplotlib/contour.py
===================================================================
--- trunk/matplotlib/lib/matplotlib/contour.py 2011-01-16 01:00:37 UTC (rev 8920)
+++ trunk/matplotlib/lib/matplotlib/contour.py 2011-01-16 01:09:08 UTC (rev 8921)
@@ -662,7 +662,14 @@
self.colors = kwargs.get('colors', None)
norm = kwargs.get('norm', None)
self.extend = kwargs.get('extend', 'neither')
- self.antialiased = kwargs.get('antialiased', True)
+ self.antialiased = kwargs.get('antialiased', None)
+ if self.antialiased is None and self.filled:
+ self.antialiased = False # eliminate artifacts; we are not
+ # stroking the boundaries.
+ # The default for line contours will be taken from
+ # the LineCollection default, which uses the
+ # rcParams['lines.antialiased']
+
self.nchunk = kwargs.get('nchunk', 0)
self.locator = kwargs.get('locator', None)
if (isinstance(norm, colors.LogNorm)
@@ -734,11 +741,15 @@
tlinewidths = self._process_linewidths()
self.tlinewidths = tlinewidths
tlinestyles = self._process_linestyles()
+ aa = self.antialiased
+ if aa is not None:
+ aa = (self.antialiased,)
for level, width, lstyle, segs in \
zip(self.levels, tlinewidths, tlinestyles, self.allsegs):
# Default zorder taken from LineCollection
zorder = kwargs.get('zorder', 2)
col = collections.LineCollection(segs,
+ antialiaseds = aa,
linewidths = width,
linestyle = lstyle,
alpha=self.alpha,
@@ -1358,6 +1369,10 @@
Override axis units by specifying an instance of a
:class:`matplotlib.units.ConversionInterface`.
+ *antialiased*: [ True | False ]
+ enable antialiasing, overriding the defaults. For
+ filled contours, the default is True. For line contours,
+ it is taken from rcParams['lines.antialiased'].
contour-only keyword arguments:
@@ -1385,9 +1400,6 @@
contourf-only keyword arguments:
- *antialiased*: [ True | False ]
- enable antialiasing
-
*nchunk*: [ 0 | integer ]
If 0, no subdivision of the domain. Specify a positive integer to
divide the domain into subdomains of roughly *nchunk* by *nchunk*
Property changes on: trunk/matplotlib/lib/matplotlib/sphinxext/mathmpl.py
___________________________________________________________________
Modified: svn:mergeinfo
- /branches/v0_91_maint/doc/sphinxext/mathmpl.py:5753-5771
/branches/v0_98_5_maint/lib/matplotlib/sphinxext/mathmpl.py:6946,6948,6950,6952,6960,6972,6984-6985,6990,6995,6997-7001,7014,7016,7018,7024-7025,7033,7035,7042,7072,7080,7176,7209-7211,7227,7245
/branches/v0_99_maint/lib/matplotlib/sphinxext/mathmpl.py:7323-7338,7393,7395-7404,7407-7424,7428-7433,7442-7444,7446,7475-7482,7484,7486,7489-7523,7567,7569,7582-7584,7616-7618,7633,7638,7703,7727-7734,7740-7741,7745,7751,7756,7762,7770,7772,7774,7776-7778,7780,7784,7788,7790,7792,7794,7796,7800,7803,7808,7822,7827,7834,7837,7844,7846-7847,7849,7858,7864,7866-7867,7874,7884,7896,7901-7903,7916,7919,7924,7928,7944,7952,7970,7972,7981,7983,7989-7991,7998,8001,8003,8016-8057,8068,8070,8092-8116,8121-8135
/branches/v1_0_maint/lib/matplotlib/sphinxext/mathmpl.py:8521,8524-8541,8543,8549,8554,8557,8559-8564,8566,8573,8575,8577,8579,8581,8583,8585,8588,8590,8593,8595,8601,8603,8610,8614,8627-8628,8630,8632,8643,8645,8647-8667,8673,8675,8677,8679,8690-8697,8704,8706,8708,8714-8715,8717-8720,8722-8725,8732-8734,8747,8764,8769-8770,8772,8774,8776,8778,8780,8785,8788,8790,8794,8798-8799,8808,8815,8830,8835,8841-8842,8844-8846,8870-8899,8902-8906,8908,8911
+ /branches/v0_91_maint/doc/sphinxext/mathmpl.py:5753-5771
/branches/v0_98_5_maint/lib/matplotlib/sphinxext/mathmpl.py:6946,6948,6950,6952,6960,6972,6984-6985,6990,6995,6997-7001,7014,7016,7018,7024-7025,7033,7035,7042,7072,7080,7176,7209-7211,7227,7245
/branches/v0_99_maint/lib/matplotlib/sphinxext/mathmpl.py:7323-7338,7393,7395-7404,7407-7424,7428-7433,7442-7444,7446,7475-7482,7484,7486,7489-7523,7567,7569,7582-7584,7616-7618,7633,7638,7703,7727-7734,7740-7741,7745,7751,7756,7762,7770,7772,7774,7776-7778,7780,7784,7788,7790,7792,7794,7796,7800,7803,7808,7822,7827,7834,7837,7844,7846-7847,7849,7858,7864,7866-7867,7874,7884,7896,7901-7903,7916,7919,7924,7928,7944,7952,7970,7972,7981,7983,7989-7991,7998,8001,8003,8016-8057,8068,8070,8092-8116,8121-8135
/branches/v1_0_maint/lib/matplotlib/sphinxext/mathmpl.py:8521,8524-8541,8543,8549,8554,8557,8559-8564,8566,8573,8575,8577,8579,8581,8583,8585,8588,8590,8593,8595,8601,8603,8610,8614,8627-8628,8630,8632,8643,8645,8647-8667,8673,8675,8677,8679,8690-8697,8704,8706,8708,8714-8715,8717-8720,8722-8725,8732-8734,8747,8764,8769-8770,8772,8774,8776,8778,8780,8785,8788,8790,8794,8798-8799,8808,8815,8830,8835,8841-8842,8844-8846,8870-8899,8902-8906,8908,8911,8920
Property changes on: trunk/matplotlib/lib/matplotlib/sphinxext/only_directives.py
___________________________________________________________________
Modified: svn:mergeinfo
- /branches/v0_91_maint/doc/sphinxext/only_directives.py:5753-5771
/branches/v0_98_5_maint/lib/matplotlib/sphinxext/only_directives.py:6946,6948,6950,6952,6960,6972,6984-6985,6990,6995,6997-7001,7014,7016,7018,7024-7025,7033,7035,7042,7072,7080,7176,7209-7211,7227,7245
/branches/v0_99_maint/lib/matplotlib/sphinxext/only_directives.py:7323-7338,7393,7395-7404,7407-7424,7428-7433,7442-7444,7446,7475-7482,7484,7486,7489-7523,7567,7569,7582-7584,7616-7618,7633,7638,7703,7727-7734,7740-7741,7745,7751,7756,7762,7770,7772,7774,7776-7778,7780,7784,7788,7790,7792,7794,7796,7800,7803,7808,7822,7827,7834,7837,7844,7846-7847,7849,7858,7864,7866-7867,7874,7884,7896,7901-7903,7916,7919,7924,7928,7944,7952,7970,7972,7981,7983,7989-7991,7998,8001,8003,8016-8057,8068,8070,8092-8116,8121-8135
/branches/v1_0_maint/lib/matplotlib/sphinxext/only_directives.py:8521,8524-8541,8543,8549,8554,8557,8559-8564,8566,8573,8575,8577,8579,8581,8583,8585,8588,8590,8593,8595,8601,8603,8610,8614,8627-8628,8630,8632,8643,8645,8647-8667,8673,8675,8677,8679,8690-8697,8704,8706,8708,8714-8715,8717-8720,8722-8725,8732-8734,8747,8764,8769-8770,8772,8774,8776,8778,8780,8785,8788,8790,8794,8798-8799,8808,8815,8830,8835,8841-8842,8844-8846,8870-8899,8902-8906,8908,8911
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Property changes on: trunk/matplotlib/lib/matplotlib/sphinxext/plot_directive.py
___________________________________________________________________
Modified: svn:mergeinfo
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Property changes on: trunk/matplotlib/lib/matplotlib/tests/baseline_images/test_spines/spines_axes_positions.png
___________________________________________________________________
Modified: svn:mergeinfo
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