From 73a763acce773a4cebeec52d696f24c33b18257c Mon Sep 17 00:00:00 2001 From: Antony Lee Date: Thu, 25 Apr 2019 15:27:06 +0200 Subject: [PATCH] Use Path.arc() to interpolate polar arcs. Currently, in polar plots, arcs are rendered by linearly interpolating in (theta, r) space before conversion to (x, y) space (if their _interpolation_steps attribute is >1 -- this attribute is described in the docs as "an implementation detail not intended for public use"). When _interpolation_steps == 1, this PR doesn't change anything -- there is an example (specialty_plots/radar_chart) that explicitly relies on being able to set _interpolation_steps to 1 and get a "polygonal" polar axes rather than a circular one. When _interpolation_steps > 1, however, this PR looks for paths segments that are either at a constant theta or a constant r. It transforms constant-theta segments to a single segment (because interpolation doesn't help there) and transforms constant-r segments (circular arcs) to a Bezier approximation of a circle which is already implemented in Path.arc()). This greatly decreases the number of control points for such plots in vector outputs (which are thus smaller), and also improves rasterization by mplcairo (cairo appears to be not so good at filling areas with a lot of close vertices). The many changes in baseline images are due to, well, the change of approximation for drawing circles. --- lib/matplotlib/projections/polar.py | 58 +- .../test_axes/markevery_polar.pdf | Bin 36660 -> 35477 bytes .../test_axes/markevery_polar.png | Bin 92918 -> 92633 bytes .../test_axes/markevery_polar.svg | 1903 ++++++----------- .../test_axes/polar_alignment.png | Bin 55357 -> 55353 bytes .../baseline_images/test_axes/polar_axes.pdf | Bin 18237 -> 15208 bytes .../baseline_images/test_axes/polar_axes.png | Bin 72473 -> 71122 bytes .../baseline_images/test_axes/polar_axes.svg | 943 ++------ .../test_axes/polar_invertedylim.png | Bin 65186 -> 63099 bytes .../test_axes/polar_invertedylim_rorigin.png | Bin 76367 -> 73761 bytes .../test_axes/polar_negative_rmin.pdf | Bin 16923 -> 12590 bytes .../test_axes/polar_negative_rmin.png | Bin 75027 -> 73626 bytes .../test_axes/polar_negative_rmin.svg | 1042 ++------- .../test_axes/polar_rlabel_position.pdf | Bin 12824 -> 9404 bytes .../test_axes/polar_rlabel_position.png | Bin 50548 -> 48771 bytes .../test_axes/polar_rlabel_position.svg | 825 ++----- .../baseline_images/test_axes/polar_rmin.pdf | Bin 17885 -> 13093 bytes .../baseline_images/test_axes/polar_rmin.png | Bin 71784 -> 70018 bytes .../baseline_images/test_axes/polar_rmin.svg | 1217 ++--------- .../test_axes/polar_rorigin.pdf | Bin 20104 -> 14158 bytes .../test_axes/polar_rorigin.png | Bin 83462 -> 81225 bytes .../test_axes/polar_rorigin.svg | 1382 ++---------- .../test_axes/polar_theta_position.pdf | Bin 17311 -> 14090 bytes .../test_axes/polar_theta_position.png | Bin 91211 -> 90981 bytes .../test_axes/polar_theta_position.svg | 940 ++------ .../test_axes/polar_theta_wedge.pdf | Bin 55137 -> 53561 bytes .../test_axes/polar_theta_wedge.png | Bin 167624 -> 167601 bytes .../test_axes/polar_theta_wedge.svg | 1542 ++++++------- lib/matplotlib/tests/test_axes.py | 24 + 29 files changed, 2541 insertions(+), 7335 deletions(-) diff --git a/lib/matplotlib/projections/polar.py b/lib/matplotlib/projections/polar.py index d8d8313dbfc7..0c0d4408d127 100644 --- a/lib/matplotlib/projections/polar.py +++ b/lib/matplotlib/projections/polar.py @@ -8,7 +8,7 @@ import matplotlib.axis as maxis import matplotlib.markers as mmarkers import matplotlib.patches as mpatches -import matplotlib.path as mpath +from matplotlib.path import Path import matplotlib.ticker as mticker import matplotlib.transforms as mtransforms import matplotlib.spines as mspines @@ -50,11 +50,57 @@ def transform_non_affine(self, tr): def transform_path_non_affine(self, path): # docstring inherited - vertices = path.vertices - if len(vertices) == 2 and vertices[0, 0] == vertices[1, 0]: - return mpath.Path(self.transform(vertices), path.codes) - ipath = path.interpolated(path._interpolation_steps) - return mpath.Path(self.transform(ipath.vertices), ipath.codes) + if not len(path) or path._interpolation_steps == 1: + return Path(self.transform_non_affine(path.vertices), path.codes) + xys = [] + codes = [] + last_t = last_r = None + for trs, c in path.iter_segments(): + trs = trs.reshape((-1, 2)) + if c == Path.LINETO: + (t, r), = trs + if t == last_t: # Same angle: draw a straight line. + xys.extend(self.transform_non_affine(trs)) + codes.append(Path.LINETO) + elif r == last_r: # Same radius: draw an arc. + # The following is complicated by Path.arc() being + # "helpful" and unwrapping the angles, but we don't want + # that behavior here. + last_td, td = np.rad2deg([last_t, t]) + if self._use_rmin and self._axis is not None: + r = ((r - self._axis.get_rorigin()) + * self._axis.get_rsign()) + if last_td <= td: + while td - last_td > 360: + arc = Path.arc(last_td, last_td + 360) + xys.extend(arc.vertices[1:] * r) + codes.extend(arc.codes[1:]) + last_td += 360 + arc = Path.arc(last_td, td) + xys.extend(arc.vertices[1:] * r) + codes.extend(arc.codes[1:]) + else: + # The reverse version also relies on the fact that all + # codes but the first one are the same. + while last_td - td > 360: + arc = Path.arc(last_td - 360, last_td) + xys.extend(arc.vertices[::-1][1:] * r) + codes.extend(arc.codes[1:]) + last_td -= 360 + arc = Path.arc(td, last_td) + xys.extend(arc.vertices[::-1][1:] * r) + codes.extend(arc.codes[1:]) + else: # Interpolate. + trs = cbook.simple_linear_interpolation( + np.row_stack([(last_t, last_r), trs]), + path._interpolation_steps)[1:] + xys.extend(self.transform_non_affine(trs)) + codes.extend([Path.LINETO] * len(trs)) + else: # Not a straight line. + xys.extend(self.transform_non_affine(trs)) + codes.extend([c] * len(trs)) + last_t, last_r = trs[-1] + return Path(xys, codes) def inverted(self): # docstring inherited diff --git a/lib/matplotlib/tests/baseline_images/test_axes/markevery_polar.pdf b/lib/matplotlib/tests/baseline_images/test_axes/markevery_polar.pdf index 4c93d903e17c329af97aa0d7356a89ec2fe1b200..b69860d339e9eb1d3966b1ce7f6605ff057f66fe 100644 GIT binary patch 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