490 lines
18 KiB
Python
490 lines
18 KiB
Python
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# axis3d.py, original mplot3d version by John Porter
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# Created: 23 Sep 2005
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# Parts rewritten by Reinier Heeres <reinier@heeres.eu>
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import numpy as np
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import matplotlib.transforms as mtransforms
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from matplotlib import (
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artist, lines as mlines, axis as maxis, patches as mpatches, rcParams)
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from . import art3d, proj3d
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def move_from_center(coord, centers, deltas, axmask=(True, True, True)):
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"""
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For each coordinate where *axmask* is True, move *coord* away from
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*centers* by *deltas*.
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"""
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coord = np.asarray(coord)
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return coord + axmask * np.copysign(1, coord - centers) * deltas
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def tick_update_position(tick, tickxs, tickys, labelpos):
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"""Update tick line and label position and style."""
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tick.label1.set_position(labelpos)
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tick.label2.set_position(labelpos)
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tick.tick1line.set_visible(True)
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tick.tick2line.set_visible(False)
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tick.tick1line.set_linestyle('-')
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tick.tick1line.set_marker('')
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tick.tick1line.set_data(tickxs, tickys)
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tick.gridline.set_data(0, 0)
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class Axis(maxis.XAxis):
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"""An Axis class for the 3D plots."""
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# These points from the unit cube make up the x, y and z-planes
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_PLANES = (
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(0, 3, 7, 4), (1, 2, 6, 5), # yz planes
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(0, 1, 5, 4), (3, 2, 6, 7), # xz planes
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(0, 1, 2, 3), (4, 5, 6, 7), # xy planes
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)
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# Some properties for the axes
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_AXINFO = {
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'x': {'i': 0, 'tickdir': 1, 'juggled': (1, 0, 2),
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'color': (0.95, 0.95, 0.95, 0.5)},
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'y': {'i': 1, 'tickdir': 0, 'juggled': (0, 1, 2),
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'color': (0.90, 0.90, 0.90, 0.5)},
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'z': {'i': 2, 'tickdir': 0, 'juggled': (0, 2, 1),
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'color': (0.925, 0.925, 0.925, 0.5)},
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}
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def __init__(self, adir, v_intervalx, d_intervalx, axes, *args,
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rotate_label=None, **kwargs):
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# adir identifies which axes this is
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self.adir = adir
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# This is a temporary member variable.
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# Do not depend on this existing in future releases!
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self._axinfo = self._AXINFO[adir].copy()
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if rcParams['_internal.classic_mode']:
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self._axinfo.update({
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'label': {'va': 'center', 'ha': 'center'},
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'tick': {
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'inward_factor': 0.2,
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'outward_factor': 0.1,
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'linewidth': {
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True: rcParams['lines.linewidth'], # major
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False: rcParams['lines.linewidth'], # minor
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}
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},
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'axisline': {'linewidth': 0.75, 'color': (0, 0, 0, 1)},
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'grid': {
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'color': (0.9, 0.9, 0.9, 1),
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'linewidth': 1.0,
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'linestyle': '-',
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},
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})
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else:
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self._axinfo.update({
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'label': {'va': 'center', 'ha': 'center'},
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'tick': {
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'inward_factor': 0.2,
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'outward_factor': 0.1,
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'linewidth': {
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True: ( # major
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rcParams['xtick.major.width'] if adir in 'xz' else
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rcParams['ytick.major.width']),
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False: ( # minor
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rcParams['xtick.minor.width'] if adir in 'xz' else
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rcParams['ytick.minor.width']),
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}
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},
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'axisline': {
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'linewidth': rcParams['axes.linewidth'],
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'color': rcParams['axes.edgecolor'],
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},
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'grid': {
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'color': rcParams['grid.color'],
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'linewidth': rcParams['grid.linewidth'],
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'linestyle': rcParams['grid.linestyle'],
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},
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})
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super().__init__(axes, *args, **kwargs)
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# data and viewing intervals for this direction
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self.d_interval = d_intervalx
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self.v_interval = v_intervalx
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self.set_rotate_label(rotate_label)
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def init3d(self):
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self.line = mlines.Line2D(
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xdata=(0, 0), ydata=(0, 0),
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linewidth=self._axinfo['axisline']['linewidth'],
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color=self._axinfo['axisline']['color'],
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antialiased=True)
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# Store dummy data in Polygon object
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self.pane = mpatches.Polygon(
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np.array([[0, 0], [0, 1], [1, 0], [0, 0]]),
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closed=False, alpha=0.8, facecolor='k', edgecolor='k')
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self.set_pane_color(self._axinfo['color'])
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self.axes._set_artist_props(self.line)
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self.axes._set_artist_props(self.pane)
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self.gridlines = art3d.Line3DCollection([])
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self.axes._set_artist_props(self.gridlines)
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self.axes._set_artist_props(self.label)
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self.axes._set_artist_props(self.offsetText)
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# Need to be able to place the label at the correct location
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self.label._transform = self.axes.transData
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self.offsetText._transform = self.axes.transData
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def get_major_ticks(self, numticks=None):
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ticks = super().get_major_ticks(numticks)
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for t in ticks:
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for obj in [
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t.tick1line, t.tick2line, t.gridline, t.label1, t.label2]:
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obj.set_transform(self.axes.transData)
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return ticks
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def get_minor_ticks(self, numticks=None):
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ticks = super().get_minor_ticks(numticks)
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for t in ticks:
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for obj in [
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t.tick1line, t.tick2line, t.gridline, t.label1, t.label2]:
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obj.set_transform(self.axes.transData)
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return ticks
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def set_pane_pos(self, xys):
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xys = np.asarray(xys)
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xys = xys[:, :2]
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self.pane.xy = xys
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self.stale = True
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def set_pane_color(self, color):
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"""Set pane color to a RGBA tuple."""
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self._axinfo['color'] = color
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self.pane.set_edgecolor(color)
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self.pane.set_facecolor(color)
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self.pane.set_alpha(color[-1])
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self.stale = True
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def set_rotate_label(self, val):
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"""
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Whether to rotate the axis label: True, False or None.
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If set to None the label will be rotated if longer than 4 chars.
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"""
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self._rotate_label = val
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self.stale = True
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def get_rotate_label(self, text):
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if self._rotate_label is not None:
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return self._rotate_label
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else:
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return len(text) > 4
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def _get_coord_info(self, renderer):
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mins, maxs = np.array([
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self.axes.get_xbound(),
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self.axes.get_ybound(),
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self.axes.get_zbound(),
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]).T
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centers = (maxs + mins) / 2.
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deltas = (maxs - mins) / 12.
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mins = mins - deltas / 4.
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maxs = maxs + deltas / 4.
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vals = mins[0], maxs[0], mins[1], maxs[1], mins[2], maxs[2]
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tc = self.axes.tunit_cube(vals, self.axes.M)
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avgz = [tc[p1][2] + tc[p2][2] + tc[p3][2] + tc[p4][2]
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for p1, p2, p3, p4 in self._PLANES]
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highs = np.array([avgz[2*i] < avgz[2*i+1] for i in range(3)])
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return mins, maxs, centers, deltas, tc, highs
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def draw_pane(self, renderer):
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renderer.open_group('pane3d', gid=self.get_gid())
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mins, maxs, centers, deltas, tc, highs = self._get_coord_info(renderer)
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info = self._axinfo
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index = info['i']
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if not highs[index]:
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plane = self._PLANES[2 * index]
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else:
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plane = self._PLANES[2 * index + 1]
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xys = [tc[p] for p in plane]
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self.set_pane_pos(xys)
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self.pane.draw(renderer)
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renderer.close_group('pane3d')
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@artist.allow_rasterization
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def draw(self, renderer):
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self.label._transform = self.axes.transData
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renderer.open_group('axis3d', gid=self.get_gid())
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ticks = self._update_ticks()
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info = self._axinfo
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index = info['i']
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mins, maxs, centers, deltas, tc, highs = self._get_coord_info(renderer)
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# Determine grid lines
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minmax = np.where(highs, maxs, mins)
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maxmin = np.where(highs, mins, maxs)
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# Draw main axis line
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juggled = info['juggled']
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edgep1 = minmax.copy()
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edgep1[juggled[0]] = maxmin[juggled[0]]
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edgep2 = edgep1.copy()
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edgep2[juggled[1]] = maxmin[juggled[1]]
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pep = np.asarray(
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proj3d.proj_trans_points([edgep1, edgep2], self.axes.M))
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centpt = proj3d.proj_transform(*centers, self.axes.M)
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self.line.set_data(pep[0], pep[1])
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self.line.draw(renderer)
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# Grid points where the planes meet
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xyz0 = np.tile(minmax, (len(ticks), 1))
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xyz0[:, index] = [tick.get_loc() for tick in ticks]
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# Draw labels
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# The transAxes transform is used because the Text object
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# rotates the text relative to the display coordinate system.
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# Therefore, if we want the labels to remain parallel to the
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# axis regardless of the aspect ratio, we need to convert the
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# edge points of the plane to display coordinates and calculate
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# an angle from that.
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# TODO: Maybe Text objects should handle this themselves?
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dx, dy = (self.axes.transAxes.transform([pep[0:2, 1]]) -
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self.axes.transAxes.transform([pep[0:2, 0]]))[0]
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lxyz = 0.5 * (edgep1 + edgep2)
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# A rough estimate; points are ambiguous since 3D plots rotate
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reltoinches = self.figure.dpi_scale_trans.inverted()
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ax_inches = reltoinches.transform(self.axes.bbox.size)
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ax_points_estimate = sum(72. * ax_inches)
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deltas_per_point = 48 / ax_points_estimate
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default_offset = 21.
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labeldeltas = (
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(self.labelpad + default_offset) * deltas_per_point * deltas)
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axmask = [True, True, True]
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axmask[index] = False
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lxyz = move_from_center(lxyz, centers, labeldeltas, axmask)
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tlx, tly, tlz = proj3d.proj_transform(*lxyz, self.axes.M)
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self.label.set_position((tlx, tly))
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if self.get_rotate_label(self.label.get_text()):
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angle = art3d._norm_text_angle(np.rad2deg(np.arctan2(dy, dx)))
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self.label.set_rotation(angle)
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self.label.set_va(info['label']['va'])
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self.label.set_ha(info['label']['ha'])
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self.label.draw(renderer)
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# Draw Offset text
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# Which of the two edge points do we want to
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# use for locating the offset text?
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if juggled[2] == 2:
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outeredgep = edgep1
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outerindex = 0
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else:
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outeredgep = edgep2
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outerindex = 1
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pos = move_from_center(outeredgep, centers, labeldeltas, axmask)
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olx, oly, olz = proj3d.proj_transform(*pos, self.axes.M)
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self.offsetText.set_text(self.major.formatter.get_offset())
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self.offsetText.set_position((olx, oly))
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angle = art3d._norm_text_angle(np.rad2deg(np.arctan2(dy, dx)))
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self.offsetText.set_rotation(angle)
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# Must set rotation mode to "anchor" so that
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# the alignment point is used as the "fulcrum" for rotation.
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self.offsetText.set_rotation_mode('anchor')
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#----------------------------------------------------------------------
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# Note: the following statement for determining the proper alignment of
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# the offset text. This was determined entirely by trial-and-error
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# and should not be in any way considered as "the way". There are
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# still some edge cases where alignment is not quite right, but this
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# seems to be more of a geometry issue (in other words, I might be
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# using the wrong reference points).
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#
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# (TT, FF, TF, FT) are the shorthand for the tuple of
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# (centpt[info['tickdir']] <= pep[info['tickdir'], outerindex],
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# centpt[index] <= pep[index, outerindex])
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#
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# Three-letters (e.g., TFT, FTT) are short-hand for the array of bools
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# from the variable 'highs'.
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# ---------------------------------------------------------------------
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if centpt[info['tickdir']] > pep[info['tickdir'], outerindex]:
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# if FT and if highs has an even number of Trues
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if (centpt[index] <= pep[index, outerindex]
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and np.count_nonzero(highs) % 2 == 0):
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# Usually, this means align right, except for the FTT case,
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# in which offset for axis 1 and 2 are aligned left.
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if highs.tolist() == [False, True, True] and index in (1, 2):
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align = 'left'
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else:
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align = 'right'
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else:
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# The FF case
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align = 'left'
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else:
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# if TF and if highs has an even number of Trues
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if (centpt[index] > pep[index, outerindex]
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and np.count_nonzero(highs) % 2 == 0):
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# Usually mean align left, except if it is axis 2
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if index == 2:
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align = 'right'
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else:
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align = 'left'
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else:
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# The TT case
|
||
|
|
align = 'right'
|
||
|
|
|
||
|
|
self.offsetText.set_va('center')
|
||
|
|
self.offsetText.set_ha(align)
|
||
|
|
self.offsetText.draw(renderer)
|
||
|
|
|
||
|
|
if self.axes._draw_grid and len(ticks):
|
||
|
|
# Grid lines go from the end of one plane through the plane
|
||
|
|
# intersection (at xyz0) to the end of the other plane. The first
|
||
|
|
# point (0) differs along dimension index-2 and the last (2) along
|
||
|
|
# dimension index-1.
|
||
|
|
lines = np.stack([xyz0, xyz0, xyz0], axis=1)
|
||
|
|
lines[:, 0, index - 2] = maxmin[index - 2]
|
||
|
|
lines[:, 2, index - 1] = maxmin[index - 1]
|
||
|
|
self.gridlines.set_segments(lines)
|
||
|
|
self.gridlines.set_color(info['grid']['color'])
|
||
|
|
self.gridlines.set_linewidth(info['grid']['linewidth'])
|
||
|
|
self.gridlines.set_linestyle(info['grid']['linestyle'])
|
||
|
|
self.gridlines.do_3d_projection()
|
||
|
|
self.gridlines.draw(renderer)
|
||
|
|
|
||
|
|
# Draw ticks
|
||
|
|
tickdir = info['tickdir']
|
||
|
|
tickdelta = deltas[tickdir]
|
||
|
|
if highs[tickdir]:
|
||
|
|
ticksign = 1
|
||
|
|
else:
|
||
|
|
ticksign = -1
|
||
|
|
|
||
|
|
for tick in ticks:
|
||
|
|
# Get tick line positions
|
||
|
|
pos = edgep1.copy()
|
||
|
|
pos[index] = tick.get_loc()
|
||
|
|
pos[tickdir] = (
|
||
|
|
edgep1[tickdir]
|
||
|
|
+ info['tick']['outward_factor'] * ticksign * tickdelta)
|
||
|
|
x1, y1, z1 = proj3d.proj_transform(*pos, self.axes.M)
|
||
|
|
pos[tickdir] = (
|
||
|
|
edgep1[tickdir]
|
||
|
|
- info['tick']['inward_factor'] * ticksign * tickdelta)
|
||
|
|
x2, y2, z2 = proj3d.proj_transform(*pos, self.axes.M)
|
||
|
|
|
||
|
|
# Get position of label
|
||
|
|
default_offset = 8. # A rough estimate
|
||
|
|
labeldeltas = (
|
||
|
|
(tick.get_pad() + default_offset) * deltas_per_point * deltas)
|
||
|
|
|
||
|
|
axmask = [True, True, True]
|
||
|
|
axmask[index] = False
|
||
|
|
pos[tickdir] = edgep1[tickdir]
|
||
|
|
pos = move_from_center(pos, centers, labeldeltas, axmask)
|
||
|
|
lx, ly, lz = proj3d.proj_transform(*pos, self.axes.M)
|
||
|
|
|
||
|
|
tick_update_position(tick, (x1, x2), (y1, y2), (lx, ly))
|
||
|
|
tick.tick1line.set_linewidth(
|
||
|
|
info['tick']['linewidth'][tick._major])
|
||
|
|
tick.draw(renderer)
|
||
|
|
|
||
|
|
renderer.close_group('axis3d')
|
||
|
|
self.stale = False
|
||
|
|
|
||
|
|
# TODO: Get this to work (more) properly when mplot3d supports the
|
||
|
|
# transforms framework.
|
||
|
|
def get_tightbbox(self, renderer, *, for_layout_only=False):
|
||
|
|
# inherited docstring
|
||
|
|
if not self.get_visible():
|
||
|
|
return
|
||
|
|
# We have to directly access the internal data structures
|
||
|
|
# (and hope they are up to date) because at draw time we
|
||
|
|
# shift the ticks and their labels around in (x, y) space
|
||
|
|
# based on the projection, the current view port, and their
|
||
|
|
# position in 3D space. If we extend the transforms framework
|
||
|
|
# into 3D we would not need to do this different book keeping
|
||
|
|
# than we do in the normal axis
|
||
|
|
major_locs = self.get_majorticklocs()
|
||
|
|
minor_locs = self.get_minorticklocs()
|
||
|
|
|
||
|
|
ticks = [*self.get_minor_ticks(len(minor_locs)),
|
||
|
|
*self.get_major_ticks(len(major_locs))]
|
||
|
|
view_low, view_high = self.get_view_interval()
|
||
|
|
if view_low > view_high:
|
||
|
|
view_low, view_high = view_high, view_low
|
||
|
|
interval_t = self.get_transform().transform([view_low, view_high])
|
||
|
|
|
||
|
|
ticks_to_draw = []
|
||
|
|
for tick in ticks:
|
||
|
|
try:
|
||
|
|
loc_t = self.get_transform().transform(tick.get_loc())
|
||
|
|
except AssertionError:
|
||
|
|
# Transform.transform doesn't allow masked values but
|
||
|
|
# some scales might make them, so we need this try/except.
|
||
|
|
pass
|
||
|
|
else:
|
||
|
|
if mtransforms._interval_contains_close(interval_t, loc_t):
|
||
|
|
ticks_to_draw.append(tick)
|
||
|
|
|
||
|
|
ticks = ticks_to_draw
|
||
|
|
|
||
|
|
bb_1, bb_2 = self._get_tick_bboxes(ticks, renderer)
|
||
|
|
other = []
|
||
|
|
|
||
|
|
if self.line.get_visible():
|
||
|
|
other.append(self.line.get_window_extent(renderer))
|
||
|
|
if (self.label.get_visible() and not for_layout_only and
|
||
|
|
self.label.get_text()):
|
||
|
|
other.append(self.label.get_window_extent(renderer))
|
||
|
|
|
||
|
|
return mtransforms.Bbox.union([*bb_1, *bb_2, *other])
|
||
|
|
|
||
|
|
@property
|
||
|
|
def d_interval(self):
|
||
|
|
return self.get_data_interval()
|
||
|
|
|
||
|
|
@d_interval.setter
|
||
|
|
def d_interval(self, minmax):
|
||
|
|
self.set_data_interval(*minmax)
|
||
|
|
|
||
|
|
@property
|
||
|
|
def v_interval(self):
|
||
|
|
return self.get_view_interval()
|
||
|
|
|
||
|
|
@v_interval.setter
|
||
|
|
def v_interval(self, minmax):
|
||
|
|
self.set_view_interval(*minmax)
|
||
|
|
|
||
|
|
|
||
|
|
# Use classes to look at different data limits
|
||
|
|
|
||
|
|
|
||
|
|
class XAxis(Axis):
|
||
|
|
get_view_interval, set_view_interval = maxis._make_getset_interval(
|
||
|
|
"view", "xy_viewLim", "intervalx")
|
||
|
|
get_data_interval, set_data_interval = maxis._make_getset_interval(
|
||
|
|
"data", "xy_dataLim", "intervalx")
|
||
|
|
|
||
|
|
|
||
|
|
class YAxis(Axis):
|
||
|
|
get_view_interval, set_view_interval = maxis._make_getset_interval(
|
||
|
|
"view", "xy_viewLim", "intervaly")
|
||
|
|
get_data_interval, set_data_interval = maxis._make_getset_interval(
|
||
|
|
"data", "xy_dataLim", "intervaly")
|
||
|
|
|
||
|
|
|
||
|
|
class ZAxis(Axis):
|
||
|
|
get_view_interval, set_view_interval = maxis._make_getset_interval(
|
||
|
|
"view", "zz_viewLim", "intervalx")
|
||
|
|
get_data_interval, set_data_interval = maxis._make_getset_interval(
|
||
|
|
"data", "zz_dataLim", "intervalx")
|