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#!/usr/bin/python
# axis3d.py, original mplot3d version by John Porter
# Created: 23 Sep 2005
# Parts rewritten by Reinier Heeres <reinier@heeres.eu>
import math
import copy
from matplotlib import lines as mlines, axis as maxis, \
patches as mpatches
import art3d
import proj3d
import numpy as np
def get_flip_min_max(coord, index, mins, maxs):
if coord[index] == mins[index]:
return maxs[index]
else:
return mins[index]
def move_from_center(coord, centers, deltas, axmask=(True, True, True)):
'''Return a coordinate that is moved by "deltas" away from the center.'''
coord = copy.copy(coord)
#print coord, centers, deltas, axmask
for i in range(3):
if not axmask[i]:
continue
if coord[i] < centers[i]:
coord[i] -= deltas[i]
else:
coord[i] += deltas[i]
return coord
def tick_update_position(tick, tickxs, tickys, labelpos):
'''Update tick line and label position and style.'''
for (label, on) in ((tick.label1, tick.label1On), \
(tick.label2, tick.label2On)):
if on:
label.set_position(labelpos)
tick.tick1On, tick.tick2On = True, False
tick.tick1line.set_linestyle('-')
tick.tick1line.set_marker('')
tick.tick1line.set_data(tickxs, tickys)
tick.gridline.set_data(0, 0)
class Axis(maxis.XAxis):
# These points from the unit cube make up the x, y and z-planes
_PLANES = (
(0, 3, 7, 4), (1, 2, 6, 5), # yz planes
(0, 1, 5, 4), (3, 2, 6, 7), # xz planes
(0, 1, 2, 3), (4, 5, 6, 7), # xy planes
)
# Some properties for the axes
_AXINFO = {
'x': {'i': 0, 'tickdir': 1, 'juggled': (1, 0, 2),
'color': (0.95, 0.95, 0.95, 0.5)},
'y': {'i': 1, 'tickdir': 0, 'juggled': (0, 1, 2),
'color': (0.90, 0.90, 0.90, 0.5)},
'z': {'i': 2, 'tickdir': 0, 'juggled': (0, 2, 1),
'color': (0.925, 0.925, 0.925, 0.5)},
}
def __init__(self, adir, v_intervalx, d_intervalx, axes, *args, **kwargs):
# adir identifies which axes this is
self.adir = adir
# data and viewing intervals for this direction
self.d_interval = d_intervalx
self.v_interval = v_intervalx
maxis.XAxis.__init__(self, axes, *args, **kwargs)
self.line = mlines.Line2D(xdata=(0, 0), ydata=(0, 0),
linewidth=0.75,
color=(0, 0, 0, 1),
antialiased=True,
)
# Store dummy data in Polygon object
self.has_pane = True
self.pane = mpatches.Polygon(np.array([[0,0], [0,1], [1,0], [0,0]]),
alpha=0.8,
facecolor=(1,1,1,0),
edgecolor=(1,1,1,0))
self.axes._set_artist_props(self.line)
self.axes._set_artist_props(self.pane)
self.gridlines = art3d.Line3DCollection([], )
self.axes._set_artist_props(self.gridlines)
self.axes._set_artist_props(self.label)
# Need to be able to place the label at the correct location
self.label._transform = self.axes.transData
self.set_rotate_label(kwargs.get('rotate_label', None))
def get_tick_positions(self):
majorLocs = self.major.locator()
self.major.formatter.set_locs(majorLocs)
majorLabels = [self.major.formatter(val, i) for i, val in enumerate(majorLocs)]
return majorLabels, majorLocs
def get_major_ticks(self, numticks=None):
ticks = maxis.XAxis.get_major_ticks(self, numticks)
for t in ticks:
t.tick1line.set_transform(self.axes.transData)
t.tick2line.set_transform(self.axes.transData)
t.gridline.set_transform(self.axes.transData)
t.label1.set_transform(self.axes.transData)
t.label2.set_transform(self.axes.transData)
return ticks
def set_pane(self, xys, color):
if self.has_pane:
xys = np.asarray(xys)
xys = xys[:,:2]
self.pane.xy = xys
self.pane.set_edgecolor(color)
self.pane.set_facecolor(color)
self.pane.set_alpha(color[-1])
def set_rotate_label(self, val):
'''
Whether to rotate the axis label: True, False or None.
If set to None the label will be rotated if longer than 4 chars.
'''
self._rotate_label = val
def get_rotate_label(self, text):
if self._rotate_label is not None:
return self._rotate_label
else:
return len(text) > 4
def _get_coord_info(self, renderer):
minx, maxx, miny, maxy, minz, maxz = self.axes.get_w_lims()
mins = np.array((minx, miny, minz))
maxs = np.array((maxx, maxy, maxz))
centers = (maxs + mins) / 2.
deltas = (maxs - mins) / 12.
mins = mins - deltas / 4.
maxs = maxs + deltas / 4.
vals = mins[0], maxs[0], mins[1], maxs[1], mins[2], maxs[2]
tc = self.axes.tunit_cube(vals, renderer.M)
avgz = [tc[p1][2] + tc[p2][2] + tc[p3][2] + tc[p4][2] for \
p1, p2, p3, p4 in self._PLANES]
highs = np.array([avgz[2*i] < avgz[2*i+1] for i in range(3)])
return mins, maxs, centers, deltas, tc, highs
def draw_pane(self, renderer):
renderer.open_group('pane3d')
mins, maxs, centers, deltas, tc, highs = self._get_coord_info(renderer)
info = self._AXINFO[self.adir]
index = info['i']
if not highs[index]:
plane = self._PLANES[2 * index]
else:
plane = self._PLANES[2 * index + 1]
xys = [tc[p] for p in plane]
self.set_pane(xys, info['color'])
self.pane.draw(renderer)
renderer.close_group('pane3d')
def draw(self, renderer):
self.label._transform = self.axes.transData
renderer.open_group('axis3d')
# code from XAxis
majorTicks = self.get_major_ticks()
majorLocs = self.major.locator()
info = self._AXINFO[self.adir]
index = info['i']
# filter locations here so that no extra grid lines are drawn
interval = self.get_view_interval()
majorLocs = [loc for loc in majorLocs if \
interval[0] <= loc <= interval[1]]
self.major.formatter.set_locs(majorLocs)
majorLabels = [self.major.formatter(val, i)
for i, val in enumerate(majorLocs)]
mins, maxs, centers, deltas, tc, highs = self._get_coord_info(renderer)
# Determine grid lines
minmax = np.where(highs, maxs, mins)
# Draw main axis line
juggled = info['juggled']
edgep1 = minmax.copy()
edgep1[juggled[0]] = get_flip_min_max(edgep1, juggled[0], mins, maxs)
edgep2 = edgep1.copy()
edgep2[juggled[1]] = get_flip_min_max(edgep2, juggled[1], mins, maxs)
pep = proj3d.proj_trans_points([edgep1, edgep2], renderer.M)
self.line.set_data((pep[0][0], pep[0][1]), (pep[1][0], pep[1][1]))
self.line.draw(renderer)
# Grid points where the planes meet
xyz0 = []
for val in majorLocs:
coord = minmax.copy()
coord[index] = val
xyz0.append(coord)
# Draw labels
peparray = np.asanyarray(pep)
# The transAxes transform is used because the Text object
# rotates the text relative to the display coordinate system.
# Therefore, if we want the labels to remain parallel to the
# axis regardless of the aspect ratio, we need to convert the
# edge points of the plane to display coordinates and calculate
# an angle from that.
# TODO: Maybe Text objects should handle this themselves?
dx, dy = (self.axes.transAxes.transform(peparray[0:2, 1]) -
self.axes.transAxes.transform(peparray[0:2, 0]))
lxyz = 0.5*(edgep1 + edgep2)
labeldeltas = 1.3 * deltas
axmask = [True, True, True]
axmask[index] = False
lxyz = move_from_center(lxyz, centers, labeldeltas, axmask)
tlx, tly, tlz = proj3d.proj_transform(lxyz[0], lxyz[1], lxyz[2], \
renderer.M)
self.label.set_position((tlx, tly))
if self.get_rotate_label(self.label.get_text()):
angle = art3d.norm_text_angle(math.degrees(math.atan2(dy, dx)))
self.label.set_rotation(angle)
self.label.set_va('center')
self.label.set_ha('center')
self.label.draw(renderer)
# Grid points at end of one plane
xyz1 = copy.deepcopy(xyz0)
newindex = (index + 1) % 3
newval = get_flip_min_max(xyz1[0], newindex, mins, maxs)
for i in range(len(majorLocs)):
xyz1[i][newindex] = newval
# Grid points at end of the other plane
xyz2 = copy.deepcopy(xyz0)
newindex = (index + 2) % 3
newval = get_flip_min_max(xyz2[0], newindex, mins, maxs)
for i in range(len(majorLocs)):
xyz2[i][newindex] = newval
lines = zip(xyz1, xyz0, xyz2)
if self.axes._draw_grid:
self.gridlines.set_segments(lines)
self.gridlines.set_color([(0.9,0.9,0.9,1)] * len(lines))
self.gridlines.draw(renderer, project=True)
# Draw ticks
tickdir = info['tickdir']
tickdelta = deltas[tickdir]
if highs[tickdir]:
ticksign = 1
else:
ticksign = -1
for tick, loc, label in zip(majorTicks, majorLocs, majorLabels):
if tick is None:
continue
# Get tick line positions
pos = copy.copy(edgep1)
pos[index] = loc
pos[tickdir] = edgep1[tickdir] + 0.1 * ticksign * tickdelta
x1, y1, z1 = proj3d.proj_transform(pos[0], pos[1], pos[2], \
renderer.M)
pos[tickdir] = edgep1[tickdir] - 0.2 * ticksign * tickdelta
x2, y2, z2 = proj3d.proj_transform(pos[0], pos[1], pos[2], \
renderer.M)
# Get position of label
labeldeltas = [0.6 * x for x in 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[0], pos[1], pos[2], \
renderer.M)
tick_update_position(tick, (x1, x2), (y1, y2), (lx, ly))
tick.set_label1(label)
tick.set_label2(label)
tick.draw(renderer)
renderer.close_group('axis3d')
def get_view_interval(self):
"""return the Interval instance for this axis view limits"""
return self.v_interval
# Each type of axis should be looking in a different place for its
# current data limits so we do this with classes. I think there is
# a lot more that I can and should move down into these classes also.
class XAxis(Axis):
def get_data_interval(self):
'return the Interval instance for this axis data limits'
return self.axes.xy_dataLim.intervalx
class YAxis(Axis):
def get_data_interval(self):
'return the Interval instance for this axis data limits'
return self.axes.xy_dataLim.intervaly
class ZAxis(Axis):
def get_data_interval(self):
'return the Interval instance for this axis data limits'
return self.axes.zz_dataLim.intervalx