def _render_on_subplot(self, subplot):
"""
Render this line on a matplotlib subplot.
INPUT:
- ``subplot`` -- a matplotlib subplot
EXAMPLES:
This implicitly calls this function::
sage: line([(1,2), (3,-4), (2, 5), (1,2)])
Graphics object consisting of 1 graphics primitive
"""
import matplotlib.lines as lines
options = dict(self.options())
for o in ('alpha', 'legend_color', 'legend_label', 'linestyle',
'rgbcolor', 'thickness'):
if o in options:
del options[o]
p = lines.Line2D(self.xdata, self.ydata, **options)
options = self.options()
a = float(options['alpha'])
p.set_alpha(a)
p.set_linewidth(float(options['thickness']))
p.set_color(to_mpl_color(options['rgbcolor']))
p.set_label(options['legend_label'])
# we don't pass linestyle in directly since the drawstyles aren't
# pulled off automatically. This (I think) is a bug in matplotlib 1.0.1
if 'linestyle' in options:
from sage.plot.misc import get_matplotlib_linestyle
p.set_linestyle(get_matplotlib_linestyle(options['linestyle'],
return_type='short'))
subplot.add_line(p)
def _render_on_subplot(self, subplot):
"""
Render this line on a matplotlib subplot.
INPUT:
- ``subplot`` -- a matplotlib subplot
EXAMPLES:
This implicitly calls this function::
sage: line([(1,2), (3,-4), (2, 5), (1,2)])
Graphics object consisting of 1 graphics primitive
"""
import matplotlib.lines as lines
options = dict(self.options())
for o in ('alpha', 'legend_color', 'legend_label', 'linestyle',
'rgbcolor', 'thickness'):
if o in options:
del options[o]
p = lines.Line2D(self.xdata, self.ydata, **options)
options = self.options()
a = float(options['alpha'])
p.set_alpha(a)
p.set_linewidth(float(options['thickness']))
p.set_color(to_mpl_color(options['rgbcolor']))
p.set_label(options['legend_label'])
# we don't pass linestyle in directly since the drawstyles aren't
# pulled off automatically. This (I think) is a bug in matplotlib 1.0.1
if 'linestyle' in options:
from sage.plot.misc import get_matplotlib_linestyle
p.set_linestyle(get_matplotlib_linestyle(options['linestyle'],
return_type='short'))
subplot.add_line(p)
def __init__(self, datalist, options):
"""
Initialize a ``Histogram`` primitive along with
its options.
EXAMPLES::
sage: from sage.plot.histogram import Histogram
sage: Histogram([10,3,5], {'width':0.7})
Histogram defined by a data list of size 3
"""
import numpy as np
self.datalist = np.asarray(datalist, dtype=float)
if 'normed' in options:
from sage.misc.superseded import deprecation
deprecation(
25260,
"the 'normed' option is deprecated. Use 'density' instead.")
if 'linestyle' in options:
from sage.plot.misc import get_matplotlib_linestyle
options['linestyle'] = get_matplotlib_linestyle(
options['linestyle'], return_type='long')
if options.get('range', None):
# numpy.histogram performs type checks on "range" so this must be
# actual floats
options['range'] = [float(x) for x in options['range']]
GraphicPrimitive.__init__(self, options)
def _render_on_subplot(self, subplot):
"""
TESTS::
sage: A = arc((1,1),3,4,pi/4,(pi,4*pi/3)); A
Graphics object consisting of 1 graphics primitive
"""
import matplotlib.patches as patches
from sage.plot.misc import get_matplotlib_linestyle
options = self.options()
p = patches.Arc(
(self.x,self.y),
2.*self.r1,
2.*self.r2,
fmod(self.angle,2*pi)*(180./pi),
self.s1*(180./pi),
self.s2*(180./pi))
p.set_linewidth(float(options['thickness']))
a = float(options['alpha'])
p.set_alpha(a)
z = int(options.pop('zorder',1))
p.set_zorder(z)
c = to_mpl_color(options['rgbcolor'])
p.set_linestyle(get_matplotlib_linestyle(options['linestyle'],return_type='long'))
p.set_edgecolor(c)
subplot.add_patch(p)
def _render_on_subplot(self, subplot):
"""
TESTS::
sage: C = circle((2,pi), 2, edgecolor='black', facecolor='green', fill=True)
"""
import matplotlib.patches as patches
from sage.plot.misc import get_matplotlib_linestyle
options = self.options()
p = patches.Circle((float(self.x), float(self.y)),
float(self.r),
clip_on=options['clip'])
if not options['clip']:
self._bbox_extra_artists = [p]
p.set_linewidth(float(options['thickness']))
p.set_fill(options['fill'])
a = float(options['alpha'])
p.set_alpha(a)
ec = to_mpl_color(options['edgecolor'])
fc = to_mpl_color(options['facecolor'])
if 'rgbcolor' in options:
ec = fc = to_mpl_color(options['rgbcolor'])
p.set_edgecolor(ec)
p.set_facecolor(fc)
p.set_linestyle(
get_matplotlib_linestyle(options['linestyle'], return_type='long'))
p.set_label(options['legend_label'])
z = int(options.pop('zorder', 0))
p.set_zorder(z)
subplot.add_patch(p)
def _render_on_subplot(self, subplot):
"""
Render this arrow in a subplot. This is the key function that
defines how this arrow graphics primitive is rendered in
matplotlib's library.
EXAMPLES::
This function implicitly ends up rendering this arrow on a matplotlib subplot:
sage: arrow(path=[[(0,1), (2,-1), (4,5)]])
"""
from sage.plot.misc import get_matplotlib_linestyle
options = self.options()
width = float(options['width'])
head = options.pop('head')
if head == 0: style = '<|-'
elif head == 1: style = '-|>'
elif head == 2: style = '<|-|>'
else: raise KeyError('head parameter must be one of 0 (start), 1 (end) or 2 (both).')
arrowsize = float(options.get('arrowsize',5))
head_width=arrowsize
head_length=arrowsize*2.0
color = to_mpl_color(options['rgbcolor'])
from matplotlib.patches import FancyArrowPatch
from matplotlib.path import Path
bpath = Path(self.vertices, self.codes)
p = FancyArrowPatch(path=bpath,
lw=width, arrowstyle='%s,head_width=%s,head_length=%s'%(style,head_width, head_length),
fc=color, ec=color)
p.set_linestyle(get_matplotlib_linestyle(options['linestyle'],return_type='long'))
p.set_zorder(options['zorder'])
p.set_label(options['legend_label'])
subplot.add_patch(p)
return p
def _render_on_subplot(self, subplot):
"""
Render this line on a matplotlib subplot.
INPUT:
- ``subplot`` -- a matplotlib subplot
EXAMPLES:
This implicitly calls this function::
sage: line([(1,2), (3,-4), (2, 5), (1,2)])
"""
import matplotlib.lines as lines
options = dict(self.options())
for o in ("alpha", "legend_color", "legend_label", "linestyle", "rgbcolor", "thickness"):
if o in options:
del options[o]
p = lines.Line2D(self.xdata, self.ydata, **options)
options = self.options()
a = float(options["alpha"])
p.set_alpha(a)
p.set_linewidth(float(options["thickness"]))
p.set_color(to_mpl_color(options["rgbcolor"]))
p.set_label(options["legend_label"])
# we don't pass linestyle in directly since the drawstyles aren't
# pulled off automatically. This (I think) is a bug in matplotlib 1.0.1
if "linestyle" in options:
from sage.plot.misc import get_matplotlib_linestyle
p.set_linestyle(get_matplotlib_linestyle(options["linestyle"], return_type="short"))
subplot.add_line(p)
def _render_on_subplot(self, subplot):
"""
TESTS::
sage: C = circle((2,pi), 2, edgecolor='black', facecolor='green', fill=True)
"""
import matplotlib.patches as patches
from sage.plot.misc import get_matplotlib_linestyle
options = self.options()
p = patches.Circle((float(self.x), float(self.y)), float(self.r), clip_on=options['clip'])
if not options['clip']:
self._bbox_extra_artists=[p]
p.set_linewidth(float(options['thickness']))
p.set_fill(options['fill'])
a = float(options['alpha'])
p.set_alpha(a)
ec = to_mpl_color(options['edgecolor'])
fc = to_mpl_color(options['facecolor'])
if 'rgbcolor' in options:
ec = fc = to_mpl_color(options['rgbcolor'])
p.set_edgecolor(ec)
p.set_facecolor(fc)
p.set_linestyle(get_matplotlib_linestyle(options['linestyle'],return_type='long'))
p.set_label(options['legend_label'])
z = int(options.pop('zorder', 0))
p.set_zorder(z)
subplot.add_patch(p)
def _render_on_subplot(self, subplot):
"""
Render this arrow in a subplot.
This is the key function that defines how this arrow graphics
primitive is rendered in matplotlib's library.
EXAMPLES:
This function implicitly ends up rendering this arrow on a matplotlib
subplot::
sage: arrow(path=[[(0,1), (2,-1), (4,5)]])
Graphics object consisting of 1 graphics primitive
"""
from sage.plot.misc import get_matplotlib_linestyle
options = self.options()
width = float(options['width'])
head = options.pop('head')
if head == 0:
style = '<|-'
elif head == 1:
style = '-|>'
elif head == 2:
style = '<|-|>'
else:
raise KeyError(
'head parameter must be one of 0 (start), 1 (end) or 2 (both).'
)
arrowsize = float(options.get('arrowsize', 5))
head_width = arrowsize
head_length = arrowsize * 2.0
color = to_mpl_color(options['rgbcolor'])
from matplotlib.patches import FancyArrowPatch
from matplotlib.path import Path
bpath = Path(self.vertices, self.codes)
p = FancyArrowPatch(path=bpath,
lw=width,
arrowstyle='%s,head_width=%s,head_length=%s' %
(style, head_width, head_length),
fc=color,
ec=color,
linestyle=get_matplotlib_linestyle(
options['linestyle'], return_type='long'))
p.set_zorder(options['zorder'])
p.set_label(options['legend_label'])
subplot.add_patch(p)
return p
def _render_on_subplot(self, subplot):
"""
Render this arrow in a subplot. This is the key function that
defines how this arrow graphics primitive is rendered in
matplotlib's library.
EXAMPLES::
This function implicitly ends up rendering this arrow on a matplotlib subplot:
sage: arrow(path=[[(0,1), (2,-1), (4,5)]])
Graphics object consisting of 1 graphics primitive
"""
from sage.plot.misc import get_matplotlib_linestyle
options = self.options()
width = float(options["width"])
head = options.pop("head")
if head == 0:
style = "<|-"
elif head == 1:
style = "-|>"
elif head == 2:
style = "<|-|>"
else:
raise KeyError("head parameter must be one of 0 (start), 1 (end) or 2 (both).")
arrowsize = float(options.get("arrowsize", 5))
head_width = arrowsize
head_length = arrowsize * 2.0
color = to_mpl_color(options["rgbcolor"])
from matplotlib.patches import FancyArrowPatch
from matplotlib.path import Path
bpath = Path(self.vertices, self.codes)
p = FancyArrowPatch(
path=bpath,
lw=width,
arrowstyle="%s,head_width=%s,head_length=%s" % (style, head_width, head_length),
fc=color,
ec=color,
)
p.set_linestyle(get_matplotlib_linestyle(options["linestyle"], return_type="long"))
p.set_zorder(options["zorder"])
p.set_label(options["legend_label"])
subplot.add_patch(p)
return p
def __init__(self, datalist, options):
"""
Initialize a ``Histogram`` primitive along with
its options.
EXAMPLES::
sage: from sage.plot.histogram import Histogram
sage: Histogram([10,3,5], {'width':0.7})
Histogram defined by a data list of size 3
"""
import numpy as np
self.datalist=np.asarray(datalist,dtype=float)
if 'linestyle' in options:
from sage.plot.misc import get_matplotlib_linestyle
options['linestyle'] = get_matplotlib_linestyle(
options['linestyle'], return_type='long')
GraphicPrimitive.__init__(self, options)
def __init__(self, datalist, options):
"""
Initialize a ``Histogram`` primitive along with
its options.
EXAMPLES::
sage: from sage.plot.histogram import Histogram
sage: Histogram([10,3,5], {'width':0.7})
Histogram defined by a data list of size 3
"""
import numpy as np
self.datalist = np.asarray(datalist, dtype=float)
if 'linestyle' in options:
from sage.plot.misc import get_matplotlib_linestyle
options['linestyle'] = get_matplotlib_linestyle(
options['linestyle'], return_type='long')
GraphicPrimitive.__init__(self, options)
def _render_on_subplot(self, subplot):
"""
Render this Bezier path in a subplot. This is the key function that
defines how this Bezier path graphics primitive is rendered in matplotlib's
library.
TESTS::
sage: bezier_path([[(0,1),(.5,0),(1,1)]])
Graphics object consisting of 1 graphics primitive
::
sage: bezier_path([[(0,1),(.5,0),(1,1),(-3,5)]])
Graphics object consisting of 1 graphics primitive
"""
from matplotlib.patches import PathPatch
from matplotlib.path import Path
from sage.plot.misc import get_matplotlib_linestyle
options = dict(self.options())
del options['alpha']
del options['thickness']
del options['rgbcolor']
del options['zorder']
del options['fill']
del options['linestyle']
bpath = Path(self.vertices, self.codes)
bpatch = PathPatch(bpath, **options)
options = self.options()
bpatch.set_linewidth(float(options['thickness']))
bpatch.set_fill(options['fill'])
bpatch.set_zorder(options['zorder'])
a = float(options['alpha'])
bpatch.set_alpha(a)
c = to_mpl_color(options['rgbcolor'])
bpatch.set_edgecolor(c)
bpatch.set_facecolor(c)
bpatch.set_linestyle(
get_matplotlib_linestyle(options['linestyle'], return_type='long'))
subplot.add_patch(bpatch)
def _render_on_subplot(self, subplot):
"""
Render this Bezier path in a subplot. This is the key function that
defines how this Bezier path graphics primitive is rendered in matplotlib's
library.
TESTS::
sage: bezier_path([[(0,1),(.5,0),(1,1)]])
Graphics object consisting of 1 graphics primitive
::
sage: bezier_path([[(0,1),(.5,0),(1,1),(-3,5)]])
Graphics object consisting of 1 graphics primitive
"""
from matplotlib.patches import PathPatch
from matplotlib.path import Path
from sage.plot.misc import get_matplotlib_linestyle
options = dict(self.options())
del options['alpha']
del options['thickness']
del options['rgbcolor']
del options['zorder']
del options['fill']
del options['linestyle']
bpath = Path(self.vertices, self.codes)
bpatch = PathPatch(bpath, **options)
options = self.options()
bpatch.set_linewidth(float(options['thickness']))
bpatch.set_fill(options['fill'])
bpatch.set_zorder(options['zorder'])
a = float(options['alpha'])
bpatch.set_alpha(a)
c = to_mpl_color(options['rgbcolor'])
bpatch.set_edgecolor(c)
bpatch.set_facecolor(c)
bpatch.set_linestyle(get_matplotlib_linestyle(options['linestyle'], return_type='long'))
subplot.add_patch(bpatch)
def _render_on_subplot(self, subplot):
"""
TESTS::
sage: A = arc((1,1),3,4,pi/4,(pi,4*pi/3)); A
Graphics object consisting of 1 graphics primitive
"""
from sage.plot.misc import get_matplotlib_linestyle
options = self.options()
p = self._matplotlib_arc()
p.set_linewidth(float(options['thickness']))
a = float(options['alpha'])
p.set_alpha(a)
z = int(options.pop('zorder', 1))
p.set_zorder(z)
c = to_mpl_color(options['rgbcolor'])
p.set_linestyle(get_matplotlib_linestyle(options['linestyle'],
return_type='long'))
p.set_edgecolor(c)
subplot.add_patch(p)
def _render_on_subplot(self, subplot):
"""
TESTS::
sage: A = arc((1,1),3,4,pi/4,(pi,4*pi/3)); A
Graphics object consisting of 1 graphics primitive
"""
from sage.plot.misc import get_matplotlib_linestyle
options = self.options()
p = self._matplotlib_arc()
p.set_linewidth(float(options['thickness']))
a = float(options['alpha'])
p.set_alpha(a)
z = int(options.pop('zorder', 1))
p.set_zorder(z)
c = to_mpl_color(options['rgbcolor'])
p.set_linestyle(
get_matplotlib_linestyle(options['linestyle'], return_type='long'))
p.set_edgecolor(c)
subplot.add_patch(p)
def _render_on_subplot(self, subplot):
"""
Render this ellipse in a subplot. This is the key function that
defines how this ellipse graphics primitive is rendered in matplotlib's
library.
TESTS::
sage: ellipse((0,0),3,1,pi/6,fill=True,alpha=0.3)
Graphics object consisting of 1 graphics primitive
::
sage: ellipse((3,2),1,2)
Graphics object consisting of 1 graphics primitive
"""
import matplotlib.patches as patches
from sage.plot.misc import get_matplotlib_linestyle
options = self.options()
p = patches.Ellipse((self.x, self.y), self.r1 * 2., self.r2 * 2.,
self.angle / pi * 180.)
p.set_linewidth(float(options['thickness']))
p.set_fill(options['fill'])
a = float(options['alpha'])
p.set_alpha(a)
ec = to_mpl_color(options['edgecolor'])
fc = to_mpl_color(options['facecolor'])
if 'rgbcolor' in options:
ec = fc = to_mpl_color(options['rgbcolor'])
p.set_edgecolor(ec)
p.set_facecolor(fc)
p.set_linestyle(
get_matplotlib_linestyle(options['linestyle'], return_type='long'))
p.set_label(options['legend_label'])
z = int(options.pop('zorder', 0))
p.set_zorder(z)
subplot.add_patch(p)
def _render_on_subplot(self, subplot):
"""
Render this ellipse in a subplot. This is the key function that
defines how this ellipse graphics primitive is rendered in matplotlib's
library.
TESTS::
sage: ellipse((0,0),3,1,pi/6,fill=True,alpha=0.3)
Graphics object consisting of 1 graphics primitive
::
sage: ellipse((3,2),1,2)
Graphics object consisting of 1 graphics primitive
"""
import matplotlib.patches as patches
from sage.plot.misc import get_matplotlib_linestyle
options = self.options()
p = patches.Ellipse(
(self.x,self.y),
self.r1*2.,self.r2*2.,self.angle/pi*180.)
p.set_linewidth(float(options['thickness']))
p.set_fill(options['fill'])
a = float(options['alpha'])
p.set_alpha(a)
ec = to_mpl_color(options['edgecolor'])
fc = to_mpl_color(options['facecolor'])
if 'rgbcolor' in options:
ec = fc = to_mpl_color(options['rgbcolor'])
p.set_edgecolor(ec)
p.set_facecolor(fc)
p.set_linestyle(get_matplotlib_linestyle(options['linestyle'],return_type='long'))
p.set_label(options['legend_label'])
z = int(options.pop('zorder', 0))
p.set_zorder(z)
subplot.add_patch(p)
def _render_on_subplot(self, subplot):
r"""
Render this arrow in a subplot.
This version of the method uses a narrower arrow head,
which is not customizable by parameters in the Sage class.
"""
from sage.plot.misc import get_matplotlib_linestyle
options = self.options()
head = options.pop('head')
if head == 0: style = '<|-'
elif head == 1: style = '-|>'
elif head == 2: style = '<|-|>'
else: raise KeyError('head parameter must be one of 0 (start), 1 (end) or 2 (both).')
style='fancy'
width = float(options['width'])
arrowshorten_end = float(options.get('arrowshorten', 0)) / 2.0
arrowsize = float(options.get('arrowsize', 5))
#head_width = arrowsize * 0.5
head_width = arrowsize * 0.7
tail_width = arrowsize * 0.7
head_length = arrowsize * 2.0
color = to_mpl_color(options['rgbcolor'])
from matplotlib.patches import FancyArrowPatch
p = FancyArrowPatch((self.xtail, self.ytail), (self.xhead, self.yhead),
lw=width,
arrowstyle='%s,head_width=%s,head_length=%s,tail_width=%s' % (style, head_width, head_length, tail_width),
shrinkA=arrowshorten_end, shrinkB=arrowshorten_end,
fc=color, ec=color,
linestyle=get_matplotlib_linestyle(options['linestyle'], return_type='long'))
p.set_zorder(options['zorder'])
p.set_label(options['legend_label'])
subplot.add_patch(p)
return p
def _render_on_subplot(self, subplot):
"""
TESTS:
A somewhat random plot, but fun to look at::
sage: x,y = var('x,y')
sage: contour_plot(x^2-y^3+10*sin(x*y), (x, -4, 4), (y, -4, 4),plot_points=121,cmap='hsv')
Graphics object consisting of 1 graphics primitive
"""
from sage.rings.integer import Integer
options = self.options()
fill = options['fill']
contours = options['contours']
if 'cmap' in options:
cmap = get_cmap(options['cmap'])
elif fill or contours is None:
cmap = get_cmap('gray')
else:
if isinstance(contours, (int, Integer)):
cmap = get_cmap([(i, i, i)
for i in xsrange(0, 1, 1 / contours)])
else:
l = Integer(len(contours))
cmap = get_cmap([(i, i, i) for i in xsrange(0, 1, 1 / l)])
x0, x1 = float(self.xrange[0]), float(self.xrange[1])
y0, y1 = float(self.yrange[0]), float(self.yrange[1])
if isinstance(contours, (int, Integer)):
contours = int(contours)
CSF = None
if fill:
if contours is None:
CSF = subplot.contourf(self.xy_data_array,
cmap=cmap,
extent=(x0, x1, y0, y1),
label=options['legend_label'])
else:
CSF = subplot.contourf(self.xy_data_array,
contours,
cmap=cmap,
extent=(x0, x1, y0, y1),
extend='both',
label=options['legend_label'])
linewidths = options.get('linewidths', None)
if isinstance(linewidths, (int, Integer)):
linewidths = int(linewidths)
elif isinstance(linewidths, (list, tuple)):
linewidths = tuple(int(x) for x in linewidths)
from sage.plot.misc import get_matplotlib_linestyle
linestyles = options.get('linestyles', None)
if isinstance(linestyles, (list, tuple)):
linestyles = [
get_matplotlib_linestyle(l, 'long') for l in linestyles
]
else:
linestyles = get_matplotlib_linestyle(linestyles, 'long')
if contours is None:
CS = subplot.contour(self.xy_data_array,
cmap=cmap,
extent=(x0, x1, y0, y1),
linewidths=linewidths,
linestyles=linestyles,
label=options['legend_label'])
else:
CS = subplot.contour(self.xy_data_array,
contours,
cmap=cmap,
extent=(x0, x1, y0, y1),
linewidths=linewidths,
linestyles=linestyles,
label=options['legend_label'])
if options.get('labels', False):
label_options = options['label_options']
label_options['fontsize'] = int(label_options['fontsize'])
if fill and label_options is None:
label_options['inline'] = False
subplot.clabel(CS, **label_options)
if options.get('colorbar', False):
colorbar_options = options['colorbar_options']
from matplotlib import colorbar
cax, kwds = colorbar.make_axes_gridspec(subplot,
**colorbar_options)
if CSF is None:
cb = colorbar.Colorbar(cax, CS, **kwds)
else:
cb = colorbar.Colorbar(cax, CSF, **kwds)
cb.add_lines(CS)
def _render_on_subplot(self, subplot):
"""
TESTS:
A somewhat random plot, but fun to look at::
sage: x,y = var('x,y')
sage: contour_plot(x^2-y^3+10*sin(x*y), (x, -4, 4), (y, -4, 4),plot_points=121,cmap='hsv')
"""
from sage.rings.integer import Integer
options = self.options()
fill = options['fill']
contours = options['contours']
if options.has_key('cmap'):
cmap = get_cmap(options['cmap'])
elif fill or contours is None:
cmap = get_cmap('gray')
else:
if isinstance(contours, (int, Integer)):
cmap = get_cmap([(i,i,i) for i in xsrange(0,1,1/contours)])
else:
l = Integer(len(contours))
cmap = get_cmap([(i,i,i) for i in xsrange(0,1,1/l)])
x0,x1 = float(self.xrange[0]), float(self.xrange[1])
y0,y1 = float(self.yrange[0]), float(self.yrange[1])
if isinstance(contours, (int, Integer)):
contours = int(contours)
CSF=None
if fill:
if contours is None:
CSF=subplot.contourf(self.xy_data_array, cmap=cmap, extent=(x0,x1,y0,y1), label=options['legend_label'])
else:
CSF=subplot.contourf(self.xy_data_array, contours, cmap=cmap, extent=(x0,x1,y0,y1),extend='both', label=options['legend_label'])
linewidths = options.get('linewidths',None)
if isinstance(linewidths, (int, Integer)):
linewidths = int(linewidths)
elif isinstance(linewidths, (list, tuple)):
linewidths = tuple(int(x) for x in linewidths)
from sage.plot.misc import get_matplotlib_linestyle
linestyles = options.get('linestyles', None)
if isinstance(linestyles, (list, tuple)):
linestyles = [get_matplotlib_linestyle(l, 'long') for l in linestyles]
else:
linestyles = get_matplotlib_linestyle(linestyles, 'long')
if contours is None:
CS = subplot.contour(self.xy_data_array, cmap=cmap, extent=(x0,x1,y0,y1),
linewidths=linewidths, linestyles=linestyles, label=options['legend_label'])
else:
CS = subplot.contour(self.xy_data_array, contours, cmap=cmap, extent=(x0,x1,y0,y1),
linewidths=linewidths, linestyles=linestyles, label=options['legend_label'])
if options.get('labels', False):
label_options = options['label_options']
label_options['fontsize'] = int(label_options['fontsize'])
if fill and label_options is None:
label_options['inline']=False
subplot.clabel(CS, **label_options)
if options.get('colorbar', False):
colorbar_options = options['colorbar_options']
from matplotlib import colorbar
cax,kwds=colorbar.make_axes_gridspec(subplot,**colorbar_options)
if CSF is None:
cb=colorbar.Colorbar(cax,CS, **kwds)
else:
cb=colorbar.Colorbar(cax,CSF, **kwds)
cb.add_lines(CS)
def set_edges(self, **edge_options):
"""
Sets the edge (or arrow) plotting parameters for the ``GraphPlot`` object.
This function is called by the constructor but can also be called to make
updates to the vertex options of an existing ``GraphPlot`` object. Note
that the changes are cumulative.
EXAMPLES::
sage: g = Graph({}, loops=True, multiedges=True, sparse=True)
sage: g.add_edges([(0,0,'a'),(0,0,'b'),(0,1,'c'),(0,1,'d'),
... (0,1,'e'),(0,1,'f'),(0,1,'f'),(2,1,'g'),(2,2,'h')])
sage: GP = g.graphplot(vertex_size=100, edge_labels=True, color_by_label=True, edge_style='dashed')
sage: GP.set_edges(edge_style='solid')
sage: GP.plot()
Graphics object consisting of 22 graphics primitives
sage: GP.set_edges(edge_color='black')
sage: GP.plot()
Graphics object consisting of 22 graphics primitives
sage: d = DiGraph({}, loops=True, multiedges=True, sparse=True)
sage: d.add_edges([(0,0,'a'),(0,0,'b'),(0,1,'c'),(0,1,'d'),
... (0,1,'e'),(0,1,'f'),(0,1,'f'),(2,1,'g'),(2,2,'h')])
sage: GP = d.graphplot(vertex_size=100, edge_labels=True, color_by_label=True, edge_style='dashed')
sage: GP.set_edges(edge_style='solid')
sage: GP.plot()
Graphics object consisting of 24 graphics primitives
sage: GP.set_edges(edge_color='black')
sage: GP.plot()
Graphics object consisting of 24 graphics primitives
TESTS::
sage: G = Graph("Fooba")
sage: G.show(edge_colors={'red':[(3,6),(2,5)]})
Verify that default edge labels are pretty close to being between the vertices
in some cases where they weren't due to truncating division (:trac:`10124`)::
sage: test_graphs = graphs.FruchtGraph(), graphs.BullGraph()
sage: tol = 0.001
sage: for G in test_graphs:
... E=G.edges()
... for e0, e1, elab in E:
... G.set_edge_label(e0, e1, '%d %d' % (e0, e1))
... gp = G.graphplot(save_pos=True,edge_labels=True)
... vx = gp._plot_components['vertices'][0].xdata
... vy = gp._plot_components['vertices'][0].ydata
... for elab in gp._plot_components['edge_labels']:
... textobj = elab[0]
... x, y, s = textobj.x, textobj.y, textobj.string
... v0, v1 = map(int, s.split())
... vn = vector(((x-(vx[v0]+vx[v1])/2.),y-(vy[v0]+vy[v1])/2.)).norm()
... assert vn < tol
"""
for arg in edge_options:
self._options[arg] = edge_options[arg]
if 'edge_colors' in edge_options:
self._options['color_by_label'] = False
# Handle base edge options: thickness, linestyle
eoptions = {}
if 'edge_style' in self._options:
from sage.plot.misc import get_matplotlib_linestyle
eoptions['linestyle'] = get_matplotlib_linestyle(
self._options['edge_style'], return_type='long')
if 'thickness' in self._options:
eoptions['thickness'] = self._options['thickness']
# Set labels param to add labels on the fly
labels = False
if self._options['edge_labels']:
labels = True
self._plot_components['edge_labels'] = []
# Make dict collection of all edges (keep label and edge color)
edges_to_draw = {}
if self._options['color_by_label'] or isinstance(
self._options['edge_colors'], dict):
if self._options['color_by_label']:
edge_colors = self._graph._color_by_label(
format=self._options['color_by_label'])
else:
edge_colors = self._options['edge_colors']
for color in edge_colors:
for edge in edge_colors[color]:
key = tuple(sorted([edge[0], edge[1]]))
if key == (edge[0], edge[1]): head = 1
else: head = 0
if len(edge) < 3:
label = self._graph.edge_label(edge[0], edge[1])
if isinstance(label, list):
if key in edges_to_draw:
edges_to_draw[key].append(
(label[-1], color, head))
else:
edges_to_draw[key] = [(label[-1], color, head)]
for i in range(len(label) - 1):
edges_to_draw[key].append(
(label[-1], color, head))
else:
label = edge[2]
if key in edges_to_draw:
edges_to_draw[key].append((label, color, head))
else:
edges_to_draw[key] = [(label, color, head)]
# add unspecified edges in (default color black)
for edge in self._graph.edge_iterator():
key = tuple(sorted([edge[0], edge[1]]))
label = edge[2]
specified = False
if key in edges_to_draw:
for old_label, old_color, old_head in edges_to_draw[key]:
if label == old_label:
specified = True
break
if not specified:
if key == (edge[0], edge[1]): head = 1
else: head = 0
edges_to_draw[key] = [(label, 'black', head)]
else:
for edge in self._graph.edges(sort=True):
key = tuple(sorted([edge[0], edge[1]]))
if key == (edge[0], edge[1]): head = 1
else: head = 0
if key in edges_to_draw:
edges_to_draw[key].append(
(edge[2], self._options['edge_color'], head))
else:
edges_to_draw[key] = [(edge[2],
self._options['edge_color'], head)]
if edges_to_draw:
self._plot_components['edges'] = []
else:
return
# Check for multi-edges or loops
if self._arcs or self._loops:
tmp = edges_to_draw.copy()
dist = self._options['dist'] * 2.
loop_size = self._options['loop_size']
max_dist = self._options['max_dist']
from sage.functions.all import sqrt
for (a, b) in tmp:
if a == b:
# Loops
distance = dist
local_labels = edges_to_draw.pop((a, b))
if len(local_labels) * dist > max_dist:
distance = float(max_dist) / len(local_labels)
curr_loop_size = loop_size
for i in range(len(local_labels)):
self._plot_components['edges'].append(
circle((self._pos[a][0],
self._pos[a][1] - curr_loop_size),
curr_loop_size,
rgbcolor=local_labels[i][1],
**eoptions))
if labels:
self._plot_components['edge_labels'].append(
text(local_labels[i][0],
(self._pos[a][0],
self._pos[a][1] - 2 * curr_loop_size)))
curr_loop_size += distance / 4
elif len(edges_to_draw[(a, b)]) > 1:
# Multi-edge
local_labels = edges_to_draw.pop((a, b))
# Compute perpendicular bisector
p1 = self._pos[a]
p2 = self._pos[b]
M = (
(p1[0] + p2[0]) / 2., (p1[1] + p2[1]) / 2.) # midpoint
if not p1[1] == p2[1]:
S = float(p1[0] - p2[0]) / (p2[1] - p1[1]
) # perp slope
y = lambda x: S * x - S * M[0] + M[
1] # perp bisector line
# f,g are functions of distance d to determine x values
# on line y at d from point M
f = lambda d: sqrt(d**2 / (1. + S**2)) + M[0]
g = lambda d: -sqrt(d**2 / (1. + S**2)) + M[0]
odd_x = f
even_x = g
if p1[0] == p2[0]:
odd_y = lambda d: M[1]
even_y = odd_y
else:
odd_y = lambda x: y(f(x))
even_y = lambda x: y(g(x))
else:
odd_x = lambda d: M[0]
even_x = odd_x
odd_y = lambda d: M[1] + d
even_y = lambda d: M[1] - d
# We now have the control points for each bezier curve
# in terms of distance parameter d.
# Also note that the label for each edge should be drawn at d/2.
# (This is because we're using the perp bisectors).
distance = dist
if len(local_labels) * dist > max_dist:
distance = float(max_dist) / len(local_labels)
for i in range(len(local_labels) // 2):
k = (i + 1.0) * distance
if self._arcdigraph:
odd_start = self._polar_hack_for_multidigraph(
p1, [odd_x(k), odd_y(k)],
self._vertex_radius)[0]
odd_end = self._polar_hack_for_multidigraph(
[odd_x(k), odd_y(k)], p2,
self._vertex_radius)[1]
even_start = self._polar_hack_for_multidigraph(
p1, [even_x(k), even_y(k)],
self._vertex_radius)[0]
even_end = self._polar_hack_for_multidigraph(
[even_x(k), even_y(k)], p2,
self._vertex_radius)[1]
self._plot_components['edges'].append(
arrow(path=[[
odd_start, [odd_x(k), odd_y(k)], odd_end
]],
head=local_labels[2 * i][2],
zorder=1,
rgbcolor=local_labels[2 * i][1],
**eoptions))
self._plot_components['edges'].append(
arrow(path=[[
even_start, [even_x(k),
even_y(k)], even_end
]],
head=local_labels[2 * i + 1][2],
zorder=1,
rgbcolor=local_labels[2 * i + 1][1],
**eoptions))
else:
self._plot_components['edges'].append(
bezier_path(
[[p1, [odd_x(k), odd_y(k)], p2]],
zorder=1,
rgbcolor=local_labels[2 * i][1],
**eoptions))
self._plot_components['edges'].append(
bezier_path(
[[p1, [even_x(k), even_y(k)], p2]],
zorder=1,
rgbcolor=local_labels[2 * i + 1][1],
**eoptions))
if labels:
j = k / 2.0
self._plot_components['edge_labels'].append(
text(local_labels[2 * i][0],
[odd_x(j), odd_y(j)]))
self._plot_components['edge_labels'].append(
text(local_labels[2 * i + 1][0],
[even_x(j), even_y(j)]))
if len(local_labels) % 2 == 1:
edges_to_draw[(a, b)] = [local_labels[-1]
] # draw line for last odd
dir = self._graph.is_directed()
for (a, b) in edges_to_draw:
if self._arcdigraph:
C, D = self._polar_hack_for_multidigraph(
self._pos[a], self._pos[b], self._vertex_radius)
self._plot_components['edges'].append(
arrow(C,
D,
rgbcolor=edges_to_draw[(a, b)][0][1],
head=edges_to_draw[(a, b)][0][2],
**eoptions))
if labels:
self._plot_components['edge_labels'].append(
text(str(edges_to_draw[(a, b)][0][0]),
[(C[0] + D[0]) / 2., (C[1] + D[1]) / 2.]))
elif dir:
self._plot_components['edges'].append(
arrow(self._pos[a],
self._pos[b],
rgbcolor=edges_to_draw[(a, b)][0][1],
arrowshorten=self._arrowshorten,
head=edges_to_draw[(a, b)][0][2],
**eoptions))
else:
self._plot_components['edges'].append(
line([self._pos[a], self._pos[b]],
rgbcolor=edges_to_draw[(a, b)][0][1],
**eoptions))
if labels and not self._arcdigraph:
self._plot_components['edge_labels'].append(
text(str(edges_to_draw[(a, b)][0][0]),
[(self._pos[a][0] + self._pos[b][0]) / 2.,
(self._pos[a][1] + self._pos[b][1]) / 2.]))
def _render_on_subplot(self, subplot):
r"""
Render this arrow in a subplot. This is the key function that
defines how this arrow graphics primitive is rendered in
matplotlib's library.
EXAMPLES:
This function implicitly ends up rendering this arrow on
a matplotlib subplot::
sage: arrow((0,1), (2,-1))
Graphics object consisting of 1 graphics primitive
TESTS:
The length of the ends (shrinkA and shrinkB) should not depend
on the width of the arrow, because Matplotlib already takes
this into account. See :trac:`12836`::
sage: fig = Graphics().matplotlib()
sage: sp = fig.add_subplot(1,1,1)
sage: a = arrow((0,0), (1,1))
sage: b = arrow((0,0), (1,1), width=20)
sage: p1 = a[0]._render_on_subplot(sp)
sage: p2 = b[0]._render_on_subplot(sp)
sage: p1.shrinkA == p2.shrinkA
True
sage: p1.shrinkB == p2.shrinkB
True
Dashed arrows should have solid arrowheads,
:trac:`12852`. This test saves the plot of a dashed arrow to
an EPS file. Within the EPS file, ``stroke`` will be called
twice: once to draw the line, and again to draw the
arrowhead. We check that both calls do not occur while the
dashed line style is enabled::
sage: a = arrow((0,0), (1,1), linestyle='dashed')
sage: filename = tmp_filename(ext='.eps')
sage: a.save(filename=filename)
sage: with open(filename, 'r') as f:
....: contents = f.read().replace('\n', ' ')
sage: two_stroke_pattern = r'setdash.*stroke.*stroke.*setdash'
sage: import re
sage: two_stroke_re = re.compile(two_stroke_pattern)
sage: two_stroke_re.search(contents) is None
True
"""
from sage.plot.misc import get_matplotlib_linestyle
options = self.options()
head = options.pop('head')
if head == 0: style = '<|-'
elif head == 1: style = '-|>'
elif head == 2: style = '<|-|>'
else:
raise KeyError(
'head parameter must be one of 0 (start), 1 (end) or 2 (both).'
)
width = float(options['width'])
arrowshorten_end = float(options.get('arrowshorten', 0)) / 2.0
arrowsize = float(options.get('arrowsize', 5))
head_width = arrowsize
head_length = arrowsize * 2.0
color = to_mpl_color(options['rgbcolor'])
from matplotlib.patches import FancyArrowPatch
p = FancyArrowPatch((self.xtail, self.ytail), (self.xhead, self.yhead),
lw=width,
arrowstyle='%s,head_width=%s,head_length=%s' %
(style, head_width, head_length),
shrinkA=arrowshorten_end,
shrinkB=arrowshorten_end,
fc=color,
ec=color)
p.set_linestyle(
get_matplotlib_linestyle(options['linestyle'], return_type='long'))
p.set_zorder(options['zorder'])
p.set_label(options['legend_label'])
if options['linestyle'] != 'solid':
# The next few lines work around a design issue in matplotlib. Currently, the specified
# linestyle is used to draw both the path and the arrowhead. If linestyle is 'dashed', this
# looks really odd. This code is from Jae-Joon Lee in response to a post to the matplotlib mailing
# list. See http://sourceforge.net/mailarchive/forum.php?thread_name=CAG%3DuJ%2Bnw2dE05P9TOXTz_zp-mGP3cY801vMH7yt6vgP9_WzU8w%40mail.gmail.com&forum_name=matplotlib-users
import matplotlib.patheffects as pe
class CheckNthSubPath(object):
def __init__(self, patch, n):
"""
creates an callable object that returns True if the provided
path is the n-th path from the patch.
"""
self._patch = patch
self._n = n
def get_paths(self, renderer):
self._patch.set_dpi_cor(renderer.points_to_pixels(1.))
paths, fillables = self._patch.get_path_in_displaycoord()
return paths
def __call__(self, renderer, gc, tpath, affine, rgbFace):
path = self.get_paths(renderer)[self._n]
vert1, code1 = path.vertices, path.codes
import numpy as np
return np.array_equal(vert1,
tpath.vertices) and np.array_equal(
code1, tpath.codes)
class ConditionalStroke(pe.RendererBase):
def __init__(self, condition_func, pe_list):
"""
path effect that is only applied when the condition_func
returns True.
"""
super(ConditionalStroke, self).__init__()
self._pe_list = pe_list
self._condition_func = condition_func
def draw_path(self, renderer, gc, tpath, affine, rgbFace):
if self._condition_func(renderer, gc, tpath, affine,
rgbFace):
for pe1 in self._pe_list:
pe1.draw_path(renderer, gc, tpath, affine, rgbFace)
pe1 = ConditionalStroke(CheckNthSubPath(p, 0), [pe.Stroke()])
pe2 = ConditionalStroke(CheckNthSubPath(p, 1),
[pe.Stroke(linestyle="solid")])
p.set_path_effects([pe1, pe2])
subplot.add_patch(p)
return p
def set_edges(self, **edge_options):
"""
Sets the edge (or arrow) plotting parameters for the ``GraphPlot`` object.
This function is called by the constructor but can also be called to make
updates to the vertex options of an existing ``GraphPlot`` object. Note
that the changes are cumulative.
EXAMPLES::
sage: g = Graph({}, loops=True, multiedges=True, sparse=True)
sage: g.add_edges([(0,0,'a'),(0,0,'b'),(0,1,'c'),(0,1,'d'),
... (0,1,'e'),(0,1,'f'),(0,1,'f'),(2,1,'g'),(2,2,'h')])
sage: GP = g.graphplot(vertex_size=100, edge_labels=True, color_by_label=True, edge_style='dashed')
sage: GP.set_edges(edge_style='solid')
sage: GP.plot()
Graphics object consisting of 22 graphics primitives
sage: GP.set_edges(edge_color='black')
sage: GP.plot()
Graphics object consisting of 22 graphics primitives
sage: d = DiGraph({}, loops=True, multiedges=True, sparse=True)
sage: d.add_edges([(0,0,'a'),(0,0,'b'),(0,1,'c'),(0,1,'d'),
... (0,1,'e'),(0,1,'f'),(0,1,'f'),(2,1,'g'),(2,2,'h')])
sage: GP = d.graphplot(vertex_size=100, edge_labels=True, color_by_label=True, edge_style='dashed')
sage: GP.set_edges(edge_style='solid')
sage: GP.plot()
Graphics object consisting of 24 graphics primitives
sage: GP.set_edges(edge_color='black')
sage: GP.plot()
Graphics object consisting of 24 graphics primitives
TESTS::
sage: G = Graph("Fooba")
sage: G.show(edge_colors={'red':[(3,6),(2,5)]})
Verify that default edge labels are pretty close to being between the vertices
in some cases where they weren't due to truncating division (:trac:`10124`)::
sage: test_graphs = graphs.FruchtGraph(), graphs.BullGraph()
sage: tol = 0.001
sage: for G in test_graphs:
... E=G.edges()
... for e0, e1, elab in E:
... G.set_edge_label(e0, e1, '%d %d' % (e0, e1))
... gp = G.graphplot(save_pos=True,edge_labels=True)
... vx = gp._plot_components['vertices'][0].xdata
... vy = gp._plot_components['vertices'][0].ydata
... for elab in gp._plot_components['edge_labels']:
... textobj = elab[0]
... x, y, s = textobj.x, textobj.y, textobj.string
... v0, v1 = map(int, s.split())
... vn = vector(((x-(vx[v0]+vx[v1])/2.),y-(vy[v0]+vy[v1])/2.)).norm()
... assert vn < tol
"""
for arg in edge_options:
self._options[arg] = edge_options[arg]
if 'edge_colors' in edge_options: self._options['color_by_label'] = False
# Handle base edge options: thickness, linestyle
eoptions={}
if 'edge_style' in self._options:
from sage.plot.misc import get_matplotlib_linestyle
eoptions['linestyle'] = get_matplotlib_linestyle(
self._options['edge_style'],
return_type='long')
if 'thickness' in self._options:
eoptions['thickness'] = self._options['thickness']
# Set labels param to add labels on the fly
labels = False
if self._options['edge_labels']:
labels = True
self._plot_components['edge_labels'] = []
# Make dict collection of all edges (keep label and edge color)
edges_to_draw = {}
if self._options['color_by_label'] or isinstance(self._options['edge_colors'], dict):
if self._options['color_by_label']:
edge_colors = self._graph._color_by_label(format=self._options['color_by_label'])
else: edge_colors = self._options['edge_colors']
for color in edge_colors:
for edge in edge_colors[color]:
key = tuple(sorted([edge[0],edge[1]]))
if key == (edge[0],edge[1]): head = 1
else: head = 0
if len(edge) < 3:
label = self._graph.edge_label(edge[0],edge[1])
if isinstance(label, list):
if key in edges_to_draw:
edges_to_draw[key].append((label[-1], color, head))
else:
edges_to_draw[key] = [(label[-1], color, head)]
for i in range(len(label)-1):
edges_to_draw[key].append((label[-1], color, head))
else:
label = edge[2]
if key in edges_to_draw:
edges_to_draw[key].append((label, color, head))
else:
edges_to_draw[key] = [(label, color, head)]
# add unspecified edges in (default color black)
for edge in self._graph.edge_iterator():
key = tuple(sorted([edge[0],edge[1]]))
label = edge[2]
specified = False
if key in edges_to_draw:
for old_label, old_color, old_head in edges_to_draw[key]:
if label == old_label:
specified = True
break
if not specified:
if key == (edge[0],edge[1]): head = 1
else: head = 0
edges_to_draw[key] = [(label, 'black', head)]
else:
for edge in self._graph.edges(sort=True):
key = tuple(sorted([edge[0],edge[1]]))
if key == (edge[0],edge[1]): head = 1
else: head = 0
if key in edges_to_draw:
edges_to_draw[key].append((edge[2], self._options['edge_color'], head))
else:
edges_to_draw[key] = [(edge[2], self._options['edge_color'], head)]
if edges_to_draw:
self._plot_components['edges'] = []
else:
return
# Check for multi-edges or loops
if self._arcs or self._loops:
tmp = edges_to_draw.copy()
dist = self._options['dist']*2.
loop_size = self._options['loop_size']
max_dist = self._options['max_dist']
from sage.functions.all import sqrt
for (a,b) in tmp:
if a == b:
# Loops
distance = dist
local_labels = edges_to_draw.pop((a,b))
if len(local_labels)*dist > max_dist:
distance = float(max_dist)/len(local_labels)
curr_loop_size = loop_size
for i in range(len(local_labels)):
self._plot_components['edges'].append(circle((self._pos[a][0],self._pos[a][1]-curr_loop_size), curr_loop_size, rgbcolor=local_labels[i][1], **eoptions))
if labels:
self._plot_components['edge_labels'].append(text(local_labels[i][0], (self._pos[a][0], self._pos[a][1]-2*curr_loop_size)))
curr_loop_size += distance/4
elif len(edges_to_draw[(a,b)]) > 1:
# Multi-edge
local_labels = edges_to_draw.pop((a,b))
# Compute perpendicular bisector
p1 = self._pos[a]
p2 = self._pos[b]
M = ((p1[0]+p2[0])/2., (p1[1]+p2[1])/2.) # midpoint
if not p1[1] == p2[1]:
S = float(p1[0]-p2[0])/(p2[1]-p1[1]) # perp slope
y = lambda x : S*x-S*M[0]+M[1] # perp bisector line
# f,g are functions of distance d to determine x values
# on line y at d from point M
f = lambda d : sqrt(d**2/(1.+S**2)) + M[0]
g = lambda d : -sqrt(d**2/(1.+S**2)) + M[0]
odd_x = f
even_x = g
if p1[0] == p2[0]:
odd_y = lambda d : M[1]
even_y = odd_y
else:
odd_y = lambda x : y(f(x))
even_y = lambda x : y(g(x))
else:
odd_x = lambda d : M[0]
even_x = odd_x
odd_y = lambda d : M[1] + d
even_y = lambda d : M[1] - d
# We now have the control points for each bezier curve
# in terms of distance parameter d.
# Also note that the label for each edge should be drawn at d/2.
# (This is because we're using the perp bisectors).
distance = dist
if len(local_labels)*dist > max_dist:
distance = float(max_dist)/len(local_labels)
for i in range(len(local_labels)//2):
k = (i+1.0)*distance
if self._arcdigraph:
odd_start = self._polar_hack_for_multidigraph(p1, [odd_x(k),odd_y(k)], self._vertex_radius)[0]
odd_end = self._polar_hack_for_multidigraph([odd_x(k),odd_y(k)], p2, self._vertex_radius)[1]
even_start = self._polar_hack_for_multidigraph(p1, [even_x(k),even_y(k)], self._vertex_radius)[0]
even_end = self._polar_hack_for_multidigraph([even_x(k),even_y(k)], p2, self._vertex_radius)[1]
self._plot_components['edges'].append(arrow(path=[[odd_start,[odd_x(k),odd_y(k)],odd_end]], head=local_labels[2*i][2], zorder=1, rgbcolor=local_labels[2*i][1], **eoptions))
self._plot_components['edges'].append(arrow(path=[[even_start,[even_x(k),even_y(k)],even_end]], head=local_labels[2*i+1][2], zorder=1, rgbcolor=local_labels[2*i+1][1], **eoptions))
else:
self._plot_components['edges'].append(bezier_path([[p1,[odd_x(k),odd_y(k)],p2]],zorder=1, rgbcolor=local_labels[2*i][1], **eoptions))
self._plot_components['edges'].append(bezier_path([[p1,[even_x(k),even_y(k)],p2]],zorder=1, rgbcolor=local_labels[2*i+1][1], **eoptions))
if labels:
j = k/2.0
self._plot_components['edge_labels'].append(text(local_labels[2*i][0],[odd_x(j),odd_y(j)]))
self._plot_components['edge_labels'].append(text(local_labels[2*i+1][0],[even_x(j),even_y(j)]))
if len(local_labels)%2 == 1:
edges_to_draw[(a,b)] = [local_labels[-1]] # draw line for last odd
dir = self._graph.is_directed()
for (a,b) in edges_to_draw:
if self._arcdigraph:
C,D = self._polar_hack_for_multidigraph(self._pos[a], self._pos[b], self._vertex_radius)
self._plot_components['edges'].append(arrow(C,D, rgbcolor=edges_to_draw[(a,b)][0][1], head=edges_to_draw[(a,b)][0][2], **eoptions))
if labels:
self._plot_components['edge_labels'].append(text(str(edges_to_draw[(a,b)][0][0]),[(C[0]+D[0])/2., (C[1]+D[1])/2.]))
elif dir:
self._plot_components['edges'].append(arrow(self._pos[a],self._pos[b], rgbcolor=edges_to_draw[(a,b)][0][1], arrowshorten=self._arrowshorten, head=edges_to_draw[(a,b)][0][2], **eoptions))
else:
self._plot_components['edges'].append(line([self._pos[a],self._pos[b]], rgbcolor=edges_to_draw[(a,b)][0][1], **eoptions))
if labels and not self._arcdigraph:
self._plot_components['edge_labels'].append(text(str(edges_to_draw[(a,b)][0][0]),[(self._pos[a][0]+self._pos[b][0])/2., (self._pos[a][1]+self._pos[b][1])/2.]))
def _render_on_subplot(self, subplot):
r"""
Render this arrow in a subplot. This is the key function that
defines how this arrow graphics primitive is rendered in
matplotlib's library.
EXAMPLES:
This function implicitly ends up rendering this arrow on
a matplotlib subplot::
sage: arrow((0,1), (2,-1))
Graphics object consisting of 1 graphics primitive
TESTS:
The length of the ends (shrinkA and shrinkB) should not depend
on the width of the arrow, because Matplotlib already takes
this into account. See :trac:`12836`::
sage: fig = Graphics().matplotlib()
sage: sp = fig.add_subplot(1,1,1, label='axis1')
sage: a = arrow((0,0), (1,1))
sage: b = arrow((0,0), (1,1), width=20)
sage: p1 = a[0]._render_on_subplot(sp)
sage: p2 = b[0]._render_on_subplot(sp)
sage: p1.shrinkA == p2.shrinkA
True
sage: p1.shrinkB == p2.shrinkB
True
Dashed arrows should have solid arrowheads, :trac:`12852`. We tried to
make up a test for this, which turned out to be fragile and hence was
removed. In general, robust testing of graphics seems basically need a
human eye or AI.
"""
from sage.plot.misc import get_matplotlib_linestyle
options = self.options()
head = options.pop('head')
if head == 0: style = '<|-'
elif head == 1: style = '-|>'
elif head == 2: style = '<|-|>'
else:
raise KeyError(
'head parameter must be one of 0 (start), 1 (end) or 2 (both).'
)
width = float(options['width'])
arrowshorten_end = float(options.get('arrowshorten', 0)) / 2.0
arrowsize = float(options.get('arrowsize', 5))
head_width = arrowsize
head_length = arrowsize * 2.0
color = to_mpl_color(options['rgbcolor'])
from matplotlib.patches import FancyArrowPatch
p = FancyArrowPatch(
(self.xtail, self.ytail), (self.xhead, self.yhead),
lw=width,
arrowstyle='%s,head_width=%s,head_length=%s' %
(style, head_width, head_length),
shrinkA=arrowshorten_end,
shrinkB=arrowshorten_end,
fc=color,
ec=color,
linestyle=get_matplotlib_linestyle(options['linestyle'],
return_type='long'))
p.set_zorder(options['zorder'])
p.set_label(options['legend_label'])
if options['linestyle'] != 'solid':
# The next few lines work around a design issue in matplotlib.
# Currently, the specified linestyle is used to draw both the path
# and the arrowhead. If linestyle is 'dashed', this looks really
# odd. This code is from Jae-Joon Lee in response to a post to the
# matplotlib mailing list.
# See http://sourceforge.net/mailarchive/forum.php?thread_name=CAG%3DuJ%2Bnw2dE05P9TOXTz_zp-mGP3cY801vMH7yt6vgP9_WzU8w%40mail.gmail.com&forum_name=matplotlib-users
import matplotlib.patheffects as pe
class CheckNthSubPath(object):
def __init__(self, patch, n):
"""
creates an callable object that returns True if the
provided path is the n-th path from the patch.
"""
self._patch = patch
self._n = n
def get_paths(self, renderer):
self._patch.set_dpi_cor(renderer.points_to_pixels(1.))
paths, fillables = self._patch.get_path_in_displaycoord()
return paths
def __call__(self, renderer, gc, tpath, affine, rgbFace):
path = self.get_paths(renderer)[self._n]
vert1, code1 = path.vertices, path.codes
import numpy as np
return np.array_equal(vert1,
tpath.vertices) and np.array_equal(
code1, tpath.codes)
class ConditionalStroke(pe.RendererBase):
def __init__(self, condition_func, pe_list):
"""
path effect that is only applied when the condition_func
returns True.
"""
super(ConditionalStroke, self).__init__()
self._pe_list = pe_list
self._condition_func = condition_func
def draw_path(self, renderer, gc, tpath, affine, rgbFace):
if self._condition_func(renderer, gc, tpath, affine,
rgbFace):
for pe1 in self._pe_list:
pe1.draw_path(renderer, gc, tpath, affine, rgbFace)
pe1 = ConditionalStroke(CheckNthSubPath(p, 0), [pe.Stroke()])
pe2 = ConditionalStroke(
CheckNthSubPath(p, 1),
[pe.Stroke(dashes={
'dash_offset': 0,
'dash_list': None
})])
p.set_path_effects([pe1, pe2])
subplot.add_patch(p)
return p
def _render_on_subplot(self, subplot):
r"""
Render this arrow in a subplot. This is the key function that
defines how this arrow graphics primitive is rendered in
matplotlib's library.
EXAMPLES:
This function implicitly ends up rendering this arrow on
a matplotlib subplot::
sage: arrow((0,1), (2,-1))
TESTS:
The length of the ends (shrinkA and shrinkB) should not depend
on the width of the arrow, because Matplotlib already takes
this into account. See :trac:`12836`::
sage: fig = Graphics().matplotlib()
sage: sp = fig.add_subplot(1,1,1)
sage: a = arrow((0,0), (1,1))
sage: b = arrow((0,0), (1,1), width=20)
sage: p1 = a[0]._render_on_subplot(sp)
sage: p2 = b[0]._render_on_subplot(sp)
sage: p1.shrinkA == p2.shrinkA
True
sage: p1.shrinkB == p2.shrinkB
True
Dashed arrows should have solid arrowheads,
:trac:`12852`. This test saves the plot of a dashed arrow to
an EPS file. Within the EPS file, ``stroke`` will be called
twice: once to draw the line, and again to draw the
arrowhead. We check that both calls do not occur while the
dashed line style is enabled::
sage: a = arrow((0,0), (1,1), linestyle='dashed')
sage: filename = tmp_filename(ext='.eps')
sage: a.save(filename=filename)
sage: with open(filename, 'r') as f:
....: contents = f.read().replace('\n', ' ')
sage: two_stroke_pattern = r'setdash.*stroke.*stroke.*setdash'
sage: import re
sage: two_stroke_re = re.compile(two_stroke_pattern)
sage: two_stroke_re.search(contents) is None
True
"""
from sage.plot.misc import get_matplotlib_linestyle
options = self.options()
head = options.pop("head")
if head == 0:
style = "<|-"
elif head == 1:
style = "-|>"
elif head == 2:
style = "<|-|>"
else:
raise KeyError("head parameter must be one of 0 (start), 1 (end) or 2 (both).")
width = float(options["width"])
arrowshorten_end = float(options.get("arrowshorten", 0)) / 2.0
arrowsize = float(options.get("arrowsize", 5))
head_width = arrowsize
head_length = arrowsize * 2.0
color = to_mpl_color(options["rgbcolor"])
from matplotlib.patches import FancyArrowPatch
p = FancyArrowPatch(
(self.xtail, self.ytail),
(self.xhead, self.yhead),
lw=width,
arrowstyle="%s,head_width=%s,head_length=%s" % (style, head_width, head_length),
shrinkA=arrowshorten_end,
shrinkB=arrowshorten_end,
fc=color,
ec=color,
)
p.set_linestyle(get_matplotlib_linestyle(options["linestyle"], return_type="long"))
p.set_zorder(options["zorder"])
p.set_label(options["legend_label"])
if options["linestyle"] != "solid":
# The next few lines work around a design issue in matplotlib. Currently, the specified
# linestyle is used to draw both the path and the arrowhead. If linestyle is 'dashed', this
# looks really odd. This code is from Jae-Joon Lee in response to a post to the matplotlib mailing
# list. See http://sourceforge.net/mailarchive/forum.php?thread_name=CAG%3DuJ%2Bnw2dE05P9TOXTz_zp-mGP3cY801vMH7yt6vgP9_WzU8w%40mail.gmail.com&forum_name=matplotlib-users
import matplotlib.patheffects as pe
class CheckNthSubPath(object):
def __init__(self, patch, n):
"""
creates an callable object that returns True if the provided
path is the n-th path from the patch.
"""
self._patch = patch
self._n = n
def get_paths(self, renderer):
self._patch.set_dpi_cor(renderer.points_to_pixels(1.0))
paths, fillables = self._patch.get_path_in_displaycoord()
return paths
def __call__(self, renderer, gc, tpath, affine, rgbFace):
path = self.get_paths(renderer)[self._n]
vert1, code1 = path.vertices, path.codes
import numpy as np
if np.all(vert1 == tpath.vertices) and np.all(code1 == tpath.codes):
return True
else:
return False
class ConditionalStroke(pe._Base):
def __init__(self, condition_func, pe_list):
"""
path effect that is only applied when the condition_func
returns True.
"""
super(ConditionalStroke, self).__init__()
self._pe_list = pe_list
self._condition_func = condition_func
def draw_path(self, renderer, gc, tpath, affine, rgbFace):
if self._condition_func(renderer, gc, tpath, affine, rgbFace):
for pe1 in self._pe_list:
pe1.draw_path(renderer, gc, tpath, affine, rgbFace)
pe1 = ConditionalStroke(CheckNthSubPath(p, 0), [pe.Stroke()])
pe2 = ConditionalStroke(CheckNthSubPath(p, 1), [pe.Stroke(linestyle="solid")])
p.set_path_effects([pe1, pe2])
subplot.add_patch(p)
return p