class Plot(object):
"""
Plot Examples
=============
See examples/plotting.py for many more examples.
>>> from sympy import symbols, Plot
>>> x,y,z = symbols('xyz')
>>> Plot(x*y**3-y*x**3)
>>> p = Plot()
>>> p[1] = x*y
>>> p[1].color = z, (0.4,0.4,0.9), (0.9,0.4,0.4)
>>> p = Plot()
>>> p[1] = x**2+y**2
>>> p[2] = -x**2-y**2
Variable Intervals
==================
The basic format is [var, min, max, steps], but the
syntax is flexible and arguments left out are taken
from the defaults for the current coordinate mode:
>>> Plot(x**2) # implies [x,-5,5,100]
>>> Plot(x**2, [], []) # [x,-1,1,40], [y,-1,1,40]
>>> Plot(x**2-y**2, [100], [100]) # [x,-1,1,100], [y,-1,1,100]
>>> Plot(x**2, [x,-13,13,100])
>>> Plot(x**2, [-13,13]) # [x,-13,13,100]
>>> Plot(x**2, [x,-13,13]) # [x,-13,13,100]
>>> Plot(1*x, [], [x], mode='cylindrical')
... # [unbound_theta,0,2*Pi,40], [x,-1,1,20]
Coordinate Modes
================
Plot supports several curvilinear coordinate modes, and
they independent for each plotted function. You can specify
a coordinate mode explicitly with the 'mode' named argument,
but it can be automatically determined for cartesian or
parametric plots, and therefore must only be specified for
polar, cylindrical, and spherical modes.
Specifically, Plot(function arguments) and Plot[n] =
(function arguments) will interpret your arguments as a
cartesian plot if you provide one function and a parametric
plot if you provide two or three functions. Similarly, the
arguments will be interpreted as a curve is one variable is
used, and a surface if two are used.
Supported mode names by number of variables:
1: parametric, cartesian, polar
2: parametric, cartesian, cylindrical = polar, spherical
>>> Plot(1, mode='spherical')
Calculator-like Interface
=========================
>>> p = Plot(visible=False)
>>> f = x**2
>>> p[1] = f
>>> p[2] = f.diff(x)
>>> p[3] = f.diff(x).diff(x)
>>> p
[1]: x**2, 'mode=cartesian'
[2]: 2*x, 'mode=cartesian'
[3]: 2, 'mode=cartesian'
>>> p.show()
>>> p.clear()
>>> p
<blank plot>
>>> p[1] = x**2+y**2
>>> p[1].style = 'solid'
>>> p[2] = -x**2-y**2
>>> p[2].style = 'wireframe'
>>> p[1].color = z, (0.4,0.4,0.9), (0.9,0.4,0.4)
>>> p[1].style = 'both'
>>> p[2].style = 'both'
>>> p.close()
Plot Window Keyboard Controls
=============================
Screen Rotation:
X,Y axis Arrow Keys, A,S,D,W, Numpad 4,6,8,2
Z axis Q,E, Numpad 7,9
Model Rotation:
Z axis Z,C, Numpad 1,3
Zoom: R,F, PgUp,PgDn, Numpad +,-
Reset Camera: X, Numpad 5
Camera Presets:
XY F1
XZ F2
YZ F3
Perspective F4
Sensitivity Modifier: SHIFT
Axes Toggle:
Visible F5
Colors F6
Close Window: ESCAPE
=============================
"""
def __init__(self, *fargs, **win_args):
"""
Positional Arguments
====================
Any given positional arguments are used to
initialize a plot function at index 1. In
other words...
>>> from sympy.core import Symbol
>>> x = Symbol('x')
>>> p = Plot(x**2, visible=False)
...is equivalent to...
>>> p = Plot(visible=False)
>>> p[1] = x**2
Note that in earlier versions of the plotting
module, you were able to specify multiple
functions in the initializer. This functionality
has been dropped in favor of better automatic
plot plot_mode detection.
Named Arguments
===============
axes
An option string of the form
"key1=value1; key2 = value2" which
can use the following options:
style = ordinate
none OR frame OR box OR ordinate
stride = 0.25
val OR (val_x, val_y, val_z)
overlay = True (draw on top of plot)
True OR False
colored = False (False uses Black,
True uses colors
R,G,B = X,Y,Z)
True OR False
label_axes = False (display axis names
at endpoints)
True OR False
visible = True (show immediately
True OR False
The following named arguments are passed as
arguments to window initialization:
antialiasing = True
True OR False
ortho = False
True OR False
invert_mouse_zoom = False
True OR False
"""
self._win_args = win_args
self._window = None
self._render_lock = RLock()
self._functions = {}
self._pobjects = []
self._screenshot = ScreenShot(self)
axe_options = parse_option_string(win_args.pop('axes', ''))
self.axes = PlotAxes(**axe_options)
self._pobjects.append(self.axes)
self[0] = fargs
if win_args.get('visible', True):
self.show()
## Window Interfaces
def show(self):
"""
Creates and displays a plot window, or activates it
(gives it focus) if it has already been created.
"""
if self._window and not self._window.has_exit:
self._window.activate()
else:
self._win_args['visible'] = True
self.axes.reset_resources()
self._window = PlotWindow(self, **self._win_args)
def close(self):
"""
Closes the plot window.
"""
if self._window:
self._window.close()
def saveimage(self, outfile=None, format='', size=(600, 500)):
"""
Saves a screen capture of the plot window to an
image file.
If outfile is given, it can either be a path
or a file object. Otherwise a png image will
be saved to the current working directory.
If the format is omitted, it is determined from
the filename extension.
"""
self._screenshot.save(outfile, format, size)
## Function List Interfaces
def clear(self):
"""
Clears the function list of this plot.
"""
self._render_lock.acquire()
self._functions = {}
self.adjust_all_bounds()
self._render_lock.release()
def __getitem__(self, i):
"""
Returns the function at position i in the
function list.
"""
return self._functions[i]
def __setitem__(self, i, args):
"""
Parses and adds a PlotMode to the function
list.
"""
if not (isinstance(i, (int, Integer)) and i >= 0):
raise ValueError("Function index must " "be an integer >= 0.")
if isinstance(args, PlotObject):
f = args
else:
if (not isinstance(args, (list, tuple))) or isinstance(
args, GeometryEntity):
args = [args]
if len(args) == 0:
return # no arguments given
kwargs = dict(bounds_callback=self.adjust_all_bounds)
f = PlotMode(*args, **kwargs)
if f:
self._render_lock.acquire()
self._functions[i] = f
self._render_lock.release()
else:
raise ValueError("Failed to parse '%s'." %
', '.join(str(a) for a in args))
def __delitem__(self, i):
"""
Removes the function in the function list at
position i.
"""
self._render_lock.acquire()
del self._functions[i]
self.adjust_all_bounds()
self._render_lock.release()
def firstavailableindex(self):
"""
Returns the first unused index in the function list.
"""
i = 0
self._render_lock.acquire()
while i in self._functions:
i += 1
self._render_lock.release()
return i
def append(self, *args):
"""
Parses and adds a PlotMode to the function
list at the first available index.
"""
self.__setitem__(self.firstavailableindex(), args)
def __len__(self):
"""
Returns the number of functions in the function list.
"""
return len(self._functions)
def __iter__(self):
"""
Allows iteration of the function list.
"""
return self._functions.itervalues()
def __repr__(self):
return str(self)
def __str__(self):
"""
Returns a string containing a new-line separated
list of the functions in the function list.
"""
s = ""
if len(self._functions) == 0:
s += "<blank plot>"
else:
self._render_lock.acquire()
s += "\n".join([
"%s[%i]: %s" % ("", i, str(self._functions[i]))
for i in self._functions
])
self._render_lock.release()
return s
def adjust_all_bounds(self):
self._render_lock.acquire()
self.axes.reset_bounding_box()
for f in self._functions:
self.axes.adjust_bounds(self._functions[f].bounds)
self._render_lock.release()
def wait_for_calculations(self):
sleep(0)
self._render_lock.acquire()
for f in self._functions:
a = self._functions[f]._get_calculating_verts
b = self._functions[f]._get_calculating_cverts
while a() or b():
sleep(0)
self._render_lock.release()
class PygletPlot(object):
"""
Plot Examples
=============
See examples/advaned/pyglet_plotting.py for many more examples.
>>> from sympy.plotting.pygletplot import PygletPlot as Plot
>>> from sympy.abc import x, y, z
>>> Plot(x*y**3-y*x**3)
[0]: -x**3*y + x*y**3, 'mode=cartesian'
>>> p = Plot()
>>> p[1] = x*y
>>> p[1].color = z, (0.4,0.4,0.9), (0.9,0.4,0.4)
>>> p = Plot()
>>> p[1] = x**2+y**2
>>> p[2] = -x**2-y**2
Variable Intervals
==================
The basic format is [var, min, max, steps], but the
syntax is flexible and arguments left out are taken
from the defaults for the current coordinate mode:
>>> Plot(x**2) # implies [x,-5,5,100]
[0]: x**2, 'mode=cartesian'
>>> Plot(x**2, [], []) # [x,-1,1,40], [y,-1,1,40]
[0]: x**2, 'mode=cartesian'
>>> Plot(x**2-y**2, [100], [100]) # [x,-1,1,100], [y,-1,1,100]
[0]: x**2 - y**2, 'mode=cartesian'
>>> Plot(x**2, [x,-13,13,100])
[0]: x**2, 'mode=cartesian'
>>> Plot(x**2, [-13,13]) # [x,-13,13,100]
[0]: x**2, 'mode=cartesian'
>>> Plot(x**2, [x,-13,13]) # [x,-13,13,10]
[0]: x**2, 'mode=cartesian'
>>> Plot(1*x, [], [x], mode='cylindrical')
... # [unbound_theta,0,2*Pi,40], [x,-1,1,20]
[0]: x, 'mode=cartesian'
Coordinate Modes
================
Plot supports several curvilinear coordinate modes, and
they independent for each plotted function. You can specify
a coordinate mode explicitly with the 'mode' named argument,
but it can be automatically determined for Cartesian or
parametric plots, and therefore must only be specified for
polar, cylindrical, and spherical modes.
Specifically, Plot(function arguments) and Plot[n] =
(function arguments) will interpret your arguments as a
Cartesian plot if you provide one function and a parametric
plot if you provide two or three functions. Similarly, the
arguments will be interpreted as a curve if one variable is
used, and a surface if two are used.
Supported mode names by number of variables:
1: parametric, cartesian, polar
2: parametric, cartesian, cylindrical = polar, spherical
>>> Plot(1, mode='spherical') # doctest: +SKIP
Calculator-like Interface
=========================
>>> p = Plot(visible=False)
>>> f = x**2
>>> p[1] = f
>>> p[2] = f.diff(x)
>>> p[3] = f.diff(x).diff(x) # doctest: +SKIP
>>> p # doctest: +SKIP
[1]: x**2, 'mode=cartesian'
[2]: 2*x, 'mode=cartesian'
[3]: 2, 'mode=cartesian'
>>> p.show()
>>> p.clear()
>>> p
<blank plot>
>>> p[1] = x**2+y**2
>>> p[1].style = 'solid'
>>> p[2] = -x**2-y**2
>>> p[2].style = 'wireframe'
>>> p[1].color = z, (0.4,0.4,0.9), (0.9,0.4,0.4)
>>> p[1].style = 'both'
>>> p[2].style = 'both'
>>> p.close()
Plot Window Keyboard Controls
=============================
Screen Rotation:
X,Y axis Arrow Keys, A,S,D,W, Numpad 4,6,8,2
Z axis Q,E, Numpad 7,9
Model Rotation:
Z axis Z,C, Numpad 1,3
Zoom: R,F, PgUp,PgDn, Numpad +,-
Reset Camera: X, Numpad 5
Camera Presets:
XY F1
XZ F2
YZ F3
Perspective F4
Sensitivity Modifier: SHIFT
Axes Toggle:
Visible F5
Colors F6
Close Window: ESCAPE
=============================
"""
#python 2.5 does not support class decorators so use this workaround
_doctest_depends_on = {'modules': ('pyglet',)}
@doctest_depends_on(modules=('pyglet',))
def __init__(self, *fargs, **win_args):
"""
Positional Arguments
====================
Any given positional arguments are used to
initialize a plot function at index 1. In
other words...
>>> from sympy.plotting.pygletplot import PygletPlot as Plot
>>> from sympy.core import Symbol
>>> from sympy.abc import x
>>> p = Plot(x**2, visible=False)
...is equivalent to...
>>> p = Plot(visible=False)
>>> p[1] = x**2
Note that in earlier versions of the plotting
module, you were able to specify multiple
functions in the initializer. This functionality
has been dropped in favor of better automatic
plot plot_mode detection.
Named Arguments
===============
axes
An option string of the form
"key1=value1; key2 = value2" which
can use the following options:
style = ordinate
none OR frame OR box OR ordinate
stride = 0.25
val OR (val_x, val_y, val_z)
overlay = True (draw on top of plot)
True OR False
colored = False (False uses Black,
True uses colors
R,G,B = X,Y,Z)
True OR False
label_axes = False (display axis names
at endpoints)
True OR False
visible = True (show immediately
True OR False
The following named arguments are passed as
arguments to window initialization:
antialiasing = True
True OR False
ortho = False
True OR False
invert_mouse_zoom = False
True OR False
"""
self._win_args = win_args
self._window = None
self._render_lock = RLock()
self._functions = {}
self._pobjects = []
self._screenshot = ScreenShot(self)
axe_options = parse_option_string(win_args.pop('axes', ''))
self.axes = PlotAxes(**axe_options)
self._pobjects.append(self.axes)
self[0] = fargs
if win_args.get('visible', True):
self.show()
## Window Interfaces
def show(self):
"""
Creates and displays a plot window, or activates it
(gives it focus) if it has already been created.
"""
if self._window and not self._window.has_exit:
self._window.activate()
else:
self._win_args['visible'] = True
self.axes.reset_resources()
if hasattr(self, '_doctest_depends_on'):
self._win_args['runfromdoctester'] = True
self._window = PlotWindow(self, **self._win_args)
def close(self):
"""
Closes the plot window.
"""
if self._window:
self._window.close()
def saveimage(self, outfile=None, format='', size=(600, 500)):
"""
Saves a screen capture of the plot window to an
image file.
If outfile is given, it can either be a path
or a file object. Otherwise a png image will
be saved to the current working directory.
If the format is omitted, it is determined from
the filename extension.
"""
self._screenshot.save(outfile, format, size)
## Function List Interfaces
def clear(self):
"""
Clears the function list of this plot.
"""
self._render_lock.acquire()
self._functions = {}
self.adjust_all_bounds()
self._render_lock.release()
def __getitem__(self, i):
"""
Returns the function at position i in the
function list.
"""
return self._functions[i]
def __setitem__(self, i, args):
"""
Parses and adds a PlotMode to the function
list.
"""
if not (isinstance(i, (int, Integer)) and i >= 0):
raise ValueError("Function index must "
"be an integer >= 0.")
if isinstance(args, PlotObject):
f = args
else:
if (not is_sequence(args)) or isinstance(args, GeometryEntity):
args = [args]
if len(args) == 0:
return # no arguments given
kwargs = dict(bounds_callback=self.adjust_all_bounds)
f = PlotMode(*args, **kwargs)
if f:
self._render_lock.acquire()
self._functions[i] = f
self._render_lock.release()
else:
raise ValueError("Failed to parse '%s'."
% ', '.join(str(a) for a in args))
def __delitem__(self, i):
"""
Removes the function in the function list at
position i.
"""
self._render_lock.acquire()
del self._functions[i]
self.adjust_all_bounds()
self._render_lock.release()
def firstavailableindex(self):
"""
Returns the first unused index in the function list.
"""
i = 0
self._render_lock.acquire()
while i in self._functions:
i += 1
self._render_lock.release()
return i
def append(self, *args):
"""
Parses and adds a PlotMode to the function
list at the first available index.
"""
self.__setitem__(self.firstavailableindex(), args)
def __len__(self):
"""
Returns the number of functions in the function list.
"""
return len(self._functions)
def __iter__(self):
"""
Allows iteration of the function list.
"""
return self._functions.itervalues()
def __repr__(self):
return str(self)
def __str__(self):
"""
Returns a string containing a new-line separated
list of the functions in the function list.
"""
s = ""
if len(self._functions) == 0:
s += "<blank plot>"
else:
self._render_lock.acquire()
s += "\n".join(["%s[%i]: %s" % ("", i, str(self._functions[i]))
for i in self._functions])
self._render_lock.release()
return s
def adjust_all_bounds(self):
self._render_lock.acquire()
self.axes.reset_bounding_box()
for f in self._functions:
self.axes.adjust_bounds(self._functions[f].bounds)
self._render_lock.release()
def wait_for_calculations(self):
sleep(0)
self._render_lock.acquire()
for f in self._functions:
a = self._functions[f]._get_calculating_verts
b = self._functions[f]._get_calculating_cverts
while a() or b():
sleep(0)
self._render_lock.release()
def __init__(self, *fargs, **win_args):
"""
Positional Arguments
====================
Any given positional arguments are used to
initialize a plot function at index 1. In
other words...
>>> from sympy.core import Symbol
>>> x = Symbol('x')
>>> p = Plot(x**2, visible=False)
...is equivalent to...
>>> p = Plot(visible=False)
>>> p[1] = x**2
Note that in earlier versions of the plotting
module, you were able to specify multiple
functions in the initializer. This functionality
has been dropped in favor of better automatic
plot plot_mode detection.
Named Arguments
===============
axes
An option string of the form
"key1=value1; key2 = value2" which
can use the following options:
style = ordinate
none OR frame OR box OR ordinate
stride = 0.25
val OR (val_x, val_y, val_z)
overlay = True (draw on top of plot)
True OR False
colored = False (False uses Black,
True uses colors
R,G,B = X,Y,Z)
True OR False
label_axes = False (display axis names
at endpoints)
True OR False
visible = True (show immediately
True OR False
The following named arguments are passed as
arguments to window initialization:
antialiasing = True
True OR False
ortho = False
True OR False
invert_mouse_zoom = False
True OR False
"""
self._win_args = win_args
self._window = None
self._render_lock = RLock()
self._functions = {}
self._pobjects = []
self._screenshot = ScreenShot(self)
axe_options = parse_option_string(win_args.pop('axes', ''))
self.axes = PlotAxes(**axe_options)
self._pobjects.append(self.axes)
self[0] = fargs
if win_args.get('visible', True):
self.show()
def __init__(self, *fargs, **win_args):
"""
Positional Arguments
====================
Any given positional arguments are used to
initialize a plot function at index 1. In
other words...
>>> from sympy.plotting.pygletplot import PygletPlot as Plot
>>> from sympy.core import Symbol
>>> from sympy.abc import x
>>> p = Plot(x**2, visible=False)
...is equivalent to...
>>> p = Plot(visible=False)
>>> p[1] = x**2
Note that in earlier versions of the plotting
module, you were able to specify multiple
functions in the initializer. This functionality
has been dropped in favor of better automatic
plot plot_mode detection.
Named Arguments
===============
axes
An option string of the form
"key1=value1; key2 = value2" which
can use the following options:
style = ordinate
none OR frame OR box OR ordinate
stride = 0.25
val OR (val_x, val_y, val_z)
overlay = True (draw on top of plot)
True OR False
colored = False (False uses Black,
True uses colors
R,G,B = X,Y,Z)
True OR False
label_axes = False (display axis names
at endpoints)
True OR False
visible = True (show immediately
True OR False
The following named arguments are passed as
arguments to window initialization:
antialiasing = True
True OR False
ortho = False
True OR False
invert_mouse_zoom = False
True OR False
"""
self._win_args = win_args
self._window = None
self._render_lock = RLock()
self._functions = {}
self._pobjects = []
self._screenshot = ScreenShot(self)
axe_options = parse_option_string(win_args.pop('axes', ''))
self.axes = PlotAxes(**axe_options)
self._pobjects.append(self.axes)
self[0] = fargs
if win_args.get('visible', True):
self.show()