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