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Merge pull request davidwhogg#1 from jakevdp/interactive_cube
add interactive cube GUI
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| Original file line number | Diff line number | Diff line change |
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| @@ -0,0 +1,181 @@ | ||
| import numpy as np | ||
| import matplotlib.pyplot as plt | ||
| from projection import Quaternion, project_points | ||
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| class PolyView3D(plt.Axes): | ||
| def __init__(self, view=(0, 0, 10), fig=None, | ||
| rect=[0, 0, 1, 1], **kwargs): | ||
| if fig is None: | ||
| fig = plt.gcf() | ||
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| self.view = np.asarray(view) | ||
| self.start_rot = Quaternion.from_v_theta((1, -1, 0), -np.pi / 6) | ||
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| # Define movement for up/down arrows or up/down mouse movement | ||
| self._ax_UD = (1, 0, 0) | ||
| self._step_UD = 0.01 | ||
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| # Define movement for left/right arrows or left/right mouse movement | ||
| self._ax_LR = (0, -1, 0) | ||
| self._step_LR = 0.01 | ||
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| # Internal state variable | ||
| self._event_xy = None | ||
| self._current_rot = self.start_rot | ||
| self._npts = [1] | ||
| self._xyzs = [[0, 0, 0]] | ||
| self._polys = [] | ||
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| # initialize the axes. We'll set some keywords by default | ||
| kwargs.update(dict(aspect='equal', | ||
| xlim=(-2.5, 2.5), ylim=(-2.5, 2.5), | ||
| frameon=False, xticks=[], yticks=[])) | ||
| super(PolyView3D, self).__init__(fig, rect, **kwargs) | ||
| self.xaxis.set_major_formatter(plt.NullFormatter()) | ||
| self.yaxis.set_major_formatter(plt.NullFormatter()) | ||
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| # connect some GUI events | ||
| self.figure.canvas.mpl_connect('button_press_event', | ||
| self._mouse_press) | ||
| self.figure.canvas.mpl_connect('button_release_event', | ||
| self._mouse_release) | ||
| self.figure.canvas.mpl_connect('motion_notify_event', | ||
| self._mouse_motion) | ||
| self.figure.canvas.mpl_connect('key_press_event', | ||
| self._key_press) | ||
| self.figure.canvas.mpl_connect('key_release_event', | ||
| self._key_release) | ||
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| def poly3D(self, xyz, update=True, **kwargs): | ||
| xyz = np.asarray(xyz) | ||
| self._npts.append(xyz.shape[0] + self._npts[-1]) | ||
| self._xyzs = np.vstack([self._xyzs, xyz]) | ||
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| self._polys.append(plt.Polygon(xyz[:, :2], **kwargs)) | ||
| self.add_patch(self._polys[-1]) | ||
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| if update: | ||
| self._update_projection() | ||
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| def rotate(self, rot): | ||
| self._current_rot = self._current_rot * rot | ||
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| def _update_projection(self): | ||
| proj = project_points(self._xyzs, self._current_rot, self.view) | ||
| for i in range(len(self._polys)): | ||
| p = proj[self._npts[i]:self._npts[i + 1]] | ||
| self._polys[i].set_xy(p[:, :2]) | ||
| self._polys[i].set_zorder(-p[:-1, 2].mean()) | ||
| self.figure.canvas.draw() | ||
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| def _key_press(self, event): | ||
| """Handler for key press events""" | ||
| if event.key == 'shift': | ||
| self._ax_LR = (0, 0, 1) | ||
| self._shift_on = True | ||
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| elif event.key == 'right': | ||
| self.rotate(Quaternion.from_v_theta(self._ax_LR, | ||
| self._step_LR)) | ||
| elif event.key == 'left': | ||
| self.rotate(Quaternion.from_v_theta(self._ax_LR, | ||
| -self._step_LR)) | ||
| elif event.key == 'up': | ||
| self.rotate(Quaternion.from_v_theta(self._ax_UD, | ||
| self._step_UD)) | ||
| elif event.key == 'down': | ||
| self.rotate(Quaternion.from_v_theta(self._ax_UD, | ||
| -self._step_UD)) | ||
| self._update_projection() | ||
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| def _key_release(self, event): | ||
| """Handler for key release event""" | ||
| if event.key == 'shift': | ||
| self._ax_LR = (0, -1, 0) | ||
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| def _mouse_press(self, event): | ||
| """Handler for mouse button press""" | ||
| if event.button == 1: | ||
| self._event_xy = (event.x, event.y) | ||
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| def _mouse_release(self, event): | ||
| """Handler for mouse button release""" | ||
| if event.button == 1: | ||
| self._event_xy = None | ||
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| def _mouse_motion(self, event): | ||
| """Handler for mouse motion""" | ||
| if self._event_xy is not None: | ||
| dx = event.x - self._event_xy[0] | ||
| dy = event.y - self._event_xy[1] | ||
| self._event_xy = (event.x, event.y) | ||
| rot1 = Quaternion.from_v_theta(self._ax_UD, | ||
| self._step_UD * dy) | ||
| rot2 = Quaternion.from_v_theta(self._ax_LR, | ||
| self._step_LR * dx) | ||
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| self.rotate(rot1 * rot2) | ||
| self._update_projection() | ||
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| def cube_axes(N=1, **kwargs): | ||
| stickerwidth = 0.9 | ||
| small = 0.5 * (1. - stickerwidth) | ||
| d1 = 1 - small | ||
| d2 = 1 - 2 * small | ||
| d3 = 1.01 | ||
| base_sticker = np.array([[d1, d2, d3], | ||
| [d2, d1, d3], | ||
| [-d2, d1, d3], | ||
| [-d1, d2, d3], | ||
| [-d1, -d2, d3], | ||
| [-d2, -d1, d3], | ||
| [d2, -d1, d3], | ||
| [d1, -d2, d3], | ||
| [d1, d2, d3]], dtype=float) | ||
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| base_face = np.array([[1, 1, 1], | ||
| [1, -1, 1], | ||
| [-1, -1, 1], | ||
| [-1, 1, 1], | ||
| [1, 1, 1]], dtype=float) | ||
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| x, y, z = np.eye(3) | ||
| rots = [Quaternion.from_v_theta(x, theta) | ||
| for theta in (np.pi / 2, -np.pi / 2)] | ||
| rots += [Quaternion.from_v_theta(y, theta) | ||
| for theta in (np.pi / 2, -np.pi / 2, np.pi, 2 * np.pi)] | ||
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| cubie_width = 2. / N | ||
| translations = np.array([[-1 + (i + 0.5) * cubie_width, | ||
| -1 + (j + 0.5) * cubie_width, 0] | ||
| for i in range(N) for j in range(N)]) | ||
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| colors = ['blue', 'green', 'white', 'yellow', 'orange', 'red'] | ||
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| factor = np.array([1. / N, 1. / N, 1]) | ||
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| ax = PolyView3D(**kwargs) | ||
| for t in translations: | ||
| base_face_trans = factor * base_face + t | ||
| base_sticker_trans = factor * base_sticker + t | ||
| for r, c in zip(rots, colors): | ||
| face = r.rotate(base_face_trans) | ||
| ax.poly3D(face, facecolor='k', update=False) | ||
| sticker = r.rotate(base_sticker_trans) | ||
| ax.poly3D(sticker, facecolor=c, update=False) | ||
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| ax._update_projection() | ||
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| ax.figure.text(0.05, 0.05, ("Drag Mouse or use arrow keys to change " | ||
| "perspective.\n" | ||
| "hold shift to rotate around z-axis"), | ||
| ha='left', va='bottom') | ||
| return ax | ||
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| if __name__ == '__main__': | ||
| fig = plt.figure(figsize=(5, 5)) | ||
| fig.add_axes(cube_axes(N=3, fig=fig)) | ||
| plt.show() |
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