File:Atan diagram.svg

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Original file (SVG file, nominally 575 × 449 pixels, file size: 204 KB)

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Summary

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Description
English: 3D view of
Date
Source Own work
Author Nicoguaro
SVG development
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This plot was created with Matplotlib.
Source code
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Python code

#!/usr/bin/python2

import numpy as np
from mpl_toolkits.mplot3d import Axes3D
from mpl_toolkits.mplot3d.art3d import Poly3DCollection
from matplotlib import cm
import matplotlib.pyplot as plt

fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
vmin, vmax = -np.pi, np.pi
plot_args = {'cmap':'YlGnBu_r', 'linewidth': 0.4, 'antialiased': True}
cmap = cm.get_cmap(plot_args['cmap'])

def modpi(x, ref):
    return (x + np.pi/2 - ref) % (np.pi) - np.pi/2 + ref

xa = np.linspace(-1, 1, 31)
xc = 0.5 * (xa[:-1] + xa[1:])
ya = np.linspace(-1, 1, 31)
yc = 0.5 * (ya[:-1] + ya[1:])

y, x = np.meshgrid(ya, xa)
z = np.arctan(y / x)
ym, xm = np.meshgrid(yc, xc)
zc = np.arctan(ym / xm)
colors = cmap((zc.flatten() - vmin) / (vmax - vmin))

verts = []
for ix in range(len(xa)-1):
    for iy in range(len(ya)-1):
        zm = zc[ix, iy]
        polygon = [
            (xa[ix], ya[iy], modpi(z[ix,iy], zm)),
            (xa[ix], ya[iy+1], modpi(z[ix,iy+1], zm)),
            (xa[ix+1], ya[iy+1], modpi(z[ix+1,iy+1], zm)),
            (xa[ix+1], ya[iy], modpi(z[ix+1,iy], zm))]
        
        for i, p in enumerate(polygon):
            if (p[0], p[1]) == (0., 0.):
                z1 = polygon[(i-1)%len(polygon)][2]
                z2 = polygon[(i+1)%len(polygon)][2]
                new_points = [(p[0], p[1], z1), (p[0], p[1], z2)]
                polygon = polygon[:i] + new_points + polygon[i+1:]
        
        verts.append(polygon)

ax.add_collection3d(Poly3DCollection(verts, facecolors=colors, **plot_args))

#ax.plot_surface(x, y, z, **plot_args)
ax.view_init(azim=-70, elev=60)
ax.set_xlim(-1, 1)
ax.set_ylim(-1, 1)
ax.set_zlim(vmin, vmax)
plt.xticks([-1, -0.5, 0, 0.5, 1],
           [r"$-1$", r"$-1/2$", r"$0$", r"$1/2$", r"$1$"])
plt.yticks([-1, -0.5, 0, 0.5, 1],
           [r"$-1$", r"$-1/2$", r"$0$", r"$1/2$", r"$1$"])
ax.set_zticks([-np.pi, 0, np.pi])
ax.set_zticklabels([r"$-\pi$", r"$0$", r"$\pi$"])
ax.w_xaxis.set_pane_color((1.0, 1.0, 1.0, 0.0)) 
ax.w_yaxis.set_pane_color((1.0, 1.0, 1.0, 0.0)) 
ax.w_zaxis.set_pane_color((1.0, 1.0, 1.0, 0.0))
ax.set_xlabel(r"$x$", fontsize=18)
ax.set_ylabel(r"$y$", fontsize=18)
ax.set_zlabel(r"$\arctan(y/x)$", fontsize=18)
plt.savefig("atan.svg", bbox_inches="tight", transparent=True)
plt.show()

Licensing

[edit]
I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.

File history

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Date/TimeThumbnailDimensionsUserComment
current19:54, 12 May 2020Thumbnail for version as of 19:54, 12 May 2020575 × 449 (204 KB)Geek3 (talk | contribs)plot tiles up to the discontinuity
22:40, 16 February 2016Thumbnail for version as of 22:40, 16 February 2016575 × 449 (231 KB)Nicoguaro (talk | contribs)User created page with UploadWizard

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