File:Sine3D.png

Summary

Description
English: This image was created with the help of mayavi2 and numpy.

This is the python code:

from numpy import *
from enthought.mayavi import mlab

def complex_plot(function, 
                 maxval=9, 
                 xbounds=(-3.0,3.0), 
                 ybounds=(-3.0,3.0), 
                 stepsize=0.01, 
                 text="", 
                 textwidth=0.1, 
                 unitcylrange=(-4,4), 
                 zmax=9, 
                 zmin=-9, 
                 legend=True,
                 signed=True):
    try:
        engine = mayavi.engine
    except NameError:
        from enthought.mayavi.api import Engine
        engine = Engine()
        engine.start()

    f=mlab.figure(fgcolor=(0, 0, 0), bgcolor=(1, 1, 1), size=(500,500))
    x,y = mgrid[xbounds[0]:xbounds[1]:stepsize, ybounds[0]:ybounds[1]:stepsize]
    if signed:
        z = maximum(minimum(abs(function(x+y*1j))*sign(real(function(x+y*1j))), zmax), zmin)
    else:
        z = maximum(minimum(abs(function(x+y*1j)), zmax), zmin)
    s = angle(function(x+y*1j))
    m=mlab.mesh(x,y,z, scalars=s)
    from enthought.mayavi.modules.axes import Axes
    axes = Axes()
    engine.add_filter(axes, m.module_manager)

    mlab.text(0, 0, text, width=textwidth)
    phi, v=mgrid[0.0:2.01*pi:0.1, unitcylrange[0]:unitcylrange[1]:0.1]
    mlab.mesh(cos(phi),sin(phi),v, color=(1,1,1), opacity=0.5)
    if legend:
        mlab.colorbar(title="phase", orientation='vertical')

complex_plot(lambda z: sin(z), text="f(z) = sin(z)", xbounds=(-2*pi, 2*pi), zmin=-5, zmax=5,textwidth=0.3, ybounds=(-2,2), stepsize=0.01)
mlab.show()
Date
Source Own work
Author Hans Baier
Other versions Sine.png

Licensing

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
Category:Self-published work#Sine3D.pngCategory:PD-self#Sine3D.png Category:Mathematical diagrams Category:NumPy Category:Surface plots of complex exponential function Category:Complex color surface plots Category:MayaVi
Category:Complex color surface plots Category:Mathematical diagrams Category:MayaVi Category:NumPy Category:PD-self Category:Self-published work Category:Surface plots of complex exponential function