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# Copyright (c) 1996, 1997, The Regents of the University of California.
# All rights reserved. See Legal.htm for full text and disclaimer.
from Numeric import *
from scipy_base.fastumath import *
from MLab import rand
from surface import *
from graph3d import *
from mesh3d import *
def paws ( ) :
i = raw_input ("Type in any string to continue; ^C to return to prompt. ")
return
GraphicsError = "GraphicsError"
import os
try:
graphics = os.environ["PYGRAPH"]
except KeyError:
graphics = "Gist"
if graphics [0:3] == "Nar" :
import NarPlotter
elif graphics == "Gist" :
import GistPlotter
else :
raise GraphicsError , \
graphics + " is an unknown graphics package. Check PYGRAPH " + \
"environment variable."
if graphics [0:3] == "Nar" :
print "This is a test of the Python interface to the Limeil Lab graphics"
print "package, Narcisse. You need Narcisse to be running. Fire it up by"
print "doing setenv PORT_SERVEUR 0, typing /dist/basis/Narcisse/bin/Narcisse &,"
print "and then do another senetv PORT_SERVEUR to the port number which"
print "appears in the Narcisse GUI."
else :
print "This is a test of the Python interface to the Gist graphics package."
print "Invoke function demo () to run."
def demo () :
vsf = 0.
c = 1
s = 1000.
kmax = 25
lmax = 35
# The following computations define an interesting 3d surface.
xr = multiply.outer (
arange (1, kmax + 1, typecode = Float), ones (lmax, Float))
yr = multiply.outer (
ones (kmax, Float), arange (1, lmax + 1, typecode = Float))
zt = 5. + xr + .2 * rand (kmax, lmax) # ranf (xr)
rt = 100. + yr + .2 * rand (kmax, lmax) # ranf (yr)
z = s * (rt + zt)
z = z + .02 * z * rand (kmax, lmax) # ranf (z)
ut = rt / sqrt (rt ** 2 + zt ** 2)
vt = zt / sqrt (rt ** 2 + zt ** 2)
ireg = multiply.outer ( ones (kmax), ones (lmax))
ireg [0:1, 0:lmax] = 0
ireg [0:kmax, 0:1] = 0
ireg [1:15, 7:12] = 2
ireg [1:15, 12:lmax] = 3
ireg [3:7, 3:7] = 0
freg = ireg + .2 * (1. - rand (kmax, lmax)) # ranf (ireg))
freg = array (freg, Float)
#rt [4:6, 4:6] = -1.e8
z [3:10, 3:12] = z [3:10, 3:12] * .9
z [5, 5] = z [5, 5] * .9
z [17:22, 15:18] = z [17:22, 15:18] * 1.2
z [16, 16] = z [16, 16] * 1.1
# Sombrero function
x = arange (-20, 21, typecode = Float)
y = arange (-20, 21, typecode = Float)
z = zeros ( (41, 41), Float)
for i in range (0, 41):
for j in range (0, 41):
r = sqrt (x [i] ** 2 + y [j] ** 2) + 1e-6
z [i, j] = sin (r) / r
s1 = Surface (z = z, opt_3d = "s3", mask = "max")
g1 = Graph3d ( s1 , titles = "Sombrero function",
y_factor = 2.0) #, phi = 30., theta = 45.)
g1.plot ( )
paws ( )
s1.set (opt_3d = "w3")
g1.plot ()
paws ( )
foo = zeros ( (kmax, lmax), Float)
for k in range (kmax) :
foo [k, 0:lmax] = log (arange (1, lmax + 1, typecode = Float))
xxx = exp (k / 5.)
for l in range (lmax) :
foo [k, l] = xxx * foo [k, l]
s1.new (x = xr, y = yr, z = foo, opt_3d = "w3")
g1.change ( titles = "Exponential surface, z logarithmic",
# phi = 30., theta = 45.,
axis_scales = ["lin", "lin", "log"],
z_contours_scale = "log", y_factor = 1.0)
g1.plot ( )
paws ( )
xr = array (xr)
yr = array (yr)
zz = xr ** 2 + yr ** 2
g1.change ( titles = "Exponential surface, z linear", phi = 45.,
axis_scales = ["lin", "lin", "lin"] )
g1.plot ( )
paws ( )
s1.new (z = zz, opt_3d = "w3")
g1.change ( z_contours_scale = "lin",
titles = "Graph of xr**2 + yr**2", phi = 35.)
g1.plot ( )
paws ( )
zs = zeros ( (50, 25), Float)
xs = zeros ( (50, 25), Float)
ys = zeros ( (50, 25), Float)
ctheta = zeros (50, Float)
stheta = zeros (50, Float)
cphi = zeros (25, Float)
sphi = zeros (25, Float)
pi = 3.1415926535
for i in range (50):
ctheta [i] = cos (2. * i / 49. * pi)
stheta [i] = sin (2. * i / 49. * pi)
for i in range (25):
cphi [i] = cos (pi * i / 24.)
sphi [i] = sin (pi * i / 24.)
for i in range (25):
zs [0:50, i:i + 1] = cphi [i]
for j in range (50):
xs [j, i] = sphi [i] * ctheta [j]
ys [j, i] = sphi [i] * stheta [j]
hx = xs / 1.6
hy = ys / 1.6
hz = zs / 1.6
# Plot a sphere with a random distribution of colors
s1.new (mask = "sort", opt_3d = "s4", x = hx, y = hy, z = zs,
c = rand (50, 25)) # ranf (zs))
g1.replace ( 1, s1 )
g1.change_plot (titles = "Randomly colored sphere", send = 1)
paws ()
s1 = Surface (mask = "sort", opt_3d = "s4", x = hx, y = hy,
z = zs, c = rand (50, 25))
##m1 = Mesh3d (color_card = "random", opt_3d = "f4", mask = "min",
## x = array ( [0.5, 1.2, 1.4, 1.05], Float),
## y = array ( [1.2, 0.5, 1.4, 1.05], Float),
## z = array ( [0., 0., 0., 1.2], Float),
## c = array ( [0.4, 0.6, 0.6, 0.6], Float),
## avs = 1, tet = [ 1, array ([[3,0,1,2]],Int) ])
m1 = Slice (array ( [3, 3, 3, 3], Int),
array ( [
[0.5, 1.2, 0.], [1.2, 0.5, 0.], [1.4, 1.4, 0.],
[0.5, 1.2, 0.], [1.4, 1.4, 0.], [1.05, 1.05, 1.2],
[0.5, 1.2, 0.], [1.05, 1.05, 1.2], [1.2, 0.5, 0.],
[1.2, 0.5, 0.], [1.05, 1.05, 1.2], [1.4, 1.4, 0.]
] ), array ( [0.4, 0.5, 0.6, 0.7], Float))
g1.new ([s1, m1], link = 1,
titles = "Randomly colored sphere and solid tetrahedron",
axis_limits = [[-0.62, 1.4],
[-0.62, 1.4], [-1.0, 1.5]],
send = 1, y_factor = 2.0) # phi = 55, theta = 30,
g1.plot ( )
#pl.set_color_card (8) #random
#pl.set_3d_options ("f4") #flat 4d
#pl.set_grid_type ("none") #don't redraw axes
# Note to myself: When the mesh plotter is done, use it for the
# following. Python should never call a plotter directly.
#pl.plot_surface (array ( [0.5, 1.2, 1.4, 1.05], Float),
# array ( [1.2, 0.5, 1.4, 1.05], Float),
# array ( [0., 0., 0., 1.2], Float),
# array ( [0.4, 0.6, 0.6, 0.6], Float),
# array ( [3, 6, 9, 12, 1, 2, 3, 0, 2,
# 3, 0, 1, 3, 0, 1, 2], Int), 4)
#pl.send_graph ()
paws ()
s1 = Surface ( mask = "sort", opt_3d = "s4", x = xs, y = ys,
z = zs + 2., c = zs)
s2 = Surface ( mask = "sort", opt_3d = "wm", x = hx, y = hy, z = hz, c = zs)
# g1.replace (1, s1)
# g1.add ( s2 )
# g1.change_plot ( link = 1 , titles = "Imploding Sphere in R3",
# phi = 70.0, theta = 30.0,
# axis_limits = [[-1., 1.], [-1., 1.], [-0.7, 3.0]])
g1.new ( [s1, s2], link = 1 , titles = "Two Spheres in R3",
axis_limits = [[-1., 1.], [-1., 1.], [-0.7, 3.0]],
x_factor = 1.7)
## phi = 70.0, theta = 30.0,
g1.plot ( )
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