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#!/usr/bin/env python3
######################################################################
# Software License Agreement (BSD License)
#
# Copyright (c) 2015, Caleb Voss and Wilson Beebe
# All rights reserved.
#
# Redistribution and use in source and binary forms, with or without
# modification, are permitted provided that the following conditions
# are met:
#
# * Redistributions of source code must retain the above copyright
# notice, this list of conditions and the following disclaimer.
# * Redistributions in binary form must reproduce the above
# copyright notice, this list of conditions and the following
# disclaimer in the documentation and/or other materials provided
# with the distribution.
# * Neither the name of the Rice University nor the names of its
# contributors may be used to endorse or promote products derived
# from this software without specific prior written permission.
#
# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
# FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
# COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
# INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
# BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
# LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
# CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
# LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
# ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
# POSSIBILITY OF SUCH DAMAGE.
######################################################################
# Authors: Caleb Voss, Wilson Beebe
from matplotlib import cm
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
import numpy as np
def potential(x, y):
return 1 + np.sin(x) * np.sin(y)
def potentialSurface():
X = np.arange(-8, 8, 0.25)
Y = np.arange(-8, 8, 0.25)
X, Y = np.meshgrid(X, Y)
Z = potential(X, Y)
return X, Y, Z
fig = plt.figure()
ax = fig.gca(projection='3d', aspect='equal')
X, Y, Z = potentialSurface()
ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=cm.coolwarm, linewidth=0)
x = np.loadtxt("vfrrt-conservative.path")
ax.plot(x[:, 0], x[:, 1], potential(x[:, 0], x[:, 1]), color='b')
x = np.loadtxt("trrt-conservative.path")
ax.plot(x[:, 0], x[:, 1], potential(x[:, 0], x[:, 1]), color='r')
x = np.loadtxt("rrtstar-conservative.path")
ax.plot(x[:, 0], x[:, 1], potential(x[:, 0], x[:, 1]), color='g')
plt.show()
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