Files
simpeg/SimPEG/TensorView.py
T
2013-07-12 15:56:00 -07:00

167 lines
6.1 KiB
Python

import numpy as np
import matplotlib.pyplot as plt
import matplotlib
from mpl_toolkits.mplot3d import Axes3D
class TensorView(object):
"""
Provides viewing functions for TensorMesh
This class is inherited by TensorMesh
"""
def __init__(self):
pass
def plotImage(self, I, imageType='CC', figNum=1,ax=None,direction='z',numbering=True):
assert type(I) == np.ndarray, "I must be a numpy array"
assert type(numbering) == bool, "numbering must be a bool"
assert imageType in ["CC", "N"], "imageType must be 'CC' or 'N'"
assert direction in ["x", "y","z"], "direction must be either x,y, or z"
if imageType == 'CC':
assert I.size == self.nC, "Incorrect dimensions for CC."
elif imageType == 'N':
assert I.size == self.nN, "Incorrect dimensions for N."
if ax is None:
fig = plt.figure(figNum)
fig.clf()
ax = plt.subplot(111)
else:
assert isinstance(ax,matplotlib.axes.Axes), "ax must be an Axes!"
fig = ax.figure
if self.dim == 1:
if imageType == 'CC':
ph = ax.plot(self.vectorCCx, I, '-ro')
elif imageType == 'N':
ph = ax.plot(self.vectorNx, I, '-bs')
ax.set_xticks(self.vectorNx)
ax.set_xlabel("x")
ax.axis('tight')
elif self.dim == 2:
if imageType == 'CC':
C = I[:].reshape(self.n, order='F')
elif imageType == 'N':
C = I[:].reshape(self.n+1, order='F')
C = 0.25*(C[:-1, :-1] + C[1:, :-1] + C[:-1, 1:] + C[1:, 1:])
ph = ax.pcolormesh(self.vectorNx, self.vectorNy, C.T)
ax.axis('tight')
ax.set_xlabel("x")
ax.set_ylabel("y")
ax.set_xticks(self.vectorNx)
ax.set_yticks(self.vectorNy)
elif self.dim == 3:
if direction == 'z':
nX = np.ceil(np.sqrt(self.nCz))
nY = np.ceil(self.nCz/nX)
C = np.zeros((nX*self.nCx, nY*self.nCy))
Ic = I[:].reshape(self.n, order='F')
nCx = self.nCx
nCy = self.nCy
for iy in range(int(nY)):
for ix in range(int(nX)):
iz = ix + iy*nX
if iz < self.nCz:
C[ix*nCx:(ix+1)*nCx, iy*nCy:(iy+1)*nCy] = Ic[:, :, iz]
else:
C[ix*nCx:(ix+1)*nCx, iy*nCy:(iy+1)*nCy] = np.nan
C = np.ma.masked_where(np.isnan(C), C)
xx = np.r_[0, np.cumsum(np.kron(np.ones((nX, 1)), self.hx).ravel())]
yy = np.r_[0, np.cumsum(np.kron(np.ones((nY, 1)), self.hy).ravel())]
ph = ax.pcolormesh(xx, yy, C.T)
# Plot the lines
gx = np.r_[0, np.cumsum(np.kron(np.ones((nX, 1)), np.sum(self.hy)).ravel())]
gy = np.r_[0, np.cumsum(np.kron(np.ones((nY, 1)), np.sum(self.hx)).ravel())]
# Repeat and seperate with NaN
gxX = np.c_[gx, gx, gx+np.nan].ravel()
gxY = np.kron(np.ones((nX+1, 1)), np.array([0, sum(self.hy)*nY, np.nan])).ravel()
gyX = np.kron(np.ones((nY+1, 1)), np.array([0, sum(self.hx)*nX, np.nan])).ravel()
gyY = np.c_[gy, gy, gy+np.nan].ravel()
ax.plot(gxX, gxY, 'w-', linewidth=2)
ax.plot(gyX, gyY, 'w-', linewidth=2)
if numbering:
pad = np.sum(self.hx)*0.04
for iy in range(int(nY)):
for ix in range(int(nX)):
iz = ix + iy*nX
ax.text((ix+1)*self.vectorNx[-1]-pad,(iy)*self.vectorNy[-1]+pad,
'#%i'%iz,color='w',verticalalignment='bottom',horizontalalignment='right',size='x-large')
fig.show()
return ph
def plotGrid(self):
"""Plot the nodal, cell-centered and staggered grids for 1,2 and 3 dimensions."""
if self.dim == 1:
fig = plt.figure(1)
fig.clf()
ax = plt.subplot(111)
xn = self.gridN
xc = self.gridCC
ax.hold(True)
ax.plot(xn, np.ones(np.shape(xn)), 'bs')
ax.plot(xc, np.ones(np.shape(xc)), 'ro')
ax.plot(xn, np.ones(np.shape(xn)), 'k--')
ax.grid(True)
ax.hold(False)
ax.set_xlabel('x1')
fig.show()
elif self.dim == 2:
fig = plt.figure(2)
fig.clf()
ax = plt.subplot(111)
xn = self.gridN
xc = self.gridCC
xs1 = self.gridFx
xs2 = self.gridFy
ax.hold(True)
ax.plot(xn[:, 0], xn[:, 1], 'bs')
ax.plot(xc[:, 0], xc[:, 1], 'ro')
ax.plot(xs1[:, 0], xs1[:, 1], 'g>')
ax.plot(xs2[:, 0], xs2[:, 1], 'g^')
ax.grid(True)
ax.hold(False)
ax.set_xlabel('x1')
ax.set_ylabel('x2')
fig.show()
elif self.dim == 3:
fig = plt.figure(3)
fig.clf()
ax = fig.add_subplot(111, projection='3d')
xn = self.gridN
xc = self.gridCC
xfs1 = self.gridFx
xfs2 = self.gridFy
xfs3 = self.gridFz
xes1 = self.gridEx
xes2 = self.gridEy
xes3 = self.gridEz
ax.hold(True)
ax.plot(xn[:, 0], xn[:, 1], 'bs', zs=xn[:, 2])
ax.plot(xc[:, 0], xc[:, 1], 'ro', zs=xc[:, 2])
ax.plot(xfs1[:, 0], xfs1[:, 1], 'g>', zs=xfs1[:, 2])
ax.plot(xfs2[:, 0], xfs2[:, 1], 'g<', zs=xfs2[:, 2])
ax.plot(xfs3[:, 0], xfs3[:, 1], 'g^', zs=xfs3[:, 2])
ax.plot(xes1[:, 0], xes1[:, 1], 'k>', zs=xes1[:, 2])
ax.plot(xes2[:, 0], xes2[:, 1], 'k<', zs=xes2[:, 2])
ax.plot(xes3[:, 0], xes3[:, 1], 'k^', zs=xes3[:, 2])
ax.grid(True)
ax.hold(False)
ax.set_xlabel('x1')
ax.set_ylabel('x2')
ax.set_zlabel('x3')
fig.show()