class MatplotlibStreamViewer(AbstractMatplotlib2DViewer):
"""Displays a stream plot of a 2D rank-1 `CellVariable` or
`FaceVariable` object using Matplotlib_
One issue is that this `Viewer` relies on `scipy.interpolate.griddata`,
which interpolates on the convex hull of the data. The results is that
streams are plotted across any concavities in the mesh.
Another issue is that it does not seem possible to remove the streams
without calling `cla()`, which means that different set of streams cannot be
overlaid.
.. _Matplotlib: http://matplotlib.sourceforge.net/
"""
__doc__ += AbstractMatplotlib2DViewer._test2Dvector(
viewer="MatplotlibStreamViewer")
__doc__ += AbstractMatplotlib2DViewer._test2DvectorIrregular(
viewer="MatplotlibStreamViewer")
def __init__(self,
vars,
title=None,
log=False,
limits={},
axes=None,
figaspect='auto',
density=1,
linewidth=None,
color=None,
cmap=None,
norm=None,
arrowsize=1,
arrowstyle='-|>',
minlength=0.1,
**kwlimits):
"""Creates a `MatplotlibStreamViewer`.
:Parameters:
vars
a rank-1 `CellVariable` or `FaceVariable` object.
title
displayed at the top of the `Viewer` window
log
if `True`, arrow length goes at the base-10 logarithm of the magnitude
limits : dict
a (deprecated) alternative to limit keyword arguments
xmin, xmax, ymin, ymax, datamin, datamax
displayed range of data. Any limit set to
a (default) value of `None` will autoscale.
axes
if not `None`, `vars` will be plotted into this Matplotlib `Axes` object
figaspect
desired aspect ratio of figure. If arg is a number, use that aspect
ratio. If arg is 'auto', the aspect ratio will be determined from
the Variable's mesh.
*density* : float or 2-tuple
Controls the closeness of streamlines. When `density = 1`, the domain
is divided into a 25x25 grid---*density* linearly scales this grid.
Each cell in the grid can have, at most, one traversing streamline.
For different densities in each direction, use [density_x, density_y].
linewidth : Numeric or rank-0 `MeshVariable`
vary linewidth when given a `CellVariable` or `FaceVariable` of same
type as vars.
*color* : matplotlib color code, or rank-0 `MeshVariable`
Streamline color. When given an array with the type as vars,
*color* values are converted to colors using *cmap*.
*cmap* : :class:`~matplotlib.colors.Colormap`
Colormap used to plot streamlines and arrows. Only necessary when using
an `MeshVariable` input for *color*.
*norm* : :class:`~matplotlib.colors.Normalize`
Normalize object used to scale luminance data to 0, 1. If None, stretch
(min, max) to (0, 1). Only necessary when *color* is an `MeshVariable`.
*arrowsize* : float
Factor scale arrow size.
*arrowstyle* : str
Arrow style specification.
See :class:`~matplotlib.patches.FancyArrowPatch`.
*minlength* : float
Minimum length of streamline in axes coordinates.
"""
kwlimits.update(limits)
AbstractMatplotlib2DViewer.__init__(self,
vars=vars,
title=title,
axes=axes,
figaspect=figaspect,
**kwlimits)
self.log = log
self.kwargs = dict(density=density,
cmap=cmap,
norm=norm,
arrowsize=arrowsize,
arrowstyle=arrowstyle,
minlength=minlength)
self.linewidth = linewidth
self.color = color
self._stream = None
self._plot()
def _getSuitableVars(self, vars):
from fipy.meshes.mesh2D import Mesh2D
from fipy.meshes.uniformGrid2D import UniformGrid2D
vars = [var for var in AbstractMatplotlib2DViewer._getSuitableVars(self, vars) \
if ((isinstance(var.mesh, Mesh2D)
or isinstance(var.mesh, UniformGrid2D))\
and (isinstance(var, FaceVariable) \
or isinstance(var, CellVariable)) and var.rank == 1)]
if len(vars) == 0:
from fipy.viewers import MeshDimensionError
raise MeshDimensionError("The mesh must be a Mesh2D instance")
# this viewer can only display one variable
return [vars[0]]
def _plot(self):
from scipy.interpolate import griddata
var = self.vars[0]
mesh = var.mesh
xmin, ymin = mesh.extents['min']
xmax, ymax = mesh.extents['max']
N = 100
X = numerix.linspace(xmin, xmax, N)
Y = numerix.linspace(ymin, ymax, N)
grid_x, grid_y = numerix.mgrid[xmin:xmax:N * 1j, ymin:ymax:N * 1j]
if isinstance(var, FaceVariable):
C = mesh.faceCenters
elif isinstance(var, CellVariable):
C = mesh.cellCenters
U = griddata(C.value.T, var.value[0], (grid_x, grid_y), method='cubic')
V = griddata(C.value.T, var.value[1], (grid_x, grid_y), method='cubic')
lw = self.linewidth
if isinstance(lw, (FaceVariable, CellVariable)):
lw = griddata(C.value.T,
lw.value, (grid_x, grid_y),
method='cubic')
color = self.color
if isinstance(color, (FaceVariable, CellVariable)):
color = griddata(C.value.T,
color.value, (grid_x, grid_y),
method='cubic',
fill_value=color.min())
U = U.T
V = V.T
ang = numerix.arctan2(V, U)
mag = numerix.sqrt(U**2 + V**2)
datamin, datamax = self._autoscale(vars=(mag, ),
datamin=self._getLimit('datamin'),
datamax=self._getLimit('datamax'))
mag = numerix.where(mag > datamax, numerix.nan, mag)
mag = numerix.where(mag < datamin, numerix.nan, mag)
if self.log:
mag = numerix.log10(mag)
U = mag * numerix.cos(ang)
V = mag * numerix.sin(ang)
# if self._stream is not None:
# # the following doesn't work, nor does it help to `add_collection` first
# # self._stream.arrows.remove()
# self._stream.lines.remove()
self.axes.cla()
self._stream = self.axes.streamplot(X,
Y,
U,
V,
linewidth=lw,
color=color,
**self.kwargs)
self.axes.set_xlim(xmin=self._getLimit('xmin'),
xmax=self._getLimit('xmax'))
self.axes.set_ylim(ymin=self._getLimit('ymin'),
ymax=self._getLimit('ymax'))
class MatplotlibVectorViewer(AbstractMatplotlib2DViewer):
"""Displays a vector plot of a 2D rank-1 `CellVariable` or
`FaceVariable` object using Matplotlib_
.. _Matplotlib: http://matplotlib.sourceforge.net/
"""
__doc__ += AbstractMatplotlib2DViewer._test2Dvector(
viewer="MatplotlibVectorViewer")
__doc__ += """
>>> for sparsity in numerix.arange(5000, 0, -500):
... viewer.quiver(sparsity=sparsity)
... viewer.plot()
>>> viewer._promptForOpinion()
"""
__doc__ += AbstractMatplotlib2DViewer._test2DvectorIrregular(
viewer="MatplotlibVectorViewer")
def __init__(self,
vars,
title=None,
scale=None,
sparsity=None,
log=False,
limits={},
axes=None,
figaspect='auto',
**kwlimits):
"""Creates a `Matplotlib2DViewer`.
:Parameters:
vars
a rank-1 `CellVariable` or `FaceVariable` object.
title
displayed at the top of the `Viewer` window
scale
if not `None`, scale all arrow lengths by this value
sparsity
if not `None`, then this number of arrows will be
randomly chosen (weighted by the cell volume or face area)
log
if `True`, arrow length goes at the base-10 logarithm of the magnitude
limits : dict
a (deprecated) alternative to limit keyword arguments
xmin, xmax, ymin, ymax, datamin, datamax
displayed range of data. Any limit set to
a (default) value of `None` will autoscale.
axes
if not `None`, `vars` will be plotted into this Matplotlib `Axes` object
figaspect
desired aspect ratio of figure. If arg is a number, use that aspect
ratio. If arg is 'auto', the aspect ratio will be determined from
the Variable's mesh.
"""
kwlimits.update(limits)
AbstractMatplotlib2DViewer.__init__(self,
vars=vars,
title=title,
axes=axes,
figaspect=figaspect,
**kwlimits)
self.quiver(sparsity=sparsity, scale=scale)
self.log = log
self._plot()
def quiver(self, sparsity=None, scale=None):
var = self.vars[0]
mesh = var.mesh
if isinstance(var, FaceVariable):
N = mesh.numberOfFaces
X, Y = mesh.faceCenters
elif isinstance(var, CellVariable):
N = mesh.numberOfCells
X, Y = mesh.cellCenters
if sparsity is not None and N > sparsity:
XYrand = numerix.random.random((2, sparsity))
XYrand = numerix.array([
[min(X)], [min(Y)]
]) + XYrand * numerix.array([[max(X) - min(X)], [max(Y) - min(Y)]])
self.indices = numerix.nearest(numerix.array([X, Y]), XYrand)
else:
self.indices = numerix.arange(N)
X = numerix.take(X, self.indices)
Y = numerix.take(Y, self.indices)
U = V = numerix.ones(X.shape, 'l')
if hasattr(self, "_quiver"):
self._quiver.remove()
self._quiver = self.axes.quiver(X,
Y,
U,
V,
scale=scale,
pivot='middle')
def _getSuitableVars(self, vars):
from fipy.meshes.mesh2D import Mesh2D
from fipy.meshes.uniformGrid2D import UniformGrid2D
vars = [var for var in AbstractMatplotlib2DViewer._getSuitableVars(self, vars) \
if ((isinstance(var.mesh, Mesh2D)
or isinstance(var.mesh, UniformGrid2D))\
and (isinstance(var, FaceVariable) \
or isinstance(var, CellVariable)) and var.rank == 1)]
if len(vars) == 0:
from fipy.viewers import MeshDimensionError
raise MeshDimensionError, "The mesh must be a Mesh2D instance"
# this viewer can only display one variable
return [vars[0]]
def _plot(self):
var = self.vars[0]
mesh = var.mesh
U, V = var.numericValue
U = numerix.take(U, self.indices)
V = numerix.take(V, self.indices)
ang = numerix.arctan2(V, U)
mag = numerix.sqrt(U**2 + V**2)
datamin, datamax = self._autoscale(vars=(mag, ),
datamin=self._getLimit('datamin'),
datamax=self._getLimit('datamax'))
mag = numerix.where(mag > datamax, datamax, mag)
mag = numerix.ma.masked_array(mag, mag < datamin)
if self.log:
mag = numerix.log10(mag)
mag = numerix.ma.masked_array(mag, numerix.isnan(mag))
U = mag * numerix.cos(ang)
V = mag * numerix.sin(ang)
self._quiver.set_UVC(U, V)
self.axes.set_xlim(xmin=self._getLimit('xmin'),
xmax=self._getLimit('xmax'))
self.axes.set_ylim(ymin=self._getLimit('ymin'),
ymax=self._getLimit('ymax'))