Re: [Matplotlib-users] 2D Radial Plots

2007-06-26 Thread Brian

It sounds to me that you want to have a contour plot which takes as input
the r,theta, and T.  I would suggest just

On 6/26/07, Lorenzo Isella [EMAIL PROTECTED] wrote:


Hello,
Thanks for your suggestion, but I still have a problem.
Maybe I did not make myself clear (or most likely I have a problem
about how to implement your suggestion): actually I have T=T(r,theta)
and I would like to make a 2D plot using colors such that one can see
that the domain where I am plotting is actually a circle.
The example I mentioned is not exactly what I need since there one can
find how to plot in polar coordinates a function of r alone.
Furthermore, I do not have necessarily an equally spaced grid.
For instance, let me consider the case of 5 theta's and 7 radial
position and consequentely 35 values of T:

  theta R
 T
0.00e+00 0.00e+00 5.459815003314423620e+01
0.00e+00 1.666574e-01 4.853828855239110851e+01
0.00e+00 3.333148e-01 4.315101251901344881e+01
0.00e+00 5.00e-01 3.836167151642037965e+01
0.00e+00 6.666297e-01 3.410390059527122020e+01
0.00e+00 8.332593e-01 3.031870066752165016e+01
0.00e+00 1.00e+00 2.695362096775039973e+01
1.570796326794896558e+00 0.00e+00 2.396203225329512776e+01
1.570796326794896558e+00 1.666574e-01 2.130248067207563523e+01
1.570796326794896558e+00 3.333148e-01 1.893811334477913277e+01
1.570796326794896558e+00 5.00e-01 1.683616770181326316e+01
1.570796326794896558e+00 6.666297e-01 1.496751749887080329e+01
1.570796326794896558e+00 8.332593e-01 1.330626922033307302e+01
1.570796326794896558e+00 1.00e+00 1.182940327795447999e+01
3.141592653589793116e+00 0.00e+00 1.051645503298913731e+01
3.141592653589793116e+00 1.666574e-01 9.349231221746512333e+00
3.141592653589793116e+00 3.333148e-01 8.311557855141172624e+00
3.141592653589793116e+00 5.00e-01 7.389056098930650407e+00
3.141592653589793116e+00 6.666297e-01 6.568943029058285532e+00
3.141592653589793116e+00 8.332593e-01 5.839854501207304871e+00
3.141592653589793116e+00 1.00e+00 5.191687680104649871e+00
4.712388980384689674e+00 0.00e+00 4.615461046534314882e+00
4.712388980384689674e+00 1.666574e-01 4.103189942205120566e+00
4.712388980384689674e+00 3.333148e-01 3.647775927922803252e+00
4.712388980384689674e+00 5.00e-01 3.242908421924544982e+00
4.712388980384689674e+00 6.666297e-01 2.882977255397825012e+00
4.712388980384689674e+00 8.332593e-01 2.562994933482758420e+00
4.712388980384689674e+00 1.00e+00 2.278527524544009530e+00
6.283185307179586232e+00 0.00e+00 2.025633220058637107e+00
6.283185307179586232e+00 1.666574e-01 1.800807713756398032e+00
6.283185307179586232e+00 3.333148e-01 1.600935643142084031e+00
6.283185307179586232e+00 5.00e-01 1.423247420534685892e+00
6.283185307179586232e+00 6.666297e-01 1.265280855439646635e+00
6.283185307179586232e+00 8.332593e-01 1.124847036463023642e+00
6.283185307179586232e+00 1.00e+00 1.00e+00



How would you plot them in order to have a 2D-color plot where one can
understand we are working on a circle (well, maybe it will look like
something different since I have only a few grid points, but the aim
is clear, I hope)?
Kind Regards

Lorenzo





On 26/06/07, Benoit Donnet [EMAIL PROTECTED] wrote:
 Hey,

 That's quite simple.  Assume your file containing the data is name
 Data.dat and is in the same directory than your python script.

 from pylab import *
 from numpy import *

 tab = load('Data.dat') #load the file
 r = tab[:,0] #get the r coordinates
 theta = tab[:,1] #get the theta coordinates
 T =  tab[:,2] #get the temperature

 # now, you can process/plot your data

 Hope this help.

 Best regards.

 Benoit


 Le 25-juin-07 à 19:03, Lorenzo Isella a écrit :

  Dear All,
  I am quite a newbie about Python and Pylab, but I am starting to like
  the ease you can develop with using these tools.
  I am interested in 2D radial plots (think for instance about the plot
  of the temperature along the cross-section of a pipe).
  I had a look at the tutorial online, in particular to the case
  described in:
 
  http://matplotlib.sourceforge.net/screenshots/polar_demo.py
 
  but there is something which is not 100% clear to me.
  What if, instead of having an analytical expression for the quantity I
  want to plot I have to read it (together with the r and theta
  coordinates) from a file, e.g.:
 
  r  theta   T
 
 
  where the columns r and theta contain the list 

Re: [Matplotlib-users] 2D Radial Plots

2007-06-26 Thread Lorenzo Isella
Hello,
Sorry for this tread getting quite long, but I am not getting there yet.
Online I found examples like:


#! /usr/bin/env python

from pylab import *
x=arange(-2,2,0.1)
y=arange(-2,2,0.05)
X,Y=meshgrid(x,y)
z=exp(-(X*X + Y*Y)) + 0.6*exp(-((X+1.8)**2 + Y**2))

#contour(x,y,z,arange(0,1,0.1))

imshow(z,interpolation='nearest')
show()


and both the imshow() and contour() commands do nicely their job, but
the scalar z is defined on a trivial rectangular domain and
represented as a 2D array.
In my problem I have:
1) a set of couples (theta,r) specifying a list of positions on a tube
cross-section.
2) for each (theta,r) couple, I have a single value of T (which is
thus a long 1D array).

In general, (theta,r) may be two coordinates given on a non-trivial
domain and I have a scalar specified for each couple I thus form.
Both contour and imshow complain because they expect a 2D array.
I am sorry if I am struggling over some triviality, but I am not
making much progress by myself.
Many thanks

Lorenzo


On 26/06/07, Brian [EMAIL PROTECTED] wrote:
 It sounds to me that you want to have a contour plot which takes as input
 the r,theta, and T.  I would suggest just


 On 6/26/07, Lorenzo Isella  [EMAIL PROTECTED] wrote:
 
  Hello,
  Thanks for your suggestion, but I still have a problem.
  Maybe I did not make myself clear (or most likely I have a problem
  about how to implement your suggestion): actually I have T=T(r,theta)
  and I would like to make a 2D plot using colors such that one can see
  that the domain where I am plotting is actually a circle.
  The example I mentioned is not exactly what I need since there one can
  find how to plot in polar coordinates a function of r alone.
  Furthermore, I do not have necessarily an equally spaced grid.
  For instance, let me consider the case of 5 theta's and 7 radial
  position and consequentely 35 values of T:
 
theta R
   T
  0.00e+00 0.00e+00 5.459815003314423620e+01
  0.00e+00 1.666574e-01 4.853828855239110851e+01
  0.00e+00 3.333148e-01 4.315101251901344881e+01
  0.00e+00 5.00e-01 3.836167151642037965e+01
  0.00e+00 6.666297e-01 3.410390059527122020e+01
  0.00e+00 8.332593e-01 3.031870066752165016e+01
  0.00e+00 1.00e+00 2.695362096775039973e+01
  1.570796326794896558e+00 0.00e+00 2.396203225329512776e+01
  1.570796326794896558e+00 1.666574e-01 2.130248067207563523e+01
  1.570796326794896558e+00 3.333148e-01 1.893811334477913277e+01
  1.570796326794896558e+00 5.00e-01 1.683616770181326316e+01
  1.570796326794896558e+00 6.666297e-01 1.496751749887080329e+01
  1.570796326794896558e+00 8.332593e-01 1.330626922033307302e+01
  1.570796326794896558e+00 1.00e+00 1.182940327795447999e+01
  3.141592653589793116e+00 0.00e+00 1.051645503298913731e+01
  3.141592653589793116e+00 1.666574e-01 9.349231221746512333e+00
  3.141592653589793116e+00 3.333148e-01 8.311557855141172624e+00
  3.141592653589793116e+00 5.00e-01 7.389056098930650407e+00
  3.141592653589793116e+00 6.666297e-01 6.568943029058285532e+00
  3.141592653589793116e+00 8.332593e-01 5.839854501207304871e+00
  3.141592653589793116e+00 1.00e+00 5.191687680104649871e+00
  4.712388980384689674e+00 0.00e+00 4.615461046534314882e+00
  4.712388980384689674e+00 1.666574e-01 4.103189942205120566e+00
  4.712388980384689674e+00 3.333148e-01 3.647775927922803252e+00
  4.712388980384689674e+00 5.00e-01 3.242908421924544982e+00
  4.712388980384689674e+00 6.666297e-01 2.882977255397825012e+00
  4.712388980384689674e+00 8.332593e-01 2.562994933482758420e+00
  4.712388980384689674e+00 1.00e+00 2.278527524544009530e+00
  6.283185307179586232e+00 0.00e+00 2.025633220058637107e+00
  6.283185307179586232e+00 1.666574e-01 1.800807713756398032e+00
  6.283185307179586232e+00 3.333148e-01 1.600935643142084031e+00
  6.283185307179586232e+00 5.00e-01 1.423247420534685892e+00
  6.283185307179586232e+00 6.666297e-01 1.265280855439646635e+00
  6.283185307179586232e+00 8.332593e-01 1.124847036463023642e+00
  6.283185307179586232e+00 1.00e+00 1.00e+00
 
 
 
  How would you plot them in order to have a 2D-color plot where one can
  understand we are working on a circle (well, maybe it will look like
  something different since I have only a few grid points, but the aim
  is clear, I hope)?
  Kind Regards
 
  Lorenzo


Re: [Matplotlib-users] 2D Radial Plots

2007-06-26 Thread Andrew Straw
Can you convert your radial coordinates to Cartesian coordinates and use 
approach #2 here: 
http://scipy.org/Cookbook/Matplotlib/Gridding_irregularly_spaced_data

Lorenzo Isella wrote:
 Hello,
 Sorry for this tread getting quite long, but I am not getting there yet.
 Online I found examples like:
 
 

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[Matplotlib-users] 2D Radial Plots

2007-06-25 Thread Lorenzo Isella
Dear All,
I am quite a newbie about Python and Pylab, but I am starting to like
the ease you can develop with using these tools.
I am interested in 2D radial plots (think for instance about the plot
of the temperature along the cross-section of a pipe).
I had a look at the tutorial online, in particular to the case described in:

http://matplotlib.sourceforge.net/screenshots/polar_demo.py

but there is something which is not 100% clear to me.
What if, instead of having an analytical expression for the quantity I
want to plot I have to read it (together with the r and theta
coordinates) from a file, e.g.:

r  theta   T


where the columns r and theta contain the list of (r,theta)
coordinates (the grid I am using along the cross section) and T the
temperature evaluated at that grid point?
If necessary, I can post an example file (but at the moment I am
working with fairly big files and I think I conveyed an idea of what I
am after).
Many thanks

Lorenzo

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