Physics 555B: Advanced Computational Physics
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This document will be updated throughout the course |
IndexGeneral purpose system and programming software Numerical analysis software (see also Course Resources Page)
Scientific word-processing and related software General purpose graphics software and examples Software to help you kick the Microsoft habit
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Maple: One of the two major general-purpose "symbolic manipulation" packages (also general-purpose programming environments), and the one that we will study in this course (the other package is Mathematica).
On the lnx machines type
lnx1% xmaplefor the GUI version, or
lnx1% maplefor a terminal-based (text) session. In the latter instance you should see something like this.
lnx1 1> mapleIf there is any sequence of
|\^/| Maple 8 (IBM INTEL LINUX)
._|\| |/|_. Copyright (c) 2002 by Waterloo Maple Inc.
\ MAPLE / All rights reserved. Maple is a registered trademark of
<____ ____> Waterloo Maple Inc.
| Type ? for help.
>
Maple
commands that you find
yourself typing at the beginning of each session (maple
or xmaple
) you can put them in a file .mapleinit
in your home directory, whereafter they will automatically be executed
each time you use Maple
.
Getting your own copy of Maple: Ron Parachoniak (Hennings 203) has a Maple 9 CD that you can borrow to install maple on your own machine. Be prepared to leave something of value (driver's license, credit card, cash etc.) as collateral to ensure prompt return of the CD.
Fortran 77: A general purpose programming language which is particularly well-suited to numerical (scientific/engineering) applications. On the lnx machines, we will be using the Portland Group (PG) compiler, pgf77
Typical usage:
% pgf77 -g mypgm.f mysubs.f -o mypgmSee the on-line notes describing the use of Fortran and C in the Unix environment for additional information, as well as the Fortran 77 section of the Course Resources page.
Fortran 90: The successor to Fortran 77 which adds powerful capabilities for manipulating array-valued expressions, additional control structures, data structures, pointers, recursion etc.
C: Another general purpose programming language which is also widely-used for scientific and engineering applications. On the lnx machines, I recommend you use the PG compiler, pgcc Typical usage:
% pgcc -g mypgm.c myfcns.c -o mypgmSee the on-line notes describing the use of Fortran and C in the Unix environment for additional information.
libp410fa: Utility library for Fortran
77 programs. Available on
the lnx machines. Sample driver for utility routines: p410fsa.f
. See source code and course notes for further
information.
Typical usage:
% pgf77 pgm.f -L/usr/local/PGI/lib -lp410f -o pgm
SLATEC: The SLATEC package is a large collection of Fortran-callable routines for performing a wide variety of tasks in scientific compuation including evaluation of special functions, solution of nonlinear equations, optimization, differentiation and integration, integral transforms etc.
The following documentation for the package is available:
Typical usage:
% cat tslatec.f
c===========================================================
c Demonstrates sample use of SLATEC library to evaluate
c a Bessel function and an Airy function.
c
c % maple
c > Digits := 16:
c > evalf(BesselJ(0,1));
c .7651976865579666
c > evalf(AiryAi(1));
c .1352924163128814
c===========================================================
program tslatec
implicit none
real*8 dbesj0, dai
c-----------------------------------------------------------
c Compute and output Bessel function of first kind of
c order 0.
c-----------------------------------------------------------
write(0,1000) dbesj0(1.0d0)
1000 format(' dbesj0(1.0d0) = ',1p,E24.16)
c-----------------------------------------------------------
c Compute and output Airy function.
c-----------------------------------------------------------
write(0,1100) dai(1.0d0)
1100 format(' dai(1.0d0) = ',1p,E24.16)
stop
end
% pgf77 -g -L/usr/local/PGI/lib tslatec.f -lslatec -o tslatec
% tslatec
dbesj0(1.0d0) = 7.6519768655796652E-01
dai(1.0d0) = 1.3529241631288143E-01
drand48: See Fortran notes, Lecture 4.
fftpack: A library of Fortran callable routines for performing single and double precision Fast Fourier Transforms (FFTs). Available on the lnx machines. Documentation for the double precision routines is available here.
Sample main program tfft.f and Makefile which uses some of the basic routines.
gv: Available on lnx machines as
well as physics.
Use for viewing Postscript documents. Largely considered an improved
(more user friendly) version of the venerable ghostview.
Typical usage:
lnx1% gv somefile.psNote: Not all Postscript files will have .ps extensions, but many do by convention.
ghostview: Available on all machines.
Use for viewing Postscript
documents.
Typical usage:
lnx1% ghostview somefile.ps
gnuplot: X-application available on lnx
machines and physics.
Use for generating X-Y (2D) and some surface plots. Has extensive
on-line documentation: type help at the gnuplot prompt
for help.
Typical usage:
lnx1% gnuplot
.
.
.
Terminal type set to 'x11'
gnuplot> help
.
.
.
gnuplot> quit
sm: Supermongo plotting package. Available on all course machines. An alternative to gnuplot which is somewhat quirkier but generally produces more professional-looking (i.e. publication-quality) plots. See on-line HTML and PS documentation and on-line help (type help at the the sm command prompt) for further details.
Note: If you are using KDE you should initialize the X11 device with
: device x11 -bg blackand ignore the error message
Unknown default colour #000000, using whiteTypical usage:
lnx1% sm
Hello Matt, please give me a command
: device x11 -bg black
: help
.
.
.
: quit
xvs (visualization server): An Xforms/OpenGL-based visualization utility developed at UBC, based on previous work at UT Austin/Physics & Toronto/CITA. xvs is a powerful tool for analyzing, among other things, the output of time-dependent PDEs in one spatial dimension (or time dependent cuts of higher-d solutions).
As with other OpenGL applications, xvs is designed to take full advantage of the prodigious hardware of modern PC graphics cards, so must be used at the console of one of the lnx machines (or on any Linux machine with a decent graphics card to which you have access---talk to the instructor for installation help).
Usage information about xvs, though still under development, is available HERE.
PLEASE SEND ME E-MAIL IMMEDIATELY IF YOU HAVE PROBLEMS WITH THIS SOFTWARE.
xvs (API): A Fortran- and C-callable routine that was specifically designed for the output and subsequent visualization (typically via xvs, the visualization server) of data generated in the solution of time-dependent problems in one spatial dimension.
Information concerning this routine can be found HERE.
.sdf files generated via the xvs API can then be sent to the xvs visualization server using the sdftoxvs command, as discussed in more detail below.
Important:
Note that .sdf files are not ``human-readable'', so
please don't try to edit them or, worse, to print them!
sdftoxvs: Sends data in .sdf files to the xvs server. Here is the full usage for the command
% sdftoxvs
Synopsis:
Sends .sdf files to the xvs visualization server
Usage:
sdftoxvs [ -c ]
[ -i ivec ]
[ -n oname ]
[ -x xfile ]
input_file [ input_file [ ... ] ]
-c -- append coordinate name when naming
function for output
-i ivec -- use ivec (1 based) for output control
-n oname -- name all data sets oname
-x xfile -- use y data from xfile for x coordinates
input_file and xfile must be 1D .sdf files
A typical invocation is
% lsNote that you do not have to specify the .sdf extension explicitly, but you can do so if you wish.
wave.sdf
% sdftoxvs wave
% sdftoxvs -i '1-*/2' waveIn this example, the construct
1-*/2is an example of an index-vector (or ivec), which is just a shorthand for a regular sequence of integers:
min-max/step ===> min, min + step, min + 2 step, ... min + n stepwhere n is the largest integer such that
min + n step <= maxIndex 1 refers to the first time level of data stored in the file, and an asterisk (*) can be used in place of min and/or max to denote "first time-level" or "last time-level" respectively. When using * in an index-vector specfication, such as in the above example, be sure to enclose the index-vector in single quotes to keep the shell from interpreting * in its own special way.
IMPORTANT NOTE: sdftoxvs needs to know on which machine xvs is running. Often this will be the same machine from which you are sending data, but it need not be so. Thus the utility requires that the environment variable XVSHOST be set to the name of the host which is running xvs. On the lnx machines, XVSHOST will be automatically set at shell start-up to the name of the local host, so normally, you won't have to worry about setting it explicitly. However, if you want to send data from some other machine, say lnx2.physics.ubc.ca, to xvs running on lnx1, for example, then on lnx2 you will need to issue:
lnx2% setenv XVSHOST lnx1before you transmit the data.
DV is a visualization server, similar in spirit to xvs, but capable of visualizing 2-D and even 3-D data. Basic online documentation is available HERE.
Information on using DV to make mpeg animations is
available HERE.
sdfinfo: Program which dumps summary information about an .sdf file to standard output.
Typical usage:
% sdfinfo wave.sdfKey to output:
Data set 1
name=<wave>
version=1
time=0
rank=1
shape=(10)
bbox=(0,1)
csize=10
dsize=10
cnames=(r)
tag=<NULL>
|data|=0.329628, min(data)=1.38879e-11, max(data)=0.734444
Data set 2
name=<wave>
version=1
time=0.111111
rank=1
shape=(10)
bbox=(0,1)
csize=10
dsize=10
cnames=(r)
.
.
.
libbbhutil.a: Fortran- and C-callable output utility routines written for the Binary Black Holes Grand Challenge Project. Available on lnx machines. Postscript ``man-style'' documentation for the C routines is available here. Fortran routines have the same names (gft_out_bbox etc.) and can be either called or invoked as integer functions. For output of 2- and 3-D arrays on uniform finite-difference meshes, the routine
gft_out_bboxshould suffice. Here is a usage example:
integer nx, ny
parameter ( nx = 65, ny = 33 )
real*8 gfcn(nx,ny)
real*8 xmin, xmax, ymin, ymax,
& time
integer shape(2), rank
real*8 bbox(4)
.
.
.
c------------------------------------------------------
c 'bbox' defines 'bounding box' of coords.
c associated with the data:
c
c bbox := ( xmin, xmax, ymin, ymax )
c------------------------------------------------------
bbox(1) = xmin
bbox(2) = xmax
bbox(3) = ymin
bbox(4) = ymax
rank = 2
shape(1) = nx
shape(2) = ny
do it = 1 , nt
.
.
.
c------------------------------------------------------
c The first (string) arg. to 'gft_out_bbox'
c is stripped of non alphanumeric/underscore
c characters (including punctuation) if necessary,
c and then used as the 'stem' for a filename of
c the form 'stem.sdf'. All calls to 'gft_out_bbox'
c with the same string result in output to the
c same file.
c------------------------------------------------------
time = it * 1.0d0
call gft_out_bbox('gfcn',time,shape,rank,
& bbox,gfcn)
end do
.
.
.
The gft_ routines use a machine-independent binary format. On the lnx machines, 2-D data is perhaps best visualized using DV.
Also on the lnx machines, 2- and 3-D data can be visualized using IRIS Explorer. A locally developed module, called ReadSDF_GFT0, is available for Explorer input of data written using the gft_ routines. Here's an image of an Explorer map which uses this module.
IRIS Explorer: A powerful scientific visualization system available on the lnx machines. You need to be logged into a console to use the software.
Complete on-line documentation for the system
is available via
IRIS Explorer Center and
Postscript versions of the User's Guide
with graphics
and without
graphics.
pp2d: OpenGL/GLUT Graphics program for animating two dimensional particle motion. Available on the lnx machines.
Sample usage
% nbody 2.0 0.01 < nbody_input | pp2dHelp is available via
% nbody 2.0 0.01 < nbody_input | pp2d -m
% pp2d -hThe source code, pp2d.c, pp2d.h and Makefile, may be of interest to those of you interested in using OpenGL for graphics programming.
Sample 6-body input file input6. Use
% pp2d < input6to view.
pp3d: OpenGL/GLUT Graphics program for animating three dimensional particle motion. Available on the lnx machines.
Sample usage
% nbody 2.0 0.01 < nbody_input | pp3dHelp is available via
% nbody 2.0 0.01 < nbody_input | pp3d -m
% pp3d -hAgain, the source code, pp3d.c, pp3d.h and Makefile may be of interest to those of you interested in using OpenGL for graphics programming.
Sample 20-body input file input20. Use
% pp3d < input20to view.
Warning: This application is still under development.
Report any problems to Matt
immediately.
xfpp3d: Version of pp3d which incorporates a GUI created using the XForms package.
Must be used via the console on the lnx machines.
Help is available via
% xfpp3d -h
Sample usage
% nbody 2.0 0.01 < nbody_input | xfpp3d
Refer to the above link for the help message, which includes a description of the expected formats for input to the utility.
Documentation describing the creation of mpeg animations using this utility is available HERE
The following source code files may be of interest to those of you interested in using OpenGL and XForms for graphics programming:
Warning: This application is still under development. Report
any problems to Matt
immediately.
Must be used via the console on the lnx machines.
This utility can be used to visualize the output of simulations of, e.g. the Game of Life, the 2-d Ising model, diffusion limited aggregation etc.
Help is available via
% xflat2d -hRefer to the above link for the help message, which includes a description of the expected format.
Documentation describing the creation of mpeg animations using this utility is available HERE
Sample usage
% xflat2d < inputWarning: This application is still under development. Report any problems to Matt immediately.
Must be used via the console on the lnx machines.
Help is available via
% xflat2d_rgb -hRefer to the above link for the help message, which includes a description of the expected format.
Documentation describing the creation of mpeg animations using this utility is available HERE
Sample usage
% xflat2d_rgb < inputWarning: This application is still under development. Report any problems to Matt immediately.
% lsYou can easily include Encapsulated Postscript files in a TeX/LaTeX document, using the epsf package. Here is a sample tex source file, here is the figure file which is included, and here is the final postscript file.
document.tex
% latex document.tex
This is TeX, Version 3.14159 (C version 6.1)
(document.tex
LaTeX2e <1996/06/01>
Hyphenation patterns for english, german, loaded.
.
.
.
No file document.aux.
[1] (document.aux) )
Output written on document.dvi (1 page, 696 bytes).
Transcript written on document.log.
% ls
document.aux document.dvi document.log document.tex
Additional Information
xdvi: X-application for previewing .dvi
files (output
from Latex-ing or tex-ing of .tex files). You don't have to
explicitly specify the .dvi extension.
Typical usage:
% ls
document.aux document.dvi document.log document.tex
% xdvi document
dvips: Utility for converting .dvi files to
postscript.
Typical usage on lnx machines:
% ls
document.aux document.dvi document.log document.tex
% dvips -o document.ps document
Got a new papersize
This is dvips 5.58 Copyright 1986, 1994 Radical Eye Software
' TeX output 1997.01.22:1442' -> document.ps
. [1]
% ls
document.aux document.dvi document.log document.ps document.tex
Open GL: A widely used software interface to graphics hardware, consisting of about 120 commands which are used to specify the objects and operations needed to produce interactive 2- and 3-dimensional applications.
This software is available on the lnx machines.
Available PS documentation:
GLUT: OpenGL Utility Toolkit Programming Interface. Facilitates construction of OpenGL programs which manipulate windows, handle user-initiated events etc.Available PS documentation:
See pp2d below for sample application including a Makefile which can be modified for use on the lnx machines.Note that the Makefile requires the following environment variables to be set as documented HERE.
CCOn the lnx machines, these variables should be set properly by default, for all users.
CCFLAGS
CCCFLAGS
CCLFLAGS
LIBGL
Open Inventor: An object-oriented toolkit (written in C++) that simplifies and abstracts the task of writing graphics programming into a set of easy to use objects.
This software is available on the lnx machines.
Available documentation: Under construction, in the meantime, start with man inventor.
Part of the Open Inventor environment is ivview, a fast interactive 3D viewer of Inventor files. The source code for this application, ivview.C and ivviewMenus.h may be of interest to those of you interested in using Open Inventor for graphics programming. Makefile for ivview. Sample Inventor File (ASCII format) engine.iv.
Note that the Makefile requires the following environment variables to be set as documented HERE.
CXXOn the lnx machines, these variables should be set properly by default, for all users.
CXXFLAGS
CXXCFLAGS
CXXLFLAGS
LIBINVENTOR
XForms: A software package consisting of
This software is available on the lnx machines.
Available PS documentation:
See xfpp3d above for sample
application including a Makefile
which can be modified for use on the lnx machines.
Maintained by choptuik@physics.ubc.ca. Supported by CIAR, NSERC, CFI, BCKDF and UBC |