[3041] | 1 | \documentclass[twoside,10pt]{article}
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[2384] | 2 | % \usepackage[latin1]{inputenc}
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| 3 | % \usepackage[T1]{fontenc}
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[2171] | 4 | \usepackage[francais]{babel}
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| 5 | \usepackage{graphicx}
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| 6 |
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[2384] | 7 | \usepackage{amsmath}
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| 8 | \usepackage{amssymb}
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| 9 | \usepackage{latexsym}
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| 10 |
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[2171] | 11 | \usepackage{palatino}
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| 12 |
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| 13 | % Definition pour Docs Sophya
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| 14 | \usepackage{defsophya}
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| 15 |
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| 16 | \usepackage{makeidx}
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| 17 |
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| 18 | \usepackage[ps2pdf,bookmarks,bookmarksnumbered,%
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| 19 | urlcolor=blue,citecolor=blue,linkcolor=blue,%
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| 20 | pagecolor=blue,%hyperindex,%
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| 21 | colorlinks=true,hyperfigures=true,hyperindex=true
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| 22 | ]{hyperref}
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| 23 |
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| 24 | \setlength{\textwidth}{17cm}
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| 25 | \setlength{\textheight}{21.5cm}
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| 26 | \setlength{\topmargin}{0.5cm}
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| 27 | \setlength{\oddsidemargin}{0.cm}
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| 28 | \setlength{\evensidemargin}{0.cm}
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| 29 | \setlength{\unitlength}{1mm}
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| 30 |
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[2384] | 31 | % \newcommand{\piacommand}[1]{
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| 32 | % \framebox{\bf \Large #1 } \index{#1} % (Command)
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| 33 | %}
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| 34 | % \newcommand{\piahelpitem}[1]{
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| 35 | % \framebox{\bf \Large #1 } \index{#1} (Help item)
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| 36 | %}
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| 37 |
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[3041] | 38 | \newcommand{\rond}{$\bullet \ $}
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| 39 | \newcommand{\etoile}{$\star \ $}
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| 40 | \newcommand{\cercle}{$\circ \ $}
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| 41 | \newcommand{\carre}{$\Box \ $}
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| 42 |
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| 43 | %%%% Definition des commandes pour l'aide en ligne
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[2171] | 44 | \newcommand{\piacommand}[1]{
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[2384] | 45 | $\blacksquare$ \hspace{3mm} {\bf \Large #1 } \index{#1} % (Command)
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[2171] | 46 | }
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| 47 | \newcommand{\piahelpitem}[1]{
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[2384] | 48 | $\square$ \hspace{3mm} {\bf \Large #1 } \index{#1} (Help item)
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[2171] | 49 | }
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| 50 |
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[3041] | 51 | \newcommand{\menubar}[1]{\hspace{1mm} \framebox{\it MenuBar::#1} \hspace{1mm}}
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| 52 |
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[2171] | 53 | \newcommand{\myppageref}[1]{ (p. \pageref{#1} ) }
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| 54 |
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| 55 | \makeindex % Constitution d'index
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| 56 |
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| 57 | \begin{document}
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| 58 | \begin{titlepage}
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| 59 | % The title page - top of the page with the title of the paper
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| 60 | \titrehp{piapp \\ An interactive data analysis tool}
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| 61 | % Authors list
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| 62 | \auteurs{
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| 63 | R. Ansari & ansari@lal.in2p3.fr \\
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| 64 | E. Aubourg & aubourg@hep.saclay.cea.fr \\
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| 65 | C. Magneville & cmv@hep.saclay.cea.fr \\
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| 66 | O. Perdereau & perderos@lal.in2p3.fr \\
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| 67 | }
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| 68 | % \author{R. Ansari {\tt ansari@lal.in2p3.fr} \\
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| 69 | % E. Aubourg {\tt aubourg@hep.saclay.cea.fr} \\
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| 70 | % C. Magneville {\tt cmv@hep.saclay.cea.fr}
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| 71 | % }
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| 72 | \vspace{1cm}
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| 73 | \begin{center}
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[3041] | 74 | {\bf \Large piapp Version: 4.0 (V\_Jul2006) }
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[2171] | 75 | \end{center}
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| 76 | \titrebp{5}
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| 77 |
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| 78 | \end{titlepage}
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| 79 |
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| 80 | \newpage
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| 81 | \tableofcontents
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| 82 | \newpage
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| 83 |
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| 84 | \section{Introduction}
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| 85 | \index{piapp}
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| 86 | {\bf piapp} (or {\bf spiapp}) is an interactive data analysis
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| 87 | and visualization program. It is based on the {\bf PI} GUI library
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[3041] | 88 | and the {\bf SOPHYA} \footnote{see http://www.sophya.org}
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| 89 | (or {\bf PEIDA++} \footnote{PEIDA++ has been used in EROS software.
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| 90 | (http://eros.in2p3.fr). It is not maintained anymore.})
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| 91 | C++ data analysis class library.
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| 92 | \par
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| 93 | {\bf piapp} is a powerful command oriented tool for visualising and analysing data.
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| 94 | Its main features are summarised below:
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| 95 | \begin{itemize}
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| 96 | \item[\rond] Image, multiple 2D and few 3D representations
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| 97 | \item[\rond] Highly interactive graphics, with postscript as export format
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| 98 | \item[\rond] Capability to handle large data sets. Data can be imported and
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| 99 | exported in different formats: ASCII, PPF and FITS.
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| 100 | \item[\rond] Interactive analysis: 2D/3D distributions, histograms, FFT \ldots
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| 101 | \item[\rond] Flexible c-shell inspired command interpreter.
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| 102 | \item[\rond] Possibility to perform more complex operations in C++, on objects
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| 103 | managed by the application through the on-the-fly compilation and execution
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| 104 | of c++ code fragments in piapp.
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| 105 | \item[\rond] piapp is a multi-threaded program with separate threads for graphics
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| 106 | and command execution, ensuring interactive response, even while heavy
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| 107 | computation is being performed. In addition, thread safe commands can be executed
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| 108 | in separate threads, for taking advantage of multi CPU (or CPU-cores) workstations.
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| 109 | \item[\rond] The application can be easily extended through modules which can be
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| 110 | loaded at run time.
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| 111 | \end{itemize}
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| 112 | %%%
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| 113 | \vspace*{5mm}
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| 114 | \par
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| 115 | {\bf piapp} can simply be started on the command line in a terminal window
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| 116 | once the SOPHYA/piapp environment has been initialised.
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| 117 | The environment variables {\tt SOPHYABASE} should contain the directory
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| 118 | where SOPHYA/piapp has been installed. the shared library path
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| 119 | {\tt LD\_LIBRARY\_PATH} must contain {\tt \$SOPHYABASE /slb} and the
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| 120 | current directory {\tt .} and the executable search path {\tt PATH} must
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| 121 | contain {\tt \$SOPHYABASE /exe}. Refer to the SOPHYA overview manual
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| 122 | for more information on SOPHYA directory structure. \\
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| 123 | It might also be necessary to define the environment variable
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| 124 | {\bf PIXKBMOMASK}, used by the libPI.a to map correctly
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| 125 | the {\tt <Alt>} key with some X servers (in particular with
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| 126 | X11 on MacOS X). \\
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| 127 | {\tt csh> setenv PIXKBMODMASK 2 }
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| 128 | \par
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| 129 | {\tt (s)piapp -h} provides a brief help of the command line
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[2171] | 130 | arguments. Xtoolkit options can also be specified as command line
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[3041] | 131 | arguments. {\bf spiapp} is the name of SOPHYA/piapp executable,
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| 132 | in order to distinguish it from PEIDA/piapp.
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[2171] | 133 | \begin{verbatim}
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| 134 | csh> spiapp -h
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[3041] | 135 | SophyaInitiator::SophyaInitiator() BaseTools Init
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| 136 | PIOPersist::Initialize() Starting Sophya Persistence management service
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| 137 | SOPHYA Version 2.0 Revision 0 (V_Jul2006) -- Jul 18 2006 12:35:58 gcc 3.3 20030304 (Apple Computer, Inc. build 1495)
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[2171] | 138 |
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[3041] | 139 | piapp: Interactive data analysis and visualisation program
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| 140 | Usage: piapp [-nored] [-termread] [-term] [-hidezswin] [-small]
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| 141 | [-nosig] [-nosigfpe] [-nosigsegv]
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| 142 | [-tmpdir TmpDirectory] [-help2tex] [-exec file [args]]
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| 143 | -nored : Don't redirect stdout/stderr to piapp console
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| 144 | -termread : Read commands on terminal (stdin)
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| 145 | -term : equivalent to -nored -termread -small
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| 146 | -hidezswin : Hide Zoom/Stat/ColMap window
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| 147 | -small : Create small size main piapp window
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| 148 | -nosig : Don't catch SigFPE, SigSEGV
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| 149 | -nosigfpe -nosigsegv: Don t catch SigFPE / SigSEGV
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| 150 | -tmpdir TmpDirectory: defines TMDIR for temporary files
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[2171] | 151 | -help2tex: Create a LaTeX help file (piahelp.tex)
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[3041] | 152 | -exec file [args] : Execute command file (last option)
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[2171] | 153 | \end{verbatim}
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[3041] | 154 | Once {\bf piapp} is started, the main piapp window appears.
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| 155 | It contains the menu bar, an upper part with the zoom and colormap
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| 156 | widgets for image displays, memory and CPU usage and a terminal like
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| 157 | widget (piapp console, see {\bf PIConsole} \myppageref{PIConsole})
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| 158 | in the lower part. The figure \ref{figmainwin}
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[2171] | 159 | shows an image of the piapp main window.
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[3041] | 160 | {\tt stdout/cout, stderr/cerr} are redirected to the piapp console and
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| 161 | commands can be entered in this widget. It is also possible to keep
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| 162 | the terminal where piapp was started for {\tt stdout/stderr} (flag {\tt -nored}).
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| 163 | It is also possible to have a command reader on the terminal
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| 164 | ({\tt stdin}), using the flag {\tt -term}. \\[1mm]
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| 165 | %
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| 166 | {\bf Warning:} The output redirection uses unix pipes. On Linux, with commands
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| 167 | producing long outputs, the application may block because of incorrect management
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| 168 | of pipes. If this happens, use piapp with {\tt -nored} flag.
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[2171] | 169 |
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[3041] | 170 | \par
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| 171 | In section 2, we present a quick tour of {\bf piapp}.
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| 172 | a brief overview of piapp graphics, supported data formats, interactive
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| 173 | analysis possibilities, the command interpreter and c++ execution
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| 174 | are presented in the following sections.
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| 175 | Section \ref{piappcmdref} contains a brief description of all piapp commands
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| 176 | and help items. Various interactive control windows are described in appendix.
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[2171] | 177 |
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| 178 | \vspace*{10mm}
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| 179 | \begin{figure}[ht!]
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| 180 | \begin{center}
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| 181 | \includegraphics[width=16cm]{piapp_mainwin.eps}
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| 182 | \caption{piapp main window}
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| 183 | \label{figmainwin}
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| 184 | \end{center}
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| 185 | \end{figure}
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| 186 |
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| 187 |
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| 188 | \newpage
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| 189 | \section{A Tour of piapp}
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[3041] | 190 | \subsection{Interacting with piapp, getting help}
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| 191 | Users interact with piapp through commands entered in the piapp-console
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| 192 | (or the unix terminal), and through the different menus.
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| 193 | Some of the possibilities of the piapp-console are described
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| 194 | in {\bf PIConsole} help item, in the command reference section \myppageref{PIConsole}.
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| 195 | The description
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| 196 | of the commands in available online using the help command.
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| 197 | An online help window can be displayed by \menubar{File / Help}.
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| 198 | Commands and help items are grouped in categories which can be
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| 199 | selected using the OptionMenu in the Help window.
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| 200 | \begin{verbatim}
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| 201 | Cmd> help func
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| 202 | Displays a function y=f(x) (Fills a vector with function values)
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| 203 | Usage: func f(x) xmin xmax [npt graphic_attributes]
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| 204 | Related commands: funcff func2d func2dff
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| 205 | Cmd> func sin(x)/x 0.1 10 100 'red line=solid,2'
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| 206 | ---> Graphic display of the function
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| 207 | \end{verbatim}
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| 208 | The directory {\tt DemoPIApp} contains a number of example
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| 209 | command script and sample data files.
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| 210 |
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[2171] | 211 | \subsection{the Object Manager (NamedObjMgr)}
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| 212 | The {\bf piapp} application is built around an object manager
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| 213 | (class {\tt NamedObjMgr}) and a graphic application
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| 214 | (class {\tt PIStdImgApp}). Objects inheriting from
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| 215 | the class {\tt AnyDataObj} can be managed through adapter
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| 216 | classes (classes inheriting from {\tt NObjMgrAdapter}) by
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| 217 | the object manager.
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| 218 | \par
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| 219 | User sees the objects (such as Sophya objects Histo, NTuple,
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| 220 | Arrays, Images, SkyMaps, \ldots) kept in memory, organized
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| 221 | in a single level tree structure. Four memory directories
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| 222 | are automatically created and can not be removed: \\
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| 223 | \centerline{\bf /home \hspace{10mm} /old \hspace{10mm} /tmp \hspace{10mm} /autoc}
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| 224 | The default working directory (in memory) is {\bf /home}.
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| 225 | Other directories can be created by the user.
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| 226 | \begin{center}
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| 227 | {\bf Warning:} These are only the directory
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| 228 | structure managed by the piapp application and do not
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| 229 | correspond to the file system directories
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| 230 | \end{center}
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| 231 | The window {\bf ObjMgr} shown in figure \ref{figobjmgrw}
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| 232 | can be used to navigate in the memory directories and
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[3041] | 233 | execute simple operations on objects. \\
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| 234 | This window can be displayed using the menu command
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| 235 | \menubar{Objects / ObjectManager}.
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[2171] | 236 | The button \framebox{\small \bf SetCurObj} can be used to set the value
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| 237 | of the interpreter's variable {\tt cobj} to the selected
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| 238 | object name.
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| 239 | Refer to the commands in group {\bf Object Management}
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| 240 | for more information.
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| 241 |
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| 242 | \vspace*{5mm}
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| 243 | \begin{figure}[ht!]
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| 244 | \begin{center}
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| 245 | \includegraphics[width=10cm]{piapp_objmgr.eps}
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| 246 | \caption{The interactive object management window}
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| 247 | \label{figobjmgrw}
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| 248 | \end{center}
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| 249 | \end{figure}
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| 250 |
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| 251 | \subsection{command language}
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[3041] | 252 | A basic command interpreter ({\bf PIACmd/Commander}) is included in {\bf piapp} and
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[2171] | 253 | other command interpreters can be inserted in the application
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| 254 | framework.
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[3041] | 255 | This interpreter ({\bf Commander} \myppageref{Commander})
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[2171] | 256 | synthax is close to the c-shell
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| 257 | (csh) shell script. It is possible to define and use variables
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| 258 | ({\tt set} command, {\tt \$varname}), and execute loops
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| 259 | ({\tt foreach,for}), as well as simple tests
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| 260 | ({\tt if test then ... else ... endif}).
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| 261 | Commands from a file (default extension .pic) can be executed
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| 262 | using the {\tt exec} command.
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| 263 | Long commands can be put on several lines, by ending a line
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| 264 | by the backslash \\ caracter, to signal that the command
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| 265 | continues on the next line.
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| 266 |
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| 267 | The command macro below shows a sample piapp session, where
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| 268 | data from the file {\tt demo.ppf} are displayed.
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| 269 | \begin{verbatim}
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| 270 | # Trace mode -> On
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| 271 | traceon
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| 272 | # Deleting all objects in the current directory
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| 273 | delobjs *
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| 274 | # Opening the PPF file demo.ppf
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| 275 | openppf demo.ppf
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| 276 | # Various displays in a graphic window, divided into 2x2 zones
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| 277 | zone 2 2
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| 278 | # 1D histogram display
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| 279 | disp h1d blue
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| 280 | # 2D histogram display
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| 281 | disp h2d
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| 282 | # Function display
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| 283 | func sin(x)/x 0.1 10. 200 gold
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| 284 | # Surface representation of a matrix
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| 285 | surf mtx1 colbr32
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[2253] | 286 | # Contour representation of a matrix
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| 287 | contour mtx1 'colrj32 normalline ncont=7'
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[2171] | 288 | # 3D representation of points using a PAW like command
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| 289 | n/plot nt31.z%y%x ! ! win
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| 290 | # 3D points superimposed on the previous display
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| 291 | nt3d nt32 x y z ex ey ez - - 'same fcirclemarker7 red'
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| 292 | \end{verbatim}
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| 293 |
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| 294 | \subsection{NTuple vue / PAW like commands}
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| 295 | It is possible to plot various expressions of objects, seen as
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| 296 | a 2D table, with named columns. This possibility exist not only
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| 297 | for NTuples, but also for most objects (from SOPHYA) handled
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| 298 | by piapp. See command groups {\bf Expr.Plotting} and
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| 299 | {\bf pawCmd}
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| 300 |
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| 301 | \subsection{C++ execution inside piapp}
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| 302 | For more complex processings, where the full power of C++
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| 303 | and the class libraries are necessary, {\bf piapp} provide
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| 304 | the possibility of executing C++ code, without the burden
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| 305 | of having to write a complete program. The objects
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| 306 | present in the current directory are automatically
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| 307 | declared. The communication with the piapp application
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| 308 | is done by the {\bf NamedObjMgr} class.
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| 309 | Two macros {\tt KeepObj()} and {\tt DisplayObj()}
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| 310 | simplify the task of keeping newly created objects.
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| 311 | In the example below, we first create a noisy signal
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| 312 | in a vector, and we keep it in the application
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| 313 | (Notice the use of multiline command) :
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| 314 |
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| 315 | \begin{verbatim}
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| 316 | Cmd> c++exec c++exec Vector in(1024); \
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[3041] | 317 | ...? in = RandomSequence(RandomSequence::Gaussian, 0., 1.); \
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| 318 | ...? for(int kk=0; kk<in.Size(); kk++) \
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| 319 | ...? in(kk) += 2*sin(kk*0.05); \
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| 320 | ...? KeepObj(in);
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[2171] | 321 | \end{verbatim}
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| 322 | We can of course display the resulting vector:
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| 323 | \begin{verbatim}
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| 324 | Cmd> disp in
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| 325 | \end{verbatim}
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| 326 |
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| 327 | And, at a subsequent stage, make a low pass filter
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| 328 | on the vector in:
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| 329 | \begin{verbatim}
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| 330 | Cmd> c++exec Vector out(1024); \
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[3041] | 331 | ...? int w = 2; \
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| 332 | ...? for(int k=w; k<in.Size()-w; k++) \
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| 333 | ...? out(k) = in(Range(k-w, k+w)).Sum()/(2.*w+1.); \
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| 334 | ...? KeepObj(out);
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[2171] | 335 | \end{verbatim}
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| 336 |
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| 337 | We can display the new vector {\tt out} overlayed
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| 338 | on the previously displayed vector:
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| 339 | \begin{verbatim}
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| 340 | Cmd> disp out 'red same'
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| 341 | \end{verbatim}
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| 342 |
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| 343 | See command group {\bf CxxExecutorCmd} for more information,
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| 344 | and the option window activated by the menu:
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| 345 | {\bf Special/CxxExecOption}.
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| 346 |
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| 347 | \subsection{Extending the application}
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| 348 | The {\bf piapp} application can easily be extended by the user.
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| 349 | This is done through shared libraries which can be opened
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| 350 | and used by the application.
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| 351 | Two main methods can be used (see command group
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| 352 | {\bf ExternalModules}) :
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| 353 | \begin{itemize}
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| 354 | \item Creation of user functions. A shared library containing
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| 355 | at least one user function with the following prototype
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| 356 | should be created:
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| 357 | \begin{verbatim}
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| 358 | extern "C" {
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| 359 | void myfonction(vector<string>& args);
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| 360 | }
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| 361 | \end{verbatim}
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| 362 | The class {\bf NameObjMgr} should be used to communicate with the
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| 363 | application. The {\tt link} \myppageref{link} and {\tt call} \myppageref{call}
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| 364 | should be used to load and execute user functions. An example of
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| 365 | user function can be found in DemoPIApp/user.cc exlink.pic.
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| 366 |
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| 367 | \item Creation of loadable modules: Loadable modules can be
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| 368 | used to extend the application possibilities in a way totally
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| 369 | transparent to the user. It is possible to define new commands,
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| 370 | handling of new object types, additional graphic functionalities
|
---|
| 371 | in a loadable module.
|
---|
| 372 |
|
---|
| 373 | The class {\bf CmdExecutor} is the base class for extending piapp.
|
---|
| 374 | A shared library should be built, containing two functions,for
|
---|
| 375 | the activation and deactivation of the module, with the following
|
---|
| 376 | prototype (where {\tt mymodule} is the module's name.
|
---|
| 377 | \begin{verbatim}
|
---|
| 378 | extern "C" {
|
---|
| 379 | void mymodule_init();
|
---|
| 380 | void mymodule_end();
|
---|
| 381 | }
|
---|
| 382 | \end{verbatim}
|
---|
| 383 |
|
---|
| 384 | \end{itemize}
|
---|
| 385 |
|
---|
[3041] | 386 | %%%%%%%%%% Section 3: Graphiques
|
---|
[2171] | 387 | \newpage
|
---|
| 388 | \section{Interactive graphics}
|
---|
| 389 | Display of objects in piapp are managed by {\bf PIDrawers} and three
|
---|
| 390 | main viewers:
|
---|
| 391 |
|
---|
| 392 | \begin{itemize}
|
---|
| 393 | \item[\bul] PIScDrawWdg: Handler of 2-D drawers with interactive zoom
|
---|
| 394 | (see {\bf PIScDrawWdg} \myppageref{PIScDrawWdg} for more information.
|
---|
| 395 | \item[\bul] PIImage: Manages display of a 2-D array (P2DArrayAdapter) as an image
|
---|
| 396 | and controls a zoom widget, as well as a global image view widget, and
|
---|
| 397 | a color map view widget. (see {\bf PIImage} \myppageref{PIImage} for
|
---|
| 398 | more information.
|
---|
| 399 | \item[\bul] PIDraw3DWdg: handler of 3-D drawers with interacive rotation
|
---|
| 400 | and zoom. (see {\bf PIDraw3DWdg} \myppageref{PIDraw3DWdg} for more information.
|
---|
| 401 | \end{itemize}
|
---|
| 402 |
|
---|
[2172] | 403 | \par
|
---|
| 404 | Refer to the command reference section on windows ({\bf Windows}
|
---|
| 405 | \myppageref{Windows})
|
---|
[2171] | 406 | for information on the different type of windows used by piapp
|
---|
| 407 | and their properties.
|
---|
| 408 |
|
---|
[2172] | 409 | \par
|
---|
[2171] | 410 | In addition, a number of control windows can be used to examine and
|
---|
| 411 | change view properties of differents viewers and drawers.
|
---|
| 412 | \begin{itemize}
|
---|
| 413 | \item[] PIDrawerTools (see page \myppageref{secdrwtools})
|
---|
| 414 | \item[] PIAxesTools (see page \myppageref{secaxestools})
|
---|
| 415 | \item[] PIImageTools (see page \myppageref{secimagetools})
|
---|
| 416 | \item[] PIHisto2DTools (see page \myppageref{sech2dtools})
|
---|
| 417 | \item[] PIContourTools (see page \myppageref{secconttools})
|
---|
| 418 | \end{itemize}
|
---|
| 419 |
|
---|
[3041] | 420 | %%%%%%%%%%%%%%% Section 4 : I/O
|
---|
| 421 | \newpage
|
---|
| 422 | \section{Data formats and I/O}
|
---|
| 423 | \begin{itemize}
|
---|
| 424 | \item[\bul] ASCII files (see {\tt ntfrascii} \myppageref{ntfrascii} and
|
---|
| 425 | {\tt newnt} \myppageref{newnt} command)
|
---|
| 426 | \item[\bul] FITS format files, through \menubar{File/Open-Fits}.
|
---|
| 427 | (see also (see {\tt openfits} \myppageref{openfits}) command.
|
---|
| 428 | \item[\bul] PPF (Portable Persistence file Format) files through
|
---|
| 429 | menu \menubar{File/Open-PPF}. PPF files are the native persistence
|
---|
| 430 | format in Sophya (or PEIDA++).
|
---|
| 431 | \end{itemize}
|
---|
[2171] | 432 |
|
---|
[3041] | 433 | %%%%%%%%%%%%%%% Section 5 : analyse a la paw
|
---|
[2171] | 434 | \newpage
|
---|
[3041] | 435 | \section{Tables and interactive analysis}
|
---|
| 436 |
|
---|
| 437 | %%%%%%%%%%%%%%% Section 6 : command interpreter
|
---|
| 438 | \newpage
|
---|
| 439 | \section{Command interpreter}
|
---|
| 440 | piapp uses the class {\bf PIACmd} which extends slightly the
|
---|
| 441 | SOPHYA class {\bf Commander} as the command interpreter.
|
---|
| 442 | {\bf Commander} is a c-shell inspired, string oriented command
|
---|
| 443 | interpreter. Although it has many limitations compared to
|
---|
| 444 | c-shell, or Tcl , it provides some interesting possibilities:
|
---|
| 445 | \begin{itemize}
|
---|
| 446 | \item Extended arithmetic operations (c-like and RPN)
|
---|
| 447 | \item Simple and vector variables
|
---|
| 448 | \item Script definition
|
---|
| 449 | \item Command execution in separate threads
|
---|
| 450 | \item Dynamic Load
|
---|
| 451 | \end{itemize}
|
---|
| 452 |
|
---|
| 453 | We describe below the {\bf Commander} possibilities,
|
---|
| 454 | as well as the few {\bf PIACmd} extensions.
|
---|
| 455 |
|
---|
| 456 | \subsection{Variables}
|
---|
| 457 | The SOPHYA::Commander interpreter manages non typed set of variables.
|
---|
| 458 | Environment variables are also accessible through
|
---|
| 459 | the usual {\tt \$varenvname}, unless shadowed by a Commander
|
---|
| 460 | variable. All Commander variables are vector of strings, and are
|
---|
| 461 | extended as necessary. {\tt \$varname} is the string formed by all
|
---|
| 462 | the vector elements. Except when performing arithmetic operations,
|
---|
| 463 | variables are treated as strings.
|
---|
| 464 | \par
|
---|
| 465 | An application level set of variables is also managed
|
---|
| 466 | by Commander, through redefinition of \\
|
---|
| 467 | {\tt Commander::GetVarApp() / GetVarApp() \ldots } methods.
|
---|
| 468 | The {\bf PIACmd} in piapp redefines the {\tt GetVarApp() }
|
---|
| 469 | in order to provide an easy access to some of objects attributes or methods,
|
---|
| 470 | managed by {\bf NamedObjMgr}.
|
---|
| 471 |
|
---|
| 472 | \begin{itemize}
|
---|
| 473 | \item[\rond] {\bf Definition and initialisation of variables }
|
---|
| 474 | \begin{verbatim}
|
---|
| 475 | # Notice that the set command has no = sign
|
---|
| 476 | Cmd> set sv StringValue
|
---|
| 477 | # Clearing/removing of a variable : unset or clearvar
|
---|
| 478 | Cmd> unset sv
|
---|
| 479 |
|
---|
| 480 | # Definition of a multi element variable (vector type)
|
---|
| 481 | # Notice that spaces before / after '(' and ')' are mandatory
|
---|
| 482 | Cmd> set vecv ( mot1 mot2 mot3 mot4 mot5 )
|
---|
| 483 | # Arithmetic expression : C language syntax - spaces before/after '=' are mandatory Cmd> a = 2+3*sqrt(4)
|
---|
| 484 | # The '=' operator can also be used to initialize a variable with a string
|
---|
| 485 | Cmd> a = 'Bonjour Madame'
|
---|
| 486 | # A vector element can be specified in the left hand side
|
---|
| 487 | Cmd> vecv[2] = 'coucou'
|
---|
| 488 | # Or using an interpreter variable as index :
|
---|
| 489 | Cmd> i = 3
|
---|
| 490 | Cmd> vecv[i] = 'Ooohhh'
|
---|
| 491 | \end{verbatim}
|
---|
| 492 |
|
---|
| 493 | On the right hand side, the value of a variable should be accessed using
|
---|
| 494 | the \$ character. \\
|
---|
| 495 | A string can be parsed into words using {\tt var2words}
|
---|
| 496 | \begin{verbatim}
|
---|
| 497 | Cmd> var2words varname wordvarname [separateur]
|
---|
| 498 | \end{verbatim}
|
---|
| 499 |
|
---|
| 500 | \item[\rond] {\bf Accessing variable contents } \\
|
---|
| 501 | The \$ character is used to access the content of a variable {\tt \$varname} .
|
---|
| 502 | Substitution rules :
|
---|
| 503 | The {\tt \$xxx} is replaced by the value of variable xxx.
|
---|
| 504 | No substitution is performed for strings enclosed in simple quotes {\tt ' ... \$xxx '},
|
---|
| 505 | but substitution is done in strings enclosed in double quotes.
|
---|
| 506 | Parenthesis or brackets can be used to specify the variable name, inside a string
|
---|
| 507 | without white space: {\tt \${vname} } ou {\tt \$(vname)}.
|
---|
| 508 | \begin{verbatim}
|
---|
| 509 | Cmd> x = 'Hello'
|
---|
| 510 | Cmd> echo $x
|
---|
| 511 | # Size of a vector variable : $#vname
|
---|
| 512 | Cmd> set vx ( 111 2222 3333 444444 )
|
---|
| 513 | Cmd> echo $#vx
|
---|
| 514 | # Accessing vector elements
|
---|
| 515 | Cmd> echo $vx[0] $vx[1]
|
---|
| 516 | # or using an interpreter variable as index :
|
---|
| 517 | Cmd> i = 2
|
---|
| 518 | Cmd> echo $vx[i]
|
---|
| 519 | # Special syntax: $[vname] is replaced by the content
|
---|
| 520 | # of a variable whose name is $vname
|
---|
| 521 | Cmd> zzz = 'Commander'
|
---|
| 522 | Cmd> xxx = 'zzz'
|
---|
| 523 | Cmd> echo '---> $[xxx]= ' $[xxx]
|
---|
| 524 | ---> $[xxx]= Commander
|
---|
| 525 | \end{verbatim}
|
---|
| 526 |
|
---|
| 527 | \par
|
---|
| 528 | When brackets are used, the priority level between interpreter variables
|
---|
| 529 | and application level variable is changed. If vname exist at the application level,
|
---|
| 530 | {\tt \${vname} } is replaced by its value, even if an interpreter variable with the
|
---|
| 531 | same name has been defined. For some classes managed by NamedObjMgr,
|
---|
| 532 | PIACmd provide acces to some of the attributes of the object by
|
---|
| 533 | {\tt \${objname.attname} }. This mechanism has been implemented in particular for
|
---|
| 534 | TArrays, TMatrix/TVector, Histograms, NTuples and DataTables.
|
---|
| 535 | \par
|
---|
| 536 | Environment variables can simply be accessed by {\tt \$varenvname}.
|
---|
| 537 | However, env. variables have the lowest priority.
|
---|
| 538 | Interpreter's variables have the highest priority in the substitution, followed
|
---|
| 539 | by the application level variables.
|
---|
| 540 |
|
---|
| 541 | \item[\rond] {\bf Special variables }
|
---|
| 542 | \begin{itemize}
|
---|
| 543 | \item {\tt \$retval} ou {\tt \$retstr} : the string specified in the last {\bf return} statement
|
---|
| 544 | \item {\tt \$status} : Return code from the last executed command.
|
---|
| 545 | Arguments of scripts (see below) or file executed through {\bf exec} command.
|
---|
| 546 | \item {\tt \$\# } : number of arguments, except \$0
|
---|
| 547 | \item {\tt \$0} : Script or file name
|
---|
| 548 | \item {\tt \$1 \$2 \$3} .... : Arguments (for scripts and .pic files (exec))
|
---|
| 549 | \end{itemize}
|
---|
| 550 | \end{itemize}
|
---|
| 551 |
|
---|
| 552 | \subsection{Control structures}
|
---|
| 553 |
|
---|
| 554 | \begin{itemize}
|
---|
| 555 | \item[\rond] Enumerated loop:
|
---|
| 556 | \begin{verbatim}
|
---|
| 557 | foreach f ( w1 w2 w3 ... )
|
---|
| 558 | ...
|
---|
| 559 | echo $f
|
---|
| 560 | end
|
---|
| 561 | \end{verbatim}
|
---|
| 562 |
|
---|
| 563 | Note that spaces before/after '(' et and ')' are mandatory.
|
---|
| 564 | An alternative form uses a vector variable name :
|
---|
| 565 | \begin{verbatim}
|
---|
| 566 | foreach v vecname
|
---|
| 567 | ...
|
---|
| 568 | echo $v
|
---|
| 569 | end
|
---|
| 570 | \end{verbatim}
|
---|
| 571 |
|
---|
| 572 | \item[\rond] Integer type loop:
|
---|
| 573 | \begin{verbatim}
|
---|
| 574 | for i startInt:endInt[:stepInt]
|
---|
| 575 | ....
|
---|
| 576 | echo $i
|
---|
| 577 | end
|
---|
| 578 | \end{verbatim}
|
---|
| 579 |
|
---|
| 580 | \item[\rond] Integer type loop:
|
---|
| 581 | \begin{verbatim}
|
---|
| 582 | for f startFloat:endFloat[:stepFloat]
|
---|
| 583 | ....
|
---|
| 584 | echo $f
|
---|
| 585 | end
|
---|
| 586 | \end{verbatim}
|
---|
| 587 |
|
---|
| 588 | \item[\rond] Loop over lines of a file
|
---|
| 589 | \begin{verbatim}
|
---|
| 590 | forinfile line FileName
|
---|
| 591 | ...
|
---|
| 592 | echo $line
|
---|
| 593 | end
|
---|
| 594 | \end{verbatim}
|
---|
| 595 |
|
---|
| 596 | \item[\rond] The {\tt break} instruction can be used to exit from a loop
|
---|
| 597 |
|
---|
| 598 | \item[\rond] {\bf if then else} Conditional execution:
|
---|
| 599 | \begin{verbatim}
|
---|
| 600 | if ( test ) then
|
---|
| 601 | endif
|
---|
| 602 |
|
---|
| 603 | if ( test ) then
|
---|
| 604 | ....
|
---|
| 605 | else
|
---|
| 606 | ....
|
---|
| 607 | endif
|
---|
| 608 | \end{verbatim}
|
---|
| 609 | Note that spaces before/after '(' et and ')' are mandatory.
|
---|
| 610 |
|
---|
| 611 | test is in the form {\tt a == b} OR {\tt a != b} OR {\tt a < b} OR {\tt a > b}
|
---|
| 612 | OR {\tt a <= b} OR {\tt a >= b}. Comparison operators should be delimited
|
---|
| 613 | by spaces.
|
---|
| 614 | {\tt ==} et {\tt !=} make a string comparison, while
|
---|
| 615 | {\tt < , > , <= , >=} compare the values obtained after string to double conversion.
|
---|
| 616 | \end{itemize}
|
---|
| 617 |
|
---|
| 618 | \subsection{Script definition}
|
---|
| 619 | A script is a sequence of commands. It is very similar to the execution of commands
|
---|
| 620 | from a file ({\bf exec filename}). Once a script has been defined, it can be called specifying
|
---|
| 621 | specifying the script name followed by its arguments.
|
---|
| 622 | \begin{verbatim}
|
---|
| 623 | # Script definition :
|
---|
| 624 | defscript scriptname [description ]
|
---|
| 625 | ....
|
---|
| 626 | endscript
|
---|
| 627 |
|
---|
| 628 | # Executing the script
|
---|
| 629 | Cmd> scriptname arg1 arg2 arg3 ....
|
---|
| 630 | \end{verbatim}
|
---|
| 631 |
|
---|
| 632 | The {\tt return} instruction stops the execution and returns from a script, or from a command
|
---|
| 633 | file called through {\bf exec}. \\
|
---|
| 634 | The commands {\bf listscript } and {\bf clearscript scriptname} can be used
|
---|
| 635 | to obtain the list of already defined script, or to clear a script definition.
|
---|
| 636 |
|
---|
| 637 | \subsection{Other built-in commands}
|
---|
| 638 | \begin{itemize}
|
---|
| 639 | \item[\rond] Instruction {\bf echo } to write the line to cout/stdout
|
---|
| 640 | \item[\rond] Instruction {\bf echo2file} to write (append) the line to file ({\tt echo2file filename ....})
|
---|
| 641 | \item[\rond] Instruction {\bf sleep nsec} wait for {\tt nsec} seconds
|
---|
| 642 | \item[\rond] Instructions {\bf timingon , timingoff , traceon , traceoff } \\
|
---|
| 643 | %
|
---|
| 644 | \item[\rond] {\bf exec filename [arg1 arg2 ... ] } to execute command from
|
---|
| 645 | the file named {\tt filename}. {\tt .pic} is the default extension for the interpreter
|
---|
| 646 | command files.
|
---|
| 647 | \item[\rond] {\bf help} and {help keyword/commandname }
|
---|
| 648 | \item[\rond] {\bf listvars , listcommands } to print the list of defined variables and known
|
---|
| 649 | commands
|
---|
| 650 | \item[\rond] An alias for a command by {\bf alias aliasname 'string ' }. Alias substitution
|
---|
| 651 | occurs for the first word in a command line. {\bf listalias} prints the list of all
|
---|
| 652 | defined aliases.
|
---|
| 653 | \item[\rond] Execution control (piapp/PIACmd extension):
|
---|
| 654 | It is possible to stop the interpreter execution in a loop, a script or
|
---|
| 655 | a command file by the {\bf stop} command, or using
|
---|
| 656 | {\tt <Cntrl C>} in the piapp console (PIConsole) \\
|
---|
| 657 | \end{itemize}
|
---|
| 658 |
|
---|
| 659 | \subsection {Command execution in separate threads}
|
---|
| 660 | It is possible to create new threads to execute commands
|
---|
| 661 | ( for non built-in interpreter commands). The syntax is similar
|
---|
| 662 | to unix shell background tasks: an {\&} should be added at the end
|
---|
| 663 | of the command line. A new thread is then created for the
|
---|
| 664 | execution of the command, if declared as thread safe \\
|
---|
| 665 | (see {\tt CmdExecutor::IsThreadable() }.
|
---|
| 666 | \par
|
---|
| 667 | Thread management commands:
|
---|
| 668 | \begin{itemize}
|
---|
| 669 | \item[\rond] {\bf thrlist }Print current list of threads, with the associated command
|
---|
| 670 | the thread identifier (integer ThrId) and its status.
|
---|
| 671 | \item[\rond] {\bf cleanthrlist } Removes all finished threads from the list.
|
---|
| 672 | An automatic cleanup is performed periodically.
|
---|
| 673 | \item[\rond] {\bf cancelthr ThId } / {\bf killthr ThId } Stops/kills the thread with
|
---|
| 674 | the identifier ThId. Avoid using theses commands as the cleanup does
|
---|
| 675 | not release some resources associated with
|
---|
| 676 | the thread (memory, mutex \ldots).
|
---|
| 677 | \end{itemize}
|
---|
| 678 |
|
---|
| 679 | %%%%%%%%%%%%%%% Section 7 : c++ execution
|
---|
| 680 | \newpage
|
---|
| 681 | \section{On the fly C++ execution}
|
---|
| 682 |
|
---|
| 683 | %%%%%%%%%%%%%%% Section 8 : command reference
|
---|
| 684 | \newpage
|
---|
[2171] | 685 | \section{piapp command reference}
|
---|
[2253] | 686 | \label{piappcmdref}
|
---|
[2171] | 687 | This section contains the description of piapp commands. This information
|
---|
| 688 | is available on-line, through the help command, or through a graphic
|
---|
[3041] | 689 | window, accessible by \menubar{File / Help}.
|
---|
[2171] | 690 | The help items and command are divided into different sections,
|
---|
| 691 | where related commands are grouped. \\[10mm]
|
---|
| 692 |
|
---|
| 693 | % \include{piahelp}
|
---|
| 694 | \input{piahelp.tex}
|
---|
| 695 |
|
---|
| 696 | % La partie des appendix
|
---|
| 697 | \appendix
|
---|
| 698 | \newpage
|
---|
[3041] | 699 | \section{Interactive control windows}
|
---|
| 700 | \subsection{DrawerTools} \index{DrawerTools}
|
---|
[2171] | 701 | \label{secdrwtools}
|
---|
| 702 | The {\bf PIDrawerTools}, shown in the figure \ref{figdrwtools} can be
|
---|
| 703 | used to change the graphic attributes (color, font, marker, \ldots)
|
---|
| 704 | of the Drawers displayed in 2D displays
|
---|
| 705 | ({\bf PIScDrawWdg} \myppageref{PIScDrawWdg}) or 3D displays
|
---|
| 706 | ({\bf PIDraw3DWdg} \myppageref{PIDraw3DWdg}), as well in image displays
|
---|
| 707 | {\bf PIImage} (\myppageref{PIImage}). The PIDrawerTools can be activated
|
---|
| 708 | either using {\tt Alt<G>} on a PIScDrawWdg,PIDraw3DWdg,PIImage,
|
---|
| 709 | or through the menu {\bf Tools/Show DrawerTools}.
|
---|
| 710 | A given drawer can be selected through the DrawerId selector.
|
---|
| 711 |
|
---|
[3041] | 712 | \vspace*{5mm}
|
---|
[2171] | 713 | \begin{figure}[ht!]
|
---|
| 714 | \begin{center}
|
---|
| 715 | \includegraphics[width=7cm]{piapp_drwtools.eps}
|
---|
| 716 | \caption{PIDrawerTools}
|
---|
| 717 | \label{figdrwtools}
|
---|
| 718 | \end{center}
|
---|
| 719 | \end{figure}
|
---|
| 720 | \newpage
|
---|
[3041] | 721 | %%%%
|
---|
| 722 | \subsection{AxesTools} \index{AxesTools}
|
---|
[2171] | 723 | \label{secaxestools}
|
---|
| 724 | The {\bf PIAxesTools}, shown in the figure \ref{figaxestools} can be used to
|
---|
| 725 | control and change the setting of axes on 2D displays
|
---|
| 726 | ({\bf PIScDrawWdg} \myppageref{PIScDrawWdg}).
|
---|
| 727 | The PIAxesTools can be activated
|
---|
| 728 | either using {\tt Alt<A>} on a PIScDrawWdg or through
|
---|
| 729 | the menu {\bf Tools/Show AxesTools}.
|
---|
| 730 |
|
---|
[3041] | 731 | \vspace*{5mm}
|
---|
[2171] | 732 | \begin{figure}[ht!]
|
---|
| 733 | \begin{center}
|
---|
| 734 | \includegraphics[width=8cm]{piapp_axestools.eps}
|
---|
| 735 | \caption{PIAxesTools}
|
---|
| 736 | \label{figaxestools}
|
---|
| 737 | \end{center}
|
---|
| 738 | \end{figure}
|
---|
[3041] | 739 | %%%%%
|
---|
[2171] | 740 | \section{ImageTools} \index{ImageTools}
|
---|
| 741 | \label{secimagetools}
|
---|
| 742 | The {\bf PIImageTools}, shown in the figure \ref{figimgtools} can be used to
|
---|
| 743 | manipulate a display of type image. Image display are handled by the
|
---|
| 744 | {\bf PIImage} (\myppageref{PIImage}). The PIImageTools can be activated
|
---|
| 745 | either using {\tt Alt<O>} on a PIImage, or through the menu
|
---|
| 746 | {\bf Tools/Show ImageTools}.
|
---|
| 747 |
|
---|
[3041] | 748 | \vspace*{5mm}
|
---|
[2171] | 749 | \begin{figure}[ht!]
|
---|
| 750 | \begin{center}
|
---|
| 751 | \includegraphics[width=8cm]{piapp_imgtools.eps}
|
---|
| 752 | \caption{PIImageTools}
|
---|
| 753 | \label{figimgtools}
|
---|
| 754 | \end{center}
|
---|
| 755 | \end{figure}
|
---|
| 756 |
|
---|
[3041] | 757 | \subsection{Histo2DTools} \index{Histo2DTools}
|
---|
[2171] | 758 | \label{sech2dtools}
|
---|
| 759 | The {\bf PIHisto2DTools}, shown in the figure \ref{figh2dtools} can be
|
---|
| 760 | used to control and change the display caracteristics of 2D histograms.
|
---|
[2253] | 761 | PIHisto2DTools can be activated
|
---|
[2171] | 762 | either using {\tt Alt<O>} on a PIScDrawWdg, when the active
|
---|
| 763 | drawer is a PIHisto2DDrawer, or through the generic drawer tool
|
---|
| 764 | PIDrawerTools.
|
---|
| 765 |
|
---|
[3041] | 766 | \vspace*{5mm}
|
---|
[2171] | 767 | \begin{figure}[ht!]
|
---|
| 768 | \begin{center}
|
---|
| 769 | \includegraphics[width=8cm]{piapp_h2dtools.eps}
|
---|
| 770 | \caption{PIHisto2DTools}
|
---|
| 771 | \label{figh2dtools}
|
---|
| 772 | \end{center}
|
---|
| 773 | \end{figure}
|
---|
| 774 |
|
---|
[3041] | 775 | \subsection{ContourTools} \index{ContourTools}
|
---|
[2171] | 776 | \label{secconttools}
|
---|
| 777 | The {\bf PIContourTools}, shown in the figure \ref{figconttools} can be
|
---|
| 778 | used to control and change the caracteristics of contour displays.
|
---|
[2253] | 779 | PIContourTools can be activated
|
---|
[2171] | 780 | either using {\tt Alt<O>} on a PIScDrawWdg, when the active
|
---|
| 781 | drawer is a PIContDrawer, or through the generic drawer tool
|
---|
| 782 | PIDrawerTools.
|
---|
| 783 |
|
---|
| 784 | \vspace*{10mm}
|
---|
| 785 | \begin{figure}[ht!]
|
---|
| 786 | \begin{center}
|
---|
| 787 | \includegraphics[width=11cm]{piapp_conttools.eps}
|
---|
| 788 | \caption{PIContourTools}
|
---|
| 789 | \label{figconttools}
|
---|
| 790 | \end{center}
|
---|
| 791 | \end{figure}
|
---|
| 792 |
|
---|
| 793 |
|
---|
[2253] | 794 |
|
---|
| 795 | Both drawing options (e.g. color, line type, fonts...) and contour
|
---|
| 796 | determination parameters (e.g. contour number and levels) are controlled
|
---|
| 797 | by {\bf PIContourTools}.
|
---|
| 798 |
|
---|
[3041] | 799 | \subsubsection{Drawing options}
|
---|
[2253] | 800 | The top choices in {\bf PIContourTools}
|
---|
| 801 | concern the color map (left choice) or color (right choice) of the contours.
|
---|
| 802 | If a color map has been chosen, it is used to give each contour a color
|
---|
| 803 | (according to its level). If no color map has been chosen, contours may be
|
---|
| 804 | given a color using the left choice box.
|
---|
| 805 |
|
---|
| 806 | Contour are by default traced by lines.
|
---|
| 807 | Alternatively (or in addition) the user may ask to trace them by markers
|
---|
| 808 | or to put numeric labels (with the contour's level) aside the contour.
|
---|
| 809 | These options are enabled/disabled by the {\tt LineON}, {\tt MarkerON} and {\tt LabelON}
|
---|
| 810 | buttons from {\bf PIContourTools}.
|
---|
| 811 |
|
---|
| 812 | Options may be recovered ({\tt GetAtt}) or set ({\tt SetAtt})
|
---|
| 813 | from/to a drawer. Setting an option which adds to the screen will be immediately visible
|
---|
| 814 | whereas unsetting it requires a {\tt Refresh} to be visible.
|
---|
| 815 |
|
---|
| 816 |
|
---|
[3041] | 817 | \subsubsection{Contour options}
|
---|
[2253] | 818 | The contouring routines in {\tt spiapp} are based on a hack of the {\tt GNUPlot}
|
---|
| 819 | routines. Contours are determined from a grid of values
|
---|
| 820 | using an interpolation scheme. Three schemes may be used
|
---|
| 821 | (selected by the left menu) :
|
---|
| 822 | \begin{enumerate}
|
---|
| 823 | \item Linear interpolation (default), selected by the {\tt Int. Lin.} option
|
---|
| 824 | \item A cubic spline algorithm, selected by the {\tt CubicSpl} option
|
---|
| 825 | \item A 2d BSpline algorihm, selected by the {\tt B-Spline} option
|
---|
| 826 | \end{enumerate}
|
---|
| 827 |
|
---|
| 828 | Contour levels and number are automatically
|
---|
| 829 | determined by the program. They may be specified differently,
|
---|
| 830 | through command-line options
|
---|
| 831 | (see section \ref{piappcmdref} for the help of the contour/ntcont commands)
|
---|
| 832 | or the lower part of the {\bf PIContourTools} window.
|
---|
| 833 |
|
---|
| 834 | The user may specify one of the following alternatives :
|
---|
| 835 | \begin{enumerate}
|
---|
| 836 | \item the number of contour (their level beeing automatically set).
|
---|
| 837 | To do this, select {\tt LevelNum} in the right menu and enter the contour number
|
---|
| 838 | in the left box below.
|
---|
| 839 | \item the levels of the contours, through an array of numerical values
|
---|
| 840 | (e.g. 1,4,6,9,27,4.5 will result in 6 contour lines being drawn, if possible and necessary).
|
---|
| 841 | To do this, select {\tt LevelDisc} and enter the contour number (left box)
|
---|
| 842 | and the values (right box) separated by ``{\tt ,}''.
|
---|
| 843 | \item the levels of the contours through an initial (lower) value and an increment.
|
---|
| 844 | For this, select {\tt LevelInc} and enter the contour number (left box)
|
---|
| 845 | and the initial value and increment in the right box, as above.
|
---|
| 846 | \item come back to the default situation, by choosing {\tt LevelAuto}
|
---|
| 847 | \end{enumerate}
|
---|
| 848 |
|
---|
| 849 | Once these options are set, it is necessary the the program recomputes
|
---|
| 850 | the contour lines. This is commanded by the {\tt SetParm} button.
|
---|
| 851 |
|
---|
| 852 |
|
---|
[2171] | 853 | \newpage
|
---|
| 854 | \addcontentsline{toc}{section}{Index}
|
---|
| 855 | \printindex
|
---|
| 856 |
|
---|
| 857 | \end{document}
|
---|