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19 Commits
2020.10.28
...
2020.11.02
| Author | SHA1 | Date | |
|---|---|---|---|
| 08edf6f908 | |||
| bf8fdc377a | |||
| 98fce317a8 | |||
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| 420343eb31 | |||
| aca2dd645c | |||
| 9ad6c0992b | |||
| a15d8dd30a | |||
| a57bbc084c | |||
| c0b3f4f34c | |||
| 11a9d5bd4b | |||
| 3266b1380f | |||
| 2f76afd8a6 | |||
| 139db216fe | |||
| d93fd4c655 | |||
| fe4bc60bd7 | |||
| e7597fb5d3 | |||
| a5c41d6b19 | |||
| 7e4ea308dc |
@ -60,9 +60,6 @@ SLS Detector Package 5.0.0-rc2 released on 09.10.2020 (Release Candidate 2)
|
|||||||
and
|
and
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||||||
https://slsdetectorgroup.github.io/devdoc/serverupgrade.html
|
https://slsdetectorgroup.github.io/devdoc/serverupgrade.html
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||||||
|
|
||||||
Please refer to the link below for more details on the firmware versions.
|
|
||||||
https://www.psi.ch/en/detectors/firmware
|
|
||||||
|
|
||||||
|
|
||||||
2. Download, Documentation & Support
|
2. Download, Documentation & Support
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||||||
====================================
|
====================================
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||||||
@ -115,8 +112,8 @@ SLS Detector Package 5.0.0-rc2 released on 09.10.2020 (Release Candidate 2)
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|||||||
Further Documentation:
|
Further Documentation:
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||||||
https://www.psi.ch/en/detectors/documentation
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https://www.psi.ch/en/detectors/documentation
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||||||
|
|
||||||
Old Release notes:
|
Info on Releases:
|
||||||
https://www.psi.ch/en/detectors/latest-installation
|
https://www.psi.ch/en/detectors/software
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||||||
|
|
||||||
|
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||||||
Support
|
Support
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||||||
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|||||||
@ -2,6 +2,7 @@ python:
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- 3.6
|
- 3.6
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||||||
- 3.7
|
- 3.7
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||||||
- 3.8
|
- 3.8
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||||||
|
- 3.9
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||||||
|
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||||||
numpy:
|
numpy:
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- 1.17
|
- 1.17
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@ -1,8 +1,8 @@
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|||||||
|
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mkdir $PREFIX/lib
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mkdir $PREFIX/lib
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mkdir $PREFIX/bin
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mkdir $PREFIX/bin
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mkdir $PREFIX/include
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mkdir -p $PREFIX/include/sls
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mkdir $PREFIX/include/slsDetectorPackage
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# mkdir $PREFIX/include/slsDetectorPackage
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|
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#Shared and static libraries
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#Shared and static libraries
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# cp build/bin/libSlsDetector.so $PREFIX/lib/.
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# cp build/bin/libSlsDetector.so $PREFIX/lib/.
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@ -20,5 +20,5 @@ cp build/install/bin/slsReceiver $PREFIX/bin/.
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cp build/install/bin/slsMultiReceiver $PREFIX/bin/.
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cp build/install/bin/slsMultiReceiver $PREFIX/bin/.
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|
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|
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cp build/install/include/* $PREFIX/include/
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cp build/install/include/sls/* $PREFIX/include/sls
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cp -r build/install/share/ $PREFIX/share
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cp -r build/install/share/ $PREFIX/share
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@ -25,8 +25,8 @@
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|
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#include "ctbAcquisition.h"
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#include "ctbAcquisition.h"
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#include "ctbDefs.h"
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#include "ctbDefs.h"
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#include "Detector.h"
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#include "sls/Detector.h"
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#include "sls_detector_defs.h"
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#include "sls/sls_detector_defs.h"
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#include "ctbMain.h"
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#include "ctbMain.h"
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#include "moench03CtbData.h"
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#include "moench03CtbData.h"
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//#include "moench03TCtbData.h"
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//#include "moench03TCtbData.h"
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@ -43,7 +43,7 @@
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#include "moench04CtbZmqData.h"
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#include "moench04CtbZmqData.h"
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#include "moench04CtbZmq10GbData.h"
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#include "moench04CtbZmq10GbData.h"
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#include "deserializer.h"
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#include "deserializer.h"
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#include "detectorData.h"
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#include "sls/detectorData.h"
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#include "imageZmq16bit.h"
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#include "imageZmq16bit.h"
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#include "imageZmq32bit.h"
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#include "imageZmq32bit.h"
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|
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@ -25,7 +25,7 @@
|
|||||||
|
|
||||||
#include "ctbAdcs.h"
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#include "ctbAdcs.h"
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||||||
#include "ctbDefs.h"
|
#include "ctbDefs.h"
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||||||
#include "Detector.h"
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#include "sls/Detector.h"
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||||||
|
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||||||
using namespace std;
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using namespace std;
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|
|
||||||
|
|||||||
@ -10,8 +10,8 @@
|
|||||||
|
|
||||||
#include "ctbDacs.h"
|
#include "ctbDacs.h"
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||||||
#include "ctbDefs.h"
|
#include "ctbDefs.h"
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||||||
#include "Detector.h"
|
#include "sls/Detector.h"
|
||||||
#include "sls_detector_defs.h"
|
#include "sls/sls_detector_defs.h"
|
||||||
|
|
||||||
using namespace std;
|
using namespace std;
|
||||||
|
|
||||||
|
|||||||
@ -4,8 +4,8 @@
|
|||||||
#include <stdexcept>
|
#include <stdexcept>
|
||||||
#include <chrono>
|
#include <chrono>
|
||||||
|
|
||||||
//#include "sls_detector_exceptions.h"
|
//#include "sls/sls_detector_exceptions.h"
|
||||||
//#include "ansi.h"
|
//#include "sls/ansi.h"
|
||||||
#define RED "\x1b[31m"
|
#define RED "\x1b[31m"
|
||||||
#define RESET "\x1b[0m"
|
#define RESET "\x1b[0m"
|
||||||
#define BOLD "\x1b[1m"
|
#define BOLD "\x1b[1m"
|
||||||
|
|||||||
@ -9,8 +9,8 @@
|
|||||||
#include <fstream>
|
#include <fstream>
|
||||||
#include <string>
|
#include <string>
|
||||||
|
|
||||||
#include "Detector.h"
|
#include "sls/Detector.h"
|
||||||
#include "sls_detector_defs.h"
|
#include "sls/sls_detector_defs.h"
|
||||||
//#include "sls_receiver_defs.h"
|
//#include "sls_receiver_defs.h"
|
||||||
#include "ctbMain.h"
|
#include "ctbMain.h"
|
||||||
#include "ctbDefs.h"
|
#include "ctbDefs.h"
|
||||||
|
|||||||
@ -34,7 +34,7 @@
|
|||||||
#include <fstream>
|
#include <fstream>
|
||||||
#include <string>
|
#include <string>
|
||||||
|
|
||||||
#include "Detector.h"
|
#include "sls/Detector.h"
|
||||||
#include "ctbDefs.h"
|
#include "ctbDefs.h"
|
||||||
#include "ctbMain.h"
|
#include "ctbMain.h"
|
||||||
#include "ctbDacs.h"
|
#include "ctbDacs.h"
|
||||||
|
|||||||
@ -25,7 +25,7 @@
|
|||||||
|
|
||||||
#include "ctbPattern.h"
|
#include "ctbPattern.h"
|
||||||
#include "ctbDefs.h"
|
#include "ctbDefs.h"
|
||||||
#include "Detector.h"
|
#include "sls/Detector.h"
|
||||||
#include <chrono>
|
#include <chrono>
|
||||||
using namespace std;
|
using namespace std;
|
||||||
|
|
||||||
|
|||||||
@ -13,8 +13,8 @@
|
|||||||
#include "ctbDefs.h"
|
#include "ctbDefs.h"
|
||||||
#include "ctbDacs.h"
|
#include "ctbDacs.h"
|
||||||
#include "ctbPowers.h"
|
#include "ctbPowers.h"
|
||||||
#include "Detector.h"
|
#include "sls/Detector.h"
|
||||||
#include "sls_detector_defs.h"
|
#include "sls/sls_detector_defs.h"
|
||||||
|
|
||||||
using namespace std;
|
using namespace std;
|
||||||
|
|
||||||
|
|||||||
@ -35,7 +35,7 @@
|
|||||||
|
|
||||||
#include "ctbSignals.h"
|
#include "ctbSignals.h"
|
||||||
#include "ctbDefs.h"
|
#include "ctbDefs.h"
|
||||||
#include "Detector.h"
|
#include "sls/Detector.h"
|
||||||
|
|
||||||
using namespace std;
|
using namespace std;
|
||||||
|
|
||||||
|
|||||||
@ -10,8 +10,8 @@
|
|||||||
|
|
||||||
#include "ctbSlowAdcs.h"
|
#include "ctbSlowAdcs.h"
|
||||||
#include "ctbDefs.h"
|
#include "ctbDefs.h"
|
||||||
#include "Detector.h"
|
#include "sls/Detector.h"
|
||||||
#include "sls_detector_defs.h"
|
#include "sls/sls_detector_defs.h"
|
||||||
|
|
||||||
using namespace std;
|
using namespace std;
|
||||||
|
|
||||||
|
|||||||
@ -30,3 +30,18 @@ Commands
|
|||||||
-----------
|
-----------
|
||||||
|
|
||||||
.. include:: ../commands.rst
|
.. include:: ../commands.rst
|
||||||
|
|
||||||
|
|
||||||
|
Depreciated commands
|
||||||
|
------------------------
|
||||||
|
|
||||||
|
.. note ::
|
||||||
|
All dac commands are preceded with the **dac** command. Use command **daclist** to get correct list of dac command arguments for current detector.
|
||||||
|
|
||||||
|
.. csv-table:: Depreciated commands
|
||||||
|
:file: ../depreciated.csv
|
||||||
|
:widths: 35, 35
|
||||||
|
:header-rows: 1
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|||||||
@ -91,7 +91,7 @@ manually when invoking g++. This can sometimes be handy for a quick try.
|
|||||||
|
|
||||||
.. code-block:: cpp
|
.. code-block:: cpp
|
||||||
|
|
||||||
#include "Detector.h"
|
#include "sls/Detector.h"
|
||||||
#include <iostream>
|
#include <iostream>
|
||||||
int main(){
|
int main(){
|
||||||
|
|
||||||
|
|||||||
@ -36,7 +36,7 @@ Running a config file [e1]
|
|||||||
|
|
||||||
.. code-block:: cpp
|
.. code-block:: cpp
|
||||||
|
|
||||||
#include "Detector.h"
|
#include "sls/Detector.h"
|
||||||
...
|
...
|
||||||
sls::Detector det;
|
sls::Detector det;
|
||||||
det.loadConfig("path/to/config/file.config");
|
det.loadConfig("path/to/config/file.config");
|
||||||
@ -105,7 +105,7 @@ as converting to floating point.
|
|||||||
|
|
||||||
.. code-block:: cpp
|
.. code-block:: cpp
|
||||||
|
|
||||||
#include "Detector.h"
|
#include "sls/Detector.h"
|
||||||
#include <chrono>
|
#include <chrono>
|
||||||
...
|
...
|
||||||
std::chrono::microseconds t0{500};
|
std::chrono::microseconds t0{500};
|
||||||
|
|||||||
@ -10,8 +10,8 @@
|
|||||||
#include <vector>
|
#include <vector>
|
||||||
|
|
||||||
#include "CmdProxy.h"
|
#include "CmdProxy.h"
|
||||||
#include "Detector.h"
|
#include "sls/Detector.h"
|
||||||
#include "sls_detector_defs.h"
|
#include "sls/sls_detector_defs.h"
|
||||||
|
|
||||||
std::string replace_all(const std::string &src, const std::string &from,
|
std::string replace_all(const std::string &src, const std::string &from,
|
||||||
const std::string &to) {
|
const std::string &to) {
|
||||||
@ -51,4 +51,11 @@ int main() {
|
|||||||
auto help = replace_all(tmp, "\n\t", "\n\t\t| ");
|
auto help = replace_all(tmp, "\n\t", "\n\t\t| ");
|
||||||
fs << '\t' << cmd << usage << help << "\n";
|
fs << '\t' << cmd << usage << help << "\n";
|
||||||
}
|
}
|
||||||
|
|
||||||
|
std::ofstream fs2("depreciated.csv");
|
||||||
|
fs2 << "Old, New\n";
|
||||||
|
auto cmds = proxy.GetDepreciatedCommands();
|
||||||
|
for (auto it : cmds){
|
||||||
|
fs2 << it.first << ", " << it.second << '\n';
|
||||||
|
}
|
||||||
}
|
}
|
||||||
|
|||||||
@ -21,6 +21,8 @@
|
|||||||
Installation
|
Installation
|
||||||
==============================================
|
==============================================
|
||||||
|
|
||||||
|
.. _build from source using cmake:
|
||||||
|
|
||||||
Build from source using CMake
|
Build from source using CMake
|
||||||
---------------------------------
|
---------------------------------
|
||||||
|
|
||||||
|
|||||||
@ -151,9 +151,20 @@ Please refer to Receiver PC Tuning options and slsReceiver Tuning under `Trouble
|
|||||||
Using Callbacks
|
Using Callbacks
|
||||||
----------------
|
----------------
|
||||||
|
|
||||||
| One can get a callback in the receiver for each frame to:
|
One can get a callback in the receiver for each frame to:
|
||||||
* manipulate the data that will be written to file, or
|
* manipulate the data that will be written to file, or
|
||||||
* disable file writing in slsReceiver and take care of the data for each call back
|
* disable file writing in slsReceiver and take care of the data for each call back
|
||||||
|
|
||||||
| When handling callbacks, the control should be returned as soon as possible, to prevent packet loss from fifo being full.
|
When handling callbacks, the control should be returned as soon as possible, to prevent packet loss from fifo being full.
|
||||||
|
|
||||||
|
**Example**
|
||||||
|
* `main cpp file <https://github.com/slsdetectorgroup/api-examples/blob/master/e4-receiver_callbacks.cpp>`_
|
||||||
|
* `cmake file <https://github.com/slsdetectorgroup/api-examples/blob/master/CMakeLists.txt>`_.
|
||||||
|
* how to install the slsDetectorPackage is provided :ref:`here <build from source using cmake>`.
|
||||||
|
* compile the example **e4-rxr** by:
|
||||||
|
|
||||||
|
.. code-block:: bash
|
||||||
|
|
||||||
|
cmake ../path/to/your/source -DCMAKE_PREFIX_PATH=/path/to/sls/install
|
||||||
|
make
|
||||||
|
|
||||||
|
|||||||
@ -1,6 +1,6 @@
|
|||||||
#include "DetectorImpl.h"
|
#include "DetectorImpl.h"
|
||||||
#include "catch.hpp"
|
#include "catch.hpp"
|
||||||
#include "string_utils.h"
|
#include "sls/string_utils.h"
|
||||||
#include "tests/globals.h"
|
#include "tests/globals.h"
|
||||||
#include <iostream>
|
#include <iostream>
|
||||||
|
|
||||||
|
|||||||
@ -1,14 +1,14 @@
|
|||||||
|
|
||||||
#include "catch.hpp"
|
#include "catch.hpp"
|
||||||
|
|
||||||
#include "ClientSocket.h"
|
#include "sls/ClientSocket.h"
|
||||||
#include "DetectorImpl.h"
|
#include "DetectorImpl.h"
|
||||||
#include "Module.h"
|
#include "Module.h"
|
||||||
#include "logger.h"
|
#include "sls/logger.h"
|
||||||
#include "sls_detector_defs.h"
|
#include "sls/sls_detector_defs.h"
|
||||||
|
|
||||||
#include "Timer.h"
|
#include "sls/Timer.h"
|
||||||
#include "sls_detector_funcs.h"
|
#include "sls/sls_detector_funcs.h"
|
||||||
#include <iostream>
|
#include <iostream>
|
||||||
#include <vector>
|
#include <vector>
|
||||||
#define VERBOSE
|
#define VERBOSE
|
||||||
|
|||||||
@ -1,6 +1,6 @@
|
|||||||
#include "DetectorImpl.h"
|
#include "DetectorImpl.h"
|
||||||
#include "catch.hpp"
|
#include "catch.hpp"
|
||||||
#include "string_utils.h"
|
#include "sls/string_utils.h"
|
||||||
#include "tests/globals.h"
|
#include "tests/globals.h"
|
||||||
#include <iostream>
|
#include <iostream>
|
||||||
|
|
||||||
|
|||||||
@ -1,51 +0,0 @@
|
|||||||
DESTDIR?=docs
|
|
||||||
|
|
||||||
|
|
||||||
#manual-api manual-calwiz manual-client manual-gui manual-main
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
MAINDIRS= manual-main manual-api manual-calwiz manual-client manual-gui
|
|
||||||
#manual-calwiz manual-calwiz manual-gui manual-client manual-api
|
|
||||||
CLEANDIRS=$(MAINDIRS:manual-%=clean-%)
|
|
||||||
PDFDIRS=$(MAINDIRS:manual-%=pdf-%)
|
|
||||||
HTMLDIRS=$(MAINDIRS:manual-%=html-%)
|
|
||||||
ALLDIRS=$(MAINDIRS:manual-%=all-%)
|
|
||||||
|
|
||||||
|
|
||||||
all: $(ALLDIRS)
|
|
||||||
# $(shell test -d $(DESTDIR)/pdf && rm -fr $(DESTDIR)/pdf)
|
|
||||||
# mv pdf $(DESTDIR)
|
|
||||||
# $(shell test -d $(DESTDIR)/html && rm -fr $(DESTDIR)/html)
|
|
||||||
# mv html $(DESTDIR)
|
|
||||||
|
|
||||||
pdf: $(PDFDIRS)
|
|
||||||
# $(shell test -d $(DESTDIR)/pdf && rm -fr $(DESTDIR)/pdf)
|
|
||||||
# mv pdf $(DESTDIR)
|
|
||||||
|
|
||||||
html: $(HTMLDIRS)
|
|
||||||
# $(shell test -d $(DESTDIR)/html && rm -fr $(DESTDIR)/html)
|
|
||||||
# mv html $(DESTDIR)
|
|
||||||
|
|
||||||
clean: $(CLEANDIRS)
|
|
||||||
rm -fr $(DESTDIR)/pdf
|
|
||||||
rm -fr $(DESTDIR)/html
|
|
||||||
|
|
||||||
all-%:
|
|
||||||
echo
|
|
||||||
cd $(@:all-%=manual-%) && make all
|
|
||||||
|
|
||||||
pdf-%:
|
|
||||||
cd $(@:pdf-%=manual-%) && make pdf
|
|
||||||
|
|
||||||
html-%:
|
|
||||||
cd $(@:html-%=manual-%) && make html
|
|
||||||
|
|
||||||
clean-%:
|
|
||||||
cd $(@:clean-%=manual-%) && make clean
|
|
||||||
|
|
||||||
|
|
||||||
#<23><>$(@D)<29><> The directory part of the file name of the target, with the trailing slash removed. If the value of <20><>$@<40><> is dir/foo.o then <20><>$(@D)<29><> is dir. This value is . if <20><>$@<40><> does not contain a slash.
|
|
||||||
#<23><>$(@F)<29><> The file-within-directory part of the file name of the target. If the value of <20><>$@<40><> is dir/foo.o then <20><>$(@F)<29><> is foo.o. <20><>$(@F)<29><> is equivalent to <20><>$(notdir $@)<29><>.
|
|
||||||
|
|
||||||
|
|
||||||
@ -1,65 +0,0 @@
|
|||||||
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
|
|
||||||
|
|
||||||
<!--Converted with LaTeX2HTML 2002-2-1 (1.71)
|
|
||||||
original version by: Nikos Drakos, CBLU, University of Leeds
|
|
||||||
* revised and updated by: Marcus Hennecke, Ross Moore, Herb Swan
|
|
||||||
* with significant contributions from:
|
|
||||||
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
|
|
||||||
<HTML>
|
|
||||||
<HEAD>
|
|
||||||
<TITLE>SLS Detector Software Documentation</TITLE>
|
|
||||||
<META NAME="description" CONTENT="SLS Detector Software Documentation">
|
|
||||||
<META NAME="keywords" CONTENT="SLS Detectors">
|
|
||||||
<META NAME="resource-type" CONTENT="document">
|
|
||||||
<META NAME="distribution" CONTENT="global">
|
|
||||||
|
|
||||||
<LINK REL="next" HREF="node1.html">
|
|
||||||
</HEAD>
|
|
||||||
|
|
||||||
<BODY >
|
|
||||||
<P>
|
|
||||||
|
|
||||||
<H1 ALIGN="CENTER">SLS Detector Software Documentation</H1>
|
|
||||||
<DIV>
|
|
||||||
</DIV>
|
|
||||||
<BR><HR>
|
|
||||||
<!--Table of Child-Links-->
|
|
||||||
<A NAME="CHILD_LINKS"></A>
|
|
||||||
|
|
||||||
<UL>
|
|
||||||
|
|
||||||
<LI><A HREF="slsDetectors-FAQ/index.html">SLS Detectors Frequently Asked Questions</A> <BR>
|
|
||||||
Documents with general remarks about the detectors and the software that all users should read.
|
|
||||||
<A HREF="../pdf/slsDetectors-FAQ.pdf">*pdf*</A> <BR>
|
|
||||||
<BR>
|
|
||||||
<LI><A HREF="slsDetectorInstall/index.html">Installation</A> <BR>
|
|
||||||
Documentation for the installation of the SLS Detectors software library
|
|
||||||
<A HREF="../pdf/slsDetectorInstall.pdf">*pdf*</A> <BR>
|
|
||||||
<BR>
|
|
||||||
<LI><A HREF="slsDetectorClientHowTo/index.html">Command Line Interface</A> <BR>
|
|
||||||
Reference documentation for the command line interface sls_detector_put, sls_detector_get, sls_detector_acquire, sls_detector_help
|
|
||||||
<A HREF="../pdf/slsDetectorClientHowTo.pdf">*pdf*</A> <BR>
|
|
||||||
<BR>
|
|
||||||
<LI><A HREF="slsDetectorGuiHowTo/index.html">Graphical Users Interface</A> <BR>
|
|
||||||
Reference documentation for the GUI
|
|
||||||
<A HREF="../pdf/slsDetectorGuiHowTo.pdf">*pdf*</A> <BR>
|
|
||||||
<BR>
|
|
||||||
<LI><A HREF="calibrationWizardsHowTo/index.html">Calibration Wizards</A>
|
|
||||||
<UL>
|
|
||||||
<LI> Energy calibration <A HREF="../pdf/energyCalibrationHowTo.pdf">*pdf*</A>
|
|
||||||
<LI> Angular calibration <A HREF="../pdf/angularCalibrationHowTo.pdf">*pdf*</A>
|
|
||||||
</UL>
|
|
||||||
<BR>
|
|
||||||
|
|
||||||
<LI><A HREF="slsDetectorUsersDocs/index.html">Application Program Interface</A> <BR>
|
|
||||||
Doxygen documentation for using the slsDetectorUsers class
|
|
||||||
<A HREF="../pdf/slsDetectorUsersDocs.pdf">*pdf*</A> <BR>
|
|
||||||
<BR>
|
|
||||||
</UL>
|
|
||||||
|
|
||||||
<BR><HR>
|
|
||||||
<ADDRESS>
|
|
||||||
Anna Bergamaschi
|
|
||||||
</ADDRESS>
|
|
||||||
</BODY>
|
|
||||||
</HTML>
|
|
||||||
@ -1,32 +0,0 @@
|
|||||||
set(SOURCES
|
|
||||||
mainReceiver.cpp
|
|
||||||
)
|
|
||||||
|
|
||||||
include_directories(
|
|
||||||
../../slsSupportLib/include
|
|
||||||
../../slsReceiverSoftware/include
|
|
||||||
../../build/bin
|
|
||||||
../../slsdetectorSoftware/slsDetector
|
|
||||||
)
|
|
||||||
|
|
||||||
add_executable(slsMultiReceiver
|
|
||||||
${SOURCES}
|
|
||||||
)
|
|
||||||
|
|
||||||
target_link_libraries(slsMultiReceiver
|
|
||||||
slsReceiverShared
|
|
||||||
pthread
|
|
||||||
${ZeroMQ_LIBRARIES}
|
|
||||||
rt
|
|
||||||
)
|
|
||||||
|
|
||||||
if (HDF5_FOUND)
|
|
||||||
target_link_libraries(slsMultiReceiver ${HDF5_LIBRARIES})
|
|
||||||
endif ()
|
|
||||||
|
|
||||||
|
|
||||||
set_target_properties(slsMultiReceiver PROPERTIES
|
|
||||||
RUNTIME_OUTPUT_DIRECTORY ${CMAKE_BINARY_DIR}/bin
|
|
||||||
)
|
|
||||||
|
|
||||||
install(TARGETS slsMultiReceiver DESTINATION bin)
|
|
||||||
@ -1,62 +0,0 @@
|
|||||||
PKGDIR = ../..
|
|
||||||
LIBDIR = $(PKGDIR)/bin
|
|
||||||
INCLUDES = -I . -I$(PKGDIR)/slsSupportLib/include -I$(LIBDIR) -I$(PKGDIR)/slsDetectorSoftware/slsDetector -I$(PKGDIR)/slsReceiversoftware/include
|
|
||||||
SRC_DET = mainClient.cpp
|
|
||||||
SRC_REC = mainReceiver.cpp
|
|
||||||
ZMQLIBDIR = $(PKGDIR)/slsSupportLib/include
|
|
||||||
LDFLAG_DET = -I. -L$(LIBDIR) -Wl,-rpath=$(LIBDIR) -lSlsDetector -L/usr/lib64/ -pthread -lrt -L$(ZMQLIBDIR) -Wl,-rpath=$(ZMQLIBDIR) -lzmq
|
|
||||||
LDFLAG_REC = -I. -L$(LIBDIR) -Wl,-rpath=$(LIBDIR) -lSlsReceiver -L/usr/lib64/ -pthread -lrt -L$(ZMQLIBDIR) -Wl,-rpath=$(ZMQLIBDIR) -lzmq
|
|
||||||
DESTDIR ?= ../docs
|
|
||||||
|
|
||||||
HDF5 ?= no
|
|
||||||
HDF5_DIR ?= /opt/hdf5v1.10.0
|
|
||||||
|
|
||||||
ifeq ($(HDF5),yes)
|
|
||||||
LDFLAG_REC += -L$(HDF5_DIR)/lib -Wl,-rpath=$(HDF5_DIR)/lib -lhdf5 -lhdf5_cpp -lsz -lz -DHDF5C
|
|
||||||
endif
|
|
||||||
|
|
||||||
all: docs detUser slsMultiReceiver
|
|
||||||
#all: docs
|
|
||||||
|
|
||||||
docs: createdocs docspdf docshtml removedocs
|
|
||||||
|
|
||||||
createdocs: slsDetectorUsers.doxy mainClient.cpp mainReceiver.cpp
|
|
||||||
doxygen slsDetectorUsers.doxy
|
|
||||||
|
|
||||||
docspdf:
|
|
||||||
cd slsDetectorUsersDocs/latex && make
|
|
||||||
$(shell test -d $(DESTDIR) || mkdir -p $(DESTDIR))
|
|
||||||
$(shell test -d $(DESTDIR)/pdf || mkdir -p $(DESTDIR)/pdf)
|
|
||||||
mv slsDetectorUsersDocs/latex/refman.pdf $(DESTDIR)/pdf/slsDetectorUsersDocs.pdf
|
|
||||||
|
|
||||||
docshtml:
|
|
||||||
$(shell test -d $(DESTDIR) || mkdir -p $(DESTDIR))
|
|
||||||
$(shell test -d $(DESTDIR)/html || mkdir -p $(DESTDIR)/html)
|
|
||||||
$(shell test -d $(DESTDIR)/html/slsDetectorUsersDocs && rm -r $(DESTDIR)/html/slsDetectorUsersDocs)
|
|
||||||
mv slsDetectorUsersDocs/html $(DESTDIR)/html/slsDetectorUsersDocs
|
|
||||||
|
|
||||||
removedocs:
|
|
||||||
rm -rf slsDetectorUsersDocs;
|
|
||||||
|
|
||||||
detUser:$(SRC_DET)
|
|
||||||
echo "creating client"
|
|
||||||
mkdir -p bin
|
|
||||||
g++ -o bin/detUser $(SRC_DET) $(INCLUDES) $(LDFLAG_DET) -lm -lstdc++
|
|
||||||
|
|
||||||
slsMultiReceiver:$(SRC_REC)
|
|
||||||
echo "creating receiver"
|
|
||||||
echo $LDFLAG_REC
|
|
||||||
mkdir -p bin
|
|
||||||
g++ -o bin/slsMultiReceiver $(SRC_REC) $(INCLUDES) $(LDFLAG_REC) -lm -lstdc++
|
|
||||||
cp bin/slsMultiReceiver $(LIBDIR)
|
|
||||||
|
|
||||||
clean:
|
|
||||||
echo "cleaning for manual-api"
|
|
||||||
rm -rf bin/detUser bin/slsMultiReceiver bin/detReceiver slsDetectorUsersDocs
|
|
||||||
rm -rf slsDetectorUsersDocs
|
|
||||||
rm -rf $(DESTDIR)/html/slsDetectorUsersDocs
|
|
||||||
rm -rf $(DESTDIR)/pdf/slsDetectorUsersDocs.pdf
|
|
||||||
rm -rf $(LIBDIR)/slsMultiReceiver
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
@ -1,106 +0,0 @@
|
|||||||
/**
|
|
||||||
\file mainClient.cpp
|
|
||||||
|
|
||||||
This file is an example of how to implement the slsDetectorUsers class
|
|
||||||
You can compile it linking it to the slsDetector library
|
|
||||||
|
|
||||||
g++ mainClient.cpp -L lib -lSlsDetector -L/usr/lib64/ -L lib2 -lzmq -pthread -lrt -lm -lstdc++
|
|
||||||
|
|
||||||
where,
|
|
||||||
|
|
||||||
lib is the location of libSlsDetector.so
|
|
||||||
|
|
||||||
lib2 is the location of the libzmq.a.
|
|
||||||
[ libzmq.a is required only when using data call backs and enabling data streaming from receiver to client.
|
|
||||||
It is linked in manual/manual-api from slsReceiverSoftware/include ]
|
|
||||||
|
|
||||||
*/
|
|
||||||
|
|
||||||
#include "slsDetectorUsers.h"
|
|
||||||
#include "detectorData.h"
|
|
||||||
#include <iostream>
|
|
||||||
#include <cstdlib>
|
|
||||||
|
|
||||||
/**
|
|
||||||
* Data Call back function defined
|
|
||||||
* @param pData pointer to data structure received from the call back
|
|
||||||
* @param iframe frame number of data passed
|
|
||||||
* @param isubframe sub frame number of data passed ( only valid for EIGER in 32 bit mode)
|
|
||||||
* @param pArg pointer to object
|
|
||||||
* \returns integer that is currently ignored
|
|
||||||
*/
|
|
||||||
int dataCallback(detectorData *pData, int iframe, int isubframe, void *pArg)
|
|
||||||
{
|
|
||||||
std::cout << " DataCallback:"
|
|
||||||
<< "\n nx : " << pData->npoints
|
|
||||||
<< "\n ny : " << pData->npy
|
|
||||||
<< "\n Frame number : " << iframe << std::endl;
|
|
||||||
}
|
|
||||||
|
|
||||||
|
|
||||||
/**
|
|
||||||
* Example of a main program using the slsDetectorUsers class
|
|
||||||
*
|
|
||||||
* - Arguments are optional
|
|
||||||
* - argv[1] : Configuration File
|
|
||||||
* - argv[2] : Measurement Setup File
|
|
||||||
* - argv[3] : Detector Id (default is zero)
|
|
||||||
*/
|
|
||||||
int main(int argc, char **argv) {
|
|
||||||
/** - if specified, set ID from argv[3] */
|
|
||||||
int id=0;
|
|
||||||
if (argc>=4)
|
|
||||||
id=atoi(argv[3]);
|
|
||||||
|
|
||||||
|
|
||||||
/** - slsDetectorUsers Object is instantiated with appropriate ID */
|
|
||||||
int ret = 1;
|
|
||||||
slsDetectorUsers *pDetector = new slsDetectorUsers (ret, id);
|
|
||||||
if (ret == 1) {
|
|
||||||
std::cout << "Error: Could not instantiate slsDetectorUsers" << std::endl;
|
|
||||||
return EXIT_FAILURE;
|
|
||||||
}
|
|
||||||
|
|
||||||
|
|
||||||
/** - if specified, load configuration file (necessary at least the first time it is called to properly configure advanced settings in the shared memory) */
|
|
||||||
if (argc>=2){
|
|
||||||
pDetector->readConfigurationFile(argv[1]);
|
|
||||||
std::cout << "Detector configured" << std::endl;
|
|
||||||
}
|
|
||||||
|
|
||||||
/** - set detector in shared memory online (in case no config file was used) */
|
|
||||||
pDetector->setOnline(1);
|
|
||||||
|
|
||||||
/** - set receiver in shared memory online (in case no config file was used) */
|
|
||||||
pDetector->setReceiverOnline(1);
|
|
||||||
|
|
||||||
/** - registering data callback */
|
|
||||||
pDetector->registerDataCallback(&dataCallback, NULL);
|
|
||||||
|
|
||||||
|
|
||||||
/** - ensuring detector status is idle before starting acquisition. exiting if not idle */
|
|
||||||
int status = pDetector->getDetectorStatus();
|
|
||||||
if (status != 0){
|
|
||||||
std::cout << "Detector not ready: " << slsDetectorUsers::runStatusType(status) << std::endl;
|
|
||||||
return 1;
|
|
||||||
}
|
|
||||||
|
|
||||||
/** - if provided, load detector settings */
|
|
||||||
if (argc>=3){
|
|
||||||
pDetector->retrieveDetectorSetup(argv[2]);
|
|
||||||
std::cout << "Detector measurement set-up done" << std::endl;
|
|
||||||
}
|
|
||||||
|
|
||||||
|
|
||||||
/** - start measurement */
|
|
||||||
pDetector->startMeasurement();
|
|
||||||
std::cout << "measurement finished" << std::endl;
|
|
||||||
|
|
||||||
/** - returning when acquisition is finished or data are avilable */
|
|
||||||
|
|
||||||
/** - delete slsDetectorUsers object */
|
|
||||||
delete pDetector;
|
|
||||||
|
|
||||||
return 0;
|
|
||||||
}
|
|
||||||
|
|
||||||
@ -1,306 +0,0 @@
|
|||||||
/**
|
|
||||||
\file mainReceiver.cpp
|
|
||||||
|
|
||||||
This file is an example of how to implement the slsReceiverUsers class
|
|
||||||
You can compile it linking it to the slsReceiver library
|
|
||||||
|
|
||||||
g++ mainReceiver.cpp -L lib -lSlsReceiver -L/usr/lib64/ -L lib2 -lzmq -pthread -lrt -lm -lstdc++
|
|
||||||
|
|
||||||
where,
|
|
||||||
|
|
||||||
lib is the location of lSlsReceiver.so
|
|
||||||
|
|
||||||
lib2 is the location of the libzmq.a.
|
|
||||||
[ libzmq.a is required only when using data call backs and enabling data streaming from receiver to client.
|
|
||||||
It is linked in manual/manual-api from slsReceiverSoftware/include ]
|
|
||||||
|
|
||||||
*/
|
|
||||||
|
|
||||||
#include "sls_detector_defs.h"
|
|
||||||
#include "slsReceiverUsers.h"
|
|
||||||
|
|
||||||
#include <csignal> //SIGINT
|
|
||||||
#include <cstdlib> //system
|
|
||||||
#include <cstring>
|
|
||||||
#include <iostream>
|
|
||||||
//#include "utilities.h"
|
|
||||||
//#include "logger.h"
|
|
||||||
#include <cerrno>
|
|
||||||
#include <string>
|
|
||||||
#include <sys/types.h> //wait
|
|
||||||
#include <sys/wait.h> //wait
|
|
||||||
#include <syscall.h> //tid
|
|
||||||
#include <unistd.h> //usleep
|
|
||||||
using namespace std;
|
|
||||||
|
|
||||||
|
|
||||||
/** Define Colors to print data call back in different colors for different recievers */
|
|
||||||
#define PRINT_IN_COLOR(c,f, ...) printf ("\033[%dm" f RESET, 30 + c+1, ##__VA_ARGS__)
|
|
||||||
|
|
||||||
|
|
||||||
/** Variable is true to continue running, set to false upon interrupt */
|
|
||||||
bool keeprunning;
|
|
||||||
|
|
||||||
/**
|
|
||||||
* Control+C Interrupt Handler
|
|
||||||
* Sets the variable keeprunning to false, to let all the processes know to exit properly
|
|
||||||
*/
|
|
||||||
void sigInterruptHandler(int p){
|
|
||||||
keeprunning = false;
|
|
||||||
}
|
|
||||||
|
|
||||||
/**
|
|
||||||
* prints usage of this example program
|
|
||||||
*/
|
|
||||||
void printHelp() {
|
|
||||||
cprintf(RESET, "Usage:\n"
|
|
||||||
"./slsMultiReceiver(detReceiver) [start_tcp_port] [num_receivers] [1 for call back, 0 for none]\n\n");
|
|
||||||
exit(EXIT_FAILURE);
|
|
||||||
}
|
|
||||||
|
|
||||||
/**
|
|
||||||
* Start Acquisition Call back
|
|
||||||
* slsReceiver writes data if file write enabled.
|
|
||||||
* Users get data to write using call back if registerCallBackRawDataReady is registered.
|
|
||||||
* @param filepath file path
|
|
||||||
* @param filename file name
|
|
||||||
* @param fileindex file index
|
|
||||||
* @param datasize data size in bytes
|
|
||||||
* @param p pointer to object
|
|
||||||
* \returns ignored
|
|
||||||
*/
|
|
||||||
int StartAcq(char* filepath, char* filename, uint64_t fileindex, uint32_t datasize, void*p){
|
|
||||||
cprintf(BLUE, "#### StartAcq: filepath:%s filename:%s fileindex:%llu datasize:%u ####\n",
|
|
||||||
filepath, filename, (long long unsigned int)fileindex, datasize);
|
|
||||||
|
|
||||||
cprintf(BLUE, "--StartAcq: returning 0\n");
|
|
||||||
return 0;
|
|
||||||
}
|
|
||||||
|
|
||||||
/**
|
|
||||||
* Acquisition Finished Call back
|
|
||||||
* @param frames Number of frames caught
|
|
||||||
* @param p pointer to object
|
|
||||||
*/
|
|
||||||
void AcquisitionFinished(uint64_t frames, void*p){
|
|
||||||
cprintf(BLUE, "#### AcquisitionFinished: frames:%llu ####\n",(long long unsigned int)frames);
|
|
||||||
}
|
|
||||||
|
|
||||||
|
|
||||||
/**
|
|
||||||
* Get Receiver Data Call back
|
|
||||||
* Prints in different colors(for each receiver process) the different headers for each image call back.
|
|
||||||
* @param metadata sls_receiver_header metadata
|
|
||||||
* @param datapointer pointer to data
|
|
||||||
* @param datasize data size in bytes.
|
|
||||||
* @param p pointer to object
|
|
||||||
*/
|
|
||||||
void GetData(char* metadata, char* datapointer, uint32_t datasize, void* p){
|
|
||||||
slsDetectorDefs::sls_receiver_header* header = (slsDetectorDefs::sls_receiver_header*)metadata;
|
|
||||||
slsDetectorDefs::sls_detector_header detectorHeader = header->detHeader;
|
|
||||||
|
|
||||||
PRINT_IN_COLOR (detectorHeader.modId?detectorHeader.modId:detectorHeader.row,
|
|
||||||
"#### %d GetData: ####\n"
|
|
||||||
"frameNumber: %lu\t\texpLength: %u\t\tpacketNumber: %u\t\tbunchId: %lu"
|
|
||||||
"\t\ttimestamp: %lu\t\tmodId: %u\t\t"
|
|
||||||
"row: %u\t\tcolumn: %u\t\treserved: %u\t\tdebug: %u"
|
|
||||||
"\t\troundRNumber: %u\t\tdetType: %u\t\tversion: %u"
|
|
||||||
//"\t\tpacketsMask:%s"
|
|
||||||
"\t\tfirstbytedata: 0x%x\t\tdatsize: %u\n\n",
|
|
||||||
detectorHeader.row, (long unsigned int)detectorHeader.frameNumber,
|
|
||||||
detectorHeader.expLength, detectorHeader.packetNumber, (long unsigned int)detectorHeader.bunchId,
|
|
||||||
(long unsigned int)detectorHeader.timestamp, detectorHeader.modId,
|
|
||||||
detectorHeader.row, detectorHeader.column, detectorHeader.reserved,
|
|
||||||
detectorHeader.debug, detectorHeader.roundRNumber,
|
|
||||||
detectorHeader.detType, detectorHeader.version,
|
|
||||||
//header->packetsMask.to_string().c_str(),
|
|
||||||
((uint8_t)(*((uint8_t*)(datapointer)))), datasize);
|
|
||||||
}
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
/**
|
|
||||||
* Get Receiver Data Call back (modified)
|
|
||||||
* Prints in different colors(for each receiver process) the different headers for each image call back.
|
|
||||||
* @param metadata sls_receiver_header metadata
|
|
||||||
* @param datapointer pointer to data
|
|
||||||
* @param datasize data size in bytes.
|
|
||||||
* @param revDatasize new data size in bytes after the callback.
|
|
||||||
* This will be the size written/streamed. (only smaller value is allowed).
|
|
||||||
* @param p pointer to object
|
|
||||||
*/
|
|
||||||
void GetData(char* metadata, char* datapointer, uint32_t &revDatasize, void* p){
|
|
||||||
slsDetectorDefs::sls_receiver_header* header = (slsDetectorDefs::sls_receiver_header*)metadata;
|
|
||||||
slsDetectorDefs::sls_detector_header detectorHeader = header->detHeader;
|
|
||||||
|
|
||||||
PRINT_IN_COLOR (detectorHeader.modId?detectorHeader.modId:detectorHeader.row,
|
|
||||||
"#### %d GetData: ####\n"
|
|
||||||
"frameNumber: %llu\t\texpLength: %u\t\tpacketNumber: %u\t\tbunchId: %llu"
|
|
||||||
"\t\ttimestamp: %llu\t\tmodId: %u\t\t"
|
|
||||||
"row: %u\t\tcolumn: %u\t\treserved: %u\t\tdebug: %u"
|
|
||||||
"\t\troundRNumber: %u\t\tdetType: %u\t\tversion: %u"
|
|
||||||
//"\t\tpacketsMask:%s"
|
|
||||||
"\t\tfirstbytedata: 0x%x\t\tdatsize: %u\n\n",
|
|
||||||
detectorHeader.row, (long long unsigned int)detectorHeader.frameNumber,
|
|
||||||
detectorHeader.expLength, detectorHeader.packetNumber, (long long unsigned int)detectorHeader.bunchId,
|
|
||||||
(long long unsigned int)detectorHeader.timestamp, detectorHeader.modId,
|
|
||||||
detectorHeader.row, detectorHeader.column, detectorHeader.reserved,
|
|
||||||
detectorHeader.debug, detectorHeader.roundRNumber,
|
|
||||||
detectorHeader.detType, detectorHeader.version,
|
|
||||||
//header->packetsMask.to_string().c_str(),
|
|
||||||
((uint8_t)(*((uint8_t*)(datapointer)))), revDatasize);
|
|
||||||
|
|
||||||
// if data is modified, eg ROI and size is reduced
|
|
||||||
revDatasize = 26000;
|
|
||||||
}
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
/**
|
|
||||||
* Example of main program using the slsReceiverUsers class
|
|
||||||
*
|
|
||||||
* - Defines in file for:
|
|
||||||
* - Default Number of receivers is 1
|
|
||||||
* - Default Start TCP port is 1954
|
|
||||||
*/
|
|
||||||
int main(int argc, char *argv[]) {
|
|
||||||
|
|
||||||
/** - set default values */
|
|
||||||
int numReceivers = 1;
|
|
||||||
int startTCPPort = 1954;
|
|
||||||
int withCallback = 0;
|
|
||||||
keeprunning = true;
|
|
||||||
|
|
||||||
/** - get number of receivers and start tcp port from command line arguments */
|
|
||||||
if ( (argc != 4) || (!sscanf(argv[1],"%d", &startTCPPort)) || (!sscanf(argv[2],"%d", &numReceivers)) || (!sscanf(argv[3],"%d", &withCallback)) )
|
|
||||||
printHelp();
|
|
||||||
cprintf(BLUE,"Parent Process Created [ Tid: %ld ]\n", (long)syscall(SYS_gettid));
|
|
||||||
cprintf(RESET, "Number of Receivers: %d\n", numReceivers);
|
|
||||||
cprintf(RESET, "Start TCP Port: %d\n", startTCPPort);
|
|
||||||
cprintf(RESET, "Callback Enable: %d\n", withCallback);
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
/** - Catch signal SIGINT to close files and call destructors properly */
|
|
||||||
struct sigaction sa;
|
|
||||||
sa.sa_flags=0; // no flags
|
|
||||||
sa.sa_handler=sigInterruptHandler; // handler function
|
|
||||||
sigemptyset(&sa.sa_mask); // dont block additional signals during invocation of handler
|
|
||||||
if (sigaction(SIGINT, &sa, nullptr) == -1) {
|
|
||||||
cprintf(RED, "Could not set handler function for SIGINT\n");
|
|
||||||
}
|
|
||||||
|
|
||||||
/** - Ignore SIG_PIPE, prevents global signal handler, handle locally,
|
|
||||||
instead of a server crashing due to client crash when writing, it just gives error */
|
|
||||||
struct sigaction asa;
|
|
||||||
asa.sa_flags=0; // no flags
|
|
||||||
asa.sa_handler=SIG_IGN; // handler function
|
|
||||||
sigemptyset(&asa.sa_mask); // dont block additional signals during invocation of handler
|
|
||||||
if (sigaction(SIGPIPE, &asa, nullptr) == -1) {
|
|
||||||
cprintf(RED, "Could not set handler function for SIGPIPE\n");
|
|
||||||
}
|
|
||||||
|
|
||||||
|
|
||||||
/** - loop over number of receivers */
|
|
||||||
for (int i = 0; i < numReceivers; ++i) {
|
|
||||||
|
|
||||||
/** - fork process to create child process */
|
|
||||||
pid_t pid = fork();
|
|
||||||
|
|
||||||
/** - if fork failed, raise SIGINT and properly destroy all child processes */
|
|
||||||
if (pid < 0) {
|
|
||||||
cprintf(RED,"fork() failed. Killing all the receiver objects\n");
|
|
||||||
raise(SIGINT);
|
|
||||||
}
|
|
||||||
|
|
||||||
/** - if child process */
|
|
||||||
else if (pid == 0) {
|
|
||||||
cprintf(BLUE,"Child process %d [ Tid: %ld ]\n", i, (long)syscall(SYS_gettid));
|
|
||||||
|
|
||||||
char temp[10];
|
|
||||||
sprintf(temp,"%d",startTCPPort + i);
|
|
||||||
char* args[] = {(char*)"ignored", (char*)"--rx_tcpport", temp};
|
|
||||||
int ret = slsDetectorDefs::OK;
|
|
||||||
/** - create slsReceiverUsers object with appropriate arguments */
|
|
||||||
slsReceiverUsers *receiver = new slsReceiverUsers(3, args, ret);
|
|
||||||
if(ret==slsDetectorDefs::FAIL){
|
|
||||||
delete receiver;
|
|
||||||
exit(EXIT_FAILURE);
|
|
||||||
}
|
|
||||||
|
|
||||||
|
|
||||||
/** - register callbacks. remember to set file write enable to 0 (using the client)
|
|
||||||
if we should not write files and you will write data using the callbacks */
|
|
||||||
if (withCallback) {
|
|
||||||
|
|
||||||
/** - Call back for start acquisition */
|
|
||||||
cprintf(BLUE, "Registering StartAcq()\n");
|
|
||||||
receiver->registerCallBackStartAcquisition(StartAcq, nullptr);
|
|
||||||
|
|
||||||
/** - Call back for acquisition finished */
|
|
||||||
cprintf(BLUE, "Registering AcquisitionFinished()\n");
|
|
||||||
receiver->registerCallBackAcquisitionFinished(AcquisitionFinished, nullptr);
|
|
||||||
|
|
||||||
/* - Call back for raw data */
|
|
||||||
cprintf(BLUE, "Registering GetData() \n");
|
|
||||||
if (withCallback == 1) receiver->registerCallBackRawDataReady(GetData,nullptr);
|
|
||||||
else if (withCallback == 2) receiver->registerCallBackRawDataModifyReady(GetData,nullptr);
|
|
||||||
}
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
/** - start tcp server thread */
|
|
||||||
if (receiver->start() == slsDetectorDefs::FAIL){
|
|
||||||
delete receiver;
|
|
||||||
cprintf(BLUE,"Exiting Child Process [ Tid: %ld ]\n", (long)syscall(SYS_gettid));
|
|
||||||
exit(EXIT_FAILURE);
|
|
||||||
}
|
|
||||||
|
|
||||||
/** - as long as keeprunning is true (changes with Ctrl+C) */
|
|
||||||
while(keeprunning)
|
|
||||||
pause();
|
|
||||||
/** - interrupt caught, delete slsReceiverUsers object and exit */
|
|
||||||
delete receiver;
|
|
||||||
cprintf(BLUE,"Exiting Child Process [ Tid: %ld ]\n", (long)syscall(SYS_gettid));
|
|
||||||
exit(EXIT_SUCCESS);
|
|
||||||
break;
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
/** - Parent process ignores SIGINT (exits only when all child process exits) */
|
|
||||||
sa.sa_flags=0; // no flags
|
|
||||||
sa.sa_handler=SIG_IGN; // handler function
|
|
||||||
sigemptyset(&sa.sa_mask); // dont block additional signals during invocation of handler
|
|
||||||
if (sigaction(SIGINT, &sa, nullptr) == -1) {
|
|
||||||
cprintf(RED, "Could not set handler function for SIGINT\n");
|
|
||||||
}
|
|
||||||
|
|
||||||
|
|
||||||
/** - Print Ready and Instructions how to exit */
|
|
||||||
cout << "Ready ... " << endl;
|
|
||||||
cprintf(RESET, "\n[ Press \'Ctrl+c\' to exit ]\n");
|
|
||||||
|
|
||||||
/** - Parent process waits for all child processes to exit */
|
|
||||||
for(;;) {
|
|
||||||
pid_t childPid = waitpid (-1, nullptr, 0);
|
|
||||||
|
|
||||||
// no child closed
|
|
||||||
if (childPid == -1) {
|
|
||||||
if (errno == ECHILD) {
|
|
||||||
cprintf(GREEN,"All Child Processes have been closed\n");
|
|
||||||
break;
|
|
||||||
} else {
|
|
||||||
cprintf(RED, "Unexpected error from waitpid(): (%s)\n",strerror(errno));
|
|
||||||
break;
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
//child closed
|
|
||||||
cprintf(BLUE,"Exiting Child Process [ Tid: %ld ]\n", (long int) childPid);
|
|
||||||
}
|
|
||||||
|
|
||||||
cout << "Goodbye!" << endl;
|
|
||||||
return 0;
|
|
||||||
}
|
|
||||||
|
|
||||||
@ -1,91 +0,0 @@
|
|||||||
# If the EXTRACT_ALL tag is set to YES doxygen will assume all entities in
|
|
||||||
# documentation are documented, even if no documentation was available.
|
|
||||||
# Private class members and static file members will be hidden unless
|
|
||||||
# the EXTRACT_PRIVATE and EXTRACT_STATIC tags are set to YES
|
|
||||||
|
|
||||||
EXTRACT_ALL = YES
|
|
||||||
|
|
||||||
# If the EXTRACT_PRIVATE tag is set to YES all private members of a class
|
|
||||||
# will be included in the documentation.
|
|
||||||
|
|
||||||
EXTRACT_PRIVATE = NO
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
# If the EXTRACT_STATIC tag is set to YES all static members of a file
|
|
||||||
# will be included in the documentation.
|
|
||||||
|
|
||||||
EXTRACT_STATIC = YES
|
|
||||||
|
|
||||||
# If the EXTRACT_LOCAL_CLASSES tag is set to YES classes (and structs)
|
|
||||||
# defined locally in source files will be included in the documentation.
|
|
||||||
# If set to NO only classes defined in header files are included.
|
|
||||||
|
|
||||||
EXTRACT_LOCAL_CLASSES = YES
|
|
||||||
|
|
||||||
# This flag is only useful for Objective-C code. When set to YES local
|
|
||||||
# methods, which are defined in the implementation section but not in
|
|
||||||
# the interface are included in the documentation.
|
|
||||||
# If set to NO (the default) only methods in the interface are included.
|
|
||||||
|
|
||||||
EXTRACT_LOCAL_METHODS = YES
|
|
||||||
|
|
||||||
# If this flag is set to YES, the members of anonymous namespaces will be
|
|
||||||
# extracted and appear in the documentation as a namespace called
|
|
||||||
# 'anonymous_namespace{file}', where file will be replaced with the base
|
|
||||||
# name of the file that contains the anonymous namespace. By default
|
|
||||||
# anonymous namespace are hidden.
|
|
||||||
|
|
||||||
EXTRACT_ANON_NSPACES = NO
|
|
||||||
|
|
||||||
# If the HIDE_UNDOC_MEMBERS tag is set to YES, Doxygen will hide all
|
|
||||||
# undocumented members of documented classes, files or namespaces.
|
|
||||||
# If set to NO (the default) these members will be included in the
|
|
||||||
# various overviews, but no documentation section is generated.
|
|
||||||
# This option has no effect if EXTRACT_ALL is enabled.
|
|
||||||
|
|
||||||
HIDE_UNDOC_MEMBERS = NO
|
|
||||||
|
|
||||||
# If the HIDE_UNDOC_CLASSES tag is set to YES, Doxygen will hide all
|
|
||||||
# undocumented classes that are normally visible in the class hierarchy.
|
|
||||||
# If set to NO (the default) these classes will be included in the various
|
|
||||||
# overviews. This option has no effect if EXTRACT_ALL is enabled.
|
|
||||||
|
|
||||||
HIDE_UNDOC_CLASSES = NO
|
|
||||||
|
|
||||||
# If the HIDE_FRIEND_COMPOUNDS tag is set to YES, Doxygen will hide all
|
|
||||||
# friend (class|struct|union) declarations.
|
|
||||||
# If set to NO (the default) these declarations will be included in the
|
|
||||||
# documentation.
|
|
||||||
|
|
||||||
HIDE_FRIEND_COMPOUNDS = NO
|
|
||||||
|
|
||||||
INTERNAL_DOCS = NO
|
|
||||||
|
|
||||||
SHOW_INCLUDE_FILES = YES
|
|
||||||
|
|
||||||
SHOW_FILES = YES
|
|
||||||
|
|
||||||
SHOW_NAMESPACES = NO
|
|
||||||
|
|
||||||
COMPACT_LATEX = YES
|
|
||||||
|
|
||||||
PAPER_TYPE = a4
|
|
||||||
|
|
||||||
PDF_HYPERLINKS = YES
|
|
||||||
|
|
||||||
USE_PDFLATEX = YES
|
|
||||||
|
|
||||||
LATEX_HIDE_INDICES = YES
|
|
||||||
|
|
||||||
SOURCE_BROWSER = YES
|
|
||||||
|
|
||||||
PREDEFINED = __cplusplus
|
|
||||||
|
|
||||||
INPUT = ../../slsDetectorSoftware/slsDetector/slsDetectorUsers.h \
|
|
||||||
../../slDetectorSoftware/slsDetectorAnalysis/detectorData.h \
|
|
||||||
../../slsReceiverSoftware/include/slsReceiverUsers.h \
|
|
||||||
mainClient.cpp \
|
|
||||||
mainReceiver.cpp
|
|
||||||
|
|
||||||
OUTPUT_DIRECTORY = slsDetectorUsersDocs
|
|
||||||
Binary file not shown.
|
Before Width: | Height: | Size: 59 KiB |
Binary file not shown.
|
Before Width: | Height: | Size: 55 KiB |
File diff suppressed because it is too large
Load Diff
File diff suppressed because it is too large
Load Diff
@ -1,56 +0,0 @@
|
|||||||
DESTDIR?=../docs
|
|
||||||
|
|
||||||
|
|
||||||
#manual-api manual-calwiz manual-client manual-gui manual-main
|
|
||||||
|
|
||||||
TEX=latex
|
|
||||||
|
|
||||||
MAINTEXS= angularCalibrationHowTo.tex energyCalibrationHowTo.tex
|
|
||||||
|
|
||||||
TEXS=ancCal.tex enCal.tex installation.tex
|
|
||||||
|
|
||||||
DVIS = $(MAINTEXS:.tex=.dvi)
|
|
||||||
PSS = $(MAINTEXS:.tex=.ps)
|
|
||||||
PDFS = $(MAINTEXS:.tex=.pdf)
|
|
||||||
HTMLS = $(MAINTEXS:%.tex=%)
|
|
||||||
|
|
||||||
|
|
||||||
all: pdf html
|
|
||||||
echo $(PWD)
|
|
||||||
echo $(PDFS)
|
|
||||||
echo $(HTMLS)
|
|
||||||
|
|
||||||
|
|
||||||
pdf: $(PDFS)
|
|
||||||
$(shell test -d $(DESTDIR) || mkdir -p $(DESTDIR))
|
|
||||||
$(shell test -d $(DESTDIR)/pdf || mkdir -p $(DESTDIR)/pdf)
|
|
||||||
mv $(PDFS) $(DESTDIR)/pdf
|
|
||||||
|
|
||||||
html: $(HTMLS)
|
|
||||||
|
|
||||||
$(HTMLS): $(TEXS) $(MAINTEXS)
|
|
||||||
$(shell test -d $(DESTDIR) || mkdir -p $(DESTDIR))
|
|
||||||
$(shell test -d $(DESTDIR)/html || mkdir -p $(DESTDIR)/html)
|
|
||||||
$(shell test -d $(DESTDIR)/html/$@ && rm -r $(DESTDIR)/html/$@)
|
|
||||||
latex $@.tex
|
|
||||||
latex2html -split 4 $@.tex
|
|
||||||
mv $@ $(DESTDIR)/html
|
|
||||||
|
|
||||||
%.dvi : %.tex $(TEXS)
|
|
||||||
latex $<
|
|
||||||
latex $<
|
|
||||||
|
|
||||||
%.ps : %.dvi
|
|
||||||
dvips -o $@ $<
|
|
||||||
|
|
||||||
|
|
||||||
%.pdf : %.ps
|
|
||||||
ps2pdf $< $@
|
|
||||||
|
|
||||||
|
|
||||||
clean:
|
|
||||||
rm -rf *.aux *.log *.toc *.out $(DVIS) $(PSS) $(PDFS) $(HTMLS)
|
|
||||||
rm -rf $(DESTDIR)/html/angularCalibrationHowTo
|
|
||||||
rm -rf $(DESTDIR)/html/energyCalibrationHowTo
|
|
||||||
rm -rf $(DESTDIR)/pdf/angularCalibrationHowTo.pdf
|
|
||||||
rm -rf $(DESTDIR)/pdf/energyCalibrationHowTo.pdf
|
|
||||||
File diff suppressed because it is too large
Load Diff
Binary file not shown.
|
Before Width: | Height: | Size: 62 KiB |
@ -1,171 +0,0 @@
|
|||||||
|
|
||||||
In order to convert from strip number to 2$\theta$-angle, an accurate angular calibration of the detector must be performed (for details see the paper Bergamaschi, A. et al. (2010). J. Synchrotron Rad. 17, 653-668). \\
|
|
||||||
|
|
||||||
For this purpose, a series of patterns of a powder standard with symmetric peaks (e.g. silicon) must acquired while shifting the detector by an angular step of the order of about 2\% of the module size. During the measurement, a strong intensity peak (e.g. Si(111)) should pass through the field of view of every module such that it can be used as a reference angular position to perform the calibration of the modules position.\\
|
|
||||||
|
|
||||||
In a first step, the peak is fitted with a Gaussian in order to determine its position $C_{peak}$ in channel number for each of the acquired patterns.\\
|
|
||||||
In a second step, for each module $i$, the encoder position $\Theta_e$ is fitted as a function of the peak position $C_{peak}$ according to:
|
|
||||||
\begin{equation}\label{eq:angcal}
|
|
||||||
\Theta_e=\Theta_o^i-\arctan\Big(\frac{p \cdot (C_{peak}-C_{center}^i)}{R^i}\Big),
|
|
||||||
\end{equation}
|
|
||||||
where the parameters $\Theta_o^i$ is the angular offset with respect to the diffractometer zero position, $C_{center}^{i}$ is the central channel and $R^i$ is the distance of the module $i$ from the diffractometer center while $p=50~\mu m$ is the strip pitch of the detector. \\
|
|
||||||
Finally, the global offset of the detector system is precisely determined by refining a silicon pattern at a well-defined energy (i.e., knowing the position of the peak).
|
|
||||||
|
|
||||||
The same function of equation~\ref{eq:angcal}, with the parameters obtained from the calibration, is used in order to convert from channel number to 2$\theta$-angle.
|
|
||||||
|
|
||||||
The parallax at the borders of the modules due to the thickness of the silicon sensor is a function of the X-ray energy (higher energy X-rays are absorbed deeper inside the sensor) and is of the order of 0.2~mdeg at 12~keV and 0.5~mdeg at 30~keV. \\
|
|
||||||
The differences in pixel size due to the different portion of solid angle covered by the strips on the border of the modules and the higher efficiency due to the longer path of the X-rays in the sensor are removed by the flat field correction. This also normalizes additional differences in pixel size between channels which are also present because of mismatches in the strip sensor fabrication and in fluctuations of the channels threshold level.
|
|
||||||
|
|
||||||
Patterns acquired at different detector positions are generally merged together in order to fill the gaps between the modules and correct possibly bad functioning channels. In this procedure the data from different positions which are closer than 4~mdeg (the average pixel size) are averaged and the new position is set to the mean of the positions of the original points.
|
|
||||||
|
|
||||||
|
|
||||||
The position and width of the peaks results from a fit over several detector channels. Geometrical distortions might disturb this determination mainly because of errors in the angular calibration, fluctuations in the encoder position, variations between channels and parallax effects.\\
|
|
||||||
The resolution in locating the peak center and determining its width and integrated intensity has been estimated by acquiring several patterns of a LaB$_6$ sample in a 300~$\mu$m capillary with the detector shifted in 5~mdeg steps between 30.4 and 36.5 degrees. The 16~peaks acquired have been fitted with a Gaussian function plus background and the fluctuations on the fitted parameters have been calculated. The resulting average resolutions are 0.63$\pm$0.06~mdeg for the peak center and 0.22$\pm$0.05~mdeg for the peak Full-Width at Half-Maximum (FWHM) for an average peak FWHM of 27.0$\pm$2.5~mdeg. \\
|
|
||||||
These results show that the angular calibration allows a resolution in determining the peaks position and width which is appropriate for structural determination.
|
|
||||||
|
|
||||||
\section{Data acquisition}
|
|
||||||
|
|
||||||
The angular calibration consists in acquiring a set of diffraction patterns of a well known powder standard (e.g. Silicon) at different encoder positions. In order to facilitate the procedure, the sample should not emit fluorescent light and should present relatively symmetric peaks. \\
|
|
||||||
During the measurement, a strong intensity peak (e.g. Si(111)) should pass through the field of view of every module such that it can be used as a reference angular position to perform the calibration of the modules position. In general the highest peak will be used for the calibration, but this is not necessary in case there would be e.g. geometrical limitations for shifting the detector. \\ \textbf{Do not forget to properly position the beam stopper if the detector is scanned in front of the direct beam.}\\
|
|
||||||
The detector should be shifted of an angular step of the order of about 2\% of the module size, such that about 50 patterns can contribute to the fitting of the 3 parameters necessary for the angular calibration.\\
|
|
||||||
|
|
||||||
All the angular calibration procedure should be acquired using a trimmed detector with the threshold set at half of the X-ray energy (Assuming no fluorescent element in the standard). A flat field should also be acquired in order to precisely correct the data, while the X-ray intensity should be kept lower than about 100~kHz per strip in order to avoid the need for rate corrections.
|
|
||||||
|
|
||||||
A rough angular conversion file starting from a previous calibration or from the geometric characteristics of the mechanics is an advantage. The angular conversion file should contain a line for each module of the detector with its module number $i$, center $C_{center}^{i}$ and error, conversion radius $p/R^i$ and error, offset $\Theta_o^i$ and error:
|
|
||||||
\begin{verbatim}
|
|
||||||
module 0 center 639.5 +- 0 conversion 6.56E-05 +- 0 offset 0 +- 0
|
|
||||||
\end{verbatim}
|
|
||||||
Also the \textit{global offset} value of the beamline should be approximately known i.e. the angular position of channel 0 of module 0 when the motor is set at 0. \\
|
|
||||||
All the documentation assumes that the detector is oriented in the same direction as the encoder position i.e. large channel number at higher angles (both per module and absolute). If this is not the case, the \textit{angular direction} should be set to -1.
|
|
||||||
|
|
||||||
\subsection{Software}
|
|
||||||
|
|
||||||
For the acquisition ot the data you need to install the slsDetector software package (please refere to separate documentation). The use of the GUI is optional and all operations can be performed also using the text client.\\
|
|
||||||
|
|
||||||
Please make sure that you have edited the \\
|
|
||||||
\textit{slsDetectorSoftware/usersFunctions/angleFunction.h} \\
|
|
||||||
in order to match the angular conversion for your geometry and \\
|
|
||||||
\textit{slsDetectorSoftware/usersFunctions/usersFunctions.cpp} \\
|
|
||||||
in order to be able to move the detector and read out its position by using the slsDetector software.
|
|
||||||
|
|
||||||
In the following the command to acquire a dataset for the angular calibration with an exposure time of 1~s, and position shift
|
|
||||||
\begin{verbatim}
|
|
||||||
#setup angular calibration log mode
|
|
||||||
> sls_detector_put angcallog 1
|
|
||||||
#set exposure time to 1s
|
|
||||||
> sls_detector_put exptime 1.
|
|
||||||
#setup threshold scan
|
|
||||||
> sls_detector_put scan0script position
|
|
||||||
#setup the precision for the scan variable in the file name
|
|
||||||
> sls_detector_put scan0prec 2
|
|
||||||
#set scan range between 20deg and -60deg, step of -0.1deg
|
|
||||||
# (at 12.4 keV the Si(111) peak is at approx 19deg
|
|
||||||
> sls_detector_put scan0range 20 -60 -0.1
|
|
||||||
#acquire the data
|
|
||||||
> sls_detector_acquire
|
|
||||||
#unset angular calibration log mode
|
|
||||||
> sls_detector_put angcallog 0
|
|
||||||
\end{verbatim}
|
|
||||||
|
|
||||||
With the GUI you can obtain the same results by clicking on the \textit{Angular calibration} log button in the advanced tab (see figure~\ref{fig:guiangcallog}) and setting up the motor position scan in the Actions tab (see figure~\ref{fig:guiposscan}). The exposure time should also be set in the measurement tab.
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
Additional to the data files, the acquisition will produce a .angcal file containing an header and, for each step of the acquisition, the exect value of the motor position and the file name. \\
|
|
||||||
In case you forgot to enable the angcallog flag in the software, you can produce the file with the syntax as follows, assuming that you know the exact values of your encoder for each frame:
|
|
||||||
\begin{verbatim}
|
|
||||||
type Mythen
|
|
||||||
maxmod 32
|
|
||||||
nmod 32
|
|
||||||
angconv /scratch/angcal20120422/ang.off
|
|
||||||
globaloff 5.088
|
|
||||||
fineoff 0.0
|
|
||||||
angdir 1
|
|
||||||
ffdir /scratch/angcal20120422/
|
|
||||||
flatfield flatfield_E12keV_T6keV_0.raw
|
|
||||||
badchannels /scratch/cal/bad.chans
|
|
||||||
19.99998 angcal_S20.00_0
|
|
||||||
19.90001 angcal_S19.90_0
|
|
||||||
19.79999 angcal_S19.80_0
|
|
||||||
19.70002 angcal_S19.70_0
|
|
||||||
......
|
|
||||||
\end{verbatim}
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\begin{figure}
|
|
||||||
\caption{Acquisition GUI window to enable the angular calibration log.} \label{fig:guiangcallog}
|
|
||||||
\includegraphics[width=\textwidth]{enable_angcal.eps}
|
|
||||||
\end{figure}
|
|
||||||
|
|
||||||
\begin{figure}
|
|
||||||
\caption{Acquisition GUI window to setup the motor position scan.} \label{fig:guiposscan}
|
|
||||||
\includegraphics[width=\textwidth]{position_scan.eps}
|
|
||||||
\end{figure}
|
|
||||||
\newpage
|
|
||||||
|
|
||||||
\section{Data analysis}
|
|
||||||
|
|
||||||
The data analysis consists in fitting with a gaussian the selected peak of the powder pattern for each position in order to determine its position is channel number as a function of the encoder position. \\
|
|
||||||
In a second step, for each module, the channel vs. encoder curve is fitted in order to extrapolate the three parameters necessary for the angular conversion and the result is written to file
|
|
||||||
|
|
||||||
\subsection{Software}
|
|
||||||
|
|
||||||
The software used for the angular calibration data analysis is based on root (see http://root.cern.ch).\\
|
|
||||||
This can be downloaded as binary or installed from sources. The version of the software should not play an important role, but up to now everything has been implemented and tested using version 5.20.
|
|
||||||
|
|
||||||
To start the data analysis simply launch:
|
|
||||||
\begin{verbatim}
|
|
||||||
> ./angularCalibrationWizard
|
|
||||||
\end{verbatim}
|
|
||||||
|
|
||||||
\begin{figure}
|
|
||||||
\caption{Overview of the nagular calibration dataset.} \label{fig:setangcal}
|
|
||||||
\includegraphics[width=\textwidth]{setupAngcal.eps}
|
|
||||||
\end{figure}
|
|
||||||
|
|
||||||
To setup the angular calibration dataset, the .angcal file should be selected (or digited) and the load button should be pressed to confirm. The parameters of the angular calibration are then read to the file and the data loaded for a quick overview (see figure~\ref{fig:setangcal}).\\
|
|
||||||
The software assumes that the data files (.raw) and the .encal file are in the same directory.\\
|
|
||||||
A 2D color plot will show a rebinned overview of the dataset. The peak to be fitted should be visible as a high intensity diagonal line passing through all the channels.
|
|
||||||
|
|
||||||
|
|
||||||
\begin{figure}
|
|
||||||
\caption{Preview of the fitting of the Si(111) peak for one of the detector positions.} \label{fig:peakfit}
|
|
||||||
\includegraphics[width=\textwidth]{peakFit.eps}
|
|
||||||
\end{figure}
|
|
||||||
|
|
||||||
For a more detailed view of the data, one can select an angular calibration step from the combo box, select the plot mode (raw data or processed data as a function of channel number, processed angular converted data, flat field data, or again an overview of the whole dataset). \\
|
|
||||||
By (right) clicking close to the axis you are able to zoom in/out, set the scale to logarithmic etc.\\
|
|
||||||
|
|
||||||
If the bad channel list, angular conversion file or flat field file are changed compared to the acquisition, they can be reloaded by editing the correspondent text entries and pressing enter.
|
|
||||||
|
|
||||||
In particular, the angular converted data should be checked in order to view the position of the selected peak. In this case, the plot will be zoomed to the angular region slected in the minimum and maximum angle entries. By pressing fit, the fit of the peak in the selected angular range will be shown (see figure~\ref{fig:peakfit}). It is useful to check that it works properly in several positions such that then the sequential fitting on all steps can give good results.
|
|
||||||
|
|
||||||
To automatically fit all positions simply press \textit{Proceed to Modules Calibration} and wait until all steps are fitted. This can take sometime, depending on the number of steps.
|
|
||||||
|
|
||||||
|
|
||||||
\begin{figure}
|
|
||||||
\caption{Window for fitting the angular calibration parameters of a module.} \label{fig:anglefit}
|
|
||||||
\includegraphics[width=\textwidth]{angleFit.eps}
|
|
||||||
\end{figure}
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
In the module calibration window (see figure~\ref{fig:anglefit}), you will be able to fit the channel number to encoder position curve to estimate the three angular calibration parameters for each module.\\
|
|
||||||
The entries show the angular calibration parameters used for approximate angular conversion in the previous step of the calibration. These can be edited and will be used as start parameters for the fit.
|
|
||||||
By clicking on the check box next to the parameters, the selected parameter will be set and fixed during the fit. Often the center is used as a fix parameter.\\
|
|
||||||
It is possible to navigate between modules by using the Previous and Next module buttons. To refit the current module (e.g. after changing one of the parameters) simply re-click on the module number.
|
|
||||||
|
|
||||||
After fitting all modules you can click on the \textit{Write Angular Calibration} button, select the file name to write to and save the calibration angulat calibration data. Please note that the offset of module 0 will always be 0 and the other values will be rescaled to its value. Therefore the global offset of the steup will always need to be specified for a proper angular conversion unless the home of the encoder will not be redifined.
|
|
||||||
|
|
||||||
\section{Setup calibration files}
|
|
||||||
|
|
||||||
To use the generated angular calibration files, using the text client:
|
|
||||||
\begin{verbatim}
|
|
||||||
sls_detector_put angconv /scratch/ang_new.off
|
|
||||||
\end{verbatim}
|
|
||||||
while for the GUI the file name should be specified in the configuration file (works also for the text client).
|
|
||||||
\end{document}
|
|
||||||
|
|
||||||
File diff suppressed because it is too large
Load Diff
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|
Before Width: | Height: | Size: 36 KiB |
@ -1,17 +0,0 @@
|
|||||||
\documentclass{article}
|
|
||||||
\usepackage{amssymb}
|
|
||||||
\usepackage[dvips]{graphicx}
|
|
||||||
\usepackage{verbatim}
|
|
||||||
\begin{document}
|
|
||||||
|
|
||||||
\title{Angular calibration wizard manual}
|
|
||||||
\author{Anna Bergamaschi}
|
|
||||||
\date{\today}
|
|
||||||
\maketitle
|
|
||||||
|
|
||||||
|
|
||||||
\section{Introduction}
|
|
||||||
\input{ancCal.tex}
|
|
||||||
|
|
||||||
\end{document}
|
|
||||||
|
|
||||||
File diff suppressed because it is too large
Load Diff
Binary file not shown.
|
Before Width: | Height: | Size: 68 KiB |
@ -1,24 +0,0 @@
|
|||||||
\documentclass{report}
|
|
||||||
\usepackage{amssymb}
|
|
||||||
\usepackage[dvips]{graphicx}
|
|
||||||
\usepackage{verbatim}
|
|
||||||
\begin{document}
|
|
||||||
|
|
||||||
\title{Calibration wizards manual}
|
|
||||||
\author{Anna Bergamaschi}
|
|
||||||
\date{\today}
|
|
||||||
\maketitle
|
|
||||||
\chapter{Installation}
|
|
||||||
\input{installation.tex}
|
|
||||||
|
|
||||||
\chapter{Energy calibration}
|
|
||||||
%\section{Introduction}
|
|
||||||
\input{enCal.tex}
|
|
||||||
|
|
||||||
|
|
||||||
\chapter{Angular calibration}
|
|
||||||
%\section{Introduction}
|
|
||||||
\input{ancCal.tex}
|
|
||||||
|
|
||||||
\end{document}
|
|
||||||
|
|
||||||
@ -1,214 +0,0 @@
|
|||||||
|
|
||||||
The choice of the level of the comparator threshold plays a very important role in counting systems since it influences the efficiency of the detector as well as its spatial resolution (for details see the paper Bergamaschi, A. et al. (2010). J. Synchrotron Rad. 17, 653-668).
|
|
||||||
|
|
||||||
|
|
||||||
Single-photon-counting detectors are sensitive to single photons and the only limitation on the fluctuations of the number of counts is given by the Poisson-like statistics of the X-ray quanta.
|
|
||||||
The digitized signal does not carry any information concerning the energy of the X-rays and all photons with an energy larger than the threshold are counted as one bit. This means that the choice of the correct comparator threshold level is critical in order to obtain good-quality data.\\
|
|
||||||
Figure~\ref{fig:thrscanexpl} shows the expected number of counts as a function of the threshold energy for $N_0$ monochromatic X-rays of energy $E_0$. This is often denominated S-curve and can be interpreted as the integral of the signal spectrum between the threshold level and infinity.
|
|
||||||
The dashed curve represents the behavior of an ideal counting system: nothing is counted for thresholds larger than the photon energy and all the $N_0$ X-rays are counted for thresholds lower than $E_0$.
|
|
||||||
The thick solid line represents the physical curve which also takes into account the electronic noise and the charge sharing between channels.
|
|
||||||
|
|
||||||
The intrinsic noise on the electronic signal is defined by the Equivalent Noise Charge ($ENC$). The $ENC$ describes noise in terms of the charge at the detector input needed to create the same output at the end of the analog chain and is normally expressed in electrons. For silicon sensors, it can be converted into energy units by considering 1~$e^-$=3.6~eV.
|
|
||||||
The value of the $ENC$ normally depends on the shaping settings of the analog chain and increases with shorter shaping times.
|
|
||||||
The resulting electronic signal spectrum is then given by a convolution between the radiation spectrum and the noise i.e., a Gaussian of standard deviation $ENC$.
|
|
||||||
The S-curve for a monochromatic radiation beam is well described by a Gaussian cumulative distribution $D$ with an additional increase at low threshold due to the baseline noise, as shown by the solid thin line.
|
|
||||||
|
|
||||||
Moreover, when a photon is absorbed in the region between two strips of the sensor, the generated charge is partially collected by the two nearest electronic channels. For this reason the physical S-curve is not flat but can be modeled by a decreasing straight line. The number of shared photons $N_S$ is given by the difference between the number of counts and the number of X-rays whose charge is completely collected by the strip (shown by the dotted line).
|
|
||||||
|
|
||||||
The number of counts in the physical case is equal to that in the ideal case for a threshold set at half the photon energy. This defines the optimal threshold level $E_t=E_0/2$.\\
|
|
||||||
The detector response $N$ as a function of the threshold energy $E_t$ is given by the sum of the noise counts $N_n$ and the counts originating from photons $N_\gamma$:
|
|
||||||
\begin{equation}
|
|
||||||
N_\gamma(E_t)=\frac{N_0}{2}\cdot\Big(1+C_s \frac{E_0-2E_t}{E_0}\Big)D \Big(\frac{E_0-E_t}{ENC} \Big), \label{eq:thrscan}
|
|
||||||
\end{equation}
|
|
||||||
where $C_s$ is the fraction of photons which produce a charge cloud which is shared between neighboring strips ($N_s=C_s N_0$).\\
|
|
||||||
By assuming a noise of Gaussian type, and considering its bandwidth limited by the shaping time $\tau_s$, the number of noise counts in the acquisition time $T$ can be approximated as:
|
|
||||||
\begin{equation}
|
|
||||||
N_n(E_t) \sim \frac{T}{\tau_s} D \Big(\frac{-E_t}{ENC} \Big). \label{eq:noisescan}
|
|
||||||
\end{equation}
|
|
||||||
|
|
||||||
The choice of the comparator threshold level $E_t$ influences not only the counting efficiency and noise performances, but also the spatial resolution and the counting statistics of the detector.
|
|
||||||
If the threshold is set at values higher than the ideal value $E_t=E_0/2$, a fraction of the photons absorbed in the sensor in the region between two strips is not counted thus reducing the detector efficiency but improving its spatial resolution (narrower strip size). On the other hand, if the threshold is set at values lower than $E_t$, part of the X-rays absorbed in the region between two strips are counted by both of them, resulting in a deterioration of the spatial resolution of the detector and of the fluctuations on the number of photons because of the increased multiplicity.
|
|
||||||
|
|
||||||
|
|
||||||
Furthermore, the threshold uniformity is particularly critical with regards to fluorescent radiation emitted by the sample under investigation. Since the emission of fluorescent light is isotropic, the data quality will be improved by setting the threshold high enough in order to discard the fluorescence background (see figure~\ref{fig:thrscanfluo}). \\
|
|
||||||
Moreover, setting the threshold too close to the energy of the fluorescent light gives rise to large fluctuations between channels in the number of counts since the threshold sits on the steepest part of the threshold scan curve for the fluorescent background. These differences cannot be corrected by using a flat-field normalization since the fluorescent component is not present in the reference image. For this reason, it is extremely important that the threshold uniformity over the whole detector is optimized. The threshold level must be set at least $\Sigma>3\,ENC$ away from both the fluorescent energy level and the X-ray energy in order to remove the fluorescence background while efficiently count the diffracted photons.
|
|
||||||
|
|
||||||
The comparator threshold is given by a global level which can be set on a module basis and adds to a component which is individually adjustable for each channel. In order to optimize the uniformity of the detector response it is important to properly adjust the threshold for all channels. \\
|
|
||||||
Since both the signal amplification stages and the comparator are linear, it is necessary to calibrate the detector offset $O$ and gain $G$ in order to correctly set its comparator threshold $V_t$ at the desired energy $E_t$:
|
|
||||||
\begin{equation}
|
|
||||||
V_{t}=O+G \cdot E_t.\label{eq:encal}
|
|
||||||
\end{equation}
|
|
||||||
This is initially performed by acquiring measurements while scanning the global threshold using different X-ray energies and calculating the median of the counts at each threshold value for each module $i$. The curves obtained for one of the detector modules at three energies are shown in figure~\ref{fig:modulecalibration}. The experimental data are then fitted according to equation~\ref{eq:thrscan} and for each module a linear relation is found between the X-ray energy and the estimated inflection point, as shown in the inset of figure~\ref{fig:modulecalibration}. The resulting offset $O_i$ and gain $G_i$ are used as a conversion factor between the threshold level and the energy.
|
|
||||||
|
|
||||||
|
|
||||||
\begin{figure}
|
|
||||||
\caption{Expected counts as a function of a threshold energy for a monochromatic beam of energy $E_0$=12~keV. $N_0$=10000 is the number of photons absorbed by the detector during the acquisition time. The dashed line represents the curve in an ideal case without electronic noise and charge sharing, the solid thin line with noise $ENC$=1~keV but without charge sharing and the solid thick line is the physical case with noise and $CS=$22~\% charge sharing. $N_S$ is the number of photons whose charge is shared between neighbouring strips ($CS=\frac{N_S}{N_0}$). The dotted line represents the number of photons whose charge is completely collected by a single strip.}\label{fig:thrscanexpl}
|
|
||||||
\includegraphics[width=\textwidth]{fig4.eps}
|
|
||||||
\end{figure}
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\begin{figure}
|
|
||||||
\caption{Measured threshold scan at 12.5~keV with the three different settings. In the inset the fit of the experimental data with the expected curve as in function~\ref{eq:thrscan} is shown in the region of the inflection point.} \label{fig:expthrscan}
|
|
||||||
\includegraphics[width=\textwidth]{fig5.eps}
|
|
||||||
\end{figure}
|
|
||||||
|
|
||||||
\begin{figure}
|
|
||||||
\caption{Number of counts as a function of the threshold measured from a sample containing iron ($E_f$=5.9~keV) when using X-rays of energy $E_0$=12~keV. In this case, setting the threshold at $E_0/2$, which is very close to $E_f$, would give $\Delta \sim$10\% counts from the fluorescense background. Therefore the threshold should be set at an intermediate level $E_t$ between the two energy components with a distance of at least $\Sigma>3ENC$ from both $E_f$ and $E_0$.}\label{fig:thrscanfluo}
|
|
||||||
\includegraphics[width=\textwidth]{fig7.eps}
|
|
||||||
\end{figure}
|
|
||||||
Differences in gain and offset are present also between individual channels within a module and therefore the use of threshold equalization techniques (trimming) using the internal 6-bit DAC is needed in order to reduce the threshold dispersion.
|
|
||||||
Since both gain and offset have variations between channels, the optimal trimming should be performed as a function of the threshold energy.
|
|
||||||
Please not that trimming of the channels of the detector should be performed in advanced and is extremely important for a succeful energy calibration of the detector.
|
|
||||||
|
|
||||||
All energy calibration procedures should be applied to a trimmed detector and only an improvement of the existing trimbits can be performed afterwards, since it does not significatively affect the energy calibration.
|
|
||||||
|
|
||||||
|
|
||||||
\begin{figure}
|
|
||||||
\caption{Median of the number of counts as a function of the threshold for X-rays of 12.5, 17.5 and 25~keV for one of the detector modules using \textit{standard} settings. The solid line represents the fit of the experimental points with equation~\ref{eq:thrscan}. In the inset the linear fit between the X-ray energy and the position of the inflection point of the curves is shown.}\label{fig:modulecalibration}
|
|
||||||
\includegraphics[width=\textwidth]{fig8.eps}
|
|
||||||
\end{figure}
|
|
||||||
\newpage
|
|
||||||
|
|
||||||
\section{Data acquisition}
|
|
||||||
|
|
||||||
The energy calibration consists in acquiring threshold scans using the detector at at least 2 (better 3) energies. A monochromatic beam is ideal in this procedure, but beam obtained from some fluorescent sample is also good.\\
|
|
||||||
Please note that the statistic is important to succesfully analyze the data. Normally the exposure time for each step should be chosen in order to achieve at least 1000 counts per step.
|
|
||||||
If this is not possible it is better to reduce the scan range or enlarge the scan step rather than acquiring data with a too low statics.
|
|
||||||
|
|
||||||
With a quick acquisition or threshold scan it is useful to define the range of the scan and the exposure time. It is important to start from a threshold high enough that (almost) all channels of the detector have a negligible number of counts and that the plateau of the S-curve is long enough to correctly estimate the number of photons.
|
|
||||||
|
|
||||||
\subsection{Software}
|
|
||||||
|
|
||||||
For the acquisition ot the data you need to install the slsDetector software package (please refere to separate documentation). The use of the GUI is optional and all operations can be performed also using the text client.\\
|
|
||||||
|
|
||||||
In the following the command to acquire a dataset for the energy calibration with an exposure time of 1~s, and threshold scan range between 200 and 850 with a setp of 1 DAC unit.
|
|
||||||
\begin{verbatim}
|
|
||||||
> sls_detector_put encallog 1 #setup energy calibration
|
|
||||||
> sls_detector_put exptime 1. #set exposure time to 1s
|
|
||||||
> sls_detector_put scan0script threshold #setup threshold scan
|
|
||||||
> sls_detector_put scan0range 200 850 1 #set scan range between 200 and 850, step of 1
|
|
||||||
> sls_detector_acquire #acquire the data
|
|
||||||
> sls_detector_put encallog 0 #unset energy calibration
|
|
||||||
\end{verbatim}
|
|
||||||
|
|
||||||
With the GUI you can obtain the same results by clicking on the \textit{Energy Calibration} log button in the advanced tab (see figure~\ref{fig:guiencallog}) and setting up the threshold scan in the Actions tab (see figure~\ref{fig:guithrscan}). the exposure time should also be set in the measurement tab.
|
|
||||||
|
|
||||||
|
|
||||||
This procedure should be executed at at least 2 (better 3) energies.
|
|
||||||
|
|
||||||
Additional to the data files, the acquisition will produce a .encal file containing an header and, for each step of the acquisition, the threshold value and the file name. \\
|
|
||||||
In case you forgot to enable the encallog flag in the software, you can produce the file with the syntax as follows:
|
|
||||||
\begin{verbatim}
|
|
||||||
settings standard
|
|
||||||
type Mythen+
|
|
||||||
nmod 12
|
|
||||||
modulenumber:0 000
|
|
||||||
modulenumber:1 111
|
|
||||||
modulenumber:2 222
|
|
||||||
modulenumber:3 333
|
|
||||||
modulenumber:4 444
|
|
||||||
modulenumber:5 555
|
|
||||||
modulenumber:6 666
|
|
||||||
modulenumber:7 777
|
|
||||||
modulenumber:8 888
|
|
||||||
modulenumber:9 999
|
|
||||||
modulenumber:10 aaa
|
|
||||||
modulenumber:11 bbb
|
|
||||||
450 standard_12_4keV_S450_0
|
|
||||||
460 standard_12_4keV_S460_0
|
|
||||||
470 standard_12_4keV_S470_0
|
|
||||||
480 standard_12_4keV_S480_0
|
|
||||||
490 standard_12_4keV_S490_0
|
|
||||||
500 standard_12_4keV_S500_0
|
|
||||||
510 standard_12_4keV_S510_0
|
|
||||||
520 standard_12_4keV_S520_0
|
|
||||||
...
|
|
||||||
...
|
|
||||||
\end{verbatim}
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\begin{figure}
|
|
||||||
\caption{Acquisition GUI window to enable the energy calibration log.} \label{fig:guiencallog}
|
|
||||||
\includegraphics[width=\textwidth]{GUI_Advanced.eps}
|
|
||||||
\end{figure}
|
|
||||||
|
|
||||||
\begin{figure}
|
|
||||||
\caption{Acquisition GUI window to setup the threshold scan.} \label{fig:guithrscan}
|
|
||||||
\includegraphics[width=\textwidth]{GUI_ThresholdScan.eps}
|
|
||||||
\end{figure}
|
|
||||||
\newpage
|
|
||||||
|
|
||||||
\section{Data analysis}
|
|
||||||
|
|
||||||
The data analysis consists in fitting the S-curves obtained from the datasets acquired as above and then performing a linear fit between the energy values and the inflection points.
|
|
||||||
|
|
||||||
\subsection{Software}
|
|
||||||
|
|
||||||
The software used for the energy calibration data analysis is based on root (see http://root.cern.ch).\\
|
|
||||||
This can be downloaded as binary or installed from sources. The version of the software should not play an important role, but up to now everything has been implemented and tested using version 5.20.
|
|
||||||
|
|
||||||
To start the data analysis simply launch:
|
|
||||||
\begin{verbatim}
|
|
||||||
> ./energyCalibrationWizard
|
|
||||||
\end{verbatim}
|
|
||||||
|
|
||||||
To add anew energy write the energy value and select (or digit) the name of the .encal file corresponding to that energy (see figure~\ref{fig:addenergy}).\\
|
|
||||||
The software assumes that the data files (.raw) and the .encal file are in the same directory.
|
|
||||||
Press \textit{Preview} and a 2D color plot will be displayed, showing the channel numbers on the X-axis, the threshold on the Y-axis, and the number of counts as a color scale.
|
|
||||||
By (right) clicking close to the axis you are able to zoom in/out, set the scale to logarithmic etc.\\
|
|
||||||
If the plot corresponds to your expectations press \textit{Add to list}. The energy value will be shown in the combo box on top and labels will display the settings of the detector, the number of modules, the number of channels per module and the modules serial numbers.
|
|
||||||
|
|
||||||
Add then all the other energies to the calibration always by editing the energy value and .encal file name, pressing \textit{preview} and \textit{add to list}.\\
|
|
||||||
If the settings, number of modules or serial numbers do not match, you will not be llowed to add the energy.\\
|
|
||||||
By using the \textit{selected energy actions} you can navigate in the combo box with list of energies, view the plots and eventually remove the ones you don't want to use in your calibration.\\
|
|
||||||
Once you have uploaded at least 2 energies, you will be allowed to \textit{proceed to module calibration}.
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\begin{figure}
|
|
||||||
\caption{Window to add energies to the calibration.} \label{fig:addenergy}
|
|
||||||
\includegraphics[width=\textwidth]{addEnergy.eps}
|
|
||||||
\end{figure}
|
|
||||||
|
|
||||||
In the module calibration window (see figure~\ref{fig:calibratemodule}), you are still able to look at the calibration summary, and eventually return to the previous windown by pressing \textit{Back to energy setup}.\\
|
|
||||||
The canvas will show the plot of the S-curves relative to the median of the selected module, fitted with equation~\ref{eq:thrscan} and the linear fit between the energy values and the fitted inflection points.
|
|
||||||
Normally the points lie on a straight line (although often not perfect), therefore it should be simple to spot if there are problems in the fitting of some of the data.\\
|
|
||||||
If \textit{Manual save} is unclicked, the calibration files will be saved locally, with the extension automatically generated by using the modules serial numbers, every time a linear fit is performed (i.e. if you mess up wiht the linear fit you overwrite a previous good file!). If you click the checkbox, you need to save the calibration by pressing \textit{Write to file} for each module once you are happy with the fit.
|
|
||||||
|
|
||||||
To change the Y scale of the plot, edit the \textit{Counts} entry. After clicking of the energy button (eventually twice) the maximum of the histogram will be set to three times the value.
|
|
||||||
|
|
||||||
To re-fit one energy with modified range or start parameters, you should press the central button with the energy value once the energy is selected. The text color tells you which curve you are referring to.\\
|
|
||||||
|
|
||||||
You should set the range of the fit. In particular the maximum should be limited in order to avoid to enter the noise range (and can be pretty different for the various modules).\\
|
|
||||||
Normally the data are acquired by collecting holes from the detector and therefore the \textit{Invert axis} check button should be ckecked. Uncheck it in case your detector collects electrons (e.g. CdTe, Si n in p)
|
|
||||||
|
|
||||||
You can change the start values of the parameters of the fits by editing the number eneries. The label nearby will show you the actual value of the fitted parameters.\\
|
|
||||||
By checking the checkboxes you can fix the values to the ones you specify.\\
|
|
||||||
Normally it can be useful to fix the pedestal and pedestal slope to 0, unless you have a lot of 3rd armnonics contribution, primary beam background or similar.\\
|
|
||||||
Changing the starting value of the inflection point or of the number of counts can often help the fit to converge.\\
|
|
||||||
Normally it is not very useful to change the starting value for the noise or charge sharing slope.
|
|
||||||
|
|
||||||
The button \textit{Finished} will be enebled only once the calibration files have been generated for all modules.
|
|
||||||
|
|
||||||
|
|
||||||
\begin{figure}
|
|
||||||
\caption{Window to calibrate the modules.} \label{fig:calibratemodule}
|
|
||||||
\includegraphics[width=\textwidth]{calibrateModule.eps}
|
|
||||||
\end{figure}
|
|
||||||
\newpage
|
|
||||||
|
|
||||||
|
|
||||||
\section{Setup calibration files}
|
|
||||||
|
|
||||||
To use the genrated calibration files as default ones, copy them into your default \textit{caldir/settings} renaming them calibration.snxxx, where snxxx is the extension that the genrated files already have, which corresponds to the module serial number.\\
|
|
||||||
Fot this scope, a script as following can be used:
|
|
||||||
\begin{verbatim}
|
|
||||||
for i in $(ls newcal_standard.sn* | awk -F "." '{print $2}'); do \
|
|
||||||
mv newcal_standard.$i caldir/standard/calibration.$i; \
|
|
||||||
done
|
|
||||||
\end{verbatim}
|
|
||||||
|
|
||||||
By reloading the default detector settings, the calibration coefficients will be automatically loaded.
|
|
||||||
File diff suppressed because it is too large
Load Diff
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|
Before Width: | Height: | Size: 70 KiB |
@ -1,16 +0,0 @@
|
|||||||
\documentclass{article}
|
|
||||||
\usepackage{amssymb}
|
|
||||||
\usepackage[dvips]{graphicx}
|
|
||||||
\usepackage{verbatim}
|
|
||||||
\begin{document}
|
|
||||||
|
|
||||||
\title{Energy calibration wizard manual}
|
|
||||||
\author{Anna Bergamaschi}
|
|
||||||
\date{\today}
|
|
||||||
\maketitle
|
|
||||||
|
|
||||||
|
|
||||||
\section{Introduction}
|
|
||||||
\input{enCal.tex}
|
|
||||||
\end{document}
|
|
||||||
|
|
||||||
@ -1,135 +0,0 @@
|
|||||||
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|
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|
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|
||||||
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|
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|
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||||||
def /w2 {w 2 div} def /w3 {w 3 div} def 539 2040 548 1949 556 1891 565 1845 573 1812 582 1788 590 1767 599 1757 607 1741 616 1732 624 1722 633 1712 641 1704 650 1700 658 1685 667 1678 675 1671 683 1663 692 1659 700 1652 709 1642 717 1636 726 1631
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||||||
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||||||
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|
||||||
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||||||
1370 1092 50 { m2} R 1370 1092 1379 1088 1387 1085 1396 1079 1404 1073 1413 1064 1421 1063 1430 1058 1438 1054 1446 1053 1455 1048 1463 1043 1472 1038 1480 1034 1489 1032 1497 1026 1506 1020 1514 1018 1523 1009 1531 1007 1540 998 1548 994 1557 989
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||||||
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||||||
m2} R 1786 619 1794 597 1803 579 1811 558 1819 536 1828 518 1836 500 1845 483 1853 467 1862 453 1870 438 1879 426 1887 415 1896 404 1904 394 1913 386 1921 378 1930 372 1938 367 1947 362 1955 359 1964 356 1972 352 1981 350 1989 348 1997 347 2006 345
|
|
||||||
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993 Y s 1429 338 m 720 Y s 1789 338 m 281 Y s[ 12 16 4 16] 0 sd 347 1331 m 721 X s 347 1256 m 721 X s
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-32 18 d 32 18 d s
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gsave 2268 2256 0 0 C 609 1269 t 0 r /Symbol findfont 84.6163 sf 0 0 m (D) show NC gr
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gr gr
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||||||
showpage
|
|
||||||
end
|
|
||||||
%%EOF
|
|
||||||
@ -1,146 +0,0 @@
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|||||||
%!PS-Adobe-2.0 EPSF-2.0
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%%Creator: ROOT Version 5.20/00
|
|
||||||
%%CreationDate: Tue Feb 24 16:20:36 2009
|
|
||||||
%%EndComments
|
|
||||||
%%BeginProlog
|
|
||||||
80 dict begin
|
|
||||||
/s {stroke} def /l {lineto} def /m {moveto} def /t {translate} def
|
|
||||||
/sw {stringwidth} def /r {rotate} def /rl {roll} def /R {repeat} def
|
|
||||||
/d {rlineto} def /rm {rmoveto} def /gr {grestore} def /f {eofill} def
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/c {setrgbcolor} def /black {0 setgray} def /sd {setdash} def
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|
||||||
/cl {closepath} def /sf {scalefont setfont} def /lw {setlinewidth} def
|
|
||||||
/box {m dup 0 exch d exch 0 d 0 exch neg d cl} def
|
|
||||||
/NC{systemdict begin initclip end}def/C{NC box clip newpath}def
|
|
||||||
/bl {box s} def /bf {box f} def /Y { 0 exch d} def /X { 0 d} def
|
|
||||||
/mp {newpath /y exch def /x exch def} def
|
|
||||||
/side {[w .77 mul w .23 mul] .385 w mul sd w 0 l currentpoint t -144 r} def
|
|
||||||
/mr {mp x y w2 0 360 arc} def /m24 {mr s} def /m20 {mr f} def
|
|
||||||
/mb {mp x y w2 add m w2 neg 0 d 0 w neg d w 0 d 0 w d cl} def
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|
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/mt {mp x y w2 add m w2 neg w neg d w 0 d cl} def
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||||||
/m21 {mb f} def /m25 {mb s} def /m22 {mt f} def /m26{mt s} def
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/m23 {mp x y w2 sub m w2 w d w neg 0 d cl f} def
|
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/m27 {mp x y w2 add m w3 neg w2 neg d w3 w2 neg d w3 w2 d cl s} def
|
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||||||
/m28 {mp x w2 sub y w2 sub w3 add m w3 0 d 0 w3 neg d w3 0 d 0 w3 d w3 0 d 0 w3 d w3 neg 0 d 0 w3 d w3 neg 0 d
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|
||||||
0 w3 neg d w3 neg 0 d cl s } def
|
|
||||||
/m29 {mp gsave x w2 sub y w2 add w3 sub m currentpoint t
|
|
||||||
4 {side} repeat cl fill gr} def
|
|
||||||
/m30 {mp gsave x w2 sub y w2 add w3 sub m currentpoint t
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4 {side} repeat cl s gr} def
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/m31 {mp x y w2 sub m 0 w d x w2 sub y m w 0 d x w2 sub y w2 add m w w neg d x w2 sub y w2
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|
||||||
sub m w w d s} def
|
|
||||||
/m2 {mp x y w2 sub m 0 w d x w2 sub y m w 0 d s} def
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||||||
/m5 {mp x w2 sub y w2 sub m w w d x w2 sub y w2 add m w w neg d s} def
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|
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/reEncode {exch findfont dup length dict begin {1 index /FID eq {pop pop} {def} ifelse } forall /Encoding exch def currentdict end dup /FontName get exch definefont pop } def [/Times-Bold /Times-Italic /Times-BoldItalic /Helvetica
|
|
||||||
/Helvetica-Oblique /Helvetica-Bold /Helvetica-BoldOblique /Courier /Courier-Oblique /Courier-Bold /Courier-BoldOblique /Times-Roman /AvantGarde-Book /AvantGarde-BookOblique /AvantGarde-Demi /AvantGarde-DemiOblique /Bookman-Demi
|
|
||||||
/Bookman-DemiItalic /Bookman-Light /Bookman-LightItalic /Helvetica-Narrow /Helvetica-Narrow-Bold /Helvetica-Narrow-BoldOblique /Helvetica-Narrow-Oblique /NewCenturySchlbk-Roman /NewCenturySchlbk-Bold
|
|
||||||
/NewCenturySchlbk-BoldItalic /NewCenturySchlbk-Italic /Palatino-Bold /Palatino-BoldItalic /Palatino-Italic /Palatino-Roman ] {ISOLatin1Encoding reEncode } forall
|
|
||||||
/oshow {gsave [] 0 sd true charpath stroke gr} def
|
|
||||||
/stwn { /fs exch def /fn exch def /text exch def fn findfont fs sf
|
|
||||||
text sw pop xs add /xs exch def} def
|
|
||||||
/stwb { /fs exch def /fn exch def /nbas exch def /textf exch deftextf length /tlen exch def nbas tlen gt {/nbas tlendef} iffn findfont fs sf textf dup length nbas sub nbas getinterval sw
|
|
||||||
pop neg xs add /xs exch def} def
|
|
||||||
%%EndProlog
|
|
||||||
%%BeginSetup
|
|
||||||
%%EndSetup
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|
||||||
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340 330 m 1814 X s
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|
|
||||||
-26 Y s 755 356 m -26 Y s 807 356 m -26 Y s 858 383 m -53 Y s 910 356 m -26 Y s 962 356 m -26 Y s 1014 356 m -26 Y s 1066 356 m -26 Y s 1118 383 m -53 Y s 1169 356 m -26 Y s 1221 356 m -26 Y s 1273 356 m -26 Y s 1325 356 m -26 Y s 1377 383 m -53 Y
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||||||
s 1429 356 m -26 Y s 1480 356 m -26 Y s 1532 356 m -26 Y s 1584 356 m -26 Y s 1636 383 m -53 Y s 1688 356 m -26 Y s 1740 356 m -26 Y s 1791 356 m -26 Y s 1843 356 m -26 Y s 1895 383 m -53 Y s 1947 356 m -26 Y s 1999 356 m -26 Y s 2051 356 m -26 Y s
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2102 356 m -26 Y s 2154 383 m -53 Y s
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|
|
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|
|
||||||
330 915 330 920 330 926 330 931 330 936 330 941 330 946 330 951 330 957 330 962 330 967 330 972 330 977 330 982 330 988 330 993 330 998 330 1003 330 1008 330 1013 330 1019 330 1024 330 1029 330 1034 330 1039 330 1044 330 1050 330 1055 330 1060 330
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|
||||||
1065 330 1070 330 1075 330 1081 330 1086 330 1091 330 1096 330 1101 330 1106 330 1112 330 50 { m26} R 1112 330 1117 330 1122 330 1127 330 1132 330 1137 330 1143 330 1148 330 1153 330 1158 330 1163 330 1168 330 1174 330 1179 330 1184 330 1189 330
|
|
||||||
1194 330 1199 330 1205 330 1210 330 1215 330 1220 330 1225 331 1230 331 1236 331 1241 331 1246 331 1251 331 1256 331 1261 331 1267 331 1272 331 1277 331 1282 331 1287 331 1292 331 1298 332 1303 332 1308 332 1313 333 1318 334 1323 335 1329 336 1334
|
|
||||||
338 1339 340 1344 343 1349 346 1354 349 1360 354 1365 360 50 { m26} R 1365 360 1370 366 1375 374 1380 383 1385 393 1391 405 1396 418 1401 433 1406 448 1411 464 1416 483 1422 501 1427 524 1432 545 1437 568 1442 591 1447 613 1453 635 1458 661 1463
|
|
||||||
685 1468 706 1473 728 1478 751 1484 771 1489 790 1494 810 1499 827 1504 844 1509 859 1515 874 1520 887 1525 900 1530 911 1535 922 1540 932 1546 943 1551 951 1556 960 1561 969 1566 977 1571 985 1577 991 1582 998 1587 1004 1592 1010 1597 1016 1602
|
|
||||||
1022 1608 1028 1613 1034 1618 1038 50 { m26} R 1618 1038 1623 1044 1628 1048 1633 1054 1639 1059 1644 1063 1649 1068 1654 1072 1659 1078 1664 1082 1670 1086 1675 1092 1680 1096 1685 1102 1690 1106 1695 1110 1701 1115 1706 1118 1711 1124 1716 1128
|
|
||||||
1721 1133 1726 1137 1732 1141 1737 1145 1742 1149 1747 1153 1752 1160 1757 1162 1763 1167 1768 1169 1773 1173 1778 1177 1783 1182 1788 1186 1794 1190 1799 1195 1804 1199 1809 1202 1814 1206 1819 1210 1825 1215 1830 1217 1835 1222 1840 1226 1845
|
|
||||||
1231 1850 1235 1856 1238 1861 1243 1866 1249 1871 1251 50 { m26} R 1871 1251 1876 1256 1881 1259 1887 1263 1892 1267 1897 1272 1902 1277 1907 1279 1912 1285 1918 1290 1923 1292 1928 1298 1933 1302 1938 1305 1943 1312 1949 1316 1954 1320 1959 1325
|
|
||||||
1964 1330 1969 1333 1974 1338 1980 1345 1985 1351 1990 1357 1995 1363 2000 1372 2005 1384 2011 1397 2016 1419 2021 1441 2026 1473 2031 1519 2036 1584 2042 1680 2047 1822 2052 2020 2057 2089 37 { m26} R 2150 2089 m26 9 lw 0.95 0.95 0.95 c black 782
|
|
||||||
330 m 434 X 16 1 d 48 X 16 1 d 16 1 d 16 4 d 16 7 d 17 12 d 16 21 d 16 32 d 16 45 d 16 58 d 16 68 d 16 73 d 16 74 d 16 68 d 16 58 d 16 47 d 16 37 d 16 28 d 16 22 d s 1569 987 m 16 18 d 17 16 d 16 14 d 16 15 d 16 14 d 16 13 d 16 14 d 16 14 d 16 14 d
|
|
||||||
16 14 d 16 14 d 16 14 d 16 13 d 16 14 d 16 14 d 16 14 d 17 14 d 16 14 d 16 13 d 16 14 d 16 14 d 16 14 d 16 14 d s[ 12 12] 0 sd 3 lw 1447 330 m 283 Y s[ ] 0 sd 1447 613 m20[ 12 12] 0 sd[ ] 0 sd 1 1 1 c black 864 330 889 330 900 330 905 330 910 330
|
|
||||||
915 330 920 330 926 330 931 330 936 330 941 330 946 330 951 330 957 330 962 330 967 330 972 331 977 331 982 331 988 331 993 331 998 332 1003 333 1008 333 1013 335 1019 336 1024 338 1029 340 1034 342 1039 345 1044 349 1050 353 1055 359 1060 366 1065
|
|
||||||
373 1070 382 1075 391 1081 402 1086 413 1091 428 1096 442 1101 456 1106 474 1112 493 1117 511 1122 532 1127 552 1132 571 1137 593 1143 614 50 { m27} R 1143 614 1148 634 1153 659 1158 677 1163 697 1168 717 1174 738 1179 757 1184 773 1189 788 1194
|
|
||||||
802 1199 820 1205 830 1210 842 1215 856 1220 870 1225 879 1230 888 1236 896 1241 904 1246 909 1251 918 1256 924 1261 930 1267 936 1272 942 1277 950 1282 955 1287 963 1292 968 1298 972 1303 974 1308 979 1313 985 1318 987 1323 991 1329 995 1334 1000
|
|
||||||
1339 1004 1344 1011 1349 1012 1354 1016 1360 1020 1365 1024 1370 1026 1375 1032 1380 1038 1385 1040 1391 1045 1396 1046 50 { m27} R 1396 1046 1401 1051 1406 1053 1411 1056 1416 1055 1422 1058 1427 1063 1432 1067 1437 1073 1442 1073 1447 1080 1453
|
|
||||||
1083 1458 1084 1463 1090 1468 1095 1473 1098 1478 1099 1484 1104 1489 1111 1494 1113 1499 1118 1504 1118 1509 1122 1515 1123 1520 1126 1525 1129 1530 1133 1535 1136 1540 1138 1546 1140 1551 1142 1556 1149 1561 1150 1566 1152 1571 1157 1577 1161
|
|
||||||
1582 1161 1587 1164 1592 1169 1597 1172 1602 1174 1608 1176 1613 1178 1618 1180 1623 1183 1628 1184 1633 1190 1639 1190 1644 1195 1649 1196 50 { m27} R 1649 1196 1654 1196 1659 1205 1664 1206 1670 1210 1675 1214 1680 1217 1685 1222 1690 1221 1695
|
|
||||||
1225 1701 1228 1706 1234 1711 1236 1716 1240 1721 1242 1726 1242 1732 1247 1737 1250 1742 1252 1747 1256 1752 1256 1757 1258 1763 1267 1768 1268 1773 1270 1778 1276 1783 1277 1788 1275 1794 1282 1799 1286 1804 1287 1809 1285 1814 1289 1819 1297
|
|
||||||
1825 1299 1830 1302 1835 1306 1840 1311 1845 1311 1850 1309 1856 1313 1861 1319 1866 1321 1871 1321 1876 1322 1881 1327 1887 1328 1892 1331 1897 1337 1902 1343 50 { m27} R 1902 1343 1907 1350 1912 1351 1918 1354 1923 1362 1928 1359 1933 1365 1938
|
|
||||||
1366 1943 1371 1949 1370 1954 1377 1959 1382 1964 1384 1969 1389 1974 1392 1980 1401 1985 1401 1990 1412 1995 1417 2000 1432 2005 1448 2011 1465 2016 1491 2021 1535 2026 1589 2031 1673 2036 1806 2042 2003 2047 2089 29 { m27} R 2150 2089 m27 9 lw
|
|
||||||
0.95 0.95 0.95 c black 348 330 m 601 X 16 1 d 15 X 16 1 d 16 3 d 16 5 d 16 10 d 15 16 d 16 24 d 16 35 d 16 46 d 16 57 d s 1123 528 m 16 64 d 15 67 d 16 66 d 16 59 d 16 51 d 16 40 d 15 32 d 16 24 d 16 18 d 16 14 d 16 12 d 15 11 d 16 10 d 16 10 d 16
|
|
||||||
10 d 16 10 d 15 10 d 16 10 d 16 9 d 16 10 d 16 10 d 16 10 d 15 10 d 16 10 d 16 9 d 16 10 d 16 10 d 15 10 d 16 10 d 16 9 d 16 10 d 16 10 d 15 10 d 16 10 d 16 9 d 16 10 d 16 10 d 15 10 d 16 10 d 16 10 d 16 9 d 16 10 d 16 10 d 15 10 d 16 10 d 16 9 d
|
|
||||||
16 10 d 16 10 d 15 10 d s 1897 1350 m 16 10 d s[ 12 12] 0 sd 3 lw 1140 330 m 284 Y s[ ] 0 sd 1140 614 m20[ 12 12] 0 sd[ ] 0 sd 1 1 1 c black 516 331 521 331 526 331 531 331 537 332 542 332 547 334 552 334 557 335 562 336 568 339 573 341 578 343
|
|
||||||
583 347 588 351 594 356 599 361 604 367 609 374 614 383 619 391 625 400 630 411 635 423 640 439 645 450 650 465 656 482 661 498 666 516 671 537 676 550 681 569 687 591 692 608 697 628 702 645 707 663 712 681 718 698 723 711 728 727 733 743 738 757
|
|
||||||
743 769 749 784 754 795 759 807 764 817 769 826 50 { m28} R 769 826 774 837 780 843 785 854 790 863 795 870 800 875 805 881 811 887 816 896 821 903 826 903 831 912 837 914 842 920 847 924 852 928 857 933 862 936 868 941 873 946 878 948 883 952 888
|
|
||||||
956 893 961 899 964 904 968 909 970 914 972 919 973 924 977 930 981 935 987 940 992 945 994 950 998 955 999 961 1002 966 1004 971 1009 976 1008 981 1009 986 1012 992 1016 997 1020 1002 1025 1007 1029 1012 1034 1017 1035 1023 1037 50 { m28} R 1023
|
|
||||||
1037 1028 1037 1033 1044 1038 1042 1043 1048 1048 1057 1054 1060 1059 1064 1064 1068 1069 1067 1074 1066 1080 1067 1085 1071 1090 1071 1095 1073 1100 1074 1105 1079 1111 1080 1116 1080 1121 1085 1126 1087 1131 1092 1136 1094 1142 1095 1147 1098
|
|
||||||
1152 1099 1157 1100 1162 1106 1167 1106 1173 1111 1178 1111 1183 1115 1188 1117 1193 1119 1198 1119 1204 1120 1209 1122 1214 1122 1219 1128 1224 1128 1229 1128 1235 1132 1240 1136 1245 1140 1250 1142 1255 1142 1260 1148 1266 1149 1271 1151 1276
|
|
||||||
1149 50 { m28} R 1276 1149 1281 1154 1286 1154 1292 1153 1297 1160 1302 1159 1307 1162 1312 1163 1317 1164 1323 1169 1328 1168 1333 1170 1338 1175 1343 1174 1348 1180 1354 1178 1359 1178 1364 1179 1369 1181 1374 1183 1379 1186 1385 1189 1390 1190
|
|
||||||
1395 1197 1400 1199 1405 1201 1410 1201 1416 1200 1421 1202 1426 1207 1431 1207 1436 1212 1441 1212 1447 1210 1452 1213 1457 1217 1462 1217 1467 1222 1472 1224 1478 1226 1483 1229 1488 1234 1493 1232 1498 1234 1503 1233 1509 1237 1514 1239 1519
|
|
||||||
1240 1524 1242 1529 1245 50 { m28} R 1529 1245 1535 1250 1540 1253 1545 1255 1550 1261 1555 1266 1560 1267 1566 1270 1571 1272 1576 1276 1581 1275 1586 1276 1591 1276 1597 1279 1602 1283 1607 1282 1612 1286 1617 1292 1622 1295 1628 1295 1633 1296
|
|
||||||
1638 1297 1643 1297 1648 1292 1653 1297 1659 1296 1664 1303 1669 1304 1674 1303 1679 1304 1684 1302 1690 1308 1695 1307 1700 1313 1705 1320 1710 1320 1715 1314 1721 1313 1726 1322 1731 1328 1736 1329 1741 1338 1747 1338 1752 1340 1757 1341 1762
|
|
||||||
1341 1767 1343 1772 1343 1778 1343 1783 1347 50 { m28} R 1783 1347 1788 1355 1793 1354 1798 1365 1803 1362 1809 1370 1814 1372 1819 1367 1824 1376 1829 1377 1834 1382 1840 1379 1845 1384 1850 1386 1855 1386 1860 1392 1865 1399 1871 1399 1876 1400
|
|
||||||
1881 1403 1886 1407 1891 1411 1896 1416 1902 1416 1907 1419 1912 1425 1917 1429 1922 1431 1927 1437 1933 1440 1938 1442 1943 1441 1948 1446 1953 1447 1958 1448 1964 1457 1969 1464 1974 1470 1979 1483 1984 1493 1990 1507 1995 1520 2000 1537 2005
|
|
||||||
1565 2010 1602 2015 1665 2021 1761 2026 1901 2031 2089 49 { m28} R 2150 2089 m28 9 lw 0.95 0.95 0.95 c black 348 330 m 155 X 16 1 d 16 1 d 15 3 d 16 5 d 15 8 d 16 12 d 15 19 d 16 26 d 15 35 d 16 44 d 15 51 d 16 56 d 16 59 d 15 57 d 16 53 d 15 46 d
|
|
||||||
16 39 d 15 31 d 16 24 d 15 18 d 16 14 d 16 11 d 15 9 d 16 8 d 15 7 d 16 8 d 15 7 d 16 7 d 15 6 d 16 7 d 15 7 d 16 7 d 16 7 d 15 7 d 16 7 d 15 7 d 16 7 d 15 6 d 16 7 d s 1110 1064 m 15 7 d 16 7 d 16 7 d 15 7 d 16 7 d 15 7 d 16 7 d 15 7 d 16 6 d 15 7
|
|
||||||
d 16 7 d 15 7 d 16 7 d 16 7 d 15 7 d 16 7 d 15 7 d 16 6 d 15 7 d 16 7 d 15 7 d 16 7 d 16 7 d 15 7 d 16 7 d 15 7 d 16 6 d 15 7 d 16 7 d 15 7 d 16 7 d 15 7 d 16 7 d 16 7 d 15 7 d 16 7 d 15 6 d 16 7 d 15 7 d 16 7 d 15 7 d 16 7 d 16 7 d 15 7 d 16 7 d
|
|
||||||
15 6 d 16 7 d 15 7 d 16 7 d s 1872 1402 m 15 7 d s[ 12 12] 0 sd 3 lw 693 330 m 278 Y s[ ] 0 sd 693 608 m20[ 12 12] 0 sd[ ] 0 sd 6 lw 1 1 1 c 1088 725 386 1320 bf black 3 lw 1 1 1 c 947 631 516 1407 bf black 947 631 516 1407 bl 1 1 1 c 947 631 516
|
|
||||||
1407 bf black 947 631 516 1407 bl 6 lw 516 1407 m 947 X s
|
|
||||||
gsave 1088 725 386 1320 C 1131 1336 t 0 r /Helvetica-Bold findfont 54.2909 sf 0 0 m (Energy \(keV\)) show NC gr 525 1426 m -19 Y s 553 1416 m -9 Y s 581 1416 m -9 Y s 609 1416 m -9 Y s 638 1426 m -19 Y s 666 1416 m -9 Y s 694 1416 m -9 Y s 722
|
|
||||||
1416 m -9 Y s 750 1426 m -19 Y s 779 1416 m -9 Y s 807 1416 m -9 Y s 835 1416 m -9 Y s 863 1426 m -19 Y s 891 1416 m -9 Y s 920 1416 m -9 Y s 948 1416 m -9 Y s 976 1426 m -19 Y s 1004 1416 m -9 Y s 1032 1416 m -9 Y s 1061 1416 m -9 Y s 1089 1426 m
|
|
||||||
-19 Y s 1117 1416 m -9 Y s 1145 1416 m -9 Y s 1173 1416 m -9 Y s 1202 1426 m -19 Y s 1230 1416 m -9 Y s 1258 1416 m -9 Y s 1286 1416 m -9 Y s 1314 1426 m -19 Y s 1343 1416 m -9 Y s 1371 1416 m -9 Y s 1399 1416 m -9 Y s 1427 1426 m -19 Y s 525 1426
|
|
||||||
m -19 Y s 1427 1426 m -19 Y s 1455 1416 m -9 Y s
|
|
||||||
gsave 1088 725 386 1320 C 510 1382 t 0 r /Helvetica-Bold findfont 25.7167 sf 0 0 m (10) show NC gr
|
|
||||||
gsave 1088 725 386 1320 C 621 1382 t 0 r /Helvetica-Bold findfont 25.7167 sf 0 0 m (12) show NC gr
|
|
||||||
gsave 1088 725 386 1320 C 735 1382 t 0 r /Helvetica-Bold findfont 25.7167 sf 0 0 m (14) show NC gr
|
|
||||||
gsave 1088 725 386 1320 C 846 1382 t 0 r /Helvetica-Bold findfont 25.7167 sf 0 0 m (16) show NC gr
|
|
||||||
gsave 1088 725 386 1320 C 960 1382 t 0 r /Helvetica-Bold findfont 25.7167 sf 0 0 m (18) show NC gr
|
|
||||||
gsave 1088 725 386 1320 C 1074 1382 t 0 r /Helvetica-Bold findfont 25.7167 sf 0 0 m (20) show NC gr
|
|
||||||
gsave 1088 725 386 1320 C 1185 1382 t 0 r /Helvetica-Bold findfont 25.7167 sf 0 0 m (22) show NC gr
|
|
||||||
gsave 1088 725 386 1320 C 1299 1382 t 0 r /Helvetica-Bold findfont 25.7167 sf 0 0 m (24) show NC gr
|
|
||||||
gsave 1088 725 386 1320 C 1410 1382 t 0 r /Helvetica-Bold findfont 25.7167 sf 0 0 m (26) show NC gr 516 1407 m 631 Y s
|
|
||||||
gsave 1088 725 386 1320 C 447 1578 t 90 r /Helvetica-Bold findfont 54.2909 sf 0 0 m (Threshold \(DACu\)) show NC gr 545 1411 m -29 X s 530 1438 m -14 X s 530 1465 m -14 X s 530 1493 m -14 X s 530 1520 m -14 X s 545 1548 m -29 X s 530 1575 m -14 X
|
|
||||||
s 530 1602 m -14 X s 530 1630 m -14 X s 530 1657 m -14 X s 545 1685 m -29 X s 530 1712 m -14 X s 530 1740 m -14 X s 530 1767 m -14 X s 530 1794 m -14 X s 545 1822 m -29 X s 530 1849 m -14 X s 530 1877 m -14 X s 530 1904 m -14 X s 530 1931 m -14 X s
|
|
||||||
545 1959 m -29 X s 545 1411 m -29 X s 545 1959 m -29 X s 530 1986 m -14 X s 530 2014 m -14 X s
|
|
||||||
gsave 1088 725 386 1320 C 467 1402 t 0 r /Helvetica-Bold findfont 25.7167 sf 0 0 m (450) show NC gr
|
|
||||||
gsave 1088 725 386 1320 C 467 1538 t 0 r /Helvetica-Bold findfont 25.7167 sf 0 0 m (500) show NC gr
|
|
||||||
gsave 1088 725 386 1320 C 467 1675 t 0 r /Helvetica-Bold findfont 25.7167 sf 0 0 m (550) show NC gr
|
|
||||||
gsave 1088 725 386 1320 C 467 1812 t 0 r /Helvetica-Bold findfont 25.7167 sf 0 0 m (600) show NC gr
|
|
||||||
gsave 1088 725 386 1320 C 467 1949 t 0 r /Helvetica-Bold findfont 25.7167 sf 0 0 m (650) show NC gr 3 lw 666 1859 948 1697 1371 1460 3 { m20} R 6 lw 9 lw 0.95 0.95 0.95 c black 668 1856 m 7 -4 d 7 -4 d 7 -4 d 7 -4 d 8 -4 d 7 -4 d 7 -4 d 7 -4 d 7
|
|
||||||
-4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 8 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 8 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4
|
|
||||||
d 7 -4 d 8 -4 d 7 -4 d 7 -4 d 7 -4 d s 1015 1660 m 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 8 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 8 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7
|
|
||||||
-4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 8 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d 7 -4 d s 1361 1464 m 7 -4 d s 6 lw 1 1 1 c 454 440 1587 440 bf black
|
|
||||||
gsave 2268 2199 0 0 C 1598 803 t 0 r /Helvetica-Bold findfont 65.5245 sf 0 0 m (Energy) show NC gr
|
|
||||||
gsave 2268 2199 0 0 C 1701 687 t 0 r /Helvetica-Bold findfont 65.5245 sf 0 0 m (12.50 keV) show NC gr 3 lw 1644 715 m26 6 lw
|
|
||||||
gsave 2268 2199 0 0 C 1701 578 t 0 r /Helvetica-Bold findfont 65.5245 sf 0 0 m (17.50 keV) show NC gr 3 lw 1644 605 m27 6 lw
|
|
||||||
gsave 2268 2199 0 0 C 1701 467 t 0 r /Helvetica-Bold findfont 65.5245 sf 0 0 m (25.00 keV) show NC gr 3 lw 1644 495 m28 6 lw
|
|
||||||
gr gr
|
|
||||||
showpage
|
|
||||||
end
|
|
||||||
%%EOF
|
|
||||||
@ -1,18 +0,0 @@
|
|||||||
The calibration wizards are based on the \textit{Root} software developed at CERN.\\
|
|
||||||
To install it, simply download it from the url \textit{http://root.cern.ch}.\\
|
|
||||||
You can either download the binaries for your system or install from source (which is time consuming, but possibly more stable).\\
|
|
||||||
The development and debugging of the wizards have been done using the root version 5.20, but it should be working also with newer versions.
|
|
||||||
|
|
||||||
After installing the root software, edit your .bashrc file to define the ROOTSYS enviroment variable, and add the binaries and libraries to your path, e.g.:
|
|
||||||
\begin{verbatim}
|
|
||||||
export ROOTSYS=/usr/local/root_sl5_32bit
|
|
||||||
export LD_LIBRARY_PATH=$ROOTSYS/lib:$LD_LIBRARY_PATH
|
|
||||||
export PATH=$ROOTSYS/bin:$PATH
|
|
||||||
\end{verbatim}
|
|
||||||
|
|
||||||
Then enter the calibrationWizards directory and compile:
|
|
||||||
\begin{verbatim}
|
|
||||||
make clean && make
|
|
||||||
\end{verbatim}
|
|
||||||
|
|
||||||
The two executables \textit{energyCalibrationWizard} and \textit{angularCalibrationWizard} should be generated, together with some documentation in pdf format inside the \textit{manual} directory.
|
|
||||||
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@ -1,135 +0,0 @@
|
|||||||
%!PS-Adobe-2.0 EPSF-2.0
|
|
||||||
%%BoundingBox: 0 0 567 550
|
|
||||||
%%Title: /import/exchange/home/msdetect/Projects/detcalMCS/article/spectrum_expl.eps: c1_n2
|
|
||||||
%%Creator: ROOT Version 5.13/02
|
|
||||||
%%CreationDate: Thu Apr 26 09:47:57 2007
|
|
||||||
%%EndComments
|
|
||||||
%%BeginProlog
|
|
||||||
80 dict begin
|
|
||||||
/s {stroke} def /l {lineto} def /m {moveto} def /t {translate} def
|
|
||||||
/sw {stringwidth} def /r {rotate} def /rl {roll} def /R {repeat} def
|
|
||||||
/d {rlineto} def /rm {rmoveto} def /gr {grestore} def /f {eofill} def
|
|
||||||
/c {setrgbcolor} def /black {0 setgray} def /sd {setdash} def
|
|
||||||
/cl {closepath} def /sf {scalefont setfont} def /lw {setlinewidth} def
|
|
||||||
/box {m dup 0 exch d exch 0 d 0 exch neg d cl} def
|
|
||||||
/NC{systemdict begin initclip end}def/C{NC box clip newpath}def
|
|
||||||
/bl {box s} def /bf {box f} def /Y { 0 exch d} def /X { 0 d} def
|
|
||||||
/mp {newpath /y exch def /x exch def} def
|
|
||||||
/side {[w .77 mul w .23 mul] .385 w mul sd w 0 l currentpoint t -144 r} def
|
|
||||||
/mr {mp x y w2 0 360 arc} def /m24 {mr s} def /m20 {mr f} def
|
|
||||||
/mb {mp x y w2 add m w2 neg 0 d 0 w neg d w 0 d 0 w d cl} def
|
|
||||||
/mt {mp x y w2 add m w2 neg w neg d w 0 d cl} def
|
|
||||||
/m21 {mb f} def /m25 {mb s} def /m22 {mt f} def /m26{mt s} def
|
|
||||||
/m23 {mp x y w2 sub m w2 w d w neg 0 d cl f} def
|
|
||||||
/m27 {mp x y w2 add m w3 neg w2 neg d w3 w2 neg d w3 w2 d cl s} def
|
|
||||||
/m28 {mp x w2 sub y w2 sub w3 add m w3 0 d 0 w3 neg d w3 0 d 0 w3 d w3 0 d 0 w3 d w3 neg 0 d 0 w3 d w3 neg 0 d
|
|
||||||
0 w3 neg d w3 neg 0 d cl s } def
|
|
||||||
/m29 {mp gsave x w2 sub y w2 add w3 sub m currentpoint t
|
|
||||||
4 {side} repeat cl fill gr} def
|
|
||||||
/m30 {mp gsave x w2 sub y w2 add w3 sub m currentpoint t
|
|
||||||
4 {side} repeat cl s gr} def
|
|
||||||
/m31 {mp x y w2 sub m 0 w d x w2 sub y m w 0 d x w2 sub y w2 add m w w neg d x w2 sub y w2
|
|
||||||
sub m w w d s} def
|
|
||||||
/m2 {mp x y w2 sub m 0 w d x w2 sub y m w 0 d s} def
|
|
||||||
/m5 {mp x w2 sub y w2 sub m w w d x w2 sub y w2 add m w w neg d s} def
|
|
||||||
/reencdict 24 dict def /ReEncode {reencdict begin /nco&na exch def
|
|
||||||
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||||||
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||||||
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||||||
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||||||
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||||||
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||||||
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||||||
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||||||
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||||||
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|
||||||
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||||||
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||||||
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||||||
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||||||
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||||||
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||||||
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||||||
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||||||
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|
||||||
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|
|
||||||
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||||||
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|
|
||||||
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|
||||||
)ns8N(Ms7lVFs7$$h!7HGufDbk6QF-\l!;lcr!<)rt!;ZZp!;lfr!<3#u!<)rt!<3#u!;HNn!.k
|
|
||||||
1Fs+14>rrE,JJcF@%!Bc[Ts8N)rs8N)us8N)os8N)ss8N)us8E#us8N)trr<&rrr<&ts8N(Ms7l
|
|
||||||
VFs7$$h!7HGufDbk6QFHni!<)rq!;6Bh!<)rt!!*&u!<)rt!;c`o!.k1Ds+14>rrE,JJcF@%!Bc
|
|
||||||
[&rr<%Ms6BW8s7$$h!7HGufDbk6QA>M?!.k18s+14>rrEX]J\0RH!jifCL]@ASJcG$8JcG6>!N@
|
|
||||||
;p&_IZs'jpfgs+14<s+13$s+13$s0)HRs+13$s+13Rs+13$s+13$s0)HRs+13$s+13Rs+13$s+1
|
|
||||||
3$s0)HRs+13$s+13Rs+13$s+13$s0)HRs+13$s+13Rs+13$s+13$s0)HRs+13$s+13Rs+13$s+1
|
|
||||||
3$s0)HRs+13$s+13Rs+13$s+13$s0)HRs+13$s+13Rs+13$s+13$s0)HRs+13$s+13Rs+13$s+1
|
|
||||||
3$s0)HRs+13$s+13Rs+13$s+13$s0)HRs+13$s+13Rs+13$s+13$s0)HRs+13$s+13Rs+13$s+1
|
|
||||||
3$s0)HRs+13$s+13Rs+13$s+13$s0)HRs+13$s+13Rs+13$s+13$s0)HRs+13$s+13Rs+13$s+1
|
|
||||||
3$s0)HRs+13$s+13Rs+13$s+13$s0)HRs+13$s+13Rs+13$s+13$s0)HRs+13$s+13Rs+13$s+1
|
|
||||||
3$s0)HRs+13$s+13Rs+13$s+13$s0)HRs+13$s+13Rs+13$s+13$s0)HRs+13$s+13Rs+13$s+1
|
|
||||||
3$s0)HRs+13$s+13Rs+13$s+13$s0)HRs+13$s+13Rs+13$s+13$s0)HRs+13$s+13Rs+13$s+1
|
|
||||||
3$s0)HQ~>
|
|
||||||
%%EndData
|
|
||||||
showpage
|
|
||||||
%%Trailer
|
|
||||||
end
|
|
||||||
%%EOF
|
|
||||||
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|
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@ -1,78 +0,0 @@
|
|||||||
DESTDIR?=../docs
|
|
||||||
|
|
||||||
#manual-api manual-calwiz manual-client manual-gui manual-main
|
|
||||||
|
|
||||||
|
|
||||||
TEX=latex
|
|
||||||
|
|
||||||
MAINTEXS= slsDetectorClientHowTo.tex
|
|
||||||
|
|
||||||
DVIS = $(MAINTEXS:.tex=.dvi)
|
|
||||||
PSS = $(MAINTEXS:.tex=.ps)
|
|
||||||
PDFS = $(MAINTEXS:.tex=.pdf)
|
|
||||||
HTMLS = $(MAINTEXS:%.tex=%)
|
|
||||||
|
|
||||||
|
|
||||||
all: docs pdf html
|
|
||||||
echo $(PWD)
|
|
||||||
echo $(PDFS)
|
|
||||||
echo $(HTMLS)
|
|
||||||
|
|
||||||
docs: createdocs docspdf docshtml removedocs
|
|
||||||
|
|
||||||
createdocs: slsDetectorClient.doxy slsDetectorCommand.cpp
|
|
||||||
doxygen slsDetectorClient.doxy
|
|
||||||
|
|
||||||
docspdf:
|
|
||||||
cd slsDetectorClientDocs/latex && make
|
|
||||||
$(shell test -d $(DESTDIR) || mkdir -p $(DESTDIR))
|
|
||||||
$(shell test -d $(DESTDIR)/pdf || mkdir -p $(DESTDIR)/pdf)
|
|
||||||
mv slsDetectorClientDocs/latex/refman.pdf $(DESTDIR)/pdf/slsDetectorClientDocs.pdf
|
|
||||||
|
|
||||||
docshtml:
|
|
||||||
$(shell test -d $(DESTDIR) || mkdir -p $(DESTDIR))
|
|
||||||
$(shell test -d $(DESTDIR)/html || mkdir -p $(DESTDIR)/html)
|
|
||||||
$(shell test -d $(DESTDIR)/html/slsDetectorClientDocs && rm -r $(DESTDIR)/html/slsDetectorClientDocs)
|
|
||||||
mv slsDetectorClientDocs/html $(DESTDIR)/html/slsDetectorClientDocs
|
|
||||||
|
|
||||||
removedocs:
|
|
||||||
rm -rf slsDetectorClientDocs;
|
|
||||||
|
|
||||||
pdf: $(PDFS)
|
|
||||||
$(shell test -d $(DESTDIR) || mkdir -p $(DESTDIR))
|
|
||||||
$(shell test -d $(DESTDIR)/pdf || mkdir -p $(DESTDIR)/pdf)
|
|
||||||
mv $(PDFS) $(DESTDIR)/pdf
|
|
||||||
|
|
||||||
|
|
||||||
html: $(HTMLS)
|
|
||||||
|
|
||||||
$(HTMLS): $(MAINTEXS)
|
|
||||||
$(shell test -d $(DESTDIR) || mkdir -p $(DESTDIR))
|
|
||||||
$(shell test -d $(DESTDIR)/html || mkdir -p $(DESTDIR)/html)
|
|
||||||
$(shell test -d $(DESTDIR)/html/$@ && rm -r $(DESTDIR)/html/$@)
|
|
||||||
latex $@.tex
|
|
||||||
latex2html -split 4 $@.tex
|
|
||||||
mv $@ $(DESTDIR)/html
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
%.dvi : %.tex
|
|
||||||
latex $<
|
|
||||||
latex $<
|
|
||||||
|
|
||||||
%.ps : %.dvi
|
|
||||||
dvips -o $@ $<
|
|
||||||
|
|
||||||
|
|
||||||
%.pdf : %.ps
|
|
||||||
ps2pdf $< $@
|
|
||||||
|
|
||||||
|
|
||||||
clean:
|
|
||||||
echo "cleaning for manual-client"
|
|
||||||
rm -rf *.aux *.log *.toc *.out $(DVIS) $(PSS) $(PDFS) $(HTMLS)
|
|
||||||
rm -rf slsDetectorClientDocs
|
|
||||||
rm -rf $(DESTDIR)/html/slsDetectorClientDocs
|
|
||||||
rm -rf $(DESTDIR)/html/slsDetectorClientHowTo
|
|
||||||
rm -rf $(DESTDIR)/pdf/slsDetectorClientDocs.pdf
|
|
||||||
rm -rf $(DESTDIR)/pdf/slsDetectorClientHowTo.pdf
|
|
||||||
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|
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|
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@ -1,180 +0,0 @@
|
|||||||
/*acquisition commands */
|
|
||||||
"acquire"; // starts the detector, acquires, saves, postprocesses the data
|
|
||||||
"data"; // get all the data (detector should already be started)
|
|
||||||
"frame"; // get one frame (detector should already be started)
|
|
||||||
"status"; // can put start or stop, returns idel, error, running, data...
|
|
||||||
/*configuration commands */
|
|
||||||
"free";// frees shared memory
|
|
||||||
"add";// adds ne detector to multydetector structure
|
|
||||||
"remove";// removes detector from multidetector structure
|
|
||||||
"type"; // adds ne detector of type to multidetector structure - type can be Mythen , Gotthard...
|
|
||||||
"hostname"; // for slsDetector sets the hostname, for multislsdetector adds new detector with hostname
|
|
||||||
"id"; // returns the id of a detector
|
|
||||||
"master"; // sets/gets the master for synchronization of multidetector
|
|
||||||
"sync"; // sets/gets synchronization mode of a multidetector (none, trigger, gating, compementary)
|
|
||||||
"help";// help for a command
|
|
||||||
"exitserver";// shuts down detector server - do not use!
|
|
||||||
/* data processing commands */
|
|
||||||
"flatfield"; // sets/gets flatfield file
|
|
||||||
"ffdir"; // sets gets/ flatfield directory
|
|
||||||
"ratecorr"; // sets/gets rate correction tau in ns
|
|
||||||
"badchannels"; // sets/gets badchannel file
|
|
||||||
"angconv"; // sets/gets angularconversion file
|
|
||||||
"globaloff"; // sets/gets beamline globaloffset
|
|
||||||
"fineoff"; // sets/gets experiment fine offset
|
|
||||||
"binsize" ;// sets/gets angular binsize for angular conversion
|
|
||||||
"angdir" ;// sets/ get angular direction (1,-1)
|
|
||||||
"moveflag" ;// sets/gets moveflag for the detector (default is 1)
|
|
||||||
"threaded"; // sets/gets threaded mode (do not use!)
|
|
||||||
"darkimage"; // sets/gets the darkimage for the Gotthard detector
|
|
||||||
"gainimage"; // sets/gets the gainimage for the Gotthard detector
|
|
||||||
"readctr"; // read counters for the Gotthard detector
|
|
||||||
"resetctr"; //resets counters for the Gotthard detector
|
|
||||||
"resmat"; //reset or not the counter before the following acquisition (at the end of the acquisoition the counter is always reset) (very advanced! EIGER only)
|
|
||||||
/* trim/cal directories */
|
|
||||||
"settingsdir"; //sets/gets the directory where the settings files are
|
|
||||||
"trimdir"; // as settingsdir
|
|
||||||
"caldir"; //sets/gets the directory where the calibration files are
|
|
||||||
"trimen"; // sets/gets the energies at which the detector is trimmed (no implemented)
|
|
||||||
/* file name */
|
|
||||||
"outdir"; // sets/gets the output directory
|
|
||||||
"fname"; // sets/gets the file name
|
|
||||||
"index"; // sets/gets the start file index (Automatically incremented during the acquisition)
|
|
||||||
"online"; // checks if the detector is online
|
|
||||||
"checkonline"; // checks if the detector is online by testing the connection
|
|
||||||
"enablefwrite"; // enable/disable file writing
|
|
||||||
/* Acquisition actions */
|
|
||||||
"positions"; // sets/gets number of positions and their values
|
|
||||||
"startscript"; // sets/gets start script
|
|
||||||
"startscriptpar"; // sets/gets start script parameter
|
|
||||||
"stopscript"; // sets/gets stop script
|
|
||||||
"stopscriptpar"; // sets/gets stop script parameter
|
|
||||||
"scriptbefore"; // sets/gets scrip before
|
|
||||||
"scriptbeforepar"; //sets/gets scrip before parameter
|
|
||||||
"scriptafter"; // sets/gets script after
|
|
||||||
"scriptafterpar"; //sets/gets script after parameter
|
|
||||||
"headerafter"; // sets/gets header after script
|
|
||||||
"headerafterpar"; // sets/gets header after parameter
|
|
||||||
"headerbefore"; // sets/gets header before script
|
|
||||||
"headerbeforepar"; // sets/gets header before parameter
|
|
||||||
"scan0script"; // sets/gets scan0 script (or none,threshold, energy,position)
|
|
||||||
"scan0par"; // sets/gets scan0 parameter
|
|
||||||
"scan0prec"; // sets/gets scan0 precision (in file name)
|
|
||||||
"scan0steps"; // sets/gets scan0 number of steps and their values
|
|
||||||
"scan0range"; // sets/gets scan0 range (min, max, step)
|
|
||||||
"scan1script"; // sets/gets scan1 script (or none,threshold, energy,position)
|
|
||||||
"scan1par"; // sets/gets scan1 parameter
|
|
||||||
"scan1prec"; // sets/gets scan1 precision (in file name)
|
|
||||||
"scan1steps"; // sets/gets scan1 number of steps and their values
|
|
||||||
"scan1range"; // sets/gets scan1 range (min, max, step)
|
|
||||||
"encallog"; // sets/gets encallog mode (0,1) for energy calibration
|
|
||||||
"angcallog"; // sets/gets angcallog mode (0,1) for energy calibration
|
|
||||||
/* communication configuration */
|
|
||||||
"clientip"; // sets/gest client ip for Gotthard
|
|
||||||
"clientmac"; // sets/gest client mac for Gotthard
|
|
||||||
"servermac"; // sets/gest server mac for Gotthard
|
|
||||||
"configuremac"; // configure the detector mac for Gotthard
|
|
||||||
"port"; // sets control communication port
|
|
||||||
"stopport"; // sets status communication port
|
|
||||||
"dataport"; // sets data port
|
|
||||||
"lock"; // lock detector (no other PC can connect)
|
|
||||||
"lastclient"; // gest last conencted client
|
|
||||||
/* detector and data size */
|
|
||||||
"nmod"; // sets/gets number of modules
|
|
||||||
"maxmod"; // sets/gets maximum number of modules
|
|
||||||
"dr"; // sets/gets dynamic range
|
|
||||||
/* flags */
|
|
||||||
"flags"; // sets/gets readout flags (none, storeinram, tot)
|
|
||||||
"extsig"; // sets/gets configuration of the lemo conenctors
|
|
||||||
"timing"; // sets/gets detector timing mode (auto, gating, trigger)
|
|
||||||
/* versions/ serial numbers getId */
|
|
||||||
"moduleversion"; // gets module version
|
|
||||||
"detectornumber"; // gets detector mac address
|
|
||||||
"modulenumber"; // gets module serial number
|
|
||||||
"detectorversion"; // gets detector firmware version
|
|
||||||
"softwareversion"; // gets detector software version
|
|
||||||
"thisversion"; // get client software version
|
|
||||||
/* digital test and debugging */
|
|
||||||
"digitest"; // digital test of a module
|
|
||||||
"bustest"; // test of CPU-FPGA communication
|
|
||||||
"digibittest"; // for Gotthard
|
|
||||||
"acqtest"; // for Gotthard
|
|
||||||
"reg"; // read/write register - do not use!
|
|
||||||
/* settings, threshold */
|
|
||||||
"settings"; // set/gets settings (standard, fast, highgain)
|
|
||||||
"threshold"; // set threshold in eV
|
|
||||||
"trimbits"; // set/get trimbit value (for all channels!)
|
|
||||||
"trim"; // trim detector (noise, improve etc.)
|
|
||||||
/* r/w timers */
|
|
||||||
"exptime"; // sets/gets exposure time in s
|
|
||||||
"period"; // sets/gets frame period in s
|
|
||||||
"delay"; // sets/gets delay after trigger in s
|
|
||||||
"gates"; // sets/gets number of gates per frame in gated mode
|
|
||||||
"frames"; // sets/gets number of frames
|
|
||||||
"triggers"; // sets/gets number of triggers (use in trigger mode)
|
|
||||||
"probes"; // sets/gets number of probes (advanced!)
|
|
||||||
"measurements"; // sets/gets number of non-real time measurements
|
|
||||||
/* read only timers */
|
|
||||||
"exptimel"; // gets exposure time left
|
|
||||||
"periodl"; // gets period left
|
|
||||||
"delayl"; // gets delay left
|
|
||||||
"gatesl"; // gets number of gates left
|
|
||||||
"framesl"; // gets number of frames left
|
|
||||||
"triggersl"; // gets number of triggers left
|
|
||||||
"now"; // gets time stamp from the dteector
|
|
||||||
"timestamp"; // gets time stamp for the frames (fifo-style)
|
|
||||||
"framescaught";// gets the entire frames caught by receiver
|
|
||||||
"resetframescaught x"; resets the value of framescaught to x
|
|
||||||
/* speed */
|
|
||||||
"clkdivider"; // sets/gets readout clock divider (advanced!)
|
|
||||||
"setlength";// sets/gets readout set/clear length (advanced!)
|
|
||||||
"waitstates"; // sets/gets CPU waitstates (advanced!)
|
|
||||||
"totdivider"; // sets/gets tot ckdivider (advanced!)
|
|
||||||
"totdutycycle"; // sets/gets tot duty cycle (advanced!)
|
|
||||||
/* settings dump/retrieve */
|
|
||||||
"config"; // loads/save configuration file
|
|
||||||
"parameters"; // loads/save parameters file
|
|
||||||
"setup"; // loads/save complete detector setup
|
|
||||||
/* pots */
|
|
||||||
"vthreshold"; // sets/get vthreshold value (advanced! Mythen and Eiger)
|
|
||||||
"vcalibration"; // sets/get vcalibration value (advanced! Mythen)
|
|
||||||
"vtrimbit"; // sets/get vtrimbit value (advanced! Mythen)
|
|
||||||
"vpreamp"; // sets/get vpreamp value (advanced! Mythen)
|
|
||||||
"vshaper1"; // sets/get vshaper1 value (advanced! Mythen)
|
|
||||||
"vshaper2"; // sets/get vshaper2 value (advanced! Mythen)
|
|
||||||
"highvoltage"; // sets/get highvoltage value (advanced! Chiptest board and Eiger)
|
|
||||||
"vapower"; // sets/get vapower value (advanced! Chiptest board)
|
|
||||||
"vddpower"; // sets/get vddpower value (advanced! Chiptest board)
|
|
||||||
"vshpower"; // sets/get vshpower value (advanced! Chiptest board)
|
|
||||||
"viopower"; // sets/get viopower value (advanced! Chiptest board)
|
|
||||||
"vref_ds"; // sets/get vref_ds value (advanced! Gotthard)
|
|
||||||
"vcascn_pb"; // sets/get vcascn_pb value (advanced! Gotthard)
|
|
||||||
"vcascp_pb"; // sets/get vcascp_pb value (advanced! Gotthard)
|
|
||||||
"vout_cm"; // sets/get vout_cm value (advanced! Gotthard)
|
|
||||||
"vcasc_out"; // sets/get vcasc_out value (advanced! Gotthard)
|
|
||||||
"vin_cm"; // sets/get vin_cm value (advanced! Gotthard)
|
|
||||||
"vsvp"; // sets/get vsvp value (advanced! Eiger)
|
|
||||||
"vsvn"; // sets/get vsvn value (advanced! Eiger)
|
|
||||||
"vtr"; // sets/get vtr value (advanced! Eiger)
|
|
||||||
"vrf"; // sets/get vrf value (advanced! Eiger)
|
|
||||||
"vrs"; // sets/get vrs value (advanced! Eiger)
|
|
||||||
"vtgstv"; // sets/get vtgstv value (advanced! Eiger)
|
|
||||||
"vcmp_ll"; // sets/get vcmp_ll value (advanced! Eiger)
|
|
||||||
"vcmp_lr"; // sets/get vcmp_lr value (advanced! Eiger)
|
|
||||||
"vcall"; // sets/get vcall value (advanced! Eiger)
|
|
||||||
"vcmp_rl"; // sets/get vcmp_rl value (advanced! Eiger)
|
|
||||||
"vcmp_rr"; // sets/get vcmp_rr value (advanced! Eiger)
|
|
||||||
"rxb_rb"; // sets/get rxb_rb value (advanced! Eiger)
|
|
||||||
"rxb_lb"; // sets/get rxb_rb value (advanced! Eiger)
|
|
||||||
"vcp"; // sets/get vcp value (advanced! Eiger)
|
|
||||||
"vcn"; // sets/get vcn value (advanced! Eiger)
|
|
||||||
"vis"; // sets/get vis value (advanced! Eiger)
|
|
||||||
"iodelay"; // sets/get iodelay value (advanced! Eiger)
|
|
||||||
|
|
||||||
"vref_comp"; // sets/get vref_comp value (advanced! Gotthard)
|
|
||||||
"ib_test_c"; // sets/get ib_test_c value (advanced! Gotthard)
|
|
||||||
"temp_adc"; // get adc temperature (advanced! Gotthard)
|
|
||||||
"temp_fpga"; //get fpga temperature (advanced! Gotthard)
|
|
||||||
"pulsechip n"; //advanc ed! EIGER: pulses the chip $n$ times with the enable. If n$=-1$, the chip will be set into normal mode.
|
|
||||||
"pulse n x y"; // Pulses pixel at coordinates (x,y) $n$-times.
|
|
||||||
"pulsenmove n x y"; //Pulses pixel $n$-times and moves relatively by x value (x axis) and y value (y axis)
|
|
||||||
@ -1,59 +0,0 @@
|
|||||||
The slsDetectorGUI is based on Qt4 with Qwt libraries.
|
|
||||||
|
|
||||||
-Qt4.6 installation:
|
|
||||||
|
|
||||||
Download the opend source version:
|
|
||||||
ftp://ftp.qt.nokia.com/qt/source/qt-everywhere-opensource-src-4.6.2.tar.gz
|
|
||||||
|
|
||||||
To install:
|
|
||||||
gunzip qt-everywhere-opensource-src-4.6.2.tar.gz
|
|
||||||
tar xvf qt-everywhere-opensource-src-4.6.2.tar
|
|
||||||
./configure
|
|
||||||
make
|
|
||||||
make install
|
|
||||||
|
|
||||||
By default Qt4 will be installed int /usr/local/Trolltech/Qt-4.6.2/
|
|
||||||
Edit your .bashrc:
|
|
||||||
export QTDIR=/usr/local/Trolltech/Qt-4.6.2
|
|
||||||
export PATH=$QTDIR/bin:$PATH
|
|
||||||
export LD_LIBRARY_PATH=$QTDIR/lib:$LD_LIBRARY_PATH
|
|
||||||
|
|
||||||
If your system also have Qt3 installed, make sure that QTDIR, PATH and LD_LIBRARY_PATH point to Qt4 before installing Qwt (and of course compiling and running the GUI).
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
- Qwt5.2 installation
|
|
||||||
|
|
||||||
Download the sources:
|
|
||||||
svn co https://qwt.svn.sourceforge.net/svnroot/qwt/branches/qwt-5.2
|
|
||||||
|
|
||||||
To install:
|
|
||||||
cd qwt-5.2
|
|
||||||
qmake
|
|
||||||
make
|
|
||||||
make install
|
|
||||||
|
|
||||||
By default Qwt will be installed in /usr/local/qwt-5.2.3-svn/
|
|
||||||
Edit your .bashrc:
|
|
||||||
export QWTDIR=/usr/local/qwt-5.2.3-svn/
|
|
||||||
export LD_LIBRARY_PATH=$QWTDIR/lib:$LD_LIBRARY_PATH
|
|
||||||
|
|
||||||
|
|
||||||
- The calibration wizards are based on the cern root software
|
|
||||||
|
|
||||||
Download the sources
|
|
||||||
svn co https://root.cern.ch/svn/root/trunk root
|
|
||||||
|
|
||||||
To install:
|
|
||||||
cd root
|
|
||||||
./configure --enable-qt
|
|
||||||
make
|
|
||||||
make install
|
|
||||||
|
|
||||||
edit your .bashrc:
|
|
||||||
export ROOTSYS=/usr/local/root
|
|
||||||
export PATH=$ROOTSYS/bin:$PATH
|
|
||||||
export LD_LIBRARY_PATH=$ROOTSYS/lib:$LD_LIBRARY_PATH
|
|
||||||
|
|
||||||
You can also download the binaries, assuming that your linuc and gcc versions match:
|
|
||||||
http://root.cern.ch/drupal/content/production-version-534
|
|
||||||
@ -1,86 +0,0 @@
|
|||||||
# If the EXTRACT_ALL tag is set to YES doxygen will assume all entities in
|
|
||||||
# documentation are documented, even if no documentation was available.
|
|
||||||
# Private class members and static file members will be hidden unless
|
|
||||||
# the EXTRACT_PRIVATE and EXTRACT_STATIC tags are set to YES
|
|
||||||
|
|
||||||
EXTRACT_ALL = YES
|
|
||||||
|
|
||||||
# If the EXTRACT_PRIVATE tag is set to YES all private members of a class
|
|
||||||
# will be included in the documentation.
|
|
||||||
|
|
||||||
EXTRACT_PRIVATE = NO
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
# If the EXTRACT_STATIC tag is set to YES all static members of a file
|
|
||||||
# will be included in the documentation.
|
|
||||||
|
|
||||||
EXTRACT_STATIC = YES
|
|
||||||
|
|
||||||
# If the EXTRACT_LOCAL_CLASSES tag is set to YES classes (and structs)
|
|
||||||
# defined locally in source files will be included in the documentation.
|
|
||||||
# If set to NO only classes defined in header files are included.
|
|
||||||
|
|
||||||
EXTRACT_LOCAL_CLASSES = YES
|
|
||||||
|
|
||||||
# This flag is only useful for Objective-C code. When set to YES local
|
|
||||||
# methods, which are defined in the implementation section but not in
|
|
||||||
# the interface are included in the documentation.
|
|
||||||
# If set to NO (the default) only methods in the interface are included.
|
|
||||||
|
|
||||||
EXTRACT_LOCAL_METHODS = YES
|
|
||||||
|
|
||||||
# If this flag is set to YES, the members of anonymous namespaces will be
|
|
||||||
# extracted and appear in the documentation as a namespace called
|
|
||||||
# 'anonymous_namespace{file}', where file will be replaced with the base
|
|
||||||
# name of the file that contains the anonymous namespace. By default
|
|
||||||
# anonymous namespace are hidden.
|
|
||||||
|
|
||||||
EXTRACT_ANON_NSPACES = NO
|
|
||||||
|
|
||||||
# If the HIDE_UNDOC_MEMBERS tag is set to YES, Doxygen will hide all
|
|
||||||
# undocumented members of documented classes, files or namespaces.
|
|
||||||
# If set to NO (the default) these members will be included in the
|
|
||||||
# various overviews, but no documentation section is generated.
|
|
||||||
# This option has no effect if EXTRACT_ALL is enabled.
|
|
||||||
|
|
||||||
HIDE_UNDOC_MEMBERS = NO
|
|
||||||
|
|
||||||
# If the HIDE_UNDOC_CLASSES tag is set to YES, Doxygen will hide all
|
|
||||||
# undocumented classes that are normally visible in the class hierarchy.
|
|
||||||
# If set to NO (the default) these classes will be included in the various
|
|
||||||
# overviews. This option has no effect if EXTRACT_ALL is enabled.
|
|
||||||
|
|
||||||
HIDE_UNDOC_CLASSES = NO
|
|
||||||
|
|
||||||
# If the HIDE_FRIEND_COMPOUNDS tag is set to YES, Doxygen will hide all
|
|
||||||
# friend (class|struct|union) declarations.
|
|
||||||
# If set to NO (the default) these declarations will be included in the
|
|
||||||
# documentation.
|
|
||||||
|
|
||||||
HIDE_FRIEND_COMPOUNDS = NO
|
|
||||||
|
|
||||||
INTERNAL_DOCS = NO
|
|
||||||
|
|
||||||
SHOW_INCLUDE_FILES = NO
|
|
||||||
|
|
||||||
SHOW_FILES = NO
|
|
||||||
|
|
||||||
SHOW_NAMESPACES = NO
|
|
||||||
|
|
||||||
COMPACT_LATEX = YES
|
|
||||||
|
|
||||||
PAPER_TYPE = a4
|
|
||||||
|
|
||||||
PDF_HYPERLINKS = YES
|
|
||||||
|
|
||||||
USE_PDFLATEX = YES
|
|
||||||
|
|
||||||
LATEX_HIDE_INDICES = YES
|
|
||||||
|
|
||||||
|
|
||||||
PREDEFINED = __cplusplus
|
|
||||||
|
|
||||||
INPUT = slsDetectorCommand.cpp
|
|
||||||
|
|
||||||
OUTPUT_DIRECTORY = slsDetectorClientDocs
|
|
||||||
@ -1,760 +0,0 @@
|
|||||||
\documentclass{article}
|
|
||||||
\usepackage{amssymb}
|
|
||||||
\usepackage[dvips]{graphicx}
|
|
||||||
\usepackage{verbatim}
|
|
||||||
\usepackage{xspace}
|
|
||||||
\newcommand{\E}{EIGER\xspace}
|
|
||||||
\begin{document}
|
|
||||||
|
|
||||||
\title{SLS Detector text clients manual}
|
|
||||||
\date{\today}
|
|
||||||
\maketitle
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\section{Introduction}
|
|
||||||
|
|
||||||
This program is intended to control the SLS detectors via command line interface.\\
|
|
||||||
This is the only way to access all possible functionality of the detectors, however it is often recommendable to avoid changing the most advanced settings, rather leaving the task to configuration files, as when using the GUI or the API provided.
|
|
||||||
|
|
||||||
The command line interface consists in four main functions:
|
|
||||||
\begin{description}
|
|
||||||
\item[sls\_detector\_acquire] to acquire data from the detector
|
|
||||||
\item[sls\_detector\_put] to set detector parameters
|
|
||||||
\item[sls\_detector\_get] to retrieve detector parameters
|
|
||||||
\item[sls\_detector\_help] to get help concerning the text commands
|
|
||||||
\end{description}
|
|
||||||
Additionally the program \textbf{slsReceiver} should be started on the machine expected to receive the data from the detector.
|
|
||||||
|
|
||||||
|
|
||||||
If you need control a single detector, the use of the command line interface does not need any additional arguments.
|
|
||||||
|
|
||||||
For commands addressing a single controller of your detector, the command \verb=cmd= should be called with the index \verb=i= of the controller:\\
|
|
||||||
\verb=sls_detector_clnt i:cmd=\\
|
|
||||||
where \verb=sls_detector_clnt= is the text client (put, get, acquire, help).
|
|
||||||
|
|
||||||
In case more than one detector is configured on the control PC, the command \verb=cmd= should be called with their respective index \verb=j=:
|
|
||||||
\verb=sls_detector_clnt j-cmd=\\
|
|
||||||
where \verb=sls_detector_clnt= is the text client (put, get, acquire, help).
|
|
||||||
|
|
||||||
To address a specific controller \verb=i= of detector \verb=j= use:\\
|
|
||||||
\verb=sls_detector_clnt j-i:cmd=
|
|
||||||
|
|
||||||
For additional questions concerning the indexing of the detector, please refer to the \textit{SLS Detectors FAQ} documentation.
|
|
||||||
|
|
||||||
|
|
||||||
\section{Acquisition}
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
By calling:\\
|
|
||||||
\verb=sls\_detector\_acquire [j-]=\\
|
|
||||||
the detector \verb=j= is started and the data are acquired, postprocessed and written to file according to the configuration and setup of the measurements.\\
|
|
||||||
A progress index of the acquisition in percentage is shown on the command line.
|
|
||||||
|
|
||||||
For additional questions concerning the acquisition flow, please refer to the \textit{SLS Detectors FAQ} documentation.
|
|
||||||
|
|
||||||
\section{Detector setup}
|
|
||||||
|
|
||||||
\verb=sls\_detector\_put [j-][i:]var arg=\\
|
|
||||||
|
|
||||||
is used to configure the detector parameters \verb=var= with the value \verb=arg=.\\
|
|
||||||
It returns the actual value of the variable, as when calling \verb=sls\_detector\_get= with the same command.
|
|
||||||
|
|
||||||
\subsection{Standard commands}
|
|
||||||
|
|
||||||
|
|
||||||
\begin{description}
|
|
||||||
\item[config fname]
|
|
||||||
Load the configuration file fname. \\
|
|
||||||
Examples of configuration files are available in the directory \verb=examples=. This should be done every time the configuration of the detectors(s) changes or the control PC is rebooted. Must be executed on all the control PCs, before executing other commands.
|
|
||||||
\item[parameters fname]
|
|
||||||
Load the parameter file fname. \\
|
|
||||||
The syntax of the commands in the parameter file is exactly the same as for the command line interface. Can be used to load a standard mode of acquisition and/or to hide advanced parameters from the final user. Examples of parameter files are available in the directory \verb=examples=.
|
|
||||||
\item[settings sett]
|
|
||||||
Configures the settings of the detector. Refer to detailed detector documentation for more details: \\
|
|
||||||
for MYTHEN sett can be: standard, fast, highgain;\\
|
|
||||||
for GOTTHARD sett can be: veryhighgain, highgain, mediumgain, lowgain, dynamicgain;\\
|
|
||||||
for \E sett can be: standard, highgain, lowgain.
|
|
||||||
\item[threshold ev]
|
|
||||||
For photon counting detectors, sets the detector threshold in eV. The detector should be properly calibrated, otherwise standard calibration coefficients are used, which can give an uncertainty up to a few keVs.
|
|
||||||
\item[timing sync]
|
|
||||||
Sets the timing mode of the detector. Can be auto, gating (works only if at least one of the signals is configured as gate\_in), trigger (works only if at least one of the signals is configured as trigger\_in), ro\_trigger (works only if at least one of the signals is configured as ro\_trigger\_in), triggered\_gating (works only if one of the signals is configured as gate\_in and one as trigger\_in). \\
|
|
||||||
Refer to the detailed documentation to understand how the different timing modes work.
|
|
||||||
\item[outdir path]
|
|
||||||
Defines the path where the output files will be saved to.
|
|
||||||
\item[fname prefix]
|
|
||||||
Defines the prefix of the file name for the data output. \\
|
|
||||||
The final file name will be: \\
|
|
||||||
\verb=prefix[_d=\textit{d}\verb=][_S=\textit{v0}\verb=][_s=\textit{v1}\verb=][_p=\textit{p}\verb=][_f=\textit{f}\verb=]_=\textit{i}\verb=.=\textit{ext}\\
|
|
||||||
where: \\
|
|
||||||
\textit{d} is the controller index, in case of data receiver and more than one controller;\\
|
|
||||||
\textit{v0} is the scan0 variable with the desired precision, if scan0 is enabled;\\
|
|
||||||
\textit{v1} is the scan1 variable with the desired precision, if scan1 is enabled;\\
|
|
||||||
\textit{p} is the position index, if different positions are configured;\\
|
|
||||||
\textit{f} is the frame index of the first frame stored in the file, if many frames and triggers are configured;\\
|
|
||||||
\textit{i} is the file index;\\
|
|
||||||
\textit{ext} is the file extension e.g. \textit{.raw} for MYTHEN and \E raw data, \textit{.dat} for MYTHEN processed data.
|
|
||||||
\item[index i] Sets the starting index of the file i at the beginning of the acquisition (automatically incremented for each measurement).
|
|
||||||
\item[enablefwrite b] Enables (1) or disables (0) file writing.
|
|
||||||
\item[exptime ts]
|
|
||||||
Sets the exposure time of a single acquisition to ts (in s). It is overridden in case the detector is in gating mode. \\
|
|
||||||
Refere to detailed documentation to understand how the different timing modes work.
|
|
||||||
\item[subexptime ts]
|
|
||||||
Sets the subexposure time of a single subacquisition to ts (in s) in \E autosumming mode (=\textit{dr 32}). Refer to detailed documentation to understand how the different timing modes work.
|
|
||||||
\item[period ts]
|
|
||||||
Sets the frames period (in s). It is overridden in case the detector is in gating mode. \\
|
|
||||||
Refer to detailed documentation to understand how the different timing modes work.
|
|
||||||
\item[delay ts]
|
|
||||||
Sets the delay after trigger in triggered mode (in s).\\
|
|
||||||
Refer to the detailed documentation to understand how the different timing modes work.
|
|
||||||
\item[gates n]
|
|
||||||
Sets the number of gates per frame in gated (stroboscopic) mode.\\
|
|
||||||
Refer to the detailed documentation to understand how the different timing modes work.
|
|
||||||
\item[frames n]
|
|
||||||
Sets the number of frames acquired sequentially per cycle (e.g. after each trigger), with the exposure time defined by exptime and the period defined by period (unless in gated mode). The frame index in the output file name will automatically be incremented.\\
|
|
||||||
Note that the total number of images will be frames times triggers. Refer to detailed documentation to understand how the different timing modes work.
|
|
||||||
\item[triggers n]
|
|
||||||
Sets the number of triggers (e.g. number of triggers). The frame index in the output file name will automatically be incremented. \\
|
|
||||||
Note that the total number of images will be by frames times triggers. Refer to the detailed documentation to understand how the different timing modes work.
|
|
||||||
\item[probes] Sets the number of probes to accumulate for stroboscopic measurements. \\
|
|
||||||
Refer to detailed documentation to understand how the different timing modes work.
|
|
||||||
\item[measurements] Sets the number of repetitions of the acquisitions (non real time!). The file index in the file name will be automatically incremented.\\
|
|
||||||
Refer to detailed documentation to understand how the different timing modes work.
|
|
||||||
\item[dr n] Sets the dynamic range n (in bits) of the data for a photon counting detector. For \E it can be set to 4, 8, 16 (but the real counter depth will still be limited to 12 bits) or 32 when one wants to activate the internal subframe summing mode.
|
|
||||||
|
|
||||||
\item[flags s] Sets some particular flags for your detector. For MYTHEN s can be \textit{none}, \textit{storeinram} (for buffered readout) or \textit{tot} (for time over threshold). For \E, s can be {\it{continous}} (for continous readout- still buffer on memories happens), \textit{storeinram} (for buffered readout. Do not use as has no graet advantages), \textit{parallel} for parallel exposure to the next frame and readout of the previous frame, \textit{nonparallel} to decouple sequentially readout and exposure, \textit{safe} (rowclock interleaved).
|
|
||||||
%\item[timestamp]
|
|
||||||
\item[help cmd] Returns the help for command cmd.
|
|
||||||
\item[lock] Locks (1) or unlocks (0) the detector to this particular control PC. An be unlocked again only from the same PC or by rebooting the detector.
|
|
||||||
%\item[lastclient]
|
|
||||||
\item[nmod n] Sets the number of modules for the detector to n for partial readout. Will be replaced by ROI.
|
|
||||||
%\item[maxmod]
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
\subsection{Postprocessing commands}
|
|
||||||
\begin{description}
|
|
||||||
\item[flatfield fname] Sets the flat field file name. File ffdir/fname will be used to calculate the flat field coefficients. \textit{none} to unset flat field corrections.
|
|
||||||
\item[ratecorr ns] Sets the deadtime to be used for rate corrections in ns. 0 to unset, -1 to use default dead time for the actual settings.In the case of \E, as online data rate correctiosn are applied, then a correction table has to be calculated every time the rate correction $\tau$ is changed, activated, or the subexposure time is changed.
|
|
||||||
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
\subsubsection{Angular conversion}
|
|
||||||
|
|
||||||
\begin{description}
|
|
||||||
\item[fineoff deg] Sets the fine offset for the experiment.
|
|
||||||
\item[samplex mm] Sets the sample displacement from the center of the diffractometer in the X-ray direction, to improve angular conversion (unused).
|
|
||||||
\item[sampley mm] Sets the sample displacement from the center of the diffractometer in the ortogonal direction, to improve angular conversion (unused)
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\subsection{Acquisition}
|
|
||||||
See SLS Detectors Documentation for a detailed description of the acquisition flow.
|
|
||||||
\begin{description}
|
|
||||||
\item[positions n p1 p2...pn] Sets the number of positions n and their value.
|
|
||||||
\item[startscript s] Sets the script to be executed at the beginning of each measurement. \textit{none} unsets.
|
|
||||||
\item[startscriptpar p] Sets the parameter to be passed to the start script
|
|
||||||
\item[stopscript s] Sets the script to be executed at the end of each measurement. \textit{none} unsets.
|
|
||||||
\item[stopscriptpar p] Sets the parameter to be passed to the stop script.
|
|
||||||
\item[scriptbefore s] Sets the script to be executed before each acquisition. \textit{none} unsets.
|
|
||||||
\item[scriptbeforepar p] Sets the parameter to be passed to the script before.
|
|
||||||
\item[scriptafter s] Sets the script to be executed after each acquisition. \textit{none} unsets.
|
|
||||||
\item[scriptafterpar p] Sets the parameter to be passed to the script after.
|
|
||||||
\item[headerbefore s] Sets the script to be executed to acquire the header of the acquisition. \textit{none} unsets.
|
|
||||||
\item[headerbeforepar p] Sets the parameter to be passed to the header before.
|
|
||||||
\item[headerafter s] Sets the script to be executed to append to the header of the acquisition. \textit{none} unsets.
|
|
||||||
\item[headerafterpar p] Sets the parameter to be passed to the header after.
|
|
||||||
\item[scan0scripts s] Sets the script to execute at scan 0 level. \textit{none} unsets, \textit{threshold, energy, trimbits, position} perform the corresponding scans without need of a custom script.
|
|
||||||
\item[scan0par p] Sets a parameter to be passed to the scan 0 level script.
|
|
||||||
\item[scan0prec i] Sets the number of decimal digits for the scan0 level parameter in the file name (default is 0).
|
|
||||||
\item[scan0steps n s1 s2..sn] Sets the number of scan 0 level steps n and their value.
|
|
||||||
\item[scan0range min max step] Sets the minimum, the maximum and the step for the scan 0 level steps (easier to use than scan0steps if equally spaced steps in a range)
|
|
||||||
\item[scan1script s] Sets the script to execute at scan 1 level. \textit{none} unsets, \textit{threshold, energy, trimbits, position} perform the corresponding scans without need of a custom script.
|
|
||||||
\item[scan1par p] Sets a parameter to be passed to the scan 1 level script.
|
|
||||||
\item[scan1prec i] Sets the number of decimal digits for the scan1 level parameter in the file name (default is 0).
|
|
||||||
\item[scan1steps n s1 s2...sn] Sets the number of scan 0 level steps n and their value.
|
|
||||||
\item[scan1range min max step] Sets the minimum, the maximum and the step for the scan 0 level steps (easier to use than scan0steps if equally spaced steps in a range)
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
\begin{comment}
|
|
||||||
\subsection{Debug}
|
|
||||||
|
|
||||||
\begin{description}
|
|
||||||
\item[moduleversion]
|
|
||||||
\item[detectornumber]
|
|
||||||
\item[modulenumber]
|
|
||||||
\item[detectorversion]
|
|
||||||
\item[softwareversion]
|
|
||||||
\item[thisversion]
|
|
||||||
\item[detectorsvnversion]
|
|
||||||
\item[digitest]
|
|
||||||
\item[bustest]
|
|
||||||
\item[acqtest]
|
|
||||||
\end{description}
|
|
||||||
\end{comment}
|
|
||||||
\subsection{Advanced commands}
|
|
||||||
|
|
||||||
|
|
||||||
\subsubsection{Calibration}
|
|
||||||
This operations should be performed only rarely to configure the detector
|
|
||||||
|
|
||||||
\begin{description}
|
|
||||||
\item[trim:mode fname] Trims the detector according to mode (can be noise, beam, improve, fix) and saves the resulting trimbits to file fname. Take care to set a proper exptime and vthreshold before trimming.
|
|
||||||
\item[encallog b] Sets (1) or unsets (0) the logging for energy calibration.
|
|
||||||
\item[angcallog b] Sets (1) or unsets (0) the logging for angular calibration.
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\subsubsection{Acquisition}
|
|
||||||
|
|
||||||
It is normally recommended to use \verb=sls\_detector\_acquire [j-]=, which takes care of everything
|
|
||||||
\begin{description}
|
|
||||||
%\item[acquire] It is normally reccomended to use \verb=sls\_detector\_acquire [j-]=, which takes care of everything
|
|
||||||
%\item[data]
|
|
||||||
%\item[frame]
|
|
||||||
\item[status s] Starts (start) or stops (stop) the detector acquisition.
|
|
||||||
\item[online b] Sets the detector in online (1) or offline (0) mode.
|
|
||||||
%\item[checkonline]
|
|
||||||
%\item[readctr i fname] GOTTHARD related - reads counter in detector to file fname, restarts acquisition if i=1
|
|
||||||
\item[resetctr i] GOTTHARD- ADVANCED- resets counter in detector, restarts acquisition if i=1
|
|
||||||
\item[resmat i] \E - ADVANCED - resets counter in detector before the following acquisition. Default settings is \textit{resmat 1}. \textit{resmat 0} does not reset the counter bit before the acquisition. Note that in \E the counter is always reset after the acquisition.
|
|
||||||
%\item[exptimel]
|
|
||||||
%\item[periodl]
|
|
||||||
%\item[delayl]
|
|
||||||
%\item[gatesl]
|
|
||||||
%\item[framesl]
|
|
||||||
%\item[triggersl]
|
|
||||||
%\item[frameindex]
|
|
||||||
%\item[now]
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\subsubsection{Configuration}
|
|
||||||
Advanced commands to configure the detector system. Should be left to the configuration file
|
|
||||||
\begin{description}
|
|
||||||
\item[type s] Sets the types of detector controllers in the system. Can be Mythen, Gotthard, \E and multiple controllers should be catenated with a + (e.g. Mythen+Mythen for 2 Mythen controllers).
|
|
||||||
\item[d:hostname s] Sets the hostname or IP address for the controller d, where d is the controller index within the detector structure.
|
|
||||||
\item[d:extsig:i s] Configures the usage of the external IO signals to synchronize the detectors. s can be: off, gate\_in\_active\_high, gate\_in\_active\_low, trigger\_in\_rising\_edge,
|
|
||||||
trigger\_in\_falling\_edge,
|
|
||||||
ro\_trigger\_in\_rising\_edge,
|
|
||||||
ro\_trigger\_in\_falling\_edge,
|
|
||||||
gate\_out\_active\_high,
|
|
||||||
gate\_out\_active\_low,
|
|
||||||
trigger\_out\_rising\_edge,
|
|
||||||
trigger\_out\_falling\_edge,
|
|
||||||
ro\_trigger\_out\_rising\_edge,
|
|
||||||
ro\_trigger\_out\_falling\_edge, sync. \\Usually left to the configuration file. Gating, triggering etc. are enabled only by calling the timing command. \\
|
|
||||||
Please refer to SLS Detectors FAQ documentation for more detailed information about the usage.
|
|
||||||
|
|
||||||
\item[master i] Sets the master of a multi-controller detector to the controller with index i. -1 removes master. Setting a master is useful only if the controllers are synchronized via hardware using the external IO signals. Usually left to the configuration file. Please refer to SLS Detectors FAQ documentation for more detailed information about the usage.
|
|
||||||
\item[sync s] Sets the synchronization mode of the various controller within a detector structure. s acn be none, gating, trigger, complementary. Check that the detectors are correctly connected to avoid freezing of the acquisition. Usually left to the configuration file. Please refer to SLS Detectors FAQ documentation for more detailed information about the usage.
|
|
||||||
\item[trimdir s] Obsolete. Same ad settingsdir.
|
|
||||||
\item[settingsdir s] Sets the path of the drectory where the trim/settings files are stored. Usually left to the configuration file.
|
|
||||||
\item[caldir s] Sets the path of the drectory where the calibration files are stored. Can be the same as settingsdir. Usually left to the configuration file.
|
|
||||||
\item[trimen n e1 e2 ...en] Unused. Sets the list of energies for which trimfiles exist.
|
|
||||||
\item[port p] Sets the port used by the sockets to control the detector. Do not change! Usually left to the configuration file.
|
|
||||||
\item[stopport p] Sets the port used by the sockets to stop/get the status of the detector. Do not change! Usually left to the configuration file.
|
|
||||||
\item[add s] Avoid using it. Adds the controller s to the detector structure.
|
|
||||||
\item[remove i] Avoid using it. Removes the controller in position i from the detector structure.
|
|
||||||
\item[id:i l] Avoid using it. configures the id of the detector structure. i is the detector position in a multi detector system and l is the id of the detector to be added.
|
|
||||||
\item[free i] Avoid using it. Frees the shared memory.
|
|
||||||
\item[exitserver] Avoid using it. Turns off the communication server on the detector.
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
|
|
||||||
\subsubsection{Receiver - GOTTHARD/\E}
|
|
||||||
\begin{description}
|
|
||||||
\begin{comment}
|
|
||||||
|
|
||||||
\item[receiverip ip] sets receiver ip to ip. Should be left to the configuration file.
|
|
||||||
%\item[receivermac] sets receiver mac to mac. Should be left to the configuration file.
|
|
||||||
\item[servermac mac] sets server mac to mac. Should be left to the configuration file.
|
|
||||||
%\item[configuremac i] configures the MAC of the detector. i is adc number. -1 for all adcs. Should be left to the configuration file.
|
|
||||||
\item[dataport i] sets the communication port to the receiver. Should be left to the configuration file.
|
|
||||||
|
|
||||||
\end{comment}
|
|
||||||
\item[detectormac mac] sets the mac of the detector udp interface to mac (if configurable). Should be left to the configuration file.
|
|
||||||
\item[rx\_tcpport i] sets the communication port between client and receiver. Should be left to the configuration file.
|
|
||||||
\item[rx\_udpport i] sets the communication port between detector and receiver. Should be left to the configuration file.
|
|
||||||
\item[rx\_hostname s] sets the hostname (or IP address) of the receiver for the TCP/IP interface with the client.
|
|
||||||
\item[rx\_udpip ip] sets the IP address of the receiver for the UDP interface with the detector.
|
|
||||||
\item[rx\_fifodepth v] sets receiver fifo depth to value v. Default for \E is 100 frames betweeen listening and writing.
|
|
||||||
\item[r\_online b] sets the receiver in online (1) or offline (0) mode.
|
|
||||||
%\item[r\_checkonline]
|
|
||||||
%\item[framescaught]
|
|
||||||
\item[r\_lock b] Locks (1) or unlocks (0) the receiver to this PC.
|
|
||||||
%\item[r\_lastclient]
|
|
||||||
\item[receiver s] starts/stops the receiver to listen to detector packets. - can be start or stop
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
\subsubsection{Postprocessing}
|
|
||||||
Some advanced commands to configure data postprocessing.
|
|
||||||
\begin{description}
|
|
||||||
\item[ffdir dir] Sets the directory where the flat field files are stored. Normally left to the configuration file.
|
|
||||||
\item[darkimage fname] GOTTHARD- ADVANCED- Sets fname as dark image file for the detector.
|
|
||||||
\item[gainimage fname] GOTTHARD- ADVANCED- Sets fname as gain image file for the detector.
|
|
||||||
\item[badchannels fname] Sets the bad channel file to fname. Bad channels will be omitted in the .dat file. \textit{none} to unset. Normally left to the configuration file.
|
|
||||||
\item[threaded b] Avoid changing it. Sets if the data are written to disk in parallel with the acquisition (1) or after the acquisition (0). Normally left to the configuration file.
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
|
|
||||||
\textbf{Angular conversion}
|
|
||||||
|
|
||||||
\begin{description}
|
|
||||||
\item[globaloff deg] Sets the offset of the beamline i.e. angular position of channel 0 when angular encoder at 0. Normally left to the configuration file.
|
|
||||||
\item[angconv fname] Sets the file with the coefficients for angular conversion. \textit{none} disables angular conversion. Normally left to the configuration file.
|
|
||||||
\item[binsize deg] Sets the size of the angular bins for angular coversion. Normally left to the configuration file.
|
|
||||||
\item[angdir i] Sets the angular direction of the detector (1 means channel number in the same direction as the angular encoder, -1 different direction). Normally left to the configuration file.
|
|
||||||
\item[d:moveflag i] Related to a single controller d. 1 if the detector modules move with the angular encoder, 0 if they are static (useful for multidetector systems). Normally left to the configuration file.
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
\subsubsection{Testing - \E specific}
|
|
||||||
Some VERY ADVANCED testing functions implemented for \E:
|
|
||||||
\begin{description}
|
|
||||||
\item [pulsechip n] sets the chip into test mode with \textit{resmat} = 0 and \textit{externalenable} =1. Pulses chip by togglying the enable n number of times. The acquire is then done with no pixel matrix reset before the acquisition. If n$=-1$, the chip will be set into normal mode. This is necessary to restore normal chip operations after the test.
|
|
||||||
\item[pulse n x y] Pulses pixel at coordinates (x,y) n number of times.
|
|
||||||
\item[pulsenmove n x y] Pulses pixel n number of times and moves relatively by x value (x axis) and y value (y axis)
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
\subsection{Detector settings}
|
|
||||||
Advanced settings changing the analog or digital performance of the acquisition. Use them only if you are sure of what you are doing!
|
|
||||||
|
|
||||||
\begin{description}
|
|
||||||
\item[vthreshold n] Sets the DAC value of the detector threshold to n.
|
|
||||||
\item[vcalibration n] Sets the DAC value of the calibration pulse amplitude to n.
|
|
||||||
\item[vtrimbit n] Sets the DAC value defining the trimbits LSB size to n.
|
|
||||||
\item[vpreamp n] Sets the DAC value of the preamp feedback to n.
|
|
||||||
\item[vshaper1 n] Sets the DAC value of the shaper1 feedback to n.
|
|
||||||
\item[vshaper2 n] Sets the DAC value of the shaper2 feedback to n.
|
|
||||||
\item[highvoltage n] Sets the DAC value of the high voltage to n (in V).
|
|
||||||
\item[vapower n] CHIPTEST BOARD ONLY - Sets the DAC value of the analog voltage to n.
|
|
||||||
\item[vddpower n] CHIPTEST BOARD ONLY - Sets the DAC value of the analog voltage to n.
|
|
||||||
\item[vshpower n] CHIPTEST BOARD ONLY - Sets the comparator power supply in dac units (0-1024).
|
|
||||||
\item[viopower n] CHIPTEST BOARD ONLY - Sets the FPGA I/O power supply in dac units (0-1024).
|
|
||||||
\item[vref\_ds n] Sets vrefds
|
|
||||||
\item[vcascn\_pb n] Sets vcascn\_pb
|
|
||||||
\item[vcascp\_pb n] Sets vcascp\_pb
|
|
||||||
\item[vout\_cm n] Sets vout\_cm
|
|
||||||
\item[vcasc\_out n] Sets vcasc\_out
|
|
||||||
\item[vin\_cm n] Sets vin\_cm
|
|
||||||
\item[vref\_comp n] Sets vref\_comp
|
|
||||||
\item[ib\_test\_c n] Sets ib\_test\_c
|
|
||||||
\item[vsvp n] Sets vsvp DAC to n
|
|
||||||
\item [vsvn n] Sets vsvn DAC to n
|
|
||||||
\item [vtr n] Sets vtr DAC to n
|
|
||||||
\item [vrf n] Sets vrf DAC to n
|
|
||||||
\item [vrs n] Sets vrs DAC to n
|
|
||||||
\item [vtgstv n] Sets vtgstv DAC to n
|
|
||||||
\item[vcmp\_ll n] Sets vcmp\_ll DAC to n
|
|
||||||
\item [vcmp\_lr n] Sets vcmp\_lr DAC to n
|
|
||||||
\item [vcmp\_rl n] Sets vcmp\_rl DAC to n
|
|
||||||
\item [vcmp\_rr n] Sets vcmp\_rr DAC to n
|
|
||||||
\item [vcall n] Sets vcall DAC to n
|
|
||||||
\item [rxb\_rb n] Sets rxb\_rb DAC to n
|
|
||||||
\item [rxb\_lb n] Sets rxb\_rb DAC to n
|
|
||||||
\item [vcp n] Sets vcp DAC to n
|
|
||||||
\item [vcn n] Sets vcn DAC to n
|
|
||||||
\item [vis n] Sets vis DAC to n
|
|
||||||
\item [iodelay n] Sets iodelay to n
|
|
||||||
%\item[temp\_adc n] Sets
|
|
||||||
%\item[temp\_fpga n]
|
|
||||||
\item[reg a d] Write to register of address a the data d
|
|
||||||
\item[clkdivider n] Sets the clock divider for the readout. Can be increased for longer cables. For \E options are 0 (full speed), 1 (half speed), 2 (quarter speed), and 3 (slow).
|
|
||||||
\item[setlength n] Changes the length of the set/reset signals in the acquisition. Never reduce it!
|
|
||||||
\item[waitstates n] Sets the wait states for CPU/FPGA communication. Do not change it!
|
|
||||||
\item[totdivider n] Sets the tot clock divider.
|
|
||||||
\item[totdutycycle n] Sets the tot duty cycle.
|
|
||||||
\item[setup s] Loads the setup files to the detector (config, parameters, trimbits etc.).
|
|
||||||
\item[trimbits fn] Loads the trimbit files fn.snxxx to the detector
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
|
|
||||||
\subsection{Debug}
|
|
||||||
\begin{description}
|
|
||||||
\item[digibittest i] only for GOTTHARD. If i=1, the acquisition will return a unique channel identifier, instead of data, if i=0 normal acquisition.
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
|
|
||||||
\section{Retrieving detector parameters}
|
|
||||||
|
|
||||||
|
|
||||||
\verb=sls\_detector\_get [j-][i:]var [arg]=\\
|
|
||||||
|
|
||||||
is used to retrieve the detector parameters \verb=var=.\\
|
|
||||||
For some commands, an additional argument \verb=arg= is needed.
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\subsection{Standard commands}
|
|
||||||
All the commends return two strings, where string1 is the command, string2 is teh actual returned string.
|
|
||||||
|
|
||||||
\begin{description}
|
|
||||||
\item[config fname]
|
|
||||||
Dumps the current configuration of the detector to the file fname.
|
|
||||||
\item[parameters fname]
|
|
||||||
Dumps the current acquisition parameters of the detector to the file fname.
|
|
||||||
\item[settings]
|
|
||||||
Returns the current settings of the detector. Returns a string
|
|
||||||
|
|
||||||
\item[threshold]
|
|
||||||
For photon counting detectors, returns the detector threshold in eV, -1 if undefined. Returns ``threshold value\_in\_eV''. If it fails, the returned threshold is the old set value.
|
|
||||||
|
|
||||||
\item[timing]
|
|
||||||
Returns the acquisition timing mode of the detector.
|
|
||||||
Refer to the detailed documentation to understand how the different timing modes work.
|
|
||||||
\item[outdir]
|
|
||||||
Returns the path where the output files are saved to.
|
|
||||||
\item[fname]
|
|
||||||
Returns the prefix of the file name for the data output.
|
|
||||||
\item[enablefwrite] Returns if data are written to file (1) or not (0).
|
|
||||||
\item[exptime]
|
|
||||||
Returns the exposure time of a single acquisition in seconds. Example: "exptime 1.000000000''
|
|
||||||
Refer to detailed documentation to understand how the different timing modes work.
|
|
||||||
\item[period]
|
|
||||||
Returns the frames period (in s). Example: ``period 1.000000000''
|
|
||||||
Refer to detailed documentation to understand how the different timing modes work.
|
|
||||||
\item[delay]
|
|
||||||
Returns the delay after trigger in triggered mode (in s).
|
|
||||||
Refer to detailed documentation to understand how the different timing modes work.
|
|
||||||
\item[gates]
|
|
||||||
Returns the number of gates per frame in gated (stroboscopic) mode.
|
|
||||||
Refer to detailed documentation to understand how the different timing modes work.
|
|
||||||
\item[frames]
|
|
||||||
Returns the number of frames acquired sequentially per cycle (e.g. after each trigger), with the exposure time defined by exptime and the period defined by period (unless in gated mode). Returned as a string to be interpreted as an integer ``frames integer''
|
|
||||||
Note that the total number of images is frames times triggers.
|
|
||||||
Refer to detailed documentation to understand how the different timing modes work.
|
|
||||||
\item[triggers n]
|
|
||||||
Returns the number of triggers (e.g. number of triggers). Returned as atring to be interpreted as an integer ``triggers integer''
|
|
||||||
Note that the total number of images is frames times triggers.
|
|
||||||
Refer to detailed documentation to understand how the different timing modes work.
|
|
||||||
\item[probes] Returns the number of probes to accumulate for stroboscopic measurements.
|
|
||||||
Refer to detailed documentation to understand how the different timing modes work.
|
|
||||||
\item[measurements] Returns the number of repetitions of the acquisitions (non real time!).
|
|
||||||
Refer to detailed documentation to understand how the different timing modes work.
|
|
||||||
\item[dr] Returns the dynamic range n (in bits) of the data for a photon counting detector. Returns a string that should be interpreted as an integer.
|
|
||||||
|
|
||||||
\item[flags s] Returns the flags set for your detector.
|
|
||||||
\item[help cmd] Returns the help for command cmd.
|
|
||||||
\item[lock] Returns if the detector is locked to a single PC.
|
|
||||||
\item[lastclient] Returns the last client which has connected to the detector.
|
|
||||||
\item[nmod n] Returns the number of modules which are read out. Will be replaced by ROI.
|
|
||||||
\item[maxmod] Returns the maximum number of modules (size) of the detector. Will be replaced by size.
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\subsection{Postprocessing commands}
|
|
||||||
\begin{description}
|
|
||||||
\item[flatfield] Returns the flat field file name.
|
|
||||||
\item[ratecorr] Returns the dead time used for rate corrections.
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
|
|
||||||
\subsubsection{Angular conversion}
|
|
||||||
|
|
||||||
\begin{description}
|
|
||||||
\item[fineoff] Returns the fine offset used to convert channel number to angles
|
|
||||||
\item[samplex] Returns the sample displacement from the center of the diffractometerin the X-ray direction, to improve angular conversion (unused).
|
|
||||||
\item[sampley] Returns the sample displacement from the center of the diffractometer in the ortogonal direction, to improve angular conversion (unused)
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
\subsection{Acquisition}
|
|
||||||
See SLS Detectors Documentation for a detailed description of the acquisition flow.
|
|
||||||
\begin{description}
|
|
||||||
\item[positions] Returns the number of positions n and their value.
|
|
||||||
\item[startscript] Returns the script to be executed at the beginning of each measurement.
|
|
||||||
\item[startscriptpar] Returns the parameter to be passed to the start script
|
|
||||||
\item[stopscript] Returns the script to be executed at the end of each measurement.
|
|
||||||
\item[stopscriptpar] Returns the parameter to be passed to the stop script.
|
|
||||||
\item[scriptbefore] Returns the script to be executed before each acquisition.
|
|
||||||
\item[scriptbeforepar] Returns the parameter to be passed to the script before.
|
|
||||||
\item[scriptafter] Returns the script to be executed after each acquisition.
|
|
||||||
\item[scriptafterpar] Returns the parameter to be passed to the script after.
|
|
||||||
\item[headerbefore] Returns the script to be executed to acquire the header of the acquisition.
|
|
||||||
\item[headerbeforepar] Returns the parameter to be passed to the header before.
|
|
||||||
\item[headerafter] Returns the script to be executed to append to the header of the acquisition.
|
|
||||||
\item[headerafterpar] Returns the parameter to be passed to the header after.
|
|
||||||
\item[scan0scripts] Returns the script to execute at scan 0 level.
|
|
||||||
\item[scan0par] Returns a parameter to be passed to the scan 0 level script.
|
|
||||||
\item[scan0prec] Returns the number of decimal digits for the scan0 level parameter in the file name (default is 0).
|
|
||||||
\item[scan0steps] Returns the number of scan 0 level steps n and their value.
|
|
||||||
\item[scan0range] Same as scan0steps.
|
|
||||||
\item[scan1script] Returns the script to execute at scan 1 level.
|
|
||||||
\item[scan1par] Returns a parameter to be passed to the scan 1 level script.
|
|
||||||
\item[scan1prec] Returns the number of decimal digits for the scan1 level parameter in the file name (default is 0).
|
|
||||||
\item[scan1steps] Returns the number of scan 0 level steps n and their value.
|
|
||||||
\item[scan1range] Same as scan1steps.
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
\subsection{Debug}
|
|
||||||
Commands to be used to retrieve information about the detector version or perform tests.
|
|
||||||
\subsubsection{Version}
|
|
||||||
\begin{description}
|
|
||||||
\item[moduleversion[:i]] Returns the version of the module firmware.
|
|
||||||
\item[detectornumber] Returns the serial number of the module (normally the MAC address).
|
|
||||||
\item[modulenumber[:i]] Returns the serial number of the module i.
|
|
||||||
\item[detectorversion] Returns the version of the controller firmware.
|
|
||||||
\item[softwareversion] Returns the version of the software running on the detector.
|
|
||||||
\item[thisversion] Returns the version of the control software which is being used.
|
|
||||||
\item[detectorsvnversion] Returns the SVN version of the software on the detector.
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
\subsubsection{Tests}
|
|
||||||
|
|
||||||
\begin{description}
|
|
||||||
\item[digitest[:i]] Makes a digital test of module i. Afterwards the detector must be reconfigured for the acquisition (settings, threshold, exptime, dr, frames etc.). Returns 0 if succeeded, otherwise an error mask.
|
|
||||||
\item[bustest] Makes a digital test of the communication between CPU and FPGA. Returns 0 if succeeded, otherwise the number of errors.
|
|
||||||
%\item[digibittest] GOTTHARD?!?!??!
|
|
||||||
%\item[acqtest] GOTTHARD?!?!??!
|
|
||||||
%\item[test] GOTTHARD?!?!??!
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\subsection{Advanced commands}
|
|
||||||
|
|
||||||
|
|
||||||
\subsubsection{Calibration}
|
|
||||||
This operations should be performed only rarely to configure the detector
|
|
||||||
|
|
||||||
\begin{description}
|
|
||||||
\item[encallog] returns whether the logging for energy calibration is enabled.
|
|
||||||
\item[angcallog] returns whether the logging for angular calibration is enabled.
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\subsubsection{Acquisition commands}
|
|
||||||
|
|
||||||
It is normally recommended to use \verb=sls\_detector\_acquire [j-]=, which takes care of everything
|
|
||||||
\begin{description}
|
|
||||||
\item[acquire] Same as \verb=sls\_detector\_acquire=
|
|
||||||
\item[data] Gets, saves and processes all data stored on the detector, if any.
|
|
||||||
\item[frame] Gets, saves and processes one frame stored on the detector, if any in a Firt-In/First-Out mode.
|
|
||||||
\item[status] Returns the detector status - can be: running, error, transmitting, finished, waiting or idle
|
|
||||||
\item[online] Returns whether the detector is in online or offline mode.
|
|
||||||
\item[checkonline] Returns whether the detector is in online or offline mode.
|
|
||||||
\item[readctr i fname] GOTTHARD related - reads counter in detector to file fname, restarts acquisition if i=1
|
|
||||||
%\item[resetctr i] GOTTHARD- ADVANCED- resets counter in detector, restarts acquisition if i=1
|
|
||||||
\item[exptimel] Returns the exposure time left for the current frame.
|
|
||||||
\item[periodl] Returns the period left for the current frame.
|
|
||||||
\item[delayl] Returns the delay after trigger left for the current frame.
|
|
||||||
\item[gatesl] Returns the number of gates left for the current frame.
|
|
||||||
\item[framesl] Returns the number of frames left for the current cycle.
|
|
||||||
\item[triggersl] Returns the number of triggers left for the current acquisition.
|
|
||||||
\item[now] Returns the current timestamp of the detector clock.
|
|
||||||
\item[timestamp] Returns the timestamp of the acquisitions in a First-In/First-Out mode i.e. every time it is called it returns the timestamp of the first acquisition start of readout. The FIFO is reset everytime the acquisition is started.
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\subsubsection{Configuration}
|
|
||||||
Advanced commands to configure the detector system. Should be left to the configuration file
|
|
||||||
\begin{description}
|
|
||||||
\item[type] Returns the types of detector controllers in the system.
|
|
||||||
\item[hostname] Returns the hostnames or IP addresses for the detector
|
|
||||||
\item[d:extsig:i] Returns the usage of the external IO signal i of the controller d.
|
|
||||||
\item[master] Returns the master of the acquisition in a multicontroller detector. -1 is none.
|
|
||||||
\item[sync] Returns the synchronization mode of the various controller within a detector structure.
|
|
||||||
\item[trimdir] Same ad settingsdir.
|
|
||||||
\item[settingsdir] Returns the path of the directory where the trim/settings files are stored.
|
|
||||||
\item[caldir] Returns the path of the directory where the calibration files are stored.
|
|
||||||
\item[trimen n e1 e2 ...en] Unused. Returns the list of energies for which trimfiles exist.
|
|
||||||
\item[port] Returns the port used by the sockets to control the detector.
|
|
||||||
\item[stopport]Returns the port used by the sockets to stop/get the status of the detector.
|
|
||||||
%\item[add s] Avoid using it. Adds the controller s to the detector structure.
|
|
||||||
%\item[remove i] Avoid using it. Removes the controller in position i from the detector structure.
|
|
||||||
\item[id[:i]] returns the id of the detector structure. i is the detector position in a multi detector system
|
|
||||||
\item[free] Avoid using it. Frees the shared memory.
|
|
||||||
\end{description}
|
|
||||||
Settable communication parameters:
|
|
||||||
\begin{description}
|
|
||||||
\item[txndelay\_left] \E advanced: Set transmission delay of sending the left port frame
|
|
||||||
\item[txndelay\_right] \E advanced: Set transmission delay of sending the right port frame
|
|
||||||
\item[txndelay\_frame] \E advanced: Set transmission delay of sending the entire frame In addition to left and right. This value has to be greater than the maximum of the transmission delays of each port.
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
|
|
||||||
\subsubsection{Receiver - GOTTHARD only}
|
|
||||||
\begin{description}
|
|
||||||
%\item[receiverip] Returns receiver ip.
|
|
||||||
%\item[receivermac]Returns the receiver mac.
|
|
||||||
%\item[servermac] Returns the server mac.
|
|
||||||
%\item[dataport] Returns the communication port to the receiver.
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\item[detectormac] returns the mac of the detector udp interface to mac (if configurable). Should be left to the configuration file.
|
|
||||||
\item[rx\_tcpport] returns the communication port between client and receiver. Should be left to the configuration file.
|
|
||||||
\item[rx\_udpport] returns the communication port between detector and receiver. Should be left to the configuration file.
|
|
||||||
\item[rx\_hostname] returns the hostname (or IP address) of the receiver for the TCP/IP interface with the client.
|
|
||||||
\item[rx\_udpip] returns the IP address of the receiver for the UDP interface with the detector.
|
|
||||||
|
|
||||||
\item[r\_online b] Returns whether the receiver in online (1) or offline (0) mode.
|
|
||||||
\item[r\_checkonline] Returns whether the receiver in online (1) or offline (0) mode.
|
|
||||||
\item[framescaught] Returns the number of frames received. Returns: "framescaught n''
|
|
||||||
\item[resetframescaught n] Sets the number of frames received to 1
|
|
||||||
\item[frameindex] Returns the index of the last frame received.
|
|
||||||
\item[r\_lock] Returns whether the receiver is locked (1) or unlocked (0).
|
|
||||||
\item[r\_lastclient] Returns the IP of the last client which connected to the receiver.
|
|
||||||
%\item[receiver s ] starts/stops the receiver to listen to detector packets. - can be start or stop
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
\subsubsection{Postprocessing}
|
|
||||||
Some advanced commands to configure data postprocessing.
|
|
||||||
\begin{description}
|
|
||||||
\item[ffdir] Returns the directory where the flat field files are stored.
|
|
||||||
\item[darkimage fname] GOTTHARD- ADVANCED- Returns the dark image file for the detector.
|
|
||||||
\item[gainimage fname] GOTTHARD- ADVANCED- Returns gain image file for the detector.
|
|
||||||
\item[badchannels fname] Returns bad channel file to fname.
|
|
||||||
\item[threaded b] Returns whether the data are written to disk in parallel with the acquisition (1) or after the acquisition (0).
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
|
|
||||||
\textbf{Angular conversion}
|
|
||||||
|
|
||||||
\begin{description}
|
|
||||||
\item[globaloff] Returns the offset of the beamline i.e. angular position of channel 0 when angular encoder at 0.
|
|
||||||
\item[angconv] Returns the file used for the coefficients for angular conversion.
|
|
||||||
\item[binsize] Returns the size of the angular bins for angular conversion.
|
|
||||||
\item[angdir] Returns the angular direction of the detector (1 means channel number in the same direction as the angular encoder, -1 different direction).
|
|
||||||
\item[d:moveflag] Related to a single controller d. Returns 1 if the detector modules move with the angular encoder, 0 if they are static (useful for multidetector systems).
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\subsection{Detector settings}
|
|
||||||
Advanced settings changing the analog or digital performance of the acquisition. Use them only if you are sure of what you are doing!
|
|
||||||
|
|
||||||
\begin{description}
|
|
||||||
\item[vthreshold] Returns the DAC value of the detector threshold to n.
|
|
||||||
\item[vcalibration] Returns the DAC value of the calibration pulse amplitude to n.
|
|
||||||
\item[vtrimbit] Returns the DAC value defining the trimbits LSB size to n.
|
|
||||||
\item[vpreamp] Returns the DAC value of the preamp feedback to n.
|
|
||||||
\item[vshaper1] Returns the DAC value of the shaper1 feedback to n.
|
|
||||||
\item[vshaper2] Returns the DAC value of the shaper2 feedback to n.
|
|
||||||
\item[highvoltage] Returns the DAC value of the high voltage to n.
|
|
||||||
\item[vapower] CHIPTEST BOARD ONLY - Returns the DAC value of the analog voltage to n.
|
|
||||||
\item[vddpower] CHIPTEST BOARD ONLY - Returns the DAC value of the analog voltage to n.
|
|
||||||
\item[vshpower] CHIPTEST BOARD ONLY - Returns the comparator power supply in dac units (0-1024).
|
|
||||||
\item[viopower] CHIPTEST BOARD ONLY - Returns the FPGA I/O power supply in dac units (0-1024).
|
|
||||||
\item[vref\_ds] Returns vrefds
|
|
||||||
\item[vcascn\_pb] Returns vcascn\_pb
|
|
||||||
\item[vcascp\_pb] Returns vcascp\_pb
|
|
||||||
\item[vout\_cm] Returns vout\_cm
|
|
||||||
\item[vcasc\_out] Returns vcasc\_out
|
|
||||||
\item[vin\_cm] Returns vin\_cm
|
|
||||||
\item[vref\_comp] Returns vref\_comp
|
|
||||||
\item[ib\_test\_c] Returns ib\_test\_c
|
|
||||||
\item[vsvp] Returns vsvp
|
|
||||||
\item [vsvn] Returns vsvn
|
|
||||||
\item [vtr] Returns vtr trim strength (\E)
|
|
||||||
\item [vrf] Returns vrf preamp gain (\E)
|
|
||||||
\item [vrs] Returns vrs shaper gain (\E)
|
|
||||||
\item [vtgstv] Returns vtgstv (\E)
|
|
||||||
\item[vcmp\_ll] Returns vcmp\_ll (\E) leftmost chip theshold
|
|
||||||
\item [vcmp\_lr] Returns vcmp\_lr (\E) second to leftmost chip theshold
|
|
||||||
\item [vcmp\_rl] Returns vcmp\_rl (\E) second to rightmost chip theshold
|
|
||||||
\item [vcmp\_rr] Returns vcmp\_rr (\E) rightmost chip theshold
|
|
||||||
\item [vcall] Returns vcall calibration stength (\E)
|
|
||||||
\item [rxb\_rb] Returns rxb\_rb rightmost chip value to decode 0-1 in the readout
|
|
||||||
\item [rxb\_lb] Returns rxb\_lb leftmost chip value to decode 0-1 in the readout
|
|
||||||
\item [vcp] Returns vcp cascode p value (\E)
|
|
||||||
\item [vcn] Returns vcn cascode n value (\E)
|
|
||||||
\item [vis] Returns vis shaper current (\E)
|
|
||||||
\item [iodelay] Returns iodelay
|
|
||||||
\item[temp\_adc] Returns the temperature of the ADCs
|
|
||||||
\item[temp\_fpga] Returns the temperature of the FPGA.
|
|
||||||
\item[temp\_fpgaext] Returns the temperature close to the fpga (\E).
|
|
||||||
\item[temp\_10ge] Returns the temperature close to the 10GE (\E).
|
|
||||||
\item[temp\_dcdc] Returns the temperature close to the dc dc converter (\E).
|
|
||||||
\item[temp\_sodl] Returns the temperature close to the left so-dimm memory (\E).
|
|
||||||
\item[temp\_sodr] Returns the temperature close to the right so-dimm memory (\E).
|
|
||||||
\item[temp\_fpgafl] Returns the temperature of the left front end board fpga (\E).
|
|
||||||
\item[temp\_fpgafr] Returns the temperature of the right front end board fpga (\E).
|
|
||||||
|
|
||||||
\item[reg a] Write to register of address a the data d
|
|
||||||
\item[clkdivider] Returns the clock divider for the readout.
|
|
||||||
\item[setlength] Returns the length of the set/reset signals in the acquisition.
|
|
||||||
\item[waitstates] Returns the wait states for CPU/FPGA communication.
|
|
||||||
\item[totdivider] Returns the tot clock divider.
|
|
||||||
\item[totdutycycle] Returns the tot duty cycle.
|
|
||||||
\item[setup] Dumps all settings to file (config, parameters, trimbits etc.).
|
|
||||||
\item[trimbits fn] Dumps the trimbits to the file files fn.snxxx
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
|
|
||||||
\section{Usage}
|
|
||||||
|
|
||||||
\subsection{Mandatory setup}
|
|
||||||
First, your detector should always be configured for each PC that you might want to use for controlling the detector.
|
|
||||||
To do that:
|
|
||||||
\begin{verbatim}
|
|
||||||
sls_detector_put config mydetector.config
|
|
||||||
\end{verbatim}
|
|
||||||
Refer to sample configuration files to produce the appropriate one for your detector.
|
|
||||||
|
|
||||||
One can configure all the detector settings in a parameter file {\tt{setup.det}}, which is loaded by doing:
|
|
||||||
\begin{verbatim}
|
|
||||||
sls_detector_put parameters setup.det
|
|
||||||
\end{verbatim}
|
|
||||||
|
|
||||||
In the case of \E, the parameter file ({\tt{setup.det}} needs to setup the proper bias voltage of the sensor, i.e. needs to contain the line {\tt{highvoltage 150}}.
|
|
||||||
|
|
||||||
\subsection{Standard acquisition}
|
|
||||||
|
|
||||||
You will then need to setup the detector threshold and settings, the exposure time, the number of real time frames and eventually how many real time frames should be acquired:
|
|
||||||
\begin{verbatim}
|
|
||||||
sls_detector_put settings standard
|
|
||||||
sls_detector_put threshold 6000
|
|
||||||
sls_detector_put exptime 1.
|
|
||||||
sls_detector_put frames 10
|
|
||||||
\end{verbatim}
|
|
||||||
In this case 10 consecutive 1s frames will be acquired.
|
|
||||||
|
|
||||||
You need to setup where the files will be written to
|
|
||||||
\begin{verbatim}
|
|
||||||
sls_detector_put outdir /scratch
|
|
||||||
sls_detector_put fname run
|
|
||||||
sls_detector_put index 0
|
|
||||||
\end{verbatim}
|
|
||||||
this way your files will all be named /scratch/run\_fj\_i.dat where j goes between 0 and 9 and is relative to the frame number, i starts from 0 and is automatically incremented. The next acquisition it will be 1.
|
|
||||||
|
|
||||||
|
|
||||||
To acquire simply type
|
|
||||||
\begin{verbatim}
|
|
||||||
sls_detector_acquire
|
|
||||||
\end{verbatim}
|
|
||||||
|
|
||||||
|
|
||||||
You can poll the detector status using
|
|
||||||
\begin{verbatim}
|
|
||||||
sls_detector_get status
|
|
||||||
\end{verbatim}
|
|
||||||
|
|
||||||
|
|
||||||
\subsection{Data processing}
|
|
||||||
Flat field and rate corrections can be applied directly by simply selecting:
|
|
||||||
\begin{verbatim}
|
|
||||||
sls_detector_put flatield myflatfield.raw
|
|
||||||
sls_detector_put ratecorr -1
|
|
||||||
\end{verbatim}
|
|
||||||
|
|
||||||
|
|
||||||
\end{document}
|
|
||||||
|
|
||||||
Binary file not shown.
|
Before Width: | Height: | Size: 11 KiB |
Binary file not shown.
|
Before Width: | Height: | Size: 167 KiB |
@ -1,53 +0,0 @@
|
|||||||
DESTDIR?=../docs
|
|
||||||
|
|
||||||
|
|
||||||
#manual-api manual-calwiz manual-client manual-gui manual-main
|
|
||||||
|
|
||||||
|
|
||||||
TEX=latex
|
|
||||||
|
|
||||||
MAINTEXS= slsDetectorGuiHowTo.tex
|
|
||||||
|
|
||||||
|
|
||||||
DVIS = $(MAINTEXS:.tex=.dvi)
|
|
||||||
PSS = $(MAINTEXS:.tex=.ps)
|
|
||||||
PDFS = $(MAINTEXS:.tex=.pdf)
|
|
||||||
HTMLS = $(MAINTEXS:%.tex=%)
|
|
||||||
|
|
||||||
|
|
||||||
all: pdf html
|
|
||||||
echo $(PWD)
|
|
||||||
echo $(PDFS)
|
|
||||||
echo $(HTMLS)
|
|
||||||
|
|
||||||
pdf: $(PDFS)
|
|
||||||
$(shell test -d $(DESTDIR) || mkdir -p $(DESTDIR))
|
|
||||||
$(shell test -d $(DESTDIR)/pdf || mkdir -p $(DESTDIR)/pdf)
|
|
||||||
mv $(PDFS) $(DESTDIR)/pdf
|
|
||||||
|
|
||||||
html: $(HTMLS)
|
|
||||||
|
|
||||||
$(HTMLS): $(MAINTEXS)
|
|
||||||
$(shell test -d $(DESTDIR) || mkdir -p $(DESTDIR))
|
|
||||||
$(shell test -d $(DESTDIR)/html || mkdir -p $(DESTDIR)/html)
|
|
||||||
$(shell test -d $(DESTDIR)/html/$@ && rm -r $(DESTDIR)/html/$@)
|
|
||||||
latex $@.tex
|
|
||||||
latex2html -split 4 $@.tex
|
|
||||||
mv $@ $(DESTDIR)/html
|
|
||||||
|
|
||||||
%.dvi : %.tex $(TEXS)
|
|
||||||
latex $<
|
|
||||||
latex $<
|
|
||||||
|
|
||||||
%.ps : %.dvi
|
|
||||||
dvips -o $@ $<
|
|
||||||
|
|
||||||
|
|
||||||
%.pdf : %.ps
|
|
||||||
ps2pdf $< $@
|
|
||||||
|
|
||||||
|
|
||||||
clean:
|
|
||||||
rm -rf *.aux *.log *.toc *.out $(DVIS) $(PSS) $(PDFS) $(HTMLS)
|
|
||||||
rm -rf $(DESTDIR)/html/slsDetectorGuiHowTo
|
|
||||||
rm -rf $(DESTDIR)/pdf/slsDetectorGuiHowTo.pdf
|
|
||||||
@ -1,59 +0,0 @@
|
|||||||
The slsDetectorGUI is based on Qt4 with Qwt libraries.
|
|
||||||
|
|
||||||
-Qt4.6 installation:
|
|
||||||
|
|
||||||
Download the opend source version:
|
|
||||||
ftp://ftp.qt.nokia.com/qt/source/qt-everywhere-opensource-src-4.6.2.tar.gz
|
|
||||||
|
|
||||||
To install:
|
|
||||||
gunzip qt-everywhere-opensource-src-4.6.2.tar.gz
|
|
||||||
tar xvf qt-everywhere-opensource-src-4.6.2.tar
|
|
||||||
./configure
|
|
||||||
make
|
|
||||||
make install
|
|
||||||
|
|
||||||
By default Qt4 will be installed int /usr/local/Trolltech/Qt-4.6.2/
|
|
||||||
Edit your .bashrc:
|
|
||||||
export QTDIR=/usr/local/Trolltech/Qt-4.6.2
|
|
||||||
export PATH=$QTDIR/bin:$PATH
|
|
||||||
export LD_LIBRARY_PATH=$QTDIR/lib:$LD_LIBRARY_PATH
|
|
||||||
|
|
||||||
If your system also have Qt3 installed, make sure that QTDIR, PATH and LD_LIBRARY_PATH point to Qt4 before installing Qwt (and of course compiling and running the GUI).
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
- Qwt5.2 installation
|
|
||||||
|
|
||||||
Download the sources:
|
|
||||||
svn co https://qwt.svn.sourceforge.net/svnroot/qwt/branches/qwt-5.2
|
|
||||||
|
|
||||||
To install:
|
|
||||||
cd qwt-5.2
|
|
||||||
qmake
|
|
||||||
make
|
|
||||||
make install
|
|
||||||
|
|
||||||
By default Qwt will be installed in /usr/local/qwt-5.2.3-svn/
|
|
||||||
Edit your .bashrc:
|
|
||||||
export QWTDIR=/usr/local/qwt-5.2.3-svn/
|
|
||||||
export LD_LIBRARY_PATH=$QWTDIR/lib:$LD_LIBRARY_PATH
|
|
||||||
|
|
||||||
|
|
||||||
- The calibration wizards are based on the cern root software
|
|
||||||
|
|
||||||
Download the sources
|
|
||||||
svn co https://root.cern.ch/svn/root/trunk root
|
|
||||||
|
|
||||||
To install:
|
|
||||||
cd root
|
|
||||||
./configure --enable-qt
|
|
||||||
make
|
|
||||||
make install
|
|
||||||
|
|
||||||
edit your .bashrc:
|
|
||||||
export ROOTSYS=/usr/local/root
|
|
||||||
export PATH=$ROOTSYS/bin:$PATH
|
|
||||||
export LD_LIBRARY_PATH=$ROOTSYS/lib:$LD_LIBRARY_PATH
|
|
||||||
|
|
||||||
You can also download the binaries, assuming that your linuc and gcc versions match:
|
|
||||||
http://root.cern.ch/drupal/content/production-version-534
|
|
||||||
@ -1,522 +0,0 @@
|
|||||||
\documentclass{report}
|
|
||||||
\usepackage{amssymb}
|
|
||||||
\usepackage[dvips]{graphicx}
|
|
||||||
\usepackage{verbatim}
|
|
||||||
\begin{document}
|
|
||||||
|
|
||||||
\title{Mythen v3.0 manual}
|
|
||||||
\date{\today}
|
|
||||||
\maketitle
|
|
||||||
|
|
||||||
|
|
||||||
\chapter{Installation and upgrades}
|
|
||||||
|
|
||||||
The new MYTHEN software is intended to control the MCS mythen boards either by using a command line interface (text client) or by using with a graphical user interface (GUI).
|
|
||||||
|
|
||||||
Here you can find in brief the main things you need to know in order to start working with your detector.
|
|
||||||
|
|
||||||
\section{The software package}
|
|
||||||
|
|
||||||
The actual software for the Mythen II system (MCS1 to MCS24) runs on 32~bit Scientific Linux machines (SLC5 tested, gcc 4.1.2 but it should not be critical).
|
|
||||||
|
|
||||||
The complete software package is composed of several programs which can be instaleld (or locally compiled) depending on the needs:
|
|
||||||
\begin{itemize}
|
|
||||||
\item The \textbf{slsDetector shared and static libraries} which are necessary for all user interfaces and can be simply used for implementig custom detector drivers;
|
|
||||||
\item The \textbf{command line interface (slsDetectorClient) sls\_detector\_put, sls\_detector\_get, sls\_detector\_acquire} which is provided to communicate with the detectors;
|
|
||||||
\item A \textbf{virtual server mythenServer} which can be used to simulate the behavior of the detector for what concerns the communication in case the detector is not online or is in use.
|
|
||||||
\end{itemize}
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\section{Requirements}
|
|
||||||
|
|
||||||
For installing the slsDetector shared and static libraries and the slsDetectorClient software, any Linux installation with a working gcc should be fine.\\
|
|
||||||
|
|
||||||
|
|
||||||
\begin{comment}
|
|
||||||
For installing the TSlsDetector shared and static libraries and the mythenGUI, working installations of Qt and Root should be present on the PC.\\
|
|
||||||
|
|
||||||
A Qt version equal or higher to 3.3 (but lower than Qt4) should be installed on the PC. It can be downloaded from \\
|
|
||||||
\verb|http://www.trolltech.com/developer/downloads/qt/index| and the enviroment variable \verb|QTDIR| should be set to its path.
|
|
||||||
Qt should be compiled with the options \verb|-thread -no-xft -qt-gif -no-exceptions| (check in \textsf{\$QTDIR/config.status}). this is normally the default on SLC machines.
|
|
||||||
|
|
||||||
|
|
||||||
Also a \textsf{root} version higher than 5.15 but lower than 5.22 \textbf{with Qt support enabled} should be installed (the binaries can be downloaded from \verb|http://root.cern.ch| or compile with the option \verb|--enable-qt|) and the system variable \verb|ROOTSYS| should be set to its path. \\
|
|
||||||
Remember to check the in file \$ROOTSYS/etc/system.rootrc or in your own custom .rootrc the following options are correctly defined:
|
|
||||||
\begin{verbatim}
|
|
||||||
# GUI specific settings
|
|
||||||
Gui.Backend: qt
|
|
||||||
Gui.Factory: qt
|
|
||||||
\end{verbatim}
|
|
||||||
Further details can be found in the root user's manual at \verb|http://root.cern.ch/root/doc/RootDoc.html| in chapter 1 (Introduction), 26 (ROOT/Qt integration interfaces) and 28 (Install and Build ROOT).\\
|
|
||||||
|
|
||||||
\verb|ROOTSYS|/bin and \verb|QTDIR|/bin should be added to the \verb|PATH|;\\
|
|
||||||
\verb|ROOTSYS|/lib and \verb|QTDIR|/lib should be added to the \verb|LD_LIBRARY_PATH|~\footnote{In some linux installation there might be configuration scripts e.g in the directory \texttt{/etc/profile.d/} and \texttt{/etc/ld.so.conf.d/} overwriting this variables, so check that the installations correspond. If you have already used other Qt or Root versions, it might be that the old libraries are loaded in cache. To delete the chache, remove the file \texttt{/etc/ld.so.cache} and run \texttt{.....} this is always a problem!!!!}.\\
|
|
||||||
|
|
||||||
As an example, we suggest to add the following lines to your \verb|.bashrc| or \verb|.profile| file (changing \verb|QTDIR| and \verb|ROOTSYS| accordingly):
|
|
||||||
\begin{verbatim}
|
|
||||||
export ROOTSYS=/local/root
|
|
||||||
export QTDIR=/local/qt
|
|
||||||
|
|
||||||
export PATH=$QTDIR/bin:$ROOTSYS/bin::$PATH
|
|
||||||
export LD_LIBRARY_PATH=$QTDIR/lib:$ROOTSYS/lib:$LD_LIBRARY_PATH
|
|
||||||
export MANPATH=$QTDIR/doc/man/usr/local/man:$MANPATH
|
|
||||||
\end{verbatim}
|
|
||||||
\end{comment}
|
|
||||||
|
|
||||||
\section{Compilation}
|
|
||||||
If you simply want to install the software in the working directory you can:
|
|
||||||
\begin{itemize}
|
|
||||||
\item \verb=make lib= compile slsDetector library
|
|
||||||
%\item \verb=make tlib= compile Root/Qt TSlsDetector library
|
|
||||||
\item \verb=make slsDetectorClient= compile slsDetectorClient package
|
|
||||||
%\item \verb=make mythenGUI= compile mythenGUI
|
|
||||||
%\item \verb=make all= compile slsDetector and TSlsDetector libraries, the mythenClient package and the mythenGUI
|
|
||||||
\item \verb=make all= compile slsDetector libraries, the slsDetectorClient package
|
|
||||||
\item \verb=make clean= remove object files and executables
|
|
||||||
\item \verb=make help= lists possible targets
|
|
||||||
\end{itemize}
|
|
||||||
|
|
||||||
To be able to run the slsDetectorClient commands, add their location to your path.
|
|
||||||
|
|
||||||
|
|
||||||
\section{Building}
|
|
||||||
To install the software you should first configure some enviroment variables by executing:
|
|
||||||
\begin{verbatim}
|
|
||||||
> source configure
|
|
||||||
\end{verbatim}
|
|
||||||
(NOT \verb=>./configure= otherwise the enviroment variables will not be available for the \verb=make= command).
|
|
||||||
This allows you to configure:
|
|
||||||
\begin{itemize}
|
|
||||||
%\item \textbf{QTDIR} i.e. the Qt installation directory. Ignore if you don't want to install the GUI, otherwise it should be defined in your \verb=.bashrc= and added to \verb=PATH= and \verb=LD_LIBRARY_PATH=
|
|
||||||
%\item \textbf{ROOTSYS} i.e. the Root installation directory. Ignore if you don't want to install the GUI, otherwise it should be defined in your \verb=.bashrc= and added to \verb=PATH= and \verb=LD_LIBRARY_PATH=
|
|
||||||
\item \textbf{INSTALLROOT} Directory where you want to install the software. Defaults to /usr/local/
|
|
||||||
\item \textbf{BINDIR} Directory where you want to install the binaries. Defaults to bin/
|
|
||||||
\item \textbf{INCDIR} Directory where you want to pute the header files. Defaults to include/slsdetector/
|
|
||||||
\item \textbf{LIBDIR} Directory where you want to install the libraries. Defaults to lib/
|
|
||||||
\item \textbf{DOCDIR} Directory where you want to copy the documentation. Defaults to share/doc/
|
|
||||||
\end{itemize}
|
|
||||||
|
|
||||||
To build you can:
|
|
||||||
\begin{itemize}
|
|
||||||
\item \verb=make install_lib= install detector library and include files"
|
|
||||||
%\item \verb=make install_tlib= install detector Root/Qt library and include files"
|
|
||||||
\item \verb=make install_client= install slsDetectorClient
|
|
||||||
%\item \verb=make install_gui= install mythenGUI
|
|
||||||
%\item \verb=make install= install library, include files, mythenClient and mythenGUI"
|
|
||||||
\item \verb=make install= install library, include files and mythenClient''
|
|
||||||
\item \verb=make install_libdoc= install library documentation
|
|
||||||
\item \verb=make install_clientdoc= install mythenClient documentation
|
|
||||||
%\item \verb=make install_guidoc= install mythenGUI documentation
|
|
||||||
\item \verb=make install_doc= install all documentation
|
|
||||||
\item \verb=make help= lists possible targets
|
|
||||||
\end{itemize}
|
|
||||||
|
|
||||||
\section{Detector upgrade}
|
|
||||||
|
|
||||||
The upgrade of the detector consists in both the upgrade of the communication software and of the firmware.\\
|
|
||||||
|
|
||||||
To upgrade the firmware you need either a working version of the Altera Quartus software or of the Quartus programmer, which can easly be downloade from \\
|
|
||||||
\verb=https://www.altera.com/download/programming/quartus2/pq2-index.jsp= \\
|
|
||||||
Normally installation of the software and of the driver for the USB-Blaster (provided together with the MYTHEN detector) are simpler under Windows.\\
|
|
||||||
Under Windows, the first time that you connect the USB-Blasterto one of your USB ports, you will be asked to install new hardware. Set the path to search
|
|
||||||
for the driver to: \verb=C:\altera\80sp1\qprogrammer\drivers\usb-blasterp= (where \verb=C:\altera\80sp1\qprogrammer\= is assumed to be ther path where your Quartus version is installed).\\
|
|
||||||
\begin{enumerate}
|
|
||||||
\item After starting the Quartus programmer, click on Hardware Setup and in the "Currently selected hardware" window select USB-Blaster.
|
|
||||||
\item In the Mode combo box select "Active Serial Programming".
|
|
||||||
\item Plug the end of your USB-Blaster WITH THE ADAPTER PROVIDED in the connector ASMI on the MCS board taking care that pin1 corresponds to the one indexed and with the rectangualr pad.
|
|
||||||
\item Click on add file and from select the programming file provided when the upgrade has been reccomended.
|
|
||||||
\item Check "Program/Configure" and "Verify".
|
|
||||||
\item Push the start button and wait until the programming process is finished (progress bar top left).
|
|
||||||
\item In case the programmer gives you error messages, check the polarity of your cable (pin1 corresponds) and that you have selected the correct programming connector.
|
|
||||||
\end{enumerate}
|
|
||||||
|
|
||||||
To upgrade the software on the detector board transfer the provided software by ftp to the MCS:
|
|
||||||
\begin{verbatim}
|
|
||||||
ftp mymcs.mydomain.com
|
|
||||||
username: root
|
|
||||||
password: pass
|
|
||||||
cd /mnt/flash/root
|
|
||||||
put mythenDetectorServer
|
|
||||||
quit
|
|
||||||
\end{verbatim}
|
|
||||||
If the /mnt/flash/root directory does not exist, create it before the transfer by telnetting to the MCS.\\
|
|
||||||
After pressing reset on the board, the board should reboot.\\
|
|
||||||
If the program does not correctly start either check by using the http interface that it is started by the inittab (check that the file \verb=/mnt/etc/inittab= ends with the line \verb=myid2:3:once:/mnt/flash/root/mythenDetectorServer= ). \\
|
|
||||||
Otherwise make the program executable by telnetting to the MCS and executing:
|
|
||||||
\verb=chmod a+xrw /mnt/flash/root/mythenDetectorServer=\\
|
|
||||||
After pressing reset on the board, the board should reboot and the acqusition program correctly start.
|
|
||||||
|
|
||||||
\section{The trimbits and calibration files} \label{sec:trimdir}
|
|
||||||
In order to be able to properly operate your detector you need a directory where the trimbit files (needed to set the detector settings and eventually equalize the individual channel thresholds) which in the following will be named \textit{trimdir} and a directory where the calibration files (needed to convert the threshold energy in DAC units) are stored which in the following will be named \textit{caldir}.
|
|
||||||
\textit{trimdir} and \textit{caldir} can even be the same directory, and an example of it is given in the software package by the example directory \verb=trimbits=. \\
|
|
||||||
Since these directories are customized by producing trimbit files and calibration for each detector, make sure not to overwrite yours every time you upgrade the software.
|
|
||||||
|
|
||||||
\textit{trimdir} should contain three subdirectories \verb=standard=, \verb=fast= and \verb=highgain= containing respectively the trimfiles \verb=standard.trim=, \verb=fast.trim= and \verb=highgain.trim= which contain the correct voltage settings for the detector although all the individual channel thresholds set to 0. The original files contained in the package should be used, infact in case of error the detector would not recognize the correct settings.\\
|
|
||||||
The default trimbit files for each file will be stored in the directory according to the settings with the name \verb=noise.snxxx= where \verb=xxx= is the module serial number.\\
|
|
||||||
|
|
||||||
\textit{caldir} should contain three subdirectories \verb=standard=, \verb=fast= and \verb=highgain= containing respectively the trimfiles \verb=standard.cal=, \verb=fast.cal= and \verb=highgain.cal= which contain an average calibration of the modules for the diffrent settings. However this can different from the correct one for each individual module even of several kev and therefore it is very important to perform an energy calibration on a module basis (see section~\ref{sec:encal}).\\
|
|
||||||
The default calibration files for each file will be stored in the directory according to the settings with the name \verb=calibration.snxxx= where \verb=xxx= is the module serial number.
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\chapter{slsDetectorClient}
|
|
||||||
|
|
||||||
\section{Introduction}
|
|
||||||
|
|
||||||
This program is intended to control the MYTHEN detectors via command line interface.
|
|
||||||
|
|
||||||
To get all the possibilities of usage simply type:
|
|
||||||
\begin{description}
|
|
||||||
\item[sls\_detector\_acquire] to readout the detector at full speed
|
|
||||||
\item[sls\_detector\_put] to set detector parameters
|
|
||||||
\item[sls\_detector\_get] to retrieve detector parameters
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
There are different ways for communicationg with your detector(s).
|
|
||||||
\begin{itemize}
|
|
||||||
\item[multiDetector] is represented by a group of controllers which operate symultaneously with the same parameters. You can define several multiDetector systems and int this case you address them using different indexes. In this case the syntax will be \verb=sls\_detector\_cmd i-= where cmd can be acquire, put, get and i is the index of the multiDetector entity (if omitted defaults to 0 - standard usage). Normally it is handy to use the multiDetector structure also in case of single detectors. However in some cases one cannot avoid using the slsDetector structure for detailed configuration (e.g. meaning of external signals or other flags)
|
|
||||||
\item[slsDetector] is represented by a single controller. You can define several multiDetector systems and int this case you address them using different indexes. In this case the syntax will be \verb=sls\_detector\_cmd i:= where cmd can be acquire, put, get and i is the index of the slsDetector entity, which cannot be omitted. When creating the multiDetector structure, the indexes are automatically assigned to the detectors contained in it. You can retrieve the indexes relative to the slsDetector using: \verb=sls\_detector\_get hostname:pos, sls\_detector\_get id:pos= whic will return the hostname in position pos of your multiDetector structure (pos=0 in case of single detectors) and its index.
|
|
||||||
\end{itemize}
|
|
||||||
|
|
||||||
|
|
||||||
\section{Acquisition}
|
|
||||||
mythen\_acquire [id[-/:]]
|
|
||||||
|
|
||||||
the detector is started and the data are acquired, postprocessed and written to file according to the configuration
|
|
||||||
|
|
||||||
|
|
||||||
\section{Detector setup}
|
|
||||||
|
|
||||||
mythen\_put [id[:/-]]var arg
|
|
||||||
|
|
||||||
is used to configure the detector parameter var
|
|
||||||
e.g. mythen\_put 0:exptime 1 sets the exposure time to 1 s
|
|
||||||
|
|
||||||
\begin{description}
|
|
||||||
\item[help i] get help
|
|
||||||
\item[config fname] reads the configuration file specified and sets the values
|
|
||||||
\item[parameters fname] sets the detector parameters specified in the file
|
|
||||||
\item[setup rootname] reads the files specfied (and that could be created by get setup) and resets the complete detector configuration including flatfield corrections, badchannels, trimbits etc.
|
|
||||||
\item[hostname name] this is mandatory!!!! sets hostname (or IP adress)
|
|
||||||
\item[online b] b can be 0 or 1 and sets the detector in offline/online state. Must be used to restore communication if some socket called failed because the detector was not connected.
|
|
||||||
\item[status s] either start or stop
|
|
||||||
\item[caldir path] Sets path of the calibration files
|
|
||||||
\item[trimdir path] Sets path of the trim files
|
|
||||||
\item[outdir path] directory to which the files will be written by default
|
|
||||||
\item[fname name] filename to which the files will be written by default (to which file and position indexes will eventually be attached)
|
|
||||||
\item[index i] start index of the files (automatically incremented by the acquisition functions)
|
|
||||||
\item[nmod n] Sets number of detector modules
|
|
||||||
\item[extsig:i mode] Sets usage of the external digital signal i. mode can be: off, gate\_in\_active\_high, gate\_in\_active\_low, trigger\_in\_rising\_edge, trigger\_in\_falling\_edge, ro\_trigger\_in\_rising\_edge, ro\_trigger\_in\_falling\_edge, gate\_out\_active\_high, gate\_out\_active\_low, trigger\_out\_rising\_edge, trigger\_out\_falling\_edge, ro\_trigger\_out\_rising\_edge, ro\_trigger\_out\_falling\_edge
|
|
||||||
\item[timing] Sets the timing mode of the detector. Can be auto, gating (works only if at least one of the signals is configured as gate\_in), trigger (works only if at least one of the signals is configured as trigger\_in), ro\_trigger (works only if at least one of the signals is configured as ro\_trigger\_in), triggered\_gating (works only if one ofthe signals is configured as gate\_in and one as trigger\_in).
|
|
||||||
\item[settings sett] Sets detector settings. Can be: standard fast highgain (depending on trheshold energy and maximum count rate: please refere to manual for limit values!);
|
|
||||||
\item[threshold ev] Sets detector threshold in eV. Should be half of the beam energy. It is precise only if the detector is calibrated
|
|
||||||
\item[vthreshold dac] Sets detector threshold in DAC units. A very rough calibration is dac=800-10*keV
|
|
||||||
\item[exptime t] Sets the exposure time per frame (in s)
|
|
||||||
\item[period t] Sets the frames period (in s)
|
|
||||||
\item[delay t] Sets the delay after trigger (in s)
|
|
||||||
\item[gates n] Sets the number of gates per frame
|
|
||||||
\item[frames n] Sets the number of frames per cycle (e.g. after each trigger)
|
|
||||||
\item[triggers n] Sets the number of triggers (e.g. number of triggers)
|
|
||||||
\item[probes n] Sets the number of probes to accumulate (max 3)
|
|
||||||
\item[dr n] Sets the dynamic range - can be (1,) 4, 8,16 or 24 bits
|
|
||||||
\item[flags mode] Sets the readout flags - can be none or storeinram
|
|
||||||
\item[flatfield fname] Sets the flatfield file name - none disable flat field corrections
|
|
||||||
\item[ratecorr t] Sets the rate corrections with dead time t ns (0 unsets, -1 uses default dead time for chosen settings
|
|
||||||
\item[badchannels fname] Sets the badchannels file name - none disable bad channels corrections
|
|
||||||
\item[angconv fname] Sets the angular conversion file name
|
|
||||||
\item[globaloff o] sets the fixed angular offset of your encoder - should be almost constant!
|
|
||||||
\item[fineoff o] sets a possible angular offset of your setup - should be small but can be senseful to modify
|
|
||||||
\item[binsize s] sets the binning size of the angular conversion (otherwise defaults from the angualr conversion constants)
|
|
||||||
\item[angdir i] sets the angular direction of the detector (i can be 1 or -1 - by default 1, channel 0 is smaller angle)
|
|
||||||
\item[positions np (pos0 pos1...posnp)] Sets the number of positions at which the detector is moved during the acquisition and their values
|
|
||||||
\item[startscript script] sets a script to be executed at the beginning of the measurements (e.g. open shutter). \textit{none} unsets. Parameters will be parsed as \verb|script nrun=i par=spar| where i is the run number and spar is the value of startscriptpar.
|
|
||||||
\item[stopscript script] sets a script to be executed at the end of the measurement (e.g. close shutter). \textit{none} unsets. Parameters will be parsed as \verb|script nrun=i par=spar| where i is the run number and spar is the value of stopscriptpar.
|
|
||||||
\item[startscriptpar spar] sets a parameter passed to the start script as string with the syntax par=spar. Its meaning must be interpreted inside the script!
|
|
||||||
\item[stopscriptpar spar] sets a parameter passed to the start script as string with the syntax par=spar. Its meaning must be interpreted inside the script!
|
|
||||||
\item[scan0script script] Sets a scan script to be executed at higher level. Script can be none (unset), threshold (change threshold DAC values for all modules), energy (change energy threshold DAC values using calibration for each module), trimbits (change trimbits for all channels) or any script (e.g changing temperature or moving sample) which will be called with the syntax \verb| script nrun=i fn=fname var=val par=spar| where i is the file index, fname is the file name val is the current value of the scan variable and spar is the value of the scan parameter
|
|
||||||
\item[scan1script script] Sets a scan script to be executed at lower level. Script can be none (unset), threshold (change threshold DAC values for all modules), energy (change energy threshold DAC values using calibration for each module), trimbits (change trimbits for all channels) or any script (e.g changing temperature or moving sample) which will be called with the syntax \verb| script nrun=i fn=fname var=val par=spar| where i is the file index, fname is the file name val is the current value of the scan variable and spar is the value of the scan parameter
|
|
||||||
\item[scan0par spar] sets the scan parameter to be passed to scan0script as a string with syntax par=spar. Its meaning has to be interpreted insode the script!
|
|
||||||
\item[scan1par spar] sets the scan parameter to be passed to scan1script as a string with syntax par=spar. Its meaning has to be interpreted insode the script!
|
|
||||||
\item[scan0prec i] sets the precision of the scan variable in order to properly generate the file names for scan0
|
|
||||||
\item[scan1prec i] sets the precision of the scan variable in order to properly generate the file names for scan1
|
|
||||||
\item[scan0steps n (f0 f1..fn)] sets the steps for the scan0script. n is the number of steps and the following values are the step values.
|
|
||||||
\item[scan1steps n (f0 f1..fn)] sets the steps for the scan1script. n is the number of steps and the following values are the step values.
|
|
||||||
\item[scan0range mi ma st] generates the steps for the scan0script in the range mi to ma with step st (is mi smaller than ma specify a negative step)
|
|
||||||
\item[scan1range mi ma st] generates the steps for the scan1script in the range mi to ma with step st (is mi smaller than ma specify a negative step)
|
|
||||||
\item[scriptbefore script] sets the script to be executed before each acquisition (before all positions) with the syntax \verb|script nrun=i fn=fname par=spar sv0=svar0 sv1=svar1 p0=spar0 p1=spar1| where i is the file index, fname is the file name, sva0, svar1 are the current values of the scan variables 0 and 1, spar0, spar1 are tthe scan parameter 0 and 1. \textit{none} unsets.
|
|
||||||
\item[scriptafter script] sets the script to be executed after each acquisition (after all positions) with the syntax \verb|script nrun=i fn=fname par=spar sv0=svar0 sv1=svar1 p0=spar0 p1=spar1| where i is the file index, fname is the file name, sva0, svar1 are the current values of the scan variables 0 and 1, spar0, spar1 are tthe scan parameter 0 and 1. \textit{none} unsets.
|
|
||||||
\item[scriptbeforepar spar] sets the parameter to be passed to the script before witht he syntax par=spar
|
|
||||||
\item[scriptafterpar spar] sets the parameter to be passed to the script after witht he syntax par=spar
|
|
||||||
\item[headerbefore script] sets the script to be executed before each acquisition (after moving the detector) with the syntax \verb|script nrun=i fn=fname par=spar| where i is the run number, fname is the file name, spar is the header before parameter. The script is normally used to save a file header. \textit{none} unsets.
|
|
||||||
\item[headerafter script] sets the script to be executed after each acquisition (after each position) with the syntax \verb|script nrun=i fn=fname par=spar| where i is the run number, fname is the file name, spar is the header after parameter. The script is normally used to complete the file header. \textit{none} unsets.
|
|
||||||
\item[headerbeforepar spar] sets the parameter to be passed to the header before script with the syntax par=spar
|
|
||||||
\item[headerafterpar spar] sets the parameter to be passed to the header after script with the syntax par=spar
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\section{Retrieving detector parameters (plus trimming and test modalities)}
|
|
||||||
mythen\_get [id[:/-]]var arg
|
|
||||||
|
|
||||||
is used to retrieve the detector parameter var
|
|
||||||
e.g. mythen\_get 0:exptime returns the exposure time in seconds
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\begin{description}
|
|
||||||
\item[help] This help
|
|
||||||
\item[config fname] writes the configuration file
|
|
||||||
\item[parameters fname] writes the main detector parameters for the measuremen tin the file
|
|
||||||
\item[setup rootname] writes the complete detector setup (including configuration, trimbits, flat field coefficients, badchannels etc.) is a set of files for which the extension is automatically generated
|
|
||||||
\item[online] return whether the detector is in online (1) or offline (0) state.
|
|
||||||
\item[status] gets the detector status - can be: running, error, transmitting, finished, waiting or idle
|
|
||||||
\item[data] gets all data from the detector (if any) processes them and writes them to file according to the preferences already setup
|
|
||||||
\item[frame] gets a single frame from the detector (if any) processes it and writes it to file according to the preferences already setup
|
|
||||||
\item[hostname] Gets the detector hostname (or IP address)
|
|
||||||
\item[caldir] Gets path of the calibration files
|
|
||||||
\item[trimdir] Gets path of the trim files
|
|
||||||
\item[outdir] directory to which the files will be written by default
|
|
||||||
\item[fname] filename to which the files will be written by default (to which file and position indexes will eventually be attached)
|
|
||||||
\item[index] start index of the files (automatically incremented by the acquisition functions)
|
|
||||||
\item[nmod] Gets number of detector modules
|
|
||||||
\item[maxmod] Gets maximum number of detector modules
|
|
||||||
\item[extsig:i] Gets usage of the external digital signal i. The return value can be: off, gate\_in\_active\_high, gate\_in\_active\_low, trigger\_in\_rising\_edge, trigger\_in\_falling\_edge, ro\_trigger\_in\_rising\_edge, ro\_trigger\_in\_falling\_edge, gate\_out\_active\_high, gate\_out\_active\_low, trigger\_out\_rising\_edge, trigger\_out\_falling\_edge, ro\_trigger\_out\_rising\_edge, ro\_trigger\_out\_falling\_edge\item[timing] Sets the timing mode of the detector. Can be auto, gating (works only if at least one of the signals is configured as gate\_in), trigger (works only if at least one of the signals is configured as trigger\_in), ro\_trigger (works only if at least one of the signals is configured as ro\_trigger\_in), triggered\_gating (works only if one ofthe signals is configured as gate\_in and one as trigger\_in).
|
|
||||||
\item[modulenumber] Gets the module serial number
|
|
||||||
\item[moduleversion] Gets the module version
|
|
||||||
\item[detectornumber] Gets the detector number (MAC address)
|
|
||||||
\item[detectorversion] Gets the detector firmware version
|
|
||||||
\item[softwareversion] Gets the detector software version
|
|
||||||
\item[digitest:i] Makes a digital test of the detector module i. Returns 0 if it succeeds
|
|
||||||
\item[bustest] Makes a test of the detector bus. Returns 0 if it succeeds
|
|
||||||
\item[settings] Gets detector settings. Can be: standard fast highgain undefined
|
|
||||||
\item[threshold] Gets detector threshold in eV. It is precise only if the detector is calibrated
|
|
||||||
\item[vthreshold] Gets detector threshold in DAC units. A very rough calibration is dac=800-10*keV
|
|
||||||
\item[exptime] Gets the exposure time per frame (in s)
|
|
||||||
\item[period] Gets the frames period (in s)
|
|
||||||
\item[delay] Gets the delay after trigger (in s)
|
|
||||||
\item[gates] Gets the number of gates per frame
|
|
||||||
\item[frames] Gets the number of frames per cycle (e.g. after each trigger)
|
|
||||||
\item[triggers] Gets the number of triggers (e.g. number of triggers)
|
|
||||||
\item[probes] Gets the number of probes to accumulate (max 3)
|
|
||||||
\item[timestamp] Gets the internal time stamp of the nex frame acquired (i.e. during an acquisition, all timestamps of the frames are stored in a FIFO which can be read after the acquisition - returns -1 if the FIFO is empty)
|
|
||||||
\item[dr] Gets the dynamic range
|
|
||||||
\item[trim:mode fname] Trims the detector and writes the trimfile fname.snxxx. mode can be: noise beam improve fix offline - Check that the start conditions are OK!!!
|
|
||||||
\item[flatfield] fname returns whether the flat field corrections are enabled and if so writes the coefficients to the specified filename. If fname is none it is not written
|
|
||||||
\item[ratecorr] returns wether the rate corrections are enabled and what is the dead time used in ns
|
|
||||||
\item[badchannels fname] returns wether the bad channels corrections are enabled and if so writes the bad channels to the specified filename. If fname is none it is not written
|
|
||||||
\item[angconv fname] returns wether the angular conversion is enabled and if so writes the angular conversion coefficients to the specified filename. If fname is none, it is not written
|
|
||||||
\item[globaloff] returns the fixed angular offset of your encoder - should be almost constant!
|
|
||||||
\item[fineoff] returns a possible angualr offset of your setup - should be small but can be senseful to modify
|
|
||||||
\item[binsize] returns the binning size of the angular conversion
|
|
||||||
\item[angdir] gets the angular direction of the detector (can be 1 or -1 - by default 1, channel 0 is smaller angle)
|
|
||||||
\item[positions] returns the number of positions at which the detector is moved during the acquisition and their values
|
|
||||||
\item[startscript script] sets a script to be executed at the beginning of the measurements (e.g. open shutter). \textit{none} unsets. Parameters will be parsed as \verb|script nrun=i par=spar| where i is the run number and spar is the value of startscriptpar.
|
|
||||||
\item[stopscript] returns the script to be executed at the end of the measurement (e.g. close shutter). \textit{none} unsets. Parameters will be parsed as \verb|script nrun=i par=spar| where i is the run number and spar is the value of stopscriptpar.
|
|
||||||
\item[startscriptpar] returns the parameter passed to the start script as string with the syntax par=spar. Its meaning must be interpreted inside the script!
|
|
||||||
\item[stopscriptpar]returns the parameter passed to the start script as string with the syntax par=spar. Its meaning must be interpreted inside the script!
|
|
||||||
\item[scan0script] returns the scan script to be executed at higher level. Script can be none (unset), threshold (change threshold DAC values for all modules), energy (change energy threshold DAC values using calibration for each module), trimbits (change trimbits for all channels) or any script (e.g changing temperature or moving sample) which will be called with the syntax \verb| script nrun=i fn=fname var=val par=spar| where i is the file index, fname is the file name val is the current value of the scan variable and spar is the value of the scan parameter
|
|
||||||
\item[scan1script] returns the scan script to be executed at lower level. Script can be none (unset), threshold (change threshold DAC values for all modules), energy (change energy threshold DAC values using calibration for each module), trimbits (change trimbits for all channels) or any script (e.g changing temperature or moving sample) which will be called with the syntax \verb| script nrun=i fn=fname var=val par=spar| where i is the file index, fname is the file name val is the current value of the scan variable and spar is the value of the scan parameter
|
|
||||||
\item[scan0par] returns the scan parameter to be passed to scan0script as a string with syntax par=spar. Its meaning has to be interpreted insode the script!
|
|
||||||
\item[scan1par] returns the scan parameter to be passed to scan1script as a string with syntax par=spar. Its meaning has to be interpreted insode the script!
|
|
||||||
\item[scan0prec] returns the precision of the scan variable in order to properly generate the file names for scan0
|
|
||||||
\item[scan1prec] returns the precision of the scan variable in order to properly generate the file names for scan1
|
|
||||||
\item[scan0steps] returns the steps for the scan0script. n is the number of steps and the following values are the step values.
|
|
||||||
\item[scan1steps] returns the steps for the scan1script. n is the number of steps and the following values are the step values.
|
|
||||||
\item[scan0range] returns the steps for the scan0script. n is the number of steps and the following values are the step values.
|
|
||||||
\item[scan1range] returns the steps for the scan1script. n is the number of steps and the following values are the step values.
|
|
||||||
\item[scriptbefore] returns the script to be executed before each acquisition (before all positions) with the syntax \verb|script nrun=i fn=fname par=spar sv0=svar0 sv1=svar1 p0=spar0 p1=spar1| where i is the file index, fname is the file name, sva0, svar1 are the current values of the scan variables 0 and 1, spar0, spar1 are tthe scan parameter 0 and 1.
|
|
||||||
\item[scriptafter] returns the script to be executed after each acquisition (after all positions) with the syntax \verb|script nrun=i fn=fname par=spar sv0=svar0 sv1=svar1 p0=spar0 p1=spar1| where i is the file index, fname is the file name, sva0, svar1 are the current values of the scan variables 0 and 1, spar0, spar1 are tthe scan parameter 0 and 1.
|
|
||||||
\item[scriptbeforepar] returns the parameter to be passed to the script before witht he syntax par=spar
|
|
||||||
\item[scriptafterpar] returns the parameter to be passed to the script after witht he syntax par=spar
|
|
||||||
\item[headerbefore] returns the script to be executed before each acquisition (after moving the detector) with the syntax \verb|script nrun=i fn=fname par=spar| where i is the run number, fname is the file name, spar is the header before parameter. The script is normally used to save a file header.
|
|
||||||
\item[headerafter] returns the script to be executed after each acquisition (after each position) with the syntax \verb|script nrun=i fn=fname par=spar| where i is the run number, fname is the file name, spar is the header after parameter. The script is normally used to complete the file header.
|
|
||||||
\item[headerbeforepar] returns the parameter to be passed to the header before script with the syntax par=spar
|
|
||||||
\item[headerafterpar]returns the parameter to be passed to the header after script with the syntax par=spar
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
\section{Tips}
|
|
||||||
|
|
||||||
\subsubsection{Mandatory setup}
|
|
||||||
First of all you should setup the hostname and the detector size and dynamic range:
|
|
||||||
\begin{verbatim}
|
|
||||||
mythen_put hostname mcs1x00
|
|
||||||
mythen_get nmod
|
|
||||||
mythen_get dr
|
|
||||||
\end{verbatim}
|
|
||||||
You should also tell the program where to find the default trimbits files and calibration files:
|
|
||||||
\begin{verbatim}
|
|
||||||
mythen_put trimdir /scratch/trimbits
|
|
||||||
mythen_get caldir /scratch/calibration
|
|
||||||
\end{verbatim}
|
|
||||||
To chose the detector settings (e.g. standard):
|
|
||||||
\begin{verbatim}
|
|
||||||
mythen_put settings standard
|
|
||||||
\end{verbatim}
|
|
||||||
In case \verb=mythen_get settings= does not answer correctly, it most probably means that there is a problem in the architecture or setting of \textit{trimdir} and \textit{caldir} (see section~\ref{sec:trimdir}).
|
|
||||||
|
|
||||||
\subsubsection{Acquisition setup}
|
|
||||||
You need to setup where the files will be written to
|
|
||||||
\begin{verbatim}
|
|
||||||
mythen_put outdir /scratch
|
|
||||||
mythen_put fname run
|
|
||||||
mythen_put index 0
|
|
||||||
\end{verbatim}
|
|
||||||
this way your files will al be named /scracth/run\_i.dat where is starts from 0 and is automatically incremented.
|
|
||||||
|
|
||||||
You will then need to setup the detector threshold and settings, the exposure time, the number of real time frames and eventually how many real time frames should be acquired:
|
|
||||||
\begin{verbatim}
|
|
||||||
mythen_put settings standard
|
|
||||||
mythen_put threshold 6000
|
|
||||||
mythen_put exptime 1.
|
|
||||||
mythen_put frames 10
|
|
||||||
\end{verbatim}
|
|
||||||
In this case 10 consecutive 1s frames will be acquired.
|
|
||||||
External gating and triggering or more advanced acquisition modes are not explained here.
|
|
||||||
|
|
||||||
\subsubsection{Acquiring}
|
|
||||||
There are two ways of acquiring data.\\
|
|
||||||
The first is fully automatic and freezes the terminal until the acquisition is finished:
|
|
||||||
\begin{verbatim}
|
|
||||||
mythen_acquire 0
|
|
||||||
\end{verbatim}
|
|
||||||
This is particulary indicated for fast real time acquisitions.
|
|
||||||
|
|
||||||
If you want to acquire few long frames you can run:
|
|
||||||
\begin{verbatim}
|
|
||||||
mythen_put status start
|
|
||||||
\end{verbatim}
|
|
||||||
and the poll the detector status using
|
|
||||||
\begin{verbatim}
|
|
||||||
mythen_get status
|
|
||||||
\end{verbatim}
|
|
||||||
if the answer is either transmitting or finished, the data are ready to be downloaded from the detector.
|
|
||||||
This can be done using either:
|
|
||||||
\begin{verbatim}
|
|
||||||
mythen_get frame
|
|
||||||
\end{verbatim}
|
|
||||||
where a single data frame is downloaded or
|
|
||||||
\begin{verbatim}
|
|
||||||
mythen_get data
|
|
||||||
\end{verbatim}
|
|
||||||
where all data present on the detector are downloaded.
|
|
||||||
This is not indicated when many short real time frames should be acquired since the detector memory would be full before finishing the acquisition since the download time is so limited.
|
|
||||||
|
|
||||||
\subsubsection{Data processing}
|
|
||||||
Flat field and rate corrections can be applied direcly by simply selecting:
|
|
||||||
\begin{verbatim}
|
|
||||||
mythen_put flatield myflatfield.raw
|
|
||||||
mythen_put ratecorr -1
|
|
||||||
\end{verbatim}
|
|
||||||
|
|
||||||
Concerning the angular conversion, it is very reccomended that the users edit the file usersFunctions.cpp contained in the folder slsDetectorSoftware/usersFunctions.
|
|
||||||
In the file it is possible to modify the function used for calculating the angular conversion and the ones used for interfacing with the diffractometer equipment i.e. reading the encoder fo the detector position, the ionization chanmbers etc.
|
|
||||||
|
|
||||||
It is also possible to configure some scans/scripts to be executed during the acquisition. They will be normally called as system calls except for threshold, energy and trimbits scans.
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\begin{comment}
|
|
||||||
|
|
||||||
\chapter{mythenGUI}
|
|
||||||
|
|
||||||
\section{Introduction}
|
|
||||||
|
|
||||||
To run the GUI just call:
|
|
||||||
\begin{verbatim}
|
|
||||||
bin/mythenGUI
|
|
||||||
\end{verbatim}
|
|
||||||
Possible arguments are:
|
|
||||||
\begin{description}
|
|
||||||
\item[help] This help
|
|
||||||
\item[-f myconf.txt] loads the configuration file to myconf.txt
|
|
||||||
\item[-id i] Sets the detector to id i (the default is i). Useful when more than one detector are operated in parallel.
|
|
||||||
\item[-offline] works in offline mode i.e. not connecting to the detector. Usefule e.g. to perform the energy calibration of the detector and possibly in the future to reprocess and visualize the data (not yet implemented).
|
|
||||||
\item[-size n] sets the size of the text to n (the default is n=10);
|
|
||||||
\item[-scale s] scales the size of the text and the root canvas by the scaling factor s (the default is s=1). It is useful when executing the program on a PC with low screen resolution (e.g. a laptop) and the window would then fall out of the screen.");
|
|
||||||
\end{description}
|
|
||||||
The configuration of the detector can either be set when startin the GUI using the configuration file or using the text client or even using the configuration tab of the GUI.
|
|
||||||
|
|
||||||
|
|
||||||
\section{Acquisition}
|
|
||||||
By pressing the start button in the measurement tab the data will be acquired, saved, corrected and plotted as specified.
|
|
||||||
|
|
||||||
The stop button stops the acquisition i.e. if there are data left to be saved processed etc. the program will not really stop until the offline processes are done.
|
|
||||||
|
|
||||||
Please don't be too nervous clicking on start and/or stop since this is one of the main causes of crashes (the program has been teste only for quiet users :-)).
|
|
||||||
|
|
||||||
\section{Other functions}
|
|
||||||
The text client and the GUI can be operated in parallel (althoug you should not change parameters or acquire data at the same data from the gui and the text client!) and the values displayed by the GUI should normally be the actual ones.
|
|
||||||
However this kind of parallel operation is at your own risk!
|
|
||||||
|
|
||||||
|
|
||||||
The main parameters are group in tabs according to their meaning. To enable some tabs you should enter the modes menu and select Advanced/configuration/Debug
|
|
||||||
Here is the general subject of the tabs:
|
|
||||||
\begin{description}
|
|
||||||
\item[Measurement] Main acquisition parameters that you may want to change often
|
|
||||||
\item[Data Output] Where to write the data, in which format and what to to with them
|
|
||||||
\item[Plot] What to plot and how (only partially implemented)
|
|
||||||
\item[Actions] Allows to configure scans and/or execute scripts at teh beginning or at the end of the measurement.
|
|
||||||
\item[Time resolved] Parameters for time resolved (real time) measurements
|
|
||||||
\item[Advanced] Must be activated with the modes menu button. Allows to set some advanced configuration which you don't want general users to change (e.g. data size, external signals, advanced acquisition speed)
|
|
||||||
\item[Trimming] Must be activated with the modes menu button. Allows to trim the detector and/or load specific trim files.
|
|
||||||
\item[Configuration] Must be activated with the modes menu button. Allows to configure the detector
|
|
||||||
\item[Debugging] Must be activated with the modes menu button. Allows to test the detectors functionality, acquire serial numbers etc.
|
|
||||||
\end{description}
|
|
||||||
Most of the parameters are explained through a tooltip which appers if you leave the mouse on the widget for a few seconds.
|
|
||||||
|
|
||||||
The configuration and/or the complete setup of the detector can be loaded and saved using the Utilities menu.
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\subsection{Mandatory configuration}
|
|
||||||
Where to find some important parameters (should be set only once, then it should remain in memory):
|
|
||||||
\begin{description}
|
|
||||||
\item[Hostname] Configuration tab. Press enter to update.
|
|
||||||
\item[Trim dir] Configuration tab. Press enter to update.
|
|
||||||
\item[Cal dir] Configuration tab. Press enter to update.
|
|
||||||
\item[Number of modules] Configuration tab or Advanced tab
|
|
||||||
\item[Dynamic range] Advanced tab
|
|
||||||
\item[Output directory] Data Output tab.
|
|
||||||
\item[File name] Measurement tab.
|
|
||||||
\item[File index] Measurement tab (automatically incremented).
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
|
|
||||||
\subsection{Acquisition setup}
|
|
||||||
Where to find some important parameters (should be set only once, then it should remain in memory):
|
|
||||||
\begin{description}
|
|
||||||
\item[Settings] Measurement tab
|
|
||||||
\item[Threshold] Measurement tab
|
|
||||||
\item[Exposure time] Measurement tab
|
|
||||||
\item[Number of frames] Measurement tab for non time-resolved measurement, Time resolved tab for fast real time measurements. if you need some action between frame see Actions tab.
|
|
||||||
\end{description}
|
|
||||||
|
|
||||||
\chapter{Energy calibration} \label{sec:encal}
|
|
||||||
The energy calibration should be performed by illuminating the detector with monochromatic radiation at at least 2 (better 3-4) energies larger than 8~keV. The energy calibration should be performed after trimming and the trim files used should be properly copied in the trimbits directory and used as default.
|
|
||||||
|
|
||||||
The data can be acquired either with the mythenGUI (by using the calibration wizard or the threshold scan utility in the Action tab) or with the slsDetectorClient (by scanning the threshold using mythen\_put 0:vthreshold), but since the analysis needs the use of root, the GUI must be used to finalize the calibration.
|
|
||||||
|
|
||||||
In the mythenGUI menu Utilities/Calibration wizard it is possible to simply and automatically perform the energy calibration of the detector:
|
|
||||||
\begin{enumerate}
|
|
||||||
\item
|
|
||||||
Check the ``Detector online'' box in case you want to acquire the data, otherwise simply unclick it and you will be required to provide already acquired data and the details about the detector.\\
|
|
||||||
The first time, chose ``Start new calibration'' and chose the directory where you want to store the data you want to acquire. The calibration file names have a''.root'' extension. \\
|
|
||||||
The calibration should be perormed by acquiring always the same settings and with the same number of modules always connected in the same sequence. The clibration files, however, can be used for the modules also on different systems (i.e. different number of modules, readout board, etc.). A new calibration should be performed for different detector settings.
|
|
||||||
\item If the detector is online, the settings, the number of modules and their serial number will automatically be retrieved. If you selected the offline mode, you must provide the detector settings for the calibration that you want to perform and the serial numbers of the modules in the correct order (to do so, enter the 3 hexadecimal digits in the right sequence and press enter for each module - in case of error the list is editable).
|
|
||||||
\item Enter the energy of your beam (in keV!); \\
|
|
||||||
If you are in online mode, the acquisition time should be chosen such that there are at least 1000 counts per channel at an intemediate threshold; the range of the threshold scan should be between approx 800-15*keV and 800, better with a step of 1 but up to 5 can be fine in order to reduce the acquisition time: it is more important that each step has a sufficient statistics than that the threshold step is low! After pressing ``Next'', the detector starts acquiring and showing the histogram of the calibration. When it is finished simply press ``Finish'' to accept the data, ``Cancel'' to reject them.\\
|
|
||||||
In offline mode, you are required to enter the range and step of the calibration and to select the files (in the same sequence as the threshold values!). After pressing ``Next'' (enabled only if the number of steps is the same as the number of files), the histogram showing the threshold scan is drawn. Simply press ``Finish'' to accept the data, ``Cancel'' to reject them.
|
|
||||||
\item For the following calibration steps, check the ``Detector online'' box in case you want to acquire the data, otherwise simply unclick it and you will be required to provide already acquired data and the details about the detector.\\ Chose ``Add calibration step'' and select the file created prevously. The settings, number of modules and serial numbers of the modules and the energies at which the acquisition has been already performed should be displayed.
|
|
||||||
\item Add a new calibration step like in point 3. and iterate for all the energies at which you want to perform the calibration.
|
|
||||||
\item To generate the calibration files, chose ``Generate calibration files'' and select the file created prevously. The settings, number of modules and serial numbers of the modules and the energies at which the acquisition has been already performed should be displayed.
|
|
||||||
\item Chose the directory and the root of the calibrations files name. An extension corresponding to the serial number of the modules will be generated.
|
|
||||||
\item The calibration files for each module should be generated. For each energy you can set the start parameters of the fit and the fitting range (press enter after each change) so that the fitted curves nicely fit the data. The linear fit between energies and inflection points can also be checked.
|
|
||||||
\end{enumerate}
|
|
||||||
|
|
||||||
\end{comment}
|
|
||||||
|
|
||||||
|
|
||||||
\end{document}
|
|
||||||
|
|
||||||
@ -1,737 +0,0 @@
|
|||||||
%!PS-Adobe-3.0 EPSF-3.0
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|
||||||
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|
||||||
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|
||||||
%.....................................
|
|
||||||
%%Creator: GPL Ghostscript 870 (epswrite)
|
|
||||||
%%CreationDate: 2012/12/06 13:02:37
|
|
||||||
%%DocumentData: Clean7Bit
|
|
||||||
%%LanguageLevel: 2
|
|
||||||
%%EndComments
|
|
||||||
%%BeginProlog
|
|
||||||
% This copyright applies to everything between here and the %%EndProlog:
|
|
||||||
% Copyright (C) 2009 Artifex Software, Inc. All rights reserved.
|
|
||||||
%%BeginResource: procset GS_epswrite_2_0_1001 1.001 0
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|
||||||
/GS_epswrite_2_0_1001 80 dict dup begin
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|
||||||
/PageSize 2 array def/setpagesize{ PageSize aload pop 3 index eq exch
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|
||||||
4 index eq and{ pop pop pop}{ PageSize dup 1
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|
||||||
5 -1 roll put 0 4 -1 roll put dup null eq {false} {dup where} ifelse{ exch get exec}
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|
||||||
{ pop/setpagedevice where
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|
||||||
{ pop 1 dict dup /PageSize PageSize put setpagedevice}
|
|
||||||
{ /setpage where{ pop PageSize aload pop pageparams 3 {exch pop} repeat
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|
||||||
setpage}if}ifelse}ifelse}ifelse} bind def
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|
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|
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|
||||||
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|
||||||
/w/setlinewidth #/J/setlinecap #
|
|
||||||
/j/setlinejoin #/M/setmiterlimit #/d/setdash #/i/setflat #
|
|
||||||
/m/moveto #/l/lineto #/c/rcurveto #
|
|
||||||
/p{N 2 idiv{N -2 roll rlineto}repeat}!
|
|
||||||
/P{N 0 gt{N -2 roll moveto p}if}!
|
|
||||||
/h{p closepath}!/H{P closepath}!
|
|
||||||
/lx{0 rlineto}!/ly{0 exch rlineto}!/v{0 0 6 2 roll c}!/y{2 copy c}!
|
|
||||||
/re{4 -2 roll m exch dup lx exch ly neg lx h}!
|
|
||||||
/^{3 index neg 3 index neg}!
|
|
||||||
/f{P fill}!/f*{P eofill}!/s{H stroke}!/S{P stroke}!
|
|
||||||
/q/gsave #/Q/grestore #/rf{re fill}!
|
|
||||||
/Y{P clip newpath}!/Y*{P eoclip newpath}!/rY{re Y}!
|
|
||||||
/|={pop exch 4 1 roll 1 array astore cvx 3 array astore cvx exch 1 index def exec}!
|
|
||||||
/|{exch string readstring |=}!
|
|
||||||
/+{dup type/nametype eq{2 index 7 add -3 bitshift 2 index mul}if}!
|
|
||||||
/@/currentfile #/${+ @ |}!
|
|
||||||
/B{{2 copy string{readstring pop}aload pop 4 array astore cvx
|
|
||||||
3 1 roll}repeat pop pop true}!
|
|
||||||
/Ix{[1 0 0 1 11 -2 roll exch neg exch neg]exch}!
|
|
||||||
/,{true exch Ix imagemask}!/If{false exch Ix imagemask}!/I{exch Ix image}!
|
|
||||||
/Ic{exch Ix false 3 colorimage}!
|
|
||||||
/F{/Columns counttomark 3 add -2 roll/Rows exch/K -1/BlackIs1 true>>
|
|
||||||
/CCITTFaxDecode filter}!/FX{<</EndOfBlock false F}!
|
|
||||||
/X{/ASCII85Decode filter}!/@X{@ X}!/&2{2 index 2 index}!
|
|
||||||
/@F{@ &2<<F}!/@C{@X &2 FX}!
|
|
||||||
/$X{+ @X |}!/&4{4 index 4 index}!/$F{+ @ &4<<F |}!/$C{+ @X &4 FX |}!
|
|
||||||
/IC{3 1 roll 10 dict begin 1{/ImageType/Interpolate/Decode/DataSource
|
|
||||||
/ImageMatrix/BitsPerComponent/Height/Width}{exch def}forall
|
|
||||||
currentdict end image}!
|
|
||||||
/~{@ read {pop} if}!
|
|
||||||
end def
|
|
||||||
%%EndResource
|
|
||||||
/pagesave null def
|
|
||||||
%%EndProlog
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|
||||||
%%Page: 1 1
|
|
||||||
%%BeginPageSetup
|
|
||||||
GS_epswrite_2_0_1001 begin
|
|
||||||
/pagesave save store 197 dict begin
|
|
||||||
0.1 0.1 scale
|
|
||||||
%%EndPageSetup
|
|
||||||
gsave mark
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Q q
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|
||||||
609.602 276.398 7200 5400 re
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Y
|
|
||||||
255 G
|
|
||||||
609.602 276.398 7200 5400 re
|
|
||||||
f
|
|
||||||
Q q
|
|
||||||
609.602 276.398 7200 5400 re
|
|
||||||
Y
|
|
||||||
21.6 w
|
|
||||||
8 M
|
|
||||||
1 j
|
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||||||
K
|
|
||||||
2682 1943.2 4677.6 1704 S
|
|
||||||
Q q
|
|
||||||
609.602 276.398 7200 5400 re
|
|
||||||
Y
|
|
||||||
0.24 i
|
|
||||||
K
|
|
||||||
7288.09 3733 -4.45 0 13.13 59.31 3.98 0 P
|
|
||||||
-0.55 -5.7 -0.82 -10.42 -0.82 -14.16 c
|
|
||||||
0 -10.69 3.42 -19.38 10.25 -26.09 c
|
|
||||||
6.84 -6.71 15.76 -10.06 26.78 -10.06 c
|
|
||||||
10.23 0 18.01 3.15 23.32 9.45 c
|
|
||||||
5.31 6.3 7.97 13.57 7.97 21.79 c
|
|
||||||
0 5.32 -1.21 10.18 -3.63 14.56 c
|
|
||||||
-3.67 6.5 -13.46 17.93 -29.39 34.3 c
|
|
||||||
-7.73 7.83 -12.68 13.66 -14.87 17.5 c
|
|
||||||
-3.59 6.34 -5.39 13 -5.39 19.97 c
|
|
||||||
0 11.12 4.14 20.63 12.41 28.54 c
|
|
||||||
8.27 7.91 18.89 11.89 31.85 11.89 c
|
|
||||||
4.37 0 8.51 -0.43 12.41 -1.29 c
|
|
||||||
2.42 -0.47 6.83 -2.03 13.23 -4.69 c
|
|
||||||
4.53 -1.8 7.03 -2.77 7.5 -2.93 c
|
|
||||||
1.09 -0.23 2.3 -0.35 3.63 -0.35 c
|
|
||||||
2.26 0 4.21 0.59 5.86 1.76 c
|
|
||||||
1.64 1.17 3.55 3.67 5.74 7.5 c
|
|
||||||
4.47 0 -12.19 -53.2 -3.98 0 p
|
|
||||||
0.31 4.75 0.47 8.59 0.47 11.52 c
|
|
||||||
0 9.58 -3.12 17.42 -9.37 23.52 c
|
|
||||||
-6.25 6.1 -14.49 9.15 -24.73 9.15 c
|
|
||||||
-8.12 0 -14.73 -2.41 -19.8 -7.2 c
|
|
||||||
-5.08 -4.79 -7.62 -10.34 -7.62 -16.62 c
|
|
||||||
0 -5.5 1.62 -10.75 4.87 -15.74 c
|
|
||||||
3.25 -4.99 10.72 -13.13 22.41 -24.41 c
|
|
||||||
11.7 -11.28 19.26 -20.08 22.71 -26.41 c
|
|
||||||
3.44 -6.33 5.16 -13.07 5.16 -20.22 c
|
|
||||||
0 -8.1 -2.14 -15.94 -6.41 -23.52 c
|
|
||||||
-4.26 -7.59 -10.37 -13.46 -18.35 -17.62 c
|
|
||||||
-7.97 -4.16 -16.69 -6.25 -26.14 -6.25 c
|
|
||||||
-4.69 0 -9.07 0.43 -13.13 1.29 c
|
|
||||||
-4.06 0.86 -10.55 2.97 -19.46 6.33 c
|
|
||||||
-3.05 1.17 -5.59 1.76 -7.62 1.76 c
|
|
||||||
-4.61 0 -8.21 -3.12 -10.79 -9.37 c
|
|
||||||
h
|
|
||||||
f
|
|
||||||
Q q
|
|
||||||
609.602 276.398 7200 5400 re
|
|
||||||
Y
|
|
||||||
9.6 w
|
|
||||||
8 M
|
|
||||||
1 j
|
|
||||||
K
|
|
||||||
1437.6 5345.2 1704 -4677.6 S
|
|
||||||
131072 M
|
|
||||||
1 J
|
|
||||||
1508.4 5276.8 -67.2 67.2 -12 -96 S
|
|
||||||
Q q
|
|
||||||
609.602 276.398 7200 5400 re
|
|
||||||
Y
|
|
||||||
255 G
|
|
||||||
2904 2021.2 -225.6 -81.6 81.6 -225.6 225.6 81.6 f*
|
|
||||||
9.6 w
|
|
||||||
8 M
|
|
||||||
1 J
|
|
||||||
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|
|
||||||
2904 2021.2 -225.6 -81.6 81.6 -225.6 225.6 81.6 H
|
|
||||||
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|
|
||||||
Q q
|
|
||||||
609.602 276.398 7200 5400 re
|
|
||||||
Y
|
|
||||||
0.24 i
|
|
||||||
K
|
|
||||||
5019.7 2957 -37.97 0 -25.43 77.23 P
|
|
||||||
-0.35 -0.14 -0.7 -0.23 -1.06 -0.23 c
|
|
||||||
-5.6 0 -11.34 0.66 -17.22 1.98 c
|
|
||||||
-13.71 -48.27 p
|
|
||||||
-1.8 -6.28 -2.7 -11.57 -2.7 -15.89 c
|
|
||||||
0 -3.29 1.13 -5.88 3.4 -7.77 c
|
|
||||||
1.72 -1.41 6.41 -2.43 14.06 -3.06 c
|
|
||||||
-1.05 -4 -61.52 0 1.29 4 p
|
|
||||||
5.77 0.23 9.67 0.82 11.7 1.76 c
|
|
||||||
3.2 1.33 5.54 3.13 7.02 5.41 c
|
|
||||||
2.5 3.68 5.11 10.18 7.84 19.51 c
|
|
||||||
27.74 96.23 p
|
|
||||||
1.87 6.43 2.81 11.4 2.81 14.93 c
|
|
||||||
0 3.6 -1.46 6.66 -4.39 9.16 c
|
|
||||||
-2.84 2.43 -6.87 3.64 -12.1 3.64 c
|
|
||||||
-0.16 0 -0.32 0 -0.48 0 c
|
|
||||||
1.41 4.36 51.73 0 p
|
|
||||||
17.32 0 29.81 -3.3 37.46 -9.88 c
|
|
||||||
7.64 -6.58 11.48 -15.24 11.48 -25.97 c
|
|
||||||
0 -10.26 -3.92 -19.64 -11.74 -28.14 c
|
|
||||||
-7.82 -8.5 -18.54 -13.89 -32.16 -16.16 c
|
|
||||||
15.47 -46.64 p
|
|
||||||
3.75 -11.44 7.5 -18.88 11.25 -22.33 c
|
|
||||||
3.75 -3.45 9.8 -5.41 18.16 -5.87 c
|
|
||||||
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|
|
||||||
4958.77 3107.03 -18.76 -64.96 P
|
|
||||||
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|
|
||||||
13.44 0 24.07 3.79 31.89 11.38 c
|
|
||||||
7.81 7.59 11.73 17.02 11.73 28.31 c
|
|
||||||
0 8.82 -2.45 15.57 -7.34 20.26 c
|
|
||||||
-4.89 4.69 -12.21 7.05 -21.98 7.05 c
|
|
||||||
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|
|
||||||
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|
|
||||||
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|
|
||||||
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|
|
||||||
609.602 276.398 7200 5400 re
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|
|
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|
|
||||||
5024 2895 113 73 @C
|
|
||||||
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|
|
||||||
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|
||||||
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|
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609.602 276.398 7200 5400 re
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31.2 w
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|
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||||||
1568.4 5010.4 484.8 -1332 S
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1586.4 4970.8 93.6 33.6 S
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1629.6 4858 91.2 33.6 S
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1670.4 4745.2 93.6 33.6 S
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1711.2 4632.4 93.6 33.6 S
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1752 4519.6 93.6 33.6 S
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1915.2 4068.4 93.6 36 S
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|
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|
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|
|
||||||
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|
|
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|
||||||
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|
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||||||
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|
|
||||||
9.08 7.74 15.41 18.73 18.96 32.96 c
|
|
||||||
3.54 14.16 2.74 25.11 -2.39 32.85 c
|
|
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|
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||||||
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|
||||||
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||||||
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|
||||||
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|
||||||
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|
||||||
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|
|
||||||
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|
|
||||||
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|
||||||
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||||||
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|
||||||
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|
||||||
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|
||||||
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|
||||||
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|
|
||||||
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|
||||||
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|
||||||
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|
||||||
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|
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||||||
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|
|
||||||
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|
||||||
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|
||||||
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|
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|
||||||
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|
||||||
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|
|
||||||
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|
||||||
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|
||||||
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|
|
||||||
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|
|
||||||
K
|
|
||||||
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|
|
||||||
4.76 0.86 9.17 1.29 13.23 1.29 c
|
|
||||||
3.9 0 7.51 -0.23 10.83 -0.7 c
|
|
||||||
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|
|
||||||
10.89 -2.46 20.39 -3.69 28.51 -3.69 c
|
|
||||||
8.66 0 16.02 1.54 22.07 4.6 c
|
|
||||||
6.05 3.06 11.92 8.18 17.62 15.34 c
|
|
||||||
3.86 -1.9 p
|
|
||||||
-8.04 -11.68 -17.52 -20.11 -28.45 -25.29 c
|
|
||||||
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|
|
||||||
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|
|
||||||
-18.03 4 -30.63 6 -37.81 6 c
|
|
||||||
-2.73 0 -4.96 -0.2 -6.68 -0.59 c
|
|
||||||
-1.71 -0.39 -4.29 -1.33 -7.73 -2.82 c
|
|
||||||
-2.69 3.18 48.05 38.12 p
|
|
||||||
-14.91 2.04 -26.2 8.59 -33.89 19.65 c
|
|
||||||
-7.69 11.06 -11.53 22.86 -11.53 35.41 c
|
|
||||||
0 17.18 5.18 34.94 15.53 53.29 c
|
|
||||||
10.35 18.35 23.59 32.57 39.73 42.64 c
|
|
||||||
16.13 10.08 31.97 15.12 47.52 15.12 c
|
|
||||||
11.56 0 21.43 -2.37 29.59 -7.08 c
|
|
||||||
8.16 -4.71 14.47 -11.56 18.93 -20.55 c
|
|
||||||
4.45 -8.99 6.72 -18.2 6.72 -27.62 c
|
|
||||||
0 -18.06 -5.12 -36.35 -15.35 -54.87 c
|
|
||||||
-10.23 -18.53 -22.93 -32.56 -38.11 -42.1 c
|
|
||||||
-15.18 -9.54 -31.32 -14.46 -48.41 -14.78 c
|
|
||||||
h
|
|
||||||
2535.55 1973 m
|
|
||||||
-7.81 0 -15.44 -1.97 -22.9 -5.89 c
|
|
||||||
-7.46 -3.91 -14.86 -10.32 -22.2 -19.21 c
|
|
||||||
-7.34 -8.89 -13.94 -20.54 -19.8 -34.93 c
|
|
||||||
-7.11 -17.71 -10.66 -34.43 -10.66 -50.16 c
|
|
||||||
0 -11.23 2.85 -21.17 8.55 -29.82 c
|
|
||||||
5.7 -8.66 14.45 -12.98 26.24 -12.98 c
|
|
||||||
7.03 0 13.98 1.78 20.85 5.34 c
|
|
||||||
6.87 3.55 13.98 9.61 21.32 18.14 c
|
|
||||||
9.37 10.91 17.22 24.79 23.54 41.63 c
|
|
||||||
6.32 16.84 9.5 32.49 9.5 46.96 c
|
|
||||||
0 10.67 -2.86 20.16 -8.56 28.46 c
|
|
||||||
-5.7 8.3 -14.33 12.47 -25.89 12.47 c
|
|
||||||
h
|
|
||||||
f
|
|
||||||
cleartomark end end pagesave restore
|
|
||||||
showpage
|
|
||||||
%%PageTrailer
|
|
||||||
%%Trailer
|
|
||||||
%%Pages: 1
|
|
||||||
@ -1,37 +0,0 @@
|
|||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
%\begin{figure}[!h]
|
|
||||||
%\centering
|
|
||||||
%\includegraphics[width=0.98\textwidth]{AngConv}
|
|
||||||
%\caption{Schematics of the scattering geometry in the diffraction plane. A Mythen II module is shown. $R_m$ is the distance from the module sensor plane (orthogonal to the diffraction plane) to the sample position $S$; $D_m$ the distance from the center of pixel $j=0$ to point $Q$, counted positively as the arrow on the module plane goes (\emph{i.e.}, oppositely to the direction of increasing $j$); $\Phi_m$ is the angle of the module plane normal with the beam direction, positive counterclockwise. $\alpha_{jm}$ is the angular position of the $j$-th pixel center with respect to the beam direction, positive counterclockwise.}
|
|
||||||
%\label{acon}
|
|
||||||
%\end{figure}
|
|
||||||
|
|
||||||
Mythen II modules are composed by 1280 pixels, each having width p=0.05~mm, and numbered with j=0,..,1279.
|
|
||||||
Angles are counted counterclockwise from the beam direction. For the m-th module, the angle $\alpha_{jm}$ of its j-th pixel center
|
|
||||||
can be determined using the three geometric parameters $R_m$~[mm], $\Phi_m$~[deg], $D_m$~[mm], as in \fref{acon}.
|
|
||||||
The detector group uses instead the 3 parameters center $c_m$~[\ ], offset $o_m$~[deg], conversion $k_m$~[\ ].
|
|
||||||
The law with the 3 geometric parameter is
|
|
||||||
\begin{equation}
|
|
||||||
\alpha_{jm}=\Phi_m-\lrb{\DSF{180}{\pi}}\arctan\lrb{\DSF{D_m-pj}{R_m}}
|
|
||||||
\end{equation}
|
|
||||||
The corresponding law using DG's parameters is
|
|
||||||
\begin{equation}
|
|
||||||
\alpha_{jm}=o_m+\lrb{\DSF{180}{\pi}}c_mk_m+\lrb{\DSF{180}{\pi}}\arctan\lrs{\lrb{j-c_m}k_m}
|
|
||||||
\end{equation}
|
|
||||||
One can convert the two forms by equating separately the term out of the arctan and the argument of arctan for two different values of j.
|
|
||||||
It results
|
|
||||||
\begin{eqnarray}
|
|
||||||
c_m&=&\DSF{D_m}{p};\\
|
|
||||||
k_m&=&\DSF{p}{R_m};\\
|
|
||||||
o_m&=&\Phi_m-\DSF{180}{\pi}\DSF{D_m}{R_m}.
|
|
||||||
\end{eqnarray}
|
|
||||||
Conversely,
|
|
||||||
\begin{eqnarray}
|
|
||||||
\Phi_m&=&o_m+\DSF{180}{\pi}c_mk_m;\\
|
|
||||||
R_m&=&\DSF{p}{k_m};\\
|
|
||||||
D_m&=&c_m p.
|
|
||||||
\end{eqnarray}
|
|
||||||
Binary file not shown.
@ -1,75 +0,0 @@
|
|||||||
DESTDIR=../docs
|
|
||||||
|
|
||||||
|
|
||||||
TEX=latex
|
|
||||||
|
|
||||||
|
|
||||||
MAINTEXS2= slsDetectorInstall.tex
|
|
||||||
MAINTEXS=slsDetectors-FAQ.tex
|
|
||||||
|
|
||||||
TEXS=slsDetector-softFAQ.tex singlePhotonCounting-FAQ.tex angConv-FAQ.tex generalDet-FAQ.tex
|
|
||||||
|
|
||||||
DVIS = $(MAINTEXS:.tex=.dvi)
|
|
||||||
PSS = $(MAINTEXS:.tex=.ps)
|
|
||||||
PDFS = $(MAINTEXS:.tex=.pdf)
|
|
||||||
PDFS2 = $(MAINTEXS2:.tex=.pdf)
|
|
||||||
HTMLS = $(MAINTEXS:%.tex=%)
|
|
||||||
HTMLS2 = $(MAINTEXS2:%.tex=%)
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
all: pdf html
|
|
||||||
echo $(PWD)
|
|
||||||
echo $(PDFS)
|
|
||||||
echo $(PDFS2)
|
|
||||||
echo $(HTMLS)
|
|
||||||
echo $(HTMLS2)
|
|
||||||
|
|
||||||
pdf: $(PDFS) $(PDFS2)
|
|
||||||
$(shell test -d $(DESTDIR) || mkdir -p $(DESTDIR))
|
|
||||||
$(shell test -d $(DESTDIR)/pdf || mkdir -p $(DESTDIR)/pdf)
|
|
||||||
mv $(PDFS) $(DESTDIR)/pdf
|
|
||||||
mv $(PDFS2) $(DESTDIR)/pdf
|
|
||||||
|
|
||||||
html: $(HTMLS) $(HTMLS2)
|
|
||||||
|
|
||||||
|
|
||||||
$(HTMLS): $(TEXS) $(MAINTEXS)
|
|
||||||
$(shell test -d $(DESTDIR) || mkdir -p $(DESTDIR))
|
|
||||||
$(shell test -d $(DESTDIR)/html || mkdir -p $(DESTDIR)/html)
|
|
||||||
$(shell test -d $(DESTDIR)/html/$@ && rm -fr $(DESTDIR)/html/$@)
|
|
||||||
echo "***************************** $@"
|
|
||||||
latex $@.tex
|
|
||||||
latex2html $@.tex
|
|
||||||
mv $@ $(DESTDIR)/html
|
|
||||||
|
|
||||||
$(HTMLS2): $(MAINTEXS2)
|
|
||||||
$(shell test -d $(DESTDIR) || mkdir -p $(DESTDIR))
|
|
||||||
$(shell test -d $(DESTDIR)/html || mkdir -p $(DESTDIR)/html)
|
|
||||||
$(shell test -d $(DESTDIR)/html/$@ && rm -fr $(DESTDIR)/html/$@)
|
|
||||||
echo "***************************** $@"
|
|
||||||
latex $@.tex
|
|
||||||
latex2html -split 16 -no_navigation -info "" -address "" -long_titles 5 -link 0 $@.tex
|
|
||||||
#-show_section_numbers $@.tex
|
|
||||||
# -local_icons
|
|
||||||
mv $@ $(DESTDIR)/html
|
|
||||||
|
|
||||||
|
|
||||||
%.dvi : %.tex $(TEXS)
|
|
||||||
latex $<
|
|
||||||
latex $<
|
|
||||||
|
|
||||||
%.ps : %.dvi
|
|
||||||
dvips -o $@ $<
|
|
||||||
|
|
||||||
|
|
||||||
%.pdf : %.ps
|
|
||||||
ps2pdf $< $@
|
|
||||||
|
|
||||||
|
|
||||||
clean:
|
|
||||||
rm -rf *.aux *.log *.toc *.out $(DVIS) $(PSS) $(PDFS) $(PDFS2) $(HTMLS) $(HTMLS2)
|
|
||||||
rm -rf $(DESTDIR)/html/slsDetectors-FAQ
|
|
||||||
rm -rf $(DESTDIR)/html/slsDetectorInstall
|
|
||||||
rm -rf $(DESTDIR)/pdf/slsDetectors-FAQ.pdf
|
|
||||||
rm -rf $(DESTDIR)/pdf/slsDetectorInstall.pdf
|
|
||||||
@ -1,875 +0,0 @@
|
|||||||
|
|
||||||
|
|
||||||
\subsection{Introduction}
|
|
||||||
\subsubsection{Notation}
|
|
||||||
|
|
||||||
[I use symbol $\TT$ for the diffraction angle $2\theta$]
|
|
||||||
|
|
||||||
\subsubsection{Observables}
|
|
||||||
The physical observable of interest in any scattering experiment is [1-3] the differential cross section
|
|
||||||
\[
|
|
||||||
\DSF{\DD{}\bf{\sigma}}{\DD{}\Omega}
|
|
||||||
\]
|
|
||||||
as a function of direction $\Omega$.
|
|
||||||
To measure that directly we should operate with zero-width point detectors, with instant measurement and unit incident intensity.
|
|
||||||
Practically
|
|
||||||
the quantity we can actually measure - putting a detector in a position covering a certain
|
|
||||||
solid angle for a certain time with a certain incident intensity - is
|
|
||||||
\[
|
|
||||||
{I_0}\Delta t \Delta\Omega\DSF{\DD{}\bf{\sigma}}{\DD{}\Omega}
|
|
||||||
\]
|
|
||||||
If $\Delta t$, $\Delta\Omega$ are small and known and $I_0$ is separately monitored,
|
|
||||||
we can (have to) normalize the observations by simply dividing them out.
|
|
||||||
|
|
||||||
Specifically for the powder diffraction field, historically, this is not usually done because
|
|
||||||
- as it is normally true with anode sources and point detectors and usual procedures -
|
|
||||||
the counting times $\Delta t$, the solid angle width $\Delta\Omega\propto \Delta \TT$
|
|
||||||
and the incident intensity $I_0$ are considered
|
|
||||||
constant and therefore go into some 'global scaling' constant that is usually considered arbitrary.
|
|
||||||
|
|
||||||
However, as we have more sophisticated acquisition methods,
|
|
||||||
we may need revert to the original approach and consider the
|
|
||||||
counts divided by time and angular width as the real observable.
|
|
||||||
|
|
||||||
\subsection{Basic binning}\label{sec:11}
|
|
||||||
|
|
||||||
\begin{itemize}
|
|
||||||
\item[1.\ ]{
|
|
||||||
We have several patterns, say $P$. Each $k$-th pattern, for $k=1,\ldots,P$, is
|
|
||||||
constituted by $N_k$ angular intervals in the diffraction angle $2\theta\equiv\TT$:
|
|
||||||
\[
|
|
||||||
b_{k,j}=\lrs{\TT_{k,j}^{-},\TT_{k,j}^{+}},\qquad j=1,\ldots,N_k
|
|
||||||
\]
|
|
||||||
of center
|
|
||||||
\[
|
|
||||||
\hat{b}_{k,j}=\DSF{\TT_{k,j}^{+}+\TT_{k,j}^{-}}{2}
|
|
||||||
\]
|
|
||||||
and width
|
|
||||||
\[
|
|
||||||
\lrv{b_{k,j}}=\TT_{k,j}^{+}-\TT_{k,j}^{-}
|
|
||||||
\]
|
|
||||||
To each interval is associated a counting $C_{k,j}$, an efficiency correction factor $e_{k,j}$, a
|
|
||||||
monitor $m_{k,j}$ (ionization chamber times acquisition time). All 'bad' intervals have been already flagged down and discarded.
|
|
||||||
Efficiency corrections and monitors are supposed to be normalized to a suitable value.
|
|
||||||
Note that intervals $b_{k,j}$ might have multiple overlaps and might not cover an compact angular
|
|
||||||
range. }
|
|
||||||
%
|
|
||||||
\item[2.\ ]{Following Mighell's statistics[6] and normal scaling procedures, we first
|
|
||||||
transform those numbers into associated intensities, intensity rates and relevant s.d.:
|
|
||||||
\[
|
|
||||||
I_{k,j}=\DSF{e_{k,j}}{m_{k,j}}\lrb{C_{k,j}+\min\lrb{1,C_{k,j}}}
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\sigma_{I_{k,j}}=\DSF{e_{k,j}}{m_{k,j}}\sqrt{\lrb{C_{k,j}+1}}
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
r_{k,j}=\DSF{I_{k,j}}{\lrv{b_{k,j}}}=\DSF{e_{k,j}}{m_{k,j}\lrv{b_{k,j}}}\lrb{C_{k,j}+\min\lrb{1,C_{k,j}}}
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\sigma_{r_{k,j}}=\DSF{\sigma_{I_{k,j}}}{\lrv{b_{k,j}}}=\DSF{e_{k,j}}{\lrv{b_{k,j}}m_{k,j}}\sqrt{\lrb{C_{k,j}+1}}
|
|
||||||
\]
|
|
||||||
}
|
|
||||||
\item[3.\ ]{
|
|
||||||
We set up the final binned grid,
|
|
||||||
composed of $M$ binning intervals
|
|
||||||
\[
|
|
||||||
B_\ell=[\TT_0+(\ell-1)B, \TT_0+\ell B],\qquad \ell=1,\ldots,M
|
|
||||||
\]
|
|
||||||
all contiguous and each having the same width \[\lrv{B_\ell}=B\] and each centered in
|
|
||||||
\[\hat{B}_\ell=\TT_0+(\ell-1/2)B,\]
|
|
||||||
covering completely the angular range between $\TT_0$ and $\TT_{max}=\TT_0+MB$.
|
|
||||||
}
|
|
||||||
\item[4.\ ]{
|
|
||||||
For bin $\ell$, we consider only and all the experimental intervals
|
|
||||||
\[
|
|
||||||
b_{k,j}\qquad\text{such\ that}\qquad \lrv{ b_{k,j}\cap B_\ell } > 0.
|
|
||||||
\]
|
|
||||||
More restrictively, one may require to consider only and all the experimental intervals
|
|
||||||
\[
|
|
||||||
b_{k,j}\qquad\text{such\ that}\qquad \hat{b}_{k,j}\in B_\ell .
|
|
||||||
\]
|
|
||||||
}
|
|
||||||
\item[5.\ ]{
|
|
||||||
In order to estimate the rate in each $\ell$-th bin,
|
|
||||||
we use all above selected rate estimates concerning bin $B_\ell$ and we get
|
|
||||||
a better one with the weighted average method. \\
|
|
||||||
In the weighted average method, we suppose to have a number $N_E$ of estimates $O_n$
|
|
||||||
of the same observable $O$,
|
|
||||||
each one with a known s.d. $\sigma_{O_n}$ and each (optionally) repeated with a frequency
|
|
||||||
$\nu_n$.
|
|
||||||
Then
|
|
||||||
\[
|
|
||||||
\langle O\rangle =\DSF{
|
|
||||||
\mathop{\sum}_{n=1}^{N_E}\nu_n
|
|
||||||
O_n\sigma_{O_n}^{-2}
|
|
||||||
}{
|
|
||||||
\mathop{\sum}_{n=1}^{N_E}\nu_n
|
|
||||||
\sigma_{O_n}^{-2}
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
%
|
|
||||||
Clearly the place of the frequencies in our case can be taken by coefficients
|
|
||||||
\[
|
|
||||||
\DSF{\lrv{ b_{k,j}\cap B_\ell }}{B}
|
|
||||||
\]
|
|
||||||
that weigh the $k,j$-th estimate by its relative extension within bin $B_\ell$.
|
|
||||||
}
|
|
||||||
\item[6.\ ]{
|
|
||||||
Now
|
|
||||||
we can simply accumulate registers
|
|
||||||
\[
|
|
||||||
X_\ell=\mathop{\sum_{k,j}}_{ \lrv{ b_{k,j}\cap B_\ell } > 0}
|
|
||||||
\DSF{\lrv{ b_{k,j}\cap B_\ell }}{B}\ r_{k,j}\ \lrb{\sigma_{r_{k,j}}}^{-2}
|
|
||||||
\]
|
|
||||||
and
|
|
||||||
\[
|
|
||||||
Y_\ell=\mathop{\sum_{k,j}}_{ \lrv{ b_{k,j}\cap B_\ell } > 0}
|
|
||||||
\DSF{\lrv{ b_{k,j}\cap B_\ell }}{B}\ \lrb{\sigma_{r_{k,j}}}^{-2}
|
|
||||||
\]
|
|
||||||
so that we can extract an intensity rate estimate (counts per unit diffraction angle and per unit time at constant incident intensity) as
|
|
||||||
\[
|
|
||||||
R_\ell=\DSF{X_\ell}{Y_\ell};
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\sigma_{R_\ell}=\DSF{1}{\sqrt{Y_\ell}}.
|
|
||||||
\]
|
|
||||||
Now optionally we can transforms rates in intensities (multiplying
|
|
||||||
both $R_\ell$ and $\sigma_{R_\ell}$ by $B$).
|
|
||||||
We can use any other scaling factor $K$ as we wish instead of $B$.
|
|
||||||
The best cosmetic scaling is the one where
|
|
||||||
\[
|
|
||||||
\mathop{\sum}_{\ell=1}^M\DSF{KR_\ell}{K^2\sigma_{R_\ell}^2}=
|
|
||||||
\DSF{1}{K}
|
|
||||||
\mathop{\sum}_{\ell=1}^M\DSF{R_\ell}{\sigma_{R_\ell}^2}=M
|
|
||||||
\]
|
|
||||||
as if the intensities were simply counts.
|
|
||||||
Therefore $K$ is given by
|
|
||||||
\[
|
|
||||||
K=\DSF{
|
|
||||||
1
|
|
||||||
}{
|
|
||||||
M
|
|
||||||
}\mathop{\sum}_{\ell=1}^M\DSF{R_\ell}{\sigma_{R_\ell}^2}
|
|
||||||
\]
|
|
||||||
|
|
||||||
In output then we give 3-column files
|
|
||||||
with columns
|
|
||||||
\[
|
|
||||||
\hat{B}_\ell, \quad KR_\ell, \quad K\sigma_{R_\ell}
|
|
||||||
\]
|
|
||||||
}
|
|
||||||
\end{itemize}
|
|
||||||
|
|
||||||
\subsubsection{Special nasty cases}
|
|
||||||
|
|
||||||
Here we explore some special cases to see the robustness
|
|
||||||
of the method.
|
|
||||||
|
|
||||||
1) If no experimental observation contributes to bin $B_\ell$ according to one of the criteria
|
|
||||||
above, then we shall find $X_\ell=0$ and especially $Y_\ell=0$. The latter condition is
|
|
||||||
valid as an exclusion condition
|
|
||||||
(meaning that we discard that point and we do not perform further operations on it,
|
|
||||||
neither do we output it).
|
|
||||||
|
|
||||||
2) if only one experimental observation - call it interval $b$, dropping indices - contributes
|
|
||||||
to bin $B_\ell$,
|
|
||||||
then we have
|
|
||||||
\[
|
|
||||||
X_\ell=\DSF{\lrv{ b\cap B_\ell }}{B}\
|
|
||||||
\DSF{e(C+1)}{m|b|}\
|
|
||||||
\lrb{
|
|
||||||
\DSF{|b|m}{e\sqrt{C+1}}
|
|
||||||
}^{2}
|
|
||||||
=\DSF{\lrv{ b\cap B_\ell }}{B}\DSF{|b|m}{e}
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
Y_\ell=\DSF{\lrv{ b\cap B_\ell }}{B}\
|
|
||||||
\lrb{
|
|
||||||
\DSF{|b|m}{e\sqrt{C+1}}
|
|
||||||
}^{2}
|
|
||||||
=\DSF{\lrv{ b\cap B_\ell }}{B}\DSF{|b|^2m^2}{e^2(C+1)}
|
|
||||||
\]
|
|
||||||
and so
|
|
||||||
\[
|
|
||||||
R_\ell=\DSF{X_\ell}{Y_\ell}=\DSF{e(C+1)}{m|b|}
|
|
||||||
\]
|
|
||||||
that is the experimental rate as in pixel $b$;
|
|
||||||
\[
|
|
||||||
\sigma_{R_\ell}=\DSF{1}{\sqrt{Y_\ell}}=
|
|
||||||
\sqrt{\DSF{B}{\lrv{ b\cap B_\ell }}}
|
|
||||||
%
|
|
||||||
\DSF{e\sqrt{(C+1)}}{|b|m}
|
|
||||||
\]
|
|
||||||
that is the same s.d. that can be calculated directly for $b$, augmented by factor
|
|
||||||
\[
|
|
||||||
\sqrt{\DSF{B}{\lrv{ b\cap B_\ell }}}
|
|
||||||
\]
|
|
||||||
that takes into account the extrapolation error.
|
|
||||||
|
|
||||||
\subsection{Advanced binning}\label{sec:2}
|
|
||||||
|
|
||||||
There are more advanced (and more complex) methods that take more carefully into account the real position of the centers $\hat{b}_{j,k}$ w.r.t. $\hat{B}_\ell$.
|
|
||||||
If we find out that it is the case we may develop them too.
|
|
||||||
|
|
||||||
|
|
||||||
\subsection{Poisson and normal statistics for diffraction}
|
|
||||||
|
|
||||||
The normal situation for diffraction data
|
|
||||||
is that the observed signal is a photon count.
|
|
||||||
Therefore it follows a Poisson distribution.
|
|
||||||
If we have a count value $C_0$ that follows a Poisson distribution,
|
|
||||||
we can assume immediately that the average is equal to $C_0$ and the s.d. is $\sqrt{C_0}$.
|
|
||||||
I.e., repeated experiments would give values $n$
|
|
||||||
distributed according to the normalized distribution
|
|
||||||
\[
|
|
||||||
P(n)=\DSF{C_0^n\EE^{-C_0}
|
|
||||||
}{
|
|
||||||
n!}
|
|
||||||
\]
|
|
||||||
This obeys
|
|
||||||
\[
|
|
||||||
\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
P(n)=1\ ;
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\langle n\rangle=\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
nP(n)=C_0\ ;
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\langle n^2\rangle=\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
n^2 P(n)=C_0^2+C_0\ ;
|
|
||||||
\]
|
|
||||||
The standard deviation comes then to
|
|
||||||
\[
|
|
||||||
\sigma_{C_0}=\sqrt{\langle n^2\rangle-\langle n\rangle^2}=\sqrt{C_0}
|
|
||||||
\]
|
|
||||||
|
|
||||||
When the data have to be analyzed, one must compare observations with a model
|
|
||||||
which gives calculated values of the observations in dependence of a certain set of
|
|
||||||
parameters. The best values of the parameters (the target of investigation)
|
|
||||||
are the one that maximize the likelihood function [4,5]. The likelihood function for
|
|
||||||
Poisson variates is pretty difficult to use; furthermore, even simple data manipulations
|
|
||||||
are not straightforward with Poisson variates (see \sref{sec:3}). The common choice is to approximate
|
|
||||||
Poisson variates with normal variates, and then use the much easier formalism
|
|
||||||
of normal distribution to a) do basic data manipulations and b) fit data with model.
|
|
||||||
To the latter task, in fact, the likelihood function is maximized simply by minimizing
|
|
||||||
the usual weighted-$\chi^2$[4] :
|
|
||||||
\[
|
|
||||||
\chi^2 = \mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}
|
|
||||||
\DSF{\lrb{F_j-O_j}^2
|
|
||||||
}{
|
|
||||||
\sigma_j^2
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
where $O_j$ are the experimentally observed values, $F_j$ the calculated model values,
|
|
||||||
$\sigma_j$ the s.d.s of the observations.
|
|
||||||
|
|
||||||
Substituting directly the counts (and derived s.d.s) for the observations in the former :
|
|
||||||
\[
|
|
||||||
\chi_{(0)}^2 = \mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}
|
|
||||||
\DSF{\lrb{F_j-C_j}^2
|
|
||||||
}{
|
|
||||||
C_j
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
is the most common way. It is \emph{slightly} wrong to do so, however [6],
|
|
||||||
the error being large only when the counts are low.
|
|
||||||
There is also a divergence for zero counts.
|
|
||||||
In fact, a slightly modified form [6] exists, reading
|
|
||||||
\[
|
|
||||||
\chi_{(1)}^2 = \mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}
|
|
||||||
\DSF{\lrb{F_j-\lrb{C_j+\min\lrb{1,C_j}}}^2
|
|
||||||
}{
|
|
||||||
C_j+1
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
Minimizing this form of $\chi^2$ is equivalent - to an exceptionally good approximation [6]-
|
|
||||||
to maximizing the proper Poisson-likelihood.
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\subsection{Average vs. weighted average}
|
|
||||||
|
|
||||||
\subsubsection{Simple average}
|
|
||||||
|
|
||||||
Suppose we have $N_{\mathrm{obs}}$ Poisson-variate experimental evaluations
|
|
||||||
$C_j,\quad j=1\ldots N_{\mathrm{obs}}$,
|
|
||||||
of the same quantity $x$.
|
|
||||||
There are different ways to obtain from all $N_{\mathrm{obs}}$ data values a single estimate of the observable which is better than
|
|
||||||
any of them. The most straightforward and the best is the simple average
|
|
||||||
\[
|
|
||||||
x=\langle x\rangle=\DSF{1}{ N_{\mathrm{obs}}}
|
|
||||||
\mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}C_j\ .
|
|
||||||
\]
|
|
||||||
As the sum of Poisson variates is a Poisson variate, the standard deviation
|
|
||||||
\[
|
|
||||||
\sigma_x=\sqrt{\langle x^2\rangle-\langle x\rangle^2}=\sqrt{
|
|
||||||
\DSF{1}{ N_{\mathrm{obs}}}
|
|
||||||
\mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}C_j^2-\lrb{
|
|
||||||
\DSF{1}{ N_{\mathrm{obs}}}
|
|
||||||
\mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}C_j
|
|
||||||
}
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
can be evaluated more comfortably as
|
|
||||||
\[
|
|
||||||
\sigma_x=\DSF{1}{ N_{\mathrm{obs}}}\sqrt{ \mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}C_j }
|
|
||||||
=\sqrt{\DSF{\langle x\rangle}{N_{\mathrm{obs}}}}
|
|
||||||
\]
|
|
||||||
|
|
||||||
|
|
||||||
\subsubsection{Zero-skipping average}
|
|
||||||
|
|
||||||
In some cases, in order to avoid possible singularities,
|
|
||||||
values $C_j=0$ are skipped. Then if $N_{\mathrm{obs}}^*$ is the number of non-zero data points,
|
|
||||||
we can evaluate the 'zero-skipping' average as
|
|
||||||
\[
|
|
||||||
x=\langle x\rangle^*=\DSF{1}{ N_{\mathrm{obs}}^*}
|
|
||||||
\mathop{\sum}_ {\stackrel{1\leqslant j\leqslant N_{\mathrm{obs}}}{{C_j>0}}}
|
|
||||||
C_j=\DSF{1}{ N_{\mathrm{obs}}^*}
|
|
||||||
\mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}C_j = \DSF{N_{\mathrm{obs}}}{N_{\mathrm{obs}}^*}\langle x\rangle
|
|
||||||
\]
|
|
||||||
The standard deviation is then
|
|
||||||
\[
|
|
||||||
\sigma_{x^*}= \DSF{N_{\mathrm{obs}}}{N_{\mathrm{obs}}^*}\sigma_x = \sqrt{\DSF{N_{\mathrm{obs}}}{N_{\mathrm{obs}}^*}}
|
|
||||||
\sqrt{\DSF{\langle x\rangle}{N_{\mathrm{obs}}^*}}=\sqrt{\DSF{\langle x\rangle^*}{N_{\mathrm{obs}}^*}}
|
|
||||||
\]
|
|
||||||
Note that the s.d. is evaluated exactly as if the non-zero $C_j$ were the only observations,
|
|
||||||
whilst the average is overestimated by the fraction of zero-counting events.
|
|
||||||
|
|
||||||
\subsubsection{Weighted average: definition and relationship with $\chi^2$}
|
|
||||||
|
|
||||||
A weighted average is the result of the special case of a data fitting to a model function which is a constant.
|
|
||||||
It is easy to see that minimizing w.r.t $x$
|
|
||||||
\[
|
|
||||||
\chi^2 = \mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}
|
|
||||||
\DSF{\lrb{x-O_j}^2
|
|
||||||
}{
|
|
||||||
\sigma_j^2
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
yields
|
|
||||||
\[
|
|
||||||
x= \langle x \rangle_{\!\mathrm{w}}=\DSF{
|
|
||||||
\mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}
|
|
||||||
\DSF{O_j
|
|
||||||
}{
|
|
||||||
\sigma_j^2
|
|
||||||
}
|
|
||||||
}{
|
|
||||||
\mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}
|
|
||||||
\DSF{1
|
|
||||||
}{
|
|
||||||
\sigma_j^2
|
|
||||||
}
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
The good-faith s.d. (square-root of twice the inverse of the second derivative of $\chi^2$ at the minimum)
|
|
||||||
is then
|
|
||||||
\[
|
|
||||||
\sigma_{\langle x \rangle_{\!\mathrm{w}}} = \DSF{
|
|
||||||
1
|
|
||||||
}{\sqrt{
|
|
||||||
\mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}
|
|
||||||
\DSF{1
|
|
||||||
}{
|
|
||||||
\sigma_j^2
|
|
||||||
}
|
|
||||||
}}
|
|
||||||
\]
|
|
||||||
I use the term 'good-faith' to indicate the case when it is really appropriate to use a constant as a model functions,
|
|
||||||
i.e. when the observations are truly different observations of the same observable.
|
|
||||||
When this is not the case but we do not know what to do better we can at least increase the s.d.
|
|
||||||
In fact, there is a correction factor for the s.d., given - in this case - by
|
|
||||||
\[
|
|
||||||
\mathsf{GoF}=
|
|
||||||
\sqrt{
|
|
||||||
\DSF{
|
|
||||||
\mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}
|
|
||||||
\DSF{O_j^2
|
|
||||||
}{
|
|
||||||
\sigma_j^2
|
|
||||||
}
|
|
||||||
-\DSF{
|
|
||||||
\lrs{
|
|
||||||
\mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}
|
|
||||||
\DSF{O_j
|
|
||||||
}{
|
|
||||||
\sigma_j^2
|
|
||||||
}
|
|
||||||
}^2
|
|
||||||
}{ \mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}
|
|
||||||
\DSF{1
|
|
||||||
}{
|
|
||||||
\sigma_j^2
|
|
||||||
} }
|
|
||||||
}{
|
|
||||||
N_{\mathrm{obs}}-1
|
|
||||||
}
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
so that
|
|
||||||
\[
|
|
||||||
{\sigma}_{\langle x \rangle_{\!\mathrm{w}}}^{\mathrm{corrected}} = \mathsf{GoF}\ \sigma_{\langle x \rangle_{\!\mathrm{w}}}
|
|
||||||
\]
|
|
||||||
|
|
||||||
Specializing now to the two cases above,
|
|
||||||
|
|
||||||
\subsubsection{Straight Poisson (zero-skipping) weighted average}
|
|
||||||
|
|
||||||
When $O_j=C_j$ and $\sigma_j^2=C_j$
|
|
||||||
\[
|
|
||||||
\langle x \rangle_{\!\mathrm{w(1)}}=\DSF{
|
|
||||||
{N_{\mathrm{obs}}}
|
|
||||||
}{
|
|
||||||
\mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}
|
|
||||||
\DSF{1
|
|
||||||
}{
|
|
||||||
C_j
|
|
||||||
}
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
Here we need to eliminate the singularity when $C_j=0$. In order to do so, we skip data points which are zero.
|
|
||||||
Then if $N_{\mathrm{obs}}^*$ is the number of non-zero data points,
|
|
||||||
\[
|
|
||||||
\langle x \rangle_{\!\mathrm{w(1)}}=\DSF{
|
|
||||||
{N_{\mathrm{obs}}^*}
|
|
||||||
}{
|
|
||||||
\mathop{\sum}_{\stackrel{1\leqslant j\leqslant N_{\mathrm{obs}}}{{C_j>0}}}
|
|
||||||
\DSF{1
|
|
||||||
}{
|
|
||||||
C_j
|
|
||||||
}
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\sigma_{\langle x \rangle_{\!\mathrm{w(1)}}} = \DSF{
|
|
||||||
1
|
|
||||||
}{\sqrt{
|
|
||||||
\mathop{\sum}_{\stackrel{1\leqslant j\leqslant N_{\mathrm{obs}}}{{C_j>0}}}
|
|
||||||
\DSF{1
|
|
||||||
}{
|
|
||||||
C_j
|
|
||||||
}
|
|
||||||
}}=\sqrt{\DSF{\langle x \rangle_{\!\mathrm{w(1)}}}{
|
|
||||||
N_{\mathrm{obs}}^*
|
|
||||||
}}
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\mathsf{GoF}_{(1)}=
|
|
||||||
\sqrt{
|
|
||||||
\DSF{
|
|
||||||
\mathop{\sum}_{\stackrel{1\leqslant j\leqslant N_{\mathrm{obs}}}{{C_j>0}}}
|
|
||||||
\!\!\!\!C_j
|
|
||||||
%
|
|
||||||
-\DSF{
|
|
||||||
\lrs{
|
|
||||||
N_{\mathrm{obs}}^*
|
|
||||||
}^2
|
|
||||||
}{ \mathop{\sum}_{\stackrel{1\leqslant j\leqslant N_{\mathrm{obs}}}{{C_j>0}}}
|
|
||||||
\DSF{1
|
|
||||||
}{
|
|
||||||
C_j
|
|
||||||
} }
|
|
||||||
}{
|
|
||||||
N_{\mathrm{obs}}^*-1
|
|
||||||
}
|
|
||||||
}
|
|
||||||
=\sqrt{
|
|
||||||
\DSF{N_{\mathrm{obs}}^*}{N_{\mathrm{obs}}^*-1}
|
|
||||||
\lrb{
|
|
||||||
\langle x\rangle^*-\langle x \rangle_{\!\mathrm{w(1)}}
|
|
||||||
}
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
where $\langle x\rangle^*$ is the simple average of the non-zero data points; and of course
|
|
||||||
\[
|
|
||||||
{\sigma}_{\langle x \rangle_{\!\mathrm{w(1)}}}^{\mathrm{corrected}} = \mathsf{GoF}_{(1)}\ \sigma_{\langle x \rangle_{\!\mathrm{w(1)}}}
|
|
||||||
\]
|
|
||||||
|
|
||||||
\subsubsection{Mighell-Poisson weighted average}
|
|
||||||
|
|
||||||
When $O_j=C_j+\min\lrb{1,C_j}$ and $\sigma_j^2=C_j+1$
|
|
||||||
\[
|
|
||||||
\langle x \rangle_{\!\mathrm{w(2)}}=\DSF{
|
|
||||||
{N_{\mathrm{obs}}^*}
|
|
||||||
}{
|
|
||||||
\mathop{\sum}_{\stackrel{1\leqslant j\leqslant N_{\mathrm{obs}}}{{C_j>0}}}
|
|
||||||
\DSF{1
|
|
||||||
}{
|
|
||||||
C_j+1
|
|
||||||
}
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\sigma_{\langle x \rangle_{\!\mathrm{w(2)}}} = \DSF{
|
|
||||||
1
|
|
||||||
}{\sqrt{
|
|
||||||
\mathop{\sum}_{\stackrel{1\leqslant j\leqslant N_{\mathrm{obs}}}{{C_j>0}}}
|
|
||||||
\DSF{1
|
|
||||||
}{
|
|
||||||
C_j+1
|
|
||||||
}
|
|
||||||
}}=\sqrt{\DSF{\langle x \rangle_{\!\mathrm{w(2)}}}{
|
|
||||||
N_{\mathrm{obs}}^*
|
|
||||||
}}
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\mathsf{GoF}_{(2)}=
|
|
||||||
\sqrt{
|
|
||||||
\DSF{
|
|
||||||
\mathop{\sum}_{\stackrel{1\leqslant j\leqslant N_{\mathrm{obs}}}{{C_j>0}}}
|
|
||||||
\!\!\!\!C_j+N_{\mathrm{obs}}^*
|
|
||||||
%
|
|
||||||
-\DSF{
|
|
||||||
\lrs{
|
|
||||||
N_{\mathrm{obs}}^*
|
|
||||||
}^2
|
|
||||||
}{ \mathop{\sum}_{\stackrel{1\leqslant j\leqslant N_{\mathrm{obs}}}{{C_j>0}}}
|
|
||||||
\DSF{1
|
|
||||||
}{
|
|
||||||
C_j+1
|
|
||||||
} }
|
|
||||||
}{
|
|
||||||
N_{\mathrm{obs}}^*-1
|
|
||||||
}
|
|
||||||
}
|
|
||||||
=\sqrt{
|
|
||||||
\DSF{N_{\mathrm{obs}}^*}{N_{\mathrm{obs}}^*-1}
|
|
||||||
\lrb{
|
|
||||||
\langle x\rangle^*-\langle x \rangle_{\!\mathrm{w(2)}}+1
|
|
||||||
}
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
where $\langle x\rangle^*$ is the simple average of the non-zero data points; and of course
|
|
||||||
\[
|
|
||||||
{\sigma}_{\langle x \rangle_{\!\mathrm{w(2)}}}^{\mathrm{corrected}} = \mathsf{GoF}_{(2)}\ \sigma_{\langle x \rangle_{\!\mathrm{w(2)}}}
|
|
||||||
\]
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\subsubsection{Comparison}
|
|
||||||
|
|
||||||
We have seen four different ways to take an average -
|
|
||||||
two simple averages (the second skipping zero values)
|
|
||||||
and two weighted averages (using straight Poisson and Poisson-Mighell [6] $\chi^2$ formulations).
|
|
||||||
We know that the simple average (not skipping zeros) is the best possible result. However,
|
|
||||||
there are inconveniences with it. If for instance we need to scale our data before averaging, then the
|
|
||||||
simple average is no more usable (it will give the correct average but a bad estimate of the s.d.) .
|
|
||||||
In any case, the passage to normal statistics (using Mighell's correction) needs to be done before or later.
|
|
||||||
Therefore a comparison is due in order to ascertain
|
|
||||||
how wrong can it be using the different methods.
|
|
||||||
|
|
||||||
We have to give a measure of what is negligible first.
|
|
||||||
The relative error is a measure of the smallest relative variation of an estimate $x$ that is \emph{not} negligible:
|
|
||||||
\[
|
|
||||||
\epsilon_x = \DSF{\sigma_x}{x}
|
|
||||||
\]
|
|
||||||
We shall then consider negligible
|
|
||||||
(w.r.t. $x$) terms whose relative magnitude is $O(\epsilon_x^2)$.
|
|
||||||
As the s.d. of $x$ is $\propto\epsilon_x$, we may not discard terms $O(\epsilon_x^2)$ on the s.d.;
|
|
||||||
there instead we may neglect terms $O(\epsilon_x^3)$.
|
|
||||||
|
|
||||||
|
|
||||||
\subsubsection{Analytical comparison of averages}
|
|
||||||
|
|
||||||
First we give an analytical comparison between simple average and Mighell-Poisson weighted average
|
|
||||||
for $N_{\mathrm{obs}}=2$.
|
|
||||||
If the two events are $C_1$ and $C_2$, then
|
|
||||||
\[
|
|
||||||
\langle x \rangle=\DSF{C_1+C_2}{2}; \qquad \sigma_x=\DSF{\sqrt{C_1+C_2}}{2}
|
|
||||||
\]
|
|
||||||
For the M-P weighted average,
|
|
||||||
\[
|
|
||||||
\langle x \rangle_{\mathrm{w(2)}}=\DSF{2(C_1+1)(C_2+1)}{C_1+C_2+2}; \qquad
|
|
||||||
\sigma_{\langle x \rangle_{\mathrm{w(2)}}}=\sqrt{\DSF{(C_1+1)(C_2+1)}{C_1+C_2+2}}
|
|
||||||
\]
|
|
||||||
|
|
||||||
Now, supposing that the common 'true' value of $C_1,C_2$ is $\lambda$,
|
|
||||||
we use the Poisson distribution to compare the expectation values of the two results. The expectation value of the simple average is
|
|
||||||
\[
|
|
||||||
E\lrb{\langle x \rangle} = \mathop{\sum}_{m,n=0}^{+\infty}
|
|
||||||
\DSF{n+m}{2}P(n)P(m)=\mathop{\sum}_{m=0}^{+\infty}
|
|
||||||
\DSF{m}{2}\DSF{\lambda^m\EE^{-\lambda}}{m!}
|
|
||||||
+\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
\DSF{n}{2}\DSF{\lambda^n\EE^{-\lambda}}{n!}
|
|
||||||
=\lambda
|
|
||||||
\]
|
|
||||||
As expected, the simple average gives the true value.
|
|
||||||
For its variance,
|
|
||||||
\[
|
|
||||||
E\lrb{\sigma_x^2} = \mathop{\sum}_{m,n=0}^{+\infty}
|
|
||||||
\DSF{n+m}{4}P(n)P(m)=\DSF{
|
|
||||||
\lambda}{2};\qquad E\lrb{\sigma_x} =\sqrt{\DSF{\lambda}{2}}
|
|
||||||
\]
|
|
||||||
|
|
||||||
|
|
||||||
In order to evaluate the difference with the M-P weighted average, we rewrite the latter as
|
|
||||||
\[
|
|
||||||
\langle x \rangle_{\mathrm{w(2)}}=\langle x \rangle + 1 -\DSF{(C_1-C_2)^2}{4(\langle x \rangle+1)}
|
|
||||||
\]
|
|
||||||
and calculate the expectation value of the last term:
|
|
||||||
\[
|
|
||||||
E\lrb{\DSF{(C_1-C_2)^2}{4(\langle x \rangle+1)}} =
|
|
||||||
\mathop{\sum}_{m,n=0}^{+\infty}
|
|
||||||
\DSF{(n-m)^2}{2(n+m+2) }P(n)P(m)=\DSF{\EE^{-2\lambda}}{2}
|
|
||||||
\mathop{\sum}_{m,n=0}^{+\infty}
|
|
||||||
\DSF{(n-m)^2}{(n+m+2) }\DSF{\lambda^{n+m}}{n!m!}
|
|
||||||
\]
|
|
||||||
Rearranging the sums with $s=n+m$, $s=0\ldots +\infty$; $n-m=s-2k$, $k=0\ldots s$,
|
|
||||||
we get
|
|
||||||
\[
|
|
||||||
E\lrb{\DSF{(C_1-C_2)^2}{4(\langle x \rangle+1)}} =
|
|
||||||
\DSF{\EE^{-2\lambda}}{2}
|
|
||||||
\mathop{\sum}_{s=0}^{+\infty}
|
|
||||||
\mathop{\sum}_{k=0}^{s}
|
|
||||||
\DSF{(s-2k)^2(s+1)}{(s+2)! }{\lambda^{s}}
|
|
||||||
\binom{s}{k}=\DSF{1}{2}-\DSF{1}{2\lambda}+\DSF{1-\EE^{-2\lambda}}{4\lambda^2}
|
|
||||||
%{n!m!}
|
|
||||||
\]
|
|
||||||
So, the relative difference between averages is
|
|
||||||
\[
|
|
||||||
\DSF{E\lrb{\langle x \rangle_{\mathrm{w(2)}}-\langle x \rangle}}{E\lrb{\langle x \rangle}}=
|
|
||||||
\DSF{1}{2\lambda}+\DSF{1}{2\lambda^2}-\DSF{1-\EE^{-2\lambda}}{4\lambda^3}
|
|
||||||
\]
|
|
||||||
The relative error on $\langle x \rangle$ is
|
|
||||||
\[
|
|
||||||
\epsilon = \DSF{\sigma_x}{\langle x \rangle} =
|
|
||||||
\DSF{\lambda^{1/2}}{\sqrt{2} \lambda}=\DSF{1}{\sqrt{2\lambda}}
|
|
||||||
\]
|
|
||||||
therefore
|
|
||||||
\[
|
|
||||||
\DSF{E\lrb{\langle x \rangle_{\mathrm{w(2)}}-\langle x \rangle}}{E\lrb{\langle x \rangle}}=
|
|
||||||
O(\epsilon^2)
|
|
||||||
\]
|
|
||||||
Therefore, the expectation value of the error (relative) involved in taking
|
|
||||||
the M-P weighted average instead of the simple average is negligible.
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\subsubsection{Numerical comparison of averages}
|
|
||||||
|
|
||||||
In the next table numerical results are displayed. An exact random-Poisson generator has been used to generate Poisson deviates of given average value
|
|
||||||
$\lambda$, with $\lambda=1,10,100,\ldots,1000000$. For each value $\lambda$
|
|
||||||
$N=10^8$ deviates have been generated. Then averages have been taken for each value $\lambda$ and compared with the true value.
|
|
||||||
For each value $\lambda$ - in order to have a scale for comparison -
|
|
||||||
we evaluate the expected absolute s.d. of averages as $\xi_\lambda=\sqrt{\lambda/N}$, and the relative s.d. of averages as $\epsilon_\lambda=\sqrt{\lambda/N}/\lambda=1/\sqrt{N\lambda}$. Then - for each averaging method - we evaluate the error $E_\lambda$ (average minus $\lambda$),
|
|
||||||
the relative error $e_\lambda=E_\lambda/\lambda$, and finally the comparison criterion $e_\lambda/\epsilon_\lambda$ (bold). The comparison criterion is expected to be close to 1 in absolute value. Values much larger than one mean that we are introducing a systematic error.
|
|
||||||
|
|
||||||
\footnotesize
|
|
||||||
|
|
||||||
\begin{tabular}{l|llll}
|
|
||||||
\footnotesize
|
|
||||||
% # trials N = 100000000
|
|
||||||
\ &&&&\ \\
|
|
||||||
& \multicolumn{4}{l}{$\lambda =$ 1. ; $\xi_\lambda = $0.0001 ; $\epsilon_\lambda$ = 0.0001}\\
|
|
||||||
& ${\langle x \rangle_{\!\mathrm{w(1)}}}$ & ${\langle x \rangle_{\!\mathrm{w(2)}}}$ & $\langle x \rangle^*$ & $\langle x \rangle$\\
|
|
||||||
Averages & 1.303772380383934 & 0.9999155361216990 & 1.581941754994651 & 0.9999283300000000 \\
|
|
||||||
$E_\lambda$ & 0.3037723803839338 & -0.8446387830096658E-04 & 0.5819417549946508 & -0.7166999999996815E-04\\
|
|
||||||
$e_\lambda$ & 0.3037723803839338 & -0.8446387830096658E-04 & 0.5819417549946508 & -0.7166999999996815E-04\\
|
|
||||||
$e_\lambda/\epsilon_\lambda$ &{\textbf{ 3037.723803839338 }}&{\textbf{ -0.8446387830096658 }}&{\textbf{ 5819.417549946508 }}&{\textbf{ -0.7166999999996815 }} \\
|
|
||||||
\ &&&&\ \\
|
|
||||||
& \multicolumn{4}{l}{$\lambda =$ 10.000000000000002 ; $\xi_\lambda = $0.00031622776601683794 ; $\epsilon_\lambda$ = 0.00003162277660168379}\\
|
|
||||||
& ${\langle x \rangle_{\!\mathrm{w(1)}}}$ & ${\langle x \rangle_{\!\mathrm{w(2)}}}$ & $\langle x \rangle^*$ & $\langle x \rangle$\\
|
|
||||||
Averages & 8.848248847530357 & 10.00025732384808 & 10.00052232372917 & 10.00006800000000 \\
|
|
||||||
$E_\lambda$ & -1.151751152469645 & 0.2573238480785278E-03 & 0.5223237291644978E-03 & 0.6799999999884676E-04\\
|
|
||||||
$e_\lambda$ & -0.1151751152469645 & 0.2573238480785278E-04 & 0.5223237291644977E-04 & 0.6799999999884675E-05\\
|
|
||||||
$e_\lambda/\epsilon_\lambda$ &{\textbf{ -3642.156939527943 }}&{\textbf{ 0.8137294562072904 }}&{\textbf{ 1.651732660112730 }}&{\textbf{ 0.2150348808878029 }} \\
|
|
||||||
\ &&&&\ \\
|
|
||||||
& \multicolumn{4}{l}{$\lambda =$ 100.00000000000004 ; $\xi_\lambda = $0.0010000000000000002 ; $\epsilon_\lambda$ = 0.000009999999999999997}\\
|
|
||||||
& ${\langle x \rangle_{\!\mathrm{w(1)}}}$ & ${\langle x \rangle_{\!\mathrm{w(2)}}}$ & $\langle x \rangle^*$ & $\langle x \rangle$\\
|
|
||||||
Averages & 98.98978896904168 & 100.0001037814804 & 100.0002153600000 & 100.0002153600000 \\
|
|
||||||
$E_\lambda$ & -1.010211030958359 & 0.1037814803765968E-03 & 0.2153599999559219E-03 & 0.2153599999559219E-03\\
|
|
||||||
$e_\lambda$ & -0.1010211030958359E-01 & 0.1037814803765968E-05 & 0.2153599999559218E-05 & 0.2153599999559218E-05\\
|
|
||||||
$e_\lambda/\epsilon_\lambda$ &{\textbf{ -1010.211030958359 }}&{\textbf{ 0.1037814803765968 }}&{\textbf{ 0.2153599999559219 }}&{\textbf{ 0.2153599999559219 }} \\
|
|
||||||
\ &&&&\ \\
|
|
||||||
& \multicolumn{4}{l}{$\lambda =$ 1000.0000000000007 ; $\xi_\lambda = $0.0031622776601683803 ; $\epsilon_\lambda$ = 0.000003162277660168378}\\
|
|
||||||
& ${\langle x \rangle_{\!\mathrm{w(1)}}}$ & ${\langle x \rangle_{\!\mathrm{w(2)}}}$ & $\langle x \rangle^*$ & $\langle x \rangle$\\
|
|
||||||
Averages & 999.0029754507847 & 1000.003978305674 & 1000.003836760000 & 1000.003836760000 \\
|
|
||||||
$E_\lambda$ & -0.9970245492160075 & 0.3978305673513205E-02 & 0.3836759999330752E-02 & 0.3836759999330752E-02\\
|
|
||||||
$e_\lambda$ & -0.9970245492160069E-03 & 0.3978305673513202E-05 & 0.3836759999330750E-05 & 0.3836759999330750E-05\\
|
|
||||||
$e_\lambda/\epsilon_\lambda$ &{\textbf{ -315.2868458625229 }}&{\textbf{ 1.258050715667192 }}&{\textbf{ 1.213290043331128 }}&{\textbf{ 1.213290043331128 }} \\
|
|
||||||
\ &&&&\ \\
|
|
||||||
& \multicolumn{4}{l}{$\lambda =$ 10000.00000000001 ; $\xi_\lambda = $0.010000000000000005 ; $\epsilon_\lambda$ = 9.999999999999995E-7}\\
|
|
||||||
& ${\langle x \rangle_{\!\mathrm{w(1)}}}$ & ${\langle x \rangle_{\!\mathrm{w(2)}}}$ & $\langle x \rangle^*$ & $\langle x \rangle$\\
|
|
||||||
Averages & 9998.995728116572 & 9999.995828163173 & 9999.995919900000 & 9999.995919900000 \\
|
|
||||||
$E_\lambda$ & -1.004271883437468 & -0.4171836835666909E-02 &-0.4080100008650334E-02 &-0.4080100008650334E-02\\
|
|
||||||
$e_\lambda$ & -0.1004271883437467E-03 & -0.4171836835666905E-06 & -0.4080100008650330E-06 &-0.4080100008650330E-06\\
|
|
||||||
$e_\lambda/\epsilon_\lambda$ &{\textbf{ -100.4271883437468 }}&{\textbf{ -0.4171836835666907 }}&{\textbf{ -0.4080100008650331 }}&{\textbf{ -0.4080100008650331 }} \\
|
|
||||||
\ &&&&\ \\
|
|
||||||
& \multicolumn{4}{l}{$\lambda =$ 100000.0000000002 ; $\xi_\lambda = $0.031622776601683826 ; $\epsilon_\lambda$ = 3.162277660168376E-7}\\
|
|
||||||
& ${\langle x \rangle_{\!\mathrm{w(1)}}}$ & ${\langle x \rangle_{\!\mathrm{w(2)}}}$ & $\langle x \rangle^*$ & $\langle x \rangle$\\
|
|
||||||
Averages & 99999.01275394148 & 100000.0127639189 & 100000.0125627100 & 100000.0125627100 \\
|
|
||||||
$E_\lambda$ & -0.9872460587212117 & 0.1276391866849735E-01 & 0.1256270980229601E-01 & 0.1256270980229601E-01\\
|
|
||||||
$e_\lambda$ & -0.9872460587212097E-05 & 0.1276391866849733E-06 & 0.1256270980229599E-06 & 0.1256270980229599E-06\\
|
|
||||||
$e_\lambda/\epsilon_\lambda$ &{\textbf{ -31.21946156583365 }}&{\textbf{ 0.4036305486159527 }}&{\textbf{ 0.3972677655897895 }}&{\textbf{ 0.3972677655897895 }} \\
|
|
||||||
\ &&&&\ \\
|
|
||||||
& \multicolumn{4}{l}{$\lambda =$ 1000000.0000000013 ; $\xi_\lambda = $0.10000000000000006 ; $\epsilon_\lambda$ = 9.999999999999993E-8}\\
|
|
||||||
& ${\langle x \rangle_{\!\mathrm{w(1)}}}$ & ${\langle x \rangle_{\!\mathrm{w(2)}}}$ & $\langle x \rangle^*$ & $\langle x \rangle$\\
|
|
||||||
Averages & 999999.1188353101 & 1000000.118835812 & 1000000.118809340 & 1000000.118809340 \\
|
|
||||||
$E_\lambda$ & -0.8811646911781281 & 0.1188358106883243 & 0.1188093387754634 & 0.1188093387754634 \\
|
|
||||||
$e_\lambda$ & -0.8811646911781270E-06 & 0.1188358106883241E-06 & 0.1188093387754633E-06 & 0.1188093387754633E-06\\
|
|
||||||
$e_\lambda/\epsilon_\lambda$ &{\textbf{ -8.811646911781276 }}&{\textbf{ 1.188358106883242 }}&{\textbf{ 1.188093387754633 }}&{\textbf{ 1.188093387754633}} \\
|
|
||||||
\end{tabular}
|
|
||||||
|
|
||||||
\normalsize
|
|
||||||
|
|
||||||
As it is visible from the table:
|
|
||||||
\begin{itemize}
|
|
||||||
\item[1.\quad]{${\langle x \rangle_{\!\mathrm{w(1)}}}\ :$ the weighted average using straight Poisson statistics is consistenty bad at all values of $\lambda$, that means at all counting levels;}
|
|
||||||
\item[2.\quad]{${\langle x \rangle^*}\ $: the normal average skipping zero count data is bad for $\lambda<100$, that means at low counting levels (of course at higher counting levels zeroes are not happening);}
|
|
||||||
\item[3.\quad]{${\langle x \rangle}\ \text{and}\ {\langle x \rangle_{\!\mathrm{w(2)}}}$: the normal average including zero count data and the Mighell-Poisson weighted average
|
|
||||||
are consistently and equivalently good at all counting levels.}
|
|
||||||
\end{itemize}
|
|
||||||
Therefore there is no bias when using the Mighell-Poisson weighted method to average data w.r.t. the usual average. The former, however,
|
|
||||||
has already accomplished the passage to normal statistics, therefore all operations on data that are not simple averaging can be done in
|
|
||||||
the framework of normal statistics, where everything is known and clear. In the next section, on the opposite, it is shown that
|
|
||||||
even simple operations as scaling data lead to the necessity of abandoning Poisson statistics in order to estimate correctly the standard deviations.
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\subsection{Scaling Poisson variates}\label{sec:3}
|
|
||||||
|
|
||||||
If we have a count value $C_0$ that follows a Poisson distribution,
|
|
||||||
we can assume immediately that the average is $C_0$ and the s.d. is $\sqrt{C_0}$.
|
|
||||||
I.e., repeated experiments would give values $n$
|
|
||||||
distributed according to the normalized distribution
|
|
||||||
\[
|
|
||||||
P(n)=\DSF{C_0^n\EE^{-C_0}
|
|
||||||
}{
|
|
||||||
n!}
|
|
||||||
\]
|
|
||||||
This obeys
|
|
||||||
\[
|
|
||||||
\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
P(n)=1\ ;
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\langle n\rangle=\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
nP(n)=C_0\ ;
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\langle n^2\rangle=\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
n^2 P(n)=C_0^2+C_0\ ;
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\sigma_{C_0}=\sqrt{\langle n^2\rangle-\langle n\rangle^2}=\sqrt{C_0}
|
|
||||||
\]
|
|
||||||
Suppose now that
|
|
||||||
our observable is
|
|
||||||
\[
|
|
||||||
X_0=\eta_0 C_0
|
|
||||||
\]
|
|
||||||
where $\eta_0$ is a known error-free scaling factor.
|
|
||||||
The distribution of $X$ is
|
|
||||||
\[
|
|
||||||
P'(X)=P(X/\eta_0)=P(n)\qquad\Biggl|\Biggr.\qquad \frac{X}{\eta_0}\equiv n\in\mathbb{Z}
|
|
||||||
%=\left.\DSF{(X_0/\eta_0)^{X/\eta_0}\EE^{-X_0/\eta_0}}{(X/\eta_0)!}\right|_{\frac{X}{\eta_0}\in\mathbb{Z}}
|
|
||||||
\]
|
|
||||||
and now,
|
|
||||||
\[
|
|
||||||
\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
P(n)=1\ ;
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\langle X\rangle=\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
\eta_0 nP(n)=\eta_0 C_0=X_0\ ;
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\langle X^2\rangle=\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
\eta_0^2 n^2 P(n)=\eta_0^2(C_0^2+C_0)=X_0^2+\eta_0 X_0\ ;
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\sigma_X=\sqrt{\langle X^2\rangle-\langle X\rangle^2}=\sqrt{\eta_0 X_0}=\eta_0\sqrt{C_0}=\sqrt{\eta_0}\sqrt{X_0}
|
|
||||||
\]
|
|
||||||
Now it is no more valid that $\sigma_X=\sqrt{\langle X\rangle}=\sqrt{X_0}$, instead
|
|
||||||
\[
|
|
||||||
\sigma_X=\sqrt{\eta_0}\sqrt{X_0}=\eta_0\sqrt{C_0}=\eta_0\sigma_{C_0}
|
|
||||||
\]
|
|
||||||
that is the characteristic relationship for a normal-variate distribution.
|
|
||||||
|
|
||||||
Moreover, assume now that the scaling factor is not exctly known
|
|
||||||
but instead it is a normal-variate itself with average $\eta_0$, s.d.
|
|
||||||
$\sigma_{\eta_0}$, and distribution
|
|
||||||
\[
|
|
||||||
\widehat{P}(\eta)=\DSF{
|
|
||||||
\EE^{
|
|
||||||
-\frac{1}{2}
|
|
||||||
\lrb{
|
|
||||||
\frac{\eta-\eta_0}{\sigma_{\eta_0}}
|
|
||||||
}^2
|
|
||||||
}
|
|
||||||
}{
|
|
||||||
\sigma_{\eta_0}\sqrt{2\pi}
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
Then,
|
|
||||||
\[
|
|
||||||
\int_{-\infty}^{+\infty}\DD{\eta}\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
P(n)\widehat{P}(\eta)=1\ ;
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\langle X\rangle=\int_{-\infty}^{+\infty}\DD{\eta}\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
\widehat{P}(\eta)\eta nP(n)=
|
|
||||||
\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
nP(n)
|
|
||||||
\int_{-\infty}^{+\infty}\DD{\eta} \widehat{P}(\eta)\eta
|
|
||||||
=
|
|
||||||
\eta_0 C_0=X_0\ ;
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\langle X^2\rangle=\int_{-\infty}^{+\infty}\DD{\eta}\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
\widehat{P}(\eta)\eta^2 n^2 P(n)=
|
|
||||||
\int_{-\infty}^{+\infty}\DD{\eta}\widehat{P}(\eta)\eta^2
|
|
||||||
\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
n^2 P(n)
|
|
||||||
=
|
|
||||||
(\eta_0^2+\sigma_{\eta_0}^2)(C_0^2+C_0)\ ;
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\DSF{\sigma_X}{\langle X\rangle}=\DSF{\sqrt{\langle X^2\rangle-\langle X\rangle^2}}{\langle X\rangle}
|
|
||||||
=\DSF{\sqrt{
|
|
||||||
\eta_0^2 C_0+\sigma_{\eta_0}^2C_0^2+\sigma_{\eta_0}^2 C_0
|
|
||||||
}}{\eta_0C_0}=
|
|
||||||
\sqrt{
|
|
||||||
\lrb{\DSF{ \sigma_{C_0}}{C_0}}^2
|
|
||||||
+\lrb{\DSF{\sigma_{\eta_0}}{\eta_0}}^2+\lrb{\DSF{\sigma_{\eta_0}}{\eta_0}\DSF{\sigma_{C_0}}{C_0}}^2
|
|
||||||
}\approx\sqrt{
|
|
||||||
\lrb{\DSF{ \sigma_{C_0}}{C_0}}^2
|
|
||||||
+\lrb{\DSF{\sigma_{\eta_0}}{\eta_0}}^2
|
|
||||||
}
|
|
||||||
%=\sqrt{\eta_0^2\sigma_{C_0}^2}
|
|
||||||
\]
|
|
||||||
where in the last we discard, as usual, the 4th order in the relative errors. Both the exact and approximated forms
|
|
||||||
are exactly the same as if both distributions were to be normal.
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\subsection*{Bibliography}
|
|
||||||
|
|
||||||
[1] - B. E. Warren, {\textit{"X-Ray Diffraction"}} (Dover:1990)
|
|
||||||
|
|
||||||
[2] - A. Guinier, {\textit{"X-Ray Diffraction In Crystals, Imperfect Crystals, and Amorphous Bodies"}} (Dover:1994)
|
|
||||||
|
|
||||||
[3] - G. L. Squires, {\textit{"Introduction to the Theory of Thermal Neutron Scattering"}} (Dover:1997)
|
|
||||||
|
|
||||||
[4] - G. E. P. Box, G. C. Tiao, {\textit{"Bayesian inference in statistical analysis"}} (Wiley, NY: 1996)
|
|
||||||
|
|
||||||
[5] - E. Prince, P. T. Boggs, {\textit{"International Tables for Crystallography"}} Vol. C, ch.~8.1, pp.~678-688 (First online edition : 2006)
|
|
||||||
|
|
||||||
[6] - K. J. Mighell, {\textit{Astrophys. J.}} {\textbf{518}} (1999) p. 380--393
|
|
||||||
@ -1,954 +0,0 @@
|
|||||||
|
|
||||||
|
|
||||||
\section{How is the channel number coverted into angle?}\label{sec:angcal}
|
|
||||||
|
|
||||||
|
|
||||||
%\begin{figure}[!h]
|
|
||||||
%\centering
|
|
||||||
%\includegraphics[width=0.98\textwidth]{AngConv}
|
|
||||||
%\caption{Schematics of the scattering geometry in the diffraction plane. A Mythen II module is shown. $R_m$ is the distance from the module sensor plane (orthogonal to the diffraction plane) to the sample position $S$; $D_m$ the distance from the center of pixel $j=0$ to point $Q$, counted positively as the arrow on the module plane goes (\emph{i.e.}, oppositely to the direction of increasing $j$); $\Phi_m$ is the angle of the module plane normal with the beam direction, positive counterclockwise. $\alpha_{jm}$ is the angular position of the $j$-th pixel center with respect to the beam direction, positive counterclockwise.}
|
|
||||||
%\label{acon}
|
|
||||||
%\end{figure}
|
|
||||||
|
|
||||||
Mythen II modules are composed by 1280 pixels, each having width p=0.05~mm, and numbered with j=0,..,1279.
|
|
||||||
Angles are counted counterclockwise from the beam direction. For the m-th module, the angle $\alpha_{jm}$ of its j-th pixel center
|
|
||||||
can be determined using the three geometric parameters $R_m$~[mm], $\Phi_m$~[deg], $D_m$~[mm], as in \fref{acon}.
|
|
||||||
The detector group uses instead the 3 parameters center $c_m$~[\ ], offset $o_m$~[deg], conversion $k_m$~[\ ].
|
|
||||||
The law with the 3 geometric parameter is
|
|
||||||
\begin{equation}
|
|
||||||
\alpha_{jm}=\Phi_m-\lrb{\DSF{180}{\pi}}\arctan\lrb{\DSF{D_m-pj}{R_m}}
|
|
||||||
\end{equation}
|
|
||||||
The corresponding law using DG's parameters is
|
|
||||||
\begin{equation}
|
|
||||||
\alpha_{jm}=o_m+\lrb{\DSF{180}{\pi}}c_mk_m+\lrb{\DSF{180}{\pi}}\arctan\lrs{\lrb{j-c_m}k_m}
|
|
||||||
\end{equation}
|
|
||||||
One can convert the two forms by equating separately the term out of the arctan and the argument of arctan for two different values of j.
|
|
||||||
It results
|
|
||||||
\begin{eqnarray}
|
|
||||||
c_m&=&\DSF{D_m}{p};\\
|
|
||||||
k_m&=&\DSF{p}{R_m};\\
|
|
||||||
o_m&=&\Phi_m-\DSF{180}{\pi}\DSF{D_m}{R_m}.
|
|
||||||
\end{eqnarray}
|
|
||||||
Conversely,
|
|
||||||
\begin{eqnarray}
|
|
||||||
\Phi_m&=&o_m+\DSF{180}{\pi}c_mk_m;\\
|
|
||||||
R_m&=&\DSF{p}{k_m};\\
|
|
||||||
D_m&=&c_m p.
|
|
||||||
\end{eqnarray}
|
|
||||||
|
|
||||||
\section{How are different positions merged together?}\label{sec:merging}
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\subsection{Introduction}
|
|
||||||
\subsubsection{Notation}
|
|
||||||
|
|
||||||
[I use symbol $\TT$ for the diffraction angle $2\theta$]
|
|
||||||
|
|
||||||
\subsubsection{Observables}
|
|
||||||
The physical observable of interest in any scattering experiment is [1-3] the differential cross section
|
|
||||||
\[
|
|
||||||
\DSF{\DD{}\bf{\sigma}}{\DD{}\Omega}
|
|
||||||
\]
|
|
||||||
as a function of direction $\Omega$.
|
|
||||||
To measure that directly we should operate with zero-width point detectors, with instant measurement and unit incident intensity.
|
|
||||||
Practically
|
|
||||||
the quantity we can actually measure - putting a detector in a position covering a certain
|
|
||||||
solid angle for a certain time with a certain incident intensity - is
|
|
||||||
\[
|
|
||||||
{I_0}\Delta t \Delta\Omega\DSF{\DD{}\bf{\sigma}}{\DD{}\Omega}
|
|
||||||
\]
|
|
||||||
If $\Delta t$, $\Delta\Omega$ are small and known and $I_0$ is separately monitored,
|
|
||||||
we can (have to) normalize the observations by simply dividing them out.
|
|
||||||
|
|
||||||
Specifically for the powder diffraction field, historically, this is not usually done because
|
|
||||||
- as it is normally true with anode sources and point detectors and usual procedures -
|
|
||||||
the counting times $\Delta t$, the solid angle width $\Delta\Omega\propto \Delta \TT$
|
|
||||||
and the incident intensity $I_0$ are considered
|
|
||||||
constant and therefore go into some 'global scaling' constant that is usually considered arbitrary.
|
|
||||||
|
|
||||||
However, as we have more sophisticated acquisition methods,
|
|
||||||
we may need revert to the original approach and consider the
|
|
||||||
counts divided by time and angular width as the real observable.
|
|
||||||
|
|
||||||
\subsection{Basic binning}\label{sec:11}
|
|
||||||
|
|
||||||
\begin{itemize}
|
|
||||||
\item[1.\ ]{
|
|
||||||
We have several patterns, say $P$. Each $k$-th pattern, for $k=1,\ldots,P$, is
|
|
||||||
constituted by $N_k$ angular intervals in the diffraction angle $2\theta\equiv\TT$:
|
|
||||||
\[
|
|
||||||
b_{k,j}=\lrs{\TT_{k,j}^{-},\TT_{k,j}^{+}},\qquad j=1,\ldots,N_k
|
|
||||||
\]
|
|
||||||
of center
|
|
||||||
\[
|
|
||||||
\hat{b}_{k,j}=\DSF{\TT_{k,j}^{+}+\TT_{k,j}^{-}}{2}
|
|
||||||
\]
|
|
||||||
and width
|
|
||||||
\[
|
|
||||||
\lrv{b_{k,j}}=\TT_{k,j}^{+}-\TT_{k,j}^{-}
|
|
||||||
\]
|
|
||||||
To each interval is associated a counting $C_{k,j}$, an efficiency correction factor $e_{k,j}$, a
|
|
||||||
monitor $m_{k,j}$ (ionization chamber times acquisition time). All 'bad' intervals have been already flagged down and discarded.
|
|
||||||
Efficiency corrections and monitors are supposed to be normalized to a suitable value.
|
|
||||||
Note that intervals $b_{k,j}$ might have multiple overlaps and might not cover an compact angular
|
|
||||||
range. }
|
|
||||||
%
|
|
||||||
\item[2.\ ]{Following Mighell's statistics[6] and normal scaling procedures, we first
|
|
||||||
transform those numbers into associated intensities, intensity rates and relevant s.d.:
|
|
||||||
\[
|
|
||||||
I_{k,j}=\DSF{e_{k,j}}{m_{k,j}}\lrb{C_{k,j}+\min\lrb{1,C_{k,j}}}
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\sigma_{I_{k,j}}=\DSF{e_{k,j}}{m_{k,j}}\sqrt{\lrb{C_{k,j}+1}}
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
r_{k,j}=\DSF{I_{k,j}}{\lrv{b_{k,j}}}=\DSF{e_{k,j}}{m_{k,j}\lrv{b_{k,j}}}\lrb{C_{k,j}+\min\lrb{1,C_{k,j}}}
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\sigma_{r_{k,j}}=\DSF{\sigma_{I_{k,j}}}{\lrv{b_{k,j}}}=\DSF{e_{k,j}}{\lrv{b_{k,j}}m_{k,j}}\sqrt{\lrb{C_{k,j}+1}}
|
|
||||||
\]
|
|
||||||
}
|
|
||||||
\item[3.\ ]{
|
|
||||||
We set up the final binned grid,
|
|
||||||
composed of $M$ binning intervals
|
|
||||||
\[
|
|
||||||
B_\ell=[\TT_0+(\ell-1)B, \TT_0+\ell B],\qquad \ell=1,\ldots,M
|
|
||||||
\]
|
|
||||||
all contiguous and each having the same width \[\lrv{B_\ell}=B\] and each centered in
|
|
||||||
\[\hat{B}_\ell=\TT_0+(\ell-1/2)B,\]
|
|
||||||
covering completely the angular range between $\TT_0$ and $\TT_{max}=\TT_0+MB$.
|
|
||||||
}
|
|
||||||
\item[4.\ ]{
|
|
||||||
For bin $\ell$, we consider only and all the experimental intervals
|
|
||||||
\[
|
|
||||||
b_{k,j}\qquad\text{such\ that}\qquad \lrv{ b_{k,j}\cap B_\ell } > 0.
|
|
||||||
\]
|
|
||||||
More restrictively, one may require to consider only and all the experimental intervals
|
|
||||||
\[
|
|
||||||
b_{k,j}\qquad\text{such\ that}\qquad \hat{b}_{k,j}\in B_\ell .
|
|
||||||
\]
|
|
||||||
}
|
|
||||||
\item[5.\ ]{
|
|
||||||
In order to estimate the rate in each $\ell$-th bin,
|
|
||||||
we use all above selected rate estimates concerning bin $B_\ell$ and we get
|
|
||||||
a better one with the weighted average method. \\
|
|
||||||
In the weighted average method, we suppose to have a number $N_E$ of estimates $O_n$
|
|
||||||
of the same observable $O$,
|
|
||||||
each one with a known s.d. $\sigma_{O_n}$ and each (optionally) repeated with a frequency
|
|
||||||
$\nu_n$.
|
|
||||||
Then
|
|
||||||
\[
|
|
||||||
\langle O\rangle =\DSF{
|
|
||||||
\mathop{\sum}_{n=1}^{N_E}\nu_n
|
|
||||||
O_n\sigma_{O_n}^{-2}
|
|
||||||
}{
|
|
||||||
\mathop{\sum}_{n=1}^{N_E}\nu_n
|
|
||||||
\sigma_{O_n}^{-2}
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
%
|
|
||||||
Clearly the place of the frequencies in our case can be taken by coefficients
|
|
||||||
\[
|
|
||||||
\DSF{\lrv{ b_{k,j}\cap B_\ell }}{B}
|
|
||||||
\]
|
|
||||||
that weigh the $k,j$-th estimate by its relative extension within bin $B_\ell$.
|
|
||||||
}
|
|
||||||
\item[6.\ ]{
|
|
||||||
Now
|
|
||||||
we can simply accumulate registers
|
|
||||||
\[
|
|
||||||
X_\ell=\mathop{\sum_{k,j}}_{ \lrv{ b_{k,j}\cap B_\ell } > 0}
|
|
||||||
\DSF{\lrv{ b_{k,j}\cap B_\ell }}{B}\ r_{k,j}\ \lrb{\sigma_{r_{k,j}}}^{-2}
|
|
||||||
\]
|
|
||||||
and
|
|
||||||
\[
|
|
||||||
Y_\ell=\mathop{\sum_{k,j}}_{ \lrv{ b_{k,j}\cap B_\ell } > 0}
|
|
||||||
\DSF{\lrv{ b_{k,j}\cap B_\ell }}{B}\ \lrb{\sigma_{r_{k,j}}}^{-2}
|
|
||||||
\]
|
|
||||||
so that we can extract an intensity rate estimate (counts per unit diffraction angle and per unit time at constant incident intensity) as
|
|
||||||
\[
|
|
||||||
R_\ell=\DSF{X_\ell}{Y_\ell};
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\sigma_{R_\ell}=\DSF{1}{\sqrt{Y_\ell}}.
|
|
||||||
\]
|
|
||||||
Now optionally we can transforms rates in intensities (multiplying
|
|
||||||
both $R_\ell$ and $\sigma_{R_\ell}$ by $B$).
|
|
||||||
We can use any other scaling factor $K$ as we wish instead of $B$.
|
|
||||||
The best cosmetic scaling is the one where
|
|
||||||
\[
|
|
||||||
\mathop{\sum}_{\ell=1}^M\DSF{KR_\ell}{K^2\sigma_{R_\ell}^2}=
|
|
||||||
\DSF{1}{K}
|
|
||||||
\mathop{\sum}_{\ell=1}^M\DSF{R_\ell}{\sigma_{R_\ell}^2}=M
|
|
||||||
\]
|
|
||||||
as if the intensities were simply counts.
|
|
||||||
Therefore $K$ is given by
|
|
||||||
\[
|
|
||||||
K=\DSF{
|
|
||||||
1
|
|
||||||
}{
|
|
||||||
M
|
|
||||||
}\mathop{\sum}_{\ell=1}^M\DSF{R_\ell}{\sigma_{R_\ell}^2}
|
|
||||||
\]
|
|
||||||
|
|
||||||
In output then we give 3-column files
|
|
||||||
with columns
|
|
||||||
\[
|
|
||||||
\hat{B}_\ell, \quad KR_\ell, \quad K\sigma_{R_\ell}
|
|
||||||
\]
|
|
||||||
}
|
|
||||||
\end{itemize}
|
|
||||||
|
|
||||||
\subsubsection{Special nasty cases}
|
|
||||||
|
|
||||||
Here we explore some special cases to see the robustness
|
|
||||||
of the method.
|
|
||||||
|
|
||||||
1) If no experimental observation contributes to bin $B_\ell$ according to one of the criteria
|
|
||||||
above, then we shall find $X_\ell=0$ and especially $Y_\ell=0$. The latter condition is
|
|
||||||
valid as an exclusion condition
|
|
||||||
(meaning that we discard that point and we do not perform further operations on it,
|
|
||||||
neither do we output it).
|
|
||||||
|
|
||||||
2) if only one experimental observation - call it interval $b$, dropping indices - contributes
|
|
||||||
to bin $B_\ell$,
|
|
||||||
then we have
|
|
||||||
\[
|
|
||||||
X_\ell=\DSF{\lrv{ b\cap B_\ell }}{B}\
|
|
||||||
\DSF{e(C+1)}{m|b|}\
|
|
||||||
\lrb{
|
|
||||||
\DSF{|b|m}{e\sqrt{C+1}}
|
|
||||||
}^{2}
|
|
||||||
=\DSF{\lrv{ b\cap B_\ell }}{B}\DSF{|b|m}{e}
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
Y_\ell=\DSF{\lrv{ b\cap B_\ell }}{B}\
|
|
||||||
\lrb{
|
|
||||||
\DSF{|b|m}{e\sqrt{C+1}}
|
|
||||||
}^{2}
|
|
||||||
=\DSF{\lrv{ b\cap B_\ell }}{B}\DSF{|b|^2m^2}{e^2(C+1)}
|
|
||||||
\]
|
|
||||||
and so
|
|
||||||
\[
|
|
||||||
R_\ell=\DSF{X_\ell}{Y_\ell}=\DSF{e(C+1)}{m|b|}
|
|
||||||
\]
|
|
||||||
that is the experimental rate as in pixel $b$;
|
|
||||||
\[
|
|
||||||
\sigma_{R_\ell}=\DSF{1}{\sqrt{Y_\ell}}=
|
|
||||||
\sqrt{\DSF{B}{\lrv{ b\cap B_\ell }}}
|
|
||||||
%
|
|
||||||
\DSF{e\sqrt{(C+1)}}{|b|m}
|
|
||||||
\]
|
|
||||||
that is the same s.d. that can be calculated directly for $b$, augmented by factor
|
|
||||||
\[
|
|
||||||
\sqrt{\DSF{B}{\lrv{ b\cap B_\ell }}}
|
|
||||||
\]
|
|
||||||
that takes into account the extrapolation error.
|
|
||||||
|
|
||||||
\subsection{Advanced binning}\label{sec:2}
|
|
||||||
|
|
||||||
There are more advanced (and more complex) methods that take more carefully into account the real position of the centers $\hat{b}_{j,k}$ w.r.t. $\hat{B}_\ell$.
|
|
||||||
If we find out that it is the case we may develop them too.
|
|
||||||
|
|
||||||
|
|
||||||
\subsection{Poisson and normal statistics for diffraction}
|
|
||||||
|
|
||||||
The normal situation for diffraction data
|
|
||||||
is that the observed signal is a photon count.
|
|
||||||
Therefore it follows a Poisson distribution.
|
|
||||||
If we have a count value $C_0$ that follows a Poisson distribution,
|
|
||||||
we can assume immediately that the average is equal to $C_0$ and the s.d. is $\sqrt{C_0}$.
|
|
||||||
I.e., repeated experiments would give values $n$
|
|
||||||
distributed according to the normalized distribution
|
|
||||||
\[
|
|
||||||
P(n)=\DSF{C_0^n\EE^{-C_0}
|
|
||||||
}{
|
|
||||||
n!}
|
|
||||||
\]
|
|
||||||
This obeys
|
|
||||||
\[
|
|
||||||
\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
P(n)=1\ ;
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\langle n\rangle=\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
nP(n)=C_0\ ;
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\langle n^2\rangle=\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
n^2 P(n)=C_0^2+C_0\ ;
|
|
||||||
\]
|
|
||||||
The standard deviation comes then to
|
|
||||||
\[
|
|
||||||
\sigma_{C_0}=\sqrt{\langle n^2\rangle-\langle n\rangle^2}=\sqrt{C_0}
|
|
||||||
\]
|
|
||||||
|
|
||||||
When the data have to be analyzed, one must compare observations with a model
|
|
||||||
which gives calculated values of the observations in dependence of a certain set of
|
|
||||||
parameters. The best values of the parameters (the target of investigation)
|
|
||||||
are the one that maximize the likelihood function [4,5]. The likelihood function for
|
|
||||||
Poisson variates is pretty difficult to use; furthermore, even simple data manipulations
|
|
||||||
are not straightforward with Poisson variates (see \sref{sec:3}). The common choice is to approximate
|
|
||||||
Poisson variates with normal variates, and then use the much easier formalism
|
|
||||||
of normal distribution to a) do basic data manipulations and b) fit data with model.
|
|
||||||
To the latter task, in fact, the likelihood function is maximized simply by minimizing
|
|
||||||
the usual weighted-$\chi^2$[4] :
|
|
||||||
\[
|
|
||||||
\chi^2 = \mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}
|
|
||||||
\DSF{\lrb{F_j-O_j}^2
|
|
||||||
}{
|
|
||||||
\sigma_j^2
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
where $O_j$ are the experimentally observed values, $F_j$ the calculated model values,
|
|
||||||
$\sigma_j$ the s.d.s of the observations.
|
|
||||||
|
|
||||||
Substituting directly the counts (and derived s.d.s) for the observations in the former :
|
|
||||||
\[
|
|
||||||
\chi_{(0)}^2 = \mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}
|
|
||||||
\DSF{\lrb{F_j-C_j}^2
|
|
||||||
}{
|
|
||||||
C_j
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
is the most common way. It is \emph{slightly} wrong to do so, however [6],
|
|
||||||
the error being large only when the counts are low.
|
|
||||||
There is also a divergence for zero counts.
|
|
||||||
In fact, a slightly modified form [6] exists, reading
|
|
||||||
\[
|
|
||||||
\chi_{(1)}^2 = \mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}
|
|
||||||
\DSF{\lrb{F_j-\lrb{C_j+\min\lrb{1,C_j}}}^2
|
|
||||||
}{
|
|
||||||
C_j+1
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
Minimizing this form of $\chi^2$ is equivalent - to an exceptionally good approximation [6]-
|
|
||||||
to maximizing the proper Poisson-likelihood.
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\subsection{Average vs. weighted average}
|
|
||||||
|
|
||||||
\subsubsection{Simple average}
|
|
||||||
|
|
||||||
Suppose we have $N_{\mathrm{obs}}$ Poisson-variate experimental evaluations
|
|
||||||
$C_j,\quad j=1\ldots N_{\mathrm{obs}}$,
|
|
||||||
of the same quantity $x$.
|
|
||||||
There are different ways to obtain from all $N_{\mathrm{obs}}$ data values a single estimate of the observable which is better than
|
|
||||||
any of them. The most straightforward and the best is the simple average
|
|
||||||
\[
|
|
||||||
x=\langle x\rangle=\DSF{1}{ N_{\mathrm{obs}}}
|
|
||||||
\mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}C_j\ .
|
|
||||||
\]
|
|
||||||
As the sum of Poisson variates is a Poisson variate, the standard deviation
|
|
||||||
\[
|
|
||||||
\sigma_x=\sqrt{\langle x^2\rangle-\langle x\rangle^2}=\sqrt{
|
|
||||||
\DSF{1}{ N_{\mathrm{obs}}}
|
|
||||||
\mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}C_j^2-\lrb{
|
|
||||||
\DSF{1}{ N_{\mathrm{obs}}}
|
|
||||||
\mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}C_j
|
|
||||||
}
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
can be evaluated more comfortably as
|
|
||||||
\[
|
|
||||||
\sigma_x=\DSF{1}{ N_{\mathrm{obs}}}\sqrt{ \mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}C_j }
|
|
||||||
=\sqrt{\DSF{\langle x\rangle}{N_{\mathrm{obs}}}}
|
|
||||||
\]
|
|
||||||
|
|
||||||
|
|
||||||
\subsubsection{Zero-skipping average}
|
|
||||||
|
|
||||||
In some cases, in order to avoid possible singularities,
|
|
||||||
values $C_j=0$ are skipped. Then if $N_{\mathrm{obs}}^*$ is the number of non-zero data points,
|
|
||||||
we can evaluate the 'zero-skipping' average as
|
|
||||||
\[
|
|
||||||
x=\langle x\rangle^*=\DSF{1}{ N_{\mathrm{obs}}^*}
|
|
||||||
\mathop{\sum}_ {\stackrel{1\leqslant j\leqslant N_{\mathrm{obs}}}{{C_j>0}}}
|
|
||||||
C_j=\DSF{1}{ N_{\mathrm{obs}}^*}
|
|
||||||
\mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}C_j = \DSF{N_{\mathrm{obs}}}{N_{\mathrm{obs}}^*}\langle x\rangle
|
|
||||||
\]
|
|
||||||
The standard deviation is then
|
|
||||||
\[
|
|
||||||
\sigma_{x^*}= \DSF{N_{\mathrm{obs}}}{N_{\mathrm{obs}}^*}\sigma_x = \sqrt{\DSF{N_{\mathrm{obs}}}{N_{\mathrm{obs}}^*}}
|
|
||||||
\sqrt{\DSF{\langle x\rangle}{N_{\mathrm{obs}}^*}}=\sqrt{\DSF{\langle x\rangle^*}{N_{\mathrm{obs}}^*}}
|
|
||||||
\]
|
|
||||||
Note that the s.d. is evaluated exactly as if the non-zero $C_j$ were the only observations,
|
|
||||||
whilst the average is overestimated by the fraction of zero-counting events.
|
|
||||||
|
|
||||||
\subsubsection{Weighted average: definition and relationship with $\chi^2$}
|
|
||||||
|
|
||||||
A weighted average is the result of the special case of a data fitting to a model function which is a constant.
|
|
||||||
It is easy to see that minimizing w.r.t $x$
|
|
||||||
\[
|
|
||||||
\chi^2 = \mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}
|
|
||||||
\DSF{\lrb{x-O_j}^2
|
|
||||||
}{
|
|
||||||
\sigma_j^2
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
yields
|
|
||||||
\[
|
|
||||||
x= \langle x \rangle_{\!\mathrm{w}}=\DSF{
|
|
||||||
\mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}
|
|
||||||
\DSF{O_j
|
|
||||||
}{
|
|
||||||
\sigma_j^2
|
|
||||||
}
|
|
||||||
}{
|
|
||||||
\mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}
|
|
||||||
\DSF{1
|
|
||||||
}{
|
|
||||||
\sigma_j^2
|
|
||||||
}
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
The good-faith s.d. (square-root of twice the inverse of the second derivative of $\chi^2$ at the minimum)
|
|
||||||
is then
|
|
||||||
\[
|
|
||||||
\sigma_{\langle x \rangle_{\!\mathrm{w}}} = \DSF{
|
|
||||||
1
|
|
||||||
}{\sqrt{
|
|
||||||
\mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}
|
|
||||||
\DSF{1
|
|
||||||
}{
|
|
||||||
\sigma_j^2
|
|
||||||
}
|
|
||||||
}}
|
|
||||||
\]
|
|
||||||
I use the term 'good-faith' to indicate the case when it is really appropriate to use a constant as a model functions,
|
|
||||||
i.e. when the observations are truly different observations of the same observable.
|
|
||||||
When this is not the case but we do not know what to do better we can at least increase the s.d.
|
|
||||||
In fact, there is a correction factor for the s.d., given - in this case - by
|
|
||||||
\[
|
|
||||||
\mathsf{GoF}=
|
|
||||||
\sqrt{
|
|
||||||
\DSF{
|
|
||||||
\mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}
|
|
||||||
\DSF{O_j^2
|
|
||||||
}{
|
|
||||||
\sigma_j^2
|
|
||||||
}
|
|
||||||
-\DSF{
|
|
||||||
\lrs{
|
|
||||||
\mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}
|
|
||||||
\DSF{O_j
|
|
||||||
}{
|
|
||||||
\sigma_j^2
|
|
||||||
}
|
|
||||||
}^2
|
|
||||||
}{ \mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}
|
|
||||||
\DSF{1
|
|
||||||
}{
|
|
||||||
\sigma_j^2
|
|
||||||
} }
|
|
||||||
}{
|
|
||||||
N_{\mathrm{obs}}-1
|
|
||||||
}
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
so that
|
|
||||||
\[
|
|
||||||
{\sigma}_{\langle x \rangle_{\!\mathrm{w}}}^{\mathrm{corrected}} = \mathsf{GoF}\ \sigma_{\langle x \rangle_{\!\mathrm{w}}}
|
|
||||||
\]
|
|
||||||
|
|
||||||
Specializing now to the two cases above,
|
|
||||||
|
|
||||||
\subsubsection{Straight Poisson (zero-skipping) weighted average}
|
|
||||||
|
|
||||||
When $O_j=C_j$ and $\sigma_j^2=C_j$
|
|
||||||
\[
|
|
||||||
\langle x \rangle_{\!\mathrm{w(1)}}=\DSF{
|
|
||||||
{N_{\mathrm{obs}}}
|
|
||||||
}{
|
|
||||||
\mathop{\sum}_{j=1}^{N_{\mathrm{obs}}}
|
|
||||||
\DSF{1
|
|
||||||
}{
|
|
||||||
C_j
|
|
||||||
}
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
Here we need to eliminate the singularity when $C_j=0$. In order to do so, we skip data points which are zero.
|
|
||||||
Then if $N_{\mathrm{obs}}^*$ is the number of non-zero data points,
|
|
||||||
\[
|
|
||||||
\langle x \rangle_{\!\mathrm{w(1)}}=\DSF{
|
|
||||||
{N_{\mathrm{obs}}^*}
|
|
||||||
}{
|
|
||||||
\mathop{\sum}_{\stackrel{1\leqslant j\leqslant N_{\mathrm{obs}}}{{C_j>0}}}
|
|
||||||
\DSF{1
|
|
||||||
}{
|
|
||||||
C_j
|
|
||||||
}
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\sigma_{\langle x \rangle_{\!\mathrm{w(1)}}} = \DSF{
|
|
||||||
1
|
|
||||||
}{\sqrt{
|
|
||||||
\mathop{\sum}_{\stackrel{1\leqslant j\leqslant N_{\mathrm{obs}}}{{C_j>0}}}
|
|
||||||
\DSF{1
|
|
||||||
}{
|
|
||||||
C_j
|
|
||||||
}
|
|
||||||
}}=\sqrt{\DSF{\langle x \rangle_{\!\mathrm{w(1)}}}{
|
|
||||||
N_{\mathrm{obs}}^*
|
|
||||||
}}
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\mathsf{GoF}_{(1)}=
|
|
||||||
\sqrt{
|
|
||||||
\DSF{
|
|
||||||
\mathop{\sum}_{\stackrel{1\leqslant j\leqslant N_{\mathrm{obs}}}{{C_j>0}}}
|
|
||||||
\!\!\!\!C_j
|
|
||||||
%
|
|
||||||
-\DSF{
|
|
||||||
\lrs{
|
|
||||||
N_{\mathrm{obs}}^*
|
|
||||||
}^2
|
|
||||||
}{ \mathop{\sum}_{\stackrel{1\leqslant j\leqslant N_{\mathrm{obs}}}{{C_j>0}}}
|
|
||||||
\DSF{1
|
|
||||||
}{
|
|
||||||
C_j
|
|
||||||
} }
|
|
||||||
}{
|
|
||||||
N_{\mathrm{obs}}^*-1
|
|
||||||
}
|
|
||||||
}
|
|
||||||
=\sqrt{
|
|
||||||
\DSF{N_{\mathrm{obs}}^*}{N_{\mathrm{obs}}^*-1}
|
|
||||||
\lrb{
|
|
||||||
\langle x\rangle^*-\langle x \rangle_{\!\mathrm{w(1)}}
|
|
||||||
}
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
where $\langle x\rangle^*$ is the simple average of the non-zero data points; and of course
|
|
||||||
\[
|
|
||||||
{\sigma}_{\langle x \rangle_{\!\mathrm{w(1)}}}^{\mathrm{corrected}} = \mathsf{GoF}_{(1)}\ \sigma_{\langle x \rangle_{\!\mathrm{w(1)}}}
|
|
||||||
\]
|
|
||||||
|
|
||||||
\subsubsection{Mighell-Poisson weighted average}
|
|
||||||
|
|
||||||
When $O_j=C_j+\min\lrb{1,C_j}$ and $\sigma_j^2=C_j+1$
|
|
||||||
\[
|
|
||||||
\langle x \rangle_{\!\mathrm{w(2)}}=\DSF{
|
|
||||||
{N_{\mathrm{obs}}^*}
|
|
||||||
}{
|
|
||||||
\mathop{\sum}_{\stackrel{1\leqslant j\leqslant N_{\mathrm{obs}}}{{C_j>0}}}
|
|
||||||
\DSF{1
|
|
||||||
}{
|
|
||||||
C_j+1
|
|
||||||
}
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\sigma_{\langle x \rangle_{\!\mathrm{w(2)}}} = \DSF{
|
|
||||||
1
|
|
||||||
}{\sqrt{
|
|
||||||
\mathop{\sum}_{\stackrel{1\leqslant j\leqslant N_{\mathrm{obs}}}{{C_j>0}}}
|
|
||||||
\DSF{1
|
|
||||||
}{
|
|
||||||
C_j+1
|
|
||||||
}
|
|
||||||
}}=\sqrt{\DSF{\langle x \rangle_{\!\mathrm{w(2)}}}{
|
|
||||||
N_{\mathrm{obs}}^*
|
|
||||||
}}
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\mathsf{GoF}_{(2)}=
|
|
||||||
\sqrt{
|
|
||||||
\DSF{
|
|
||||||
\mathop{\sum}_{\stackrel{1\leqslant j\leqslant N_{\mathrm{obs}}}{{C_j>0}}}
|
|
||||||
\!\!\!\!C_j+N_{\mathrm{obs}}^*
|
|
||||||
%
|
|
||||||
-\DSF{
|
|
||||||
\lrs{
|
|
||||||
N_{\mathrm{obs}}^*
|
|
||||||
}^2
|
|
||||||
}{ \mathop{\sum}_{\stackrel{1\leqslant j\leqslant N_{\mathrm{obs}}}{{C_j>0}}}
|
|
||||||
\DSF{1
|
|
||||||
}{
|
|
||||||
C_j+1
|
|
||||||
} }
|
|
||||||
}{
|
|
||||||
N_{\mathrm{obs}}^*-1
|
|
||||||
}
|
|
||||||
}
|
|
||||||
=\sqrt{
|
|
||||||
\DSF{N_{\mathrm{obs}}^*}{N_{\mathrm{obs}}^*-1}
|
|
||||||
\lrb{
|
|
||||||
\langle x\rangle^*-\langle x \rangle_{\!\mathrm{w(2)}}+1
|
|
||||||
}
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
where $\langle x\rangle^*$ is the simple average of the non-zero data points; and of course
|
|
||||||
\[
|
|
||||||
{\sigma}_{\langle x \rangle_{\!\mathrm{w(2)}}}^{\mathrm{corrected}} = \mathsf{GoF}_{(2)}\ \sigma_{\langle x \rangle_{\!\mathrm{w(2)}}}
|
|
||||||
\]
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\subsubsection{Comparison}
|
|
||||||
|
|
||||||
We have seen four different ways to take an average -
|
|
||||||
two simple averages (the second skipping zero values)
|
|
||||||
and two weighted averages (using straight Poisson and Poisson-Mighell [6] $\chi^2$ formulations).
|
|
||||||
We know that the simple average (not skipping zeros) is the best possible result. However,
|
|
||||||
there are inconveniences with it. If for instance we need to scale our data before averaging, then the
|
|
||||||
simple average is no more usable (it will give the correct average but a bad estimate of the s.d.) .
|
|
||||||
In any case, the passage to normal statistics (using Mighell's correction) needs to be done before or later.
|
|
||||||
Therefore a comparison is due in order to ascertain
|
|
||||||
how wrong can it be using the different methods.
|
|
||||||
|
|
||||||
We have to give a measure of what is negligible first.
|
|
||||||
The relative error is a measure of the smallest relative variation of an estimate $x$ that is \emph{not} negligible:
|
|
||||||
\[
|
|
||||||
\epsilon_x = \DSF{\sigma_x}{x}
|
|
||||||
\]
|
|
||||||
We shall then consider negligible
|
|
||||||
(w.r.t. $x$) terms whose relative magnitude is $O(\epsilon_x^2)$.
|
|
||||||
As the s.d. of $x$ is $\propto\epsilon_x$, we may not discard terms $O(\epsilon_x^2)$ on the s.d.;
|
|
||||||
there instead we may neglect terms $O(\epsilon_x^3)$.
|
|
||||||
|
|
||||||
|
|
||||||
\subsubsection{Analytical comparison of averages}
|
|
||||||
|
|
||||||
First we give an analytical comparison between simple average and Mighell-Poisson weighted average
|
|
||||||
for $N_{\mathrm{obs}}=2$.
|
|
||||||
If the two events are $C_1$ and $C_2$, then
|
|
||||||
\[
|
|
||||||
\langle x \rangle=\DSF{C_1+C_2}{2}; \qquad \sigma_x=\DSF{\sqrt{C_1+C_2}}{2}
|
|
||||||
\]
|
|
||||||
For the M-P weighted average,
|
|
||||||
\[
|
|
||||||
\langle x \rangle_{\mathrm{w(2)}}=\DSF{2(C_1+1)(C_2+1)}{C_1+C_2+2}; \qquad
|
|
||||||
\sigma_{\langle x \rangle_{\mathrm{w(2)}}}=\sqrt{\DSF{(C_1+1)(C_2+1)}{C_1+C_2+2}}
|
|
||||||
\]
|
|
||||||
|
|
||||||
Now, supposing that the common 'true' value of $C_1,C_2$ is $\lambda$,
|
|
||||||
we use the Poisson distribution to compare the expectation values of the two results. The expectation value of the simple average is
|
|
||||||
\[
|
|
||||||
E\lrb{\langle x \rangle} = \mathop{\sum}_{m,n=0}^{+\infty}
|
|
||||||
\DSF{n+m}{2}P(n)P(m)=\mathop{\sum}_{m=0}^{+\infty}
|
|
||||||
\DSF{m}{2}\DSF{\lambda^m\EE^{-\lambda}}{m!}
|
|
||||||
+\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
\DSF{n}{2}\DSF{\lambda^n\EE^{-\lambda}}{n!}
|
|
||||||
=\lambda
|
|
||||||
\]
|
|
||||||
As expected, the simple average gives the true value.
|
|
||||||
For its variance,
|
|
||||||
\[
|
|
||||||
E\lrb{\sigma_x^2} = \mathop{\sum}_{m,n=0}^{+\infty}
|
|
||||||
\DSF{n+m}{4}P(n)P(m)=\DSF{
|
|
||||||
\lambda}{2};\qquad E\lrb{\sigma_x} =\sqrt{\DSF{\lambda}{2}}
|
|
||||||
\]
|
|
||||||
|
|
||||||
|
|
||||||
In order to evaluate the difference with the M-P weighted average, we rewrite the latter as
|
|
||||||
\[
|
|
||||||
\langle x \rangle_{\mathrm{w(2)}}=\langle x \rangle + 1 -\DSF{(C_1-C_2)^2}{4(\langle x \rangle+1)}
|
|
||||||
\]
|
|
||||||
and calculate the expectation value of the last term:
|
|
||||||
\[
|
|
||||||
E\lrb{\DSF{(C_1-C_2)^2}{4(\langle x \rangle+1)}} =
|
|
||||||
\mathop{\sum}_{m,n=0}^{+\infty}
|
|
||||||
\DSF{(n-m)^2}{2(n+m+2) }P(n)P(m)=\DSF{\EE^{-2\lambda}}{2}
|
|
||||||
\mathop{\sum}_{m,n=0}^{+\infty}
|
|
||||||
\DSF{(n-m)^2}{(n+m+2) }\DSF{\lambda^{n+m}}{n!m!}
|
|
||||||
\]
|
|
||||||
Rearranging the sums with $s=n+m$, $s=0\ldots +\infty$; $n-m=s-2k$, $k=0\ldots s$,
|
|
||||||
we get
|
|
||||||
\[
|
|
||||||
E\lrb{\DSF{(C_1-C_2)^2}{4(\langle x \rangle+1)}} =
|
|
||||||
\DSF{\EE^{-2\lambda}}{2}
|
|
||||||
\mathop{\sum}_{s=0}^{+\infty}
|
|
||||||
\mathop{\sum}_{k=0}^{s}
|
|
||||||
\DSF{(s-2k)^2(s+1)}{(s+2)! }{\lambda^{s}}
|
|
||||||
\binom{s}{k}=\DSF{1}{2}-\DSF{1}{2\lambda}+\DSF{1-\EE^{-2\lambda}}{4\lambda^2}
|
|
||||||
%{n!m!}
|
|
||||||
\]
|
|
||||||
So, the relative difference between averages is
|
|
||||||
\[
|
|
||||||
\DSF{E\lrb{\langle x \rangle_{\mathrm{w(2)}}-\langle x \rangle}}{E\lrb{\langle x \rangle}}=
|
|
||||||
\DSF{1}{2\lambda}+\DSF{1}{2\lambda^2}-\DSF{1-\EE^{-2\lambda}}{4\lambda^3}
|
|
||||||
\]
|
|
||||||
The relative error on $\langle x \rangle$ is
|
|
||||||
\[
|
|
||||||
\epsilon = \DSF{\sigma_x}{\langle x \rangle} =
|
|
||||||
\DSF{\lambda^{1/2}}{\sqrt{2} \lambda}=\DSF{1}{\sqrt{2\lambda}}
|
|
||||||
\]
|
|
||||||
therefore
|
|
||||||
\[
|
|
||||||
\DSF{E\lrb{\langle x \rangle_{\mathrm{w(2)}}-\langle x \rangle}}{E\lrb{\langle x \rangle}}=
|
|
||||||
O(\epsilon^2)
|
|
||||||
\]
|
|
||||||
Therefore, the expectation value of the error (relative) involved in taking
|
|
||||||
the M-P weighted average instead of the simple average is negligible.
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\subsubsection{Numerical comparison of averages}
|
|
||||||
|
|
||||||
In the next table numerical results are displayed. An exact random-Poisson generator has been used to generate Poisson deviates of given average value
|
|
||||||
$\lambda$, with $\lambda=1,10,100,\ldots,1000000$. For each value $\lambda$
|
|
||||||
$N=10^8$ deviates have been generated. Then averages have been taken for each value $\lambda$ and compared with the true value.
|
|
||||||
For each value $\lambda$ - in order to have a scale for comparison -
|
|
||||||
we evaluate the expected absolute s.d. of averages as $\xi_\lambda=\sqrt{\lambda/N}$, and the relative s.d. of averages as $\epsilon_\lambda=\sqrt{\lambda/N}/\lambda=1/\sqrt{N\lambda}$. Then - for each averaging method - we evaluate the error $E_\lambda$ (average minus $\lambda$),
|
|
||||||
the relative error $e_\lambda=E_\lambda/\lambda$, and finally the comparison criterion $e_\lambda/\epsilon_\lambda$ (bold). The comparison criterion is expected to be close to 1 in absolute value. Values much larger than one mean that we are introducing a systematic error.
|
|
||||||
|
|
||||||
\footnotesize
|
|
||||||
|
|
||||||
\begin{tabular}{l|llll}
|
|
||||||
\footnotesize
|
|
||||||
% # trials N = 100000000
|
|
||||||
\ &&&&\ \\
|
|
||||||
& \multicolumn{4}{l}{$\lambda =$ 1. ; $\xi_\lambda = $0.0001 ; $\epsilon_\lambda$ = 0.0001}\\
|
|
||||||
& ${\langle x \rangle_{\!\mathrm{w(1)}}}$ & ${\langle x \rangle_{\!\mathrm{w(2)}}}$ & $\langle x \rangle^*$ & $\langle x \rangle$\\
|
|
||||||
Averages & 1.303772380383934 & 0.9999155361216990 & 1.581941754994651 & 0.9999283300000000 \\
|
|
||||||
$E_\lambda$ & 0.3037723803839338 & -0.8446387830096658E-04 & 0.5819417549946508 & -0.7166999999996815E-04\\
|
|
||||||
$e_\lambda$ & 0.3037723803839338 & -0.8446387830096658E-04 & 0.5819417549946508 & -0.7166999999996815E-04\\
|
|
||||||
$e_\lambda/\epsilon_\lambda$ &{\textbf{ 3037.723803839338 }}&{\textbf{ -0.8446387830096658 }}&{\textbf{ 5819.417549946508 }}&{\textbf{ -0.7166999999996815 }} \\
|
|
||||||
\ &&&&\ \\
|
|
||||||
& \multicolumn{4}{l}{$\lambda =$ 10.000000000000002 ; $\xi_\lambda = $0.00031622776601683794 ; $\epsilon_\lambda$ = 0.00003162277660168379}\\
|
|
||||||
& ${\langle x \rangle_{\!\mathrm{w(1)}}}$ & ${\langle x \rangle_{\!\mathrm{w(2)}}}$ & $\langle x \rangle^*$ & $\langle x \rangle$\\
|
|
||||||
Averages & 8.848248847530357 & 10.00025732384808 & 10.00052232372917 & 10.00006800000000 \\
|
|
||||||
$E_\lambda$ & -1.151751152469645 & 0.2573238480785278E-03 & 0.5223237291644978E-03 & 0.6799999999884676E-04\\
|
|
||||||
$e_\lambda$ & -0.1151751152469645 & 0.2573238480785278E-04 & 0.5223237291644977E-04 & 0.6799999999884675E-05\\
|
|
||||||
$e_\lambda/\epsilon_\lambda$ &{\textbf{ -3642.156939527943 }}&{\textbf{ 0.8137294562072904 }}&{\textbf{ 1.651732660112730 }}&{\textbf{ 0.2150348808878029 }} \\
|
|
||||||
\ &&&&\ \\
|
|
||||||
& \multicolumn{4}{l}{$\lambda =$ 100.00000000000004 ; $\xi_\lambda = $0.0010000000000000002 ; $\epsilon_\lambda$ = 0.000009999999999999997}\\
|
|
||||||
& ${\langle x \rangle_{\!\mathrm{w(1)}}}$ & ${\langle x \rangle_{\!\mathrm{w(2)}}}$ & $\langle x \rangle^*$ & $\langle x \rangle$\\
|
|
||||||
Averages & 98.98978896904168 & 100.0001037814804 & 100.0002153600000 & 100.0002153600000 \\
|
|
||||||
$E_\lambda$ & -1.010211030958359 & 0.1037814803765968E-03 & 0.2153599999559219E-03 & 0.2153599999559219E-03\\
|
|
||||||
$e_\lambda$ & -0.1010211030958359E-01 & 0.1037814803765968E-05 & 0.2153599999559218E-05 & 0.2153599999559218E-05\\
|
|
||||||
$e_\lambda/\epsilon_\lambda$ &{\textbf{ -1010.211030958359 }}&{\textbf{ 0.1037814803765968 }}&{\textbf{ 0.2153599999559219 }}&{\textbf{ 0.2153599999559219 }} \\
|
|
||||||
\ &&&&\ \\
|
|
||||||
& \multicolumn{4}{l}{$\lambda =$ 1000.0000000000007 ; $\xi_\lambda = $0.0031622776601683803 ; $\epsilon_\lambda$ = 0.000003162277660168378}\\
|
|
||||||
& ${\langle x \rangle_{\!\mathrm{w(1)}}}$ & ${\langle x \rangle_{\!\mathrm{w(2)}}}$ & $\langle x \rangle^*$ & $\langle x \rangle$\\
|
|
||||||
Averages & 999.0029754507847 & 1000.003978305674 & 1000.003836760000 & 1000.003836760000 \\
|
|
||||||
$E_\lambda$ & -0.9970245492160075 & 0.3978305673513205E-02 & 0.3836759999330752E-02 & 0.3836759999330752E-02\\
|
|
||||||
$e_\lambda$ & -0.9970245492160069E-03 & 0.3978305673513202E-05 & 0.3836759999330750E-05 & 0.3836759999330750E-05\\
|
|
||||||
$e_\lambda/\epsilon_\lambda$ &{\textbf{ -315.2868458625229 }}&{\textbf{ 1.258050715667192 }}&{\textbf{ 1.213290043331128 }}&{\textbf{ 1.213290043331128 }} \\
|
|
||||||
\ &&&&\ \\
|
|
||||||
& \multicolumn{4}{l}{$\lambda =$ 10000.00000000001 ; $\xi_\lambda = $0.010000000000000005 ; $\epsilon_\lambda$ = 9.999999999999995E-7}\\
|
|
||||||
& ${\langle x \rangle_{\!\mathrm{w(1)}}}$ & ${\langle x \rangle_{\!\mathrm{w(2)}}}$ & $\langle x \rangle^*$ & $\langle x \rangle$\\
|
|
||||||
Averages & 9998.995728116572 & 9999.995828163173 & 9999.995919900000 & 9999.995919900000 \\
|
|
||||||
$E_\lambda$ & -1.004271883437468 & -0.4171836835666909E-02 &-0.4080100008650334E-02 &-0.4080100008650334E-02\\
|
|
||||||
$e_\lambda$ & -0.1004271883437467E-03 & -0.4171836835666905E-06 & -0.4080100008650330E-06 &-0.4080100008650330E-06\\
|
|
||||||
$e_\lambda/\epsilon_\lambda$ &{\textbf{ -100.4271883437468 }}&{\textbf{ -0.4171836835666907 }}&{\textbf{ -0.4080100008650331 }}&{\textbf{ -0.4080100008650331 }} \\
|
|
||||||
\ &&&&\ \\
|
|
||||||
& \multicolumn{4}{l}{$\lambda =$ 100000.0000000002 ; $\xi_\lambda = $0.031622776601683826 ; $\epsilon_\lambda$ = 3.162277660168376E-7}\\
|
|
||||||
& ${\langle x \rangle_{\!\mathrm{w(1)}}}$ & ${\langle x \rangle_{\!\mathrm{w(2)}}}$ & $\langle x \rangle^*$ & $\langle x \rangle$\\
|
|
||||||
Averages & 99999.01275394148 & 100000.0127639189 & 100000.0125627100 & 100000.0125627100 \\
|
|
||||||
$E_\lambda$ & -0.9872460587212117 & 0.1276391866849735E-01 & 0.1256270980229601E-01 & 0.1256270980229601E-01\\
|
|
||||||
$e_\lambda$ & -0.9872460587212097E-05 & 0.1276391866849733E-06 & 0.1256270980229599E-06 & 0.1256270980229599E-06\\
|
|
||||||
$e_\lambda/\epsilon_\lambda$ &{\textbf{ -31.21946156583365 }}&{\textbf{ 0.4036305486159527 }}&{\textbf{ 0.3972677655897895 }}&{\textbf{ 0.3972677655897895 }} \\
|
|
||||||
\ &&&&\ \\
|
|
||||||
& \multicolumn{4}{l}{$\lambda =$ 1000000.0000000013 ; $\xi_\lambda = $0.10000000000000006 ; $\epsilon_\lambda$ = 9.999999999999993E-8}\\
|
|
||||||
& ${\langle x \rangle_{\!\mathrm{w(1)}}}$ & ${\langle x \rangle_{\!\mathrm{w(2)}}}$ & $\langle x \rangle^*$ & $\langle x \rangle$\\
|
|
||||||
Averages & 999999.1188353101 & 1000000.118835812 & 1000000.118809340 & 1000000.118809340 \\
|
|
||||||
$E_\lambda$ & -0.8811646911781281 & 0.1188358106883243 & 0.1188093387754634 & 0.1188093387754634 \\
|
|
||||||
$e_\lambda$ & -0.8811646911781270E-06 & 0.1188358106883241E-06 & 0.1188093387754633E-06 & 0.1188093387754633E-06\\
|
|
||||||
$e_\lambda/\epsilon_\lambda$ &{\textbf{ -8.811646911781276 }}&{\textbf{ 1.188358106883242 }}&{\textbf{ 1.188093387754633 }}&{\textbf{ 1.188093387754633}} \\
|
|
||||||
\end{tabular}
|
|
||||||
|
|
||||||
\normalsize
|
|
||||||
|
|
||||||
As it is visible from the table:
|
|
||||||
\begin{itemize}
|
|
||||||
\item[1.\quad]{${\langle x \rangle_{\!\mathrm{w(1)}}}\ :$ the weighted average using straight Poisson statistics is consistenty bad at all values of $\lambda$, that means at all counting levels;}
|
|
||||||
\item[2.\quad]{${\langle x \rangle^*}\ $: the normal average skipping zero count data is bad for $\lambda<100$, that means at low counting levels (of course at higher counting levels zeroes are not happening);}
|
|
||||||
\item[3.\quad]{${\langle x \rangle}\ \text{and}\ {\langle x \rangle_{\!\mathrm{w(2)}}}$: the normal average including zero count data and the Mighell-Poisson weighted average
|
|
||||||
are consistently and equivalently good at all counting levels.}
|
|
||||||
\end{itemize}
|
|
||||||
Therefore there is no bias when using the Mighell-Poisson weighted method to average data w.r.t. the usual average. The former, however,
|
|
||||||
has already accomplished the passage to normal statistics, therefore all operations on data that are not simple averaging can be done in
|
|
||||||
the framework of normal statistics, where everything is known and clear. In the next section, on the opposite, it is shown that
|
|
||||||
even simple operations as scaling data lead to the necessity of abandoning Poisson statistics in order to estimate correctly the standard deviations.
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\subsection{Scaling Poisson variates}\label{sec:3}
|
|
||||||
|
|
||||||
If we have a count value $C_0$ that follows a Poisson distribution,
|
|
||||||
we can assume immediately that the average is $C_0$ and the s.d. is $\sqrt{C_0}$.
|
|
||||||
I.e., repeated experiments would give values $n$
|
|
||||||
distributed according to the normalized distribution
|
|
||||||
\[
|
|
||||||
P(n)=\DSF{C_0^n\EE^{-C_0}
|
|
||||||
}{
|
|
||||||
n!}
|
|
||||||
\]
|
|
||||||
This obeys
|
|
||||||
\[
|
|
||||||
\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
P(n)=1\ ;
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\langle n\rangle=\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
nP(n)=C_0\ ;
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\langle n^2\rangle=\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
n^2 P(n)=C_0^2+C_0\ ;
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\sigma_{C_0}=\sqrt{\langle n^2\rangle-\langle n\rangle^2}=\sqrt{C_0}
|
|
||||||
\]
|
|
||||||
Suppose now that
|
|
||||||
our observable is
|
|
||||||
\[
|
|
||||||
X_0=\eta_0 C_0
|
|
||||||
\]
|
|
||||||
where $\eta_0$ is a known error-free scaling factor.
|
|
||||||
The distribution of $X$ is
|
|
||||||
\[
|
|
||||||
P'(X)=P(X/\eta_0)=P(n)\qquad\Biggl|\Biggr.\qquad \frac{X}{\eta_0}\equiv n\in\mathbb{Z}
|
|
||||||
%=\left.\DSF{(X_0/\eta_0)^{X/\eta_0}\EE^{-X_0/\eta_0}}{(X/\eta_0)!}\right|_{\frac{X}{\eta_0}\in\mathbb{Z}}
|
|
||||||
\]
|
|
||||||
and now,
|
|
||||||
\[
|
|
||||||
\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
P(n)=1\ ;
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\langle X\rangle=\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
\eta_0 nP(n)=\eta_0 C_0=X_0\ ;
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\langle X^2\rangle=\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
\eta_0^2 n^2 P(n)=\eta_0^2(C_0^2+C_0)=X_0^2+\eta_0 X_0\ ;
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\sigma_X=\sqrt{\langle X^2\rangle-\langle X\rangle^2}=\sqrt{\eta_0 X_0}=\eta_0\sqrt{C_0}=\sqrt{\eta_0}\sqrt{X_0}
|
|
||||||
\]
|
|
||||||
Now it is no more valid that $\sigma_X=\sqrt{\langle X\rangle}=\sqrt{X_0}$, instead
|
|
||||||
\[
|
|
||||||
\sigma_X=\sqrt{\eta_0}\sqrt{X_0}=\eta_0\sqrt{C_0}=\eta_0\sigma_{C_0}
|
|
||||||
\]
|
|
||||||
that is the characteristic relationship for a normal-variate distribution.
|
|
||||||
|
|
||||||
Moreover, assume now that the scaling factor is not exctly known
|
|
||||||
but instead it is a normal-variate itself with average $\eta_0$, s.d.
|
|
||||||
$\sigma_{\eta_0}$, and distribution
|
|
||||||
\[
|
|
||||||
\widehat{P}(\eta)=\DSF{
|
|
||||||
\EE^{
|
|
||||||
-\frac{1}{2}
|
|
||||||
\lrb{
|
|
||||||
\frac{\eta-\eta_0}{\sigma_{\eta_0}}
|
|
||||||
}^2
|
|
||||||
}
|
|
||||||
}{
|
|
||||||
\sigma_{\eta_0}\sqrt{2\pi}
|
|
||||||
}
|
|
||||||
\]
|
|
||||||
Then,
|
|
||||||
\[
|
|
||||||
\int_{-\infty}^{+\infty}\DD{\eta}\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
P(n)\widehat{P}(\eta)=1\ ;
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\langle X\rangle=\int_{-\infty}^{+\infty}\DD{\eta}\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
\widehat{P}(\eta)\eta nP(n)=
|
|
||||||
\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
nP(n)
|
|
||||||
\int_{-\infty}^{+\infty}\DD{\eta} \widehat{P}(\eta)\eta
|
|
||||||
=
|
|
||||||
\eta_0 C_0=X_0\ ;
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\langle X^2\rangle=\int_{-\infty}^{+\infty}\DD{\eta}\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
\widehat{P}(\eta)\eta^2 n^2 P(n)=
|
|
||||||
\int_{-\infty}^{+\infty}\DD{\eta}\widehat{P}(\eta)\eta^2
|
|
||||||
\mathop{\sum}_{n=0}^{+\infty}
|
|
||||||
n^2 P(n)
|
|
||||||
=
|
|
||||||
(\eta_0^2+\sigma_{\eta_0}^2)(C_0^2+C_0)\ ;
|
|
||||||
\]
|
|
||||||
\[
|
|
||||||
\DSF{\sigma_X}{\langle X\rangle}=\DSF{\sqrt{\langle X^2\rangle-\langle X\rangle^2}}{\langle X\rangle}
|
|
||||||
=\DSF{\sqrt{
|
|
||||||
\eta_0^2 C_0+\sigma_{\eta_0}^2C_0^2+\sigma_{\eta_0}^2 C_0
|
|
||||||
}}{\eta_0C_0}=
|
|
||||||
\sqrt{
|
|
||||||
\lrb{\DSF{ \sigma_{C_0}}{C_0}}^2
|
|
||||||
+\lrb{\DSF{\sigma_{\eta_0}}{\eta_0}}^2+\lrb{\DSF{\sigma_{\eta_0}}{\eta_0}\DSF{\sigma_{C_0}}{C_0}}^2
|
|
||||||
}\approx\sqrt{
|
|
||||||
\lrb{\DSF{ \sigma_{C_0}}{C_0}}^2
|
|
||||||
+\lrb{\DSF{\sigma_{\eta_0}}{\eta_0}}^2
|
|
||||||
}
|
|
||||||
%=\sqrt{\eta_0^2\sigma_{C_0}^2}
|
|
||||||
\]
|
|
||||||
where in the last we discard, as usual, the 4th order in the relative errors. Both the exact and approximated forms
|
|
||||||
are exactly the same as if both distributions were to be normal.
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\subsection*{Bibliography}
|
|
||||||
|
|
||||||
[1] - B. E. Warren, {\textit{"X-Ray Diffraction"}} (Dover:1990)
|
|
||||||
|
|
||||||
[2] - A. Guinier, {\textit{"X-Ray Diffraction In Crystals, Imperfect Crystals, and Amorphous Bodies"}} (Dover:1994)
|
|
||||||
|
|
||||||
[3] - G. L. Squires, {\textit{"Introduction to the Theory of Thermal Neutron Scattering"}} (Dover:1997)
|
|
||||||
|
|
||||||
[4] - G. E. P. Box, G. C. Tiao, {\textit{"Bayesian inference in statistical analysis"}} (Wiley, NY: 1996)
|
|
||||||
|
|
||||||
[5] - E. Prince, P. T. Boggs, {\textit{"International Tables for Crystallography"}} Vol. C, ch.~8.1, pp.~678-688 (First online edition : 2006)
|
|
||||||
|
|
||||||
[6] - K. J. Mighell, {\textit{Astrophys. J.}} {\textbf{518}} (1999) p. 380--393
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
\section{Why can't I properly merge different positions?}
|
|
||||||
|
|
||||||
From my experience, when data don't merge properly after flat-file corrections there are mainly two reasons:
|
|
||||||
\begin{itemize}
|
|
||||||
\item FLUORESCENCE. We ahve already discussed about it and normally it shouws up as differences between individual channels or groups of channels i.e. the patterns don't match in several places.
|
|
||||||
This does not seem the case, in my opinion (but do you know exactly what's inside Aspirin?)
|
|
||||||
|
|
||||||
\item Background scattering from the air. When you move the detector the walls of the housing make a different shadow on the modules and at small angles if you have no beamstopper it could even be backscattering from the housing hit by the beam in the different positions. The only way of improving it is to properly place the beamstopper and to avoid air scattering before the sample e.g. by using a "nose" from the end of your flight tube to very close to the sample.
|
|
||||||
Of course the problem is stronger at lower energies (more air scattering) and normally with the detector positioned at low angles (scattering from the housing, shadowing of the "forward" scattered beam).
|
|
||||||
When you see this problem you could try to take data e.g. at 20-25 degrees instead of 5-10 degrees and see if it's still there.
|
|
||||||
It could also be that the geometry of your housing with the flat window and shorter path inside the housing amplifies the problem, so that you should take special care of it with respect to the SLS where we have just a feww cm before entering the housing and then half a meter inside it.
|
|
||||||
|
|
||||||
\item Your sample changes over time e.g. in case of radiation damage and long exposure times (usually several seconds).
|
|
||||||
|
|
||||||
\end{itemize}
|
|
||||||
|
|
||||||
@ -1,8 +0,0 @@
|
|||||||
|
|
||||||
Various issues concerning calibration, dynamic gain switching, data handling data processing etc.
|
|
||||||
\section{(Dynamic) Gain Switching}
|
|
||||||
\section{Pedestals}
|
|
||||||
\section{Energy calibration}
|
|
||||||
\section{Data processing}
|
|
||||||
|
|
||||||
|
|
||||||
File diff suppressed because it is too large
Load Diff
@ -1,405 +0,0 @@
|
|||||||
#FIG 3.2
|
|
||||||
Landscape
|
|
||||||
Center
|
|
||||||
Inches
|
|
||||||
Letter
|
|
||||||
100.00
|
|
||||||
Single
|
|
||||||
-2
|
|
||||||
1200 2
|
|
||||||
0 32 #c6b797
|
|
||||||
0 33 #eff8ff
|
|
||||||
0 34 #dccba6
|
|
||||||
0 35 #404040
|
|
||||||
0 36 #808080
|
|
||||||
0 37 #c0c0c0
|
|
||||||
0 38 #e0e0e0
|
|
||||||
0 39 #8e8f8e
|
|
||||||
0 40 #aaaaaa
|
|
||||||
0 41 #555555
|
|
||||||
0 42 #8e8e8e
|
|
||||||
0 43 #d7d7d7
|
|
||||||
0 44 #aeaeae
|
|
||||||
0 45 #bebebe
|
|
||||||
0 46 #515151
|
|
||||||
0 47 #e7e3e7
|
|
||||||
0 48 #000049
|
|
||||||
0 49 #797979
|
|
||||||
0 50 #303430
|
|
||||||
0 51 #414141
|
|
||||||
0 52 #c7b696
|
|
||||||
0 53 #414541
|
|
||||||
0 54 #9c0000
|
|
||||||
0 55 #8c8c8c
|
|
||||||
0 56 #424242
|
|
||||||
0 57 #8c8c8c
|
|
||||||
0 58 #424242
|
|
||||||
0 59 #8c8c8c
|
|
||||||
0 60 #424242
|
|
||||||
0 61 #8c8c8c
|
|
||||||
0 62 #424242
|
|
||||||
0 63 #8c8c8c
|
|
||||||
0 64 #424242
|
|
||||||
0 65 #8c8c8c
|
|
||||||
0 66 #424242
|
|
||||||
# Monitor, keyboard and mouse
|
|
||||||
# Drawn by Ernst Pisch
|
|
||||||
6 1425 5881 4650 9450
|
|
||||||
6 1438 8169 3334 9442
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 1867.039 8263.686 1844 8253 1865 8289 1892 8259
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 1969.039 8323.686 1946 8313 1967 8349 1994 8319
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2024.146 8363.697 2001 8353 2021 8389 2049 8358
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2080.522 8395.348 2057 8385 2079 8421 2106 8392
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2135.039 8429.686 2112 8419 2133 8455 2160 8425
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2186.039 8462.686 2163 8452 2184 8488 2211 8458
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2427.039 8597.686 2404 8587 2425 8623 2452 8593
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2381.606 8564.296 2358 8554 2380 8590 2407 8560
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2333.039 8540.686 2310 8530 2331 8566 2358 8536
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2276.599 8507.359 2253 8497 2274 8533 2302 8503
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2926.039 8889.686 2903 8879 2924 8915 2951 8885
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2878.039 8859.686 2855 8849 2876 8885 2903 8855
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2830.039 8832.686 2807 8822 2828 8858 2855 8828
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2782.039 8805.686 2759 8795 2780 8831 2807 8801
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2713.030 8757.762 2690 8747 2710 8783 2738 8753
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2661.154 8727.618 2638 8717 2659 8753 2686 8722
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2606.833 8694.500 2584 8683 2605 8720 2632 8690
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2555.944 8669.741 2533 8659 2554 8695 2581 8666
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2507.945 8643.437 2485 8632 2506 8669 2533 8638
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2408.159 8989.569 2385 8979 2407 9015 2433 8984
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2354.522 8961.348 2331 8951 2353 8987 2380 8958
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2297.154 8929.618 2274 8919 2295 8955 2322 8924
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2231.039 8889.686 2208 8879 2229 8915 2256 8885
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 1740.607 8606.296 1717 8596 1739 8632 1766 8602
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 1674.599 8561.359 1651 8551 1672 8587 1700 8557
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 1608.039 8525.686 1585 8515 1606 8551 1633 8521
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2790.833 8995.500 2768 8984 2789 9021 2816 8991
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2727.944 8958.741 2705 8948 2726 8984 2753 8955
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2655.607 8913.296 2632 8903 2654 8939 2681 8909
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2751.946 8917.437 2729 8906 2750 8943 2777 8912
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2817.944 8958.741 2795 8948 2816 8984 2843 8955
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2692.039 8877.686 2669 8867 2690 8903 2717 8873
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2598.039 9094.686 2575 9084 2596 9120 2623 9090
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2538.039 9061.686 2515 9051 2536 9087 2563 9057
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2487.154 9028.618 2464 9018 2485 9054 2512 9023
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2589.154 9028.618 2566 9018 2587 9054 2614 9023
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2845.039 9223.686 2822 9213 2843 9249 2870 9219
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2779.039 9190.686 2756 9180 2777 9216 2804 9186
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2709.045 9151.639 2686 9141 2708 9177 2734 9147
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 3002.030 9163.762 2979 9153 2999 9189 3027 9159
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 3053.039 9118.686 3030 9108 3051 9144 3078 9114
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2887.039 9184.686 2864 9174 2885 9210 2912 9180
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2938.039 9133.686 2915 9123 2936 9159 2963 9129
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2993.039 9088.686 2970 9078 2991 9114 3018 9084
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2821.039 9151.686 2798 9141 2819 9177 2846 9147
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2875.039 9109.686 2852 9099 2873 9135 2900 9105
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2926.039 9058.686 2903 9048 2924 9084 2951 9054
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2757.607 9112.296 2734 9102 2756 9138 2783 9108
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2815.039 9076.686 2792 9066 2813 9102 2840 9072
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2869.039 9031.686 2846 9021 2867 9057 2894 9027
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2391.039 8913.686 2368 8903 2389 8939 2416 8909
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2330.606 8877.296 2307 8867 2329 8903 2356 8873
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2264.599 8835.359 2241 8825 2262 8861 2290 8831
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2201.039 8790.686 2178 8780 2199 8816 2226 8786
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2141.039 8757.686 2118 8747 2139 8783 2166 8753
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2075.039 8724.686 2052 8714 2073 8750 2100 8720
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2014.711 8688.232 1991 8678 2013 8714 2040 8683
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 1951.506 8655.118 1928 8644 1949 8681 1977 8650
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 1884.944 8621.741 1862 8611 1883 8647 1910 8618
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 1822.039 8579.686 1799 8569 1820 8605 1847 8575
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 1752.607 8540.296 1729 8530 1751 8566 1778 8536
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 1687.030 8495.762 1664 8485 1684 8521 1712 8491
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 1735.030 8447.762 1712 8437 1732 8473 1760 8443
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 1798.154 8399.618 1775 8389 1796 8425 1823 8394
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 1731.154 8366.618 1708 8356 1729 8392 1756 8361
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2439.039 8874.686 2416 8864 2437 8900 2464 8870
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2484.039 8826.686 2461 8816 2482 8852 2509 8822
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 1801.039 8492.686 1778 8482 1799 8518 1826 8488
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 1858.039 8537.686 1835 8527 1856 8563 1883 8533
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 1915.039 8573.686 1892 8563 1913 8599 1940 8569
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 1981.039 8612.686 1958 8602 1979 8638 2006 8608
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2043.945 8643.437 2021 8632 2042 8669 2069 8638
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2104.411 8682.120 2081 8671 2103 8708 2130 8678
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2159.154 8715.618 2136 8705 2157 8741 2184 8710
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2222.039 8751.686 2199 8741 2220 8777 2247 8747
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2285.039 8787.686 2262 8777 2283 8813 2310 8783
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2357.045 8823.639 2334 8813 2356 8849 2382 8819
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2405.606 8790.296 2382 8780 2404 8816 2431 8786
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2342.606 8751.296 2319 8741 2341 8777 2368 8747
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2269.944 8708.741 2247 8698 2268 8734 2295 8705
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2209.944 8669.741 2187 8659 2208 8695 2235 8666
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2146.945 8631.437 2124 8620 2145 8657 2172 8626
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2092.606 8594.296 2069 8584 2091 8620 2118 8590
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2026.607 8558.296 2003 8548 2025 8584 2052 8554
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 1966.045 8519.639 1943 8509 1965 8545 1991 8515
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 1909.039 8486.686 1886 8476 1907 8512 1934 8482
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 1855.039 8450.686 1832 8440 1853 8476 1880 8446
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2532.039 8787.686 2509 8777 2530 8813 2557 8783
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2460.039 8751.686 2437 8741 2458 8777 2485 8747
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2393.711 8715.232 2370 8705 2392 8741 2419 8710
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2324.595 8677.002 2302 8666 2322 8702 2349 8671
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2258.039 8636.686 2235 8626 2256 8662 2283 8632
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2198.039 8597.686 2175 8587 2196 8623 2223 8593
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2141.039 8555.686 2118 8545 2139 8581 2166 8551
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2080.606 8528.296 2057 8518 2079 8554 2106 8524
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 2026.607 8489.296 2003 8479 2025 8515 2052 8485
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 1963.599 8453.359 1940 8443 1961 8479 1989 8449
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 1906.039 8417.686 1883 8407 1904 8443 1931 8413
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 1849.154 8375.618 1826 8365 1847 8401 1874 8370
|
|
||||||
5 1 0 1 -1 44 100 0 -1 0.000 0 1 0 0 1791.711 8339.232 1768 8329 1790 8365 1817 8334
|
|
||||||
2 1 0 1 -1 44 100 0 20 0.000 0 0 -1 0 0 3
|
|
||||||
2913 9428 3265 9139 3271 9207
|
|
||||||
2 3 0 2 -1 44 100 0 -1 0.000 0 0 -1 0 0 5
|
|
||||||
2900 9428 3311 9099 3307 9018 2904 9356 2900 9428
|
|
||||||
2 1 0 2 -1 44 100 0 -1 0.000 0 0 -1 0 0 5
|
|
||||||
2904 9433 1455 8593 1447 8525 1871 8191 3311 9018
|
|
||||||
2 1 0 1 -1 44 100 0 -1 0.000 0 0 -1 0 0 2
|
|
||||||
2904 9365 1447 8525
|
|
||||||
2 1 0 1 -1 44 100 0 -1 0.000 0 0 -1 0 0 3
|
|
||||||
1519 8521 2413 9035 2630 8819
|
|
||||||
2 1 0 1 -1 44 100 0 -1 0.000 0 0 -1 0 0 3
|
|
||||||
1820 8271 1871 8304 1916 8268
|
|
||||||
2 1 0 1 -1 44 100 0 -1 0.000 0 0 -1 0 0 3
|
|
||||||
1925 8334 2178 8494 2217 8452
|
|
||||||
2 1 0 1 -1 44 100 0 -1 0.000 0 0 -1 0 0 3
|
|
||||||
2226 8515 2428 8635 2482 8593
|
|
||||||
2 1 0 1 -1 44 100 0 -1 0.000 0 0 -1 0 0 3
|
|
||||||
2467 8657 2710 8792 2750 8759
|
|
||||||
2 1 0 1 -1 44 100 0 -1 0.000 0 0 -1 0 0 3
|
|
||||||
2657 9171 2900 9307 3117 9117
|
|
||||||
2 1 0 1 -1 44 100 0 -1 0.000 0 0 -1 0 0 3
|
|
||||||
2738 8819 2927 8927 2970 8888
|
|
||||||
2 1 0 1 -1 44 100 0 -1 0.000 0 0 -1 0 0 3
|
|
||||||
2602 8927 2792 9035 2873 8955
|
|
||||||
2 1 0 1 -1 44 100 0 -1 0.000 0 0 -1 0 0 3
|
|
||||||
2413 9035 2602 9144 2657 9090
|
|
||||||
3 0 0 1 -1 44 100 0 -1 0.000 0 0 0 4
|
|
||||||
1582 8461 1588 8488 1615 8488 1688 8421
|
|
||||||
0.000 1.000 1.000 0.000
|
|
||||||
3 0 0 1 -1 44 100 0 -1 0.000 0 0 0 4
|
|
||||||
2428 8924 2433 8951 2461 8951 2533 8885
|
|
||||||
0.000 1.000 1.000 0.000
|
|
||||||
3 0 0 1 -1 44 100 0 -1 0.000 0 0 0 4
|
|
||||||
2882 9249 2888 9276 2915 9276 2987 9210
|
|
||||||
0.000 1.000 1.000 0.000
|
|
||||||
3 0 0 1 -1 44 100 0 -1 0.000 0 0 0 8
|
|
||||||
1796 8623 1790 8642 1796 8666 2145 8864 2175 8867 2190 8855
|
|
||||||
2190 8837 2178 8822
|
|
||||||
0.000 1.000 1.000 1.000 1.000 1.000 1.000 0.000
|
|
||||||
-6
|
|
||||||
6 3469 8710 3875 9063
|
|
||||||
3 1 0 2 -1 44 100 0 -1 0.000 0 0 0 17
|
|
||||||
3663 8774 3613 8769 3560 8778 3518 8810 3482 8859 3474 8904
|
|
||||||
3474 8959 3500 8986 3560 8999 3636 9004 3668 8986 3690 8940
|
|
||||||
3731 8909 3762 8873 3776 8832 3744 8796 3699 8783
|
|
||||||
1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000
|
|
||||||
1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000
|
|
||||||
1.000
|
|
||||||
3 0 0 2 -1 44 100 0 -1 0.000 0 0 0 15
|
|
||||||
3496 8986 3546 9035 3613 9045 3681 9035 3735 8999 3762 8955
|
|
||||||
3794 8923 3848 8886 3866 8868 3866 8814 3848 8774 3807 8751
|
|
||||||
3767 8733 3708 8729 3668 8765
|
|
||||||
0.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000
|
|
||||||
1.000 1.000 1.000 1.000 1.000 1.000 0.000
|
|
||||||
-6
|
|
||||||
2 1 0 2 -1 44 100 0 -1 0.000 0 0 -1 0 0 2
|
|
||||||
3180 8132 3171 7139
|
|
||||||
2 1 0 2 -1 44 100 0 -1 0.000 0 0 -1 0 0 2
|
|
||||||
3424 6905 2151 6183
|
|
||||||
2 1 0 2 -1 44 100 0 -1 0.000 0 0 -1 0 0 2
|
|
||||||
2042 7826 2052 6264
|
|
||||||
2 1 0 2 -1 44 100 0 -1 0.000 0 0 -1 0 0 2
|
|
||||||
3316 8575 3307 6986
|
|
||||||
2 1 0 2 -1 44 100 0 -1 0.000 0 0 -1 0 0 3
|
|
||||||
3316 8566 3433 8503 3424 6914
|
|
||||||
2 1 0 2 -1 44 100 0 -1 0.000 0 0 -1 0 0 3
|
|
||||||
2999 6156 3613 5903 3812 6011
|
|
||||||
2 1 0 2 -1 44 100 0 -1 0.000 0 0 -1 0 0 6
|
|
||||||
4354 6264 4345 6336 4607 6489 4625 7419 3613 7970 3586 8033
|
|
||||||
2 1 0 2 -1 44 100 0 -1 0.000 0 0 -1 0 0 4
|
|
||||||
4607 6498 3632 6968 3632 7004 3596 7040
|
|
||||||
2 1 0 2 -1 44 100 0 -1 0.000 0 0 -1 0 0 2
|
|
||||||
3604 7031 3604 8016
|
|
||||||
2 1 0 2 -1 44 100 0 -1 0.000 0 0 -1 0 0 2
|
|
||||||
4463 7519 4453 7681
|
|
||||||
2 1 0 1 -1 44 100 0 -1 0.000 0 0 -1 0 0 4
|
|
||||||
3135 8335 3135 8268 3063 8236 3063 8304
|
|
||||||
2 1 0 1 -1 44 100 0 -1 0.000 0 0 -1 0 0 4
|
|
||||||
3013 8277 3018 8259 3022 8259 3027 8282
|
|
||||||
2 1 0 1 -1 44 100 0 -1 0.000 0 0 -1 0 0 3
|
|
||||||
2178 7727 2241 7780 2241 7826
|
|
||||||
2 1 0 1 -1 44 100 0 -1 0.000 0 0 -1 0 0 3
|
|
||||||
2361 7970 2361 7985 2373 7985
|
|
||||||
2 1 0 1 -1 44 100 0 -1 0.000 0 0 -1 0 0 3
|
|
||||||
2409 7997 2409 8012 2421 8012
|
|
||||||
2 1 0 1 -1 44 100 0 -1 0.000 0 0 -1 0 0 3
|
|
||||||
2455 8028 2455 8042 2467 8042
|
|
||||||
2 1 0 1 -1 44 100 0 -1 0.000 0 0 -1 0 0 3
|
|
||||||
2497 8055 2497 8069 2509 8069
|
|
||||||
2 1 0 1 -1 44 100 0 -1 0.000 0 0 -1 0 0 3
|
|
||||||
2542 8081 2542 8096 2554 8096
|
|
||||||
2 1 0 1 -1 44 100 0 -1 0.000 0 0 -1 0 0 3
|
|
||||||
2587 8108 2587 8124 2599 8124
|
|
||||||
2 1 0 1 -1 44 100 0 -1 0.000 0 0 -1 0 0 3
|
|
||||||
2630 8136 2630 8151 2642 8151
|
|
||||||
2 1 0 1 -1 44 100 0 -1 0.000 0 0 -1 0 0 3
|
|
||||||
2681 8163 2681 8178 2693 8178
|
|
||||||
2 1 0 1 -1 44 100 0 -1 0.000 0 0 -1 0 0 3
|
|
||||||
2726 8184 2726 8199 2738 8199
|
|
||||||
2 1 0 1 -1 44 100 0 -1 0.000 0 0 -1 0 0 3
|
|
||||||
2777 8211 2777 8226 2789 8226
|
|
||||||
3 2 0 2 -1 44 100 0 -1 0.000 0 0 0 10
|
|
||||||
2042 6264 2169 6173 2404 6128 2674 6128 3027 6156 3324 6156
|
|
||||||
3505 6146 3659 6083 3767 6020 3866 5984
|
|
||||||
0.000 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000
|
|
||||||
-1.000 0.000
|
|
||||||
3 2 0 2 -1 44 100 0 -1 0.000 0 0 0 8
|
|
||||||
3307 6986 3415 6923 3541 6851 3632 6760 3722 6634 3821 6544
|
|
||||||
4020 6435 4345 6264
|
|
||||||
0.000 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 0.000
|
|
||||||
3 2 0 2 -1 44 100 0 -1 0.000 0 0 0 3
|
|
||||||
4345 6264 4101 6083 3848 5984
|
|
||||||
0.000 -1.000 0.000
|
|
||||||
3 2 0 2 -1 44 100 0 -1 0.000 0 0 0 3
|
|
||||||
3316 6995 2593 6634 2042 6255
|
|
||||||
0.000 -1.000 0.000
|
|
||||||
3 2 0 2 -1 44 100 0 -1 0.000 0 0 0 7
|
|
||||||
3316 8566 3108 8467 3081 8413 2620 8178 2304 7979 2169 7925
|
|
||||||
2033 7817
|
|
||||||
0.000 -1.000 -1.000 -1.000 -1.000 -1.000 0.000
|
|
||||||
3 2 0 2 -1 44 100 0 -1 0.000 0 0 0 3
|
|
||||||
3207 7149 2620 6877 2169 6553
|
|
||||||
0.000 -1.000 0.000
|
|
||||||
3 2 0 2 -1 44 100 0 -1 0.000 0 0 0 3
|
|
||||||
2232 7591 2196 7049 2223 6607
|
|
||||||
0.000 -1.000 0.000
|
|
||||||
3 2 0 2 -1 44 100 0 -1 0.000 0 0 0 3
|
|
||||||
3171 8124 2611 7853 2232 7582
|
|
||||||
0.000 -1.000 0.000
|
|
||||||
3 2 0 2 -1 44 100 0 -1 0.000 0 0 0 6
|
|
||||||
4471 7681 3713 8124 3668 8178 3604 8304 3523 8431 3424 8503
|
|
||||||
0.000 -1.000 -1.000 -1.000 -1.000 0.000
|
|
||||||
3 2 0 2 -1 44 100 0 -1 0.000 0 0 0 8
|
|
||||||
2476 8124 2512 8368 2729 8521 2999 8602 3324 8602 3632 8503
|
|
||||||
3812 8358 3866 8142
|
|
||||||
0.000 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 0.000
|
|
||||||
3 2 0 2 -1 44 100 0 -1 0.000 0 0 0 6
|
|
||||||
2476 8304 2630 8521 2972 8647 3352 8638 3668 8530 3839 8341
|
|
||||||
0.000 -1.000 -1.000 -1.000 -1.000 0.000
|
|
||||||
3 2 0 1 -1 44 100 0 -1 0.000 0 0 0 3
|
|
||||||
3189 8385 2602 8096 2205 7844
|
|
||||||
0.000 -1.000 0.000
|
|
||||||
-6
|
|
||||||
6 4650 6675 6900 8025
|
|
||||||
2 3 0 1 0 7 100 0 20 0.000 0 0 7 0 0 11
|
|
||||||
5314 7103 5314 6725 4700 7339 5314 7953 5314 7575 6212 7575
|
|
||||||
6212 7953 6826 7339 6212 6725 6212 7103 5314 7103
|
|
||||||
-6
|
|
||||||
# Primergy server
|
|
||||||
# Drawn by Ernst Pisch
|
|
||||||
6 6900 6000 9339 8775
|
|
||||||
5 1 0 2 -1 7 100 0 -1 0.000 0 1 0 0 7222.214 7565.500 7139 7530 7139 7601 7209 7655
|
|
||||||
5 1 0 2 -1 7 100 0 -1 0.000 0 1 0 0 7404.500 7595.500 7320 7560 7320 7631 7390 7686
|
|
||||||
5 1 0 2 -1 7 100 0 -1 0.000 0 1 0 0 7583.035 7625.500 7500 7590 7500 7661 7571 7715
|
|
||||||
5 1 0 0 -1 7 100 0 -1 0.000 0 1 0 0 7765.303 7644.500 7681 7609 7681 7680 7752 7735
|
|
||||||
5 1 0 2 -1 7 100 0 -1 0.000 0 1 0 0 7224.400 7765.000 7139 7730 7139 7800 7209 7856
|
|
||||||
5 1 0 2 -1 7 100 0 -1 0.000 0 1 0 0 7223.107 7976.000 7139 7941 7139 8011 7209 8066
|
|
||||||
5 1 0 2 -1 7 100 0 -1 0.000 0 1 0 0 7223.107 8187.000 7139 8152 7139 8222 7209 8277
|
|
||||||
5 1 0 2 -1 7 100 0 -1 0.000 0 1 0 0 7405.400 7795.000 7320 7760 7320 7830 7390 7886
|
|
||||||
5 1 0 2 -1 7 100 0 -1 0.000 0 1 0 0 7584.303 7825.500 7500 7790 7500 7861 7571 7916
|
|
||||||
5 1 0 2 -1 7 100 0 -1 0.000 0 1 0 0 7766.190 7855.000 7681 7820 7681 7890 7752 7946
|
|
||||||
5 1 0 2 -1 7 100 0 -1 0.000 0 1 0 0 7405.400 8006.000 7320 7971 7320 8041 7390 8097
|
|
||||||
5 1 0 2 -1 7 100 0 -1 0.000 0 1 0 0 7404.107 8217.000 7320 8182 7320 8252 7390 8307
|
|
||||||
5 1 0 2 -1 7 100 0 -1 0.000 0 1 0 0 7583.915 8036.000 7500 8001 7500 8071 7571 8126
|
|
||||||
5 1 0 2 -1 7 100 0 -1 0.000 0 1 0 0 7584.303 8247.500 7500 8212 7500 8283 7571 8338
|
|
||||||
5 1 0 2 -1 7 100 0 -1 0.000 0 1 0 0 7765.303 8066.500 7681 8031 7681 8102 7752 8157
|
|
||||||
5 1 0 2 -1 7 100 0 -1 0.000 0 1 0 0 7764.915 8277.000 7681 8242 7681 8312 7752 8367
|
|
||||||
1 1 0 2 -1 7 100 0 -1 0.000 1 6.1959 7169 7595 70 80 7169 7595 7239 7676
|
|
||||||
1 1 0 2 -1 7 100 0 -1 0.000 1 6.1959 7350 7625 70 80 7350 7625 7420 7706
|
|
||||||
1 1 0 2 -1 7 100 0 -1 0.000 1 6.1959 7530 7655 70 80 7530 7655 7601 7736
|
|
||||||
1 1 0 2 -1 7 100 0 -1 0.000 1 6.1959 7712 7675 70 80 7712 7675 7782 7755
|
|
||||||
1 1 0 2 -1 7 100 0 -1 0.000 1 6.1959 7169 7795 70 80 7169 7795 7239 7876
|
|
||||||
1 1 0 2 -1 7 100 0 -1 0.000 1 6.1959 7169 8006 70 80 7169 8006 7239 8087
|
|
||||||
1 1 0 2 -1 7 100 0 -1 0.000 1 6.1959 7169 8217 70 80 7169 8217 7239 8297
|
|
||||||
1 1 0 2 -1 7 100 0 -1 0.000 1 6.1959 7350 7825 70 80 7350 7825 7420 7906
|
|
||||||
1 1 0 2 -1 7 100 0 -1 0.000 1 6.1959 7530 7856 70 80 7530 7856 7601 7936
|
|
||||||
1 1 0 2 -1 7 100 0 -1 0.000 1 6.1959 7712 7886 70 80 7712 7886 7782 7966
|
|
||||||
1 1 0 2 -1 7 100 0 -1 0.000 1 6.1959 7350 8036 70 80 7350 8036 7420 8117
|
|
||||||
1 1 0 2 -1 7 100 0 -1 0.000 1 6.1959 7350 8247 70 80 7350 8247 7420 8328
|
|
||||||
1 1 0 2 -1 7 100 0 -1 0.000 1 6.1959 7530 8066 70 80 7530 8066 7601 8147
|
|
||||||
1 1 0 2 -1 7 100 0 -1 0.000 1 6.1959 7530 8277 70 80 7530 8277 7601 8358
|
|
||||||
1 1 0 2 -1 7 100 0 -1 0.000 1 6.1959 7712 8097 70 80 7712 8097 7782 8177
|
|
||||||
1 1 0 2 -1 7 100 0 -1 0.000 1 6.1959 7712 8307 70 80 7712 8307 7782 8388
|
|
||||||
1 3 0 1 0 7 100 0 -1 0.000 1 0.0000 7014 7515 30 30 7014 7515 7043 7545
|
|
||||||
2 3 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 6
|
|
||||||
7968 8716 9318 7912 9318 6118 7968 6480 7968 8037 7968 8716
|
|
||||||
2 3 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 5
|
|
||||||
7963 6395 6933 6330 8424 6023 9323 6043 7963 6395
|
|
||||||
2 3 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 5
|
|
||||||
7968 6465 9318 6103 9323 6043 7963 6395 7968 6465
|
|
||||||
2 3 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 5
|
|
||||||
7947 7550 7862 7601 7852 6455 7937 6410 7947 7550
|
|
||||||
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
|
|
||||||
7847 8750 7917 8695 7917 7565
|
|
||||||
2 3 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 5
|
|
||||||
6908 6339 6913 7450 6958 7445 6953 6335 6908 6339
|
|
||||||
2 3 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 6
|
|
||||||
7014 6440 7149 6450 7144 6515 7014 6505 7014 6465 7014 6440
|
|
||||||
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 2
|
|
||||||
7857 6440 6958 6364
|
|
||||||
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 2
|
|
||||||
7827 6445 7827 7474
|
|
||||||
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
|
|
||||||
7842 7540 7847 7606 7862 7606
|
|
||||||
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 2
|
|
||||||
7832 7535 7857 7535
|
|
||||||
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 2
|
|
||||||
7968 8721 7917 8705
|
|
||||||
2 1 0 2 0 0 100 0 -1 0.000 0 0 -1 0 0 5
|
|
||||||
6953 7435 6958 8555 7836 8746 7827 7535 7822 7545
|
|
||||||
3 2 0 2 0 7 100 0 -1 0.000 0 0 0 5
|
|
||||||
6968 7370 7235 7424 7435 7450 7701 7474 7857 7479
|
|
||||||
0.000 -1.000 -1.000 -1.000 0.000
|
|
||||||
3 2 0 2 0 7 100 0 -1 0.000 0 0 0 5
|
|
||||||
6963 7419 7184 7470 7400 7505 7601 7525 7836 7535
|
|
||||||
0.000 -1.000 -1.000 -1.000 0.000
|
|
||||||
3 2 0 2 0 7 100 0 -1 0.000 0 0 0 8
|
|
||||||
8068 8665 8168 8665 8258 8650 8299 8625 8324 8605 8313 8570
|
|
||||||
8284 8555 8243 8555
|
|
||||||
0.000 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 0.000
|
|
||||||
3 2 0 2 0 7 100 0 -1 0.000 0 0 0 7
|
|
||||||
7987 8716 8088 8726 8193 8726 8269 8711 8319 8675 8329 8630
|
|
||||||
8324 8595
|
|
||||||
0.000 -1.000 -1.000 -1.000 -1.000 -1.000 0.000
|
|
||||||
3 2 0 2 0 7 100 0 -1 0.000 0 0 0 7
|
|
||||||
8971 8128 9062 8143 9127 8143 9192 8138 9263 8122 9283 8092
|
|
||||||
9278 8022
|
|
||||||
0.000 -1.000 -1.000 -1.000 -1.000 -1.000 0.000
|
|
||||||
3 2 0 2 0 7 100 0 -1 0.000 0 0 0 8
|
|
||||||
9017 8098 9117 8098 9207 8083 9248 8057 9273 8037 9263 8002
|
|
||||||
9233 7987 9192 7987
|
|
||||||
0.000 -1.000 -1.000 -1.000 -1.000 -1.000 -1.000 0.000
|
|
||||||
4 0 0 100 0 0 4 6.1959 4 58 215 7028 6776 Primergy\001
|
|
||||||
-6
|
|
||||||
6 2550 9525 3900 11775
|
|
||||||
2 3 0 1 0 7 100 0 20 0.000 0 0 7 0 0 11
|
|
||||||
2978 11111 2600 11111 3214 11725 3828 11111 3450 11111 3450 10213
|
|
||||||
3828 10213 3214 9599 2600 10213 2978 10213 2978 11111
|
|
||||||
-6
|
|
||||||
6 6375 9150 8038 13125
|
|
||||||
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|
|
||||||
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|
|
||||||
@ -1,69 +0,0 @@
|
|||||||
|
|
||||||
\section{In which X-ray energy range can I use the detector?}
|
|
||||||
What limits the energy range in which the detector can be used is defined both by the sensors characteristics and the readout electronics.
|
|
||||||
|
|
||||||
\subsection{Sensors}
|
|
||||||
Most of the SLS detectors make use of silicon sensors.
|
|
||||||
|
|
||||||
Since silicon is a relatively light for hard X-rays the only limitation at high energies is the acceptable absorption efficiency that can be achieved in the sensors thickness.\\
|
|
||||||
Figure~\ref{fig:effidet} shows the absorption efficiency as a function of the X-ray energy and detector thickness. Normally it is possible to use sensors up to 1~mm thick, while to achieve larger absorption thicknesses it is necessary tu assemble and control telescopic systems (possible up to a few mms).\\
|
|
||||||
To achieve larger absorption thicknesses, the sensors can be oriented in edge-on configuration (in particular strip sensors). However in this case one should take into consideration the dead entrance window due to the cutting distance from the strips, which is normally several hundreds micron, or even up to mms and reduces the absorption efficiency at lower energies.
|
|
||||||
|
|
||||||
\begin{figure}
|
|
||||||
\caption{Efficiency of a silicon sensor as a function of the sensors thickness and X-ray energy.}\label{fig:effidet}
|
|
||||||
\includegraphics[width=\textwidth]{images/effiSiHardXRays2}
|
|
||||||
\end{figure}
|
|
||||||
|
|
||||||
In standard face-on orientation, the backplane of the sensor acts as the entrance window. It presents a think n+ doped layer, which is unsensitive to radiation and causes a loss of efficiency at low energies.
|
|
||||||
Figure~\ref{fig:effiback} shows the absorption efficiency of the sensors for different backplane thicknesses at low energies.\\
|
|
||||||
The exact thickness of the backplane for standard SLS sensors is not exactly known but should be about 1-2~$\mu$m.
|
|
||||||
|
|
||||||
\begin{figure}
|
|
||||||
\caption{Efficiency of a silicon sensor as a function of the X-ray energy for different thicknesses of the backplane.}\label{fig:effiback}
|
|
||||||
\includegraphics[width=\textwidth]{images/effiThinkBackplanes}
|
|
||||||
\end{figure}
|
|
||||||
|
|
||||||
However for lower energies, the main limitation is normally given by the noise of the frontend electronics (if single photon resolution is required).\\
|
|
||||||
For higher energies it is also possible to use different sesnor materials as CdTe or Ge, although up to now they cannot provide the same signal quality as silicon.
|
|
||||||
|
|
||||||
|
|
||||||
\subsection{Frontend electronics}
|
|
||||||
|
|
||||||
The limitations on the energy range arising from the readout electronics come from the noise and from saturation.
|
|
||||||
The electronic noise limits the minimum detectable energy for single photons, while saturation limits the maximum detectable signal either for single photons or in total.
|
|
||||||
\begin{itemize}
|
|
||||||
\item In \textbf{single photon counting detectors}, the minimum threshold cannot be set lower than 3-5 times the electronic noise.
|
|
||||||
If the threshold is set at approximately half of the X-ray energy (see specific documentation about single photon counting detectors), the minimu detectable energy will be about 6-10 times the noise.\\
|
|
||||||
In order to reduce the noise of the frontend electronics different settings can be chosen, but this puts a limit on the maximum incoming flux that can be detected without incurring in pileup (see specific documentation about single photon counting detectors). Figure~\ref{fig:mythensett} shows an example of the settings used for the MYTHEN detector for different energy ranges and fluxes.\\
|
|
||||||
For state of the art single photon counting detectors, the minimum thrshold can be about 2-3~keV (details depend on the detector and can be further reduced using special settings).
|
|
||||||
|
|
||||||
Concerning saturation, this imposes a maximum value for the comparator threshold. Normally photons of higher energies can still be detected, but without resolution concerning the threshold energy and eventually losing spatial resolution.
|
|
||||||
By changing the settings it is possible to increase the maximum threshold value (normally also noise increases in this case).
|
|
||||||
|
|
||||||
\item For \textbf{charge integrating detectors} the electronics noise puts a limit on the minimum detectable signal. Therefore if single photon resolution is required, the minimum detectable energy is defined as for single photon counting detectors at about 6-10 times the electronic noise. In case no single photon resolution is required, the electronic noise will put a limit on the sensitivity of the detector i.e. the total accumulated signal needs to be larger than 6-10 times the noise in order to be detected (also about 2-3~keV depending on the detector). It is important to point out that the acquisition time of charge integrating detectors is limited by the leakage current of the sesnors and the noise quadratically sums out. Therefore the signal for low energy photons should be strong enough to be acquired during single frames.
|
|
||||||
|
|
||||||
Concerning saturation, this sets a limit on the total number of photons acquired during the acquistion slot and is normally much larger than the energy released by single X-rays. Dynamic gain switching can strongly increase the dynamic range of the detector up to 10E+4 12~keV photons.
|
|
||||||
|
|
||||||
|
|
||||||
\end{itemize}
|
|
||||||
|
|
||||||
|
|
||||||
\begin{figure}
|
|
||||||
\caption{Settings to be chosen for the MYTHEN detector as a function of the X-ray energy and radiation intensity.}\label{fig:mythensett}
|
|
||||||
\includegraphics[width=\textwidth]{images/settings}
|
|
||||||
\end{figure}
|
|
||||||
|
|
||||||
%\section{What is the electronic noise?}\label{sec:noise}
|
|
||||||
|
|
||||||
|
|
||||||
\section{What limits the maximum frame rate?}
|
|
||||||
|
|
||||||
In order to acquired the data, they should be:
|
|
||||||
\begin{itemize}
|
|
||||||
\item Transferred from readout electronics to readout board memory. This readou time is very dependent on the detector and on the dynamic range chose (for single photon counting detectors if configurable) and can range from hundreds or tens to few us. \\
|
|
||||||
In case the board has some memory that can be accessed by the hardware, this is the only limitation on the maximum frame rate as long as the memory is not filled (burst mode). Frame rates as high as a few tens of kHz can be achieved for photon countign detectors (EIGER) or up to 1~MHz for charge integrating (GOTTHARD).
|
|
||||||
|
|
||||||
\item Transferred from readout board to client PC or file server. In this case the main bottleneck is normally given by the data transfer rate on the network and on the performances of the receiver PC. This limits the frame rate in continous mode. However also the data writing capabilities and amount of data which are being acquired should be taken into consideration when setting up very fast acquisitions.
|
|
||||||
|
|
||||||
\end{itemize}
|
|
||||||
|
|
||||||
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end
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save
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newpath 0 330 moveto 0 0 lineto 951 0 lineto 951 330 lineto closepath clip newpath
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$F2psBegin
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7.500 slw
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[60] 0 sd
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5100 5550 l gs col0 s gr [] 0 sd
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n 1650 5550 m 3150 5550 l 3150 4725 l 3300 4725 l
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3300 5550 l gs col0 s gr
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3825 4950 m
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n 3300 5550 m
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4200 5550 l gs col0 s gr
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[45 22 15 22] 0 sd
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n 2100 1200 m
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2100 6375 l gs col0 s gr [] 0 sd
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% Polyline
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gs clippath
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2565 6180 m 2565 6120 l 2413 6120 l 2533 6150 l 2413 6180 l cp
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2085 6120 m 2085 6180 l 2237 6180 l 2117 6150 l 2237 6120 l cp
|
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eoclip
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n 2100 6150 m
|
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||||||
2550 6150 l gs col0 s gr gr
|
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% arrowhead
|
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||||||
n 2237 6120 m 2117 6150 l 2237 6180 l col0 s
|
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% arrowhead
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||||||
n 2413 6180 m 2533 6150 l 2413 6120 l col0 s
|
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||||||
% Polyline
|
|
||||||
[45 22 15 22] 0 sd
|
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||||||
n 2550 1200 m
|
|
||||||
2550 6375 l gs col0 s gr [] 0 sd
|
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/Times-Roman ff 270.00 scf sf
|
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||||||
1350 6600 m
|
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||||||
gs 1 -1 sc (Delay after trigger) col0 sh gr
|
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||||||
% Polyline
|
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||||||
[60] 0 sd
|
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||||||
n 6303 5550 m 6303 4725 l 8550 4725 l
|
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||||||
8550 5550 l gs col0 s gr [] 0 sd
|
|
||||||
% Polyline
|
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||||||
n 4575 5550 m 6303 5550 l 6303 4725 l 6476 4725 l
|
|
||||||
6476 5550 l gs col0 s gr
|
|
||||||
/Times-Roman ff 270.00 scf sf
|
|
||||||
7081 4950 m
|
|
||||||
gs 1 -1 sc (Readout) col0 sh gr
|
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||||||
% Polyline
|
|
||||||
n 6476 5550 m
|
|
||||||
7513 5550 l gs col0 s gr
|
|
||||||
% Polyline
|
|
||||||
gs clippath
|
|
||||||
11040 6180 m 11040 6120 l 10888 6120 l 11008 6150 l 10888 6180 l cp
|
|
||||||
10410 6120 m 10410 6180 l 10562 6180 l 10442 6150 l 10562 6120 l cp
|
|
||||||
eoclip
|
|
||||||
n 10425 6150 m
|
|
||||||
11025 6150 l gs col0 s gr gr
|
|
||||||
|
|
||||||
% arrowhead
|
|
||||||
n 10562 6120 m 10442 6150 l 10562 6180 l col0 s
|
|
||||||
% arrowhead
|
|
||||||
n 10888 6180 m 11008 6150 l 10888 6120 l col0 s
|
|
||||||
% Polyline
|
|
||||||
[45 22 15 22] 0 sd
|
|
||||||
n 10425 1200 m
|
|
||||||
10425 6375 l gs col0 s gr [] 0 sd
|
|
||||||
% Polyline
|
|
||||||
[45 22 15 22] 0 sd
|
|
||||||
n 11025 1200 m
|
|
||||||
11025 6375 l gs col0 s gr [] 0 sd
|
|
||||||
/Times-Roman ff 270.00 scf sf
|
|
||||||
9825 6600 m
|
|
||||||
gs 1 -1 sc (Acquisition time) col0 sh gr
|
|
||||||
% Polyline
|
|
||||||
[45 22 15 22] 0 sd
|
|
||||||
n 9975 1200 m
|
|
||||||
9975 6375 l gs col0 s gr [] 0 sd
|
|
||||||
% Polyline
|
|
||||||
[45 22 15 22] 0 sd
|
|
||||||
n 10425 1200 m
|
|
||||||
10425 6375 l gs col0 s gr [] 0 sd
|
|
||||||
% Polyline
|
|
||||||
[60] 0 sd
|
|
||||||
n 11041 5550 m 11041 4725 l 13500 4725 l
|
|
||||||
13500 5550 l gs col0 s gr [] 0 sd
|
|
||||||
% Polyline
|
|
||||||
n 9150 5550 m 11041 5550 l 11041 4725 l 11230 4725 l
|
|
||||||
11230 5550 l gs col0 s gr
|
|
||||||
/Times-Roman ff 300.00 scf sf
|
|
||||||
11892 4950 m
|
|
||||||
gs 1 -1 sc (Readout) col0 sh gr
|
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||||||
% Polyline
|
|
||||||
n 11230 5550 m
|
|
||||||
12365 5550 l gs col0 s gr
|
|
||||||
% Polyline
|
|
||||||
n 1200 2700 m 2100 2700 l 2100 1875 l 2250 1875 l 2250 2700 l
|
|
||||||
5100 2700 l gs col0 s gr
|
|
||||||
% Polyline
|
|
||||||
n 7350 2700 m 8250 2700 l 8250 1875 l 8400 1875 l 8400 2700 l
|
|
||||||
9750 2700 l gs col0 s gr
|
|
||||||
% Polyline
|
|
||||||
n 5700 5550 m
|
|
||||||
6225 5550 l gs col0 s gr
|
|
||||||
% Polyline
|
|
||||||
n 8625 5550 m
|
|
||||||
9300 5550 l gs col0 s gr
|
|
||||||
% Polyline
|
|
||||||
n 1200 5550 m
|
|
||||||
3150 5550 l gs col0 s gr
|
|
||||||
% Polyline
|
|
||||||
n 1200 4125 m 2550 4125 l 2550 3300 l 3150 3300 l 3150 4125 l
|
|
||||||
4200 4125 l gs col0 s gr
|
|
||||||
% Polyline
|
|
||||||
n 4050 4125 m 5700 4125 l 5700 3300 l 6300 3300 l 6300 4125 l
|
|
||||||
7350 4125 l gs col0 s gr
|
|
||||||
% Polyline
|
|
||||||
[45 22 15 22] 0 sd
|
|
||||||
n 5250 1200 m
|
|
||||||
5250 6375 l gs col0 s gr [] 0 sd
|
|
||||||
% Polyline
|
|
||||||
[45 22 15 22] 0 sd
|
|
||||||
n 5700 1200 m
|
|
||||||
5700 6375 l gs col0 s gr [] 0 sd
|
|
||||||
% Polyline
|
|
||||||
n 4350 2700 m 5250 2700 l 5250 1875 l 5400 1875 l 5400 2700 l
|
|
||||||
8250 2700 l gs col0 s gr
|
|
||||||
% Polyline
|
|
||||||
n 9075 2700 m 9975 2700 l 9975 1875 l 10125 1875 l 10125 2700 l
|
|
||||||
13725 2700 l gs col0 s gr
|
|
||||||
% Polyline
|
|
||||||
n 7275 4125 m 10425 4125 l 10425 3300 l 11025 3300 l 11025 4125 l
|
|
||||||
15075 4125 l gs col0 s gr
|
|
||||||
% Polyline
|
|
||||||
n 4125 5550 m
|
|
||||||
4950 5550 l gs col0 s gr
|
|
||||||
% Polyline
|
|
||||||
n 7350 5550 m
|
|
||||||
8850 5550 l gs col0 s gr
|
|
||||||
% Polyline
|
|
||||||
n 12225 5550 m
|
|
||||||
15075 5550 l gs col0 s gr
|
|
||||||
% Polyline
|
|
||||||
n 12825 2700 m 13725 2700 l 13725 1875 l 13875 1875 l 13875 2700 l
|
|
||||||
15075 2700 l gs col0 s gr
|
|
||||||
/Times-Roman ff 300.00 scf sf
|
|
||||||
-750 4125 m
|
|
||||||
gs 1 -1 sc (Counter gate) col0 sh gr
|
|
||||||
/Times-Roman ff 300.00 scf sf
|
|
||||||
-750 2700 m
|
|
||||||
gs 1 -1 sc (External Trigger) col0 sh gr
|
|
||||||
/Times-Roman ff 300.00 scf sf
|
|
||||||
-750 5550 m
|
|
||||||
gs 1 -1 sc (Start readout) col0 sh gr
|
|
||||||
$F2psEnd
|
|
||||||
rs
|
|
||||||
@ -1,105 +0,0 @@
|
|||||||
#FIG 3.2
|
|
||||||
Landscape
|
|
||||||
Center
|
|
||||||
Inches
|
|
||||||
Letter
|
|
||||||
100.00
|
|
||||||
Single
|
|
||||||
-2
|
|
||||||
1200 2
|
|
||||||
6 1650 4725 5100 5550
|
|
||||||
6 1650 4725 5100 5550
|
|
||||||
2 1 1 1 0 7 50 0 -1 4.000 0 0 -1 0 0 4
|
|
||||||
3150 5550 3150 4725 5100 4725 5100 5550
|
|
||||||
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 5
|
|
||||||
1650 5550 3150 5550 3150 4725 3300 4725 3300 5550
|
|
||||||
4 0 0 50 0 0 16 0.0000 4 165 810 3825 4950 Readout\001
|
|
||||||
-6
|
|
||||||
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 2
|
|
||||||
3300 5550 4200 5550
|
|
||||||
-6
|
|
||||||
6 1350 1200 3375 6675
|
|
||||||
2 1 3 1 0 7 50 0 -1 3.000 0 0 -1 0 0 2
|
|
||||||
2100 1200 2100 6375
|
|
||||||
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 1 1 2
|
|
||||||
0 0 1.00 60.00 120.00
|
|
||||||
0 0 1.00 60.00 120.00
|
|
||||||
2100 6150 2550 6150
|
|
||||||
2 1 3 1 0 7 50 0 -1 3.000 0 0 -1 0 0 2
|
|
||||||
2550 1200 2550 6375
|
|
||||||
4 0 0 50 0 0 18 0.0000 4 255 2010 1350 6600 Delay after trigger\001
|
|
||||||
-6
|
|
||||||
6 4575 4725 8550 5550
|
|
||||||
6 4575 4725 8550 5550
|
|
||||||
2 1 1 1 0 7 50 0 -1 4.000 0 0 -1 0 0 4
|
|
||||||
6303 5550 6303 4725 8550 4725 8550 5550
|
|
||||||
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 5
|
|
||||||
4575 5550 6303 5550 6303 4725 6476 4725 6476 5550
|
|
||||||
4 0 0 50 0 0 18 0.0000 4 195 915 7081 4950 Readout\001
|
|
||||||
-6
|
|
||||||
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 2
|
|
||||||
6476 5550 7513 5550
|
|
||||||
-6
|
|
||||||
6 9825 1200 11775 6675
|
|
||||||
6 9825 1200 11775 6675
|
|
||||||
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 1 1 2
|
|
||||||
0 0 1.00 60.00 120.00
|
|
||||||
0 0 1.00 60.00 120.00
|
|
||||||
10425 6150 11025 6150
|
|
||||||
2 1 3 1 0 7 50 0 -1 3.000 0 0 -1 0 0 2
|
|
||||||
10425 1200 10425 6375
|
|
||||||
2 1 3 1 0 7 50 0 -1 3.000 0 0 -1 0 0 2
|
|
||||||
11025 1200 11025 6375
|
|
||||||
4 0 0 50 0 0 18 0.0000 4 255 1890 9825 6600 Acquisition time\001
|
|
||||||
-6
|
|
||||||
2 1 3 1 0 7 50 0 -1 3.000 0 0 -1 0 0 2
|
|
||||||
9975 1200 9975 6375
|
|
||||||
2 1 3 1 0 7 50 0 -1 3.000 0 0 -1 0 0 2
|
|
||||||
10425 1200 10425 6375
|
|
||||||
-6
|
|
||||||
6 9150 4725 13500 5550
|
|
||||||
6 9150 4725 13500 5550
|
|
||||||
2 1 1 1 0 7 50 0 -1 4.000 0 0 -1 0 0 4
|
|
||||||
11041 5550 11041 4725 13500 4725 13500 5550
|
|
||||||
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 5
|
|
||||||
9150 5550 11041 5550 11041 4725 11230 4725 11230 5550
|
|
||||||
4 0 0 50 0 0 20 0.0000 4 195 960 11892 4950 Readout\001
|
|
||||||
-6
|
|
||||||
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 2
|
|
||||||
11230 5550 12365 5550
|
|
||||||
-6
|
|
||||||
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 6
|
|
||||||
1200 2700 2100 2700 2100 1875 2250 1875 2250 2700 5100 2700
|
|
||||||
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 6
|
|
||||||
7350 2700 8250 2700 8250 1875 8400 1875 8400 2700 9750 2700
|
|
||||||
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 2
|
|
||||||
5700 5550 6225 5550
|
|
||||||
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 2
|
|
||||||
8625 5550 9300 5550
|
|
||||||
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 2
|
|
||||||
1200 5550 3150 5550
|
|
||||||
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 6
|
|
||||||
1200 4125 2550 4125 2550 3300 3150 3300 3150 4125 4200 4125
|
|
||||||
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 6
|
|
||||||
4050 4125 5700 4125 5700 3300 6300 3300 6300 4125 7350 4125
|
|
||||||
2 1 3 1 0 7 50 0 -1 3.000 0 0 -1 0 0 2
|
|
||||||
5250 1200 5250 6375
|
|
||||||
2 1 3 1 0 7 50 0 -1 3.000 0 0 -1 0 0 2
|
|
||||||
5700 1200 5700 6375
|
|
||||||
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 6
|
|
||||||
4350 2700 5250 2700 5250 1875 5400 1875 5400 2700 8250 2700
|
|
||||||
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 6
|
|
||||||
9075 2700 9975 2700 9975 1875 10125 1875 10125 2700 13725 2700
|
|
||||||
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 6
|
|
||||||
7275 4125 10425 4125 10425 3300 11025 3300 11025 4125 15075 4125
|
|
||||||
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 2
|
|
||||||
4125 5550 4950 5550
|
|
||||||
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 2
|
|
||||||
7350 5550 8850 5550
|
|
||||||
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 2
|
|
||||||
12225 5550 15075 5550
|
|
||||||
2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 6
|
|
||||||
12825 2700 13725 2700 13725 1875 13875 1875 13875 2700 15075 2700
|
|
||||||
4 0 0 50 0 0 20 0.0000 4 255 1500 -750 4125 Counter gate\001
|
|
||||||
4 0 0 50 0 0 20 0.0000 4 255 1920 -750 2700 External Trigger\001
|
|
||||||
4 0 0 50 0 0 20 0.0000 4 195 1530 -750 5550 Start readout\001
|
|
||||||
@ -1,674 +0,0 @@
|
|||||||
%!PS-Adobe-2.0 EPSF-2.0
|
|
||||||
%%BoundingBox: 0 0 567 548
|
|
||||||
%%Title: /afs/psi.ch/project/mythen/root_macros20100305/effiSiHardXRays2.eps: c1
|
|
||||||
%%Creator: ROOT Version 5.20/00
|
|
||||||
%%CreationDate: Tue Jan 29 15:39:22 2013
|
|
||||||
%%EndComments
|
|
||||||
%%BeginProlog
|
|
||||||
80 dict begin
|
|
||||||
/s {stroke} def /l {lineto} def /m {moveto} def /t {translate} def
|
|
||||||
/sw {stringwidth} def /r {rotate} def /rl {roll} def /R {repeat} def
|
|
||||||
/d {rlineto} def /rm {rmoveto} def /gr {grestore} def /f {eofill} def
|
|
||||||
/c {setrgbcolor} def /black {0 setgray} def /sd {setdash} def
|
|
||||||
/cl {closepath} def /sf {scalefont setfont} def /lw {setlinewidth} def
|
|
||||||
/box {m dup 0 exch d exch 0 d 0 exch neg d cl} def
|
|
||||||
/NC{systemdict begin initclip end}def/C{NC box clip newpath}def
|
|
||||||
/bl {box s} def /bf {box f} def /Y { 0 exch d} def /X { 0 d} def
|
|
||||||
/mp {newpath /y exch def /x exch def} def
|
|
||||||
/side {[w .77 mul w .23 mul] .385 w mul sd w 0 l currentpoint t -144 r} def
|
|
||||||
/mr {mp x y w2 0 360 arc} def /m24 {mr s} def /m20 {mr f} def
|
|
||||||
/mb {mp x y w2 add m w2 neg 0 d 0 w neg d w 0 d 0 w d cl} def
|
|
||||||
/mt {mp x y w2 add m w2 neg w neg d w 0 d cl} def
|
|
||||||
/m21 {mb f} def /m25 {mb s} def /m22 {mt f} def /m26{mt s} def
|
|
||||||
/m23 {mp x y w2 sub m w2 w d w neg 0 d cl f} def
|
|
||||||
/m27 {mp x y w2 add m w3 neg w2 neg d w3 w2 neg d w3 w2 d cl s} def
|
|
||||||
/m28 {mp x w2 sub y w2 sub w3 add m w3 0 d 0 w3 neg d w3 0 d 0 w3 d w3 0 d 0 w3 d w3 neg 0 d 0 w3 d w3 neg 0 d
|
|
||||||
0 w3 neg d w3 neg 0 d cl s } def
|
|
||||||
/m29 {mp gsave x w2 sub y w2 add w3 sub m currentpoint t
|
|
||||||
4 {side} repeat cl fill gr} def
|
|
||||||
/m30 {mp gsave x w2 sub y w2 add w3 sub m currentpoint t
|
|
||||||
4 {side} repeat cl s gr} def
|
|
||||||
/m31 {mp x y w2 sub m 0 w d x w2 sub y m w 0 d x w2 sub y w2 add m w w neg d x w2 sub y w2
|
|
||||||
sub m w w d s} def
|
|
||||||
/m2 {mp x y w2 sub m 0 w d x w2 sub y m w 0 d s} def
|
|
||||||
/m5 {mp x w2 sub y w2 sub m w w d x w2 sub y w2 add m w w neg d s} def
|
|
||||||
/reEncode {exch findfont dup length dict begin {1 index /FID eq {pop pop} {def} ifelse } forall /Encoding exch def currentdict end dup /FontName get exch definefont pop } def [/Times-Bold /Times-Italic /Times-BoldItalic /Helvetica
|
|
||||||
/Helvetica-Oblique /Helvetica-Bold /Helvetica-BoldOblique /Courier /Courier-Oblique /Courier-Bold /Courier-BoldOblique /Times-Roman /AvantGarde-Book /AvantGarde-BookOblique /AvantGarde-Demi /AvantGarde-DemiOblique /Bookman-Demi
|
|
||||||
/Bookman-DemiItalic /Bookman-Light /Bookman-LightItalic /Helvetica-Narrow /Helvetica-Narrow-Bold /Helvetica-Narrow-BoldOblique /Helvetica-Narrow-Oblique /NewCenturySchlbk-Roman /NewCenturySchlbk-Bold
|
|
||||||
/NewCenturySchlbk-BoldItalic /NewCenturySchlbk-Italic /Palatino-Bold /Palatino-BoldItalic /Palatino-Italic /Palatino-Roman ] {ISOLatin1Encoding reEncode } forall
|
|
||||||
/oshow {gsave [] 0 sd true charpath stroke gr} def
|
|
||||||
/stwn { /fs exch def /fn exch def /text exch def fn findfont fs sf
|
|
||||||
text sw pop xs add /xs exch def} def
|
|
||||||
/stwb { /fs exch def /fn exch def /nbas exch def /textf exch deftextf length /tlen exch def nbas tlen gt {/nbas tlendef} iffn findfont fs sf textf dup length nbas sub nbas getinterval sw
|
|
||||||
pop neg xs add /xs exch def} def
|
|
||||||
%%EndProlog
|
|
||||||
%%BeginSetup
|
|
||||||
%%EndSetup
|
|
||||||
newpath gsave .25 .25 scale gsave 0 0 t black[ ] 0 sd 6 lw 1 1 1 c 2268 2191 0 0 bf black 3 lw 1 1 1 c 1951 1709 249 219 bf black 1951 1709 249 219 bl 1 1 1 c 1951 1709 249 219 bf black 1951 1709 249 219 bl 1 1 1 c 0.967333 0.186667 0 c 20 86
|
|
||||||
249 219 bf 0.673333 0.0666667 0 c 19 86 269 219 bf 0.608 0.04 0 c 20 86 288 219 bf 0.575333 0.0266667 0 c 19 86 308 219 bf 0.542667 0.0133333 0 c 20 86 327 219 bf 19 86 347 219 bf 20 86 366 219 bf 19 86 386 219 bf 20 86 405 219 bf 19 86 425 219 bf
|
|
||||||
20 86 444 219 bf 19 86 464 219 bf 20 86 483 219 bf 19 86 503 219 bf 20 86 522 219 bf 19 86 542 219 bf 20 86 561 219 bf 19 86 581 219 bf 20 86 600 219 bf 19 86 620 219 bf 20 86 639 219 bf 20 86 659 219 bf 19 86 679 219 bf 20 86 698 219 bf 19 86 718
|
|
||||||
219 bf 20 86 737 219 bf 19 86 757 219 bf 20 86 776 219 bf 19 86 796 219 bf 20 86 815 219 bf 19 86 835 219 bf 20 86 854 219 bf 19 86 874 219 bf 20 86 893 219 bf 19 86 913 219 bf 20 86 932 219 bf 19 86 952 219 bf 20 86 971 219 bf 19 86 991 219 bf 20
|
|
||||||
86 1010 219 bf 19 86 1030 219 bf 20 86 1049 219 bf 19 86 1069 219 bf 20 86 1088 219 bf 19 86 1108 219 bf 20 86 1127 219 bf 19 86 1147 219 bf 20 86 1166 219 bf 19 86 1186 219 bf 20 86 1205 219 bf 19 86 1225 219 bf 20 86 1244 219 bf 19 86 1264 219 bf
|
|
||||||
20 86 1283 219 bf 19 86 1303 219 bf 20 86 1322 219 bf 19 86 1342 219 bf 20 86 1361 219 bf 19 86 1381 219 bf 20 86 1400 219 bf 19 86 1420 219 bf 20 86 1439 219 bf 19 86 1459 219 bf 20 86 1478 219 bf 19 86 1498 219 bf 20 86 1517 219 bf 19 86 1537 219
|
|
||||||
bf 20 86 1556 219 bf 19 86 1576 219 bf 20 86 1595 219 bf 19 86 1615 219 bf 20 86 1634 219 bf 19 86 1654 219 bf 20 86 1673 219 bf 19 86 1693 219 bf 20 86 1712 219 bf 19 86 1732 219 bf 20 86 1751 219 bf 19 86 1771 219 bf 20 86 1790 219 bf 19 86 1810
|
|
||||||
219 bf 20 86 1829 219 bf 19 86 1849 219 bf 20 86 1868 219 bf 19 86 1888 219 bf 20 86 1907 219 bf 19 86 1927 219 bf 20 86 1946 219 bf 19 86 1966 219 bf 20 86 1985 219 bf 19 86 2005 219 bf 20 86 2024 219 bf 19 86 2044 219 bf 20 86 2063 219 bf 19 86
|
|
||||||
2083 219 bf 20 86 2102 219 bf 19 86 2122 219 bf 20 86 2141 219 bf 19 86 2161 219 bf 20 86 2180 219 bf 0.967333 0.186667 0 c 20 85 249 305 bf 0.706 0.08 0 c 19 85 269 305 bf 0.608 0.04 0 c 20 85 288 305 bf 0.575333 0.0266667 0 c 19 85 308 305 bf
|
|
||||||
0.542667 0.0133333 0 c 20 85 327 305 bf 19 85 347 305 bf 20 85 366 305 bf 19 85 386 305 bf 20 85 405 305 bf 19 85 425 305 bf 20 85 444 305 bf 19 85 464 305 bf 20 85 483 305 bf 19 85 503 305 bf 20 85 522 305 bf 19 85 542 305 bf 20 85 561 305 bf 19
|
|
||||||
85 581 305 bf 20 85 600 305 bf 19 85 620 305 bf 20 85 639 305 bf 20 85 659 305 bf 19 85 679 305 bf 20 85 698 305 bf 19 85 718 305 bf 20 85 737 305 bf 19 85 757 305 bf 20 85 776 305 bf 19 85 796 305 bf 20 85 815 305 bf 19 85 835 305 bf 20 85 854 305
|
|
||||||
bf 19 85 874 305 bf 20 85 893 305 bf 19 85 913 305 bf 20 85 932 305 bf 19 85 952 305 bf 20 85 971 305 bf 19 85 991 305 bf 20 85 1010 305 bf 19 85 1030 305 bf 20 85 1049 305 bf 19 85 1069 305 bf 20 85 1088 305 bf 19 85 1108 305 bf 20 85 1127 305 bf
|
|
||||||
19 85 1147 305 bf 20 85 1166 305 bf 19 85 1186 305 bf 20 85 1205 305 bf 19 85 1225 305 bf 20 85 1244 305 bf 19 85 1264 305 bf 20 85 1283 305 bf 19 85 1303 305 bf 20 85 1322 305 bf 19 85 1342 305 bf 20 85 1361 305 bf 19 85 1381 305 bf 20 85 1400 305
|
|
||||||
bf 19 85 1420 305 bf 20 85 1439 305 bf 19 85 1459 305 bf 20 85 1478 305 bf 19 85 1498 305 bf 20 85 1517 305 bf 19 85 1537 305 bf 20 85 1556 305 bf 19 85 1576 305 bf 20 85 1595 305 bf 19 85 1615 305 bf 20 85 1634 305 bf 19 85 1654 305 bf 20 85 1673
|
|
||||||
305 bf 19 85 1693 305 bf 20 85 1712 305 bf 19 85 1732 305 bf 20 85 1751 305 bf 19 85 1771 305 bf 20 85 1790 305 bf 19 85 1810 305 bf 20 85 1829 305 bf 19 85 1849 305 bf 20 85 1868 305 bf 19 85 1888 305 bf 20 85 1907 305 bf 19 85 1927 305 bf 20 85
|
|
||||||
1946 305 bf 19 85 1966 305 bf 20 85 1985 305 bf 19 85 2005 305 bf 20 85 2024 305 bf 19 85 2044 305 bf 20 85 2063 305 bf 19 85 2083 305 bf 20 85 2102 305 bf 19 85 2122 305 bf 20 85 2141 305 bf 19 85 2161 305 bf 20 85 2180 305 bf 0.956667 0.466667
|
|
||||||
0.04 c 20 85 249 390 bf 0.902 0.16 0 c 19 85 269 390 bf 0.771333 0.106667 0 c 20 85 288 390 bf 0.706 0.08 0 c 19 85 308 390 bf 0.673333 0.0666667 0 c 20 85 327 390 bf 0.640667 0.0533333 0 c 19 85 347 390 bf 0.608 0.04 0 c 20 85 366 390 bf 0.575333
|
|
||||||
0.0266667 0 c 19 85 386 390 bf 20 85 405 390 bf 19 85 425 390 bf 0.542667 0.0133333 0 c 20 85 444 390 bf 19 85 464 390 bf 20 85 483 390 bf 19 85 503 390 bf 20 85 522 390 bf 19 85 542 390 bf 20 85 561 390 bf 19 85 581 390 bf 20 85 600 390 bf 19 85
|
|
||||||
620 390 bf 20 85 639 390 bf 20 85 659 390 bf 19 85 679 390 bf 20 85 698 390 bf 19 85 718 390 bf 20 85 737 390 bf 19 85 757 390 bf 20 85 776 390 bf 19 85 796 390 bf 20 85 815 390 bf 19 85 835 390 bf 20 85 854 390 bf 19 85 874 390 bf 20 85 893 390 bf
|
|
||||||
19 85 913 390 bf 20 85 932 390 bf 19 85 952 390 bf 20 85 971 390 bf 19 85 991 390 bf 20 85 1010 390 bf 19 85 1030 390 bf 20 85 1049 390 bf 19 85 1069 390 bf 20 85 1088 390 bf 19 85 1108 390 bf 20 85 1127 390 bf 19 85 1147 390 bf 20 85 1166 390 bf
|
|
||||||
19 85 1186 390 bf 20 85 1205 390 bf 19 85 1225 390 bf 20 85 1244 390 bf 19 85 1264 390 bf 20 85 1283 390 bf 19 85 1303 390 bf 20 85 1322 390 bf 19 85 1342 390 bf 20 85 1361 390 bf 19 85 1381 390 bf 20 85 1400 390 bf 19 85 1420 390 bf 20 85 1439 390
|
|
||||||
bf 19 85 1459 390 bf 20 85 1478 390 bf 19 85 1498 390 bf 20 85 1517 390 bf 19 85 1537 390 bf 20 85 1556 390 bf 19 85 1576 390 bf 20 85 1595 390 bf 19 85 1615 390 bf 20 85 1634 390 bf 19 85 1654 390 bf 20 85 1673 390 bf 19 85 1693 390 bf 20 85 1712
|
|
||||||
390 bf 19 85 1732 390 bf 20 85 1751 390 bf 19 85 1771 390 bf 20 85 1790 390 bf 19 85 1810 390 bf 20 85 1829 390 bf 19 85 1849 390 bf 20 85 1868 390 bf 19 85 1888 390 bf 20 85 1907 390 bf 19 85 1927 390 bf 20 85 1946 390 bf 19 85 1966 390 bf 20 85
|
|
||||||
1985 390 bf 19 85 2005 390 bf 20 85 2024 390 bf 19 85 2044 390 bf 20 85 2063 390 bf 19 85 2083 390 bf 20 85 2102 390 bf 19 85 2122 390 bf 20 85 2141 390 bf 19 85 2161 390 bf 20 85 2180 390 bf 0.944286 0.542857 0.0514286 c 20 86 249 475 bf 0.967333
|
|
||||||
0.186667 0 c 19 86 269 475 bf 0.836667 0.133333 0 c 20 86 288 475 bf 0.771333 0.106667 0 c 19 86 308 475 bf 0.706 0.08 0 c 20 86 327 475 bf 0.673333 0.0666667 0 c 19 86 347 475 bf 0.640667 0.0533333 0 c 20 86 366 475 bf 0.608 0.04 0 c 19 86 386 475
|
|
||||||
bf 20 86 405 475 bf 0.575333 0.0266667 0 c 19 86 425 475 bf 20 86 444 475 bf 19 86 464 475 bf 20 86 483 475 bf 0.542667 0.0133333 0 c 19 86 503 475 bf 20 86 522 475 bf 19 86 542 475 bf 20 86 561 475 bf 19 86 581 475 bf 20 86 600 475 bf 19 86 620
|
|
||||||
475 bf 20 86 639 475 bf 20 86 659 475 bf 19 86 679 475 bf 20 86 698 475 bf 19 86 718 475 bf 20 86 737 475 bf 19 86 757 475 bf 20 86 776 475 bf 19 86 796 475 bf 20 86 815 475 bf 19 86 835 475 bf 20 86 854 475 bf 19 86 874 475 bf 20 86 893 475 bf 19
|
|
||||||
86 913 475 bf 20 86 932 475 bf 19 86 952 475 bf 20 86 971 475 bf 19 86 991 475 bf 20 86 1010 475 bf 19 86 1030 475 bf 20 86 1049 475 bf 19 86 1069 475 bf 20 86 1088 475 bf 19 86 1108 475 bf 20 86 1127 475 bf 19 86 1147 475 bf 20 86 1166 475 bf 19
|
|
||||||
86 1186 475 bf 20 86 1205 475 bf 19 86 1225 475 bf 20 86 1244 475 bf 19 86 1264 475 bf 20 86 1283 475 bf 19 86 1303 475 bf 20 86 1322 475 bf 19 86 1342 475 bf 20 86 1361 475 bf 19 86 1381 475 bf 20 86 1400 475 bf 19 86 1420 475 bf 20 86 1439 475 bf
|
|
||||||
19 86 1459 475 bf 20 86 1478 475 bf 19 86 1498 475 bf 20 86 1517 475 bf 19 86 1537 475 bf 20 86 1556 475 bf 19 86 1576 475 bf 20 86 1595 475 bf 19 86 1615 475 bf 20 86 1634 475 bf 19 86 1654 475 bf 20 86 1673 475 bf 19 86 1693 475 bf 20 86 1712 475
|
|
||||||
bf 19 86 1732 475 bf 20 86 1751 475 bf 19 86 1771 475 bf 20 86 1790 475 bf 19 86 1810 475 bf 20 86 1829 475 bf 19 86 1849 475 bf 20 86 1868 475 bf 19 86 1888 475 bf 20 86 1907 475 bf 19 86 1927 475 bf 20 86 1946 475 bf 19 86 1966 475 bf 20 86 1985
|
|
||||||
475 bf 19 86 2005 475 bf 20 86 2024 475 bf 19 86 2044 475 bf 20 86 2063 475 bf 19 86 2083 475 bf 20 86 2102 475 bf 19 86 2122 475 bf 20 86 2141 475 bf 19 86 2161 475 bf 20 86 2180 475 bf 0.888571 0.885714 0.102857 c 20 85 249 561 bf 0.956667
|
|
||||||
0.466667 0.04 c 19 85 269 561 bf 0.981429 0.314286 0.0171429 c 20 85 288 561 bf 1 0.2 0 c 19 85 308 561 bf 0.934667 0.173333 0 c 20 85 327 561 bf 0.869333 0.146667 0 c 19 85 347 561 bf 0.836667 0.133333 0 c 20 85 366 561 bf 0.804 0.12 0 c 19 85 386
|
|
||||||
561 bf 0.771333 0.106667 0 c 20 85 405 561 bf 0.738667 0.0933333 0 c 19 85 425 561 bf 0.706 0.08 0 c 20 85 444 561 bf 19 85 464 561 bf 0.673333 0.0666667 0 c 20 85 483 561 bf 19 85 503 561 bf 0.640667 0.0533333 0 c 20 85 522 561 bf 19 85 542 561 bf
|
|
||||||
20 85 561 561 bf 0.608 0.04 0 c 19 85 581 561 bf 20 85 600 561 bf 19 85 620 561 bf 20 85 639 561 bf 20 85 659 561 bf 0.575333 0.0266667 0 c 19 85 679 561 bf 20 85 698 561 bf 19 85 718 561 bf 20 85 737 561 bf 19 85 757 561 bf 20 85 776 561 bf 19 85
|
|
||||||
796 561 bf 20 85 815 561 bf 19 85 835 561 bf 0.542667 0.0133333 0 c 20 85 854 561 bf 19 85 874 561 bf 20 85 893 561 bf 19 85 913 561 bf 20 85 932 561 bf 19 85 952 561 bf 20 85 971 561 bf 19 85 991 561 bf 20 85 1010 561 bf 19 85 1030 561 bf 20 85
|
|
||||||
1049 561 bf 19 85 1069 561 bf 20 85 1088 561 bf 19 85 1108 561 bf 20 85 1127 561 bf 19 85 1147 561 bf 20 85 1166 561 bf 19 85 1186 561 bf 20 85 1205 561 bf 19 85 1225 561 bf 20 85 1244 561 bf 19 85 1264 561 bf 20 85 1283 561 bf 19 85 1303 561 bf 20
|
|
||||||
85 1322 561 bf 19 85 1342 561 bf 20 85 1361 561 bf 19 85 1381 561 bf 20 85 1400 561 bf 19 85 1420 561 bf 20 85 1439 561 bf 19 85 1459 561 bf 20 85 1478 561 bf 19 85 1498 561 bf 20 85 1517 561 bf 19 85 1537 561 bf 20 85 1556 561 bf 19 85 1576 561 bf
|
|
||||||
20 85 1595 561 bf 19 85 1615 561 bf 20 85 1634 561 bf 19 85 1654 561 bf 20 85 1673 561 bf 19 85 1693 561 bf 20 85 1712 561 bf 19 85 1732 561 bf 20 85 1751 561 bf 19 85 1771 561 bf 20 85 1790 561 bf 19 85 1810 561 bf 20 85 1829 561 bf 19 85 1849 561
|
|
||||||
bf 20 85 1868 561 bf 19 85 1888 561 bf 20 85 1907 561 bf 19 85 1927 561 bf 20 85 1946 561 bf 19 85 1966 561 bf 20 85 1985 561 bf 19 85 2005 561 bf 20 85 2024 561 bf 19 85 2044 561 bf 20 85 2063 561 bf 19 85 2083 561 bf 20 85 2102 561 bf 19 85 2122
|
|
||||||
561 bf 20 85 2141 561 bf 19 85 2161 561 bf 20 85 2180 561 bf 0.7975 0.984167 0.193333 c 20 86 249 646 bf 0.925714 0.657143 0.0685714 c 19 86 269 646 bf 0.956667 0.466667 0.04 c 20 86 288 646 bf 0.975238 0.352381 0.0228571 c 19 86 308 646 bf
|
|
||||||
0.987619 0.27619 0.0114286 c 20 86 327 646 bf 1 0.2 0 c 19 86 347 646 bf 0.967333 0.186667 0 c 20 86 366 646 bf 0.934667 0.173333 0 c 19 86 386 646 bf 0.902 0.16 0 c 20 86 405 646 bf 0.869333 0.146667 0 c 19 86 425 646 bf 0.836667 0.133333 0 c 20
|
|
||||||
86 444 646 bf 0.804 0.12 0 c 19 86 464 646 bf 20 86 483 646 bf 0.771333 0.106667 0 c 19 86 503 646 bf 20 86 522 646 bf 0.738667 0.0933333 0 c 19 86 542 646 bf 20 86 561 646 bf 0.706 0.08 0 c 19 86 581 646 bf 20 86 600 646 bf 19 86 620 646 bf
|
|
||||||
0.673333 0.0666667 0 c 20 86 639 646 bf 20 86 659 646 bf 19 86 679 646 bf 20 86 698 646 bf 0.640667 0.0533333 0 c 19 86 718 646 bf 20 86 737 646 bf 19 86 757 646 bf 20 86 776 646 bf 19 86 796 646 bf 0.608 0.04 0 c 20 86 815 646 bf 19 86 835 646 bf
|
|
||||||
20 86 854 646 bf 19 86 874 646 bf 20 86 893 646 bf 19 86 913 646 bf 20 86 932 646 bf 19 86 952 646 bf 0.575333 0.0266667 0 c 20 86 971 646 bf 19 86 991 646 bf 20 86 1010 646 bf 19 86 1030 646 bf 20 86 1049 646 bf 19 86 1069 646 bf 20 86 1088 646 bf
|
|
||||||
19 86 1108 646 bf 20 86 1127 646 bf 19 86 1147 646 bf 20 86 1166 646 bf 19 86 1186 646 bf 20 86 1205 646 bf 19 86 1225 646 bf 0.542667 0.0133333 0 c 20 86 1244 646 bf 19 86 1264 646 bf 20 86 1283 646 bf 19 86 1303 646 bf 20 86 1322 646 bf 19 86
|
|
||||||
1342 646 bf 20 86 1361 646 bf 19 86 1381 646 bf 20 86 1400 646 bf 19 86 1420 646 bf 20 86 1439 646 bf 19 86 1459 646 bf 20 86 1478 646 bf 19 86 1498 646 bf 20 86 1517 646 bf 19 86 1537 646 bf 20 86 1556 646 bf 19 86 1576 646 bf 20 86 1595 646 bf 19
|
|
||||||
86 1615 646 bf 20 86 1634 646 bf 19 86 1654 646 bf 20 86 1673 646 bf 19 86 1693 646 bf 20 86 1712 646 bf 19 86 1732 646 bf 20 86 1751 646 bf 19 86 1771 646 bf 20 86 1790 646 bf 19 86 1810 646 bf 20 86 1829 646 bf 19 86 1849 646 bf 20 86 1868 646 bf
|
|
||||||
19 86 1888 646 bf 20 86 1907 646 bf 19 86 1927 646 bf 20 86 1946 646 bf 19 86 1966 646 bf 20 86 1985 646 bf 19 86 2005 646 bf 20 86 2024 646 bf 19 86 2044 646 bf 20 86 2063 646 bf 19 86 2083 646 bf 20 86 2102 646 bf 19 86 2122 646 bf 20 86 2141 646
|
|
||||||
bf 19 86 2161 646 bf 20 86 2180 646 bf 0.61625 0.944583 0.376667 c 20 85 249 732 bf 0.888571 0.885714 0.102857 c 19 85 269 732 bf 0.919524 0.695238 0.0742857 c 20 85 288 732 bf 0.938095 0.580952 0.0571429 c 19 85 308 732 bf 0.956667 0.466667 0.04 c
|
|
||||||
20 85 327 732 bf 0.962857 0.428571 0.0342857 c 19 85 347 732 bf 0.975238 0.352381 0.0228571 c 20 85 366 732 bf 0.981429 0.314286 0.0171429 c 19 85 386 732 bf 0.987619 0.27619 0.0114286 c 20 85 405 732 bf 0.99381 0.238095 0.00571429 c 19 85 425 732
|
|
||||||
bf 1 0.2 0 c 20 85 444 732 bf 0.967333 0.186667 0 c 19 85 464 732 bf 0.934667 0.173333 0 c 20 85 483 732 bf 19 85 503 732 bf 0.902 0.16 0 c 20 85 522 732 bf 19 85 542 732 bf 0.869333 0.146667 0 c 20 85 561 732 bf 19 85 581 732 bf 0.836667 0.133333
|
|
||||||
0 c 20 85 600 732 bf 19 85 620 732 bf 0.804 0.12 0 c 20 85 639 732 bf 20 85 659 732 bf 19 85 679 732 bf 0.771333 0.106667 0 c 20 85 698 732 bf 19 85 718 732 bf 20 85 737 732 bf 19 85 757 732 bf 0.738667 0.0933333 0 c 20 85 776 732 bf 19 85 796 732
|
|
||||||
bf 20 85 815 732 bf 19 85 835 732 bf 0.706 0.08 0 c 20 85 854 732 bf 19 85 874 732 bf 20 85 893 732 bf 19 85 913 732 bf 20 85 932 732 bf 0.673333 0.0666667 0 c 19 85 952 732 bf 20 85 971 732 bf 19 85 991 732 bf 20 85 1010 732 bf 19 85 1030 732 bf
|
|
||||||
20 85 1049 732 bf 19 85 1069 732 bf 0.640667 0.0533333 0 c 20 85 1088 732 bf 19 85 1108 732 bf 20 85 1127 732 bf 19 85 1147 732 bf 20 85 1166 732 bf 19 85 1186 732 bf 20 85 1205 732 bf 19 85 1225 732 bf 20 85 1244 732 bf 19 85 1264 732 bf 0.608
|
|
||||||
0.04 0 c 20 85 1283 732 bf 19 85 1303 732 bf 20 85 1322 732 bf 19 85 1342 732 bf 20 85 1361 732 bf 19 85 1381 732 bf 20 85 1400 732 bf 19 85 1420 732 bf 20 85 1439 732 bf 19 85 1459 732 bf 20 85 1478 732 bf 19 85 1498 732 bf 20 85 1517 732 bf 19 85
|
|
||||||
1537 732 bf 0.575333 0.0266667 0 c 20 85 1556 732 bf 19 85 1576 732 bf 20 85 1595 732 bf 19 85 1615 732 bf 20 85 1634 732 bf 19 85 1654 732 bf 20 85 1673 732 bf 19 85 1693 732 bf 20 85 1712 732 bf 19 85 1732 732 bf 20 85 1751 732 bf 19 85 1771 732
|
|
||||||
bf 20 85 1790 732 bf 19 85 1810 732 bf 20 85 1829 732 bf 19 85 1849 732 bf 20 85 1868 732 bf 19 85 1888 732 bf 20 85 1907 732 bf 19 85 1927 732 bf 20 85 1946 732 bf 19 85 1966 732 bf 20 85 1985 732 bf 19 85 2005 732 bf 20 85 2024 732 bf 0.542667
|
|
||||||
0.0133333 0 c 19 85 2044 732 bf 20 85 2063 732 bf 19 85 2083 732 bf 20 85 2102 732 bf 19 85 2122 732 bf 20 85 2141 732 bf 19 85 2161 732 bf 20 85 2180 732 bf 0.54375 0.92875 0.45 c 20 86 249 817 bf 0.882381 0.92381 0.108571 c 19 86 269 817 bf
|
|
||||||
0.913333 0.733333 0.08 c 20 86 288 817 bf 0.931905 0.619048 0.0628571 c 19 86 308 817 bf 0.944286 0.542857 0.0514286 c 20 86 327 817 bf 0.956667 0.466667 0.04 c 19 86 347 817 bf 0.969048 0.390476 0.0285714 c 20 86 366 817 bf 0.975238 0.352381
|
|
||||||
0.0228571 c 19 86 386 817 bf 0.981429 0.314286 0.0171429 c 20 86 405 817 bf 0.987619 0.27619 0.0114286 c 19 86 425 817 bf 0.99381 0.238095 0.00571429 c 20 86 444 817 bf 1 0.2 0 c 19 86 464 817 bf 20 86 483 817 bf 0.967333 0.186667 0 c 19 86 503 817
|
|
||||||
bf 0.934667 0.173333 0 c 20 86 522 817 bf 19 86 542 817 bf 0.902 0.16 0 c 20 86 561 817 bf 19 86 581 817 bf 0.869333 0.146667 0 c 20 86 600 817 bf 19 86 620 817 bf 0.836667 0.133333 0 c 20 86 639 817 bf 20 86 659 817 bf 19 86 679 817 bf 0.804 0.12
|
|
||||||
0 c 20 86 698 817 bf 19 86 718 817 bf 20 86 737 817 bf 19 86 757 817 bf 0.771333 0.106667 0 c 20 86 776 817 bf 19 86 796 817 bf 20 86 815 817 bf 19 86 835 817 bf 0.738667 0.0933333 0 c 20 86 854 817 bf 19 86 874 817 bf 20 86 893 817 bf 19 86 913
|
|
||||||
817 bf 20 86 932 817 bf 0.706 0.08 0 c 19 86 952 817 bf 20 86 971 817 bf 19 86 991 817 bf 20 86 1010 817 bf 19 86 1030 817 bf 20 86 1049 817 bf 0.673333 0.0666667 0 c 19 86 1069 817 bf 20 86 1088 817 bf 19 86 1108 817 bf 20 86 1127 817 bf 19 86
|
|
||||||
1147 817 bf 20 86 1166 817 bf 19 86 1186 817 bf 20 86 1205 817 bf 0.640667 0.0533333 0 c 19 86 1225 817 bf 20 86 1244 817 bf 19 86 1264 817 bf 20 86 1283 817 bf 19 86 1303 817 bf 20 86 1322 817 bf 19 86 1342 817 bf 20 86 1361 817 bf 19 86 1381 817
|
|
||||||
bf 20 86 1400 817 bf 19 86 1420 817 bf 0.608 0.04 0 c 20 86 1439 817 bf 19 86 1459 817 bf 20 86 1478 817 bf 19 86 1498 817 bf 20 86 1517 817 bf 19 86 1537 817 bf 20 86 1556 817 bf 19 86 1576 817 bf 20 86 1595 817 bf 19 86 1615 817 bf 20 86 1634 817
|
|
||||||
bf 19 86 1654 817 bf 20 86 1673 817 bf 19 86 1693 817 bf 20 86 1712 817 bf 19 86 1732 817 bf 20 86 1751 817 bf 0.575333 0.0266667 0 c 19 86 1771 817 bf 20 86 1790 817 bf 19 86 1810 817 bf 20 86 1829 817 bf 19 86 1849 817 bf 20 86 1868 817 bf 19 86
|
|
||||||
1888 817 bf 20 86 1907 817 bf 19 86 1927 817 bf 20 86 1946 817 bf 19 86 1966 817 bf 20 86 1985 817 bf 19 86 2005 817 bf 20 86 2024 817 bf 19 86 2044 817 bf 20 86 2063 817 bf 19 86 2083 817 bf 20 86 2102 817 bf 19 86 2122 817 bf 20 86 2141 817 bf 19
|
|
||||||
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|
|
||||||
bf 0.925714 0.657143 0.0685714 c 19 85 347 903 bf 0.938095 0.580952 0.0571429 c 20 85 366 903 bf 0.944286 0.542857 0.0514286 c 19 85 386 903 bf 0.950476 0.504762 0.0457143 c 20 85 405 903 bf 0.956667 0.466667 0.04 c 19 85 425 903 bf 0.962857
|
|
||||||
0.428571 0.0342857 c 20 85 444 903 bf 0.969048 0.390476 0.0285714 c 19 85 464 903 bf 0.975238 0.352381 0.0228571 c 20 85 483 903 bf 0.981429 0.314286 0.0171429 c 19 85 503 903 bf 20 85 522 903 bf 0.987619 0.27619 0.0114286 c 19 85 542 903 bf 20 85
|
|
||||||
561 903 bf 0.99381 0.238095 0.00571429 c 19 85 581 903 bf 20 85 600 903 bf 1 0.2 0 c 19 85 620 903 bf 20 85 639 903 bf 0.967333 0.186667 0 c 20 85 659 903 bf 19 85 679 903 bf 20 85 698 903 bf 0.934667 0.173333 0 c 19 85 718 903 bf 20 85 737 903 bf
|
|
||||||
19 85 757 903 bf 0.902 0.16 0 c 20 85 776 903 bf 19 85 796 903 bf 20 85 815 903 bf 0.869333 0.146667 0 c 19 85 835 903 bf 20 85 854 903 bf 19 85 874 903 bf 20 85 893 903 bf 0.836667 0.133333 0 c 19 85 913 903 bf 20 85 932 903 bf 19 85 952 903 bf 20
|
|
||||||
85 971 903 bf 19 85 991 903 bf 0.804 0.12 0 c 20 85 1010 903 bf 19 85 1030 903 bf 20 85 1049 903 bf 19 85 1069 903 bf 20 85 1088 903 bf 19 85 1108 903 bf 0.771333 0.106667 0 c 20 85 1127 903 bf 19 85 1147 903 bf 20 85 1166 903 bf 19 85 1186 903 bf
|
|
||||||
20 85 1205 903 bf 19 85 1225 903 bf 20 85 1244 903 bf 0.738667 0.0933333 0 c 19 85 1264 903 bf 20 85 1283 903 bf 19 85 1303 903 bf 20 85 1322 903 bf 19 85 1342 903 bf 20 85 1361 903 bf 19 85 1381 903 bf 20 85 1400 903 bf 0.706 0.08 0 c 19 85 1420
|
|
||||||
903 bf 20 85 1439 903 bf 19 85 1459 903 bf 20 85 1478 903 bf 19 85 1498 903 bf 20 85 1517 903 bf 19 85 1537 903 bf 20 85 1556 903 bf 19 85 1576 903 bf 20 85 1595 903 bf 19 85 1615 903 bf 0.673333 0.0666667 0 c 20 85 1634 903 bf 19 85 1654 903 bf 20
|
|
||||||
85 1673 903 bf 19 85 1693 903 bf 20 85 1712 903 bf 19 85 1732 903 bf 20 85 1751 903 bf 19 85 1771 903 bf 20 85 1790 903 bf 19 85 1810 903 bf 20 85 1829 903 bf 19 85 1849 903 bf 20 85 1868 903 bf 0.640667 0.0533333 0 c 19 85 1888 903 bf 20 85 1907
|
|
||||||
903 bf 19 85 1927 903 bf 20 85 1946 903 bf 19 85 1966 903 bf 20 85 1985 903 bf 19 85 2005 903 bf 20 85 2024 903 bf 19 85 2044 903 bf 20 85 2063 903 bf 19 85 2083 903 bf 20 85 2102 903 bf 19 85 2122 903 bf 20 85 2141 903 bf 19 85 2161 903 bf 20 85
|
|
||||||
2180 903 bf 0.25375 0.865417 0.743333 c 20 85 249 988 bf 0.61625 0.944583 0.376667 c 19 85 269 988 bf 0.7975 0.984167 0.193333 c 20 85 288 988 bf 0.87619 0.961905 0.114286 c 19 85 308 988 bf 0.894762 0.847619 0.0971429 c 20 85 327 988 bf 0.907143
|
|
||||||
0.771429 0.0857143 c 19 85 347 988 bf 0.913333 0.733333 0.08 c 20 85 366 988 bf 0.925714 0.657143 0.0685714 c 19 85 386 988 bf 0.931905 0.619048 0.0628571 c 20 85 405 988 bf 0.938095 0.580952 0.0571429 c 19 85 425 988 bf 0.944286 0.542857 0.0514286
|
|
||||||
c 20 85 444 988 bf 0.950476 0.504762 0.0457143 c 19 85 464 988 bf 0.956667 0.466667 0.04 c 20 85 483 988 bf 19 85 503 988 bf 0.962857 0.428571 0.0342857 c 20 85 522 988 bf 0.969048 0.390476 0.0285714 c 19 85 542 988 bf 20 85 561 988 bf 0.975238
|
|
||||||
0.352381 0.0228571 c 19 85 581 988 bf 20 85 600 988 bf 0.981429 0.314286 0.0171429 c 19 85 620 988 bf 20 85 639 988 bf 20 85 659 988 bf 0.987619 0.27619 0.0114286 c 19 85 679 988 bf 20 85 698 988 bf 0.99381 0.238095 0.00571429 c 19 85 718 988 bf 20
|
|
||||||
85 737 988 bf 19 85 757 988 bf 1 0.2 0 c 20 85 776 988 bf 19 85 796 988 bf 20 85 815 988 bf 19 85 835 988 bf 0.967333 0.186667 0 c 20 85 854 988 bf 19 85 874 988 bf 20 85 893 988 bf 0.934667 0.173333 0 c 19 85 913 988 bf 20 85 932 988 bf 19 85 952
|
|
||||||
988 bf 20 85 971 988 bf 19 85 991 988 bf 0.902 0.16 0 c 20 85 1010 988 bf 19 85 1030 988 bf 20 85 1049 988 bf 19 85 1069 988 bf 20 85 1088 988 bf 0.869333 0.146667 0 c 19 85 1108 988 bf 20 85 1127 988 bf 19 85 1147 988 bf 20 85 1166 988 bf 19 85
|
|
||||||
1186 988 bf 20 85 1205 988 bf 0.836667 0.133333 0 c 19 85 1225 988 bf 20 85 1244 988 bf 19 85 1264 988 bf 20 85 1283 988 bf 19 85 1303 988 bf 20 85 1322 988 bf 19 85 1342 988 bf 0.804 0.12 0 c 20 85 1361 988 bf 19 85 1381 988 bf 20 85 1400 988 bf
|
|
||||||
19 85 1420 988 bf 20 85 1439 988 bf 19 85 1459 988 bf 20 85 1478 988 bf 19 85 1498 988 bf 0.771333 0.106667 0 c 20 85 1517 988 bf 19 85 1537 988 bf 20 85 1556 988 bf 19 85 1576 988 bf 20 85 1595 988 bf 19 85 1615 988 bf 20 85 1634 988 bf 19 85 1654
|
|
||||||
988 bf 20 85 1673 988 bf 19 85 1693 988 bf 0.738667 0.0933333 0 c 20 85 1712 988 bf 19 85 1732 988 bf 20 85 1751 988 bf 19 85 1771 988 bf 20 85 1790 988 bf 19 85 1810 988 bf 20 85 1829 988 bf 19 85 1849 988 bf 20 85 1868 988 bf 19 85 1888 988 bf 20
|
|
||||||
85 1907 988 bf 19 85 1927 988 bf 0.706 0.08 0 c 20 85 1946 988 bf 19 85 1966 988 bf 20 85 1985 988 bf 19 85 2005 988 bf 20 85 2024 988 bf 19 85 2044 988 bf 20 85 2063 988 bf 19 85 2083 988 bf 20 85 2102 988 bf 19 85 2122 988 bf 20 85 2141 988 bf 19
|
|
||||||
85 2161 988 bf 20 85 2180 988 bf 0.145 0.841667 0.853333 c 20 86 249 1073 bf 0.54375 0.92875 0.45 c 19 86 269 1073 bf 0.725 0.968333 0.266667 c 20 86 288 1073 bf 0.83375 0.992083 0.156667 c 19 86 308 1073 bf 0.882381 0.92381 0.108571 c 20 86 327
|
|
||||||
1073 bf 0.888571 0.885714 0.102857 c 19 86 347 1073 bf 0.900952 0.809524 0.0914286 c 20 86 366 1073 bf 0.907143 0.771429 0.0857143 c 19 86 386 1073 bf 0.919524 0.695238 0.0742857 c 20 86 405 1073 bf 0.925714 0.657143 0.0685714 c 19 86 425 1073 bf
|
|
||||||
0.931905 0.619048 0.0628571 c 20 86 444 1073 bf 19 86 464 1073 bf 0.938095 0.580952 0.0571429 c 20 86 483 1073 bf 0.944286 0.542857 0.0514286 c 19 86 503 1073 bf 0.950476 0.504762 0.0457143 c 20 86 522 1073 bf 19 86 542 1073 bf 0.956667 0.466667
|
|
||||||
0.04 c 20 86 561 1073 bf 19 86 581 1073 bf 0.962857 0.428571 0.0342857 c 20 86 600 1073 bf 19 86 620 1073 bf 0.969048 0.390476 0.0285714 c 20 86 639 1073 bf 20 86 659 1073 bf 0.975238 0.352381 0.0228571 c 19 86 679 1073 bf 20 86 698 1073 bf 19 86
|
|
||||||
718 1073 bf 0.981429 0.314286 0.0171429 c 20 86 737 1073 bf 19 86 757 1073 bf 20 86 776 1073 bf 0.987619 0.27619 0.0114286 c 19 86 796 1073 bf 20 86 815 1073 bf 19 86 835 1073 bf 0.99381 0.238095 0.00571429 c 20 86 854 1073 bf 19 86 874 1073 bf 20
|
|
||||||
86 893 1073 bf 19 86 913 1073 bf 1 0.2 0 c 20 86 932 1073 bf 19 86 952 1073 bf 20 86 971 1073 bf 19 86 991 1073 bf 0.967333 0.186667 0 c 20 86 1010 1073 bf 19 86 1030 1073 bf 20 86 1049 1073 bf 19 86 1069 1073 bf 20 86 1088 1073 bf 0.934667
|
|
||||||
0.173333 0 c 19 86 1108 1073 bf 20 86 1127 1073 bf 19 86 1147 1073 bf 20 86 1166 1073 bf 19 86 1186 1073 bf 0.902 0.16 0 c 20 86 1205 1073 bf 19 86 1225 1073 bf 20 86 1244 1073 bf 19 86 1264 1073 bf 20 86 1283 1073 bf 19 86 1303 1073 bf 20 86 1322
|
|
||||||
1073 bf 0.869333 0.146667 0 c 19 86 1342 1073 bf 20 86 1361 1073 bf 19 86 1381 1073 bf 20 86 1400 1073 bf 19 86 1420 1073 bf 20 86 1439 1073 bf 19 86 1459 1073 bf 20 86 1478 1073 bf 0.836667 0.133333 0 c 19 86 1498 1073 bf 20 86 1517 1073 bf 19 86
|
|
||||||
1537 1073 bf 20 86 1556 1073 bf 19 86 1576 1073 bf 20 86 1595 1073 bf 19 86 1615 1073 bf 20 86 1634 1073 bf 0.804 0.12 0 c 19 86 1654 1073 bf 20 86 1673 1073 bf 19 86 1693 1073 bf 20 86 1712 1073 bf 19 86 1732 1073 bf 20 86 1751 1073 bf 19 86 1771
|
|
||||||
1073 bf 20 86 1790 1073 bf 19 86 1810 1073 bf 20 86 1829 1073 bf 19 86 1849 1073 bf 0.771333 0.106667 0 c 20 86 1868 1073 bf 19 86 1888 1073 bf 20 86 1907 1073 bf 19 86 1927 1073 bf 20 86 1946 1073 bf 19 86 1966 1073 bf 20 86 1985 1073 bf 19 86
|
|
||||||
2005 1073 bf 20 86 2024 1073 bf 19 86 2044 1073 bf 20 86 2063 1073 bf 19 86 2083 1073 bf 20 86 2102 1073 bf 0.738667 0.0933333 0 c 19 86 2122 1073 bf 20 86 2141 1073 bf 19 86 2161 1073 bf 20 86 2180 1073 bf 0.0725 0.825833 0.926667 c 20 85 249 1159
|
|
||||||
bf 0.435 0.905 0.56 c 19 85 269 1159 bf 0.61625 0.944583 0.376667 c 20 85 288 1159 bf 0.76125 0.97625 0.23 c 19 85 308 1159 bf 0.83375 0.992083 0.156667 c 20 85 327 1159 bf 0.87619 0.961905 0.114286 c 19 85 347 1159 bf 0.888571 0.885714 0.102857 c
|
|
||||||
20 85 366 1159 bf 0.894762 0.847619 0.0971429 c 19 85 386 1159 bf 0.900952 0.809524 0.0914286 c 20 85 405 1159 bf 0.907143 0.771429 0.0857143 c 19 85 425 1159 bf 0.913333 0.733333 0.08 c 20 85 444 1159 bf 0.919524 0.695238 0.0742857 c 19 85 464
|
|
||||||
1159 bf 0.925714 0.657143 0.0685714 c 20 85 483 1159 bf 19 85 503 1159 bf 0.931905 0.619048 0.0628571 c 20 85 522 1159 bf 0.938095 0.580952 0.0571429 c 19 85 542 1159 bf 20 85 561 1159 bf 0.944286 0.542857 0.0514286 c 19 85 581 1159 bf 20 85 600
|
|
||||||
1159 bf 0.950476 0.504762 0.0457143 c 19 85 620 1159 bf 20 85 639 1159 bf 0.956667 0.466667 0.04 c 20 85 659 1159 bf 19 85 679 1159 bf 0.962857 0.428571 0.0342857 c 20 85 698 1159 bf 19 85 718 1159 bf 20 85 737 1159 bf 0.969048 0.390476 0.0285714 c
|
|
||||||
19 85 757 1159 bf 20 85 776 1159 bf 19 85 796 1159 bf 0.975238 0.352381 0.0228571 c 20 85 815 1159 bf 19 85 835 1159 bf 20 85 854 1159 bf 0.981429 0.314286 0.0171429 c 19 85 874 1159 bf 20 85 893 1159 bf 19 85 913 1159 bf 20 85 932 1159 bf 0.987619
|
|
||||||
0.27619 0.0114286 c 19 85 952 1159 bf 20 85 971 1159 bf 19 85 991 1159 bf 20 85 1010 1159 bf 0.99381 0.238095 0.00571429 c 19 85 1030 1159 bf 20 85 1049 1159 bf 19 85 1069 1159 bf 20 85 1088 1159 bf 19 85 1108 1159 bf 1 0.2 0 c 20 85 1127 1159 bf
|
|
||||||
19 85 1147 1159 bf 20 85 1166 1159 bf 19 85 1186 1159 bf 20 85 1205 1159 bf 19 85 1225 1159 bf 0.967333 0.186667 0 c 20 85 1244 1159 bf 19 85 1264 1159 bf 20 85 1283 1159 bf 19 85 1303 1159 bf 20 85 1322 1159 bf 19 85 1342 1159 bf 0.934667 0.173333
|
|
||||||
0 c 20 85 1361 1159 bf 19 85 1381 1159 bf 20 85 1400 1159 bf 19 85 1420 1159 bf 20 85 1439 1159 bf 19 85 1459 1159 bf 20 85 1478 1159 bf 19 85 1498 1159 bf 0.902 0.16 0 c 20 85 1517 1159 bf 19 85 1537 1159 bf 20 85 1556 1159 bf 19 85 1576 1159 bf
|
|
||||||
20 85 1595 1159 bf 19 85 1615 1159 bf 20 85 1634 1159 bf 19 85 1654 1159 bf 0.869333 0.146667 0 c 20 85 1673 1159 bf 19 85 1693 1159 bf 20 85 1712 1159 bf 19 85 1732 1159 bf 20 85 1751 1159 bf 19 85 1771 1159 bf 20 85 1790 1159 bf 19 85 1810 1159
|
|
||||||
bf 20 85 1829 1159 bf 19 85 1849 1159 bf 0.836667 0.133333 0 c 20 85 1868 1159 bf 19 85 1888 1159 bf 20 85 1907 1159 bf 19 85 1927 1159 bf 20 85 1946 1159 bf 19 85 1966 1159 bf 20 85 1985 1159 bf 19 85 2005 1159 bf 20 85 2024 1159 bf 19 85 2044
|
|
||||||
1159 bf 20 85 2063 1159 bf 19 85 2083 1159 bf 0.804 0.12 0 c 20 85 2102 1159 bf 19 85 2122 1159 bf 20 85 2141 1159 bf 19 85 2161 1159 bf 20 85 2180 1159 bf 0 0.81 1 c 20 86 249 1244 bf 0.39875 0.897083 0.596667 c 19 86 269 1244 bf 0.58 0.936667
|
|
||||||
0.413333 c 20 86 288 1244 bf 0.68875 0.960417 0.303333 c 19 86 308 1244 bf 0.76125 0.97625 0.23 c 20 86 327 1244 bf 0.83375 0.992083 0.156667 c 19 86 347 1244 bf 0.87619 0.961905 0.114286 c 20 86 366 1244 bf 0.882381 0.92381 0.108571 c 19 86 386
|
|
||||||
1244 bf 0.888571 0.885714 0.102857 c 20 86 405 1244 bf 0.900952 0.809524 0.0914286 c 19 86 425 1244 bf 0.907143 0.771429 0.0857143 c 20 86 444 1244 bf 19 86 464 1244 bf 0.913333 0.733333 0.08 c 20 86 483 1244 bf 0.919524 0.695238 0.0742857 c 19 86
|
|
||||||
503 1244 bf 0.925714 0.657143 0.0685714 c 20 86 522 1244 bf 19 86 542 1244 bf 0.931905 0.619048 0.0628571 c 20 86 561 1244 bf 19 86 581 1244 bf 0.938095 0.580952 0.0571429 c 20 86 600 1244 bf 19 86 620 1244 bf 0.944286 0.542857 0.0514286 c 20 86
|
|
||||||
639 1244 bf 20 86 659 1244 bf 0.950476 0.504762 0.0457143 c 19 86 679 1244 bf 20 86 698 1244 bf 19 86 718 1244 bf 0.956667 0.466667 0.04 c 20 86 737 1244 bf 19 86 757 1244 bf 0.962857 0.428571 0.0342857 c 20 86 776 1244 bf 19 86 796 1244 bf 20 86
|
|
||||||
815 1244 bf 0.969048 0.390476 0.0285714 c 19 86 835 1244 bf 20 86 854 1244 bf 19 86 874 1244 bf 20 86 893 1244 bf 0.975238 0.352381 0.0228571 c 19 86 913 1244 bf 20 86 932 1244 bf 19 86 952 1244 bf 20 86 971 1244 bf 0.981429 0.314286 0.0171429 c 19
|
|
||||||
86 991 1244 bf 20 86 1010 1244 bf 19 86 1030 1244 bf 20 86 1049 1244 bf 19 86 1069 1244 bf 0.987619 0.27619 0.0114286 c 20 86 1088 1244 bf 19 86 1108 1244 bf 20 86 1127 1244 bf 19 86 1147 1244 bf 20 86 1166 1244 bf 0.99381 0.238095 0.00571429 c 19
|
|
||||||
86 1186 1244 bf 20 86 1205 1244 bf 19 86 1225 1244 bf 20 86 1244 1244 bf 19 86 1264 1244 bf 20 86 1283 1244 bf 1 0.2 0 c 19 86 1303 1244 bf 20 86 1322 1244 bf 19 86 1342 1244 bf 20 86 1361 1244 bf 19 86 1381 1244 bf 20 86 1400 1244 bf 0.967333
|
|
||||||
0.186667 0 c 19 86 1420 1244 bf 20 86 1439 1244 bf 19 86 1459 1244 bf 20 86 1478 1244 bf 19 86 1498 1244 bf 20 86 1517 1244 bf 19 86 1537 1244 bf 20 86 1556 1244 bf 0.934667 0.173333 0 c 19 86 1576 1244 bf 20 86 1595 1244 bf 19 86 1615 1244 bf 20
|
|
||||||
86 1634 1244 bf 19 86 1654 1244 bf 20 86 1673 1244 bf 19 86 1693 1244 bf 20 86 1712 1244 bf 0.902 0.16 0 c 19 86 1732 1244 bf 20 86 1751 1244 bf 19 86 1771 1244 bf 20 86 1790 1244 bf 19 86 1810 1244 bf 20 86 1829 1244 bf 19 86 1849 1244 bf 20 86
|
|
||||||
1868 1244 bf 19 86 1888 1244 bf 20 86 1907 1244 bf 0.869333 0.146667 0 c 19 86 1927 1244 bf 20 86 1946 1244 bf 19 86 1966 1244 bf 20 86 1985 1244 bf 19 86 2005 1244 bf 20 86 2024 1244 bf 19 86 2044 1244 bf 20 86 2063 1244 bf 19 86 2083 1244 bf 20
|
|
||||||
86 2102 1244 bf 19 86 2122 1244 bf 20 86 2141 1244 bf 0.836667 0.133333 0 c 19 86 2161 1244 bf 20 86 2180 1244 bf 0 0.729 0.951 c 20 85 249 1330 bf 0.29 0.873333 0.706667 c 19 85 269 1330 bf 0.47125 0.912917 0.523333 c 20 85 288 1330 bf 0.58
|
|
||||||
0.936667 0.413333 c 19 85 308 1330 bf 0.68875 0.960417 0.303333 c 20 85 327 1330 bf 0.76125 0.97625 0.23 c 19 85 347 1330 bf 0.7975 0.984167 0.193333 c 20 85 366 1330 bf 0.87 1 0.12 c 19 85 386 1330 bf 0.87619 0.961905 0.114286 c 20 85 405 1330 bf
|
|
||||||
0.882381 0.92381 0.108571 c 19 85 425 1330 bf 0.888571 0.885714 0.102857 c 20 85 444 1330 bf 0.894762 0.847619 0.0971429 c 19 85 464 1330 bf 0.900952 0.809524 0.0914286 c 20 85 483 1330 bf 19 85 503 1330 bf 0.907143 0.771429 0.0857143 c 20 85 522
|
|
||||||
1330 bf 0.913333 0.733333 0.08 c 19 85 542 1330 bf 20 85 561 1330 bf 0.919524 0.695238 0.0742857 c 19 85 581 1330 bf 20 85 600 1330 bf 0.925714 0.657143 0.0685714 c 19 85 620 1330 bf 20 85 639 1330 bf 0.931905 0.619048 0.0628571 c 20 85 659 1330 bf
|
|
||||||
19 85 679 1330 bf 0.938095 0.580952 0.0571429 c 20 85 698 1330 bf 19 85 718 1330 bf 20 85 737 1330 bf 0.944286 0.542857 0.0514286 c 19 85 757 1330 bf 20 85 776 1330 bf 19 85 796 1330 bf 0.950476 0.504762 0.0457143 c 20 85 815 1330 bf 19 85 835 1330
|
|
||||||
bf 20 85 854 1330 bf 0.956667 0.466667 0.04 c 19 85 874 1330 bf 20 85 893 1330 bf 19 85 913 1330 bf 20 85 932 1330 bf 0.962857 0.428571 0.0342857 c 19 85 952 1330 bf 20 85 971 1330 bf 19 85 991 1330 bf 20 85 1010 1330 bf 0.969048 0.390476 0.0285714
|
|
||||||
c 19 85 1030 1330 bf 20 85 1049 1330 bf 19 85 1069 1330 bf 20 85 1088 1330 bf 0.975238 0.352381 0.0228571 c 19 85 1108 1330 bf 20 85 1127 1330 bf 19 85 1147 1330 bf 20 85 1166 1330 bf 19 85 1186 1330 bf 0.981429 0.314286 0.0171429 c 20 85 1205 1330
|
|
||||||
bf 19 85 1225 1330 bf 20 85 1244 1330 bf 19 85 1264 1330 bf 20 85 1283 1330 bf 19 85 1303 1330 bf 0.987619 0.27619 0.0114286 c 20 85 1322 1330 bf 19 85 1342 1330 bf 20 85 1361 1330 bf 19 85 1381 1330 bf 20 85 1400 1330 bf 19 85 1420 1330 bf 20 85
|
|
||||||
1439 1330 bf 0.99381 0.238095 0.00571429 c 19 85 1459 1330 bf 20 85 1478 1330 bf 19 85 1498 1330 bf 20 85 1517 1330 bf 19 85 1537 1330 bf 20 85 1556 1330 bf 19 85 1576 1330 bf 20 85 1595 1330 bf 1 0.2 0 c 19 85 1615 1330 bf 20 85 1634 1330 bf 19 85
|
|
||||||
1654 1330 bf 20 85 1673 1330 bf 19 85 1693 1330 bf 20 85 1712 1330 bf 19 85 1732 1330 bf 20 85 1751 1330 bf 0.967333 0.186667 0 c 19 85 1771 1330 bf 20 85 1790 1330 bf 19 85 1810 1330 bf 20 85 1829 1330 bf 19 85 1849 1330 bf 20 85 1868 1330 bf 19
|
|
||||||
85 1888 1330 bf 20 85 1907 1330 bf 19 85 1927 1330 bf 20 85 1946 1330 bf 0.934667 0.173333 0 c 19 85 1966 1330 bf 20 85 1985 1330 bf 19 85 2005 1330 bf 20 85 2024 1330 bf 19 85 2044 1330 bf 20 85 2063 1330 bf 19 85 2083 1330 bf 20 85 2102 1330 bf
|
|
||||||
19 85 2122 1330 bf 20 85 2141 1330 bf 19 85 2161 1330 bf 0.902 0.16 0 c 20 85 2180 1330 bf 0 0.675 0.918333 c 20 86 249 1415 bf 0.2175 0.8575 0.78 c 19 86 269 1415 bf 0.39875 0.897083 0.596667 c 20 86 288 1415 bf 0.5075 0.920833 0.486667 c 19 86
|
|
||||||
308 1415 bf 0.61625 0.944583 0.376667 c 20 86 327 1415 bf 0.68875 0.960417 0.303333 c 19 86 347 1415 bf 0.725 0.968333 0.266667 c 20 86 366 1415 bf 0.7975 0.984167 0.193333 c 19 86 386 1415 bf 0.83375 0.992083 0.156667 c 20 86 405 1415 bf 0.87 1
|
|
||||||
0.12 c 19 86 425 1415 bf 0.87619 0.961905 0.114286 c 20 86 444 1415 bf 0.882381 0.92381 0.108571 c 19 86 464 1415 bf 0.888571 0.885714 0.102857 c 20 86 483 1415 bf 19 86 503 1415 bf 0.894762 0.847619 0.0971429 c 20 86 522 1415 bf 0.900952 0.809524
|
|
||||||
0.0914286 c 19 86 542 1415 bf 20 86 561 1415 bf 0.907143 0.771429 0.0857143 c 19 86 581 1415 bf 20 86 600 1415 bf 0.913333 0.733333 0.08 c 19 86 620 1415 bf 20 86 639 1415 bf 0.919524 0.695238 0.0742857 c 20 86 659 1415 bf 19 86 679 1415 bf
|
|
||||||
0.925714 0.657143 0.0685714 c 20 86 698 1415 bf 19 86 718 1415 bf 20 86 737 1415 bf 0.931905 0.619048 0.0628571 c 19 86 757 1415 bf 20 86 776 1415 bf 19 86 796 1415 bf 0.938095 0.580952 0.0571429 c 20 86 815 1415 bf 19 86 835 1415 bf 20 86 854 1415
|
|
||||||
bf 0.944286 0.542857 0.0514286 c 19 86 874 1415 bf 20 86 893 1415 bf 19 86 913 1415 bf 20 86 932 1415 bf 0.950476 0.504762 0.0457143 c 19 86 952 1415 bf 20 86 971 1415 bf 19 86 991 1415 bf 20 86 1010 1415 bf 0.956667 0.466667 0.04 c 19 86 1030 1415
|
|
||||||
bf 20 86 1049 1415 bf 19 86 1069 1415 bf 20 86 1088 1415 bf 0.962857 0.428571 0.0342857 c 19 86 1108 1415 bf 20 86 1127 1415 bf 19 86 1147 1415 bf 20 86 1166 1415 bf 19 86 1186 1415 bf 20 86 1205 1415 bf 0.969048 0.390476 0.0285714 c 19 86 1225
|
|
||||||
1415 bf 20 86 1244 1415 bf 19 86 1264 1415 bf 20 86 1283 1415 bf 19 86 1303 1415 bf 0.975238 0.352381 0.0228571 c 20 86 1322 1415 bf 19 86 1342 1415 bf 20 86 1361 1415 bf 19 86 1381 1415 bf 20 86 1400 1415 bf 19 86 1420 1415 bf 20 86 1439 1415 bf
|
|
||||||
0.981429 0.314286 0.0171429 c 19 86 1459 1415 bf 20 86 1478 1415 bf 19 86 1498 1415 bf 20 86 1517 1415 bf 19 86 1537 1415 bf 20 86 1556 1415 bf 19 86 1576 1415 bf 0.987619 0.27619 0.0114286 c 20 86 1595 1415 bf 19 86 1615 1415 bf 20 86 1634 1415 bf
|
|
||||||
19 86 1654 1415 bf 20 86 1673 1415 bf 19 86 1693 1415 bf 20 86 1712 1415 bf 19 86 1732 1415 bf 0.99381 0.238095 0.00571429 c 20 86 1751 1415 bf 19 86 1771 1415 bf 20 86 1790 1415 bf 19 86 1810 1415 bf 20 86 1829 1415 bf 19 86 1849 1415 bf 20 86
|
|
||||||
1868 1415 bf 19 86 1888 1415 bf 20 86 1907 1415 bf 19 86 1927 1415 bf 1 0.2 0 c 20 86 1946 1415 bf 19 86 1966 1415 bf 20 86 1985 1415 bf 19 86 2005 1415 bf 20 86 2024 1415 bf 19 86 2044 1415 bf 20 86 2063 1415 bf 19 86 2083 1415 bf 20 86 2102 1415
|
|
||||||
bf 19 86 2122 1415 bf 20 86 2141 1415 bf 0.967333 0.186667 0 c 19 86 2161 1415 bf 20 86 2180 1415 bf 0 0.675 0.918333 c 20 85 249 1501 bf 0.2175 0.8575 0.78 c 19 85 269 1501 bf 0.39875 0.897083 0.596667 c 20 85 288 1501 bf 0.5075 0.920833 0.486667
|
|
||||||
c 19 85 308 1501 bf 0.58 0.936667 0.413333 c 20 85 327 1501 bf 0.6525 0.9525 0.34 c 19 85 347 1501 bf 0.725 0.968333 0.266667 c 20 85 366 1501 bf 0.76125 0.97625 0.23 c 19 85 386 1501 bf 0.7975 0.984167 0.193333 c 20 85 405 1501 bf 0.83375 0.992083
|
|
||||||
0.156667 c 19 85 425 1501 bf 0.87 1 0.12 c 20 85 444 1501 bf 0.87619 0.961905 0.114286 c 19 85 464 1501 bf 0.882381 0.92381 0.108571 c 20 85 483 1501 bf 0.888571 0.885714 0.102857 c 19 85 503 1501 bf 0.894762 0.847619 0.0971429 c 20 85 522 1501 bf
|
|
||||||
19 85 542 1501 bf 0.900952 0.809524 0.0914286 c 20 85 561 1501 bf 19 85 581 1501 bf 0.907143 0.771429 0.0857143 c 20 85 600 1501 bf 19 85 620 1501 bf 0.913333 0.733333 0.08 c 20 85 639 1501 bf 20 85 659 1501 bf 0.919524 0.695238 0.0742857 c 19 85
|
|
||||||
679 1501 bf 20 85 698 1501 bf 0.925714 0.657143 0.0685714 c 19 85 718 1501 bf 20 85 737 1501 bf 19 85 757 1501 bf 0.931905 0.619048 0.0628571 c 20 85 776 1501 bf 19 85 796 1501 bf 20 85 815 1501 bf 0.938095 0.580952 0.0571429 c 19 85 835 1501 bf 20
|
|
||||||
85 854 1501 bf 19 85 874 1501 bf 20 85 893 1501 bf 0.944286 0.542857 0.0514286 c 19 85 913 1501 bf 20 85 932 1501 bf 19 85 952 1501 bf 0.950476 0.504762 0.0457143 c 20 85 971 1501 bf 19 85 991 1501 bf 20 85 1010 1501 bf 19 85 1030 1501 bf 20 85
|
|
||||||
1049 1501 bf 0.956667 0.466667 0.04 c 19 85 1069 1501 bf 20 85 1088 1501 bf 19 85 1108 1501 bf 20 85 1127 1501 bf 0.962857 0.428571 0.0342857 c 19 85 1147 1501 bf 20 85 1166 1501 bf 19 85 1186 1501 bf 20 85 1205 1501 bf 19 85 1225 1501 bf 20 85
|
|
||||||
1244 1501 bf 0.969048 0.390476 0.0285714 c 19 85 1264 1501 bf 20 85 1283 1501 bf 19 85 1303 1501 bf 20 85 1322 1501 bf 19 85 1342 1501 bf 20 85 1361 1501 bf 0.975238 0.352381 0.0228571 c 19 85 1381 1501 bf 20 85 1400 1501 bf 19 85 1420 1501 bf 20
|
|
||||||
85 1439 1501 bf 19 85 1459 1501 bf 20 85 1478 1501 bf 0.981429 0.314286 0.0171429 c 19 85 1498 1501 bf 20 85 1517 1501 bf 19 85 1537 1501 bf 20 85 1556 1501 bf 19 85 1576 1501 bf 20 85 1595 1501 bf 19 85 1615 1501 bf 20 85 1634 1501 bf 0.987619
|
|
||||||
0.27619 0.0114286 c 19 85 1654 1501 bf 20 85 1673 1501 bf 19 85 1693 1501 bf 20 85 1712 1501 bf 19 85 1732 1501 bf 20 85 1751 1501 bf 19 85 1771 1501 bf 20 85 1790 1501 bf 19 85 1810 1501 bf 0.99381 0.238095 0.00571429 c 20 85 1829 1501 bf 19 85
|
|
||||||
1849 1501 bf 20 85 1868 1501 bf 19 85 1888 1501 bf 20 85 1907 1501 bf 19 85 1927 1501 bf 20 85 1946 1501 bf 19 85 1966 1501 bf 20 85 1985 1501 bf 19 85 2005 1501 bf 1 0.2 0 c 20 85 2024 1501 bf 19 85 2044 1501 bf 20 85 2063 1501 bf 19 85 2083 1501
|
|
||||||
bf 20 85 2102 1501 bf 19 85 2122 1501 bf 20 85 2141 1501 bf 19 85 2161 1501 bf 20 85 2180 1501 bf 0 0.621 0.885667 c 20 86 249 1586 bf 0.145 0.841667 0.853333 c 19 86 269 1586 bf 0.32625 0.88125 0.67 c 20 86 288 1586 bf 0.435 0.905 0.56 c 19 86 308
|
|
||||||
1586 bf 0.5075 0.920833 0.486667 c 20 86 327 1586 bf 0.58 0.936667 0.413333 c 19 86 347 1586 bf 0.6525 0.9525 0.34 c 20 86 366 1586 bf 0.68875 0.960417 0.303333 c 19 86 386 1586 bf 0.76125 0.97625 0.23 c 20 86 405 1586 bf 0.7975 0.984167 0.193333 c
|
|
||||||
19 86 425 1586 bf 0.83375 0.992083 0.156667 c 20 86 444 1586 bf 19 86 464 1586 bf 0.87 1 0.12 c 20 86 483 1586 bf 0.87619 0.961905 0.114286 c 19 86 503 1586 bf 0.882381 0.92381 0.108571 c 20 86 522 1586 bf 19 86 542 1586 bf 0.888571 0.885714
|
|
||||||
0.102857 c 20 86 561 1586 bf 19 86 581 1586 bf 0.894762 0.847619 0.0971429 c 20 86 600 1586 bf 0.900952 0.809524 0.0914286 c 19 86 620 1586 bf 20 86 639 1586 bf 20 86 659 1586 bf 0.907143 0.771429 0.0857143 c 19 86 679 1586 bf 20 86 698 1586 bf
|
|
||||||
0.913333 0.733333 0.08 c 19 86 718 1586 bf 20 86 737 1586 bf 19 86 757 1586 bf 0.919524 0.695238 0.0742857 c 20 86 776 1586 bf 19 86 796 1586 bf 20 86 815 1586 bf 0.925714 0.657143 0.0685714 c 19 86 835 1586 bf 20 86 854 1586 bf 19 86 874 1586 bf
|
|
||||||
0.931905 0.619048 0.0628571 c 20 86 893 1586 bf 19 86 913 1586 bf 20 86 932 1586 bf 19 86 952 1586 bf 0.938095 0.580952 0.0571429 c 20 86 971 1586 bf 19 86 991 1586 bf 20 86 1010 1586 bf 19 86 1030 1586 bf 0.944286 0.542857 0.0514286 c 20 86 1049
|
|
||||||
1586 bf 19 86 1069 1586 bf 20 86 1088 1586 bf 19 86 1108 1586 bf 0.950476 0.504762 0.0457143 c 20 86 1127 1586 bf 19 86 1147 1586 bf 20 86 1166 1586 bf 19 86 1186 1586 bf 20 86 1205 1586 bf 19 86 1225 1586 bf 0.956667 0.466667 0.04 c 20 86 1244
|
|
||||||
1586 bf 19 86 1264 1586 bf 20 86 1283 1586 bf 19 86 1303 1586 bf 20 86 1322 1586 bf 0.962857 0.428571 0.0342857 c 19 86 1342 1586 bf 20 86 1361 1586 bf 19 86 1381 1586 bf 20 86 1400 1586 bf 19 86 1420 1586 bf 20 86 1439 1586 bf 19 86 1459 1586 bf
|
|
||||||
0.969048 0.390476 0.0285714 c 20 86 1478 1586 bf 19 86 1498 1586 bf 20 86 1517 1586 bf 19 86 1537 1586 bf 20 86 1556 1586 bf 19 86 1576 1586 bf 20 86 1595 1586 bf 0.975238 0.352381 0.0228571 c 19 86 1615 1586 bf 20 86 1634 1586 bf 19 86 1654 1586
|
|
||||||
bf 20 86 1673 1586 bf 19 86 1693 1586 bf 20 86 1712 1586 bf 19 86 1732 1586 bf 20 86 1751 1586 bf 0.981429 0.314286 0.0171429 c 19 86 1771 1586 bf 20 86 1790 1586 bf 19 86 1810 1586 bf 20 86 1829 1586 bf 19 86 1849 1586 bf 20 86 1868 1586 bf 19 86
|
|
||||||
1888 1586 bf 20 86 1907 1586 bf 19 86 1927 1586 bf 20 86 1946 1586 bf 0.987619 0.27619 0.0114286 c 19 86 1966 1586 bf 20 86 1985 1586 bf 19 86 2005 1586 bf 20 86 2024 1586 bf 19 86 2044 1586 bf 20 86 2063 1586 bf 19 86 2083 1586 bf 20 86 2102 1586
|
|
||||||
bf 19 86 2122 1586 bf 20 86 2141 1586 bf 0.99381 0.238095 0.00571429 c 19 86 2161 1586 bf 20 86 2180 1586 bf 0 0.594 0.869333 c 20 85 249 1672 bf 0.0725 0.825833 0.926667 c 19 85 269 1672 bf 0.25375 0.865417 0.743333 c 20 85 288 1672 bf 0.39875
|
|
||||||
0.897083 0.596667 c 19 85 308 1672 bf 0.47125 0.912917 0.523333 c 20 85 327 1672 bf 0.54375 0.92875 0.45 c 19 85 347 1672 bf 0.61625 0.944583 0.376667 c 20 85 366 1672 bf 0.6525 0.9525 0.34 c 19 85 386 1672 bf 0.68875 0.960417 0.303333 c 20 85 405
|
|
||||||
1672 bf 0.725 0.968333 0.266667 c 19 85 425 1672 bf 0.76125 0.97625 0.23 c 20 85 444 1672 bf 0.7975 0.984167 0.193333 c 19 85 464 1672 bf 0.83375 0.992083 0.156667 c 20 85 483 1672 bf 0.87 1 0.12 c 19 85 503 1672 bf 20 85 522 1672 bf 0.87619
|
|
||||||
0.961905 0.114286 c 19 85 542 1672 bf 0.882381 0.92381 0.108571 c 20 85 561 1672 bf 19 85 581 1672 bf 0.888571 0.885714 0.102857 c 20 85 600 1672 bf 19 85 620 1672 bf 0.894762 0.847619 0.0971429 c 20 85 639 1672 bf 20 85 659 1672 bf 0.900952
|
|
||||||
0.809524 0.0914286 c 19 85 679 1672 bf 20 85 698 1672 bf 19 85 718 1672 bf 0.907143 0.771429 0.0857143 c 20 85 737 1672 bf 19 85 757 1672 bf 0.913333 0.733333 0.08 c 20 85 776 1672 bf 19 85 796 1672 bf 20 85 815 1672 bf 0.919524 0.695238 0.0742857
|
|
||||||
c 19 85 835 1672 bf 20 85 854 1672 bf 19 85 874 1672 bf 20 85 893 1672 bf 0.925714 0.657143 0.0685714 c 19 85 913 1672 bf 20 85 932 1672 bf 19 85 952 1672 bf 0.931905 0.619048 0.0628571 c 20 85 971 1672 bf 19 85 991 1672 bf 20 85 1010 1672 bf 19 85
|
|
||||||
1030 1672 bf 20 85 1049 1672 bf 0.938095 0.580952 0.0571429 c 19 85 1069 1672 bf 20 85 1088 1672 bf 19 85 1108 1672 bf 20 85 1127 1672 bf 0.944286 0.542857 0.0514286 c 19 85 1147 1672 bf 20 85 1166 1672 bf 19 85 1186 1672 bf 20 85 1205 1672 bf 19
|
|
||||||
85 1225 1672 bf 20 85 1244 1672 bf 0.950476 0.504762 0.0457143 c 19 85 1264 1672 bf 20 85 1283 1672 bf 19 85 1303 1672 bf 20 85 1322 1672 bf 19 85 1342 1672 bf 0.956667 0.466667 0.04 c 20 85 1361 1672 bf 19 85 1381 1672 bf 20 85 1400 1672 bf 19 85
|
|
||||||
1420 1672 bf 20 85 1439 1672 bf 19 85 1459 1672 bf 20 85 1478 1672 bf 0.962857 0.428571 0.0342857 c 19 85 1498 1672 bf 20 85 1517 1672 bf 19 85 1537 1672 bf 20 85 1556 1672 bf 19 85 1576 1672 bf 20 85 1595 1672 bf 19 85 1615 1672 bf 0.969048
|
|
||||||
0.390476 0.0285714 c 20 85 1634 1672 bf 19 85 1654 1672 bf 20 85 1673 1672 bf 19 85 1693 1672 bf 20 85 1712 1672 bf 19 85 1732 1672 bf 20 85 1751 1672 bf 19 85 1771 1672 bf 20 85 1790 1672 bf 0.975238 0.352381 0.0228571 c 19 85 1810 1672 bf 20 85
|
|
||||||
1829 1672 bf 19 85 1849 1672 bf 20 85 1868 1672 bf 19 85 1888 1672 bf 20 85 1907 1672 bf 19 85 1927 1672 bf 20 85 1946 1672 bf 19 85 1966 1672 bf 0.981429 0.314286 0.0171429 c 20 85 1985 1672 bf 19 85 2005 1672 bf 20 85 2024 1672 bf 19 85 2044 1672
|
|
||||||
bf 20 85 2063 1672 bf 19 85 2083 1672 bf 20 85 2102 1672 bf 19 85 2122 1672 bf 20 85 2141 1672 bf 19 85 2161 1672 bf 20 85 2180 1672 bf 0 0.54 0.836667 c 20 85 249 1757 bf 0.03625 0.817917 0.963333 c 19 85 269 1757 bf 0.2175 0.8575 0.78 c 20 85 288
|
|
||||||
1757 bf 0.32625 0.88125 0.67 c 19 85 308 1757 bf 0.435 0.905 0.56 c 20 85 327 1757 bf 0.5075 0.920833 0.486667 c 19 85 347 1757 bf 0.54375 0.92875 0.45 c 20 85 366 1757 bf 0.61625 0.944583 0.376667 c 19 85 386 1757 bf 0.6525 0.9525 0.34 c 20 85 405
|
|
||||||
1757 bf 0.68875 0.960417 0.303333 c 19 85 425 1757 bf 0.725 0.968333 0.266667 c 20 85 444 1757 bf 0.76125 0.97625 0.23 c 19 85 464 1757 bf 0.7975 0.984167 0.193333 c 20 85 483 1757 bf 19 85 503 1757 bf 0.83375 0.992083 0.156667 c 20 85 522 1757 bf
|
|
||||||
0.87 1 0.12 c 19 85 542 1757 bf 20 85 561 1757 bf 0.87619 0.961905 0.114286 c 19 85 581 1757 bf 20 85 600 1757 bf 0.882381 0.92381 0.108571 c 19 85 620 1757 bf 20 85 639 1757 bf 0.888571 0.885714 0.102857 c 20 85 659 1757 bf 19 85 679 1757 bf
|
|
||||||
0.894762 0.847619 0.0971429 c 20 85 698 1757 bf 19 85 718 1757 bf 20 85 737 1757 bf 0.900952 0.809524 0.0914286 c 19 85 757 1757 bf 20 85 776 1757 bf 0.907143 0.771429 0.0857143 c 19 85 796 1757 bf 20 85 815 1757 bf 19 85 835 1757 bf 0.913333
|
|
||||||
0.733333 0.08 c 20 85 854 1757 bf 19 85 874 1757 bf 20 85 893 1757 bf 19 85 913 1757 bf 0.919524 0.695238 0.0742857 c 20 85 932 1757 bf 19 85 952 1757 bf 20 85 971 1757 bf 19 85 991 1757 bf 0.925714 0.657143 0.0685714 c 20 85 1010 1757 bf 19 85
|
|
||||||
1030 1757 bf 20 85 1049 1757 bf 19 85 1069 1757 bf 0.931905 0.619048 0.0628571 c 20 85 1088 1757 bf 19 85 1108 1757 bf 20 85 1127 1757 bf 19 85 1147 1757 bf 20 85 1166 1757 bf 0.938095 0.580952 0.0571429 c 19 85 1186 1757 bf 20 85 1205 1757 bf 19
|
|
||||||
85 1225 1757 bf 20 85 1244 1757 bf 19 85 1264 1757 bf 0.944286 0.542857 0.0514286 c 20 85 1283 1757 bf 19 85 1303 1757 bf 20 85 1322 1757 bf 19 85 1342 1757 bf 20 85 1361 1757 bf 19 85 1381 1757 bf 20 85 1400 1757 bf 0.950476 0.504762 0.0457143 c
|
|
||||||
19 85 1420 1757 bf 20 85 1439 1757 bf 19 85 1459 1757 bf 20 85 1478 1757 bf 19 85 1498 1757 bf 20 85 1517 1757 bf 0.956667 0.466667 0.04 c 19 85 1537 1757 bf 20 85 1556 1757 bf 19 85 1576 1757 bf 20 85 1595 1757 bf 19 85 1615 1757 bf 20 85 1634
|
|
||||||
1757 bf 19 85 1654 1757 bf 20 85 1673 1757 bf 0.962857 0.428571 0.0342857 c 19 85 1693 1757 bf 20 85 1712 1757 bf 19 85 1732 1757 bf 20 85 1751 1757 bf 19 85 1771 1757 bf 20 85 1790 1757 bf 19 85 1810 1757 bf 20 85 1829 1757 bf 0.969048 0.390476
|
|
||||||
0.0285714 c 19 85 1849 1757 bf 20 85 1868 1757 bf 19 85 1888 1757 bf 20 85 1907 1757 bf 19 85 1927 1757 bf 20 85 1946 1757 bf 19 85 1966 1757 bf 20 85 1985 1757 bf 19 85 2005 1757 bf 20 85 2024 1757 bf 0.975238 0.352381 0.0228571 c 19 85 2044 1757
|
|
||||||
bf 20 85 2063 1757 bf 19 85 2083 1757 bf 20 85 2102 1757 bf 19 85 2122 1757 bf 20 85 2141 1757 bf 19 85 2161 1757 bf 20 85 2180 1757 bf 0 0.513 0.820333 c 20 86 249 1842 bf 0 0.783 0.983667 c 19 86 269 1842 bf 0.145 0.841667 0.853333 c 20 86 288
|
|
||||||
1842 bf 0.29 0.873333 0.706667 c 19 86 308 1842 bf 0.3625 0.889167 0.633333 c 20 86 327 1842 bf 0.435 0.905 0.56 c 19 86 347 1842 bf 0.5075 0.920833 0.486667 c 20 86 366 1842 bf 0.54375 0.92875 0.45 c 19 86 386 1842 bf 0.58 0.936667 0.413333 c 20
|
|
||||||
86 405 1842 bf 0.61625 0.944583 0.376667 c 19 86 425 1842 bf 0.6525 0.9525 0.34 c 20 86 444 1842 bf 0.68875 0.960417 0.303333 c 19 86 464 1842 bf 0.725 0.968333 0.266667 c 20 86 483 1842 bf 0.76125 0.97625 0.23 c 19 86 503 1842 bf 20 86 522 1842 bf
|
|
||||||
0.7975 0.984167 0.193333 c 19 86 542 1842 bf 0.83375 0.992083 0.156667 c 20 86 561 1842 bf 19 86 581 1842 bf 0.87 1 0.12 c 20 86 600 1842 bf 19 86 620 1842 bf 0.87619 0.961905 0.114286 c 20 86 639 1842 bf 20 86 659 1842 bf 0.882381 0.92381 0.108571
|
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||||||
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|
||||||
16350 3300 l 16350 4125 l 16425 4125 l 16425 3300 l 16650 3300 l
|
|
||||||
16650 4125 l
|
|
||||||
17700 4125 l gs col0 s gr
|
|
||||||
% Polyline
|
|
||||||
n 17700 4125 m 18600 4125 l 18600 3300 l 18750 3300 l 18750 4125 l 18900 4125 l
|
|
||||||
18900 3300 l 18975 3300 l 18975 4125 l 19200 4125 l 19200 3300 l
|
|
||||||
19350 3300 l 19350 4125 l 19425 4125 l 19425 3300 l 19650 3300 l
|
|
||||||
19650 4125 l
|
|
||||||
20700 4125 l gs col0 s gr
|
|
||||||
% Polyline
|
|
||||||
n 3450 4125 m 3600 4125 l 3600 3300 l 3750 3300 l 3750 4125 l 3900 4125 l
|
|
||||||
3900 3300 l 3975 3300 l 3975 4125 l 4200 4125 l 4200 3300 l
|
|
||||||
4350 3300 l 4350 4125 l 4425 4125 l 4425 3300 l 4650 3300 l
|
|
||||||
4650 4125 l
|
|
||||||
5700 4125 l gs col0 s gr
|
|
||||||
% Polyline
|
|
||||||
n 3450 2700 m 3600 2700 l 3600 1875 l 3750 1875 l 3750 2700 l 3900 2700 l
|
|
||||||
3900 1875 l 3975 1875 l 3975 2700 l 4200 2700 l 4200 1875 l
|
|
||||||
4350 1875 l 4350 2700 l 4425 2700 l 4425 1875 l 4650 1875 l
|
|
||||||
4650 2700 l 4950 2700 l 4950 1875 l 5100 1875 l 5100 2700 l
|
|
||||||
5175 2700 l 5175 1875 l 5475 1875 l 5475 2700 l 5700 2700 l
|
|
||||||
5700 1875 l 5925 1875 l 5925 2700 l 6000 2700 l 6000 1875 l
|
|
||||||
6300 1875 l 6300 2700 l
|
|
||||||
6600 2700 l gs col0 s gr
|
|
||||||
% Polyline
|
|
||||||
n 6450 2700 m 6600 2700 l 6600 1875 l 6750 1875 l 6750 2700 l 6900 2700 l
|
|
||||||
6900 1875 l 6975 1875 l 6975 2700 l 7200 2700 l 7200 1875 l
|
|
||||||
7350 1875 l 7350 2700 l 7425 2700 l 7425 1875 l 7650 1875 l
|
|
||||||
7650 2700 l 7950 2700 l 7950 1875 l 8100 1875 l 8100 2700 l
|
|
||||||
8175 2700 l 8175 1875 l 8475 1875 l 8475 2700 l 8700 2700 l
|
|
||||||
8700 1875 l 8925 1875 l 8925 2700 l 9000 2700 l 9000 1875 l
|
|
||||||
9300 1875 l 9300 2700 l
|
|
||||||
9600 2700 l gs col0 s gr
|
|
||||||
% Polyline
|
|
||||||
n 9450 2700 m 9600 2700 l 9600 1875 l 9750 1875 l 9750 2700 l 9900 2700 l
|
|
||||||
9900 1875 l 9975 1875 l 9975 2700 l 10200 2700 l 10200 1875 l
|
|
||||||
10350 1875 l 10350 2700 l 10425 2700 l 10425 1875 l 10650 1875 l
|
|
||||||
10650 2700 l 10950 2700 l 10950 1875 l 11100 1875 l 11100 2700 l
|
|
||||||
11175 2700 l 11175 1875 l 11475 1875 l 11475 2700 l 11700 2700 l
|
|
||||||
11700 1875 l 11925 1875 l 11925 2700 l 12000 2700 l 12000 1875 l
|
|
||||||
12300 1875 l 12300 2700 l
|
|
||||||
12600 2700 l gs col0 s gr
|
|
||||||
% Polyline
|
|
||||||
n 12450 2700 m 12600 2700 l 12600 1875 l 12750 1875 l 12750 2700 l 12900 2700 l
|
|
||||||
12900 1875 l 12975 1875 l 12975 2700 l 13200 2700 l 13200 1875 l
|
|
||||||
13350 1875 l 13350 2700 l 13425 2700 l 13425 1875 l 13650 1875 l
|
|
||||||
13650 2700 l 13950 2700 l 13950 1875 l 14100 1875 l 14100 2700 l
|
|
||||||
14175 2700 l 14175 1875 l 14475 1875 l 14475 2700 l 14700 2700 l
|
|
||||||
14700 1875 l 14925 1875 l 14925 2700 l 15000 2700 l 15000 1875 l
|
|
||||||
15300 1875 l 15300 2700 l
|
|
||||||
15600 2700 l gs col0 s gr
|
|
||||||
% Polyline
|
|
||||||
n 15450 2700 m 15600 2700 l 15600 1875 l 15750 1875 l 15750 2700 l 15900 2700 l
|
|
||||||
15900 1875 l 15975 1875 l 15975 2700 l 16200 2700 l 16200 1875 l
|
|
||||||
16350 1875 l 16350 2700 l 16425 2700 l 16425 1875 l 16650 1875 l
|
|
||||||
16650 2700 l 16950 2700 l 16950 1875 l 17100 1875 l 17100 2700 l
|
|
||||||
17175 2700 l 17175 1875 l 17475 1875 l 17475 2700 l 17700 2700 l
|
|
||||||
17700 1875 l 17925 1875 l 17925 2700 l 18000 2700 l 18000 1875 l
|
|
||||||
18300 1875 l 18300 2700 l
|
|
||||||
18600 2700 l gs col0 s gr
|
|
||||||
% Polyline
|
|
||||||
n 18450 2700 m 18600 2700 l 18600 1875 l 18750 1875 l 18750 2700 l 18900 2700 l
|
|
||||||
18900 1875 l 18975 1875 l 18975 2700 l 19200 2700 l 19200 1875 l
|
|
||||||
19350 1875 l 19350 2700 l 19425 2700 l 19425 1875 l 19650 1875 l
|
|
||||||
19650 2700 l 19950 2700 l 19950 1875 l 20100 1875 l 20100 2700 l
|
|
||||||
20175 2700 l 20175 1875 l 20475 1875 l 20475 2700 l 20700 2700 l
|
|
||||||
20700 1875 l 20925 1875 l 20925 2700 l 21000 2700 l 21000 1875 l
|
|
||||||
21300 1875 l 21300 2700 l 21600 2700 l 21600 1875 l 21900 1875 l
|
|
||||||
21900 2700 l
|
|
||||||
22050 2700 l gs col0 s gr
|
|
||||||
/Times-Roman ff 450.00 scf sf
|
|
||||||
6975 7800 m
|
|
||||||
gs 1 -1 sc (Number of frames) col0 sh gr
|
|
||||||
/Times-Roman ff 450.00 scf sf
|
|
||||||
15975 7800 m
|
|
||||||
gs 1 -1 sc (Number of frames) col0 sh gr
|
|
||||||
/Times-Roman ff 450.00 scf sf
|
|
||||||
11325 9150 m
|
|
||||||
gs 1 -1 sc (Number of triggers) col0 sh gr
|
|
||||||
/Times-Roman ff 240.00 scf sf
|
|
||||||
5325 4950 m
|
|
||||||
gs 1 -1 sc (Readout) col0 sh gr
|
|
||||||
/Times-Roman ff 450.00 scf sf
|
|
||||||
825 4125 m
|
|
||||||
gs 1 -1 sc (Detection time) col0 sh gr
|
|
||||||
/Times-Roman ff 450.00 scf sf
|
|
||||||
825 5550 m
|
|
||||||
gs 1 -1 sc (Dead time) col0 sh gr
|
|
||||||
/Times-Roman ff 450.00 scf sf
|
|
||||||
825 2700 m
|
|
||||||
gs 1 -1 sc (External gate) col0 sh gr
|
|
||||||
% here ends figure;
|
|
||||||
$F2psEnd
|
|
||||||
rs
|
|
||||||
showpage
|
|
||||||
Some files were not shown because too many files have changed in this diff Show More
Reference in New Issue
Block a user