Sun Microsystem and Scientific Research - SunStudio, Sun
Transcript of Sun Microsystem and Scientific Research - SunStudio, Sun
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Sun Microsystem and Scientific Research - SunStudio, Sun Performance Library and StarOfficeNJ Governor's School 2007Dr. Joseph J. Trout, Ph.D.Senior Systems Engineer, Sun MicrosystemsSolaris Adoption TeamAdjunct Professor, Physics, Drexel University
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Agenda
• StarOffice 8 Overview• SunStudio Overview• Sun Performance Overview• StarOffice Spreadsheet and Data Modeling• Fast Fourier Transform – Performance Library• Wavelets – Sun Studio
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StarOffice Quick Description • Full featured office suite –
Spreadsheet, Word Processor, Presentation
• Read, edit, and create MS Office files
• Lower cost than alternatives> No Cost Licensing for Education
and Research.• Familiar and easy to use• Create PDF, Flash and HTML• Multi-platform: runs on Solaris,
Linux and Windows• Available in 15 languages• Based on OpenOffice.org open
source project• Excellent Equation Editor
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StarOffice Downloading
• How to Get StarOffice 8> Students, Researchers, and Faculty can download StarOffice for Free!> Register and download for Windows, Linux, Solaris.> Web Site:
http://www.sun.com/products-n-solutions/edu/solutions/staroffice.html
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Equation Editor:
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Equation Editor:
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Sun Studio Software Overview
• Record-setting parallelizing C/C++/Fortran Compilers> Improved GCC compatibility
• NetBeans-based IDE
• Stable, Scriptable, Multilingual Debugger (dbx)
• Memory Debugger- leak, access, usage (RTC)
• Application Profiling Tools (Performance Analyzer)
• Multi-core Optimizations, Multithreaded High Performance Libraries
• OpenMP v2.5 API Support
• Multithreading Tools
• SPARC (Solaris OS) , x86/x64 (Solaris & Linux OSs)
FREE
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Take the Next Step
http://developers.sun.com/sunstudio
Download your FREE unrestricted copy of Sun Studio 12 today
Downloads, forums, technical articles, code samples, and more...
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Sun Studio
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Sun Performance Library
About the Sun Performance Library:
●Also available on several Linux operating environments. ●Sun Performance Library is a set of optimized, high-speed mathematical subroutines for solving linear algebra and other numerically intensive problems. ●Sun Performance Library is based on a collection of public domain subroutines available from Netlib at http://www.netlib.org. ●Sun has enhanced these public domain subroutines and bundled them as the Sun Performance Library.
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Sun Performance LibrarySun Performance Library contains enhanced versions of the following standard libraries:
●LAPACK version 3.0 ● for solving linear algebra problems.
●BLAS1 (Basic Linear Algebra Subprograms) ● for performing vector-vector operations.
●BLAS2 ● for performing matrix-vector operations.
●BLAS3 ● for performing matrix-matrix operations.
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Sun Performance Library
Sun Performance Library includes the following additional routines:
●Fast Fourier transform (FFT) routines ●Direct Sparse Solver routines ●Interval BLAS routines
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Using StarOffice Spreadsheet to Model Data
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Using StarOffice Spreadsheet to Model Data
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Using StarOffice Spreadsheet to Model Data
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Using StarOffice Spreadsheet to Model Data
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Using StarOffice Spreadsheet to Model Data
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Using StarOffice Spreadsheet to Model Data
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Using StarOffice Spreadsheet to Model Data
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Using StarOffice Spreadsheet to Model Data
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Using StarOffice Spreadsheet to Model Data
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0 50 100 150 200 250 300 350 40010
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Average Temperature Vs. Day
Fit
Avg
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Time ( Day )
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( o
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Using StarOffice Spreadsheet to Model Data
StarOffice has data analysis functions and trig functions such as average, standard deviation, sin, cos, tan, etc.
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Using StarOffice Spreadsheet to Model Data
StarOffice has data analysis functions and trig functions such as average, standard deviation, sin, cos, tan, etc.
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0 50 100 150 200 250 300 350 40010
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Time ( Day )
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Using StarOffice Spreadsheet to Model Data
We can use StarOffice to fit a model to the data.
y t =A sin 2T tT F t =T F aveT F amplitude sin 2T t
T F=Average Temperature of the DayT F ave=Yearly Temperature Average
T Famplitude=AmplitudeT=Period= phase shift
t=Time In day of the year
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Using StarOffice Spreadsheet to Model Data
We can use StarOffice to fit a model to the data.
T F t =T F aveT F amplitude sin 2T tT F t =55.82oF24oF sin 2
365.25dayst−1.9
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0 50 100 150 200 250 300 350 40010
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Average Temperature Vs. Day
Fit
Avg
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Time ( Day )
Tem
pera
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( o
F )
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Using StarOffice Spreadsheet to Model Data
Let's see how we did. Let's predict today's average temperature.
Today is July 18, 2007 and is the 199th day of the year.
T F t =T F aveT F amplitudesin 2T tT F t =55.82o F24oF sin 2
365.25dayst−1.9
T F t =55.82oF24o F sin 2365.25days
199days−1.9=79.82o F
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Using StarOffice Spreadsheet to Model Data
Just for the record:
●This was a simplified example of the process.●We did not really “worry” about the leap years.●You would not just “eye” the graph to construct the model.
This simplified example was to give you an idea of how StarOffice can be useful to you.
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Fourier SeriesJean Baptiste Joseph FourierBorn: 21 March 1768 in Auxerre, Bourgogne, FranceDied: 16 May 1830 in Paris, France
According to Fourier, ANY periodic function can be represented as a sum of sine and cosine terms.
y t =∑n[An sin 2 f n t Bncos 2 f n t ]
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Fourier Series – Square Wave
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2-1
-0.75
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-0.25
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Square Wave
Square
time(s)
y(t)
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Fourier Series – Square Wave
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2-1
-0.75
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Fourier Series
Square
Fo
3Fo
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Fourier
time(s)
y(t)
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Fourier Series – Square Wave
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2-1
-0.75
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Fourier Series
Square
Fo
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Fourier
time(s)
y(t)
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Fourier Series – Square Wave
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2-1
-0.75
-0.5
-0.25
0
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1
Fourier Series
Square
Fo
3Fo
5Fo
7Fo
9Fo
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21Fo
23Fo
Fourier
time(s)
y(t)
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Fourier Series – Square Wave
0 0.25 0.5 0.75 1 1.25 1.5 1.75 2-1
-0.75
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Fourier SeriesSquare
Fo
3Fo
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Fourier
time(s)
y(t)
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We can also use Fourier Analysis to find out what frequencies make up a Wave or Signal.
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We can also use Fourier Analysis to find out what frequencies make up a Wave or Signal.
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Hourly Average Temperature
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#include <sunperf.h>... ezffti(n, wsave); ezfftf(n, r, azero, a, b, wsave);...
cc test_fft_perf_file.c -lm -v -xlic_lib=sunperf -o test_fft_perf_file
Temperature – Power Spectrum
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n (input) Number of Data Points.
r (input) A real array of length n containing the sequence to be transformed. On exit, r is unchanged.
azero (output) On exit, the sum from i=1 to i=n of r(i)/n, i.e. The average of the signal. a (input/output)
On entry, arrays that contain the remaining Fourier coefficients. The amplitude of the cosine waves.
b (input/output) On entry, arrays that contain the remaining Fourier coefficients. The Amplitude of the sine
waves.
wsave (input) On entry, an array with dimension of at least (3 *N + 15), initialized by EZFFTI. A working array.
Temperature – Power Spectrum
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First, lets to some test, to make sure our FFT works.
Temperature – Power Spectrum
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Two Frequency Test – Power Spectrum
y t =11.0 sin 21.0 s−1 t 2.0 sin 2365.25 s−1 t
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Two Frequency Test – Power Spectrum
azero: 16.999989i= 28 f= 1.00 a= 0.000003 b= 11.000760 A= 11.000760 i= 10227 f= 365.25 a= -0.000081 b= 2.000098 A= 2.000098
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Three Frequency Test – Power Spectrum
y t =11.0sin 21.0 s−1 t 2.0 sin 2365.25 s−1 t 5.0 sin 20.5 s−1 t
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azero: 16.999989 i= 14 f= 0.50 a= 0.000004 b= 5.000147 A= 5.000147 i= 28 f= 1.00 a= 0.000003 b= 11.000760 A= 11.000760 i= 10227 f= 365.25 a= -0.000081 b= 2.000098 A= 2.000098
Three Frequency Test – Power Spectrum
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Three Frequency Test – Power Spectrum
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azero: 17.0000 i= 13 f= 0.464286 a= -1.650544 b= -0.000019 A= 1.650544 i= 14 f= 0.500000 a= 0.000134 b= 2.500073 A= 2.500073 i= 15 f= 0.535714 a= 1.536705 b= -0.000030 A= 1.536705 i= 28 f= 1.000000 a= 0.000122 b= 11.000760 A= 11.000760
i= 10227 f= 365.250000 a= -0.000020 b= 1.000049 A= 1.000049
Three Frequency Test – Power Spectrum
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Three Frequency Test – Problem With FFT
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Temperature – Power Spectrum
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Temperature – Power Spectrum
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Temperature – Power Spectrumazero = 17.724915 i= 21 f= 0.750000 a= -0.472239 b= 1.007747 A= 1.112908 i= 22 f= 0.785714 a= -0.073951 b= 1.434289 A= 1.436194 i= 23 f= 0.821429 a= 0.190072 b= 1.979196 A= 1.988302 i= 24 f= 0.857143 a= 1.106927 b= 1.899358 A= 2.198374 i= 25 f= 0.892857 a= 1.640487 b= 1.510557 A= 2.230018 i= 26 f= 0.928571 a= 2.265698 b= 0.372863 A= 2.296174 i= 27 f= 0.964286 a= 2.217068 b= -0.963278 A= 2.417291 i= 28 f= 1.000000 a= -8.963787 b= 1.290257 A= 9.056171 i= 29 f= 1.035714 a= 0.669938 b= -2.489800 A= 2.578356 i= 30 f= 1.071429 a= 0.745567 b= -1.862980 A= 2.006630 i= 31 f= 1.107143 a= 0.381943 b= -1.296685 A= 1.351766 i= 32 f= 1.142857 a= 0.065296 b= -0.882051 A= 0.884465 i= 10215 f= 364.821442 a= 0.222982 b= 0.833274 A= 0.862593 i= 10216 f= 364.857147 a= 0.079152 b= -0.833938 A= 0.837686 i= 10217 f= 364.892853 a= -0.447426 b= 1.263199 A= 1.340098 i= 10218 f= 364.928589 a= -0.205658 b= -1.456414 A= 1.470863 i= 10219 f= 364.964294 a= 0.776877 b= 0.367377 A= 0.859362 i= 10220 f= 365.000000 a= -0.343463 b= 0.867783 A= 0.933281
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Three Frequency Test – Problem With FFT
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Enter Wavelets ....
Daub 20
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Enter Wavelets .... Some Applications of Wavelets:Some Applications of Wavelets:
●Jean Morlet (1984), a geologist analyzing seismic signals, developed what are now known as 'Morlet wavelets”.
●Wavelets are central to the new JPEG-2000 digital image standard.
●WSQ method that the FBI uses to compress its fingerprint database.
●De-noising data.
●Image Compression.
●Data Analysis
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Enter Wavelets .... Some Wavelets:Some Wavelets:
Haar Wavelet
Sinc Wavelet
Daubechies Wavelet daub4
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Enter Wavelets ....
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Enter Wavelets ....
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Temperature – Power Spectrum
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Temperature – Wavelets
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