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- 1. Scilab The Free Numerical Computation Software Dr. Claude Gomez Scilab Enterprises CEO Scilab Week, MMU, Melaka, 9 June 2014 Malaysia Scilab Users Seminar, UPM, 10 June 2014
- 2. History
- 3. 1 - Scilab made by Inria 2003 – 2007: Scilab Consortium phase 1 (Inria) 2008 – 2012: Scilab Consortium phase 2 (DIGITEO Foundation) 2008: Free Scilab (GPL compatible) 2009: Xcos industrialization 1980: first MATLAB 1980 – 1990: BASILE software at Inria / Simulog 2010: Transfer to Scilab Enterprises Company 2012: Exclusivity of trademark, development and publishing of Scilab 1990 – 2003: Open Source Scilab (Research) Scilab freely distributed on the Net in 1994 2 - Scilab industrialization 3 – Scilab Enterprises
- 4. Scilab Software
- 5. Scilab Distribution Scilab Powerful Computation Engine Xcos Dynamic Systems Modeling and Simulation ATOMS (AuTomatic mOdules Management for Scilab) Modules Management
- 6. Scilab: the Free and Open Source Numerical Software High level programming language Hundreds of mathematical functions Advanced data structures & user-defined data types Computation engine easy to embed into applications Open System: extended capabilities with professional & specialized modules
- 7. Scilab: Key Scientific Features Mathematical functions Matrix computation, sparse matrices Polynomials and rational functions Simulation: ODE and DAE Classic and robust control, LMI optimization Differentiable and non differentiable optimization • Interpolation, approximation • Signal processing • Statistics • Xcos: hybrid dynamical systems modeler and simulator More than 2,000 functions:
- 8. Xcos Dynamic Systems Modeling & Simulation A user-friendly GUI-based editor for modeling and simulating hybrid dynamical systems as block diagrams: model construction, edition and customization Integrated Modelica Compiler Freely Available and distributed with Scilab
- 9. Xcos main features • Graphically model, compile, and simulate dynamical systems • Combine continuous and discrete-time behaviors in the same model • Select model elements from Palettes of standard blocks • Program new blocks in C, Fortran, or Scilab language • HDF5 standard which has been chosen to guarantee data exchanges between Scilab and Xcos Editor • Free Modelica compiler which enables the simulation of implicit diagrams • Graphical user interface based on JGraphX
- 10. Coselica external module for multiphysics simulation 200 acausal blocks (in Modelica language): • Analogical electrical systems. • Mechanical systems: 1-D (translations, rotations) and 2-D planar. • Thermic exchanges 0-D/1-D.
- 11. User-friendly Environment: easy to program Variable BrowserFile Browser Command History Console
- 12. 2-D/3-D VisualizationEditor Embedded Help External Modules Manager Variable Editor
- 13. Graphical User Interfaces Great number of functionalities to create Graphical User Interfaces Accessible from Scilab Interaction between GUI and plots Fully integrated in OS environment
- 14. Latest release: Scilab 5.5.0 (April 2014) What’s new? Graphics: speed (Matplot), datatips, interactions, 3-D lightning Graphical User Interface: new UI Controls Remote file Access (sciCurl) Scilab/MPI (Message Passing Interface) Java Integration (JIMS) HDF5 management Localization of external modules Works under Windows XP/Vista/7/8, GNU/Linux and Mac OS X, 32 bits and 64 bits
- 15. Links with other language and software Management of C, C++, Fortran, Java, Python, .net... from Scilab: JIMS module for Java Available as a computing engine with C, C++, Java, Python, .net API... Links with: – Excel®, COM/DCOM® (Microsoft), – Labview® (National Instruments), – Isight® (Dassault Systèmes), – Alternova® (Eurodecision), – modeFRONTIER® (ESTECO), – etc.
- 16. Scilab Future
- 17. Scilab: Main Development Axis Covering strategic fields From HPC to multicore: Scilab 6 with new kernel Embedded systems: C code generation with Xcos Extending Scilab & Xcos Interface with main simulation software Dedicated sectorial modules
- 18. New kernel ready for: • HPC: multithreading, parallelism detection,… • Code generation • Debugging Scilab for the Future: Scilab 6 Language: ascendant compatibility ensured Memory: • Scilab memory is only limited by hardware • Dynamic memory allocation New parser: • Native multi dimensional types and lists • Error management
- 19. Scilab Community
- 20. Scilab in the World About 100,000 monthly downloads from 150 countries on www.scilab.org
- 21. Main French Scilab Users Main industrial sectors Aerospace: Airbus Group, CNES, Safran, Dassault Aviation Transportation: Renault, LEONI, Siemens, Alstom, Faurecia Mechanical: ArcelorMittal, Aperam Energy: EDF, RTE, CEA, Total, IFP Defence: DGA, THALES Health: SANOFI Telecom: Orange Earth Science: BRGM, Eramet Academics, education High schools Engineering schools Universities In red: Scilab Enterprises customers
- 22. Organization
- 23. Company created in June 2010 from Inria The official structure resulting of the Scilab Consortium which had developed Scilab since 2003 Jacques Dhellemmes President Claude Gomez CEO Christian Saguez Vice President Denis Ranque Board Administrator A high level team who has extensive knowledge of Scilab software and its environment and benefits directly from the Scilab developers expertise. Scilab Enterprises relies on the historical and technical knowledge of the Scilab Consortium which develops Scilab software since 2003. Scilab Enterprises
- 24. Activities Scilab = Free software funding Scilab Enterprises • Services: – Consulting – Migrations to Scilab – Specific in-house versions – Development and optimization of applications • Products: – Training and support – Scilab LTS (« Long Term Support ») – External commercial modules development publishing
- 25. International Partnership Committee President: Gérard Poirier (Dassault Aviation) The International Scilab User’s Group Role • Management of Scilab users and developers • Promotion of Scilab • Roadmap and external modules proposals • All kinds of exchanges around Scilab Creation of regional groups
- 26. Extending Scilab
- 27. What does “free” means Scilab Enterprises Commitment Mission given by Inria The Scilab distribution is and will remain Free and Open Source The Scilab distribution = what is downloaded from “www.scilab.org” • Mathematical functions • Language • Graphics, GUI • Xcos • ATOMS Scilab license: CeCILL, GPL compatible Scilab includes GPL code =
- 28. External modules: Open Source or not Free or commercial EM EM Scilab: Free and Open Source ...
- 29. Graphics GUI Fortran and C code (800,000 lines) Scilab code (150,000 lines) Computation libraries Parser Interpreter API Documentation Scilab internals User External Module External Module External Module 700 functions 1300 functions XML JAVA External Module
- 30. Make a complete application using the good language Fortran, C, C++ Scilab Code (including UI Control) Java Scilab API:create a C gateway JIMS = Java Interaction Mechanism in Scilab You can use your own existing code without modifying it
- 31. External modules EM EM Scilab ATOMS system ATOMS: the external module manager Advantages of ATOMS modules: Independent of Scilab releases issues: easy update Works on all architectures (Fortran, C or C++ code compiled on Windows, Mac OS X, Linux) Handling of dependencies between modules ...
- 32. User implementation Organize the Scilab module according to instructions: http://atoms.scilab.org The module can include: Scilab, Fortran, C, C++, Fortran code, XML help files Upload source of Scilab module to ATOMS Scilab site Module available from Scilab “ATOMIZATION” by Scilab Enterprises For Companies: an internal ATOMS server can be installed Fast deployment and easy maintenance
- 33. ATOMS modules are loaded and installed interactively from Scilab from the “Applications” menu
- 34. Why Using Scilab?
- 35. Scilab Advantages Scilab is free software – Easy to install everywhere – Large community of users But freedom is not enough A friendly software with a lot of functionalities – Included toolboxes for most of applied mathematics – Own dedicated OpenGL graphics – Xcos comparable to Simulink – Easy to add interactively external module A comprehensive organization takes care of Scilab – Scilab developed professionally by Scilab Enterprises – Supports and services – IPC Scilab Users Group with important Companies
- 36. How Using Scilab?
- 37. Scilab as a Powerful Graphical Calculator Matrix computations: A=rand(1000,1000); b=rand(1000,1); x=Ab; norm(A*x-b) vp=spec(A); 2D plots: plot(real(vp),imag(vp),"*r"); x=linspace(-%pi,%pi,1000); clf; plot(x,sin(x),"r",x,cos(x),"g"); 3D curve: k=tan(%pi/27);t=linspace(-40,40,1000); x=cos(t)./cosh(k*t); y=sin(t)./cosh(k*t); z=tanh(k*t); clf; param3d(x,y,z);
- 38. 3D beautiful surface: 90,000 points function z=f(x,y) // function defining the surface z=exp(exp(-x^2-y^2)*(exp(cos(x^2+y^2)^20)+.. 8*sin(x^2+y^2)^20+2*sin(2*(x^2+y^2))^8)); endfunction x=linspace(-1.5,1.5,300); y=linspace(-1.5,1.5,300); z=feval(x,y,f); f=scf(0); f.color_map=rainbowcolormap(32); surf(x,y,z); // plot the surface e=gce(); e.color_mode=-1; a=gca(); a.box="off"; a.axes_visible=["off","off","off"]; a.x_label.visible="off"; a.y_label.visible="off"; a.z_label.visible="off";
- 39. Example: we want to plot data in 2D with color according to the value of the points, modify data and plot again Data are given in text file mandel.txt (2 million points, 19 Mb). 1. Put data into Scilab matrix M: M=fscanfMat("mandel.txt"); 2. Open graphics window, choose beautiful colormap and plot points according to its value: f=scf(1); f.color_map = rainbowcolormap(256); Matplot(M); 3. Discard points with value between 50 and 210 and plot in another window: M(find(50<M & M<210))=1; f=scf(2); f.color_map = rainbowcolormap(256); Matplot(M); A very usual use: 1. Get data. 2. Plot Data. 3. Modify data and plot again.
- 40. First plot Second plot Plotting is instantaneous:
- 41. To read text file takes time: M=fscanfMat("mandel.txt"); // 5 seconds 1. Save matrix into binary SOD (Scilab Open Data) based on HDF5 standard: save("mandel.sod","M"); // 0.04 second 2. Loading into Scilab is now very fast: load("mandel.sod"); // 0.1 second
- 42. Programming in Scilab Friendly editor, powerful mathematical language close to natural language: function u=Newton(f,fprim,u0,eps) u=u0; while abs(f(u))>eps then fp=fprim(u); if abs(fp)<=%eps then error("singularity") end u=u-f(u)/fp end endfunction About 1,300 Scilab functions are written in Scilab
- 43. function x=Gauss(A,b,eps) n=size(b,"*"); x=b; for k=1:n-1 // when the diagonal term is close to 0 // searching for a non zero element in the column if abs(A(k,k))<eps then kk=find(abs(A(k:n,k))>eps); if kk==[] then disp(“Non invertible Matrix"); return; end // exchanging lines k and kk in A and in b kk=kk(1); lignek=A(k,:); A(k,:)=A(kk,:); A(kk,:)=lignek; lignek=b(k); b(k)=b(kk); b(kk)=lignek; end // Gauss algorithm for l=k+1:n p=A(l,k)/A(k,k); for m=k:n A(l,m)=A(l,m)-A(k,m)*p; end x(l)=x(l)-x(k)*p; end end if abs(A(n,n))<eps then disp("Non invertible Matrix "); return; end // compute x x(n)=x(n)/A(n,n); for i=n-1:-1:1 s=0; for j=i+1:n s=s+A(i,j)*x(j); end x(i)=(x(i)-s)/A(i,i); end endfunction Gaussian elimination with partial pivoting: Scilab vectorized syntax
- 44. Save and load GUI as XML files : Save GUI with: saveGui(f,"mygui.xml"); Load GUI with: f=loadGui("mygui.xml"); Making easy Scilab GUI with Scilab 5.5.0 New components, speed, default look and feel of the OS
- 45. Migration from Matlab to Scilab: fast ROI Migration from Excel to Scilab: GUI, faster computations, easy deployment and maintenance, easy evolution BRGM Example 1 Scilab as a computation engine for other software: LabVIEW, iSight, ModFRONTIER,… Make complete application as Scilab modules: – Used on site for production: ARCELORMITTAL, SANOFI, SNECMA,… – For internal use: AIRBUS GROUP, BRGM, CNES, DASSAULT AVIATION, EDF… – For scientific domains: • Space mechanics: CelestLab by CNES Example 2 • Optimization platform: SOP with DASSAULT AVIATION Example 3 For Industry
- 46. Example 1: from Excel to Scilab, BRGM
- 47. Example 2: CelestLab ATOMS module for space mechanics and flight dynamics made by CNES Freely available and Open Source Used by CNES and ESA for mission analysis Library of Scilab code: functions easily re-used for making new programs
- 48. CelestLab: A free and open source Scilab library for flight dynamics CelestLab topics Topics Contents Coordinates and Frames - Change of coordinates - Dates manipulation - Change of reference frames - Orbital element transformations - Rotations and quaternions Geometry and Events - Orbital events computation - Orbital geometry Interplanetary - Interplanetary transfer - Three body analysis Models Earth motion, density models Orbit properties - Keplerian formulas - Orbit characteristics (sun synchronism, repeat orbits, frozen orbits) Relative motion Chlohessy-Wiltshire formalism Trajectory and manoeuvres - Orbit propagation (analytical) - Manoeuvre computation - Dispersion analysis Utilities - Various support functions including graphics
- 49. CelestLab: A free and open source Scilab library for flight dynamics 49 CelestLab and mission analysis practices ■Coding Scilab scripts using CelestLab is easy. This encourages people to develop their own scripts. ■CelestLab is developed by people in charge of mission analysis. It is a shared product. ■When an analysis is completed, there is an assessment on whether a part can be incorporated in CelestLab. ■CelestLab demos are a efficient solution for answering recurrent questions and can easily modified if needed. ■CelestLab is well documented and is more and more used as a source of information on a laptop.
- 50. CelestLab: A free and open source Scilab library for flight dynamics 50 Examples of computation made with CelestLab: 1 - Sun elevation from any location on Earth
- 51. CelestLab: A free and open source Scilab library for flight dynamics 51 2 - Sun reflection point (glint)
- 52. CelestLab: A free and open source Scilab library for flight dynamics 52 3 - Ground stations visibility
- 53. Example 3: SOP Optimization platform made with DASSAULT AVIATION OMD2 and CSDL French funded R & D projects Open Source and freely available: ATOMS module in the future Comprehensive application with GUI Library of C and Scilab code Typical example of a complete Scilab industrial application: – Friendly interactive user interface masking the complexity to the final user – Possibility to try various algorithms, to make comparisons – Possibility to add its own functions and algorithms – Visualization and interaction with graphics
- 54. Interactive Graphics User Interface Three modules: Data management Modeling Optimization Project management: Saving and loading Visualization and graphical interaction at each level
- 55. Data management Load and generate existing DOE (iSight,…) : possibility to add its own DOE generator Response simulation using external tools (openFOAM, CATIA, CCM+,…) or Scilab functions 2D visualization of factors and responses
- 56. Modeling Selection among various modelers: DACE, LOLIMOT,… Parameter configuration Multiple model management with best model selection Possibility to select points: – Learning point – Validation or points – Bad points (simulation issues,…)
- 57. Modeling: execution and 2D visualization Response: all factors, two factors Correlation
- 58. Optimization Responses coefficients setting Optimizer: – Selection between various algorithms: optim, fmincon, genetic,… – Possibility to add its own algorithm – Interactive configuration Visualization: – Optimal point – Pareto frontier – Robustness
- 59. Conclusion
- 60. Scilab is The Professional Free Software for Numerical Computation Industry, Education and Research

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