A Proposal of a Mathematical Roadmap for Scilab DRAFT - Projects

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softwares. The author compares various simple and complex problems and how theycan be approached in various languages. This work is done in the context of theNumerical Mathematical Consortium. The analysis addresses some incompatibilityissues within languages and their impact. This work is continued by Alan Edelmanand presented in ”Open Source and Traditional Technical Computing” by AlanEdelman [2].1.7 What not to doIn the past, symbolic computations were perceived as being out of the scope of Scilab,which focuses mainly on numerical computations. Whether this choice should remainin the next years is subject to discussion.TODO : finish that section.1.8 Users feedbackWhat features would users want in the coming years and for what use cases ? Anyonewilling to share his comments is invited to contact the authors of this report.1.9 Methodology used in this documentFor each mathematical problem, we analyze the following points :• what is the current state of Scilab ?• what features are to provide ?• why it fits in Scilab scope ?• is there existing library to connect to Scilab ?• is there a Scilab toolbox providing the feature ?• does Matlab provide an equivalent feature ?Detailed feature requests should be written as ”Scilab Enhancement Proposals”and not in this document.When a library is suggested for connection, we pay attention to at least thefollowing points :• license : is the license authorizes the inclusion in Scilab ?• language : is the language compatible with Scilab ?• mathematical algorithms : is the algorithm efficient, robust, fast, up-to-date ?• documentation : is the library correctly documented with respect to Scilabrequirements ?• tests : is the library tested ?10
2 Elementary and special functions• Portability and fdlibm : TODO• Missing special functions : nchoosek, binomialln, permutations, permutationsln,FresnelC, FresnelS (what for ?)• branch cuts• hypot2.1 The current stateThe elementary functions such as sin, cos, tan, asin, acos, atan, sqrt, exp, log areprovided by the compiler. Therefore, they are operating- system dependent. Forexample, we may get different results for the computation of sin(2 64 ) on Windowsand on Linux, or on Linux 32 bits and Linux 64 bits.gammainc is not in ScilabTODO : finish that section.2.2 Why it fits in Scilab scopeTODO : finish that section.2.3 Existing features in Matlab• hypot• airy• ellipj• gamma2.4 Suggested library to connectTODO : finish that section.2.5 Existing tools which may require an updateTODO : finish that section.3 Sparse linear algebra3.1 Why it fits in Scilab scopeEfficient linear algebra is the main topic in Scilab. Among other applications, sparsematrices can be used in Finite Elements computations. Large sparse matrices require11
Page 2 and 3: 4 Optimization 134.1 Why it fits in
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Page 6 and 7: UseCasesAutomotiveIndustryAerospace
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Page 20 and 21: McQueen, Donna Calhoun, Peter Bloss
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A Proposal of a Mathematical Roadmap for Scilab DRAFT - Projects

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