C++ for Scientists - Technische Universität Dresden

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248 CHAPTER 11. C++ LIBRARIES FOR SCIENTIFIC COMPUTING #include #include #include #include #include #include ... int main () { int n=100; // Define a real n x n matrix glas::dense matrix< double > matrix( n, n ) ; // Define a complex n vector glas::dense vector< std::complex > eigval( n ) ; // Fill the matrix ... // Call LAPACK routine DGEES for computing the eigenvalue Schur form. // We create workspace for best performance. bindings::lapack::gees( matrix, eigval, bindings::lapack::optimal workspace() ) ; ... } Figure 11.4: Example for LAPACK bindings and matrix bindings traits
11.4. MATRIX TEMPLATE LIBRARY 249 coordinate format. The matrix is stored column wise. The template argument 1 indicates that row and column numbers start from one, which is required for the Fortran 90 code MUMPS. Finally, the last argument indicates that the row and column indices are stored in type int, which is also a requirement for the Fortran 90 interface. The solve consists of three phases : (1) the analysis phase, which only needs the matrix’ integer data, (2) the factorization phase, where also the numerical values are required and (3) the solution phase (or backtransformation), where the right-hand side vector is passed on. The included files contain the specializations of the dense matrix and sparse matrix traits for uBLAS and the MUMPS bindings. 11.4 Matrix Template Library 11.5 Blitz++ TODO: We can ask Todd to write something himself — Peter 11.6 Graph Libraries TODO: Few introducing words from Peter 11.6.1 Boost Graph Library TODO: I can write something about it — Peter 11.6.2 LEDA LEDA implements advanced container types and combinatorial algorithms, especially graph algorithms. Containers are parameterized by element type and implementation strategies. Algorithms in general work only with the data structure of the library itself. 11.7 Geometric Libraries TODO: Few introducing words from René and Philipp 11.7.1 CGAL TODO: Ask Sylvain to write something? Or can René and Philipp write it? CGAL implements generic classes and procedures for geometric computing. The data structure complexity is at a very high level.
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Technische Universität Dresden Fak
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Contents I Understanding C++ 7 Intr
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CONTENTS 5 10.5 Unix and Linux . .
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Part I Understanding C ++ 7
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10 C ++ was not a reliable computer
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12 CHAPTER 1. GOOD AND BAD SCIENTIF
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20 CHAPTER 2. C++ BASICS • std::c
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22 CHAPTER 2. C++ BASICS In the fir
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24 CHAPTER 2. C++ BASICS int main (
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26 CHAPTER 2. C++ BASICS Operator A
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28 CHAPTER 2. C++ BASICS The bitwis
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30 CHAPTER 2. C++ BASICS cast (type
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32 CHAPTER 2. C++ BASICS complicate
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34 CHAPTER 2. C++ BASICS } else if
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36 CHAPTER 2. C++ BASICS eps/= 2.0;
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38 CHAPTER 2. C++ BASICS for (...;
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40 CHAPTER 2. C++ BASICS 2.6.1 Inli
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42 CHAPTER 2. C++ BASICS To make su
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44 CHAPTER 2. C++ BASICS float divi
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46 CHAPTER 2. C++ BASICS The first
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48 CHAPTER 2. C++ BASICS #ifndef at
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50 CHAPTER 2. C++ BASICS float A[7]
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52 CHAPTER 2. C++ BASICS Encapsulat
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54 CHAPTER 2. C++ BASICS As a pract
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56 CHAPTER 2. C++ BASICS A function
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58 CHAPTER 2. C++ BASICS Now that t
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60 CHAPTER 2. C++ BASICS we need sm
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62 CHAPTER 2. C++ BASICS 2.12 Exerc
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64 CHAPTER 2. C++ BASICS 2.13 Opera
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66 CHAPTER 3. CLASSES apply symm bl
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68 CHAPTER 3. CLASSES int main() {
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70 CHAPTER 3. CLASSES class solver
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72 CHAPTER 3. CLASSES • Compilers
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74 CHAPTER 3. CLASSES a real number
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76 CHAPTER 3. CLASSES } return ∗t
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78 CHAPTER 3. CLASSES This mechanis
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80 CHAPTER 3. CLASSES One could not
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82 CHAPTER 3. CLASSES class matrix
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84 CHAPTER 3. CLASSES Approach 3: R
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86 CHAPTER 3. CLASSES of the decrem
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88 CHAPTER 3. CLASSES There are two
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90 CHAPTER 4. GENERIC PROGRAMMING }
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92 CHAPTER 4. GENERIC PROGRAMMING c
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94 CHAPTER 4. GENERIC PROGRAMMING A
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100 CHAPTER 4. GENERIC PROGRAMMING
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150 CHAPTER 5. META-PROGRAMMING 5.3
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162 CHAPTER 5. META-PROGRAMMING num
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188 CHAPTER 6. INHERITANCE { } std:
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190 CHAPTER 6. INHERITANCE 6.4.1 Ca
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192 CHAPTER 6. INHERITANCE dbp= sta
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194 CHAPTER 6. INHERITANCE Our comp
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196 CHAPTER 6. INHERITANCE Another
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Page 289 and 290: 15.10. ANWENDUNG MTL4 AUF TYPEN MIT
Page 291 and 292: Acknowledgement Chapter 16 Special
Page 293: Bibliography [AG04] David Abrahams
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