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FFTW

1. Introduction  
2. Tutorial  
3. FFTW Reference  
4. Parallel FFTW  
5. Calling FFTW from Fortran  
6. Installation and Customization  
7. Acknowledgments  
8. License and Copyright  
9. Concept Index  
10. Library Index   
 — The Detailed Node Listing —

Tutorial
2.1 Complex One-dimensional Transforms Tutorial  
2.2 Complex Multi-dimensional Transforms Tutorial  
2.3 Real One-dimensional Transforms Tutorial  
2.4 Real Multi-dimensional Transforms Tutorial  
2.5 Multi-dimensional Array Format  
2.6 Words of Wisdom   
Multi-dimensional Array Format
2.5.1 Row-major Format  
2.5.2 Column-major Format  
2.5.3 Static Arrays in C  
2.5.4 Dynamic Arrays in C  
2.5.5 Dynamic Arrays in C—The Wrong Way   
Words of Wisdom
2.6.1 Caveats in Using Wisdom   What you should worry about in using wisdom
2.6.2 Importing and Exporting Wisdom   I/O of wisdom to disk and other media 
FFTW Reference
3.1 Data Types   real, complex, and halfcomplex numbers
3.2 One-dimensional Transforms Reference  
3.3 Multi-dimensional Transforms Reference  
3.4 Real One-dimensional Transforms Reference  
3.5 Real Multi-dimensional Transforms Reference  
3.6 Wisdom Reference  
3.7 Memory Allocator Reference  
3.8 Thread safety   
One-dimensional Transforms Reference
3.2.1 Plan Creation for One-dimensional Transforms   Plan Creation
3.2.2 Discussion on Specific Plans  
3.2.3 Computing the One-dimensional Transform   Plan Execution
3.2.4 Destroying a One-dimensional Plan   Plan Destruction
3.2.5 What FFTW Really Computes   Definition of the DFT. 
Multi-dimensional Transforms Reference
3.3.1 Plan Creation for Multi-dimensional Transforms   Plan Creation
3.3.2 Computing the Multi-dimensional Transform   Plan Execution
3.3.3 Destroying a Multi-dimensional Plan   Plan Destruction
3.3.4 What FFTWND Really Computes   
Real One-dimensional Transforms Reference
3.4.1 Plan Creation for Real One-dimensional Transforms   Plan Creation
3.4.2 Computing the Real One-dimensional Transform   Plan Execution
3.4.3 Destroying a Real One-dimensional Plan   Plan Destruction
3.4.4 What RFFTW Really Computes   
Real Multi-dimensional Transforms Reference
3.5.1 Plan Creation for Real Multi-dimensional Transforms   Plan Creation
3.5.2 Computing the Real Multi-dimensional Transform   Plan Execution
3.5.3 Array Dimensions for Real Multi-dimensional Transforms  
3.5.4 Strides in In-place RFFTWND  
3.5.5 Destroying a Multi-dimensional Plan   Plan Destruction
3.5.6 What RFFTWND Really Computes   
Wisdom Reference
3.6.1 Exporting Wisdom  
3.6.2 Importing Wisdom  
3.6.3 Forgetting Wisdom   
Parallel FFTW
4.1 Multi-threaded FFTW  
4.2 MPI FFTW   
Multi-threaded FFTW
4.1.1 Installation and Supported Hardware/Software  
4.1.2 Usage of Multi-threaded FFTW  
4.1.3 How Many Threads to Use?  
4.1.4 Using Multi-threaded FFTW in a Multi-threaded Program  
4.1.5 Tips for Optimal Threading   
MPI FFTW
4.2.1 MPI FFTW Installation  
4.2.2 Usage of MPI FFTW for Complex Multi-dimensional Transforms  
4.2.3 MPI Data Layout  
4.2.4 Usage of MPI FFTW for Real Multi-dimensional Transforms  
4.2.5 Usage of MPI FFTW for Complex One-dimensional Transforms  
4.2.6 MPI Tips   
Calling FFTW from Fortran
5.1 Wrapper Routines  
5.2 FFTW Constants in Fortran  
5.3 Fortran Examples   
Installation and Customization
6.1 Installation on Unix  
6.2 Installation on non-Unix Systems  
6.3 Installing FFTW in both single and double precision  
6.4 gcc and Pentium hacks  
6.5 Customizing the timer  
6.6 Generating your own code   







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