FFTW 3.3.4

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FFTW User Manual Chris@19:
1 Introduction Chris@19:
2 Tutorial Chris@19:
- 2.1 Complex One-Dimensional DFTs Chris@19:
- 2.2 Complex Multi-Dimensional DFTs Chris@19:
- 2.3 One-Dimensional DFTs of Real Data Chris@19:
- 2.4 Multi-Dimensional DFTs of Real Data Chris@19:
- 2.5 More DFTs of Real Data Chris@19:
  - 2.5.1 The Halfcomplex-format DFT Chris@19:
  - 2.5.2 Real even/odd DFTs (cosine/sine transforms) Chris@19:
  - 2.5.3 The Discrete Hartley Transform Chris@19:
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3 Other Important Topics Chris@19:
- 3.1 SIMD alignment and fftw_malloc Chris@19:
- 3.2 Multi-dimensional Array Format Chris@19:
  - 3.2.1 Row-major Format Chris@19:
  - 3.2.2 Column-major Format Chris@19:
  - 3.2.3 Fixed-size Arrays in C Chris@19:
  - 3.2.4 Dynamic Arrays in C Chris@19:
  - 3.2.5 Dynamic Arrays in C—The Wrong Way Chris@19:
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- 3.3 Words of Wisdom—Saving Plans Chris@19:
- 3.4 Caveats in Using Wisdom Chris@19:
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4 FFTW Reference Chris@19:
- 4.1 Data Types and Files Chris@19:
  - 4.1.1 Complex numbers Chris@19:
  - 4.1.2 Precision Chris@19:
  - 4.1.3 Memory Allocation Chris@19:
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- 4.2 Using Plans Chris@19:
- 4.3 Basic Interface Chris@19:
  - 4.3.1 Complex DFTs Chris@19:
  - 4.3.2 Planner Flags Chris@19:
  - 4.3.3 Real-data DFTs Chris@19:
  - 4.3.4 Real-data DFT Array Format Chris@19:
  - 4.3.5 Real-to-Real Transforms Chris@19:
  - 4.3.6 Real-to-Real Transform Kinds Chris@19:
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- 4.4 Advanced Interface Chris@19:
  - 4.4.1 Advanced Complex DFTs Chris@19:
  - 4.4.2 Advanced Real-data DFTs Chris@19:
  - 4.4.3 Advanced Real-to-real Transforms Chris@19:
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- 4.5 Guru Interface Chris@19:
  - 4.5.1 Interleaved and split arrays Chris@19:
  - 4.5.2 Guru vector and transform sizes Chris@19:
  - 4.5.3 Guru Complex DFTs Chris@19:
  - 4.5.4 Guru Real-data DFTs Chris@19:
  - 4.5.5 Guru Real-to-real Transforms Chris@19:
  - 4.5.6 64-bit Guru Interface Chris@19:
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- 4.6 New-array Execute Functions Chris@19:
- 4.7 Wisdom Chris@19:
  - 4.7.1 Wisdom Export Chris@19:
  - 4.7.2 Wisdom Import Chris@19:
  - 4.7.3 Forgetting Wisdom Chris@19:
  - 4.7.4 Wisdom Utilities Chris@19:
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- 4.8 What FFTW Really Computes Chris@19:
  - 4.8.1 The 1d Discrete Fourier Transform (DFT) Chris@19:
  - 4.8.2 The 1d Real-data DFT Chris@19:
  - 4.8.3 1d Real-even DFTs (DCTs) Chris@19:
  - 4.8.4 1d Real-odd DFTs (DSTs) Chris@19:
  - 4.8.5 1d Discrete Hartley Transforms (DHTs) Chris@19:
  - 4.8.6 Multi-dimensional Transforms Chris@19:
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5 Multi-threaded FFTW Chris@19:
- 5.1 Installation and Supported Hardware/Software Chris@19:
- 5.2 Usage of Multi-threaded FFTW Chris@19:
- 5.3 How Many Threads to Use? Chris@19:
- 5.4 Thread safety Chris@19:
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6 Distributed-memory FFTW with MPI Chris@19:
- 6.1 FFTW MPI Installation Chris@19:
- 6.2 Linking and Initializing MPI FFTW Chris@19:
- 6.3 2d MPI example Chris@19:
- 6.4 MPI Data Distribution Chris@19:
  - 6.4.1 Basic and advanced distribution interfaces Chris@19:
  - 6.4.2 Load balancing Chris@19:
  - 6.4.3 Transposed distributions Chris@19:
  - 6.4.4 One-dimensional distributions Chris@19:
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- 6.5 Multi-dimensional MPI DFTs of Real Data Chris@19:
- 6.6 Other multi-dimensional Real-Data MPI Transforms Chris@19:
- 6.7 FFTW MPI Transposes Chris@19:
  - 6.7.1 Basic distributed-transpose interface Chris@19:
  - 6.7.2 Advanced distributed-transpose interface Chris@19:
  - 6.7.3 An improved replacement for MPI_Alltoall Chris@19:
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- 6.8 FFTW MPI Wisdom Chris@19:
- 6.9 Avoiding MPI Deadlocks Chris@19:
- 6.10 FFTW MPI Performance Tips Chris@19:
- 6.11 Combining MPI and Threads Chris@19:
- 6.12 FFTW MPI Reference Chris@19:
  - 6.12.1 MPI Files and Data Types Chris@19:
  - 6.12.2 MPI Initialization Chris@19:
  - 6.12.3 Using MPI Plans Chris@19:
  - 6.12.4 MPI Data Distribution Functions Chris@19:
  - 6.12.5 MPI Plan Creation Chris@19:
  - 6.12.6 MPI Wisdom Communication Chris@19:
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- 6.13 FFTW MPI Fortran Interface Chris@19:
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7 Calling FFTW from Modern Fortran Chris@19:
- 7.1 Overview of Fortran interface Chris@19:
  - 7.1.1 Extended and quadruple precision in Fortran Chris@19:
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- 7.2 Reversing array dimensions Chris@19:
- 7.3 FFTW Fortran type reference Chris@19:
- 7.4 Plan execution in Fortran Chris@19:
- 7.5 Allocating aligned memory in Fortran Chris@19:
- 7.6 Accessing the wisdom API from Fortran Chris@19:
  - 7.6.1 Wisdom File Export/Import from Fortran Chris@19:
  - 7.6.2 Wisdom String Export/Import from Fortran Chris@19:
  - 7.6.3 Wisdom Generic Export/Import from Fortran Chris@19:
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- 7.7 Defining an FFTW module Chris@19:
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8 Calling FFTW from Legacy Fortran Chris@19:
- 8.1 Fortran-interface routines Chris@19:
- 8.2 FFTW Constants in Fortran Chris@19:
- 8.3 FFTW Execution in Fortran Chris@19:
- 8.4 Fortran Examples Chris@19:
- 8.5 Wisdom of Fortran? Chris@19:
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9 Upgrading from FFTW version 2 Chris@19:
10 Installation and Customization Chris@19:
- 10.1 Installation on Unix Chris@19:
- 10.2 Installation on non-Unix systems Chris@19:
- 10.3 Cycle Counters Chris@19:
- 10.4 Generating your own code Chris@19:
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11 Acknowledgments Chris@19:
12 License and Copyright Chris@19:
13 Concept Index Chris@19:
14 Library Index Chris@19:

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Welcome to FFTW, the Fastest Fourier Transform in the West. FFTW is a Chris@19: collection of fast C routines to compute the discrete Fourier transform. Chris@19: This manual documents FFTW version 3.3.4. Chris@19: Chris@19:

FFTW 3.3.4

Table of Contents

FFTW User Manual