FFTW 3.3.5: Top

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1 Introduction
2 Tutorial cannam@127:
- 2.1 Complex One-Dimensional DFTs
- 2.2 Complex Multi-Dimensional DFTs
- 2.3 One-Dimensional DFTs of Real Data
- 2.4 Multi-Dimensional DFTs of Real Data
- 2.5 More DFTs of Real Data cannam@127:
  - 2.5.1 The Halfcomplex-format DFT
  - 2.5.2 Real even/odd DFTs (cosine/sine transforms)
  - 2.5.3 The Discrete Hartley Transform
3 Other Important Topics cannam@127:
- 3.1 SIMD alignment and fftw_malloc
- 3.2 Multi-dimensional Array Format cannam@127:
  - 3.2.1 Row-major Format
  - 3.2.2 Column-major Format
  - 3.2.3 Fixed-size Arrays in C
  - 3.2.4 Dynamic Arrays in C
  - 3.2.5 Dynamic Arrays in C—The Wrong Way
- 3.3 Words of Wisdom—Saving Plans
- 3.4 Caveats in Using Wisdom
4 FFTW Reference cannam@127:
- 4.1 Data Types and Files cannam@127:
  - 4.1.1 Complex numbers
  - 4.1.2 Precision
  - 4.1.3 Memory Allocation
- 4.2 Using Plans
- 4.3 Basic Interface cannam@127:
  - 4.3.1 Complex DFTs
  - 4.3.2 Planner Flags
  - 4.3.3 Real-data DFTs
  - 4.3.4 Real-data DFT Array Format
  - 4.3.5 Real-to-Real Transforms
  - 4.3.6 Real-to-Real Transform Kinds
- 4.4 Advanced Interface cannam@127:
  - 4.4.1 Advanced Complex DFTs
  - 4.4.2 Advanced Real-data DFTs
  - 4.4.3 Advanced Real-to-real Transforms
- 4.5 Guru Interface cannam@127:
  - 4.5.1 Interleaved and split arrays
  - 4.5.2 Guru vector and transform sizes
  - 4.5.3 Guru Complex DFTs
  - 4.5.4 Guru Real-data DFTs
  - 4.5.5 Guru Real-to-real Transforms
  - 4.5.6 64-bit Guru Interface
- 4.6 New-array Execute Functions
- 4.7 Wisdom cannam@127:
  - 4.7.1 Wisdom Export
  - 4.7.2 Wisdom Import
  - 4.7.3 Forgetting Wisdom
  - 4.7.4 Wisdom Utilities
- 4.8 What FFTW Really Computes cannam@127:
  - 4.8.1 The 1d Discrete Fourier Transform (DFT)
  - 4.8.2 The 1d Real-data DFT
  - 4.8.3 1d Real-even DFTs (DCTs)
  - 4.8.4 1d Real-odd DFTs (DSTs)
  - 4.8.5 1d Discrete Hartley Transforms (DHTs)
  - 4.8.6 Multi-dimensional Transforms
5 Multi-threaded FFTW cannam@127:
- 5.1 Installation and Supported Hardware/Software
- 5.2 Usage of Multi-threaded FFTW
- 5.3 How Many Threads to Use?
- 5.4 Thread safety
6 Distributed-memory FFTW with MPI cannam@127:
- 6.1 FFTW MPI Installation
- 6.2 Linking and Initializing MPI FFTW
- 6.3 2d MPI example
- 6.4 MPI Data Distribution cannam@127:
  - 6.4.1 Basic and advanced distribution interfaces
  - 6.4.2 Load balancing
  - 6.4.3 Transposed distributions
  - 6.4.4 One-dimensional distributions
- 6.5 Multi-dimensional MPI DFTs of Real Data
- 6.6 Other multi-dimensional Real-Data MPI Transforms
- 6.7 FFTW MPI Transposes cannam@127:
  - 6.7.1 Basic distributed-transpose interface
  - 6.7.2 Advanced distributed-transpose interface
  - 6.7.3 An improved replacement for MPI_Alltoall
- 6.8 FFTW MPI Wisdom
- 6.9 Avoiding MPI Deadlocks
- 6.10 FFTW MPI Performance Tips
- 6.11 Combining MPI and Threads
- 6.12 FFTW MPI Reference cannam@127:
  - 6.12.1 MPI Files and Data Types
  - 6.12.2 MPI Initialization
  - 6.12.3 Using MPI Plans
  - 6.12.4 MPI Data Distribution Functions
  - 6.12.5 MPI Plan Creation
  - 6.12.6 MPI Wisdom Communication
- 6.13 FFTW MPI Fortran Interface
7 Calling FFTW from Modern Fortran cannam@127:
- 7.1 Overview of Fortran interface cannam@127:
  - 7.1.1 Extended and quadruple precision in Fortran
- 7.2 Reversing array dimensions
- 7.3 FFTW Fortran type reference
- 7.4 Plan execution in Fortran
- 7.5 Allocating aligned memory in Fortran
- 7.6 Accessing the wisdom API from Fortran cannam@127:
  - 7.6.1 Wisdom File Export/Import from Fortran
  - 7.6.2 Wisdom String Export/Import from Fortran
  - 7.6.3 Wisdom Generic Export/Import from Fortran
- 7.7 Defining an FFTW module
8 Calling FFTW from Legacy Fortran cannam@127:
- 8.1 Fortran-interface routines
- 8.2 FFTW Constants in Fortran
- 8.3 FFTW Execution in Fortran
- 8.4 Fortran Examples
- 8.5 Wisdom of Fortran?
9 Upgrading from FFTW version 2
10 Installation and Customization cannam@127:
- 10.1 Installation on Unix
- 10.2 Installation on non-Unix systems
- 10.3 Cycle Counters
- 10.4 Generating your own code
11 Acknowledgments
12 License and Copyright
13 Concept Index
14 Library Index

cannam@127:

Welcome to FFTW, the Fastest Fourier Transform in the West. FFTW is a cannam@127: collection of fast C routines to compute the discrete Fourier transform. cannam@127: This manual documents FFTW version 3.3.5. cannam@127:

FFTW 3.3.5

Table of Contents

FFTW User Manual

• Introduction:		cannam@127:
• Tutorial:		cannam@127:
• Other Important Topics:		cannam@127:
• FFTW Reference:		cannam@127:
• Multi-threaded FFTW:		cannam@127:
• Distributed-memory FFTW with MPI:		cannam@127:
• Calling FFTW from Modern Fortran:		cannam@127:
• Calling FFTW from Legacy Fortran:		cannam@127:
• Upgrading from FFTW version 2:		cannam@127:
• Installation and Customization:		cannam@127:
• Acknowledgments:		cannam@127:
• License and Copyright:		cannam@127:
• Concept Index:		cannam@127:
• Library Index:		cannam@127: