13 Concept Index: F – O

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	Index Entry	Section

F
	FFTW	1 Introduction
	fftw-wisdom utility	3.4 Caveats in Using Wisdom
	fftw-wisdom utility	4.7.4 Wisdom Utilities
	fftw-wisdom-to-conf utility	4.7.4 Wisdom Utilities
	flags	2.1 Complex One-Dimensional DFTs
	flags	2.3 One-Dimensional DFTs of Real Data
	flags	Arguments
	flags	Arguments
	flags	Arguments
	flags	4.5.3 Guru Complex DFTs
	flags	4.5.4 Guru Real-data DFTs
	flags	4.5.5 Guru Real-to-real Transforms
	flags	7.1 Overview of Fortran interface
	flags	8.2 FFTW Constants in Fortran
	Fortran interface	3.2.2 Column-major Format
	Fortran interface	6.13 FFTW MPI Fortran Interface
	Fortran interface	7 Calling FFTW from Modern Fortran
	Fortran interface	8 Calling FFTW from Legacy Fortran
	Fortran-callable wrappers	10.1 Installation on Unix
	frequency	2.1 Complex One-Dimensional DFTs
	frequency	4.8.1 The 1d Discrete Fourier Transform (DFT)

G
	`g77`	10.1 Installation on Unix
	guru interface	1 Introduction
	guru interface	2.2 Complex Multi-Dimensional DFTs
	guru interface	4.5 Guru Interface
	guru interface	7.3 FFTW Fortran type reference
	guru interface	8.1 Fortran-interface routines

H
	halfcomplex format	2.3 One-Dimensional DFTs of Real Data
	halfcomplex format	2.5.1 The Halfcomplex-format DFT
	halfcomplex format	4.8.2 The 1d Real-data DFT
	hc2r	2.5.1 The Halfcomplex-format DFT
	hc2r	Algorithm-restriction flags
	HDF5	6.3 2d MPI example
	Hermitian	2.3 One-Dimensional DFTs of Real Data
	Hermitian	4.8.2 The 1d Real-data DFT
	howmany loop	4.5.2 Guru vector and transform sizes
	howmany parameter	4.4.1 Advanced Complex DFTs

I
	IDCT	2.5.2 Real even/odd DFTs (cosine/sine transforms)
	IDCT	2.5.2 Real even/odd DFTs (cosine/sine transforms)
	IDCT	4.3.6 Real-to-Real Transform Kinds
	IDCT	REDFT01 (DCT-III)
	in-place	2.1 Complex One-Dimensional DFTs
	in-place	2.3 One-Dimensional DFTs of Real Data
	in-place	Arguments
	in-place	Arguments
	in-place	4.3.4 Real-data DFT Array Format
	in-place	Arguments
	in-place	4.5.4 Guru Real-data DFTs
	in-place	4.5.4 Guru Real-data DFTs
	in-place	6.7.3 An improved replacement for MPI_Alltoall
	in-place	7.2 Reversing array dimensions
	in-place	7.3 FFTW Fortran type reference
	installation	10 Installation and Customization
	interleaved format	4.5.1 Interleaved and split arrays
	iso_c_binding	6.13 FFTW MPI Fortran Interface
	iso_c_binding	7.1 Overview of Fortran interface
	iso_c_binding	7.1.1 Extended and quadruple precision in Fortran

K
	kind (r2r)	2.5 More DFTs of Real Data
	kind (r2r)	4.3.6 Real-to-Real Transform Kinds

L
	linking on Unix	5.2 Usage of Multi-threaded FFTW
	linking on Unix	6.2 Linking and Initializing MPI FFTW
	LISP	11 Acknowledgments
	load balancing	6.4.2 Load balancing
	load balancing	6.10 FFTW MPI Performance Tips

M
	MIPS PS	3.1 SIMD alignment and fftw_malloc
	monadic programming	10.4 Generating your own code
	MPI	6 Distributed-memory FFTW with MPI
	MPI	10.1 Installation on Unix
	MPI communicator	6 Distributed-memory FFTW with MPI
	MPI communicator	6.12.3 Using MPI Plans
	MPI communicator	Complex-data MPI DFTs
	MPI communicator	6.13 FFTW MPI Fortran Interface
	MPI I/O	6.3 2d MPI example
	MPI I/O	6.8 FFTW MPI Wisdom
	`mpicc`	6.1 FFTW MPI Installation
	`mpicc`	6.2 Linking and Initializing MPI FFTW

N
	new-array execution	4.6 New-array Execute Functions
	new-array execution	6.12.3 Using MPI Plans
	new-array execution	MPI transposition
	new-array execution	6.13 FFTW MPI Fortran Interface
	normalization	2.1 Complex One-Dimensional DFTs
	normalization	2.4 Multi-Dimensional DFTs of Real Data
	normalization	2.5.1 The Halfcomplex-format DFT
	normalization	2.5.2 Real even/odd DFTs (cosine/sine transforms)
	normalization	2.5.3 The Discrete Hartley Transform
	normalization	Arguments
	normalization	Arguments
	normalization	4.3.6 Real-to-Real Transform Kinds
	normalization	4.8.1 The 1d Discrete Fourier Transform (DFT)
	normalization	4.8.2 The 1d Real-data DFT
	normalization	Inverses and Normalization
	normalization	Inverses and Normalization
	normalization	4.8.5 1d Discrete Hartley Transforms (DHTs)
	number of threads	5.3 How Many Threads to Use?

O
	OpenMP	5.1 Installation and Supported Hardware/Software
	OpenMP	5.2 Usage of Multi-threaded FFTW
	OpenMP	5.2 Usage of Multi-threaded FFTW
	OpenMP	5.4 Thread safety
	out-of-place	Algorithm-restriction flags
	out-of-place	4.3.4 Real-data DFT Array Format

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