13. Concept Index: F – P

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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

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

P
	padding	2.3 One-Dimensional DFTs of Real Data
	padding	2.4 Multi-Dimensional DFTs of Real Data
	padding	Arguments
	padding	4.3.4 Real-data DFT Array Format
	padding	6.5 Multi-dimensional MPI DFTs of Real Data
	padding	7.2 Reversing array dimensions
	parallel transform	5. Multi-threaded FFTW
	parallel transform	6. Distributed-memory FFTW with MPI
	partial order	2.2 Complex Multi-Dimensional DFTs
	plan	1. Introduction
	plan	2.1 Complex One-Dimensional DFTs
	planner	1. Introduction
	portability	3.1 SIMD alignment and fftw_malloc
	portability	3.4 Caveats in Using Wisdom
	portability	4.1.1 Complex numbers
	portability	5.1 Installation and Supported Hardware/Software
	portability	7. Calling FFTW from Modern Fortran
	portability	7.3 FFTW Fortran type reference
	portability	8.1 Fortran-interface routines
	portability	8.1 Fortran-interface routines
	portability	8.5 Wisdom of Fortran?
	portability	10. Installation and Customization
	precision	2.1 Complex One-Dimensional DFTs
	precision	2.3 One-Dimensional DFTs of Real Data
	precision	3.1 SIMD alignment and fftw_malloc
	precision	4.1.2 Precision
	precision	4.1.3 Memory Allocation
	precision	6.2 Linking and Initializing MPI FFTW
	precision	6.12.1 MPI Files and Data Types
	precision	7.3 FFTW Fortran type reference
	precision	10.1 Installation on Unix
	precision	10.1 Installation on Unix
	precision	10.1 Installation on Unix

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