Concept Index (FFTW 3.3.10)

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13 Concept Index ¶

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6
	Index Entry	Section

	64-bit architecture	64-bit Guru Interface
	64-bit architecture	2d MPI example
	64-bit architecture	FFTW Fortran type reference

A
	advanced interface	Introduction
	advanced interface	Complex Multi-Dimensional DFTs
	advanced interface	Row-major Format
	advanced interface	Advanced Interface
	advanced interface	Basic and advanced distribution interfaces
	advanced interface	MPI Data Distribution Functions
	advanced interface	MPI Plan Creation
	algorithm	Introduction
	alignment	Memory Allocation
	alignment	Planner Flags
	alignment	New-array Execute Functions
	alignment	Using MPI Plans
	alignment	Overview of Fortran interface
	alignment	Allocating aligned memory in Fortran
	AltiVec	SIMD alignment and fftw_malloc
	AVX	SIMD alignment and fftw_malloc
	AVX2	SIMD alignment and fftw_malloc
	AVX512	SIMD alignment and fftw_malloc

B
	basic interface	Introduction
	basic interface	Tutorial
	basic interface	Basic Interface
	block distribution	MPI Data Distribution
	block distribution	Basic and advanced distribution interfaces
	block distribution	FFTW MPI Performance Tips

C
	C multi-dimensional arrays	Fixed-size Arrays in C
	C++	Complex One-Dimensional DFTs
	C++	SIMD alignment and fftw_malloc
	C++	Dynamic Arrays in C
	C++	Complex numbers
	C++	Memory Allocation
	c2r	One-Dimensional DFTs of Real Data
	c2r	Planner Flags
	c2r	Real-data DFTs
	C99	Dynamic Arrays in C
	C99	Complex numbers
	C99	Precision
	Caml	Generating your own code
	Caml	Acknowledgments
	code generator	Introduction
	code generator	Generating your own code
	codelet	Introduction
	codelet	Installation and Customization
	codelet	Generating your own code
	codelet	Acknowledgments
	collective function	2d MPI example
	collective function	FFTW MPI Wisdom
	collective function	Avoiding MPI Deadlocks
	collective function	Using MPI Plans
	collective function	MPI Plan Creation
	column-major	Column-major Format
	column-major	Reversing array dimensions
	column-major	Fortran-interface routines
	column-major	Fortran Examples
	compiler	Introduction
	compiler	Installation and Customization
	compiler	Installation on Unix
	compiler	Cycle Counters
	compiler flags	Installation on Unix
	compiler flags	Installation on Unix
	configuration routines	Wisdom Utilities
	`configure`	Installation and Supported Hardware/Software
	`configure`	FFTW MPI Installation
	`configure`	Installation on Unix
	cycle counter	Installation and Customization
	cycle counter	Cycle Counters

D
	data distribution	Distributed-memory FFTW with MPI
	data distribution	2d MPI example
	data distribution	MPI Data Distribution
	data distribution	Multi-dimensional MPI DFTs of Real Data
	data distribution	Basic distributed-transpose interface
	data distribution	MPI Data Distribution Functions
	DCT	Real even/odd DFTs (cosine/sine transforms)
	DCT	Real-to-Real Transform Kinds
	DCT	1d Real-even DFTs (DCTs)
	deadlock	Avoiding MPI Deadlocks
	Devil	Complex One-Dimensional DFTs
	DFT	Introduction
	DFT	Complex One-Dimensional DFTs
	DFT	The 1d Discrete Fourier Transform (DFT)
	DHT	The Discrete Hartley Transform
	DHT	1d Discrete Hartley Transforms (DHTs)
	discrete cosine transform	Real even/odd DFTs (cosine/sine transforms)
	discrete cosine transform	Real-to-Real Transform Kinds
	discrete cosine transform	1d Real-even DFTs (DCTs)
	discrete Fourier transform	Introduction
	discrete Fourier transform	The 1d Discrete Fourier Transform (DFT)
	discrete Hartley transform	The Discrete Hartley Transform
	discrete Hartley transform	Real-to-Real Transform Kinds
	discrete Hartley transform	1d Discrete Hartley Transforms (DHTs)
	discrete sine transform	Real even/odd DFTs (cosine/sine transforms)
	discrete sine transform	Real-to-Real Transform Kinds
	discrete sine transform	1d Real-odd DFTs (DSTs)
	dist	Advanced Complex DFTs
	dist	Guru vector and transform sizes
	DST	Real even/odd DFTs (cosine/sine transforms)
	DST	Real-to-Real Transform Kinds
	DST	1d Real-odd DFTs (DSTs)

E
	Ecclesiastes	Caveats in Using Wisdom
	execute	Introduction
	execute	Complex One-Dimensional DFTs
	execute	New-array Execute Functions

F
	FFTW	Introduction
	fftw-wisdom utility	Caveats in Using Wisdom
	fftw-wisdom utility	Wisdom Utilities
	fftw-wisdom-to-conf utility	Wisdom Utilities
	flags	Complex One-Dimensional DFTs
	flags	One-Dimensional DFTs of Real Data
	flags	Complex DFTs
	flags	Real-data DFTs
	flags	Real-to-Real Transforms
	flags	Guru Complex DFTs
	flags	Guru Real-data DFTs
	flags	Guru Real-to-real Transforms
	flags	Overview of Fortran interface
	flags	FFTW Constants in Fortran
	Fortran interface	Column-major Format
	Fortran interface	FFTW MPI Fortran Interface
	Fortran interface	Calling FFTW from Modern Fortran
	Fortran interface	Calling FFTW from Legacy Fortran
	Fortran-callable wrappers	Installation on Unix
	frequency	Complex One-Dimensional DFTs
	frequency	The 1d Discrete Fourier Transform (DFT)

G
	`g77`	Installation on Unix
	guru interface	Introduction
	guru interface	Complex Multi-Dimensional DFTs
	guru interface	Guru Interface
	guru interface	FFTW Fortran type reference
	guru interface	Fortran-interface routines

H
	halfcomplex format	One-Dimensional DFTs of Real Data
	halfcomplex format	The Halfcomplex-format DFT
	halfcomplex format	The 1d Real-data DFT
	hc2r	The Halfcomplex-format DFT
	hc2r	Planner Flags
	HDF5	2d MPI example
	Hermitian	One-Dimensional DFTs of Real Data
	Hermitian	The 1d Real-data DFT
	howmany loop	Guru vector and transform sizes
	howmany parameter	Advanced Complex DFTs

I
	IDCT	Real even/odd DFTs (cosine/sine transforms)
	IDCT	Real even/odd DFTs (cosine/sine transforms)
	IDCT	Real-to-Real Transform Kinds
	IDCT	1d Real-even DFTs (DCTs)
	in-place	Complex One-Dimensional DFTs
	in-place	One-Dimensional DFTs of Real Data
	in-place	Complex DFTs
	in-place	Real-data DFTs
	in-place	Real-data DFT Array Format
	in-place	Real-to-Real Transforms
	in-place	Guru Real-data DFTs
	in-place	Guru Real-data DFTs
	in-place	An improved replacement for MPI_Alltoall
	in-place	Reversing array dimensions
	in-place	FFTW Fortran type reference
	installation	Installation and Customization
	interleaved format	Interleaved and split arrays
	iso_c_binding	FFTW MPI Fortran Interface
	iso_c_binding	Overview of Fortran interface
	iso_c_binding	Extended and quadruple precision in Fortran

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

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

M
	monadic programming	Generating your own code
	MPI	Distributed-memory FFTW with MPI
	MPI	Installation on Unix
	MPI communicator	Distributed-memory FFTW with MPI
	MPI communicator	Using MPI Plans
	MPI communicator	MPI Plan Creation
	MPI communicator	FFTW MPI Fortran Interface
	MPI I/O	2d MPI example
	MPI I/O	FFTW MPI Wisdom
	`mpicc`	FFTW MPI Installation
	`mpicc`	Linking and Initializing MPI FFTW

N
	new-array execution	New-array Execute Functions
	new-array execution	Using MPI Plans
	new-array execution	MPI Plan Creation
	new-array execution	FFTW MPI Fortran Interface
	normalization	Complex One-Dimensional DFTs
	normalization	Multi-Dimensional DFTs of Real Data
	normalization	The Halfcomplex-format DFT
	normalization	Real even/odd DFTs (cosine/sine transforms)
	normalization	The Discrete Hartley Transform
	normalization	Complex DFTs
	normalization	Real-data DFTs
	normalization	Real-to-Real Transform Kinds
	normalization	The 1d Discrete Fourier Transform (DFT)
	normalization	The 1d Real-data DFT
	normalization	1d Real-even DFTs (DCTs)
	normalization	1d Real-odd DFTs (DSTs)
	normalization	1d Discrete Hartley Transforms (DHTs)
	number of threads	How Many Threads to Use?

O
	OpenMP	Installation and Supported Hardware/Software
	OpenMP	Usage of Multi-threaded FFTW
	OpenMP	Usage of Multi-threaded FFTW
	OpenMP	Thread safety
	out-of-place	Planner Flags
	out-of-place	Real-data DFT Array Format

P
	padding	One-Dimensional DFTs of Real Data
	padding	Multi-Dimensional DFTs of Real Data
	padding	Real-data DFTs
	padding	Real-data DFT Array Format
	padding	Multi-dimensional MPI DFTs of Real Data
	padding	Reversing array dimensions
	parallel transform	Multi-threaded FFTW
	parallel transform	Distributed-memory FFTW with MPI
	partial order	Complex Multi-Dimensional DFTs
	plan	Introduction
	plan	Complex One-Dimensional DFTs
	planner	Introduction
	portability	SIMD alignment and fftw_malloc
	portability	Caveats in Using Wisdom
	portability	Complex numbers
	portability	Installation and Supported Hardware/Software
	portability	Calling FFTW from Modern Fortran
	portability	FFTW Fortran type reference
	portability	Fortran-interface routines
	portability	Fortran-interface routines
	portability	Wisdom of Fortran?
	portability	Installation and Customization
	precision	Complex One-Dimensional DFTs
	precision	One-Dimensional DFTs of Real Data
	precision	SIMD alignment and fftw_malloc
	precision	Precision
	precision	Memory Allocation
	precision	Linking and Initializing MPI FFTW
	precision	MPI Files and Data Types
	precision	Extended and quadruple precision in Fortran
	precision	FFTW Fortran type reference
	precision	Installation on Unix
	precision	Installation on Unix
	precision	Installation on Unix

R
	r2c	One-Dimensional DFTs of Real Data
	r2c	The Halfcomplex-format DFT
	r2c	Real-data DFTs
	r2c	Multi-dimensional Transforms
	r2c	MPI Plan Creation
	r2c/c2r multi-dimensional array format	Multi-Dimensional DFTs of Real Data
	r2c/c2r multi-dimensional array format	Real-data DFT Array Format
	r2c/c2r multi-dimensional array format	Reversing array dimensions
	r2c/c2r multi-dimensional array format	Fortran Examples
	r2hc	The Halfcomplex-format DFT
	r2r	More DFTs of Real Data
	r2r	Real-to-Real Transforms
	r2r	The 1d Real-data DFT
	r2r	Other Multi-dimensional Real-data MPI Transforms
	r2r	MPI Plan Creation
	rank	Complex Multi-Dimensional DFTs
	real-even DFT	Real even/odd DFTs (cosine/sine transforms)
	real-even DFT	1d Real-even DFTs (DCTs)
	real-odd DFT	Real even/odd DFTs (cosine/sine transforms)
	real-odd DFT	1d Real-odd DFTs (DSTs)
	REDFT	Real even/odd DFTs (cosine/sine transforms)
	REDFT	1d Real-even DFTs (DCTs)
	REDFT	Generating your own code
	RODFT	Real even/odd DFTs (cosine/sine transforms)
	RODFT	1d Real-odd DFTs (DSTs)
	row-major	Row-major Format
	row-major	Complex DFTs
	row-major	Real-to-Real Transforms
	row-major	Guru vector and transform sizes
	row-major	Basic and advanced distribution interfaces
	row-major	Multi-dimensional MPI DFTs of Real Data
	row-major	Reversing array dimensions

S
	saving plans to disk	Words of Wisdom-Saving Plans
	saving plans to disk	Wisdom
	saving plans to disk	FFTW MPI Wisdom
	saving plans to disk	Accessing the wisdom API from Fortran
	shared-memory	Multi-threaded FFTW
	SIMD	Complex One-Dimensional DFTs
	SIMD	SIMD alignment and fftw_malloc
	SIMD	Overview of Fortran interface
	split format	Interleaved and split arrays
	SSE	SIMD alignment and fftw_malloc
	SSE2	SIMD alignment and fftw_malloc
	stride	Row-major Format
	stride	Advanced Complex DFTs
	stride	Guru vector and transform sizes
	stride	MPI Plan Creation

T
	thread safety	Usage of Multi-threaded FFTW
	thread safety	Thread safety
	thread safety	Combining MPI and Threads
	threads	Multi-threaded FFTW
	threads	Thread safety
	threads	Combining MPI and Threads
	threads	Installation on Unix
	transpose	Transposed distributions
	transpose	Multi-dimensional MPI DFTs of Real Data
	transpose	FFTW MPI Transposes
	transpose	FFTW MPI Performance Tips
	transpose	Combining MPI and Threads
	transpose	MPI Plan Creation

V
	vector	Guru Interface
	VSX	SIMD alignment and fftw_malloc

W
	wisdom	Words of Wisdom-Saving Plans
	wisdom	Wisdom
	wisdom	FFTW MPI Wisdom
	wisdom	Accessing the wisdom API from Fortran
	wisdom, problems with	Caveats in Using Wisdom
	wisdom, system-wide	Caveats in Using Wisdom
	wisdom, system-wide	Wisdom Import