This is fftw3.info, produced by makeinfo version 6.7 from fftw3.texi.
This manual is for FFTW (version 3.3.10, 10 December 2020).
Copyright (C) 2003 Matteo Frigo.
Copyright (C) 2003 Massachusetts Institute of Technology.
Permission is granted to make and distribute verbatim copies of
this manual provided the copyright notice and this permission
notice are preserved on all copies.
Permission is granted to copy and distribute modified versions of
this manual under the conditions for verbatim copying, provided
that the entire resulting derived work is distributed under the
terms of a permission notice identical to this one.
Permission is granted to copy and distribute translations of this
manual into another language, under the above conditions for
modified versions, except that this permission notice may be stated
in a translation approved by the Free Software Foundation.
INFO-DIR-SECTION Development
START-INFO-DIR-ENTRY
* fftw3: (fftw3). FFTW User's Manual.
END-INFO-DIR-ENTRY
File: fftw3.info, Node: Concept Index, Next: Library Index, Prev: License and Copyright, Up: Top
13 Concept Index
****************
�[index�]
* Menu:
* 64-bit architecture: 64-bit Guru Interface.
(line 6)
* 64-bit architecture <1>: 2d MPI example. (line 69)
* 64-bit architecture <2>: FFTW Fortran type reference.
(line 53)
* advanced interface: Introduction. (line 64)
* advanced interface <1>: Complex Multi-Dimensional DFTs.
(line 62)
* advanced interface <2>: Row-major Format. (line 26)
* advanced interface <3>: Advanced Interface. (line 6)
* advanced interface <4>: Basic and advanced distribution interfaces.
(line 44)
* advanced interface <5>: MPI Data Distribution Functions.
(line 47)
* advanced interface <6>: MPI Plan Creation. (line 43)
* algorithm: Introduction. (line 96)
* alignment: Memory Allocation. (line 12)
* alignment <1>: Planner Flags. (line 75)
* alignment <2>: New-array Execute Functions.
(line 35)
* alignment <3>: Using MPI Plans. (line 24)
* alignment <4>: Overview of Fortran interface.
(line 50)
* alignment <5>: Allocating aligned memory in Fortran.
(line 6)
* AltiVec: SIMD alignment and fftw_malloc.
(line 12)
* AVX: SIMD alignment and fftw_malloc.
(line 12)
* AVX2: SIMD alignment and fftw_malloc.
(line 12)
* AVX512: SIMD alignment and fftw_malloc.
(line 12)
* basic interface: Introduction. (line 64)
* basic interface <1>: Tutorial. (line 14)
* basic interface <2>: Basic Interface. (line 6)
* block distribution: MPI Data Distribution.
(line 21)
* block distribution <1>: Basic and advanced distribution interfaces.
(line 71)
* block distribution <2>: FFTW MPI Performance Tips.
(line 14)
* C multi-dimensional arrays: Fixed-size Arrays in C.
(line 6)
* C++: Complex One-Dimensional DFTs.
(line 114)
* C++ <1>: SIMD alignment and fftw_malloc.
(line 32)
* C++ <2>: Dynamic Arrays in C. (line 31)
* C++ <3>: Complex numbers. (line 35)
* C++ <4>: Memory Allocation. (line 24)
* c2r: One-Dimensional DFTs of Real Data.
(line 37)
* c2r <1>: Planner Flags. (line 73)
* c2r <2>: Real-data DFTs. (line 88)
* C99: Dynamic Arrays in C. (line 31)
* C99 <1>: Complex numbers. (line 22)
* C99 <2>: Precision. (line 29)
* Caml: Generating your own code.
(line 12)
* Caml <1>: Acknowledgments. (line 47)
* code generator: Introduction. (line 76)
* code generator <1>: Generating your own code.
(line 6)
* codelet: Introduction. (line 76)
* codelet <1>: Installation and Customization.
(line 29)
* codelet <2>: Generating your own code.
(line 7)
* codelet <3>: Acknowledgments. (line 54)
* collective function: 2d MPI example. (line 61)
* collective function <1>: FFTW MPI Wisdom. (line 39)
* collective function <2>: Avoiding MPI Deadlocks.
(line 12)
* collective function <3>: Using MPI Plans. (line 10)
* collective function <4>: MPI Plan Creation. (line 27)
* column-major: Column-major Format. (line 6)
* column-major <1>: Reversing array dimensions.
(line 6)
* column-major <2>: Fortran-interface routines.
(line 27)
* column-major <3>: Fortran Examples. (line 99)
* compiler: Introduction. (line 84)
* compiler <1>: Installation and Customization.
(line 16)
* compiler <2>: Installation on Unix.
(line 148)
* compiler <3>: Cycle Counters. (line 14)
* compiler flags: Installation on Unix.
(line 29)
* compiler flags <1>: Installation on Unix.
(line 151)
* configuration routines: Wisdom Utilities. (line 26)
* configure: Installation and Supported Hardware/Software.
(line 12)
* configure <1>: FFTW MPI Installation.
(line 10)
* configure <2>: Installation on Unix.
(line 7)
* cycle counter: Installation and Customization.
(line 16)
* cycle counter <1>: Cycle Counters. (line 6)
* data distribution: Distributed-memory FFTW with MPI.
(line 14)
* data distribution <1>: 2d MPI example. (line 81)
* data distribution <2>: MPI Data Distribution.
(line 6)
* data distribution <3>: Multi-dimensional MPI DFTs of Real Data.
(line 33)
* data distribution <4>: Basic distributed-transpose interface.
(line 33)
* data distribution <5>: MPI Data Distribution Functions.
(line 6)
* DCT: Real even/odd DFTs (cosine/sine transforms).
(line 15)
* DCT <1>: Real-to-Real Transform Kinds.
(line 32)
* DCT <2>: 1d Real-even DFTs (DCTs).
(line 24)
* deadlock: Avoiding MPI Deadlocks.
(line 6)
* Devil: Complex One-Dimensional DFTs.
(line 8)
* DFT: Introduction. (line 9)
* DFT <1>: Complex One-Dimensional DFTs.
(line 106)
* DFT <2>: The 1d Discrete Fourier Transform (DFT).
(line 6)
* DHT: The Discrete Hartley Transform.
(line 17)
* DHT <1>: 1d Discrete Hartley Transforms (DHTs).
(line 6)
* discrete cosine transform: Real even/odd DFTs (cosine/sine transforms).
(line 15)
* discrete cosine transform <1>: Real-to-Real Transform Kinds.
(line 32)
* discrete cosine transform <2>: 1d Real-even DFTs (DCTs).
(line 24)
* discrete Fourier transform: Introduction. (line 9)
* discrete Fourier transform <1>: The 1d Discrete Fourier Transform (DFT).
(line 6)
* discrete Hartley transform: The Discrete Hartley Transform.
(line 17)
* discrete Hartley transform <1>: Real-to-Real Transform Kinds.
(line 29)
* discrete Hartley transform <2>: 1d Discrete Hartley Transforms (DHTs).
(line 6)
* discrete sine transform: Real even/odd DFTs (cosine/sine transforms).
(line 15)
* discrete sine transform <1>: Real-to-Real Transform Kinds.
(line 46)
* discrete sine transform <2>: 1d Real-odd DFTs (DSTs).
(line 24)
* dist: Advanced Complex DFTs.
(line 30)
* dist <1>: Guru vector and transform sizes.
(line 41)
* DST: Real even/odd DFTs (cosine/sine transforms).
(line 15)
* DST <1>: Real-to-Real Transform Kinds.
(line 46)
* DST <2>: 1d Real-odd DFTs (DSTs).
(line 24)
* Ecclesiastes: Caveats in Using Wisdom.
(line 7)
* execute: Introduction. (line 42)
* execute <1>: Complex One-Dimensional DFTs.
(line 91)
* execute <2>: New-array Execute Functions.
(line 6)
* FFTW: Introduction. (line 32)
* fftw-wisdom utility: Caveats in Using Wisdom.
(line 40)
* fftw-wisdom utility <1>: Wisdom Utilities. (line 15)
* fftw-wisdom-to-conf utility: Wisdom Utilities. (line 26)
* flags: Complex One-Dimensional DFTs.
(line 65)
* flags <1>: One-Dimensional DFTs of Real Data.
(line 61)
* flags <2>: Complex DFTs. (line 74)
* flags <3>: Real-data DFTs. (line 69)
* flags <4>: Real-to-Real Transforms.
(line 75)
* flags <5>: Guru Complex DFTs. (line 25)
* flags <6>: Guru Real-data DFTs. (line 58)
* flags <7>: Guru Real-to-real Transforms.
(line 27)
* flags <8>: Overview of Fortran interface.
(line 67)
* flags <9>: FFTW Constants in Fortran.
(line 18)
* Fortran interface: Column-major Format. (line 20)
* Fortran interface <1>: FFTW MPI Fortran Interface.
(line 6)
* Fortran interface <2>: Calling FFTW from Modern Fortran.
(line 6)
* Fortran interface <3>: Calling FFTW from Legacy Fortran.
(line 6)
* Fortran-callable wrappers: Installation on Unix.
(line 92)
* frequency: Complex One-Dimensional DFTs.
(line 87)
* frequency <1>: The 1d Discrete Fourier Transform (DFT).
(line 17)
* g77: Installation on Unix.
(line 113)
* guru interface: Introduction. (line 64)
* guru interface <1>: Complex Multi-Dimensional DFTs.
(line 62)
* guru interface <2>: Guru Interface. (line 6)
* guru interface <3>: FFTW Fortran type reference.
(line 53)
* guru interface <4>: Fortran-interface routines.
(line 43)
* halfcomplex format: One-Dimensional DFTs of Real Data.
(line 75)
* halfcomplex format <1>: The Halfcomplex-format DFT.
(line 9)
* halfcomplex format <2>: The 1d Real-data DFT.
(line 21)
* hc2r: The Halfcomplex-format DFT.
(line 9)
* hc2r <1>: Planner Flags. (line 73)
* HDF5: 2d MPI example. (line 90)
* Hermitian: One-Dimensional DFTs of Real Data.
(line 7)
* Hermitian <1>: The 1d Real-data DFT.
(line 10)
* howmany loop: Guru vector and transform sizes.
(line 41)
* howmany parameter: Advanced Complex DFTs.
(line 30)
* IDCT: Real even/odd DFTs (cosine/sine transforms).
(line 40)
* IDCT <1>: Real even/odd DFTs (cosine/sine transforms).
(line 66)
* IDCT <2>: Real-to-Real Transform Kinds.
(line 40)
* IDCT <3>: 1d Real-even DFTs (DCTs).
(line 51)
* in-place: Complex One-Dimensional DFTs.
(line 58)
* in-place <1>: One-Dimensional DFTs of Real Data.
(line 47)
* in-place <2>: Complex DFTs. (line 61)
* in-place <3>: Real-data DFTs. (line 62)
* in-place <4>: Real-data DFT Array Format.
(line 31)
* in-place <5>: Real-to-Real Transforms.
(line 63)
* in-place <6>: Guru Real-data DFTs. (line 48)
* in-place <7>: Guru Real-data DFTs. (line 63)
* in-place <8>: An improved replacement for MPI_Alltoall.
(line 34)
* in-place <9>: Reversing array dimensions.
(line 53)
* in-place <10>: FFTW Fortran type reference.
(line 37)
* installation: Installation and Customization.
(line 6)
* interleaved format: Interleaved and split arrays.
(line 13)
* iso_c_binding: FFTW MPI Fortran Interface.
(line 6)
* iso_c_binding <1>: Overview of Fortran interface.
(line 12)
* iso_c_binding <2>: Extended and quadruple precision in Fortran.
(line 17)
* kind (r2r): More DFTs of Real Data.
(line 51)
* kind (r2r) <1>: Real-to-Real Transform Kinds.
(line 6)
* linking on Unix: Usage of Multi-threaded FFTW.
(line 16)
* linking on Unix <1>: Linking and Initializing MPI FFTW.
(line 11)
* LISP: Acknowledgments. (line 47)
* load balancing: Load balancing. (line 6)
* load balancing <1>: FFTW MPI Performance Tips.
(line 14)
* monadic programming: Generating your own code.
(line 29)
* MPI: Distributed-memory FFTW with MPI.
(line 6)
* MPI <1>: Installation on Unix.
(line 86)
* MPI communicator: Distributed-memory FFTW with MPI.
(line 34)
* MPI communicator <1>: Using MPI Plans. (line 10)
* MPI communicator <2>: MPI Plan Creation. (line 27)
* MPI communicator <3>: FFTW MPI Fortran Interface.
(line 32)
* MPI I/O: 2d MPI example. (line 90)
* MPI I/O <1>: FFTW MPI Wisdom. (line 10)
* mpicc: FFTW MPI Installation.
(line 23)
* mpicc <1>: Linking and Initializing MPI FFTW.
(line 11)
* new-array execution: New-array Execute Functions.
(line 6)
* new-array execution <1>: Using MPI Plans. (line 14)
* new-array execution <2>: MPI Plan Creation. (line 190)
* new-array execution <3>: FFTW MPI Fortran Interface.
(line 50)
* normalization: Complex One-Dimensional DFTs.
(line 106)
* normalization <1>: Multi-Dimensional DFTs of Real Data.
(line 65)
* normalization <2>: The Halfcomplex-format DFT.
(line 23)
* normalization <3>: Real even/odd DFTs (cosine/sine transforms).
(line 66)
* normalization <4>: The Discrete Hartley Transform.
(line 21)
* normalization <5>: Complex DFTs. (line 80)
* normalization <6>: Real-data DFTs. (line 95)
* normalization <7>: Real-to-Real Transform Kinds.
(line 18)
* normalization <8>: The 1d Discrete Fourier Transform (DFT).
(line 12)
* normalization <9>: The 1d Real-data DFT.
(line 31)
* normalization <10>: 1d Real-even DFTs (DCTs).
(line 68)
* normalization <11>: 1d Real-odd DFTs (DSTs).
(line 63)
* normalization <12>: 1d Discrete Hartley Transforms (DHTs).
(line 10)
* number of threads: How Many Threads to Use?.
(line 6)
* OpenMP: Installation and Supported Hardware/Software.
(line 14)
* OpenMP <1>: Usage of Multi-threaded FFTW.
(line 11)
* OpenMP <2>: Usage of Multi-threaded FFTW.
(line 48)
* OpenMP <3>: Thread safety. (line 6)
* out-of-place: Planner Flags. (line 63)
* out-of-place <1>: Real-data DFT Array Format.
(line 27)
* padding: One-Dimensional DFTs of Real Data.
(line 17)
* padding <1>: Multi-Dimensional DFTs of Real Data.
(line 44)
* padding <2>: Real-data DFTs. (line 67)
* padding <3>: Real-data DFT Array Format.
(line 31)
* padding <4>: Multi-dimensional MPI DFTs of Real Data.
(line 22)
* padding <5>: Reversing array dimensions.
(line 53)
* parallel transform: Multi-threaded FFTW. (line 6)
* parallel transform <1>: Distributed-memory FFTW with MPI.
(line 6)
* partial order: Complex Multi-Dimensional DFTs.
(line 57)
* plan: Introduction. (line 41)
* plan <1>: Complex One-Dimensional DFTs.
(line 44)
* planner: Introduction. (line 40)
* portability: SIMD alignment and fftw_malloc.
(line 21)
* portability <1>: Caveats in Using Wisdom.
(line 9)
* portability <2>: Complex numbers. (line 35)
* portability <3>: Installation and Supported Hardware/Software.
(line 14)
* portability <4>: Calling FFTW from Modern Fortran.
(line 14)
* portability <5>: FFTW Fortran type reference.
(line 68)
* portability <6>: Fortran-interface routines.
(line 21)
* portability <7>: Fortran-interface routines.
(line 66)
* portability <8>: Wisdom of Fortran?. (line 11)
* portability <9>: Installation and Customization.
(line 16)
* precision: Complex One-Dimensional DFTs.
(line 118)
* precision <1>: One-Dimensional DFTs of Real Data.
(line 41)
* precision <2>: SIMD alignment and fftw_malloc.
(line 12)
* precision <3>: Precision. (line 6)
* precision <4>: Memory Allocation. (line 36)
* precision <5>: Linking and Initializing MPI FFTW.
(line 11)
* precision <6>: MPI Files and Data Types.
(line 18)
* precision <7>: Extended and quadruple precision in Fortran.
(line 6)
* precision <8>: FFTW Fortran type reference.
(line 12)
* precision <9>: Installation on Unix.
(line 45)
* precision <10>: Installation on Unix.
(line 49)
* precision <11>: Installation on Unix.
(line 55)
* r2c: One-Dimensional DFTs of Real Data.
(line 37)
* r2c <1>: The Halfcomplex-format DFT.
(line 6)
* r2c <2>: Real-data DFTs. (line 18)
* r2c <3>: Multi-dimensional Transforms.
(line 14)
* r2c <4>: MPI Plan Creation. (line 81)
* r2c/c2r multi-dimensional array format: Multi-Dimensional DFTs of Real Data.
(line 26)
* r2c/c2r multi-dimensional array format <1>: Real-data DFT Array Format.
(line 6)
* r2c/c2r multi-dimensional array format <2>: Reversing array dimensions.
(line 37)
* r2c/c2r multi-dimensional array format <3>: Fortran Examples.
(line 99)
* r2hc: The Halfcomplex-format DFT.
(line 6)
* r2r: More DFTs of Real Data.
(line 13)
* r2r <1>: Real-to-Real Transforms.
(line 6)
* r2r <2>: The 1d Real-data DFT.
(line 21)
* r2r <3>: Other Multi-dimensional Real-data MPI Transforms.
(line 6)
* r2r <4>: MPI Plan Creation. (line 143)
* rank: Complex Multi-Dimensional DFTs.
(line 31)
* real-even DFT: Real even/odd DFTs (cosine/sine transforms).
(line 15)
* real-even DFT <1>: 1d Real-even DFTs (DCTs).
(line 9)
* real-odd DFT: Real even/odd DFTs (cosine/sine transforms).
(line 15)
* real-odd DFT <1>: 1d Real-odd DFTs (DSTs).
(line 9)
* REDFT: Real even/odd DFTs (cosine/sine transforms).
(line 15)
* REDFT <1>: 1d Real-even DFTs (DCTs).
(line 9)
* REDFT <2>: Generating your own code.
(line 20)
* RODFT: Real even/odd DFTs (cosine/sine transforms).
(line 15)
* RODFT <1>: 1d Real-odd DFTs (DSTs).
(line 9)
* row-major: Row-major Format. (line 6)
* row-major <1>: Complex DFTs. (line 47)
* row-major <2>: Real-to-Real Transforms.
(line 46)
* row-major <3>: Guru vector and transform sizes.
(line 50)
* row-major <4>: Basic and advanced distribution interfaces.
(line 32)
* row-major <5>: Multi-dimensional MPI DFTs of Real Data.
(line 83)
* row-major <6>: Reversing array dimensions.
(line 6)
* saving plans to disk: Words of Wisdom-Saving Plans.
(line 6)
* saving plans to disk <1>: Wisdom. (line 6)
* saving plans to disk <2>: FFTW MPI Wisdom. (line 6)
* saving plans to disk <3>: Accessing the wisdom API from Fortran.
(line 6)
* shared-memory: Multi-threaded FFTW. (line 24)
* SIMD: Complex One-Dimensional DFTs.
(line 38)
* SIMD <1>: SIMD alignment and fftw_malloc.
(line 12)
* SIMD <2>: Overview of Fortran interface.
(line 50)
* split format: Interleaved and split arrays.
(line 16)
* SSE: SIMD alignment and fftw_malloc.
(line 12)
* SSE2: SIMD alignment and fftw_malloc.
(line 12)
* stride: Row-major Format. (line 31)
* stride <1>: Advanced Complex DFTs.
(line 47)
* stride <2>: Guru vector and transform sizes.
(line 28)
* stride <3>: MPI Plan Creation. (line 43)
* thread safety: Usage of Multi-threaded FFTW.
(line 54)
* thread safety <1>: Thread safety. (line 6)
* thread safety <2>: Combining MPI and Threads.
(line 53)
* threads: Multi-threaded FFTW. (line 24)
* threads <1>: Thread safety. (line 6)
* threads <2>: Combining MPI and Threads.
(line 6)
* threads <3>: Installation on Unix.
(line 63)
* transpose: Transposed distributions.
(line 15)
* transpose <1>: Multi-dimensional MPI DFTs of Real Data.
(line 90)
* transpose <2>: FFTW MPI Transposes. (line 6)
* transpose <3>: FFTW MPI Performance Tips.
(line 19)
* transpose <4>: Combining MPI and Threads.
(line 75)
* transpose <5>: MPI Plan Creation. (line 178)
* vector: Guru Interface. (line 10)
* VSX: SIMD alignment and fftw_malloc.
(line 12)
* wisdom: Words of Wisdom-Saving Plans.
(line 6)
* wisdom <1>: Wisdom. (line 6)
* wisdom <2>: FFTW MPI Wisdom. (line 6)
* wisdom <3>: Accessing the wisdom API from Fortran.
(line 6)
* wisdom, problems with: Caveats in Using Wisdom.
(line 6)
* wisdom, system-wide: Caveats in Using Wisdom.
(line 33)
* wisdom, system-wide <1>: Wisdom Import. (line 37)
File: fftw3.info, Node: Library Index, Prev: Concept Index, Up: Top
14 Library Index
****************
�[index�]
* Menu:
* c_associated: Wisdom String Export/Import from Fortran.
(line 36)
* C_DOUBLE: Overview of Fortran interface.
(line 34)
* C_DOUBLE <1>: FFTW Fortran type reference.
(line 12)
* C_DOUBLE_COMPLEX: Overview of Fortran interface.
(line 34)
* C_DOUBLE_COMPLEX <1>: FFTW Fortran type reference.
(line 12)
* C_FFTW_R2R_KIND: FFTW Fortran type reference.
(line 32)
* C_FLOAT: FFTW Fortran type reference.
(line 12)
* C_FLOAT_COMPLEX: FFTW Fortran type reference.
(line 12)
* c_funloc: Wisdom Generic Export/Import from Fortran.
(line 25)
* C_FUNPTR: FFTW Fortran type reference.
(line 61)
* c_f_pointer: Reversing array dimensions.
(line 63)
* c_f_pointer <1>: FFTW Fortran type reference.
(line 48)
* c_f_pointer <2>: Allocating aligned memory in Fortran.
(line 37)
* c_f_pointer <3>: Wisdom String Export/Import from Fortran.
(line 36)
* c_f_pointer <4>: Wisdom Generic Export/Import from Fortran.
(line 27)
* C_INT: Overview of Fortran interface.
(line 34)
* C_INT <1>: FFTW Fortran type reference.
(line 27)
* C_INTPTR_T: FFTW Fortran type reference.
(line 27)
* c_loc: Wisdom Generic Export/Import from Fortran.
(line 27)
* C_LONG_DOUBLE: FFTW Fortran type reference.
(line 12)
* C_LONG_DOUBLE_COMPLEX: FFTW Fortran type reference.
(line 12)
* C_PTR: Overview of Fortran interface.
(line 34)
* C_SIZE_T: FFTW Fortran type reference.
(line 27)
* dfftw_destroy_plan: Fortran Examples. (line 25)
* dfftw_execute: FFTW Execution in Fortran.
(line 11)
* dfftw_execute_dft: FFTW Execution in Fortran.
(line 28)
* dfftw_execute_dft <1>: Fortran Examples. (line 25)
* dfftw_execute_dft_r2c: Fortran Examples. (line 81)
* dfftw_export_wisdom: Wisdom of Fortran?. (line 17)
* dfftw_forget_wisdom: Wisdom of Fortran?. (line 17)
* dfftw_import_system_wisdom: Wisdom of Fortran?. (line 17)
* dfftw_import_wisdom: Wisdom of Fortran?. (line 17)
* dfftw_init_threads: Fortran Examples. (line 36)
* dfftw_planner_nthreads: Fortran Examples. (line 45)
* dfftw_plan_dft_1d: Fortran Examples. (line 25)
* dfftw_plan_dft_3d: Fortran Examples. (line 66)
* dfftw_plan_dft_r2c_1d: Fortran Examples. (line 81)
* dfftw_plan_dft_r2c_2d: Fortran Examples. (line 94)
* dfftw_plan_with_nthreads: Fortran Examples. (line 36)
* fftw_alignment_of: Planner Flags. (line 75)
* fftw_alignment_of <1>: New-array Execute Functions.
(line 45)
* fftw_alloc_complex: Complex One-Dimensional DFTs.
(line 38)
* fftw_alloc_complex <1>: SIMD alignment and fftw_malloc.
(line 34)
* fftw_alloc_complex <2>: Memory Allocation. (line 33)
* fftw_alloc_complex <3>: Basic and advanced distribution interfaces.
(line 42)
* fftw_alloc_complex <4>: Reversing array dimensions.
(line 63)
* fftw_alloc_complex <5>: Allocating aligned memory in Fortran.
(line 6)
* fftw_alloc_real: SIMD alignment and fftw_malloc.
(line 34)
* fftw_alloc_real <1>: Memory Allocation. (line 33)
* fftw_alloc_real <2>: Multi-dimensional MPI DFTs of Real Data.
(line 83)
* fftw_alloc_real <3>: Other Multi-dimensional Real-data MPI Transforms.
(line 44)
* fftw_alloc_real <4>: FFTW Fortran type reference.
(line 48)
* fftw_alloc_real <5>: Allocating aligned memory in Fortran.
(line 6)
* FFTW_BACKWARD: Complex One-Dimensional DFTs.
(line 61)
* FFTW_BACKWARD <1>: One-Dimensional DFTs of Real Data.
(line 39)
* FFTW_BACKWARD <2>: Complex DFTs. (line 70)
* fftw_cleanup: Using Plans. (line 36)
* fftw_cleanup <1>: MPI Initialization. (line 21)
* fftw_cleanup_threads: Usage of Multi-threaded FFTW.
(line 66)
* fftw_complex: Complex One-Dimensional DFTs.
(line 42)
* fftw_complex <1>: Complex numbers. (line 11)
* fftw_complex <2>: Overview of Fortran interface.
(line 34)
* fftw_complex <3>: FFTW Fortran type reference.
(line 12)
* fftw_cost: Using Plans. (line 61)
* FFTW_DESTROY_INPUT: Planner Flags. (line 61)
* FFTW_DESTROY_INPUT <1>: FFTW MPI Performance Tips.
(line 24)
* FFTW_DESTROY_INPUT <2>: FFTW Fortran type reference.
(line 37)
* fftw_destroy_plan: Complex One-Dimensional DFTs.
(line 100)
* fftw_destroy_plan <1>: Using Plans. (line 27)
* fftw_destroy_plan <2>: Avoiding MPI Deadlocks.
(line 19)
* fftw_destroy_plan <3>: Overview of Fortran interface.
(line 24)
* FFTW_DHT: The Discrete Hartley Transform.
(line 17)
* FFTW_DHT <1>: Real-to-Real Transform Kinds.
(line 28)
* FFTW_ESTIMATE: Complex One-Dimensional DFTs.
(line 71)
* FFTW_ESTIMATE <1>: Words of Wisdom-Saving Plans.
(line 22)
* FFTW_ESTIMATE <2>: Planner Flags. (line 28)
* FFTW_ESTIMATE <3>: Cycle Counters. (line 18)
* fftw_execute: Complex One-Dimensional DFTs.
(line 85)
* fftw_execute <1>: Using Plans. (line 13)
* fftw_execute <2>: New-array Execute Functions.
(line 8)
* fftw_execute <3>: Basic distributed-transpose interface.
(line 17)
* fftw_execute <4>: Avoiding MPI Deadlocks.
(line 19)
* fftw_execute <5>: Overview of Fortran interface.
(line 57)
* fftw_execute <6>: Plan execution in Fortran.
(line 11)
* fftw_execute_dft: New-array Execute Functions.
(line 89)
* fftw_execute_dft <1>: FFTW MPI Fortran Interface.
(line 50)
* fftw_execute_dft <2>: Overview of Fortran interface.
(line 24)
* fftw_execute_dft <3>: Plan execution in Fortran.
(line 28)
* fftw_execute_dft_c2r: New-array Execute Functions.
(line 89)
* fftw_execute_dft_c2r <1>: Plan execution in Fortran.
(line 31)
* fftw_execute_dft_r2c: New-array Execute Functions.
(line 89)
* fftw_execute_dft_r2c <1>: Reversing array dimensions.
(line 46)
* fftw_execute_dft_r2c <2>: Plan execution in Fortran.
(line 31)
* fftw_execute_r2r: New-array Execute Functions.
(line 89)
* fftw_execute_r2r <1>: Plan execution in Fortran.
(line 31)
* fftw_execute_split_dft: New-array Execute Functions.
(line 89)
* fftw_execute_split_dft_c2r: New-array Execute Functions.
(line 89)
* fftw_execute_split_dft_r2c: New-array Execute Functions.
(line 89)
* FFTW_EXHAUSTIVE: Words of Wisdom-Saving Plans.
(line 22)
* FFTW_EXHAUSTIVE <1>: Planner Flags. (line 43)
* fftw_export_wisdom: Wisdom Export. (line 10)
* fftw_export_wisdom <1>: Wisdom Generic Export/Import from Fortran.
(line 12)
* fftw_export_wisdom_to_file: Wisdom Export. (line 10)
* fftw_export_wisdom_to_filename: Words of Wisdom-Saving Plans.
(line 29)
* fftw_export_wisdom_to_filename <1>: Wisdom Export. (line 10)
* fftw_export_wisdom_to_filename <2>: Wisdom File Export/Import from Fortran.
(line 6)
* fftw_export_wisdom_to_string: Wisdom Export. (line 10)
* fftw_export_wisdom_to_string <1>: Wisdom String Export/Import from Fortran.
(line 6)
* fftw_flops: Using Plans. (line 67)
* fftw_flops <1>: Avoiding MPI Deadlocks.
(line 19)
* fftw_flops <2>: FFTW Fortran type reference.
(line 37)
* fftw_forget_wisdom: Words of Wisdom-Saving Plans.
(line 48)
* fftw_forget_wisdom <1>: Forgetting Wisdom. (line 7)
* FFTW_FORWARD: Complex One-Dimensional DFTs.
(line 61)
* FFTW_FORWARD <1>: One-Dimensional DFTs of Real Data.
(line 39)
* FFTW_FORWARD <2>: Complex DFTs. (line 70)
* fftw_fprint_plan: Using Plans. (line 82)
* fftw_free: Complex One-Dimensional DFTs.
(line 101)
* fftw_free <1>: SIMD alignment and fftw_malloc.
(line 24)
* fftw_free <2>: Memory Allocation. (line 8)
* FFTW_HC2R: The Halfcomplex-format DFT.
(line 9)
* FFTW_HC2R <1>: Real-to-Real Transform Kinds.
(line 25)
* fftw_import wisdom_from_filename: Wisdom File Export/Import from Fortran.
(line 6)
* fftw_import_system_wisdom: Caveats in Using Wisdom.
(line 36)
* fftw_import_system_wisdom <1>: Wisdom Import. (line 10)
* fftw_import_wisdom: Wisdom Import. (line 10)
* fftw_import_wisdom <1>: Wisdom Generic Export/Import from Fortran.
(line 37)
* fftw_import_wisdom_from_file: Wisdom Import. (line 10)
* fftw_import_wisdom_from_filename: Words of Wisdom-Saving Plans.
(line 35)
* fftw_import_wisdom_from_filename <1>: Wisdom Import. (line 10)
* fftw_import_wisdom_from_string: Wisdom Import. (line 10)
* fftw_import_wisdom_from_string <1>: Wisdom String Export/Import from Fortran.
(line 44)
* fftw_init_threads: Usage of Multi-threaded FFTW.
(line 22)
* fftw_init_threads <1>: Linking and Initializing MPI FFTW.
(line 13)
* fftw_init_threads <2>: Combining MPI and Threads.
(line 35)
* fftw_init_threads <3>: MPI Initialization. (line 11)
* fftw_iodim: Guru vector and transform sizes.
(line 15)
* fftw_iodim <1>: FFTW Fortran type reference.
(line 53)
* fftw_iodim <2>: Fortran-interface routines.
(line 43)
* fftw_iodim64: 64-bit Guru Interface.
(line 46)
* fftw_iodim64 <1>: FFTW Fortran type reference.
(line 53)
* fftw_make_planner_thread_safe: Thread safety. (line 51)
* fftw_malloc: Complex One-Dimensional DFTs.
(line 34)
* fftw_malloc <1>: SIMD alignment and fftw_malloc.
(line 24)
* fftw_malloc <2>: Dynamic Arrays in C. (line 15)
* fftw_malloc <3>: Memory Allocation. (line 8)
* fftw_malloc <4>: Planner Flags. (line 75)
* fftw_malloc <5>: Basic and advanced distribution interfaces.
(line 42)
* fftw_malloc <6>: Using MPI Plans. (line 24)
* fftw_malloc <7>: FFTW Fortran type reference.
(line 27)
* FFTW_MEASURE: Complex One-Dimensional DFTs.
(line 66)
* FFTW_MEASURE <1>: Words of Wisdom-Saving Plans.
(line 22)
* FFTW_MEASURE <2>: Planner Flags. (line 33)
* FFTW_MEASURE <3>: An improved replacement for MPI_Alltoall.
(line 43)
* fftw_mpi_broadcast_wisdom: FFTW MPI Wisdom. (line 29)
* fftw_mpi_broadcast_wisdom <1>: MPI Wisdom Communication.
(line 9)
* fftw_mpi_cleanup: Linking and Initializing MPI FFTW.
(line 24)
* fftw_mpi_cleanup <1>: MPI Initialization. (line 19)
* FFTW_MPI_DEFAULT_BLOCK: Basic and advanced distribution interfaces.
(line 71)
* FFTW_MPI_DEFAULT_BLOCK <1>: Advanced distributed-transpose interface.
(line 23)
* FFTW_MPI_DEFAULT_BLOCK <2>: MPI Plan Creation. (line 43)
* fftw_mpi_execute_dft: Using MPI Plans. (line 19)
* fftw_mpi_execute_dft <1>: FFTW MPI Fortran Interface.
(line 50)
* fftw_mpi_execute_dft_c2r: Using MPI Plans. (line 19)
* fftw_mpi_execute_dft_r2c: Using MPI Plans. (line 19)
* fftw_mpi_execute_r2r: Using MPI Plans. (line 19)
* fftw_mpi_execute_r2r <1>: MPI Plan Creation. (line 190)
* fftw_mpi_gather_wisdom: FFTW MPI Wisdom. (line 29)
* fftw_mpi_gather_wisdom <1>: MPI Wisdom Communication.
(line 9)
* fftw_mpi_init: Linking and Initializing MPI FFTW.
(line 18)
* fftw_mpi_init <1>: 2d MPI example. (line 50)
* fftw_mpi_init <2>: FFTW MPI Wisdom. (line 55)
* fftw_mpi_init <3>: Combining MPI and Threads.
(line 35)
* fftw_mpi_init <4>: MPI Initialization. (line 9)
* fftw_mpi_local_size: MPI Data Distribution Functions.
(line 16)
* fftw_mpi_local_size_1d: One-dimensional distributions.
(line 18)
* fftw_mpi_local_size_1d <1>: MPI Data Distribution Functions.
(line 66)
* fftw_mpi_local_size_2d: 2d MPI example. (line 81)
* fftw_mpi_local_size_2d <1>: Basic and advanced distribution interfaces.
(line 19)
* fftw_mpi_local_size_2d <2>: MPI Data Distribution Functions.
(line 16)
* fftw_mpi_local_size_2d_transposed: Basic distributed-transpose interface.
(line 39)
* fftw_mpi_local_size_2d_transposed <1>: MPI Data Distribution Functions.
(line 16)
* fftw_mpi_local_size_3d: MPI Data Distribution Functions.
(line 16)
* fftw_mpi_local_size_3d_transposed: Transposed distributions.
(line 52)
* fftw_mpi_local_size_3d_transposed <1>: MPI Data Distribution Functions.
(line 16)
* fftw_mpi_local_size_many: Basic and advanced distribution interfaces.
(line 54)
* fftw_mpi_local_size_many <1>: MPI Data Distribution Functions.
(line 47)
* fftw_mpi_local_size_many_1d: MPI Data Distribution Functions.
(line 66)
* fftw_mpi_local_size_many_transposed: Advanced distributed-transpose interface.
(line 23)
* fftw_mpi_local_size_many_transposed <1>: MPI Data Distribution Functions.
(line 47)
* fftw_mpi_local_size_transposed: MPI Data Distribution Functions.
(line 16)
* fftw_mpi_plan_dft: MPI Plan Creation. (line 11)
* fftw_mpi_plan_dft_1d: MPI Plan Creation. (line 11)
* fftw_mpi_plan_dft_2d: 2d MPI example. (line 61)
* fftw_mpi_plan_dft_2d <1>: MPI Plan Creation. (line 11)
* fftw_mpi_plan_dft_3d: MPI Plan Creation. (line 11)
* fftw_mpi_plan_dft_c2r: MPI Plan Creation. (line 84)
* fftw_mpi_plan_dft_c2r_2d: MPI Plan Creation. (line 84)
* fftw_mpi_plan_dft_c2r_2d <1>: MPI Plan Creation. (line 84)
* fftw_mpi_plan_dft_c2r_3d: MPI Plan Creation. (line 84)
* fftw_mpi_plan_dft_r2c: MPI Plan Creation. (line 84)
* fftw_mpi_plan_dft_r2c_2d: MPI Plan Creation. (line 84)
* fftw_mpi_plan_dft_r2c_2d <1>: MPI Plan Creation. (line 84)
* fftw_mpi_plan_dft_r2c_3d: MPI Plan Creation. (line 84)
* fftw_mpi_plan_many_dft: MPI Plan Creation. (line 11)
* fftw_mpi_plan_many_dft_c2r: MPI Plan Creation. (line 129)
* fftw_mpi_plan_many_dft_r2c: MPI Plan Creation. (line 129)
* fftw_mpi_plan_many_transpose: Advanced distributed-transpose interface.
(line 15)
* fftw_mpi_plan_many_transpose <1>: MPI Plan Creation. (line 182)
* fftw_mpi_plan_transpose: Basic distributed-transpose interface.
(line 14)
* fftw_mpi_plan_transpose <1>: MPI Plan Creation. (line 182)
* FFTW_MPI_SCRAMBLED_IN: One-dimensional distributions.
(line 43)
* FFTW_MPI_SCRAMBLED_IN <1>: MPI Data Distribution Functions.
(line 76)
* FFTW_MPI_SCRAMBLED_IN <2>: MPI Plan Creation. (line 65)
* FFTW_MPI_SCRAMBLED_OUT: One-dimensional distributions.
(line 43)
* FFTW_MPI_SCRAMBLED_OUT <1>: MPI Data Distribution Functions.
(line 76)
* FFTW_MPI_SCRAMBLED_OUT <2>: MPI Plan Creation. (line 65)
* FFTW_MPI_TRANSPOSED_IN: Transposed distributions.
(line 26)
* FFTW_MPI_TRANSPOSED_IN <1>: Basic distributed-transpose interface.
(line 28)
* FFTW_MPI_TRANSPOSED_IN <2>: MPI Plan Creation. (line 72)
* FFTW_MPI_TRANSPOSED_OUT: Transposed distributions.
(line 26)
* FFTW_MPI_TRANSPOSED_OUT <1>: Basic distributed-transpose interface.
(line 28)
* FFTW_MPI_TRANSPOSED_OUT <2>: MPI Plan Creation. (line 72)
* FFTW_NO_TIMELIMIT: Planner Flags. (line 95)
* FFTW_PATIENT: Complex One-Dimensional DFTs.
(line 122)
* FFTW_PATIENT <1>: Words of Wisdom-Saving Plans.
(line 22)
* FFTW_PATIENT <2>: Planner Flags. (line 38)
* FFTW_PATIENT <3>: How Many Threads to Use?.
(line 20)
* FFTW_PATIENT <4>: An improved replacement for MPI_Alltoall.
(line 43)
* fftw_plan: Complex One-Dimensional DFTs.
(line 50)
* fftw_plan <1>: Using Plans. (line 8)
* fftw_plan <2>: FFTW Fortran type reference.
(line 9)
* fftw_planner_nthreads: Usage of Multi-threaded FFTW.
(line 47)
* fftw_plan_dft: Complex Multi-Dimensional DFTs.
(line 40)
* fftw_plan_dft <1>: Complex DFTs. (line 18)
* fftw_plan_dft_1d: Complex One-Dimensional DFTs.
(line 50)
* fftw_plan_dft_1d <1>: Complex DFTs. (line 18)
* fftw_plan_dft_2d: Complex Multi-Dimensional DFTs.
(line 21)
* fftw_plan_dft_2d <1>: Complex DFTs. (line 18)
* fftw_plan_dft_2d <2>: Overview of Fortran interface.
(line 24)
* fftw_plan_dft_3d: Complex Multi-Dimensional DFTs.
(line 21)
* fftw_plan_dft_3d <1>: Complex DFTs. (line 18)
* fftw_plan_dft_3d <2>: Reversing array dimensions.
(line 22)
* fftw_plan_dft_c2r: Real-data DFTs. (line 88)
* fftw_plan_dft_c2r_1d: One-Dimensional DFTs of Real Data.
(line 35)
* fftw_plan_dft_c2r_1d <1>: Real-data DFTs. (line 88)
* fftw_plan_dft_c2r_2d: Real-data DFTs. (line 88)
* fftw_plan_dft_c2r_3d: Real-data DFTs. (line 88)
* fftw_plan_dft_r2c: Multi-Dimensional DFTs of Real Data.
(line 17)
* fftw_plan_dft_r2c <1>: Real-data DFTs. (line 18)
* fftw_plan_dft_r2c_1d: One-Dimensional DFTs of Real Data.
(line 35)
* fftw_plan_dft_r2c_1d <1>: Real-data DFTs. (line 18)
* fftw_plan_dft_r2c_2d: Multi-Dimensional DFTs of Real Data.
(line 17)
* fftw_plan_dft_r2c_2d <1>: Real-data DFTs. (line 18)
* fftw_plan_dft_r2c_3d: Multi-Dimensional DFTs of Real Data.
(line 17)
* fftw_plan_dft_r2c_3d <1>: Real-data DFTs. (line 18)
* fftw_plan_dft_r2c_3d <2>: Reversing array dimensions.
(line 46)
* fftw_plan_guru64_dft: 64-bit Guru Interface.
(line 36)
* fftw_plan_guru_dft: Guru Complex DFTs. (line 17)
* fftw_plan_guru_dft_c2r: Guru Real-data DFTs. (line 29)
* fftw_plan_guru_dft_r2c: Guru Real-data DFTs. (line 29)
* fftw_plan_guru_r2r: Guru Real-to-real Transforms.
(line 12)
* fftw_plan_guru_split_dft: Guru Complex DFTs. (line 17)
* fftw_plan_guru_split_dft_c2r: Guru Real-data DFTs. (line 29)
* fftw_plan_guru_split_dft_r2c: Guru Real-data DFTs. (line 29)
* fftw_plan_many_dft: Advanced Complex DFTs.
(line 12)
* fftw_plan_many_dft_c2r: Advanced Real-data DFTs.
(line 18)
* fftw_plan_many_dft_r2c: Advanced Real-data DFTs.
(line 18)
* fftw_plan_many_r2r: Advanced Real-to-real Transforms.
(line 12)
* fftw_plan_r2r: More DFTs of Real Data.
(line 39)
* fftw_plan_r2r <1>: Real-to-Real Transforms.
(line 19)
* fftw_plan_r2r_1d: More DFTs of Real Data.
(line 39)
* fftw_plan_r2r_1d <1>: Real-to-Real Transforms.
(line 19)
* fftw_plan_r2r_2d: More DFTs of Real Data.
(line 39)
* fftw_plan_r2r_2d <1>: Real-to-Real Transforms.
(line 19)
* fftw_plan_r2r_3d: More DFTs of Real Data.
(line 39)
* fftw_plan_r2r_3d <1>: Real-to-Real Transforms.
(line 19)
* fftw_plan_with_nthreads: Usage of Multi-threaded FFTW.
(line 32)
* fftw_plan_with_nthreads <1>: Combining MPI and Threads.
(line 35)
* FFTW_PRESERVE_INPUT: One-Dimensional DFTs of Real Data.
(line 61)
* FFTW_PRESERVE_INPUT <1>: Planner Flags. (line 65)
* fftw_print_plan: Using Plans. (line 82)
* FFTW_R2HC: The Halfcomplex-format DFT.
(line 6)
* FFTW_R2HC <1>: Real-to-Real Transform Kinds.
(line 20)
* fftw_r2r_kind: More DFTs of Real Data.
(line 51)
* fftw_r2r_kind <1>: Other Multi-dimensional Real-data MPI Transforms.
(line 12)
* fftw_r2r_kind <2>: FFTW Fortran type reference.
(line 32)
* FFTW_REDFT00: Real even/odd DFTs (cosine/sine transforms).
(line 34)
* FFTW_REDFT00 <1>: Real-to-Real Transforms.
(line 31)
* FFTW_REDFT00 <2>: Real-to-Real Transform Kinds.
(line 31)
* FFTW_REDFT01: Real even/odd DFTs (cosine/sine transforms).
(line 40)
* FFTW_REDFT01 <1>: Real-to-Real Transform Kinds.
(line 38)
* FFTW_REDFT10: Real even/odd DFTs (cosine/sine transforms).
(line 37)
* FFTW_REDFT10 <1>: Real-to-Real Transform Kinds.
(line 34)
* FFTW_REDFT11: Real even/odd DFTs (cosine/sine transforms).
(line 43)
* FFTW_REDFT11 <1>: Real-to-Real Transform Kinds.
(line 42)
* FFTW_RODFT00: Real even/odd DFTs (cosine/sine transforms).
(line 44)
* FFTW_RODFT00 <1>: Real-to-Real Transform Kinds.
(line 45)
* FFTW_RODFT01: Real even/odd DFTs (cosine/sine transforms).
(line 48)
* FFTW_RODFT01 <1>: Real-to-Real Transform Kinds.
(line 51)
* FFTW_RODFT10: Real even/odd DFTs (cosine/sine transforms).
(line 46)
* FFTW_RODFT10 <1>: Real-to-Real Transform Kinds.
(line 48)
* FFTW_RODFT11: Real even/odd DFTs (cosine/sine transforms).
(line 51)
* FFTW_RODFT11 <1>: Real-to-Real Transform Kinds.
(line 54)
* fftw_set_timelimit: Planner Flags. (line 89)
* fftw_threads_set_callback: Usage of Multi-threaded FFTW.
(line 82)
* FFTW_TRANSPOSED_IN: Multi-dimensional MPI DFTs of Real Data.
(line 90)
* FFTW_TRANSPOSED_OUT: Multi-dimensional MPI DFTs of Real Data.
(line 90)
* FFTW_UNALIGNED: Planner Flags. (line 75)
* FFTW_UNALIGNED <1>: New-array Execute Functions.
(line 27)
* FFTW_UNALIGNED <2>: Plan execution in Fortran.
(line 53)
* FFTW_UNALIGNED <3>: FFTW Execution in Fortran.
(line 52)
* FFTW_WISDOM_ONLY: Planner Flags. (line 48)
* MPI_Alltoall: An improved replacement for MPI_Alltoall.
(line 9)
* MPI_Barrier: Avoiding MPI Deadlocks.
(line 12)
* MPI_COMM_WORLD: Distributed-memory FFTW with MPI.
(line 34)
* MPI_COMM_WORLD <1>: 2d MPI example. (line 61)
* MPI_Init: 2d MPI example. (line 50)
* ptrdiff_t: 64-bit Guru Interface.
(line 23)
* ptrdiff_t <1>: 2d MPI example. (line 69)
* ptrdiff_t <2>: FFTW Fortran type reference.
(line 27)
* R2HC: The 1d Real-data DFT.
(line 21)
* REDFT00: 1d Real-even DFTs (DCTs).
(line 11)
* REDFT00 <1>: 1d Real-even DFTs (DCTs).
(line 32)
* REDFT01: 1d Real-even DFTs (DCTs).
(line 47)
* REDFT10: 1d Real-even DFTs (DCTs).
(line 40)
* REDFT11: 1d Real-even DFTs (DCTs).
(line 56)
* RODFT00: 1d Real-odd DFTs (DSTs).
(line 11)
* RODFT00 <1>: 1d Real-odd DFTs (DSTs).
(line 32)
* RODFT01: 1d Real-odd DFTs (DSTs).
(line 44)
* RODFT10: 1d Real-odd DFTs (DSTs).
(line 38)
* RODFT11: 1d Real-odd DFTs (DSTs).
(line 51)