mirror of
https://github.com/tildearrow/furnace.git
synced 2024-11-23 21:15:11 +00:00
280 lines
7.5 KiB
Text
280 lines
7.5 KiB
Text
|
\input texinfo @c -*-texinfo-*-
|
||
|
|
@c Update by C-x C-e on: (texinfo-multiple-files-update "fftw3.texi" nil t)
|
||
|
|
@setfilename fftw3.info
|
||
|
|
@include version.texi
|
||
|
|
@finalout
|
||
|
|
@settitle FFTW @value{VERSION}
|
||
|
|
@setchapternewpage odd
|
||
|
|
@c define constant index (ct)
|
||
|
|
@defcodeindex ct
|
||
|
|
@syncodeindex ct fn
|
||
|
|
@syncodeindex vr fn
|
||
|
|
@syncodeindex pg fn
|
||
|
|
@syncodeindex tp fn
|
||
|
|
@c define foreign function index (ff)
|
||
|
|
@defcodeindex ff
|
||
|
|
@syncodeindex ff cp
|
||
|
|
@c define foreign constant index (fc)
|
||
|
|
@defcodeindex fc
|
||
|
|
@syncodeindex fc cp
|
||
|
|
@c define foreign program index (fp)
|
||
|
|
@defcodeindex fp
|
||
|
|
@syncodeindex fp cp
|
||
|
|
@comment %**end of header
|
||
|
|
|
||
|
|
@iftex
|
||
|
|
@paragraphindent 0
|
||
|
|
@parskip=@medskipamount
|
||
|
|
@end iftex
|
||
|
|
|
||
|
|
@c
|
||
|
|
@c The following macros are coded in a weird way:
|
||
|
|
|
||
|
|
@c @macro FOO
|
||
|
|
@c @noindent
|
||
|
|
@c <STUFF>
|
||
|
|
@c @refill
|
||
|
|
@c @end macro
|
||
|
|
|
||
|
|
@c The @noindent/@refill stuff is not necessary in texinfo up to version
|
||
|
|
@c 4, but it is a hack necessary to make texinfo-5 work.
|
||
|
|
|
||
|
|
@c Texinfo has been stable for the first 15 years of FFTW's history.
|
||
|
|
@c Then some genius, with too much time in his hands and on a mission to
|
||
|
|
@c deliver the world from the evil of the C language, decided to rewrite
|
||
|
|
@c makeinfo in Perl, the old C version of makeinfo being, as I said,
|
||
|
|
@c evil. The official excuse for the rewrite was that now I can have my
|
||
|
|
@c manual in XML format, as if XML were a feature.
|
||
|
|
|
||
|
|
@c The result of this stroke of genius is that texinfo-5 has different
|
||
|
|
@c rules for macro expansion than texinfo-4 does, specifically regarding
|
||
|
|
@c whether or not spaces after a macro are ignored. Texinfo-4 had weird
|
||
|
|
@c rules, but at least they were constant and internally more or less
|
||
|
|
@c consistent. Texinfo-5 has different rules, and even worse the rules
|
||
|
|
@c in texinfo-5 are inconsistent between the TeX and HTML output
|
||
|
|
@c processors. This situation makes it almost impossible for us to
|
||
|
|
@c produce a manual that works with both texinfo 4 and 5 in all modes
|
||
|
|
@c (TeX, info, and html). The @noindent/@refill hack is my best shot at
|
||
|
|
@c patching this situation.
|
||
|
|
|
||
|
|
@c "@noindent" has two effects: First, it makes texinfo-5 believe that
|
||
|
|
@c the next "@ifinfo" is on a new line, otherwise texinfo-5 complains
|
||
|
|
@c that it is not (even though it obviously is). Second, "@noindent" is
|
||
|
|
@c a macro that eats extra space, and we want this effect because somehow
|
||
|
|
@c macro expansion in texinfo-5 inserts extra spaces that were not there
|
||
|
|
@c in texinfo-4.
|
||
|
|
|
||
|
|
@c "@refill" stops texinfo-5 from interpreting the rest of the line after
|
||
|
|
@c a macro invocation as an argument to "@end tex". For example, in
|
||
|
|
@c "FFTW uses @Onlogn algorithms", somehow texinfo-5 thinks that
|
||
|
|
@c "algorithms" is an argument to "@end tex". "@noindent" would have the
|
||
|
|
@c same effect (as would any other macro invocation, I think), but,
|
||
|
|
@c unlike "@noindent", "@refill" does not eat spaces and does not scan
|
||
|
|
@c the rest of the input file for macro arguments. However, "@refill" is
|
||
|
|
@c deemed "obsolete" in the texinfo-5 source code, so expect this to
|
||
|
|
@c break at some point.
|
||
|
|
|
||
|
|
@c This situation is wholly unsatisfactory, and the GNU project is
|
||
|
|
@c obviously out of control. If this nonsense persists, we will abandon
|
||
|
|
@c texinfo and produce a latex-only version of the manual.
|
||
|
|
|
||
|
|
|
||
|
|
@macro Onlogn
|
||
|
|
@noindent
|
||
|
|
@ifinfo
|
||
|
|
O(n log n)
|
||
|
|
@end ifinfo
|
||
|
|
@html
|
||
|
|
<i>O</i>(<i>n</i> log <i>n</i>)
|
||
|
|
@end html
|
||
|
|
@tex
|
||
|
|
$O(n \\log n)$
|
||
|
|
@end tex
|
||
|
|
@refill
|
||
|
|
@end macro
|
||
|
|
|
||
|
|
@macro ndims
|
||
|
|
@noindent
|
||
|
|
@ifinfo
|
||
|
|
n[0] x n[1] x n[2] x ... x n[d-1]
|
||
|
|
@end ifinfo
|
||
|
|
@html
|
||
|
|
n<sub>0</sub> × n<sub>1</sub> × n<sub>2</sub> × … × n<sub>d-1</sub>
|
||
|
|
@end html
|
||
|
|
@tex
|
||
|
|
$n_0 \\times n_1 \\times n_2 \\times \\cdots \\times n_{d-1}$
|
||
|
|
@end tex
|
||
|
|
@refill
|
||
|
|
@end macro
|
||
|
|
|
||
|
|
@macro ndimshalf
|
||
|
|
@noindent
|
||
|
|
@ifinfo
|
||
|
|
n[0] x n[1] x n[2] x ... x (n[d-1]/2 + 1)
|
||
|
|
@end ifinfo
|
||
|
|
@html
|
||
|
|
n<sub>0</sub> × n<sub>1</sub> × n<sub>2</sub> × … × (n<sub>d-1</sub>/2 + 1)
|
||
|
|
@end html
|
||
|
|
@tex
|
||
|
|
$n_0 \\times n_1 \\times n_2 \\times \\cdots \\times (n_{d-1}/2 + 1)$
|
||
|
|
@end tex
|
||
|
|
@refill
|
||
|
|
@end macro
|
||
|
|
|
||
|
|
@macro ndimspad
|
||
|
|
@noindent
|
||
|
|
@ifinfo
|
||
|
|
n[0] x n[1] x n[2] x ... x [2 (n[d-1]/2 + 1)]
|
||
|
|
@end ifinfo
|
||
|
|
@html
|
||
|
|
n<sub>0</sub> × n<sub>1</sub> × n<sub>2</sub> × … × [2 (n<sub>d-1</sub>/2 + 1)]
|
||
|
|
@end html
|
||
|
|
@tex
|
||
|
|
$n_0 \\times n_1 \\times n_2 \\times \\cdots \\times [2(n_{d-1}/2 + 1)]$
|
||
|
|
@end tex
|
||
|
|
@refill
|
||
|
|
@end macro
|
||
|
|
|
||
|
|
@macro twodims{d1, d2}
|
||
|
|
@noindent
|
||
|
|
@ifinfo
|
||
|
|
\d1\ x \d2\
|
||
|
|
@end ifinfo
|
||
|
|
@html
|
||
|
|
\d1\ × \d2\
|
||
|
|
@end html
|
||
|
|
@tex
|
||
|
|
$\d1\ \\times \d2\$
|
||
|
|
@end tex
|
||
|
|
@refill
|
||
|
|
@end macro
|
||
|
|
|
||
|
|
@macro threedims{d1, d2, d3}
|
||
|
|
@noindent
|
||
|
|
@ifinfo
|
||
|
|
\d1\ x \d2\ x \d3\
|
||
|
|
@end ifinfo
|
||
|
|
@html
|
||
|
|
\d1\ × \d2\ × \d3\
|
||
|
|
@end html
|
||
|
|
@tex
|
||
|
|
$\d1\ \\times \d2\ \\times \d3\$
|
||
|
|
@end tex
|
||
|
|
@refill
|
||
|
|
@end macro
|
||
|
|
|
||
|
|
@macro dimk{k}
|
||
|
|
@noindent
|
||
|
|
@ifinfo
|
||
|
|
n[\k\]
|
||
|
|
@end ifinfo
|
||
|
|
@html
|
||
|
|
n<sub>\k\</sub>
|
||
|
|
@end html
|
||
|
|
@tex
|
||
|
|
$n_\k\$
|
||
|
|
@end tex
|
||
|
|
@refill
|
||
|
|
@end macro
|
||
|
|
|
||
|
|
|
||
|
|
@macro ndimstrans
|
||
|
|
@noindent
|
||
|
|
@ifinfo
|
||
|
|
n[1] x n[0] x n[2] x ... x n[d-1]
|
||
|
|
@end ifinfo
|
||
|
|
@html
|
||
|
|
n<sub>1</sub> × n<sub>0</sub> × n<sub>2</sub> ×…× n<sub>d-1</sub>
|
||
|
|
@end html
|
||
|
|
@tex
|
||
|
|
$n_1 \\times n_0 \\times n_2 \\times \\cdots \\times n_{d-1}$
|
||
|
|
@end tex
|
||
|
|
@refill
|
||
|
|
@end macro
|
||
|
|
|
||
|
|
@copying
|
||
|
|
This manual is for FFTW
|
||
|
|
(version @value{VERSION}, @value{UPDATED}).
|
||
|
|
|
||
|
|
Copyright @copyright{} 2003 Matteo Frigo.
|
||
|
|
|
||
|
|
Copyright @copyright{} 2003 Massachusetts Institute of Technology.
|
||
|
|
|
||
|
|
@quotation
|
||
|
|
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.
|
||
|
|
@end quotation
|
||
|
|
@end copying
|
||
|
|
|
||
|
|
@dircategory Development
|
||
|
|
@direntry
|
||
|
|
* fftw3: (fftw3). FFTW User's Manual.
|
||
|
|
@end direntry
|
||
|
|
|
||
|
|
@titlepage
|
||
|
|
@title FFTW
|
||
|
|
@subtitle for version @value{VERSION}, @value{UPDATED}
|
||
|
|
@author Matteo Frigo
|
||
|
|
@author Steven G. Johnson
|
||
|
|
@page
|
||
|
|
@vskip 0pt plus 1filll
|
||
|
|
@insertcopying
|
||
|
|
@end titlepage
|
||
|
|
|
||
|
|
@contents
|
||
|
|
|
||
|
|
@ifnottex
|
||
|
|
@node Top, Introduction, (dir), (dir)
|
||
|
|
@top FFTW User Manual
|
||
|
|
Welcome to FFTW, the Fastest Fourier Transform in the West. FFTW is a
|
||
|
|
collection of fast C routines to compute the discrete Fourier transform.
|
||
|
|
This manual documents FFTW version @value{VERSION}.
|
||
|
|
@end ifnottex
|
||
|
|
|
||
|
|
@menu
|
||
|
|
* Introduction::
|
||
|
|
* Tutorial::
|
||
|
|
* Other Important Topics::
|
||
|
|
* FFTW Reference::
|
||
|
|
* Multi-threaded FFTW::
|
||
|
|
* Distributed-memory FFTW with MPI::
|
||
|
|
* Calling FFTW from Modern Fortran::
|
||
|
|
* Calling FFTW from Legacy Fortran::
|
||
|
|
* Upgrading from FFTW version 2::
|
||
|
|
* Installation and Customization::
|
||
|
|
* Acknowledgments::
|
||
|
|
* License and Copyright::
|
||
|
|
* Concept Index::
|
||
|
|
* Library Index::
|
||
|
|
@end menu
|
||
|
|
|
||
|
|
@c ************************************************************
|
||
|
|
@include intro.texi
|
||
|
|
@include tutorial.texi
|
||
|
|
@include other.texi
|
||
|
|
@include reference.texi
|
||
|
|
@include threads.texi
|
||
|
|
@include mpi.texi
|
||
|
|
@include modern-fortran.texi
|
||
|
|
@include legacy-fortran.texi
|
||
|
|
@include upgrading.texi
|
||
|
|
@include install.texi
|
||
|
|
@include acknowledgements.texi
|
||
|
|
@include license.texi
|
||
|
|
@include cindex.texi
|
||
|
|
@include findex.texi
|
||
|
|
@c ************************************************************
|
||
|
|
|
||
|
|
@bye
|