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