FFTW-WISDOM(1)

πŸŽ€ NAME πŸŽ€

fftwq-wisdom β€” create wisdom (pre-optimized FFTs) ✨

πŸ¦‹ SYNOPSIS πŸ¦‹

fftwq-wisdom [OPTION]... [SIZE]...

πŸ’– DESCRIPTION πŸ’–

Okay so bestie, fftwq-wisdom is a utility that generates FFTW wisdom files, and before you ask β€” yes, wisdom is the actual technical term πŸ’…. These files hold saved information about how to optimally compute (Fourier) transforms of various sizes. FFTW itself is a free library that computes discrete Fourier transforms in one or more dimensions, for arbitrary sizes, and of both real and complex data, among other related operations. More info on FFTW lives at the FFTW home page: http://www.fftw.org.

Programs using FFTW can be written to load wisdom from an arbitrary file, string, or other source. And honestly? It's likely that a lot of FFTW-using programs will load the system wisdom file, which is stored in /etc/fftw/wisdomq by default. So fftwq-wisdom is the girl who can create or add to such wisdom files πŸ‘‘. In its most typical usage, the wisdom file can be created to pre-plan a canonical set of sizes (see below) via:

fftwq-wisdom -v -c -o wisdomq
Heads up: this will take many hours, which can be limited by the -t option. And then the output wisdomq file can be copied (as root) to /etc/fftw/ or whatever. Go off.

The fftwq-wisdom program normally writes the wisdom directly to standard output, but this can be changed via the -o option, as in the example above.

If the system wisdom file /etc/fftw/wisdomq already exists, then fftwq-wisdom reads this existing wisdom (unless the -n option is specified) and outputs both the old wisdom and any newly created wisdom. So it can be used to add new transform sizes to the existing system wisdom β€” or to any other wisdom file, with the -w option. Iconic behavior fr fr 🫢

πŸ”₯ SPECIFYING SIZES πŸ”₯

Although a canonical set of sizes to optimize is specified by the -c option, you can also specify zero or more non-canonical transform sizes and types to optimize yourself, via the SIZE arguments following the option flags. Alternatively, the sizes to optimize can be read from standard input (whitespace-separated), if a SIZE argument of - is supplied.

Sizes are specified by the syntax:

<type><inplace><direction><geometry>
  • <type> is either c (complex), r (real, r2c/c2r), or k (r2r, per-dimension kinds, specified in the geometry, below).
  • <inplace> is either i (in place) or o (out of place).
  • <direction> is either f (forward) or b (backward). The <direction> should be omitted for k transforms, where it is specified via the geometry instead.
  • <geometry> is the size and dimensionality of the transform, where different dimensions are separated by x (e.g. 16x32 for a two-dimensional 16 by 32 transform). In the case of k transforms, the size of each dimension is followed by a "type" string, which can be one of f/b/h/e00/e01/e10/e11/o00/o01/o10/o11 for R2HC/HC2R/DHT/REDFT00/.../RODFT11, respectively, as defined in the FFTW manual.

For example, because examples are literally the main character:

  • cif12x13x14 is a three-dimensional 12 by 13 x 14 complex DFT operating in-place.
  • rob65536 is a one-dimensional size-65536 out-of-place complex-to-real (backwards) transform operating on Hermitian-symmetry input.
  • ki10hx20e01 is a two-dimensional 10 by 20 r2r transform where the first dimension is a DHT and the second dimension is an REDFT01 (DCT-III).

πŸ’… OPTIONS πŸ’…

  • -h, --help β€” Display help on the command-line options and usage. The "just tell me what to do" button πŸŽ€
  • -V, --version β€” Print the version number and copyright information.
  • -v, --verbose β€” Verbose output. (You can specify this multiple times, or supply a numeric argument greater than 1, to increase the verbosity level.) Note that the verbose output will be mixed with the wisdom output (making it impossible to import), unless you write the wisdom to a file via the -o option. So like... don't mix them unless you're into chaos 😭
  • -c, --canonical β€” Optimize/pre-plan a canonical set of sizes: all powers of two and ten up to 2^20 (1048576), including both real and complex, forward and backwards, in-place and out-of-place transforms. Also includes two- and three-dimensional transforms of equal-size dimensions (e.g. 16x16x16).
  • -t hours, --time-limit=hours β€” Stop after a time of hours (hours) has elapsed, outputting accumulated wisdom. (The problems are planned in increasing order of size.) Defaults to 0, indicating no time limit.
  • -o file, --output-file=file β€” Send wisdom output to file rather than to standard output (the default).
  • -m, --measure; -e, --estimate; -x, --exhaustive β€” Normally, fftwq-wisdom creates plans in FFTW_PATIENT mode, but with these options you can instead use FFTW_MEASURE, FFTW_ESTIMATE, or FFTW_EXHAUSTIVE modes, respectively, as described in more detail by the FFTW manual.

Note that wisdom is tagged with the planning patience level, and a single file can mix different levels of wisdom (e.g. you can mostly use the patient default, but plan a few sizes that you especially care about in --exhaustive mode). Mix and match, it's giving curated πŸ’œ

  • -n, --no-system-wisdom β€” Do not import the system wisdom from /etc/fftw/wisdomq (which is normally read by default).
  • -w file, --wisdom-file=file β€” Import wisdom from file (in addition to the system wisdom, unless -n is specified). Multiple wisdom files can be read via multiple -w options. If file is -, then read wisdom from standard input.
  • -T N, --threads=N β€” Plan with N threads. This option is only present if FFTW was configured with thread support. If it's not there, no cap, it's just not built in πŸ™ˆ

πŸ’€ BUGS πŸ’€

Send bug reports to fftw@fftw.org. Be nice about it, they're literally doing their best 🫢

πŸ‘‘ AUTHORS πŸ‘‘

Written by Steven G. Johnson and Matteo Frigo.

Copyright (c) 2003, 2007-14 Matteo Frigo Copyright (c) 2003, 2007-14 Massachusetts Institute of Technology

🌈 SEE ALSO 🌈

fftw-wisdom-to-conf(1)


And that's the whole vibe, bestie ✨ this page is from the fftw manual, dated February, 2003, and it's titled FFTW-WISDOM(1) β€” now go plan some transforms, you absolute legend πŸ’–πŸŒΈπŸ¦‹

πŸ“¦ where this page comes from