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authorJames LewisMoss <dres@debian.org>1999-12-06 19:32:57 -0500
committerBryan Newbold <bnewbold@robocracy.org>2017-02-20 00:05:28 -0800
commitc394920caedf3dac1981bb6b10eeb47fd6e4bb21 (patch)
treef21194653a3554f747dde3df908df993c48db5a0 /fft.scm
parent926b1b647ac830660933a5e63eb52d4a2552e264 (diff)
parentbd9733926076885e3417b74de76e4c9c7bc56254 (diff)
downloadslib-6ae63d86d3d60068cc7edaeadc9912b84880086b.tar.gz
slib-6ae63d86d3d60068cc7edaeadc9912b84880086b.zip
Import Debian changes 2c7-1debian/2c7-1
slib (2c7-1) unstable; urgency=low * New upstream. * Add slibconfig back in. slib (2c6-2) unstable; urgency=low * Remove the slib$(VERSION).info file. Cut the diff back down to size. slib (2c6-1) unstable; urgency=low * New upstream. * Move docs to /usr/share. Up standards version. add /usr/doc symlink. Move info files. Remove undocumented link. slib (2c5-6) unstable; urgency=low * Lowercase two vars in yasyn.scm (Fixes bug #37222) slib (2c5-5) unstable; urgency=low * Fix it so string-index isn't defined (now there is a strsrch:string-index) (Fixes #38812) slib (2c5-4) unstable; urgency=low * Don't run slibconfig in postinst. (Fixes bug #38253, #37733, #37715, #37746, #37809, #37917, #38123, #38462) slib (2c5-3) unstable; urgency=low * Run slibconfig in postinst. It was commented out there, but I don't see any old bug reports on why it was commented out, so let's try again. :) (Fixes bug #37221) slib (2c5-2) unstable; urgency=low * Link mklibcat.scm to mklibcat. Fixes a problem with using slib with guile. slib (2c5-1) unstable; urgency=low * New upstream. slib (2c3-4) unstable; urgency=low * New maintainer.
Diffstat (limited to 'fft.scm')
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diff --git a/fft.scm b/fft.scm
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+;;;"fft.scm" Fast Fourier Transform
+;Copyright (C) 1999 Aubrey Jaffer
+;
+;Permission to copy this software, to redistribute it, and to use it
+;for any purpose is granted, subject to the following restrictions and
+;understandings.
+;
+;1. Any copy made of this software must include this copyright notice
+;in full.
+;
+;2. I have made no warrantee or representation that the operation of
+;this software will be error-free, and I am under no obligation to
+;provide any services, by way of maintenance, update, or otherwise.
+;
+;3. In conjunction with products arising from the use of this
+;material, there shall be no use of my name in any advertising,
+;promotional, or sales literature without prior written consent in
+;each case.
+
+;;;; See:
+;;; Introduction to Algorithms (MIT Electrical
+;;; Engineering and Computer Science Series)
+;;; by Thomas H. Cormen, Charles E. Leiserson (Contributor),
+;;; Ronald L. Rivest (Contributor)
+;;; MIT Press; ISBN: 0-262-03141-8 (July 1990)
+
+;;; http://www.astro.virginia.edu/~eww6n/math/DiscreteFourierTransform.html
+;;; differs in the direction of rotation of the complex unit vectors.
+
+(require 'array)
+
+(define (fft:shuffled&scaled ara n scale)
+ (define lgn (integer-length (+ -1 n)))
+ (define new (apply make-array 0 (array-dimensions ara)))
+ (define bit-reverse (lambda (width in)
+ (if (zero? width) 0
+ (+ (bit-reverse (+ -1 width) (quotient in 2))
+ (ash (modulo in 2) (+ -1 width))))))
+ (if (not (eqv? n (expt 2 lgn)))
+ (slib:error 'fft "array length not power of 2" n))
+ (do ((k 0 (+ 1 k)))
+ ((>= k n) new)
+ (array-set! new (* (array-ref ara k) scale) (bit-reverse lgn k))))
+
+(define (dft! ara n dir)
+ (define lgn (integer-length (+ -1 n)))
+ (define pi2i (* 0+8i (atan 1)))
+ (do ((s 1 (+ 1 s)))
+ ((> s lgn) ara)
+ (let* ((m (expt 2 s))
+ (w_m (exp (* dir (/ pi2i m))))
+ (m/2-1 (+ (quotient m 2) -1)))
+ (do ((j 0 (+ 1 j))
+ (w 1 (* w w_m)))
+ ((> j m/2-1))
+ (do ((k j (+ m k)))
+ ((>= k n))
+ (let* ((k+m/2 (+ k m/2-1 1))
+ (t (* w (array-ref ara k+m/2)))
+ (u (array-ref ara k)))
+ (array-set! ara (+ u t) k)
+ (array-set! ara (- u t) k+m/2)))))))
+
+(define (fft ara)
+ (define n (car (array-dimensions ara)))
+ (dft! (fft:shuffled&scaled ara n 1) n 1))
+
+(define (fft-1 ara)
+ (define n (car (array-dimensions ara)))
+ (dft! (fft:shuffled&scaled ara n (/ n)) n -1))