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#lang br
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(require racket/file rackunit)
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(define (make-patintss ints)
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(for/list ([i (in-range (length ints))])
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(apply append (map (curry make-list (add1 i)) '(0 1 0 -1)))))
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(define (fft str [phase-count 1])
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(define ints (for/list ([c (in-string str)])
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(string->number (string c))))
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(define patintss (make-patintss ints))
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(time
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(for/fold ([ints ints]
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#:result (take ints 8))
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([pidx (in-range phase-count)])
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(for/list ([patints (in-list patintss)])
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(modulo (abs (for/sum ([int (in-list (cons 0 ints))] ; cons 0 to burn off first patint
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[patint (in-cycle patints)])
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(* int patint))) 10)))))
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(check-equal? (fft "80871224585914546619083218645595" 100) '(2 4 1 7 6 1 7 6))
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(check-equal? (fft "19617804207202209144916044189917" 100) '(7 3 7 4 5 4 1 8))
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(check-equal? (fft "69317163492948606335995924319873" 100) '(5 2 4 3 2 1 3 3))
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;; 1
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(check-equal? (fft (file->string "16.rktd") 100) '(8 5 7 2 6 5 0 2))
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