560 lines
16 KiB
Common Lisp
560 lines
16 KiB
Common Lisp
;; dspprims.lsp -- interface to dsp primitives
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;; ARESON - notch filter
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;;
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(defun areson (s c b &optional (n 0))
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(multichan-expand #'nyq:areson s c b n))
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(setf areson-implementations
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(vector #'snd-areson #'snd-aresonvc #'snd-aresoncv #'snd-aresonvv))
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;; NYQ:ARESON - notch filter, single channel
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;;
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(defun nyq:areson (signal center bandwidth normalize)
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(select-implementation-1-2 areson-implementations
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signal center bandwidth normalize))
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;; hp - highpass filter
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;;
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(defun hp (s c)
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(multichan-expand #'nyq:hp s c))
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(setf hp-implementations
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(vector #'snd-atone #'snd-atonev))
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;; NYQ:hp - highpass filter, single channel
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;;
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(defun nyq:hp (s c)
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(select-implementation-1-1 hp-implementations s c))
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;; comb-delay-from-hz -- compute the delay argument
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;;
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(defun comb-delay-from-hz (hz caller)
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(recip hz))
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;; comb-feedback-from-decay -- compute the feedback argument
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;;
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(defun comb-feedback (decay delay)
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(s-exp (mult -6.9087 delay (recip decay))))
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;; COMB - comb filter
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;;
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;; this is just a feedback-delay with different arguments
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;;
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(defun comb (snd decay hz)
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(multichan-expand #'nyq:comb snd decay hz))
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(defun nyq:comb (snd decay hz)
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(let (delay feedback len d)
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; convert decay to feedback, iterate over array if necessary
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(setf delay (comb-delay-from-hz hz "comb"))
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(setf feedback (comb-feedback decay delay))
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(nyq:feedback-delay snd delay feedback)))
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;; ALPASS - all-pass filter
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;;
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(defun alpass (snd decay hz &optional min-hz)
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(multichan-expand #'nyq:alpass snd decay hz min-hz))
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(defun nyq:alpass (snd decay hz min-hz)
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(let (delay feedback len d)
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; convert decay to feedback, iterate over array if necessary
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(setf delay (comb-delay-from-hz hz "alpass"))
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(setf feedback (comb-feedback decay delay))
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(nyq:alpass1 snd delay feedback min-hz)))
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;; CONST -- a constant at control-srate
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;;
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(defun const (value &optional (dur 1.0))
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(let ((d (get-duration dur)))
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(snd-const value *rslt* *CONTROL-SRATE* d)))
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;; CONVOLVE - slow convolution
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;;
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(defun convolve (s r)
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(multichan-expand #'snd-convolve s r))
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;; FEEDBACK-DELAY -- (delay is quantized to sample period)
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;;
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(defun feedback-delay (snd delay feedback)
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(multichan-expand #'nyq:feedback-delay snd delay feedback))
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;; SND-DELAY-ERROR -- report type error
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;;
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(defun snd-delay-error (snd delay feedback)
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(error "feedback-delay with variable delay is not implemented"))
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(setf feedback-delay-implementations
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(vector #'snd-delay #'snd-delay-error #'snd-delaycv #'snd-delay-error))
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;; NYQ:FEEDBACK-DELAY -- single channel delay
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;;
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(defun nyq:feedback-delay (snd delay feedback)
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(select-implementation-1-2 feedback-delay-implementations
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snd delay feedback))
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;; SND-ALPASS-ERROR -- report type error
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;;
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(defun snd-alpass-error (snd delay feedback)
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(error "alpass with constant decay and variable hz is not implemented"))
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(if (not (fboundp 'snd-alpasscv))
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(defun snd-alpasscv (snd delay feedback min-hz)
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(error "snd-alpasscv (ALPASS with variable decay) is not implemented")))
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(if (not (fboundp 'snd-alpassvv))
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(defun snd-alpassvv (snd delay feedback min-hz)
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(error "snd-alpassvv (ALPASS with variable decay and feedback) is not implemented")))
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(defun nyq:alpassvv (the-snd delay feedback min-hz)
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(let (max-delay)
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(cond ((or (not (numberp min-hz))
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(<= min-hz 0))
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(error "alpass needs numeric (>0) 4th parameter (min-hz) when delay is variable")))
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(setf max-delay (/ 1.0 min-hz))
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; make sure delay is between 0 and max-delay
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; use clip function, which is symetric, with an offset
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(setf delay (snd-offset (clip (snd-offset delay (* max-delay -0.5))
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(* max-delay 0.5))
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(* max-delay 0.5)))
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; now delay is between 0 and max-delay, so we won't crash nyquist when
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; we call snd-alpassvv, which doesn't test for out-of-range data
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(snd-alpassvv the-snd delay feedback max-delay)))
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;; NYQ:SND-ALPASS -- ignores min-hz argument and calls snd-alpass
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;;
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(defun nyq:snd-alpass (snd delay feedback min-hz)
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(snd-alpass snd delay feedback))
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;; NYQ:SND-ALPASSCV -- ignores min-hz argument and calls snd-alpasscv
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;;
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(defun nyq:snd-alpasscv (snd delay feedback min-hz)
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(snd-alpasscv snd delay feedback))
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(setf alpass-implementations
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(vector #'nyq:snd-alpass #'snd-alpass-error
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#'nyq:snd-alpasscv #'nyq:alpassvv))
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;; NYQ:ALPASS1 -- single channel alpass
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;;
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(defun nyq:alpass1 (snd delay feedback min-hz)
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(select-implementation-1-2 alpass-implementations
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snd delay feedback min-hz))
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;; CONGEN -- contour generator, patterned after gated analog env gen
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;;
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(defun congen (gate rise fall) (multichan-expand #'snd-congen gate rise fall))
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;; S-EXP -- exponentiate a sound
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;;
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(defun s-exp (s) (multichan-expand #'nyq:exp s))
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;; NYQ:EXP -- exponentiate number or sound
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;;
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(defun nyq:exp (s) (if (soundp s) (snd-exp s) (exp s)))
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;; S-ABS -- absolute value of a sound
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;;
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(defun s-abs (s) (multichan-expand #'nyq:abs s))
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;; NYQ:ABS -- absolute value of number or sound
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;;
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(defun nyq:abs (s) (if (soundp s) (snd-abs s) (abs s)))
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;; S-SQRT -- square root of a sound
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;;
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(defun s-sqrt (s) (multichan-expand #'nyq:sqrt s))
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;; NYQ:SQRT -- square root of a number or sound
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;;
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(defun nyq:sqrt (s) (if (soundp s) (snd-sqrt s) (sqrt s)))
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;; INTEGRATE -- integration
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;;
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(defun integrate (s) (multichan-expand #'snd-integrate s))
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;; S-LOG -- natural log of a sound
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;;
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(defun s-log (s) (multichan-expand #'nyq:log s))
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;; NYQ:LOG -- log of a number or sound
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;;
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(defun nyq:log (s) (if (soundp s) (snd-log s) (log s)))
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;; NOISE -- white noise
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;;
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(defun noise (&optional (dur 1.0))
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(let ((d (get-duration dur)))
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(snd-white *rslt* *SOUND-SRATE* d)))
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(defun noise-gate (snd &optional (lookahead 0.5) (risetime 0.02) (falltime 0.5)
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(floor 0.01) (threshold 0.01))
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(let ((rms (lp (mult snd snd) (/ *control-srate* 10.0))))
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(setf threshold (* threshold threshold))
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(mult snd (gate rms floor risetime falltime lookahead threshold))))
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;; QUANTIZE -- quantize a sound
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;;
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(defun quantize (s f) (multichan-expand #'snd-quantize s f))
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;; RECIP -- reciprocal of a sound
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;;
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(defun recip (s) (multichan-expand #'nyq:recip s))
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;; NYQ:RECIP -- reciprocal of a number or sound
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;;
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(defun nyq:recip (s) (if (soundp s) (snd-recip s) (/ (float s))))
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;; RMS -- compute the RMS of a sound
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;;
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(defun rms (s &optional (rate 100.0) window-size)
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(let (rslt step-size)
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(cond ((not (eq (type-of s) 'SOUND))
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(break "in RMS, first parameter must be a monophonic SOUND")))
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(setf step-size (round (/ (snd-srate s) rate)))
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(cond ((null window-size)
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(setf window-size step-size)))
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(setf s (prod s s))
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(setf result (snd-avg s window-size step-size OP-AVERAGE))
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;; compute square root of average
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(s-exp (scale 0.5 (s-log result)))))
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;; RESON - bandpass filter
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;;
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(defun reson (s c b &optional (n 0))
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(multichan-expand #'nyq:reson s c b n))
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(setf reson-implementations
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(vector #'snd-reson #'snd-resonvc #'snd-resoncv #'snd-resonvv))
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;; NYQ:RESON - bandpass filter, single channel
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;;
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(defun nyq:reson (signal center bandwidth normalize)
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(select-implementation-1-2 reson-implementations
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signal center bandwidth normalize))
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;; SHAPE -- waveshaper
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;;
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(defun shape (snd shape origin)
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(multichan-expand #'snd-shape snd shape origin))
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;; SLOPE -- calculate the first derivative of a signal
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;;
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(defun slope (s) (multichan-expand #'nyq:slope s))
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;; NYQ:SLOPE -- first derivative of single channel
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;;
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(defun nyq:slope (s)
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(let* ((sr (snd-srate s))
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(sr-inverse (/ sr)))
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(snd-xform (snd-slope s) sr 0 sr-inverse MAX-STOP-TIME 1.0)))
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;; lp - lowpass filter
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;;
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(defun lp (s c)
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(multichan-expand #'nyq:lp s c))
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(setf lp-implementations
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(vector #'snd-tone #'snd-tonev))
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;; NYQ:lp - lowpass filter, single channel
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;;
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(defun nyq:lp (s c)
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(select-implementation-1-1 lp-implementations s c))
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;;; fixed-parameter filters based on snd-biquad
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;;; note: snd-biquad is implemented in biquadfilt.[ch],
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;;; while BiQuad.{cpp,h} is part of STK
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(setf Pi 3.14159265358979)
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(defun square (x) (* x x))
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(defun sinh (x) (* 0.5 (- (exp x) (exp (- x)))))
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; remember that snd-biquad uses the opposite sign convention for a_i's
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; than Matlab does.
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; convenient biquad: normalize a0, and use zero initial conditions.
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; convenient biquad: normalize a0, and use zero initial conditions.
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(defun nyq:biquad (x b0 b1 b2 a0 a1 a2)
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(if (<= a0 0.0)
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(error (format nil "a0 < 0 (unstable parameter a0 = ~A) in biquad~%" a0)))
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(let ((a0r (/ 1.0 a0)))
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(setf a1 (* a0r a1)
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a2 (* a0r a2))
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(if (or (<= a2 -1.0) (<= (- 1.0 a2) (abs a1)))
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(error (format nil
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"(a2 <= -1) or (1 - a2 <= |a1|) (~A a1 = ~A, a2 = ~A) in biquad~%"
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"unstable parameters" a1 a2)))
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(snd-biquad x (* a0r b0) (* a0r b1) (* a0r b2)
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a1 a2 0 0)))
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(defun biquad (x b0 b1 b2 a0 a1 a2)
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(multichan-expand #'nyq:biquad x b0 b1 b2 a0 a1 a2))
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; biquad with Matlab sign conventions for a_i's.
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(defun biquad-m (x b0 b1 b2 a0 a1 a2)
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(multichan-expand #'nyq:biquad-m x b0 b1 b2 a0 a1 a2))
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(defun nyq:biquad-m (x b0 b1 b2 a0 a1 a2)
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(nyq:biquad x b0 b1 b2 a0 (- a1) (- a2)))
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; two-pole lowpass
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(defun lowpass2 (x hz &optional (q 0.7071))
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(multichan-expand #'nyq:lowpass2 x hz q))
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;; NYQ:LOWPASS2 -- operates on single channel
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(defun nyq:lowpass2 (x hz q)
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(if (or (> hz (* 0.5 (snd-srate x)))
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(< hz 0))
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(error "cutoff frequency out of range" hz))
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(let* ((w (* 2.0 Pi (/ hz (snd-srate x))))
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(cw (cos w))
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(sw (sin w))
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(alpha (* sw (sinh (/ 0.5 q))))
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(a0 (+ 1.0 alpha))
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(a1 (* -2.0 cw))
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(a2 (- 1.0 alpha))
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(b1 (- 1.0 cw))
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(b0 (* 0.5 b1))
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(b2 b0))
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(nyq:biquad-m x b0 b1 b2 a0 a1 a2)))
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; two-pole highpass
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(defun highpass2 (x hz &optional (q 0.7071))
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(multichan-expand #'nyq:highpass2 x hz q))
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(defun nyq:highpass2 (x hz q)
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(if (or (> hz (* 0.5 (snd-srate x)))
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(< hz 0))
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(error "cutoff frequency out of range" hz))
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(let* ((w (* 2.0 Pi (/ hz (snd-srate x))))
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(cw (cos w))
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(sw (sin w))
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(alpha (* sw (sinh (/ 0.5 q))))
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(a0 (+ 1.0 alpha))
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(a1 (* -2.0 cw))
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(a2 (- 1.0 alpha))
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(b1 (- -1.0 cw))
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(b0 (* -0.5 b1))
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(b2 b0))
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(nyq:biquad-m x b0 b1 b2 a0 a1 a2)))
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; two-pole bandpass. max gain is unity.
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(defun bandpass2 (x hz q)
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(multichan-expand #'nyq:bandpass2 x hz q))
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(defun nyq:bandpass2 (x hz q)
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(let* ((w (* 2.0 Pi (/ hz (snd-srate x))))
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(cw (cos w))
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(sw (sin w))
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(alpha (* sw (sinh (/ 0.5 q))))
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(a0 (+ 1.0 alpha))
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(a1 (* -2.0 cw))
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(a2 (- 1.0 alpha))
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(b0 alpha)
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(b1 0.0)
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(b2 (- alpha)))
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(nyq:biquad-m x b0 b1 b2 a0 a1 a2)))
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; two-pole notch.
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(defun notch2 (x hz q)
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(multichan-expand #'nyq:notch2 x hz q))
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(defun nyq:notch2 (x hz q)
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(let* ((w (* 2.0 Pi (/ hz (snd-srate x))))
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(cw (cos w))
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(sw (sin w))
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(alpha (* sw (sinh (/ 0.5 q))))
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(a0 (+ 1.0 alpha))
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(a1 (* -2.0 cw))
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(a2 (- 1.0 alpha))
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(b0 1.0)
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(b1 (* -2.0 cw))
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(b2 1.0))
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(nyq:biquad-m x b0 b1 b2 a0 a1 a2)))
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; two-pole allpass.
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(defun allpass2 (x hz q)
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(multichan-expand #'nyq:allpass x hz q))
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(defun nyq:allpass (x hz q)
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(let* ((w (* 2.0 Pi (/ hz (snd-srate x))))
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(cw (cos w))
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(sw (sin w))
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(k (exp (* -0.5 w (/ 1.0 q))))
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(a0 1.0)
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(a1 (* -2.0 cw k))
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(a2 (* k k))
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(b0 a2)
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(b1 a1)
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(b2 1.0))
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(nyq:biquad-m x b0 b1 b2 a0 a1 a2)))
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; bass shelving EQ. gain in dB; Fc is halfway point.
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; response becomes peaky at slope > 1.
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(defun eq-lowshelf (x hz gain &optional (slope 1.0))
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(multichan-expand #'nyq:eq-lowshelf x hz gain slope))
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(defun nyq:eq-lowshelf (x hz gain slope)
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(let* ((w (* 2.0 Pi (/ hz (snd-srate x))))
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(sw (sin w))
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(cw (cos w))
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(A (expt 10.0 (/ gain (* 2.0 20.0))))
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(b (sqrt (- (/ (+ 1.0 (square A)) slope) (square (- A 1.0)))))
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(apc (* cw (+ A 1.0)))
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(amc (* cw (- A 1.0)))
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(bs (* b sw))
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(b0 (* A (+ A 1.0 (- amc) bs )))
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(b1 (* 2.0 A (+ A -1.0 (- apc) )))
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(b2 (* A (+ A 1.0 (- amc) (- bs) )))
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(a0 (+ A 1.0 amc bs ))
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(a1 (* -2.0 (+ A -1.0 apc )))
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(a2 (+ A 1.0 amc (- bs) )))
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(nyq:biquad-m x b0 b1 b2 a0 a1 a2)))
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; treble shelving EQ. gain in dB; Fc is halfway point.
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; response becomes peaky at slope > 1.
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(defun eq-highshelf (x hz gain &optional (slope 1.0))
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(multichan-expand #'nyq:eq-highshelf x hz gain slope))
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(defun nyq:eq-highshelf (x hz gain slope)
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(let* ((w (* 2.0 Pi (/ hz (snd-srate x))))
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(sw (sin w))
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(cw (cos w))
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(A (expt 10.0 (/ gain (* 2.0 20.0))))
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(b (sqrt (- (/ (+ 1.0 (square A)) slope) (square (- A 1.0)))))
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(apc (* cw (+ A 1.0)))
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(amc (* cw (- A 1.0)))
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(bs (* b sw))
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(b0 (* A (+ A 1.0 amc bs )))
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(b1 (* -2.0 A (+ A -1.0 apc )))
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(b2 (* A (+ A 1.0 amc (- bs) )))
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(a0 (+ A 1.0 (- amc) bs ))
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(a1 (* 2.0 (+ A -1.0 (- apc) )))
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(a2 (+ A 1.0 (- amc) (- bs) )))
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(nyq:biquad-m x b0 b1 b2 a0 a1 a2)))
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(defun nyq:eq-band (x hz gain width)
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(cond ((and (numberp hz) (numberp gain) (numberp width))
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(eq-band-ccc x hz gain width))
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((and (soundp hz) (soundp gain) (soundp width))
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(snd-eqbandvvv x hz (db-to-linear gain) width))
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(t
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(error "eq-band hz, gain, and width must be all numbers or all sounds"))))
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|
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; midrange EQ. gain in dB, width in octaves (half-gain width).
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(defun eq-band (x hz gain width)
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(multichan-expand #'nyq:eq-band x hz gain width))
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|
|
|
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(defun eq-band-ccc (x hz gain width)
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|
(let* ((w (* 2.0 Pi (/ hz (snd-srate x))))
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|
(sw (sin w))
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|
(cw (cos w))
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|
(J (sqrt (expt 10.0 (/ gain 20.0))))
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|
;(dummy (display "eq-band-ccc" gain J))
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|
(g (* sw (sinh (* 0.5 (log 2.0) width (/ w sw)))))
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|
;(dummy2 (display "eq-band-ccc" width w sw g))
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|
(b0 (+ 1.0 (* g J)))
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|
(b1 (* -2.0 cw))
|
|
(b2 (- 1.0 (* g J)))
|
|
(a0 (+ 1.0 (/ g J)))
|
|
(a1 (- b1))
|
|
(a2 (- (/ g J) 1.0)))
|
|
(biquad x b0 b1 b2 a0 a1 a2)))
|
|
|
|
; see failed attempt in eub-reject.lsp to do these with higher-order fns:
|
|
|
|
; four-pole Butterworth lowpass
|
|
(defun lowpass4 (x hz)
|
|
(lowpass2 (lowpass2 x hz 0.60492333) hz 1.33722126))
|
|
|
|
; six-pole Butterworth lowpass
|
|
(defun lowpass6 (x hz)
|
|
(lowpass2 (lowpass2 (lowpass2 x hz 0.58338080)
|
|
hz 0.75932572)
|
|
hz 1.95302407))
|
|
|
|
; eight-pole Butterworth lowpass
|
|
(defun lowpass8 (x hz)
|
|
(lowpass2 (lowpass2 (lowpass2 (lowpass2 x hz 0.57622191)
|
|
hz 0.66045510)
|
|
hz 0.94276399)
|
|
hz 2.57900101))
|
|
|
|
; four-pole Butterworth highpass
|
|
(defun highpass4 (x hz)
|
|
(highpass2 (highpass2 x hz 0.60492333) hz 1.33722126))
|
|
|
|
; six-pole Butterworth highpass
|
|
(defun highpass6 (x hz)
|
|
(highpass2 (highpass2 (highpass2 x hz 0.58338080)
|
|
hz 0.75932572)
|
|
hz 1.95302407))
|
|
|
|
; eight-pole Butterworth highpass
|
|
(defun highpass8 (x hz)
|
|
(highpass2 (highpass2 (highpass2 (highpass2 x hz 0.57622191)
|
|
hz 0.66045510)
|
|
hz 0.94276399)
|
|
hz 2.57900101))
|
|
|
|
; YIN
|
|
; maybe this should handle multiple channels, etc.
|
|
(setfn yin snd-yin)
|
|
|
|
|
|
; FOLLOW
|
|
(defun follow (sound floor risetime falltime lookahead)
|
|
;; use 10000s as "infinite" -- that's about 2^30 samples at 96K
|
|
(setf lookahead (round (* lookahead (snd-srate sound))))
|
|
(extract (/ lookahead (snd-srate sound)) 10000
|
|
(snd-follow sound floor risetime falltime lookahead)))
|
|
|
|
; Note: gate implementation moved to nyquist.lsp
|
|
;(defun gate (sound floor risetime falltime lookahead threshold)
|
|
; (setf lookahead (round (* lookahead (snd-srate sound))))
|
|
; (setf lookahead (/ lookahead (snd-srate sound)))
|
|
; (extract lookahead 10000
|
|
; (snd-gate sound lookahead risetime falltime floor threshold)))
|