File: bandedwg.cms

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snd 25.9-1
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;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;;;
;;;  Banded Waveguide Instrument based on
;;;  ====== =========
;;;
;;;    Essl, G. and Cook, P. "Banded
;;;    Waveguides: Towards Physical Modelling of Bar
;;;    Percussion Instruments", Proceedings of the
;;;    1999 International Computer Music Conference.
;;;
;;;    Also, Essl, Serafin, Cook, and Smith J.O., 
;;;    "Theory of Banded Waveguides", CMJ, 28:1,
;;;    pp37-50, Spring 2004.    
;;;
;;;  NOTES:
;;;        As with all physical models, initial conditions matter.
;;;        Frequency range is not too broad. 220Hz. is a good
;;;        starting point.
;;;
;;;
;;;  Tuned bar, Glass Harmonica and Uniform Bar for now.
;;;
;;;  08/22/2013  update bandpass filters with CLM's filter generator (juanig)
;;;  08/24/2013  replaced delay line macros with DelayL using clm's delay ug  
;;;  08/29/2014  fixed waveguide with feed and reflections
;;;  08/30/2014  Try different delay line lengths. Fixing bandpass radius param.
;;;  09/04/2014  This SND's S7 version
;;;


(define* (make-bowtable (offset 0.0) (slope 1.0))
  (float-vector offset slope))

(define (bowtable b samp)
  (max 0.0 (- 1.0 (abs (* (b 1) (+ samp (b 0)))))))


(define (make-bandpassbq freq radius)
  (let ((arra (make-float-vector 3))
	(arrb (make-float-vector 3)))
    (set! (arra 1) (* -1.998 radius (cos (hz->radians freq)))) 
    (set! (arra 2) (*  radius radius))
    ;;;
    ;;; gain gets normalized 
    ;;;
    (set! (arrb 0) (- 0.5 (* 0.5 (arra 2))))
    (set! (arrb 2) (- (arrb 0) )) 
    (make-filter 3 arra arrb) ))



;;;  To handle bandpass filter

(define (bandpassbq f sample0)
  (filter f sample0))

;;; Delay line structures and functions using SND's delay generator (as per prc95.scm)

(defgenerator dlya (outp 0) (input #f))

(define (make-delayl len lag)
  (make-dlya :input (make-delay len :max-size (ceiling (+ len lag 1)))
	     :outp (- lag len)))

(define (delayl d samp)
  (delay-tick (d 'input) samp)
  (tap (d 'input) (d 'outp)))


;;;;;;;;;;;;;;;;;;;;

(definstrument (bandedwg beg dur freq amplitude 
                        			     ;; vibration modes
			                             ;; 1=tuned Bar; 2=Glass Harmonica; 
			                             ;; 3= Uniform bar
			     (mode 3) 
			     (maxa 0.9998)           ;; max bow velocity
			     (bv 1.0)                ;; bow velocity scaler
			                             ;; velocity envelope
			     (vel-env '(0 1.0 .95 1.1 1 1.0))
			     (amp-env '(0 1 1 1))    ;;'(0 0.0  .95 1.0 .99 0.00))
			     (rev-amount .08) )
  (let ((nrmodes 4))
    (cond ((= mode 1)
	   (set! nrmodes 4))
	  ((= mode 2)
	   (set! nrmodes 6))
	  (else
	   (set! nrmodes 4))
	  )
    (let* ((start (seconds->samples beg))
	   (baselen (/ *clm-srate* freq))          ;; original Stk delayl length
	   (baselag (- (/ *clm-srate* freq) 0.5))
	   (dtapoffs 0.0)                          ;; tap offset is 0.0 in StK's version 
	   (bandpass    (make-vector nrmodes))
	   (delayslft   (make-vector nrmodes))
	   (delaysrfl   (make-vector nrmodes))
	   (modes       (make-float-vector nrmodes))
	   (gains       (make-float-vector nrmodes))
	   (basegains   (make-float-vector nrmodes))
	   (excitations (make-float-vector nrmodes))
	   (delastout   (make-float-vector nrmodes))
	   ;;
	   (fradius 0.0)   ;; radius for bandpass filter
	   (dlength 0.0)   ;; delay-line length
	   (dlag 0.0)      ;; delay lag (for tap)
	   ;;
	   (bowtab (make-bowtable :slope 3.0 :offset 0.001))  
	   (ampenv (make-env amp-env :scaler amplitude :duration dur))
	   ;; (vel-env (make-env vel-env :scaler bv :duration dur))
	   ;;
	   (maxvelocity maxa)
	   (end (+ start (seconds->samples dur)))
	   )
      ;;
      ;;
      (cond ((= mode 1) ;; Tuned Bar
	     (begin
	       (set! (modes 0) 1.000)
	       (set! (modes 1) 4.0198391420)
	       (set! (modes 2) 10.7184986595)
	       (set! (modes 3) 18.0697050938)
	       (do ((i 0 (+ i 1)))
		   ((= i nrmodes))
		 (set! (basegains i) (expt 0.998 (+ i 1)))
		 (set! (excitations i) 1.0) )
	       ))
	    ((= mode 2) ;; Glass Harmonica
	     (begin 
	       (set! (modes 0) 1.000)
	       (set! (modes 1) 2.32)
	       (set! (modes 2) 4.25)
	       (set! (modes 3) 6.63)
	       (set! (modes 4) 9.38)
	       (set! (modes 5) 12.22)
	       (do ((i 0 (+ i 1)))
		   ((= i nrmodes))
		 (set! (basegains i ) (expt 0.988 (+ i 1)))
		 (set! (excitations i) 1.0))
	       ))
	    (else ;; Uniform Bar
	     (begin
	       (set! (modes 0) 1.000)
	       (set! (modes 1) 2.756)
	       (set! (modes 2) 5.404)
	       (set! (modes 3) 8.933)
	       (do ((i 0 (+ i 1)))
		   ((= i nrmodes))
		 (set! (basegains i ) (expt 0.9 (+ i 1)))
		 (set! (excitations i) 1.0))
	       ))
	    )

      ;;
      ;; set-frequency method in STK's BandedWG
      ;;

      ;; (set! fradius (- 1.0 (* pi (/ 32 *clm-srate*))))
      (set! fradius (- 0.3998 (* pi (/ 32 *clm-srate*))))

      (do ((i 0 (+ i 1)))
	  ((= i nrmodes))
	(set! dlength (floor  (/ baselen (modes i))))
	(set! dlag    (floor  (/ baselag (modes i))))  ;; (- lag len) --> tap offset
	(set! (delayslft i) (make-delayl dlength dlag))
	(set! (delaysrfl i) (make-delayl dlength dlag))

	(set! (gains i) (basegains i))
	(set! (bandpass i) 
	      (make-bandpassbq (* freq (modes i)) fradius)) )
      
      ;;
;;;;;;;;;;;;
      ;;
      
      (do ((i start (+ i 1)))
	    ((= i end))
	;;
	    (let ((input 0.0)
		  (velinput  0.0)
		  (bowvelocity 0.0)
		  (bplastout 0.0)
		  (dlastsampl 0.0)
		  (outsampl 0.0)
		  )
	      
	      (do ((k 0 (+ k 1)))
		  ((= k nrmodes))
		(set! velinput (+ velinput (* (basegains k)  (delastout k))) )
		)
	      ;;
	      ;; (set! bowvelocity (* 0.3 (env vel-env) maxvelocity))
	      (set! bowvelocity (* 0.3  maxvelocity))
	      (set! input  (- bowvelocity velinput))
	      (set! input (* input (bowtable bowtab input)))
	      (set! input (/ input nrmodes ))
	      ;;
	      ;; Here the waveguide
	      ;;
	      (do ((j 0 (+ j 1)))
		  ((= j nrmodes))
		(set! bplastout (+ bplastout (bandpassbq (bandpass j) 
					    (delayl (delayslft j) 
						    (+ input (* (gains j) dlastsampl)) ))))
		(set! dlastsampl (+ dlastsampl (delayl (delaysrfl j) bplastout)))
		(set! (delastout j) dlastsampl)
		)
	      ;;
	      ;;
	      (set! outsampl (*  4.0 (env ampenv)  bplastout)) 
	      (outa i outsampl)
	      ;;
	      (if *reverb*
		  (begin
		    (outa i (* outsampl rev-amount)  *reverb*)))
	      )))
      ))

;;; (with-sound () (bandedwg 0 1 220 0.4))
;;; (with-sound () (bandedwg 0 1 220 0.4 :mode 1))
;;; (with-sound () (bandedwg 0 1 220 0.4 :mode 2))
;;; (with-sound () (bandedwg 0 1.0 220 0.7 :mode 1 :maxa 0.497))