/
env.scm
562 lines (498 loc) · 18.5 KB
/
env.scm
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;;; Various envelope functions
;;;
;;; window-envelope (beg end env) -> portion of env lying between x axis values beg and end
;;; map-envelopes (func env1 env2) maps func over the breakpoints in env1 and env2 returning a new envelope
;;; multiply-envelopes (env1 env2) multiplies break-points of env1 and env2 returning a new envelope
;;; add-envelopes (env1 env2) adds break-points of env1 and env2 returning a new envelope
;;; max-envelope (env) -> max y value in env, min-envelope
;;; integrate-envelope (env) -> area under env
;;; envelope-last-x (env) -> max x axis break point position
;;; stretch-envelope env old-attack new-attack old-decay new-decay -> divseg-like envelope mangler
;;; scale-envelope (env scaler offset) scales y axis values by 'scaler' and optionally adds 'offset'
;;; reverse-envelope (env) reverses the breakpoints in 'env'
;;; concatenate-envelopes (:rest envs) concatenates its arguments into a new envelope
;;; repeat-envelope env repeats (reflected #f) (normalized #f) repeats an envelope
;;; power-env: generator for extended envelopes (each segment has its own base)
;;; envelope-exp: interpolate segments into envelope to give exponential curves
;;; rms-envelope
;;; normalize-envelope
;;; simplify-envelope
(provide 'snd-env.scm)
;;; -------- window-envelope (a kinda brute-force translation from the CL version in env.lisp)
(define window-envelope
(let ((+documentation+ "(window-envelope beg end e) -> portion of e lying between x axis values beg and
end: (window-envelope 1.0 3.0 '(0.0 0.0 5.0 1.0)) -> '(1.0 0.2 3.0 0.6)"))
(lambda (beg end e)
(let ((nenv ())
(lasty (if (pair? e) (cadr e) 0.0))
(len (length e)))
(call-with-exit
(lambda (return-early)
(do ((i 0 (+ i 2)))
((>= i len))
(let ((x (e i))
(y (e (+ i 1))))
(set! lasty y)
(cond ((null? nenv)
(when (>= x beg)
(set! nenv (append nenv (list beg (envelope-interp beg e))))
(if (not (= x beg))
(if (>= x end)
(return-early (append nenv (list end (envelope-interp end e))))
(set! nenv (append nenv (list x y)))))))
((<= x end)
(set! nenv (append nenv (list x y)))
(if (= x end) (return-early nenv)))
(else ;(> x end)
(return-early
(append nenv (list end (envelope-interp end e))))))))
(append nenv (list end lasty))))))))
;;; -------- map-envelopes like map-across-envelopes in env.lisp
(define map-envelopes
(let ((+documentation+ "(map-envelopes func env1 env2) maps func over the breakpoints in env1 and env2 returning a new envelope"))
(lambda (op e1 e2)
(let* ((xs ())
(at0 (lambda (e)
(let* ((diff (car e))
(len (length e))
(lastx (e (- len 2)))
(newe (copy e)))
(do ((i 0 (+ i 2)))
((>= i len) newe)
(let ((x (/ (- (newe i) diff) lastx)))
(set! xs (cons x xs))
(set! (newe i) x)))))))
(if (null? e1)
(at0 e2)
(if (null? e2)
(at0 e1)
(let ((ee1 (at0 e1))
(ee2 (at0 e2))
(newe ()))
(set! xs (let ((lxs (let rem-dup ((lst xs)
(nlst ()))
(cond ((null? lst) nlst)
((member (car lst) nlst) (rem-dup (cdr lst) nlst))
(else (rem-dup (cdr lst) (cons (car lst) nlst)))))))
(sort! lxs <)))
(do ((len (length xs))
(i 0 (+ i 1)))
((= i len) newe)
(let ((x (xs i)))
(set! newe (append newe (list x (op (envelope-interp x ee1) (envelope-interp x ee2))))))))))))))
;;; -------- multiply-envelopes, add-envelopes
(define multiply-envelopes
(let ((+documentation+ "(multiply-envelopes env1 env2) multiplies break-points of env1 and env2 returning a new
envelope: (multiply-envelopes '(0 0 2 .5) '(0 0 1 2 2 1)) -> '(0 0 0.5 0.5 1.0 0.5)"))
(lambda (e1 e2)
(map-envelopes * e1 e2))))
(define add-envelopes
(let ((+documentation+ "(add-envelopes env1 env2) adds break-points of env1 and env2 returning a new envelope"))
(lambda (e1 e2)
(map-envelopes + e1 e2))))
;;; -------- max-envelope
(define max-envelope
(let ((+documentation+ "(max-envelope env) -> max y value in env"))
(lambda (env1)
(let max-envelope-1 ((e (cddr env1))
(mx (cadr env1)))
(if (null? e)
mx
(max-envelope-1 (cddr e) (max mx (cadr e))))))))
;;; -------- min-envelope
(define min-envelope
(let ((+documentation+ "(min-envelope env) -> min y value in env"))
(lambda (env1)
(let min-envelope-1 ((e (cddr env1))
(mx (cadr env1)))
(if (null? e)
mx
(min-envelope-1 (cddr e) (min mx (cadr e))))))))
;;; -------- integrate-envelope
(define integrate-envelope
(let ((+documentation+ "(integrate-envelope env) -> area under env"))
(lambda (env1)
(let integrate-envelope-1 ((e env1)
(sum 0.0000))
(if (or (null? e) (null? (cddr e)))
sum
(integrate-envelope-1 (cddr e) (+ sum (* (+ (cadr e) (cadddr e)) 0.5 (- (caddr e) (car e))))))))))
;;; -------- envelope-last-x
(define envelope-last-x
(let ((+documentation+ "(envelope-last-x env) -> max x axis break point position"))
(lambda (e)
(do ((e e (cddr e)))
((null? (cddr e))
(car e))))))
;;; -------- stretch-envelope
(define stretch-envelope
(let ((+documentation+ "(stretch-envelope env old-attack new-attack old-decay new-decay) takes 'env' and
returns a new envelope based on it but with the attack and optionally decay portions stretched
or squeezed; 'old-attack' is the original x axis attack end point, 'new-attack' is where that
section should end in the new envelope. Similarly for 'old-decay' and 'new-decay'. This mimics
divseg in early versions of CLM and its antecedents in Sambox and Mus10 (linen).
(stretch-envelope '(0 0 1 1) .1 .2) -> (0 0 0.2 0.1 1.0 1)
(stretch-envelope '(0 0 1 1 2 0) .1 .2 1.5 1.6) -> (0 0 0.2 0.1 1.1 1 1.6 0.5 2.0 0)"))
(lambda* (fn old-att new-att old-dec new-dec)
(cond ((not new-att)
(if old-att
(error 'wrong-number-of-args "stretch-envelope: ~A, old-attack but no new-attack?" old-att)
fn))
((and old-dec (not new-dec))
(error 'wrong-number-of-args "stretch-envelope:~A ~A ~A, old-decay but no new-decay?" old-att new-att old-dec))
(else
(let ((x0 (car fn))
(y0 (cadr fn)))
(let ((new-x x0)
(last-x (fn (- (length fn) 2)))
(new-fn (list y0 x0))
(scl (/ (- new-att x0) (max .0001 (- old-att x0)))))
(if (and (number? old-dec)
(= old-dec old-att))
(set! old-dec (* 1e-06 last-x)))
(reverse
(let stretch-envelope-1 ((new-fn new-fn)
(old-fn (cddr fn)))
(if (null? old-fn)
new-fn
(let ((x1 (car old-fn))
(y1 (cadr old-fn)))
(when (and (< x0 old-att) (>= x1 old-att))
(set! y0 (if (= x1 old-att)
y1
(+ y0 (* (- y1 y0) (/ (- old-att x0) (- x1 x0))))))
(set! x0 old-att)
(set! new-x new-att)
(set! new-fn (cons y0 (cons new-x new-fn)))
(set! scl (if old-dec
(/ (- new-dec new-att) (- old-dec old-att))
(/ (- last-x new-att) (- last-x old-att)))))
(when (and (real? old-dec)
(< x0 old-dec)
(>= x1 old-dec))
(set! y0 (if (= x1 old-dec)
y1
(+ y0 (* (- y1 y0) (/ (- old-dec x0) (- x1 x0))))))
(set! x0 old-dec)
(set! new-x new-dec)
(set! new-fn (cons y0 (cons new-x new-fn)))
(set! scl (/ (- last-x new-dec) (- last-x old-dec))))
(unless (= x0 x1)
(set! new-x (+ new-x (* scl (- x1 x0))))
(set! new-fn (cons y1 (cons new-x new-fn)))
(set! x0 x1)
(set! y0 y1))
(stretch-envelope-1 new-fn (cddr old-fn)))))))))))))
;;; -------- scale-envelope
(define scale-envelope
(let ((+documentation+ "(scale-envelope env scaler (offset 0)) scales y axis values by 'scaler' and optionally adds 'offset'"))
(lambda* (e scl (offset 0))
(if (null? e)
()
(cons (car e) (cons (+ offset (* scl (cadr e))) (scale-envelope (cddr e) scl offset)))))))
;;; -------- reverse-envelope
(define reverse-envelope
(let ((+documentation+ "(reverse-envelope env) reverses the breakpoints in 'env'"))
(lambda (e)
(let ((len (length e)))
(if (or (not (integer? len))
(< len 3))
e
(let ((xd (e (- len 2))))
(let reverse-env-1 ((e e) (newe ()))
(if (null? e)
newe
(reverse-env-1 (cddr e)
(cons (- xd (car e))
(cons (cadr e)
newe)))))))))))
;;; -------- concatenate-envelopes
(define concatenate-envelopes
(letrec ((+documentation+ "(concatenate-envelopes :rest envs) concatenates its arguments into a new envelope")
(cat-1 (lambda (e newe xoff x0)
(if (null? e)
newe
(cat-1 (cddr e)
(cons (cadr e)
(cons (- (+ (car e) xoff) x0)
newe))
xoff
x0)))))
(lambda envs
(let ((ne ())
(xoff 0.0))
(for-each
(lambda (e)
(if (and (pair? ne)
(= (car ne) (cadr e)))
(begin
(set! xoff (- xoff .01))
(set! ne (cat-1 (cddr e) ne xoff (car e))))
(set! ne (cat-1 e ne xoff (car e))))
(set! xoff (+ xoff .01 (cadr ne))))
envs)
(reverse ne)))))
(define repeat-envelope
(let ((+documentation+ "(repeat-envelope env repeats (reflected #f) (normalized #f)) repeats 'env' 'repeats'
times. (repeat-envelope '(0 0 100 1) 2) -> (0 0 100 1 101 0 201 1).
If the final y value is different from the first y value, a quick ramp is
inserted between repeats. 'normalized' causes the new envelope's x axis
to have the same extent as the original's. 'reflected' causes every other
repetition to be in reverse."))
(lambda* (ur-env repeats reflected normalized)
(let ((e (if (not reflected)
ur-env
(let ((lastx (ur-env (- (length ur-env) 2)))
(rev-env (cddr (reverse ur-env)))
(new-env (reverse ur-env)))
(while (pair? rev-env)
(set! new-env (cons (- (+ lastx lastx) (cadr rev-env)) new-env))
(set! new-env (cons (car rev-env) new-env))
(set! rev-env (cddr rev-env)))
(reverse new-env)))))
(let ((first-y (cadr e))
(x (car e)))
(let ((x-max (e (- (length e) 2)))
(new-env (list first-y x)))
(let ((len (length e))
(times (if reflected (floor (/ repeats 2)) repeats))
(first-y-is-last-y (= first-y (e (- (length e) 1)))))
(do ((i 0 (+ i 1)))
((= i times))
(do ((j 2 (+ j 2)))
((>= j len))
(set! x (- (+ x (e j)) (e (- j 2))))
(set! new-env (cons (e (+ j 1)) (cons x new-env))))
(if (and (< i (- times 1)) (not first-y-is-last-y))
(begin
(set! x (+ x (/ x-max 100.0)))
(set! new-env (cons first-y (cons x new-env)))))))
(set! new-env (reverse new-env))
(if normalized
(do ((scl (/ x-max x))
(new-len (length new-env))
(i 0 (+ i 2)))
((>= i new-len))
(set! (new-env i) (* scl (new-env i)))))
new-env))))))
;;; -------- power-env
;;;
;;; (this could also be done using multi-expt-env (based on env-any) in generators.scm)
(if (provided? 'snd)
(require snd-ws.scm)
(require sndlib-ws.scm))
;;; (define pe (make-power-env '(0 0 1 1 2 0) :duration 1.0))
;;; :(power-env pe)
;;; 0.0
;;; :(power-env pe)
;;; 4.5352502324316e-05
;;; :(power-env pe)
;;; 9.0705004648631e-05
;;; :(power-env pe)
;;; 0.00013605750697295
(defgenerator penv (envs #f) (total-envs 0) (current-env 0) (current-pass 0))
(define (power-env pe)
(with-let pe
(let ((val (env (vector-ref envs current-env))))
(set! current-pass (- current-pass 1))
(when (and (= current-pass 0)
(< current-env (- total-envs 1)))
(set! current-env (+ current-env 1))
(set! current-pass (- (length (vector-ref envs current-env)) 1)))
val)))
(define* (make-power-env envelope (scaler 1.0) (offset 0.0) duration)
(let* ((len (- (floor (/ (length envelope) 3)) 1))
(pe (make-penv :envs (make-vector len)
:total-envs len
:current-env 0
:current-pass 0))
(xext (- (envelope (- (length envelope) 3)) (car envelope))))
(do ((i 0 (+ i 1))
(j 0 (+ j 3)))
((= i len))
(let ((x0 (envelope j))
(x1 (envelope (+ j 3)))
(y0 (envelope (+ j 1)))
(y1 (envelope (+ j 4)))
(base (envelope (+ j 2))))
(vector-set! (pe 'envs) i (make-env (list 0.0 y0 1.0 y1)
:base base :scaler scaler :offset offset
:duration (* duration (/ (- x1 x0) xext))))))
(set! (pe 'current-pass) (- (length (vector-ref (pe 'envs) 0)) 1))
pe))
(define* (power-env-channel pe (beg 0) snd chn edpos (edname "power-env-channel"))
;; split into successive calls on env-channel
(let ((curbeg beg)) ; sample number
(as-one-edit
(lambda ()
(do ((i 0 (+ i 1)))
((= i (pe 'total-envs)))
(let* ((e (vector-ref (pe 'envs) i))
(len (length e)))
(env-channel e curbeg len snd chn edpos)
(set! curbeg (+ curbeg len)))))
edname)))
;;; here's a simpler version that takes the breakpoint list, rather than the power-env structure:
(define powenv-channel
(let ((+documentation+ "(powenv-channel envelope (beg 0) dur snd chn edpos) returns an envelope with a separate base for \
each segment: (powenv-channel '(0 0 .325 1 1 32.0 2 0 32.0))"))
(lambda* (envelope (beg 0) dur snd chn edpos)
(let ((len (length envelope))
(x1 (car envelope)))
(let ((curbeg beg)
(fulldur (or dur (framples snd chn edpos)))
(xrange (- (envelope (- len 3)) x1))
(y1 (cadr envelope))
(base (caddr envelope))
(x0 0.0)
(y0 0.0))
(if (= len 3)
(scale-channel y1 beg dur snd chn edpos)
(as-one-edit
(lambda ()
(do ((i 3 (+ i 3)))
((= i len))
(set! x0 x1)
(set! y0 y1)
(set! x1 (envelope i))
(set! y1 (envelope (+ i 1)))
(let ((curdur (round (* fulldur (/ (- x1 x0) xrange)))))
(xramp-channel y0 y1 base curbeg curdur snd chn edpos)
(set! curbeg (+ curbeg curdur)))
(set! base (envelope (+ i 2))))))))))))
;;; by Anders Vinjar:
;;;
;;; envelope-exp can be used to create exponential segments to include in
;;; envelopes. Given 2 or more breakpoints, it approximates the
;;; curve between them using 'xgrid linesegments and 'power as the
;;; exponent.
;;;
;;; env is a list of x-y-breakpoint-pairs,
;;; power applies to whole envelope,
;;; xgrid is how fine a solution to sample our new envelope with.
(define envelope-exp
(let ((+documentation+ "(envelope-exp e (power 1.0) (xgrid 100)) approximates an exponential curve connecting the breakpoints"))
(lambda* (e (power 1.0) (xgrid 100))
(let ((mn (min-envelope e)))
(let ((largest-diff (* 1.0 (- (max-envelope e) mn)))
(x-min (car e))
(x-max (e (- (length e) 2))))
(do ((x-incr (* 1.0 (/ (- x-max x-min) xgrid)))
(new-e ())
(x x-min))
((>= x x-max)
(reverse new-e))
(let ((y (envelope-interp x e)))
(set! new-e (cons (if (= largest-diff 0.0)
y
(+ mn
(* largest-diff
(expt (/ (- y mn) largest-diff) power))))
(cons x new-e)))
(set! x (+ x x-incr)))))))))
;;; rms-envelope
(define rms-envelope
(let ((+documentation+ "(rms-envelope file (beg 0.0) (dur #f) (rfreq 30.0) (db #f)) returns an envelope of RMS values in 'file'"))
(lambda* (file (beg 0.0) dur (rfreq 30.0) db)
;; based on rmsenv.ins by Bret Battey
(let* ((fsr (srate file))
(start (round (* beg fsr)))
(end (if dur (min (* 1.0 (+ start (round (* fsr dur))))
(mus-sound-framples file))
(mus-sound-framples file))))
(let ((incrsamps (round (/ fsr rfreq)))
(len (- (+ end 1) start)))
(let ((reader (make-sampler start file))
(rms (make-moving-average incrsamps)) ; this could use make-moving-rms from dsp.scm
(e ())
(rms-val 0.0)
(jend 0)
(data (make-float-vector len)))
(do ((i 0 (+ i 1)))
((= i len))
(float-vector-set! data i (next-sample reader)))
(float-vector-multiply! data data)
(do ((i 0 (+ i incrsamps)))
((>= i end)
(reverse e))
(set! jend (min end (+ i incrsamps)))
(do ((j i (+ j 1)))
((= j jend))
(moving-average rms (float-vector-ref data j)))
(set! e (cons (* 1.0 (/ i fsr)) e))
(set! rms-val (sqrt (* (mus-scaler rms) (mus-increment rms))))
(set! e (cons (if db
(if (< rms-val 1e-05) -100.0 (* 20.0 (log rms-val 10.0)))
rms-val)
e)))))))))
(define* (normalize-envelope env1 (new-max 1.0))
(scale-envelope env1
(/ new-max
(let abs-max-envelope-1 ((e (cddr env1))
(mx (abs (cadr env1))))
(if (null? e)
mx
(abs-max-envelope-1 (cddr e) (max mx (abs (cadr e)))))))))
;;; simplify-envelope
;;;
;;; this is not very good...
(define simplify-envelope
;; grid = how fine a fluctuation we will allow.
;; the smaller the grid, the less likely a given bump will get through
;; original x and y values are not changed, just sometimes omitted.
(let ((point-on-line
(lambda (px py qx qy tx ty)
;; is point tx ty on line defined by px py and qx qy --
;; #f if no, :before if on ray from p, :after if on ray from q, :within if between p and q
;; (these are looking at the "line" as a fat vector drawn on a grid)
;; taken from "Graphics Gems" by Glassner, code by A Paeth
(if (or (= py qy ty)
(= px qx tx))
:within
(and (< (abs (- (* (- qy py) (- tx px))
(* (- ty py) (- qx px))))
(max (abs (- qx px))
(abs (- qy py))))
(if (or (< qx px tx) (< qy py ty) (< tx px qx) (< ty py qy))
:before
(if (or (< px qx tx) (< py qy ty) (< tx qx px) (< ty qy py))
:after
:within)))))))
(lambda* (env1 (ygrid 10) (xgrid 100))
(if (not (and env1
(> (length env1) 4)))
env1
(let ((new-env (list (cadr env1) (car env1)))
(ymax (max-envelope env1))
(ymin (min-envelope env1))
(xmax (env1 (- (length env1) 2)))
(xmin (car env1)))
(if (= ymin ymax)
(list xmin ymin xmax ymax)
(do ((y-scl (/ ygrid (- ymax ymin)))
(x-scl (/ (or xgrid ygrid) (- xmax xmin)))
(px #f) (py #f)
(qx #f) (qy #f)
(tx #f) (ty #f)
(qtx #f) (qty #f)
(i 0 (+ i 2)))
((>= i (length env1))
(set! new-env (cons qty (cons qtx new-env)))
(reverse new-env))
(let ((ttx (env1 i))
(tty (env1 (+ i 1))))
(set! tx (round (* ttx x-scl)))
(set! ty (round (* tty y-scl)))
(if px
(if (not (point-on-line px py qx qy tx ty))
(begin
(set! new-env (cons qty (cons qtx new-env)))
(set! px qx)
(set! py qy)))
(begin
(set! px qx)
(set! py qy)))
(set! qx tx)
(set! qy ty)
(set! qtx ttx)
(set! qty tty)))))))))