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|
# env.rb -- snd/env.scm
# Translator/Author: Michael Scholz <mi-scholz@users.sourceforge.net>
# Created: 03/09/20 23:24:17
# Changed: 14/11/13 04:52:42
# module Env (see env.scm)
# envelope_interp(x, en, base)
# window_envelope(beg, dur, en)
# map_envelopes(en1, en2, &func)
# multiply_envelopes(en1, en2)
# add_envelopes(en1, en2)
# max_envelope(en)
# min_envelope(en)
# integrate_envelope(en)
# envelope_last_x(en)
# stretch_envelope(fn, old_att, new_att, old_dec, new_dec)
# scale_envelope(en, scale, offset)
# reverse_envelope(en) alias envelope_reverse
# concatenate_envelopes(*envs) alias envelope_concatenate
# repeat_envelope(ur_env, repeats, reflect, x_normalized) alias envelope_repeat
#
# class Power_env
# initialize(*rest)
# power_env
# power_env_channel(beg, dur, snd, chn, edpos, edname)
#
# make_power_env(*rest)
# power_env(pe)
# power_env_channel(pe, beg, dur, snd, chn, edpos)
# powenv_channel(envelope, beg, dur, snd, chn, edpos)
#
# envelope_exp(en, power, xgrid)
# rms_envelope(file, *rest)
#
# envelope_length(en)
# normalize_envelope(en, new_max)
# x_norm(en, xmax)
#
# exp_envelope(env, *args)
# [by Fernando Lopez-Lezcano (nando@ccrma.stanford.edu)]
# db_envelope(env, cutoff, error)
# make_db_env(env, *args)
# semitones_envelope(env, around, error)
# make_semitones_env(env, *args)
# octaves_envelope(env, around, error)
# make_octaves_env(env, *args)
require "clm"
module Env
add_help(:envelope_interp,
"envelope_interp(*args)
envelope_interp(x, env, base = 1.0) ==> value of env at x; \
BASE controls connecting segment type: \
envelope_interp(0.3, [0, 0, 0.5, 1, 1, 0]) ==> 0.6")
def envelope_interp(x, en, base = 1.0)
unless en.empty?
en.map! do |y|
y.to_f
end
end
if en.empty?
0.0
else
if x <= en[0] or en[2..-1].empty?
en[1]
else
if en[2] > x
if en[1] == en[3] or base.zero?
en[1]
else
if base == 1.0
en[1] +
(x - en[0]) *
((en[3] - en[1]) / (en[2] - en[0]))
else
en[1] +
((en[3] - en[1]) / (base - 1.0)) *
((base ** ((x - en[0]) / (en[2] - en[0]))) - 1.0)
end
end
else
envelope_interp(x, en[2..-1], base)
end
end
end
end
add_help(:window_envelope,
"window_envelope(beg, dur, env) \
Portion of ENV lying between x axis values BEG and DUR: \
window_envelope(1.0, 3.0, [0.0, 0.0, 5.0, 1.0]) ==> [1.0, 0.2, 3.0, 0.6]")
def window_envelope(beg, dur, en)
unless en.empty?
en.map! do |x|
x.to_f
end
end
nenv = []
lasty = en.empty? ? 0.0 : en[1]
len = en.length
0.step(len - 1, 2) do |i|
x = en[i]
y = lasty = en[i + 1]
if nenv.empty?
if x >= beg
nenv.push(beg, envelope_interp(beg, en))
unless x == beg
if x >= dur
return nenv.push(dur, envelope_interp(dur, en))
else
nenv.push(x, y)
end
end
end
else
if x <= dur
nenv.push(x, y)
return nenv if x == dur
else
if x > dur
return nenv.push(dur, envelope_interp(dur, en))
end
end
end
end
nenv.push(dur, lasty)
end
add_help(:map_envelopes,
"map_envelopes(env1, env2, &func) \
Maps FUNC over the breakpoints in ENV1 and ENV2 returning a new envelope.")
def map_envelopes(en1, en2, &func)
unless en1.empty?
en1.map! do |x|
x.to_f
end
end
if array?(en2) and (not en2.empty?)
en2.map! do |x|
x.to_f
end
end
xs = []
at0 = lambda do |e|
diff = e.first
lastx = e[-2]
0.step(e.length - 1, 2) do |i|
x = (e[i] - diff) / lastx
xs.push(x)
e[i] = x
end
e
end
if en1.empty?
at0.call(en2)
else
if en2.empty?
at0.call(en1)
else
ee1 = at0.call(en1)
ee2 = at0.call(en2)
newe = []
xs.uniq.sort.each do |x|
newe.push(x,
func.call(envelope_interp(x, ee1), envelope_interp(x, ee2)))
end
newe
end
end
end
add_help(:multiply_envelopes,
"multiply_envelopes(env1, env2) \
Multiplies break-points of ENV1 and ENV2 returning a new envelope: \
multiply_envelopes([0, 0, 2, 0.5], [0, 0, 1, 2, 2, 1]) ==> \
[0.0, 0.0, 0.5, 0.5, 1.0, 0.5]")
def multiply_envelopes(en1, en2)
map_envelopes(en1, en2) do |x, y|
x * y
end
end
add_help(:add_envelopes,
"add_envelopes(env1, env2) \
Adds break-points of ENV1 and ENV2 returning a new envelope.")
def add_envelopes(en1, en2)
map_envelopes(en1, en2) do |x, y|
x + y
end
end
add_help(:max_envelope,
"max_envelope(env) \
Returns max y value in ENV.")
def max_envelope(en)
mx = en[1].to_f
1.step(en.length - 1, 2) do |i|
mx = [mx, en[i]].max.to_f
end
mx
end
add_help(:min_envelope,
"min_envelope(env) \
Returns min y value in ENV.")
def min_envelope(en)
mn = en[1].to_f
1.step(en.length - 1, 2) do |i|
mn = [mn, en[i]].min.to_f
end
mn
end
add_help(:integrate_envelope,
"integrate_envelope(env) \
Returns area under ENV.")
def integrate_envelope(en)
sum = 0.0
0.step(en.length - 3, 2) do |i|
sum = sum + (en[i + 1] + en[i + 3]) * (en[i + 2] - en[i]) * 0.5
end
sum
end
add_help(:envelope_last_x,
"envelope_last_x(env) \
Returns max x axis break point position.")
def envelope_last_x(en)
en.empty? ? 0.0 : en[-2]
end
add_help(:stretch_envelope,
"stretch_envelope(fn, old_att, new_att, old_dec, new_dec) \
Takes FN and returns a new envelope based on it but with the attack \
and optionally decay portions stretched or squeezed; \
OLD_ATT is the original x axis attack end point, \
NEW_ATT is where that section should end in the new envelope. \
Similarly for OLD_DEC and NEW_DEC. \
This mimics divseg in early versions of CLM \
and its antecedents in Sambox and Mus10 (linen).
stretch_envelope([0, 0, 1, 1], 0.1, 0.2) ==> [0, 0, 0.2, 0.1, 1.0, 1]
stretch_envelope([0, 0, 1, 1, 2, 0], 0.1, 0.2, 1.5, 1.6)
==> [0, 0, 0.2, 0.1, 1.1, 1, 1.6, 0.5, 2.0, 0]")
def stretch_envelope(fn, old_att = false, new_att = false,
old_dec = false, new_dec = false)
unless array?(fn)
error("%s: need an envelope, %s", get_func_name, fn.inspect)
end
unless fn.empty?
fn.map! do |x|
x.to_f
end
end
if old_att and (not new_att)
Snd.raise(:wrong_number_of_args,
old_att.inspect,
"old_att but no new_att?")
else
if (not new_att)
fn
else
if old_dec and (not new_dec)
Snd.raise(:wrong_number_of_args,
format("%s %s %s", old_att, new_att, old_dec),
"old_dec but no new_dec?")
else
new_x = x0 = fn[0]
last_x = fn[-2]
y0 = fn[1]
new_fn = [x0, y0]
scl = (new_att - x0) / [0.0001, old_att - x0].max
if old_dec and old_dec == old_att
old_dec = old_dec + 0.000001 * last_x
end
fn[2..-1].each_pair do |x1, y1|
if x0 < old_att and x1 >= old_att
y0 = if x1 == old_att
y1
else
y0 + (y1 - y0) * ((old_att - x0) / (x1 - x0))
end
x0 = old_att
new_x = new_att
new_fn.push(new_x, y0)
scl = if old_dec
(new_dec - new_att) / (old_dec - old_att)
else
(last_x - new_att) / (last_x - old_att)
end
end
if old_dec and x0 < old_dec and x1 >= old_dec
y0 = if x1 == old_dec
y1
else
y0 + (y1 - y0) * ((old_dec - x0) / (x1 - x0))
end
x0 = old_dec
new_x = new_dec
new_fn.push(new_x, y0)
scl = (last_x - new_dec) / (last_x - old_dec)
end
if x0 != x1
new_x = new_x + scl * (x1 - x0)
new_fn.push(new_x, y1)
x0, y0 = x1, y1
end
end
new_fn
end
end
end
end
add_help(:scale_envelope,
"scale_envelope(env, scale, offset = 0.0) \
Scales y axis values by SCALER and optionally adds OFFSET.")
def scale_envelope(en, scale, offset = 0.0)
1.step(en.length - 1, 2) do |i|
en[i] = en[i] * scale + offset
end
en
end
add_help(:reverse_envelope,
"reverse_envelope(env) \
Reverses the breakpoints in ENV.")
def reverse_envelope(en1)
len = en1.length
if len.zero? or len == 2
en1
else
en2 = en1.dup
xmax = en1[-2]
0.step(len - 2, 2) do |i|
en2[-(i + 2)], en2[-(i + 1)] = xmax - en1[i], en1[i + 1]
end
en2
end
end
alias envelope_reverse reverse_envelope
add_help(:concatenate_envelopes,
"concatenate_envelopes(*envs) \
Concatenates its arguments into a new envelope.")
def concatenate_envelopes(*envs)
if envs.length == 1
envs.first
else
xoff = 0.0
ren = []
envs.each do |en|
(en or []).map! do |x|
x.to_f
end
firstx = en.first
if ren[-1] == en[1]
xoff -= 0.01
en = en[2..-1]
end
0.step(en.length - 1, 2) do |i|
ren.push(xoff + (en[i] - firstx), en[i + 1])
end
xoff += 0.01 + ren[-2]
end
ren
end
end
alias envelope_concatenate concatenate_envelopes
add_help(:repeat_envelope,
"repeat_envelope(ur_env, repeats, reflected = false, \
x_normalized = false) \
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. \
X_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.")
def repeat_envelope(ur_env, repeats, reflected = false, x_normalized = false)
(ur_env or []).map! do |x|
x.to_f
end
tms = (reflected ? (repeats / 2).floor : repeats)
en = if reflected
lastx = ur_env[-2]
new_env = ur_env.dup
rev_env = ur_env[0..-3].reverse
0.step(rev_env.length - 1, 2) do |i|
new_env.push(lastx + (lastx - rev_env[i + 1]), rev_env[i])
end
new_env
else
ur_env
end
(en or []).map! do |x|
x.to_f
end
first_y = en[1]
x_max = en[-2]
x = en.first
first_y_is_last_y = (first_y == en.last)
new_env = [first_y, x]
len = en.length
tms.times do |i|
2.step(len - 1, 2) do |j|
x += en[j] - en[j - 2]
new_env.push(x, en[j + 1])
end
if (i < tms - 1) and (not first_y_is_last_y)
x = x + x_max / 100.0
new_env.push(x, first_y)
end
end
if x_normalized
scl = x_max / x
0.step(new_env.length - 1, 2) do |i|
new_env[i] *= scl
end
end
new_env
end
alias envelope_repeat repeat_envelope
class Power_env
def initialize(*rest)
envelope, scaler, offset, duration = nil
optkey(rest, binding,
[:envelope, [0, 0, 1, 100, 1, 1]],
[:scaler, 1.0],
[:offset, 0.0],
[:duration, 0.0])
envelope.map! do |val|
Float(val)
end
xext = envelope[-3] - envelope.first
j = 0
@envs = make_array(envelope.length / 3 - 1) do |i|
x0 = envelope[j]
x1 = envelope[j + 3]
y0 = envelope[j + 1]
y1 = envelope[j + 4]
base = envelope[j + 2]
j += 3
make_env(:envelope, [0.0, y0, 1.0, y1],
:base, base,
:scaler, scaler,
:offset, offset,
:duration, duration * ((x1 - x0) / xext))
end
@current_pass = mus_length(@envs.first)
@current_env = 0
end
def power_env
val = env(@envs[@current_env])
@current_pass -= 1
if @current_pass.zero? and @current_env < (@envs.length - 1)
@current_env += 1
@current_pass = mus_length(@envs[@current_env])
end
val
end
def power_env_channel(beg, dur, snd, chn, edpos, edname)
curbeg = beg
as_one_edit_rb(edname) do | |
@envs.each do |en|
len = mus_length(en) + 1
env_channel(en, curbeg, len, snd, chn, edpos)
curbeg += len
end
end
end
end
# Power envelope
def make_power_env(*rest)
Power_env.new(*rest)
end
def power_env(pe)
pe.power_env
end
def power_env_channel(pe, beg = 0, dur = false,
snd = false, chn = false, edpos = false)
pe.power_env_channel(beg, dur, snd, chn, edpos, get_func_name)
end
def powenv_channel(envelope, beg = 0, dur = false,
snd = false, chn = false, edpos = false)
curbeg = beg
fulldur = (dur or framples(snd, chn, edpos))
len = envelope.length
x1 = envelope[0]
xrange = envelope[len - 3] - x1
y1 = envelope[1]
base = envelope[2]
x0 = y0 = 0.0
if len == 3
scale_channel(y1, beg, dur, snd, chn, edpos)
else
as_one_edit_rb(get_func_name) do | |
3.step(len - 1, 3) do |i|
x0, x1 = x1, envelope[i]
y0, y1 = y1, envelope[i + 1]
curdur = (fulldur * ((x1 - x0) / xrange)).round
xramp_channel(y0, y1, base, curbeg, curdur, snd, chn, edpos)
curbeg += curdur
base = envelope[i + 2]
end
end
end
end
# 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.
def envelope_exp(en, power = 1.0, xgrid = 100)
unless en.empty?
en.map! do |x|
x.to_f
end
end
mn = min_envelope(en)
largest_diff = max_envelope(en) - mn
x_min = en.first
x_max = en[-2]
x_incr = (x_max - x_min) / xgrid.to_f
new_en = []
x_min.step(x_max, x_incr) do |x|
y = envelope_interp(x, en)
new_en.push(x,
(largest_diff.zero? ?
y :
(mn + largest_diff * (((y - mn) / largest_diff) ** power))))
end
new_en
end
def rms_envelope(file, *rest)
beg, dur, rfreq, db = nil
optkey(rest, binding,
[:beg, 0.0],
:dur,
[:rfreq, 30.0],
:db)
e = []
incr = 1.0 / rfreq
fsr = mus_sound_srate(file)
incrsamps = (incr * sfr).round
start = (beg * fsr).round
reader = make_sampler(start, file)
fin = dur ?
[start + (fsr * dur).round, mus_sound_framples(file)].min :
mus_sound_framples(file)
rms = make_moving_average(incrsamps)
0.step(fin, incrsamps) do |i|
rms_val = 0.0
incrsamps.times do |j|
val = reader.call
rms_val = moving_average(rms, val * val)
end
e.push(i.to_f / fsr)
rms_val = sqrt(rms_val)
if db
if rms_val < 0.00001
e.push(-100.0)
else
e.push(20.0 * (log(rms_val) / log(10.0)))
end
else
e.push(rms_val)
end
end
end
def envelope_length(en)
en.length / 2
end
def normalize_envelope(en, new_max = 1.0)
mx = en[1].abs.to_f
1.step(en.length - 1, 2) do |i|
mx = [mx, en[i].abs].max.to_f
end
scale_envelope(en, new_max / mx)
end
def x_norm(en, xmax)
scl = xmax / en[-2].to_f
en.each_pair do |x, y|
[x * scl, y.to_f]
end.flatten
end
# ;;;=======================================================================
# ;;; Exponential envelopes
# ;;;=======================================================================
#
# ;;; Approximate an exponential envelope with a given base and error bound
# ;;; by Fernando Lopez-Lezcano (nando@ccrma.stanford.edu)
# ;;;
# ;;; base:
# ;;; step size of the exponential envelope
# ;;; error:
# ;;; error band of the approximation
# ;;; scaler:
# ;;; scaling factor for the y coordinates
# ;;; offset:
# ;;; offset for the y coordinates
# ;;; cutoff:
# ;;; lowest value of the exponentially rendered envelope, values lower than
# ;;; this cutoff value will be approximated as cero.
# ;;; out-scaler
# ;;; scaler for the converted values
def exp_envelope(env, *args)
base, error, scaler, offset, cutoff, out_scaler = nil
optkey(args, binding,
[:base, 2 ** (1.0 / 12)],
[:error, 0.01],
[:scaler, 1.0],
[:offset, 0.0],
:cutoff,
[:out_scaler, 1.0])
result = []
ycutoff = (cutoff ? (base ** (offset + cutoff * scaler)) : false)
interpolate = lambda do |xl, yl, xh, yh, xi|
yl + (xi - xl) * ((yh - yl) / (xh - xl))
end
exp_seg = lambda do |xl, yle, xh, yhe, yl, yh, err|
xint = (xl + xh) / 2.0
yint = interpolate.call(xl, yl, xh, yh, xint)
yinte = interpolate.call(xl, yle, xh, yhe, xint)
yexp = base ** yint
yerr = base ** (yint + err) - yexp
if (yexp - yinte).abs > yerr and ((ycutoff and yinte > ycutoff) or true)
xi, yi = exp_seg.call(xl, yle, xint, yexp, yl, yint, err)
xj, yj = exp_seg.call(xint, yexp, xh, yhe, yint, yh, err)
[xi + [xint] + xj, yi + [yexp] + yj]
else
[[], []]
end
end
nx = nyscl = 0.0
0.step(env.length - 4, 2) do |i|
x = env[i]
y = env[i + 1]
nx = env[i + 2]
ny = env[i + 3]
yscl = offset + y * scaler
nyscl = offset + ny * scaler
result.push(x)
result.push((((not ycutoff) or base ** yscl >= ycutoff) ?
(out_scaler * base ** yscl) : 0.0))
xs, ys = exp_seg.call(x, base ** yscl,
nx, base ** nyscl, yscl, nyscl, error)
unless xs.empty?
ys_scaled = vct_scale!(list2vct(ys), out_scaler)
xs.each_with_index do |xx, ii|
result.push(xx)
result.push(ys_scaled[ii])
end
end
end
result.push(nx)
result.push((((not ycutoff) or base ** nyscl >= ycutoff) ?
(out_scaler * base ** nyscl) : 0.0))
end
# ;;; Amplitude envelope in dBs
# ;;;
# ;;; The db scale is defined as:
# ;;; value(db)=(* 20 (log10 (/ vin vref)))
# ;;; where:
# ;;; vref=1.0 reference value = digital clipping
def db_envelope(env, cutoff = -70, error = 0.01)
exp_envelope(env, :base, 10.0, :scaler, 1.0 / 20,
:cutoff, cutoff, :error, error)
end
def make_db_env(env, *args)
scaler, offset, base, duration, len, cutoff, error = nil
optkey(args, binding,
[:scaler, 1.0],
[:offset, 0.0],
[:base, 1.0],
[:duration, 0.0],
[:len, 0],
[:cutoff, -70],
[:error, 0.01])
make_env(:envelope, db_envelope(env, cutoff, error), :scaler, scaler,
:offset, offset, :base, base, :duration, duration, :length, len)
end
# ;;; Pitch envelopes (y units are semitone and octave intervals)
def semitones_envelope(env, around = 1.0, error = 0.01)
exp_envelope(env, :error, error, :out_scaler, around)
end
def make_semitones_env(env, *args)
around, scaler, offset, base, dur, len, error = nil
optkey(args, binding,
[:around, 1.0],
[:scaler, 1.0],
[:offset, 0.0],
[:base, 1.0],
[:duration, 0.0],
[:len, 0],
[:error, 0.01])
make_env(:envelope, semitones_envelope(env, around, error),
:scaler, scaler, :offset, offset,
:base, base, :duration, dur, :length, len)
end
def octaves_envelope(env, around = 1.0, error = 0.01)
exp_envelope(env, :error, error, :base, 2.0, :out_scaler, around)
end
def make_octaves_env(env, *args)
around, scaler, offset, base, dur, len, error = nil
optkey(args, binding,
[:around, 1.0],
[:scaler, 1.0],
[:offset, 0.0],
[:base, 1.0],
[:duration, 0.0],
[:len, 0],
[:error, 0.01])
make_env(:envelope, octaves_envelope(env, around, error),
:scaler, scaler, :offset, offset,
:base, base, :duration, dur, :length, len)
end
end
include Env
=begin
# power envelope test (clm/env.lisp)
def test_power_env(start, dur, en)
os = make_oscil()
pe = make_power_env(:envelope, en, :duration, dur, :scaler, 0.5)
beg, len = times2samples(start, dur)
(beg...len).each do |i| outa(i, power_env(pe) * oscil(os), $output) end
end
with_sound(:channels, 1, :play, 1) do | |
test_power_env(0, 1, [0, 0, 0.325, 1, 1, 32, 2, 0, 0])
test_power_env(1.2, 1,
[0, 0, 0.325, 1, 1, 32, 2, 0.5, 1, 3, 1, 0.1234, 4, 0, 0])
test_power_env(2.4, 1,
[0, 0, 0, 1, 1, 1, 2, 0.5, 0.123, 3, 1, 321, 4, 0, 0])
end
=end
# env.rb ends here
|