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Python

#!/usr/bin/env python3
"""Fast joint refit: pre-compute STFTs, only recompute gain+OLA per iteration."""
import sys, numpy as np
sys.path.insert(0, '/home/m/re-tools')
from render_parity import load
from scipy.interpolate import PchipInterpolator
from scipy.optimize import minimize
import wave
BT='/home/m/soothe-bt/'; FS=44100.0; GAIN=4.132; N=2048; HOP=512
TATT, TREL = 0.011, 0.08
WIN = np.sqrt(np.hanning(N)); WSUM = WIN.sum()
LX = np.array([-0.75,-0.5012,-0.5,-0.2012,0.0988,0.2488,0.3988,0.5488,0.574,0.61,0.75,1.0])
LY = np.array([0.4402,0.366,0.4552,0.459,0.541,0.576,0.608,0.636,0.5645,0.6471,0.6562,0.6670])
_ip=PchipInterpolator(LX,LY); _lymin,_lymax=LY.min(),LY.max()
def lut(x): return np.clip(_ip(np.asarray(x)),_lymin,_lymax)
def bandres(f, fc, Q):
w0=fc*2*np.pi/FS; c,s=np.cos(w0),np.sin(w0)
p=(s*0.5)/Q; a,a2=p*GAIN,p/GAIN
A_=[a+1,-2*c,1-a]; B_=[a2+1,-2*c,1-a2]
w=2*np.pi*np.asarray(f)/FS; z=np.exp(-1j*w)
return np.abs(2.0*(B_[0]+B_[1]*z+B_[2]*z*z)/(A_[0]+A_[1]*z+A_[2]*z*z))
def warp(f): x=np.asarray(f)/2000.0; return 0.87*7.942*x/(7.942+x)
def precompute(x, fc, Q):
"""Pre-compute STFT + res + freqs (independent of G/W/A/rp)."""
nfr=max(1,int(np.ceil((len(x)-N)/HOP))+1)
X=np.empty((nfr,N//2+1),dtype=np.complex128)
for m in range(nfr):
s=m*HOP; seg=np.zeros(N); k=min(N,len(x)-s); seg[:k]=x[s:s+k]
X[m]=np.fft.rfft(WIN*seg)
freqs=np.fft.rfftfreq(N,1/FS); res=bandres(freqs,fc,Q)
return X, freqs, res, nfr
def render_fast(X, freqs, res, nfr, G_, W_, A_, rp):
att=np.exp(-HOP/(TATT*FS)); rel=np.exp(-HOP/(TREL*FS))
am=np.zeros(freqs.size); G=np.empty(X.shape)
freq_term = warp(freqs)**A_
for m in range(nfr):
ac=2*np.abs(X[m])/WSUM
am=np.where(ac>am, att*am+(1-att)*ac, rel*am+(1-rel)*ac)
xv=np.log10(np.maximum(am/np.maximum(res,1e-12),1e-9))
C_=G_*lut(xv)+W_*freq_term
G[m]=np.maximum(1-np.minimum(C_,0.95),1e-9)*np.power(np.maximum(res,1e-12),rp)
out=np.zeros(nfr*HOP+N); acc=np.zeros(len(out))
for m in range(nfr):
seg=np.fft.irfft(X[m]*G[m])*WIN; s=m*HOP; lay=min(N,len(out)-s)
out[s:s+lay]+=seg[:lay]; acc[s:s+lay]+=(WIN*WIN)[:lay]
return out/np.maximum(acc[:len(out)],1e-12)
def tone_cmp(x,f,seglen=0.75*FS):
x=np.asarray(x)[-int(seglen):]; n=len(x); t=np.arange(n)/FS; w=2*np.pi*f
return np.hypot(2*np.sum(x*np.cos(w*t))/n,2*np.sum(x*np.sin(w*t))/n)
def dB(v): return 20*np.log10(np.clip(v,1e-9,None))
def load_wav(p,bits):
w=wave.open(p,'rb'); n_=w.getnframes(); ch=w.getnchannels(); d=w.readframes(n_)
if bits==16: return np.frombuffer(d,dtype=np.int16).astype(float).reshape(-1,ch).mean(1)/32768.0
raw=np.frombuffer(d,dtype=np.uint8).reshape(-1,3)
v=(raw[:,0].astype(np.int64)|(raw[:,1].astype(np.int64)<<8)|(raw[:,2].astype(np.int64)<<16))
v=np.where(v>=0x800000,v-0x1000000,v).astype(float)/8388607.0
return v.reshape(-1,ch).mean(1)
# Pre-compute all STFTs
print("Pre-computing STFTs...")
dual_x = np.mean(load(BT+'dual.wav'),axis=1)
dual_data = {} # (q, f) -> (X, res, nfr, tone_ref)
for q, ref in [(0.1,'dual_b1q_0.1.wav'),(1.0,'dual_b1q_1.0.wav'),(10.0,'dual_b1q_10.0.wav')]:
X, freqs, res, nfr = precompute(dual_x, 500.0, q)
r = np.mean(load(BT+ref),axis=1)
for f in (500,2000):
tone_ref = dB(tone_cmp(r, f))
dual_data[(q,f)] = (X, res, nfr, tone_ref)
dual_tone_in = {f: dB(tone_cmp(dual_x, f)) for f in (500,2000)}
al_data = {} # lv -> (X, res, nfr, ref_ratio)
for lv in [3,6,9,12,18,24]:
xi = load_wav(f'{BT}lvl_tone_lv{lv}.wav',16)
xo = load_wav(f'{BT}al_{lv}.wav',24)
X, freqs, res, nfr = precompute(xi, 1000.0, 0.9999978)
ref_ratio = tone_cmp(xo,1000)/tone_cmp(xi,1000)
al_data[lv] = (X, res, nfr, ref_ratio)
print(f"Dual: {len(dual_data)} cases, al_*: {len(al_data)} cases")
# Joint objective
def obj(logp, w_al=0.5):
lG,W_,A_,rp = logp; G_=np.exp(lG)
errs=[]
# Dual (weight 1.0)
for (q,f),(X,res,nfr,tone_ref) in dual_data.items():
y=render_fast(X,freqs,res,nfr,G_,W_,A_,rp)
out=dB(tone_cmp(y,f))
errs.append(out-tone_ref)
# al_* (weight w_al)
for lv,(X,res,nfr,ref_ratio) in al_data.items():
y=render_fast(X,freqs,res,nfr,G_,W_,A_,rp)
out_ratio=tone_cmp(y,1000)
out_dB=dB(out_ratio)
ref_dB=dB(ref_ratio)
errs.append(w_al*(out_dB-ref_dB))
return np.mean(np.abs(errs))
best=(999,None,None)
for w_al in [0.0, 0.5, 1.0]:
for p0 in [np.log([0.97,0.35,1.09,0.05]), np.log([1.0,0.3,1.5,0.1])]:
r = minimize(obj, p0, args=(w_al,), method='Nelder-Mead', options=dict(maxiter=3000, xatol=1e-5))
if r.fun < best[0]: best=(r.fun, r.x, w_al)
p=best[1]; G_=np.exp(p[0]); w_al=best[2]
print(f'\nBEST: G={G_:.4f} W={p[1]:.4f} A={p[2]:.4f} rp={p[3]:.4f} w_al={w_al:.1f} mean={best[0]:.3f}')
print('\ndual:')
for q in [0.1,1.0,10.0]:
for f in [500,2000]:
X,res,nfr,tone_ref=dual_data[(q,f)]
y=render_fast(X,freqs,res,nfr,G_,p[1],p[2],p[3])
err=dB(tone_cmp(y,f))-tone_ref
print(f' q{q} @{f}: err={err:+.2f} ref={tone_ref-dual_tone_in[f]:+.2f} out={dB(tone_cmp(y,f))-dual_tone_in[f]:+.2f}')
print('\nal_*:')
for lv in [3,6,9,12,18,24]:
X,res,nfr,ref_ratio=al_data[lv]
y=render_fast(X,freqs,res,nfr,G_,p[1],p[2],p[3])
out_dB=dB(tone_cmp(y,1000)); ref_dB=dB(ref_ratio)
print(f' lv{lv}: ref={ref_dB:+.2f} out={out_dB:+.2f} err={out_dB-ref_dB:+.2f}')