#!/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}')