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| 1 | /* | ||
| 2 | ============================================================================== | ||
| 3 | |||
| 4 | leaf-wavefolder.cpp | ||
| 5 | Created: 30 Nov 2018 11:56:49am | ||
| 6 | Author: airship | ||
| 7 | |||
| 8 | ============================================================================== | ||
| 9 | */ | ||
| 10 | |||
| 11 | #if _WIN32 || _WIN64 | ||
| 12 | |||
| 13 | #include "..\Inc\leaf-wavefolder.h" | ||
| 14 | |||
| 15 | #else | ||
| 16 | |||
| 17 | #include "../Inc/leaf-wavefolder.h" | ||
| 18 | |||
| 19 | #endif | ||
| 20 | |||
| 21 | void tLockhartWavefolderInit(tLockhartWavefolder* const w) | ||
| 22 | { | ||
| 23 | w->Ln1 = 0.0; | ||
| 24 | w->Fn1 = 0.0; | ||
| 25 | w->xn1 = 0.0; | ||
| 26 | } | ||
| 27 | |||
| 28 | double tLockhartWavefolderLambert(double x, double ln) | ||
| 29 | { | ||
| 30 | double w = ln; | ||
| 31 | double expw, p, r, s, err, q; | ||
| 32 | |||
| 33 | for (int i = 0; i < 1000; i++) | ||
| 34 | { | ||
| 35 | //err = x * (logf(x) - logf(w)); | ||
| 36 | |||
| 37 | /* | ||
| 38 | r = logf(x / w) - w; | ||
| 39 | q = 2.0f * (1.0f+w) * (1.0f + w + 0.666666666f*r); | ||
| 40 | err = (r / (1.0f+w)) * ((q - r) / (q - 2*r)); | ||
| 41 | */ | ||
| 42 | expw = exp(w); | ||
| 43 | |||
| 44 | p = (w * expw) - x; | ||
| 45 | r = (w + 1.0) * expw; | ||
| 46 | s = (w + 2.0) / (2.0 * (w + 1.0)); | ||
| 47 | err = (p/(r-(p*s))); | ||
| 48 | |||
| 49 | if (fabs(err) < THRESH) break; | ||
| 50 | |||
| 51 | w -= err; | ||
| 52 | //w = w * (1 + err); | ||
| 53 | //w = w - err; | ||
| 54 | } | ||
| 55 | |||
| 56 | return w; | ||
| 57 | } | ||
| 58 | |||
| 59 | float tLockhartWavefolderTick(tLockhartWavefolder* const w, float samp) | ||
| 60 | { | ||
| 61 | int l; | ||
| 62 | double u, Ln, Fn, xn; | ||
| 63 | float o; | ||
| 64 | |||
| 65 | samp=(double)samp; | ||
| 66 | // Compute Antiderivative | ||
| 67 | if (samp > 0) l = 1; | ||
| 68 | else if (samp < 0) l = -1; | ||
| 69 | else l = 0; | ||
| 70 | |||
| 71 | u = LOCKHART_D * exp(l*LOCKHART_B*samp); | ||
| 72 | Ln = tLockhartWavefolderLambert(u, w->Ln1); | ||
| 73 | Fn = (0.5 * VT_DIV_B) * (Ln*(Ln + 2.0)) - 0.5*LOCKHART_A*samp*samp; | ||
| 74 | |||
| 75 | // Check for ill-conditioning | ||
| 76 | if (fabs(samp - w->xn1) < ILL_THRESH) | ||
| 77 | { | ||
| 78 | // Compute Averaged Wavefolder Output | ||
| 79 | xn = 0.5*(samp + w->xn1); | ||
| 80 | u = LOCKHART_D*exp(l*LOCKHART_B*xn); | ||
| 81 | Ln = tLockhartWavefolderLambert(u, w->Ln1); | ||
| 82 | o = (float)((l*LOCKHART_VT*Ln) - (LOCKHART_A*xn)); | ||
| 83 | } | ||
| 84 | else | ||
| 85 | { | ||
| 86 | // Apply AA Form | ||
| 87 | o = (float)((Fn - w->Fn1)/(samp - w->xn1)); | ||
| 88 | } | ||
| 89 | |||
| 90 | /* | ||
| 91 | // Check for ill-conditioning | ||
| 92 | if (abs(in1-xn1)<thresh) { | ||
| 93 | |||
| 94 | // Compute Averaged Wavefolder Output | ||
| 95 | xn = 0.5*(in1+xn1); | ||
| 96 | u = d*pow(e,l*b*xn); | ||
| 97 | Ln = Lambert_W(u,Ln1); | ||
| 98 | out1 = l*VT*Ln - a*xn; | ||
| 99 | |||
| 100 | } | ||
| 101 | else { | ||
| 102 | |||
| 103 | // Apply AA Form | ||
| 104 | out1 = (Fn-Fn1)/(in1-xn1); | ||
| 105 | |||
| 106 | } | ||
| 107 | */ | ||
| 108 | |||
| 109 | // Update States | ||
| 110 | w->Ln1 = Ln; | ||
| 111 | w->Fn1 = Fn; | ||
| 112 | w->xn1 = samp; | ||
| 113 | |||
| 114 | return o; | ||
| 115 | } | ||