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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 | +} | |