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|
|
|
| ClearAll[FSOTSeeds, FSOTDerived, FSOTScalarSym, FSOTPrintPathway];
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|
|
| FSOTSeeds[] := Association[
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| "pi" -> Pi,
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| "e" -> E,
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| "phi" -> (1 + Sqrt[5])/2,
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| "gamma" -> EulerGamma,
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| "G_cat" -> Catalan
|
| ];
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|
|
| FSOTDerived[] := Module[{s = FSOTSeeds[], pi, e, phi, gamma, G},
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| pi = s["pi"]; e = s["e"]; phi = s["phi"]; gamma = s["gamma"]; G = s["G_cat"];
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| Association[
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| "alpha" -> Log[pi]/(e*phi^13),
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| "psi_con" -> 1 - 1/e,
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| "eta_eff" -> 1/(pi - 1),
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| "beta" -> Exp[-(pi^pi + (e - 1))],
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| "gamma_c" -> -Log[2]/phi,
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| "omega" -> Sin[pi/e]*Sqrt[2],
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| "theta_s" -> Sin[(1 - 1/e)*(1/(pi - 1))],
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| "poof" -> Exp[(-Log[pi]/e)/((1/(pi - 1))*Log[phi])],
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| "c_eff" -> (1 - Exp[(-Log[pi]/e)/((1/(pi - 1))*Log[phi])]*Sin[Sin[(1-1/e)*(1/(pi-1))]])
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| *(1 + 0.01*G/(pi*phi)),
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| "a_bleed" -> Sin[pi/e]*phi/Sqrt[2],
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| "p_var" -> -Cos[Sin[(1-1/e)*(1/(pi-1))] + pi],
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| "b_in" -> With[{ce = (1 - Exp[(-Log[pi]/e)/((1/(pi-1))*Log[phi])]*Sin[Sin[(1-1/e)*(1/(pi-1))]])*(1+0.01*G/(pi*phi)),
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| ts = Sin[(1-1/e)*(1/(pi-1))]}, ce*(1 - Sin[ts]/phi)],
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| "a_in" -> With[{ab = Sin[pi/e]*phi/Sqrt[2], ts = Sin[(1-1/e)*(1/(pi-1))]}, ab*(1 + Cos[ts]/phi)],
|
| "suction" -> With[{pf = Exp[(-Log[pi]/e)/((1/(pi-1))*Log[phi])], ts = Sin[(1-1/e)*(1/(pi-1))]}, pf*(-Cos[ts - pi])],
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| "chaos" -> (-Log[2]/phi)/(Sin[pi/e]*Sqrt[2]),
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| "p_base" -> gamma/e,
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| "p_new" -> (gamma/e)*Sqrt[2],
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| "c_factor" -> With[{ce = (1 - Exp[(-Log[pi]/e)/((1/(pi-1))*Log[phi])]*Sin[Sin[(1-1/e)*(1/(pi-1))]])*(1+0.01*G/(pi*phi))},
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| ce*(gamma/e)*Sqrt[2]],
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| "K" -> phi*(gamma/e)*Sqrt[2]/Log[pi]*0.99
|
| ]
|
| ];
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|
|
|
|
| FSOTScalarSym[opts:OptionsPattern[{
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| N->1., P->1., DEff->12., RecentHits->0., DeltaPsi->0.8, DeltaTheta->1.,
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| Rho->1., Scale->1., Amplitude->1., TrendBias->0., Observed->True
|
| }]] := Module[{
|
| d = FSOTDerived[], s = FSOTSeeds[],
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| n, p, de, hits, dp, dt, rho, sc, amp, tb, obs,
|
| growth, npSqrt, cosPsi, expD, coh, base, dScale, t1, qm, t2,
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| chaosMod, poofMod, valve, acoustic, phase, t3, raw, S, steps = {}
|
| },
|
| n = OptionValue[N]; p = OptionValue[P]; de = OptionValue[DEff];
|
| hits = OptionValue[RecentHits]; dp = OptionValue[DeltaPsi]; dt = OptionValue[DeltaTheta];
|
| rho = OptionValue[Rho]; sc = OptionValue[Scale]; amp = OptionValue[Amplitude];
|
| tb = OptionValue[TrendBias]; obs = OptionValue[Observed];
|
| growth = Exp[d["alpha"]*(1 - hits/n)*s["gamma"]/s["phi"]];
|
| npSqrt = n*p/Sqrt[de];
|
| cosPsi = Cos[(d["psi_con"] + dp)/d["eta_eff"]];
|
| expD = Exp[-d["alpha"]*hits/n + rho + d["b_in"]*dp];
|
| coh = 1 + growth*d["c_eff"];
|
| base = npSqrt*cosPsi*expD*coh;
|
| dScale = 1 + d["p_new"]*Log[de/25];
|
| t1 = base*dScale; qm = 1;
|
| If[obs, qm = Exp[d["c_factor"]*d["p_var"]]*Cos[dp + d["p_var"]]; t1 = t1*qm];
|
| t2 = sc*amp + tb;
|
| chaosMod = 1 + d["chaos"]*(de - 25)/25;
|
| poofMod = 1 + d["poof"]*Cos[d["theta_s"] + Pi] + d["suction"]*Sin[d["theta_s"]];
|
| valve = d["beta"]*Cos[dp]*npSqrt*chaosMod*poofMod;
|
| acoustic = 1 + (d["a_bleed"]*Sin[dt]^2)/s["phi"] + (d["a_in"]*Cos[dt]^2)/s["phi"];
|
| phase = 1 + d["b_in"]*d["p_var"];
|
| t3 = valve*acoustic*phase;
|
| raw = t1 + t2 + t3; S = d["K"]*raw;
|
| Association[
|
| "K" -> N[d["K"]], "T1" -> N[t1], "T2" -> N[t2], "T3" -> N[t3],
|
| "raw" -> N[raw], "S" -> N[S], "quirk_mod" -> N[qm], "growth" -> N[growth]
|
| ]
|
| ];
|
|
|
| FSOTPrintPathway[] := Module[{d = N[FSOTDerived[]], panel},
|
| Print["=== FSOT Symbolic Microscope (numeric eval of seeds→derived) ==="];
|
| Print["K = ", d["K"]];
|
| Print["psi_con, eta_eff, c_eff, p_var = ", d["psi_con"], ", ", d["eta_eff"], ", ", d["c_eff"], ", ", d["p_var"]];
|
| panel = FSOTScalarSym[DEff -> 12., DeltaPsi -> 0.8, Observed -> True];
|
| Print["linguistic panel: ", panel];
|
| panel
|
| ];
|
|
|
| |
| |
| |
| |
|
|
|
|
