From be2aa67bc39d2e0b895738a94f24d5e89548f653 Mon Sep 17 00:00:00 2001
From: Jaron Kent-Dobias <jaron@kent-dobias.com>
Date: Sat, 19 Apr 2025 17:07:05 -0300
Subject: Back to the old scheme

---
 log-fourier_integrator.cpp | 6 +++++-
 1 file changed, 5 insertions(+), 1 deletion(-)

diff --git a/log-fourier_integrator.cpp b/log-fourier_integrator.cpp
index 9e9e46d..d7486e4 100644
--- a/log-fourier_integrator.cpp
+++ b/log-fourier_integrator.cpp
@@ -94,18 +94,22 @@ int main(int argc, char* argv[]) {
       Real ΔC₀ = 100;
       unsigned it = 0;
       while (ΔC > ε) {
+        std::vector<Real> dfC(N);
         std::vector<Real> RddfC(N);
         for (unsigned n = 0; n < N; n++) {
           RddfC[n] = Rₜ[n] * ddf(λ, p, s, Cₜ[n]);
+          dfC[n] = df(λ, p, s, Cₜ[n]);
         }
         std::vector<Complex> RddfCt = fft.fourier(RddfC, false);
+        std::vector<Complex> dfCt = fft.fourier(dfC, true);
 
         std::vector<Complex> Ȓₜ₊₁(N);
         std::vector<Complex> Ĉₜ₊₁(N);
 
         for (unsigned n = 0; n < N; n++) {
           Ȓₜ₊₁[n] = (1.0 + pow(β, 2) * RddfCt[n] * Ȓₜ[n]) / (μ + 1i * fft.ν(n));
-          Ĉₜ₊₁[n] = - 2 * Γ₀ * Ȓₜ₊₁[n].imag() / (1 + pow(τ₀ * fft.ν(n), 2)) / fft.ν(n);
+//          Ĉₜ₊₁[n] = - 2 * Γ₀ * Ȓₜ₊₁[n].imag() / (1 + pow(τ₀ * fft.ν(n), 2)) / fft.ν(n);
+          Ĉₜ₊₁[n] = (2 * Γ₀ * std::conj(Ȓₜ₊₁[n]) / (1 + pow(τ₀ * fft.ν(n), 2)) + pow(β, 2) * (RddfCt[n] * Ĉₜ[n] + dfCt[n] * std::conj(Ȓₜ₊₁[n]))) / (μ + 1i * fft.ν(n));
         }
 
         std::vector<Real> Rₜ₊₁ = fft.inverse(Ȓₜ₊₁);
-- 
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