diff options
Diffstat (limited to 'log-fourier.cpp')
| -rw-r--r-- | log-fourier.cpp | 89 |
1 files changed, 89 insertions, 0 deletions
diff --git a/log-fourier.cpp b/log-fourier.cpp index 7461a70..f7d6f4b 100644 --- a/log-fourier.cpp +++ b/log-fourier.cpp @@ -1,5 +1,7 @@ #include "log-fourier.hpp" +#include "p-spin.hpp" #include <complex> +#include <fstream> LogarithmicFourierTransform::LogarithmicFourierTransform(unsigned N, Real k, Real Δτ, unsigned pad) : N(N), pad(pad), k(k), Δτ(Δτ) { τₛ = -0.5 * N; @@ -106,3 +108,90 @@ std::vector<Real> LogarithmicFourierTransform::inverse(const std::vector<Complex return c; } +std::string logFourierFile(std::string prefix, unsigned p, unsigned s, Real λ, Real τ₀, Real β, unsigned log2n, Real Δτ, Real k) { + return prefix + "_" + std::to_string(p) + "_" + std::to_string(s) + "_" + std::to_string(λ) + "_" + std::to_string(τ₀) + "_" + std::to_string(β) + "_" + std::to_string(log2n) + "_" + std::to_string(Δτ) + "_" + std::to_string(k) + ".dat"; +} + +void logFourierSave(const std::vector<Real>& C, const std::vector<Real>& R, const std::vector<Complex>& Ct, const std::vector<Complex>& Rt, unsigned p, unsigned s, Real λ, Real τ₀, Real β, unsigned log2n, Real Δτ, Real k) { + unsigned N = pow(2, log2n); + std::ofstream outfile(logFourierFile("C", p, s, λ, τ₀, β, log2n, Δτ, k), std::ios::out | std::ios::binary); + outfile.write((const char*)(C.data()), N * sizeof(Real)); + outfile.close(); + + std::ofstream outfileCt(logFourierFile("Ct", p, s, λ, τ₀, β, log2n, Δτ, k), std::ios::out | std::ios::binary); + outfileCt.write((const char*)(Ct.data()), N * sizeof(Complex)); + outfileCt.close(); + + std::ofstream outfileR(logFourierFile("R", p, s, λ, τ₀, β, log2n, Δτ, k), std::ios::out | std::ios::binary); + outfileR.write((const char*)(R.data()), N * sizeof(Real)); + outfileR.close(); + + std::ofstream outfileRt(logFourierFile("Rt", p, s, λ, τ₀, β, log2n, Δτ, k), std::ios::out | std::ios::binary); + outfileRt.write((const char*)(Rt.data()), N * sizeof(Complex)); + outfileRt.close(); +} + +bool logFourierLoad(std::vector<Real>& C, std::vector<Real>& R, std::vector<Complex>& Ct, std::vector<Complex>& Rt, unsigned p, unsigned s, Real λ, Real τ₀, Real β, unsigned log2n, Real Δτ, Real k) { + std::ifstream cfile(logFourierFile("C", p, s, λ, τ₀, β, log2n, Δτ, k), std::ios::binary); + std::ifstream rfile(logFourierFile("R", p, s, λ, τ₀, β, log2n, Δτ, k), std::ios::binary); + std::ifstream ctfile(logFourierFile("Ct", p, s, λ, τ₀, β, log2n, Δτ, k), std::ios::binary); + std::ifstream rtfile(logFourierFile("Rt", p, s, λ, τ₀, β, log2n, Δτ, k), std::ios::binary); + + if ((!cfile.is_open() || !rfile.is_open()) || (!ctfile.is_open() || !rtfile.is_open())) { + return false; + } + + unsigned N = pow(2, log2n); + + cfile.read((char*)(C.data()), N * sizeof(Real)); + cfile.close(); + + rfile.read((char*)(R.data()), N * sizeof(Real)); + rfile.close(); + + ctfile.read((char*)(Ct.data()), N * sizeof(Complex)); + ctfile.close(); + + rtfile.read((char*)(Rt.data()), N * sizeof(Complex)); + rtfile.close(); + + return true; +} + +std::tuple<std::vector<Complex>, std::vector<Complex>> RddfCtdfCt(LogarithmicFourierTransform& fft, const std::vector<Real>& C, const std::vector<Real>& R, unsigned p, unsigned s, Real λ) { + std::vector<Real> dfC(C.size()); + std::vector<Real> RddfC(C.size()); + for (unsigned n = 0; n < C.size(); n++) { + RddfC[n] = R[n] * ddf(λ, p, s, C[n]); + dfC[n] = df(λ, p, s, C[n]); + } + std::vector<Complex> RddfCt = fft.fourier(RddfC, false); + std::vector<Complex> dfCt = fft.fourier(dfC, true); + + return {RddfCt, dfCt}; +} + +Real estimateZ(LogarithmicFourierTransform& fft, const std::vector<Real>& C, const std::vector<Complex>& Ct, const std::vector<Real>& R, const std::vector<Complex>& Rt, unsigned p, unsigned s, Real λ, Real τ₀, Real β) { + auto [RddfCt, dfCt] = RddfCtdfCt(fft, C, R, p, s, λ); + Real Γ₀ = 1 + τ₀; + + return ((2 * Γ₀ * std::conj(Rt[0]) + pow(β, 2) * (RddfCt[0] * Ct[0] + dfCt[0] * std::conj(Rt[0]))) / Ct[0]).real(); +} + +Real energy(const LogarithmicFourierTransform& fft, std::vector<Real>& C, const std::vector<Real>& R, unsigned p, unsigned s, Real λ, Real β) { + Real E = 0; + for (unsigned n = 0; n < C.size()/2-1; n++) { + Real h₂ₙ = fft.t(2*n+1) - fft.t(2*n); + Real h₂ₙ₊₁ = fft.t(2*n+2) - fft.t(2*n+1); + Real f₂ₙ = R[2*n] * df(λ, p, s, C[2*n]); + Real f₂ₙ₊₁ = R[2*n+1] * df(λ, p, s, C[2*n+1]); + Real f₂ₙ₊₂ = R[2*n+2] * df(λ, p, s, C[2*n+2]); + E += (h₂ₙ + h₂ₙ₊₁) / 6 * ( + (2 - h₂ₙ₊₁ / h₂ₙ) * f₂ₙ + + pow(h₂ₙ + h₂ₙ₊₁, 2) / (h₂ₙ * h₂ₙ₊₁) * f₂ₙ₊₁ + + (2 - h₂ₙ / h₂ₙ₊₁) * f₂ₙ₊₂ + ); + } + return β * E; +} + |