diff options
Diffstat (limited to 'get_energy.cpp')
-rw-r--r-- | get_energy.cpp | 101 |
1 files changed, 15 insertions, 86 deletions
diff --git a/get_energy.cpp b/get_energy.cpp index 6164a6d..a388e0c 100644 --- a/get_energy.cpp +++ b/get_energy.cpp @@ -1,80 +1,8 @@ +#include "fourier.hpp" #include <getopt.h> -#include <vector> -#include <cmath> #include <iostream> -#include <fftw3.h> -#include <complex> #include <fstream> -using Real = double; -using Complex = std::complex<Real>; -using namespace std::complex_literals; - -inline Real fP(unsigned p, Real q) { - return 0.5 * pow(q, p); -} - -inline Real dfP(unsigned p, Real q) { - return 0.5 * p * pow(q, p - 1); -} - -inline Real ddfP(unsigned p, Real q) { - return 0.5 * p * (p - 1) * pow(q, p - 2); -} - -inline Real f(Real λ, unsigned p, unsigned s, Real q) { - return (1 - λ) * fP(p, q) + λ * fP(s, q); -} - -inline Real df(Real λ, unsigned p, unsigned s, Real q) { - return (1 - λ) * dfP(p, q) + λ * dfP(s, q); -} - -inline Real ddf(Real λ, unsigned p, unsigned s, Real q) { - return (1 - λ) * ddfP(p, q) + λ * ddfP(s, q); -} - -class FourierTransform { -private: - std::vector<Real> a; - std::vector<Complex> â; - fftw_plan plan_r2c; - fftw_plan plan_c2r; - Real Δω; - Real Δτ; -public: - FourierTransform(unsigned n, Real Δω, Real Δτ, unsigned flags = 0) : a(2 * n), â(n + 1), Δω(Δω), Δτ(Δτ) { - plan_r2c = fftw_plan_dft_r2c_1d(2 * n, a.data(), reinterpret_cast<fftw_complex*>(â.data()), flags); - plan_c2r = fftw_plan_dft_c2r_1d(2 * n, reinterpret_cast<fftw_complex*>(â.data()), a.data(), flags); - } - - ~FourierTransform() { - fftw_destroy_plan(plan_r2c); - fftw_destroy_plan(plan_c2r); - fftw_cleanup(); - } - - std::vector<Complex> fourier(const std::vector<Real>& c) { - a = c; - fftw_execute(plan_r2c); - std::vector<Complex> ĉ(â.size()); - for (unsigned i = 0; i < â.size(); i++) { - ĉ[i] = â[i] * (Δτ * M_PI); - } - return ĉ; - } - - std::vector<Real> inverse(const std::vector<Complex>& ĉ) { - â = ĉ; - fftw_execute(plan_c2r); - std::vector<Real> c(a.size()); - for (unsigned i = 0; i < a.size(); i++) { - c[i] = a[i] * (Δω / (2 * M_PI)); - } - return c; - } -}; - int main(int argc, char* argv[]) { unsigned p = 2; unsigned s = 2; @@ -133,24 +61,25 @@ int main(int argc, char* argv[]) { std::vector<Real> C(2 * n); std::vector<Real> R(2 * n); - std::string file_end = std::to_string(p) + "_" + std::to_string(s) + "_" + std::to_string(λ) + "_" + std::to_string(τ₀) + "_" + std::to_string(y) + "_" + std::to_string(log2n) + "_" + std::to_string(τₘₐₓ) + ".dat"; - std::ifstream cfile("C_"+file_end, std::ios::binary); + std::ifstream cfile(fourierFile("C", p, s, λ, τ₀, y, log2n, τₘₐₓ), std::ios::binary); if (cfile.is_open()) { - cfile.read((char*)(C.data()), C.size() * sizeof(Real)); - cfile.close(); - std::ifstream rfile("R_"+file_end, std::ios::binary); - rfile.read((char*)(R.data()), R.size() * sizeof(Real)); - rfile.close(); + cfile.read((char*)(C.data()), C.size() * sizeof(Real)); + cfile.close(); - Real energy = 0; + std::ifstream rfile(fourierFile("R", p, s, λ, τ₀, y, log2n, τₘₐₓ), std::ios::binary); + rfile.read((char*)(R.data()), R.size() * sizeof(Real)); + rfile.close(); - for (unsigned i = 0; i < n; i++) { - energy += y * R[i] * df(λ, p, s, C[i]) * M_PI * Δτ; - } + Real e = energy(C, R, p, s, λ, y, Δτ); + + std::vector<Complex> Ct = fft.fourier(C); + std::vector<Complex> Rt = fft.fourier(R); + + auto [RddfCt, dfCt] = RddfCtdfCt(fft, C, R, p, s, λ); - std::vector<Complex> Ct = fft.fourier(C); + Real z = ((std::conj(Rt[0]) + pow(y, 2) * (RddfCt[0] * Ct[0] + dfCt[0] * std::conj(Rt[0]))) / Ct[0]).real(); - std::cout << y << " " << energy << " " << Ct[0].real() << std::endl; + std::cout << y << " " << e << " " << Ct[0].real() << " " << z << std::endl; } } |