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-rw-r--r--.gitignore1
-rw-r--r--Makefile5
-rw-r--r--log-fourier.cpp89
-rw-r--r--log-fourier.hpp11
-rw-r--r--log-fourier_integrator.cpp61
-rw-r--r--log_get_energy.cpp82
6 files changed, 190 insertions, 59 deletions
diff --git a/.gitignore b/.gitignore
index f6c3bea..fe5f9c3 100644
--- a/.gitignore
+++ b/.gitignore
@@ -8,3 +8,4 @@ walk
get_energy
integrator
fftw.wisdom
+log_get_energy
diff --git a/Makefile b/Makefile
index a1d0907..6cf8a52 100644
--- a/Makefile
+++ b/Makefile
@@ -1,4 +1,4 @@
-all: walk correlations integrator fourier_integrator get_energy log-fourier_integrator
+all: walk correlations integrator fourier_integrator get_energy log-fourier_integrator log_get_energy
CC := clang++ -std=c++17 -flto -Wno-mathematical-notation-identifier-extension -O3 -march=native -mtune=native -fopenmp -DFFTW_THREADS=1
@@ -28,3 +28,6 @@ log-fourier_integrator: log-fourier_integrator.cpp log-fourier.hpp log-fourier.o
get_energy: get_energy.cpp fourier.hpp fourier.o p-spin.o
$(CC) get_energy.cpp fourier.o p-spin.o -lfftw3 -lgsl -o get_energy
+
+log_get_energy: log_get_energy.cpp log-fourier.hpp log-fourier.o p-spin.o
+ $(CC) log_get_energy.cpp log-fourier.o p-spin.o -lfftw3 -lgsl -o log_get_energy
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;
+}
+
diff --git a/log-fourier.hpp b/log-fourier.hpp
index f57c6bc..b11db0f 100644
--- a/log-fourier.hpp
+++ b/log-fourier.hpp
@@ -31,3 +31,14 @@ public:
std::vector<Real> inverse(const std::vector<Complex>& ĉ);
};
+std::string logFourierFile(std::string prefix, unsigned p, unsigned s, Real λ, Real τ₀, Real β, unsigned log2n, Real Δτ, Real k);
+
+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);
+
+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::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);
+
+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);
+
+Real energy(const LogarithmicFourierTransform& fft, std::vector<Real>& C, const std::vector<Real>& R, unsigned p, unsigned s, Real λ, Real β);
diff --git a/log-fourier_integrator.cpp b/log-fourier_integrator.cpp
index a032401..cf9819a 100644
--- a/log-fourier_integrator.cpp
+++ b/log-fourier_integrator.cpp
@@ -1,32 +1,6 @@
#include "log-fourier.hpp"
-#include "p-spin.hpp"
#include <getopt.h>
#include <iostream>
-#include <fstream>
-
-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";
-}
-
-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 / 2;
-
- return ((2 * Γ₀ * std::conj(Rt[0]) + pow(β, 2) * (RddfCt[0] * Ct[0] + dfCt[0] * std::conj(Rt[0]))) / Ct[0]).real();
-}
int main(int argc, char* argv[]) {
/* Model parameters */
@@ -119,16 +93,7 @@ int main(int argc, char* argv[]) {
Ȓₜ₋₁[n] = 1.0 / (μₜ₋₁ + 1i * fft.ν(n));
}
} else {
- std::ifstream cfile(logFourierFile("C", p, s, λ, τ₀, β₀, log2n, Δτ, k), std::ios::binary);
- cfile.read((char*)(Cₜ₋₁.data()), N * sizeof(Real));
- cfile.close();
- std::ifstream rfile(logFourierFile("R", p, s, λ, τ₀, β₀, log2n, Δτ, k), std::ios::binary);
- rfile.read((char*)(Rₜ₋₁.data()), N * sizeof(Real));
- rfile.close();
-
- Ĉₜ₋₁ = fft.fourier(Cₜ₋₁, true);
- Ȓₜ₋₁ = fft.fourier(Rₜ₋₁, false);
-
+ logFourierLoad(Cₜ₋₁, Rₜ₋₁, Ĉₜ₋₁, Ȓₜ₋₁, p, s, λ, τ₀, β₀, log2n, Δτ, k);
μₜ₋₁ = estimateZ(fft, Cₜ₋₁, Ĉₜ₋₁, Rₜ₋₁, Ȓₜ₋₁, p, s, λ, τ₀, β₀);
}
@@ -181,32 +146,12 @@ int main(int argc, char* argv[]) {
μₜ = μₜ₋₁;
γ /= 2;
} else {
- /* Integrate the energy using Simpson's rule */
- Real E = 0;
- for (unsigned n = 0; n < N/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 = Rₜ[2*n] * df(λ, p, s, Cₜ[2*n]);
- Real f₂ₙ₊₁ = Rₜ[2*n+1] * df(λ, p, s, Cₜ[2*n+1]);
- Real f₂ₙ₊₂ = Rₜ[2*n+2] * df(λ, p, s, Cₜ[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
- );
- }
- E *= β;
+ Real E = energy(fft, Cₜ, Rₜ, p, s, λ, β);
std::cerr << "\x1b[2K" << "\r";
std::cerr << β << " " << μₜ << " " << Ĉₜ[0].real() << " " << E << " " << γ << std::endl;
- std::ofstream outfile(logFourierFile("C", p, s, λ, τ₀, β, log2n, Δτ, k), std::ios::out | std::ios::binary);
- outfile.write((const char*)(Cₜ.data()), N * sizeof(Real));
- outfile.close();
-
- std::ofstream outfileR(logFourierFile("R", p, s, λ, τ₀, β, log2n, Δτ, k), std::ios::out | std::ios::binary);
- outfileR.write((const char*)(Rₜ.data()), N * sizeof(Real));
- outfileR.close();
+ logFourierSave(Cₜ, Rₜ, Ĉₜ, Ȓₜ, p, s, λ, τ₀, β, log2n, Δτ, k);
β += Δβ;
Cₜ₋₁ = Cₜ;
diff --git a/log_get_energy.cpp b/log_get_energy.cpp
new file mode 100644
index 0000000..7a531fd
--- /dev/null
+++ b/log_get_energy.cpp
@@ -0,0 +1,82 @@
+#include "log-fourier.hpp"
+#include <getopt.h>
+#include <iostream>
+#include <fstream>
+
+int main(int argc, char* argv[]) {
+ /* Model parameters */
+ unsigned p = 2;
+ unsigned s = 2;
+ Real λ = 0.5;
+ Real τ₀ = 0;
+
+ /* Log-Fourier parameters */
+ unsigned log2n = 8;
+ Real Δτ = 0.1;
+ Real k = 0.1;
+
+ /* Iteration parameters */
+ Real β₀ = 0;
+ Real βₘₐₓ = 0.7;
+ Real Δβ = 0.01;
+
+ int opt;
+
+ while ((opt = getopt(argc, argv, "p:s:2:T:t:b:d:k:D:0:")) != -1) {
+ switch (opt) {
+ case 'p':
+ p = atoi(optarg);
+ break;
+ case 's':
+ s = atoi(optarg);
+ break;
+ case '2':
+ log2n = atoi(optarg);
+ break;
+ case 't':
+ τ₀ = atof(optarg);
+ break;
+ case 'b':
+ βₘₐₓ = atof(optarg);
+ break;
+ case 'd':
+ Δβ = atof(optarg);
+ break;
+ case 'k':
+ k = atof(optarg);
+ break;
+ case 'D':
+ Δτ = atof(optarg);
+ break;
+ case '0':
+ β₀ = atof(optarg);
+ break;
+ default:
+ exit(1);
+ }
+ }
+
+ unsigned N = pow(2, log2n);
+
+ LogarithmicFourierTransform fft(N, k, Δτ, 4);
+
+ std::vector<Real> C(N);
+ std::vector<Real> R(N);
+ std::vector<Complex> Ct(N);
+ std::vector<Complex> Rt(N);
+
+ Real β = β₀;
+
+ while (β += Δβ, β <= βₘₐₓ) {
+ if (logFourierLoad(C, R, Ct, Rt, p, s, λ, τ₀, β, log2n, Δτ, k)) {
+
+ Real e = energy(fft, C, R, p, s, λ, β);
+
+ Real μ = estimateZ(fft, C, Ct, R, Rt, p, s, λ, τ₀, β);
+
+ std::cout << β << " " << μ << " " << Ct[0].real() << " " << e << std::endl;
+ }
+ }
+
+ return 0;
+}