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#include "RungeKutta.h"
#include "IoSimple.h"
#include "Matrix.h"
#include "Vector.h"
#include <complex>
#include <fstream>
#include <iostream>
// authored by K.A.A
template <typename RealType, typename VectorType, typename MatrixType>
class GammaCiCj
{
typedef typename MatrixType::value_type ComplexOrRealType;
public:
GammaCiCj(MatrixType& T, VectorType& V, VectorType& W, const RealType& omega)
: T_(T)
, V_(V)
, W_(W)
, mV_(V.size(), V.size())
, mW_(W.size(), W.size())
, omega_(omega)
{
assert(V_.size() == W_.size());
for (SizeType i = 0; i < mV_.n_row(); i++) {
for (SizeType j = 0; j < mV_.n_col(); j++) {
mV_(i, j) = V_[j] - V_[i];
mW_(i, j) = W_[j] - W_[i];
}
}
}
MatrixType operator()(const RealType& t, const MatrixType& y) const
{
ComplexOrRealType c(0., -1.);
MatrixType tmp = (-1.0) * (T_ * y);
// MatrixType yTranspose;
// transposeConjugate(yTranspose,y);
tmp += y * T_;
for (SizeType i = 0; i < tmp.n_row(); i++)
for (SizeType j = 0; j < tmp.n_col(); j++)
tmp(i, j) += mV_(i, j) * y(i, j) + mW_(i, j) * cos(omega_ * t) * y(i, j);
return c * tmp;
}
private:
const MatrixType& T_;
const VectorType& V_;
const VectorType& W_;
MatrixType mV_;
MatrixType mW_;
RealType omega_;
}; // class GammaCiCj
#ifndef USE_FLOAT
typedef double RealType;
#else
typedef float RealType
#endif
typedef std::complex<RealType> ComplexOrRealType;
// typedef RealType ComplexOrRealType;
typedef PsimagLite::Vector<ComplexOrRealType>::Type VectorType;
typedef PsimagLite::Matrix<ComplexOrRealType> MatrixType;
typedef GammaCiCj<RealType, VectorType, MatrixType> GammaCiCjType;
typedef PsimagLite::IoSimple::In IoInType;
void usage(const char* progName)
{
std::cerr << "Usage: " << progName << " -f file -i file2";
std::cerr << " -b t1 -e te -s ts \n";
}
int main(int argc, char* argv[])
{
int opt;
PsimagLite::String file = "";
RealType wbegin = 0.;
RealType wend = 10.;
RealType wstep = 0.01;
PsimagLite::String file2 = "";
while ((opt = getopt(argc, argv, "f:i:b:e:s:")) != -1) {
switch (opt) {
case 'f':
file = optarg;
break;
case 'b':
wbegin = atof(optarg);
break;
case 'e':
wend = atof(optarg);
break;
case 's':
wstep = atof(optarg);
break;
case 'i':
file2 = optarg;
break;
default:
usage(argv[0]);
return 1;
}
}
// sanity checks:
if (file == "" || file2 == "" || wend <= wbegin || wstep < 0) {
usage(argv[0]);
return 1;
}
IoInType io(file);
SizeType N;
io.readline(N, "TotalNumberOfSites=");
RealType hopping = 1.0;
MatrixType T(N, N);
for (SizeType i = 0; i < N - 1; i++)
T(i, i + 1) = T(i + 1, i) = hopping;
VectorType V;
io.read(V, "potentialV");
if (V.size() > N)
V.resize(N);
VectorType W;
io.read(W, "PotentialT");
assert(W.size() == N);
RealType omega;
io.readline(omega, "omega=");
GammaCiCjType f(T, V, W, omega);
PsimagLite::RungeKutta<RealType, GammaCiCjType, MatrixType> rk(f, wstep);
MatrixType y0;
IoInType io2(file2);
io2.read(y0, "MatrixCiCj");
for (SizeType i = 0; i < y0.n_row(); i++) {
for (SizeType j = 0; j < y0.n_col(); j++) {
// if (i==j) y0(i,j) = 1.-y0(i,j);
// if (i!=j) y0(i,j) = -y0(i,j);
}
}
PsimagLite::Vector<VectorType>::Type result;
rk.solveEx(result, wbegin, wend, y0);
for (SizeType i = 0; i < result.size(); i++) {
RealType time = wbegin + wstep * i;
std::cout << time << " ";
for (SizeType j = 0; j < result[i].size(); j++)
std::cout << PsimagLite::real(result[i][j]) << " ";
std::cout << "\n";
}
}
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