+#ifndef SIM_HPP
+#define SIM_HPP
+
+#include <gsl/gsl_rng.h>
+#include <complex>
+#include <math.h>
+
+#include "latlib/neigh.h"
+
+#define EPSILONU 1
+#define EPSILONPHI 0.5
+
+class sim : public o815::sim {
+public:
+ sim(o815 *_O815);
+ unsigned int lsize4;
+ neigh *nb;
+ complex<double> *U, *phi;
+ double kappa[2], lambda[2], beta;
+
+private:
+ void _makeSweep();
+ void _newParas();
+ gsl_rng* rangsl;
+ double rhoPhi(const int& iphi, const int& x0, const complex<double>& candPhi);
+ double rhoU(const int& x0, const int& nu0, const complex<double>& candU);
+ int updatePhi(const int& iphi, const int& x0);
+ int updateU(const int& x0, const int& nu0);
+};
+
+sim::sim(o815 *_O815) : o815::sim( _O815,
+ sizeof(complex<double>)*
+ _O815->comargs.lsize[0]*_O815->comargs.lsize[0]*_O815->comargs.lsize[0]*_O815->comargs.lsize[1]*(2+4) ) {
+
+ lsize4 = _O815->comargs.lsize[0]*_O815->comargs.lsize[0]*_O815->comargs.lsize[0]*_O815->comargs.lsize[1];
+
+ nb = new neigh(4, _O815->comargs.lsize[0], _O815->comargs.lsize[0], _O815->comargs.lsize[0], _O815->comargs.lsize[1]);
+
+ phi = (complex<double>*)confMem;
+ U = (complex<double>*)(confMem + sizeof(complex<double>)*lsize4*2);
+
+ rangsl = gsl_rng_alloc(gsl_rng_ranlxs0);
+ gsl_rng_set(rangsl, time(NULL));
+}
+
+void sim::_makeSweep() {
+ for( int ix=0; ix<lsize4; ix++ ) {
+ for( int inu=0; inu<4; inu++) updateU(ix, inu);
+ for( int iphi=0; iphi<2; iphi++) updatePhi(iphi, ix);
+ }
+}
+
+void sim::_newParas() {
+ kappa[0] = (*O815->paraQ)["kappaone"];
+ kappa[1] = (*O815->paraQ)["kappatwo"];
+ lambda[0] = (*O815->paraQ)["lambdaone"];
+ lambda[1] = (*O815->paraQ)["lambdatwo"];
+ beta = (*O815->paraQ)["beta"];
+
+ for(int ix=0; ix<lsize4; ix++) {
+ for(int i=0; i<2; i++) phi[ i*lsize4 + ix ] = 0;
+ for(int nu=0; nu<4; nu++) U[ ix*4 + nu ] = 1;
+ }
+}
+
+int sim::updateU(const int& x0, const int& nu0)
+{
+ complex<double> candU = U[x0*4+nu0] * polar(1.0, 2*EPSILONU*( 0.5 - gsl_rng_uniform(rangsl) ));
+
+ if ( gsl_rng_uniform(rangsl) <= rhoU(x0, nu0, candU) ) {
+ U[x0*4 + nu0] = candU;
+ return 1;
+ }
+
+ return 0;
+}
+
+int sim::updatePhi(const int& iphi, const int& x0)
+{
+ complex<double> candPhi = phi[ iphi*lsize4 + x0 ] +
+ complex<double>(2*EPSILONPHI*( 0.5 - gsl_rng_uniform(rangsl) ),
+ 2*EPSILONPHI*( 0.5 - gsl_rng_uniform(rangsl) ));
+
+ if ( gsl_rng_uniform(rangsl) <= rhoPhi(iphi, x0, candPhi) ) {
+ phi[ iphi*lsize4 + x0 ] = candPhi;
+ return 1;
+ }
+
+ return 0;
+}
+
+double sim::rhoPhi(const int& iphi, const int& x0, const complex<double>& candPhi)
+{
+ double deltaS=0;
+
+ for( int mu=0; mu<4; mu++) {
+ if( iphi == 0 ) {
+ deltaS += 2 * real( conj(phi[ iphi*lsize4 + x0 ]) * U[ x0*4 + mu ] * phi[ iphi*lsize4 + (*nb)[x0*8+mu] ] );
+ deltaS += 2 * real( conj(phi[ iphi*lsize4 + x0 ]) * conj(U[ (*nb)[x0*8+mu+4]*4 + mu ]) * phi[ iphi*lsize4 + (*nb)[x0*8+mu+4] ] );
+ deltaS -= 2 * real( conj(candPhi) * U[ x0*4 + mu ] * phi[ iphi*lsize4 + (*nb)[x0*8+mu] ] );
+ deltaS -= 2 * real( conj(candPhi) * conj(U[ (*nb)[x0*8+mu+4]*4 + mu ]) * phi[ iphi*lsize4 + (*nb)[x0*8+mu+4] ] );
+ }
+ else if( iphi == 1 ) {
+ deltaS += 2 * real( conj(phi[ iphi*lsize4 + x0 ]) * conj(U[ x0*4 + mu ]) * phi[ iphi*lsize4 + (*nb)[x0*8+mu] ] );
+ deltaS += 2 * real( conj(phi[ iphi*lsize4 + x0 ]) * U[ (*nb)[x0*8+mu+4]*4 + mu ] * phi[ iphi*lsize4 + (*nb)[x0*8+mu+4] ] );
+ deltaS -= 2 * real( conj(candPhi) * conj(U[ x0*4 + mu ]) * phi[ iphi*lsize4 + (*nb)[x0*8+mu] ] );
+ deltaS -= 2 * real( conj(candPhi) * U[ (*nb)[x0*8+mu+4]*4 + mu ] * phi[ iphi*lsize4 + (*nb)[x0*8+mu+4] ] );
+ }
+ }
+
+ deltaS -= kappa[iphi] * norm(phi[ iphi*lsize4 + x0 ]);
+ deltaS += kappa[iphi] * norm(candPhi);
+
+ deltaS -= lambda[iphi] * pow(norm(phi[ iphi*lsize4 + x0 ]),2);
+ deltaS += lambda[iphi] * pow(norm(candPhi),2);
+
+ return exp(-deltaS);
+}
+
+double sim::rhoU(const int& x0, const int& nu0, const complex<double>& candU)
+{
+ double deltaS=0;
+
+ for( int nu=0; nu<4; nu++ ) {
+ if( nu == nu0 ) continue;
+ deltaS += beta * real( U[x0*4+nu0] * U[ (*nb)[x0*8+nu0]*4 + nu ] * conj(U[ (*nb)[x0*8+nu]*4 + nu0 ]) * conj(U[ x0*4 + nu ]) );
+ deltaS += beta * real( U[ (*nb)[x0*8+nu+4]*4 + nu0 ] * U[ (*nb)[ (*nb)[x0*8+nu+4]*8+nu0 ]*4 + nu ] * conj(U[ x0*4 + nu0 ]) * conj(U[ (*nb)[x0*8+nu+4]*4 + nu ]) );
+ deltaS -= beta * real( candU * U[ (*nb)[x0*8+nu0]*4 + nu ] * conj(U[ (*nb)[x0*8+nu]*4 + nu0 ]) * conj(U[ x0*4 + nu ]) );
+ deltaS -= beta * real( U[ (*nb)[x0*8+nu+4]*4 + nu0 ] * U[ (*nb)[ (*nb)[x0*8+nu+4]*8+nu0 ]*4 + nu ] * conj(candU) * conj(U[ (*nb)[x0*8+nu+4]*4 + nu ]) );
+ }
+
+ deltaS += 2 * real( conj(phi[ 0*lsize4 + x0 ]) * U[ x0*4 + nu0 ] * phi[ 0*lsize4 + (*nb)[x0*8+nu0] ] );
+ deltaS -= 2 * real( conj(phi[ 0*lsize4 + x0 ]) * candU * phi[ 0*lsize4 + (*nb)[x0*8+nu0] ] );
+
+ deltaS += 2 * real( conj(phi[ 1*lsize4 + x0 ]) * conj(U[ x0*4 + nu0 ]) * phi[ 1*lsize4 + (*nb)[x0*8+nu0] ] );
+ deltaS -= 2 * real( conj(phi[ 1*lsize4 + x0 ]) * conj(candU) * phi[ 1*lsize4 + (*nb)[x0*8+nu0] ] );
+
+ return exp(-deltaS);
+}
+
+#endif