/
ising_disordinato.cpp
364 lines (304 loc) · 11.5 KB
/
ising_disordinato.cpp
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/*
* Author: Dawid Crivelli
*
* Calcolo della distanza media tra sequenze di Ising-1D campionate a temperatura data
*/
#include <cstdlib>
#include <cstdio>
#include <cmath>
#include <cstring>
#include <omp.h>
#include <ctime>
#include <vector>
#include "strutture.h"
#include "rand_mersenne.h"
#include "distance.h"
#include "adj_handler.h"
extern options opts;
double *mylog;
double *myexp;
adj_struct topologia;
void print_array(const int *array, int len, const char *nome) {
printf("%s {%d", nome, array[0]);
for (int i = 1; i < len; i++)
printf(",%d", array[i]);
printf("}\n\n");
}
int *nnl = 0, *nnu = 0, *nnd = 0, *nnr = 0;
inline int up(int i, int lato, int N) {
return (i - (i % lato)+ ((i + lato - 1) % lato));
}
inline int down(int i, int lato, int N) {
return ((i / lato) * lato + ((i + lato + 1) % lato));
}
inline int left(int i, int lato, int N) {
return (i + N - lato) % N;
}
inline int right(int i, int lato, int N) {
return (i + N + lato) % N;
}
void ising_lattice(options opts, RandMT &generatore, general_partition *partitions) {
int N = opts.seq_len;
int lato = opts.lato;
int runs = opts.n_seq;
int iteration = 0;
double beta = opts.beta[0];
int dH;
double prob;
int flips = 2;
vector<int> chain(N);
//inizializzazione array primi vicini
if (nnl == 0)
#pragma omp critical
{
nnl = new int[N];
nnr = new int[N];
nnu = new int[N];
nnd = new int[N];
for (int i = 0; i < opts.seq_len; i++) {
nnl[i] = left(i,lato,N);
nnr[i] = right(i,lato,N);
nnu[i] = up(i,lato,N);
nnd[i] = down(i,lato,N);
}
}
vector<int> J(2 * N);
if (opts.ordered) {
//ordered, J = 1 case, with phase transition
if (beta < 0.4)
prob = 0.5;
else {
//genero in base al fit quadratico della probabilita da un esperimento
prob = log(beta);
prob = 2.14 - 5.63 * prob - 7.71 * prob*prob;
prob = exp(prob);
}
for (int i = 0; i < N; i++)
chain[i] = 2 * (generatore.get_double() > prob) - 1;
J.assign(N,1);
} else {
//disordered case, with glass-spin transition at T=0, always kinda hot-temperature
//Random J_ij equally distributed at -1 and 1
for (int i = 0; i < 2 * N; i++)
J[i] = 2 * (generatore.get_int() % 2) - 1;
for (int i = 0; i < N; i++)
chain[i] = 2 * (generatore.get_int() % 2) - 1;
}
if ((beta < 0.36 || beta > 0.47) && opts.ordered)
flips = 15;
else
flips = 30;
for (iteration = -2; iteration < runs; iteration++) {
for (int k = 0; k < flips; k++) {
for (int s = 0; s < N; s += 2) {
dH = 0;
//the link DOWN for site s, is J[s]
dH += J[s] * chain[nnd[s]];
//the link RIGHT for site s, is J[s+N]
dH += J[s + N] * chain[nnr[s]];
//the link UP, is the link down of site nnu[s], that is J[nnu[s]]
dH += J[nnu[s]] * chain[nnu[s]];
//the link LEFT, is the link right of site nnl[s], i.e. J[nnl[s]+N]
dH += J[nnl[s] + N] * chain[nnl[s]];
dH *= 2 * chain[s];
if (dH <= 0 || generatore.get_double() < myexp[dH]) // exp(-beta * dH)
chain[s] = -chain[s];
}
for (int s = 1; s < N; s += 2) {
dH = 0;
//the link DOWN for site s, is J[s]
dH += J[s] * chain[nnd[s]];
//the link RIGHT for site s, is J[s+N]
dH += J[s + N] * chain[nnr[s]];
//the link UP, is the link down of site nnu[s], that is J[nnu[s]]
dH += J[nnu[s]] * chain[nnu[s]];
//the link LEFT, is the link right of site nnl[s], i.e. J[nnl[s]+N]
dH += J[nnl[s] + N] * chain[nnl[s]];
dH *= 2 * chain[s];
if (dH <= 0 || generatore.get_double() < myexp[dH]) // exp(-beta * dH)
chain[s] = -chain[s];
}
}
if (iteration < 0)
continue;
partitions[iteration].from_configuration(chain.data(), topologia);
}
}
void ising_entries_jnorm(options opts, int *buffer_sequenze, RandMT &generatore) {
int L = opts.seq_len;
int runs = opts.n_seq;
double beta = opts.beta[0];
vector<int> flipchain(L);
vector<int> chain(L);
vector<int> J(L);
vector<double> prob(L);
for (int i = 0; i < L; i++) {
double r;
//probabilita di trovare un flip, ovvero -1
//J gaussiano (positivo)
//r = generatore.semi_norm();
//J uniforme [0,1] (positivo)
//r = generatore.rand();
//J uniforme [0,0.5] (positivo)
r = generatore.get_double()/2;
//J cost
//r=1;
prob[i] = exp(-2 * beta * r);
prob[i] /= (1 + prob[i]);
// J +- 1
//J[i] = 2 * (generatore() > .5) - 1;
// J positivi
J[i] = 1;
}
for (int i = 0; i < runs; i++) {
chain[0] = 2 * (generatore.get_double() > .5) - 1;
for (int k = 0; k < L; k++)
flipchain[k] = (prob[k] > generatore.get_double()) ? -1 : 1;
for (int k = 1; k < L; k++)
chain[k] = flipchain[k] * chain[k - 1] * J[k];
for (int k = 0; k < L; k++) {
buffer_sequenze[i * L + k] = chain[k];
}
}
}
int main(int argc, char** argv) {
set_program_options(opts, argc, argv);
///Carica l'opportuna struttura di adiacenza, selezionata da linea di comando
if (opts.topologia == TORO_2D)
topologia = adiacenza_toroidal_lattice(opts.lato);
else if (opts.topologia == LINEARE){
opts.partition_type = LINEAR_PARTITION;
topologia = adiacenza_simple_line(opts.seq_len);
}
else {
printf("Not supported topology\n");
exit(1);
}
opts.seq_len = topologia.N;
//logarithm lookup table, 6x program speedup
mylog = new double[3 * opts.seq_len + 10];
for (int i = 1; i < 3 * opts.seq_len + 10; i++)
mylog[i] = log(i);
mylog[0] = 0;
myexp = new double[100];
for (int i = 0; i < 100; i++)
myexp[i] = exp(- opts.beta[0] * i);
double media_globale = 0;
double media_globale_n2 = 0;
double media_rid_globale = 0;
double media_rid_globale_n2 = 0;
int n_estrazioni = 100;
int runs = 0;
// <editor-fold defaultstate="collapsed" desc="Sequenze monodimensionali">
if (opts.topologia == LINEARE)
#pragma omp parallel
{
linear_partition *partitions = new linear_partition[opts.n_seq];
int *buf_sequenze = new int[opts.n_seq * opts.seq_len];
distance d(opts.seq_len);
RandMT generatore;
for (int L = 0; L < n_estrazioni; L++) {
// Generazione di un nuovo vettore J_ij random
// e di opts.n_seq sequenze che hanno quel J
double media_locale = 0;
double media_locale_n2 = 0;
double media_rid_locale = 0;
double media_rid_locale_n2 = 0;
ising_entries_jnorm(opts, buf_sequenze, generatore);
//riempi le partizioni, a partire dalle sequenze date
for (int i = 0; i < opts.n_seq; i++)
partitions[i].fill(&buf_sequenze[i * opts.seq_len], opts.seq_len);
//media delle distanze tra le coppie di sequenze generate
//#pragma omp parallel for firstprivate(d) schedule(dynamic,10) reduction(+: media_n, media_n2)
for (int i = 0; i < opts.n_seq; i++) {
for (int j = i + 1; j < opts.n_seq; j++) {
d.dist(partitions[i], partitions[j]);
media_locale += d.dist_shan;
media_rid_locale += d.dist_shan_r;
media_locale_n2 += (d.dist_shan)*(d.dist_shan);
media_rid_locale_n2 += (d.dist_shan_r)*(d.dist_shan_r);
}
}
#pragma omp critical
{
media_globale += media_locale;
media_globale_n2 += media_locale_n2;
media_rid_globale += media_rid_locale;
media_rid_globale_n2 += media_rid_locale_n2;
runs += 1;
}
}
}// </editor-fold>
// <editor-fold defaultstate="collapsed" desc="Reticoli bidimensionali">
if (opts.topologia == TORO_2D) {
std::clock_t start = std::clock();
double time_diff;
double completed_ratio;
#pragma omp parallel num_threads(opts.threads)
{
general_partition *partitions = new general_partition[opts.n_seq];
distance d(opts.seq_len);
RandMT generatore;
for (int L = 0; L < n_estrazioni; L++) {
// Generazione di un nuovo vettore J_ij random
// e di opts.n_seq sequenze che hanno quel J
double media_locale = 0;
double media_locale_n2 = 0;
double media_rid_locale = 0;
double media_rid_locale_n2 = 0;
ising_lattice(opts, generatore, partitions);
//media delle distanze tra le coppie di sequenze generate
//#pragma omp parallel for firstprivate(d) schedule(dynamic,10) reduction(+: media_n, media_n2)
for (int i = 0; i < opts.n_seq; i++) {
for (int j = i + 1; j < opts.n_seq; j++) {
d(partitions[i], partitions[j]);
media_locale += d.dist_shan;
media_rid_locale += d.dist_shan_r;
media_locale_n2 += (d.dist_shan)*(d.dist_shan);
media_rid_locale_n2 += (d.dist_shan_r)*(d.dist_shan_r);
}
}
#pragma omp critical
{
media_globale += media_locale;
media_globale_n2 += media_locale_n2;
media_rid_globale += media_rid_locale;
media_rid_globale_n2 += media_rid_locale_n2;
runs += 1;
}
#ifdef _OPENMP
int this_thread = omp_get_thread_num();
if (this_thread)
continue;
double time_ratio = omp_get_num_threads();
#else
double time_ratio = 1.0;
#endif
fprintf(stderr, "\r");
time_diff = (std::clock() - start) / (double) CLOCKS_PER_SEC / time_ratio;
completed_ratio = (L + 1.0) / n_estrazioni;
fprintf(stderr, "%.1f%% done, ETA %.0fs ",
completed_ratio * 100, ceil(time_diff * (1 / completed_ratio - 1)));
fflush(stderr);
}
}
time_diff = (std::clock() - start) / (double) CLOCKS_PER_SEC;
fprintf(stderr, "\r100%% done in %.1f seconds of CPU time\n", time_diff);
}// </editor-fold>
double varianza_n, varianza_r;
int Nd = runs * (opts.n_seq * (opts.n_seq - 1)) / 2;
media_globale /= Nd;
media_globale_n2 /= Nd;
media_rid_globale /= Nd;
media_rid_globale_n2 /= Nd;
varianza_n = media_globale_n2 - media_globale*media_globale;
varianza_r = media_rid_globale_n2 - media_rid_globale*media_rid_globale;
int lunghezza;
if(opts.topologia == TORO_2D)
lunghezza=opts.lato;
else
lunghezza=opts.seq_len;
printf("%d %f %f %f %f\n", lunghezza, media_globale, varianza_n, media_rid_globale, varianza_r);
//fprintf(stderr, "%d %f %f\n", opts.seq_len, media_globale, varianza_n);
return 0;
}