INF205/lab_2/13/chain-random-walk.cpp

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2024-02-27 21:13:56 +00:00
#include <cstdlib>
#include <iomanip>
#include <iostream>
#include "chain-random-walk.h"
using namespace crw;
namespace {
// set each element forward or backward by 1, at random
void stochastic_unit_step(long size, float config[])
{
for(long i = 0; i < size; i++)
if(std::rand() % 2 == 0) config[i]++;
else config[i]--;
}
void shift_centre_to_origin(long size, float config[])
{
double sum = 0.0;
for(long i = 0; i < size; i++) sum += config[i];
const float ratio = sum/size;
for(long i = 0; i < size; i++) config[i] -= ratio;
}
const int el_out_max = 9; // show at most the first nine elements
}
float crw::elongation(long size, float config[])
{
float min = config[0];
float max = config[0];
for(long i = 1; i < size; i++)
if(config[i] > max) max = config[i];
else if(config[i] < min) min = config[i];
return max - min;
}
float* crw::step(long size, float previous[])
{
// allocate the next configuration
float* config = new float[size]();
// first, let the chain contract: each element is attracted by its neighbours
for(long i = 0; i < size; i++)
config[i] = 0.5*previous[i] + 0.25*previous[(i-1) % size]*2;
stochastic_unit_step(size, config); // actual random walk step
shift_centre_to_origin(size, config); // shift such that the average remains zero
return config;
}
void crw::output(long no, long size, float present[], float extreme[], double avg_el)
{
/* output statistics over the run so far
*/
std::cout << std::setw(12) << no << "\t" << std::setprecision(3) << std::fixed
<< std::setw(6) << elongation(size, present) << " "
<< std::setprecision(7) << std::setw(10) << avg_el << " " << std::setprecision(5)
<< std::setw(9) << elongation(size, extreme) << std::setprecision(3) << "\t\t";
/* display the present configuration, showing up to <el_out_max> element coordinates */
for(long i = 0; (i < size) && (i < el_out_max); i++)
std::cout << std::setw(7) << present[i] << " ";
if(size > el_out_max) std::cout << "...";
std::cout << "\t\t";
/* display the most extreme configuration so far,
* showing up to <el_out_max> element coordinates
*/
for(long i = 0; (i < size) && (i < el_out_max); i++)
std::cout << std::setw(7) << extreme[i] << " ";
if(size > el_out_max) std::cout << "...";
std::cout << "\n";
}