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#include <assert.h>
#include <stdlib.h>
#include <string.h>
#include <array>
#include <bitset>
#include <functional>
#include <iostream>
#include <list>
#include <unordered_map>
#include <unordered_set>
#include <thread>
#include <boost/integer.hpp>
#include "mmalloc.hpp"
#include "timer.hpp"
using namespace std;
using boost::optional;
#ifndef BIT_WIDTH
#define BIT_WIDTH 16
#endif
const uint8_t logState = BIT_WIDTH;
typedef typename boost::uint_t<logState >::least State;
typedef typename boost::uint_t<logState + 1>::least StateIter;
const StateIter numState = (StateIter) 1 << logState;
const StateIter nullState = ~((StateIter) 0);
const State maxState = ~((State) 0);
bitset<8> rule(110);
State update(State s) {
State r(0);
bitset<logState> b(s);
for (unsigned i=0; i<logState; i++)
r |= rule[1 * b[(i + logState - 1) % logState]
+ 2 * b[i]
+ 4 * b[(i + 1) % logState]] << i;
return r;
}
typedef array<State, numState> Trans;
typedef array<uint8_t, numState> pbitset;
void iterState(function<void(int)> f, optional<string> msg = optional<string>(), bool parallel = false) {
PerfPrinter perfPrinter(msg);
int numThreads=1;
if (parallel) {
numThreads = min<uint64_t>(thread::hardware_concurrency(), numState);
}
list<thread*> tasks;
for (int t=0; t<numThreads; t++) {
tasks.push_front(new thread([=]{
for (StateIter s = numState / numThreads * t;
s < ((t == numThreads - 1) ? numState : (numState / numThreads * (t+1)));
s++)
f(s);
}));
}
for (; !tasks.empty(); tasks.front()->join(), delete tasks.front(), tasks.pop_front());
}
void iterTrans(int times, function<void(int)> f, optional<string> msg = optional<string>(), bool parallel = false) {
PerfPrinter perfPrinter(msg);
auto msg2 = [=,&msg] (int i) {
return msg ? (*msg + string(" ") + to_string(times-i) + string("/") + to_string(times)) : msg; };
while (times--) {
iterState(f, msg2(times), parallel);
}
}
void init(Trans &t, Trans &c, pbitset &reachable) {
iterState([&](State s) {
t[s] = update(s);
c[s] = s;
reachable[t[s]] = 1;
}, (string) "single step transition table", true);
}
void findCycle(Trans &t, Trans &c) {
// forward to t=numState; now every state is in a cycle
iterTrans(logState, [&](State s) {
State n = t[s];
t[s] = t[n];
c[s] = min<State>(c[s], c[n]);
// TODO: detect if anything change, skip later rounds then
}, (string) "fwd time", true);
// Transients may have a cycle id (minimum state) that is on the
// transient (not in the cycle) and thus different from the cycle id
// in the cycle. Thus we copy the cycle id from a state in the cycle
// to all states in the basin.
iterState([&](State s) {
c[s] = c[t[s]];
}, (string) "fix transient cycle id", true);
}
State canonize(State s) {
// TODO: test if a variant base on clz is faster
State cs = s;
for (int i=0; i<logState; i++)
cs = min<State>(cs, (((s<<i) | (s>>(logState-i))) & maxState));
return cs;
};
void cycleStat(Trans &t, Trans &c, pbitset &reachable) {
struct Stat {
State basin, len, eden;
StateIter totalBasin;
explicit Stat() : basin(0), len(0), eden(0), totalBasin(0) {}
};
unordered_map<State, Stat> cycStat;
unordered_set<State> redCycleCounted;
// Is this cycle the canonical one?
// How big is the basin of attraction?
// How many garden of eden states does it contain?
{ PerfPrinter perfPrinter((string) "cycle count");
iterState([&](State s) {
auto cyc = c[s];
auto canonCyc = canonize(cyc);
auto &stat = cycStat[canonCyc];
stat.totalBasin++;
if (cyc == canonCyc) {
stat.basin++;
if (!reachable[s])
stat.eden++;
}
}, (string) "basin & eden"); }
// how long is the cycle, what is the actual minimal state
{ PerfPrinter perfPrinter((string) "cycle length");
for (auto &i : cycStat) {
Stat &stat = i.second;
State cur, start;
cur = start = t[i.first];
do {
stat.len++;
cur = update(cur);
} while (cur != start);
// TODO: parallelize loop
}}
// print it
for (auto &i : cycStat) {
auto &s = i.second;
assert(s.totalBasin % s.basin == 0);
cout << bitset<logState>(i.first) << "\t"
<< (s.totalBasin / s.basin) << "\t"
<< s.len << "\t"
<< s.basin << "\t"
<< s.eden << "\t"
<< i.first << endl;
}
}
void print(Trans &t) {
for (auto s : t)
cout << bitset<logState>(s) << endl;
}
void printTraj(State s, int count) {
while (count--) {
cout << bitset<logState>(s) << endl;
s = update(s);
}
}
int main(int argc, char **argv) {
assert(argc >= 2);
rule = atoi(argv[1]);
if (!strcmp(argv[2], "traj")) {
assert(argc == 5);
printTraj(atoi(argv[3]), atoi(argv[4]));
}
if (!strcmp(argv[2], "cycle")) {
Trans *t, *c;
pbitset *r;
{ PerfPrinter perfPrinter((string) "allocating memory");
t = mmalloc<Trans>();
c = mmalloc<Trans>();
r = mmalloc<pbitset>();
}
init(*t, *c, *r);
findCycle(*t, *c);
cycleStat(*t, *c, *r);
}
return 0;
}
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