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8 changed files with 601 additions and 157 deletions

4
.gitignore vendored Normal file
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**PTHREADS-BUILT**
**obj**
**bin**
.cache**

1
ext/pthreads4w-code Submodule

Submodule ext/pthreads4w-code added at 8e467a62a1

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@@ -2,29 +2,62 @@
namespace genetic { namespace genetic {
template <class T> struct Array;
template <class T> struct Stats;
template <class T> struct Strategy;
template <class T> Stats<T> run(Strategy<T>);
template <class T> struct Strategy { template <class T> struct Strategy {
// The recommended number of threads is <= number of cores on your pc. int num_threads; // Number of worker threads that will be evaluating cell
// Set this to -1 use the default value (number of cores - 1) // fitness.
int num_threads; // Number of worker threads that will be evaluating cell fitness int batch_size; // Number of cells a worker thread tries to work on in a row
int num_cells; // Size of the population pool // before accessing/locking the work queue again.
int num_cells; // Size of the population pool
int num_generations; // Number of times (epochs) to run the algorithm int num_generations; // Number of times (epochs) to run the algorithm
bool test_all; // Sets whether or not every cell is tested every generation bool test_all; // Sets whether or not every cell's fitness is evaluated every
float test_chance; // Chance to test any given cell's fitness. Relevant only if test_all is false. // generation
float test_chance; // Chance to test any given cell's fitness. Relevant only
// if test_all is false.
bool enable_crossover; // Cells that score well in the evaluation stage
// produce children that replace low-scoring cells
bool enable_crossover_mutation; // Mutations can occur after crossover
float crossover_mutation_chance; // Chance to mutate a child cell
int crossover_parent_num; // Number of unique high-scoring parents in a
// crossover call.
int crossover_parent_stride; // Number of parents to skip over when moving to
// the next set of parents. A stride of 1 would
// produce maximum overlap because the set of
// parents would only change by one every
// crossover.
int crossover_children_num; // Number of children to expect the user to
// produce in the crossover function.
bool enable_mutation; // Cells may be mutated
// before fitness evaluation
float mutation_chance; // Chance for any given cell to be mutated cells during
// the mutation
uint64_t rand_seed;
bool higher_fitness_is_better; // Sets whether or not to consider higher
// fitness values better or worse. Set this to
// false if fitness is an error function.
// User defined functions // User defined functions
T (*make_default_cell)(); T (*make_default_cell)();
void (*mutate)(T &cell_to_modify);
void (*crossover)(const Array<T *> parents, const Array<T *> out_children);
float (*fitness)(const T &cell); float (*fitness)(const T &cell);
void (*mutate)(const T &cell, T *out);
void (*crossover)(const T &a, const T &b, T *out);
float mutation_chance_per_gen;
}; };
template <class T> struct Stats { template <class T> struct Stats {
std::vector<T> best_cell; std::vector<T> best_cell;
std::vector<float> average_fitness; std::vector<float> best_cell_fitness;
}; };
template <class T> Stats<T> run(Strategy<T>); template <class T> struct Array {
T *_data;
int len;
T &operator[](int i);
};
} // namespace genetic } // namespace genetic

18
inc/rand.h Normal file
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// TODO: This file needs a serious audit
#include <cstdint>
constexpr uint64_t half_max = UINT64_MAX / 2;
// From https://en.wikipedia.org/wiki/Xorshift
inline void xorshift64(uint64_t &state) {
state ^= state << 13;
state ^= state >> 7;
state ^= state << 17;
}
// returns a random value between -1 and 1. modifies seed
inline float norm_rand(uint64_t &state) {
xorshift64(state);
return (state - half_max) / half_max;
}

155
inc/sync.h Normal file
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#pragma once
#ifdef _WIN32
#include "windows.h"
#endif
namespace sync {
#ifdef _WIN32
typedef CRITICAL_SECTION Mutex;
typedef CONDITION_VARIABLE ConditionVar;
typedef HANDLE Semaphore;
typedef HANDLE Thread;
typedef DWORD TimeSpan;
typedef DWORD WINAPI (*ThreadFunc)(_In_ LPVOID lpParameter);
typedef LPVOID ThreadArg
const TimeSpan infinite_ts = INFINITE;
#endif
Thread make_thread(ThreadFunc t);
void join(Thread t);
Mutex make_mutex();
void lock(Mutex &m);
bool trylock(Mutex &m);
void unlock(Mutex &m);
void dispose(Mutex &m);
ConditionVar make_condition_var();
void wait(ConditionVar &c, Mutex &m, TimeSpan ts);
void wake_one(ConditionVar &c);
void wake_all(ConditionVar &c);
void dispose(ConditionVar &c);
Semaphore make_semaphore(int initial, int max);
void wait(Semaphore &s);
void post(Semaphore &s);
void dispose(Semaphore &s);
TimeSpan from_ms(double milliseconds);
TimeSpan from_s(double seconds);
TimeSpan from_min(double minutes);
TimeSpan from_hours(double hours);
double to_ms(TimeSpan &sp);
double to_s(TimeSpan &sp);
double to_min(TimeSpan &sp);
double to_hours(TimeSpan &sp);
#ifdef _WIN32
Thread make_thread(ThreadFunc f, ThreadArg a) {
DWORD tid;
return CreateThread(NULL, 0, t, a, 0, &tid);
}
void join(Thread t) {
WaitForSingleObject(t, infinite_ts);
}
Mutex make_mutex() {
Mutex m;
InitializeCriticalSection(&m);
return m;
}
void lock(Mutex &m) {
EnterCriticalSection(&m);
}
bool trylock(Mutex &m) {
return TryEnterCriticalSection(&m);
}
void unlock(Mutex &m) {
LeaveCriticalSection(&m);
}
void dispose(Mutex &m) {
DeleteCriticalSection(&m);
}
ConditionVar make_condition_var() {
ConditionVar c;
InitializeConditionVariable(&c);
return c;
}
void wait(ConditionVar &c, Mutex &m, TimeSpan ts) {
SleepConditionVariable(&c, &m, ts);
}
void wake_one(ConditionVar &c) {
WakeConditionVariable(&c);
}
void wake_all(ConditionVar &c) {
WakeAllConditionVariable(&c);
}
void dispose(ConditionVar &c) {
return; // Windows doesn't have a delete condition variable func
}
Semaphore make_semaphore(int initial, int max) {
return CreateSemaphoreA(NULL, (long)initial, (long)max, NULL);
}
void wait(Semaphore &s) {
WaitForSingleObject(s, infinite_ts);
}
void post(Semaphore &s) {
ReleaseSemaphore(s);
}
void dispose(Semaphore &s) {
CloseHandle(s);
}
TimeSpan from_ms(double milliseconds) {
return static_cast<TimeSpan>(milliseconds);
}
TimeSpan from_s(double seconds) {
return static_cast<TimeSpan>(seconds*1000.0);
}
TimeSpan from_min(double minutes) {
return static_cast<TimeSpan>(minutes*60.0*1000.0);
}
TimeSpan from_hours(double hours) {
return static_cast<TimeSpan>(hours*60.0*60.0*1000.0);
}
double to_ms(TimeSpan &sp) {
return static_cast<double>(sp);
}
double to_s(TimeSpan &sp) {
return static_cast<double>(sp)/1000.0;
}
double to_min(TimeSpan &sp) {
return static_cast<double>(sp)/(1000.0*60.0);
}
double to_hours(TimeSpan &sp) {
return static_cast<double>(sp)/(1000.0*60.0*60.0);
}
#endif
} // namespace sync

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@@ -1,13 +1,61 @@
src_files = $(find src -iname "*.cpp") src_files = $(shell find src -iname "*.cpp")
obj_files = $(src_files:%.cpp=%.o) obj_files = $(src_files:src/%.cpp=obj/%.o)
ifeq ($(OS),Windows_NT)
CCFLAGS += -D WIN32 -Iext/PTHREADS-BUILT/include -std=c++20
PTHREADLIB = ext/PTHREADS-BUILT/lib/pthreadVCE3.lib
ifeq ($(PROCESSOR_ARCHITEW6432),AMD64)
CCFLAGS += -D AMD64
else
ifeq ($(PROCESSOR_ARCHITECTURE),AMD64)
CCFLAGS += -D AMD64
endif
ifeq ($(PROCESSOR_ARCHITECTURE),x86)
CCFLAGS += -D IA32
endif
endif
else
UNAME_S := $(shell uname -s)
ifeq ($(UNAME_S),Linux)
CCFLAGS += -D LINUX
endif
ifeq ($(UNAME_S),Darwin)
CCFLAGS += -D OSX
endif
UNAME_P := $(shell uname -p)
ifeq ($(UNAME_P),x86_64)
CCFLAGS += -D AMD64
endif
ifneq ($(filter %86,$(UNAME_P)),)
CCFLAGS += -D IA32
endif
ifneq ($(filter arm%,$(UNAME_P)),)
CCFLAGS += -D ARM
endif
endif
debug: OPTIMIZATION_FLAG = -g
release: OPTIMIZATION_FLAG = -O3
release: all export_comp_db
debug: all export_comp_db
all: $(obj_files) all: $(obj_files)
echo $(obj_files) @ mkdir -p bin
echo $(src_files) g++ -I inc/ $^ $(PTHREADLIB) -o bin/main $(OPTIMIZATION_FLAG) $(CCFLAGS)
g++ -o main $^
%.o: %.cpp obj/%.o: src/%.cpp
g++ -o $@ $< @ mkdir -p obj
g++ -I inc/ -c $< -o $@ $(OPTIMIZATION_FLAG) $(CCFLAGS)
export_comp_db:
echo [ > compile_commands.json
make debug -B --dry-run > temp
awk '/g\+\+.*\.cpp/ { f="compile_commands.json"; printf "\t\{\n\t\t\"directory\": \"%s\",\n\t\t\"command\": \"%s\",\n\t\t\"file\": \"%s\"\n\t\},\n", ENVIRON["PWD"], $$0, $$5 >> f }' temp
echo ] >> compile_commands.json
rm temp
clean: clean:
rm -f *.o *.exe rm -f obj/*.o bin/*.exe

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@@ -1,42 +1,279 @@
#include "genetic.h" #include <algorithm>
#include <queue> #include <cstdint>
#include <cstdlib>
#include <optional>
#include <variant>
#include <vector> #include <vector>
#include <pthread.h>
#include "genetic.h"
#include "pthread.h"
#include "rand.h"
#define NUM_QUEUE_RETRIES 10
using namespace std;
// std::visit/std::variant overload pattern
// See:
// https://www.modernescpp.com/index.php/visiting-a-std-variant-with-the-overload-pattern/
// You don't have to understand this, just use it :)
template <typename... Ts> struct overload : Ts... {
using Ts::operator()...;
};
template <class... Ts> overload(Ts...) -> overload<Ts...>;
namespace genetic { namespace genetic {
template <class T> struct CellEntry { template <class T> struct cell_entry {
float score; float score;
T cell; T *cell;
bool stale; bool stale;
}; };
template <class T> struct WorkEntry { template <class T> struct crossover_job {
const std::vector<CellEntry<T>> &cur; Array<cell_entry<T> *> &parents;
std::vector<CellEntry<T>> &next; Array<cell_entry<T> *> &children_out;
int cur_i;
}; };
// Definitions template <class T> struct fitness_job {
template <class T> Stats<T> run(Strategy<T> strat) { cell_entry<T> *cell_entry;
Stats<T> stats; };
std::queue<WorkEntry<T>> fitness_queue; template <class T> struct mutate_job {
std::vector<CellEntry<T>> cells_a, cells_b; cell_entry<T> *cell_entry;
for (int i = 0; i < strat.num_cells; i++) { };
T cell = strat.make_default_cell();
cells_a.push_back({0, cell, true});
cells_b.push_back({0, cell, true});
}
std::vector<CellEntry<T>> &cur_cells = cells_a; template <class T> struct work_queue {
std::vector<CellEntry<T>> &next_cells = cells_b; variant<crossover_job<T>, fitness_job<T>, mutate_job<T>> *jobs;
int len;
int read_i;
int write_i;
bool done_writing;
for (int i = 0; i < strat.num_generations; i++) { pthread_mutex_t data_mutex;
pthread_mutex_t gen_complete_mutex;
pthread_mutex_t jobs_available_mutex;
cur_cells = cur_cells == cells_a ? cells_b : cells_a; pthread_cond_t gen_complete_cond;
next_cells = cur_cells == cells_a ? cells_b : cells_a; pthread_cond_t jobs_available_cond;
};
template <class T> work_queue<T> make_work_queue(int len) {
return {.jobs = (variant<fitness_job<T>, crossover_job<T>> *)malloc(
sizeof(variant<fitness_job<T>, crossover_job<T>>) * len),
.len = len,
.read_i = 0,
.write_i = 0,
.done_writing = false,
.data_mutex = PTHREAD_MUTEX_INITIALIZER,
.gen_complete_mutex = PTHREAD_MUTEX_INITIALIZER,
.jobs_available_mutex = PTHREAD_MUTEX_INITIALIZER,
.gen_complete_cond = PTHREAD_COND_INITIALIZER,
.jobs_available_cond = PTHREAD_COND_INITIALIZER};
}
template <class T> struct job_batch {
Array<variant<crossover_job<T>, fitness_job<T>>> jobs;
bool gen_complete;
};
template <class T>
optional<job_batch<T>> get_job_batch(work_queue<T> &queue, int batch_size,
bool *stop_flag) {
while (true) {
for (int i = 0; i < NUM_QUEUE_RETRIES; i++) {
if (queue.read_i < queue.write_i &&
pthread_mutex_trylock(&queue.data_mutex)) {
job_batch<T> res;
res.jobs._data = &queue._jobs[queue.read_i];
int span_size = min(batch_size, queue.write_i - queue.read_i);
res.jobs.len = span_size;
queue.read_i += span_size;
res.gen_complete = queue.done_writing && queue.read_i == queue.write_i;
pthread_mutex_unlock(&queue.data_mutex);
return res;
}
}
pthread_mutex_lock(&queue.jobs_available_mutex);
pthread_cond_wait(queue.jobs_available_cond, &queue.jobs_available_mutex);
if (stop_flag)
return {};
} }
} }
template <class T> struct worker_thread_args {
Strategy<T> &strat;
work_queue<T> &queue;
bool *stop_flag;
};
template <class T> void *worker(void *args) {
worker_thread_args<T> *work_args = (worker_thread_args<T> *)args;
Strategy<T> &strat = work_args->strat;
work_queue<T> &queue = work_args->queue;
bool *stop_flag = work_args->stop_flag;
auto job_dispatcher = overload{
[strat](mutate_job<T> mj) {
strat.mutate(*mj.cell_entry->cell);
mj.cell_entry->stale = true;
},
[strat](fitness_job<T> fj) {
fj.cell_entry->score = strat.fitness(*fj.cell_entry->cell);
fj.cell_entry->stale = false;
},
[strat](crossover_job<T> cj) {
Array<T *> parent_cells, child_cells;
parent_cells = {(T **)malloc(sizeof(T *) * cj.parents.len),
cj.parents.len};
child_cells = {(T **)malloc(sizeof(T *) * cj.children_out.len),
cj.children_out.len};
for (int i = 0; i < cj.parents.len; i++) {
parent_cells[i] = cj.parents[i].cell;
}
for (int i = 0; i < cj.children_out.len; i++) {
child_cells[i] = cj.children_out[i].cell;
cj.children_out[i].stale = true;
}
strat.crossover(parent_cells, child_cells);
},
};
while (true) {
auto batch = get_job_batch(queue, strat.batch_size, stop_flag);
if (!batch || *stop_flag)
return NULL;
// Do the actual work
for (int i = 0; i < batch->jobs.len; i++) {
visit(job_dispatcher, batch->jobs[i]);
}
if (batch->gen_complete) {
pthread_cond_signal(&queue.gen_complete_cond, &queue.gen_complete_mutex);
}
}
}
template <class T> Stats<T> run(Strategy<T> strat) {
Stats<T> stats;
// The work queue is what all the worker threads will checking
// for jobs
work_queue<T> queue = make_work_queue<T>(strat.num_cells);
// The actual cells. Woo!
T cells[strat.num_cells];
// Using a vector so I can use the make_heap, push_heap, etc.
vector<cell_entry<T>> cell_queue;
for (int i = 0; i < strat.num_cells; i++) {
cells[i] = strat.make_default_cell();
cell_queue.push_back({0, &cells[i], true});
}
bool stop_flag = false;
worker_thread_args<T> args = {
.strat = strat, .queue = queue, .stop_flag = &stop_flag};
// spawn worker threads
pthread_t threads[strat.num_threads];
for (int i = 0; i < strat.num_threads; i++) {
pthread_create(&threads[i], NULL, worker<T>, (void *)args);
}
uint64_t rand_state = strat.rand_seed;
for (int i = 0; i < strat.num_generations; i++) {
// Mutate some random cells in the population
for (int i = 0; i < cell_queue.size(); i++) {
if (abs(norm_rand(rand_state)) < strat.mutation_chance) {
queue.jobs[queue.write_i] = mutate_job<T>{&cell_queue[i]};
queue.write_i++;
}
}
pthread_cond_broadcast(&queue.jobs_available_cond);
// Potential issue here where mutations aren't done computing and fitness
// jobs begin. maybe need to gate this.
// Generate fitness jobs
for (int i = 0; i < cell_queue.size(); i++) {
if (cell_queue[i].stale &&
(strat.test_all || abs(norm_rand(rand_state)) < strat.test_chance)) {
queue.jobs[queue.write_i] = fitness_job<T>{&cell_queue[i]};
queue.write_i++;
}
pthread_cond_broadcast(&queue.jobs_available_cond);
}
queue.done_writing = true;
// wait for fitness jobs to complete
pthread_mutex_lock(&queue.gen_complete_mutex);
// Before going to sleep, do a quick check to see if the fitness jobs are
// already complete.
pthread_mutex_lock(&queue.data_mutex);
bool already_complete = queue.read_i != queue.write_i;
pthread_mutex_unlock(&queue.data_mutex);
if (already_complete) {
pthread_mutex_unlock(&queue.gen_complete_mutex);
} else {
pthread_cond_wait(&queue.gen_complete_cond, &queue.gen_complete_mutex);
}
// Sort cells on performance
std::sort(cell_queue.begin(), cell_queue.end(),
[strat](cell_entry<T> a, cell_entry<T> b) {
return strat.higher_fitness_is_better ? a > b : a < b;
});
printf("Top Score: %f\n", cell_queue[0].score);
if (!strat.enable_crossover)
continue;
// generate crossover jobs
// dear god. forgive me father
queue.write_i = 0;
queue.read_i = 0;
int count = 0;
int n_par = strat.crossover_parent_num;
int n_child = strat.crossover_children_num;
int child_i = cell_queue.size() - 1;
int par_i = 0;
while (child_i - par_i <= n_par + n_child) {
Array<cell_entry<T> *> parents = {
(cell_entry<T> **)malloc(sizeof(cell_entry<T> *) * n_par), n_par};
Array<cell_entry<T> *> children = {
(cell_entry<T> **)malloc(sizeof(cell_entry<T> *) * n_child), n_child};
for (; par_i < par_i + n_par; par_i++) {
parents[i] = cell_queue[par_i];
}
for (; child_i > child_i - n_child; child_i--) {
children[i] = cell_queue[child_i];
}
queue.jobs[queue.write_i] = crossover_job<T>{parents, children};
par_i += strat.crossover_parent_stride;
child_i += strat.crossover_children_stride;
}
}
// stop worker threads
stop_flag = true;
pthread_cond_broadcast(&queue.jobs_available_cond);
for (int i = 0; i < strat.num_threads; i++) {
pthread_join(threads[i], NULL);
}
}
template <class T> T &Array<T>::operator[](int i) {
return _data[i];
}
} // namespace genetic } // namespace genetic

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@@ -1,133 +1,81 @@
#include <algorithm>
#include <cassert> #include <cassert>
#include <cstdint>
#include <cstdlib> #include <cstdlib>
#include <iostream> #include "genetic.h"
#include <vector> #include "rand.h"
#define MUTATION_CHANCE 1.0 using namespace genetic;
float norm_rand() { return (float)rand() / RAND_MAX; } const int len = 10;
const float max_float = 9999.9f;
static uint64_t seed = 12;
static float num_mutate_chance = 0.5;
static int num_parents = 2;
static int num_children = 2;
enum class ConstraintType {
PRODUCT = 0,
SUM = 1,
INDEX_EQ = 2,
};
struct Constraint { static int target_sum = 200;
ConstraintType type; static int target_product = 300;
int optional_i;
float value;
};
static std::vector<Constraint> constraints;
struct Cell { Array<float> make_new_arr() {
int n; Array<float> arr = { (float*)malloc(sizeof(float)*len), len };
float *params; for (int i = 0; i < arr.len; i++) {
}; arr[i] = norm_rand(seed) * max_float;
}
Cell make_cell(int num_params) { return arr;
Cell res = {num_params, (float *)malloc(num_params * sizeof(float))};
for (int i = 0; i < num_params; i++) {
res.params[i] = 0;
}
return res;
} }
float get_cell_err(const Cell &a) { void mutate(Array<float> &arr_to_mutate) {
float total_diff = 0; for (int i = 0; i < len; i++) {
for (auto c : constraints) { if (norm_rand(seed) < num_mutate_chance) {
switch (c.type) { arr_to_mutate[i] = norm_rand(seed) * max_float;
case ConstraintType::SUM: { }
float sum = 0;
for (int i = 0; i < a.n; i++) {
sum += a.params[i];
}
total_diff += abs(c.value - sum);
break;
} }
case ConstraintType::PRODUCT: {
float prod = 1;
for (int i = 0; i < a.n; i++) {
prod *= a.params[i];
}
total_diff += abs(c.value - prod);
break;
}
case ConstraintType::INDEX_EQ: {
assert(c.optional_i < a.n);
total_diff += abs(c.value - a.params[c.optional_i]);
break;
}
}
}
return total_diff;
} }
bool operator<(const Cell &a, const Cell &b) { void crossover(const Array<Array<float>*> parents, const Array<Array<float> *> out_children) {
assert(a.n == b.n); for (int i = 0; i < len; i++) {
return get_cell_err(a) < get_cell_err(b); (*out_children._data[0])[i] = i < len/2 ? (*parents._data[0])[i] : (*parents._data[1])[i];
(*out_children._data[1])[i] = i < len/2 ? (*parents._data[1])[i] : (*parents._data[0])[i];
}
} }
void combine_cells(const Cell &a, const Cell &b, Cell *child) { // norm_rand can go negative. fix in genetic.cpp
bool a_first = norm_rand() > 0.5f; // child stride doesn't make sense. Should always skip over child num
for (int i = 0; i < a.n; i++) {
float offset = norm_rand() * 10; float fitness(const Array<float> &cell) {
float roll = norm_rand(); float sum = 0;
if (a_first) { float product = 1;
child->params[i] = (i < a.n / 2 ? a.params[i] : b.params[i]) + for (int i = 0; i < cell.len; i++) {
(roll > 0.5 ? offset : -offset); sum += cell._data[i];
} else { product *= cell._data[i];
child->params[i] = (i < a.n / 2 ? b.params[i] : a.params[i]) +
(roll > 0.5 ? offset : -offset);
} }
} return abs(sum - target_sum) + abs(product - target_product);
float r = norm_rand();
child->params[(int)r * (a.n - 1)] = r * 100.0;
} }
int main(int argc, char **argv) { int main(int argc, char **argv) {
int num_params, num_cells, num_generations, num_constraints = 0; Strategy<Array<float>> strat {
std::cin >> num_params >> num_cells >> num_generations >> num_constraints; .num_threads = 1,
.batch_size = 1,
.num_cells = 10,
.num_generations = 10,
.test_all = true,
.test_chance = 0.0, // doesn't matter
.enable_crossover = true,
.enable_crossover_mutation = true,
.crossover_mutation_chance = 0.6f,
.crossover_parent_num = 2,
.crossover_parent_stride = 1,
.crossover_children_num = 2,
.enable_mutation = true,
.mutation_chance = 0.8,
.rand_seed = seed,
.higher_fitness_is_better = false,
.make_default_cell=make_new_arr,
.mutate=mutate,
.crossover=crossover,
.fitness=fitness
};
std::cout << num_params << " " << num_cells << " " << num_generations << " " auto res = run(strat);
<< num_constraints << std::endl;
for (int i = 0; i < num_constraints; i++) {
int type_in, optional_i = 0;
float value;
std::cin >> type_in >> value;
ConstraintType type = static_cast<ConstraintType>(type_in);
if (type == ConstraintType::INDEX_EQ) {
std::cin >> optional_i;
}
constraints.push_back({type, optional_i, value});
}
std::vector<Cell> cells;
for (int i = 0; i < num_cells; i++) {
cells.push_back(make_cell(num_params));
}
for (int i = 0; i < num_generations; i++) {
std::sort(cells.begin(), cells.end());
for (int j = 0; j < num_cells / 2; j++) {
combine_cells(cells[j], cells[j + 1], &cells[num_cells / 2 + j]);
}
if (i % 1000 == 0) {
std::cout << i << "\t" << get_cell_err(cells[0]) << std::endl;
}
}
std::cout << "Final Answer: ";
float sum = 0;
float product = 1;
for (int i = 0; i < cells[0].n; i++) {
std::cout << cells[0].params[i] << " ";
sum += cells[0].params[i];
product *= cells[0].params[i];
}
std::cout << std::endl;
std::cout << "Sum: " << sum << std::endl;
std::cout << "Product: " << product << std::endl;
} }