/*
 * split.c
 *
 *  Created on: 19/02/2015

 *      Author: pedro

 */

#include "split.h"

#include <limits.h>
#include <stdint.h>
#include <stdio.h>
#include <stdlib.h>
#include <ctype.h>
#include <string.h>
#include <math.h>

#if defined(WIN32) || defined(_WIN32) || defined(__WIN32) && !defined(__CYGWIN__)
#include "utils\pthread_win32\pthread.h"
#include "windows.h"
#else
#include <pthread.h>
#include <sys/time.h>
#endif

#include "bitmaps.h"
#include "config.h"
#include "config_device.h"
#include "constraints.h"
#include "domains.h"
#include "intervals.h"
#include "solve.h"
#include "utils/benchmark.h"

#include "utils/cl_errors.h"

#include "variables.h"

unsigned int devs_working;	// number of devices still working
unsigned int devs_ranked;	// number of devices already ranked
pthread_mutex_t opt_lock;	// to synchronize threads for gathering optimization results
pthread_mutex_t stats_lock;	// to synchronize threads for gathering statistics results

pthread_barrier_t barrier;
unsigned int mult_max; 		// ID of the variable that should be expanded when multiplying the ss
unsigned int best_sols_found;	// counter for number of best solutions found
unsigned int vs_labeled_at_exp;	// number of variables marked for labeling that were fully expanded when creating sub-search spaces
bool filtering = false;
bool all_GPUs = true;

/*
 * Split the CSP between all the selected devices and work-items and solves it.
 * If only one solution, or the best solution is wanted it return 1 if it is found, or 0 if none is found.

 * If all solutions must be found it returns the number of solutions found.
 * */
cl_ulong solve_CSP() {

	unsigned int i, j;

	if (N_VS_ORIGINAL == 0) {
		N_VS_ORIGINAL = V_ID_CNTR;

	}

	if (N_CS_ORIGINAL == 0) {

		N_CS_ORIGINAL = C_ID_CNTR;
	}

	if (PRINT_CSP) {

		print_CSP();

	}

	if (N_DEVS > 1 && DOMAIN_TYPE == INTERVAL) {

		fprintf(stderr, "\nPHACT cannot use interval domains with more than one device at the same time.\n"

				"Please remove \"-INTERVALS\" from the command arguments, or use a single device.\n\n");

		exit(-1);
	}

	if (CS_IGNORE && DOMAIN_TYPE == INTERVAL) {
		CS_IGNORE = false;
	}

#if PRE_FILTER

	// Prunes domain values that are already inconsistent at CSP definition
	if (!filter_CSP()) {

		return 0;

	}

	// If these results are a solution, returns 1

	if (cs_check(false)) {
		return 1;
	}

	// remove constraints fixed after filtering
	if (CS_IGNORE) {

		cs_remove_ignored();

	}

	// all the constraints were fixed at filtering, but some variables are not singleton

	if (N_CS == 0) {

		j = 1;
		for (i = 0; i < N_VS; i++) {
			j *= VS[i].n_vals;

		}

		printf("\n");

		return j;

	}

#endif

	devs_ranked = 0;	// number of devices already ranked

	mult_max = 1; 	// ID of the variable that should be expanded when multiplying the ss
	best_sols_found = 1;	// counter for number of best solutions found
	vs_labeled_at_exp = 0;	// number of variables marked for labeling that were fully expanded when creating sub-search spaces

	unsigned int n_ss = 0;		// Number of sub-search spaces created

	unsigned int depth = 0;		// Tree expansion depth needed to get n_ss disjoint search spaces
	unsigned int gpu_cntr = 0;	// Number of GPUs compatible with OpenCL present on the running machine
	unsigned int cpu_cntr = 0;	// Number of CPUs compatible with OpenCL present on the running machine
	unsigned int acc_cntr = 0;	// Number of ACCs compatible with OpenCL present on the running machine
	cl_ulong result = 0;	// Number of solutions found, or 0 or 1 if only one solution is wanted
	unsigned int next_str = 0;	// Index in stores where the next unexplored sub-search space is placed (atomic read and write)

	unsigned char sol_found = 0;	// To set to 1 when only one solution is wanted and is found (atomic read and write)

	int thread_ret;			// Value returned from each device thread
	unsigned int n_vs_cs;	// number of all variables in all constraints
	unsigned int n_cs_vs;	// number of all constraints in all variables
	unsigned int n_const_cs;	// number of all constant values in all constraints with more than one constant value

	size_t l_mem_per_wi;	// size in bytes of the local memory needed per work-item

	char* host_name = NULL;

	STATS.n_solutions = 0;

	STATS.search_spaces = 0;

	platf_args* platform_args;		// each platform arguments for all devices of the same platform
	cl_device_id gpu_dev[MAX_DEVS];		// to save all GPUs cl_device_id
	cl_platform_id gpu_platf[MAX_DEVS];	// to save all GPUs cl_platform_id
	cl_device_id cpu_dev[MAX_DEVS];		// to save all CPUs cl_device_id
	cl_platform_id cpu_platf[MAX_DEVS];	// to save all CPUs cl_platform_id

	cl_device_id acc_dev[MAX_DEVS];		// to save all ACCs cl_device_id

	cl_platform_id acc_platf[MAX_DEVS];	// to save all ACCs cl_platform_id
	cl_platform_id* platfs = NULL;		// to save all devices cl_platform_id
	cl_device_id* devs = NULL;		// to save all devices cl_device_id
	cl_uint platf_cnt = 0;			// number of platforms (Intel, Nvidia...)

	cl_uint dev_cnt = 0;			// number of devices on each platform (CPU, MIC...)

	cl_int ret;		// output of clGetPlatformIDs and clGetDeviceIDs

	size_t val_size;

	// Use command line heuristics for labeling and assignment, if existent
	// if not use default
	if (LABEL_MODE_COM != DEFAULT_L) {
		LABEL_MODE = LABEL_MODE_COM;

	} else if (LABEL_MODE == DEFAULT_L) {
		LABEL_MODE = LABEL_MODE_D;
	}
	if (ASSIGN_MODE_COM != DEFAULT_A) {
		ASSIGN_MODE = ASSIGN_MODE_COM;

	} else if (ASSIGN_MODE == DEFAULT_A) {
		ASSIGN_MODE = ASSIGN_MODE_D;
	}

	init_csp_and_d_bits();

	// discover all platforms (Intel, Nvidia, AMD,...)
	ret = clGetPlatformIDs(0, NULL, &platf_cnt);
	cl_check_error(ret, "clGetPlatformIDs", "discovering devices");
	platfs = (cl_platform_id*) malloc(platf_cnt * sizeof(cl_platform_id));
	ret = clGetPlatformIDs(platf_cnt, platfs, NULL);
	cl_check_error(ret, "clGetPlatformIDs", "discovering devices");

	platform_args = (platf_args*) malloc(platf_cnt * sizeof(platf_args));

	// when all devices should be used
	if (ALL_DEVS) {
		N_DEVS = 0;
		// for each platform
		for (i = 0; i < platf_cnt; i++) {
			// discover all devices (GPUs, CPUs, MICs,...)
			ret = clGetDeviceIDs(platfs[i], CL_DEVICE_TYPE_ALL, 0, NULL, &dev_cnt);
			cl_check_error(ret, "clGetDeviceIDs", "discovering devices");
			devs = (cl_device_id*) malloc(sizeof(cl_device_id) * dev_cnt);
			ret = clGetDeviceIDs(platfs[i], CL_DEVICE_TYPE_ALL, dev_cnt, devs, NULL);
			cl_check_error(ret, "clGetDeviceIDs", "discovering devices");

			platform_args[i].platform_id = platfs[i];
			platform_args[i].n_devs = dev_cnt;

			// for each device
			for (j = 0; j < dev_cnt; j++) {
				// Identify the type of device (GPU, CPU, MIC,...)
				cl_device_type cl_device_type;

				ret = clGetDeviceInfo(devs[j], CL_DEVICE_TYPE, sizeof(cl_device_type), &cl_device_type, NULL);
				cl_check_error(ret, "clGetDeviceInfo", "CL_DEVICE_TYPE");

				// to identify the device that user wants to use

				if (cl_device_type & CL_DEVICE_TYPE_GPU) {
					DEVICES_INFO[N_DEVS].type = CL_DEVICE_TYPE_GPU;
					DEVICES_INFO[N_DEVS].dev_type_n = (int)gpu_cntr + 1;
					DEVICES_INFO[N_DEVS].n_wg = 0;
					DEVICES_INFO[N_DEVS].n_wi_wg = 0;
					gpu_platf[gpu_cntr] = platfs[i];
					gpu_dev[gpu_cntr++] = devs[j];
				} else if (cl_device_type & CL_DEVICE_TYPE_CPU) {
					DEVICES_INFO[N_DEVS].type = CL_DEVICE_TYPE_CPU;
					DEVICES_INFO[N_DEVS].dev_type_n = (int)cpu_cntr + 1;
					DEVICES_INFO[N_DEVS].n_wg = 0;
					DEVICES_INFO[N_DEVS].n_wi_wg = 0;
					cpu_platf[cpu_cntr] = platfs[i];
					cpu_dev[cpu_cntr++] = devs[j];

					// get device name
					ret = clGetDeviceInfo(devs[j], CL_DEVICE_NAME, 0, NULL, &val_size);
					cl_check_error(ret, "clGetDeviceInfo", "CL_DEVICE_NAME");
					char* aux_name = (char*) malloc(val_size);
					ret = clGetDeviceInfo(devs[j], CL_DEVICE_NAME, val_size, aux_name, NULL);
					cl_check_error(ret, "clGetDeviceInfo", "CL_DEVICE_NAME");

					// trim leading spaces on device name
					unsigned int del = 0;
					while (isspace((unsigned char )(aux_name[del])))
						del++;
					host_name =  (char*) malloc(val_size - del);
					strcpy(host_name, &aux_name[del]);
					free(aux_name);

				} else if (cl_device_type & CL_DEVICE_TYPE_ACCELERATOR) {
					DEVICES_INFO[N_DEVS].type = CL_DEVICE_TYPE_ACCELERATOR;
					DEVICES_INFO[N_DEVS].dev_type_n = (int)acc_cntr + 1;
					DEVICES_INFO[N_DEVS].n_wg = 0;
					DEVICES_INFO[N_DEVS].n_wi_wg = 0;
					acc_platf[acc_cntr] = platfs[i];
					acc_dev[acc_cntr++] = devs[j];
				} else {
					fprintf(stderr, "\nclGetDeviceInfo returned a device type that is not supported by the Solver.\n");
					exit(-1);
				}
				N_DEVS++;
			}
		}
		// when user selected the devices to use
	} else {
		// for each platform
		for (i = 0; i < platf_cnt; i++) {

			// discover all devices (GPUs, CPUs, MICs,...)
			ret = clGetDeviceIDs(platfs[i], CL_DEVICE_TYPE_ALL, 0, NULL, &dev_cnt);
			cl_check_error(ret, "clGetDeviceIDs", "discovering devices");
			devs = (cl_device_id*) malloc(dev_cnt * sizeof(cl_device_id));
			ret = clGetDeviceIDs(platfs[i], CL_DEVICE_TYPE_ALL, dev_cnt, devs, NULL);
			cl_check_error(ret, "clGetDeviceIDs", "discovering devices");

			platform_args[i].platform_id = platfs[i];
			platform_args[i].n_devs = dev_cnt;

			// for each device
			for (j = 0; j < dev_cnt; j++) {
				// Identify the type of device (GPU, CPU, MIC,...)
				cl_device_type cl_device_type;
				ret = clGetDeviceInfo(devs[j], CL_DEVICE_TYPE, sizeof(cl_device_type), &cl_device_type, NULL);
				cl_check_error(ret, "clGetDeviceInfo", "CL_DEVICE_TYPE");

				// to identify the device that user wants to use
				if (cl_device_type & CL_DEVICE_TYPE_GPU) {
					gpu_platf[gpu_cntr] = platfs[i];
					gpu_dev[gpu_cntr++] = devs[j];
				} else if (cl_device_type & CL_DEVICE_TYPE_CPU) {
					cpu_platf[cpu_cntr] = platfs[i];
					cpu_dev[cpu_cntr++] = devs[j];

					// get device name

					ret = clGetDeviceInfo(devs[j], CL_DEVICE_NAME, 0, NULL, &val_size);
					cl_check_error(ret, "clGetDeviceInfo", "CL_DEVICE_NAME");
					char* aux_name = (char*) malloc(val_size);
					ret = clGetDeviceInfo(devs[j], CL_DEVICE_NAME, val_size, aux_name, NULL);

					cl_check_error(ret, "clGetDeviceInfo", "CL_DEVICE_NAME");

					// trim leading spaces on device name

					unsigned int del = 0;
					while (isspace((unsigned char )(aux_name[del])))

						del++;
					host_name =  (char*) malloc(val_size - del);
					strcpy(host_name, &aux_name[del]);
					free(aux_name);

				} else if (cl_device_type & CL_DEVICE_TYPE_ACCELERATOR) {
					acc_platf[acc_cntr] = platfs[i];
					acc_dev[acc_cntr++] = devs[j];
				} else {
					fprintf(stderr, "\nclGetDeviceInfo returned a device type that is not supported by the Solver.\n");
					exit(-1);
				}
			}
			free(devs);
		}
	}
	free(platfs);

	if (N_GPUs > gpu_cntr || N_CPUs > cpu_cntr || N_ACCs > acc_cntr) {
		fprintf(stderr, "\nYou are trying to use a device that is not compatible with OpenCL, or that doesn't exist on this machine. "
				"Please check the selected devices.\n");
		exit(-1);
	}

	for (i = 0; i < N_DEVS; i++) {
		// if user wants to use all the devices of a type
		if (DEVICES_INFO[i].dev_type_n == 0) {
			DEVICES_INFO[i].dev_type_n = 1;

			if (DEVICES_INFO[i].type == CL_DEVICE_TYPE_GPU) {
				for (j = 1; j < gpu_cntr; j++) {
					DEVICES_INFO[N_DEVS].dev_type_n = DEVICES_INFO[i].dev_type_n + (int)j;
					DEVICES_INFO[N_DEVS].type = DEVICES_INFO[i].type;
					DEVICES_INFO[N_DEVS].n_wg = DEVICES_INFO[i].n_wg;
					DEVICES_INFO[N_DEVS].n_wi_wg = DEVICES_INFO[i].n_wi_wg;
					N_DEVS++;
				}
			} else if (DEVICES_INFO[i].type == CL_DEVICE_TYPE_CPU) {
				for (j = 1; j < cpu_cntr; j++) {
					DEVICES_INFO[N_DEVS].dev_type_n = DEVICES_INFO[i].dev_type_n + (int)j;
					DEVICES_INFO[N_DEVS].type = DEVICES_INFO[i].type;
					DEVICES_INFO[N_DEVS].n_wg = DEVICES_INFO[i].n_wg;
					DEVICES_INFO[N_DEVS].n_wi_wg = DEVICES_INFO[i].n_wi_wg;
					N_DEVS++;
				}

				all_GPUs = false;

			} else {
				for (j = 1; j < acc_cntr; j++) {
					DEVICES_INFO[N_DEVS].dev_type_n = DEVICES_INFO[i].dev_type_n + (int)j;

					DEVICES_INFO[N_DEVS].type = DEVICES_INFO[i].type;

					DEVICES_INFO[N_DEVS].n_wg = DEVICES_INFO[i].n_wg;
					DEVICES_INFO[N_DEVS].n_wi_wg = DEVICES_INFO[i].n_wi_wg;
					N_DEVS++;
				}

				all_GPUs = false;
			}
		}

		// save the platform_id, device_id and the n_wi_wg (if default) for all the devices to use
		if (DEVICES_INFO[i].type == CL_DEVICE_TYPE_GPU) {

			DEVICES_INFO[i].platform_id = gpu_platf[DEVICES_INFO[i].dev_type_n - 1];

			DEVICES_INFO[i].device_id = gpu_dev[DEVICES_INFO[i].dev_type_n - 1];

		} else if (DEVICES_INFO[i].type == CL_DEVICE_TYPE_CPU) {
			DEVICES_INFO[i].platform_id = cpu_platf[DEVICES_INFO[i].dev_type_n - 1];

			DEVICES_INFO[i].device_id = cpu_dev[DEVICES_INFO[i].dev_type_n - 1];

		} else {
			DEVICES_INFO[i].platform_id = acc_platf[DEVICES_INFO[i].dev_type_n - 1];
			DEVICES_INFO[i].device_id = acc_dev[DEVICES_INFO[i].dev_type_n - 1];
		}

		// get number of compute units on this device

		ret = clGetDeviceInfo(DEVICES_INFO[i].device_id, CL_DEVICE_MAX_COMPUTE_UNITS, sizeof(cl_uint), &DEVICES_INFO[i].compute_units, NULL);
		cl_check_error(ret, "clGetDeviceInfo", "CL_DEVICE_MAX_COMPUTE_UNITS");

		// get maximum cores frequency
		ret = clGetDeviceInfo(DEVICES_INFO[i].device_id, CL_DEVICE_MAX_CLOCK_FREQUENCY, sizeof(cl_uint), &DEVICES_INFO[i].max_freq, NULL);
		cl_check_error(ret, "clGetDeviceInfo", "CL_DEVICE_MAX_CLOCK_FREQUENCY");

		// get the amount of local memory to check if it is enough
		ret = clGetDeviceInfo(DEVICES_INFO[i].device_id, CL_DEVICE_LOCAL_MEM_SIZE, sizeof(DEVICES_INFO[i].local_mem_max_alloc),
				&DEVICES_INFO[i].local_mem_max_alloc, NULL);
		cl_check_error(ret, "clGetDeviceInfo", "CL_DEVICE_LOCAL_MEM_SIZE");

		// set number of work-items and work-groups to use on each device
		if (DEVICES_INFO[i].type == CL_DEVICE_TYPE_GPU) {
				DEVICES_INFO[i].use_local_mem = false;
				DEVICES_INFO[i].def_n_wi_wg = GPU_DEFAULT_N_WI;
				DEVICES_INFO[i].def_n_wg = GPU_DEFAULT_N_WG;

		} else if (DEVICES_INFO[i].type == CL_DEVICE_TYPE_CPU) {
			DEVICES_INFO[i].use_local_mem = true;
			DEVICES_INFO[i].def_n_wi_wg = 1;	// default number of work-items per work-group to use
			DEVICES_INFO[i].def_n_wg = DEVICES_INFO[i].compute_units;	// default number of work-groups to use

		} // MICs

		else {

			DEVICES_INFO[i].use_local_mem = true;

			DEVICES_INFO[i].def_n_wi_wg = 1;	// default number of work-items per work-group to use

			DEVICES_INFO[i].def_n_wg = DEVICES_INFO[i].compute_units;	// default number of work-groups to use
		}

		if (DEVICES_INFO[i].n_wg == 0) {
			DEVICES_INFO[i].n_wg = DEVICES_INFO[i].def_n_wg;
		}
		if (DEVICES_INFO[i].n_wi_wg == 0) {
			DEVICES_INFO[i].n_wi_wg = DEVICES_INFO[i].def_n_wi_wg;

		}

		DEVICES_INFO[i].stores_explored = 0;
		DEVICES_INFO[i].last_1ss_solv_time = 0;

		DEVICES_INFO[i].avg_1ss_solv_time = 0;

		DEVICES_INFO[i].max_1ss_solv_time = 0;
		DEVICES_INFO[i].n_ss_mult = 1;
		DEVICES_INFO[i].rank = 0;
		DEVICES_INFO[i].times_used = 0;

		DEVICES_INFO[i].ms_solve_time = 0;

		DEVICES_INFO[i].first_time_ranked = false;
		DEVICES_INFO[i].props_total = 0;
		DEVICES_INFO[i].last_props = 0;
		DEVICES_INFO[i].avg_time_prop = 0;
		DEVICES_INFO[i].last_time_prop = 0;
		DEVICES_INFO[i].max_time_prop = 0;
		DEVICES_INFO[i].ranked = false;

		DEVICES_INFO[i].working = true;

		DEVICES_INFO[i].last_explor_time = 0;
		DEVICES_INFO[i].n_fast_blocks = 0;
		DEVICES_INFO[i].sols_found = 0;
		DEVICES_INFO[i].n_buffers = 1;
		DEVICES_ARGS[i].split_values_ext = 1;
		DEVICES_INFO[i].exp_values = calloc(N_VS, sizeof(unsigned int));

		DEVICES_INFO[i].n_empty_blocks = 0;

	}

	if (DOMAIN_TYPE == INTERVAL && !CAN_USE_INTERVALS) {
		fprintf(stderr, "\nThe domains of the variables of the current CSP contain non-contiguous values,\n"

				"which are not permitted when using interval domains in PHACT.\n"

				"Please remove \"-INTERVALS\" from the command arguments.\n\n");
		exit(-1);
	}

	// if using intervals convert bitmaps to intervals

	if (DOMAIN_TYPE == INTERVAL) {

		set_interval_domains();
	}

	// Reset variables set for labeling, because some of them may be singleton already and count the number of variables that should be labeled
	N_VS_TO_LABEL = vs_cnt_vs_to_label(VS, N_VS);

	n_vs_cs = (unsigned int)cs_cnt_vs(CS, N_CS);	// count the number of variables in all constraints
	n_cs_vs = vs_cnt_cs(VS, N_VS);	// count the number of constraints in all variables
	n_const_cs = (unsigned int)cs_cnt_constants(CS, N_CS);	// count the number of constants constrained by all the constraints (if more than one)

	if (ASSIGN_MODE == SPLIT_VALS) {
		unsigned int split_values_ext = 1;
		unsigned int n_vals_ctr = 1;
		for (i = 0; i < N_VS; i++) {

			if (VS[i].to_label && VS[i].n_vals > n_vals_ctr) {

				n_vals_ctr = VS[i].n_vals;
			}
		}
		while (((unsigned int)(n_vals_ctr / 2)) > 0) {
			n_vals_ctr /= 2;
			split_values_ext++;
		}
		for (i = 0; i < N_DEVS; i++) {
			DEVICES_ARGS[i].split_values_ext = split_values_ext;
		}
	}

#if SORT_BY_LABEL
	// sort variables by the ones that may be labeled
	vs_sort_label_first(VS, N_VS);

#elif SORT_BY_MOST_USED_CONSTR
	// sort constraints on each variable by the constraint that is more common on the CSP
	vs_sort_constr(VS, N_VS);

#elif SORT_BY_LABEL_MORE_VALS
	// sort variables by the ones that may be labeled and that have more values on their domains
	vs_sort_label_more_vals_first();

#elif SORT_BY_LABEL_LESS_VALS
	// sort variables by the ones that may be labeled and that have more values on their domains
	vs_sort_label_less_vals_first();

#endif

	// split the search space and fill the stores
	split_ss(&depth, &n_ss, (unsigned int)N_VS_TO_LABEL);

	if (N_VS_TO_LABEL == 0) {
		fprintf(stderr, "\nNo CSP variable is marked for labeling. Please mark at least one variable for labeling.\n\n");
		exit(-1);
	}

	// variables that are fully expanded during sub-search spaces creation are already labeled
	N_VS_TO_LABEL -= (int)vs_labeled_at_exp;
	if (N_VS_TO_LABEL <= 0) {

		N_VS_TO_LABEL = 1;

	}

	if (USE_TTL) {
		fprintf(stderr, "\nTTL is enabled inside the kernel.\n\n");

	}

	if (!QUIET) {
		printf("\nSolving the CSP with:\n - Host: %s", host_name);

	}

	if (VERBOSE) {
		if (DOMAIN_TYPE == BITMAP_) {
			printf(" with %d-bits bitmap domains on %d-bits words\n", H_BITS, H_WORD);

		} else if (DOMAIN_TYPE == INTERVAL) {

			printf(" with interval domains\n");
		}
	} else if (!QUIET) {
		printf("\n");
	}

	// set revision to on (REV=1) or off (REV=0) by default. If PRE_LABELING==2, it is set to 1 if any propagator is capable of propagating
	// variables with more than one value in its domain
	if (PRE_LABELING == 0) {
		REV = 0;

	} else if (PRE_LABELING == 1) {
		REV = 1;

	}
	if (!QUIET) {

		printf(" - Device(s) with %s and %s heuristics", get_label_heur(), get_assign_heur());

	}
	if (REV == 1 && !QUIET) {
		printf(" (and revision)");

	}

	if (!QUIET) {
		printf(":\n");
	}

	if (host_name != NULL) {
		free(host_name);
	}

	if (DOMAIN_TYPE == BITMAP_) {
		l_mem_per_wi = (N_VS + 2) * sizeof(cl_ushort) + N_VS * (sizeof(cl_var_p_bitmap) - sizeof(cl_bitmap) + DOMAIN_SIZE);
	} else {
		l_mem_per_wi = (N_VS + 2) * sizeof(cl_ushort) + N_VS * sizeof(cl_var_p_interval);
	}

	// check if memory is enough. If not, reduce the number of wi, and wg if also needed.
	for (i = 0; i < N_DEVS; i++) {

#if USE_LOCAL_MEM == 0

		DEVICES_INFO[i].use_local_mem = false;

#elif USE_LOCAL_MEM == 1

		DEVICES_INFO[i].use_local_mem = true;
#endif

		// get device name

		ret = clGetDeviceInfo(DEVICES_INFO[i].device_id, CL_DEVICE_NAME, 0, NULL, &val_size);

		cl_check_error(ret, "clGetDeviceInfo", "CL_DEVICE_NAME");
		char* aux_name = (char*) malloc(val_size);
		ret = clGetDeviceInfo(DEVICES_INFO[i].device_id, CL_DEVICE_NAME, val_size, aux_name, NULL);

		cl_check_error(ret, "clGetDeviceInfo", "CL_DEVICE_NAME");

		// trim leading spaces on device name
		unsigned int del = 0;

		while (isspace((unsigned char )(aux_name[del])))

			del++;
		DEVICES_INFO[i].dev_name = (char*) malloc(val_size - del);
		strcpy(DEVICES_INFO[i].dev_name, &aux_name[del]);

		free(aux_name);

		if (DEVICES_INFO[i].use_local_mem && DEVICES_INFO[i].local_mem_max_alloc < l_mem_per_wi * DEVICES_INFO[i].n_wi_wg) {
			printf("     Due to the amount of memory required, local memory will not be used in %s.\n", DEVICES_INFO[i].dev_name);
			DEVICES_INFO[i].use_local_mem = false;
		}

		DEVICES_ARGS[i].n_vs_to_label = (unsigned int)N_VS_TO_LABEL;
		DEVICES_ARGS[i].n_vs_cs = n_vs_cs;

		DEVICES_ARGS[i].n_cs_vs = n_cs_vs;

		DEVICES_ARGS[i].n_const_cs = n_const_cs;

		// get the amount of allowable global memory per buffer to check if it is enough (or if more than one buffer is required)

		ret = clGetDeviceInfo(DEVICES_INFO[i].device_id, CL_DEVICE_MAX_MEM_ALLOC_SIZE, sizeof(DEVICES_INFO[i].global_mem_max_alloc),
				&DEVICES_INFO[i].global_mem_max_alloc, NULL);

		cl_check_error(ret, "clGetDeviceInfo", "CL_DEVICE_MAX_MEM_ALLOC_SIZE");

		// get the size of the global memory

		ret = clGetDeviceInfo(DEVICES_INFO[i].device_id, CL_DEVICE_GLOBAL_MEM_SIZE, sizeof(DEVICES_INFO[i].global_mem_size),

				&DEVICES_INFO[i].global_mem_size, NULL);
		cl_check_error(ret, "clGetDeviceInfo", "CL_DEVICE_GLOBAL_MEM_SIZE");

		// get the maximum size of each constant memory buffer to check if it is enough

		ret = clGetDeviceInfo(DEVICES_INFO[i].device_id, CL_DEVICE_MAX_CONSTANT_BUFFER_SIZE, sizeof(DEVICES_INFO[i].constant_mem_max_alloc),

				&DEVICES_INFO[i].constant_mem_max_alloc, NULL);
		cl_check_error(ret, "clGetDeviceInfo", "CL_DEVICE_MAX_CONSTANT_BUFFER_SIZE");

		size_t n_wg_init = DEVICES_INFO[i].n_wg;
		size_t n_wi_wg_init = DEVICES_INFO[i].n_wi_wg;

		if (DEVICES_INFO[i].use_local_mem) {
			// set buffers size and check if global memory is enough

			DEVICES_INFO[i].n_wi_wg++;

			do {
				DEVICES_INFO[i].n_wi_wg--;

				// number of work-items that will be created on this device

				DEVICES_ARGS[i].wi_local = DEVICES_INFO[i].n_wi_wg;
				DEVICES_ARGS[i].wi_total = DEVICES_INFO[i].n_wg * DEVICES_INFO[i].n_wi_wg;

				set_buffs_size(&DEVICES_ARGS[i], &DEVICES_INFO[i], filtering);

#if USE_MORE_BUFFERS
			} while (DEVICES_INFO[i].global_mem_used > (double)DEVICES_INFO[i].global_mem_size * USE_MORE_BUFFERS_P && DEVICES_INFO[i].n_wi_wg > 1);
#else
			} while (DEVICES_INFO[i].global_mem_used > DEVICES_INFO[i].global_mem_max_alloc && DEVICES_INFO[i].n_wi_wg > 1);
#endif

#if USE_MORE_BUFFERS

			// if global memory not enough for 1 wi_wg, exit

			if (DEVICES_INFO[i].n_wi_wg == 1 && DEVICES_INFO[i].global_mem_used > (double)DEVICES_INFO[i].global_mem_size * USE_MORE_BUFFERS_P) {
#else
			// if global memory not enough for 1 wi_wg, exit
			if (DEVICES_INFO[i].n_wi_wg == 1 && DEVICES_INFO[i].global_mem_used > DEVICES_INFO[i].global_mem_max_alloc) {
#endif
				DEVICES_INFO[i].n_wg++;
				do {

					DEVICES_INFO[i].n_wg--;

					// number of work-items that will be created on this device
					DEVICES_ARGS[i].wi_local = DEVICES_INFO[i].n_wi_wg;
					DEVICES_ARGS[i].wi_total = DEVICES_INFO[i].n_wg * DEVICES_INFO[i].n_wi_wg;

					set_buffs_size(&DEVICES_ARGS[i], &DEVICES_INFO[i], filtering);
#if USE_MORE_BUFFERS
				} while (DEVICES_INFO[i].global_mem_used > (double)DEVICES_INFO[i].global_mem_size * USE_MORE_BUFFERS_P && DEVICES_INFO[i].n_wg > 1);

#else

				} while (DEVICES_INFO[i].global_mem_used > DEVICES_INFO[i].global_mem_max_alloc && DEVICES_INFO[i].n_wg > 1);

#endif
			}
		} else {

			DEVICES_INFO[i].n_wg++;

			do {

				DEVICES_INFO[i].n_wg--;

				// number of work-items that will be created on this device

				DEVICES_ARGS[i].wi_local = DEVICES_INFO[i].n_wi_wg;

				DEVICES_ARGS[i].wi_total = DEVICES_INFO[i].n_wg * DEVICES_INFO[i].n_wi_wg;

				set_buffs_size(&DEVICES_ARGS[i], &DEVICES_INFO[i], filtering);

			}

#if USE_MORE_BUFFERS
			while (DEVICES_INFO[i].global_mem_used > (double)DEVICES_INFO[i].global_mem_size * USE_MORE_BUFFERS_P && DEVICES_INFO[i].n_wg > 128);
#else
			while (DEVICES_INFO[i].global_mem_used > DEVICES_INFO[i].global_mem_max_alloc && DEVICES_INFO[i].n_wg > 128);
#endif

			if (DEVICES_INFO[i].n_wg <= 128 && DEVICES_INFO[i].global_mem_used > DEVICES_INFO[i].global_mem_max_alloc) {
				DEVICES_INFO[i].n_wi_wg++;

				do {

					DEVICES_INFO[i].n_wi_wg--;

					// number of work-items that will be created on this device
					DEVICES_ARGS[i].wi_local = DEVICES_INFO[i].n_wi_wg;

					DEVICES_ARGS[i].wi_total = DEVICES_INFO[i].n_wg * DEVICES_INFO[i].n_wi_wg;

					set_buffs_size(&DEVICES_ARGS[i], &DEVICES_INFO[i], filtering);
				}
#if USE_MORE_BUFFERS
				while (DEVICES_INFO[i].global_mem_used > (double)DEVICES_INFO[i].global_mem_size * USE_MORE_BUFFERS_P && DEVICES_INFO[i].n_wi_wg > 1);
#else
				while (DEVICES_INFO[i].global_mem_used > DEVICES_INFO[i].global_mem_max_alloc && DEVICES_INFO[i].n_wi_wg > 1);

#endif

			}

#if USE_MORE_BUFFERS
			if (DEVICES_INFO[i].n_wg <= 128 && DEVICES_INFO[i].global_mem_used > (double)DEVICES_INFO[i].global_mem_size * USE_MORE_BUFFERS_P && DEVICES_INFO[i].n_wi_wg == 1) {
#else
			if (DEVICES_INFO[i].n_wg <= 128 && DEVICES_INFO[i].global_mem_used > DEVICES_INFO[i].global_mem_max_alloc && DEVICES_INFO[i].n_wi_wg == 1) {
#endif

				DEVICES_INFO[i].n_wg++;

				do {
					DEVICES_INFO[i].n_wg--;

					// number of work-items that will be created on this device

					DEVICES_ARGS[i].wi_local = DEVICES_INFO[i].n_wi_wg;

					DEVICES_ARGS[i].wi_total = DEVICES_INFO[i].n_wg * DEVICES_INFO[i].n_wi_wg;

					set_buffs_size(&DEVICES_ARGS[i], &DEVICES_INFO[i], filtering);
				}
#if USE_MORE_BUFFERS
				while (DEVICES_INFO[i].global_mem_used > (double)DEVICES_INFO[i].global_mem_size * USE_MORE_BUFFERS_P && DEVICES_INFO[i].n_wg > 1);
#else
				while (DEVICES_INFO[i].global_mem_used > DEVICES_INFO[i].global_mem_max_alloc && DEVICES_INFO[i].n_wg > 1);
#endif
			}
		}

		if (n_wg_init != DEVICES_INFO[i].n_wg) {
			printf("     Due to the amount of memory required, the number of work-groups was reduced in %s.\n", DEVICES_INFO[i].dev_name);
		}

		if (n_wi_wg_init != DEVICES_INFO[i].n_wi_wg) {
			printf("     Due to the amount of memory required, the number of work-items per work-group was reduced in %s.\n", DEVICES_INFO[i].dev_name);
		}

#if USE_MORE_BUFFERS
		// if global memory not enough for 1 wi_wg and 1 wg, exit
		if (DEVICES_INFO[i].global_mem_used > (double)DEVICES_INFO[i].global_mem_size * USE_MORE_BUFFERS_P) {
			fprintf(stderr, "\nPHACT is trying to use more global memory (%lu Mb) than the amount available (%f Mb) on %s (%d) with %lu "
					"work-item(s) and %lu work-group(s).\n If possible, please reduce the amount of work-items per work-group to use.",
					DEVICES_INFO[i].global_mem_used / 1000000, (double)DEVICES_INFO[i].global_mem_size * USE_MORE_BUFFERS_P / 1000000, DEVICES_INFO[i].dev_name,

					DEVICES_INFO[i].dev_type_n, DEVICES_INFO[i].n_wg, DEVICES_INFO[i].n_wi_wg);

			exit(-1);
		}
#else
		// if global memory not enough for 1 wi_wg and 1 wg, exit
		if (DEVICES_INFO[i].global_mem_used > DEVICES_INFO[i].global_mem_max_alloc) {
			fprintf(stderr, "\nPHACT is trying to use more global memory (%lu Mb) than the amount available (%lu Mb) on %s (%d) with %lu "
					"work-item(s) and %lu work-group(s).\n If possible, please reduce the amount of work-items per work-group to use.",

					DEVICES_INFO[i].global_mem_used / 1000000, DEVICES_INFO[i].global_mem_max_alloc / 1000000, DEVICES_INFO[i].dev_name,

					DEVICES_INFO[i].dev_type_n, DEVICES_INFO[i].n_wg, DEVICES_INFO[i].n_wi_wg);

			exit(-1);

		}

#endif

#if USE_MORE_BUFFERS

		// calculate the number of buffers that are needed and divide the work-groups and work-items per them
		if (DEVICES_INFO[i].global_mem_used > DEVICES_INFO[i].global_mem_max_alloc) {

			DEVICES_INFO[i].n_buffers = (unsigned int)ceil(((double)DEVICES_INFO[i].global_mem_used * 1.0) / (double)DEVICES_INFO[i].global_mem_max_alloc);

			// ensures that the buffers are enough

			if (DEVICES_INFO[i].n_buffers > DEVICES_INFO[i].global_mem_size / DEVICES_INFO[i].global_mem_max_alloc) {

				DEVICES_INFO[i].n_wg--;
			}
			// for less calculations, all buffers must be assigned to the same number of work-groups
			while (DEVICES_INFO[i].n_wg % DEVICES_INFO[i].n_buffers > 0) {
				DEVICES_INFO[i].n_wg--;
			}

			DEVICES_ARGS[i].backtrack_size = (unsigned int)ceil(((double)DEVICES_ARGS[i].backtrack_size * 1.0) / (double)DEVICES_INFO[i].n_buffers);
		}
#endif

		if (!QUIET) {
			printf("   - %s (%d) with %lu work-group(s) and %lu work-items(s) per work-group", DEVICES_INFO[i].dev_name, DEVICES_INFO[i].dev_type_n,
					DEVICES_INFO[i].n_wg, DEVICES_INFO[i].n_wi_wg);
		}

		if (VERBOSE) {
			if (DEVICES_INFO[i].use_local_mem) {

				printf(", local memory");
			}

#if USE_MORE_BUFFERS
			if ((double)DEVICES_INFO[i].global_mem_used / 1000000.0 > 1.0) {
				printf(", %.02f Mb (%u buffer(s)) of global memory (Max. %.02f Mb) and", (double)DEVICES_INFO[i].global_mem_used / 1000000.0, DEVICES_INFO[i].n_buffers,
						(double)DEVICES_INFO[i].global_mem_size * USE_MORE_BUFFERS_P / 1000000.0);
			} else {
				printf(", %.02f Kb (%u buffer(s)) of global memory (Max. %.02f Mb) and", (double)DEVICES_INFO[i].global_mem_used / 1000.0, DEVICES_INFO[i].n_buffers,
						(double)DEVICES_INFO[i].global_mem_size * USE_MORE_BUFFERS_P / 1000000.0);
			}

#else

			if ((double)DEVICES_INFO[i].global_mem_used / 1000000.0 > 1.0) {

				printf(", %.02f Mb of global memory (Max. %.02f Mb) and", (double)DEVICES_INFO[i].global_mem_used / 1000000.0, (double)DEVICES_INFO[i].global_mem_max_alloc / 1000000.0);

			} else {

				printf(", %.02f Kb of global memory (Max. %.02f Mb) and", (double)DEVICES_INFO[i].global_mem_used / 1000.0, (double)DEVICES_INFO[i].global_mem_max_alloc / 1000000.0);

			}
#endif

			if (DOMAIN_TYPE == BITMAP_) {

				printf(" %d-bits bitmap domains on %d-bits words", CL_BITS_, CL_WORD_);

			} else if (DOMAIN_TYPE == INTERVAL) {
				printf(" interval domains");
			}

#if SHARED_SS > 0

			printf(" and %d shared sub-search spaces", DEVICES_ARGS[i].n_shared_stores);
#endif

		}

		if (!QUIET) {

			printf("\n");

		}

	}

	// calculate the expected speed when comparing the hardware of all the used devices

	calculate_rel_expect_speed(DEVICES_INFO);

	// set amount of sub-search spaces to send to each device at the beginning
	for (i = 0; i < N_DEVS; i++) {
		DEVICES_INFO[i].n_ss_mult_max = mult_max;

		// set n_ss_mult_max to the device number of cores
		if (mult_max > DEVICES_INFO[i].n_wi_wg * DEVICES_INFO[i].n_wg) {

			DEVICES_INFO[i].n_ss_mult_max = (unsigned int)(DEVICES_INFO[i].n_wi_wg * DEVICES_INFO[i].n_wg);

		}

		if (DEVICES_INFO[i].n_ss_mult_max > DEVICES_INFO[i].compute_units * 32) {

			if (DEVICES_INFO[i].type == CL_DEVICE_TYPE_GPU) {
				DEVICES_INFO[i].n_ss_mult_max = DEVICES_INFO[i].compute_units * 32;

			} else {
				DEVICES_INFO[i].n_ss_mult_max = DEVICES_INFO[i].compute_units;
			}

		}

		if (N_DEVS == 1) {

			DEVICES_INFO[i].block_size = n_ss;

		} else if (WORK == CNT) {
			DEVICES_INFO[i].block_size = (unsigned int)(n_ss * CNT_INIT_PERC * DEVICES_INFO[i].rel_speed_expect);

			// WORK == ONE or OPT

		} else {
			DEVICES_INFO[i].block_size = (unsigned int)(n_ss * OPT_ONE_INIT_PERC * DEVICES_INFO[i].rel_speed_expect);

		}

		if (DEVICES_INFO[i].block_size == 0) {

			DEVICES_INFO[i].block_size = 1;
		}

// multiplier for first block of sub-search spaces
#if SS_MULTIPLIER
	if (DEVICES_INFO[i].block_size > 0) {
		//GPU
		if (DEVICES_INFO[i].type == CL_DEVICE_TYPE_GPU && DEVICES_INFO[i].block_size < SS_GPU / (double)(GPU_DEFAULT_N_WI / DEVICES_INFO[i].n_wi_wg)
				/ (GPU_DEFAULT_N_WG / (double)DEVICES_INFO[i].n_wg * 1.0)) {

			DEVICES_INFO[i].n_ss_mult = (unsigned int)(SS_GPU / (GPU_DEFAULT_N_WI / (double)DEVICES_INFO[i].n_wi_wg * 1.0) / (double)(GPU_DEFAULT_N_WG / (double)DEVICES_INFO[i].n_wg * 1.0))
					/ DEVICES_INFO[i].block_size;
		// ACC

		} else if (DEVICES_INFO[i].type == CL_DEVICE_TYPE_ACCELERATOR && DEVICES_INFO[i].block_size < SS_ACC / (DEVICES_INFO[i].compute_units / (double)DEVICES_INFO[i].n_wg * 1.0)) {
			DEVICES_INFO[i].n_ss_mult = (unsigned int)(SS_ACC / (DEVICES_INFO[i].compute_units / (double)DEVICES_INFO[i].n_wg * 1.0) / DEVICES_INFO[i].block_size);

		// CPU
		} else if (DEVICES_INFO[i].type == CL_DEVICE_TYPE_CPU && DEVICES_INFO[i].block_size < SS_CPU * DEVICES_INFO[i].compute_units / (DEVICES_INFO[i].compute_units
				/ (double)DEVICES_INFO[i].n_wg * 1.0)) {
			DEVICES_INFO[i].n_ss_mult = (unsigned int)((SS_CPU * DEVICES_INFO[i].compute_units) / (double)(DEVICES_INFO[i].compute_units / (double)DEVICES_INFO[i].n_wg * 1.0) / DEVICES_INFO[i].block_size);
		}

		if (DEVICES_INFO[i].n_ss_mult > mult_max) {
			DEVICES_INFO[i].n_ss_mult = mult_max;
		} else if (DEVICES_INFO[i].n_ss_mult == 0) {
			DEVICES_INFO[i].n_ss_mult = 1;
		}
	}
#endif

		DEVICES_INFO[i].first_block_size = DEVICES_INFO[i].block_size;

		if (PRINT_SOLUTIONS && DEVICES_INFO[i].n_wi_wg * DEVICES_INFO[i].n_wg > 1) {

			fprintf(stderr, "The solutions will not be printed because one or more devices will be running more than one thread.\n\n");
			PRINT_SOLUTIONS = false;
		}
	}

	if (!QUIET) {
		printf("\nTotal sub-search spaces: %u\n\n", n_ss);
	}

	// create one thread per device to solve different sub-search spaces in parallel
	pthread_t* threads = malloc(N_DEVS * sizeof(pthread_t));
	threads_data* thread_data = malloc(N_DEVS * sizeof(threads_data));
	void* t_result;
	cl_ulong* results = malloc(N_DEVS * sizeof(cl_ulong));

	if (N_DEVS > 1) {
		if (WORK == OPT && pthread_mutex_init(&opt_lock, NULL) != 0) {
			fprintf(stderr, "ERROR: threads opt_lock not created\n");
			exit(-1);
		}
		if (pthread_mutex_init(&stats_lock, NULL) != 0) {
			fprintf(stderr, "ERROR: threads stats_lock not created\n");

			exit(-1);

		}
	}

	if (WORK == OPT) {
		VS_LOCK[VAR_ID_TO_OPT].min = VS[VAR_ID_TO_OPT].min;
		VS_LOCK[VAR_ID_TO_OPT].max = VS[VAR_ID_TO_OPT].max;
		VS_LOCK_BEST[VAR_ID_TO_OPT].min = VS[VAR_ID_TO_OPT].min;
		VS_LOCK_BEST[VAR_ID_TO_OPT].max = VS[VAR_ID_TO_OPT].max;
	}

	devs_working = N_DEVS;

	if (N_DEVS > 1) {
		pthread_barrier_init(&barrier, NULL, N_DEVS);
	}

	for (i = 0; i < N_DEVS; i++) {

		thread_data[i].depth = depth;
		thread_data[i].dev_info = DEVICES_INFO;
		thread_data[i].dev_args = DEVICES_ARGS;
		thread_data[i].dev_number = i;
		thread_data[i].next_str = &next_str;
		thread_data[i].val_to_opt = &VAL_TO_OPT;
		thread_data[i].sol_found = &sol_found;
		thread_data[i].n_ss = n_ss;
		thread_data[i].platform_args = platform_args;

		if (N_DEVS > 1) {

			thread_ret = pthread_create(&threads[i], NULL, solve_on_device, (void *) &thread_data[i]);
			if (thread_ret) {

				fprintf(stderr, "ERROR: return code from pthread_create devices threads is %d\n", thread_ret);
				exit(-1);
			}
		} else {

			result = (cl_ulong) solve_on_device(thread_data);

			results[0] = result;

		}
	}

	if (N_DEVS > 1) {
		// sum the result from all devices
		for (i = 0; i < N_DEVS; i++) {

			pthread_join(threads[i], &t_result);

			results[i] = (unsigned long)(intptr_t)t_result;
			result += results[i];
		}
	}

	if (N_DEVS > 1) {

		if (WORK == OPT) {

			pthread_mutex_destroy(&opt_lock);
		}
		pthread_mutex_destroy(&stats_lock);
	}

	if (!QUIET) {
		printf("\n");

	}

	for (i = 0; i < N_DEVS; i++) {
		STATS.solve_time += DEVICES_INFO[i].ms_solve_time;
		STATS.n_solutions += results[i];

		if (!QUIET) {
			if (DEVICES_INFO[i].stores_explored != 0) {

				printf("%s (%d) took %lu ms to found %lu solution(s) on %d store(s)", DEVICES_INFO[i].dev_name, DEVICES_INFO[i].dev_type_n,

						DEVICES_INFO[i].ms_solve_time, results[i], DEVICES_INFO[i].stores_explored);

				if ( DEVICES_INFO[i].times_used > 1) {

					printf(" split in %u blocks,", DEVICES_INFO[i].times_used);
				}
				printf(" with an average %.03f ms per sub-search space\n", DEVICES_INFO[i].avg_1ss_solv_time);

			} else {
				printf("The other devices solved the CSP before %s (%d) could began\n", DEVICES_INFO[i].dev_name, DEVICES_INFO[i].dev_type_n);
			}
		}
	}

	// Compare the finish time between the first and the last device
	if (VERBOSE && N_DEVS > 1) {
		cl_ulong ms_first = DEVICES_INFO[0].ms_finish_time;
		cl_ulong ms_last = ms_first;
		unsigned int first_dev = 0;
		unsigned int last_dev = 0;

		for (i = 1; i < N_DEVS; i++) {
			if (DEVICES_INFO[i].ms_finish_time < ms_first) {
				ms_first = DEVICES_INFO[i].ms_finish_time;
				first_dev = i;
			} else if (DEVICES_INFO[i].ms_finish_time > ms_last) {
				ms_last = DEVICES_INFO[i].ms_finish_time;
				last_dev = i;
			}
		}

		printf("%s (%d) finished %lu ms before %s (%d)\n", DEVICES_INFO[first_dev].dev_name, DEVICES_INFO[first_dev].dev_type_n, ms_last - ms_first,

				DEVICES_INFO[last_dev].dev_name, DEVICES_INFO[last_dev].dev_type_n);
	}

	for (i = 0; i < N_DEVS; i++) {
		free(DEVICES_INFO[i].exp_values);
	}

	free(platform_args);
	free(threads);
	free(thread_data);
	free(results);

	if (WORK == OPT) {
		if (DOMAIN_TYPE == BITMAP_) {

			for (i = 0; i < N_VS; i++) {
				b_copy(&VS[i].domain_b, &VS_LOCK_BEST[i].domain_b);

			}
		} else {

			for (i = 0; i < N_VS; i++) {

				VS[i].domain_i = VS_LOCK_BEST[i].domain_i;
			}
		}

		for (i = 0; i < N_VS; i++) {
			VS[i].max = VS_LOCK_BEST[i].max;
			VS[i].min = VS_LOCK_BEST[i].min;
			VS[i].n_vals = VS_LOCK_BEST[i].n_vals;
		}
	}

#if VERIFY_SOL
	// If only one solution or best is to be found, but is incorrect
	if ((WORK == ONE || WORK == OPT) && result > 0) {

		result = cs_check(true);
	}

#endif

	if (!QUIET) {
		printf("\n");
	}

	// when more than one device finds a solution and only one is wanted, set result to 1, as only one solution is saved
	if (WORK != CNT && result > 1) {
		result = 1;

	}

	// remove solutions from backtracking count

	if (PRINT_STATS) {

		if (STATS.backtracks > result - 1) {

			STATS.backtracks -= result - 1;
		}
	}

	return result;
}

/*

 * Filter the CSP by pruning values from the variables, when possible, and without labeling

 * Use 1 thread on the CPU
 * Return true if CSP is consistent after filtering

 * */

bool filter_CSP() {

	best_sols_found = 1;	// counter for number of best solutions found

	cl_ulong result = 0;	// Number of solutions found, or 0 or 1 if only one solution is wanted

	unsigned char sol_found = 0;	// To set to 1 when only one solution is wanted and is found (atomic read and write)
	unsigned int n_vs_cs;	// number of all variables in all constraints
	unsigned int n_cs_vs;	// number of all constraints in all variables
	unsigned int n_const_cs;	// number of all constant values in all constraints with more than one constant value
	unsigned int next_str = 0;	// Index in stores where the next unexplored sub-search space is placed (atomic read and write)
	size_t l_mem_per_wi;	// size in bytes of the local memory needed per work-item
	char* host_name = NULL;
	unsigned int n_ss = 1;		// Number of sub-search spaces created
	unsigned int depth = 0;		// Tree expansion depth needed to get n_ss disjoint search spaces

	unsigned int i, j;

	char* aux_name;

	filtering = true;

	STATS.n_solutions = 0;

	device_info filt_dev_info;
	device_args filt_dev_args;
	platf_args* platform_args;		// each platform arguments for all devices of the same platform

	cl_platform_id* platfs = NULL;		// to save all devices cl_platform_id

	cl_device_id* devs = NULL;		// to save all devices cl_device_id
	cl_uint platf_cnt = 0;			// number of platforms (Intel, Nvidia...)
	cl_uint dev_cnt = 0;			// number of devices on each platform (CPU, MIC...)
	cl_int ret;		// output of clGetPlatformIDs and clGetDeviceIDs
	size_t val_size;

	// Use command line heuristics for labeling and assignment, if existent

	// if not use default
	if (LABEL_MODE_COM != DEFAULT_L) {

		LABEL_MODE = LABEL_MODE_COM;

	} else if (LABEL_MODE == DEFAULT_L) {
		LABEL_MODE = LABEL_MODE_D;
	}

	if (ASSIGN_MODE_COM != DEFAULT_A) {

		ASSIGN_MODE = ASSIGN_MODE_COM;

	} else if (ASSIGN_MODE == DEFAULT_A) {
		ASSIGN_MODE = ASSIGN_MODE_D;
	}

	init_csp_and_d_bits();

	// discover all platforms (Intel, Nvidia, AMD,...)

	ret = clGetPlatformIDs(0, NULL, &platf_cnt);
	cl_check_error(ret, "clGetPlatformIDs", "discovering devices");

	platfs = (cl_platform_id*) malloc(platf_cnt * sizeof(cl_platform_id));

	ret = clGetPlatformIDs(platf_cnt, platfs, NULL);
	cl_check_error(ret, "clGetPlatformIDs", "discovering devices");

	platform_args = (platf_args*) malloc(platf_cnt * sizeof(platf_args));

	// for each platform
	for (i = 0; i < platf_cnt; i++) {

		// discover the first CPU

		ret = clGetDeviceIDs(platfs[i], CL_DEVICE_TYPE_CPU, 0, NULL, &dev_cnt);
		devs = (cl_device_id*) malloc(sizeof(cl_device_id) * dev_cnt);
		ret = clGetDeviceIDs(platfs[i], CL_DEVICE_TYPE_CPU, dev_cnt, devs, NULL);

		platform_args[i].platform_id = platfs[i];

		platform_args[i].n_devs = dev_cnt;

		// for each device

		for (j = 0; j < dev_cnt; j++) {
			// Identify the type of device (GPU, CPU, MIC,...)

			cl_device_type cl_device_type;

			ret = clGetDeviceInfo(devs[j], CL_DEVICE_TYPE, sizeof(cl_device_type), &cl_device_type, NULL);
			cl_check_error(ret, "clGetDeviceInfo", "CL_DEVICE_TYPE");

			filt_dev_info.device_id = devs[j];
			filt_dev_info.platform_id = platfs[i];
			filt_dev_info.type = CL_DEVICE_TYPE_CPU;
			filt_dev_info.dev_type_n = 1;
			filt_dev_info.n_wg = 1;
			filt_dev_info.n_wi_wg = 1;
			filt_dev_info.use_local_mem = true;
			filt_dev_info.def_n_wi_wg = 1;
			filt_dev_info.def_n_wg = 1;
			filt_dev_info.stores_explored = 0;
			filt_dev_info.last_1ss_solv_time = 0;

			filt_dev_info.avg_1ss_solv_time = 0;

			filt_dev_info.max_1ss_solv_time = 0;
			filt_dev_info.n_ss_mult = 1;

			filt_dev_info.rank = 0;

			filt_dev_info.times_used = 0;

			filt_dev_info.ms_solve_time = 0;
			filt_dev_info.first_time_ranked = false;
			filt_dev_info.props_total = 0;

			filt_dev_info.last_props = 0;

			filt_dev_info.avg_time_prop = 0;
			filt_dev_info.last_time_prop = 0;
			filt_dev_info.max_time_prop = 0;
			filt_dev_info.ranked = false;

			filt_dev_info.working = true;

			filt_dev_info.last_explor_time = 0;
			filt_dev_info.n_fast_blocks = 0;
			filt_dev_info.sols_found = 0;
			filt_dev_info.n_buffers = 1;
			filt_dev_info.exp_values = calloc(N_VS, sizeof(unsigned int));
			filt_dev_info.n_empty_blocks = 0;

			filt_dev_args.split_values_ext = 1;

			// get device name

			ret = clGetDeviceInfo(devs[j], CL_DEVICE_NAME, 0, NULL, &val_size);

			cl_check_error(ret, "clGetDeviceInfo", "CL_DEVICE_NAME");

			aux_name = (char*) malloc(val_size);
			ret = clGetDeviceInfo(devs[j], CL_DEVICE_NAME, val_size, aux_name, NULL);
			cl_check_error(ret, "clGetDeviceInfo", "CL_DEVICE_NAME");

			// get the amount of local memory to check if it is enough
			ret = clGetDeviceInfo(filt_dev_info.device_id, CL_DEVICE_LOCAL_MEM_SIZE, sizeof(filt_dev_info.local_mem_max_alloc),

					&filt_dev_info.local_mem_max_alloc, NULL);

			cl_check_error(ret, "clGetDeviceInfo", "CL_DEVICE_LOCAL_MEM_SIZE");

			// trim leading spaces on device name
			unsigned int del = 0;
			while (isspace((unsigned char )(aux_name[del])))
				del++;
			host_name =  (char*) malloc(val_size - del);
			strcpy(host_name, &aux_name[del]);

			filt_dev_info.dev_name = (char*) malloc(val_size - del);
			strcpy(filt_dev_info.dev_name, &aux_name[del]);

			free(aux_name);

			j++;
			break;
		}

		if (j > 0) {
			break;
		}

	}

	free(devs);
	free(platfs);

	if (j == 0) {

		fprintf(stderr, "\nThis machine does not have a CPU for filtering the CSP.\n");
		return false;
	}

	// if using intervals convert bitmaps to intervals

	if (DOMAIN_TYPE == INTERVAL) {
		set_interval_domains();
	}

	// Reset variables set for labeling, because some of them may be singleton already and count the number of variables that should be labeled
	N_VS_TO_LABEL = vs_cnt_vs_to_label(VS, N_VS);

	n_vs_cs = (unsigned int)cs_cnt_vs(CS, N_CS);	// count the number of variables in all constraints

	n_cs_vs = vs_cnt_cs(VS, N_VS);	// count the number of constraints in all variables

	n_const_cs = (unsigned int)cs_cnt_constants(CS, N_CS);	// count the number of constants constrained by all the constraints (if more than one)

	if (ASSIGN_MODE == SPLIT_VALS) {
		unsigned int split_values_ext = 1;
		unsigned int n_vals_ctr = 1;

		for (i = 0; i < N_VS; i++) {

			if (VS[i].to_label && VS[i].n_vals > n_vals_ctr) {
				n_vals_ctr = VS[i].n_vals;
			}
		}
		while (((unsigned int)(n_vals_ctr / 2)) > 0) {
			n_vals_ctr /= 2;
			split_values_ext++;
		}
		filt_dev_args.split_values_ext = split_values_ext;
	}

	if (N_VS_TO_LABEL == 0) {
		fprintf(stderr, "\nNo CSP variable is marked for labeling. Please mark at least one variable for labeling.\n\n");
		exit(-1);

	}

	// variables that are fully expanded during sub-search spaces creation are already labeled
	if (N_VS_TO_LABEL <= 0) {
		N_VS_TO_LABEL = 1;
	}

	if (USE_TTL) {

		fprintf(stderr, "\nTTL is enabled inside the kernel.\n\n");
	}

	if (!QUIET) {
		printf("\nFiltering the CSP with 1 thread of %s", host_name);

	}

	// set revision to on (REV=1) or off (REV=0) by default. If PRE_LABELING==2, it is set to 1 if any propagator is capable of propagating
	// variables with more than one value in its domain
	if (PRE_LABELING == 0) {

		REV = 0;
	} else if (PRE_LABELING == 1) {
		REV = 1;

	}
	if (!QUIET) {
		printf(" with %s and %s heuristics", get_label_heur(), get_assign_heur());
	}
	if (REV == 1 && !QUIET) {

		printf(" (and revision)");
	}

	if (host_name != NULL) {
		free(host_name);

	}

	if (DOMAIN_TYPE == BITMAP_) {
		l_mem_per_wi = (N_VS + 3) * sizeof(cl_ushort) + N_VS * (sizeof(cl_var_p_bitmap) - sizeof(cl_bitmap) + DOMAIN_SIZE);

	} else {
		l_mem_per_wi = (N_VS + 3) * sizeof(cl_ushort) + N_VS * sizeof(cl_var_p_interval);
	}

	// check if memory is enough. If not, reduce the number of wi, and wg if also needed.
#if USE_LOCAL_MEM == 0
		filt_dev_info.use_local_mem = false;
#elif USE_LOCAL_MEM == 1
		filt_dev_info.use_local_mem = true;
#endif

	if (filt_dev_info.use_local_mem && filt_dev_info.local_mem_max_alloc < l_mem_per_wi) {
		printf("\nDue to the amount of memory required, local memory will not be used in %s.\n", filt_dev_info.dev_name);
		filt_dev_info.use_local_mem = false;
	}

	filt_dev_args.n_vs_to_label = (unsigned int)N_VS_TO_LABEL;
	filt_dev_args.n_vs_cs = n_vs_cs;
	filt_dev_args.n_cs_vs = n_cs_vs;
	filt_dev_args.n_const_cs = n_const_cs;

	// get the amount of global memory to check if it is enough
	ret = clGetDeviceInfo(filt_dev_info.device_id, CL_DEVICE_MAX_MEM_ALLOC_SIZE, sizeof(filt_dev_info.global_mem_max_alloc),
			&filt_dev_info.global_mem_max_alloc, NULL);
	cl_check_error(ret, "clGetDeviceInfo", "CL_DEVICE_MAX_MEM_ALLOC_SIZE");

	// get the maximum size of each constant memory buffer to check if it is enough
	ret = clGetDeviceInfo(filt_dev_info.device_id, CL_DEVICE_MAX_CONSTANT_BUFFER_SIZE, sizeof(filt_dev_info.constant_mem_max_alloc),
			&filt_dev_info.constant_mem_max_alloc, NULL);
	cl_check_error(ret, "clGetDeviceInfo", "CL_DEVICE_MAX_CONSTANT_BUFFER_SIZE");

	// number of work-items that will be created on this device
	filt_dev_args.wi_local = filt_dev_info.n_wi_wg;
	filt_dev_args.wi_total = filt_dev_info.n_wg * filt_dev_info.n_wi_wg;

	set_buffs_size(&filt_dev_args, &filt_dev_info, filtering);

	if (filt_dev_info.global_mem_used > filt_dev_info.global_mem_max_alloc) {

		fprintf(stderr, "\nPHACT is trying to use more global memory (%lu Mb) than the amount available (%lu Mb) on %s (%d)\n",
				filt_dev_info.global_mem_used / 1000000, filt_dev_info.global_mem_max_alloc / 1000000, filt_dev_info.dev_name,
				filt_dev_info.dev_type_n);

		exit(-1);
	}

	if (VERBOSE) {
		if (filt_dev_info.use_local_mem) {
			printf(", local memory");
		}

		if ((double)filt_dev_info.global_mem_used / 1000000.0 > 1.0) {
			printf(", %.02f Mb of global memory (Max. %.02f Mb) and", (double)filt_dev_info.global_mem_used / 1000000.0, (double)filt_dev_info.global_mem_max_alloc / 1000000.0);
		} else {
			printf(", %.02f Kb of global memory (Max. %.02f Mb) and", (double)filt_dev_info.global_mem_used / 1000.0, (double)filt_dev_info.global_mem_max_alloc / 1000000.0);
		}

		if (DOMAIN_TYPE == BITMAP_) {
			printf(" %d-bits bitmap domains on %d-bits words", CL_BITS_, CL_WORD_);
		} else if (DOMAIN_TYPE == INTERVAL) {
			printf(" interval domains");
		}
#if SHARED_SS > 0
		printf(" and %d shared sub-search spaces", DEVICES_ARGS[i].n_shared_stores);
#endif

	}
	if (!QUIET) {
		printf("\n\n");
	}

	filt_dev_info.n_ss_mult_max = mult_max;
	filt_dev_info.block_size = n_ss;
	filt_dev_info.n_ss_mult = 1;
	filt_dev_info.n_ss_mult_max = 1;
	filt_dev_info.first_block_size = 1;
	filt_dev_info.block_size = 1;

	// create one thread for the CPU
	threads_data thread_data;

	devs_working = 1;

	thread_data.depth = depth;
	thread_data.dev_info = &filt_dev_info;
	thread_data.dev_args = &filt_dev_args;
	thread_data.dev_number = 0;
	thread_data.next_str = &next_str;
	thread_data.val_to_opt = &VAL_TO_OPT;
	thread_data.sol_found = &sol_found;
	thread_data.n_ss = n_ss;
	thread_data.platform_args = platform_args;

	result = (cl_ulong) solve_on_device(&thread_data);

	free(platform_args);

	free(filt_dev_info.dev_name);

	filtering = false;

	STATS.solve_time = filt_dev_info.ms_solve_time;

	free(filt_dev_info.exp_values);

	return (bool)result;
}

/*
 * Thread responsible for solving sub-search spaces on a device
 * thread_arg - structure with all thread arguments
 */
void* solve_on_device(void* thread_arg) {
	struct threads_data* thread_d;
	thread_d = (struct threads_data*) thread_arg;

	unsigned int depth = thread_d->depth;	// Tree expansion depth needed to get n_ss disjoint search spaces

	unsigned int n_ss = thread_d->n_ss;		// Number of sub-search spaces created

	unsigned int* next_str = thread_d->next_str;	// Index in stores where the next unexplored sub-search space is placed (atomic read and write)
	cl_uint* val_to_opt = thread_d->val_to_opt;	// Max value on the domain of the variable to optimize (atomic read and write)
	unsigned char* sol_found = thread_d->sol_found;	// To set to 1 when only one solution is wanted and is found (atomic read and write)
	device_info* this_dev_info = &thread_d->dev_info[thread_d->dev_number];	// Information about the device to use
	device_info* all_dev_info = thread_d->dev_info;	// Information about all the device to use
	device_args* this_dev_args = &thread_d->dev_args[thread_d->dev_number];	// Device arguments (buffers, etc.)
	cl_ulong result = 0;	// 0, 1 or number of solutions found by this device
	cl_ulong total_result = 0;	// 0, 1 or number of solutions found by this device
	unsigned int stores_idx;	// index of the next unexplored store to pick
	// To get and print elapsed times
	char elapsed_time[40];

	char start_time[40];

	char end_time[40];

	struct timeval start, end;

	if (N_DEVS > 1 && !filtering) {

		pthread_barrier_wait(&barrier);
	}

	if (VERBOSE) {
		gettimeofday(&start, NULL);
	}

	// Initialize OpenCL objects on this device

	init_device(this_dev_info, this_dev_args, filtering);

#if RUN_IN_CUDA
	if (N_DEVS > 1 && !filtering) {
		pthread_barrier_wait(&barrier);
	}
#endif

	// calculate time spent for initializing the devices
	if (VERBOSE) {
		gettimeofday(&end, NULL);
		format_elapsed_time_s_ms(elapsed_time, start.tv_sec, start.tv_usec, end.tv_sec, end.tv_usec);
		format_time_s_ms(start_time, start.tv_sec, start.tv_usec);
		format_time_s_ms(end_time, end.tv_sec, end.tv_usec);

		printf("%s...%s = %s (s.ms) -> %s (%d) was initialized\n", start_time, end_time, elapsed_time, this_dev_info->dev_name, this_dev_info->dev_type_n);
	}

	// Get the index of the unexplored sub-search space to explore next
#if defined(WIN32) || defined(_WIN32) || defined(__WIN32) && !defined(__CYGWIN__)
	stores_idx = InterlockedAdd(next_str, this_dev_info->block_size) - this_dev_info->block_size;
#else
	stores_idx = __atomic_fetch_add(next_str, this_dev_info->block_size, __ATOMIC_SEQ_CST);

#endif

	if (WORK == CNT) {
		while (stores_idx < n_ss) {

			this_dev_info->first_store = stores_idx;
			if (stores_idx + this_dev_info->block_size >= n_ss) {
				this_dev_info->block_size = n_ss - stores_idx;
			}
			this_dev_info->last_store = stores_idx + this_dev_info->block_size;

			if (!VERBOSE && !QUIET) {
				printf("%s (%d) will receive more %d stores\n", this_dev_info->dev_name, this_dev_info->dev_type_n, this_dev_info->block_size);
			}

			gettimeofday(&start, NULL);

			// solve the sub-search spaces on this device for finding all the solutions
			result = count_sols(this_dev_args, this_dev_info, depth, n_ss, &stats_lock, filtering);

			gettimeofday(&end, NULL);

			total_result += result;
			this_dev_info->sols_found += result;

			this_dev_info->last_explor_time = (double)(end.tv_sec - start.tv_sec) * 1000.0;

			this_dev_info->last_explor_time += (double)(end.tv_usec - start.tv_usec) / 1000.0;

			// update the number of stores this device explored and the number of times it was used
			this_dev_info->stores_explored += this_dev_info->block_size;
			this_dev_info->times_used++;

			// update the last elapsed time this device needs to solve on sub-search space and the cl_find_all_sol elapsed time
			this_dev_info->last_1ss_solv_time = (float)get_elapsed_ms(start.tv_sec, start.tv_usec, end.tv_sec, end.tv_usec) / (float)this_dev_info->block_size;
			this_dev_info->ms_solve_time += get_elapsed_ms(start.tv_sec, start.tv_usec, end.tv_sec, end.tv_usec);
			this_dev_info->avg_1ss_solv_time = (float)this_dev_info->ms_solve_time / (float) this_dev_info->stores_explored;

			this_dev_info->last_time_prop = (float)((float)get_elapsed_ms(start.tv_sec, start.tv_usec, end.tv_sec, end.tv_usec) / ((double)this_dev_info->last_props * 1.0));

			if (VERBOSE) {

				format_elapsed_time_s_ms(elapsed_time, start.tv_sec, start.tv_usec, end.tv_sec, end.tv_usec);

				format_time_s_ms(start_time, start.tv_sec, start.tv_usec);

				format_time_s_ms(end_time, end.tv_sec, end.tv_usec);

				if (!filtering) {
					printf("%s...%s = %s (s.ms) -> %s (%d) found %lu solution(s) on %u store(s) (%u...%u)", start_time, end_time, elapsed_time,
							this_dev_info->dev_name, this_dev_info->dev_type_n, result, this_dev_info->block_size, this_dev_info->first_store, this_dev_info->last_store - 1);

					if (this_dev_info->n_ss_mult > 1) {
						printf(" expanded %u times (Max. %u times)", this_dev_info->n_ss_mult, this_dev_info->n_ss_mult_max);

					}

					printf(", taking %.03f ms per ss", this_dev_info->last_1ss_solv_time);

					if (this_dev_info->rank > 0.000) {
						printf(" with a rank of %.03f\n", this_dev_info->rank);
					} else {
						printf("\n");
					}

				} else {
					printf("%s...%s = %s (s.ms) -> %s (%d) filtered the CSP\n", start_time, end_time, elapsed_time, this_dev_info->dev_name, this_dev_info->dev_type_n);
				}
			}

			if (*next_str < n_ss) {
				// calculate next amount of stores to send to device
				set_next_block_size(all_dev_info, thread_d->dev_number, n_ss, next_str);

				if (this_dev_info->block_size == 0) {
					break;
				}

				// Get the index of the unexplored sub-search space to explore next

#if defined(WIN32) || defined(_WIN32) || defined(__WIN32) && !defined(__CYGWIN__)
				stores_idx = InterlockedAdd(next_str, this_dev_info->block_size) - this_dev_info->block_size;

#else

				stores_idx = __atomic_fetch_add(next_str, this_dev_info->block_size, __ATOMIC_SEQ_CST);
#endif
				if (stores_idx < n_ss && stores_idx + this_dev_info->block_size > n_ss) {
					this_dev_info->block_size = n_ss - stores_idx;
				}
			} else {

				break;
			}
		}
	} else if (WORK == ONE) {

		while ((*sol_found) == 0 && (stores_idx < n_ss || (stores_idx == 1 && n_ss == 1))) {

			this_dev_info->first_store = stores_idx;

			if (stores_idx + this_dev_info->block_size >= n_ss) {
				this_dev_info->block_size = n_ss - stores_idx;
			}

			this_dev_info->last_store = stores_idx + this_dev_info->block_size;

			// for elapsed time calculation

			if (!VERBOSE && !QUIET) {
				printf("%s (%d) will receive more %d stores\n", this_dev_info->dev_name, this_dev_info->dev_type_n, this_dev_info->block_size);
			}

			gettimeofday(&start, NULL);

			// solve the sub-search spaces on this device for finding one solution
			result = find_one_sol(this_dev_args, this_dev_info, sol_found, depth, n_ss, &stats_lock, filtering);

			gettimeofday(&end, NULL);

			total_result += result;
			this_dev_info->sols_found += result;

			this_dev_info->last_explor_time = (float)(end.tv_sec - start.tv_sec) * 1000.0;
			this_dev_info->last_explor_time += (float)(end.tv_usec - start.tv_usec) / 1000.0;

			// update the number of stores this device explored and the number of times it was used
			this_dev_info->stores_explored += this_dev_info->block_size;
			this_dev_info->times_used++;

			// update the last elapsed time this device needs to solve on sub-search space and the cl_find_all_sol elapsed time
			this_dev_info->last_1ss_solv_time = (float)get_elapsed_ms(start.tv_sec, start.tv_usec, end.tv_sec, end.tv_usec) / (float) this_dev_info->block_size;
			this_dev_info->ms_solve_time += get_elapsed_ms(start.tv_sec, start.tv_usec, end.tv_sec, end.tv_usec);
			this_dev_info->avg_1ss_solv_time = (float)this_dev_info->ms_solve_time / (float)this_dev_info->stores_explored;

			this_dev_info->last_time_prop = (float)((float)get_elapsed_ms(start.tv_sec, start.tv_usec, end.tv_sec, end.tv_usec) / ((float)this_dev_info->last_props * 1.0));

			if (VERBOSE) {
				format_elapsed_time_s_ms(elapsed_time, start.tv_sec, start.tv_usec, end.tv_sec, end.tv_usec);
				format_time_s_ms(start_time, start.tv_sec, start.tv_usec);
				format_time_s_ms(end_time, end.tv_sec, end.tv_usec);

				if (!filtering) {
					printf("%s...%s = %s (s.ms) -> %s (%d) found %lu solution(s) on %u store(s) (%u...%u)", start_time, end_time, elapsed_time,
							this_dev_info->dev_name, this_dev_info->dev_type_n, result, this_dev_info->block_size, this_dev_info->first_store, this_dev_info->last_store - 1);

					if (this_dev_info->n_ss_mult > 1) {
						printf(" expanded %u times (Max. %u times)", this_dev_info->n_ss_mult, this_dev_info->n_ss_mult_max);
					}
					printf(", taking %.03f ms per ss", this_dev_info->last_1ss_solv_time);

					if (this_dev_info->rank > 0.000) {
						printf(" with a previous rank of %.03f\n", this_dev_info->rank);
					} else {
						printf("\n");
					}

				} else {

					printf("%s...%s = %s (s.ms) -> %s (%d) filtered the CSP\n", start_time, end_time, elapsed_time, this_dev_info->dev_name, this_dev_info->dev_type_n);

				}
			}

			// calculate next amount of stores to send to device
			if (*next_str < n_ss) {
				set_next_block_size(all_dev_info, thread_d->dev_number, n_ss, next_str);

				if (this_dev_info->block_size == 0) {

					break;
				}

				// Get the index of the unexplored sub-search space to explore next

#if defined(WIN32) || defined(_WIN32) || defined(__WIN32) && !defined(__CYGWIN__)
				stores_idx = InterlockedAdd(next_str, this_dev_info->block_size) - this_dev_info->block_size;
#else
				stores_idx = __atomic_fetch_add(next_str, this_dev_info->block_size, __ATOMIC_SEQ_CST);
#endif
				if (stores_idx < n_ss && stores_idx + this_dev_info->block_size > n_ss) {
					this_dev_info->block_size = n_ss - stores_idx;

				}
			} else {

				break;

			}
		}
		// if WORK == OPT
	} else {
		while (stores_idx < n_ss) {

			this_dev_info->first_store = stores_idx;

			if (stores_idx + this_dev_info->block_size >= n_ss) {

				this_dev_info->block_size = n_ss - stores_idx;
			}
			this_dev_info->last_store = stores_idx + this_dev_info->block_size;

			if (!VERBOSE && !QUIET) {
				printf("%s (%d) will receive more %d stores\n", this_dev_info->dev_name, this_dev_info->dev_type_n, this_dev_info->block_size);
			}

			gettimeofday(&start, NULL);

			// solve the sub-search spaces on this device for finding all the solutions

			result = find_best_sol(this_dev_args, this_dev_info, val_to_opt, &opt_lock, depth, n_ss, &stats_lock, filtering);

			gettimeofday(&end, NULL);

			total_result += result;
			best_sols_found += (unsigned int)result;
			this_dev_info->sols_found += result;

			this_dev_info->last_explor_time = (float)(end.tv_sec - start.tv_sec) * 1000.0;
			this_dev_info->last_explor_time += (float)(end.tv_usec - start.tv_usec) / 1000.0;

			// update the number of stores this device explored and the number of times it was used
			this_dev_info->stores_explored += this_dev_info->block_size;
			this_dev_info->times_used++;

			// update the last elapsed time this device needs to solve on sub-search space and the cl_find_all_sol elapsed time
			this_dev_info->last_1ss_solv_time = (float)get_elapsed_ms(start.tv_sec, start.tv_usec, end.tv_sec, end.tv_usec) / (float) this_dev_info->block_size;
			this_dev_info->ms_solve_time += get_elapsed_ms(start.tv_sec, start.tv_usec, end.tv_sec, end.tv_usec);
			this_dev_info->avg_1ss_solv_time = (float)this_dev_info->ms_solve_time / (float)this_dev_info->stores_explored;

			this_dev_info->last_time_prop = (float)((float)get_elapsed_ms(start.tv_sec, start.tv_usec, end.tv_sec, end.tv_usec) / ((float)this_dev_info->last_props * 1.0));

			if (VERBOSE) {
				format_elapsed_time_s_ms(elapsed_time, start.tv_sec, start.tv_usec, end.tv_sec, end.tv_usec);
				format_time_s_ms(start_time, start.tv_sec, start.tv_usec);
				format_time_s_ms(end_time, end.tv_sec, end.tv_usec);

				if (!filtering) {
					printf("%s...%s = %s (s.ms) -> %s (%d) found %lu best solution(s) on %u store(s) (%u...%u)", start_time, end_time, elapsed_time,
							this_dev_info->dev_name, this_dev_info->dev_type_n, result, this_dev_info->block_size, this_dev_info->first_store, this_dev_info->last_store - 1);

					if (this_dev_info->n_ss_mult > 1) {

						printf(" expanded %u times (Max. %u times)", this_dev_info->n_ss_mult, this_dev_info->n_ss_mult_max);
					}
					printf(", taking %.03f ms per ss", this_dev_info->last_1ss_solv_time);

					if (this_dev_info->rank > 0.000) {
						printf(" with a previous rank of %.03f\n", this_dev_info->rank);
					} else {
						printf("\n");
					}

				} else {
					printf("%s...%s = %s (s.ms) -> %s (%d) filtered the CSP\n", start_time, end_time, elapsed_time, this_dev_info->dev_name, this_dev_info->dev_type_n);

				}
			}

			if (*next_str < n_ss) {
				// calculate next amount of stores to send to device
				set_next_block_size(all_dev_info, thread_d->dev_number, n_ss, next_str);

				if (this_dev_info->block_size == 0) {

					break;
				}

				// Get the index of the unexplored sub-search space to explore next

#if defined(WIN32) || defined(_WIN32) || defined(__WIN32) && !defined(__CYGWIN__)

				stores_idx = InterlockedAdd(next_str, this_dev_info->block_size) - this_dev_info->block_size;
#else

				stores_idx = __atomic_fetch_add(next_str, this_dev_info->block_size, __ATOMIC_SEQ_CST);
#endif
				if (stores_idx < n_ss && stores_idx + this_dev_info->block_size > n_ss) {
					this_dev_info->block_size = n_ss - stores_idx;
				}
			} else {
				break;
			}

		}
	}

	// for elapsed time calculation
	if (VERBOSE) {
		gettimeofday(&start, NULL);
	}

	// clear device objects
	release_device(this_dev_args, this_dev_info, filtering);

	if (VERBOSE) {
		gettimeofday(&end, NULL);
		this_dev_info->ms_finish_time = (unsigned long)end.tv_sec * 1000 + (unsigned long)end.tv_usec / 1000;
	}

	if (VERBOSE) {

		gettimeofday(&end, NULL);
		format_elapsed_time_s_ms(elapsed_time, start.tv_sec, start.tv_usec, end.tv_sec, end.tv_usec);
		format_time_s_ms(start_time, start.tv_sec, start.tv_usec);
		format_time_s_ms(end_time, end.tv_sec, end.tv_usec);

		printf("%s...%s = %s (s.ms) -> %s (%d) was released\n", start_time, end_time, elapsed_time, this_dev_info->dev_name, this_dev_info->dev_type_n);
	}

	if (N_DEVS > 1 && !filtering) {
		return (void *) (intptr_t) total_result;
	} else {
		return (void *) (cl_ulong) total_result;
	}
}

/*
 * Load balancing between all devices
 * dev_info - all devices information
 * dev_idx - index of dev_info of the device to calculate the next amount of stores to send to device
 * n_ss - total number of sub-search spaces created
 * last_str_explored - last store explored
 */
void set_next_block_size(device_info* dev_info, unsigned int dev_idx, unsigned int n_ss, unsigned int* last_str_explored) {
	float avg_sum = 0;
	float* avg_prop_solv_time = malloc(N_DEVS * sizeof(float));
	bool all_devs_used;
	unsigned int devs_ranked_;
	unsigned int devs_working_;
	unsigned int i;
	unsigned int fastest_dev = 0;
	unsigned int fastest_dev_prop_solv_time = UINT_MAX;
	unsigned int last_str_explored_;

#if defined(WIN32) || defined(_WIN32) || defined(__WIN32) && !defined(__CYGWIN__)
	last_str_explored_ = InterlockedAdd(last_str_explored, 0);

#else

	last_str_explored_ = __atomic_fetch_add(last_str_explored, 0, __ATOMIC_SEQ_CST);
#endif

	for (i = 0; i < N_DEVS; i++) {
		if (dev_info[i].working) {
			if (avg_prop_solv_time[i] > 0 && avg_prop_solv_time[i] < fastest_dev_prop_solv_time) {
				fastest_dev_prop_solv_time = (unsigned int)avg_prop_solv_time[i];
				fastest_dev = i;
			}
		}
	}

	// More one device ranked
#if defined(WIN32) || defined(_WIN32) || defined(__WIN32) && !defined(__CYGWIN__)

	devs_ranked_ = InterlockedAdd(&devs_ranked, 0);
	devs_working_ = InterlockedAdd(&devs_working_, 0);
#else
	devs_ranked_ = __atomic_add_fetch(&devs_ranked, 0, __ATOMIC_SEQ_CST);
	devs_working_ = __atomic_add_fetch(&devs_working, 0, __ATOMIC_SEQ_CST);
#endif

	dev_info[dev_idx].n_ss_mult = 1;

	// only one device so take the remaining ss

	if (devs_working_ == 1) {

		dev_info[dev_idx].block_size = n_ss - last_str_explored_;

	} else {
		// if counting all the solutions
		if (WORK == CNT) {

			if (dev_info[dev_idx].props_total == 0) {
				dev_info[dev_idx].props_total = 1;
			}

			if (dev_info[dev_idx].last_1ss_solv_time > dev_info[dev_idx].max_1ss_solv_time) {
				dev_info[dev_idx].max_1ss_solv_time = dev_info[dev_idx].last_1ss_solv_time;

			}

			if (dev_info[dev_idx].last_time_prop > dev_info[dev_idx].max_time_prop) {
				dev_info[dev_idx].max_time_prop = dev_info[dev_idx].last_time_prop;
			}

			// update the average time needed to run one propagator
			dev_info[dev_idx].avg_time_prop = (float)dev_info[dev_idx].ms_solve_time / (float)dev_info[dev_idx].props_total * 1000;

			for (i = 0; i < N_DEVS; i++) {
				avg_prop_solv_time[i] = dev_info[i].avg_time_prop;
			}

			// if this device wasn't ranked yet
			if (!dev_info[dev_idx].ranked && dev_info[dev_idx].times_used == N_FIRST_BLOCKS) {

				dev_info[dev_idx].ranked = true;

				// More one device ranked
#if defined(WIN32) || defined(_WIN32) || defined(__WIN32) && !defined(__CYGWIN__)
				devs_ranked_ = InterlockedAdd(&devs_ranked, 1);
#else
				devs_ranked_ = __atomic_add_fetch(&devs_ranked, 1, __ATOMIC_SEQ_CST);
#endif
			}

			// if the device took more than 1 s to explore the previous block, decrease the size of the next block to half. For the first 3 block only
			if (dev_info[dev_idx].times_used < N_FIRST_BLOCKS && dev_info[dev_idx].last_explor_time > MS_HALF_FIRST_BLOCKS) {
				dev_info[dev_idx].block_size /= 2;
			}

			// if only one device is already ranked, and this one already explored two blocks, doubles the size of the next block, if that is not be too big
			if (devs_ranked_ == 1 && dev_info[dev_idx].times_used >= N_FIRST_BLOCKS && dev_info[dev_idx].block_size * 2 < (n_ss - last_str_explored_) * PERCENT_REM_SS_DOUBLE) {
				dev_info[dev_idx].block_size *= 2;

			// After this point more than one device are already ranked
			} else if (devs_ranked_ == N_DEVS) {
				// update current device rank
				for (i = 0; i < N_DEVS; i++) {
					if (dev_info[i].working) {
						if (avg_prop_solv_time[i] > 0) {
							avg_sum += 1 / avg_prop_solv_time[i];
						}
					}
				}
				if (avg_prop_solv_time[dev_idx] > 0 && avg_sum > 0) {
					dev_info[dev_idx].rank = 1 / avg_prop_solv_time[dev_idx] / avg_sum;

					// next block size
					if (dev_info[dev_idx].type == CL_DEVICE_TYPE_CPU) {
						dev_info[dev_idx].block_size = (unsigned int)(dev_info[dev_idx].rank * (float)(n_ss - last_str_explored_) * PERCENT_REM_SS_RANK_CPU);

					} else if (dev_info[dev_idx].type == CL_DEVICE_TYPE_GPU) {
						dev_info[dev_idx].block_size = (unsigned int)(dev_info[dev_idx].rank * (float)(n_ss - last_str_explored_) * PERCENT_REM_SS_RANK_GPU);

						// ACC
					} else {
						dev_info[dev_idx].block_size = (unsigned int)(dev_info[dev_idx].rank * (float)(n_ss - last_str_explored_) * PERCENT_REM_SS_RANK_ACC);
					}
				}

				// if this device is estimated to take less than 500 ms to solve the remaining ss, takes them all

				if ((float)(n_ss - last_str_explored_) * dev_info[dev_idx].avg_1ss_solv_time < MS_TAKE_ALL) {

					dev_info[dev_idx].block_size = n_ss - last_str_explored_;
				}

			}

		// if optimizing try to deliver blocks that take 1s to explore
		} else if (WORK == OPT) {

			if (dev_info[dev_idx].last_explor_time < FAST_BLOCKS_MS_OPT) {
				dev_info[dev_idx].n_fast_blocks++;

			} else {
				dev_info[dev_idx].n_fast_blocks = 0;

				if (dev_info[dev_idx].last_explor_time > FAST_BLOCKS_MS_OPT) {

					dev_info[dev_idx].block_size /= 2;

				}
			}

			if (dev_info[dev_idx].n_fast_blocks == N_FAST_BLOCKS_OPT) {
				dev_info[dev_idx].block_size += 1 + (unsigned int)(PERCENT_BLOCKS_ADD * (double)dev_info[dev_idx].block_size);
				dev_info[dev_idx].n_fast_blocks = 0;
			}

		// if finding one solution and all devices have explored at least three blocks each, try to deliver blocks that take 2s to explore
		} else {

			all_devs_used = true;

			for (i = 0; i < N_DEVS; i++) {
				if (dev_info[i].times_used < N_FIRST_BLOCKS) {
					all_devs_used = false;
					break;
				}
			}

			if (dev_info[dev_idx].avg_1ss_solv_time != 0 && all_devs_used == true) {
				dev_info[dev_idx].block_size = (unsigned int)(FAST_BLOCKS_MS_ONE / dev_info[dev_idx].avg_1ss_solv_time);
			}

			if (dev_info[dev_idx].last_explor_time > FAST_BLOCKS_MS_ONE * 2) {
				dev_info[dev_idx].block_size /= 2;

			}
		}

	}

	if (dev_info[dev_idx].times_used / TIMES_USED_TRESHOLD > 1.0 && (SS_REM_PERC_TRESHOLD * n_ss) < (n_ss - last_str_explored_)) {
		dev_info[dev_idx].block_size *= (unsigned int)(dev_info[dev_idx].times_used / TIMES_USED_TRESHOLD);
	}

	// if the block size is close to 0, stop it
	if (dev_info[dev_idx].block_size == 0) {

		dev_info[dev_idx].n_empty_blocks++;

		if (dev_info[dev_idx].n_empty_blocks >= N_EMPTY_BLOCKS && dev_idx != fastest_dev && dev_info[dev_idx].type == CL_DEVICE_TYPE_GPU && !all_GPUs) {
#if defined(WIN32) || defined(_WIN32) || defined(__WIN32) && !defined(__CYGWIN__)
			devs_working_ = InterlockedDecrement(&devs_working);
#else
			devs_working_ = __atomic_sub_fetch(&devs_working, 1, __ATOMIC_SEQ_CST);
#endif
			if (devs_working_ > 0) {
				dev_info[dev_idx].block_size = 0;
				dev_info[dev_idx].working = false;

			} else {
				dev_info[dev_idx].block_size = n_ss - last_str_explored_;
			}

		} else {
			dev_info[dev_idx].block_size = 1;
		}

	} else {
		dev_info[dev_idx].n_empty_blocks = 0;
	}

#if defined(WIN32) || defined(_WIN32) || defined(__WIN32) && !defined(__CYGWIN__)
	devs_working_ = InterlockedAdd(&devs_working, 0);
#else

	devs_working_ = __atomic_add_fetch(&devs_working, 0, __ATOMIC_SEQ_CST);

#endif
	if (devs_working_ == 1 && dev_info[dev_idx].working) {
		dev_info[dev_idx].block_size = n_ss - last_str_explored_;
	}

#if SS_MULTIPLIER
	if (dev_info[dev_idx].block_size > 0) {
		//GPU
		if (dev_info[dev_idx].type == CL_DEVICE_TYPE_GPU && dev_info[dev_idx].block_size < SS_GPU / (GPU_DEFAULT_N_WI / (double)dev_info[dev_idx].n_wi_wg * 1.0)
				/ (GPU_DEFAULT_N_WG / (double)dev_info[dev_idx].n_wg)) {

			dev_info[dev_idx].n_ss_mult = (unsigned int)((SS_GPU / (GPU_DEFAULT_N_WI / (double)dev_info[dev_idx].n_wi_wg) / (GPU_DEFAULT_N_WG / (double)dev_info[dev_idx].n_wg * 1.0))

					/ dev_info[dev_idx].block_size);

		// ACC

		} else if (dev_info[dev_idx].type == CL_DEVICE_TYPE_ACCELERATOR && dev_info[dev_idx].block_size < SS_ACC / (dev_info[dev_idx].compute_units /

				(double)dev_info[dev_idx].n_wg * 1.0)) {
			dev_info[dev_idx].n_ss_mult = (unsigned int)(SS_ACC / (dev_info[dev_idx].compute_units / (double)dev_info[dev_idx].n_wg * 1.0) / dev_info[dev_idx].block_size);
		// CPU
		} else if (DEVICES_INFO[dev_idx].type == CL_DEVICE_TYPE_CPU && dev_info[dev_idx].block_size < SS_CPU * dev_info[dev_idx].compute_units /
				(dev_info[dev_idx].compute_units / (double)dev_info[dev_idx].n_wg * 1.0)) {
			dev_info[dev_idx].n_ss_mult = (unsigned int)((SS_CPU * dev_info[dev_idx].compute_units) / (dev_info[dev_idx].compute_units / (double)dev_info[dev_idx].n_wg * 1.0) /
					dev_info[dev_idx].block_size);
		}

		if (dev_info[dev_idx].n_ss_mult > mult_max) {

			dev_info[dev_idx].n_ss_mult = mult_max;

		} else if (dev_info[dev_idx].n_ss_mult == 0) {

			dev_info[dev_idx].n_ss_mult = 1;

		}
	}
#endif
	
	free(avg_prop_solv_time);
}

/*
 * Calculate number of stores to create and fill all stores with disjoint sub-trees
 * Stores are only filled to depth, because all the remaining domains are equal in all stores
 * depth - depth of tree needed to expand to fill stores
 * n_ss - to save the number of stores to create
 * strs - stores to fill
 */
void split_ss(unsigned int* depth, unsigned int* n_ss, unsigned int n_vs_to_label) {
	unsigned int n_strs; // maximum number of ss to create
	unsigned int vs_to_label_cntr = 0;

	unsigned int i, j;

	EXP_VALUES = calloc(N_VS, sizeof(unsigned int));

	// if just one search space is to be used
	if ((N_DEVS == 1 && DEVICES_INFO[0].n_wg * DEVICES_INFO[0].n_wi_wg == 1 && N_SS == 0) || N_SS == 1) {
		(*depth) = 0;
		(*n_ss) = 1;
	} else {
		// if the user wants to use the default number of sub-search spaces
		if (N_SS == 0) {
			// if going to use more than one device
			if (N_DEVS > 1) {
				n_strs = 0;
				// base on the CPU number of cores
				for (i = 0; i < N_DEVS; i++) {
					if (DEVICES_INFO[i].type == CL_DEVICE_TYPE_CPU) {
						n_strs = SS_CPU * DEVICES_INFO[i].compute_units;
						break;
					}
				}
				// no CPU, get the device with less cores
				if (n_strs == 0) {
					for (i = 0; i < N_DEVS; i++) {
						// GPU
						if (DEVICES_INFO[0].type == CL_DEVICE_TYPE_GPU) {
							if (SS_GPU > n_strs) {
								n_strs = SS_GPU;
							}
						// MIC
						} else if (DEVICES_INFO[0].type == CL_DEVICE_TYPE_ACCELERATOR) {
							if (SS_ACC > n_strs) {
								n_strs = SS_ACC;
							}
						// CPU
						} else {
							n_strs = SS_GPU;
						}

					}

				}

			// if only one device
			} else if (DEVICES_INFO[0].type == CL_DEVICE_TYPE_GPU) {

				if (DEVICES_INFO[0].n_wg == DEVICES_INFO[0].def_n_wg && DEVICES_INFO[0].n_wi_wg == DEVICES_INFO[0].def_n_wi_wg) {
					n_strs = SS_GPU;
				} else {
					n_strs = (unsigned int)((DEVICES_INFO[0].n_wg * DEVICES_INFO[0].n_wi_wg * SS_GPU) / (DEVICES_INFO[0].def_n_wg * DEVICES_INFO[0].def_n_wi_wg));
				}

			} else if (DEVICES_INFO[0].type == CL_DEVICE_TYPE_ACCELERATOR) {

				if (DEVICES_INFO[0].n_wg == DEVICES_INFO[0].def_n_wg && DEVICES_INFO[0].n_wi_wg == DEVICES_INFO[0].def_n_wi_wg) {
					n_strs = SS_ACC;
				} else {
					n_strs = (unsigned int)((DEVICES_INFO[0].n_wg * DEVICES_INFO[0].n_wi_wg * SS_ACC) / (DEVICES_INFO[0].def_n_wg * DEVICES_INFO[0].def_n_wi_wg));
				}

			} else {

				if (DEVICES_INFO[0].n_wg == DEVICES_INFO[0].def_n_wg && DEVICES_INFO[0].n_wi_wg == DEVICES_INFO[0].def_n_wi_wg) {
					n_strs = SS_CPU * DEVICES_INFO[0].compute_units;

				} else {
					n_strs = (unsigned int)((DEVICES_INFO[0].n_wg * DEVICES_INFO[0].n_wi_wg * SS_CPU * DEVICES_INFO[0].compute_units) /

							(DEVICES_INFO[0].def_n_wg * DEVICES_INFO[0].def_n_wi_wg));
				}

			}

			// cap on 1.000.000 per device
			if (n_strs > MAX_SS) {
				n_strs = MAX_SS;
			}

		} else {
			n_strs = N_SS;
		}

		// calculate the depth of the tree needed to expand
		*n_ss = 1;
		*depth = 0;
		i = 0;

		while ((*n_ss) < n_strs && vs_to_label_cntr < n_vs_to_label) {

			if (VS[i].to_label) {
				(*n_ss) *= VS[i].n_vals;

				EXP_VALUES[i] = VS[i].n_vals;

				// will be fully expanded during sub-search spaces creation, so its already labeled
				VS[i].to_label = false;

				VS[i].expanded = true;

				vs_labeled_at_exp++;
				vs_to_label_cntr++;

			} else {

				EXP_VALUES[i] = 1;

			}

			(*depth)++;
			i++;

		}

		// if expanding all the tree nodes to depth generate more than the required number of sub-search spaces
		if ((*n_ss) != n_strs) {
			i--;
			(*n_ss) /= VS[i].n_vals;

			// reset, because it will not be fully expanded
			VS[i].to_label = true;
			VS[i].expanded = false;
			vs_labeled_at_exp--;
			vs_to_label_cntr--;

			for (j = 2; j < VS[i].n_vals; j++) {
				if ((*n_ss) * j >= n_strs) {

					(*n_ss) *= j;

					EXP_VALUES[i] = j;
					break;
				}

			}

			if (j == VS[i].n_vals) {
				(*n_ss) *= VS[i].n_vals;
				EXP_VALUES[i] = VS[i].n_vals;
				VS[i].to_label = false;
				VS[i].expanded = true;
				vs_labeled_at_exp++;
				vs_to_label_cntr++;
			}
		}

#if SS_MULTIPLIER

		unsigned long long mult_max_aux = 1;

		// get the max multiplier that can be applied to the number of ss inside each device
		if (*depth != N_VS) {
			for (i = (*depth); i < N_VS && vs_to_label_cntr < n_vs_to_label && mult_max_aux * (*n_ss) < UINT_MAX; i++) {
				if (VS[i].n_vals > 1 && VS[i].to_label) {
					vs_to_label_cntr++;
					mult_max_aux *= VS[i].n_vals;
				}
			}
			if (mult_max_aux * (*n_ss) > UINT_MAX) {

				if (i == N_VS) {

					i--;
				}
				mult_max_aux /= VS[i].n_vals;

				for (j = 2; j < VS[i].n_vals; j++) {
					if (mult_max_aux * (*n_ss) * j > UINT_MAX) {
						j--;
						mult_max_aux *= j;
						break;
					}
				}
			}
			mult_max = (unsigned int)mult_max_aux;
		}
		if (mult_max == 0) {
			mult_max = 1;
		}
#else
		mult_max = 1;
#endif
	}
}