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Copy pathDHP_PE_RA_FDM.cpp
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DHP_PE_RA_FDM.cpp
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#include <iostream>
#include <fstream>
#include <string>
#include <cstring>
#include <cmath>
#include <limits>
#include <iomanip>
#include <mpi.h>
#ifdef _OPENMP
#include <omp.h>
#endif
#include "DHP_PE_RA_FDM.h"
using std::cout;
using std::fstream;
using std::endl;
using std::setw;
using std::ceil;
using std::max;
using std::abs;
using std::swap;
using std::memset;
// ==================================================================================================================================================
// DHP_PE_RA_FDM::DHP_PE_RA_FDM
// ==================================================================================================================================================
ProcComputingCoords::ProcComputingCoords ():
x_proc_num (0),
y_proc_num (0),
x_cells_num (0),
x_cell_pos (0),
y_cells_num (0),
y_cell_pos (0),
top (false),
bottom (false),
left (false),
right (false)
{}
// ==================================================================================================================================================
// DHP_PE_RA_FDM::DHP_PE_RA_FDM
// ==================================================================================================================================================
ProcComputingCoords::ProcComputingCoords (const ProcParams& procParams, const int grid_size_x, const int grid_size_y, const int x_proc_num_, const int y_proc_num_){
x_proc_num = x_proc_num_;
y_proc_num = y_proc_num_;
int x_cells_per_proc = (grid_size_x +1) / x_proc_num;
int x_redundant_cells_num = (grid_size_x +1) % x_proc_num;
int x_normal_tasks_num = x_proc_num - x_redundant_cells_num;
if (procParams.rank % x_proc_num < x_normal_tasks_num) {
x_cells_num = x_cells_per_proc;
x_cell_pos = procParams.rank % x_proc_num * x_cells_per_proc;
} else {
x_cells_num = x_cells_per_proc + 1;
x_cell_pos = procParams.rank % x_proc_num * x_cells_per_proc + (procParams.rank % x_proc_num - x_normal_tasks_num);
}
int y_cells_per_proc = (grid_size_y +1) / y_proc_num;
int y_redundant_cells_num = (grid_size_y +1) % y_proc_num;
int y_normal_tasks_num = y_proc_num - y_redundant_cells_num;
if (procParams.rank / x_proc_num < y_normal_tasks_num) {
y_cells_num = y_cells_per_proc;
y_cell_pos = procParams.rank / x_proc_num * y_cells_per_proc;
} else {
y_cells_num = y_cells_per_proc + 1;
y_cell_pos = procParams.rank / x_proc_num * y_cells_per_proc + (procParams.rank / x_proc_num - y_normal_tasks_num);
}
top = procParams.rank < x_proc_num;
bottom = procParams.rank >= x_proc_num * (y_proc_num -1);
left = procParams.rank % x_proc_num == 0;
right = procParams.rank % x_proc_num == x_proc_num -1;
}
// ==================================================================================================================================================
// DHP_PE_RA_FDM::DHP_PE_RA_FDM
// ==================================================================================================================================================
DHP_PE_RA_FDM::DHP_PE_RA_FDM ( const double x1, const double y1, const double x2, const double y2, const int grid_size_x_, const int grid_size_y_,
const double eps_, const int descent_step_iterations_):
X1(x1), Y1(y1),
X2(x2), Y2(y2),
hx ((x2-x1)/grid_size_x_),
hy ((y2-y1)/grid_size_y_),
grid_size_x (grid_size_x_),
grid_size_y (grid_size_y_),
eps (eps_),
hxhy (hx*hy),
hx2 (hx*hx),
hy2 (hy*hy),
descent_step_iterations (descent_step_iterations_),
iterations_counter (0),
p (NULL),
p_prev (NULL),
send_message_lr (NULL),
send_message_rl (NULL),
send_message_td (NULL),
send_message_bu (NULL),
recv_message_lr (NULL),
recv_message_rl (NULL),
recv_message_td (NULL),
recv_message_bu (NULL),
recv_reqs_5_star (NULL),
send_reqs_5_star (NULL),
debug_fname (string("debug.txt"))
{
// std::numeric_limits<double>::max_digits10 - is a c++11 feature
// std::numeric_limits<double>::max_digits10 == 17
cout << std::setprecision(17);
send_reqs_5_star = new MPI_Request [4];
recv_reqs_5_star = new MPI_Request [4];
if (debug){
int r;
MPI_Comm_rank (MPI_COMM_WORLD, &r);
if (r == 0){
fstream fout (debug_fname.c_str());
fout << "X1= " << X1 << " Y1= " << Y1 << endl
<< "X2= " << X2 << " Y2= " << Y2 << endl
<< "hx= " << hx << " hy= " << hy << endl
<< "Xgrid= " << grid_size_x << " Ygrid= " << grid_size_y << " eps= " << eps << endl;
fout.close();
}
}
}
// ==================================================================================================================================================
// DHP_PE_RA_FDM::~DHP_PE_RA_FDM
// ==================================================================================================================================================
DHP_PE_RA_FDM::~DHP_PE_RA_FDM (){
if (p != NULL){
delete [] p; p = NULL;
}
if (p_prev != NULL){
delete [] p_prev; p_prev = NULL;
}
if (send_message_lr != NULL){
delete [] send_message_lr; send_message_lr = NULL;
}
if (send_message_rl != NULL){
delete [] send_message_rl; send_message_rl = NULL;
}
if (send_message_td != NULL){
delete [] send_message_td; send_message_td = NULL;
}
if (send_message_bu != NULL){
delete [] send_message_bu; send_message_bu = NULL;
}
if (recv_message_lr != NULL){
delete [] recv_message_lr; recv_message_lr = NULL;
}
if (recv_message_rl != NULL){
delete [] recv_message_rl; recv_message_rl = NULL;
}
if (recv_message_td != NULL){
delete [] recv_message_td; recv_message_td = NULL;
}
if (recv_message_bu != NULL){
delete [] recv_message_bu; recv_message_bu = NULL;
}
if (recv_reqs_5_star != NULL){
delete [] recv_reqs_5_star; recv_reqs_5_star = NULL;
}
if (send_reqs_5_star != NULL){
delete [] send_reqs_5_star; send_reqs_5_star = NULL;
}
if (procParams.comm != MPI_COMM_WORLD){
MPI_Comm_free(&procParams.comm);
}
}
// ==================================================================================================================================================
// DHP_PE_RA_FDM::PrepareMPIComm
// ==================================================================================================================================================
MPI_Comm DHP_PE_RA_FDM::PrepareMPIComm(const ProcParams& procParams_in, const int x_proc_num, const int y_proc_num) const{
if (procParams_in.size < x_proc_num * y_proc_num)
throw DHP_PE_RA_FDM_Exception("Not enough processes for requested computations.");
if (procParams_in.size > (grid_size_x+1) * (grid_size_y+1))
throw DHP_PE_RA_FDM_Exception("Can not scale computation of matrix to demanded amount of processes"
" (amount of points in region < amount of processes).");
MPI_Comm newComm;
if (procParams_in.rank < x_proc_num * y_proc_num){
MPI_Comm_split(MPI_COMM_WORLD, 1, procParams_in.rank, &newComm);
} else {
MPI_Comm_split(MPI_COMM_WORLD, MPI_UNDEFINED, procParams_in.rank, &newComm);
}
return newComm;
}
// ==================================================================================================================================================
// DHP_PE_RA_FDM::Compute
// ==================================================================================================================================================
void DHP_PE_RA_FDM::Compute (const ProcParams& procParams_in, const int x_proc_num, const int y_proc_num){
MPI_Comm algComm = PrepareMPIComm(procParams_in, x_proc_num, y_proc_num);
if (algComm == MPI_COMM_NULL)
return;
if (procParams.comm != MPI_COMM_WORLD){
MPI_Comm_free(&procParams.comm);
}
procParams = ProcParams(algComm);
procCoords = ProcComputingCoords(procParams, grid_size_x, grid_size_y, x_proc_num, y_proc_num);
if (p != NULL)
delete [] p; p = NULL;
if (p_prev != NULL)
delete [] p_prev; p_prev = NULL;
p = new double [procCoords.x_cells_num * procCoords.y_cells_num];
p_prev = new double [procCoords.x_cells_num * procCoords.y_cells_num];
double* g = new double [procCoords.x_cells_num * procCoords.y_cells_num];
double* r = new double [procCoords.x_cells_num * procCoords.y_cells_num];
double* delta_p = new double [procCoords.x_cells_num * procCoords.y_cells_num];
double* delta_g = new double [procCoords.x_cells_num * procCoords.y_cells_num];
double* delta_r = new double [procCoords.x_cells_num * procCoords.y_cells_num];
double scalar_product_delta_g_and_g = 1;
double scalar_product_delta_r_and_g = 1;
double scalar_product_r_and_g = 1;
double alpha = 0;
double tau = 0;
// Computing step 1
Initialize_P_and_Pprev();
Dump_func(debug_fname, p_prev, "p_prev");
Initialize_F_border_with_zero(g);
Initialize_F_border_with_zero(r);
Initialize_F_border_with_zero(delta_p);
Initialize_F_border_with_zero(delta_g);
Initialize_F_border_with_zero(delta_r);
iterations_counter = 0;
while (true) {
if (debug and procParams.rank == 0)
cout << endl << "iterations_counter = " << iterations_counter << endl;
// Computing step 2
Counting_5_star(delta_p, p_prev);
Dump_func(debug_fname, delta_p, "delta_p");
// Computing step 3
Compute_r (r, delta_p);
Dump_func(debug_fname, r, "r");
if (iterations_counter >= descent_step_iterations){
// Computing step 4
Counting_5_star(delta_r, r);
Dump_func(debug_fname, delta_r, "delta_r");
// Computing step 5
scalar_product_delta_r_and_g = ComputingScalarProduct(delta_r, g);
if (debug and procParams.rank == 0)
cout << "scalar_product_delta_r_and_g= " << scalar_product_delta_r_and_g << endl;
// Computing step 6
alpha = scalar_product_delta_r_and_g / scalar_product_delta_g_and_g;
if (debug and procParams.rank == 0)
cout << "alpha= " << alpha << endl;
}
// Computing step 7
if (iterations_counter >= descent_step_iterations){
Compute_g (g, r, alpha);
Dump_func(debug_fname, g, "g");
} else {
swap(g, r); // g is r now !
}
// Computing step 8
Counting_5_star(delta_g, g);
Dump_func(debug_fname, delta_g, "delta_g");
// Computing step 9
if (iterations_counter >= descent_step_iterations){
scalar_product_r_and_g = ComputingScalarProduct(r, g);
if (debug and procParams.rank == 0)
cout << "scalar_product_r_and_g= " << scalar_product_r_and_g << endl;
} else {
scalar_product_r_and_g = ComputingScalarProduct(g, g); // because g is r now!
if (debug and procParams.rank == 0)
cout << "scalar_product_r_and_r= " << scalar_product_r_and_g << endl;
}
// Computing step 10
scalar_product_delta_g_and_g = ComputingScalarProduct(delta_g, g);
if (debug and procParams.rank == 0)
cout << "scalar_product_delta_g_and_g= " << scalar_product_delta_g_and_g << endl;
// Computing step 11
if (scalar_product_delta_g_and_g != 0){
tau = scalar_product_r_and_g / scalar_product_delta_g_and_g;
} else {
throw DHP_PE_RA_FDM_Exception( "Error. there is a divizion by zero in computations. Zero value is scalar product of delta_g and g.\n"
"Probably there can be next problems:\n"
"\t1) You have to increase amount of descent step iterations (default: 1);\n"
"\t2) Algorithm has problems with fraction(fixed point part) of type 'double'.\n"
"\t3) You specified too small matrix (internal region does not contain internal points, the only points are in boundary region).\n"
"Iteration process terminated.");
// 'p' - is side effect of computation and within error, last correct computation will be restored from p_prev
swap(p, p_prev);
break;
}
if (debug and procParams.rank == 0)
cout << "tau= " << tau << endl;
// Computing step 12
Compute_p (tau, g);
Dump_func(debug_fname, p, "p");
// OutputBias (p);
if (StopCriteria (p, p_prev))
break;
swap(p, p_prev);
iterations_counter++;
}
delete [] g; g = NULL;
delete [] r; r = NULL;
delete [] delta_p; delta_p = NULL;
delete [] delta_g; delta_g = NULL;
delete [] delta_r; delta_r = NULL;
}
// ==================================================================================================================================================
// DHP_PE_RA_FDM::ComputingScalarProduct
// ==================================================================================================================================================
double DHP_PE_RA_FDM::ComputingScalarProduct(const double* const f1, const double* const f2){
double scalar_product = 0;
#pragma omp parallel
// #pragma omp for schedule (static) reduction(+:scalar_product) collapse (2)
#pragma omp for schedule (static) reduction(+:scalar_product)
for (int j = 0; j < procCoords.y_cells_num; j++){
for (int i = 0; i < procCoords.x_cells_num; i++){
scalar_product += hxhy * f1[j * procCoords.x_cells_num + i] * f2[j * procCoords.x_cells_num + i];
}
}
double global_scalar_product = 0;
int ret = MPI_Allreduce(
&scalar_product, // const void *sendbuf,
&global_scalar_product, // void *recvbuf,
1, // int count,
MPI_DOUBLE, // MPI_Datatype datatype,
MPI_SUM, // MPI_Op op,
procParams.comm // MPI_Comm comm
);
if (ret != MPI_SUCCESS) throw DHP_PE_RA_FDM_Exception("Error reducing scalar_product.");
return global_scalar_product;
}
// ==================================================================================================================================================
// DHP_PE_RA_FDM::StopCriteria
// ==================================================================================================================================================
bool DHP_PE_RA_FDM::StopCriteria(const double* const f1, const double* const f2){
// double norm = 0;
// #pragma omp parallel
// #pragma omp for schedule (static) reduction(max:norm)
// for (int i = 0; i < procCoords.x_cells_num * procCoords.y_cells_num; i++){
// norm = max(norm, abs(f1[i] - f2[i]));
// }
double norm = 0;
double priv_norm = 0;
#pragma omp parallel firstprivate (priv_norm)
{
#pragma omp for schedule (static)
for (int i = 0; i < procCoords.x_cells_num * procCoords.y_cells_num; i++){
priv_norm = max(priv_norm, abs(f1[i] - f2[i]));
}
#pragma omp critical
{
norm = max(priv_norm, norm);
}
}
double global_norm = 0;
int ret = MPI_Allreduce(
&norm, // const void *sendbuf,
&global_norm, // void *recvbuf,
1, // int count,
MPI_DOUBLE, // MPI_Datatype datatype,
MPI_MAX, // MPI_Op op,
procParams.comm // MPI_Comm comm
);
if (ret != MPI_SUCCESS) throw DHP_PE_RA_FDM_Exception("Error reducing stopCriteria.");
return global_norm < eps;
}
// ==================================================================================================================================================
// DHP_PE_RA_FDM::Counting_5_star
// ==================================================================================================================================================
void DHP_PE_RA_FDM::Counting_5_star (double* const delta_f, const double* const f){
int i = 0;
int j = 0;
int ret = MPI_SUCCESS;
#pragma omp parallel
// #pragma omp for schedule (static) collapse (2)
#pragma omp for schedule (static) private(i)
for (j = 1; j < procCoords.y_cells_num -1; j++){
for (i = 1; i < procCoords.x_cells_num -1; i++){
delta_f[j * procCoords.x_cells_num + i] = (
(f[j * procCoords.x_cells_num + i ] - f[j * procCoords.x_cells_num + i-1]) -
(f[j * procCoords.x_cells_num + i+1] - f[j * procCoords.x_cells_num + i ])
) / hx2 + (
(f[ j * procCoords.x_cells_num + i] - f[(j-1) * procCoords.x_cells_num + i]) -
(f[(j+1) * procCoords.x_cells_num + i] - f[ j * procCoords.x_cells_num + i])
) / hy2;
}
}
// ==========================================
// memory allocation
// ==========================================
if (send_message_lr == NULL)
send_message_lr = new double [procCoords.y_cells_num];
if (send_message_rl == NULL)
send_message_rl = new double [procCoords.y_cells_num];
if (send_message_td == NULL)
send_message_td = new double [procCoords.x_cells_num];
if (send_message_bu == NULL)
send_message_bu = new double [procCoords.x_cells_num];
if (recv_message_lr == NULL)
recv_message_lr = new double [procCoords.y_cells_num];
if (recv_message_rl == NULL)
recv_message_rl = new double [procCoords.y_cells_num];
if (recv_message_td == NULL)
recv_message_td = new double [procCoords.x_cells_num];
if (recv_message_bu == NULL)
recv_message_bu = new double [procCoords.x_cells_num];
// ==========================================
// initialize send buffers
// ==========================================
#pragma omp parallel
#pragma omp sections private(i, j)
{
// left -> right
#pragma omp section
for (j = 0; j < procCoords.y_cells_num; j++){
send_message_lr[j] = f[ (j+1) * procCoords.x_cells_num -1];
}
// right -> left
#pragma omp section
for (j = 0; j < procCoords.y_cells_num; j++){
send_message_rl[j] = f[ j * procCoords.x_cells_num + 0];
}
// top -> down
#pragma omp section
for (i = 0; i < procCoords.x_cells_num; i++){
send_message_td[i] = f[ (procCoords.y_cells_num -1) * procCoords.x_cells_num + i];
}
// bottom -> up
#pragma omp section
for (i = 0; i < procCoords.x_cells_num; i++){
send_message_bu[i] = f[i];
}
}
int send_amount = 0;
int recv_amount = 0;
// #pragma omp parallel
// This parallelization works unstable because of nonblocking send/recv.
// I expect that after omp thread is killed, OS kills some necessary information about ublocking send,
// it leads to unstable behaviour near MPI_Wait for sended messages below. Sometimes MPI breaks killing process.
#pragma omp sections private (ret)
{
// ==========================================
// send messages
// ==========================================
#pragma omp section
{
// left -> right
if (not procCoords.right){
ret = MPI_Isend(
send_message_lr, // void* buffer
procCoords.y_cells_num, // int count
MPI_DOUBLE, // MPI_Datatype datatype
procParams.rank +1, // int dest
DHP_PE_RA_FDM::StarLeftRight, // int tag
procParams.comm, // MPI_Comm comm
&(send_reqs_5_star[send_amount]) // MPI_Request *request
);
send_amount++;
if (ret != MPI_SUCCESS) throw DHP_PE_RA_FDM_Exception("Error sending message from left to right.");
}
// right -> left
if (not procCoords.left){
ret = MPI_Isend(
send_message_rl, // void* buffer
procCoords.y_cells_num, // int count
MPI_DOUBLE, // MPI_Datatype datatype
procParams.rank -1, // int dest
DHP_PE_RA_FDM::StarRightLeft, // int tag
procParams.comm, // MPI_Comm comm
&(send_reqs_5_star[send_amount]) // MPI_Request *request
);
send_amount++;
if (ret != MPI_SUCCESS) throw DHP_PE_RA_FDM_Exception("Error sending message from right to left.");
}
// top -> down
if (not procCoords.bottom){
ret = MPI_Isend(
send_message_td, // void* buffer
procCoords.x_cells_num, // int count
MPI_DOUBLE, // MPI_Datatype datatype
procParams.rank + procCoords.x_proc_num, // int dest
DHP_PE_RA_FDM::StarTopDown, // int tag
procParams.comm, // MPI_Comm comm
&(send_reqs_5_star[send_amount]) // MPI_Request *request
);
send_amount++;
if (ret != MPI_SUCCESS) throw DHP_PE_RA_FDM_Exception("Error sending message top -> down.");
}
// bottom -> up
if (not procCoords.top){
ret = MPI_Isend(
send_message_bu, // void* buffer
procCoords.x_cells_num, // int count
MPI_DOUBLE, // MPI_Datatype datatype
procParams.rank - procCoords.x_proc_num, // int dest
DHP_PE_RA_FDM::StarBottomUp, // int tag
procParams.comm, // MPI_Comm comm
&(send_reqs_5_star[send_amount]) // MPI_Request *request
);
send_amount++;
if (ret != MPI_SUCCESS) throw DHP_PE_RA_FDM_Exception("Error sending message bottom -> up.");
}
} // #pragma omp section
// ==========================================
// receive messages
// ==========================================
#pragma omp section
{
// left -> right
if (not procCoords.left){
ret = MPI_Irecv(
recv_message_lr, // void *buf
procCoords.y_cells_num, // int count
MPI_DOUBLE, // MPI_Datatype datatype
procParams.rank -1, // int source
DHP_PE_RA_FDM::StarLeftRight, // int tag
procParams.comm, // MPI_Comm comm
&(recv_reqs_5_star[recv_amount]) // MPI_Request *request
);
recv_amount++;
if (ret != MPI_SUCCESS) throw DHP_PE_RA_FDM_Exception("Error receiving message from left to right.");
}
// right -> left
if (not procCoords.right){
ret = MPI_Irecv(
recv_message_rl, // void *buf
procCoords.y_cells_num, // int count
MPI_DOUBLE, // MPI_Datatype datatype
procParams.rank +1, // int source
DHP_PE_RA_FDM::StarRightLeft, // int tag
procParams.comm, // MPI_Comm comm
&(recv_reqs_5_star[recv_amount]) // MPI_Request *request
);
recv_amount++;
if (ret != MPI_SUCCESS) throw DHP_PE_RA_FDM_Exception("Error receiving message from right to left.");
}
// top -> down
if (not procCoords.top){
ret = MPI_Irecv(
recv_message_td, // void *buf
procCoords.x_cells_num, // int count
MPI_DOUBLE, // MPI_Datatype datatype
procParams.rank - procCoords.x_proc_num, // int source
DHP_PE_RA_FDM::StarTopDown, // int tag
procParams.comm, // MPI_Comm comm
&(recv_reqs_5_star[recv_amount]) // MPI_Request *request
);
recv_amount++;
if (ret != MPI_SUCCESS) throw DHP_PE_RA_FDM_Exception("Error receiving message top -> down.");
}
// bottom -> up
if (not procCoords.bottom){
ret = MPI_Irecv(
recv_message_bu, // void *buf
procCoords.x_cells_num, // int count
MPI_DOUBLE, // MPI_Datatype datatype
procParams.rank + procCoords.x_proc_num, // int source
DHP_PE_RA_FDM::StarBottomUp, // int tag
procParams.comm, // MPI_Comm comm
&(recv_reqs_5_star[recv_amount]) // MPI_Request *request
);
recv_amount++;
if (ret != MPI_SUCCESS) throw DHP_PE_RA_FDM_Exception("Error receiving message bottom -> up.");
}
} // #pragma omp section
} // #pragma omp sections
// ==========================================
// wait receiving all messages
// ==========================================
ret = MPI_Waitall(
recv_amount, // int count,
recv_reqs_5_star, // MPI_Request array_of_requests[],
MPI_STATUS_IGNORE // MPI_Status array_of_statuses[]
);
if (ret != MPI_SUCCESS) throw DHP_PE_RA_FDM_Exception("Error waiting for recv's in Counting_5_star.");
// ==========================================
// process received messages
// ==========================================
// Counting squared regions n x m, where n > 1 and m > 1
if (procCoords.x_cells_num > 1 and procCoords.y_cells_num > 1)
{
#pragma omp parallel private(i, j)
{
// left -> right
if (not procCoords.left) {
i = 0;
#pragma omp for schedule (static) nowait
for (j = 1; j < procCoords.y_cells_num -1; j++){
delta_f[j * procCoords.x_cells_num + i] = (
(f[j * procCoords.x_cells_num + i ] - recv_message_lr[j] ) -
(f[j * procCoords.x_cells_num + i+1] - f[j * procCoords.x_cells_num + i])
) / hx2 + (
(f[ j * procCoords.x_cells_num + i] - f[(j-1) * procCoords.x_cells_num + i]) -
(f[(j+1) * procCoords.x_cells_num + i] - f[ j * procCoords.x_cells_num + i])
) / hy2;
}
}
// right -> left
if (not procCoords.right) {
i = procCoords.x_cells_num -1;
#pragma omp for schedule (static) nowait
for (j = 1; j < procCoords.y_cells_num -1; j++){
delta_f[j * procCoords.x_cells_num + i] = (
(f[j * procCoords.x_cells_num + i ] - f[j * procCoords.x_cells_num + i-1]) -
(recv_message_rl[j] - f[j * procCoords.x_cells_num + i ])
) / hx2 + (
(f[ j * procCoords.x_cells_num + i] - f[(j-1) * procCoords.x_cells_num + i]) -
(f[(j+1) * procCoords.x_cells_num + i] - f[ j * procCoords.x_cells_num + i])
) / hy2;
}
}
// top -> down
if (not procCoords.top) {
j = 0;
#pragma omp for schedule (static) nowait
for (i = 1; i < procCoords.x_cells_num -1; i++){
delta_f[j * procCoords.x_cells_num + i] = (
(f[j * procCoords.x_cells_num + i ] - f[j * procCoords.x_cells_num + i-1]) -
(f[j * procCoords.x_cells_num + i+1] - f[j * procCoords.x_cells_num + i ])
) / hx2 + (
(f[ j * procCoords.x_cells_num + i] - recv_message_td[i] ) -
(f[(j+1) * procCoords.x_cells_num + i] - f[j * procCoords.x_cells_num + i])
) / hy2;
}
}
// bottom -> up
if (not procCoords.bottom) {
j = procCoords.y_cells_num -1;
#pragma omp for schedule (static) nowait
for (i = 1; i < procCoords.x_cells_num -1; i++){
delta_f[j * procCoords.x_cells_num + i] = (
(f[j * procCoords.x_cells_num + i ] - f[j * procCoords.x_cells_num + i-1]) -
(f[j * procCoords.x_cells_num + i+1] - f[j * procCoords.x_cells_num + i ])
) / hx2 + (
(f[ j * procCoords.x_cells_num + i] - f[(j-1) * procCoords.x_cells_num + i]) -
(recv_message_bu[i] - f[ j * procCoords.x_cells_num + i])
) / hy2;
}
}
}
// ==========================================
// Counting delta_f's corners
// ==========================================
#pragma omp parallel
#pragma omp sections private(i, j)
{
#pragma omp section
{
j = 0;
i = 0;
if (not procCoords.top and not procCoords.left) {
delta_f[j * procCoords.x_cells_num + i] = (
(f[j * procCoords.x_cells_num + i ] - recv_message_lr [0] ) -
(f[j * procCoords.x_cells_num + i+1] - f[j * procCoords.x_cells_num + i ])
) / hx2 + (
(f[ j * procCoords.x_cells_num + i] - recv_message_td [0] ) -
(f[(j+1) * procCoords.x_cells_num + i] - f[ j * procCoords.x_cells_num + i])
) / hy2;
}
}
#pragma omp section
{
j = 0;
i = procCoords.x_cells_num -1;
if (not procCoords.top and not procCoords.right){
delta_f[j * procCoords.x_cells_num + i] = (
(f[j * procCoords.x_cells_num + i ] - f[j * procCoords.x_cells_num + i-1]) -
(recv_message_rl [0] - f[j * procCoords.x_cells_num + i ])
) / hx2 + (
(f[ j * procCoords.x_cells_num + i] - recv_message_td [procCoords.x_cells_num -1]) -
(f[(j+1) * procCoords.x_cells_num + i] - f[ j * procCoords.x_cells_num + i])
) / hy2;
}
}
#pragma omp section
{
j = procCoords.y_cells_num -1;
i = 0;
if (not procCoords.bottom and not procCoords.left){
delta_f[j * procCoords.x_cells_num + i] = (
(f[j * procCoords.x_cells_num + i ] - recv_message_lr[procCoords.y_cells_num -1] ) -
(f[j * procCoords.x_cells_num + i+1] - f[j * procCoords.x_cells_num + i ])
) / hx2 + (
(f[ j * procCoords.x_cells_num + i] - f[(j-1) * procCoords.x_cells_num + i]) -
(recv_message_bu [0] - f[ j * procCoords.x_cells_num + i])
) / hy2;
}
}
#pragma omp section
{
j = procCoords.y_cells_num -1;
i = procCoords.x_cells_num -1;
if (not procCoords.bottom and not procCoords.right){
delta_f[j * procCoords.x_cells_num + i] = (
(f[j * procCoords.x_cells_num + i ] - f[j * procCoords.x_cells_num + i-1]) -
(recv_message_rl [procCoords.y_cells_num -1] - f[j * procCoords.x_cells_num + i ])
) / hx2 + (
(f[ j * procCoords.x_cells_num + i] - f[(j-1) * procCoords.x_cells_num + i]) -
(recv_message_bu [procCoords.x_cells_num -1] - f[ j * procCoords.x_cells_num + i])
) / hy2;
}
}
} // #pragma omp sections
} else if (procCoords.x_cells_num > 1 and procCoords.y_cells_num == 1){
// Counting regions n x 1, where n > 1
// top -> down
// bottom -> up
j = 0;
if (not procCoords.top and not procCoords.bottom) {
#pragma omp parallel
#pragma omp for schedule (static)
for (i = 1; i < procCoords.x_cells_num -1; i++){
delta_f[j * procCoords.x_cells_num + i] = (
(f[j * procCoords.x_cells_num + i ] - f[j * procCoords.x_cells_num + i-1]) -
(f[j * procCoords.x_cells_num + i+1] - f[j * procCoords.x_cells_num + i ])
) / hx2 + (
(f[ j * procCoords.x_cells_num + i] - recv_message_td[i] ) -
(recv_message_bu[i] - f[j * procCoords.x_cells_num + i])
) / hy2;
}
}
// ==========================================
// Counting delta_f's corners
// ==========================================
#pragma omp parallel
#pragma omp sections private(i, j)
{
#pragma omp section
{
j = 0;
i = 0;
if (not procCoords.top and not procCoords.bottom and not procCoords.left) {
delta_f[j * procCoords.x_cells_num + i] = (
(f[j * procCoords.x_cells_num + i ] - recv_message_lr [0] ) -
(f[j * procCoords.x_cells_num + i+1] - f[j * procCoords.x_cells_num + i ])
) / hx2 + (
(f[ j * procCoords.x_cells_num + i] - recv_message_td [0] ) -
(recv_message_bu[0] - f[ j * procCoords.x_cells_num + i])
) / hy2;
}
}
#pragma omp section
{
j = 0;
i = procCoords.x_cells_num -1;
if (not procCoords.top and not procCoords.bottom and not procCoords.right){
delta_f[j * procCoords.x_cells_num + i] = (
(f[j * procCoords.x_cells_num + i ] - f[j * procCoords.x_cells_num + i-1]) -
(recv_message_rl [0] - f[j * procCoords.x_cells_num + i ])
) / hx2 + (
(f[ j * procCoords.x_cells_num + i] - recv_message_td [procCoords.x_cells_num -1]) -
(recv_message_bu [procCoords.x_cells_num -1] - f[ j * procCoords.x_cells_num + i])
) / hy2;
}
}
} // #pragma omp sections
} else if (procCoords.x_cells_num == 1 and procCoords.y_cells_num > 1){
// Counting regions 1 x m, where m > 1
// left -> right
// right -> left
i = 0;
if (not procCoords.left and not procCoords.right) {
#pragma omp parallel
#pragma omp for schedule (static)
for (j = 1; j < procCoords.y_cells_num -1; j++){
delta_f[j * procCoords.x_cells_num + i] = (
(f[j * procCoords.x_cells_num + i ] - recv_message_lr[j] ) -
(recv_message_rl[j] - f[j * procCoords.x_cells_num + i])
) / hx2 + (
(f[ j * procCoords.x_cells_num + i] - f[(j-1) * procCoords.x_cells_num + i]) -
(f[(j+1) * procCoords.x_cells_num + i] - f[ j * procCoords.x_cells_num + i])
) / hy2;
}
}
// ==========================================
// Counting delta_f's corners
// ==========================================
#pragma omp parallel
#pragma omp sections private(i, j)
{
#pragma omp section
{
j = 0;
i = 0;
if (not procCoords.left and not procCoords.right and not procCoords.top) {
delta_f[j * procCoords.x_cells_num + i] = (
(f[j * procCoords.x_cells_num + i ] - recv_message_lr [0] ) -
(recv_message_rl[0] - f[j * procCoords.x_cells_num + i ])
) / hx2 + (
(f[ j * procCoords.x_cells_num + i] - recv_message_td [0] ) -
(f[(j+1) * procCoords.x_cells_num + i] - f[ j * procCoords.x_cells_num + i])
) / hy2;
}
}
#pragma omp section
{
j = procCoords.y_cells_num -1;
i = 0;
if (not procCoords.left and not procCoords.right and not procCoords.bottom){
delta_f[j * procCoords.x_cells_num + i] = (
(f[j * procCoords.x_cells_num + i ] - recv_message_lr[j] ) -
(recv_message_rl[j] - f[j * procCoords.x_cells_num + i ] )
) / hx2 + (
(f[ j * procCoords.x_cells_num + i] - f[(j-1) * procCoords.x_cells_num + i]) -
(recv_message_bu [0] - f[ j * procCoords.x_cells_num + i])
) / hy2;
}
}
} // #pragma omp sections
} else if (procCoords.x_cells_num == 1 and procCoords.y_cells_num == 1){
// Counting regions 1 x 1
i = 0;
j = 0;
if (not procCoords.left and not procCoords.right and not procCoords.top and not procCoords.bottom){
delta_f[j * procCoords.x_cells_num + i] = (
(f[j * procCoords.x_cells_num + i ] - recv_message_lr[j] ) -
(recv_message_rl[j] - f[j * procCoords.x_cells_num + i ] )
) / hx2 + (
(f[ j * procCoords.x_cells_num + i] - recv_message_td[0] ) -
(recv_message_bu [0] - f[ j * procCoords.x_cells_num + i])
) / hy2;
}
}
// ==========================================
// wait sending all messages
// ==========================================
ret = MPI_Waitall(
send_amount, // int count,
send_reqs_5_star, // MPI_Request array_of_requests[],
MPI_STATUS_IGNORE // MPI_Status array_of_statuses[]
);
if (ret != MPI_SUCCESS) throw DHP_PE_RA_FDM_Exception("Error waiting for sends after last Counting_5_star.");
}
// ==================================================================================================================================================
// DHP_PE_RA_FDM::Initialize_F_border_with_zero
// ==================================================================================================================================================
void DHP_PE_RA_FDM::Initialize_F_border_with_zero (double* const f){
// boundary region
if (procCoords.top){
#pragma omp parallel
#pragma omp for schedule(static)
for (int i = 0; i < procCoords.x_cells_num; i++){
f[0 * procCoords.x_cells_num + i] = 0;
}
// memset(f, 0, procCoords.x_cells_num * sizeof(*f));
}
if (procCoords.bottom){
#pragma omp parallel
#pragma omp for schedule(static)
for (int i = 0; i < procCoords.x_cells_num; i++){
f[(procCoords.y_cells_num -1) * procCoords.x_cells_num + i] = 0;
}
// memset(f + (procCoords.y_cells_num -1) * procCoords.x_cells_num, 0, procCoords.x_cells_num * sizeof(*f));
}
if (procCoords.left){
#pragma omp parallel
#pragma omp for schedule (static)
for (int j = 0; j < procCoords.y_cells_num; j++){
f[j * procCoords.x_cells_num + 0] = 0;
}
}
if (procCoords.right){
#pragma omp parallel
#pragma omp for schedule (static)
for (int j = 0; j < procCoords.y_cells_num; j++){
f[j * procCoords.x_cells_num + (procCoords.x_cells_num -1)] = 0;
}
}
}
// ==================================================================================================================================================