Reformat. Merge improved solvers.

.clangd

@@ -1,3 +1,3 @@
-CompileFlags:                     # Tweak the parse settings
-  Add: [-I/usr/local/include]             # treat all files as C++, enable more warnings
+CompileFlags:
+  Add: [-I/usr/local/include, -I/opt/homebrew/include]
   Compiler: clang

PoissonSolver/2D-mpi/README.md

@@ -2,7 +2,7 @@
 
 ## Build
 
-1. Configure the toolchain and additional options in `config.mk`:
+1. Configure the tool chain and additional options in `config.mk`:
 ```
 # Supported: GCC, CLANG, ICC
 TAG ?= GCC
@@ -22,7 +22,7 @@ The verbosity options enable detailed output about affinity settings, allocation
 make
 ```
 
-You can build multiple toolchains in the same directory, but notice that the Makefile is only acting on the one currently set.
+You can build multiple tool chains in the same directory, but notice that the Makefile is only acting on the one currently set.
 Intermediate build results are located in the `<TOOLCHAIN>` directory.
 
 To output the executed commands use:

PoissonSolver/2D-mpi/src/main.c

@@ -4,18 +4,17 @@
  * Use of this source code is governed by a MIT-style
  * license that can be found in the LICENSE file.
  */
-#include <stdlib.h>
-#include <stdio.h>
-#include <unistd.h>
-#include <limits.h>
 #include <float.h>
+#include <limits.h>
 #include <mpi.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <unistd.h>
 
 #include "parameter.h"
 #include "solver.h"
 
-
-int main (int argc, char** argv)
+int main(int argc, char** argv)
 {
     int rank;
     Parameter params;
@@ -25,13 +24,13 @@ int main (int argc, char** argv)
     MPI_Comm_rank(MPI_COMM_WORLD, &rank);
     initParameter(&params);
 
-    if ( argc != 2 ) {
-        printf("Usage: %s <configFile>\n",argv[0]);
+    if (argc != 2) {
+        printf("Usage: %s <configFile>\n", argv[0]);
         exit(EXIT_SUCCESS);
     }
 
     readParameter(&params, argv[1]);
-    if ( rank == 0 ) {
+    if (rank == 0) {
         printParameter(&params);
     }
 

PoissonSolver/2D-mpi/src/parameter.c

@@ -12,41 +12,47 @@
 #include "util.h"
 #define MAXLINE 4096
 
-void initParameter(Parameter *param) {
+void initParameter(Parameter* param)
+{
     param->xlength = 1.0;
     param->ylength = 1.0;
-    param->imax = 100;
-    param->jmax = 100;
+    param->imax    = 100;
+    param->jmax    = 100;
     param->itermax = 1000;
-    param->eps = 0.0001;
-    param->omg = 1.8;
+    param->eps     = 0.0001;
+    param->omg     = 1.8;
 }
 
-void readParameter(Parameter *param, const char *filename) {
-    FILE *fp = fopen(filename, "r");
+void readParameter(Parameter* param, const char* filename)
+{
+    FILE* fp = fopen(filename, "r");
     char line[MAXLINE];
     int i;
 
-    if(!fp) {
+    if (!fp) {
         fprintf(stderr, "Could not open parameter file: %s\n", filename);
         exit(EXIT_FAILURE);
     }
 
-    while(!feof(fp)) {
+    while (!feof(fp)) {
         line[0] = '\0';
         fgets(line, MAXLINE, fp);
-        for(i = 0; line[i] != '\0' && line[i] != '#'; i++);
+        for (i = 0; line[i] != '\0' && line[i] != '#'; i++)
+            ;
         line[i] = '\0';
 
-        char *tok = strtok(line, " ");
-        char *val = strtok(NULL, " ");
+        char* tok = strtok(line, " ");
+        char* val = strtok(NULL, " ");
 
-        #define PARSE_PARAM(p,f)   if(strncmp(tok, #p, sizeof(#p) / sizeof(#p[0]) - 1) == 0) { param->p = f(val); }
-        #define PARSE_STRING(p)    PARSE_PARAM(p, strdup)
-        #define PARSE_INT(p)       PARSE_PARAM(p, atoi)
-        #define PARSE_REAL(p)      PARSE_PARAM(p, atof)
+#define PARSE_PARAM(p, f)                                                                \
+    if (strncmp(tok, #p, sizeof(#p) / sizeof(#p[0]) - 1) == 0) {                         \
+        param->p = f(val);                                                               \
+    }
+#define PARSE_STRING(p) PARSE_PARAM(p, strdup)
+#define PARSE_INT(p)    PARSE_PARAM(p, atoi)
+#define PARSE_REAL(p)   PARSE_PARAM(p, atof)
 
-        if(tok != NULL && val != NULL) {
+        if (tok != NULL && val != NULL) {
             PARSE_REAL(xlength);
             PARSE_REAL(ylength);
             PARSE_INT(imax);
@@ -60,7 +66,8 @@ void readParameter(Parameter *param, const char *filename) {
     fclose(fp);
 }
 
-void printParameter(Parameter *param) {
+void printParameter(Parameter* param)
+{
     printf("Parameters:\n");
     printf("Geometry data:\n");
     printf("\tDomain box size (x, y): %e, %e\n", param->xlength, param->ylength);

PoissonSolver/2D-mpi/src/parameter.h

@@ -8,7 +8,7 @@
 #define __PARAMETER_H_
 
 typedef struct {
-    double  xlength, ylength;
+    double xlength, ylength;
     int imax, jmax;
     int itermax;
     double eps, omg, gamma;

PoissonSolver/2D-mpi/src/solver.c

@@ -4,49 +4,53 @@
  * Use of this source code is governed by a MIT style
  * license that can be found in the LICENSE file.
  */
-#include <stdlib.h>
-#include <stdio.h>
 #include <math.h>
 #include <mpi.h>
+#include <stdio.h>
+#include <stdlib.h>
 
-#include "solver.h"
-#include "parameter.h"
 #include "allocate.h"
+#include "parameter.h"
+#include "solver.h"
 
-#define PI 3.14159265358979323846
-#define P(i,j) p[(j)*(imax+2) + (i)]
-#define RHS(i,j) rhs[(j)*(imax+2) + (i)]
+#define PI        3.14159265358979323846
+#define P(i, j)   p[(j) * (imax + 2) + (i)]
+#define RHS(i, j) rhs[(j) * (imax + 2) + (i)]
 
 static int sizeOfRank(int rank, int size, int N)
 {
-    return N/size + ((N%size>rank) ? 1 : 0);
+    return N / size + ((N % size > rank) ? 1 : 0);
 }
 
 static void print(Solver* solver)
 {
     double* p = solver->p;
-    int imax = solver->imax;
+    int imax  = solver->imax;
 
-    printf("### RANK %d #######################################################\n", solver->rank);
-    for( int j=0; j < solver->jmaxLocal+2; j++ ) {
+    printf("### RANK %d #######################################################\n",
+        solver->rank);
+    for (int j = 0; j < solver->jmaxLocal + 2; j++) {
         printf("%02d: ", j);
-        for( int i=0; i < solver->imax+2; i++ ) {
+        for (int i = 0; i < solver->imax + 2; i++) {
             printf("%12.8f  ", P(i, j));
         }
         printf("\n");
     }
-    fflush( stdout );
+    fflush(stdout);
 }
 
 static void exchange(Solver* solver)
 {
-    MPI_Request requests[4] = { MPI_REQUEST_NULL, MPI_REQUEST_NULL, MPI_REQUEST_NULL, MPI_REQUEST_NULL };
+    MPI_Request requests[4] = { MPI_REQUEST_NULL,
+        MPI_REQUEST_NULL,
+        MPI_REQUEST_NULL,
+        MPI_REQUEST_NULL };
 
     /* exchange ghost cells with top neighbor */
     if (solver->rank + 1 < solver->size) {
-        int top = solver->rank + 1;
-        double* src = solver->p + (solver->jmaxLocal) * (solver->imax+2) + 1;
-        double* dst = solver->p + (solver->jmaxLocal+1) * (solver->imax+2) + 1;
+        int top     = solver->rank + 1;
+        double* src = solver->p + (solver->jmaxLocal) * (solver->imax + 2) + 1;
+        double* dst = solver->p + (solver->jmaxLocal + 1) * (solver->imax + 2) + 1;
 
         MPI_Isend(src, solver->imax, MPI_DOUBLE, top, 1, MPI_COMM_WORLD, &requests[0]);
         MPI_Irecv(dst, solver->imax, MPI_DOUBLE, top, 2, MPI_COMM_WORLD, &requests[1]);
@@ -54,222 +58,382 @@ static void exchange(Solver* solver)
 
     /* exchange ghost cells with bottom neighbor */
     if (solver->rank > 0) {
-        int bottom = solver->rank - 1;
-        double* src = solver->p + (solver->imax+2) + 1;
+        int bottom  = solver->rank - 1;
+        double* src = solver->p + (solver->imax + 2) + 1;
         double* dst = solver->p + 1;
 
-        MPI_Isend(src,  solver->imax, MPI_DOUBLE, bottom, 2, MPI_COMM_WORLD, &requests[2]);
-        MPI_Irecv(dst,  solver->imax, MPI_DOUBLE, bottom, 1, MPI_COMM_WORLD, &requests[3]);
+        MPI_Isend(src, solver->imax, MPI_DOUBLE, bottom, 2, MPI_COMM_WORLD, &requests[2]);
+        MPI_Irecv(dst, solver->imax, MPI_DOUBLE, bottom, 1, MPI_COMM_WORLD, &requests[3]);
     }
 
     MPI_Waitall(4, requests, MPI_STATUSES_IGNORE);
 }
 
-void getResult(Solver *solver)
+void getResult(Solver* solver)
 {
     double* Pall = NULL;
     int *rcvCounts, *displs;
 
-    if ( solver->rank == 0 ) {
-        Pall = allocate(64, (solver->imax+2) * (solver->jmax+2) * sizeof(double));
-        rcvCounts = (int*) malloc(solver->size * sizeof(int));
-        displs = (int*) malloc(solver->size * sizeof(int));
-        rcvCounts[0] = solver->jmaxLocal * (solver->imax+2);
-        displs[0] = 0;
-        int cursor = rcvCounts[0];
+    if (solver->rank == 0) {
+        Pall = allocate(64, (solver->imax + 2) * (solver->jmax + 2) * sizeof(double));
+        rcvCounts    = (int*)malloc(solver->size * sizeof(int));
+        displs       = (int*)malloc(solver->size * sizeof(int));
+        rcvCounts[0] = solver->jmaxLocal * (solver->imax + 2);
+        displs[0]    = 0;
+        int cursor   = rcvCounts[0];
 
-        for ( int i=1; i < solver->size; i++ ) {
-            rcvCounts[i] = sizeOfRank(i, solver->size, solver->jmax) * (solver->imax+2);
-            displs[i] = cursor;
+        for (int i = 1; i < solver->size; i++) {
+            rcvCounts[i] = sizeOfRank(i, solver->size, solver->jmax) * (solver->imax + 2);
+            displs[i]    = cursor;
             cursor += rcvCounts[i];
         }
     }
 
-    int cnt = solver->jmaxLocal*(solver->imax+2);
-    double* sendbuffer = solver->p + (solver->imax+2);
-    MPI_Gatherv(sendbuffer, cnt, MPI_DOUBLE, Pall,
-            rcvCounts, displs, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+    int cnt            = solver->jmaxLocal * (solver->imax + 2);
+    double* sendbuffer = solver->p + (solver->imax + 2);
+    MPI_Gatherv(sendbuffer,
+        cnt,
+        MPI_DOUBLE,
+        Pall,
+        rcvCounts,
+        displs,
+        MPI_DOUBLE,
+        0,
+        MPI_COMM_WORLD);
 
-    if ( solver->rank == 0 ) {
+    if (solver->rank == 0) {
         writeResult(solver, Pall, "p.dat");
     }
 }
 
-void initSolver(Solver *solver, Parameter *params, int problem)
+void initSolver(Solver* solver, Parameter* params, int problem)
 {
     MPI_Comm_rank(MPI_COMM_WORLD, &(solver->rank));
     MPI_Comm_size(MPI_COMM_WORLD, &(solver->size));
-    solver->imax = params->imax;
-    solver->jmax = params->jmax;
+    solver->imax      = params->imax;
+    solver->jmax      = params->jmax;
     solver->jmaxLocal = sizeOfRank(solver->rank, solver->size, solver->jmax);
-    printf("RANK %d: %d\n", solver->rank, solver->jmaxLocal);
+    printf("RANK %d: imaxLocal : %d, jmaxLocal : %d\n",
+        solver->rank,
+        solver->imax,
+        solver->jmaxLocal);
 
-    solver->dx = params->xlength/params->imax;
-    solver->dy = params->ylength/params->jmax;
-    solver->ys =  solver->rank * solver->jmaxLocal * solver->dy;
-    solver->eps = params->eps;
-    solver->omega = params->omg;
+    solver->dx      = params->xlength / params->imax;
+    solver->dy      = params->ylength / params->jmax;
+    solver->ys      = solver->rank * solver->jmaxLocal * solver->dy;
+    solver->eps     = params->eps;
+    solver->omega   = params->omg;
     solver->itermax = params->itermax;
 
-    int imax = solver->imax;
-    int jmax = solver->jmax;
+    int imax      = solver->imax;
+    int jmax      = solver->jmax;
     int jmaxLocal = solver->jmaxLocal;
-    solver->p = allocate(64, (imax+2) * (jmaxLocal+2) * sizeof(double));
-    solver->rhs = allocate(64, (imax+2) * (jmax+2) * sizeof(double));
+    solver->p     = allocate(64, (imax + 2) * (jmaxLocal + 2) * sizeof(double));
+    solver->rhs   = allocate(64, (imax + 2) * (jmax + 2) * sizeof(double));
 
-    double dx = solver->dx;
-    double dy = solver->dy;
-    double* p = solver->p;
+    double dx   = solver->dx;
+    double dy   = solver->dy;
+    double* p   = solver->p;
     double* rhs = solver->rhs;
 
-    for( int j=0; j<jmaxLocal+2; j++ ) {
+    for (int j = 0; j < jmaxLocal + 2; j++) {
         double y = solver->ys + j * dy;
-        for( int i=0; i<imax+2; i++ ) {
-            P(i,j) = sin(4.0*PI*i*dx)+sin(4.0*PI*y);
+        for (int i = 0; i < imax + 2; i++) {
+            P(i, j) = sin(4.0 * PI * i * dx) + sin(4.0 * PI * y);
         }
     }
 
-    if(problem == 2) {
-        for( int j=0; j<jmax+2; j++ ) {
-            for( int i=0; i<imax+2; i++ ) {
-                RHS(i,j) = sin(2.0*PI*i*dx);
+    if (problem == 2) {
+        for (int j = 0; j < jmax + 2; j++) {
+            for (int i = 0; i < imax + 2; i++) {
+                RHS(i, j) = sin(2.0 * PI * i * dx);
             }
         }
     } else {
-        for( int j=0; j<jmax+2; j++ ) {
-            for( int i=0; i<imax+2; i++ ) {
-                RHS(i,j) = 0.0;
+        for (int j = 0; j < jmax + 2; j++) {
+            for (int i = 0; i < imax + 2; i++) {
+                RHS(i, j) = 0.0;
             }
         }
     }
 }
 
-void debug(Solver *solver)
+void debug(Solver* solver)
 {
-    int imax = solver->imax;
-    int rank = solver->rank;
+    int imax  = solver->imax;
+    int rank  = solver->rank;
     double* p = solver->p;
 
-/*     for( int j=0; j < solver->jmaxLocal+2; j++ ) { */
-/*         for( int i=0; i < solver->imax+2; i++ ) { */
-/*             P(i, j) = (double) rank; */
-/*         } */
-/*     } */
+    /*     for( int j=0; j < solver->jmaxLocal+2; j++ ) { */
+    /*         for( int i=0; i < solver->imax+2; i++ ) { */
+    /*             P(i, j) = (double) rank; */
+    /*         } */
+    /*     } */
 
-/*     for ( int i=0; i < solver->size; i++) { */
-/*         if ( i == rank ) { */
-/*            print(solver); */
-/*         } */
-/*         MPI_Barrier(MPI_COMM_WORLD); */
-/*     } */
+    /*     for ( int i=0; i < solver->size; i++) { */
+    /*         if ( i == rank ) { */
+    /*            print(solver); */
+    /*         } */
+    /*         MPI_Barrier(MPI_COMM_WORLD); */
+    /*     } */
 
-/*     if ( rank == 0 ) { */
-/*         printf("##########################################################\n"); */
-/*         printf("##  Exchange ghost layers\n"); */
-/*         printf("##########################################################\n"); */
-/*     } */
-/*     exchange(solver); */
+    /*     if ( rank == 0 ) { */
+    /*         printf("##########################################################\n"); */
+    /*         printf("##  Exchange ghost layers\n"); */
+    /*         printf("##########################################################\n"); */
+    /*     } */
+    /*     exchange(solver); */
 
-    for ( int i=0; i < solver->size; i++) {
-        if ( i == rank ) {
-           print(solver);
+    for (int i = 0; i < solver->size; i++) {
+        if (i == rank) {
+            print(solver);
         }
         MPI_Barrier(MPI_COMM_WORLD);
     }
 }
 
-int solve(Solver *solver)
+int solve(Solver* solver)
 {
     double r;
     int it = 0;
-    double res;
+    double res, res1;
 
-    int imax = solver->imax;
-    int jmax = solver->jmax;
+    int imax      = solver->imax;
+    int jmax      = solver->jmax;
     int jmaxLocal = solver->jmaxLocal;
-    double eps= solver->eps;
-    double omega = solver->omega;
-    int itermax = solver->itermax;
+    double eps    = solver->eps;
+    double omega  = solver->omega;
+    int itermax   = solver->itermax;
 
-    double dx2 = solver->dx * solver->dx;
-    double dy2 = solver->dy * solver->dy;
-    double idx2 = 1.0/dx2;
-    double idy2 = 1.0/dy2;
-    double factor = omega * 0.5 * (dx2*dy2) / (dx2+dy2);
-    double* p = solver->p;
-    double* rhs = solver->rhs;
+    double dx2    = solver->dx * solver->dx;
+    double dy2    = solver->dy * solver->dy;
+    double idx2   = 1.0 / dx2;
+    double idy2   = 1.0 / dy2;
+    double factor = omega * 0.5 * (dx2 * dy2) / (dx2 + dy2);
+    double* p     = solver->p;
+    double* rhs   = solver->rhs;
+    double epssq  = eps * eps;
 
     res = eps + 1.0;
 
-    while((res >= eps) && (it < itermax)) {
+    while ((res >= epssq) && (it < itermax)) {
         res = 0.0;
         exchange(solver);
 
-        for( int j=1; j<jmaxLocal+1; j++ ) {
-            for( int i=1; i<imax+1; i++ ) {
+        for (int j = 1; j < jmaxLocal + 1; j++) {
+            for (int i = 1; i < imax + 1; i++) {
 
-                r = RHS(i,j) - ((P(i-1,j) - 2.0 * P(i,j) + P(i+1,j)) * idx2 +
-                        (P(i,j-1) - 2.0 *P(i,j) + P(i,j+1)) * idy2);
+                r = RHS(i, j) - ((P(i - 1, j) - 2.0 * P(i, j) + P(i + 1, j)) * idx2 +
+                                    (P(i, j - 1) - 2.0 * P(i, j) + P(i, j + 1)) * idy2);
 
-                P(i,j) -= (factor * r);
+                P(i, j) -= (factor * r);
                 res += (r * r);
             }
         }
 
-        if ( solver->rank == 0 ) {
-            for( int i=1; i<imax+1; i++ ) {
-                P(i,0) = P(i,1);
+        if (solver->rank == 0) {
+            for (int i = 1; i < imax + 1; i++) {
+                P(i, 0) = P(i, 1);
             }
         }
 
-        if ( solver->rank == (solver->size-1) ) {
-            for( int i=1; i<imax+1; i++ ) {
-                P(i,jmaxLocal+1) = P(i,jmaxLocal);
+        if (solver->rank == (solver->size - 1)) {
+            for (int i = 1; i < imax + 1; i++) {
+                P(i, jmaxLocal + 1) = P(i, jmaxLocal);
             }
         }
 
-        for( int j=1; j<jmaxLocal+1; j++ ) {
-            P(0,j) = P(1,j);
-            P(imax+1, j) = P(imax, j);
+        for (int j = 1; j < jmaxLocal + 1; j++) {
+            P(0, j)        = P(1, j);
+            P(imax + 1, j) = P(imax, j);
         }
 
-        MPI_Allreduce(&res, &res, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD);
-        res = sqrt(res / (imax*jmax));
+        MPI_Allreduce(&res, &res1, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD);
+        res = res1;
+        res = sqrt(res / (imax * jmax));
 #ifdef DEBUG
-        if ( solver->rank == 0 ) {
-            printf("%d Residuum: %e\n",it, res);
+        if (solver->rank == 0) {
+            printf("%d Residuum: %e\n", it, res1);
         }
 #endif
         it++;
     }
 
-    if ( solver->rank == 0 ) {
-        printf("Solver took %d iterations\n",it);
+    if (solver->rank == 0) {
+        printf("Solver took %d iterations\n", it);
     }
-    if( res < eps ){
+    if (res < eps) {
         return 1;
-    } else{
+    } else {
         return 0;
     }
 }
 
+int solveRB(Solver* solver)
+{
+    double r;
+    int it = 0;
+    double res, res1;
+
+    int imax      = solver->imax;
+    int jmax      = solver->jmax;
+    int jmaxLocal = solver->jmaxLocal;
+    double eps    = solver->eps;
+    double omega  = solver->omega;
+    int itermax   = solver->itermax;
+
+    double dx2    = solver->dx * solver->dx;
+    double dy2    = solver->dy * solver->dy;
+    double idx2   = 1.0 / dx2;
+    double idy2   = 1.0 / dy2;
+    double factor = omega * 0.5 * (dx2 * dy2) / (dx2 + dy2);
+    double* p     = solver->p;
+    double* rhs   = solver->rhs;
+    int pass, jsw, isw;
+    double epssq = eps * eps;
+
+    res = eps + 1.0;
+
+    while ((res >= epssq) && (it < itermax)) {
+        res = 0.0;
+        jsw = 1;
+
+        for (pass = 0; pass < 2; pass++) {
+            isw = jsw;
+            exchange(solver);
+
+            for (int j = 1; j < jmaxLocal + 1; j++) {
+                for (int i = isw; i < imax + 1; i += 2) {
+
+                    double r = RHS(i, j) -
+                               ((P(i + 1, j) - 2.0 * P(i, j) + P(i - 1, j)) * idx2 +
+                                   (P(i, j + 1) - 2.0 * P(i, j) + P(i, j - 1)) * idy2);
+
+                    P(i, j) -= (factor * r);
+                    res += (r * r);
+                }
+                isw = 3 - isw;
+            }
+            jsw = 3 - jsw;
+        }
+
+        for (int i = 1; i < imax + 1; i++) {
+            P(i, 0)             = P(i, 1);
+            P(i, jmaxLocal + 1) = P(i, jmaxLocal);
+        }
+
+        for (int j = 1; j < jmaxLocal + 1; j++) {
+            P(0, j)        = P(1, j);
+            P(imax + 1, j) = P(imax, j);
+        }
+        MPI_Allreduce(&res, &res1, 1, MPI_DOUBLE, MPI_SUM, MPI_COMM_WORLD);
+        res = res1;
+        res = res / (double)(imax * jmax);
+#ifdef DEBUG
+        printf("%d Residuum: %e\n", it, res);
+#endif
+        it++;
+    }
+
+    if (solver->rank == 0) {
+        printf("Solver took %d iterations\n", it);
+    }
+    if (res < eps) {
+        return 1;
+    } else {
+        return 0;
+    }
+}
+
+int solveRBA(Solver* solver)
+{
+    double r;
+    int it = 0;
+    double res;
+
+    int imax      = solver->imax;
+    int jmax      = solver->jmax;
+    int jmaxLocal = solver->jmaxLocal;
+    double eps    = solver->eps;
+    double omega  = solver->omega;
+    int itermax   = solver->itermax;
+
+    double dx2    = solver->dx * solver->dx;
+    double dy2    = solver->dy * solver->dy;
+    double idx2   = 1.0 / dx2;
+    double idy2   = 1.0 / dy2;
+    double factor = omega * 0.5 * (dx2 * dy2) / (dx2 + dy2);
+    double* p     = solver->p;
+    double* rhs   = solver->rhs;
+    int pass, jsw, isw;
+    double rho   = solver->rho;
+    double epssq = eps * eps;
+
+    res = eps + 1.0;
+
+    while ((res >= epssq) && (it < itermax)) {
+        res = 0.0;
+        jsw = 1;
+
+        for (pass = 0; pass < 2; pass++) {
+            isw = jsw;
+            exchange(solver);
+
+            for (int j = 1; j < jmaxLocal + 1; j++) {
+                for (int i = isw; i < imax + 1; i += 2) {
+
+                    double r = RHS(i, j) -
+                               ((P(i + 1, j) - 2.0 * P(i, j) + P(i - 1, j)) * idx2 +
+                                   (P(i, j + 1) - 2.0 * P(i, j) + P(i, j - 1)) * idy2);
+
+                    P(i, j) -= (omega * factor * r);
+                    res += (r * r);
+                }
+                isw = 3 - isw;
+            }
+            jsw   = 3 - jsw;
+            omega = (it == 0 && pass == 0 ? 1.0 / (1.0 - 0.5 * rho * rho)
+                                          : 1.0 / (1.0 - 0.25 * rho * rho * omega));
+        }
+
+        for (int i = 1; i < imax + 1; i++) {
+            P(i, 0)             = P(i, 1);
+            P(i, jmaxLocal + 1) = P(i, jmaxLocal);
+        }
+
+        for (int j = 1; j < jmaxLocal + 1; j++) {
+            P(0, j)        = P(1, j);
+            P(imax + 1, j) = P(imax, j);
+        }
+
+        res = res / (double)(imax * jmax);
+#ifdef DEBUG
+        printf("%d Residuum: %e Omega: %e\n", it, res, omega);
+#endif
+        it++;
+    }
+
+    printf("Final omega: %f\n", omega);
+    printf("Solver took %d iterations to reach %f\n", it, sqrt(res));
+}
+
 void writeResult(Solver* solver, double* m, char* filename)
 {
-    int imax = solver->imax;
-    int jmax = solver->jmax;
+    int imax  = solver->imax;
+    int jmax  = solver->jmax;
     double* p = solver->p;
 
-    FILE *fp;
-    fp= fopen(filename, "w");
+    FILE* fp;
+    fp = fopen(filename, "w");
 
-    if (fp== NULL) {
+    if (fp == NULL) {
         printf("Error!\n");
         exit(EXIT_FAILURE);
     }
 
-    for( int j=0; j<jmax+2; j++ ) {
-        for( int i=0; i<imax+2; i++ ) {
-            fprintf(fp, "%f ", m[j*(imax+2) + i]);
+    for (int j = 0; j < jmax + 2; j++) {
+        for (int i = 0; i < imax + 2; i++) {
+            fprintf(fp, "%f ", m[j * (imax + 2) + i]);
         }
         fprintf(fp, "\n");
     }

PoissonSolver/2D-mpi/src/solver.h

@@ -9,8 +9,8 @@
 #include "parameter.h"
 
 typedef struct {
-    double  dx, dy;
-    double  ys;
+    double dx, dy;
+    double ys;
     int imax, jmax;
     int jmaxLocal;
     int rank;

PoissonSolver/2D-seq/p.dat

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PoissonSolver/2D-seq/poisson.par

@@ -8,15 +8,15 @@ name poisson
 
 xlength    1.0		# domain size in x-direction
 ylength    1.0		# domain size in y-direction
-imax       200		# number of interior cells in x-direction
-jmax       200		# number of interior cells in y-direction
+imax       300		# number of interior cells in x-direction
+jmax       300		# number of interior cells in y-direction
 
 # Pressure Iteration Data:
 # -----------------------
 
-itermax  10000		# maximal number of pressure iteration in one time step
+itermax  1000000		# maximal number of pressure iteration in one time step
 eps      0.000001	# stopping tolerance for pressure iteration
 rho      0.99999		# relaxation parameter for SOR iteration
-omg      1.998		# relaxation parameter for SOR iteration
+omg      1.2		# relaxation parameter for SOR iteration
 
 #===============================================================================

PoissonSolver/2D-seq/src/main.c

@@ -39,10 +39,14 @@ int main(int argc, char** argv)
     }
 
     readParameter(&params, argv[1]);
-    printParameter(&params);
+    // printParameter(&params);
     if (argc == 3) {
         variant = atoi(argv[2]);
     }
+    if (argc == 4) {
+        sscanf("%lf", argv[2], &params.omg);
+        sscanf("%lf", argv[2], &params.rho);
+    }
 
     initSolver(&solver, &params, 2);
     switch (variant) {
@@ -59,8 +63,8 @@ int main(int argc, char** argv)
         LIKWID_PROFILE("RBA", solveRBA);
         break;
     }
-    printf("Solution took %.2fs\n", endTime - startTime);
-    writeResult(&solver);
+    printf(" %.2fs\n", endTime - startTime);
+    // writeResult(&solver);
 
     LIKWID_MARKER_CLOSE;
     return EXIT_SUCCESS;

PoissonSolver/2D-seq/src/solver.c

@@ -108,7 +108,8 @@ void solve(Solver* solver)
         it++;
     }
 
-    printf("Solver took %d iterations to reach %f\n", it, sqrt(res));
+    // printf("Solver took %d iterations to reach %f\n", it, sqrt(res));
+    printf("%d, %f\n", it, solver->omega);
 }
 
 void solveRB(Solver* solver)
@@ -168,7 +169,8 @@ void solveRB(Solver* solver)
         it++;
     }
 
-    printf("Solver took %d iterations to reach %f\n", it, sqrt(res));
+    // printf("Solver took %d iterations to reach %f\n", it, sqrt(res));
+    printf("%d, %f\n", it, solver->omega);
 }
 
 void solveRBA(Solver* solver)
@@ -232,8 +234,9 @@ void solveRBA(Solver* solver)
         it++;
     }
 
-    printf("Final omega: %f\n", omega);
-    printf("Solver took %d iterations to reach %f\n", it, sqrt(res));
+    // printf("Final omega: %f\n", omega);
+    // printf("Solver took %d iterations to reach %f\n", it, sqrt(res));
+    printf("%d, %f\n", it, omega);
 }
 
 void writeResult(Solver* solver)