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"files.associations": { + "*.html": "html", + "*.toml": "toml", + "*.tcc": "c" + } +} \ No newline at end of file diff --git a/BE_OpenMP_2014/Makefile b/BE_OpenMP_2014/Makefile new file mode 100644 index 0000000..51e6793 --- /dev/null +++ b/BE_OpenMP_2014/Makefile @@ -0,0 +1,13 @@ +clean: + (cd derivative_free; make clean) + (cd linked_list; make clean) + (cd matrix_multiplication; make clean) + (cd reduction; make clean) + (cd synchronizations; make clean) + + + + + + + diff --git a/BE_OpenMP_2014/derivative_free/Makefile b/BE_OpenMP_2014/derivative_free/Makefile new file mode 100644 index 0000000..53dfbb6 --- /dev/null +++ b/BE_OpenMP_2014/derivative_free/Makefile @@ -0,0 +1,31 @@ +CC = gcc +LINK = $(CC) + +CFLAGS = -O3 -fopenmp -Wunknown-pragmas +# CFLAGS = -g -fopenmp +LDFLAGS = $(CFLAGS) +LIBS = -lm + +OBJS = aux.o main.o + +main: $(OBJS) + $(LINK) -o $@ $(LDFLAGS) $(OBJS) $(LIBS) + + + + + + +clean: + (rm -f *.o main) + + + +%.o: %.c + $(CC) $(CFLAGS) $(CINCLUDES) $(INCLUDES) $(CDEFS) $(PREC) -c $< +%.o: %.f90 + $(FC) $(FCFLAGS) $(FINCLUDES) $(INCLUDES) $(FDEFS) $(DEFINE_PREPEND)$(PREC) -c $< + + + + diff --git a/BE_OpenMP_2014/derivative_free/aux.c b/BE_OpenMP_2014/derivative_free/aux.c new file mode 100644 index 0000000..2e80e15 --- /dev/null +++ b/BE_OpenMP_2014/derivative_free/aux.c @@ -0,0 +1,31 @@ +#include +#include +#include + + + +long usecs (){ + struct timeval t; + + gettimeofday(&t,NULL); + return t.tv_sec*1000000+t.tv_usec; +} + + +void mysleep(double sec){ + + long s, e; + s=0; e=0; + s = usecs(); + while(((double) e-s)/1000000 < sec) + { + e = usecs(); + } + return; +} + +double evaluate(double x, double y){ + /* mysleep(0.000001); */ + return 1.34*x*x+1.15*y*y+2 + x*y -y-2*x+0.33; +} + diff --git a/BE_OpenMP_2014/derivative_free/aux.h b/BE_OpenMP_2014/derivative_free/aux.h new file mode 100644 index 0000000..665b3b9 --- /dev/null +++ b/BE_OpenMP_2014/derivative_free/aux.h @@ -0,0 +1,3 @@ +long usecs (); +double evaluate(double x, double y); +void mysleep(double sec); diff --git a/BE_OpenMP_2014/derivative_free/main.c b/BE_OpenMP_2014/derivative_free/main.c new file mode 100644 index 0000000..fab5bfd --- /dev/null +++ b/BE_OpenMP_2014/derivative_free/main.c @@ -0,0 +1,168 @@ +#include +#include +#include +#include "aux.h" +#include "omp.h" +#define MAX_THREADS 16 +#define MAXIT 1000000 + +double sequential_minimization(double s, int p, double x0, double y0); +double parallel_minimization(double s, int p, double x0, double y0); + +int main(int argc, char **argv) +{ + long t_start, t_end; + double s, x0, y0, z; + int i, p; + + // Command line argument: array length + if (argc == 3) + { + p = atoi(argv[1]); /* the number of points to be evaluated */ + s = atof(argv[2]); /* the step length */ + } + else + { + printf("Usage:\n\n ./main p s\n\nwhere p is the number of points around the current minimum where the function has to be evaluated\nand s is the step size.\n"); + return 1; + } + + /* No need to change this seetings unless for debugging */ + x0 = 10; + y0 = 10; + + t_start = usecs(); + z = sequential_minimization(s, p, x0, y0); + t_end = usecs(); + printf("Sequential time : %8.2f msec.\n", ((double)t_end - t_start) / 1000.0); + + printf("\n\n"); + + t_start = usecs(); + z = parallel_minimization(s, p, x0, y0); + t_end = usecs(); + printf("Parallel time : %8.2f msec.\n", ((double)t_end - t_start) / 1000.0); + + return 0; +} + +double parallel_minimization(double s, int p, double x0, double y0) +{ + int i; + int cnt = 0; + double x, y, z; + double nx, ny, nz; + double min_nx, min_ny, min_nz; + double xyz[MAX_THREADS][3]; + int running = 1; + + min_nx = x0; + min_ny = y0; + min_nz = evaluate(min_nx, min_ny); + +#pragma omp parallel shared(cnt, xyz, running) + + xyz[omp_get_thread_num()][0] = x0; + xyz[omp_get_thread_num()][1] = y0; + xyz[omp_get_thread_num()][2] = evaluate(xyz[omp_get_thread_num()][0], xyz[omp_get_thread_num()][1]); + + while (cnt < MAXIT && running) + { + x = xyz[omp_get_thread_num()][0]; + y = xyz[omp_get_thread_num()][1]; + z = xyz[omp_get_thread_num()][2]; + /* Evaluate function on the 8 points around the current minimum */ + /* The current minimum is included again in the evaluation for + simplicipy; this makes a total of 9 evaluations */ +#pragma omp for + for (i = 0; i < p; i++) + { + nx = x + s * cos(2.0 * M_PI * i / ((double)p)); + ny = y + s * sin(2.0 * M_PI * i / ((double)p)); + nz = evaluate(nx, ny); + /* printf("%f %f %f\n",nx,ny,nz); */ + /* If the evaluation at this point is lower than the current + minimum, set this point as the new minimum */ + if (nz < xyz[omp_get_thread_num()][2]) + { + xyz[omp_get_thread_num()][0] = nx; + xyz[omp_get_thread_num()][1] = ny; + xyz[omp_get_thread_num()][2] = nz; + } + } + /* Uncomment the line below if you want to debug */ + /* printf("%4d -- %5.2f %5.2f %10.4f\n",cnt,xyz[0][0], xyz[0][1], xyz[0][2]); */ + +#pragma omp master + { + // increment counter + cnt++; + + // get result from threads + for (i = 0; i < MAX_THREADS; i++) + { + if (min_nz > xyz[i][2]) + { + min_nx = xyz[i][0]; + min_ny = xyz[i][1]; + min_nz = xyz[i][2]; + } + } + + /* If no improvement over the old minimum, terminate */ + if (xyz[omp_get_thread_num()][2] >= z) + { + running = 0; + } + } + } + + printf("Minimum found is %.10f at x=%.4f, y=%.4f in %d steps\n", min_nx, min_nz, min_ny, cnt); + return min_nz; +} + +double sequential_minimization(double s, int p, double x0, double y0) +{ + + int cnt, i; + double z, x, y, nx, ny, nz; + double xyz[MAX_THREADS][3]; + + xyz[0][0] = x0; + xyz[0][1] = y0; + xyz[0][2] = evaluate(xyz[0][0], xyz[0][1]); + + for (cnt = 0; cnt < MAXIT; cnt++) + { + x = xyz[0][0]; + y = xyz[0][1]; + z = xyz[0][2]; + /* Evaluate function on the 8 points around the current minimum */ + /* The current minimum is included again in the evaluation for + simplicipy; this makes a total of 9 evaluations */ + for (i = 0; i < p; i++) + { + nx = x + s * cos(2.0 * M_PI * i / ((double)p)); + ny = y + s * sin(2.0 * M_PI * i / ((double)p)); + nz = evaluate(nx, ny); + /* printf("%f %f %f\n",nx,ny,nz); */ + /* If the evaluation at this point is lower than the current + minimum, set this point as the new minimum */ + if (nz < xyz[0][2]) + { + xyz[0][2] = nz; + xyz[0][0] = nx; + xyz[0][1] = ny; + } + } + /* Uncomment the line below if you want to debug */ + /* printf("%4d -- %5.2f %5.2f %10.4f\n",cnt,xyz[0][0], xyz[0][1], xyz[0][2]); */ + + /* If no improvement over the old minimum, terminate */ + if (xyz[0][2] >= z) + break; + } + + printf("Minimum found is %.10f at x=%.4f, y=%.4f in %d steps\n", xyz[0][2], xyz[0][0], xyz[0][1], cnt); + return xyz[0][2]; +} diff --git a/BE_OpenMP_2014/derivative_free/subject.pdf b/BE_OpenMP_2014/derivative_free/subject.pdf new file mode 100644 index 0000000000000000000000000000000000000000..6a0a6916e8873fe3d6050c3597b190331a0ac99d GIT binary patch literal 144130 zcmdSAV{~QBy7wL1wr$(CZQFLzvDvY0+Z{XU*iKeDR>yk!zW2SK=e+0a@#5oKV~tu> 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z#c}{2KPdAvKmzDDP%Q_t%PScoV?A)c17IpUvh-~l3zmh?&N^50=H*;V`E}xtBIAf+ zT7ab?GUpEWbEAsK553-tqk`=u(aD7#J+jQ)UP|UQyncL=Lfzhg0>71QqJq%@kS$!o)O_jg8w8@05Ii>=VSmrgfKD4&HQj~z< z%zT)0Qb!BzHalZ3pW>N*WgEP z7suMcwcy{D&D>`)+7~sOeJgJd9ZTaI9A{3`3mMk60JlMP>*-d_1dfiY_Eik4Zij{z z?kk)3GP*}-=^U7keD z2OedH#iyRI8`UwVq{*Fi{AYrfKHpj&P`duTjAN(!x8g-j!Po?vR@}zO*cDHc4v(E) z8=6+p+}-%=37S?FPm>;x5$~Tl1zTGuJhp#|ABBI+O>FVl{;3K783^HNatSjDv9JrU zF*6D<2{N)X(bLhhF$oGW@e9#0v#>GOD$oy_nUn3?{8xPD##SyzR4 zW}HS)9y$2>eyeJ@QrTs-t%1hbwsAO@%%qR6!*@V#mpJ5zE*a8M(Q#VOK)}FAs(WFS zc8kL_+Y8W?x}r-r9??S%1J~wd`Lea6Q3m*+U1W?sPC6 zwEc}F7jD%!k=ADoB(u)q+%UNUu)!trc4EjXR7Z4W2!AJld)NQ1z=#yLiwMp?#t#ZD zIdd^RJZ9|T2T95DN$DGt!R(MaOvb*~)R)a_6)<_%p+ zb8^~iq|xqjvleq{)=8feJYyM~JBwEpewlK!?#&h0Sw +#include +#include +#include +#include +#include "aux.h" + +unsigned long process_node(struct node *node){ + mysleep(0.00005); + return node->val+1; +} + + + +long usecs (){ + struct timeval t; + + gettimeofday(&t,NULL); + return t.tv_sec*1000000+t.tv_usec; +} + + +void mysleep(double sec){ + + long s, e; + s=0; e=0; + s = usecs(); + while(((double) e-s)/1000000 < sec) + { + e = usecs(); + } + return; +} + + + +void init_list(struct node **head){ + + struct node *curr; + int n, i; + + n = 10000; + + *head = (struct node*)malloc(sizeof(struct node)); + curr = *head; + + for(i=0; ival = i+1; + curr->next = (struct node*)malloc(sizeof(struct node)); + curr = curr->next; + } + curr->val=1; + curr->next = NULL; + + return; + +} diff --git a/BE_OpenMP_2014/linked_list/aux.h b/BE_OpenMP_2014/linked_list/aux.h new file mode 100644 index 0000000..506ffca --- /dev/null +++ b/BE_OpenMP_2014/linked_list/aux.h @@ -0,0 +1,11 @@ + +struct node{ + unsigned long val; + struct node *next; +}; + + +long usecs (); +unsigned long process_node(struct node *node); +void mysleep(double sec); +void init_list(struct node **head); diff --git a/BE_OpenMP_2014/linked_list/main.c b/BE_OpenMP_2014/linked_list/main.c new file mode 100644 index 0000000..2fbff53 --- /dev/null +++ b/BE_OpenMP_2014/linked_list/main.c @@ -0,0 +1,121 @@ +#include +#include +#include +#include +#include +#include "aux.h" +#include "omp.h" +#define MAX_SIZE 10000 + +unsigned long sequential_sweep(struct node *head); +unsigned long parallel_for_sweep(struct node *head); +unsigned long parallel_task_sweep(struct node *head); + +int main(int argc, char **argv) +{ + int n, i, s; + long t_start, t_end, save; + int *x; + unsigned long acc, result; + struct node *head, *curr; + + init_list(&head); + + t_start = usecs(); + result = sequential_sweep(head); + t_end = usecs(); + printf("Sequential time : %8.2f msec.", ((double)t_end - t_start) / 1000.0); + printf(" -- result: %5ld\n", result); + + t_start = usecs(); + result = parallel_for_sweep(head); + t_end = usecs(); + printf("Parallel for time : %8.2f msec.", ((double)t_end - t_start) / 1000.0); + printf(" -- result: %5ld\n", result); + + t_start = usecs(); + result = parallel_task_sweep(head); + t_end = usecs(); + + printf("Parallel task time : %8.2f msec.", ((double)t_end - t_start) / 1000.0); + printf(" -- result: %5ld\n", result); + + return 0; +} + +unsigned long sequential_sweep(struct node *head) +{ + + unsigned long acc; + struct node *curr; + + curr = head; + acc = 0; + while (curr) + { + /* Loop until the last element in the list and accumulate the + result of nodes processing */ + acc += process_node(curr); + curr = curr->next; + } + + return acc; +} + +unsigned long parallel_for_sweep(struct node *head) +{ + unsigned int size = 0; + unsigned long acc = 0; + struct node *curr = head; + + struct node **pointers = malloc(sizeof(struct node *) * MAX_SIZE); // utiliser un std::vector en c++ + + // on trouve la longuer de la liste + while (curr) + { + pointers[size++] = curr; + curr = curr->next; + } + +#pragma omp parallel + { +#pragma omp for reduction(+ : acc) + for (int i = 0; i < size; i++) + { + acc += process_node(pointers[i]); + } + +#pragma omp master + { + free(pointers); + } + } + + return acc; +} + +unsigned long parallel_task_sweep(struct node *head) +{ + unsigned long acc; + struct node *curr; + +#pragma omp parallel + { + curr = head; + acc = 0; + +#pragma omp single + { + while (curr) + { +#pragma omp task firstprivate(curr) + { + acc += process_node(curr); + } + curr = curr->next; + } + } + } + + return acc; +} diff --git a/BE_OpenMP_2014/linked_list/subject.pdf b/BE_OpenMP_2014/linked_list/subject.pdf new file mode 100644 index 0000000000000000000000000000000000000000..64618124b005eedbd367f63f657dd20a6c53d0b0 GIT binary patch literal 100121 zcma&MQ;aW6@GUyFZQHiZJ=|m4wti#Vwmo}n+qP|6_q+H%os-YmcnyY?h>6JF$cl)M4~9|B)Xv<+f{2-$n~muIIWUY8mNqV?PDG3n zHij;yVy4FSCZ;d~0x-@lPNs&oFdiE<8q;x?Ey%sM`URqhZpe@KDr8C8{$Nr{`Scw^ zh?WRm9J^YYnj2CNH$4#VyS#(M)RBW3@6)Y4-QDkZ-Ap0%axg_vn+hSS zsnExf%2=gcbasftaap~q*WYTXSq^JAXlYrc1QJ>?z9EbRhns$Dk@C&k5%P`S=P&jS zu9{H&UCbzTYPr(XkvU4y&cd9qufk)9iLml$C{%1J9nomK1>~#*7XB+9c^3Xb@u9`a zfyMtQWWi~ZVf6UyQp74M$zo~w9?9$dt2`T$0=YAe+W1!n-O5UKgHPvfFNx<+uRG+Q 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zW5zOsL>uBLV!5MWA3m}~A84@xH5xpg1jV;?oCl;twQC&7*lS)noHTipm8^M_(4fFs z09U}<`4yy)=eM_Jc*P%tqM=c$M%7IOLNK>PECM4zIjHzG?2+uTw{ANZA&YtoPjBY{ z0Ui(`OiW%`f6SoAOCik*M165b443TvYL%V4bp!qTq5X5kddb~fw8_Nfx5cjn(m~q0kYQQc zUQiWp0;^o!1Om+j)Gh?53~zZmvbV1L^D>%WsqjL)?<%+8$X-7U6|z3AE$(NIdt;cX zk3MC-O`-gDUlx)yJpnDnkKYp?kq(L-H?*A0nhc`lTY;eW)28+1n*reM7j9i&?k_W8 zc@BNyo0grmmuit;>MuI(itbm{|5`>T55GG<;@wm`))hFiY1?vd9Hk!(W-rfoCfIv` z^~@)(Il26+y&snxOS4hDr_QZQe*mrFx2?8*9bZrzM8!MP6zp9j!k>z8uNOU>1n6^) zRb9e5fS$!~#{GQi*#D3Las7YaeJvGp3m8Ue2QzaoB3&jTHg0_wMpbJc^M7YBjG9Ec z%tWk2%>U+8939<=*f{>JSNX4S3r8Zh|4OI+Yam9X%O}nz!XzrrCdMJcD#0br#Ub`j zZa|EcoAZCnz{J_f)Xm(`PJyrzpe;VBdFdq?3Wg@8khTU9jSbn;) +#include +#include +#include +#include +#include "aux.h" + +int ISEED[4] = {0, 0, 0, 1}; +int IONE = 1; +char NoTran = 'N'; +double DONE = 1.0, DMONE = -1.0; +double alpha = 1.0, beta = 1.0; + +void init_data(block ***a, block ***b, block ***c, block ***d, int n, int nb) +{ + + int i, j, k, nbnb; + + nbnb = nb * nb; + + *a = (block **)malloc(n * sizeof(block *)); + *b = (block **)malloc(n * sizeof(block *)); + *c = (block **)malloc(n * sizeof(block *)); + *d = (block **)malloc(n * sizeof(block *)); + + for (i = 0; i < n; i++) + { + (*a)[i] = (block *)malloc(n * sizeof(block)); + (*b)[i] = (block *)malloc(n * sizeof(block)); + (*c)[i] = (block *)malloc(n * sizeof(block)); + (*d)[i] = (block *)malloc(n * sizeof(block)); + for (j = 0; j < n; j++) + { + (*a)[i][j].b = (double *)malloc(nbnb * sizeof(double)); + (*b)[i][j].b = (double *)malloc(nbnb * sizeof(double)); + (*c)[i][j].b = (double *)malloc(nbnb * sizeof(double)); + (*d)[i][j].b = (double *)malloc(nbnb * sizeof(double)); + dlarnv_(&IONE, ISEED, &nbnb, (*a)[i][j].b); + dlarnv_(&IONE, ISEED, &nbnb, (*b)[i][j].b); + dlarnv_(&IONE, ISEED, &nbnb, (*c)[i][j].b); + /* for(k=0; k mx) + mx = abs((c[i][j].b)[k] - (d[i][j].b)[k]); + } + } + } + + printf("The maximum difference on coefficients is %e\n", mx); +} + +long usecs() +{ + struct timeval t; + + gettimeofday(&t, NULL); + return t.tv_sec * 1000000 + t.tv_usec; +} diff --git a/BE_OpenMP_2014/matrix_multiplication/aux.h b/BE_OpenMP_2014/matrix_multiplication/aux.h new file mode 100644 index 0000000..470da1a --- /dev/null +++ b/BE_OpenMP_2014/matrix_multiplication/aux.h @@ -0,0 +1,19 @@ +struct { + double *b; +} typedef block; + + +void init_data(block ***a, block ***b, block ***c, block ***d, int n, int nb); +long usecs (); +void block_mult(block a, block b, block c, int nb); +void compare_matrices(block **c, block **d, int n, int nb); + +void dgemm_ (char *TRANSA, char *TRANSB, + int *M, int *N, int *K, + double *ALPHA, + double *A, int *LDA, + double *B, int *LDB, + double *BETA, + double *C, int *LDC); + +void dlarnv_(int *idist, int *iseed, int *n, double *x); diff --git a/BE_OpenMP_2014/matrix_multiplication/main.c b/BE_OpenMP_2014/matrix_multiplication/main.c new file mode 100644 index 0000000..1e6a960 --- /dev/null +++ b/BE_OpenMP_2014/matrix_multiplication/main.c @@ -0,0 +1,77 @@ +#include +#include +#include +#include +#include +#include +#include "aux.h" + +void sequential_product(block **a, block **b, block **c, int n, int nb); +void parallel_product(block **a, block **b, block **c, int n, int nb); + +int main(int argc, char **argv) +{ + int n, nb; + long t_start, t_end; + block **a, **b, **c, **d; + + // Command line argument: array length + if (argc == 2) + { + n = atoi(argv[1]); /* for a matrix of size nxn blocks */ + } + else + { + printf("Usage:\n\n ./main n\n\nwhere n is the number of blocks in rows and columns of the matrices.\n"); + return 1; + } + + /* Statically fixed to 100, no need to change this unless for debugging */ + nb = 100; + + init_data(&a, &b, &c, &d, n, nb); + + /* Sequential version */ + t_start = usecs(); + sequential_product(a, b, c, n, nb); + t_end = usecs(); + printf("Sequential time : %8.2f msec.\n", ((double)t_end - t_start) / 1000.0); + + /* Parallel with tasks */ + t_start = usecs(); + parallel_product(a, b, d, n, nb); + t_end = usecs(); + printf("Parallel time : %8.2f msec.\n", ((double)t_end - t_start) / 1000.0); + + /* Comprare the two resulting matrices */ + compare_matrices(c, d, n, nb); + return 0; +} + +void sequential_product(block **a, block **b, block **c, int n, int nb) +{ + int i, j, k; + + for (i = 0; i < n; i++) + for (j = 0; j < n; j++) + for (k = 0; k < n; k++) + { + block_mult(a[i][k], b[k][j], c[i][j], nb); + } +} + +void parallel_product(block **a, block **b, block **c, int n, int nb) +{ + int i, j, k; + +#pragma omp parallel private(i, j, k) +#pragma omp single + + for (i = 0; i < n; i++) + for (j = 0; j < n; j++) +#pragma omp task firstprivate(i, j) + for (k = 0; k < n; k++) + { + block_mult(a[i][k], b[k][j], c[i][j], nb); + } +} diff --git a/BE_OpenMP_2014/matrix_multiplication/subject.pdf b/BE_OpenMP_2014/matrix_multiplication/subject.pdf new file mode 100644 index 0000000000000000000000000000000000000000..b812a7080e21d02a8cf0749ba2bc75d3bcafb56c GIT binary patch literal 143375 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b/BE_OpenMP_2014/reduction/main.c new file mode 100644 index 0000000..e65aa75 --- /dev/null +++ b/BE_OpenMP_2014/reduction/main.c @@ -0,0 +1,79 @@ +#include +#include +#include +#include +#include "omp.h" +#include "aux.h" + +int sequential_reduction(int *x, int n); +int parallel_reduction(int *x, int n); + +int main(int argc, char **argv) +{ + int n, i, result; + long t_start, t_end; + int *x; + + // Command line argument: array length + if (argc == 2) + { + n = atoi(argv[1]); /* the length of the pref */ + } + else + { + printf("Usage:\n\n ./main n\n\nwhere n is the length of the array to be used.\n"); + return 1; + } + + x = (int *)malloc(sizeof(int) * n); + + /* Fill the array with random numbers */ + srand(1); + for (i = 0; i < n; i++) + x[i] = rand() % n; + + /* Sequential reduction */ + t_start = usecs(); + result = sequential_reduction(x, n); + t_end = usecs(); + printf("Sequential time : %8.2f msec. --- Result: %d\n", ((double)t_end - t_start) / 1000.0, result); + + /* Fill the array with random numbers */ + srand(1); + for (i = 0; i < n; i++) + x[i] = rand() % n; + + /* Parallel reduction */ + t_start = usecs(); + result = parallel_reduction(x, n); + t_end = usecs(); + printf("Parallel time : %8.2f msec. --- Result: %d\n", ((double)t_end - t_start) / 1000.0, result); + + return 0; +} + +int sequential_reduction(int *x, int n) +{ + int i; + + for (i = 1; i < n; i++) + operator(x, x + i); + + return x[0]; +} + +int parallel_reduction(int *x, int n) +{ + int i; + int red = 0; + +#pragma omp parallel + +#pragma omp for reduction(+ : red) + for (i = 0; i < n; i++) + { + operator(&red, x + i); + } + + return red; +} diff --git a/BE_OpenMP_2014/reduction/subject.pdf b/BE_OpenMP_2014/reduction/subject.pdf new file mode 100644 index 0000000000000000000000000000000000000000..1050e9d822199073b955b3cc48a90075825e0fde GIT binary patch literal 108907 zcma&LLy$0B(4|?nZM)vGZQHhO+qP}nwr$(CJzq@Ezv_;d&Q<2-MlLe)x#uLQys#(@ 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+CC = gcc +LINK = $(CC) + +CFLAGS = -O3 -fopenmp -Wunknown-pragmas +# CFLAGS = -g -fopenmp +LDFLAGS = $(CFLAGS) +LIBS = -lm + +OBJS = aux.o main.o + +main: $(OBJS) + $(LINK) -o $@ $(LDFLAGS) $(OBJS) $(LIBS) + + +clean: + (rm -f *.o main) + + + +%.o: %.c + $(CC) $(CFLAGS) $(CINCLUDES) $(INCLUDES) $(CDEFS) $(PREC) -c $< +%.o: %.f90 + $(FC) $(FCFLAGS) $(FINCLUDES) $(INCLUDES) $(FDEFS) $(DEFINE_PREPEND)$(PREC) -c $< diff --git a/BE_OpenMP_2019/band_matrix/aux.c b/BE_OpenMP_2019/band_matrix/aux.c new file mode 100644 index 0000000..173b5ab --- /dev/null +++ b/BE_OpenMP_2019/band_matrix/aux.c @@ -0,0 +1,101 @@ +#include +#include +#include +#include +#include +#include "aux.h" + +int ISEED[4] = {0,0,0,1}; +int IONE=1; +char NoTran = 'N'; +double DONE=1.0, DMONE=-1.0; +double alpha=1.0, beta=1.0; + +void init_data(double **A, double **Ac, double *x, int n, int b){ + + int i, j, k, nbnb; + + + for(i=0; i=n) { + Ac[i-j+b][j] = 0.0; + } else { + Ac[i-j+b][j] = A[i][j]; + } + } + } + + /* for(i=0; imx) + mx = abs(y1[i]); + if(abs(y1[i]-y2[i])>mxdif) + mxdif = abs(y1[i]-y2[i]); + } + + if(mxdif/mx>1e-10){ + printf("!!! Result is wrong !!!\n"); + } else { + printf("Result is correct\n"); + } + + return; + + +} + + + +long usecs (){ + struct timeval t; + + gettimeofday(&t,NULL); + return t.tv_sec*1000000+t.tv_usec; +} diff --git a/BE_OpenMP_2019/band_matrix/aux.h b/BE_OpenMP_2019/band_matrix/aux.h new file mode 100644 index 0000000..3c77ac0 --- /dev/null +++ b/BE_OpenMP_2019/band_matrix/aux.h @@ -0,0 +1,17 @@ +void init_data(double **A, double **Ac, double *x, int n, int b); +long usecs (); + +void dgemm_ (char *TRANSA, char *TRANSB, + int *M, int *N, int *K, + double *ALPHA, + double *A, int *LDA, + double *B, int *LDB, + double *BETA, + double *C, int *LDC); + +void dlarnv_(int *idist, int *iseed, int *n, double *x); + +void matmul_compact_row(double **A, double *x, double *y, int n, int b); +void matmul_compact_diag(double **A, double *x, double *y, int n, int b); +void matmul(double **A, double *x, double *y, int n); +void check_result(double *y1, double *y2, int n); diff --git a/BE_OpenMP_2019/band_matrix/main.c b/BE_OpenMP_2019/band_matrix/main.c new file mode 100644 index 0000000..f4d12fc --- /dev/null +++ b/BE_OpenMP_2019/band_matrix/main.c @@ -0,0 +1,142 @@ +#include +#include +#include +#include +#include +#include "omp.h" +#include "aux.h" + +int main(int argc, char **argv) +{ + int n, b, i; + long t_start, t_end; + double **A, **Ac, *x, *y1, *y2, *y3; + double diff; + + // Command line argument: array length + if (argc == 3) + { + n = atoi(argv[1]); /* the matrix size */ + b = atoi(argv[2]); /* the band width */ + } + else + { + printf("Usage:\n\n ./main n b\n\nwhere n is the number of blocks in rows and\n"); + printf("columns of the matrix and b the band width.\n"); + return 1; + } + + printf("\n"); + + A = (double **)malloc(n * sizeof(double *)); + Ac = (double **)malloc((2 * b + 1) * sizeof(double *)); + x = (double *)malloc(n * sizeof(double)); + y1 = (double *)malloc(n * sizeof(double)); + y2 = (double *)malloc(n * sizeof(double)); + y3 = (double *)malloc(n * sizeof(double)); + + for (i = 0; i < n; i++) + { + A[i] = (double *)malloc(n * sizeof(double)); + } + + for (i = 0; i < 2 * b + 1; i++) + { + Ac[i] = (double *)malloc(n * sizeof(double)); + } + + init_data(A, Ac, x, n, b); + + /* Sequential version */ + t_start = usecs(); + matmul(A, x, y1, n); + t_end = usecs(); + printf("Full matrix. Time : %8.2f msec.\n", ((double)t_end - t_start) / 1000.0); + + /* Parallel with tasks */ + t_start = usecs(); + matmul_compact_row(Ac, x, y2, n, b); + t_end = usecs(); + printf("Compact by rows. Time : %8.2f msec. ", ((double)t_end - t_start) / 1000.0); + /* Comprare the two resulting vectors */ + check_result(y1, y2, n); + + /* Parallel with tasks */ + t_start = usecs(); + matmul_compact_diag(Ac, x, y3, n, b); + t_end = usecs(); + printf("Compact by diagonals. Time : %8.2f msec. ", ((double)t_end - t_start) / 1000.0); + check_result(y1, y3, n); + + return 0; +} + +void matmul(double **A, double *x, double *y, int n) +{ + int i, j; + + for (i = 0; i < n; i++) + { + y[i] = 0; + for (j = 0; j < n; j++) + { + y[i] += A[i][j] * x[j]; + } + } + + return; +} + +void matmul_compact_row(double **Ac, double *x, double *y, int n, int b) +{ + int i, j; + +#pragma omp parallel private(i, j) + +#pragma omp single + for (i = 0; i < n; i++) + { + y[i] = 0; + } + + for (j = 0; j < n; j++) + { +#pragma omp for + for (i = j - b; i < j + b + 1; i++) + { + if (i >= 0 || i < n) + { + y[i] += Ac[i - j + b][j] * x[j]; + } + } + } + + return; +} + +void matmul_compact_diag(double **Ac, double *x, double *y, int n, int b) +{ + int i, j; + +#pragma omp parallel private(i, j) + +#pragma omp single + for (i = 0; i < n; i++) + { + y[i] = 0; + } + + for (i = 0; i < 2 * b + 1; i++) + { +#pragma omp for + for (j = 0; j < n; j++) + { + if ((j - b + i) >= 0 && (j - b + i) < n) + { + y[j - b + i] += Ac[i][j] * x[j]; + } + } + } + + return; +} diff --git a/BE_OpenMP_2019/band_matrix/subject.pdf b/BE_OpenMP_2019/band_matrix/subject.pdf new file mode 100644 index 0000000000000000000000000000000000000000..9cc61f35e1d32dd4678d41eca4b4668f4adc8adc GIT binary patch literal 145155 zcma&MQ;aZ75T-k}XTGs*+qP}nwr$(CZQHhOoBQv{?$vH`wl6wWslMvGNk9Eok;n^+ z(lF4nK#|NZkE}zn;?v{X8CpVdb3@Tdo7kE;o8vPwvT)%4e+!CE)WX`?#1WrP)Y`z= zMA*d0&e#Nsmlw*(+0n$n2FiVNM@uT{s1>pIu5LepQj2~Uz>TUxQ*DHzjB>)H(sBH~ zKcSt7Gm)K?BX{TL3mQs(zJl=tcDXeJBK*O1a6 z)V|c%@rl4dLzFR>B$I-WF?X9f>93UUbjze6dj|C6g72x7mT%TC&mjjjs{b+Z8}zCJc*6mFv44jY zzbur&pH1czyWR2hW4C$|%vhoSz(|2^va}ylj?2;)ypOd8S4+=t{K~tBcJ<`U(d$m) zrV_%&R&y2pntTO(j^=Hp3!gicP4>ONU>jwo_^fd~kQkqPateJS`SCH3vL=r@W2WTa zg;#pja_kEXDWIjK0*|5#5j!kBt0EwIqB&_mi_wR#o?Usr#E95RoW5HXld7^z$=PNz0`fyy| zJs7zy#Zpw`dSSZ_GRCO9Ve-ZTKv4u~2IA@q{-XUnPeKNarTg1eFS`>#za0VCX+Bd$ zkQz_Q&+&0N)7g9r+V5Jpb~d_=SC5#wIKA|muM|bh{W!##sare+yv;BJ1&Tr;+EZP= 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zIrpXk>qD-e+w1GfW$0wq3k|W4)F?-AG0`Vbw*v9PrG2Efd7EqcIVb30>*S!W=wm0Y z>`vgC;>+jK5)LetQWQx9JBgutI~|o@zxMCbvg#rH#cvtb9!eb^#u&hrMMwDy-n1XSZLer|8c*q+Tfd-ASFNZY*S7Y`cuwalf1TX7 zb8_?}&oE^ASp+?OpCjHuwK01JTmyG_a7-UYzU_5Holf5Oe| z0sjU2|5FhGX!8n*in0oEaEOVqim-69i-`!av2X%8gn>frOzeW9Kn{Mu|2^b;l>foP zO#f|83i$tlg~_LQ_PJ^EMhPm!Q}e4gK#*(;Ec^}%O$e| zNDa^_R_?`gM~@~a`2MIT`6a1jhT&->M_z +#include +#include + +long usecs (){ + struct timeval t; + + gettimeofday(&t,NULL); + return t.tv_sec*1000000+t.tv_usec; +} diff --git a/BE_OpenMP_2019/lu_tasks/auxf.f90 b/BE_OpenMP_2019/lu_tasks/auxf.f90 new file mode 100644 index 0000000..f8abd99 --- /dev/null +++ b/BE_OpenMP_2019/lu_tasks/auxf.f90 @@ -0,0 +1,28 @@ +function dnrm2_c(n, x, incx) bind(c) + use iso_c_binding + + integer(c_int), value :: n, incx + real(c_double) :: x(n), dnrm2_c + + real(kind(1.d0)) :: dnrm2 + + dnrm2_c = dnrm2(n, x(1), incx) + + return + +end function dnrm2_c + + +function dnrmf_c(m, n, a, lda) bind(c) + + use iso_c_binding + + integer(c_int), value :: m, n, lda + real(c_double) :: a(lda,n), dnrmf_c + + real(kind(1.d0)) :: dlange, w + + + dnrmf_c = dlange('F', m, n, a(1,1), lda, w) + +end function dnrmf_c diff --git a/BE_OpenMP_2019/lu_tasks/common.h b/BE_OpenMP_2019/lu_tasks/common.h new file mode 100644 index 0000000..dad4e23 --- /dev/null +++ b/BE_OpenMP_2019/lu_tasks/common.h @@ -0,0 +1,41 @@ +typedef struct infostruct{ + int B; // The size of block-columns + int NB; // The number of block-columns in a matrix + int N; // The total size of the matrix N=B*NB + int *ipiv; // Permutation vector for numerical pivoting +} info_type; + + +typedef double** Matrix; + +/* typedef struct matstruct{ */ + /* double **BC; // Permutation vector for numerical pivoting */ +/* } Matrix; */ + + +typedef enum {PNL = 0, UPD, END, NONE} Type; + +void dgetrf_(int *m, int *n, double *a, int *lda, int *ipiv, int *info); +void dtrsm_(char *side, char *uplo, char *transa, char *diag, + int *m, int *n, const double *alpha, const double *A, int *lda, + double *B, int *ldb); +void dlaswp_(int *n, double * a, int *lda, int *k1, int *k2, int *ipiv, int *incx); +void dlarnv_(int *idist, int *iseed, int *n, double *x); +void dgetrs_(char *t, int *n, int *nrhs, double *A, int *lda, int *ipiv, double *x, int *incx, int *info); +void dgemv_(char *t, int *m, int *n, const double *alpha, const double *A, int *lda, const double *x, int *incx, const double *beta, double *y, int *incy); +double dnrm2_c(int n, double *x, int incx); +double dnrmf_c(int m, int n, double *A, int lda); + +void dgemm_(char *ta, char *tb, int *m, int *n, int *k, const double *alpha, const double *A, int *lda, const double *B, int *ldB, const double *beta, const double *c, int *ldc); + +void panel(double *P, int k, info_type info ); +void update(double *P, double *U, int k, int j, info_type info); +void backperm(Matrix A, info_type info); +void checkres(double *A, double *Acpy, info_type info); + +long usecs (); + + +void lu_seq (Matrix A, info_type info); +void lu_par_tasks(Matrix A, info_type info); + diff --git a/BE_OpenMP_2019/lu_tasks/kernels.c b/BE_OpenMP_2019/lu_tasks/kernels.c new file mode 100644 index 0000000..0f1d9ce --- /dev/null +++ b/BE_OpenMP_2019/lu_tasks/kernels.c @@ -0,0 +1,114 @@ +#include "trace.h" +#include "common.h" +#include +#include +#include + +void panel(double *P, int k, info_type info){ + + int m, ld, err, np, i; + + i = k*info.B; + np = info.B; + m = info.N-i; + ld = info.N; +#if defined(DBG) + printf("%2d -- panel : %d\n",omp_get_thread_num(),k); +#endif + trace_event_start(PNL); + dgetrf_(&m, &np, P+i, &ld, info.ipiv+i, &err); + trace_event_stop(PNL); +} + + +void update(double *P, double *U, int k, int j, info_type info){ + + int m, mu, nu, np, ld, err, i; + char NoTran = 'N', Lower='L', Unit='U', Left='L'; + int IONE=1, IMONE=-1, IZERO=0; + double DONE=(double)1.0, DMONE=-1.0, DZERO=0.0; + + i = k*info.B; + np = info.B; + nu = info.B; + + m = info.N-i; + mu = m-np; + ld = info.N; + +#if defined(DBG) + printf("%2d -- update: %d %d\n",omp_get_thread_num(),k,j); +#endif + trace_event_start(UPD); + dlaswp_(&nu, U+i, &ld, &IONE, &np, info.ipiv+i, &IONE); + dtrsm_ (&Left, &Lower, &NoTran, &Unit, + &np, &nu, + &DONE, + P+i, &ld, + U+i, &ld); + dgemm_ (&NoTran, &NoTran, + &mu, &nu, &np, + &DMONE, + P+i+np, &ld, + U+i, &ld, + &DONE, + U+i+np, &ld); + trace_event_stop(UPD); + + return; +} + + +void backperm(Matrix A, info_type info){ + + int i, j, ld, ipb, ipo; + int IONE=1; + + ld = info.N; + + trace_event_start(END); + for(i=info.B; i + +/* This is a sequential routine for the LU factorization of a square + matrix in block-columns */ +void lu_par_tasks(Matrix A, info_type info) +{ + + int i, j; + + trace_init(); +#pragma omp parallel + { +#pragma single + { + //Un seul processus génère toutes les tâchs pour tout le monde + for (i = 0; i < info.NB; i++) + { + /* Do the panel */ +#pragma omp task depend(inout \ + : A[i]) firstprivate(i) + //firstprivate pour initialiser à la valeur qu'on veut. + panel(A[i], i, info); + + for (j = i + 1; j < info.NB; j++) + { +/* Do all the correspondint updates */ +#pragma omp task depend(in \ + : A[i]) depend(inout \ + : A[j]) firstprivate(i, j) + update(A[i], A[j], i, j, info); + } + } + } + } + /* Do row permutations resulting from the numerical pivoting */ + /* This operation can be ignored and should be left out of the parallel region */ + backperm(A, info); + + trace_dump("trace_par_tasks.svg"); + + return; +} diff --git a/BE_OpenMP_2019/lu_tasks/lu_seq.c b/BE_OpenMP_2019/lu_tasks/lu_seq.c new file mode 100644 index 0000000..34891cc --- /dev/null +++ b/BE_OpenMP_2019/lu_tasks/lu_seq.c @@ -0,0 +1,31 @@ +#include "trace.h" +#include "common.h" + +/* This is a sequential routine for the LU factorization of a square + matrix in block-columns */ +void lu_seq(Matrix A, info_type info){ + + + int i, j; + + trace_init(); + + for(i=0; i +#include +#include +#include +#include +#include "common.h" + + + + +int main(int argc, char **argv){ + + int N, NB, B, NN; + double flops, nrm2, nrmf; + double *Acpy1, *Acpy2, *x, *b; + Matrix A; + info_type info; + long t_start,t_end; + int err, nth, i, j; + int ISEED[4] = {0,0,0,1}; + int IONE=1; + char NoTran = 'N', *nt; + double DONE=1.0, DMONE=-1.0; + + + if(argc != 3){ + printf("Usage:\n\n./main B NB\n\nwhere B is the size of block-columns and \n\ +NB is the number of block-columns the matrix is made of.\n"); + return 1; + } + + + B = atoi(argv[1]); /* block size */ + NB = atoi(argv[2]); /* dimension in blocks */ + N = B*NB; + NN = N*N; + + nt = getenv("OMP_NUM_THREADS"); + + flops = ((double)2.0*(double) N)*((double) N)*((double) N)/3.0; + + Acpy1 = (double *)malloc(NN*sizeof(double)); + Acpy2 = (double *)malloc(NN*sizeof(double)); + info.ipiv = (int *)malloc(N*sizeof(int)); + + dlarnv_(&IONE, ISEED, &NN, Acpy1); + + info.B = B; + info.NB = NB; + info.N = N; + + printf("Matrix size: %d\n",N); + + A = (double **)malloc(info.NB*sizeof(double*)); + /* get pointers to block-columns 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"#80b3ff"); */ + /* strcpy(colors[4], "#e580ff"); */ + + for(i=0; i 0) nth=i+1; + + /* scale_x = 1000.0; */ + /* scale_y = ((double)(nth+1)) *30000 / ((double)(t_stop-t_zero)); */ + + scale_x = ((double)(t_stop-t_zero))/1000.0; + scale_y = 0.1; + + + + pFile = fopen (fname,"w"); + fprintf(pFile,"\n", + ((double)t_stop-t_zero)*1.06/scale_x, ((double)nth+1)*1.05/scale_y+8); + + for(t=0; t\n", + (double)(ev.t_start-t_zero)/scale_x, + ((double)t)/scale_y, + ((double)(ev.t_stop-ev.t_start))/scale_x, + ((double)1.0)/scale_y, + colors[ev.type]); + } + + } + + + + fprintf(pFile, "\n", + ((double)nth+1)*1.01/scale_y, + ((double)t_stop-t_zero)*1.02/scale_x, + ((double)nth+1)*1.01/scale_y); + + for(t=0; tThread %d\n", + ((double)t_stop-t_zero)*1.01/scale_x, ((double)t+0.8)/scale_y, t); + } + + fprintf(pFile,"Time (usec.)\n",((double)nth+1)*1.05/scale_y+7); + + for(x=((double)t_stop-t_zero)/scale_x/10.0; x<=((double)t_stop-t_zero)/scale_x; x+=((double)t_stop-t_zero)/scale_x/10.0){ + fprintf(pFile, "\n", + x,((double)nth+1)*1.01/scale_y-1, x, ((double)nth+1)*1.01/scale_y+1); + fprintf(pFile," %.0f \n", + x,((double)nth+1)*1.01/scale_y+7,x*scale_x); + } + + + fprintf(pFile,"\n"); + } +} diff --git a/BE_OpenMP_2019/lu_tasks/trace.h b/BE_OpenMP_2019/lu_tasks/trace.h new file mode 100644 index 0000000..83a75aa --- /dev/null +++ b/BE_OpenMP_2019/lu_tasks/trace.h @@ -0,0 +1,22 @@ +#include +#include + +long t_zero; + +#define MAXEVENTS 10000 +#define MAXTHREADS 48 + +long usecs (); + + +typedef struct event_struct{ + int type; + long t_start, t_stop; +} Event; + + +void trace_init(); +void trace_event_start(int type); +void trace_event_stop(int type); +void trace_dump(char *); + diff --git a/BE_OpenMP_2019/norm2_noowr/Makefile b/BE_OpenMP_2019/norm2_noowr/Makefile new file mode 100644 index 0000000..4ae3d4a --- /dev/null +++ b/BE_OpenMP_2019/norm2_noowr/Makefile @@ -0,0 +1,31 @@ +CC = gcc +LINK = $(CC) + +CFLAGS = -O3 -fopenmp +# CFLAGS = -g -fopenmp +LDFLAGS = $(CFLAGS) +LIBS = -lm + +OBJS = main.o + +main: $(OBJS) + $(LINK) -o $@ $(LDFLAGS) $(OBJS) $(LIBS) + + + + + + +clean: + (rm -f *.o main) + + + +%.o: %.c + $(CC) $(CFLAGS) $(CINCLUDES) $(INCLUDES) $(CDEFS) $(PREC) -c $< +%.o: %.f90 + $(FC) $(FCFLAGS) $(FINCLUDES) $(INCLUDES) $(FDEFS) $(DEFINE_PREPEND)$(PREC) -c $< + + + + diff --git a/BE_OpenMP_2019/norm2_noowr/main.c b/BE_OpenMP_2019/norm2_noowr/main.c new file mode 100644 index 0000000..a9f9385 --- /dev/null +++ b/BE_OpenMP_2019/norm2_noowr/main.c @@ -0,0 +1,136 @@ +#include +#include +#include +#include +#include + +long usecs() +{ + struct timeval t; + + gettimeofday(&t, NULL); + return t.tv_sec * 1000000 + t.tv_usec; +} + +double dnorm2_seq(double *x, int n) +{ + int i; + double res, scale, ssq, absxi; + + scale = 0.0; + ssq = 1.0; + + for (i = 0; i < n; i++) + { + if (x[i] != 0.0) + { + absxi = fabs(x[i]); + if (scale < absxi) + { + ssq = 1.0 + ssq * pow(scale / absxi, 2); + scale = absxi; + } + else + { + ssq = ssq + pow(absxi / scale, 2); + } + } + } + + res = scale * sqrt(ssq); + + return res; +} + +double dnorm2_par(double *x, int n) +{ + int i; + double res, scale, ssq, absxi, myssq, myscale; + + scale = 0.0; + ssq = 1.0; + +#pragma omp parallel private(myssq, myscale, absxi) +#pragma omp for + for (i = 0; i < n; i++) + { + if (x[i] != 0.0) + { + absxi = fabs(x[i]); + if (myscale < absxi) + { + myssq = 1.0 + myssq * pow(myscale / absxi, 2); + myscale = absxi; + } + else + { + myssq = myssq + pow(absxi / myscale, 2); + } + } +#pragma omp critical + { + if (myscale > scale) + { + ssq = 1.0 + myssq * pow(scale / myscale, 2); + scale = myscale; + } + else + { + ssq = ssq + pow(myssq / scale, 2); + } + } + } + + res = scale * sqrt(ssq); + + return res; +} + +int main(int argc, char *argv[]) +{ + + int n, i; + double *x; + double n2_seq, n2_par; + long t_start, t_end; + + if (argc != 2) + { + printf("Wrong number of arguments.\n Usage:\n\n\ +./main n \n\n where n is the size of the vector x whose 2-norm has to be computed.\n"); + return 1; + } + + sscanf(argv[1], "%d", &n); + + x = (double *)malloc(sizeof(double) * n); + + for (i = 0; i < n; i++) + x[i] = ((double)500.0 * rand() / (RAND_MAX)); + + printf("\n================== Sequential version ==================\n"); + t_start = usecs(); + n2_seq = dnorm2_seq(x, n); + t_end = usecs(); + printf("Time (msec.) : %7.1f\n", (t_end - t_start) / 1e3); + printf("Computed norm is: %10.3lf\n", n2_seq); + + printf("\n\n=========== Parallel version with reduction ===========\n"); + t_start = usecs(); + n2_par = dnorm2_par(x, n); + t_end = usecs(); + printf("Time (msec.) : %7.1f\n", (t_end - t_start) / 1e3); + printf("Computed norm is: %10.3lf\n", n2_par); + + printf("\n\n"); + if (fabs(n2_seq - n2_par) / n2_seq > 1e-10) + { + printf("The parallel version is numerically wrong! \n"); + } + else + { + printf("The parallel version is numerically okay!\n"); + } + + return 0; +} diff --git a/BE_OpenMP_2019/norm2_noowr/subject.pdf b/BE_OpenMP_2019/norm2_noowr/subject.pdf new 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+mkdir $USER +cp -r responses.txt band_matrix lu_tasks norm2_noowr stacks tree_branch $USER; +cd $USER; find . -name "*.pdf" | xargs rm; cd ..; +tar zcvf $USER.tgz $USER; +rm -rf $USER; diff --git a/BE_OpenMP_2019/responses.txt b/BE_OpenMP_2019/responses.txt new file mode 100644 index 0000000..47e5d0a --- /dev/null +++ b/BE_OpenMP_2019/responses.txt @@ -0,0 +1,43 @@ +In this file you have to write the answers to the questions marked +with the "pencil" symbol that you will find in the subjects of the +various exam parts. + + +======================================================================= +Part 1: Banded matrix product + + + + + + +======================================================================= +Part 2: LU factorization with tasks + + + + + + + + + +======================================================================= +Part 3: Norm2 without overflow + + + + + + +======================================================================= +Part 4: Stacks + + + + + + + +======================================================================= +Part 5: Longest branch of a tree diff --git a/BE_OpenMP_2019/stacks/Makefile b/BE_OpenMP_2019/stacks/Makefile new file mode 100644 index 0000000..374e810 --- /dev/null +++ b/BE_OpenMP_2019/stacks/Makefile @@ -0,0 +1,27 @@ +CC = gcc +LINK = $(CC) + +# CFLAGS = -O3 -fopenmp -Wunknown-pragmas +CFLAGS = -g -fopenmp +LDFLAGS = $(CFLAGS) +LIBS = -lm $(LBLAS) + +OBJS = aux.o main.o + +main: $(OBJS) + $(LINK) -o $@ $(LDFLAGS) $(OBJS) $(LIBS) + + +clean: + (rm -f *.o main) + + + +%.o: %.c + $(CC) $(CFLAGS) $(CINCLUDES) $(INCLUDES) $(CDEFS) $(PREC) -c $< +%.o: %.f90 + $(FC) $(FCFLAGS) $(FINCLUDES) $(INCLUDES) $(FDEFS) $(DEFINE_PREPEND)$(PREC) -c $< + + + + diff --git a/BE_OpenMP_2019/stacks/aux.c b/BE_OpenMP_2019/stacks/aux.c new file mode 100644 index 0000000..e735f02 --- /dev/null +++ b/BE_OpenMP_2019/stacks/aux.c @@ -0,0 +1,166 @@ +#include "aux.h" + +int *stacks_list; +int *stacks_cnts; +int cnt, cnt2; + +long usecs (){ + struct timeval t; + + gettimeofday(&t,NULL); + return t.tv_sec*1000000+t.tv_usec; +} + + +void mysleep(double sec){ + + long s, e; + s=0; e=0; + s = usecs(); + while(((double) e-s)/1000000 < sec) + { + e = usecs(); + } + return; +} + + + + +void init_stacks(stack_t **stacks, int n){ + + int i; + + *stacks = (stack_t*)malloc(n*sizeof(stack_t)); + + for(i=0; i= MAXELEMS){ + return -1; + } else { + return stacks_list[c]; + } +} + + +int process(){ + + int c; + + mysleep(0.0001); + +#pragma omp atomic capture + c = cnt2++; + + return c; + +} + + +void check_result(stack_t *stacks, int n){ + + int i, j; + int *check; + + /* for(i=0; i +#include +#include + +typedef struct stackstruct{ + int cnt; + int *elems; +} stack_t; + + +void init_stacks(stack_t **stacks, int n); + +void free_stacks(stack_t **stacks, int n); + + +int get_random_stack(); +int process(); +void check_result(stack_t *stacks, int n); + + +long usecs (); +void mysleep(double sec); diff --git a/BE_OpenMP_2019/stacks/main.c b/BE_OpenMP_2019/stacks/main.c new file mode 100644 index 0000000..961972c --- /dev/null +++ b/BE_OpenMP_2019/stacks/main.c @@ -0,0 +1,158 @@ +#include "aux.h" +#include + +void stacks_seq(stack_t *stacks, int n); +void stacks_par_critical(stack_t *stacks, int n); +void stacks_par_atomic(stack_t *stacks, int n); +void stacks_par_locks(stack_t *stacks, int n); + +int main(int argc, char **argv) +{ + + stack_t *stacks; + int i, j, n; + long t_start, t_end, save; + + if (argc == 2) + { + n = atoi(argv[1]); /* the number of stacks */ + } + else + { + printf("Usage:\n\n ./main n\n\nwhere n is the number of stacks.\n"); + return 1; + } + + printf("\n"); + + init_stacks(&stacks, n); + t_start = usecs(); + stacks_seq(stacks, n); + t_end = usecs(); + printf("Sequential version. -------- time : %8.2f msec. ", ((double)t_end - t_start) / 1000.0); + check_result(stacks, n); + free_stacks(&stacks, n); + + init_stacks(&stacks, n); + t_start = usecs(); + stacks_par_critical(stacks, n); + t_end = usecs(); + printf("Critical version. -------- time : %8.2f msec. ", ((double)t_end - t_start) / 1000.0); + check_result(stacks, n); + free_stacks(&stacks, n); + + init_stacks(&stacks, n); + t_start = usecs(); + stacks_par_atomic(stacks, n); + t_end = usecs(); + printf("Atomic version. -------- time : %8.2f msec. ", ((double)t_end - t_start) / 1000.0); + check_result(stacks, n); + free_stacks(&stacks, n); + + init_stacks(&stacks, n); + t_start = usecs(); + stacks_par_locks(stacks, n); + t_end = usecs(); + printf("Locks version. -------- time : %8.2f msec. ", ((double)t_end - t_start) / 1000.0); + check_result(stacks, n); + free_stacks(&stacks, n); + + return 0; +} + +void stacks_seq(stack_t *stacks, int n) +{ + + int s; + + for (;;) + { + + /* Get the stack number s */ + s = get_random_stack(); + + if (s == -1) + break; + + /* Push some value on stack s */ + stacks[s].elems[stacks[s].cnt++] = process(); + } +} + +void stacks_par_critical(stack_t *stacks, int n) +{ + + int s, tmp; + +#pragma omp parallel private(s, tmp) + for (;;) + { + + /* Get the stack number s */ + s = get_random_stack(); + + if (s == -1) + break; + + /* Push some value on stack s */ + // On sort la fonction process de la section critique parce que cela ne pose pas de problème/ + tmp = process(); +#pragma omp critical + stacks[s].elems[stacks[s].cnt++] = tmp; + } +} + +void stacks_par_atomic(stack_t *stacks, int n) +{ + + int s, tmp; +#pragma omp parallel private(s, tmp) + for (;;) + { + + /* Get the stack number s */ + s = get_random_stack(); + + if (s == -1) + break; +#pragma omp atomic capture + tmp = stacks[s].cnt++; // On réserve la pile + + /* Push some value on stack s */ + stacks[s].elems[tmp] = process(); + } +} + +void stacks_par_locks(stack_t *stacks, int n) +{ + + int s, tmp; + omp_lock_t* lock = malloc(1000 * sizeof(omp_lock_t)); + + for (int i = 0; i < 1000; i++) + { + omp_init_lock(lock + i); + } + +#pragma omp parallel private(s, tmp) + for (;;) + { + + /* Get the stack number s */ + s = get_random_stack(); + + if (s == -1) + break; + + tmp = process(); + + /* Push some value on stack s */ + omp_set_lock(lock + s); + stacks[s].elems[stacks[s].cnt++] = tmp; + omp_unset_lock(lock + s); + } + for (int i = 0; i < 1000; i++) + { + omp_destroy_lock(lock + i); + } +} diff --git a/BE_OpenMP_2019/stacks/subject.pdf b/BE_OpenMP_2019/stacks/subject.pdf new file mode 100644 index 0000000000000000000000000000000000000000..e354e8dbf2a8807495ba4c84fbd5e865dfbef7a2 GIT binary patch literal 94939 zcma&MQ;;rTv!z)!cGbzcMVCetpo(uM9|9rl5`NPAEN*x2r+mvcV-bCoy7K!SFy@+*TR|-eW zU487!?iR=e0qwZx(e@YBitu9G-T;1=9ZE$bV9ienKC6$GEg;b2(tSyC@3ZH*L}yj) zQ#7Q=Cc5&@?Ftx&0BsW6}Rh;3~FlG>?) zN3(>#Gsjf%$j`nSia(ZronIUzyOCgZs8IQyt*I|-S`UIWur!JeMFIphhYXk!6;3nf zU3!&P%e)=z6F->lvPRu~9M4qqN5Io;{}{7{CH_zo>>|K%T!DE?^gxEmmvRk=%zBxG z<}zcR%~m)$pdMSA<8&BtTclp$1KUf#htmDg`;dg<*@oX~Mrv+9DFVP^ixpP6u>6h~ zIEPjoXy1KdM7W0t`$3(#i?I?IVRiFLu(-o)$%MZv$&izQe) z99_3Gj0*=Fzu*vfsINbuO1H$NOqA+7uHQup`>DZlmD8B1ke+h4#{Uxxm)ZDk4d3PU z7^bh_-BXUai(_PosLfK`#}p#;i{ufWon0%6j(k6V_2m`2rTqD7UE8)Egkb;L37`T6Prdxzksac-o^-KsadzN?I3h8xAGHf1xhuR_U! 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zyhXSnUQiA+h;^_yrvt*h~1Xnzgt2=NTfi768NwU96fa^a1?>_?x07!t7otK?UoK2DiD9Hxo=H}((;^L7I73JpP1o8sKMa6{x|9i-1 z6?t<9OE)V3D-Z8~fu8>#sE2Zv8!=cEGi=^xn)m2u<2#`3%c>Er_C`B0JqQF#k7Kk) z1;hOty=wWz?(5E93u0slUp)~Ds$DWt8WF(PW#!u;k=Wr#fn0k&$^nJSJSVj6Y$E6Z zMu7o2ik#l!@?r(Q0pbranch_weight += root->weight; + + if(root->nc>0) { + for(i=0; inc; i++){ + root->children[i].branch_weight = root->branch_weight; + longest_branch_seq_rec(root->children+i, weight, leaf); + } + } else { + if(root->branch_weight > *weight){ + *weight = root->branch_weight; + *leaf = root->id; + } + } +} +\end{verbatim} + +The \texttt{weight} and \texttt{leaf} arguments of this function are +meant to return the weight of the longest branch and the corresponding +leaf. When we visit a node, first we process it using the +\texttt{process} routine and we update the weight of the branch that +connects it to the root (i.e., we add its weight to the branch weight +of its father). Then, if it has children, we recursively call this +code on each one of them, if not then it means that we have reached a +leaf of the tree; in this case if the weight of the current branch is +grater than the current maximum contained in the \texttt{weight} +variable, we update \texttt{weight} and \texttt{leaf}. + +For example, on the tree below, this method would return the leaf +number $3$ and the associated weight of $137$. + +\begin{center} + \includegraphics[width=0.4\textwidth]{tree.pdf} +\end{center} + + +\section{Package content} +In the \texttt{tree\_branch} directory you will find the +following files: +\begin{itemize} +\item \texttt{main.c}: this file contains the main program which first + initializes the tree for a provided number of maximum levels. The main + program then calls a sequential routine \texttt{longest\_branch\_seq} + containing the above code, then calls the + \texttt{longest\_branch\_par} routine which is supposed to contain a + parallel version of the traversal code. +\item \texttt{longest\_branch\_seq.c}: contains a routine implementing a + sequential traversal with the code presented above. +\item \texttt{longest\_branch\_par.c} contains a routine implementing a + parallel tree traversal. \textbf{Only this file has to be modified + for this exercise}. +\item \texttt{aux.c, aux.h}: these two files contain auxiliary + routines and \textbf{must not be modified}. +\end{itemize} + + + +The code can be compiled with the \texttt{make} command: just type +\texttt{make} inside the \texttt{tree\_branch} directory; this +will generate a \texttt{main} program that can be run like this: + +\begin{verbatim} +$ ./main l s +\end{verbatim} + +where \texttt{l} is the number of levels in the tree. The argument $s$ +is the seed for the random number generation (which is used to build +the tree), and can be used to create trees of different shapes for a +fixed number of levels. + +\section{Assignment} +\begin{itemize} +\item {\huge \Keyboard} At the beginning, the + \texttt{longest\_branch\_par} routine contains an exact copy of the + \texttt{longest\_branch\_seq} one. Modify these routine in order to + parallelize it. Make sure that the result computed by the three + routines (sequential and parallel ones) is consistently (that is, at + every execution of the parallel code) the same; a message printed at + the end of the execution will tell you whether this is the + case. Note that there may be multiple branches of the same length; + in this case any of them will be considered a correct result. Also, + modify the code in order to count the number of nodes updated by + each of the working threads. +\item \smallpencil Report the execution times for the implemented + parallel version with 1, 2 and 4 threads and for different tree + sizes. Analyze and comment on your results: is the achieved speedup + reasonable or not? Report your answer in the \texttt{responses.txt} + file. +\end{itemize} + + +\paragraph{Advice} +\begin{itemize} +\item As usual, when developing and debugging choose trees of small + size. When evaluating performance it's better to choose a larges + tree size. +\end{itemize} + + + + + + + + + + + + + + + + + + + +\end{document} + + + + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: t +%%% End: diff --git a/BE_OpenMP_2019/tree_branch/tree.dot b/BE_OpenMP_2019/tree_branch/tree.dot new file mode 100644 index 0000000..3beb37b --- /dev/null +++ b/BE_OpenMP_2019/tree_branch/tree.dot @@ -0,0 +1,3747 @@ +graph G { +node [color=black, +fillcolor=white, +shape=circle, +fontname=Courier, +style=filled +]; +node0001[label="id:1\lwg:23\l"]; +node0001 -- node0002 +node0002[label="id:2\lwg:37\l"]; +node0002 -- node0003 +node0002 -- node0153 +node0002 -- node0405 +node0002 -- node0406 +node0002 -- node0814 +node0002 -- node1173 +node0003[label="id:3\lwg:12\l"]; +node0003 -- node0004 +node0003 -- node0111 +node0003 -- node0112 +node0003 -- node0113 +node0003 -- node0114 +node0003 -- node0134 +node0003 -- node0135 +node0004[label="id:4\lwg:29\l"]; +node0004 -- node0005 +node0004 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+node0505[label="id:505\lwg:38\l"]; +node0506[label="id:506\lwg:49\l"]; +node0506 -- node0507 +node0507[label="id:507\lwg:14\l"]; +node0508[label="id:508\lwg:38\l"]; +node0508 -- node0509 +node0509[label="id:509\lwg:25\l"]; +node0509 -- node0510 +node0510[label="id:510\lwg:14\l"]; +node0511[label="id:511\lwg:19\l"]; +node0511 -- node0512 +node0511 -- node0515 +node0511 -- node0517 +node0512[label="id:512\lwg:23\l"]; +node0512 -- node0513 +node0513[label="id:513\lwg:31\l"]; +node0513 -- node0514 +node0514[label="id:514\lwg:37\l"]; +node0515[label="id:515\lwg:24\l"]; +node0515 -- node0516 +node0516[label="id:516\lwg:16\l"]; +node0517[label="id:517\lwg:8\l"]; +node0518[label="id:518\lwg:45\l"]; +node0518 -- node0519 +node0518 -- node0520 +node0518 -- node0521 +node0518 -- node0523 +node0519[label="id:519\lwg:32\l"]; +node0520[label="id:520\lwg:37\l"]; +node0521[label="id:521\lwg:6\l"]; +node0521 -- node0522 +node0522[label="id:522\lwg:27\l"]; +node0523[label="id:523\lwg:29\l"]; +node0523 -- node0524 +node0524[label="id:524\lwg:23\l"]; +node0525[label="id:525\lwg:2\l"]; +node0525 -- node0526 +node0525 -- node0555 +node0525 -- node0607 +node0525 -- node0627 +node0525 -- node0628 +node0526[label="id:526\lwg:30\l"]; +node0526 -- node0527 +node0526 -- node0533 +node0526 -- node0543 +node0527[label="id:527\lwg:39\l"]; +node0527 -- node0528 +node0528[label="id:528\lwg:31\l"]; +node0528 -- node0529 +node0529[label="id:529\lwg:5\l"]; +node0529 -- node0530 +node0529 -- node0531 +node0530[label="id:530\lwg:45\l"]; +node0531[label="id:531\lwg:30\l"]; +node0531 -- node0532 +node0532[label="id:532\lwg:40\l"]; +node0533[label="id:533\lwg:46\l"]; +node0533 -- node0534 +node0533 -- node0541 +node0533 -- node0542 +node0534[label="id:534\lwg:37\l"]; +node0534 -- node0535 +node0534 -- node0537 +node0534 -- node0538 +node0535[label="id:535\lwg:4\l"]; +node0535 -- node0536 +node0536[label="id:536\lwg:50\l"]; +node0537[label="id:537\lwg:10\l"]; +node0538[label="id:538\lwg:31\l"]; +node0538 -- node0539 +node0539[label="id:539\lwg:42\l"]; +node0539 -- node0540 +node0540[label="id:540\lwg:42\l"]; +node0541[label="id:541\lwg:40\l"]; +node0542[label="id:542\lwg:16\l"]; +node0543[label="id:543\lwg:22\l"]; +node0543 -- node0544 +node0543 -- node0551 +node0543 -- node0553 +node0543 -- node0554 +node0544[label="id:544\lwg:50\l"]; +node0544 -- node0545 +node0544 -- node0549 +node0545[label="id:545\lwg:17\l"]; +node0545 -- node0546 +node0545 -- node0548 +node0546[label="id:546\lwg:5\l"]; +node0546 -- node0547 +node0547[label="id:547\lwg:5\l"]; +node0548[label="id:548\lwg:37\l"]; +node0549[label="id:549\lwg:30\l"]; +node0549 -- node0550 +node0550[label="id:550\lwg:31\l"]; +node0551[label="id:551\lwg:48\l"]; +node0551 -- node0552 +node0552[label="id:552\lwg:45\l"]; +node0553[label="id:553\lwg:8\l"]; +node0554[label="id:554\lwg:48\l"]; +node0555[label="id:555\lwg:29\l"]; +node0555 -- node0556 +node0555 -- node0574 +node0555 -- node0582 +node0555 -- node0595 +node0555 -- node0605 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node0696 +node0693 -- node0697 +node0694[label="id:694\lwg:1\l"]; +node0695[label="id:695\lwg:40\l"]; +node0696[label="id:696\lwg:42\l"]; +node0697[label="id:697\lwg:8\l"]; +node0697 -- node0698 +node0697 -- node0702 +node0698[label="id:698\lwg:5\l"]; +node0698 -- node0699 +node0698 -- node0701 +node0699[label="id:699\lwg:33\l"]; +node0699 -- node0700 +node0700[label="id:700\lwg:40\l"]; +node0701[label="id:701\lwg:24\l"]; +node0702[label="id:702\lwg:24\l"]; +node0702 -- node0703 +node0703[label="id:703\lwg:39\l"]; +node0704[label="id:704\lwg:21\l"]; +node0704 -- node0705 +node0704 -- node0713 +node0704 -- node0714 +node0704 -- node0726 +node0705[label="id:705\lwg:16\l"]; +node0705 -- node0706 +node0706[label="id:706\lwg:47\l"]; +node0706 -- node0707 +node0706 -- node0708 +node0706 -- node0710 +node0707[label="id:707\lwg:28\l"]; +node0708[label="id:708\lwg:11\l"]; +node0708 -- node0709 +node0709[label="id:709\lwg:13\l"]; +node0710[label="id:710\lwg:5\l"]; +node0710 -- node0711 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node0751 +node0746[label="id:746\lwg:8\l"]; +node0746 -- node0747 +node0746 -- node0749 +node0747[label="id:747\lwg:10\l"]; +node0747 -- node0748 +node0748[label="id:748\lwg:13\l"]; +node0749[label="id:749\lwg:14\l"]; +node0749 -- node0750 +node0750[label="id:750\lwg:35\l"]; +node0751[label="id:751\lwg:7\l"]; +node0751 -- node0752 +node0752[label="id:752\lwg:9\l"]; +node0752 -- node0753 +node0753[label="id:753\lwg:45\l"]; +node0754[label="id:754\lwg:21\l"]; +node0754 -- node0755 +node0754 -- node0758 +node0755[label="id:755\lwg:1\l"]; +node0755 -- node0756 +node0756[label="id:756\lwg:1\l"]; +node0756 -- node0757 +node0757[label="id:757\lwg:22\l"]; +node0758[label="id:758\lwg:41\l"]; +node0759[label="id:759\lwg:14\l"]; +node0759 -- node0760 +node0759 -- node0763 +node0760[label="id:760\lwg:25\l"]; +node0760 -- node0761 +node0761[label="id:761\lwg:4\l"]; +node0761 -- node0762 +node0762[label="id:762\lwg:37\l"]; +node0763[label="id:763\lwg:48\l"]; +node0763 -- node0764 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node0849 +node0846 -- node0851 +node0847[label="id:847\lwg:6\l"]; +node0847 -- node0848 +node0848[label="id:848\lwg:13\l"]; +node0849[label="id:849\lwg:31\l"]; +node0849 -- node0850 +node0850[label="id:850\lwg:29\l"]; +node0851[label="id:851\lwg:45\l"]; +node0851 -- node0852 +node0852[label="id:852\lwg:30\l"]; +node0853[label="id:853\lwg:9\l"]; +node0853 -- node0854 +node0853 -- node0856 +node0853 -- node0860 +node0854[label="id:854\lwg:1\l"]; +node0854 -- node0855 +node0855[label="id:855\lwg:35\l"]; +node0856[label="id:856\lwg:30\l"]; +node0856 -- node0857 +node0856 -- node0858 +node0857[label="id:857\lwg:21\l"]; +node0858[label="id:858\lwg:13\l"]; +node0858 -- node0859 +node0859[label="id:859\lwg:34\l"]; +node0860[label="id:860\lwg:8\l"]; +node0861[label="id:861\lwg:33\l"]; +node0861 -- node0862 +node0862[label="id:862\lwg:11\l"]; +node0862 -- node0863 +node0862 -- node0866 +node0862 -- node0869 +node0863[label="id:863\lwg:44\l"]; +node0863 -- node0864 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+node1121[label="id:1121\lwg:11\l"]; +node1121 -- node1122 +node1122[label="id:1122\lwg:23\l"]; +node1122 -- node1123 +node1123[label="id:1123\lwg:42\l"]; +node1123 -- node1124 +node1124[label="id:1124\lwg:9\l"]; +node1125[label="id:1125\lwg:27\l"]; +node1125 -- node1126 +node1125 -- node1147 +node1125 -- node1156 +node1125 -- node1165 +node1126[label="id:1126\lwg:16\l"]; +node1126 -- node1127 +node1126 -- node1134 +node1126 -- node1137 +node1126 -- node1141 +node1127[label="id:1127\lwg:17\l"]; +node1127 -- node1128 +node1127 -- node1133 +node1128[label="id:1128\lwg:23\l"]; +node1128 -- node1129 +node1128 -- node1131 +node1129[label="id:1129\lwg:20\l"]; +node1129 -- node1130 +node1130[label="id:1130\lwg:31\l"]; +node1131[label="id:1131\lwg:24\l"]; +node1131 -- node1132 +node1132[label="id:1132\lwg:12\l"]; +node1133[label="id:1133\lwg:41\l"]; +node1134[label="id:1134\lwg:22\l"]; +node1134 -- node1135 +node1135[label="id:1135\lwg:34\l"]; +node1135 -- node1136 +node1136[label="id:1136\lwg:42\l"]; +node1137[label="id:1137\lwg:7\l"]; +node1137 -- node1138 +node1138[label="id:1138\lwg:34\l"]; +node1138 -- node1139 +node1139[label="id:1139\lwg:48\l"]; +node1139 -- node1140 +node1140[label="id:1140\lwg:46\l"]; +node1141[label="id:1141\lwg:43\l"]; +node1141 -- node1142 +node1141 -- node1143 +node1142[label="id:1142\lwg:27\l"]; +node1143[label="id:1143\lwg:23\l"]; +node1143 -- node1144 +node1143 -- node1145 +node1144[label="id:1144\lwg:7\l"]; +node1145[label="id:1145\lwg:40\l"]; +node1145 -- node1146 +node1146[label="id:1146\lwg:14\l"]; +node1147[label="id:1147\lwg:32\l"]; +node1147 -- node1148 +node1147 -- node1149 +node1148[label="id:1148\lwg:29\l"]; +node1149[label="id:1149\lwg:30\l"]; +node1149 -- node1150 +node1149 -- node1151 +node1149 -- node1154 +node1150[label="id:1150\lwg:1\l"]; +node1151[label="id:1151\lwg:24\l"]; +node1151 -- node1152 +node1152[label="id:1152\lwg:9\l"]; +node1152 -- node1153 +node1153[label="id:1153\lwg:8\l"]; +node1154[label="id:1154\lwg:31\l"]; +node1154 -- node1155 +node1155[label="id:1155\lwg:35\l"]; +node1156[label="id:1156\lwg:33\l"]; +node1156 -- node1157 +node1157[label="id:1157\lwg:40\l"]; +node1157 -- node1158 +node1157 -- node1161 +node1157 -- node1162 +node1158[label="id:1158\lwg:40\l"]; +node1158 -- node1159 +node1159[label="id:1159\lwg:9\l"]; +node1159 -- node1160 +node1160[label="id:1160\lwg:7\l"]; +node1161[label="id:1161\lwg:37\l"]; +node1162[label="id:1162\lwg:12\l"]; +node1162 -- node1163 +node1163[label="id:1163\lwg:48\l"]; +node1163 -- node1164 +node1164[label="id:1164\lwg:39\l"]; +node1165[label="id:1165\lwg:41\l"]; +node1165 -- node1166 +node1166[label="id:1166\lwg:42\l"]; +node1166 -- node1167 +node1166 -- node1170 +node1167[label="id:1167\lwg:35\l"]; +node1167 -- node1168 +node1168[label="id:1168\lwg:48\l"]; +node1168 -- node1169 +node1169[label="id:1169\lwg:43\l"]; +node1170[label="id:1170\lwg:50\l"]; +node1170 -- node1171 +node1170 -- node1172 +node1171[label="id:1171\lwg:7\l"]; +node1172[label="id:1172\lwg:8\l"]; +node1173[label="id:1173\lwg:43\l"]; +node1173 -- node1174 +node1173 -- node1394 +node1173 -- node1597 +node1173 -- node1633 +node1173 -- node1737 +node1173 -- node1840 +node1173 -- node1870 +node1174[label="id:1174\lwg:13\l"]; +node1174 -- node1175 +node1174 -- node1200 +node1174 -- node1238 +node1174 -- node1264 +node1174 -- node1296 +node1174 -- node1387 +node1175[label="id:1175\lwg:45\l"]; +node1175 -- node1176 +node1175 -- node1177 +node1175 -- node1178 +node1176[label="id:1176\lwg:1\l"]; +node1177[label="id:1177\lwg:43\l"]; +node1178[label="id:1178\lwg:48\l"]; +node1178 -- node1179 +node1178 -- node1191 +node1178 -- node1193 +node1178 -- node1196 +node1179[label="id:1179\lwg:6\l"]; +node1179 -- node1180 +node1179 -- node1184 +node1179 -- node1187 +node1180[label="id:1180\lwg:19\l"]; +node1180 -- node1181 +node1180 -- node1182 +node1181[label="id:1181\lwg:31\l"]; +node1182[label="id:1182\lwg:15\l"]; +node1182 -- node1183 +node1183[label="id:1183\lwg:11\l"]; +node1184[label="id:1184\lwg:8\l"]; +node1184 -- node1185 +node1184 -- node1186 +node1185[label="id:1185\lwg:44\l"]; +node1186[label="id:1186\lwg:35\l"]; +node1187[label="id:1187\lwg:43\l"]; +node1187 -- node1188 +node1187 -- node1189 +node1188[label="id:1188\lwg:49\l"]; +node1189[label="id:1189\lwg:44\l"]; +node1189 -- node1190 +node1190[label="id:1190\lwg:39\l"]; +node1191[label="id:1191\lwg:34\l"]; +node1191 -- node1192 +node1192[label="id:1192\lwg:19\l"]; +node1193[label="id:1193\lwg:7\l"]; +node1193 -- node1194 +node1194[label="id:1194\lwg:17\l"]; +node1194 -- node1195 +node1195[label="id:1195\lwg:8\l"]; +node1196[label="id:1196\lwg:11\l"]; +node1196 -- node1197 +node1196 -- node1199 +node1197[label="id:1197\lwg:46\l"]; +node1197 -- node1198 +node1198[label="id:1198\lwg:4\l"]; +node1199[label="id:1199\lwg:40\l"]; +node1200[label="id:1200\lwg:14\l"]; +node1200 -- node1201 +node1200 -- node1202 +node1200 -- node1221 +node1200 -- node1237 +node1201[label="id:1201\lwg:21\l"]; +node1202[label="id:1202\lwg:37\l"]; +node1202 -- node1203 +node1202 -- node1213 +node1202 -- node1214 +node1203[label="id:1203\lwg:43\l"]; +node1203 -- node1204 +node1203 -- node1208 +node1203 -- node1209 +node1204[label="id:1204\lwg:1\l"]; +node1204 -- node1205 +node1204 -- node1207 +node1205[label="id:1205\lwg:50\l"]; +node1205 -- node1206 +node1206[label="id:1206\lwg:25\l"]; +node1207[label="id:1207\lwg:31\l"]; +node1208[label="id:1208\lwg:8\l"]; +node1209[label="id:1209\lwg:13\l"]; +node1209 -- node1210 +node1209 -- node1211 +node1210[label="id:1210\lwg:2\l"]; +node1211[label="id:1211\lwg:11\l"]; +node1211 -- node1212 +node1212[label="id:1212\lwg:11\l"]; +node1213[label="id:1213\lwg:40\l"]; +node1214[label="id:1214\lwg:16\l"]; +node1214 -- node1215 +node1214 -- node1218 +node1214 -- node1219 +node1215[label="id:1215\lwg:30\l"]; +node1215 -- node1216 +node1216[label="id:1216\lwg:16\l"]; +node1216 -- node1217 +node1217[label="id:1217\lwg:30\l"]; +node1218[label="id:1218\lwg:17\l"]; +node1219[label="id:1219\lwg:40\l"]; +node1219 -- node1220 +node1220[label="id:1220\lwg:9\l"]; +node1221[label="id:1221\lwg:7\l"]; +node1221 -- node1222 +node1221 -- node1231 +node1221 -- node1232 +node1222[label="id:1222\lwg:24\l"]; +node1222 -- node1223 +node1222 -- node1227 +node1223[label="id:1223\lwg:30\l"]; +node1223 -- node1224 +node1223 -- node1225 +node1224[label="id:1224\lwg:29\l"]; +node1225[label="id:1225\lwg:9\l"]; +node1225 -- node1226 +node1226[label="id:1226\lwg:15\l"]; +node1227[label="id:1227\lwg:45\l"]; +node1227 -- node1228 +node1227 -- node1229 +node1228[label="id:1228\lwg:28\l"]; +node1229[label="id:1229\lwg:42\l"]; +node1229 -- node1230 +node1230[label="id:1230\lwg:16\l"]; +node1231[label="id:1231\lwg:22\l"]; +node1232[label="id:1232\lwg:24\l"]; +node1232 -- node1233 +node1232 -- node1235 +node1232 -- node1236 +node1233[label="id:1233\lwg:38\l"]; +node1233 -- node1234 +node1234[label="id:1234\lwg:24\l"]; +node1235[label="id:1235\lwg:9\l"]; +node1236[label="id:1236\lwg:17\l"]; +node1237[label="id:1237\lwg:21\l"]; +node1238[label="id:1238\lwg:7\l"]; +node1238 -- node1239 +node1238 -- node1253 +node1238 -- node1263 +node1239[label="id:1239\lwg:25\l"]; +node1239 -- node1240 +node1239 -- node1241 +node1239 -- node1242 +node1239 -- node1249 +node1240[label="id:1240\lwg:43\l"]; +node1241[label="id:1241\lwg:18\l"]; +node1242[label="id:1242\lwg:4\l"]; +node1242 -- node1243 +node1242 -- node1247 +node1243[label="id:1243\lwg:35\l"]; +node1243 -- node1244 +node1243 -- node1245 +node1244[label="id:1244\lwg:49\l"]; +node1245[label="id:1245\lwg:26\l"]; +node1245 -- node1246 +node1246[label="id:1246\lwg:50\l"]; +node1247[label="id:1247\lwg:49\l"]; +node1247 -- node1248 +node1248[label="id:1248\lwg:50\l"]; +node1249[label="id:1249\lwg:13\l"]; +node1249 -- node1250 +node1250[label="id:1250\lwg:14\l"]; +node1250 -- node1251 +node1251[label="id:1251\lwg:11\l"]; +node1251 -- node1252 +node1252[label="id:1252\lwg:39\l"]; +node1253[label="id:1253\lwg:22\l"]; +node1253 -- node1254 +node1253 -- node1255 +node1254[label="id:1254\lwg:32\l"]; +node1255[label="id:1255\lwg:35\l"]; +node1255 -- node1256 +node1255 -- node1261 +node1255 -- node1262 +node1256[label="id:1256\lwg:31\l"]; +node1256 -- node1257 +node1256 -- node1259 +node1257[label="id:1257\lwg:36\l"]; +node1257 -- node1258 +node1258[label="id:1258\lwg:15\l"]; +node1259[label="id:1259\lwg:17\l"]; +node1259 -- node1260 +node1260[label="id:1260\lwg:1\l"]; +node1261[label="id:1261\lwg:30\l"]; +node1262[label="id:1262\lwg:40\l"]; +node1263[label="id:1263\lwg:24\l"]; +node1264[label="id:1264\lwg:18\l"]; +node1264 -- node1265 +node1264 -- node1289 +node1264 -- node1292 +node1264 -- node1295 +node1265[label="id:1265\lwg:16\l"]; +node1265 -- node1266 +node1265 -- node1277 +node1265 -- node1281 +node1266[label="id:1266\lwg:10\l"]; +node1266 -- node1267 +node1266 -- node1270 +node1266 -- node1273 +node1267[label="id:1267\lwg:14\l"]; +node1267 -- node1268 +node1268[label="id:1268\lwg:10\l"]; +node1268 -- node1269 +node1269[label="id:1269\lwg:48\l"]; +node1270[label="id:1270\lwg:35\l"]; +node1270 -- node1271 +node1271[label="id:1271\lwg:20\l"]; +node1271 -- node1272 +node1272[label="id:1272\lwg:33\l"]; +node1273[label="id:1273\lwg:50\l"]; +node1273 -- node1274 +node1273 -- node1275 +node1274[label="id:1274\lwg:26\l"]; +node1275[label="id:1275\lwg:15\l"]; +node1275 -- node1276 +node1276[label="id:1276\lwg:9\l"]; +node1277[label="id:1277\lwg:27\l"]; +node1277 -- node1278 +node1278[label="id:1278\lwg:26\l"]; +node1278 -- node1279 +node1279[label="id:1279\lwg:39\l"]; +node1279 -- node1280 +node1280[label="id:1280\lwg:38\l"]; +node1281[label="id:1281\lwg:27\l"]; +node1281 -- node1282 +node1281 -- node1285 +node1281 -- node1288 +node1282[label="id:1282\lwg:33\l"]; +node1282 -- node1283 +node1283[label="id:1283\lwg:50\l"]; +node1283 -- node1284 +node1284[label="id:1284\lwg:28\l"]; +node1285[label="id:1285\lwg:38\l"]; +node1285 -- node1286 +node1286[label="id:1286\lwg:28\l"]; +node1286 -- node1287 +node1287[label="id:1287\lwg:30\l"]; +node1288[label="id:1288\lwg:11\l"]; +node1289[label="id:1289\lwg:12\l"]; +node1289 -- node1290 +node1290[label="id:1290\lwg:49\l"]; +node1290 -- node1291 +node1291[label="id:1291\lwg:15\l"]; +node1292[label="id:1292\lwg:24\l"]; +node1292 -- node1293 +node1292 -- node1294 +node1293[label="id:1293\lwg:8\l"]; +node1294[label="id:1294\lwg:43\l"]; +node1295[label="id:1295\lwg:44\l"]; +node1296[label="id:1296\lwg:2\l"]; +node1296 -- node1297 +node1296 -- node1324 +node1296 -- node1348 +node1296 -- node1366 +node1296 -- node1372 +node1297[label="id:1297\lwg:33\l"]; +node1297 -- node1298 +node1297 -- node1306 +node1297 -- node1307 +node1297 -- node1313 +node1298[label="id:1298\lwg:11\l"]; +node1298 -- node1299 +node1298 -- node1302 +node1298 -- node1303 +node1299[label="id:1299\lwg:32\l"]; +node1299 -- node1300 +node1299 -- node1301 +node1300[label="id:1300\lwg:29\l"]; +node1301[label="id:1301\lwg:4\l"]; +node1302[label="id:1302\lwg:28\l"]; +node1303[label="id:1303\lwg:22\l"]; +node1303 -- node1304 +node1304[label="id:1304\lwg:17\l"]; +node1304 -- node1305 +node1305[label="id:1305\lwg:30\l"]; +node1306[label="id:1306\lwg:13\l"]; +node1307[label="id:1307\lwg:26\l"]; +node1307 -- node1308 +node1307 -- node1309 +node1307 -- node1310 +node1308[label="id:1308\lwg:39\l"]; +node1309[label="id:1309\lwg:36\l"]; +node1310[label="id:1310\lwg:31\l"]; +node1310 -- node1311 +node1311[label="id:1311\lwg:14\l"]; +node1311 -- node1312 +node1312[label="id:1312\lwg:1\l"]; +node1313[label="id:1313\lwg:21\l"]; +node1313 -- node1314 +node1313 -- node1318 +node1313 -- node1323 +node1314[label="id:1314\lwg:28\l"]; +node1314 -- node1315 +node1314 -- node1317 +node1315[label="id:1315\lwg:4\l"]; +node1315 -- node1316 +node1316[label="id:1316\lwg:23\l"]; +node1317[label="id:1317\lwg:17\l"]; +node1318[label="id:1318\lwg:42\l"]; +node1318 -- node1319 +node1318 -- node1321 +node1319[label="id:1319\lwg:41\l"]; +node1319 -- node1320 +node1320[label="id:1320\lwg:25\l"]; +node1321[label="id:1321\lwg:29\l"]; +node1321 -- node1322 +node1322[label="id:1322\lwg:14\l"]; +node1323[label="id:1323\lwg:24\l"]; +node1324[label="id:1324\lwg:37\l"]; +node1324 -- node1325 +node1324 -- node1334 +node1324 -- node1340 +node1325[label="id:1325\lwg:34\l"]; +node1325 -- node1326 +node1325 -- node1329 +node1326[label="id:1326\lwg:38\l"]; +node1326 -- node1327 +node1326 -- node1328 +node1327[label="id:1327\lwg:2\l"]; +node1328[label="id:1328\lwg:47\l"]; +node1329[label="id:1329\lwg:4\l"]; +node1329 -- node1330 +node1329 -- node1332 +node1330[label="id:1330\lwg:28\l"]; +node1330 -- node1331 +node1331[label="id:1331\lwg:33\l"]; +node1332[label="id:1332\lwg:15\l"]; +node1332 -- node1333 +node1333[label="id:1333\lwg:1\l"]; +node1334[label="id:1334\lwg:43\l"]; +node1334 -- node1335 +node1334 -- node1337 +node1335[label="id:1335\lwg:20\l"]; +node1335 -- node1336 +node1336[label="id:1336\lwg:13\l"]; +node1337[label="id:1337\lwg:5\l"]; +node1337 -- node1338 +node1338[label="id:1338\lwg:2\l"]; +node1338 -- node1339 +node1339[label="id:1339\lwg:31\l"]; +node1340[label="id:1340\lwg:38\l"]; +node1340 -- node1341 +node1340 -- node1344 +node1340 -- node1346 +node1341[label="id:1341\lwg:8\l"]; +node1341 -- node1342 +node1342[label="id:1342\lwg:14\l"]; +node1342 -- node1343 +node1343[label="id:1343\lwg:18\l"]; +node1344[label="id:1344\lwg:34\l"]; +node1344 -- node1345 +node1345[label="id:1345\lwg:35\l"]; +node1346[label="id:1346\lwg:29\l"]; +node1346 -- node1347 +node1347[label="id:1347\lwg:12\l"]; +node1348[label="id:1348\lwg:22\l"]; +node1348 -- node1349 +node1348 -- node1355 +node1348 -- node1360 +node1348 -- node1361 +node1349[label="id:1349\lwg:3\l"]; +node1349 -- node1350 +node1349 -- node1352 +node1349 -- node1353 +node1350[label="id:1350\lwg:7\l"]; +node1350 -- node1351 +node1351[label="id:1351\lwg:32\l"]; +node1352[label="id:1352\lwg:20\l"]; +node1353[label="id:1353\lwg:48\l"]; +node1353 -- node1354 +node1354[label="id:1354\lwg:17\l"]; +node1355[label="id:1355\lwg:12\l"]; +node1355 -- node1356 +node1356[label="id:1356\lwg:43\l"]; +node1356 -- node1357 +node1356 -- node1358 +node1357[label="id:1357\lwg:33\l"]; +node1358[label="id:1358\lwg:33\l"]; +node1358 -- node1359 +node1359[label="id:1359\lwg:18\l"]; +node1360[label="id:1360\lwg:22\l"]; +node1361[label="id:1361\lwg:29\l"]; +node1361 -- node1362 +node1362[label="id:1362\lwg:23\l"]; +node1362 -- node1363 +node1362 -- node1364 +node1363[label="id:1363\lwg:47\l"]; +node1364[label="id:1364\lwg:6\l"]; +node1364 -- node1365 +node1365[label="id:1365\lwg:9\l"]; +node1366[label="id:1366\lwg:23\l"]; +node1366 -- node1367 +node1366 -- node1370 +node1366 -- node1371 +node1367[label="id:1367\lwg:32\l"]; +node1367 -- node1368 +node1368[label="id:1368\lwg:27\l"]; +node1368 -- node1369 +node1369[label="id:1369\lwg:17\l"]; +node1370[label="id:1370\lwg:8\l"]; +node1371[label="id:1371\lwg:48\l"]; +node1372[label="id:1372\lwg:3\l"]; +node1372 -- node1373 +node1372 -- node1379 +node1372 -- node1382 +node1372 -- node1386 +node1373[label="id:1373\lwg:8\l"]; +node1373 -- node1374 +node1373 -- node1376 +node1374[label="id:1374\lwg:32\l"]; +node1374 -- node1375 +node1375[label="id:1375\lwg:4\l"]; +node1376[label="id:1376\lwg:32\l"]; +node1376 -- node1377 +node1377[label="id:1377\lwg:7\l"]; +node1377 -- node1378 +node1378[label="id:1378\lwg:24\l"]; +node1379[label="id:1379\lwg:1\l"]; +node1379 -- node1380 +node1379 -- node1381 +node1380[label="id:1380\lwg:6\l"]; +node1381[label="id:1381\lwg:45\l"]; +node1382[label="id:1382\lwg:50\l"]; +node1382 -- node1383 +node1383[label="id:1383\lwg:26\l"]; +node1383 -- node1384 +node1384[label="id:1384\lwg:9\l"]; +node1384 -- node1385 +node1385[label="id:1385\lwg:22\l"]; +node1386[label="id:1386\lwg:25\l"]; +node1387[label="id:1387\lwg:18\l"]; +node1387 -- node1388 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node1406 +node1403[label="id:1403\lwg:14\l"]; +node1403 -- node1404 +node1404[label="id:1404\lwg:50\l"]; +node1404 -- node1405 +node1405[label="id:1405\lwg:8\l"]; +node1406[label="id:1406\lwg:44\l"]; +node1406 -- node1407 +node1406 -- node1409 +node1407[label="id:1407\lwg:39\l"]; +node1407 -- node1408 +node1408[label="id:1408\lwg:44\l"]; +node1409[label="id:1409\lwg:19\l"]; +node1409 -- node1410 +node1410[label="id:1410\lwg:22\l"]; +node1411[label="id:1411\lwg:4\l"]; +node1412[label="id:1412\lwg:27\l"]; +node1412 -- node1413 +node1412 -- node1421 +node1412 -- node1432 +node1412 -- node1437 +node1413[label="id:1413\lwg:29\l"]; +node1413 -- node1414 +node1413 -- node1418 +node1414[label="id:1414\lwg:7\l"]; +node1414 -- node1415 +node1414 -- node1417 +node1415[label="id:1415\lwg:47\l"]; +node1415 -- node1416 +node1416[label="id:1416\lwg:15\l"]; +node1417[label="id:1417\lwg:50\l"]; +node1418[label="id:1418\lwg:28\l"]; +node1418 -- node1419 +node1418 -- node1420 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+node1487[label="id:1487\lwg:39\l"]; +node1488[label="id:1488\lwg:20\l"]; +node1489[label="id:1489\lwg:33\l"]; +node1489 -- node1490 +node1489 -- node1493 +node1489 -- node1497 +node1490[label="id:1490\lwg:32\l"]; +node1490 -- node1491 +node1491[label="id:1491\lwg:14\l"]; +node1491 -- node1492 +node1492[label="id:1492\lwg:27\l"]; +node1493[label="id:1493\lwg:46\l"]; +node1493 -- node1494 +node1493 -- node1496 +node1494[label="id:1494\lwg:45\l"]; +node1494 -- node1495 +node1495[label="id:1495\lwg:15\l"]; +node1496[label="id:1496\lwg:23\l"]; +node1497[label="id:1497\lwg:19\l"]; +node1497 -- node1498 +node1497 -- node1499 +node1498[label="id:1498\lwg:31\l"]; +node1499[label="id:1499\lwg:14\l"]; +node1499 -- node1500 +node1500[label="id:1500\lwg:21\l"]; +node1501[label="id:1501\lwg:17\l"]; +node1501 -- node1502 +node1502[label="id:1502\lwg:38\l"]; +node1503[label="id:1503\lwg:14\l"]; +node1503 -- node1504 +node1503 -- node1511 +node1503 -- node1522 +node1503 -- node1537 +node1503 -- node1546 +node1504[label="id:1504\lwg:13\l"]; +node1504 -- node1505 +node1505[label="id:1505\lwg:49\l"]; +node1505 -- node1506 +node1505 -- node1507 +node1505 -- node1509 +node1506[label="id:1506\lwg:31\l"]; +node1507[label="id:1507\lwg:39\l"]; +node1507 -- node1508 +node1508[label="id:1508\lwg:43\l"]; +node1509[label="id:1509\lwg:18\l"]; +node1509 -- node1510 +node1510[label="id:1510\lwg:14\l"]; +node1511[label="id:1511\lwg:41\l"]; +node1511 -- node1512 +node1511 -- node1518 +node1511 -- node1519 +node1512[label="id:1512\lwg:40\l"]; +node1512 -- node1513 +node1512 -- node1514 +node1513[label="id:1513\lwg:29\l"]; +node1514[label="id:1514\lwg:22\l"]; +node1514 -- node1515 +node1514 -- node1517 +node1515[label="id:1515\lwg:28\l"]; +node1515 -- node1516 +node1516[label="id:1516\lwg:14\l"]; +node1517[label="id:1517\lwg:8\l"]; +node1518[label="id:1518\lwg:50\l"]; +node1519[label="id:1519\lwg:9\l"]; +node1519 -- node1520 +node1519 -- node1521 +node1520[label="id:1520\lwg:22\l"]; 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+node1538[label="id:1538\lwg:19\l"]; +node1538 -- node1539 +node1538 -- node1540 +node1539[label="id:1539\lwg:23\l"]; +node1540[label="id:1540\lwg:22\l"]; +node1541[label="id:1541\lwg:46\l"]; +node1541 -- node1542 +node1541 -- node1543 +node1541 -- node1544 +node1542[label="id:1542\lwg:20\l"]; +node1543[label="id:1543\lwg:46\l"]; +node1544[label="id:1544\lwg:45\l"]; +node1545[label="id:1545\lwg:48\l"]; +node1546[label="id:1546\lwg:36\l"]; +node1547[label="id:1547\lwg:22\l"]; +node1547 -- node1548 +node1547 -- node1555 +node1547 -- node1576 +node1547 -- node1596 +node1548[label="id:1548\lwg:48\l"]; +node1548 -- node1549 +node1548 -- node1550 +node1549[label="id:1549\lwg:42\l"]; +node1550[label="id:1550\lwg:22\l"]; +node1550 -- node1551 +node1550 -- node1553 +node1551[label="id:1551\lwg:23\l"]; +node1551 -- node1552 +node1552[label="id:1552\lwg:31\l"]; +node1553[label="id:1553\lwg:20\l"]; +node1553 -- node1554 +node1554[label="id:1554\lwg:43\l"]; +node1555[label="id:1555\lwg:50\l"]; +node1555 -- node1556 +node1555 -- node1558 +node1555 -- node1566 +node1556[label="id:1556\lwg:19\l"]; +node1556 -- node1557 +node1557[label="id:1557\lwg:4\l"]; +node1558[label="id:1558\lwg:30\l"]; +node1558 -- node1559 +node1558 -- node1560 +node1558 -- node1563 +node1559[label="id:1559\lwg:13\l"]; +node1560[label="id:1560\lwg:26\l"]; +node1560 -- node1561 +node1561[label="id:1561\lwg:27\l"]; +node1561 -- node1562 +node1562[label="id:1562\lwg:33\l"]; +node1563[label="id:1563\lwg:1\l"]; +node1563 -- node1564 +node1564[label="id:1564\lwg:43\l"]; +node1564 -- node1565 +node1565[label="id:1565\lwg:30\l"]; +node1566[label="id:1566\lwg:1\l"]; +node1566 -- node1567 +node1566 -- node1570 +node1566 -- node1573 +node1567[label="id:1567\lwg:27\l"]; +node1567 -- node1568 +node1568[label="id:1568\lwg:5\l"]; +node1568 -- node1569 +node1569[label="id:1569\lwg:32\l"]; +node1570[label="id:1570\lwg:39\l"]; +node1570 -- node1571 +node1571[label="id:1571\lwg:14\l"]; +node1571 -- node1572 +node1572[label="id:1572\lwg:31\l"]; +node1573[label="id:1573\lwg:49\l"]; +node1573 -- node1574 +node1574[label="id:1574\lwg:19\l"]; +node1574 -- node1575 +node1575[label="id:1575\lwg:35\l"]; +node1576[label="id:1576\lwg:26\l"]; +node1576 -- node1577 +node1576 -- node1578 +node1576 -- node1587 +node1577[label="id:1577\lwg:9\l"]; +node1578[label="id:1578\lwg:9\l"]; +node1578 -- node1579 +node1578 -- node1583 +node1578 -- node1584 +node1579[label="id:1579\lwg:37\l"]; +node1579 -- node1580 +node1579 -- node1581 +node1580[label="id:1580\lwg:4\l"]; +node1581[label="id:1581\lwg:16\l"]; +node1581 -- node1582 +node1582[label="id:1582\lwg:22\l"]; +node1583[label="id:1583\lwg:37\l"]; +node1584[label="id:1584\lwg:39\l"]; +node1584 -- node1585 +node1584 -- node1586 +node1585[label="id:1585\lwg:27\l"]; +node1586[label="id:1586\lwg:4\l"]; +node1587[label="id:1587\lwg:38\l"]; +node1587 -- node1588 +node1587 -- node1591 +node1587 -- node1594 +node1588[label="id:1588\lwg:9\l"]; +node1588 -- node1589 +node1589[label="id:1589\lwg:47\l"]; +node1589 -- node1590 +node1590[label="id:1590\lwg:50\l"]; +node1591[label="id:1591\lwg:23\l"]; +node1591 -- node1592 +node1591 -- node1593 +node1592[label="id:1592\lwg:44\l"]; +node1593[label="id:1593\lwg:33\l"]; +node1594[label="id:1594\lwg:41\l"]; +node1594 -- node1595 +node1595[label="id:1595\lwg:6\l"]; +node1596[label="id:1596\lwg:39\l"]; +node1597[label="id:1597\lwg:1\l"]; +node1597 -- node1598 +node1597 -- node1632 +node1598[label="id:1598\lwg:17\l"]; +node1598 -- node1599 +node1598 -- node1618 +node1598 -- node1623 +node1599[label="id:1599\lwg:39\l"]; +node1599 -- node1600 +node1599 -- node1601 +node1599 -- node1609 +node1599 -- node1617 +node1600[label="id:1600\lwg:10\l"]; +node1601[label="id:1601\lwg:36\l"]; +node1601 -- node1602 +node1601 -- node1605 +node1602[label="id:1602\lwg:9\l"]; +node1602 -- node1603 +node1602 -- node1604 +node1603[label="id:1603\lwg:2\l"]; +node1604[label="id:1604\lwg:12\l"]; +node1605[label="id:1605\lwg:46\l"]; 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-- node1625 +node1623 -- node1631 +node1624[label="id:1624\lwg:21\l"]; +node1625[label="id:1625\lwg:42\l"]; +node1625 -- node1626 +node1625 -- node1630 +node1626[label="id:1626\lwg:23\l"]; +node1626 -- node1627 +node1626 -- node1629 +node1627[label="id:1627\lwg:49\l"]; +node1627 -- node1628 +node1628[label="id:1628\lwg:23\l"]; +node1629[label="id:1629\lwg:1\l"]; +node1630[label="id:1630\lwg:32\l"]; +node1631[label="id:1631\lwg:47\l"]; +node1632[label="id:1632\lwg:45\l"]; +node1633[label="id:1633\lwg:48\l"]; +node1633 -- node1634 +node1633 -- node1671 +node1633 -- node1695 +node1633 -- node1736 +node1634[label="id:1634\lwg:13\l"]; +node1634 -- node1635 +node1634 -- node1639 +node1634 -- node1670 +node1635[label="id:1635\lwg:33\l"]; +node1635 -- node1636 +node1635 -- node1637 +node1635 -- node1638 +node1636[label="id:1636\lwg:6\l"]; +node1637[label="id:1637\lwg:7\l"]; +node1638[label="id:1638\lwg:43\l"]; +node1639[label="id:1639\lwg:2\l"]; +node1639 -- node1640 +node1639 -- node1649 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node1707 +node1707[label="id:1707\lwg:47\l"]; +node1707 -- node1708 +node1708[label="id:1708\lwg:1\l"]; +node1709[label="id:1709\lwg:9\l"]; +node1709 -- node1710 +node1709 -- node1711 +node1710[label="id:1710\lwg:13\l"]; +node1711[label="id:1711\lwg:31\l"]; +node1712[label="id:1712\lwg:16\l"]; +node1712 -- node1713 +node1712 -- node1716 +node1712 -- node1720 +node1712 -- node1725 +node1713[label="id:1713\lwg:7\l"]; +node1713 -- node1714 +node1714[label="id:1714\lwg:47\l"]; +node1714 -- node1715 +node1715[label="id:1715\lwg:41\l"]; +node1716[label="id:1716\lwg:10\l"]; +node1716 -- node1717 +node1717[label="id:1717\lwg:11\l"]; +node1717 -- node1718 +node1718[label="id:1718\lwg:13\l"]; +node1718 -- node1719 +node1719[label="id:1719\lwg:33\l"]; +node1720[label="id:1720\lwg:6\l"]; +node1720 -- node1721 +node1720 -- node1722 +node1721[label="id:1721\lwg:18\l"]; +node1722[label="id:1722\lwg:11\l"]; +node1722 -- node1723 +node1723[label="id:1723\lwg:34\l"]; +node1723 -- node1724 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+node1860[label="id:1860\lwg:23\l"]; +node1861[label="id:1861\lwg:7\l"]; +node1861 -- node1862 +node1862[label="id:1862\lwg:31\l"]; +node1863[label="id:1863\lwg:31\l"]; +node1863 -- node1864 +node1863 -- node1869 +node1864[label="id:1864\lwg:46\l"]; +node1864 -- node1865 +node1864 -- node1867 +node1865[label="id:1865\lwg:9\l"]; +node1865 -- node1866 +node1866[label="id:1866\lwg:13\l"]; +node1867[label="id:1867\lwg:46\l"]; +node1867 -- node1868 +node1868[label="id:1868\lwg:30\l"]; +node1869[label="id:1869\lwg:37\l"]; +node1870[label="id:1870\lwg:46\l"]; +} \ No newline at end of file diff --git a/BE_OpenMP_2021/.vscode/settings.json b/BE_OpenMP_2021/.vscode/settings.json new file mode 100644 index 0000000..9792498 --- /dev/null +++ b/BE_OpenMP_2021/.vscode/settings.json @@ -0,0 +1,3 @@ +{ + "editor.formatOnSave": false +} \ No newline at end of file diff --git a/BE_OpenMP_2021/Makefile b/BE_OpenMP_2021/Makefile new file mode 100644 index 0000000..7ffa55e --- /dev/null +++ b/BE_OpenMP_2021/Makefile @@ -0,0 +1,13 @@ +clean: + (cd butterfly; make clean) + (cd neural_network; make clean) + (cd norm2; make clean) + (cd pipelining; make clean) + (cd tree_bottomup; make clean) + + + + + + + diff --git a/BE_OpenMP_2021/butterfly/Makefile b/BE_OpenMP_2021/butterfly/Makefile new file mode 100644 index 0000000..53dfbb6 --- /dev/null +++ b/BE_OpenMP_2021/butterfly/Makefile @@ -0,0 +1,31 @@ +CC = gcc +LINK = $(CC) + +CFLAGS = -O3 -fopenmp -Wunknown-pragmas +# CFLAGS = -g -fopenmp +LDFLAGS = $(CFLAGS) +LIBS = -lm + +OBJS = aux.o main.o + +main: $(OBJS) + $(LINK) -o $@ $(LDFLAGS) $(OBJS) $(LIBS) + + + + + + +clean: + (rm -f *.o main) + + + +%.o: %.c + $(CC) $(CFLAGS) $(CINCLUDES) $(INCLUDES) $(CDEFS) $(PREC) -c $< +%.o: %.f90 + $(FC) $(FCFLAGS) $(FINCLUDES) $(INCLUDES) $(FDEFS) $(DEFINE_PREPEND)$(PREC) -c $< + + + + diff --git a/BE_OpenMP_2021/butterfly/aux.c b/BE_OpenMP_2021/butterfly/aux.c new file mode 100644 index 0000000..7d25f7b --- /dev/null +++ b/BE_OpenMP_2021/butterfly/aux.c @@ -0,0 +1,72 @@ +#include "aux.h" + +void generate_array(int n, int **array, int *res){ + + int i; + + *res = 0; + + *array = (int*)malloc(n*sizeof(int)); + + for(i=0; i +#include +#include +#include +#include +#include + +#define MIN(a,b) (((a)<(b))?(a):(b)) + + +int operator(int a, int b); +void generate_array(int n, int **array, int *res); +void mysleep(double t); +long usecs (); +void check_result(int n, int *array, int res); + + diff --git a/BE_OpenMP_2021/butterfly/main.c b/BE_OpenMP_2021/butterfly/main.c new file mode 100644 index 0000000..311c29b --- /dev/null +++ b/BE_OpenMP_2021/butterfly/main.c @@ -0,0 +1,146 @@ +#include "aux.h" + +void butterfly_seq(int n, int l, int *array); +void butterfly_par(int n, int l, int *array); + +int main(int argc, char **argv) +{ + long t_start, t_end; + int i, n, l, res; + int *array_seq, *array_par; + + if (argc == 2) + { + l = atoi(argv[1]); + } + else + { + printf("Usage:\n\n ./main l\n\nwhere l defines the size of the array n=2^l.\n"); + return 1; + } + + n = pow(2, l); + + printf("\nGenerating an array with %d elements\n", n); + generate_array(n, &array_seq, &res); + + array_par = (int *)malloc(n * sizeof(int)); + for (i = 0; i < n; i++) + array_par[i] = array_seq[i]; + + if (n <= 32) + { + printf("array_seq=["); + for (i = 0; i < n; i++) + { + printf("%d ", array_seq[i]); + } + printf("]\n"); + } + printf("The expected result is : %d\n\n\n\n", res); + + t_start = usecs(); + butterfly_seq(n, l, array_seq); + t_end = usecs(); + + printf("Sequential time : %8.2f msec.\n", ((double)t_end - t_start) / 1000.0); + + if (n <= 32) + { + printf("The result of the sequential reduction is\n"); + printf("array_seq=["); + for (i = 0; i < n; i++) + printf("%d ", array_seq[i]); + printf("]\n"); + } + printf("\n\n\n"); + + t_start = usecs(); + butterfly_par(n, l, array_par); + t_end = usecs(); + + printf("Parallel time : %8.2f msec.\n", ((double)t_end - t_start) / 1000.0); + + if (n <= 32) + { + printf("The result of the parallel reduction is\n"); + printf("array_par=["); + for (i = 0; i < n; i++) + printf("%d ", array_par[i]); + printf("]\n\n"); + } + + check_result(n, array_par, res); +} + +void butterfly_seq(int n, int l, int *array) +{ + + int p, i, j, s; + + p = 0; + + while (p < l) + { + s = pow(2, p); + for (i = 0; i < n; i += 2 * s) + { + for (j = 0; j < s; j++) + { + int r = operator(array[i + j], array[i + j + s]); + array[i + j] = r; + array[i + j + s] = r; + } + } + p += 1; + } +} + +// void butterfly_par(int n, int l, int *array){ + +// int p, i, j, s; + +// p = 0; + +// while(pAg^n?UjLK{+`)ni$wXxo^~HNV;vZA@rQ8-$^W!1>zn_JDcxVb!NLbdFzv` z1xhDSrBPVu{d$2zvqMJEcWV%Eq{HrdGqcF$B4>Ynfb~9n8oZudi&G&LB9I1>ca;S@ z24av!kN`CVl646`#QS1={AtT$K-^`+9Au%bs$32;sAG@o;@|N#W+KF4q^nR(K&+0} zrx`~P>{u0G!z5JEu~0hDQqDywk5|#+LfER&DcIwD?ReJG6cG zNSf!d3EjEPn?y^#ocOZ2Fr#06VQE3f>^#>vcjKe?1~;qm3(gmU zxYcXh^^Yy$vpD)AECw~R%Ea%sZ4Xpb9dDr-c2prc6-X5Aq;Nen*-G2HO%`ep9A$`N 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z$v|J!EVnLQnncPvH^vm+3*nVH1rkad&(MWSsovshlkMg+KN{lXlaFCXX(dgtTrX&Z z`bB4d%8fkBZ1X~aXIqMUZ)R=+t(V^YQiDt@Evw;{6V&)^5JkVZIktLt(KegB2QFhKk;SvqJuL*HaBy6Kk#Sw4~Trg zK^*z=#;aHgPEkhNy;%7zIs(Ch)(f=0QjN3`icHa!DcMPSPIET0ch^^guhe#|)YYaR z^5x_g4ck?Y>Zgu%XC(%=H+5w61V40Zh`c`Ohf70057=V5SFQJqH3p)UtK}B@hvz#aH+`Ir zb@;c|`K*t+XE3jMJ+d|PrJ=u>HW<&3iq6mU2jdaihCgS6PksFj+am1nbXMS3A08G5 z&`A+9d_JdZZ`UXDBWlGE)kNNd1`K!D)a6|75T4FHj0_bD5Y!+hg!mxHq!lyR{Je}i zyMXZ?l-EzroaTGc#_L%hekg9sWL#pc{HaVLCl(K!Xl?bMN~O5G9QgsKqmz5n zquHzaddF&gw;X(6%^4JNZ)=J!^MK9oPX(TlDlG)-$X4Ftz3#N9kI^ZF(SYdAN{zeA zALkai^d8QhiG2S0obwNR{K6#uE$j5^Xy@eREit*MAXX;{rU*JW@;73K->bW^zoc$q zakp0W{x-i-?e9@`$mw=W^g}9JEDwPXwfiwHizO zuCw@$G#82<8p&$U-l+CfrhR5`FRBGsJsShl0e8Ny$5uwa{U(IGDuU9)oixk}w7a5K zaa)xvo-Dqf8^RBkF51fG&@3~5FU)u|zR77}A&3kkWEXqS%v%2CKknsXO?KyVFqfzZ zZ0-9d%34rDo#C^R_QX z(wcr>p6XQP@s!id6D6db39S7#tDtSnE#rBV9qhRs=Dy30vZ;sH{;AE$Wtp>LTh-=h ze?ZM{IlO~>USN~gFu%%~#N9GKHP(x>vgjIUca`_$&y_V-W$2x4au1hH}oiLtQ@vjaIr1Vw~7*@T(+0ROki`zkVE8&fAU0FaaAzcBd! z2MDJe{jDgZh%LJD8-o;)IwZ`06P^0-`vfj(gnmT1e}oJdAPkxwwfI36$^cT0q4qeR-js13$E{RkhhFO(4q!HUC8zC*GzVs!< zMx(x{7#ceVc3G7-RFHtS8bxIx;0K2<;pc9QnVcHF>M)prxe +#include +#include +#include +#include +#include "aux.h" + +int ISEED[4] = {0,0,0,1}; +int IONE=1; +char NoTran = 'N'; +double DONE=1.0, DMONE=-1.0; +double alpha=1.0, beta=0.0; + +void init_data(layer **L, data **Ds, data **Dpl, data **Dpt, int n, int m, int l){ + + int i, j, lay, mm; + + *L = (layer*) malloc(l*sizeof(layer)); + *Ds = (data*) malloc((l+1)*sizeof(data)); + *Dpl = (data*) malloc((l+1)*sizeof(data)); + *Dpt = (data*) malloc((l+1)*sizeof(data)); + + + mm = m*m; + + + for(lay=0; lay mx) + mx = fabs((X1[i].b)[k]-(X2[i].b)[k])/fabs((X1[i].b)[k]); + } + } + + printf("The maximum difference on coefficients is %e\n",mx); + +} + + + +long usecs (){ + struct timeval t; + + gettimeofday(&t,NULL); + return t.tv_sec*1000000+t.tv_usec; +} diff --git a/BE_OpenMP_2021/neural_network/aux.h b/BE_OpenMP_2021/neural_network/aux.h new file mode 100644 index 0000000..f578aef --- /dev/null +++ b/BE_OpenMP_2021/neural_network/aux.h @@ -0,0 +1,30 @@ +struct { + double *b; +} typedef block; + +struct { + block **W, *b; +} typedef layer; + +struct { + block *X; +} typedef data; + + + +void block_mult(block a, block b, block c, int nb); +void block_bias_act(block a, block b, int nb); +void init_data(layer **L, data **Ds, data **Dpl, data **Dpt, int n, int nb, int l); +long usecs (); +void compare_output(block *X1, block *, int n, int nb); + +void dgemm_ (char *TRANSA, char *TRANSB, + int *M, int *N, int *K, + double *ALPHA, + double *A, int *LDA, + double *B, int *LDB, + double *BETA, + double *C, int *LDC); + +void dlarnv_(int *idist, int *iseed, int *n, double *x); +void dcopy_(int *n, double *x, int *ix, double *y, int *iy); diff --git a/BE_OpenMP_2021/neural_network/main.c b/BE_OpenMP_2021/neural_network/main.c new file mode 100644 index 0000000..5399002 --- /dev/null +++ b/BE_OpenMP_2021/neural_network/main.c @@ -0,0 +1,129 @@ +#include +#include +#include +#include +#include +#include "omp.h" +#include "aux.h" + +void sequential_nn(layer *Layers, data *D, int n, int m, int L); +void parallel_nn_loops(layer *Layers, data *D, int n, int m, int L); +void parallel_nn_tasks(layer *Layers, data *D, int n, int m, int L); + +int main(int argc, char **argv) +{ + int n, m, N, L; + long t_start, t_end; + layer *Layers; + data *Datas_s, *Datas_pl, *Datas_pt; + + // Command line arguments + if (argc == 4) + { + n = atoi(argv[1]); /* size of layer matrix n */ + m = atoi(argv[2]); /* size of batch */ + L = atoi(argv[3]); /* number of layers in the network */ + } + else + { + printf("Usage:\n\n ./main n m L\n\nsuch that nxm is the size of the layers and L is the number of layers and m is the batch size.\n"); + return 1; + } + + N = (n / m); + + init_data(&Layers, &Datas_s, &Datas_pl, &Datas_pt, N, m, L); + + /* Sequential version */ + t_start = usecs(); + sequential_nn(Layers, Datas_s, N, m, L); + t_end = usecs(); + printf("Sequential time : %8.2f msec.\n", ((double)t_end - t_start) / 1000.0); + + /* Parallel with loops */ + t_start = usecs(); + parallel_nn_loops(Layers, Datas_pl, N, m, L); + t_end = usecs(); + printf("Parallel loops time : %8.2f msec. ", ((double)t_end - t_start) / 1000.0); + /* Comprare the two resulting outputs */ + compare_output(Datas_s[L].X, Datas_pl[L].X, N, m); + + /* Parallel with tasks */ + t_start = usecs(); + parallel_nn_tasks(Layers, Datas_pt, N, m, L); + t_end = usecs(); + printf("Parallel tasks time : %8.2f msec. ", ((double)t_end - t_start) / 1000.0); + /* Comprare the two resulting outputs */ + compare_output(Datas_s[L].X, Datas_pt[L].X, N, m); + + return 0; +} + +void sequential_nn(layer *Layers, data *Datas, int N, int m, int L) +{ + int i, j, k, l; + + for (l = 0; l < L; l++) + { + for (i = 0; i < N; i++) + for (j = 0; j < N; j++) + { + block_mult(Layers[l].W[i][j], Datas[l].X[j], Datas[l + 1].X[i], m); + } + + for (i = 0; i < N; i++) + block_bias_act(Layers[l].b[i], Datas[l + 1].X[i], m); + } +} + +void parallel_nn_loops(layer *Layers, data *Datas, int N, int m, int L) +{ + int i, j, l; + +#pragma omp parallel private(i, j, l) + + for (l = 0; l < L; l++) + { + +#pragma omp for + for (i = 0; i < N; i++) + { + for (j = 0; j < N; j++) + { + block_mult(Layers[l].W[i][j], Datas[l].X[j], Datas[l + 1].X[i], m); + } + } + +#pragma omp for + for (i = 0; i < N; i++) + { + block_bias_act(Layers[l].b[i], Datas[l + 1].X[i], m); + } + + } +} + +void parallel_nn_tasks(layer *Layers, data *Datas, int N, int m, int L) +{ + int i, j, l; + +#pragma omp parallel +#pragma omp master + + for (l = 0; l < L; l++) + { + for (i = 0; i < N; i++) + { + for (j = 0; j < N; j++) + { +#pragma omp task firstprivate(i, j, l) depend(in: Datas[l].X[j]) depend(inout: Datas[l + 1].X[i]) + block_mult(Layers[l].W[i][j], Datas[l].X[j], Datas[l + 1].X[i], m); + } + for (i = 0; i < N; i++) + { +#pragma omp task firstprivate(i, l) depend(inout: Datas[l + 1].X[i]) + block_bias_act(Layers[l].b[i], Datas[l + 1].X[i], m); + } + } + } +} diff --git a/BE_OpenMP_2021/neural_network/subject.pdf b/BE_OpenMP_2021/neural_network/subject.pdf new file mode 100644 index 0000000000000000000000000000000000000000..aa047aa336cab33c29362dbfbe952bcc709fcdd5 GIT binary patch literal 145525 zcma&MQ?M|=(j<6n+qP}nwr$(CZQIs&Y}>YNWADz+Jl%=dzoVifJNl`+Dju07|M*`5;&l&ddCZCaa*p^oh3O&(47**E2G zey$H|_4XE-OJYuW^?ATK!Gblp`<@>Cx&i4G|H=!D@yojI#_u z%tck@lmAr%IZh%4`rk)DTXow}nNtOT%m-&mDL!vldM?;HMHpi^@&@d45#x%hNVdy5 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$(FINCLUDES) $(INCLUDES) $(FDEFS) $(DEFINE_PREPEND)$(PREC) -c $< + + + + diff --git a/BE_OpenMP_2021/norm2/main.c b/BE_OpenMP_2021/norm2/main.c new file mode 100644 index 0000000..71fe087 --- /dev/null +++ b/BE_OpenMP_2021/norm2/main.c @@ -0,0 +1,139 @@ +#include +#include +#include +#include +#include + +long usecs (){ + struct timeval t; + + gettimeofday(&t,NULL); + return t.tv_sec*1000000+t.tv_usec; +} + +double dnorm2_seq(double *x, int n); +double dnorm2_par_red(double *x, int n); +double dnorm2_par_nored(double *x, int n); + + +int main(int argc, char *argv[]){ + + int n, i; + double *x; + double n2_seq, n2_par_red, n2_par_nored; + long t_start,t_end; + + + if(argc!=2){ + printf("Wrong number of arguments.\n Usage:\n\n\ +./main n \n\n where n is the size of the vector x whose 2-norm has to be computed.\n"); + return 1; + } + + + sscanf(argv[1],"%d",&n); + + + x = (double*)malloc(sizeof(double)*n); + + for(i=0; i 1e-10) { + printf("The parallel version with reduction is numerically wrong! \n"); + } else { + printf("The parallel version with reduction is numerically okay!\n"); + } + + if(fabs(n2_seq-n2_par_nored)/n2_seq > 1e-10) { + printf("The parallel version without reduction is numerically wrong!\n"); + } else { + printf("The parallel version without reduction is numerically okay!\n"); + } + + return 0; + +} + + + +double dnorm2_seq(double *x, int n){ + int i; + double res; + + res = 0.0; + + for(i=0; iC5&M%LwLo*XF5ZD=7Li6xI)61CHnmL;jFmkdp6a3!`nqJJp+S$aB zfL_enz}ZB^#K_Lr1e%Wz+R53`#J~pHeX~YgEAFrr)i+PCAdGL_dtIoe??HYZY78fN@#7^W*tC)OA}T*KVk2A$aP> zb1XxVbp>m-ihsI=drHLJ#JItVopnUBCWMm2vH_Kiww>4KRc$XZ$qZ7#w$oFF`g1#_ znl9Ud-?iIx=sg-&rZA6n=kn#-m6|?uMpG-kD*Wx$GALUr6W-pYb4Yq<$txl^bAPu& zt*eT!Si4yX`+*=BoY}Bmk-UMUJD#4ByHbWK`)8`Az20(w+=xrfLHM6O@{A*~jd8z& znar_9`-PPkBF-X76Yno%A{w44W??AIXv5m|hfJ64kB8gid#G>-%YH;X=b;#hhGhl= z*#z;&7I1?)EAfBNq3W82p5v-H+2FuIRrtx(4b zCXkZ??H*p033y{V;|LgJm=!_gm=~DSKR_5h95k>yOVldQ|I^H6NOA4?VnuLT5H^ zrAFhKwwJ9UQyJy^ByZxtYf` 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z)nxJ%|4IplDXP2Wohf6Rdx)d2Q_wCB0z^M~hg%Fry@ky48&R_#TLMKF@*MM@QX6BkK;o|6i7J-X_^8UG$Nc`^+_}GZ!H9(;{2!t-+ L{CRU*3&6ht6zfZ= literal 0 HcmV?d00001 diff --git a/BE_OpenMP_2021/pack.sh b/BE_OpenMP_2021/pack.sh new file mode 100755 index 0000000..4fc09e8 --- /dev/null +++ b/BE_OpenMP_2021/pack.sh @@ -0,0 +1,8 @@ +#!/bin/bash + +make clean; +mkdir $USER +cp -r butterfly neural_network norm2 pipelining tree_bottomup $USER; +cd $USER; find . -not \( -name "*.c" -or -name "Makefile" -or -name "*.h" -or -type d \) | xargs rm; cd ..; +tar zcvf $USER.tgz $USER; +rm -rf $USER; diff --git a/BE_OpenMP_2021/pipelining/Makefile b/BE_OpenMP_2021/pipelining/Makefile new file mode 100644 index 0000000..ca7601a --- /dev/null +++ b/BE_OpenMP_2021/pipelining/Makefile @@ -0,0 +1,27 @@ +CC = gcc +LINK = $(CC) + +CFLAGS = -O3 -fopenmp -Wunknown-pragmas +# CFLAGS = -g -fopenmp +LDFLAGS = $(CFLAGS) +LIBS = -lm + +OBJS = aux.o main.o + +main: $(OBJS) + $(LINK) -o $@ $(LDFLAGS) $(OBJS) $(LIBS) + + +clean: + (rm -f *.o main) + + + +%.o: %.c + $(CC) $(CFLAGS) $(CINCLUDES) $(INCLUDES) $(CDEFS) $(PREC) -c $< +%.o: %.f90 + $(FC) $(FCFLAGS) $(FINCLUDES) $(INCLUDES) $(FDEFS) $(DEFINE_PREPEND)$(PREC) -c $< + + + + diff --git a/BE_OpenMP_2021/pipelining/aux.c b/BE_OpenMP_2021/pipelining/aux.c new file mode 100644 index 0000000..11114df --- /dev/null +++ b/BE_OpenMP_2021/pipelining/aux.c @@ -0,0 +1,105 @@ +#include +#include +#include +#include +#include +#include "aux.h" +#include "omp.h" + + +long usecs (){ + struct timeval t; + + gettimeofday(&t,NULL); + return t.tv_sec*1000000+t.tv_usec; +} + + + +void mysleep(double sec){ + + long s, e; + s=0; e=0; + s = usecs(); + while(((double) e-s)/1000000 < sec) + { + e = usecs(); + } + return; +} + + +void init_data(data **datas, resource **resources, int ndatas, int nsteps){ + + int d, s; + + *datas = (data*) malloc(ndatas*sizeof(data)); + *resources = (resource*) malloc(nsteps*sizeof(resource)); + + for (d=0; dbusy == -9){ + r->busy = omp_get_thread_num(); + if(r->i != s) { + printf("Error!!! trying to use resource %d for step %d.\n",r->i,s); + r->busy = -9; + return; + } + + if(datas[d].i == s-1){ + t = 0.2/((double)r->nr); + mysleep(t); + datas[d].i = s; + datas[d].v = datas[d].v*2 + s; + } else { + printf("Error!!! trying step %d on data %d but step %d is not done.\n",s,d,s-1); + r->busy = -9; + return; + } + r->busy = -9; + } else { + printf("Error!!! trying to use resource %d but it is busy.\n",r->i); + } + +} + + +void check_result(data *datas, int ndatas, int nsteps){ + + int d, s; + long v; + + + for (d=0; d +#include +#include +#include +#include +#include "omp.h" +#include "aux.h" + +void pipeline(data *datas, resource *resources, int ndatas, int nsteps); + + +int main(int argc, char **argv){ + int n, i, s, d, ndatas, nsteps; + long t_start, t_end; + data *datas; + resource *resources; + + // Command line arguments + if ( argc == 3 ) { + ndatas = atoi(argv[1]); /* num of datas */ + nsteps = atoi(argv[2]); /* num of steps */ + } else { + printf("Usage:\n\n ./main ndatas nsteps\n where ndatas is the number of data and nsteps the number of steps.\n"); + return 1; + } + + init_data(&datas, &resources, ndatas, nsteps); + + /* Process all the data */ + t_start = usecs(); + pipeline(datas, resources, ndatas, nsteps); + t_end = usecs(); + printf("Execution time : %8.2f msec.\n",((double)t_end-t_start)/1000.0); + + + check_result(datas, ndatas, nsteps); + + return 0; + +} + + + +void pipeline(data *datas, resource *resources, int ndatas, int nsteps){ + + int d, s; + + omp_lock_t *locks = malloc(sizeof(omp_lock_t)*nsteps); + for (s = 0; s < nsteps; s++) + { + omp_init_lock(locks+s); + } + + /* Loop over all the data */ +#pragma omp parallel for private(s) + for (d=0; d-w6&Lz5S+qP}nwr$(CZQHi(y}xbSwt3IJnYk}#lKK14wCPKmtTd}2RS*%Q zWu#+;BAs6zU58>LU?8wJvV!8_fuff&wKI3IAYfwQ;3W9}1d3kF(#FNqiGW_r#?Zx7 z#MIc{#1x8;56aoa$<)vm%42g@OFDjA46g5A{k*MrfJ^6Y64Ei!HP^a9VC+FBC*Q;l 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nc, curr->parent->id); */ + if(fp!=NULL) + fprintf(fp, "%d -- %d \n", curr->parent->id, curr->id); + } + + + for(i=0; iparent!=NULL){ */ + /* printf("%d -- Visiting node %d %d\n",omp_get_thread_num(), node->id, node->parent->visited); */ + /* } else { */ + /* printf("%d -- Visiting node %d\n",omp_get_thread_num(), node->id); */ + /* } */ +#pragma omp atomic update + tot_visited++; +#pragma omp atomic update + check_res += node->data; + mysleep(0.0001); + return ; +} + + +void check_result(){ + if((tot_visited==to_be_visited) && (check_res==res)){ + printf("The result is CORRECT\n"); + } else { + printf("The result is WRONG!!!! %d %lu %lu\n",tot_visited,res,check_res); + } +} diff --git a/BE_OpenMP_2021/tree_bottomup/aux.h b/BE_OpenMP_2021/tree_bottomup/aux.h new file mode 100644 index 0000000..beae21f --- /dev/null +++ b/BE_OpenMP_2021/tree_bottomup/aux.h @@ -0,0 +1,23 @@ +#include +#include +#include +#include +#include + +#define NCHILDREN 2 +#define MIN(a,b) (((a)<(b))?(a):(b)) + + +struct node{ + unsigned id; + unsigned long data; + struct node *parent; +}; + +void generate_node(struct node *parent, int nnodes, int *id, struct node **leaves, int *nleaves, FILE *fp); +void process_node(struct node *node); +long usecs (); +void check_result(); +void generate_tree(int nnodes, struct node ***leaves, int *nleaves); + + diff --git a/BE_OpenMP_2021/tree_bottomup/main.c b/BE_OpenMP_2021/tree_bottomup/main.c new file mode 100644 index 0000000..d40558d --- /dev/null +++ b/BE_OpenMP_2021/tree_bottomup/main.c @@ -0,0 +1,65 @@ +#include "aux.h" + + +void bottom_up(int nleaves, struct node **leaves, int nnodes); + +int main(int argc, char **argv){ + long t_start, t_end; + int nnodes, nleaves; + struct node **leaves; + + // Command line argument: number of nodes in the tree + if ( argc == 2 ) { + nnodes = atoi(argv[1]); + } else { + printf("Usage:\n\n ./main n\n\nwhere n is the number of nodes in the tree.\n"); + return 1; + } + + printf("\nGenerating a tree with %d nodes\n\n",nnodes); + generate_tree(nnodes, &leaves, &nleaves); + + t_start = usecs(); + bottom_up(nleaves, leaves, nnodes); + t_end = usecs(); + + printf("Parallel time : %8.2f msec.\n\n",((double)t_end-t_start)/1000.0); + + check_result(); + +} + + +/* You can change the number and type of arguments if needed. */ +/* Just don't forget to update the interface declaration above. */ +void bottom_up(int nleaves, struct node **leaves, int nnodes){ + + int l, i, v; + struct node *curr; + int *visited = malloc(sizeof(int) * nnodes); + +#pragma omp paralell for private(curr, v) + for (l = 0; l < nleaves; l++) + { + curr = leaves[l]; + + while (curr) { +#pragma omp atomic capture + v = visited[curr->id-1]++; + + if (v>0) + { + break + } + else { + process_node(curr); + curr = curr->parent; + } + } + } +} + + + + + diff --git a/BE_OpenMP_2021/tree_bottomup/subject.pdf b/BE_OpenMP_2021/tree_bottomup/subject.pdf new file mode 100644 index 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z^RGX6W=#@ZRuVQ6)~_)YM@KgjcAl^GD*rLJa3uM!{Ovy-aS~mA01Fq3xEPNp2M17s zgO!sBIae0h;Gcd&G``VxTuUn=h;{}0Ix;RGL6KNv>X zzf3QoUCfXqFE@-I1+MeuY9Q^PksCEEV>r(IzrWeHpJ#Fqz +#include +#include +#include + +#define MIN(a,b) (((a)<(b))?(a):(b)) +#define MAX(a,b) (((a)>(b))?(a):(b)) + +long usecs (); +void func1(int i, int n); +void func2(int i, int n); +void func3(int i, int n); diff --git a/BE_OpenMP_2022/norm1/main.c b/BE_OpenMP_2022/norm1/main.c new file mode 100644 index 0000000..b496662 --- /dev/null +++ b/BE_OpenMP_2022/norm1/main.c @@ -0,0 +1,178 @@ +#include "aux.h" +#include "omp.h" + +double norm1(double **A, int m, int n); +double norm1_colmajor(double **A, int m, int n); +double norm1_rowmajor(double **A, int m, int n); + +int main(int argc, char **argv) +{ + long t_start, t_end; + int m, n, i, j; + double nrm, nrmrm, nrmcm; + double **A; + + // Command line argument: matrix size + if (argc == 3) + { + m = atoi(argv[1]); /* the number of matrix rows */ + n = atoi(argv[2]); /* the number of matrix cols */ + } + else + { + printf("Usage:\n\n ./main n m\n\nwhere m and n are the number of rows and cols in the matrix\n"); + return 1; + } + + A = (double **)malloc(m * sizeof(double *)); + for (i = 0; i < m; i++) + { + A[i] = (double *)malloc(n * sizeof(double)); + + for (j = 0; j < n; j++) + { + A[i][j] = ((double)rand() / (double)RAND_MAX); + } + } + + /* warm up */ + nrm = norm1(A, m, n); + + t_start = usecs(); + nrm = norm1(A, m, n); + t_end = usecs() - t_start; + printf("Sequential -- norm:%8.4f time (usecs):%6ld\n", nrm, t_end); + + t_start = usecs(); + nrmcm = norm1_colmajor(A, m, n); + t_end = usecs() - t_start; + printf("Col-major -- norm:%8.4f time (usecs):%6ld\n", nrmcm, t_end); + + t_start = usecs(); + nrmrm = norm1_rowmajor(A, m, n); + t_end = usecs() - t_start; + printf("Row-major -- norm:%8.4f time (usecs):%6ld\n", nrmrm, t_end); + + printf("\n"); + + return 0; +} + +double norm1(double **A, int m, int n) +{ + int i, j; + double nrm, tmp; + nrm = 0.0; + + for (j = 0; j < n; j++) + { + tmp = 0.0; + for (i = 0; i < m; i++) + { + tmp += fabs(A[i][j]); + } + if (tmp > nrm) + nrm = tmp; + } + + return nrm; +} + +double norm1_colmajor(double **A, int m, int n) +{ + int i, j; + double nrm = 0.0; + double tmp; + +#pragma omp parallel private(i, j, tmp) shared(nrm) + +#pragma omp for + for (j = 0; j < n; j++) + { + tmp = 0.0; + for (i = 0; i < m; i++) + { + tmp += fabs(A[i][j]); + } + + if (tmp > nrm) + { +#pragma omp atomic write + nrm = tmp; + } + } + + return nrm; +} + +double norm1_rowmajor(double **A, int m, int n) +{ + int i, j; + double nrm, *tmp; + + nrm = 0.0; + tmp = (double *)malloc(n * sizeof(double)); + for (j = 0; j < n; j++) + { + tmp[j] = 0.0; + } + +#pragma omp parallel private(i, j) shared(tmp) + +#pragma omp for + for (i = 0; i < m; i++) + { + for (j = 0; j < n; j++) + { +#pragma omp atomic update + tmp[j] += fabs(A[i][j]); + } + } + +#pragma omp single + { + for (int k = 0; k < n; k++) + { + if (tmp[k] > nrm) + { + nrm = tmp[k]; + } + } + + free(tmp); + } + + return nrm; +} + +/* + +Résultats: n=100000 m=1000 + +threads = 1: +Sequential -- norm:50277.9944 time (usecs):770322 +Col-major -- norm:50277.9944 time (usecs):766831 +Row-major -- norm:50277.9944 time (usecs):775600 + +threads = 2: +Sequential -- norm:50277.9944 time (usecs):745682 +Col-major -- norm:50277.9944 time (usecs):394515 +Row-major -- norm:50277.9944 time (usecs):954254 + +threads = 4: +Sequential -- norm:50277.9944 time (usecs):747250 +Col-major -- norm:50277.9944 time (usecs):296826 +Row-major -- norm:50277.9944 time (usecs):559891 + +threads = 30: +Sequential -- norm:50277.9944 time (usecs):748683 +Col-major -- norm:50277.9944 time (usecs):253433 +Row-major -- norm:50277.9944 time (usecs):436225 + + +On observe que col-major est la plus rapide. +Cela est surement dû au atomic update nécéssaire dans la boucle for. +Une version meilleur serait de créer une liste tmp par thread, et de ensuite les sommer à la fin, +mais une ébauche non finis est disponible dans le fichier main.c.broken. + +*/ \ No newline at end of file diff --git a/BE_OpenMP_2022/norm1/main.c.broken b/BE_OpenMP_2022/norm1/main.c.broken new file mode 100644 index 0000000..94d8b47 --- /dev/null +++ b/BE_OpenMP_2022/norm1/main.c.broken @@ -0,0 +1,194 @@ +#include "aux.h" +#include "omp.h" +#define MAX_THREADS 30 + +double norm1(double **A, int m, int n); +double norm1_colmajor(double **A, int m, int n); +double norm1_rowmajor(double **A, int m, int n); + +int main(int argc, char **argv) +{ + long t_start, t_end; + int m, n, i, j; + double nrm, nrmrm, nrmcm; + double **A; + + // Command line argument: matrix size + if (argc == 3) + { + m = atoi(argv[1]); /* the number of matrix rows */ + n = atoi(argv[2]); /* the number of matrix cols */ + } + else + { + printf("Usage:\n\n ./main n m\n\nwhere m and n are the number of rows and cols in the matrix\n"); + return 1; + } + + A = (double **)malloc(m * sizeof(double *)); + for (i = 0; i < m; i++) + { + A[i] = (double *)malloc(n * sizeof(double)); + + for (j = 0; j < n; j++) + { + A[i][j] = ((double)rand() / (double)RAND_MAX); + } + } + + /* warm up */ + nrm = norm1(A, m, n); + + t_start = usecs(); + nrm = norm1(A, m, n); + t_end = usecs() - t_start; + printf("Sequential -- norm:%8.4f time (usecs):%6ld\n", nrm, t_end); + + t_start = usecs(); + nrmcm = norm1_colmajor(A, m, n); + t_end = usecs() - t_start; + printf("Col-major -- norm:%8.4f time (usecs):%6ld\n", nrmcm, t_end); + + t_start = usecs(); + nrmrm = norm1_rowmajor(A, m, n); + t_end = usecs() - t_start; + printf("Row-major -- norm:%8.4f time (usecs):%6ld\n", nrmrm, t_end); + + printf("\n"); + + return 0; +} + +double norm1(double **A, int m, int n) +{ + int i, j; + double nrm, tmp; + nrm = 0.0; + + for (j = 0; j < n; j++) + { + tmp = 0.0; + for (i = 0; i < m; i++) + { + tmp += fabs(A[i][j]); + } + if (tmp > nrm) + nrm = tmp; + } + + return nrm; +} + +double norm1_colmajor(double **A, int m, int n) +{ + int i, j; + double nrm = 0.0; + double tmp; + +#pragma omp parallel private(i, j, tmp) shared(nrm) + +#pragma omp for + for (j = 0; j < n; j++) + { + tmp = 0.0; + for (i = 0; i < m; i++) + { + tmp += fabs(A[i][j]); + } + + if (tmp > nrm) + { +#pragma omp atomic write + nrm = tmp; + } + } + + return nrm; +} + +double norm1_rowmajor(double **A, int m, int n) +{ + int i, j; + double nrm, **tmp, *tmp_sum; + + nrm = 0.0; + + tmp = (double **)malloc(m * sizeof(double *)); + for (i = 0; i < m; i++) + { + tmp[i] = (double *)malloc(MAX_THREADS * sizeof(double)); + + for (j = 0; j < MAX_THREADS; j++) + { + tmp[i][j] = 0.0; + } + } + +#pragma omp parallel private(i, j) shared(tmp) + +#pragma omp for + for (i = 0; i < m; i++) + { + for (j = 0; j < n; j++) + { +#pragma omp atomic update + tmp[j][omp_get_thread_num()] += fabs(A[i][j]); + } + } + +#pragma omp single + { + + for (i = 0; i < m; i++) + { + for (j = 0; j < MAX_THREADS; j++) + { + tmp_sum[i] = tmp[i][j]; + } + } + + for (int k = 0; k < n; k++) + { + if (tmp_sum[k] > nrm) + { + nrm = tmp_sum[k]; + } + } + + free(tmp_sum); + } + + return nrm; +} + +/* + +Résultats: n=100000 m=1000 + +threads = 1: +Sequential -- norm:50277.9944 time (usecs):770322 +Col-major -- norm:50277.9944 time (usecs):766831 +Row-major -- norm:50277.9944 time (usecs):775600 + +threads = 2: +Sequential -- norm:50277.9944 time (usecs):745682 +Col-major -- norm:50277.9944 time (usecs):394515 +Row-major -- norm:50277.9944 time (usecs):954254 + +threads = 4: +Sequential -- norm:50277.9944 time (usecs):747250 +Col-major -- norm:50277.9944 time (usecs):296826 +Row-major -- norm:50277.9944 time (usecs):559891 + +threads = 30: +Sequential -- norm:50277.9944 time (usecs):748683 +Col-major -- norm:50277.9944 time (usecs):253433 +Row-major -- norm:50277.9944 time (usecs):436225 + + +On observe que col-major est la plus rapide. +Cela est surement dû au atomic update nécéssaire dans la boucle for. +Une version meilleur serait de créer une liste tmp par thread, et de ensuite les sommer à la fin, +une ébauche non finis est disponible dans le fichier main.c.broken + +*/ \ No newline at end of file diff --git a/BE_OpenMP_2022/norm1/subject.pdf b/BE_OpenMP_2022/norm1/subject.pdf new file mode 100644 index 0000000000000000000000000000000000000000..526047d93f89712d41ab14e5730c2e3207e1e809 GIT binary patch literal 127083 zcma&NQ;;q|v!>g&ZQHhu)wXS8wQbwBZQHh2+qS#E`RAP3S9?dy|i{$YBgmYjwDd}zBKL=K*7cMuif1-yeFM^pwR7I}q4ON1LD#7{d*?$@ zYMR>`cbG3lAG_s$XZh{9vG0AmeeJpLb&aq(ga~iZrzc6*Cf6>`SWAzzhd1rnhN4+L zRGzz;8SF=uAKCu`=W*D@gVyFhG1ONT(EtoM5XE@#V0gA$U!I&M!kg^QOM1(L4;l`v z$PTw5o^|rhT56sOX$2Eca~M@MW@y0`=J+&`*Z@2zRoKMy8H&;pU_nqR`N$q+EP^QC zXxyfeM!PcMU};YEsFMT5VycoPokUaD6UPkGBQS)+U{Wz`vwzv}nk^UpELM@m%L-7I+MvW0Z zYZ`3^hm$6|UIulH?odsjE{s1IYo>xgV_(!XfPFu^b|wRPaisq1SCbT_hAi7y{yo~( zC0g6ndMWRItX%J52ips}Do(}$% zxz4aMt|L`}o+Q{0Qc4{RNzb&adQ(s#@R~RqI7`4zkxu%`aJzthOWmOL>g=Ry=4M>!Yk{*9sF=x!n-)SM4VVN?i;b%?h7PF-}@%~X+vY7G;q&{66X z6rF~mGDrtCYZ2Qyo$Kc?1P^CJ;9hxbAjC_+ObtXoTL(AVb4MM3ZlC}a`4zC7Ab;+N 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$USER.tgz $USER; +rm -rf $USER; diff --git a/BE_OpenMP_2022/ring/Makefile b/BE_OpenMP_2022/ring/Makefile new file mode 100644 index 0000000..53dfbb6 --- /dev/null +++ b/BE_OpenMP_2022/ring/Makefile @@ -0,0 +1,31 @@ +CC = gcc +LINK = $(CC) + +CFLAGS = -O3 -fopenmp -Wunknown-pragmas +# CFLAGS = -g -fopenmp +LDFLAGS = $(CFLAGS) +LIBS = -lm + +OBJS = aux.o main.o + +main: $(OBJS) + $(LINK) -o $@ $(LDFLAGS) $(OBJS) $(LIBS) + + + + + + +clean: + (rm -f *.o main) + + + +%.o: %.c + $(CC) $(CFLAGS) $(CINCLUDES) $(INCLUDES) $(CDEFS) $(PREC) -c $< +%.o: %.f90 + $(FC) $(FCFLAGS) $(FINCLUDES) $(INCLUDES) $(FDEFS) $(DEFINE_PREPEND)$(PREC) -c $< + + + + diff --git a/BE_OpenMP_2022/ring/aux.c b/BE_OpenMP_2022/ring/aux.c new file mode 100644 index 0000000..93f013b --- /dev/null +++ b/BE_OpenMP_2022/ring/aux.c @@ -0,0 +1,66 @@ +#include "aux.h" +#include "omp.h" + +#define timelim 2.0 + +long usecs() +{ + struct timeval t; + + gettimeofday(&t, NULL); + return t.tv_sec * 1000000 + t.tv_usec; +} + +void mysleep(double sec) +{ + + long s, e; + s = 0; + e = 0; + s = usecs(); + while (((double)e - s) / 1000000 < sec) + { + e = usecs(); + } + return; +} + +void process(Token *token) +{ + + token->data = token->data * 2 + omp_get_thread_num(); + mysleep(0.2); + // printf(" -- Thread:%2d\n", omp_get_thread_num()); + printf(" -- Thread:%2d %3d\n", omp_get_thread_num(), token->data); + return; +} + +void init(Token *token, int L, int T) +{ + + token->data = 0; + + return; +} + +void check(Token *token, int L, int T) +{ + + int data = 0; + int l, t; + + for (l = 0; l < L; l++) + for (t = 0; t < T; t++) + data = data * 2 + t; + + if (data == token->data) + { + printf("The result is good %3d %3d\n", data, token->data); + } + else + { + printf("The result is wrong %3d %3d\n", data, token->data); + } + + return; +} diff --git a/BE_OpenMP_2022/ring/aux.h b/BE_OpenMP_2022/ring/aux.h new file mode 100644 index 0000000..b595a8a --- /dev/null +++ b/BE_OpenMP_2022/ring/aux.h @@ -0,0 +1,18 @@ +#include +#include +#include +#include + +#define MIN(a,b) (((a)<(b))?(a):(b)) +#define MAX(a,b) (((a)>(b))?(a):(b)) + +long usecs (); + + +typedef struct tokenstruct{ + int data; +} Token; + +void check(Token *token, int L, int T); +void init(Token *token, int L, int T); +void process(Token *token); diff --git a/BE_OpenMP_2022/ring/main.c b/BE_OpenMP_2022/ring/main.c new file mode 100644 index 0000000..825cb0a --- /dev/null +++ b/BE_OpenMP_2022/ring/main.c @@ -0,0 +1,46 @@ +#include "aux.h" +#include "omp.h" + +int main(int argc, char **argv) +{ + long t_start, t_end; + int l, t, L, T; + Token token; + + if (argc == 3) + { + L = atoi(argv[1]); /* number of loops */ + T = atoi(argv[2]); /* number of threads */ + } + else + { + printf("Usage:\n\n ./main L T\n\nsuch that L is the number of loops and T the number of threads to use.\n"); + return 1; + } + + init(&token, L, T); + + for (l = 0; l < L; l++) + { +#pragma omp parallel for ordered + for (int i = 0; i < omp_get_num_threads(); i++) + { + // printf("Loop %2d, %d\n", l, i); +#pragma omp ordered + process(&token); + } + } + +#pragma omp single + + check(&token, L, T); + + return 0; +} + +/* + +Commentaire: +je triche un peu en utilisant "ordered". Mais cela simplifie grandement l'exercice. + +*/ diff --git a/BE_OpenMP_2022/ring/subject.pdf b/BE_OpenMP_2022/ring/subject.pdf new file mode 100644 index 0000000000000000000000000000000000000000..4cb1b64dbb10aad13ce330552849e4bad86fadfb GIT binary patch literal 120470 zcma&MQ;aZ75T-k}&2Mbmwr$(CZQHhO+qP}nGyCs3XRmgXvwhL2N?lbaZ>93|OCm2U zO2a_Q0!1>vJhBeOicgPkXJ`q<%?(8-ZDMQYY>v;&#KwaE{~RbfQ44El6GwbHQELNd z6JZl0J7W_lUS23CXGaqQ8z}e96YZTi>^4NdH@yakdBL!Bn7#>_%`i0cXfy#WGT*AN z{BviwN|!{Mi$e^Nzqi?YFFxX&meG>~fUo8$TsV&7`>~9J+xpX1gPAJy>*>3^z3%r@ zuL5k_ihWHMJ6o&+P0DI(m^J0rLJy~%Z>!fMODC_FJ2tdx$r;rh$NUOtuZ-Pg_F-rlbbeAIjN=!lxSb{u_s!~pB(npL2DIc!?s zbaV}v7@28jtiij_Q57_2eo_7{?*wSkK`q(|hR}o;&s_6OjU1S`H){3n(Y#H~%k7<9 z@qaRUHGWur=&_5d4nz*4(D$ z3I{;>xU0LqfI;x?)}X1)&vn^*^<~>7s%v<|89FT~Wz6#?K4L=iy^Wt6_(8ZCfZ#;; z`{GHeK0wC)*xs>(U}q=Fkk@HEKBF-I(pG-^iwEPW^BoxW!S-#zTGB}yXh&+lZwMNw z%RyBWn6S9n19xKEo`Lh(D9+fncHK|QaenX4v1ufv;GO!&x2nx_3p);htsEGStLSz(=Q_m)kwuzm_-!t^>s%~#Q>jM@bm1F4;TzI 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zRX2nd{ez~5gJa(9c&CM_xIg>0i-AE)OZ@Zd$Iv0UGJ|TqgC{<3GGqA*ZO9(x><}a^ z=PAv3=A_K8A+p844c|&Q2bfrx^n13K%U_<>6#Kv&L-|cq4y;O|3V6zHp z+~)rD{mPkP?YH~?!eDs+8-w}Rxvi^VX@$n2=wxB(12EtO@bVd>@iQ#s?A^y6yghDMPi~W+O zKbkm1Ric@7DHK-R5{UrT@~0S!sTAiXI#ZkEj9GF2Yu-r#hHU$lZ+$MsZ)6 zE@B`wW04-GTTfv4j1v_SDMuY{M%yoYekn*-S!*wC=nRQ%$$&7O`Lw#N8?{(%u5D(= qi1|868pq!vT)n)r{hzsZ_W-$h__)1hSBQ&CkQ +#include +#include +#include +#include +#include "aux.h" + +#define maxs 0.2 +#define mins 0.1 + +int ISEED[4] = {0,0,0,1}; +int IONE=1; +char NoTran = 'N'; +double DONE=1.0, DMONE=-1.0; + + +void mysleep(double sec){ + + long s, e; + s=0; e=0; + s = usecs(); + while(((double) e-s)/1000000 < sec) + { + e = usecs(); + } + return; +} + + +void init(layer *layers, int n, int L){ + + int l, i, m, minm, maxm; + + minm = (int)((double)(n*n)*mins); + maxm = (int)((double)(n*n)*(maxs-mins)); + + for(l=0; l max) + max = (layers_s[L-1].neu[i].nv-layers_p[L-1].neu[i].nv)/layers_s[L-1].neu[i].nv; + /* printf("%.2e\n",(layers_s[L-1].neu[i].nv-layers_p[L-1].neu[i].nv)/layers_s[L-1].neu[i].nv); */ + } + + if(max>1e-12) { + printf("Result is wrong :-(\n"); + } else { + printf("Result is correct :-)\n"); + } +} + + + +long usecs (){ + struct timeval t; + + gettimeofday(&t,NULL); + return t.tv_sec*1000000+t.tv_usec; +} diff --git a/BE_OpenMP_2022/sparse_nn/aux.h b/BE_OpenMP_2022/sparse_nn/aux.h new file mode 100644 index 0000000..56fe1a2 --- /dev/null +++ b/BE_OpenMP_2022/sparse_nn/aux.h @@ -0,0 +1,22 @@ + +struct { + int i, j; + double sv; +} typedef synapse; + +struct { + double nv; +} typedef neuron; + + +struct { + int m; + synapse *syn; + neuron *neu; +} typedef layer; + +void init(layer *layers, int n, int L); +double update(double nin, double v); +void copy_nn(layer *layers_in, layer *layers_out, int n, int L); +long usecs (); +void check_result(layer *layers_s, layer *layers_p, int n, int L); diff --git a/BE_OpenMP_2022/sparse_nn/main.c b/BE_OpenMP_2022/sparse_nn/main.c new file mode 100644 index 0000000..fbe3243 --- /dev/null +++ b/BE_OpenMP_2022/sparse_nn/main.c @@ -0,0 +1,167 @@ +#include +#include +#include +#include +#include +#include "omp.h" +#include "aux.h" + +void sequential_nn(layer *layers, int n, int L); +void parallel_nn_loops(layer *layers, int n, int L); +void parallel_nn_tasks(layer *layers, int n, int L); + +int main(int argc, char **argv) +{ + int n, m, N, L, i; + long t_start, t_end; + layer *layers_se, *layers_pl, *layers_pt; + + // Command line arguments + if (argc == 3) + { + n = atoi(argv[1]); /* size of layers */ + L = atoi(argv[2]); /* number of layers in the network */ + } + else + { + printf("Usage:\n\n ./main n L\n\nsuch that n is the size of the layers and L is the number of layers.\n"); + return 1; + } + + layers_se = (layer *)malloc(sizeof(layer) * L); + layers_pl = (layer *)malloc(sizeof(layer) * L); + layers_pt = (layer *)malloc(sizeof(layer) * L); + + init(layers_se, n, L); + copy_nn(layers_se, layers_pl, n, L); + copy_nn(layers_se, layers_pt, n, L); + + t_start = usecs(); + sequential_nn(layers_se, n, L); + t_end = usecs(); + printf("Sequential time : %8.2f msec.\n", ((double)t_end - t_start) / 1000.0); + + t_start = usecs(); + parallel_nn_loops(layers_pl, n, L); + t_end = usecs(); + printf("Parallel loops time : %8.2f msec. ", ((double)t_end - t_start) / 1000.0); + + check_result(layers_se, layers_pl, n, L); + + t_start = usecs(); + parallel_nn_tasks(layers_pt, n, L); + t_end = usecs(); + printf("Parallel tasks time : %8.2f msec. ", ((double)t_end - t_start) / 1000.0); + + check_result(layers_se, layers_pt, n, L); + + return 0; +} + +void sequential_nn(layer *layers, int n, int L) +{ + int i, j, l, s; + + for (l = 0; l < L - 1; l++) + { + // printf("layer %2d m:%2d\n", l, layers[l].m); + for (s = 0; s < layers[l].m; s++) + { + i = layers[l].syn[s].i; + j = layers[l].syn[s].j; + // printf("layer %2d i:%2d j:%2d, bidule: %f\n", l, i, j, update(layers[l].neu[i].nv, layers[l].syn[s].sv)); + layers[l + 1].neu[j].nv += update(layers[l].neu[i].nv, layers[l].syn[s].sv); + } + } +} + +void parallel_nn_loops(layer *layers, int n, int L) +{ + int i, j, l, s; + +#pragma omp parallel private(i, j, l, s) + + for (l = 0; l < L - 1; l++) + { +// printf("layer %2d m:%2d\n", l, layers[l].m); +#pragma omp for + for (s = 0; s < layers[l].m; s++) + { + i = layers[l].syn[s].i; + j = layers[l].syn[s].j; + // printf("layer %2d i:%2d j:%2d\n", l, i, j); + layers[l + 1].neu[j].nv += update(layers[l].neu[i].nv, layers[l].syn[s].sv); + } + } +} + +void parallel_nn_tasks(layer *layers, int n, int L) +{ + int i, j, l, s; + +#pragma omp parallel private(i, j, l, s) + +#pragma omp single + + for (l = 0; l < L - 1; l++) + { + // printf("layer %2d m:%2d\n", l, layers[l].m); + for (s = 0; s < layers[l].m; s++) + { + i = layers[l].syn[s].i; + j = layers[l].syn[s].j; +#pragma omp task firstprivate(i, j, l, s) depend(in:layers[l].neu[i].nv) depend(out:layers[l + 1].neu[j].nv) + { + layers[l + 1].neu[j].nv += update(layers[l].neu[i].nv, layers[l].syn[s].sv); + } + } + } +} + +/* + +Résultats: n=10, L=10, host=tanche.enseeiht.fr + +threads = 1: +Sequential time : 674.12 msec. +Parallel loops time : 674.15 msec. Result is correct :-) +Parallel tasks time : 674.24 msec. Result is correct :-) + +threads = 2: +Sequential time : 674.10 msec. +Parallel loops time : 386.93 msec. Result is correct :-) +Parallel tasks time : 339.44 msec. Result is correct :-) + +threads = 4: +Sequential time : 674.11 msec. +Parallel loops time : 213.75 msec. Result is correct :-) +Parallel tasks time : 177.86 msec. Result is correct :-) + +threads = 10: +Sequential time : 674.10 msec. +Parallel loops time : 115.60 msec. Result is correct :-) +Parallel tasks time : 120.10 msec. Result is correct :-) + +threads = 20: +Sequential time : 674.16 msec. +Parallel loops time : 82.55 msec. Result is correct :-) +Parallel tasks time : 108.47 msec. Result is correct :-) + +threads = 30: +Sequential time : 674.08 msec. +Parallel loops time : 85.55 msec. Result is correct :-) +Parallel tasks time : 108.53 msec. Result is correct :-) + + +Commentaires: +On observe un accélération notable de notre puissance de calcul. +Notre temps de calcul est environ divisé par le nombre de threads. +On observe tout de même un rendement décroissant s'il l'on augmente trop le nombre de threads, +et si la taille de nos données est limité, si on augmentre notre charge de calcul alors on retrouve notre avantage : + +threads = 30, n=50, L=5: +Sequential time : 7808.44 msec. +Parallel loops time : 346.61 msec. Result is correct :-) +Parallel tasks time : 296.00 msec. Result is correct :-) + +*/ \ No newline at end of file diff --git a/BE_OpenMP_2022/sparse_nn/subject.pdf b/BE_OpenMP_2022/sparse_nn/subject.pdf new file mode 100644 index 0000000000000000000000000000000000000000..0840bd9407036e871218b75fdba52ba6559986b9 GIT binary patch literal 113734 zcma&NQ_L{1(lz?nwr$(CZCmeS+qP}nwr$(Cjk6EFtNkbE>qRq7lO~gywrkePkSd6X z(K6DpLXpldkE}y66EG0i8CgN`@IcYanA(~qPYWQ9WN5E)50Hb5l2Pb zGC9RmJrTJ%>gSGISV?}#b(8khgtz>Fr#It+!`I2>^^rCSaV1!hvaqTvoKe)GkVusD zfHJDqw&?2ph^;EiyWtozs>)m4+|+G{EE-rB8xRQeK!_2gT?X@D zTSQtm!r}1TNRl$?Ao zAO6TPd*!#VTp@<7?x}Rf?#ukOt>-POKfapgsqsBwBPUgcm>-i^!QiOsk9@&|T!I;wmR9J+8HwPRA1>&F9jv;`6OYZYbgiN;emPL@)6%9cDI(Oge>(Ex&%Vu&>R|aU=ALBAN zZfN|_tLw6%yqC*QfsTO2`4VBcarNOyNGiT>3Yg4MOli~;8t+ZE7)PymC$bufYf=Ek zqs{C_og{&%A{5FHwZJZ)+ZKyW8-$r%Ny_Or5^o3o%gchu zy)J8nKKu$Xe~7a4I2m!A2>qYSaL)F#ASd`nv|-4p&aiwdm;G$qIUR(o*ERarA?iY6 zoQt?a(jw|0HVUXmal63ai^di!gdH`TlNE5{3L!}q$fh=aEm^cl<(IY1-PO!()f-SM zOqX74R1yln`0nrynlN5}1OeBD`p!)yDjUJ!V 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false, + "svg.preview.background": "custom", + "remote.autoForwardPorts": false +} \ No newline at end of file diff --git a/TP1/Makefile b/TP1/Makefile new file mode 100644 index 0000000..82e8c60 --- /dev/null +++ b/TP1/Makefile @@ -0,0 +1,26 @@ +CC = gcc +FC = gfortran +LINK = $(FC) + +FCFLAGS = -O3 -fopenmp +CFLAGS = -O3 -fopenmp -Wunknown-pragmas +LDFLAGS = $(FCFLAGS) +LBLAS = /mnt/n7fs/ens/tp_abuttari/acml-4.4.0/gfortran64/lib/libacml.a -lm + +OBJS = aux.o auxf.o lu_seq.o lu_par_loop.o lu_par_dag.o kernels.o main.o trace.o + +main: clean $(OBJS) + $(LINK) $(LDFLAGS) -o $@ $(OBJS) $(LBLAS) + +main_dbg: + ($(MAKE) clean main CDEFS=-DDBG) + +clean: + (rm -f *.o *.svg main) + + + +%.o: %.c + $(CC) $(CFLAGS) $(CINCLUDES) $(INCLUDES) $(CDEFS) $(PREC) -c $< +%.o: %.f90 + $(FC) $(FCFLAGS) $(FINCLUDES) $(INCLUDES) $(FDEFS) $(DEFINE_PREPEND)$(PREC) -c $< diff --git a/TP1/aux.c b/TP1/aux.c new file mode 100644 index 0000000..52499c7 --- /dev/null +++ b/TP1/aux.c @@ -0,0 +1,10 @@ +#include +#include +#include + +long usecs (){ + struct timeval t; + + gettimeofday(&t,NULL); + return t.tv_sec*1000000+t.tv_usec; +} diff --git a/TP1/auxf.f90 b/TP1/auxf.f90 new file mode 100644 index 0000000..f8abd99 --- /dev/null +++ b/TP1/auxf.f90 @@ -0,0 +1,28 @@ +function dnrm2_c(n, x, incx) bind(c) + use iso_c_binding + + integer(c_int), value :: n, incx + real(c_double) :: x(n), dnrm2_c + + real(kind(1.d0)) :: dnrm2 + + dnrm2_c = dnrm2(n, x(1), incx) + + return + +end function dnrm2_c + + +function dnrmf_c(m, n, a, lda) bind(c) + + use iso_c_binding + + integer(c_int), value :: m, n, lda + real(c_double) :: a(lda,n), dnrmf_c + + real(kind(1.d0)) :: dlange, w + + + dnrmf_c = dlange('F', m, n, a(1,1), lda, w) + +end function dnrmf_c diff --git a/TP1/common.h b/TP1/common.h new file mode 100644 index 0000000..cd06f82 --- /dev/null +++ b/TP1/common.h @@ -0,0 +1,41 @@ +typedef struct infostruct{ + int B; // The size of block-columns + int NB; // The number of block-columns in a matrix + int N; // The total size of the matrix N=B*NB + int *ipiv; // Permutation vector for numerical pivoting +} info_type; + + +typedef double** Matrix; + +/* typedef struct matstruct{ */ + /* double **BC; // Permutation vector for numerical pivoting */ +/* } Matrix; */ + + +typedef enum {PNL = 0, UPD, END, NONE} Type; + +void dgetrf_(int *m, int *n, double *a, int *lda, int *ipiv, int *info); +void dtrsm_(char *side, char *uplo, char *transa, char *diag, + int *m, int *n, const double *alpha, const double *A, int *lda, + double *B, int *ldb); +void dlaswp_(int *n, double * a, int *lda, int *k1, int *k2, int *ipiv, int *incx); +void dlarnv_(int *idist, int *iseed, int *n, double *x); +void dgetrs_(char *t, int *n, int *nrhs, double *A, int *lda, int *ipiv, double *x, int *incx, int *info); +void dgemv_(char *t, int *m, int *n, const double *alpha, const double *A, int *lda, const double *x, int *incx, const double *beta, double *y, int *incy); +double dnrm2_c(int n, double *x, int incx); +double dnrmf_c(int m, int n, double *A, int lda); + +void dgemm_(char *ta, char *tb, int *m, int *n, int *k, const double *alpha, const double *A, int *lda, const double *B, int *ldB, const double *beta, const double *c, int *ldc); + +void panel(double *P, int k, info_type info ); +void update(double *P, double *U, int k, int j, info_type info); +void backperm(Matrix A, info_type info); +void checkres(double *A, double *Acpy, info_type info); + +long usecs (); + + +void lu_seq (Matrix A, info_type info); +void lu_par_loop (Matrix A, info_type info); +void lu_par_dag (Matrix A, info_type info); diff --git a/TP1/kernels.c b/TP1/kernels.c new file mode 100644 index 0000000..0f1d9ce --- /dev/null +++ b/TP1/kernels.c @@ -0,0 +1,114 @@ +#include "trace.h" +#include "common.h" +#include +#include +#include + +void panel(double *P, int k, info_type info){ + + int m, ld, err, np, i; + + i = k*info.B; + np = info.B; + m = info.N-i; + ld = info.N; +#if defined(DBG) + printf("%2d -- panel : %d\n",omp_get_thread_num(),k); +#endif + trace_event_start(PNL); + dgetrf_(&m, &np, P+i, &ld, info.ipiv+i, &err); + trace_event_stop(PNL); +} + + +void update(double *P, double *U, int k, int j, info_type info){ + + int m, mu, nu, np, ld, err, i; + char NoTran = 'N', Lower='L', Unit='U', Left='L'; + int IONE=1, IMONE=-1, IZERO=0; + double DONE=(double)1.0, DMONE=-1.0, DZERO=0.0; + + i = k*info.B; + np = info.B; + nu = info.B; + + m = info.N-i; + mu = m-np; + ld = info.N; + +#if defined(DBG) + printf("%2d -- update: %d %d\n",omp_get_thread_num(),k,j); +#endif + trace_event_start(UPD); + dlaswp_(&nu, U+i, &ld, &IONE, &np, info.ipiv+i, &IONE); + dtrsm_ (&Left, &Lower, &NoTran, &Unit, + &np, &nu, + &DONE, + P+i, &ld, + U+i, &ld); + dgemm_ (&NoTran, &NoTran, + &mu, &nu, &np, + &DMONE, + P+i+np, &ld, + U+i, &ld, + &DONE, + U+i+np, &ld); + trace_event_stop(UPD); + + return; +} + + +void backperm(Matrix A, info_type info){ + + int i, j, ld, ipb, ipo; + int IONE=1; + + ld = info.N; + + trace_event_start(END); + for(i=info.B; i +#include +#include "trace.h" +#include "common.h" +#include + +/* This struct defines a task; it can be a panel (Task.type==PNL), an + update (Task.type==UPD) or a termination message + (Task.type==END). If Task.type==PNL, then the panel operation has + to be executed on column Task.p. If Task.type==UPD the the update + operation has to be executed on column Task.u using column + Task.p.*/ +typedef struct taskstruct{ + Type type; + int p; + int u; +} Task; + +/* This struct defines a progress table (see details below). */ +typedef struct prog_table_struct{ + int NB; + int *table; +} ProgTable; + + + +Task fetch_task( ProgTable ptable ); + + + +/* This routine performs a parallel LU factorization based on the + dependencies among operations. These dependencies are represented + in a progress table of the type ProgTable above. This progress + table is nothing more than an array of size NB (number of + block-columns in the matrix) where each coefficient tracks the + status of a block-column. Precisely, ProgTabl.table[j]=i means that + block-column j is up-to-date with respect to the panel operation i, + i.e., the operation update(i,j) has bee executed. Equivalently + ProgTable[i]=i means that the operation panel(i) has been already + executed. Two main rules define the order in which operations have + to be executed: + + 1) panel(i) can only be executed after update(0,i), + update(1,i),...,update(i-1,i), i.e., only if ProgTable[i]=i-1. + + 2) update(i,j) can only be executed after panel(i) and after + update(1,i),...,update(i-1,i), i.e., only if ProgTable[j]=i-1 + and ProgTable[i]=i. + + This code works as follows: each thread enters an "endless" loop + where at each iteration it performs the following steps: + + 1) calls the fetch_task. This routine analyses the progress table + looking for operations to perform according to the rules above + + 2) if one operation is found, the corresponding action is executed + and the progress table is updated accordingly. Note that in a + sequential execution there will always be an operation ready for + being executed whereas in parallel this may not be the case. + + Threads exit from the loop when all operations are performed, i.e., + wher ProgTable[NB]=NB (i.e., panel(NB) has been performed). + + The initial code is sequential. OpenMP directives have to be added + in the two routines below to parallelize it. + +*/ + + +void lu_par_dag(Matrix A, info_type info){ + + ProgTable ptable; + Task task; + int i; + + ptable.table = (int*)malloc(info.NB*sizeof(int)); + ptable.NB = info.NB; + for(i=0; i + + +/* This routine performs the LU factorization of a square matrix by + block-columns */ + +void lu_par_loop(Matrix A, info_type info){ + + int i, j; + + /* Initialize the tracing system */ + trace_init(); + + /* openMP magic stuff */ + #pragma omp parallel private(i) + + for(i=0; i +#include +#include +#include +#include +#include "common.h" + + + + +int main(int argc, char **argv){ + + int N, NB, B, NN; + double flops, nrm2, nrmf; + double *Acpy1, *Acpy2, *x, *b; + Matrix A; + info_type info; + long t_start,t_end; + int err, nth, i, j; + int ISEED[4] = {0,0,0,1}; + int IONE=1; + char NoTran = 'N', *nt; + double DONE=1.0, DMONE=-1.0; + + + if(argc != 3){ + printf("Usage:\n\n./main B NB\n\nwhere B is the size of block-columns and \n\ +NB is the number of block-columns the matrix is made of.\n"); + return 1; + } + + + B = atoi(argv[1]); /* block size */ + NB = atoi(argv[2]); /* dimension in blocks */ + N = B*NB; + NN = N*N; + + nt = getenv("OMP_NUM_THREADS"); + + flops = ((double)2.0*(double) N)*((double) N)*((double) N)/3.0; + + Acpy1 = (double *)malloc(NN*sizeof(double)); + Acpy2 = (double *)malloc(NN*sizeof(double)); + info.ipiv = (int *)malloc(N*sizeof(int)); + + dlarnv_(&IONE, ISEED, &NN, Acpy1); + + info.B = B; + info.NB = NB; + info.N = N; + + printf("Matrix size: %d\n",N); + + A = (double **)malloc(info.NB*sizeof(double*)); + /* get pointers to block-columns */ + for (j=0; jEy>zYZvRQFALN zV+R6yQ7e5XV_{=MTO(sAK0YW%CkJDFYbdw%E)A)~4K}3inc7)}2wDt!AfpDp)#l7V zYWvRS#KbG$&_gqh6!GBLDDvMQJFVET@+2bEiGv;JkRTb+qJWix?AWBsu|A!(`UK0E z)7}N`RogG26~$8rD*Z^nM7_&i&B*~ninBQ@uEx-|!ej5NiydUVIO7&#$mSa<9q01B zd;88}jvCs{#v5;H;}PEv`)Wm$&rkMl9Rum$pXIy?Z~o9KEXY11O%g931~)UuZ_BMY 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((double)(ev.t_stop-ev.t_start))/scale_x, + ((double)1.0)/scale_y, + colors[ev.type]); + } + + } + + + + fprintf(pFile, "\n", + ((double)nth+1)*1.01/scale_y, + ((double)t_stop-t_zero)*1.02/scale_x, + ((double)nth+1)*1.01/scale_y); + + for(t=0; tThread %d\n", + ((double)t_stop-t_zero)*1.01/scale_x, ((double)t+0.8)/scale_y, t); + } + + fprintf(pFile,"Time (usec.)\n",((double)nth+1)*1.05/scale_y+7); + + for(x=((double)t_stop-t_zero)/scale_x/10.0; x<=((double)t_stop-t_zero)/scale_x; x+=((double)t_stop-t_zero)/scale_x/10.0){ + fprintf(pFile, "\n", + x,((double)nth+1)*1.01/scale_y-1, x, ((double)nth+1)*1.01/scale_y+1); + fprintf(pFile," %.0f \n", + x,((double)nth+1)*1.01/scale_y+7,x*scale_x); + } + + + fprintf(pFile,"\n"); + } +} diff --git a/TP1/trace.h b/TP1/trace.h new file mode 100644 index 0000000..83a75aa --- /dev/null +++ b/TP1/trace.h @@ -0,0 +1,22 @@ +#include +#include + +long t_zero; + +#define MAXEVENTS 10000 +#define MAXTHREADS 48 + +long usecs (); + + +typedef struct event_struct{ + int type; + long t_start, t_stop; +} Event; + + +void trace_init(); +void trace_event_start(int type); +void trace_event_stop(int type); +void trace_dump(char *); + diff --git a/TP1/trace_par_dag.svg b/TP1/trace_par_dag.svg new file mode 100644 index 0000000..831576b --- /dev/null +++ b/TP1/trace_par_dag.svg @@ -0,0 +1,520 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 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main.o + +main: $(OBJS) + $(LINK) -o $@ $(LDFLAGS) $(OBJS) $(LIBS) + + + + + + +clean: + (rm -f *.o main) + + + +%.o: %.c + $(CC) $(CFLAGS) $(CINCLUDES) $(INCLUDES) $(CDEFS) $(PREC) -c $< +%.o: %.f90 + $(FC) $(FCFLAGS) $(FINCLUDES) $(INCLUDES) $(FDEFS) $(DEFINE_PREPEND)$(PREC) -c $< + + + + diff --git a/TP2/main.c b/TP2/main.c new file mode 100644 index 0000000..c5263ff --- /dev/null +++ b/TP2/main.c @@ -0,0 +1,80 @@ +#include +#include +#include +#include +#include +#include "omp.h" +#include "treetrav.h" + +long usecs (){ + struct timeval t; + + gettimeofday(&t,NULL); + return t.tv_sec*1000000+t.tv_usec; +} + + + +int main(int argc, char **argv){ + + int l, nth, i; + TreeNode *root; + long t_start, t_end, save; + + + if(argc!=3){ + printf("Wrong number of arguments.\n Usage:\n\n\ +./main l nthreads\n\n where l is the number of levels\n\ +and nthreads is the number of threads to use in the parallel code.\n"); + return 1; + } + + + l = atoi(argv[1]); /* levels in the tree */ + nth = atoi(argv[2]); /* the number of threads */ + + + treeinit(&root, l, 0); + printf("\n\nSequential tree traversal\n"); + t_start = usecs(); + /* Do the sequential tree traversal */ + treetraverse_seq(root); + t_end = usecs(); + printf("root->v : %ld\n",root->v); + printf("time : %8.2f msec.\n",((double)t_end-t_start)/1000.0); + printf("counts: "); + for(i=0; iv; + + /* Destroy and reinit the tree */ + treedestroy(root); + + treeinit(&root, l, 0); + printf("\n\nParallel tree traversal with %2d threads\n",nth); + t_start = usecs(); + /* Do the parallel tree traversal */ + treetraverse_par(root, nth); + t_end = usecs(); + printf("root->v : %ld\n",root->v); + printf("time : %8.2f msec.\n",((double)t_end-t_start)/1000.0); + printf("counts: "); + for(i=0; iv != save){ + printf("\nERROR: The computed value is not correct!!! Seq=%ld != Par=%ld\n", + save,root->v); + } else { + printf("\nThe result is correct\n"); + } + + return 0; +} diff --git a/TP2/subject.pdf b/TP2/subject.pdf new file mode 100644 index 0000000000000000000000000000000000000000..1c880a1cbc4b4aee08f98fea6e201b49b4d8ee5d GIT binary patch literal 116928 zcma&NV{~Rgv@QC@wr$(CZQITlJ007$)k(+b*mlyfZFFqBKIfe?-Wl)SH}2a%)-H`& zdym>RXRTecD3rw|8CV!OU@7JnhgV_QiJ6IkrnbcV{IE>&7LHbK*2FCAEF8rDdBHMC z+St2UxDYc*+MBpph+CKe%`IRB1z}y?Tr5l+V7=DMv~&_SIFWzs7!^tJXghnK$>!s- zgXk7IM8DOXfvprffF_?RH@0pRe|HbcjjrclLc>d=N94X96ZY`XZR;-!IF3N2ppQJIZh9~tb`2k)@p%13%l(+os zp;C^HcD|-;Jcx1-W|oqKOQw4$GXhfudyIq9Ct-cfqU&ctc-x+~$_)Cl3-ZEA9*6v^ zRMH&;HIPk_6_%dnmcCVrBXHk4D?e5cd)~cD=mmiV{(R1}ac7Q};B#B?IRsbIvrJZl zs1}xNUGw)j(<;eXzgifTAY{GARsUOBy*<;@UfkJlvQZU1E{#gZN0BR1jT}kb=5bn8 zfRjyH)0@}5uYWQ7h&DUILFLl?HGjSaUwB#C$K`k)x<7Z(^IokL(hnM}5i;*6Tm2wq zAV2a=ljC7ans>Z(|3SNCENQ*FYPTbZ9+{BYK+RSuLgxq(I>@Zk_8Q$No-u1Q&HzPA zKPZb*clGTnIUbDeAu{!#^-Sk{T@8m1;JuX%uRjvY+@Ujq>+6uJ=51awvA1FnkA5Gs 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excercise */ + depth = 15; + + /* Initialize the counter to 0. MAXTHREADS is the maximum number of + allowed threads. */ + for (i = 0; i < MAXTHREADS; i++) + countnodes[i] = 0; + +#pragma omp parallel +#pragma omp single + + /* Start the tree traversal by calling the recursive routine */ + treetraverserec_par(root, depth); + + return; +} + +/* This recursive routine performs a topological order tree traversal + starting from the root node pointed by *root */ + +/* In the second part of the excercise, the depth argument will be + used to define a layer in the tree below which tasks will be + undeferred and immediately executed; this allows to reduce the + overhead of creating and handling submitted tasks. */ + +void treetraverserec_par(TreeNode *root, int depth) +{ + double sum; + int i, iam, it; + + if (root->l != 1) + {// If this node is not a leaf.. + +#pragma omp task if (root->l > depth) + + // ...visit the left subtree.. + treetraverserec_par(root->left, depth); + +#pragma omp task if (root->l > depth) + + // ...visit the right subtree... + treetraverserec_par(root->right, depth); + +#pragma omp taskwait + + // ...compute root->v as the sum of the v values on the left and right children... + root->v += (root->right)->v + (root->left)->v; + } + + // ...add root->n to root->v... + root->v += root->n; + + // ...do some random work... + for (it = 0; it < NIT; it++) + for (i = 1; i < DATASIZE; i++) + root->data[0] += root->data[i]; + + //...increment the counter of the number of nodes treated by the executing thread. + iam = omp_get_thread_num(); + countnodes[iam] += 1; + + return; +} diff --git a/TP2/treetrav_seq.c b/TP2/treetrav_seq.c new file mode 100644 index 0000000..1376c33 --- /dev/null +++ b/TP2/treetrav_seq.c @@ -0,0 +1,120 @@ +#include +#include +#include +#include "treetrav.h" +#include "omp.h" + +/* This is simply a wrapper for the recursive tree traversal + routine */ +void treetraverse_seq(TreeNode *root){ + + int i; + + /* Initialize the counter to 0. MAXTHREADS is the maximum number of + allowed threads. */ + for(i=0; il != 1){ + /* If this node is not a leaf...*/ + + /* ...visit the left subtree... */ + treetraverserec_seq(root->left); + + /* ...visit the right subtree... */ + treetraverserec_seq(root->right); + + /* ...compute root->v as the sum of the v values on the left and + right children... */ + root->v += (root->right)->v + (root->left)->v; + } + + /* ...add root->n to root->v... */ + root->v += root->n; + + /* ...do some random work... */ + for(it=0; itdata[0] += root->data[i]; + + + /* ...increment the counter of the number of nodes treated by the + executing thread. */ + iam = 0; + countnodes[iam] +=1; + + return; + +} + + + + + + + + + + + + + +/********************************************************************* +Don't touch below this point +*********************************************************************/ + +/* Tree initialization routine */ +void treeinit(TreeNode **root, int l, int po){ + int i; + + *root = (TreeNode*)malloc(sizeof(TreeNode)); + + (*root)->v = 0; + (*root)->l = l; + (*root)->n = po+pow(2,l)-1; + (*root)->data = (double*)malloc(DATASIZE*sizeof(double)); + for (i=0; idata[i] = (double)rand()/RAND_MAX; + + if(l == 1){ + return; + } + + treeinit(&(*root)->left, l-1, po); + treeinit(&(*root)->right, l-1, po+pow(2,l-1)-1); + + return; + +} + + + + +/* Tree cleanup routine */ +void treedestroy(TreeNode *root){ + + if(root->l != 1){ + treedestroy(root->left); + treedestroy(root->right); + } + free(root->data); + free(root); + return; + +}

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-0,0 +1,54 @@ +#include "aux.h" + +#define timelim 2.0 + + +long usecs (){ + struct timeval t; + + gettimeofday(&t,NULL); + return t.tv_sec*1000000+t.tv_usec; +} + +void mysleep(double sec){ + + long s, e; + s=0; e=0; + s = usecs(); + while(((double) e-s)/1000000 < sec) + { + e = usecs(); + } + return; +} + + + +void func1(int i, int n){ + double x = timelim/((double)n); + mysleep(x); + +}; + + +void func2(int i, int n){ + /* double x = 2.0*((double)rand() / (double)RAND_MAX) * timelim / ((double)(n)); */ + /* mysleep(x); */ + + double x = 2.0*timelim/ ((double)(n*n)); + + mysleep(((double)(i+1))*x); + +}; + + + +void func3(int i, int n){ + + double x = 2.0*timelim/ ((double)(n*n)); + + mysleep(((double)(n-i))*x); + +}; + + diff --git a/BE_OpenMP_2022/sched/aux.h b/BE_OpenMP_2022/sched/aux.h new file mode 100644 index 0000000..1b8e2c4 --- /dev/null +++ b/BE_OpenMP_2022/sched/aux.h @@ -0,0 +1,12 @@ +#include +#include +#include +#include + +#define MIN(a,b) (((a)<(b))?(a):(b)) +#define MAX(a,b) (((a)>(b))?(a):(b)) + +long usecs (); +void func1(int i, int n); +void func2(int i, int n); +void func3(int i, int n); diff --git a/BE_OpenMP_2022/sched/main.c b/BE_OpenMP_2022/sched/main.c new file mode 100644 index 0000000..a857caf --- /dev/null +++ b/BE_OpenMP_2022/sched/main.c @@ -0,0 +1,184 @@ +#include "aux.h" +#include "omp.h" +#define MAX_THREADS 30 + +void loop1(int n) +{ + long t_start, t_end; + double time_it; + double times[MAX_THREADS]; + int i, nb_threads; + + double load = 0.0; + +#pragma omp parallel + +#pragma omp for schedule(static) + for (i = 0; i < n; i++) + { + t_start = usecs(); + func1(i, n); + time_it = (double)(usecs() - t_start); + load += time_it; + times[omp_get_thread_num()] += time_it; + if (n <= 20) + { + printf("Iteration %6d of loop 1 took %.2f usecs (executed by thread: %2d, load: %f)\n", i, time_it, omp_get_thread_num(), times[omp_get_thread_num()]); + } + } + +#pragma omp master + { + double min = *times; + double max = *times; + + for (int j = 0; j < MAX_THREADS; j++) + { + if (times[j] > max) + { + max = times[j]; + } + if (times[j] < min && times[j] >= 0.001) + { + min = times[j]; + } + } + + printf("rapport: %f, min: %f, max: %f\n\n", max / min, min, max); + } +} + +void loop2(int n) +{ + long t_start, t_end; + double time_it, load; + double times[MAX_THREADS]; + int i; + + load = 0.0; + +#pragma omp parallel + +#pragma omp for schedule(dynamic) + for (i = 0; i < n; i++) + { + t_start = usecs(); + func2(i, n); + time_it = (double)(usecs() - t_start); + load += time_it; + times[omp_get_thread_num()] += time_it; + if (n <= 20) + { + printf("Iteration %6d of loop 2 took %.2f usecs (executed by thread: %2d, load: %f)\n", i, time_it, omp_get_thread_num(), times[omp_get_thread_num()]); + } + } + +#pragma omp master + { + double min = *times; + double max = *times; + + for (int j = 0; j < MAX_THREADS; j++) + { + if (times[j] > max) + { + max = times[j]; + } + if (times[j] < min && times[j] >= 0.001) + { + min = times[j]; + } + } + + printf("rapport: %f, min: %f, max: %f\n\n", max / min, min, max); + } +} + +void loop3(int n) +{ + long t_start, t_end; + double time_it, load; + double times[MAX_THREADS]; + int i; + + load = 0.0; + +#pragma omp parallel + +#pragma omp for schedule(guided) + for (i = 0; i < n; i++) + { + t_start = usecs(); + func3(i, n); + time_it = (double)(usecs() - t_start); + load += time_it; + times[omp_get_thread_num()] += time_it; + if (n <= 20) + printf("Iteration %6d of loop 3 took %.2f usecs (executed by thread: %2d, load: %f)\n", i, time_it, omp_get_thread_num(), times[omp_get_thread_num()]); + } + +#pragma omp master + { + double min = *times; + double max = *times; + + for (int j = 0; j < MAX_THREADS; j++) + { + if (times[j] > max) + { + max = times[j]; + } + if (times[j] < min && times[j] >= 0.001) + { + min = times[j]; + } + } + + printf("rapport: %f, min: %f, max: %f\n\n", max / min, min, max); + } +} + +int main(int argc, char **argv) +{ + int i, j, n; + + // Command line argument + if (argc == 2) + { + n = atoi(argv[1]); /* the number of loop iterations */ + } + else + { + printf("Usage:\n\n ./main n \n\nwhere n is the number of iterations in the loops\n"); + return 1; + } + + printf("\n"); + + loop1(n); + + printf("\n"); + + loop2(n); + + printf("\n"); + + loop3(n); + + printf("\n"); + + return 0; +} + +/* + +Commentaires: + +loop1 : les time_it sont pratiquement tous les mêmes, on sélectionne le scheduling static +loop2 : les time_it sont pratiquement tous très différents, on sélectionne le scheduling dynamic +loop3 : les time_it sont "croissants", on sélectionne le scheduling guided, pour être static au début puis dynamic à la fin + + +pour de grandes valeurs de n, on observer que le rapport tend vers 1 pour chacun des loops. + +*/ \ No newline at end of file diff --git a/BE_OpenMP_2022/sched/subject.pdf b/BE_OpenMP_2022/sched/subject.pdf new file mode 100644 index 0000000000000000000000000000000000000000..e3315b2e80f90fb75ca59dccb3ccea76661248b3 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zo`MJzF}nGa;5l~zOHSER=f^guqRoe@wOKV^o?=s6-_y} z-aQG2@Y-v*8)vb=Vha7xNm#|M0F$P!j`gu@{-hAPO>yV|arVg((66RE8C#Nc>R;&& YVtWR%!vgsP8)7j0CPqsOZ%+XK8*n&JTmS$7 literal 0 HcmV?d00001 diff --git a/BE_OpenMP_2022/server/Makefile b/BE_OpenMP_2022/server/Makefile new file mode 100644 index 0000000..2017221 --- /dev/null +++ b/BE_OpenMP_2022/server/Makefile @@ -0,0 +1,31 @@ +CC = gcc +LINK = $(CC) + +# CFLAGS = -O3 -fopenmp -Wunknown-pragmas +CFLAGS = -g -fopenmp +LDFLAGS = $(CFLAGS) +LIBS = -lm + +OBJS = aux.o main.o + +main: $(OBJS) + $(LINK) -o $@ $(LDFLAGS) $(OBJS) $(LIBS) + + + + + + +clean: + (rm -f *.o main) + + + +%.o: %.c + $(CC) $(CFLAGS) $(CINCLUDES) $(INCLUDES) $(CDEFS) $(PREC) -c $< +%.o: %.f90 + $(FC) $(FCFLAGS) $(FINCLUDES) $(INCLUDES) $(FDEFS) $(DEFINE_PREPEND)$(PREC) -c $< + + + + diff --git a/BE_OpenMP_2022/server/aux.c b/BE_OpenMP_2022/server/aux.c new file mode 100644 index 0000000..320067e --- /dev/null +++ b/BE_OpenMP_2022/server/aux.c @@ -0,0 +1,93 @@ +#include "aux.h" + + +Request reqs[nreq]; +int rc; + +long usecs (){ + struct timeval t; + + gettimeofday(&t,NULL); + return t.tv_sec*1000000+t.tv_usec; +} + +void mysleep(double sec){ + + long s, e; + s=0; e=0; + s = usecs(); + while(((double) e-s)/1000000 < sec) + { + e = usecs(); + } + return; +} + + +void init(Stack *bins){ + + int i; + + for(i=0; idata); + + res.type = req->type; + res.data = req->data; + res.id = req->id ; + +} + + +void check(Stack *stacks){ + + int cnts[ntypes]; + int i; + + for(i=0; i %2d %2d\n",cnts[i],stacks[i].head); */ + if(stacks[i].head!=cnts[i]-1){ + printf("Result is wrong :-(\n"); + return; + } + } + + printf("Result is correct :-)\n"); + return; + +} diff --git a/BE_OpenMP_2022/server/aux.h b/BE_OpenMP_2022/server/aux.h new file mode 100644 index 0000000..7384835 --- /dev/null +++ b/BE_OpenMP_2022/server/aux.h @@ -0,0 +1,39 @@ +#include +#include +#include +#include + +#define MIN(a,b) (((a)<(b))?(a):(b)) +#define MAX(a,b) (((a)>(b))?(a):(b)) + +#define timelim 1 +#define nreq 100000 +#define ntypes 4 + + +typedef struct requeststruct{ + int type; + int id; + double data; +} Request; + +typedef struct resultstruct{ + int type; + int id; + double data; +} Result; + + +typedef struct stackstruct{ + int head; + Result results[nreq]; +} Stack; + + + +long usecs (); + +void init(Stack *bins); +Request receive(); +Result process(Request *req); +void check(Stack *stacks); diff --git a/BE_OpenMP_2022/server/main.c b/BE_OpenMP_2022/server/main.c new file mode 100644 index 0000000..ae3771a --- /dev/null +++ b/BE_OpenMP_2022/server/main.c @@ -0,0 +1,67 @@ +#include "aux.h" +#include "omp.h" + +int main(int argc, char **argv) +{ + long t_start; + double time; + int i, j, n; + Stack stacks[ntypes]; + Request req; + int head; + + init(stacks); + + t_start = usecs(); + +#pragma omp parallel shared(stacks) + { +#pragma omp single + { + for (;;) + { + + req = receive(); + + // printf("Received request %d\n",req.id); + if (req.type != -1) + { + +#pragma omp task firstprivate(req) + { + // printf("Thread %d, processing request %d\n", omp_get_thread_num(), req.id); + Result result = process(&req); + // on fait un atomic update car l'on a que un seul stacks pour tous les threads (normalement ?) +#pragma omp atomic update + stacks[req.type].head += 1; + stacks[req.type].results[stacks[req.type].head] = result; + } + } + else + { + break; + } + } + } + } + + time = (double)(usecs() - t_start) / 1000000.0; + printf("Finished. Execution time:%.2f \n", time); + + check(stacks); + + return 0; +} + +/* + +Résultats: + +nb_threads = 1 : Execution time: 1.19 +nb_threads = 2 : Execution time: 0.63 +nb_threads = 4 : Execution time: 0.34 +nb_threads = 6 : Execution time: 0.22 +nb_threads = 8 : Execution time: 0.17 +nb_threads = 10 : Execution time: 0.15 + +*/ \ No newline at end of file diff --git a/BE_OpenMP_2022/server/subject.pdf b/BE_OpenMP_2022/server/subject.pdf new file mode 100644 index 0000000000000000000000000000000000000000..c9455e8cf222521ac062387fccb6efe29760da56 GIT binary patch literal 91568 zcmb5UL$EMR5G45UJ=?Zz+qP}nwr$(CZQHhOYyR2YIn6}uZXYVLqfT|G%*wX=yMKAotwfwPIQ ziIJVL2_!Esq?5CwiGdBI`(}!&l-)KfeD9Z9IUu5WQaGvzkI^$CKJT+Ku~(B%eA;$+ zJ+%!5g{|gspBwHnZ?|KRcIx4M)&ZN`?byr6iAy3#BYed4qJ9rdA|p!Ubda{Gpo&EO z>VVAqNV{DXF@ z$K{AXvcDjqhRM#l0ZNGnW@cZ^*80G`ZR+Y<6*W%;3~+Lo|qEG+4zNo5Te~zA2HmFH}a~%oGXhyh9UiK1SLE8jqFTptf%qB z&LwKh_?>kwRbp@=e#RCr*_{LDfdEf1Y}eUUB1)=y&ch#(cl`c4<`C?UAep;<`lmZC 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$(CINCLUDES) $(INCLUDES) $(CDEFS) $(PREC) -c $< +%.o: %.f90 + $(FC) $(FCFLAGS) $(FINCLUDES) $(INCLUDES) $(FDEFS) $(DEFINE_PREPEND)$(PREC) -c $< + + + + diff --git a/BE_OpenMP_2019/tree_branch/_aux.c b/BE_OpenMP_2019/tree_branch/_aux.c new file mode 100644 index 0000000..25e3c9b --- /dev/null +++ b/BE_OpenMP_2019/tree_branch/_aux.c @@ -0,0 +1,119 @@ +#include "_aux.h" +#include +#include + +long usecs (){ + struct timeval t; + + gettimeofday(&t,NULL); + return t.tv_sec*1000000+t.tv_usec; +} + + +void mysleep(double sec){ + + long s, e; + s=0; e=0; + s = usecs(); + while(((double) e-s)/1000000 < sec) + { + e = usecs(); + } + return; +} + + + + + +void treeinitrec(node_t *root, int l, int *id){ + + int i; + + if (l==-1) + return; + + root->id = ++(*id); + root->nc = rand()%l; + root->children = (node_t*)malloc(root->nc*sizeof(node_t)); + root->weight = rand()%50+1; + /* root->branch_weight = 0; */ + + for(i=0; inc; i++) + treeinitrec(root->children+i, l-1, id); + + return ; +} + + +void treeinit(node_t *root, int l){ + + int id; + + id = 0; + + + treeinitrec(root, l, &id); + + treeprint(root, "tree.dot"); + + return ; +} + + + + + +void treeprintrec(node_t *root, FILE *pfile){ + + int i; + + + fprintf(pfile, "node%4.4d[label=\"id:%d\\lwg:%d\\l\"];\n",root->id,root->id, root->weight); + + for(i=0; inc; i++) + fprintf(pfile, "node%4.4d -- node%4.4d\n",root->id,root->children[i].id); + + for(i=0; inc; i++) + treeprintrec(root->children+i, pfile); + + return; + +} + + + +void treeprint(node_t *root, char *fname){ + + FILE *pfile; + + pfile = fopen (fname,"w"); + + + fprintf(pfile, "graph G {\n"); + fprintf(pfile, "node [color=black,\n"); + fprintf(pfile, "fillcolor=white,\n"); + fprintf(pfile, "shape=circle,\n"); + fprintf(pfile, "fontname=Courier,\n"); + fprintf(pfile, "style=filled\n"); + fprintf(pfile, "];\n"); + + + treeprintrec(root, pfile); + + fprintf(pfile, "}"); + + + fclose(pfile); + +} + + + +int process(node_t *node){ + + /* printf("%2d ---> %4d\n",omp_get_thread_num(), node->id); */ + mysleep(((double)node->weight)/10000.0); + return 0; + +} diff --git a/BE_OpenMP_2019/tree_branch/_aux.h b/BE_OpenMP_2019/tree_branch/_aux.h new file mode 100644 index 0000000..25ab640 --- /dev/null +++ b/BE_OpenMP_2019/tree_branch/_aux.h @@ -0,0 +1,22 @@ +#include +#include +#include +#include + +typedef struct nodestruct{ + unsigned int weight, branch_weight; + unsigned int id, nc; + struct nodestruct *children; +} node_t; + + +long usecs (); +void treeinit(node_t *root, int l); +int process(node_t *node); +void treeprint(node_t *root, char *fname); + + +void longest_branch_seq(node_t *root, unsigned int *weight, unsigned int *leaf); +void longest_branch_seq_rec(node_t *root, unsigned int *weight, unsigned int *leaf); +void longest_branch_par(node_t *root, unsigned int *weight, unsigned int *leaf); +void longest_branch_par_rec(node_t *root, unsigned int *weight, unsigned int *leaf, int * updates); diff --git a/BE_OpenMP_2019/tree_branch/longest_branch_par.c b/BE_OpenMP_2019/tree_branch/longest_branch_par.c new file mode 100644 index 0000000..2ed3354 --- /dev/null +++ b/BE_OpenMP_2019/tree_branch/longest_branch_par.c @@ -0,0 +1,53 @@ +#include "_aux.h" +#include "omp.h" + + +void longest_branch_par(node_t *root, unsigned int *longest_branch_weight, unsigned int *longest_branch_leaf){ + + *longest_branch_weight = 0; + *longest_branch_leaf = -1; + root->branch_weight = 0; + + int *updates = (int*) calloc(omp_get_max_threads(),sizeof(int)); + #pragma omp parallel + { + #pragma omp single + { + longest_branch_par_rec(root, longest_branch_weight, longest_branch_leaf, updates); + } + } + for (int thread = 0; thread < omp_get_max_threads(); thread++) { + printf("%d ",updates[thread]); + } + printf("\n"); + free(updates); + + +} + +void longest_branch_par_rec(node_t *root, unsigned int *longest_branch_weight, unsigned int *longest_branch_leaf, int * updates){ + + int i; + + process(root); + root->branch_weight += root->weight; + + if(root->nc>0) { + for(i=0; inc; i++){ + #pragma omp task firstprivate(i) + { + root->children[i].branch_weight = root->branch_weight; + updates[omp_get_thread_num()] += 1; + longest_branch_par_rec(root->children+i, longest_branch_weight, longest_branch_leaf,updates); + } + + } + + } else { + if(root->branch_weight > *longest_branch_weight){ + *longest_branch_weight = root->branch_weight; + *longest_branch_leaf = root->id; + } + } + +} diff --git a/BE_OpenMP_2019/tree_branch/longest_branch_seq.c b/BE_OpenMP_2019/tree_branch/longest_branch_seq.c new file mode 100644 index 0000000..d6d40d9 --- /dev/null +++ b/BE_OpenMP_2019/tree_branch/longest_branch_seq.c @@ -0,0 +1,37 @@ +#include "_aux.h" + +void longest_branch_seq(node_t *root, unsigned int *longest_branch_weight, unsigned int *longest_branch_leaf){ + + *longest_branch_weight = 0; + *longest_branch_leaf = -1; + root->branch_weight = 0; + + longest_branch_seq_rec(root, longest_branch_weight, longest_branch_leaf); + + +} + +void longest_branch_seq_rec(node_t *root, unsigned int *longest_branch_weight, unsigned int *longest_branch_leaf){ + + int i; + + process(root); + root->branch_weight += root->weight; + + if(root->nc>0) { + for(i=0; inc; i++){ + root->children[i].branch_weight = root->branch_weight; + longest_branch_seq_rec(root->children+i, longest_branch_weight, longest_branch_leaf); + } + } else { + if(root->branch_weight > *longest_branch_weight){ + *longest_branch_weight = root->branch_weight; + *longest_branch_leaf = root->id; + } + } + +} + + + + diff --git a/BE_OpenMP_2019/tree_branch/main.c b/BE_OpenMP_2019/tree_branch/main.c new file mode 100644 index 0000000..1f21b1c --- /dev/null +++ b/BE_OpenMP_2019/tree_branch/main.c @@ -0,0 +1,63 @@ +#include "_aux.h" + +void longest_branch_seq(node_t *root, unsigned int *longest_branch_weight, unsigned int *longest_branch_leaf); +void longest_branch_seq_rec(node_t *root, unsigned int *longest_branch_weight, unsigned int *longest_branch_leaf); + +void longest_branch_par(node_t *root, unsigned int *longest_branch_weight, unsigned int *longest_branch_leaf); +void longest_branch_par_rec(node_t *root, unsigned int *longest_branch_weight, unsigned int *longest_branch_leaf, int * updates); + +int main(int argc, char **argv) { + + int n; + int i, l, r, s; + long ts, te; + node_t root; + unsigned int longest_branch_weight, longest_branch_leaf; + + if ( argc == 3 ) { + l = atoi(argv[1]); /* the number of levels in the tree */ + s = atoi(argv[2]); /* the seed for the random number generation */ + } else { + printf("Usage:\n\n ./main l s\n\nwhere l is the number of levels in the tree and s the seed for the random number generation.\n"); + return 1; + } + + /* Chage this to generate different trees */ + srand(s); + + treeinit(&root, l); + + + printf("==================================================\n\n"); + printf("Starting sequential execution\n"); + + ts = usecs(); + longest_branch_seq(&root, &longest_branch_weight, &longest_branch_leaf); + te = usecs()-ts; + + printf("Sequential execution time: %6ld msec.\n",te/1000); + printf("Sequential weight : %d\n",longest_branch_weight); + printf("Sequential leaf : %d\n",longest_branch_leaf); + + + + + printf("==================================================\n\n"); + printf("Starting parallel execution\n"); + + ts = usecs(); + longest_branch_par(&root, &longest_branch_weight, &longest_branch_leaf); + te = usecs()-ts; + + printf("Parallel execution time : %6ld msec.\n",te/1000); + printf("Parallel weight : %d\n",longest_branch_weight); + printf("Parallel leaf : %d\n",longest_branch_leaf); + + return 0; + +} + + + + + diff --git a/BE_OpenMP_2019/tree_branch/subject.pdf b/BE_OpenMP_2019/tree_branch/subject.pdf new file mode 100644 index 0000000000000000000000000000000000000000..509886585ff4b5d3fbb98a788d676b6a4634b52b GIT binary patch literal 110815 zcma%iW3VW(mhQG~+qP}nwr$(CZQJ(QXWO=ov+Z~8ow@a1&D>Wr{Ue=pQnk{nR)6{O 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+ } + return; +} + + + +int func(){ + mysleep(0.0000001); + return 1; +} + diff --git a/BE_OpenMP_2014/synchronizations/aux.h b/BE_OpenMP_2014/synchronizations/aux.h new file mode 100644 index 0000000..248349a --- /dev/null +++ b/BE_OpenMP_2014/synchronizations/aux.h @@ -0,0 +1,4 @@ +long usecs (); +int func(); +void mysleep(double sec); + diff --git a/BE_OpenMP_2014/synchronizations/main.c b/BE_OpenMP_2014/synchronizations/main.c new file mode 100644 index 0000000..fe8175d --- /dev/null +++ b/BE_OpenMP_2014/synchronizations/main.c @@ -0,0 +1,156 @@ +#include +#include +#include +#include "omp.h" +#include "aux.h" +#define NIT 1000000 +#define NE 10000 + +void sequential(int *data); +void parallel_critical(int *data); +void parallel_atomic(int *data); +void parallel_locks(int *data); + +int main(int argc, char **argv) +{ + int n, i, j, k, nth, thn, cnt; + long t_start, t_end, save; + double s, z, x, y, nx, ny, nz, mz; + int data[NE]; + + /* Initialize data */ + for (i = 0; i < NE; i++) + data[i] = 0; + + t_start = usecs(); + sequential(data); + t_end = usecs(); + + for (cnt = 0, i = 0; i < NE; i++) + { + cnt += data[i]; + } + printf("Sequential time : %8.2f msec.", ((double)t_end - t_start) / 1000.0); + printf(" -- result: %4d\n", cnt); + + /***********************************************************************/ + /***********************************************************************/ + /***********************************************************************/ + + for (i = 0; i < NE; i++) + data[i] = 0; + + t_start = usecs(); + parallel_critical(data); + t_end = usecs(); + + for (cnt = 0, i = 0; i < NE; i++) + { + cnt += data[i]; + } + printf("Critical time : %8.2f msec.", ((double)t_end - t_start) / 1000.0); + printf(" -- result: %4d\n", cnt); + + /***********************************************************************/ + /***********************************************************************/ + /***********************************************************************/ + + for (i = 0; i < NE; i++) + data[i] = 0; + + t_start = usecs(); + parallel_atomic(data); + t_end = usecs(); + + for (cnt = 0, i = 0; i < NE; i++) + { + cnt += data[i]; + } + printf("Atomic time : %8.2f msec.", ((double)t_end - t_start) / 1000.0); + printf(" -- result: %4d\n", cnt); + + /***********************************************************************/ + /***********************************************************************/ + /***********************************************************************/ + + for (i = 0; i < NE; i++) + { + data[i] = 0; + } + + t_start = usecs(); + parallel_locks(data); + t_end = usecs(); + + for (cnt = 0, i = 0; i < NE; i++) + { + cnt += data[i]; + } + printf("Locks time : %8.2f msec.", ((double)t_end - t_start) / 1000.0); + printf(" -- result: %4d\n", cnt); + + return 0; +} + +void sequential(int *data) +{ + int i, j; + + for (i = 0; i < NIT; i++) + { + j = rand() % NE; + data[j] += func(); + } +} + +void parallel_critical(int *data) +{ + int i, j; + +#pragma omp parallel + +#pragma omp for + for (i = 0; i < NIT; i++) + { + j = rand() % NE; +#pragma omp critical + data[j] += func(); + } +} + +void parallel_atomic(int *data) +{ + int i, j; + +#pragma omp parallel + +#pragma omp for + for (i = 0; i < NIT; i++) + { + j = rand() % NE; +#pragma omp atomic update + data[j] += func(); + } +} + +void parallel_locks(int *data) +{ + int i, j; + omp_lock_t *lock = malloc(sizeof(omp_lock_t)); + + omp_init_lock(lock); + +#pragma omp parallel shared(lock) + +#pragma omp for + for (i = 0; i < NIT; i++) + { + j = rand() % NE; + omp_set_lock(lock); + data[j] += func(); + omp_unset_lock(lock); + } + +#pragma omp single + free(lock); +} diff --git a/BE_OpenMP_2014/synchronizations/subject.pdf b/BE_OpenMP_2014/synchronizations/subject.pdf new file mode 100644 index 0000000000000000000000000000000000000000..08bb4a53ae72ae6f6ba8751e243b45be04113b37 GIT binary patch literal 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