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mandelbrot_cpu.c
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#include "mpi.h"
#include <string.h>
#include <stdio.h>
#include <stdlib.h>
#include <time.h>
#include <SDL2/SDL.h>
#define SIZE 1024
unsigned char pixels[SIZE * SIZE * 3];
int POWER = 2;
double R_F(double a, double r, double c){
switch (POWER){
case 2:
return a + r*r - c*c;
case 3:
return a + r*r*r - 3*r*c*c;
case 4:
return a + r*r*r*r - 6*r*r*c*c + c*c*c*c;
default:
return 0;
}
}
double I_F(double b, double r, double c){
switch (POWER){
case 2:
return b + 2*r*c;
case 3:
return b + 3*r*r*c - c*c*c + b;
case 4:
return b - 4*r*c*c*c + 4*r*r*r*c;
default:
return 0;
}
}
char characterGrayScale(int grayScale)
{
if (grayScale < 25) return ' ';
if (grayScale < 50) return '.';
if (grayScale < 75) return ':';
if (grayScale < 100) return '-';
if (grayScale < 125) return '=';
if (grayScale < 150) return '+';
if (grayScale < 175) return '*';
if (grayScale < 200) return '#';
if (grayScale < 225) return '%';
return '@';
}
unsigned char getColorR(int t){
int t_i = (t/60) % 6;
float f = t/60.0 - t_i;
float s = 1.0;
float v = 1-t/255;
int8_t l = v * (1-s) * 255;
int8_t m = v * (1-f*s) * 255;
int8_t n = v * (1-(1-f)*s) * 255;
switch (t_i){
case 0:
return v*255;
case 1:
return m;
case 2:
return l;
case 3:
return l;
case 4:
return n;
case 5:
return v*255;
}
}
unsigned char getColorG(int t){
int t_i = (t/60) % 6;
float f = t/60.0 - t_i;
float s = 1.0;
float v = 1-t/255;
int8_t l = v * (1-s) * 255;
int8_t m = v * (1-f*s) * 255;
int8_t n = v * (1-(1-f)*s) * 255;
switch (t_i){
case 0:
return n;
case 1:
return v*255;
case 2:
return v*255;
case 3:
return m;
case 4:
return l;
case 5:
return l;
}
}
unsigned char getColorB(int t){
int t_i = (t/60) % 6;
float f = t/60.0 - t_i;
float s = 1.0;
float v = 1-t/255;
int8_t l = v * (1-s) * 255;
int8_t m = v * (1-f*s) * 255;
int8_t n = v * (1-(1-f)*s) * 255;
switch (t_i){
case 0:
return l;
case 1:
return l;
case 2:
return n;
case 3:
return v*255;
case 4:
return v*255;
case 5:
return m;
}
}
void render(SDL_Renderer* pRenderer, int * T_ALL){
for (int i=0; i < SIZE; i++){
for (int j=0; j < SIZE; j++){
pixels[(i*SIZE+j)*3] = getColorR(T_ALL[j*SIZE+i]);
pixels[(i*SIZE+j)*3 + 1] = getColorG(T_ALL[j*SIZE+i]);
pixels[(i*SIZE+j)*3 + 2] = getColorB(T_ALL[j*SIZE+i]);
if (T_ALL[j*SIZE+i] < 0){
pixels[(i*SIZE+j)*3] = getColorR(255);
pixels[(i*SIZE+j)*3 + 1] = getColorG(255);
pixels[(i*SIZE+j)*3 + 2] = getColorB(255);
}
}
}
SDL_Rect texture_rect;
texture_rect.x=0; texture_rect.y=0; texture_rect.w=SIZE; texture_rect.h=SIZE;
SDL_Surface *surface = SDL_CreateRGBSurfaceFrom((void*)pixels,
SIZE,
SIZE,
3 * 8, // bits per pixel = 24
SIZE * 3, // pitch
0x0000FF, // red mask
0x00FF00, // green mask
0xFF0000, // blue mask
0); // alpha mask (none)
SDL_Texture *texture = SDL_CreateTextureFromSurface(pRenderer, surface);
SDL_RenderClear(pRenderer);
SDL_RenderCopy(pRenderer, texture, NULL, &texture_rect);
SDL_RenderPresent(pRenderer);
}
void MPI_CALC_Mandelbrot_Spiral(double center_x, double center_y, double size, int rank, int ROOT, int TOTAL_CORE, int * T, int * T_ALL, int * BUFF_X, int * BUFF_Y){
double re, im, tmp;
int lastIdx = 0;
int n, i, j, ic;
double c_r, c_i;
for (int i=0; i<SIZE/TOTAL_CORE; i++){
for (int j=0; j<SIZE; j++){
T[i*SIZE+j] = -2;
}
}
for (int i_core=0; i_core<TOTAL_CORE; i_core++){
if (rank == i_core){
j = 0;
for (i = 0; i < SIZE/TOTAL_CORE; i++){
BUFF_X[lastIdx] = i;
BUFF_Y[lastIdx] = j;
T[i*SIZE+j] = -1;
lastIdx++;
}
i = 0;
for (j = 0; j < SIZE; j++){
BUFF_X[lastIdx] = i;
BUFF_Y[lastIdx] = j;
T[i*SIZE+j] = -1;
lastIdx++;
}
j = SIZE - 1;
for (i = 0; i < SIZE/TOTAL_CORE; i++){
BUFF_X[lastIdx] = i;
BUFF_Y[lastIdx] = j;
T[i*SIZE+j] = -1;
lastIdx++;
}
i = SIZE/TOTAL_CORE - 1;
for (j = 0; j < SIZE; j++){
BUFF_X[lastIdx] = i;
BUFF_Y[lastIdx] = j;
T[i*SIZE+j] = -1;
lastIdx++;
}
while (lastIdx > 0){
lastIdx--;
i = BUFF_X[lastIdx] + i_core*(SIZE/TOTAL_CORE);
ic = BUFF_X[lastIdx];
j = BUFF_Y[lastIdx];
n = 0;
c_r = size*(i*1./SIZE-0.5) + center_x;
c_i = size*(j*1./SIZE-0.5) + center_y;
re = c_r;
im = c_i;
while (n < 255 && (re*re + im*im < 4)){
tmp = R_F(c_r, re, im);
im = I_F(c_i, re, im);
re = tmp;
n++;
}
T[ic*SIZE+j] = n;
if (n < 255){
for (int u=-1; u<=1; u++){
for (int v=-1; v<=1; v++){
if (0 <= ic+u && ic+u < SIZE/TOTAL_CORE && 0 <= j+v && j+v < SIZE){
if (T[(ic+u)*SIZE+j+v] == -2){
BUFF_X[lastIdx] = ic+u;
BUFF_Y[lastIdx] = j+v;
T[(ic+u)*SIZE+j+v] = -1;
lastIdx++;
}
}
}
}
}
}
}
}
MPI_Gather( T, (SIZE/TOTAL_CORE) * SIZE, MPI_INT, // SENDER
T_ALL, (SIZE/TOTAL_CORE) * SIZE, MPI_INT, // RECEIVER
ROOT, MPI_COMM_WORLD);
}
// Calcul de l'ensemble de Mandelbrot en parallèle efficace (car l'ensemble est compact, on ne calcul que les bords de l'ensemble)
void MPI_CALC_Julia_Spiral(double center_x, double center_y, double size, int rank, int ROOT, int TOTAL_CORE, int * T, int * T_ALL, int * BUFF_X, int * BUFF_Y){
double re, im, tmp;
int lastIdx = 0;
int n, i, j, ic;
double c_r, c_i;
for (int i=0; i<SIZE/TOTAL_CORE; i++){
for (int j=0; j<SIZE; j++){
T[i*SIZE+j] = -2;
}
}
for (int i_core=0; i_core<TOTAL_CORE; i_core++){
if (rank == i_core){
// On initialise les bords de l'ensemble et on ajoute les points aux alentours dans une queue pour qu'ils soient calculé à l'étape suivante
j = 0;
for (i = 0; i < SIZE/TOTAL_CORE; i++){
BUFF_X[lastIdx] = i;
BUFF_Y[lastIdx] = j;
T[i*SIZE+j] = -1;
lastIdx++;
}
i = 0;
for (j = 0; j < SIZE; j++){
BUFF_X[lastIdx] = i;
BUFF_Y[lastIdx] = j;
T[i*SIZE+j] = -1;
lastIdx++;
}
j = SIZE - 1;
for (i = 0; i < SIZE/TOTAL_CORE; i++){
BUFF_X[lastIdx] = i;
BUFF_Y[lastIdx] = j;
T[i*SIZE+j] = -1;
lastIdx++;
}
i = SIZE/TOTAL_CORE - 1;
for (j = 0; j < SIZE; j++){
BUFF_X[lastIdx] = i;
BUFF_Y[lastIdx] = j;
T[i*SIZE+j] = -1;
lastIdx++;
}
// Tant qu'on a des points dans la queue, on les calculs puis on ajoute les points aux alentours dans la queue, si un point atteint l'itération maximum
// il est considéré comme un bord, et on n'ajoute pas les points alentours dans la queue
while (lastIdx > 0){
lastIdx--;
i = BUFF_X[lastIdx] + i_core*(SIZE/TOTAL_CORE);
ic = BUFF_X[lastIdx];
j = BUFF_Y[lastIdx];
n = 0;
c_r = center_x;
c_i = center_y;
re = size*(i*1./SIZE-0.5);
im = size*(j*1./SIZE-0.5);
while (n < 255 && (re*re + im*im < 4)){
tmp = R_F(c_r, re, im);
im = I_F(c_i, re, im);
re = tmp;
n++;
}
T[ic*SIZE+j] = n;
if (n < 255){
for (int u=-1; u<=1; u++){
for (int v=-1; v<=1; v++){
if (0 <= ic+u && ic+u < SIZE/TOTAL_CORE && 0 <= j+v && j+v < SIZE){
if (T[(ic+u)*SIZE+j+v] == -2){
BUFF_X[lastIdx] = ic+u;
BUFF_Y[lastIdx] = j+v;
T[(ic+u)*SIZE+j+v] = -1;
lastIdx++;
}
}
}
}
}
}
}
}
MPI_Gather( T, (SIZE/TOTAL_CORE) * SIZE, MPI_INT, // SENDER
T_ALL, (SIZE/TOTAL_CORE) * SIZE, MPI_INT, // RECEIVER
ROOT, MPI_COMM_WORLD);
}
// Calcul de l'ensemble de Mandelbrot en parallèle naïf
void MPI_CALC_Mandelbrot(double center_x, double center_y, double size, int rank, int ROOT, int TOTAL_CORE, int * T, int * T_ALL){
double re, im, tmp;
int n;
double c_r, c_i;
for (int i_core=0; i_core<TOTAL_CORE; i_core++){
if (rank == i_core){
for (int i = 0; i < SIZE/TOTAL_CORE; i++){
for (int j = 0; j < SIZE; j++){
n = 0;
c_r = size*(i*1./SIZE-0.5) + center_x + i_core * size/TOTAL_CORE;
c_i = size*(j*1./SIZE-0.5) + center_y;
re = c_r;
im = c_i;
while (n < 255 && (re*re + im*im < 4)){
tmp = R_F(c_r, re, im);
im = I_F(c_i, re, im);
re = tmp;
n++;
}
T[i*SIZE+j] = n;
}
}
}
}
MPI_Gather( T, (SIZE/TOTAL_CORE) * SIZE, MPI_INT, // SENDER
T_ALL, (SIZE/TOTAL_CORE) * SIZE, MPI_INT, // RECEIVER
ROOT, MPI_COMM_WORLD);
}
int main(int argc, char** argv) {
MPI_Init(NULL, NULL);
int buf;
int ROOT = 0;
int numtasks, rank, len;
char hostname[MPI_MAX_PROCESSOR_NAME];
if (argc == 2){
int p = argv[1][0] - '0';
if (p >= 2 && p <= 4){
POWER = p;
}
}
int * T, * T_ALL, * BUFF_X, * BUFF_Y;
clock_t t1, t2, t;
MPI_Status status;
MPI_Comm_size(MPI_COMM_WORLD ,&numtasks);
MPI_Comm_rank(MPI_COMM_WORLD ,&rank);
MPI_Get_processor_name(hostname, &len);
printf("NOMBRE DE COEURS UTILISES : %i\n", numtasks);
T_ALL = (int*)malloc(SIZE*SIZE*sizeof(int)); // -> Matrice représentant l'ensemble de Mandelbrot
T = (int*)malloc((SIZE/numtasks)*SIZE*sizeof(int)); // -> Partie de la matrice représentant l'ensemble de Mandelbrot calculer sur un seul coeur
BUFF_X = (int*)malloc((SIZE/numtasks)*SIZE*sizeof(int)); // -> Liste simulant une queue utilisé pour calculer Mandelbrot de manière efficace
BUFF_Y = (int*)malloc((SIZE/numtasks)*SIZE*sizeof(int)); // -> Liste simulant une queue utilisé pour calculer Mandelbrot de manière efficace
int lastIdx = 0;
double center_x = 0., center_y = 0., size = 3.;
double data[3];
data[0] = 0.; // center x
data[1] = 0.; // center y
data[2] = 3.; // size
data[3] = 0.; // 0 -> Mandelbrot, 1 -> Julia, Autre -> Fin du programme
SDL_Window* pWindow = NULL;
SDL_Renderer* pRenderer = NULL;
if (rank==ROOT){
if(SDL_Init(SDL_INIT_VIDEO) < 0){
SDL_LogError(SDL_LOG_CATEGORY_APPLICATION, "[debug] %s", SDL_GetError());
return 0;
}
pWindow = SDL_CreateWindow("SDL Programme", SDL_WINDOWPOS_CENTERED, SDL_WINDOWPOS_CENTERED, SIZE, SIZE, SDL_WINDOW_SHOWN);
if (pWindow == NULL){
SDL_LogError(SDL_LOG_CATEGORY_APPLICATION, "[DEBUG] > %s", SDL_GetError());
SDL_Quit();
return 0;
}
pRenderer = SDL_CreateRenderer(pWindow, -1, SDL_RENDERER_ACCELERATED);
if (pRenderer == NULL){
SDL_LogError(SDL_LOG_CATEGORY_APPLICATION, "[DEBUG] > %s", SDL_GetError());
SDL_Quit();
return 0;
}
}
SDL_Event events;
int xMouse, yMouse;
unsigned hold=0, isOpen=1, isMandelbrot=1;
double cx, cy;
//MPI_CALC_Mandelbrot(data[0], data[1], data[2], rank, ROOT, numtasks, T, T_ALL);
MPI_CALC_Mandelbrot_Spiral(data[0], data[1], data[2], rank, ROOT, numtasks, T, T_ALL, BUFF_X, BUFF_Y);
render(pRenderer, T_ALL);
while (isOpen) {
if (rank!=ROOT){
MPI_Bcast(data, 4, MPI_DOUBLE, ROOT, MPI_COMM_WORLD);
if (data[3]==0.){
//MPI_CALC_Mandelbrot(data[0], data[1], data[2], rank, ROOT, numtasks, T, T_ALL);
MPI_CALC_Mandelbrot_Spiral(data[0], data[1], data[2], rank, ROOT, numtasks, T, T_ALL, BUFF_X, BUFF_Y);
}
else if (data[3]==1.){
MPI_CALC_Julia_Spiral(data[0], data[1], 3., rank, ROOT, numtasks, T, T_ALL, BUFF_X, BUFF_Y);
}
else{
isOpen = 0;
}
}
else{
if (hold && !isMandelbrot){
SDL_GetMouseState(&xMouse,&yMouse);
cx = data[0];
cy = data[1];
data[0] = data[2]*(xMouse*1.0/SIZE - 0.5) + data[0];
data[1] = data[2]*(yMouse*1.0/SIZE - 0.5) + data[1];
t1 = clock();
MPI_Bcast(data, 4, MPI_DOUBLE, ROOT, MPI_COMM_WORLD);
MPI_CALC_Julia_Spiral(data[0], data[1], 3., rank, ROOT, numtasks, T, T_ALL, BUFF_X, BUFF_Y);
t2 = clock();
t = t2-t1;
printf("Temps Julia MPI : %i ms\n", (int) (t * 1000 / CLOCKS_PER_SEC));
render(pRenderer, T_ALL);
data[0] = cx;
data[1] = cy;
}
while (SDL_PollEvent(&events)) {
switch (events.type) {
case SDL_QUIT:
isOpen = 0;
break;
case SDL_KEYDOWN:
isMandelbrot = 1 - isMandelbrot;
break;
case SDL_MOUSEBUTTONDOWN:
if (isMandelbrot){
SDL_GetMouseState(&xMouse,&yMouse);
data[2] /= 2;
data[0] = data[2]*(xMouse*1.0/SIZE - 0.5)+data[0];
data[1] = data[2]*(yMouse*1.0/SIZE - 0.5)+data[1];
if (events.button.button == SDL_BUTTON_RIGHT){
data[2] = 3.;
data[0] = 0.;
data[1] = 0.;
}
t1 = clock();
MPI_Bcast(data, 4, MPI_DOUBLE, ROOT, MPI_COMM_WORLD);
//MPI_CALC_Mandelbrot(data[0], data[1], data[2], rank, ROOT, numtasks, T, T_ALL);
MPI_CALC_Mandelbrot_Spiral(data[0], data[1], data[2], rank, ROOT, numtasks, T, T_ALL, BUFF_X, BUFF_Y);
t2 = clock();
t = t2-t1;
printf("Temps Mandelbrot MPI : %i ms\n", (int) (t * 1000 / CLOCKS_PER_SEC));
render(pRenderer, T_ALL);
}
else{
data[3] = 1. - data[3];
hold = 1;
}
break;
case SDL_MOUSEBUTTONUP:
if (!isMandelbrot){
data[3] = 1. - data[3];
MPI_Bcast(data, 4, MPI_DOUBLE, ROOT, MPI_COMM_WORLD);
//MPI_CALC_Mandelbrot(data[0], data[1], data[2], rank, ROOT, numtasks, T, T_ALL);
MPI_CALC_Mandelbrot_Spiral(data[0], data[1], data[2], rank, ROOT, numtasks, T, T_ALL, BUFF_X, BUFF_Y);
render(pRenderer, T_ALL);
hold = 0;
}
break;
}
}
}
}
if (rank==ROOT){
data[3] = -1.;
MPI_Bcast(data, 4, MPI_DOUBLE, ROOT, MPI_COMM_WORLD);
SDL_DestroyRenderer(pRenderer);
SDL_DestroyWindow(pWindow);
SDL_Quit();
}
free(T);
free(T_ALL);
free(BUFF_X);
free(BUFF_Y);
MPI_Finalize();
return 0;
}