ex6: init
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mandel
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mandel_c
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PATH+=:/usr/local/cuda/bin
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all: mandel_c mandel
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mandel:
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nvcc -o mandel mandel.cu -O3 -lm
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mandel_c:
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gcc -o mandel_c mandel_c.c -O3 -Wall -std=c99 -lm
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clean:
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-rm -f mandel_c mandel
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#include <stdio.h>
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#include <stdlib.h>
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#include <math.h>
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#include <sys/time.h>
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/* Problem size */
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#define XSIZE 2560
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#define YSIZE 2048
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/* Divide the problem into blocks of BLOCKX x BLOCKY threads */
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#define BLOCKY 8
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#define BLOCKX 8
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#define MAXITER 255
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double xleft=-2.01;
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double xright=1;
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double yupper,ylower;
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double ycenter=1e-6;
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double step;
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int host_pixel[XSIZE*YSIZE];
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int device_pixel[XSIZE*YSIZE];
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typedef struct {
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double real,imag;
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} my_complex_t;
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#define PIXEL(i,j) ((i)+(j)*XSIZE)
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/********** SUBTASK1: Create kernel device_calculate *************************/
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//Insert code here
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/********** SUBTASK1 END *****************************************************/
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void host_calculate() {
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for(int j=0;j<YSIZE;j++) {
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for(int i=0;i<XSIZE;i++) {
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/* Calculate the number of iterations until divergence for each pixel.
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If divergence never happens, return MAXITER */
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my_complex_t c,z,temp;
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int iter=0;
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c.real = (xleft + step*i);
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c.imag = (yupper - step*j);
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z = c;
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while(z.real*z.real + z.imag*z.imag < 4.0) {
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temp.real = z.real*z.real - z.imag*z.imag + c.real;
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temp.imag = 2.0*z.real*z.imag + c.imag;
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z = temp;
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if(++iter==MAXITER) break;
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}
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host_pixel[PIXEL(i,j)]=iter;
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}
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}
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}
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typedef unsigned char uchar;
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/* save 24-bits bmp file, buffer must be in bmp format: upside-down */
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void savebmp(char *name,uchar *buffer,int x,int y) {
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FILE *f=fopen(name,"wb");
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if(!f) {
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printf("Error writing image to disk.\n");
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return;
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}
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unsigned int size=x*y*3+54;
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uchar header[54]={'B','M',size&255,(size>>8)&255,(size>>16)&255,size>>24,0,
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0,0,0,54,0,0,0,40,0,0,0,x&255,x>>8,0,0,y&255,y>>8,0,0,1,0,24,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
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fwrite(header,1,54,f);
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fwrite(buffer,1,x*y*3,f);
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fclose(f);
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}
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/* given iteration number, set a colour */
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void fancycolour(uchar *p,int iter) {
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if(iter==MAXITER);
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else if(iter<8) { p[0]=128+iter*16; p[1]=p[2]=0; }
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else if(iter<24) { p[0]=255; p[1]=p[2]=(iter-8)*16; }
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else if(iter<160) { p[0]=p[1]=255-(iter-24)*2; p[2]=255; }
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else { p[0]=p[1]=(iter-160)*2; p[2]=255-(iter-160)*2; }
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}
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/*
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* Get system time to microsecond precision (ostensibly, the same as MPI_Wtime),
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* returns time in seconds
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*/
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double walltime ( void ) {
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static struct timeval t;
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gettimeofday ( &t, NULL );
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return ( t.tv_sec + 1e-6 * t.tv_usec );
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}
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int main(int argc,char **argv) {
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if(argc==1) {
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puts("Usage: MANDEL n");
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puts("n decides whether image should be written to disk (1=yes, 0=no)");
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return 0;
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}
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double start;
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double hosttime=0;
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double devicetime=0;
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double memtime=0;
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cudaDeviceProp p;
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cudaSetDevice(0);
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cudaGetDeviceProperties (&p, 0);
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printf("Device compute capability: %d.%d\n", p.major, p.minor);
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/* Calculate the range in the y-axis such that we preserve the
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aspect ratio */
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step=(xright-xleft)/XSIZE;
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yupper=ycenter+(step*YSIZE)/2;
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ylower=ycenter-(step*YSIZE)/2;
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/* Host calculates image */
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start=walltime();
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host_calculate();
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hosttime+=walltime()-start;
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/********** SUBTASK2: Set up device memory *******************************/
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// Insert code here
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/********** SUBTASK2 END *************************************************/
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start=walltime();
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/********** SUBTASK3: Execute the kernel on the device *******************/
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//Insert code here
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/********** SUBTASK3 END *************************************************/
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devicetime+=walltime()-start;
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start=walltime();
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/********** SUBTASK4: Transfer the result from device to device_pixel[][]*/
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//Insert code here
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/********** SUBTASK4 END *************************************************/
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memtime+=walltime()-start;
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/********** SUBTASK5: Free the device memory also ************************/
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//Insert code here
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/********** SUBTASK5 END *************************************************/
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int errors=0;
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/* check if result is correct */
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for(int i=0;i<XSIZE;i++) {
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for(int j=0;j<YSIZE;j++) {
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int diff=host_pixel[PIXEL(i,j)]-device_pixel[PIXEL(i,j)];
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if(diff<0) diff=-diff;
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/* allow +-1 difference */
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if(diff>1) {
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if(errors<10) printf("Error on pixel %d %d: expected %d, found %d\n",
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i,j,host_pixel[PIXEL(i,j)],device_pixel[PIXEL(i,j)]);
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else if(errors==10) puts("...");
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errors++;
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}
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}
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}
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if(errors>0) printf("Found %d errors.\n",errors);
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else puts("Device calculations are correct.");
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printf("\n");
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printf("Host time: %7.3f ms\n",hosttime*1e3);
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printf("Device calculation: %7.3f ms\n",devicetime*1e3);
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printf("Copy result: %7.3f ms\n",memtime*1e3);
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if(strtol(argv[1],NULL,10)!=0) {
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/* create nice image from iteration counts. take care to create it upside
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down (bmp format) */
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unsigned char *buffer=(unsigned char *)calloc(XSIZE*YSIZE*3,1);
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for(int i=0;i<XSIZE;i++) {
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for(int j=0;j<YSIZE;j++) {
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int p=((YSIZE-j-1)*XSIZE+i)*3;
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fancycolour(buffer+p,device_pixel[PIXEL(i,j)]);
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}
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}
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/* write image to disk */
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savebmp("mandel1.bmp",buffer,XSIZE,YSIZE);
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}
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return 0;
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}
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@@ -0,0 +1,100 @@
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#include <stdio.h>
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#include <stdlib.h>
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#include <math.h>
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#define XSIZE 2560
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#define YSIZE 2048
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#define MAXITER 255
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double xleft=-2.01;
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double xright=1;
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double yupper,ylower;
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double ycenter=1e-6;
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double step;
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int pixel[XSIZE*YSIZE];
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#define PIXEL(i,j) ((i)+(j)*XSIZE)
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typedef struct {
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double real,imag;
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} complex_t;
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void calculate() {
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for(int i=0;i<XSIZE;i++) {
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for(int j=0;j<YSIZE;j++) {
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/* Calculate the number of iterations until divergence for each pixel.
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If divergence never happens, return MAXITER */
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complex_t c,z,temp;
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int iter=0;
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c.real = (xleft + step*i);
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c.imag = (ylower + step*j);
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z = c;
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while(z.real*z.real + z.imag*z.imag < 4) {
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temp.real = z.real*z.real - z.imag*z.imag + c.real;
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temp.imag = 2*z.real*z.imag + c.imag;
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z = temp;
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if(++iter==MAXITER) break;
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}
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pixel[PIXEL(i,j)]=iter;
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}
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}
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}
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typedef unsigned char uchar;
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/* save 24-bits bmp file, buffer must be in bmp format: upside-down */
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void savebmp(char *name,uchar *buffer,int x,int y) {
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FILE *f=fopen(name,"wb");
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if(!f) {
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printf("Error writing image to disk.\n");
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return;
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}
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unsigned int size=x*y*3+54;
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uchar header[54]={'B','M',size&255,(size>>8)&255,(size>>16)&255,size>>24,0,
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0,0,0,54,0,0,0,40,0,0,0,x&255,x>>8,0,0,y&255,y>>8,0,0,1,0,24,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0};
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fwrite(header,1,54,f);
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fwrite(buffer,1,XSIZE*YSIZE*3,f);
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fclose(f);
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}
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/* given iteration number, set a colour */
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void fancycolour(uchar *p,int iter) {
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if(iter==MAXITER);
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else if(iter<8) { p[0]=128+iter*16; p[1]=p[2]=0; }
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else if(iter<24) { p[0]=255; p[1]=p[2]=(iter-8)*16; }
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else if(iter<160) { p[0]=p[1]=255-(iter-24)*2; p[2]=255; }
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else { p[0]=p[1]=(iter-160)*2; p[2]=255-(iter-160)*2; }
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}
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int main(int argc,char **argv) {
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if(argc==1) {
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puts("Usage: MANDEL n");
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puts("n decides whether image should be written to disk (1=yes, 0=no)");
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return 0;
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}
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/* Calculate the range in the y-axis such that we preserve the
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aspect ratio */
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step=(xright-xleft)/XSIZE;
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yupper=ycenter+(step*YSIZE)/2;
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ylower=ycenter-(step*YSIZE)/2;
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calculate();
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if(strtol(argv[1],NULL,10)!=0) {
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/* create nice image from iteration counts. take care to create it upside
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down (bmp format) */
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unsigned char *buffer=calloc(XSIZE*YSIZE*3,1);
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for(int i=0;i<XSIZE;i++) {
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for(int j=0;j<YSIZE;j++) {
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int p=((YSIZE-j-1)*XSIZE+i)*3;
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fancycolour(buffer+p,pixel[PIXEL(i,j)]);
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}
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}
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/* write image to disk */
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savebmp("mandel2.bmp",buffer,XSIZE,YSIZE);
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}
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return 0;
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}
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