root / Pi / C / Simple / Pi.c @ 27
Historique | Voir | Annoter | Télécharger (1,71 ko)
1 | 7 | equemene | //
|
---|---|---|---|
2 | 7 | equemene | // Estimation of Pi using Monte Carlo exploration process
|
3 | 7 | equemene | // gcc -std=c99 -O3 -o Pi Pi.c -lm
|
4 | 7 | equemene | //
|
5 | 7 | equemene | |
6 | 7 | equemene | #include <math.h> |
7 | 7 | equemene | #include <stdio.h> |
8 | 7 | equemene | #include <stdlib.h> |
9 | 7 | equemene | |
10 | 7 | equemene | // Marsaglia RNG very simple implementation
|
11 | 7 | equemene | #define znew ((z=36969*(z&65535)+(z>>16))<<16) |
12 | 7 | equemene | #define wnew ((w=18000*(w&65535)+(w>>16))&65535) |
13 | 7 | equemene | #define MWC (znew+wnew)
|
14 | 7 | equemene | #define SHR3 (jsr=(jsr=(jsr=jsr^(jsr<<17))^(jsr>>13))^(jsr<<5)) |
15 | 7 | equemene | #define CONG (jcong=69069*jcong+1234567) |
16 | 7 | equemene | #define KISS ((MWC^CONG)+SHR3)
|
17 | 7 | equemene | |
18 | 10 | equemene | #define CONGfp CONG * 2.328306435454494e-10f |
19 | 7 | equemene | #define MWCfp MWC * 2.328306435454494e-10f |
20 | 7 | equemene | #define KISSfp KISS * 2.328306435454494e-10f |
21 | 7 | equemene | |
22 | 7 | equemene | #define ITERATIONS 1000000000 |
23 | 7 | equemene | |
24 | 7 | equemene | #ifdef LONG
|
25 | 7 | equemene | #define LENGTH unsigned long |
26 | 7 | equemene | #else
|
27 | 7 | equemene | #define LENGTH unsigned int |
28 | 7 | equemene | #endif
|
29 | 7 | equemene | |
30 | 7 | equemene | LENGTH MainLoopGlobal(LENGTH iterations,unsigned int seed_w,unsigned int seed_z) |
31 | 7 | equemene | { |
32 | 7 | equemene | unsigned int z=seed_z; |
33 | 7 | equemene | unsigned int w=seed_w; |
34 | 7 | equemene | |
35 | 7 | equemene | unsigned long total=0; |
36 | 7 | equemene | |
37 | 7 | equemene | for (LENGTH i=0;i<iterations;i++) { |
38 | 7 | equemene | |
39 | 7 | equemene | float x=MWCfp ;
|
40 | 7 | equemene | float y=MWCfp ;
|
41 | 7 | equemene | |
42 | 7 | equemene | // Matching test
|
43 | 21 | equemene | |
44 | 21 | equemene | #ifdef IFSQRT
|
45 | 21 | equemene | if ( sqrt(x*x+y*y) < 1.0f ) { |
46 | 21 | equemene | total+=1;
|
47 | 21 | equemene | } |
48 | 21 | equemene | #elif IFWOSQRT
|
49 | 21 | equemene | if ( (x*x+y*y) < 1.0f ) { |
50 | 21 | equemene | total+=1;
|
51 | 21 | equemene | } |
52 | 21 | equemene | #else
|
53 | 7 | equemene | int inside=((x*x+y*y) < 1.0f) ? 1:0; |
54 | 7 | equemene | total+=inside; |
55 | 21 | equemene | #endif
|
56 | 21 | equemene | |
57 | 7 | equemene | } |
58 | 7 | equemene | |
59 | 7 | equemene | return(total);
|
60 | 7 | equemene | |
61 | 7 | equemene | } |
62 | 7 | equemene | |
63 | 7 | equemene | int main(int argc, char *argv[]) { |
64 | 7 | equemene | |
65 | 7 | equemene | unsigned int seed_w=10,seed_z=10; |
66 | 7 | equemene | LENGTH iterations=ITERATIONS; |
67 | 7 | equemene | |
68 | 7 | equemene | if (argc > 1) { |
69 | 7 | equemene | iterations=(LENGTH)atol(argv[1]);
|
70 | 7 | equemene | } |
71 | 7 | equemene | else {
|
72 | 7 | equemene | printf("\n\tPi : Estimate Pi with Monte Carlo exploration\n\n\t\t#1 : number of iterations (default 1 billion)\n\n");
|
73 | 7 | equemene | } |
74 | 7 | equemene | |
75 | 7 | equemene | float pi=(float)MainLoopGlobal(iterations,seed_w,seed_z)/(float)iterations*4; |
76 | 7 | equemene | |
77 | 21 | equemene | printf("\tPi=%.40f\n\twith error %.40f\n\twith %lu iterations\n\n",pi,
|
78 | 8 | equemene | fabs(pi-4*atan(1))/pi,(unsigned long)iterations); |
79 | 7 | equemene | |
80 | 7 | equemene | } |