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1 | 154 | equemene | //
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2 | 154 | equemene | // Estimation of Pi using Monte Carlo exploration process
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3 | 154 | equemene | // Cecill v2 Emmanuel QUEMENER <emmanuel.quemener@gmail.com>
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4 | 154 | equemene | // gcc -O3 -o Pi_Simple Pi_Simple.c -lm
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5 | 154 | equemene | //
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6 | 154 | equemene | |
7 | 154 | equemene | #include <math.h> |
8 | 154 | equemene | #include <stdio.h> |
9 | 154 | equemene | #include <stdlib.h> |
10 | 154 | equemene | #include <omp.h> |
11 | 154 | equemene | #include <limits.h> |
12 | 154 | equemene | |
13 | 154 | equemene | // Marsaglia RNG very simple implementation
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14 | 154 | equemene | #define znew ((z=36969*(z&65535)+(z>>16))<<16) |
15 | 154 | equemene | #define wnew ((w=18000*(w&65535)+(w>>16))&65535) |
16 | 154 | equemene | #define MWC (znew+wnew)
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17 | 154 | equemene | #define SHR3 (jsr=(jsr=(jsr=jsr^(jsr<<17))^(jsr>>13))^(jsr<<5)) |
18 | 154 | equemene | #define CONG (jcong=69069*jcong+1234567) |
19 | 154 | equemene | #define KISS ((MWC^CONG)+SHR3)
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20 | 154 | equemene | |
21 | 154 | equemene | #define MWCfp MWC * 2.328306435454494e-10f |
22 | 154 | equemene | #define KISSfp KISS * 2.328306435454494e-10f |
23 | 154 | equemene | #define SHR3fp SHR3 * 2.328306435454494e-10f |
24 | 154 | equemene | #define CONGfp CONG * 2.328306435454494e-10f |
25 | 154 | equemene | |
26 | 154 | equemene | #define ITERATIONS 1000000000 |
27 | 154 | equemene | |
28 | 154 | equemene | #ifdef LONG
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29 | 154 | equemene | #define LENGTH long long |
30 | 154 | equemene | #else
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31 | 154 | equemene | #define LENGTH int |
32 | 154 | equemene | #endif
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33 | 154 | equemene | |
34 | 154 | equemene | LENGTH MainLoopGlobal(LENGTH iterations,unsigned int seed_w,unsigned int seed_z) |
35 | 154 | equemene | { |
36 | 154 | equemene | #if defined TCONG
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37 | 154 | equemene | unsigned int jcong=seed_z; |
38 | 154 | equemene | #elif defined TSHR3
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39 | 154 | equemene | unsigned int jsr=seed_w; |
40 | 154 | equemene | #elif defined TMWC
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41 | 154 | equemene | unsigned int z=seed_z; |
42 | 154 | equemene | unsigned int w=seed_w; |
43 | 154 | equemene | #elif defined TKISS
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44 | 154 | equemene | unsigned int jcong=seed_z; |
45 | 154 | equemene | unsigned int jsr=seed_w; |
46 | 154 | equemene | unsigned int z=seed_z; |
47 | 154 | equemene | unsigned int w=seed_w; |
48 | 154 | equemene | #endif
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49 | 154 | equemene | |
50 | 154 | equemene | LENGTH total=0,i;
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51 | 154 | equemene | unsigned long inside; |
52 | 154 | equemene | |
53 | 154 | equemene | for (i=0;i<iterations;i++) { |
54 | 154 | equemene | |
55 | 154 | equemene | #if defined TINT32
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56 | 154 | equemene | #define THEONE 1073741824 |
57 | 154 | equemene | #if defined TCONG
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58 | 154 | equemene | unsigned int x=CONG>>17 ; |
59 | 154 | equemene | unsigned int y=CONG>>17 ; |
60 | 154 | equemene | #elif defined TSHR3
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61 | 154 | equemene | unsigned int x=SHR3>>17 ; |
62 | 154 | equemene | unsigned int y=SHR3>>17 ; |
63 | 154 | equemene | #elif defined TMWC
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64 | 154 | equemene | unsigned int x=MWC>>17 ; |
65 | 154 | equemene | unsigned int y=MWC>>17 ; |
66 | 154 | equemene | #elif defined TKISS
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67 | 154 | equemene | unsigned int x=KISS>>17 ; |
68 | 154 | equemene | unsigned int y=KISS>>17 ; |
69 | 154 | equemene | #endif
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70 | 154 | equemene | #elif defined TINT64
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71 | 154 | equemene | #define THEONE 4611686018427387904 |
72 | 154 | equemene | #if defined TCONG
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73 | 154 | equemene | unsigned long x=(unsigned long)(CONG>>1) ; |
74 | 154 | equemene | unsigned long y=(unsigned long)(CONG>>1) ; |
75 | 154 | equemene | #elif defined TSHR3
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76 | 154 | equemene | unsigned long x=(unsigned long)(SHR3>>1) ; |
77 | 154 | equemene | unsigned long y=(unsigned long)(SHR3>>1) ; |
78 | 154 | equemene | #elif defined TMWC
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79 | 154 | equemene | unsigned long x=(unsigned long)(MWC>>1) ; |
80 | 154 | equemene | unsigned long y=(unsigned long)(MWC>>1) ; |
81 | 154 | equemene | #elif defined TKISS
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82 | 154 | equemene | unsigned long x=(unsigned long)(KISS>>1) ; |
83 | 154 | equemene | unsigned long y=(unsigned long)(KISS>>1) ; |
84 | 154 | equemene | #endif
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85 | 154 | equemene | #elif defined TFP32
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86 | 154 | equemene | #define THEONE 1.0f |
87 | 154 | equemene | #if defined TCONG
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88 | 154 | equemene | float x=CONGfp ;
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89 | 154 | equemene | float y=CONGfp ;
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90 | 154 | equemene | #elif defined TSHR3
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91 | 154 | equemene | float x=SHR3fp ;
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92 | 154 | equemene | float y=SHR3fp ;
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93 | 154 | equemene | #elif defined TMWC
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94 | 154 | equemene | float x=MWCfp ;
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95 | 154 | equemene | float y=MWCfp ;
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96 | 154 | equemene | #elif defined TKISS
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97 | 154 | equemene | float x=KISSfp ;
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98 | 154 | equemene | float y=KISSfp ;
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99 | 154 | equemene | #endif
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100 | 154 | equemene | #elif defined TFP64
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101 | 154 | equemene | #define THEONE 1.0f |
102 | 154 | equemene | #if defined TCONG
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103 | 154 | equemene | double x=(double)CONGfp ; |
104 | 154 | equemene | double y=(double)CONGfp ; |
105 | 154 | equemene | #elif defined TSHR3
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106 | 154 | equemene | double x=(double)SHR3fp ; |
107 | 154 | equemene | double y=(double)SHR3fp ; |
108 | 154 | equemene | #elif defined TMWC
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109 | 154 | equemene | double x=(double)MWCfp ; |
110 | 154 | equemene | double y=(double)MWCfp ; |
111 | 154 | equemene | #elif defined TKISS
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112 | 154 | equemene | double x=(double)KISSfp ; |
113 | 154 | equemene | double y=(double)KISSfp ; |
114 | 154 | equemene | #endif
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115 | 154 | equemene | #endif
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116 | 154 | equemene | |
117 | 154 | equemene | inside=((x*x+y*y) < THEONE) ? 1:0; |
118 | 154 | equemene | total+=inside; |
119 | 154 | equemene | } |
120 | 154 | equemene | |
121 | 154 | equemene | return(total);
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122 | 154 | equemene | } |
123 | 154 | equemene | |
124 | 154 | equemene | int main(int argc, char *argv[]) { |
125 | 154 | equemene | |
126 | 154 | equemene | unsigned int seed_w=1010,seed_z=2008; |
127 | 154 | equemene | LENGTH iterations=ITERATIONS,inside=0;
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128 | 154 | equemene | |
129 | 154 | equemene | if (argc > 1) { |
130 | 154 | equemene | iterations=(LENGTH)atoll(argv[1]);
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131 | 154 | equemene | } |
132 | 154 | equemene | else {
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133 | 154 | equemene | printf("\n\tPi : Estimate Pi with Monte Carlo exploration\n\n");
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134 | 154 | equemene | printf("\t\t#1 : number of iterations (default 1 billion)\n");
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135 | 154 | equemene | } |
136 | 154 | equemene | |
137 | 154 | equemene | printf ("\n\tInformation about architecture:\n\n");
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138 | 154 | equemene | |
139 | 154 | equemene | printf ("\tSizeof int = %lld bytes.\n", (long long)sizeof(int)); |
140 | 154 | equemene | printf ("\tSizeof long = %lld bytes.\n", (long long)sizeof(long)); |
141 | 154 | equemene | printf ("\tSizeof long long = %lld bytes.\n\n", (long long)sizeof(long long)); |
142 | 154 | equemene | |
143 | 154 | equemene | printf ("\tMax int = %u\n", INT_MAX);
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144 | 154 | equemene | printf ("\tMax long = %ld\n", LONG_MAX);
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145 | 154 | equemene | printf ("\tMax long long = %lld\n\n", LLONG_MAX);
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146 | 154 | equemene | |
147 | 154 | equemene | inside=MainLoopGlobal(iterations,seed_w,seed_z); |
148 | 154 | equemene | |
149 | 154 | equemene | float pi=4.*(float)inside/(float)iterations; |
150 | 154 | equemene | |
151 | 154 | equemene | printf("\tPi=%f with error %f and %lld iterations\n\n",pi,
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152 | 154 | equemene | fabs(pi-4*atan(1))/pi,(long long)iterations); |
153 | 154 | equemene | |
154 | 154 | equemene | } |