1 | /* |
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2 | A C-program for MT19937, with initialization improved 2002/1/26. |
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3 | Coded by Takuji Nishimura and Makoto Matsumoto. |
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4 | |
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5 | Before using, initialize the state by using init_genrand(seed) |
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6 | or init_by_array(init_key, key_length). |
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7 | |
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8 | Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura, |
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9 | All rights reserved. |
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10 | |
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11 | Redistribution and use in source and binary forms, with or without |
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12 | modification, are permitted provided that the following conditions |
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13 | are met: |
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14 | |
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15 | 1. Redistributions of source code must retain the above copyright |
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16 | notice, this list of conditions and the following disclaimer. |
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17 | |
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18 | 2. Redistributions in binary form must reproduce the above copyright |
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19 | notice, this list of conditions and the following disclaimer in the |
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20 | documentation and/or other materials provided with the distribution. |
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21 | |
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22 | 3. The names of its contributors may not be used to endorse or promote |
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23 | products derived from this software without specific prior written |
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24 | permission. |
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25 | |
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26 | THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
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27 | "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
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28 | LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR |
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29 | A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR |
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30 | CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, |
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31 | EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, |
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32 | PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR |
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33 | PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF |
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34 | LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING |
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35 | NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS |
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36 | SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
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37 | |
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38 | |
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39 | Any feedback is very welcome. |
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40 | http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html |
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41 | email: m-mat @ math.sci.hiroshima-u.ac.jp (remove space) |
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42 | */ |
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43 | |
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44 | #include <stdio.h> |
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45 | |
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46 | #include "nrc_os_config.h" |
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47 | |
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48 | /* Period parameters */ |
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49 | #define N 624 |
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50 | #define M 397 |
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51 | #define MATRIX_A 0x9908b0dfUL /* constant vector a */ |
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52 | #define UPPER_MASK 0x80000000UL /* most significant w-r bits */ |
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53 | #define LOWER_MASK 0x7fffffffUL /* least significant r bits */ |
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54 | |
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55 | static unsigned long mt[N]; /* the array for the state vector */ |
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56 | static int mti = N + 1 ; /* mti==N+1 means mt[N] is not initialized */ |
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57 | |
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58 | static int global_seed; |
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59 | |
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60 | /* initializes mt[N] with a seed */ |
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61 | void init_genrand(unsigned long s) |
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62 | { |
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63 | mt[0] = s & 0xffffffffUL; |
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64 | global_seed = s; // modif LL |
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65 | for (mti = 1; mti < N; mti++) { |
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66 | mt[mti] = (1812433253UL * (mt[mti - 1] ^ (mt[mti - 1] >> 30)) + mti); |
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67 | /* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */ |
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68 | /* In the previous versions, MSBs of the seed affect */ |
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69 | /* only MSBs of the array mt[]. */ |
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70 | /* 2002/01/09 modified by Makoto Matsumoto */ |
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71 | mt[mti] &= 0xffffffffUL; |
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72 | /* for >32 bit machines */ |
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73 | } |
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74 | } |
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75 | |
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76 | /* initialize by an array with array-length */ |
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77 | /* init_key is the array for initializing keys */ |
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78 | /* key_length is its length */ |
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79 | /* slight change for C++, 2004/2/26 */ |
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80 | void init_by_array(unsigned long init_key[], int key_length) |
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81 | { |
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82 | int i, j, k; |
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83 | //init_genrand(19650218UL); |
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84 | init_genrand(global_seed); |
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85 | i = 1; |
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86 | j = 0; |
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87 | k = (N > key_length ? N : key_length); |
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88 | for (; k; k--) { |
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89 | mt[i] = (mt[i] ^ ((mt[i - 1] ^ (mt[i - 1] >> 30)) * 1664525UL)) + init_key[j] + j; /* non linear */ |
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90 | mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */ |
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91 | i++; |
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92 | j++; |
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93 | if (i >= N) { |
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94 | mt[0] = mt[N - 1]; |
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95 | i = 1; |
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96 | } |
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97 | if (j >= key_length) { |
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98 | j = 0; |
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99 | } |
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100 | } |
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101 | for (k = N - 1; k; k--) { |
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102 | mt[i] = (mt[i] ^ ((mt[i - 1] ^ (mt[i - 1] >> 30)) * 1566083941UL)) - i; /* non linear */ |
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103 | mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */ |
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104 | i++; |
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105 | if (i >= N) { |
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106 | mt[0] = mt[N - 1]; |
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107 | i = 1; |
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108 | } |
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109 | } |
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110 | |
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111 | mt[0] = 0x80000000UL; /* MSB is 1; assuring non-zero initial array */ |
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112 | } |
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113 | |
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114 | /* generates a random number on [0,0xffffffff]-interval */ |
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115 | unsigned long genrand_int32(void) |
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116 | { |
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117 | unsigned long y; |
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118 | static unsigned long mag01[2] = {0x0UL, MATRIX_A}; |
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119 | /* mag01[x] = x * MATRIX_A for x=0,1 */ |
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120 | |
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121 | if (mti >= N) { /* generate N words at one time */ |
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122 | int kk; |
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123 | |
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124 | if (mti == N + 1) { /* if init_genrand() has not been called, */ |
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125 | //init_genrand(5489UL); /* a default initial seed is used */ |
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126 | init_genrand(global_seed); |
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127 | } |
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128 | |
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129 | for (kk = 0;kk < N - M; kk++) { |
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130 | y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK); |
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131 | mt[kk] = mt[kk + M] ^ (y >> 1) ^ mag01[y & 0x1UL]; |
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132 | } |
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133 | for (; kk < N - 1; kk++) { |
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134 | y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK); |
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135 | mt[kk] = mt[kk + (M - N)] ^ (y >> 1) ^ mag01[y & 0x1UL]; |
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136 | } |
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137 | y = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK); |
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138 | mt[N - 1] = mt[M - 1] ^ (y >> 1) ^ mag01[y & 0x1UL]; |
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139 | |
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140 | mti = 0; |
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141 | } |
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142 | |
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143 | y = mt[mti++]; |
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144 | |
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145 | /* Tempering */ |
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146 | y ^= (y >> 11); |
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147 | y ^= (y << 7) & 0x9d2c5680UL; |
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148 | y ^= (y << 15) & 0xefc60000UL; |
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149 | y ^= (y >> 18); |
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150 | |
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151 | return y; |
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152 | } |
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153 | |
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154 | /* generates a random number on [0,0x7fffffff]-interval */ |
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155 | long genrand_int31(void) |
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156 | { |
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157 | return (long) (genrand_int32() >> 1); |
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158 | } |
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159 | |
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160 | /* generates a random number on [0,1]-real-interval */ |
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161 | double genrand_real1(void) |
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162 | { |
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163 | return genrand_int32() * (1.0 / 4294967295.0); |
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164 | /* divided by 2^32-1 */ |
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165 | } |
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166 | |
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167 | /* generates a random number on [0,1)-real-interval */ |
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168 | double genrand_real2(void) |
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169 | { |
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170 | return genrand_int32() * (1.0 / 4294967296.0); |
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171 | /* divided by 2^32 */ |
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172 | } |
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173 | |
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174 | /* generates a random number on (0,1)-real-interval */ |
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175 | double genrand_real3(void) |
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176 | { |
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177 | return (((double) genrand_int32()) + 0.5) * (1.0 / 4294967296.0); |
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178 | /* divided by 2^32 */ |
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179 | } |
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180 | |
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181 | /* generates a random number on [0,1) with 53-bit resolution*/ |
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182 | double genrand_res53(void) |
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183 | { |
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184 | unsigned long a = genrand_int32() >> 5, b = genrand_int32() >> 6; |
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185 | return (a * 67108864.0 + b) * (1.0 / 9007199254740992.0); |
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186 | } |
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187 | /* These real versions are due to Isaku Wada, 2002/01/09 added */ |
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188 | |
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189 | int test_mt19937(void) |
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190 | { |
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191 | int i; |
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192 | unsigned long init[4] = {0x123, 0x234, 0x345, 0x456}, length = 4; |
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193 | init_by_array(init, length); |
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194 | printf("1000 outputs of genrand_int32()\n"); |
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195 | for (i = 0; i < 1000; i++) { |
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196 | printf("%10lu ", genrand_int32()); |
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197 | if (i % 5 == 4) { |
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198 | printf("\n"); |
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199 | } |
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200 | } |
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201 | printf("\n1000 outputs of genrand_real2()\n"); |
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202 | for (i = 0; i < 1000; i++) { |
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203 | printf("%10.8f ", genrand_real2()); |
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204 | if (i % 5 == 4) { |
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205 | printf("\n"); |
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206 | } |
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207 | } |
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208 | return 0; |
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209 | } |
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210 | |
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211 | |
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212 | // Local Variables: |
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213 | // tab-width: 4 |
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214 | // c-basic-offset: 4 |
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215 | // c-file-offsets:((innamespace . 0)(inline-open . 0)) |
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216 | // indent-tabs-mode: nil |
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217 | // End: |
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218 | |
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219 | // vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=4:softtabstop=4 |
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220 | |
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