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] = |
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67 | (1812433253UL * (mt[mti-1] ^ (mt[mti-1] >> 30)) + mti); |
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68 | /* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */ |
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69 | /* In the previous versions, MSBs of the seed affect */ |
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70 | /* only MSBs of the array mt[]. */ |
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71 | /* 2002/01/09 modified by Makoto Matsumoto */ |
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72 | mt[mti] &= 0xffffffffUL; |
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73 | /* for >32 bit machines */ |
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74 | } |
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75 | } |
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76 | |
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77 | /* initialize by an array with array-length */ |
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78 | /* init_key is the array for initializing keys */ |
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79 | /* key_length is its length */ |
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80 | /* slight change for C++, 2004/2/26 */ |
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81 | void init_by_array(unsigned long init_key[], int key_length) |
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82 | { |
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83 | int i, j, k; |
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84 | //init_genrand(19650218UL); |
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85 | init_genrand(global_seed); |
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86 | i=1; 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)) |
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90 | + init_key[j] + j; /* non linear */ |
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91 | mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */ |
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92 | i++; j++; |
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93 | if (i>=N) { mt[0] = mt[N-1]; i=1; } |
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94 | if (j>=key_length) j=0; |
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95 | } |
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96 | for (k=N-1; k; k--) { |
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97 | mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1566083941UL)) |
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98 | - i; /* non linear */ |
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99 | mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */ |
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100 | i++; |
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101 | if (i>=N) { mt[0] = mt[N-1]; i=1; } |
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102 | } |
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103 | |
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104 | mt[0] = 0x80000000UL; /* MSB is 1; assuring non-zero initial array */ |
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105 | } |
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106 | |
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107 | /* generates a random number on [0,0xffffffff]-interval */ |
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108 | unsigned long genrand_int32(void) |
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109 | { |
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110 | unsigned long y; |
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111 | static unsigned long mag01[2]={0x0UL, MATRIX_A}; |
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112 | /* mag01[x] = x * MATRIX_A for x=0,1 */ |
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113 | |
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114 | if (mti >= N) { /* generate N words at one time */ |
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115 | int kk; |
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116 | |
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117 | if (mti == N+1) /* if init_genrand() has not been called, */ |
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118 | //init_genrand(5489UL); /* a default initial seed is used */ |
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119 | init_genrand(global_seed); |
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120 | |
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121 | for (kk=0;kk<N-M;kk++) { |
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122 | y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK); |
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123 | mt[kk] = mt[kk+M] ^ (y >> 1) ^ mag01[y & 0x1UL]; |
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124 | } |
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125 | for (;kk<N-1;kk++) { |
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126 | y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK); |
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127 | mt[kk] = mt[kk+(M-N)] ^ (y >> 1) ^ mag01[y & 0x1UL]; |
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128 | } |
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129 | y = (mt[N-1]&UPPER_MASK)|(mt[0]&LOWER_MASK); |
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130 | mt[N-1] = mt[M-1] ^ (y >> 1) ^ mag01[y & 0x1UL]; |
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131 | |
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132 | mti = 0; |
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133 | } |
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134 | |
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135 | y = mt[mti++]; |
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136 | |
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137 | /* Tempering */ |
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138 | y ^= (y >> 11); |
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139 | y ^= (y << 7) & 0x9d2c5680UL; |
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140 | y ^= (y << 15) & 0xefc60000UL; |
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141 | y ^= (y >> 18); |
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142 | |
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143 | return y; |
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144 | } |
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145 | |
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146 | /* generates a random number on [0,0x7fffffff]-interval */ |
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147 | long genrand_int31(void) |
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148 | { |
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149 | return (long)(genrand_int32()>>1); |
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150 | } |
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151 | |
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152 | /* generates a random number on [0,1]-real-interval */ |
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153 | double genrand_real1(void) |
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154 | { |
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155 | return genrand_int32()*(1.0/4294967295.0); |
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156 | /* divided by 2^32-1 */ |
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157 | } |
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158 | |
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159 | /* generates a random number on [0,1)-real-interval */ |
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160 | double genrand_real2(void) |
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161 | { |
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162 | return genrand_int32()*(1.0/4294967296.0); |
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163 | /* divided by 2^32 */ |
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164 | } |
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165 | |
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166 | /* generates a random number on (0,1)-real-interval */ |
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167 | double genrand_real3(void) |
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168 | { |
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169 | return (((double)genrand_int32()) + 0.5)*(1.0/4294967296.0); |
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170 | /* divided by 2^32 */ |
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171 | } |
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172 | |
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173 | /* generates a random number on [0,1) with 53-bit resolution*/ |
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174 | double genrand_res53(void) |
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175 | { |
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176 | unsigned long a=genrand_int32()>>5, b=genrand_int32()>>6; |
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177 | return(a*67108864.0+b)*(1.0/9007199254740992.0); |
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178 | } |
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179 | /* These real versions are due to Isaku Wada, 2002/01/09 added */ |
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180 | |
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181 | int test_mt19937(void) |
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182 | { |
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183 | int i; |
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184 | unsigned long init[4]={0x123, 0x234, 0x345, 0x456}, length=4; |
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185 | init_by_array(init, length); |
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186 | printf("1000 outputs of genrand_int32()\n"); |
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187 | for (i=0; i<1000; i++) { |
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188 | printf("%10lu ", genrand_int32()); |
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189 | if (i%5==4) printf("\n"); |
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190 | } |
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191 | printf("\n1000 outputs of genrand_real2()\n"); |
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192 | for (i=0; i<1000; i++) { |
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193 | printf("%10.8f ", genrand_real2()); |
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194 | if (i%5==4) printf("\n"); |
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195 | } |
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196 | return 0; |
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197 | } |
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