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| \chapter*{Appendix} | |
| \section*{Random numbers} | |
| \subsection*{32-bits version} | |
| \begin{verbatim} | |
| A C-program for MT19937, with initialization improved 2002/1/26. | |
| Coded by Takuji Nishimura and Makoto Matsumoto. | |
| Before using, initialize the state by using init_genrand(seed) | |
| Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura, | |
| All rights reserved. | |
| Redistribution and use in source and binary forms, with or without | |
| modification, are permitted provided that the following conditions | |
| are met: | |
| 1. Redistributions of source code must retain the above copyright | |
| notice, this list of conditions and the following disclaimer. | |
| 2. Redistributions in binary form must reproduce the above copyright | |
| notice, this list of conditions and the following disclaimer in the | |
| documentation and/or other materials provided with the distribution. | |
| 3. The names of its contributors may not be used to endorse or promote | |
| products derived from this software without specific prior written | |
| permission. | |
| THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | |
| "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | |
| LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR | |
| A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR | |
| CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, | |
| EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, | |
| PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR | |
| PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF | |
| LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING | |
| NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS | |
| SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. | |
| \end{verbatim} | |
| \subsection*{64-bits version} | |
| \begin{verbatim} | |
| A C-program for MT19937-64 (2004/9/29 version). | |
| Coded by Takuji Nishimura and Makoto Matsumoto. | |
| This is a 64-bit version of Mersenne Twister pseudorandom number | |
| generator. | |
| Before using, initialize the state by using init_genrand64(seed) | |
| Copyright (C) 2004, Makoto Matsumoto and Takuji Nishimura, | |
| All rights reserved. | |
| Redistribution and use in source and binary forms, with or without | |
| modification, are permitted provided that the following conditions | |
| are met: | |
| 1. Redistributions of source code must retain the above copyright | |
| notice, this list of conditions and the following disclaimer. | |
| 2. Redistributions in binary form must reproduce the above copyright | |
| notice, this list of conditions and the following disclaimer in the | |
| documentation and/or other materials provided with the distribution. | |
| 3. The names of its contributors may not be used to endorse or promote | |
| products derived from this software without specific prior written | |
| permission. | |
| THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | |
| "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | |
| LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR | |
| A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR | |
| CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, | |
| EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, | |
| PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR | |
| PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF | |
| LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING | |
| NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS | |
| SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. | |
| References: | |
| T. Nishimura, ``Tables of 64-bit Mersenne Twisters'' | |
| ACM Transactions on Modeling and | |
| Computer Simulation 10. (2000) 348--357. | |
| M. Matsumoto and T. Nishimura, | |
| ``Mersenne Twister: a 623-dimensionally equidistributed | |
| uniform pseudorandom number generator'' | |
| ACM Transactions on Modeling and | |
| Computer Simulation 8. (Jan. 1998) 3--30. | |
| \end{verbatim} | |