diff options
Diffstat (limited to '3rdparty/mt19937ar')
-rw-r--r-- | 3rdparty/mt19937ar/mt19937ar.c | 175 | ||||
-rw-r--r-- | 3rdparty/mt19937ar/mt19937ar.h | 72 | ||||
-rw-r--r-- | 3rdparty/mt19937ar/mt19937ar.out | 403 | ||||
-rw-r--r-- | 3rdparty/mt19937ar/mtTest.c | 65 | ||||
-rw-r--r-- | 3rdparty/mt19937ar/readme-mt.txt | 79 |
5 files changed, 794 insertions, 0 deletions
diff --git a/3rdparty/mt19937ar/mt19937ar.c b/3rdparty/mt19937ar/mt19937ar.c new file mode 100644 index 000000000..211aefde9 --- /dev/null +++ b/3rdparty/mt19937ar/mt19937ar.c @@ -0,0 +1,175 @@ +/* + 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) + or init_by_array(init_key, key_length). + + Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura, + All rights reserved. + Copyright (C) 2005, Mutsuo Saito, + 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. + + + Any feedback is very welcome. + http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html + email: m-mat @ math.sci.hiroshima-u.ac.jp (remove space) +*/ + +#include <stdio.h> +#include "mt19937ar.h" + +/* Period parameters */ +#define N 624 +#define M 397 +#define MATRIX_A 0x9908b0dfUL /* constant vector a */ +#define UPPER_MASK 0x80000000UL /* most significant w-r bits */ +#define LOWER_MASK 0x7fffffffUL /* least significant r bits */ + +static unsigned long mt[N]; /* the array for the state vector */ +static int mti=N+1; /* mti==N+1 means mt[N] is not initialized */ + +/* initializes mt[N] with a seed */ +void init_genrand(unsigned long s) +{ + mt[0]= s & 0xffffffffUL; + for (mti=1; mti<N; mti++) { + mt[mti] = + (1812433253UL * (mt[mti-1] ^ (mt[mti-1] >> 30)) + mti); + /* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */ + /* In the previous versions, MSBs of the seed affect */ + /* only MSBs of the array mt[]. */ + /* 2002/01/09 modified by Makoto Matsumoto */ + mt[mti] &= 0xffffffffUL; + /* for >32 bit machines */ + } +} + +/* initialize by an array with array-length */ +/* init_key is the array for initializing keys */ +/* key_length is its length */ +/* slight change for C++, 2004/2/26 */ +void init_by_array(unsigned long init_key[], int key_length) +{ + int i, j, k; + init_genrand(19650218UL); + i=1; j=0; + k = (N>key_length ? N : key_length); + for (; k; k--) { + mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1664525UL)) + + init_key[j] + j; /* non linear */ + mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */ + i++; j++; + if (i>=N) { mt[0] = mt[N-1]; i=1; } + if (j>=key_length) j=0; + } + for (k=N-1; k; k--) { + mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1566083941UL)) + - i; /* non linear */ + mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */ + i++; + if (i>=N) { mt[0] = mt[N-1]; i=1; } + } + + mt[0] = 0x80000000UL; /* MSB is 1; assuring non-zero initial array */ +} + +/* generates a random number on [0,0xffffffff]-interval */ +unsigned long genrand_int32(void) +{ + unsigned long y; + static unsigned long mag01[2]={0x0UL, MATRIX_A}; + /* mag01[x] = x * MATRIX_A for x=0,1 */ + + if (mti >= N) { /* generate N words at one time */ + int kk; + + if (mti == N+1) /* if init_genrand() has not been called, */ + init_genrand(5489UL); /* a default initial seed is used */ + + for (kk=0;kk<N-M;kk++) { + y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK); + mt[kk] = mt[kk+M] ^ (y >> 1) ^ mag01[y & 0x1UL]; + } + for (;kk<N-1;kk++) { + y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK); + mt[kk] = mt[kk+(M-N)] ^ (y >> 1) ^ mag01[y & 0x1UL]; + } + y = (mt[N-1]&UPPER_MASK)|(mt[0]&LOWER_MASK); + mt[N-1] = mt[M-1] ^ (y >> 1) ^ mag01[y & 0x1UL]; + + mti = 0; + } + + y = mt[mti++]; + + /* Tempering */ + y ^= (y >> 11); + y ^= (y << 7) & 0x9d2c5680UL; + y ^= (y << 15) & 0xefc60000UL; + y ^= (y >> 18); + + return y; +} + +/* generates a random number on [0,0x7fffffff]-interval */ +long genrand_int31(void) +{ + return (long)(genrand_int32()>>1); +} + +/* generates a random number on [0,1]-real-interval */ +double genrand_real1(void) +{ + return genrand_int32()*(1.0/4294967295.0); + /* divided by 2^32-1 */ +} + +/* generates a random number on [0,1)-real-interval */ +double genrand_real2(void) +{ + return genrand_int32()*(1.0/4294967296.0); + /* divided by 2^32 */ +} + +/* generates a random number on (0,1)-real-interval */ +double genrand_real3(void) +{ + return (((double)genrand_int32()) + 0.5)*(1.0/4294967296.0); + /* divided by 2^32 */ +} + +/* generates a random number on [0,1) with 53-bit resolution*/ +double genrand_res53(void) +{ + unsigned long a=genrand_int32()>>5, b=genrand_int32()>>6; + return(a*67108864.0+b)*(1.0/9007199254740992.0); +} +/* These real versions are due to Isaku Wada, 2002/01/09 added */ diff --git a/3rdparty/mt19937ar/mt19937ar.h b/3rdparty/mt19937ar/mt19937ar.h new file mode 100644 index 000000000..8b98b8a5b --- /dev/null +++ b/3rdparty/mt19937ar/mt19937ar.h @@ -0,0 +1,72 @@ +/* + 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) + or init_by_array(init_key, key_length). + + Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura, + All rights reserved. + Copyright (C) 2005, Mutsuo Saito + 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. + + + Any feedback is very welcome. + http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html + email: m-mat @ math.sci.hiroshima-u.ac.jp (remove space) +*/ + +/* initializes mt[N] with a seed */ +void init_genrand(unsigned long s); + +/* initialize by an array with array-length */ +/* init_key is the array for initializing keys */ +/* key_length is its length */ +/* slight change for C++, 2004/2/26 */ +void init_by_array(unsigned long init_key[], int key_length); + +/* generates a random number on [0,0xffffffff]-interval */ +unsigned long genrand_int32(void); + +/* generates a random number on [0,0x7fffffff]-interval */ +long genrand_int31(void); + +/* These real versions are due to Isaku Wada, 2002/01/09 added */ +/* generates a random number on [0,1]-real-interval */ +double genrand_real1(void); + +/* generates a random number on [0,1)-real-interval */ +double genrand_real2(void); + +/* generates a random number on (0,1)-real-interval */ +double genrand_real3(void); + +/* generates a random number on [0,1) with 53-bit resolution*/ +double genrand_res53(void); diff --git a/3rdparty/mt19937ar/mt19937ar.out b/3rdparty/mt19937ar/mt19937ar.out new file mode 100644 index 000000000..47abd073e --- /dev/null +++ b/3rdparty/mt19937ar/mt19937ar.out @@ -0,0 +1,403 @@ +1000 outputs of genrand_int32() +1067595299 955945823 477289528 4107218783 4228976476 +3344332714 3355579695 227628506 810200273 2591290167 +2560260675 3242736208 646746669 1479517882 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0.08719954 0.63497059 0.54328459 +0.64178757 0.45583809 0.70694291 0.85212760 0.86074305 +0.33163422 0.85739792 0.59908488 0.74566046 0.72157152 diff --git a/3rdparty/mt19937ar/mtTest.c b/3rdparty/mt19937ar/mtTest.c new file mode 100644 index 000000000..b27406802 --- /dev/null +++ b/3rdparty/mt19937ar/mtTest.c @@ -0,0 +1,65 @@ +/* + 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) + or init_by_array(init_key, key_length). + + Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura, + All rights reserved. + Copyright (C) 2005, Mutsuo Saito, + 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. + + + Any feedback is very welcome. + http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html + email: m-mat @ math.sci.hiroshima-u.ac.jp (remove space) +*/ + +#include <stdio.h> +#include "mt19937ar.h" + +int main(void) +{ + int i; + unsigned long init[4]={0x123, 0x234, 0x345, 0x456}, length=4; + init_by_array(init, length); + printf("1000 outputs of genrand_int32()\n"); + for (i=0; i<1000; i++) { + printf("%10lu ", genrand_int32()); + if (i%5==4) printf("\n"); + } + printf("\n1000 outputs of genrand_real2()\n"); + for (i=0; i<1000; i++) { + printf("%10.8f ", genrand_real2()); + if (i%5==4) printf("\n"); + } + return 0; +} diff --git a/3rdparty/mt19937ar/readme-mt.txt b/3rdparty/mt19937ar/readme-mt.txt new file mode 100644 index 000000000..2d4c2e8a2 --- /dev/null +++ b/3rdparty/mt19937ar/readme-mt.txt @@ -0,0 +1,79 @@ +This is a Mersenne Twister pseudorandom number generator +with period 2^19937-1 with improved initialization scheme, +modified on 2002/1/26 by Takuji Nishimura and Makoto Matsumoto. +modified on 2005/4/26 by Mutsuo Saito + +Contents of this tar ball: +readme-mt.txt this file +mt19937ar.c the C source (ar: initialize by ARray) +mt19937ar.h the C header file for mt19937ar +mtTest.c the C test main program of mt19937ar.c +mt19937ar.out Test outputs of six types generators. 1000 for each + +1. Initialization + The initialization scheme for the previous versions of MT +(e.g. 1999/10/28 version or earlier) has a tiny problem, that +the most significant bits of the seed is not well reflected +to the state vector of MT. + +This version (2002/1/26) has two initialization schemes: +init_genrand(seed) and init_by_array(init_key, key_length). + +init_genrand(seed) initializes the state vector by using +one unsigned 32-bit integer "seed", which may be zero. + +init_by_array(init_key, key_length) initializes the state vector +by using an array init_key[] of unsigned 32-bit integers +of length key_kength. If key_length is smaller than 624, +then each array of 32-bit integers gives distinct initial +state vector. This is useful if you want a larger seed space +than 32-bit word. + +2. Generation +After initialization, the following type of pseudorandom numbers +are available. + +genrand_int32() generates unsigned 32-bit integers. +genrand_int31() generates unsigned 31-bit integers. +genrand_real1() generates uniform real in [0,1] (32-bit resolution). +genrand_real2() generates uniform real in [0,1) (32-bit resolution). +genrand_real3() generates uniform real in (0,1) (32-bit resolution). +genrand_res53() generates uniform real in [0,1) with 53-bit resolution. + +Note: the last five functions call the first one. +if you need more speed for these five functions, you may +suppress the function call by copying genrand_int32() and +replacing the last return(), following to these five functions. + +3. main() +main() is an example to initialize with an array of length 4, +then 1000 outputs of unsigned 32-bit integers, +then 1000 outputs of real [0,1) numbers. + +4. The outputs +The output of the mt19937ar.c is in the file mt19937ar.out. +If you revise or translate the code, check the output +by using this file. + +5. Cryptography +This generator is not cryptoraphically secure. +You need to use a one-way (or hash) function to obtain +a secure random sequence. + +6. Correspondence +See: +URL http://www.math.keio.ac.jp/matumoto/emt.html +email matumoto@math.keio.ac.jp, nisimura@sci.kj.yamagata-u.ac.jp + +7. Reference +M. Matsumoto and T. Nishimura, +"Mersenne Twister: A 623-Dimensionally Equidistributed Uniform +Pseudo-Random Number Generator", +ACM Transactions on Modeling and Computer Simulation, +Vol. 8, No. 1, January 1998, pp 3--30. + +------- +Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura, +All rights reserved. +Copyright (C) 2005, Mutsuo Saito +All rights reserved. |