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286 lines
9.2 KiB
C++
286 lines
9.2 KiB
C++
#include "DRRandom.h"
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#include "Obfus_array.h"
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/* This program by D E Knuth is in the public domain and freely copyable.
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* It is explained in Seminumerical Algorithms, 3rd edition, Section 3.6
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* (or in the errata to the 2nd edition --- see
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* http://www-cs-faculty.stanford.edu/~knuth/taocp.html
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* in the changes to Volume 2 on pages 171 and following). */
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/* N.B. The MODIFICATIONS introduced in the 9th printing (2002) are
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included here; there's no backwards compatibility with the original. */
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/* This version also adopts Brendan McKay's suggestion to
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accommodate naive users who forget to call ran_start(seed). */
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/* If you find any bugs, please report them immediately to
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* taocp@cs.stanford.edu
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* (and you will be rewarded if the bug is genuine). Thanks! */
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/************ see the book for explanations and caveats! *******************/
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/************ in particular, you need two's complement arithmetic **********/
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// Random-Array
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#define KK 100 /* the long lag */
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#define LL 37 /* the short lag */
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#define MM (1L<<30) /* the modulus */
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#define mod_diff(x,y) (((x)-(y))&(MM-1)) /* subtraction mod MM */
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#define mod_sum(x,y) (((x)+(y))-(int)((x)+(y))) /* (x+y) mod 1.0 */
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#ifndef __STDC__
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#define __STDC__
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#endif
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long ran_x[KK]; /* the generator state */
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double ran_u[KK]; /* the generator state */
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#ifdef __STDC__
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void ran_array(long aa[],int n)
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#else
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void ran_array(aa,n) /* put n new random numbers in aa */
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long *aa; /* destination */
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int n; /* array length (must be at least KK) */
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#endif
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{
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register int i,j;
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DISASM_MISALIGN;
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for (j=0;j<KK;j++) aa[j]=ran_x[j];
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for (;j<n;j++) aa[j]=mod_diff(aa[j-KK],aa[j-LL]);
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for (i=0;i<LL;i++,j++) ran_x[i]=mod_diff(aa[j-KK],aa[j-LL]);
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for (;i<KK;i++,j++) ran_x[i]=mod_diff(aa[j-KK],ran_x[i-LL]);
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}
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/* the following routines are from exercise 3.6--15 */
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/* after calling ran_start, get new randoms by, e.g., "x=ran_arr_next()" */
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#define QUALITY 1009 /* recommended quality level for high-res use */
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long ran_arr_buf[QUALITY];
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long ran_arr_dummy=-1, ran_arr_started=-1;
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long *ran_arr_ptr=&ran_arr_dummy; /* the next random number, or -1 */
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#define TT 70 /* guaranteed separation between streams */
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#define is_odd(x) ((x)&1) /* units bit of x */
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#ifdef __STDC__
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void ran_start(long seed)
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#else
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void ran_start(seed) /* do this before using ran_array */
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long seed; /* selector for different streams */
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#endif
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{
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register int t,j;
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long x[KK+KK-1]; /* the preparation buffer */
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register long ss=(seed+2)&(MM-2);
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for (j=0;j<KK;j++) {
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x[j]=ss; /* bootstrap the buffer */
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ss<<=1; if (ss>=MM) ss-=MM-2; /* cyclic shift 29 bits */
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}
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x[1]++; /* make x[1] (and only x[1]) odd */
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for (ss=seed&(MM-1),t=TT-1; t; ) {
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for (j=KK-1;j>0;j--) x[j+j]=x[j], x[j+j-1]=0; /* "square" */
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for (j=KK+KK-2;j>=KK;j--)
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x[j-(KK-LL)]=mod_diff(x[j-(KK-LL)],x[j]),
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x[j-KK]=mod_diff(x[j-KK],x[j]);
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if (is_odd(ss)) { /* "multiply by z" */
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for (j=KK;j>0;j--) x[j]=x[j-1];
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x[0]=x[KK]; /* shift the buffer cyclically */
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x[LL]=mod_diff(x[LL],x[KK]);
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}
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if (ss) ss>>=1; else t--;
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}
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DISASM_MISALIGN;
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for (j=0;j<LL;j++) ran_x[j+KK-LL]=x[j];
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for (;j<KK;j++) ran_x[j-LL]=x[j];
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for (j=0;j<10;j++) ran_array(x,KK+KK-1); /* warm things up */
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ran_arr_ptr=&ran_arr_started;
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}
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#define ran_arr_next() (*ran_arr_ptr>=0? *ran_arr_ptr++: ran_arr_cycle())
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long ran_arr_cycle()
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{
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if (ran_arr_ptr==&ran_arr_dummy)
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ran_start(314159L); /* the user forgot to initialize */
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ran_array(ran_arr_buf,QUALITY);
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ran_arr_buf[KK]=-1;
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ran_arr_ptr=ran_arr_buf+1;
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return ran_arr_buf[0];
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}
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// **************************************************************************************************************
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// **************************************************************************************************************
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// Random-Float Array
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#ifdef __STDC__
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void ranf_array(double aa[], int n)
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#else
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void ranf_array(aa,n) /* put n new random fractions in aa */
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double *aa; /* destination */
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int n; /* array length (must be at least KK) */
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#endif
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{
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register int i,j;
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DISASM_MISALIGN;
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for (j=0;j<KK;j++) aa[j]=ran_u[j];
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for (;j<n;j++) aa[j]=mod_sum(aa[j-KK],aa[j-LL]);
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for (i=0;i<LL;i++,j++) ran_u[i]=mod_sum(aa[j-KK],aa[j-LL]);
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for (;i<KK;i++,j++) ran_u[i]=mod_sum(aa[j-KK],ran_u[i-LL]);
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}
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/* the following routines are adapted from exercise 3.6--15 */
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/* after calling ranf_start, get new randoms by, e.g., "x=ranf_arr_next()" */
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//#define QUALITY 1009 /* recommended quality level for high-res use */
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double ranf_arr_buf[QUALITY];
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double ranf_arr_dummy=-1.0, ranf_arr_started=-1.0;
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double *ranf_arr_ptr=&ranf_arr_dummy; /* the next random fraction, or -1 */
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//#define TT 70 /* guaranteed separation between streams */
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//#define is_odd(s) ((s)&1)
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#ifdef __STDC__
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void ranf_start(long seed)
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#else
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void ranf_start(seed) /* do this before using ranf_array */
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long seed; /* selector for different streams */
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#endif
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{
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register int t,s,j;
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double u[KK+KK-1];
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double ulp=(1.0/(1L<<30))/(1L<<22); /* 2 to the -52 */
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double ss=2.0*ulp*((seed&0x3fffffff)+2);
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for (j=0;j<KK;j++) {
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u[j]=ss; /* bootstrap the buffer */
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ss+=ss; if (ss>=1.0) ss-=1.0-2*ulp; /* cyclic shift of 51 bits */
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}
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u[1]+=ulp; /* make u[1] (and only u[1]) "odd" */
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for (s=seed&0x3fffffff,t=TT-1; t; ) {
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for (j=KK-1;j>0;j--)
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u[j+j]=u[j],u[j+j-1]=0.0; /* "square" */
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for (j=KK+KK-2;j>=KK;j--) {
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u[j-(KK-LL)]=mod_sum(u[j-(KK-LL)],u[j]);
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u[j-KK]=mod_sum(u[j-KK],u[j]);
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}
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if (is_odd(s)) { /* "multiply by z" */
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for (j=KK;j>0;j--) u[j]=u[j-1];
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u[0]=u[KK]; /* shift the buffer cyclically */
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u[LL]=mod_sum(u[LL],u[KK]);
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}
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if (s) s>>=1; else t--;
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}
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for (j=0;j<LL;j++) ran_u[j+KK-LL]=u[j];
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for (;j<KK;j++) ran_u[j-LL]=u[j];
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for (j=0;j<10;j++) ranf_array(u,KK+KK-1); /* warm things up */
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ranf_arr_ptr=&ranf_arr_started;
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}
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#define ranf_arr_next() (*ranf_arr_ptr>=0? *ranf_arr_ptr++: ranf_arr_cycle())
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double ranf_arr_cycle()
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{
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if (ranf_arr_ptr==&ranf_arr_dummy)
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ranf_start(314159L); /* the user forgot to initialize */
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ranf_array(ranf_arr_buf,QUALITY);
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ranf_arr_buf[KK]=-1;
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ranf_arr_ptr=ranf_arr_buf+1;
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return ranf_arr_buf[0];
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}
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// **************************************************************************************************************
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// **************************************************************************************************************
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#ifndef u32
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typedef Poco::UInt32 u32;
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typedef Poco::UInt32 uint;
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#endif
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// XORshift Quelle: http://de.wikipedia.org/wiki/Xorshift
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u32 xorshift_x = 123456789;
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u32 xorshift_y = 362436069;
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u32 xorshift_z = 521288629;
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u32 xorshift_w = 88675123;
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u32 xorshift()
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{
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/* 32 Bit periodenlänge
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xorshiftSeed ^= xorshiftSeed << 13;
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xorshiftSeed ^= xorshiftSeed >> 17;
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xorshiftSeed ^= xorshiftSeed << 5;
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return xorshiftSeed;
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* */
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u32 t = xorshift_x ^ (xorshift_x << 11);
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xorshift_x = xorshift_y; xorshift_y = xorshift_z; xorshift_z = xorshift_w;
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xorshift_w ^= (xorshift_w >> 19) ^ t ^ (t >> 8);
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return xorshift_w;
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}
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void xorshift_seed(u32 seed)
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{
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xorshift_x = seed;
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xorshift();
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}
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// **************************************************************************************************************
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// **************************************************************************************************************
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// static vars
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long random_buffer[KK];
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uint rand_buffer_cursor = KK;
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double randomf_buffer[KK];
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uint randf_buffer_cursor = KK;
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//***************************************************************************************************************
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void DRRandom::seed(long seed)
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{
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//DRLog.writeToLog("[DRRandom::seed] seed reinit: %d\n", seed);
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ran_start(seed);
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xorshift_seed(seed);
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DISASM_FALSERET;
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rand_buffer_cursor = KK;
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seedf(seed);
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}
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void DRRandom::seedf(long seed)
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{
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ranf_start(seed);
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randf_buffer_cursor = KK;
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}
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long DRRandom::core2_rand()
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{
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// return xorshift();
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if(rand_buffer_cursor >= KK)
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{
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rand_buffer_cursor = 0;
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ran_array(random_buffer, KK);
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}
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NULLPAD_10;
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return random_buffer[rand_buffer_cursor++];
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}
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double DRRandom::core2_randf()
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{
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if(randf_buffer_cursor >= KK)
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{
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randf_buffer_cursor = 0;
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ranf_array(randomf_buffer, KK);
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}
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return randomf_buffer[randf_buffer_cursor++];
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}
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Poco::Int64 DRRandom::r64()
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{
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Poco::Int64 r1 = core2_rand();
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Poco::Int64 r2 = core2_rand();///*0x00000000ffffffff &*/ (core2_rand() << 8);
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//u64 r12 = r1 | (r2 << 8);
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//printf("r1: %lld, %llx, r2: %lld, %llx, r1|2: %lld, %llx\n", r1, r1, r2, r2, r12, r12);
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DISASM_FALSERET;
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return r1 | (r2 << 8);
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}
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double DRRandom::rDouble(double max, double min)
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{
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double value = core2_randf();
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//printf("rDouble: %f\n", value);
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return min + (max - min) * value;
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}
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int DRRandom::rInt(int max, int min)
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{
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return min + (core2_rand() % (max-min+1));
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} |