1 #include "FEATURE/uwin"
3 #if !_UWIN || _lib_random
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28 * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
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34 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
39 * This is derived from the Berkeley source:
40 * @(#)random.c 5.5 (Berkeley) 7/6/88
41 * It was reworked for the GNU C Library by Roland McGrath.
44 #define initstate ______initstate
45 #define random ______random
46 #define setstate ______setstate
47 #define srandom ______srandom
59 #if defined(__EXPORT__)
60 #define extern __EXPORT__
63 extern long int random();
67 /* An improved random number generation package. In addition to the standard
68 rand()/srand() like interface, this package also has a special state info
69 interface. The initstate() routine is called with a seed, an array of
70 bytes, and a count of how many bytes are being passed in; this array is
71 then initialized to contain information for random number generation with
72 that much state information. Good sizes for the amount of state
73 information are 32, 64, 128, and 256 bytes. The state can be switched by
74 calling the setstate() function with the same array as was initiallized
75 with initstate(). By default, the package runs with 128 bytes of state
76 information and generates far better random numbers than a linear
77 congruential generator. If the amount of state information is less than
78 32 bytes, a simple linear congruential R.N.G. is used. Internally, the
79 state information is treated as an array of longs; the zeroeth element of
80 the array is the type of R.N.G. being used (small integer); the remainder
81 of the array is the state information for the R.N.G. Thus, 32 bytes of
82 state information will give 7 longs worth of state information, which will
83 allow a degree seven polynomial. (Note: The zeroeth word of state
84 information also has some other information stored in it; see setstate
85 for details). The random number generation technique is a linear feedback
86 shift register approach, employing trinomials (since there are fewer terms
87 to sum up that way). In this approach, the least significant bit of all
88 the numbers in the state table will act as a linear feedback shift register,
89 and will have period 2^deg - 1 (where deg is the degree of the polynomial
90 being used, assuming that the polynomial is irreducible and primitive).
91 The higher order bits will have longer periods, since their values are
92 also influenced by pseudo-random carries out of the lower bits. The
93 total period of the generator is approximately deg*(2**deg - 1); thus
94 doubling the amount of state information has a vast influence on the
95 period of the generator. Note: The deg*(2**deg - 1) is an approximation
96 only good for large deg, when the period of the shift register is the
97 dominant factor. With deg equal to seven, the period is actually much
98 longer than the 7*(2**7 - 1) predicted by this formula. */
102 /* For each of the currently supported random number generators, we have a
103 break value on the amount of state information (you need at least thi
104 bytes of state info to support this random number generator), a degree for
105 the polynomial (actually a trinomial) that the R.N.G. is based on, and
106 separation between the two lower order coefficients of the trinomial. */
108 /* Linear congruential. */
114 /* x**7 + x**3 + 1. */
126 /* x**31 + x**3 + 1. */
139 /* Array versions of the above information to make code run faster.
140 Relies on fact that TYPE_i == i. */
142 #define MAX_TYPES 5 /* Max number of types above. */
144 static int degrees
[MAX_TYPES
] = { DEG_0
, DEG_1
, DEG_2
, DEG_3
, DEG_4
};
145 static int seps
[MAX_TYPES
] = { SEP_0
, SEP_1
, SEP_2
, SEP_3
, SEP_4
};
149 /* Initially, everything is set up as if from:
150 initstate(1, randtbl, 128);
151 Note that this initialization takes advantage of the fact that srandom
152 advances the front and rear pointers 10*rand_deg times, and hence the
153 rear pointer which starts at 0 will also end up at zero; thus the zeroeth
154 element of the state information, which contains info about the current
155 position of the rear pointer is just
156 (MAX_TYPES * (rptr - state)) + TYPE_3 == TYPE_3. */
158 static long int randtbl
[DEG_3
+ 1] =
161 -851904987, -43806228, -2029755270, 1390239686, -1912102820,
162 -485608943, 1969813258, -1590463333, -1944053249, 455935928, 508023712,
163 -1714531963, 1800685987, -2015299881, 654595283, -1149023258,
164 -1470005550, -1143256056, -1325577603, -1568001885, 1275120390,
165 -607508183, -205999574, -1696891592, 1492211999, -1528267240,
166 -952028296, -189082757, 362343714, 1424981831, 2039449641,
169 /* FPTR and RPTR are two pointers into the state info, a front and a rear
170 pointer. These two pointers are always rand_sep places aparts, as they
171 cycle through the state information. (Yes, this does mean we could get
172 away with just one pointer, but the code for random is more efficient
173 this way). The pointers are left positioned as they would be from the call:
174 initstate(1, randtbl, 128);
175 (The position of the rear pointer, rptr, is really 0 (as explained above
176 in the initialization of randtbl) because the state table pointer is set
177 to point to randtbl[1] (as explained below).) */
179 static long int *fptr
= &randtbl
[SEP_3
+ 1];
180 static long int *rptr
= &randtbl
[1];
184 /* The following things are the pointer to the state information table,
185 the type of the current generator, the degree of the current polynomial
186 being used, and the separation between the two pointers.
187 Note that for efficiency of random, we remember the first location of
188 the state information, not the zeroeth. Hence it is valid to access
189 state[-1], which is used to store the type of the R.N.G.
190 Also, we remember the last location, since this is more efficient than
191 indexing every time to find the address of the last element to see if
192 the front and rear pointers have wrapped. */
194 static long int *state
= &randtbl
[1];
196 static int rand_type
= TYPE_3
;
197 static int rand_deg
= DEG_3
;
198 static int rand_sep
= SEP_3
;
200 static long int *end_ptr
= &randtbl
[sizeof(randtbl
) / sizeof(randtbl
[0])];
202 /* Initialize the random number generator based on the given seed. If the
203 type is the trivial no-state-information type, just remember the seed.
204 Otherwise, initializes state[] based on the given "seed" via a linear
205 congruential generator. Then, the pointers are set to known locations
206 that are exactly rand_sep places apart. Lastly, it cycles the state
207 information a given number of times to get rid of any initial dependencies
208 introduced by the L.C.R.N.G. Note that the initialization of randtbl[]
209 for default usage relies on values produced by this routine. */
210 extern void srandom(unsigned int x
)
213 if (rand_type
!= TYPE_0
)
216 for (i
= 1; i
< rand_deg
; ++i
)
217 state
[i
] = (1103515145 * state
[i
- 1]) + 12345;
218 fptr
= &state
[rand_sep
];
220 for (i
= 0; i
< 10 * rand_deg
; ++i
)
225 /* Initialize the state information in the given array of N bytes for
226 future random number generation. Based on the number of bytes we
227 are given, and the break values for the different R.N.G.'s, we choose
228 the best (largest) one we can and set things up for it. srandom is
229 then called to initialize the state information. Note that on return
230 from srandom, we set state[-1] to be the type multiplexed with the current
231 value of the rear pointer; this is so successive calls to initstate won't
232 lose this information and will be able to restart with setstate.
233 Note: The first thing we do is save the current state, if any, just like
234 setstate so that it doesn't matter when initstate is called.
235 Returns a pointer to the old state. */
236 extern char* initstate(unsigned int seed
, char* arg_state
, size_t n
)
238 PTR ostate
= (PTR
) &state
[-1];
240 if (rand_type
== TYPE_0
)
241 state
[-1] = rand_type
;
243 state
[-1] = (MAX_TYPES
* (rptr
- state
)) + rand_type
;
255 else if (n
< BREAK_2
)
261 else if (n
< BREAK_3
)
267 else if (n
< BREAK_4
)
280 state
= &((long int *) arg_state
)[1]; /* First location. */
281 /* Must set END_PTR before srandom. */
282 end_ptr
= &state
[rand_deg
];
284 if (rand_type
== TYPE_0
)
285 state
[-1] = rand_type
;
287 state
[-1] = (MAX_TYPES
* (rptr
- state
)) + rand_type
;
292 /* Restore the state from the given state array.
293 Note: It is important that we also remember the locations of the pointers
294 in the current state information, and restore the locations of the pointers
295 from the old state information. This is done by multiplexing the pointer
296 location into the zeroeth word of the state information. Note that due
297 to the order in which things are done, it is OK to call setstate with the
298 same state as the current state
299 Returns a pointer to the old state information. */
300 extern char *setstate(const char *arg_state
)
302 register long int *new_state
= (long int *) arg_state
;
303 register int type
= new_state
[0] % MAX_TYPES
;
304 register int rear
= new_state
[0] / MAX_TYPES
;
305 PTR ostate
= (PTR
) &state
[-1];
307 if (rand_type
== TYPE_0
)
308 state
[-1] = rand_type
;
310 state
[-1] = (MAX_TYPES
* (rptr
- state
)) + rand_type
;
320 rand_deg
= degrees
[type
];
321 rand_sep
= seps
[type
];
324 /* State info munged. */
329 state
= &new_state
[1];
330 if (rand_type
!= TYPE_0
)
333 fptr
= &state
[(rear
+ rand_sep
) % rand_deg
];
335 /* Set end_ptr too. */
336 end_ptr
= &state
[rand_deg
];
341 /* If we are using the trivial TYPE_0 R.N.G., just do the old linear
342 congruential bit. Otherwise, we do our fancy trinomial stuff, which is the
343 same in all ther other cases due to all the global variables that have been
344 set up. The basic operation is to add the number at the rear pointer into
345 the one at the front pointer. Then both pointers are advanced to the next
346 location cyclically in the table. The value returned is the sum generated,
347 reduced to 31 bits by throwing away the "least random" low bit.
348 Note: The code takes advantage of the fact that both the front and
349 rear pointers can't wrap on the same call by not testing the rear
350 pointer if the front one has wrapped. Returns a 31-bit random number. */
352 extern long int random()
354 if (rand_type
== TYPE_0
)
356 state
[0] = ((state
[0] * 1103515245) + 12345) & LONG_MAX
;
363 /* Chucking least random bit. */
364 i
= (*fptr
>> 1) & LONG_MAX
;