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49 * This is derived from the Berkeley source:
50 * @(#)random.c 5.5 (Berkeley) 7/6/88
51 * It was reworked for the GNU C Library by Roland McGrath.
52 * Rewritten to be reentrant by Ulrich Drepper, 1995
57 #include "generate-random.h"
60 /* An improved random number generation package. In addition to the standard
61 rand()/srand() like interface, this package also has a special state info
62 interface. The initstate() routine is called with a seed, an array of
63 bytes, and a count of how many bytes are being passed in; this array is
64 then initialized to contain information for random number generation with
65 that much state information. Good sizes for the amount of state
66 information are 32, 64, 128, and 256 bytes. The state can be switched by
67 calling the setstate() function with the same array as was initialized
68 with initstate(). By default, the package runs with 128 bytes of state
69 information and generates far better random numbers than a linear
70 congruential generator. If the amount of state information is less than
71 32 bytes, a simple linear congruential R.N.G. is used. Internally, the
72 state information is treated as an array of longs; the zeroth element of
73 the array is the type of R.N.G. being used (small integer); the remainder
74 of the array is the state information for the R.N.G. Thus, 32 bytes of
75 state information will give 7 longs worth of state information, which will
76 allow a degree seven polynomial. (Note: The zeroth word of state
77 information also has some other information stored in it; see setstate
78 for details). The random number generation technique is a linear feedback
79 shift register approach, employing trinomials (since there are fewer terms
80 to sum up that way). In this approach, the least significant bit of all
81 the numbers in the state table will act as a linear feedback shift register,
82 and will have period 2^deg - 1 (where deg is the degree of the polynomial
83 being used, assuming that the polynomial is irreducible and primitive).
84 The higher order bits will have longer periods, since their values are
85 also influenced by pseudo-random carries out of the lower bits. The
86 total period of the generator is approximately deg*(2**deg - 1); thus
87 doubling the amount of state information has a vast influence on the
88 period of the generator. Note: The deg*(2**deg - 1) is an approximation
89 only good for large deg, when the period of the shift register is the
90 dominant factor. With deg equal to seven, the period is actually much
91 longer than the 7*(2**7 - 1) predicted by this formula. */
95 /* For each of the currently supported random number generators, we have a
96 break value on the amount of state information (you need at least this many
97 bytes of state info to support this random number generator), a degree for
98 the polynomial (actually a trinomial) that the R.N.G. is based on, and
99 separation between the two lower order coefficients of the trinomial. */
101 /* Linear congruential. */
107 /* x**7 + x**3 + 1. */
119 /* x**31 + x**3 + 1. */
132 /* Array versions of the above information to make code run faster.
133 Relies on fact that TYPE_i == i. */
135 #define MAX_TYPES 5 /* Max number of types above. */
137 struct random_poly_info
140 int degrees
[MAX_TYPES
];
143 static const struct random_poly_info random_poly_info
=
145 { SEP_0
, SEP_1
, SEP_2
, SEP_3
, SEP_4
},
146 { DEG_0
, DEG_1
, DEG_2
, DEG_3
, DEG_4
}
152 /* Initialize the random number generator based on the given seed. If the
153 type is the trivial no-state-information type, just remember the seed.
154 Otherwise, initializes state[] based on the given "seed" via a linear
155 congruential generator. Then, the pointers are set to known locations
156 that are exactly rand_sep places apart. Lastly, it cycles the state
157 information a given number of times to get rid of any initial dependencies
158 introduced by the L.C.R.N.G. Note that the initialization of randtbl[]
159 for default usage relies on values produced by this routine. */
161 generate_srandom_r (unsigned int seed
, struct generate_random_data
*buf
)
172 type
= buf
->rand_type
;
173 if ((unsigned int) type
>= MAX_TYPES
)
177 /* We must make sure the seed is not 0. Take arbitrarily 1 in this case. */
187 for (i
= 1; i
< kc
; ++i
)
190 state[i] = (16807 * state[i - 1]) % 2147483647;
191 but avoids overflowing 31 bits. */
192 long int hi
= word
/ 127773;
193 long int lo
= word
% 127773;
194 word
= 16807 * lo
- 2836 * hi
;
200 buf
->fptr
= &state
[buf
->rand_sep
];
201 buf
->rptr
= &state
[0];
206 (void) generate_random_r (buf
, &discard
);
216 /* Initialize the state information in the given array of N bytes for
217 future random number generation. Based on the number of bytes we
218 are given, and the break values for the different R.N.G.'s, we choose
219 the best (largest) one we can and set things up for it. srandom is
220 then called to initialize the state information. Note that on return
221 from srandom, we set state[-1] to be the type multiplexed with the current
222 value of the rear pointer; this is so successive calls to initstate won't
223 lose this information and will be able to restart with setstate.
224 Note: The first thing we do is save the current state, if any, just like
225 setstate so that it doesn't matter when initstate is called.
226 Returns a pointer to the old state. */
228 generate_initstate_r (unsigned int seed
, char *arg_state
, size_t n
,
229 struct generate_random_data
*buf
)
240 type
= n
< BREAK_4
? TYPE_3
: TYPE_4
;
241 else if (n
< BREAK_1
)
250 type
= n
< BREAK_2
? TYPE_1
: TYPE_2
;
252 degree
= random_poly_info
.degrees
[type
];
253 separation
= random_poly_info
.seps
[type
];
255 buf
->rand_type
= type
;
256 buf
->rand_sep
= separation
;
257 buf
->rand_deg
= degree
;
258 state
= &((int *) arg_state
)[1]; /* First location. */
259 /* Must set END_PTR before srandom. */
260 buf
->end_ptr
= &state
[degree
];
264 generate_srandom_r (seed
, buf
);
268 state
[-1] = (buf
->rptr
- state
) * MAX_TYPES
+ type
;
276 /* Restore the state from the given state array.
277 Note: It is important that we also remember the locations of the pointers
278 in the current state information, and restore the locations of the pointers
279 from the old state information. This is done by multiplexing the pointer
280 location into the zeroth word of the state information. Note that due
281 to the order in which things are done, it is OK to call setstate with the
282 same state as the current state
283 Returns a pointer to the old state information. */
285 generate_setstate_r (char *arg_state
, struct generate_random_data
*buf
)
287 int *new_state
= 1 + (int *) arg_state
;
294 if (arg_state
== NULL
|| buf
== NULL
)
297 old_type
= buf
->rand_type
;
298 old_state
= buf
->state
;
299 if (old_type
== TYPE_0
)
300 old_state
[-1] = TYPE_0
;
302 old_state
[-1] = (MAX_TYPES
* (buf
->rptr
- old_state
)) + old_type
;
304 type
= new_state
[-1] % MAX_TYPES
;
305 if (type
< TYPE_0
|| type
> TYPE_4
)
308 buf
->rand_deg
= degree
= random_poly_info
.degrees
[type
];
309 buf
->rand_sep
= separation
= random_poly_info
.seps
[type
];
310 buf
->rand_type
= type
;
314 int rear
= new_state
[-1] / MAX_TYPES
;
315 buf
->rptr
= &new_state
[rear
];
316 buf
->fptr
= &new_state
[(rear
+ separation
) % degree
];
318 buf
->state
= new_state
;
319 /* Set end_ptr too. */
320 buf
->end_ptr
= &new_state
[degree
];
328 /* If we are using the trivial TYPE_0 R.N.G., just do the old linear
329 congruential bit. Otherwise, we do our fancy trinomial stuff, which is the
330 same in all the other cases due to all the global variables that have been
331 set up. The basic operation is to add the number at the rear pointer into
332 the one at the front pointer. Then both pointers are advanced to the next
333 location cyclically in the table. The value returned is the sum generated,
334 reduced to 31 bits by throwing away the "least random" low bit.
335 Note: The code takes advantage of the fact that both the front and
336 rear pointers can't wrap on the same call by not testing the rear
337 pointer if the front one has wrapped. Returns a 31-bit random number. */
340 generate_random_r (struct generate_random_data
*buf
, int *result
)
344 if (buf
== NULL
|| result
== NULL
)
349 if (buf
->rand_type
== TYPE_0
)
352 val
= ((state
[0] * 1103515245) + 12345) & 0x7fffffff;
358 int *fptr
= buf
->fptr
;
359 int *rptr
= buf
->rptr
;
360 int *end_ptr
= buf
->end_ptr
;
363 val
= *fptr
+= *rptr
;
364 /* Chucking least random bit. */
365 *result
= (val
>> 1) & 0x7fffffff;