random32.c 3.8 KB

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  1. /*
  2. This is a maximally equidistributed combined Tausworthe generator
  3. based on code from GNU Scientific Library 1.5 (30 Jun 2004)
  4. x_n = (s1_n ^ s2_n ^ s3_n)
  5. s1_{n+1} = (((s1_n & 4294967294) <<12) ^ (((s1_n <<13) ^ s1_n) >>19))
  6. s2_{n+1} = (((s2_n & 4294967288) << 4) ^ (((s2_n << 2) ^ s2_n) >>25))
  7. s3_{n+1} = (((s3_n & 4294967280) <<17) ^ (((s3_n << 3) ^ s3_n) >>11))
  8. The period of this generator is about 2^88.
  9. From: P. L'Ecuyer, "Maximally Equidistributed Combined Tausworthe
  10. Generators", Mathematics of Computation, 65, 213 (1996), 203--213.
  11. This is available on the net from L'Ecuyer's home page,
  12. http://www.iro.umontreal.ca/~lecuyer/myftp/papers/tausme.ps
  13. ftp://ftp.iro.umontreal.ca/pub/simulation/lecuyer/papers/tausme.ps
  14. There is an erratum in the paper "Tables of Maximally
  15. Equidistributed Combined LFSR Generators", Mathematics of
  16. Computation, 68, 225 (1999), 261--269:
  17. http://www.iro.umontreal.ca/~lecuyer/myftp/papers/tausme2.ps
  18. ... the k_j most significant bits of z_j must be non-
  19. zero, for each j. (Note: this restriction also applies to the
  20. computer code given in [4], but was mistakenly not mentioned in
  21. that paper.)
  22. This affects the seeding procedure by imposing the requirement
  23. s1 > 1, s2 > 7, s3 > 15.
  24. */
  25. #include <linux/types.h>
  26. #include <linux/percpu.h>
  27. #include <linux/module.h>
  28. #include <linux/jiffies.h>
  29. #include <linux/random.h>
  30. struct rnd_state {
  31. u32 s1, s2, s3;
  32. };
  33. static DEFINE_PER_CPU(struct rnd_state, net_rand_state);
  34. static u32 __random32(struct rnd_state *state)
  35. {
  36. #define TAUSWORTHE(s,a,b,c,d) ((s&c)<<d) ^ (((s <<a) ^ s)>>b)
  37. state->s1 = TAUSWORTHE(state->s1, 13, 19, 4294967294UL, 12);
  38. state->s2 = TAUSWORTHE(state->s2, 2, 25, 4294967288UL, 4);
  39. state->s3 = TAUSWORTHE(state->s3, 3, 11, 4294967280UL, 17);
  40. return (state->s1 ^ state->s2 ^ state->s3);
  41. }
  42. /*
  43. * Handle minimum values for seeds
  44. */
  45. static inline u32 __seed(u32 x, u32 m)
  46. {
  47. return (x < m) ? x + m : x;
  48. }
  49. /**
  50. * random32 - pseudo random number generator
  51. *
  52. * A 32 bit pseudo-random number is generated using a fast
  53. * algorithm suitable for simulation. This algorithm is NOT
  54. * considered safe for cryptographic use.
  55. */
  56. u32 random32(void)
  57. {
  58. unsigned long r;
  59. struct rnd_state *state = &get_cpu_var(net_rand_state);
  60. r = __random32(state);
  61. put_cpu_var(state);
  62. return r;
  63. }
  64. EXPORT_SYMBOL(random32);
  65. /**
  66. * srandom32 - add entropy to pseudo random number generator
  67. * @seed: seed value
  68. *
  69. * Add some additional seeding to the random32() pool.
  70. */
  71. void srandom32(u32 entropy)
  72. {
  73. int i;
  74. /*
  75. * No locking on the CPUs, but then somewhat random results are, well,
  76. * expected.
  77. */
  78. for_each_possible_cpu (i) {
  79. struct rnd_state *state = &per_cpu(net_rand_state, i);
  80. state->s1 = __seed(state->s1 ^ entropy, 1);
  81. }
  82. }
  83. EXPORT_SYMBOL(srandom32);
  84. /*
  85. * Generate some initially weak seeding values to allow
  86. * to start the random32() engine.
  87. */
  88. static int __init random32_init(void)
  89. {
  90. int i;
  91. for_each_possible_cpu(i) {
  92. struct rnd_state *state = &per_cpu(net_rand_state,i);
  93. #define LCG(x) ((x) * 69069) /* super-duper LCG */
  94. state->s1 = __seed(LCG(i + jiffies), 1);
  95. state->s2 = __seed(LCG(state->s1), 7);
  96. state->s3 = __seed(LCG(state->s2), 15);
  97. /* "warm it up" */
  98. __random32(state);
  99. __random32(state);
  100. __random32(state);
  101. __random32(state);
  102. __random32(state);
  103. __random32(state);
  104. }
  105. return 0;
  106. }
  107. core_initcall(random32_init);
  108. /*
  109. * Generate better values after random number generator
  110. * is fully initalized.
  111. */
  112. static int __init random32_reseed(void)
  113. {
  114. int i;
  115. for_each_possible_cpu(i) {
  116. struct rnd_state *state = &per_cpu(net_rand_state,i);
  117. u32 seeds[3];
  118. get_random_bytes(&seeds, sizeof(seeds));
  119. state->s1 = __seed(seeds[0], 1);
  120. state->s2 = __seed(seeds[1], 7);
  121. state->s3 = __seed(seeds[2], 15);
  122. /* mix it in */
  123. __random32(state);
  124. }
  125. return 0;
  126. }
  127. late_initcall(random32_reseed);