mirror of
https://github.com/KartKrewDev/RingRacers.git
synced 2025-10-30 08:01:28 +00:00
Try some things to reduce rng biases
- Don't clamp all RNG calls to [0, FRACUNIT-1]. Only does this for P_RandomFixed now. - Use rejection sampling for any clamped RNG calls, to remove modulo bias. - Because of this, P_RandomRange ranges >= FRACUNIT are no longer undefined behavior. - Added P_Random/M_Random to grab RNG output directly. - Shuffle M_Random's RNG as well, since OS rand can be [0,INT32_MAX] instead of [0,UINT32_MAX].
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parent
df968e1b1a
commit
492c068cdd
4 changed files with 110 additions and 45 deletions
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@ -402,10 +402,7 @@ static int lib_pRandomByte(lua_State *L)
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static int lib_pRandomKey(lua_State *L)
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{
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INT32 a = (INT32)luaL_checkinteger(L, 1);
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NOHUD
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if (a > 65536)
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LUA_UsageWarning(L, "P_RandomKey: range > 65536 is undefined behavior");
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lua_pushinteger(L, P_RandomKey(PR_UNDEFINED, a));
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demo_writerng = 2;
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return 1;
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@ -415,15 +412,13 @@ static int lib_pRandomRange(lua_State *L)
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{
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INT32 a = (INT32)luaL_checkinteger(L, 1);
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INT32 b = (INT32)luaL_checkinteger(L, 2);
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NOHUD
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if (b < a) {
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if (b < a)
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{
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INT32 c = a;
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a = b;
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b = c;
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}
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if ((b-a+1) > 65536)
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LUA_UsageWarning(L, "P_RandomRange: range > 65536 is undefined behavior");
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lua_pushinteger(L, P_RandomRange(PR_UNDEFINED, a, b));
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demo_writerng = 2;
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return 1;
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126
src/m_random.c
126
src/m_random.c
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@ -25,20 +25,56 @@
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// RNG functions (not synched)
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// ---------------------------
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ATTRINLINE static UINT32 FUNCINLINE __external_prng__(void)
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{
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UINT32 rnd = rand();
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#if RAND_MAX < 65535
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// Compensate for especially bad randomness.
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UINT32 rndv = (rand() & 1) << 15;
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rnd ^= rndv;
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#endif
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// Shuffle like we do for our own PRNG, since RAND_MAX
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// tends to be [0, INT32_MAX] instead of [0, UINT32_MAX].
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rnd ^= rnd >> 13;
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rnd ^= rnd >> 11;
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rnd ^= rnd << 21;
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return (rnd * 36548569);
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}
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ATTRINLINE static UINT32 FUNCINLINE __external_prng_bound__(UINT32 bound)
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{
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// Do rejection sampling to remove the modulo bias.
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UINT32 threshold = -bound % bound;
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for (;;)
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{
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UINT32 r = __external_prng__();
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if (r >= threshold)
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{
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return r % bound;
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}
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}
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}
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/** Provides a random 32-bit number. Distribution is uniform.
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* As with all M_Random functions, not synched in netgames.
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*
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* \return A random 32-bit number.
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*/
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UINT32 M_Random(void)
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{
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return __external_prng__();
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}
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/** Provides a random fixed point number. Distribution is uniform.
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* As with all M_Random functions, not synched in netgames.
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*
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* \return A random fixed point number from [0,1).
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* \return A random fixed point number from [0,1].
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*/
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fixed_t M_RandomFixed(void)
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{
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#if RAND_MAX < 65535
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// Compensate for insufficient randomness.
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fixed_t rndv = (rand()&1)<<15;
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return rand()^rndv;
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#else
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return (rand() & 0xFFFF);
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#endif
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return (fixed_t)(__external_prng_bound__(FRACUNIT));
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}
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/** Provides a random byte. Distribution is uniform.
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@ -48,7 +84,7 @@ fixed_t M_RandomFixed(void)
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*/
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UINT8 M_RandomByte(void)
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{
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return (rand() & 0xFF);
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return (UINT8)(__external_prng_bound__(UINT8_MAX));
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}
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/** Provides a random integer for picking random elements from an array.
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@ -58,9 +94,9 @@ UINT8 M_RandomByte(void)
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* \param a Number of items in array.
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* \return A random integer from [0,a).
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*/
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INT32 M_RandomKey(INT32 a)
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UINT32 M_RandomKey(UINT32 a)
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{
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return (INT32)((rand()/((unsigned)RAND_MAX+1.0f))*a);
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return __external_prng_bound__(a);
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}
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/** Provides a random integer in a given range.
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@ -73,7 +109,7 @@ INT32 M_RandomKey(INT32 a)
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*/
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INT32 M_RandomRange(INT32 a, INT32 b)
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{
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return (INT32)((rand()/((unsigned)RAND_MAX+1.0f))*(b-a+1))+a;
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return (INT32)(__external_prng_bound__((b - a) + 1)) + a;
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}
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@ -92,23 +128,56 @@ typedef struct
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static rng_t rng; // The entire PRNG state
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/** Provides a random fixed point number.
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/** Provides a random 32 bit integer.
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* This is a variant of an xorshift PRNG; state fits in a 32 bit integer structure.
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*
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* \return A random fixed point number from [0,1).
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* \return A random, uniformly distributed number from [0,UINT32_MAX].
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*/
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ATTRINLINE static fixed_t FUNCINLINE __internal_prng__(pr_class_t pr_class)
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ATTRINLINE static UINT32 FUNCINLINE __internal_prng__(pr_class_t pr_class)
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{
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rng.seed[pr_class] ^= rng.seed[pr_class] >> 13;
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rng.seed[pr_class] ^= rng.seed[pr_class] >> 11;
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rng.seed[pr_class] ^= rng.seed[pr_class] << 21;
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return ( (rng.seed[pr_class] * 36548569) >> 4) & (FRACUNIT-1);
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return (rng.seed[pr_class] * 36548569);
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}
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/** Provides a random number within a specified range.
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*
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* \return A random, uniformly distributed number from [0,bound].
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*/
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ATTRINLINE static UINT32 FUNCINLINE __internal_prng_bound__(pr_class_t pr_class, UINT32 bound)
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{
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// Do rejection sampling to remove the modulo bias.
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UINT32 threshold = -bound % bound;
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for (;;)
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{
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UINT32 r = __internal_prng__(pr_class);
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if (r >= threshold)
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{
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return r % bound;
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}
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}
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}
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/** Provides a random fixed point number. Distribution is uniform.
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* Literally a wrapper for the internal PRNG function.
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*
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* \return A random fixed point number from [0,1).
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* \return A random fixed point number from [0,UINT32_MAX].
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*/
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#ifndef DEBUGRANDOM
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UINT32 P_Random(pr_class_t pr_class)
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{
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#else
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UINT32 P_RandomD(const char *rfile, INT32 rline, pr_class_t pr_class)
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{
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CONS_Printf("P_Random(%u) at: %sp %d\n", pr_class, rfile, rline);
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#endif
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return __internal_prng__(pr_class);
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}
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/** Provides a random fixed point number. Distribution is uniform.
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*
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* \return A random fixed point number from [0,1].
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*/
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#ifndef DEBUGRANDOM
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fixed_t P_RandomFixed(pr_class_t pr_class)
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@ -118,14 +187,14 @@ fixed_t P_RandomFixedD(const char *rfile, INT32 rline, pr_class_t pr_class)
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{
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CONS_Printf("P_RandomFixed(%u) at: %sp %d\n", pr_class, rfile, rline);
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#endif
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return __internal_prng__(pr_class);
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return (fixed_t)(__internal_prng_bound__(pr_class, FRACUNIT));
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}
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/** Provides a random byte. Distribution is uniform.
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* If you're curious, (&0xFF00) >> 8 gives the same result
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* as a fixed point multiplication by 256.
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*
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* \return Random integer from [0, 255].
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* \return Random integer from [0,255].
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* \sa __internal_prng__
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*/
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#ifndef DEBUGRANDOM
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@ -136,7 +205,7 @@ UINT8 P_RandomByteD(const char *rfile, INT32 rline, pr_class_t pr_class)
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{
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CONS_Printf("P_RandomByte(%u) at: %sp %d\n", pr_class, rfile, rline);
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#endif
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return (UINT8)((__internal_prng__(pr_class) & 0xFF00) >> 8);
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return (UINT8)(__internal_prng_bound__(pr_class, UINT8_MAX));
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}
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/** Provides a random integer for picking random elements from an array.
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@ -144,23 +213,22 @@ UINT8 P_RandomByteD(const char *rfile, INT32 rline, pr_class_t pr_class)
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* NOTE: Maximum range is 65536.
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*
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* \param a Number of items in array.
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* \return A random integer from [0,a).
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* \return A random integer from [0,a].
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* \sa __internal_prng__
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*/
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#ifndef DEBUGRANDOM
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INT32 P_RandomKey(pr_class_t pr_class, INT32 a)
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UINT32 P_RandomKey(pr_class_t pr_class, UINT32 a)
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{
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#else
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INT32 P_RandomKeyD(const char *rfile, INT32 rline, pr_class_t pr_class, INT32 a)
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UINT32 P_RandomKeyD(const char *rfile, INT32 rline, pr_class_t pr_class, UINT32 a)
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{
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CONS_Printf("P_RandomKey(%u) at: %sp %d\n", pr_class, rfile, rline);
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#endif
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return (INT32)(((INT64)__internal_prng__(pr_class) * a) >> FRACBITS);
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return __internal_prng_bound__(pr_class, a);
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}
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/** Provides a random integer in a given range.
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* Distribution is uniform.
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* NOTE: Maximum range is 65536.
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*
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* \param a Lower bound.
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* \param b Upper bound.
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@ -175,7 +243,7 @@ INT32 P_RandomRangeD(const char *rfile, INT32 rline, pr_class_t pr_class, INT32
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{
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CONS_Printf("P_RandomRange(%u) at: %sp %d\n", pr_class, rfile, rline);
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#endif
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return (INT32)(((INT64)__internal_prng__(pr_class) * (b - a + 1)) >> FRACBITS) + a;
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return (INT32)(__internal_prng_bound__(pr_class, (b - a) + 1)) + a;
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}
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@ -187,13 +255,13 @@ INT32 P_RandomRangeD(const char *rfile, INT32 rline, pr_class_t pr_class, INT32
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/** Peeks to see what the next result from the PRNG will be.
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* Used for debugging.
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*
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* \return A 'random' fixed point number from [0,1).
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* \return A 'random' number from [0,UINT32_MAX]
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* \sa __internal_prng__
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*/
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fixed_t P_RandomPeek(pr_class_t pr_class)
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UINT32 P_RandomPeek(pr_class_t pr_class)
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{
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UINT32 r = rng.seed[pr_class];
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fixed_t ret = __internal_prng__(pr_class);
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UINT32 ret = __internal_prng__(pr_class);
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rng.seed[pr_class] = r;
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return ret;
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}
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@ -69,37 +69,41 @@ typedef enum
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// P_Random functions pulls random bytes from a PRNG that is network synced.
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// RNG functions
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UINT32 M_Random(void);
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fixed_t M_RandomFixed(void);
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UINT8 M_RandomByte(void);
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INT32 M_RandomKey(INT32 a);
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UINT32 M_RandomKey(UINT32 a);
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INT32 M_RandomRange(INT32 a, INT32 b);
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// PRNG functions
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#ifdef DEBUGRANDOM
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#define P_Random(c) P_RandomD(__FILE__, __LINE__, c)
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#define P_RandomFixed(c) P_RandomFixedD(__FILE__, __LINE__, c)
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#define P_RandomByte(c) P_RandomByteD(__FILE__, __LINE__, c)
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#define P_RandomKey(c, d) P_RandomKeyD(__FILE__, __LINE__, c, d)
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#define P_RandomRange(c, d, e) P_RandomRangeD(__FILE__, __LINE__, c, d, e)
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UINT32 P_RandomD(const char *rfile, INT32 rline, pr_class_t pr_class);
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fixed_t P_RandomFixedD(const char *rfile, INT32 rline, pr_class_t pr_class);
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UINT8 P_RandomByteD(const char *rfile, INT32 rline, pr_class_t pr_class);
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INT32 P_RandomKeyD(const char *rfile, INT32 rline, pr_class_t pr_class, INT32 a);
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UINT32 P_RandomKeyD(const char *rfile, INT32 rline, pr_class_t pr_class, UINT32 a);
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INT32 P_RandomRangeD(const char *rfile, INT32 rline, pr_class_t pr_class, INT32 a, INT32 b);
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#else
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UINT32 P_Random(pr_class_t pr_class);
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fixed_t P_RandomFixed(pr_class_t pr_class);
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UINT8 P_RandomByte(pr_class_t pr_class);
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INT32 P_RandomKey(pr_class_t pr_class, INT32 a);
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UINT32 P_RandomKey(pr_class_t pr_class, UINT32 a);
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INT32 P_RandomRange(pr_class_t pr_class, INT32 a, INT32 b);
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#endif
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// Macros for other functions
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#define M_SignedRandom() ((INT32)M_RandomByte() - 128) // [-128, 127] signed byte, originally a
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#define P_SignedRandom(pr) ((INT32)P_RandomByte(pr) - 128) // function of its own, moved to a macro
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#define M_SignedRandom() ((INT32)M_RandomByte() + INT8_MIN) // [-128, 127] signed byte, originally a
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#define P_SignedRandom(pr) ((INT32)P_RandomByte(pr) + INT8_MIN) // function of its own, moved to a macro
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#define M_RandomChance(p) (M_RandomFixed() < p) // given fixed point probability, p, between 0 (0%)
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#define P_RandomChance(pr, p) (P_RandomFixed(pr) < p) // and FRACUNIT (100%), returns true p% of the time
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// Debugging
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fixed_t P_RandomPeek(pr_class_t pr_class);
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UINT32 P_RandomPeek(pr_class_t pr_class);
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// Working with the seed for PRNG
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#ifdef DEBUGRANDOM
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@ -411,12 +411,10 @@ static void ST_drawDebugInfo(void)
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// Figure out some other way to display all of the RNG classes.
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fixed_t peekres = P_RandomPeek(PR_UNDEFINED);
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peekres *= 10000; // Change from fixed point
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peekres >>= FRACBITS; // to displayable decimal
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V_DrawRightAlignedString(320, height - 16, V_MONOSPACE, va("Init: %08x", P_GetInitSeed(PR_UNDEFINED)));
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V_DrawRightAlignedString(320, height - 8, V_MONOSPACE, va("Seed: %08x", P_GetRandSeed(PR_UNDEFINED)));
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V_DrawRightAlignedString(320, height, V_MONOSPACE, va("== : .%04d", peekres));
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V_DrawRightAlignedString(320, height, V_MONOSPACE, va("== : %08x", peekres));
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height -= 32;
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}
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