diff options
Diffstat (limited to 'src/lib_math.c')
| -rw-r--r-- | src/lib_math.c | 96 |
1 files changed, 34 insertions, 62 deletions
diff --git a/src/lib_math.c b/src/lib_math.c index c18fae42..2f598355 100644 --- a/src/lib_math.c +++ b/src/lib_math.c | |||
| @@ -13,8 +13,10 @@ | |||
| 13 | #include "lualib.h" | 13 | #include "lualib.h" |
| 14 | 14 | ||
| 15 | #include "lj_obj.h" | 15 | #include "lj_obj.h" |
| 16 | #include "lj_err.h" | ||
| 16 | #include "lj_lib.h" | 17 | #include "lj_lib.h" |
| 17 | #include "lj_vm.h" | 18 | #include "lj_vm.h" |
| 19 | #include "lj_prng.h" | ||
| 18 | 20 | ||
| 19 | /* ------------------------------------------------------------------------ */ | 21 | /* ------------------------------------------------------------------------ */ |
| 20 | 22 | ||
| @@ -33,25 +35,19 @@ LJLIB_ASM(math_sqrt) LJLIB_REC(math_unary IRFPM_SQRT) | |||
| 33 | lj_lib_checknum(L, 1); | 35 | lj_lib_checknum(L, 1); |
| 34 | return FFH_RETRY; | 36 | return FFH_RETRY; |
| 35 | } | 37 | } |
| 36 | LJLIB_ASM_(math_log10) LJLIB_REC(math_unary IRFPM_LOG10) | 38 | LJLIB_ASM_(math_log10) LJLIB_REC(math_call IRCALL_log10) |
| 37 | LJLIB_ASM_(math_exp) LJLIB_REC(math_unary IRFPM_EXP) | 39 | LJLIB_ASM_(math_exp) LJLIB_REC(math_call IRCALL_exp) |
| 38 | LJLIB_ASM_(math_sin) LJLIB_REC(math_unary IRFPM_SIN) | 40 | LJLIB_ASM_(math_sin) LJLIB_REC(math_call IRCALL_sin) |
| 39 | LJLIB_ASM_(math_cos) LJLIB_REC(math_unary IRFPM_COS) | 41 | LJLIB_ASM_(math_cos) LJLIB_REC(math_call IRCALL_cos) |
| 40 | LJLIB_ASM_(math_tan) LJLIB_REC(math_unary IRFPM_TAN) | 42 | LJLIB_ASM_(math_tan) LJLIB_REC(math_call IRCALL_tan) |
| 41 | LJLIB_ASM_(math_asin) LJLIB_REC(math_atrig FF_math_asin) | 43 | LJLIB_ASM_(math_asin) LJLIB_REC(math_call IRCALL_asin) |
| 42 | LJLIB_ASM_(math_acos) LJLIB_REC(math_atrig FF_math_acos) | 44 | LJLIB_ASM_(math_acos) LJLIB_REC(math_call IRCALL_acos) |
| 43 | LJLIB_ASM_(math_atan) LJLIB_REC(math_atrig FF_math_atan) | 45 | LJLIB_ASM_(math_atan) LJLIB_REC(math_call IRCALL_atan) |
| 44 | LJLIB_ASM_(math_sinh) LJLIB_REC(math_htrig IRCALL_sinh) | 46 | LJLIB_ASM_(math_sinh) LJLIB_REC(math_call IRCALL_sinh) |
| 45 | LJLIB_ASM_(math_cosh) LJLIB_REC(math_htrig IRCALL_cosh) | 47 | LJLIB_ASM_(math_cosh) LJLIB_REC(math_call IRCALL_cosh) |
| 46 | LJLIB_ASM_(math_tanh) LJLIB_REC(math_htrig IRCALL_tanh) | 48 | LJLIB_ASM_(math_tanh) LJLIB_REC(math_call IRCALL_tanh) |
| 47 | LJLIB_ASM_(math_frexp) | 49 | LJLIB_ASM_(math_frexp) |
| 48 | LJLIB_ASM_(math_modf) LJLIB_REC(.) | 50 | LJLIB_ASM_(math_modf) |
| 49 | |||
| 50 | LJLIB_PUSH(57.29577951308232) | ||
| 51 | LJLIB_ASM_(math_deg) LJLIB_REC(math_degrad) | ||
| 52 | |||
| 53 | LJLIB_PUSH(0.017453292519943295) | ||
| 54 | LJLIB_ASM_(math_rad) LJLIB_REC(math_degrad) | ||
| 55 | 51 | ||
| 56 | LJLIB_ASM(math_log) LJLIB_REC(math_log) | 52 | LJLIB_ASM(math_log) LJLIB_REC(math_log) |
| 57 | { | 53 | { |
| @@ -63,12 +59,15 @@ LJLIB_ASM(math_log) LJLIB_REC(math_log) | |||
| 63 | #else | 59 | #else |
| 64 | x = lj_vm_log2(x); y = 1.0 / lj_vm_log2(y); | 60 | x = lj_vm_log2(x); y = 1.0 / lj_vm_log2(y); |
| 65 | #endif | 61 | #endif |
| 66 | setnumV(L->base-1, x*y); /* Do NOT join the expression to x / y. */ | 62 | setnumV(L->base-1-LJ_FR2, x*y); /* Do NOT join the expression to x / y. */ |
| 67 | return FFH_RES(1); | 63 | return FFH_RES(1); |
| 68 | } | 64 | } |
| 69 | return FFH_RETRY; | 65 | return FFH_RETRY; |
| 70 | } | 66 | } |
| 71 | 67 | ||
| 68 | LJLIB_LUA(math_deg) /* function(x) return x * 57.29577951308232 end */ | ||
| 69 | LJLIB_LUA(math_rad) /* function(x) return x * 0.017453292519943295 end */ | ||
| 70 | |||
| 72 | LJLIB_ASM(math_atan2) LJLIB_REC(.) | 71 | LJLIB_ASM(math_atan2) LJLIB_REC(.) |
| 73 | { | 72 | { |
| 74 | lj_lib_checknum(L, 1); | 73 | lj_lib_checknum(L, 1); |
| @@ -108,34 +107,11 @@ LJLIB_PUSH(1e310) LJLIB_SET(huge) | |||
| 108 | ** Full-period ME-CF generator with L=64, J=4, k=223, N1=49. | 107 | ** Full-period ME-CF generator with L=64, J=4, k=223, N1=49. |
| 109 | */ | 108 | */ |
| 110 | 109 | ||
| 111 | /* PRNG state. */ | ||
| 112 | struct RandomState { | ||
| 113 | uint64_t gen[4]; /* State of the 4 LFSR generators. */ | ||
| 114 | int valid; /* State is valid. */ | ||
| 115 | }; | ||
| 116 | |||
| 117 | /* Union needed for bit-pattern conversion between uint64_t and double. */ | 110 | /* Union needed for bit-pattern conversion between uint64_t and double. */ |
| 118 | typedef union { uint64_t u64; double d; } U64double; | 111 | typedef union { uint64_t u64; double d; } U64double; |
| 119 | 112 | ||
| 120 | /* Update generator i and compute a running xor of all states. */ | 113 | /* PRNG seeding function. */ |
| 121 | #define TW223_GEN(i, k, q, s) \ | 114 | static void random_seed(PRNGState *rs, double d) |
| 122 | z = rs->gen[i]; \ | ||
| 123 | z = (((z<<q)^z) >> (k-s)) ^ ((z&((uint64_t)(int64_t)-1 << (64-k)))<<s); \ | ||
| 124 | r ^= z; rs->gen[i] = z; | ||
| 125 | |||
| 126 | /* PRNG step function. Returns a double in the range 1.0 <= d < 2.0. */ | ||
| 127 | LJ_NOINLINE uint64_t LJ_FASTCALL lj_math_random_step(RandomState *rs) | ||
| 128 | { | ||
| 129 | uint64_t z, r = 0; | ||
| 130 | TW223_GEN(0, 63, 31, 18) | ||
| 131 | TW223_GEN(1, 58, 19, 28) | ||
| 132 | TW223_GEN(2, 55, 24, 7) | ||
| 133 | TW223_GEN(3, 47, 21, 8) | ||
| 134 | return (r & U64x(000fffff,ffffffff)) | U64x(3ff00000,00000000); | ||
| 135 | } | ||
| 136 | |||
| 137 | /* PRNG initialization function. */ | ||
| 138 | static void random_init(RandomState *rs, double d) | ||
| 139 | { | 115 | { |
| 140 | uint32_t r = 0x11090601; /* 64-k[i] as four 8 bit constants. */ | 116 | uint32_t r = 0x11090601; /* 64-k[i] as four 8 bit constants. */ |
| 141 | int i; | 117 | int i; |
| @@ -144,24 +120,22 @@ static void random_init(RandomState *rs, double d) | |||
| 144 | uint32_t m = 1u << (r&255); | 120 | uint32_t m = 1u << (r&255); |
| 145 | r >>= 8; | 121 | r >>= 8; |
| 146 | u.d = d = d * 3.14159265358979323846 + 2.7182818284590452354; | 122 | u.d = d = d * 3.14159265358979323846 + 2.7182818284590452354; |
| 147 | if (u.u64 < m) u.u64 += m; /* Ensure k[i] MSB of gen[i] are non-zero. */ | 123 | if (u.u64 < m) u.u64 += m; /* Ensure k[i] MSB of u[i] are non-zero. */ |
| 148 | rs->gen[i] = u.u64; | 124 | rs->u[i] = u.u64; |
| 149 | } | 125 | } |
| 150 | rs->valid = 1; | ||
| 151 | for (i = 0; i < 10; i++) | 126 | for (i = 0; i < 10; i++) |
| 152 | lj_math_random_step(rs); | 127 | (void)lj_prng_u64(rs); |
| 153 | } | 128 | } |
| 154 | 129 | ||
| 155 | /* PRNG extract function. */ | 130 | /* PRNG extract function. */ |
| 156 | LJLIB_PUSH(top-2) /* Upvalue holds userdata with RandomState. */ | 131 | LJLIB_PUSH(top-2) /* Upvalue holds userdata with PRNGState. */ |
| 157 | LJLIB_CF(math_random) LJLIB_REC(.) | 132 | LJLIB_CF(math_random) LJLIB_REC(.) |
| 158 | { | 133 | { |
| 159 | int n = (int)(L->top - L->base); | 134 | int n = (int)(L->top - L->base); |
| 160 | RandomState *rs = (RandomState *)(uddata(udataV(lj_lib_upvalue(L, 1)))); | 135 | PRNGState *rs = (PRNGState *)(uddata(udataV(lj_lib_upvalue(L, 1)))); |
| 161 | U64double u; | 136 | U64double u; |
| 162 | double d; | 137 | double d; |
| 163 | if (LJ_UNLIKELY(!rs->valid)) random_init(rs, 0.0); | 138 | u.u64 = lj_prng_u64d(rs); |
| 164 | u.u64 = lj_math_random_step(rs); | ||
| 165 | d = u.d - 1.0; | 139 | d = u.d - 1.0; |
| 166 | if (n > 0) { | 140 | if (n > 0) { |
| 167 | #if LJ_DUALNUM | 141 | #if LJ_DUALNUM |
| @@ -206,11 +180,14 @@ LJLIB_CF(math_random) LJLIB_REC(.) | |||
| 206 | } | 180 | } |
| 207 | 181 | ||
| 208 | /* PRNG seed function. */ | 182 | /* PRNG seed function. */ |
| 209 | LJLIB_PUSH(top-2) /* Upvalue holds userdata with RandomState. */ | 183 | LJLIB_PUSH(top-2) /* Upvalue holds userdata with PRNGState. */ |
| 210 | LJLIB_CF(math_randomseed) | 184 | LJLIB_CF(math_randomseed) |
| 211 | { | 185 | { |
| 212 | RandomState *rs = (RandomState *)(uddata(udataV(lj_lib_upvalue(L, 1)))); | 186 | PRNGState *rs = (PRNGState *)(uddata(udataV(lj_lib_upvalue(L, 1)))); |
| 213 | random_init(rs, lj_lib_checknum(L, 1)); | 187 | if (L->base != L->top) |
| 188 | random_seed(rs, lj_lib_checknum(L, 1)); | ||
| 189 | else if (!lj_prng_seed_secure(rs)) | ||
| 190 | lj_err_caller(L, LJ_ERR_PRNGSD); | ||
| 214 | return 0; | 191 | return 0; |
| 215 | } | 192 | } |
| 216 | 193 | ||
| @@ -220,14 +197,9 @@ LJLIB_CF(math_randomseed) | |||
| 220 | 197 | ||
| 221 | LUALIB_API int luaopen_math(lua_State *L) | 198 | LUALIB_API int luaopen_math(lua_State *L) |
| 222 | { | 199 | { |
| 223 | RandomState *rs; | 200 | PRNGState *rs = (PRNGState *)lua_newuserdata(L, sizeof(PRNGState)); |
| 224 | rs = (RandomState *)lua_newuserdata(L, sizeof(RandomState)); | 201 | lj_prng_seed_fixed(rs); |
| 225 | rs->valid = 0; /* Use lazy initialization to save some time on startup. */ | ||
| 226 | LJ_LIB_REG(L, LUA_MATHLIBNAME, math); | 202 | LJ_LIB_REG(L, LUA_MATHLIBNAME, math); |
| 227 | #if defined(LUA_COMPAT_MOD) && !LJ_52 | ||
| 228 | lua_getfield(L, -1, "fmod"); | ||
| 229 | lua_setfield(L, -2, "mod"); | ||
| 230 | #endif | ||
| 231 | return 1; | 203 | return 1; |
| 232 | } | 204 | } |
| 233 | 205 | ||
