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-rw-r--r--Build/source/libs/luajit/LuaJIT-2.1.0-beta1/src/lib_math.c230
1 files changed, 230 insertions, 0 deletions
diff --git a/Build/source/libs/luajit/LuaJIT-2.1.0-beta1/src/lib_math.c b/Build/source/libs/luajit/LuaJIT-2.1.0-beta1/src/lib_math.c
new file mode 100644
index 00000000000..78838fcd6c0
--- /dev/null
+++ b/Build/source/libs/luajit/LuaJIT-2.1.0-beta1/src/lib_math.c
@@ -0,0 +1,230 @@
+/*
+** Math library.
+** Copyright (C) 2005-2015 Mike Pall. See Copyright Notice in luajit.h
+*/
+
+#include <math.h>
+
+#define lib_math_c
+#define LUA_LIB
+
+#include "lua.h"
+#include "lauxlib.h"
+#include "lualib.h"
+
+#include "lj_obj.h"
+#include "lj_lib.h"
+#include "lj_vm.h"
+
+/* ------------------------------------------------------------------------ */
+
+#define LJLIB_MODULE_math
+
+LJLIB_ASM(math_abs) LJLIB_REC(.)
+{
+ lj_lib_checknumber(L, 1);
+ return FFH_RETRY;
+}
+LJLIB_ASM_(math_floor) LJLIB_REC(math_round IRFPM_FLOOR)
+LJLIB_ASM_(math_ceil) LJLIB_REC(math_round IRFPM_CEIL)
+
+LJLIB_ASM(math_sqrt) LJLIB_REC(math_unary IRFPM_SQRT)
+{
+ lj_lib_checknum(L, 1);
+ return FFH_RETRY;
+}
+LJLIB_ASM_(math_log10) LJLIB_REC(math_unary IRFPM_LOG10)
+LJLIB_ASM_(math_exp) LJLIB_REC(math_unary IRFPM_EXP)
+LJLIB_ASM_(math_sin) LJLIB_REC(math_unary IRFPM_SIN)
+LJLIB_ASM_(math_cos) LJLIB_REC(math_unary IRFPM_COS)
+LJLIB_ASM_(math_tan) LJLIB_REC(math_unary IRFPM_TAN)
+LJLIB_ASM_(math_asin) LJLIB_REC(math_atrig FF_math_asin)
+LJLIB_ASM_(math_acos) LJLIB_REC(math_atrig FF_math_acos)
+LJLIB_ASM_(math_atan) LJLIB_REC(math_atrig FF_math_atan)
+LJLIB_ASM_(math_sinh) LJLIB_REC(math_htrig IRCALL_sinh)
+LJLIB_ASM_(math_cosh) LJLIB_REC(math_htrig IRCALL_cosh)
+LJLIB_ASM_(math_tanh) LJLIB_REC(math_htrig IRCALL_tanh)
+LJLIB_ASM_(math_frexp)
+LJLIB_ASM_(math_modf) LJLIB_REC(.)
+
+LJLIB_ASM(math_log) LJLIB_REC(math_log)
+{
+ double x = lj_lib_checknum(L, 1);
+ if (L->base+1 < L->top) {
+ double y = lj_lib_checknum(L, 2);
+#ifdef LUAJIT_NO_LOG2
+ x = log(x); y = 1.0 / log(y);
+#else
+ x = lj_vm_log2(x); y = 1.0 / lj_vm_log2(y);
+#endif
+ setnumV(L->base-1-LJ_FR2, x*y); /* Do NOT join the expression to x / y. */
+ return FFH_RES(1);
+ }
+ return FFH_RETRY;
+}
+
+LJLIB_LUA(math_deg) /* function(x) return x * 57.29577951308232 end */
+LJLIB_LUA(math_rad) /* function(x) return x * 0.017453292519943295 end */
+
+LJLIB_ASM(math_atan2) LJLIB_REC(.)
+{
+ lj_lib_checknum(L, 1);
+ lj_lib_checknum(L, 2);
+ return FFH_RETRY;
+}
+LJLIB_ASM_(math_pow) LJLIB_REC(.)
+LJLIB_ASM_(math_fmod)
+
+LJLIB_ASM(math_ldexp) LJLIB_REC(.)
+{
+ lj_lib_checknum(L, 1);
+#if LJ_DUALNUM && !LJ_TARGET_X86ORX64
+ lj_lib_checkint(L, 2);
+#else
+ lj_lib_checknum(L, 2);
+#endif
+ return FFH_RETRY;
+}
+
+LJLIB_ASM(math_min) LJLIB_REC(math_minmax IR_MIN)
+{
+ int i = 0;
+ do { lj_lib_checknumber(L, ++i); } while (L->base+i < L->top);
+ return FFH_RETRY;
+}
+LJLIB_ASM_(math_max) LJLIB_REC(math_minmax IR_MAX)
+
+LJLIB_PUSH(3.14159265358979323846) LJLIB_SET(pi)
+LJLIB_PUSH(1e310) LJLIB_SET(huge)
+
+/* ------------------------------------------------------------------------ */
+
+/* This implements a Tausworthe PRNG with period 2^223. Based on:
+** Tables of maximally-equidistributed combined LFSR generators,
+** Pierre L'Ecuyer, 1991, table 3, 1st entry.
+** Full-period ME-CF generator with L=64, J=4, k=223, N1=49.
+*/
+
+/* PRNG state. */
+struct RandomState {
+ uint64_t gen[4]; /* State of the 4 LFSR generators. */
+ int valid; /* State is valid. */
+};
+
+/* Union needed for bit-pattern conversion between uint64_t and double. */
+typedef union { uint64_t u64; double d; } U64double;
+
+/* Update generator i and compute a running xor of all states. */
+#define TW223_GEN(i, k, q, s) \
+ z = rs->gen[i]; \
+ z = (((z<<q)^z) >> (k-s)) ^ ((z&((uint64_t)(int64_t)-1 << (64-k)))<<s); \
+ r ^= z; rs->gen[i] = z;
+
+/* PRNG step function. Returns a double in the range 1.0 <= d < 2.0. */
+LJ_NOINLINE uint64_t LJ_FASTCALL lj_math_random_step(RandomState *rs)
+{
+ uint64_t z, r = 0;
+ TW223_GEN(0, 63, 31, 18)
+ TW223_GEN(1, 58, 19, 28)
+ TW223_GEN(2, 55, 24, 7)
+ TW223_GEN(3, 47, 21, 8)
+ return (r & U64x(000fffff,ffffffff)) | U64x(3ff00000,00000000);
+}
+
+/* PRNG initialization function. */
+static void random_init(RandomState *rs, double d)
+{
+ uint32_t r = 0x11090601; /* 64-k[i] as four 8 bit constants. */
+ int i;
+ for (i = 0; i < 4; i++) {
+ U64double u;
+ uint32_t m = 1u << (r&255);
+ r >>= 8;
+ u.d = d = d * 3.14159265358979323846 + 2.7182818284590452354;
+ if (u.u64 < m) u.u64 += m; /* Ensure k[i] MSB of gen[i] are non-zero. */
+ rs->gen[i] = u.u64;
+ }
+ rs->valid = 1;
+ for (i = 0; i < 10; i++)
+ lj_math_random_step(rs);
+}
+
+/* PRNG extract function. */
+LJLIB_PUSH(top-2) /* Upvalue holds userdata with RandomState. */
+LJLIB_CF(math_random) LJLIB_REC(.)
+{
+ int n = (int)(L->top - L->base);
+ RandomState *rs = (RandomState *)(uddata(udataV(lj_lib_upvalue(L, 1))));
+ U64double u;
+ double d;
+ if (LJ_UNLIKELY(!rs->valid)) random_init(rs, 0.0);
+ u.u64 = lj_math_random_step(rs);
+ d = u.d - 1.0;
+ if (n > 0) {
+#if LJ_DUALNUM
+ int isint = 1;
+ double r1;
+ lj_lib_checknumber(L, 1);
+ if (tvisint(L->base)) {
+ r1 = (lua_Number)intV(L->base);
+ } else {
+ isint = 0;
+ r1 = numV(L->base);
+ }
+#else
+ double r1 = lj_lib_checknum(L, 1);
+#endif
+ if (n == 1) {
+ d = lj_vm_floor(d*r1) + 1.0; /* d is an int in range [1, r1] */
+ } else {
+#if LJ_DUALNUM
+ double r2;
+ lj_lib_checknumber(L, 2);
+ if (tvisint(L->base+1)) {
+ r2 = (lua_Number)intV(L->base+1);
+ } else {
+ isint = 0;
+ r2 = numV(L->base+1);
+ }
+#else
+ double r2 = lj_lib_checknum(L, 2);
+#endif
+ d = lj_vm_floor(d*(r2-r1+1.0)) + r1; /* d is an int in range [r1, r2] */
+ }
+#if LJ_DUALNUM
+ if (isint) {
+ setintV(L->top-1, lj_num2int(d));
+ return 1;
+ }
+#endif
+ } /* else: d is a double in range [0, 1] */
+ setnumV(L->top++, d);
+ return 1;
+}
+
+/* PRNG seed function. */
+LJLIB_PUSH(top-2) /* Upvalue holds userdata with RandomState. */
+LJLIB_CF(math_randomseed)
+{
+ RandomState *rs = (RandomState *)(uddata(udataV(lj_lib_upvalue(L, 1))));
+ random_init(rs, lj_lib_checknum(L, 1));
+ return 0;
+}
+
+/* ------------------------------------------------------------------------ */
+
+#include "lj_libdef.h"
+
+LUALIB_API int luaopen_math(lua_State *L)
+{
+ RandomState *rs;
+ rs = (RandomState *)lua_newuserdata(L, sizeof(RandomState));
+ rs->valid = 0; /* Use lazy initialization to save some time on startup. */
+ LJ_LIB_REG(L, LUA_MATHLIBNAME, math);
+#if defined(LUA_COMPAT_MOD) && !LJ_52
+ lua_getfield(L, -1, "fmod");
+ lua_setfield(L, -2, "mod");
+#endif
+ return 1;
+}
+