1 files changed, 410 insertions, 0 deletions

diff --git a/src/lua-5.3/lmathlib.c b/src/lua-5.3/lmathlib.c
new file mode 100644
index 0000000..7ef7e59
--- /dev/null
+++ b/src/lua-5.3/lmathlib.c
@@ -0,0 +1,410 @@
+/*
+** $Id: lmathlib.c,v 1.119.1.1 2017/04/19 17:20:42 roberto Exp $
+** Standard mathematical library
+** See Copyright Notice in lua.h
+*/
+
+#define lmathlib_c
+#define LUA_LIB
+
+#include "lprefix.h"
+
+
+#include <stdlib.h>
+#include <math.h>
+
+#include "lua.h"
+
+#include "lauxlib.h"
+#include "lualib.h"
+
+
+#undef PI
+#define PI      (l_mathop(3.141592653589793238462643383279502884))
+
+
+#if !defined(l_rand)            /* { */
+#if defined(LUA_USE_POSIX)
+#define l_rand()        random()
+#define l_srand(x)      srandom(x)
+#define L_RANDMAX       2147483647      /* (2^31 - 1), following POSIX */
+#else
+#define l_rand()        rand()
+#define l_srand(x)      srand(x)
+#define L_RANDMAX       RAND_MAX
+#endif
+#endif                          /* } */
+
+
+static int math_abs (lua_State *L) {
+  if (lua_isinteger(L, 1)) {
+    lua_Integer n = lua_tointeger(L, 1);
+    if (n < 0) n = (lua_Integer)(0u - (lua_Unsigned)n);
+    lua_pushinteger(L, n);
+  }
+  else
+    lua_pushnumber(L, l_mathop(fabs)(luaL_checknumber(L, 1)));
+  return 1;
+}
+
+static int math_sin (lua_State *L) {
+  lua_pushnumber(L, l_mathop(sin)(luaL_checknumber(L, 1)));
+  return 1;
+}
+
+static int math_cos (lua_State *L) {
+  lua_pushnumber(L, l_mathop(cos)(luaL_checknumber(L, 1)));
+  return 1;
+}
+
+static int math_tan (lua_State *L) {
+  lua_pushnumber(L, l_mathop(tan)(luaL_checknumber(L, 1)));
+  return 1;
+}
+
+static int math_asin (lua_State *L) {
+  lua_pushnumber(L, l_mathop(asin)(luaL_checknumber(L, 1)));
+  return 1;
+}
+
+static int math_acos (lua_State *L) {
+  lua_pushnumber(L, l_mathop(acos)(luaL_checknumber(L, 1)));
+  return 1;
+}
+
+static int math_atan (lua_State *L) {
+  lua_Number y = luaL_checknumber(L, 1);
+  lua_Number x = luaL_optnumber(L, 2, 1);
+  lua_pushnumber(L, l_mathop(atan2)(y, x));
+  return 1;
+}
+
+
+static int math_toint (lua_State *L) {
+  int valid;
+  lua_Integer n = lua_tointegerx(L, 1, &valid);
+  if (valid)
+    lua_pushinteger(L, n);
+  else {
+    luaL_checkany(L, 1);
+    lua_pushnil(L);  /* value is not convertible to integer */
+  }
+  return 1;
+}
+
+
+static void pushnumint (lua_State *L, lua_Number d) {
+  lua_Integer n;
+  if (lua_numbertointeger(d, &n))  /* does 'd' fit in an integer? */
+    lua_pushinteger(L, n);  /* result is integer */
+  else
+    lua_pushnumber(L, d);  /* result is float */
+}
+
+
+static int math_floor (lua_State *L) {
+  if (lua_isinteger(L, 1))
+    lua_settop(L, 1);  /* integer is its own floor */
+  else {
+    lua_Number d = l_mathop(floor)(luaL_checknumber(L, 1));
+    pushnumint(L, d);
+  }
+  return 1;
+}
+
+
+static int math_ceil (lua_State *L) {
+  if (lua_isinteger(L, 1))
+    lua_settop(L, 1);  /* integer is its own ceil */
+  else {
+    lua_Number d = l_mathop(ceil)(luaL_checknumber(L, 1));
+    pushnumint(L, d);
+  }
+  return 1;
+}
+
+
+static int math_fmod (lua_State *L) {
+  if (lua_isinteger(L, 1) && lua_isinteger(L, 2)) {
+    lua_Integer d = lua_tointeger(L, 2);
+    if ((lua_Unsigned)d + 1u <= 1u) {  /* special cases: -1 or 0 */
+      luaL_argcheck(L, d != 0, 2, "zero");
+      lua_pushinteger(L, 0);  /* avoid overflow with 0x80000... / -1 */
+    }
+    else
+      lua_pushinteger(L, lua_tointeger(L, 1) % d);
+  }
+  else
+    lua_pushnumber(L, l_mathop(fmod)(luaL_checknumber(L, 1),
+                                     luaL_checknumber(L, 2)));
+  return 1;
+}
+
+
+/*
+** next function does not use 'modf', avoiding problems with 'double*'
+** (which is not compatible with 'float*') when lua_Number is not
+** 'double'.
+*/
+static int math_modf (lua_State *L) {
+  if (lua_isinteger(L ,1)) {
+    lua_settop(L, 1);  /* number is its own integer part */
+    lua_pushnumber(L, 0);  /* no fractional part */
+  }
+  else {
+    lua_Number n = luaL_checknumber(L, 1);
+    /* integer part (rounds toward zero) */
+    lua_Number ip = (n < 0) ? l_mathop(ceil)(n) : l_mathop(floor)(n);
+    pushnumint(L, ip);
+    /* fractional part (test needed for inf/-inf) */
+    lua_pushnumber(L, (n == ip) ? l_mathop(0.0) : (n - ip));
+  }
+  return 2;
+}
+
+
+static int math_sqrt (lua_State *L) {
+  lua_pushnumber(L, l_mathop(sqrt)(luaL_checknumber(L, 1)));
+  return 1;
+}
+
+
+static int math_ult (lua_State *L) {
+  lua_Integer a = luaL_checkinteger(L, 1);
+  lua_Integer b = luaL_checkinteger(L, 2);
+  lua_pushboolean(L, (lua_Unsigned)a < (lua_Unsigned)b);
+  return 1;
+}
+
+static int math_log (lua_State *L) {
+  lua_Number x = luaL_checknumber(L, 1);
+  lua_Number res;
+  if (lua_isnoneornil(L, 2))
+    res = l_mathop(log)(x);
+  else {
+    lua_Number base = luaL_checknumber(L, 2);
+#if !defined(LUA_USE_C89)
+    if (base == l_mathop(2.0))
+      res = l_mathop(log2)(x); else
+#endif
+    if (base == l_mathop(10.0))
+      res = l_mathop(log10)(x);
+    else
+      res = l_mathop(log)(x)/l_mathop(log)(base);
+  }
+  lua_pushnumber(L, res);
+  return 1;
+}
+
+static int math_exp (lua_State *L) {
+  lua_pushnumber(L, l_mathop(exp)(luaL_checknumber(L, 1)));
+  return 1;
+}
+
+static int math_deg (lua_State *L) {
+  lua_pushnumber(L, luaL_checknumber(L, 1) * (l_mathop(180.0) / PI));
+  return 1;
+}
+
+static int math_rad (lua_State *L) {
+  lua_pushnumber(L, luaL_checknumber(L, 1) * (PI / l_mathop(180.0)));
+  return 1;
+}
+
+
+static int math_min (lua_State *L) {
+  int n = lua_gettop(L);  /* number of arguments */
+  int imin = 1;  /* index of current minimum value */
+  int i;
+  luaL_argcheck(L, n >= 1, 1, "value expected");
+  for (i = 2; i <= n; i++) {
+    if (lua_compare(L, i, imin, LUA_OPLT))
+      imin = i;
+  }
+  lua_pushvalue(L, imin);
+  return 1;
+}
+
+
+static int math_max (lua_State *L) {
+  int n = lua_gettop(L);  /* number of arguments */
+  int imax = 1;  /* index of current maximum value */
+  int i;
+  luaL_argcheck(L, n >= 1, 1, "value expected");
+  for (i = 2; i <= n; i++) {
+    if (lua_compare(L, imax, i, LUA_OPLT))
+      imax = i;
+  }
+  lua_pushvalue(L, imax);
+  return 1;
+}
+
+/*
+** This function uses 'double' (instead of 'lua_Number') to ensure that
+** all bits from 'l_rand' can be represented, and that 'RANDMAX + 1.0'
+** will keep full precision (ensuring that 'r' is always less than 1.0.)
+*/
+static int math_random (lua_State *L) {
+  lua_Integer low, up;
+  double r = (double)l_rand() * (1.0 / ((double)L_RANDMAX + 1.0));
+  switch (lua_gettop(L)) {  /* check number of arguments */
+    case 0: {  /* no arguments */
+      lua_pushnumber(L, (lua_Number)r);  /* Number between 0 and 1 */
+      return 1;
+    }
+    case 1: {  /* only upper limit */
+      low = 1;
+      up = luaL_checkinteger(L, 1);
+      break;
+    }
+    case 2: {  /* lower and upper limits */
+      low = luaL_checkinteger(L, 1);
+      up = luaL_checkinteger(L, 2);
+      break;
+    }
+    default: return luaL_error(L, "wrong number of arguments");
+  }
+  /* random integer in the interval [low, up] */
+  luaL_argcheck(L, low <= up, 1, "interval is empty");
+  luaL_argcheck(L, low >= 0 || up <= LUA_MAXINTEGER + low, 1,
+                   "interval too large");
+  r *= (double)(up - low) + 1.0;
+  lua_pushinteger(L, (lua_Integer)r + low);
+  return 1;
+}
+
+
+static int math_randomseed (lua_State *L) {
+  l_srand((unsigned int)(lua_Integer)luaL_checknumber(L, 1));
+  (void)l_rand(); /* discard first value to avoid undesirable correlations */
+  return 0;
+}
+
+
+static int math_type (lua_State *L) {
+  if (lua_type(L, 1) == LUA_TNUMBER) {
+      if (lua_isinteger(L, 1))
+        lua_pushliteral(L, "integer");
+      else
+        lua_pushliteral(L, "float");
+  }
+  else {
+    luaL_checkany(L, 1);
+    lua_pushnil(L);
+  }
+  return 1;
+}
+
+
+/*
+** {==================================================================
+** Deprecated functions (for compatibility only)
+** ===================================================================
+*/
+#if defined(LUA_COMPAT_MATHLIB)
+
+static int math_cosh (lua_State *L) {
+  lua_pushnumber(L, l_mathop(cosh)(luaL_checknumber(L, 1)));
+  return 1;
+}
+
+static int math_sinh (lua_State *L) {
+  lua_pushnumber(L, l_mathop(sinh)(luaL_checknumber(L, 1)));
+  return 1;
+}
+
+static int math_tanh (lua_State *L) {
+  lua_pushnumber(L, l_mathop(tanh)(luaL_checknumber(L, 1)));
+  return 1;
+}
+
+static int math_pow (lua_State *L) {
+  lua_Number x = luaL_checknumber(L, 1);
+  lua_Number y = luaL_checknumber(L, 2);
+  lua_pushnumber(L, l_mathop(pow)(x, y));
+  return 1;
+}
+
+static int math_frexp (lua_State *L) {
+  int e;
+  lua_pushnumber(L, l_mathop(frexp)(luaL_checknumber(L, 1), &e));
+  lua_pushinteger(L, e);
+  return 2;
+}
+
+static int math_ldexp (lua_State *L) {
+  lua_Number x = luaL_checknumber(L, 1);
+  int ep = (int)luaL_checkinteger(L, 2);
+  lua_pushnumber(L, l_mathop(ldexp)(x, ep));
+  return 1;
+}
+
+static int math_log10 (lua_State *L) {
+  lua_pushnumber(L, l_mathop(log10)(luaL_checknumber(L, 1)));
+  return 1;
+}
+
+#endif
+/* }================================================================== */
+
+
+
+static const luaL_Reg mathlib[] = {
+  {"abs",   math_abs},
+  {"acos",  math_acos},
+  {"asin",  math_asin},
+  {"atan",  math_atan},
+  {"ceil",  math_ceil},
+  {"cos",   math_cos},
+  {"deg",   math_deg},
+  {"exp",   math_exp},
+  {"tointeger", math_toint},
+  {"floor", math_floor},
+  {"fmod",   math_fmod},
+  {"ult",   math_ult},
+  {"log",   math_log},
+  {"max",   math_max},
+  {"min",   math_min},
+  {"modf",   math_modf},
+  {"rad",   math_rad},
+  {"random",     math_random},
+  {"randomseed", math_randomseed},
+  {"sin",   math_sin},
+  {"sqrt",  math_sqrt},
+  {"tan",   math_tan},
+  {"type", math_type},
+#if defined(LUA_COMPAT_MATHLIB)
+  {"atan2", math_atan},
+  {"cosh",   math_cosh},
+  {"sinh",   math_sinh},
+  {"tanh",   math_tanh},
+  {"pow",   math_pow},
+  {"frexp", math_frexp},
+  {"ldexp", math_ldexp},
+  {"log10", math_log10},
+#endif
+  /* placeholders */
+  {"pi", NULL},
+  {"huge", NULL},
+  {"maxinteger", NULL},
+  {"mininteger", NULL},
+  {NULL, NULL}
+};
+
+
+/*
+** Open math library
+*/
+LUAMOD_API int luaopen_math (lua_State *L) {
+  luaL_newlib(L, mathlib);
+  lua_pushnumber(L, PI);
+  lua_setfield(L, -2, "pi");
+  lua_pushnumber(L, (lua_Number)HUGE_VAL);
+  lua_setfield(L, -2, "huge");
+  lua_pushinteger(L, LUA_MAXINTEGER);
+  lua_setfield(L, -2, "maxinteger");
+  lua_pushinteger(L, LUA_MININTEGER);
+  lua_setfield(L, -2, "mininteger");
+  return 1;
+}
+