/*
** $Id$
** Standard mathematical library
** See Copyright Notice in lua.h
*/


#include <stdlib.h>
// MSVC does not define M_PI, M_SQRT2 and other math defines by default.
// _USE_MATH_DEFINES must be defined in order to have these defined, thus
// we enable it here. For more information, check:
// http://msdn.microsoft.com/en-us/library/4hwaceh6(v=VS.100).aspx
#define _USE_MATH_DEFINES
#include <math.h>

#define lmathlib_c
#define LUA_LIB

#include "lua.h"

#include "lauxlib.h"
#include "lualib.h"

#define RADIANS_PER_DEGREE (M_PI/180.0)

static int math_abs (lua_State *L) {
  lua_pushnumber(L, fabs(luaL_checknumber(L, 1)));
  return 1;
}

static int math_sin (lua_State *L) {
  lua_pushnumber(L, sin(luaL_checknumber(L, 1)));
  return 1;
}

static int math_sinh (lua_State *L) {
  lua_pushnumber(L, sinh(luaL_checknumber(L, 1)));
  return 1;
}

static int math_cos (lua_State *L) {
  lua_pushnumber(L, cos(luaL_checknumber(L, 1)));
  return 1;
}

static int math_cosh (lua_State *L) {
  lua_pushnumber(L, cosh(luaL_checknumber(L, 1)));
  return 1;
}

static int math_tan (lua_State *L) {
  lua_pushnumber(L, tan(luaL_checknumber(L, 1)));
  return 1;
}

static int math_tanh (lua_State *L) {
  lua_pushnumber(L, tanh(luaL_checknumber(L, 1)));
  return 1;
}

static int math_asin (lua_State *L) {
  lua_pushnumber(L, asin(luaL_checknumber(L, 1)));
  return 1;
}

static int math_acos (lua_State *L) {
  lua_pushnumber(L, acos(luaL_checknumber(L, 1)));
  return 1;
}

static int math_atan (lua_State *L) {
  lua_pushnumber(L, atan(luaL_checknumber(L, 1)));
  return 1;
}

static int math_atan2 (lua_State *L) {
  lua_pushnumber(L, atan2(luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
  return 1;
}

static int math_ceil (lua_State *L) {
  lua_pushnumber(L, ceil(luaL_checknumber(L, 1)));
  return 1;
}

static int math_floor (lua_State *L) {
  lua_pushnumber(L, floor(luaL_checknumber(L, 1)));
  return 1;
}

static int math_fmod (lua_State *L) {
  lua_pushnumber(L, fmod(luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
  return 1;
}

static int math_modf (lua_State *L) {
  double ip;
  double fp = modf(luaL_checknumber(L, 1), &ip);
  lua_pushnumber(L, ip);
  lua_pushnumber(L, fp);
  return 2;
}

static int math_sqrt (lua_State *L) {
  lua_pushnumber(L, sqrt(luaL_checknumber(L, 1)));
  return 1;
}

static int math_pow (lua_State *L) {
  lua_pushnumber(L, pow(luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
  return 1;
}

static int math_log (lua_State *L) {
  lua_pushnumber(L, log(luaL_checknumber(L, 1)));
  return 1;
}

static int math_log10 (lua_State *L) {
  lua_pushnumber(L, log10(luaL_checknumber(L, 1)));
  return 1;
}

static int math_exp (lua_State *L) {
  lua_pushnumber(L, exp(luaL_checknumber(L, 1)));
  return 1;
}

static int math_deg (lua_State *L) {
  lua_pushnumber(L, luaL_checknumber(L, 1)/RADIANS_PER_DEGREE);
  return 1;
}

static int math_rad (lua_State *L) {
  lua_pushnumber(L, luaL_checknumber(L, 1)*RADIANS_PER_DEGREE);
  return 1;
}

static int math_frexp (lua_State *L) {
  int e;
  lua_pushnumber(L, frexp(luaL_checknumber(L, 1), &e));
  lua_pushinteger(L, e);
  return 2;
}

static int math_ldexp (lua_State *L) {
  lua_pushnumber(L, ldexp(luaL_checknumber(L, 1), luaL_checkint(L, 2)));
  return 1;
}



static int math_min (lua_State *L) {
  int n = lua_gettop(L);  /* number of arguments */
  lua_Number dmin = luaL_checknumber(L, 1);
  int i;
  for (i=2; i<=n; i++) {
    lua_Number d = luaL_checknumber(L, i);
    if (d < dmin)
      dmin = d;
  }
  lua_pushnumber(L, dmin);
  return 1;
}


static int math_max (lua_State *L) {
  int n = lua_gettop(L);  /* number of arguments */
  lua_Number dmax = luaL_checknumber(L, 1);
  int i;
  for (i=2; i<=n; i++) {
    lua_Number d = luaL_checknumber(L, i);
    if (d > dmax)
      dmax = d;
  }
  lua_pushnumber(L, dmax);
  return 1;
}


static int math_random (lua_State *L) {
  /* the `%' avoids the (rare) case of r==1, and is needed also because on
     some systems (SunOS!) `rand()' may return a value larger than RAND_MAX */
  lua_Number r = (lua_Number)(rand()%RAND_MAX) / (lua_Number)RAND_MAX;
  switch (lua_gettop(L)) {  /* check number of arguments */
    case 0: {  /* no arguments */
      lua_pushnumber(L, r);  /* Number between 0 and 1 */
      break;
    }
    case 1: {  /* only upper limit */
      int u = luaL_checkint(L, 1);
      luaL_argcheck(L, 1<=u, 1, "interval is empty");
      lua_pushnumber(L, floor(r*u)+1);  /* int between 1 and `u' */
      break;
    }
    case 2: {  /* lower and upper limits */
      int l = luaL_checkint(L, 1);
      int u = luaL_checkint(L, 2);
      luaL_argcheck(L, l<=u, 2, "interval is empty");
      lua_pushnumber(L, floor(r*(u-l+1))+l);  /* int between `l' and `u' */
      break;
    }
    default: return luaL_error(L, "wrong number of arguments");
  }
  return 1;
}


static int math_randomseed (lua_State *L) {
  srand(luaL_checkint(L, 1));
  return 0;
}


static const luaL_Reg mathlib[] = {
  {"abs",   math_abs},
  {"acos",  math_acos},
  {"asin",  math_asin},
  {"atan2", math_atan2},
  {"atan",  math_atan},
  {"ceil",  math_ceil},
  {"cosh",   math_cosh},
  {"cos",   math_cos},
  {"deg",   math_deg},
  {"exp",   math_exp},
  {"floor", math_floor},
  {"fmod",   math_fmod},
  {"frexp", math_frexp},
  {"ldexp", math_ldexp},
  {"log10", math_log10},
  {"log",   math_log},
  {"max",   math_max},
  {"min",   math_min},
  {"modf",   math_modf},
  {"pow",   math_pow},
  {"rad",   math_rad},
  {"random",     math_random},
  {"randomseed", math_randomseed},
  {"sinh",   math_sinh},
  {"sin",   math_sin},
  {"sqrt",  math_sqrt},
  {"tanh",   math_tanh},
  {"tan",   math_tan},
  {NULL, NULL}
};


/*
** Open math library
*/
LUALIB_API int luaopen_math (lua_State *L) {
  luaL_register(L, LUA_MATHLIBNAME, mathlib);
  lua_pushnumber(L, M_PI);
  lua_setfield(L, -2, "pi");
#if defined(MACOSX) && defined(__GNUC__) && ! defined( __XLC__ )
  // WORKAROUND for a bug in the Mac OS X 10.2.8 SDK. It defines
  // HUGE_VAL simply to 1e500, leading to this compiler error:
  //   error: floating constant exceeds range of 'double'
  // However, GCC (at least the version we are using for our cross
  // compiler) has a __builtin_huge_val which returns the correct
  // value, so we just use that.
  lua_pushnumber(L, __builtin_huge_val());
#else
  lua_pushnumber(L, HUGE_VAL);
#endif
  lua_setfield(L, -2, "huge");
#if defined(LUA_COMPAT_MOD)
  lua_getfield(L, -1, "fmod");
  lua_setfield(L, -2, "mod");
#endif
  return 1;
}