/*

** $Id: lmathlib.c,v 1.67.1.1 2007/12/27 13:02:25 roberto Exp $

** Standard mathematical library

** See Copyright Notice in lua.h

*/

#include <stdlib.h>

#include <math.h>

#define lmathlib_c

#define LUA_LIB

#include "lua.h"

#include "lauxlib.h"

#include "lualib.h"

#undef PI

#define PI (3.14159265358979323846)

#define RADIANS_PER_DEGREE (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, PI);

lua_setfield(L, -2, "pi");

lua_pushnumber(L, HUGE_VAL);

lua_setfield(L, -2, "huge");

#if defined(LUA_COMPAT_MOD)

lua_getfield(L, -1, "fmod");

lua_setfield(L, -2, "mod");

#endif

return 1;

}