/*
** $Id: lmathlib.c,v 1.83.1.1 2013/04/12 18:48:47 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 ((lua_Number)(3.1415926535897932384626433832795))
#define RADIANS_PER_DEGREE ((lua_Number)(PI/180.0))
static int math_abs (lua_State *L) {
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_sinh (lua_State *L) {
lua_pushnumber
(L
, l_mathop
(sinh)(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_cosh (lua_State *L) {
lua_pushnumber
(L
, l_mathop
(cosh)(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_tanh (lua_State *L) {
lua_pushnumber
(L
, l_mathop
(tanh)(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_pushnumber
(L
, l_mathop
(atan)(luaL_checknumber
(L
, 1)));
return 1;
}
static int math_atan2 (lua_State *L) {
lua_pushnumber
(L
, l_mathop
(atan2)(luaL_checknumber
(L
, 1),
luaL_checknumber(L, 2)));
return 1;
}
static int math_ceil (lua_State *L) {
lua_pushnumber
(L
, l_mathop
(ceil)(luaL_checknumber
(L
, 1)));
return 1;
}
static int math_floor (lua_State *L) {
lua_pushnumber
(L
, l_mathop
(floor)(luaL_checknumber
(L
, 1)));
return 1;
}
static int math_fmod (lua_State *L) {
lua_pushnumber(L, l_mathop(fmod)(luaL_checknumber(L, 1),
luaL_checknumber(L, 2)));
return 1;
}
static int math_modf (lua_State *L) {
lua_Number ip;
lua_Number fp
= l_mathop
(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
, l_mathop
(sqrt)(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_log (lua_State *L) {
lua_Number x = luaL_checknumber(L, 1);
lua_Number res;
if (lua_isnoneornil(L, 2))
else {
lua_Number base = luaL_checknumber(L, 2);
if (base
== (lua_Number
)10.0) res
= l_mathop
(log10)(x
);
else res
= l_mathop
(log)(x
)/l_mathop
(log)(base
);
}
lua_pushnumber(L, res);
return 1;
}
#if defined(LUA_COMPAT_LOG10)
static int math_log10 (lua_State *L) {
lua_pushnumber
(L
, l_mathop
(log10)(luaL_checknumber
(L
, 1)));
return 1;
}
#endif
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)/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
, 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 = luaL_checkint(L, 2);
lua_pushnumber
(L
, l_mathop
(ldexp)(x
, ep
));
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 */
lua_Number u = luaL_checknumber(L, 1);
luaL_argcheck(L, (lua_Number)1.0 <= u, 1, "interval is empty");
lua_pushnumber
(L
, l_mathop
(floor)(r
*u
) + (lua_Number
)(1.0)); /* [1, u] */
break;
}
case 2: { /* lower and upper limits */
lua_Number l = luaL_checknumber(L, 1);
lua_Number u = luaL_checknumber(L, 2);
luaL_argcheck(L, l <= u, 2, "interval is empty");
lua_pushnumber
(L
, l_mathop
(floor)(r
*(u
-l
+1)) + l
); /* [l, u] */
break;
}
default: return luaL_error(L, "wrong number of arguments");
}
return 1;
}
static int math_randomseed (lua_State *L) {
srand(luaL_checkunsigned
(L
, 1));
(void)rand(); /* discard first value to avoid undesirable correlations */
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},
#if defined(LUA_COMPAT_LOG10)
{"log10", math_log10},
#endif
{"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
*/
LUAMOD_API int luaopen_math (lua_State *L) {
luaL_newlib(L, mathlib);
lua_pushnumber(L, PI);
lua_setfield(L, -2, "pi");
lua_pushnumber(L, HUGE_VAL);
lua_setfield(L, -2, "huge");
return 1;
}