284 lines
6.4 KiB
C
284 lines
6.4 KiB
C
/*
|
|
** $Id: lmathlib.c,v 1.80 2011/07/05 12:49:35 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)
|
|
|
|
|
|
/* macro 'l_tg' allows the addition of an 'l' or 'f' to all math operations */
|
|
#if !defined(l_tg)
|
|
#define l_tg(x) (x)
|
|
#endif
|
|
|
|
|
|
|
|
static int math_abs (lua_State *L) {
|
|
lua_pushnumber(L, l_tg(fabs)(luaL_checknumber(L, 1)));
|
|
return 1;
|
|
}
|
|
|
|
static int math_sin (lua_State *L) {
|
|
lua_pushnumber(L, l_tg(sin)(luaL_checknumber(L, 1)));
|
|
return 1;
|
|
}
|
|
|
|
static int math_sinh (lua_State *L) {
|
|
lua_pushnumber(L, l_tg(sinh)(luaL_checknumber(L, 1)));
|
|
return 1;
|
|
}
|
|
|
|
static int math_cos (lua_State *L) {
|
|
lua_pushnumber(L, l_tg(cos)(luaL_checknumber(L, 1)));
|
|
return 1;
|
|
}
|
|
|
|
static int math_cosh (lua_State *L) {
|
|
lua_pushnumber(L, l_tg(cosh)(luaL_checknumber(L, 1)));
|
|
return 1;
|
|
}
|
|
|
|
static int math_tan (lua_State *L) {
|
|
lua_pushnumber(L, l_tg(tan)(luaL_checknumber(L, 1)));
|
|
return 1;
|
|
}
|
|
|
|
static int math_tanh (lua_State *L) {
|
|
lua_pushnumber(L, l_tg(tanh)(luaL_checknumber(L, 1)));
|
|
return 1;
|
|
}
|
|
|
|
static int math_asin (lua_State *L) {
|
|
lua_pushnumber(L, l_tg(asin)(luaL_checknumber(L, 1)));
|
|
return 1;
|
|
}
|
|
|
|
static int math_acos (lua_State *L) {
|
|
lua_pushnumber(L, l_tg(acos)(luaL_checknumber(L, 1)));
|
|
return 1;
|
|
}
|
|
|
|
static int math_atan (lua_State *L) {
|
|
lua_pushnumber(L, l_tg(atan)(luaL_checknumber(L, 1)));
|
|
return 1;
|
|
}
|
|
|
|
static int math_atan2 (lua_State *L) {
|
|
lua_pushnumber(L, l_tg(atan2)(luaL_checknumber(L, 1),
|
|
luaL_checknumber(L, 2)));
|
|
return 1;
|
|
}
|
|
|
|
static int math_ceil (lua_State *L) {
|
|
lua_pushnumber(L, l_tg(ceil)(luaL_checknumber(L, 1)));
|
|
return 1;
|
|
}
|
|
|
|
static int math_floor (lua_State *L) {
|
|
lua_pushnumber(L, l_tg(floor)(luaL_checknumber(L, 1)));
|
|
return 1;
|
|
}
|
|
|
|
static int math_fmod (lua_State *L) {
|
|
lua_pushnumber(L, l_tg(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_tg(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_tg(sqrt)(luaL_checknumber(L, 1)));
|
|
return 1;
|
|
}
|
|
|
|
static int math_pow (lua_State *L) {
|
|
lua_pushnumber(L, l_tg(pow)(luaL_checknumber(L, 1),
|
|
luaL_checknumber(L, 2)));
|
|
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_tg(log)(x);
|
|
else {
|
|
lua_Number base = luaL_checknumber(L, 2);
|
|
if (base == 10.0) res = l_tg(log10)(x);
|
|
else res = l_tg(log)(x)/l_tg(log)(base);
|
|
}
|
|
lua_pushnumber(L, res);
|
|
return 1;
|
|
}
|
|
|
|
#if defined(LUA_COMPAT_LOG10)
|
|
static int math_log10 (lua_State *L) {
|
|
lua_pushnumber(L, l_tg(log10)(luaL_checknumber(L, 1)));
|
|
return 1;
|
|
}
|
|
#endif
|
|
|
|
static int math_exp (lua_State *L) {
|
|
lua_pushnumber(L, l_tg(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_tg(frexp)(luaL_checknumber(L, 1), &e));
|
|
lua_pushinteger(L, e);
|
|
return 2;
|
|
}
|
|
|
|
static int math_ldexp (lua_State *L) {
|
|
lua_pushnumber(L, l_tg(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 */
|
|
lua_Number u = luaL_checknumber(L, 1);
|
|
luaL_argcheck(L, 1.0 <= u, 1, "interval is empty");
|
|
lua_pushnumber(L, l_tg(floor)(r*u) + 1.0); /* int in [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_tg(floor)(r*(u-l+1)) + l); /* int in [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;
|
|
}
|
|
|