lua/lmathlib.c
2013-06-13 16:32:52 -03:00

308 lines
7.1 KiB
C

/*
** $Id: lmathlib.c,v 1.86 2013/05/26 13:45:24 roberto Exp roberto $
** 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))
/* types for lua_Number pointers subject to 'l_mathop' changes */
typedef float l_pnumf;
typedef double l_pnum;
typedef long double l_pnuml;
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) {
l_mathop(l_pnum) 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))
res = l_mathop(log)(x);
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;
lua_Integer low, up;
switch (lua_gettop(L)) { /* check number of arguments */
case 0: { /* no arguments */
lua_pushnumber(L, 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] */
up++; /* change interval to [low, up) */
luaL_argcheck(L, up - low > 0, 1, "interval is empty");
lua_pushinteger(L, (lua_Integer)(r * (lua_Number)(up - low)) + low);
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 int math_isfloat (lua_State *L) {
luaL_checkany(L, 1);
lua_pushboolean(L, (lua_type(L, 1) == LUA_TNUMBER && !lua_isinteger(L, 1)));
return 1;
}
static int math_numbits (lua_State *L) {
const char *s = luaL_checkstring(L, 1);
if (*s == 'i')
lua_pushinteger(L, sizeof(lua_Integer) * CHAR_BIT);
else if (*s == 'f')
lua_pushinteger(L, sizeof(lua_Number) * CHAR_BIT);
else
luaL_argerror(L, 1, lua_pushfstring(L, "invalid option '%s'", s));
return 1;
}
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},
{"isfloat", math_isfloat},
{"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},
{"numbits", math_numbits},
{"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;
}