401 lines
9.7 KiB
C
401 lines
9.7 KiB
C
/*
|
|
** $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
|
|
*/
|
|
|
|
|
|
#define lmathlib_c
|
|
#define LUA_LIB
|
|
#define LUAC_CROSS_FILE
|
|
|
|
#include "lua.h"
|
|
#include C_HEADER_STDLIB
|
|
#include C_HEADER_MATH
|
|
|
|
#include "lauxlib.h"
|
|
#include "lualib.h"
|
|
#include "lrotable.h"
|
|
|
|
#undef PI
|
|
#define PI (3.14159265358979323846)
|
|
#define RADIANS_PER_DEGREE (PI/180.0)
|
|
|
|
|
|
|
|
static int math_abs (lua_State *L) {
|
|
#ifdef LUA_NUMBER_INTEGRAL
|
|
lua_Number x = luaL_checknumber(L, 1);
|
|
if (x < 0) x = -x; //fails for -2^31
|
|
lua_pushnumber(L, x);
|
|
#else
|
|
lua_pushnumber(L, fabs(luaL_checknumber(L, 1)));
|
|
#endif
|
|
return 1;
|
|
}
|
|
|
|
#ifndef LUA_NUMBER_INTEGRAL
|
|
#if 0
|
|
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;
|
|
}
|
|
#endif
|
|
|
|
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;
|
|
}
|
|
#if 0
|
|
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;
|
|
}
|
|
#endif
|
|
|
|
#else // #ifndef LUA_NUMBER_INTEGRAL
|
|
|
|
// In integer math, floor() and ceil() give the same value;
|
|
// having them in the integer library allows you to write code that
|
|
// works in both integer and floating point versions of Lua.
|
|
// This identity function is used for them.
|
|
|
|
static int math_identity (lua_State *L) {
|
|
lua_pushnumber(L, luaL_checknumber(L, 1));
|
|
return 1;
|
|
}
|
|
|
|
#endif // #ifndef LUA_NUMBER_INTEGRAL
|
|
|
|
#ifdef LUA_NUMBER_INTEGRAL
|
|
// Integer square root for integer version
|
|
static lua_Number isqrt(lua_Number x)
|
|
{
|
|
lua_Number op, res, one;
|
|
|
|
op = x; res = 0;
|
|
|
|
/* "one" starts at the highest power of four <= than the argument. */
|
|
one = 1 << 30; /* second-to-top bit set */
|
|
while (one > op) one >>= 2;
|
|
|
|
while (one != 0) {
|
|
if (op >= res + one) {
|
|
op = op - (res + one);
|
|
res = res + 2 * one;
|
|
}
|
|
res >>= 1;
|
|
one >>= 2;
|
|
}
|
|
return(res);
|
|
}
|
|
#endif
|
|
|
|
static int math_sqrt (lua_State *L) {
|
|
#ifdef LUA_NUMBER_INTEGRAL
|
|
lua_Number x = luaL_checknumber(L, 1);
|
|
luaL_argcheck(L, 0<=x, 1, "negative");
|
|
lua_pushnumber(L, isqrt(x));
|
|
#else
|
|
lua_pushnumber(L, sqrt(luaL_checknumber(L, 1)));
|
|
#endif
|
|
return 1;
|
|
}
|
|
|
|
#ifdef LUA_NUMBER_INTEGRAL
|
|
# define pow(a,b) luai_ipow(a,b)
|
|
#endif
|
|
|
|
static int math_pow (lua_State *L) {
|
|
lua_pushnumber(L, pow(luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
|
|
return 1;
|
|
}
|
|
|
|
#ifdef LUA_NUMBER_INTEGRAL
|
|
# undef pow
|
|
#endif
|
|
|
|
|
|
#ifndef LUA_NUMBER_INTEGRAL
|
|
#if 0
|
|
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;
|
|
}
|
|
#endif
|
|
|
|
#endif // #ifdef LUA_NUMBER_INTEGRAL
|
|
|
|
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;
|
|
}
|
|
|
|
|
|
#ifdef LUA_NUMBER_INTEGRAL
|
|
|
|
static int math_random (lua_State *L) {
|
|
lua_Number r = (lua_Number)(rand()%RAND_MAX);
|
|
|
|
switch (lua_gettop(L)) { /* check number of arguments */
|
|
case 0: { /* no arguments */
|
|
lua_pushnumber(L, 0); /* Number between 0 and 1 - always 0 with ints */
|
|
break;
|
|
}
|
|
case 1: { /* only upper limit */
|
|
int u = luaL_checkint(L, 1);
|
|
luaL_argcheck(L, 1<=u, 1, "interval is empty");
|
|
lua_pushnumber(L, (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, (r%(u-l+1))+l); /* int between `l' and `u' */
|
|
break;
|
|
}
|
|
default: return luaL_error(L, "wrong number of arguments");
|
|
}
|
|
return 1;
|
|
}
|
|
|
|
#else
|
|
|
|
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;
|
|
}
|
|
|
|
#endif
|
|
|
|
|
|
static int math_randomseed (lua_State *L) {
|
|
srand(luaL_checkint(L, 1));
|
|
return 0;
|
|
}
|
|
|
|
|
|
|
|
#undef MIN_OPT_LEVEL
|
|
#define MIN_OPT_LEVEL 1
|
|
#include "lrodefs.h"
|
|
const LUA_REG_TYPE math_map[] = {
|
|
#ifdef LUA_NUMBER_INTEGRAL
|
|
{LSTRKEY("abs"), LFUNCVAL(math_abs)},
|
|
{LSTRKEY("ceil"), LFUNCVAL(math_identity)},
|
|
{LSTRKEY("floor"), LFUNCVAL(math_identity)},
|
|
{LSTRKEY("max"), LFUNCVAL(math_max)},
|
|
{LSTRKEY("min"), LFUNCVAL(math_min)},
|
|
{LSTRKEY("pow"), LFUNCVAL(math_pow)},
|
|
{LSTRKEY("random"), LFUNCVAL(math_random)},
|
|
{LSTRKEY("randomseed"), LFUNCVAL(math_randomseed)},
|
|
{LSTRKEY("sqrt"), LFUNCVAL(math_sqrt)},
|
|
#if LUA_OPTIMIZE_MEMORY > 0
|
|
{LSTRKEY("huge"), LNUMVAL(LONG_MAX)},
|
|
#endif
|
|
#else
|
|
{LSTRKEY("abs"), LFUNCVAL(math_abs)},
|
|
// {LSTRKEY("acos"), LFUNCVAL(math_acos)},
|
|
// {LSTRKEY("asin"), LFUNCVAL(math_asin)},
|
|
// {LSTRKEY("atan2"), LFUNCVAL(math_atan2)},
|
|
// {LSTRKEY("atan"), LFUNCVAL(math_atan)},
|
|
{LSTRKEY("ceil"), LFUNCVAL(math_ceil)},
|
|
// {LSTRKEY("cosh"), LFUNCVAL(math_cosh)},
|
|
// {LSTRKEY("cos"), LFUNCVAL(math_cos)},
|
|
// {LSTRKEY("deg"), LFUNCVAL(math_deg)},
|
|
// {LSTRKEY("exp"), LFUNCVAL(math_exp)},
|
|
{LSTRKEY("floor"), LFUNCVAL(math_floor)},
|
|
// {LSTRKEY("fmod"), LFUNCVAL(math_fmod)},
|
|
#if LUA_OPTIMIZE_MEMORY > 0 && defined(LUA_COMPAT_MOD)
|
|
// {LSTRKEY("mod"), LFUNCVAL(math_fmod)},
|
|
#endif
|
|
// {LSTRKEY("frexp"), LFUNCVAL(math_frexp)},
|
|
// {LSTRKEY("ldexp"), LFUNCVAL(math_ldexp)},
|
|
// {LSTRKEY("log10"), LFUNCVAL(math_log10)},
|
|
// {LSTRKEY("log"), LFUNCVAL(math_log)},
|
|
{LSTRKEY("max"), LFUNCVAL(math_max)},
|
|
{LSTRKEY("min"), LFUNCVAL(math_min)},
|
|
// {LSTRKEY("modf"), LFUNCVAL(math_modf)},
|
|
{LSTRKEY("pow"), LFUNCVAL(math_pow)},
|
|
// {LSTRKEY("rad"), LFUNCVAL(math_rad)},
|
|
{LSTRKEY("random"), LFUNCVAL(math_random)},
|
|
{LSTRKEY("randomseed"), LFUNCVAL(math_randomseed)},
|
|
// {LSTRKEY("sinh"), LFUNCVAL(math_sinh)},
|
|
// {LSTRKEY("sin"), LFUNCVAL(math_sin)},
|
|
{LSTRKEY("sqrt"), LFUNCVAL(math_sqrt)},
|
|
// {LSTRKEY("tanh"), LFUNCVAL(math_tanh)},
|
|
// {LSTRKEY("tan"), LFUNCVAL(math_tan)},
|
|
#if LUA_OPTIMIZE_MEMORY > 0
|
|
{LSTRKEY("pi"), LNUMVAL(PI)},
|
|
{LSTRKEY("huge"), LNUMVAL(HUGE_VAL)},
|
|
#endif // #if LUA_OPTIMIZE_MEMORY > 0
|
|
#endif // #ifdef LUA_NUMBER_INTEGRAL
|
|
{LNILKEY, LNILVAL}
|
|
};
|
|
|
|
|
|
/*
|
|
** Open math library
|
|
*/
|
|
|
|
#if defined LUA_NUMBER_INTEGRAL
|
|
# include "c_limits.h" /* for LONG_MAX */
|
|
#endif
|
|
|
|
LUALIB_API int luaopen_math (lua_State *L) {
|
|
#if LUA_OPTIMIZE_MEMORY > 0
|
|
return 0;
|
|
#else
|
|
luaL_register(L, LUA_MATHLIBNAME, math_map);
|
|
# if defined LUA_NUMBER_INTEGRAL
|
|
lua_pushnumber(L, LONG_MAX);
|
|
lua_setfield(L, -2, "huge");
|
|
# else
|
|
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
|
|
# endif
|
|
return 1;
|
|
#endif
|
|
}
|