cheat-engine/lua/src/lmathlib.c
2013-05-19 19:21:22 +00:00

430 lines
9.8 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
*/
#include <stdlib.h>
#include <math.h>
#define lmathlib_c
#define LUA_LIB
#include "lua.h"
#include "lauxlib.h"
#include "lualib.h"
/* 'luai_vectpow()' as a replacement for 'cpow()'. Defined in the header; we
* don't intrude the code libs internal functions.
*/
#ifdef LNUM_COMPLEX
# include "lnum.h"
#endif
#undef PI
#ifdef LNUM_FLOAT
# define PI (3.14159265358979323846F)
#elif defined(M_PI)
# define PI M_PI
#else
# define PI (3.14159265358979323846264338327950288)
#endif
#define RADIANS_PER_DEGREE (PI/180)
#undef HUGE
#ifdef LNUM_FLOAT
# define HUGE HUGE_VALF
#elif defined(LNUM_LDOUBLE)
# define HUGE HUGE_VALL
#else
# define HUGE HUGE_VAL
#endif
static int math_abs (lua_State *L) {
#ifdef LNUM_COMPLEX
lua_pushnumber(L, _LF(cabs) (luaL_checkcomplex(L,1)));
#else
lua_pushnumber(L, _LF(fabs) (luaL_checknumber(L, 1)));
#endif
return 1;
}
static int math_sin (lua_State *L) {
#ifdef LNUM_COMPLEX
lua_pushcomplex(L, _LF(csin) (luaL_checkcomplex(L,1)));
#else
lua_pushnumber(L, _LF(sin) (luaL_checknumber(L, 1)));
#endif
return 1;
}
static int math_sinh (lua_State *L) {
#ifdef LNUM_COMPLEX
lua_pushcomplex(L, _LF(csinh) (luaL_checkcomplex(L,1)));
#else
lua_pushnumber(L, _LF(sinh) (luaL_checknumber(L, 1)));
#endif
return 1;
}
static int math_cos (lua_State *L) {
#ifdef LNUM_COMPLEX
lua_pushcomplex(L, _LF(ccos) (luaL_checkcomplex(L,1)));
#else
lua_pushnumber(L, _LF(cos) (luaL_checknumber(L, 1)));
#endif
return 1;
}
static int math_cosh (lua_State *L) {
#ifdef LNUM_COMPLEX
lua_pushcomplex(L, _LF(ccosh) (luaL_checkcomplex(L,1)));
#else
lua_pushnumber(L, _LF(cosh) (luaL_checknumber(L, 1)));
#endif
return 1;
}
static int math_tan (lua_State *L) {
#ifdef LNUM_COMPLEX
lua_pushcomplex(L, _LF(ctan) (luaL_checkcomplex(L,1)));
#else
lua_pushnumber(L, _LF(tan) (luaL_checknumber(L, 1)));
#endif
return 1;
}
static int math_tanh (lua_State *L) {
#ifdef LNUM_COMPLEX
lua_pushcomplex(L, _LF(ctanh) (luaL_checkcomplex(L,1)));
#else
lua_pushnumber(L, _LF(tanh) (luaL_checknumber(L, 1)));
#endif
return 1;
}
static int math_asin (lua_State *L) {
#ifdef LNUM_COMPLEX
lua_pushcomplex(L, _LF(casin) (luaL_checkcomplex(L,1)));
#else
lua_pushnumber(L, _LF(asin) (luaL_checknumber(L, 1)));
#endif
return 1;
}
static int math_acos (lua_State *L) {
#ifdef LNUM_COMPLEX
lua_pushcomplex(L, _LF(cacos) (luaL_checkcomplex(L,1)));
#else
lua_pushnumber(L, _LF(acos) (luaL_checknumber(L, 1)));
#endif
return 1;
}
static int math_atan (lua_State *L) {
#ifdef LNUM_COMPLEX
lua_pushcomplex(L, _LF(catan) (luaL_checkcomplex(L,1)));
#else
lua_pushnumber(L, _LF(atan) (luaL_checknumber(L, 1)));
#endif
return 1;
}
static int math_atan2 (lua_State *L) {
/* scalars only */
lua_pushnumber(L, _LF(atan2) (luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
return 1;
}
static int math_ceil (lua_State *L) {
#ifdef LNUM_COMPLEX
lua_Complex v= luaL_checkcomplex(L, 1);
lua_pushcomplex(L, _LF(ceil) (_LF(creal)(v)) + _LF(ceil) (_LF(cimag)(v))*I);
#else
lua_pushnumber(L, _LF(ceil) (luaL_checknumber(L, 1)));
#endif
return 1;
}
static int math_floor (lua_State *L) {
#ifdef LNUM_COMPLEX
lua_Complex v= luaL_checkcomplex(L, 1);
lua_pushcomplex(L, _LF(floor) (_LF(creal)(v)) + _LF(floor) (_LF(cimag)(v))*I);
#else
lua_pushnumber(L, _LF(floor) (luaL_checknumber(L, 1)));
#endif
return 1;
}
static int math_fmod (lua_State *L) {
/* scalars only */
lua_pushnumber(L, _LF(fmod) (luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
return 1;
}
static int math_modf (lua_State *L) {
/* scalars only */
lua_Number ip;
lua_Number fp = _LF(modf) (luaL_checknumber(L, 1), &ip);
lua_pushnumber(L, ip);
lua_pushnumber(L, fp);
return 2;
}
static int math_sqrt (lua_State *L) {
#ifdef LNUM_COMPLEX
lua_pushcomplex(L, _LF(csqrt) (luaL_checkcomplex(L,1)));
#else
lua_pushnumber(L, _LF(sqrt) (luaL_checknumber(L, 1)));
#endif
return 1;
}
static int math_pow (lua_State *L) {
#ifdef LNUM_COMPLEX
/* C99 'cpow' gives somewhat inaccurate results (i.e. (-1)^2 = -1+1.2246467991474e-16i).
* 'luai_vectpow' smoothens such, reusing it is the reason we need to #include "lnum.h".
*/
lua_pushcomplex(L, luai_vectpow(luaL_checkcomplex(L,1), luaL_checkcomplex(L,2)));
#else
lua_pushnumber(L, _LF(pow) (luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
#endif
return 1;
}
static int math_log (lua_State *L) {
#ifdef LNUM_COMPLEX
lua_pushcomplex(L, _LF(clog) (luaL_checkcomplex(L,1)));
#else
lua_pushnumber(L, _LF(log) (luaL_checknumber(L, 1)));
#endif
return 1;
}
static int math_log10 (lua_State *L) {
#ifdef LNUM_COMPLEX
/* Not in standard <complex.h> , but easy to calculate: log_a(x) = log_b(x) / log_b(a)
*/
lua_pushcomplex(L, _LF(clog) (luaL_checkcomplex(L,1)) / _LF(log) (10));
#else
lua_pushnumber(L, _LF(log10) (luaL_checknumber(L, 1)));
#endif
return 1;
}
static int math_exp (lua_State *L) {
#ifdef LNUM_COMPLEX
lua_pushcomplex(L, _LF(cexp) (luaL_checkcomplex(L,1)));
#else
lua_pushnumber(L, _LF(exp) (luaL_checknumber(L, 1)));
#endif
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, _LF(frexp) (luaL_checknumber(L, 1), &e));
lua_pushinteger(L, e);
return 2;
}
static int math_ldexp (lua_State *L) {
lua_pushnumber(L, _LF(ldexp) (luaL_checknumber(L, 1), luaL_checkint(L, 2)));
return 1;
}
static int math_min (lua_State *L) {
/* scalars only */
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) {
/* scalars only */
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;
int n= lua_gettop(L); /* number of arguments */
if (n==0) { /* no arguments: range [0,1) */
lua_pushnumber(L, r);
} else if (n<=2) { /* int range [1,u] or [l,u] */
int l= n==1 ? 1 : luaL_checkint(L, 1);
int u = luaL_checkint(L, n);
int tmp;
lua_Number d;
luaL_argcheck(L, l<=u, n, "interval is empty");
d= _LF(floor)(r*(u-l+1));
lua_number2int(tmp,d);
lua_pushinteger(L, l+tmp);
} else {
return luaL_error(L, "wrong number of arguments");
}
return 1;
}
static int math_randomseed (lua_State *L) {
srand(luaL_checkint(L, 1));
return 0;
}
/*
* Lua 5.1 does not have acosh, asinh, atanh for scalars (not ANSI C)
*/
#if __STDC_VERSION__ >= 199901L
static int math_acosh (lua_State *L) {
# ifdef LNUM_COMPLEX
lua_pushcomplex(L, _LF(cacosh) (luaL_checkcomplex(L,1)));
# else
lua_pushnumber(L, _LF(acosh) (luaL_checknumber(L,1)));
# endif
return 1;
}
static int math_asinh (lua_State *L) {
# ifdef LNUM_COMPLEX
lua_pushcomplex(L, _LF(casinh) (luaL_checkcomplex(L,1)));
# else
lua_pushnumber(L, _LF(asinh) (luaL_checknumber(L,1)));
# endif
return 1;
}
static int math_atanh (lua_State *L) {
# ifdef LNUM_COMPLEX
lua_pushcomplex(L, _LF(catanh) (luaL_checkcomplex(L,1)));
# else
lua_pushnumber(L, _LF(atanh) (luaL_checknumber(L,1)));
# endif
return 1;
}
#endif
/*
* C99 complex functions, not covered above.
*/
#ifdef LNUM_COMPLEX
static int math_arg (lua_State *L) {
lua_pushnumber(L, _LF(carg) (luaL_checkcomplex(L,1)));
return 1;
}
static int math_imag (lua_State *L) {
lua_pushnumber(L, _LF(cimag) (luaL_checkcomplex(L,1)));
return 1;
}
static int math_real (lua_State *L) {
lua_pushnumber(L, _LF(creal) (luaL_checkcomplex(L,1)));
return 1;
}
static int math_conj (lua_State *L) {
lua_pushcomplex(L, _LF(conj) (luaL_checkcomplex(L,1)));
return 1;
}
static int math_proj (lua_State *L) {
lua_pushcomplex(L, _LF(cproj) (luaL_checkcomplex(L,1)));
return 1;
}
#endif
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},
#if __STDC_VERSION__ >= 199901L
{"acosh", math_acosh},
{"asinh", math_asinh},
{"atanh", math_atanh},
#endif
#ifdef LNUM_COMPLEX
{"arg", math_arg},
{"imag", math_imag},
{"real", math_real},
{"conj", math_conj},
{"proj", math_proj},
#endif
{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);
lua_setfield(L, -2, "huge");
lua_pushinteger(L, LUA_INTEGER_MAX );
lua_setfield(L, -2, "hugeint");
#if defined(LUA_COMPAT_MOD)
lua_getfield(L, -1, "fmod");
lua_setfield(L, -2, "mod");
#endif
return 1;
}