364 lines
8.6 KiB
C
364 lines
8.6 KiB
C
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/*
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** $Id: lmathlib.c,v 1.67.1.1 2007/12/27 13:02:25 roberto Exp $
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** Standard mathematical library
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** See Copyright Notice in lua.h
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*/
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#define lmathlib_c
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#define LUA_LIB
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#include "lua.h"
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#include <stdlib.h>
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#include <math.h>
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#include "lauxlib.h"
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#include "lualib.h"
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#undef PI
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#define PI (3.14159265358979323846)
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#define RADIANS_PER_DEGREE (PI/180.0)
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static int math_abs (lua_State *L) {
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#ifdef LUA_NUMBER_INTEGRAL
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lua_Number x = luaL_checknumber(L, 1);
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if (x < 0) x = -x; //fails for -2^31
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lua_pushnumber(L, x);
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#else
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lua_pushnumber(L, fabs(luaL_checknumber(L, 1)));
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#endif
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return 1;
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}
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#ifndef LUA_NUMBER_INTEGRAL
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#if 0
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static int math_sin (lua_State *L) {
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lua_pushnumber(L, sin(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_sinh (lua_State *L) {
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lua_pushnumber(L, sinh(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_cos (lua_State *L) {
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lua_pushnumber(L, cos(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_cosh (lua_State *L) {
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lua_pushnumber(L, cosh(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_tan (lua_State *L) {
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lua_pushnumber(L, tan(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_tanh (lua_State *L) {
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lua_pushnumber(L, tanh(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_asin (lua_State *L) {
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lua_pushnumber(L, asin(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_acos (lua_State *L) {
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lua_pushnumber(L, acos(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_atan (lua_State *L) {
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lua_pushnumber(L, atan(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_atan2 (lua_State *L) {
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lua_pushnumber(L, atan2(luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
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return 1;
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}
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#endif
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static int math_ceil (lua_State *L) {
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lua_pushnumber(L, ceil(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_floor (lua_State *L) {
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lua_pushnumber(L, floor(luaL_checknumber(L, 1)));
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return 1;
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}
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#if 0
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static int math_fmod (lua_State *L) {
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lua_pushnumber(L, fmod(luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
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return 1;
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}
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static int math_modf (lua_State *L) {
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double ip;
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double fp = modf(luaL_checknumber(L, 1), &ip);
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lua_pushnumber(L, ip);
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lua_pushnumber(L, fp);
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return 2;
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}
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#endif
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#else // #ifndef LUA_NUMBER_INTEGRAL
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// In integer math, floor() and ceil() give the same value;
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// having them in the integer library allows you to write code that
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// works in both integer and floating point versions of Lua.
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// This identity function is used for them.
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static int math_identity (lua_State *L) {
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lua_pushnumber(L, luaL_checknumber(L, 1));
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return 1;
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}
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#endif // #ifndef LUA_NUMBER_INTEGRAL
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#ifdef LUA_NUMBER_INTEGRAL
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// Integer square root for integer version
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static lua_Number isqrt(lua_Number x)
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{
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lua_Number op, res, one;
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op = x; res = 0;
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/* "one" starts at the highest power of four <= than the argument. */
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one = 1 << 30; /* second-to-top bit set */
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while (one > op) one >>= 2;
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while (one != 0) {
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if (op >= res + one) {
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op = op - (res + one);
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res = res + 2 * one;
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}
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res >>= 1;
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one >>= 2;
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}
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return(res);
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}
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#endif
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static int math_sqrt (lua_State *L) {
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#ifdef LUA_NUMBER_INTEGRAL
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lua_Number x = luaL_checknumber(L, 1);
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luaL_argcheck(L, 0<=x, 1, "negative");
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lua_pushnumber(L, isqrt(x));
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#else
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lua_pushnumber(L, sqrt(luaL_checknumber(L, 1)));
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#endif
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return 1;
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}
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#ifdef LUA_NUMBER_INTEGRAL
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# define pow(a,b) luai_ipow(a,b)
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#endif
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static int math_pow (lua_State *L) {
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lua_pushnumber(L, pow(luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
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return 1;
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}
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#ifdef LUA_NUMBER_INTEGRAL
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# undef pow
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#endif
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#ifndef LUA_NUMBER_INTEGRAL
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#if 0
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static int math_log (lua_State *L) {
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lua_pushnumber(L, log(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_log10 (lua_State *L) {
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lua_pushnumber(L, log10(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_exp (lua_State *L) {
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lua_pushnumber(L, exp(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_deg (lua_State *L) {
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lua_pushnumber(L, luaL_checknumber(L, 1)/RADIANS_PER_DEGREE);
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return 1;
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}
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static int math_rad (lua_State *L) {
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lua_pushnumber(L, luaL_checknumber(L, 1)*RADIANS_PER_DEGREE);
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return 1;
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}
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static int math_frexp (lua_State *L) {
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int e;
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lua_pushnumber(L, frexp(luaL_checknumber(L, 1), &e));
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lua_pushinteger(L, e);
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return 2;
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}
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static int math_ldexp (lua_State *L) {
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lua_pushnumber(L, ldexp(luaL_checknumber(L, 1), luaL_checkint(L, 2)));
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return 1;
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}
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#endif
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#endif // #ifdef LUA_NUMBER_INTEGRAL
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static int math_min (lua_State *L) {
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int n = lua_gettop(L); /* number of arguments */
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lua_Number dmin = luaL_checknumber(L, 1);
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int i;
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for (i=2; i<=n; i++) {
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lua_Number d = luaL_checknumber(L, i);
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if (d < dmin)
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dmin = d;
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}
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lua_pushnumber(L, dmin);
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return 1;
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}
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static int math_max (lua_State *L) {
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int n = lua_gettop(L); /* number of arguments */
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lua_Number dmax = luaL_checknumber(L, 1);
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int i;
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for (i=2; i<=n; i++) {
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lua_Number d = luaL_checknumber(L, i);
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if (d > dmax)
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dmax = d;
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}
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lua_pushnumber(L, dmax);
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return 1;
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}
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#ifdef LUA_NUMBER_INTEGRAL
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static int math_random (lua_State *L) {
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lua_Number r = (lua_Number)(rand()%RAND_MAX);
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switch (lua_gettop(L)) { /* check number of arguments */
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case 0: { /* no arguments */
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lua_pushnumber(L, 0); /* Number between 0 and 1 - always 0 with ints */
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break;
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}
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case 1: { /* only upper limit */
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int u = luaL_checkint(L, 1);
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luaL_argcheck(L, 1<=u, 1, "interval is empty");
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lua_pushnumber(L, (r % u)+1); /* int between 1 and `u' */
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break;
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}
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case 2: { /* lower and upper limits */
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int l = luaL_checkint(L, 1);
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int u = luaL_checkint(L, 2);
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luaL_argcheck(L, l<=u, 2, "interval is empty");
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lua_pushnumber(L, (r%(u-l+1))+l); /* int between `l' and `u' */
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break;
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}
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default: return luaL_error(L, "wrong number of arguments");
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}
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return 1;
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}
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#else
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static int math_random (lua_State *L) {
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/* the `%' avoids the (rare) case of r==1, and is needed also because on
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some systems (SunOS!) `rand()' may return a value larger than RAND_MAX */
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lua_Number r = (lua_Number)(rand()%RAND_MAX) / (lua_Number)RAND_MAX;
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switch (lua_gettop(L)) { /* check number of arguments */
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case 0: { /* no arguments */
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lua_pushnumber(L, r); /* Number between 0 and 1 */
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break;
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}
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case 1: { /* only upper limit */
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int u = luaL_checkint(L, 1);
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luaL_argcheck(L, 1<=u, 1, "interval is empty");
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lua_pushnumber(L, floor(r*u)+1); /* int between 1 and `u' */
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break;
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}
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case 2: { /* lower and upper limits */
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int l = luaL_checkint(L, 1);
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int u = luaL_checkint(L, 2);
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luaL_argcheck(L, l<=u, 2, "interval is empty");
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lua_pushnumber(L, floor(r*(u-l+1))+l); /* int between `l' and `u' */
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break;
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}
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default: return luaL_error(L, "wrong number of arguments");
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}
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return 1;
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}
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#endif
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static int math_randomseed (lua_State *L) {
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srand(luaL_checkint(L, 1));
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return 0;
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}
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LROT_BEGIN(math, NULL, 0)
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#ifdef LUA_NUMBER_INTEGRAL
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LROT_FUNCENTRY( abs, math_abs )
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LROT_FUNCENTRY( ceil, math_identity )
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LROT_FUNCENTRY( floor, math_identity )
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LROT_FUNCENTRY( max, math_max )
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LROT_FUNCENTRY( min, math_min )
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LROT_FUNCENTRY( pow, math_pow )
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LROT_FUNCENTRY( random, math_random )
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LROT_FUNCENTRY( randomseed, math_randomseed )
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LROT_FUNCENTRY( sqrt, math_sqrt )
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LROT_NUMENTRY( huge, INT_MAX )
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#else
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LROT_FUNCENTRY( abs, math_abs )
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// LROT_FUNCENTRY( acos, math_acos )
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// LROT_FUNCENTRY( asin, math_asin )
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// LROT_FUNCENTRY( atan2, math_atan2 )
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// LROT_FUNCENTRY( atan, math_atan )
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LROT_FUNCENTRY( ceil, math_ceil )
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// LROT_FUNCENTRY( cosh, math_cosh )
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// LROT_FUNCENTRY( cos, math_cos )
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// LROT_FUNCENTRY( deg, math_deg )
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// LROT_FUNCENTRY( exp, math_exp )
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LROT_FUNCENTRY( floor, math_floor )
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// LROT_FUNCENTRY( fmod, math_fmod )
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// LROT_FUNCENTRY( mod, math_fmod )
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// LROT_FUNCENTRY( frexp, math_frexp )
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// LROT_FUNCENTRY( ldexp, math_ldexp )
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// LROT_FUNCENTRY( log10, math_log10 )
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// LROT_FUNCENTRY( log, math_log )
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LROT_FUNCENTRY( max, math_max )
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LROT_FUNCENTRY( min, math_min )
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// LROT_FUNCENTRY( modf, math_modf )
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LROT_FUNCENTRY( pow, math_pow )
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// LROT_FUNCENTRY( rad, math_rad )
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LROT_FUNCENTRY( random, math_random )
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LROT_FUNCENTRY( randomseed, math_randomseed )
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// LROT_FUNCENTRY( sinh, math_sinh )
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// LROT_FUNCENTRY( sin, math_sin )
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LROT_FUNCENTRY( sqrt, math_sqrt )
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// LROT_FUNCENTRY( tanh, math_tanh )
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// LROT_FUNCENTRY( tan, math_tan )
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LROT_NUMENTRY( pi, PI )
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LROT_NUMENTRY( huge, HUGE_VAL )
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#endif // #ifdef LUA_NUMBER_INTEGRAL
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LROT_END(math, NULL, 0)
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/*
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** Open math library
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*/
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LUALIB_API int luaopen_math (lua_State *L) {
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return 0;
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}
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