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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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#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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lua_pushnumber(L, fabs(luaL_checknumber(L, 1)));
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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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static int math_sinh (lua_State *L) {
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lua_pushnumber(L, sinh(luaL_checknumber(L, 1)));
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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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static int math_cosh (lua_State *L) {
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lua_pushnumber(L, cosh(luaL_checknumber(L, 1)));
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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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static int math_tanh (lua_State *L) {
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lua_pushnumber(L, tanh(luaL_checknumber(L, 1)));
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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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static int math_acos (lua_State *L) {
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lua_pushnumber(L, acos(luaL_checknumber(L, 1)));
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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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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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static int math_ceil (lua_State *L) {
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lua_pushnumber(L, ceil(luaL_checknumber(L, 1)));
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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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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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static int math_modf (lua_State *L) {
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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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static int math_sqrt (lua_State *L) {
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lua_pushnumber(L, sqrt(luaL_checknumber(L, 1)));
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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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static int math_log (lua_State *L) {
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lua_pushnumber(L, log(luaL_checknumber(L, 1)));
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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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static int math_exp (lua_State *L) {
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lua_pushnumber(L, exp(luaL_checknumber(L, 1)));
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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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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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static int math_frexp (lua_State *L) {
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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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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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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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for (i=2; i<=n; i++) {
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lua_Number d = luaL_checknumber(L, i);
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lua_pushnumber(L, dmin);
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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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for (i=2; i<=n; i++) {
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lua_Number d = luaL_checknumber(L, i);
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lua_pushnumber(L, dmax);
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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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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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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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default: return luaL_error(L, "wrong number of arguments");
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static int math_randomseed (lua_State *L) {
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srand(luaL_checkint(L, 1));
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static const luaL_Reg mathlib[] = {
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{"atan2", math_atan2},
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{"floor", math_floor},
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{"frexp", math_frexp},
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{"ldexp", math_ldexp},
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{"log10", math_log10},
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{"random", math_random},
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{"randomseed", math_randomseed},
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LUALIB_API int luaopen_math (lua_State *L) {
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luaL_register(L, LUA_MATHLIBNAME, mathlib);
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lua_pushnumber(L, PI);
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lua_setfield(L, -2, "pi");
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lua_pushnumber(L, HUGE_VAL);
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lua_setfield(L, -2, "huge");
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#if defined(LUA_COMPAT_MOD)
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lua_getfield(L, -1, "fmod");
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lua_setfield(L, -2, "mod");