/* ** $Id: lmathlib.c,v 1.77 2010/11/11 15:39:12 roberto Exp roberto $ ** Standard mathematical library ** See Copyright Notice in lua.h */ #include #include #define lmathlib_c #define LUA_LIB #include "lua.h" #include "lauxlib.h" #include "lualib.h" #undef PI #define PI (3.14159265358979323846) #define RADIANS_PER_DEGREE (PI/180.0) /* macro 'l_tg' allows the addition of an 'l' or 'f' to all math operations */ #if !defined(l_tg) #define l_tg(x) (x) #endif static int math_abs (lua_State *L) { lua_pushnumber(L, l_tg(fabs)(luaL_checknumber(L, 1))); return 1; } static int math_sin (lua_State *L) { lua_pushnumber(L, l_tg(sin)(luaL_checknumber(L, 1))); return 1; } static int math_sinh (lua_State *L) { lua_pushnumber(L, l_tg(sinh)(luaL_checknumber(L, 1))); return 1; } static int math_cos (lua_State *L) { lua_pushnumber(L, l_tg(cos)(luaL_checknumber(L, 1))); return 1; } static int math_cosh (lua_State *L) { lua_pushnumber(L, l_tg(cosh)(luaL_checknumber(L, 1))); return 1; } static int math_tan (lua_State *L) { lua_pushnumber(L, l_tg(tan)(luaL_checknumber(L, 1))); return 1; } static int math_tanh (lua_State *L) { lua_pushnumber(L, l_tg(tanh)(luaL_checknumber(L, 1))); return 1; } static int math_asin (lua_State *L) { lua_pushnumber(L, l_tg(asin)(luaL_checknumber(L, 1))); return 1; } static int math_acos (lua_State *L) { lua_pushnumber(L, l_tg(acos)(luaL_checknumber(L, 1))); return 1; } static int math_atan (lua_State *L) { lua_pushnumber(L, l_tg(atan)(luaL_checknumber(L, 1))); return 1; } static int math_atan2 (lua_State *L) { lua_pushnumber(L, l_tg(atan2)(luaL_checknumber(L, 1), luaL_checknumber(L, 2))); return 1; } static int math_ceil (lua_State *L) { lua_pushnumber(L, l_tg(ceil)(luaL_checknumber(L, 1))); return 1; } static int math_floor (lua_State *L) { lua_pushnumber(L, l_tg(floor)(luaL_checknumber(L, 1))); return 1; } static int math_fmod (lua_State *L) { lua_pushnumber(L, l_tg(fmod)(luaL_checknumber(L, 1), luaL_checknumber(L, 2))); return 1; } static int math_modf (lua_State *L) { lua_Number ip; lua_Number fp = l_tg(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_tg(sqrt)(luaL_checknumber(L, 1))); return 1; } static int math_pow (lua_State *L) { lua_pushnumber(L, l_tg(pow)(luaL_checknumber(L, 1), luaL_checknumber(L, 2))); 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_tg(log)(x); else { lua_Number base = luaL_checknumber(L, 2); if (base == 10.0) res = l_tg(log10)(x); else res = l_tg(log)(x)/l_tg(log)(base); } lua_pushnumber(L, res); return 1; } static int math_log10 (lua_State *L) { #if !defined(LUA_COMPAT_LOG10) luaL_error(L, "function " LUA_QL("log10") " is deprecated; use log(x, 10) instead"); #endif lua_pushnumber(L, l_tg(log10)(luaL_checknumber(L, 1))); return 1; } static int math_exp (lua_State *L) { lua_pushnumber(L, l_tg(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_tg(frexp)(luaL_checknumber(L, 1), &e)); lua_pushinteger(L, e); return 2; } static int math_ldexp (lua_State *L) { lua_pushnumber(L, l_tg(ldexp)(luaL_checknumber(L, 1), luaL_checkint(L, 2))); 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; 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 */ lua_Number u = luaL_checknumber(L, 1); luaL_argcheck(L, 1.0 <= u, 1, "interval is empty"); lua_pushnumber(L, l_tg(floor)(r*u) + 1.0); /* int in [1, u] */ break; } case 2: { /* lower and upper limits */ lua_Number l = luaL_checknumber(L, 1); lua_Number u = luaL_checknumber(L, 2); luaL_argcheck(L, l <= u, 2, "interval is empty"); lua_pushnumber(L, l_tg(floor)(r*(u-l+1)) + l); /* int in [l, u] */ break; } default: return luaL_error(L, "wrong number of arguments"); } 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 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}, {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; }