/* ** $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; } #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 }