/* ** $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 #include "lua.h" #include #include #include "lauxlib.h" #include "lualib.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; } LROT_BEGIN(math, NULL, 0) #ifdef LUA_NUMBER_INTEGRAL LROT_FUNCENTRY( abs, math_abs ) LROT_FUNCENTRY( ceil, math_identity ) LROT_FUNCENTRY( floor, math_identity ) LROT_FUNCENTRY( max, math_max ) LROT_FUNCENTRY( min, math_min ) LROT_FUNCENTRY( pow, math_pow ) LROT_FUNCENTRY( random, math_random ) LROT_FUNCENTRY( randomseed, math_randomseed ) LROT_FUNCENTRY( sqrt, math_sqrt ) LROT_NUMENTRY( huge, INT_MAX ) #else LROT_FUNCENTRY( abs, math_abs ) // LROT_FUNCENTRY( acos, math_acos ) // LROT_FUNCENTRY( asin, math_asin ) // LROT_FUNCENTRY( atan2, math_atan2 ) // LROT_FUNCENTRY( atan, math_atan ) LROT_FUNCENTRY( ceil, math_ceil ) // LROT_FUNCENTRY( cosh, math_cosh ) // LROT_FUNCENTRY( cos, math_cos ) // LROT_FUNCENTRY( deg, math_deg ) // LROT_FUNCENTRY( exp, math_exp ) LROT_FUNCENTRY( floor, math_floor ) // LROT_FUNCENTRY( fmod, math_fmod ) // LROT_FUNCENTRY( mod, math_fmod ) // LROT_FUNCENTRY( frexp, math_frexp ) // LROT_FUNCENTRY( ldexp, math_ldexp ) // LROT_FUNCENTRY( log10, math_log10 ) // LROT_FUNCENTRY( log, math_log ) LROT_FUNCENTRY( max, math_max ) LROT_FUNCENTRY( min, math_min ) // LROT_FUNCENTRY( modf, math_modf ) LROT_FUNCENTRY( pow, math_pow ) // LROT_FUNCENTRY( rad, math_rad ) LROT_FUNCENTRY( random, math_random ) LROT_FUNCENTRY( randomseed, math_randomseed ) // LROT_FUNCENTRY( sinh, math_sinh ) // LROT_FUNCENTRY( sin, math_sin ) LROT_FUNCENTRY( sqrt, math_sqrt ) // LROT_FUNCENTRY( tanh, math_tanh ) // LROT_FUNCENTRY( tan, math_tan ) LROT_NUMENTRY( pi, PI ) LROT_NUMENTRY( huge, HUGE_VAL ) #endif // #ifdef LUA_NUMBER_INTEGRAL LROT_END(math, NULL, 0) /* ** Open math library */ LUALIB_API int luaopen_math (lua_State *L) { return 0; }