/* ** $Id: lmathlib.c,v 1.32 2000/10/31 13:10:24 roberto Exp $ ** Standard mathematical library ** See Copyright Notice in lua.h */ #include #include #include "lua.h" #include "lauxlib.h" #include "lualib.h" #undef PI #define PI (3.14159265358979323846) #define RADIANS_PER_DEGREE (PI/180.0) /* ** If you want Lua to operate in radians (instead of degrees), ** define RADIANS */ #define RADIANS #ifdef RADIANS #define FROMRAD(a) (a) #define TORAD(a) (a) #else #define FROMRAD(a) ((a)/RADIANS_PER_DEGREE) #define TORAD(a) ((a)*RADIANS_PER_DEGREE) #endif static int math_abs (lua_State *L) { lua_pushnumber(L, abs(luaL_check_number(L, 1))); return 1; } static int math_sin (lua_State *L) { lua_pushnumber(L, sin(TORAD(luaL_check_number(L, 1)))); return 1; } static int math_cos (lua_State *L) { lua_pushnumber(L, cos(TORAD(luaL_check_number(L, 1)))); return 1; } static int math_tan (lua_State *L) { lua_pushnumber(L, tan(TORAD(luaL_check_number(L, 1)))); return 1; } static int math_asin (lua_State *L) { lua_pushnumber(L, FROMRAD(asin(luaL_check_number(L, 1)))); return 1; } static int math_acos (lua_State *L) { lua_pushnumber(L, FROMRAD(acos(luaL_check_number(L, 1)))); return 1; } static int math_atan (lua_State *L) { lua_pushnumber(L, FROMRAD(atan(luaL_check_number(L, 1)))); return 1; } static int math_atan2 (lua_State *L) { lua_pushnumber(L, atan2(luaL_check_number(L, 1),luaL_check_number(L, 2))); return 1; } static int math_ceil (lua_State *L) { lua_pushnumber(L, ceil(Re(luaL_check_number(L, 1)))); return 1; } static int math_floor (lua_State *L) { lua_pushnumber(L, floor(Re(luaL_check_number(L, 1)))); return 1; } static int math_mod (lua_State *L) { lua_pushnumber(L, fmod(Re(luaL_check_number(L, 1)), Re(luaL_check_number(L, 2)))); return 1; } static int math_sqrt (lua_State *L) { lua_pushnumber(L, sqrt(luaL_check_number(L, 1))); return 1; // CComplex x; // x = sqrt(lua_tonumber(L,1)); // lua_pushnumber(L,x); // return 1; } static int math_pow (lua_State *L) { lua_pushnumber(L, pow(luaL_check_number(L, 1), luaL_check_number(L, 2))); return 1; } static int math_log (lua_State *L) { lua_pushnumber(L, log(luaL_check_number(L, 1))); return 1; } static int math_log10 (lua_State *L) { lua_pushnumber(L, log(luaL_check_number(L, 1))/log(10.) ); return 1; } static int math_exp (lua_State *L) { lua_pushnumber(L, exp(luaL_check_number(L, 1))); return 1; } static int math_deg (lua_State *L) { lua_pushnumber(L, luaL_check_number(L, 1)/RADIANS_PER_DEGREE); return 1; } static int math_rad (lua_State *L) { lua_pushnumber(L, luaL_check_number(L, 1)*RADIANS_PER_DEGREE); return 1; } static int math_frexp (lua_State *L) { int e; lua_pushnumber(L, frexp(Re(luaL_check_number(L, 1)), &e)); lua_pushnumber(L, e); return 2; } static int math_ldexp (lua_State *L) { lua_pushnumber(L, ldexp(Re(luaL_check_number(L, 1)), luaL_check_int(L, 2))); return 1; } static int math_min (lua_State *L) { int n = lua_gettop(L); /* number of arguments */ double dmin = Re(luaL_check_number(L, 1)); int i; for (i=2; i<=n; i++) { double d = Re(luaL_check_number(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 */ double dmax = Re(luaL_check_number(L, 1)); int i; for (i=2; i<=n; i++) { double d = Re(luaL_check_number(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 */ double r = (double)(rand()%RAND_MAX) / (double)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_check_int(L, 1); luaL_arg_check(L, 1<=u, 1, "interval is empty"); lua_pushnumber(L, (int)(r*u)+1); /* integer between 1 and `u' */ break; } case 2: { /* lower and upper limits */ int l = luaL_check_int(L, 1); int u = luaL_check_int(L, 2); luaL_arg_check(L, l<=u, 2, "interval is empty"); lua_pushnumber(L, (int)(r*(u-l+1))+l); /* integer between `l' and `u' */ break; } default: lua_error(L, "wrong number of arguments"); } return 1; } static int math_randomseed (lua_State *L) { srand(luaL_check_int(L, 1)); return 0; } static int math_arg (lua_State *L) { lua_pushnumber(L, arg(luaL_check_number(L, 1))); return 1; } static int math_re (lua_State *L) { lua_pushnumber(L, Re(luaL_check_number(L, 1))); return 1; } static int math_im (lua_State *L) { lua_pushnumber(L, Im(luaL_check_number(L, 1))); return 1; } static int math_conj (lua_State *L) { lua_pushnumber(L, conj(luaL_check_number(L, 1))); return 1; } static int math_tanh (lua_State *L) { lua_pushnumber(L, tanh(luaL_check_number(L, 1))); return 1; } static int math_cosh (lua_State *L) { lua_pushnumber(L, cosh(luaL_check_number(L, 1))); return 1; } static int math_sinh (lua_State *L) { lua_pushnumber(L, sinh(luaL_check_number(L, 1))); return 1; } static const struct luaL_reg mathlib[] = { {"abs", math_abs}, {"sin", math_sin}, {"cos", math_cos}, {"tan", math_tan}, {"asin", math_asin}, {"acos", math_acos}, {"atan", math_atan}, {"atan2", math_atan2}, {"ceil", math_ceil}, {"floor", math_floor}, {"mod", math_mod}, {"frexp", math_frexp}, {"ldexp", math_ldexp}, {"sqrt", math_sqrt}, {"min", math_min}, {"max", math_max}, {"log", math_log}, {"log10", math_log10}, {"exp", math_exp}, {"deg", math_deg}, {"rad", math_rad}, {"random", math_random}, {"randomseed", math_randomseed}, {"arg", math_arg}, {"re", math_re}, {"im", math_im}, {"conj", math_conj}, {"tanh", math_tanh}, {"cosh", math_cosh}, {"sinh", math_sinh}, }; /* ** Open math library */ LUALIB_API void lua_mathlibopen (lua_State *L) { luaL_openl(L, mathlib); lua_pushcfunction(L, math_pow); lua_settagmethod(L, LUA_TNUMBER, "pow"); lua_pushnumber(L, PI); lua_setglobal(L, "PI"); // does this work? lua_pushnumber(L, I); lua_setglobal(L, "I"); }