rlm@1: /*
rlm@1: ** $Id: lmathlib.c,v 1.67.1.1 2007/12/27 13:02:25 roberto Exp $
rlm@1: ** Standard mathematical library
rlm@1: ** See Copyright Notice in lua.h
rlm@1: */
rlm@1: 
rlm@1: 
rlm@1: #include <stdlib.h>
rlm@1: #include <math.h>
rlm@1: 
rlm@1: #define lmathlib_c
rlm@1: #define LUA_LIB
rlm@1: 
rlm@1: #include "lua.h"
rlm@1: 
rlm@1: #include "lauxlib.h"
rlm@1: #include "lualib.h"
rlm@1: 
rlm@1: 
rlm@1: #undef PI
rlm@1: #define PI (3.14159265358979323846)
rlm@1: #define RADIANS_PER_DEGREE (PI/180.0)
rlm@1: 
rlm@1: 
rlm@1: 
rlm@1: static int math_abs (lua_State *L) {
rlm@1:   lua_pushnumber(L, fabs(luaL_checknumber(L, 1)));
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: static int math_sin (lua_State *L) {
rlm@1:   lua_pushnumber(L, sin(luaL_checknumber(L, 1)));
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: static int math_sinh (lua_State *L) {
rlm@1:   lua_pushnumber(L, sinh(luaL_checknumber(L, 1)));
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: static int math_cos (lua_State *L) {
rlm@1:   lua_pushnumber(L, cos(luaL_checknumber(L, 1)));
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: static int math_cosh (lua_State *L) {
rlm@1:   lua_pushnumber(L, cosh(luaL_checknumber(L, 1)));
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: static int math_tan (lua_State *L) {
rlm@1:   lua_pushnumber(L, tan(luaL_checknumber(L, 1)));
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: static int math_tanh (lua_State *L) {
rlm@1:   lua_pushnumber(L, tanh(luaL_checknumber(L, 1)));
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: static int math_asin (lua_State *L) {
rlm@1:   lua_pushnumber(L, asin(luaL_checknumber(L, 1)));
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: static int math_acos (lua_State *L) {
rlm@1:   lua_pushnumber(L, acos(luaL_checknumber(L, 1)));
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: static int math_atan (lua_State *L) {
rlm@1:   lua_pushnumber(L, atan(luaL_checknumber(L, 1)));
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: static int math_atan2 (lua_State *L) {
rlm@1:   lua_pushnumber(L, atan2(luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: static int math_ceil (lua_State *L) {
rlm@1:   lua_pushnumber(L, ceil(luaL_checknumber(L, 1)));
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: static int math_floor (lua_State *L) {
rlm@1:   lua_pushnumber(L, floor(luaL_checknumber(L, 1)));
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: static int math_fmod (lua_State *L) {
rlm@1:   lua_pushnumber(L, fmod(luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: static int math_modf (lua_State *L) {
rlm@1:   double ip;
rlm@1:   double fp = modf(luaL_checknumber(L, 1), &ip);
rlm@1:   lua_pushnumber(L, ip);
rlm@1:   lua_pushnumber(L, fp);
rlm@1:   return 2;
rlm@1: }
rlm@1: 
rlm@1: static int math_sqrt (lua_State *L) {
rlm@1:   lua_pushnumber(L, sqrt(luaL_checknumber(L, 1)));
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: static int math_pow (lua_State *L) {
rlm@1:   lua_pushnumber(L, pow(luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: static int math_log (lua_State *L) {
rlm@1:   lua_pushnumber(L, log(luaL_checknumber(L, 1)));
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: static int math_log10 (lua_State *L) {
rlm@1:   lua_pushnumber(L, log10(luaL_checknumber(L, 1)));
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: static int math_exp (lua_State *L) {
rlm@1:   lua_pushnumber(L, exp(luaL_checknumber(L, 1)));
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: static int math_deg (lua_State *L) {
rlm@1:   lua_pushnumber(L, luaL_checknumber(L, 1)/RADIANS_PER_DEGREE);
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: static int math_rad (lua_State *L) {
rlm@1:   lua_pushnumber(L, luaL_checknumber(L, 1)*RADIANS_PER_DEGREE);
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: static int math_frexp (lua_State *L) {
rlm@1:   int e;
rlm@1:   lua_pushnumber(L, frexp(luaL_checknumber(L, 1), &e));
rlm@1:   lua_pushinteger(L, e);
rlm@1:   return 2;
rlm@1: }
rlm@1: 
rlm@1: static int math_ldexp (lua_State *L) {
rlm@1:   lua_pushnumber(L, ldexp(luaL_checknumber(L, 1), luaL_checkint(L, 2)));
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: 
rlm@1: 
rlm@1: static int math_min (lua_State *L) {
rlm@1:   int n = lua_gettop(L);  /* number of arguments */
rlm@1:   lua_Number dmin = luaL_checknumber(L, 1);
rlm@1:   int i;
rlm@1:   for (i=2; i<=n; i++) {
rlm@1:     lua_Number d = luaL_checknumber(L, i);
rlm@1:     if (d < dmin)
rlm@1:       dmin = d;
rlm@1:   }
rlm@1:   lua_pushnumber(L, dmin);
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: 
rlm@1: static int math_max (lua_State *L) {
rlm@1:   int n = lua_gettop(L);  /* number of arguments */
rlm@1:   lua_Number dmax = luaL_checknumber(L, 1);
rlm@1:   int i;
rlm@1:   for (i=2; i<=n; i++) {
rlm@1:     lua_Number d = luaL_checknumber(L, i);
rlm@1:     if (d > dmax)
rlm@1:       dmax = d;
rlm@1:   }
rlm@1:   lua_pushnumber(L, dmax);
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: 
rlm@1: static int math_random (lua_State *L) {
rlm@1:   /* the `%' avoids the (rare) case of r==1, and is needed also because on
rlm@1:      some systems (SunOS!) `rand()' may return a value larger than RAND_MAX */
rlm@1:   lua_Number r = (lua_Number)(rand()%RAND_MAX) / (lua_Number)RAND_MAX;
rlm@1:   switch (lua_gettop(L)) {  /* check number of arguments */
rlm@1:     case 0: {  /* no arguments */
rlm@1:       lua_pushnumber(L, r);  /* Number between 0 and 1 */
rlm@1:       break;
rlm@1:     }
rlm@1:     case 1: {  /* only upper limit */
rlm@1:       int u = luaL_checkint(L, 1);
rlm@1:       luaL_argcheck(L, 1<=u, 1, "interval is empty");
rlm@1:       lua_pushnumber(L, floor(r*u)+1);  /* int between 1 and `u' */
rlm@1:       break;
rlm@1:     }
rlm@1:     case 2: {  /* lower and upper limits */
rlm@1:       int l = luaL_checkint(L, 1);
rlm@1:       int u = luaL_checkint(L, 2);
rlm@1:       luaL_argcheck(L, l<=u, 2, "interval is empty");
rlm@1:       lua_pushnumber(L, floor(r*(u-l+1))+l);  /* int between `l' and `u' */
rlm@1:       break;
rlm@1:     }
rlm@1:     default: return luaL_error(L, "wrong number of arguments");
rlm@1:   }
rlm@1:   return 1;
rlm@1: }
rlm@1: 
rlm@1: 
rlm@1: static int math_randomseed (lua_State *L) {
rlm@1:   srand(luaL_checkint(L, 1));
rlm@1:   return 0;
rlm@1: }
rlm@1: 
rlm@1: 
rlm@1: static const luaL_Reg mathlib[] = {
rlm@1:   {"abs",   math_abs},
rlm@1:   {"acos",  math_acos},
rlm@1:   {"asin",  math_asin},
rlm@1:   {"atan2", math_atan2},
rlm@1:   {"atan",  math_atan},
rlm@1:   {"ceil",  math_ceil},
rlm@1:   {"cosh",   math_cosh},
rlm@1:   {"cos",   math_cos},
rlm@1:   {"deg",   math_deg},
rlm@1:   {"exp",   math_exp},
rlm@1:   {"floor", math_floor},
rlm@1:   {"fmod",   math_fmod},
rlm@1:   {"frexp", math_frexp},
rlm@1:   {"ldexp", math_ldexp},
rlm@1:   {"log10", math_log10},
rlm@1:   {"log",   math_log},
rlm@1:   {"max",   math_max},
rlm@1:   {"min",   math_min},
rlm@1:   {"modf",   math_modf},
rlm@1:   {"pow",   math_pow},
rlm@1:   {"rad",   math_rad},
rlm@1:   {"random",     math_random},
rlm@1:   {"randomseed", math_randomseed},
rlm@1:   {"sinh",   math_sinh},
rlm@1:   {"sin",   math_sin},
rlm@1:   {"sqrt",  math_sqrt},
rlm@1:   {"tanh",   math_tanh},
rlm@1:   {"tan",   math_tan},
rlm@1:   {NULL, NULL}
rlm@1: };
rlm@1: 
rlm@1: 
rlm@1: /*
rlm@1: ** Open math library
rlm@1: */
rlm@1: LUALIB_API int luaopen_math (lua_State *L) {
rlm@1:   luaL_register(L, LUA_MATHLIBNAME, mathlib);
rlm@1:   lua_pushnumber(L, PI);
rlm@1:   lua_setfield(L, -2, "pi");
rlm@1:   lua_pushnumber(L, HUGE_VAL);
rlm@1:   lua_setfield(L, -2, "huge");
rlm@1: #if defined(LUA_COMPAT_MOD)
rlm@1:   lua_getfield(L, -1, "fmod");
rlm@1:   lua_setfield(L, -2, "mod");
rlm@1: #endif
rlm@1:   return 1;
rlm@1: }
rlm@1: