2 ** $Id: lmathlib.c,v 1.83.1.1 2013/04/12 18:48:47 roberto Exp $
3 ** Standard mathematical library
4 ** See Copyright Notice in lua.h
21 #define PI ((lua_Number)(3.1415926535897932384626433832795))
22 #define RADIANS_PER_DEGREE ((lua_Number)(PI/180.0))
26 static int math_abs (lua_State *L) {
27 lua_pushnumber(L, l_mathop(fabs)(luaL_checknumber(L, 1)));
31 static int math_sin (lua_State *L) {
32 lua_pushnumber(L, l_mathop(sin)(luaL_checknumber(L, 1)));
36 static int math_sinh (lua_State *L) {
37 lua_pushnumber(L, l_mathop(sinh)(luaL_checknumber(L, 1)));
41 static int math_cos (lua_State *L) {
42 lua_pushnumber(L, l_mathop(cos)(luaL_checknumber(L, 1)));
46 static int math_cosh (lua_State *L) {
47 lua_pushnumber(L, l_mathop(cosh)(luaL_checknumber(L, 1)));
51 static int math_tan (lua_State *L) {
52 lua_pushnumber(L, l_mathop(tan)(luaL_checknumber(L, 1)));
56 static int math_tanh (lua_State *L) {
57 lua_pushnumber(L, l_mathop(tanh)(luaL_checknumber(L, 1)));
61 static int math_asin (lua_State *L) {
62 lua_pushnumber(L, l_mathop(asin)(luaL_checknumber(L, 1)));
66 static int math_acos (lua_State *L) {
67 lua_pushnumber(L, l_mathop(acos)(luaL_checknumber(L, 1)));
71 static int math_atan (lua_State *L) {
72 lua_pushnumber(L, l_mathop(atan)(luaL_checknumber(L, 1)));
76 static int math_atan2 (lua_State *L) {
77 lua_pushnumber(L, l_mathop(atan2)(luaL_checknumber(L, 1),
78 luaL_checknumber(L, 2)));
82 static int math_ceil (lua_State *L) {
83 lua_pushnumber(L, l_mathop(ceil)(luaL_checknumber(L, 1)));
87 static int math_floor (lua_State *L) {
88 lua_pushnumber(L, l_mathop(floor)(luaL_checknumber(L, 1)));
92 static int math_fmod (lua_State *L) {
93 lua_pushnumber(L, l_mathop(fmod)(luaL_checknumber(L, 1),
94 luaL_checknumber(L, 2)));
98 static int math_modf (lua_State *L) {
100 lua_Number fp = l_mathop(modf)(luaL_checknumber(L, 1), &ip);
101 lua_pushnumber(L, ip);
102 lua_pushnumber(L, fp);
106 static int math_sqrt (lua_State *L) {
107 lua_pushnumber(L, l_mathop(sqrt)(luaL_checknumber(L, 1)));
111 static int math_pow (lua_State *L) {
112 lua_Number x = luaL_checknumber(L, 1);
113 lua_Number y = luaL_checknumber(L, 2);
114 lua_pushnumber(L, l_mathop(pow)(x, y));
118 static int math_log (lua_State *L) {
119 lua_Number x = luaL_checknumber(L, 1);
121 if (lua_isnoneornil(L, 2))
122 res = l_mathop(log)(x);
124 lua_Number base = luaL_checknumber(L, 2);
125 if (base == (lua_Number)10.0) res = l_mathop(log10)(x);
126 else res = l_mathop(log)(x)/l_mathop(log)(base);
128 lua_pushnumber(L, res);
132 #if defined(LUA_COMPAT_LOG10)
133 static int math_log10 (lua_State *L) {
134 lua_pushnumber(L, l_mathop(log10)(luaL_checknumber(L, 1)));
139 static int math_exp (lua_State *L) {
140 lua_pushnumber(L, l_mathop(exp)(luaL_checknumber(L, 1)));
144 static int math_deg (lua_State *L) {
145 lua_pushnumber(L, luaL_checknumber(L, 1)/RADIANS_PER_DEGREE);
149 static int math_rad (lua_State *L) {
150 lua_pushnumber(L, luaL_checknumber(L, 1)*RADIANS_PER_DEGREE);
154 static int math_frexp (lua_State *L) {
156 lua_pushnumber(L, l_mathop(frexp)(luaL_checknumber(L, 1), &e));
157 lua_pushinteger(L, e);
161 static int math_ldexp (lua_State *L) {
162 lua_Number x = luaL_checknumber(L, 1);
163 int ep = luaL_checkint(L, 2);
164 lua_pushnumber(L, l_mathop(ldexp)(x, ep));
170 static int math_min (lua_State *L) {
171 int n = lua_gettop(L); /* number of arguments */
172 lua_Number dmin = luaL_checknumber(L, 1);
174 for (i=2; i<=n; i++) {
175 lua_Number d = luaL_checknumber(L, i);
179 lua_pushnumber(L, dmin);
184 static int math_max (lua_State *L) {
185 int n = lua_gettop(L); /* number of arguments */
186 lua_Number dmax = luaL_checknumber(L, 1);
188 for (i=2; i<=n; i++) {
189 lua_Number d = luaL_checknumber(L, i);
193 lua_pushnumber(L, dmax);
198 static int math_random (lua_State *L) {
199 /* the `%' avoids the (rare) case of r==1, and is needed also because on
200 some systems (SunOS!) `rand()' may return a value larger than RAND_MAX */
201 lua_Number r = (lua_Number)(rand()%RAND_MAX) / (lua_Number)RAND_MAX;
202 switch (lua_gettop(L)) { /* check number of arguments */
203 case 0: { /* no arguments */
204 lua_pushnumber(L, r); /* Number between 0 and 1 */
207 case 1: { /* only upper limit */
208 lua_Number u = luaL_checknumber(L, 1);
209 luaL_argcheck(L, (lua_Number)1.0 <= u, 1, "interval is empty");
210 lua_pushnumber(L, l_mathop(floor)(r*u) + (lua_Number)(1.0)); /* [1, u] */
213 case 2: { /* lower and upper limits */
214 lua_Number l = luaL_checknumber(L, 1);
215 lua_Number u = luaL_checknumber(L, 2);
216 luaL_argcheck(L, l <= u, 2, "interval is empty");
217 lua_pushnumber(L, l_mathop(floor)(r*(u-l+1)) + l); /* [l, u] */
220 default: return luaL_error(L, "wrong number of arguments");
226 static int math_randomseed (lua_State *L) {
227 srand(luaL_checkunsigned(L, 1));
228 (void)rand(); /* discard first value to avoid undesirable correlations */
233 static const luaL_Reg mathlib[] = {
237 {"atan2", math_atan2},
244 {"floor", math_floor},
246 {"frexp", math_frexp},
247 {"ldexp", math_ldexp},
248 #if defined(LUA_COMPAT_LOG10)
249 {"log10", math_log10},
257 {"random", math_random},
258 {"randomseed", math_randomseed},
271 LUAMOD_API int luaopen_math (lua_State *L) {
272 luaL_newlib(L, mathlib);
273 lua_pushnumber(L, PI);
274 lua_setfield(L, -2, "pi");
275 lua_pushnumber(L, HUGE_VAL);
276 lua_setfield(L, -2, "huge");