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16a5fed6 1/*\r
2** $Id: lmathlib.c,v 1.83.1.1 2013/04/12 18:48:47 roberto Exp $\r
3** Standard mathematical library\r
4** See Copyright Notice in lua.h\r
5*/\r
6\r
7\r
8#include <stdlib.h>\r
9#include <math.h>\r
10\r
11#define lmathlib_c\r
12#define LUA_LIB\r
13\r
14#include "lua.h"\r
15\r
16#include "lauxlib.h"\r
17#include "lualib.h"\r
18\r
19\r
20#undef PI\r
21#define PI ((lua_Number)(3.1415926535897932384626433832795))\r
22#define RADIANS_PER_DEGREE ((lua_Number)(PI/180.0))\r
23\r
24\r
25\r
26static int math_abs (lua_State *L) {\r
27 lua_pushnumber(L, l_mathop(fabs)(luaL_checknumber(L, 1)));\r
28 return 1;\r
29}\r
30\r
31static int math_sin (lua_State *L) {\r
32 lua_pushnumber(L, l_mathop(sin)(luaL_checknumber(L, 1)));\r
33 return 1;\r
34}\r
35\r
36static int math_sinh (lua_State *L) {\r
37 lua_pushnumber(L, l_mathop(sinh)(luaL_checknumber(L, 1)));\r
38 return 1;\r
39}\r
40\r
41static int math_cos (lua_State *L) {\r
42 lua_pushnumber(L, l_mathop(cos)(luaL_checknumber(L, 1)));\r
43 return 1;\r
44}\r
45\r
46static int math_cosh (lua_State *L) {\r
47 lua_pushnumber(L, l_mathop(cosh)(luaL_checknumber(L, 1)));\r
48 return 1;\r
49}\r
50\r
51static int math_tan (lua_State *L) {\r
52 lua_pushnumber(L, l_mathop(tan)(luaL_checknumber(L, 1)));\r
53 return 1;\r
54}\r
55\r
56static int math_tanh (lua_State *L) {\r
57 lua_pushnumber(L, l_mathop(tanh)(luaL_checknumber(L, 1)));\r
58 return 1;\r
59}\r
60\r
61static int math_asin (lua_State *L) {\r
62 lua_pushnumber(L, l_mathop(asin)(luaL_checknumber(L, 1)));\r
63 return 1;\r
64}\r
65\r
66static int math_acos (lua_State *L) {\r
67 lua_pushnumber(L, l_mathop(acos)(luaL_checknumber(L, 1)));\r
68 return 1;\r
69}\r
70\r
71static int math_atan (lua_State *L) {\r
72 lua_pushnumber(L, l_mathop(atan)(luaL_checknumber(L, 1)));\r
73 return 1;\r
74}\r
75\r
76static int math_atan2 (lua_State *L) {\r
77 lua_pushnumber(L, l_mathop(atan2)(luaL_checknumber(L, 1),\r
78 luaL_checknumber(L, 2)));\r
79 return 1;\r
80}\r
81\r
82static int math_ceil (lua_State *L) {\r
83 lua_pushnumber(L, l_mathop(ceil)(luaL_checknumber(L, 1)));\r
84 return 1;\r
85}\r
86\r
87static int math_floor (lua_State *L) {\r
88 lua_pushnumber(L, l_mathop(floor)(luaL_checknumber(L, 1)));\r
89 return 1;\r
90}\r
91\r
92static int math_fmod (lua_State *L) {\r
93 lua_pushnumber(L, l_mathop(fmod)(luaL_checknumber(L, 1),\r
94 luaL_checknumber(L, 2)));\r
95 return 1;\r
96}\r
97\r
98static int math_modf (lua_State *L) {\r
99 lua_Number ip;\r
100 lua_Number fp = l_mathop(modf)(luaL_checknumber(L, 1), &ip);\r
101 lua_pushnumber(L, ip);\r
102 lua_pushnumber(L, fp);\r
103 return 2;\r
104}\r
105\r
106static int math_sqrt (lua_State *L) {\r
107 lua_pushnumber(L, l_mathop(sqrt)(luaL_checknumber(L, 1)));\r
108 return 1;\r
109}\r
110\r
111static int math_pow (lua_State *L) {\r
112 lua_Number x = luaL_checknumber(L, 1);\r
113 lua_Number y = luaL_checknumber(L, 2);\r
114 lua_pushnumber(L, l_mathop(pow)(x, y));\r
115 return 1;\r
116}\r
117\r
118static int math_log (lua_State *L) {\r
119 lua_Number x = luaL_checknumber(L, 1);\r
120 lua_Number res;\r
121 if (lua_isnoneornil(L, 2))\r
122 res = l_mathop(log)(x);\r
123 else {\r
124 lua_Number base = luaL_checknumber(L, 2);\r
125 if (base == (lua_Number)10.0) res = l_mathop(log10)(x);\r
126 else res = l_mathop(log)(x)/l_mathop(log)(base);\r
127 }\r
128 lua_pushnumber(L, res);\r
129 return 1;\r
130}\r
131\r
132#if defined(LUA_COMPAT_LOG10)\r
133static int math_log10 (lua_State *L) {\r
134 lua_pushnumber(L, l_mathop(log10)(luaL_checknumber(L, 1)));\r
135 return 1;\r
136}\r
137#endif\r
138\r
139static int math_exp (lua_State *L) {\r
140 lua_pushnumber(L, l_mathop(exp)(luaL_checknumber(L, 1)));\r
141 return 1;\r
142}\r
143\r
144static int math_deg (lua_State *L) {\r
145 lua_pushnumber(L, luaL_checknumber(L, 1)/RADIANS_PER_DEGREE);\r
146 return 1;\r
147}\r
148\r
149static int math_rad (lua_State *L) {\r
150 lua_pushnumber(L, luaL_checknumber(L, 1)*RADIANS_PER_DEGREE);\r
151 return 1;\r
152}\r
153\r
154static int math_frexp (lua_State *L) {\r
155 int e;\r
156 lua_pushnumber(L, l_mathop(frexp)(luaL_checknumber(L, 1), &e));\r
157 lua_pushinteger(L, e);\r
158 return 2;\r
159}\r
160\r
161static int math_ldexp (lua_State *L) {\r
162 lua_Number x = luaL_checknumber(L, 1);\r
163 int ep = luaL_checkint(L, 2);\r
164 lua_pushnumber(L, l_mathop(ldexp)(x, ep));\r
165 return 1;\r
166}\r
167\r
168\r
169\r
170static int math_min (lua_State *L) {\r
171 int n = lua_gettop(L); /* number of arguments */\r
172 lua_Number dmin = luaL_checknumber(L, 1);\r
173 int i;\r
174 for (i=2; i<=n; i++) {\r
175 lua_Number d = luaL_checknumber(L, i);\r
176 if (d < dmin)\r
177 dmin = d;\r
178 }\r
179 lua_pushnumber(L, dmin);\r
180 return 1;\r
181}\r
182\r
183\r
184static int math_max (lua_State *L) {\r
185 int n = lua_gettop(L); /* number of arguments */\r
186 lua_Number dmax = luaL_checknumber(L, 1);\r
187 int i;\r
188 for (i=2; i<=n; i++) {\r
189 lua_Number d = luaL_checknumber(L, i);\r
190 if (d > dmax)\r
191 dmax = d;\r
192 }\r
193 lua_pushnumber(L, dmax);\r
194 return 1;\r
195}\r
196\r
197\r
198static int math_random (lua_State *L) {\r
199 /* the `%' avoids the (rare) case of r==1, and is needed also because on\r
200 some systems (SunOS!) `rand()' may return a value larger than RAND_MAX */\r
201 lua_Number r = (lua_Number)(rand()%RAND_MAX) / (lua_Number)RAND_MAX;\r
202 switch (lua_gettop(L)) { /* check number of arguments */\r
203 case 0: { /* no arguments */\r
204 lua_pushnumber(L, r); /* Number between 0 and 1 */\r
205 break;\r
206 }\r
207 case 1: { /* only upper limit */\r
208 lua_Number u = luaL_checknumber(L, 1);\r
209 luaL_argcheck(L, (lua_Number)1.0 <= u, 1, "interval is empty");\r
210 lua_pushnumber(L, l_mathop(floor)(r*u) + (lua_Number)(1.0)); /* [1, u] */\r
211 break;\r
212 }\r
213 case 2: { /* lower and upper limits */\r
214 lua_Number l = luaL_checknumber(L, 1);\r
215 lua_Number u = luaL_checknumber(L, 2);\r
216 luaL_argcheck(L, l <= u, 2, "interval is empty");\r
217 lua_pushnumber(L, l_mathop(floor)(r*(u-l+1)) + l); /* [l, u] */\r
218 break;\r
219 }\r
220 default: return luaL_error(L, "wrong number of arguments");\r
221 }\r
222 return 1;\r
223}\r
224\r
225\r
226static int math_randomseed (lua_State *L) {\r
227 srand(luaL_checkunsigned(L, 1));\r
228 (void)rand(); /* discard first value to avoid undesirable correlations */\r
229 return 0;\r
230}\r
231\r
232\r
233static const luaL_Reg mathlib[] = {\r
234 {"abs", math_abs},\r
235 {"acos", math_acos},\r
236 {"asin", math_asin},\r
237 {"atan2", math_atan2},\r
238 {"atan", math_atan},\r
239 {"ceil", math_ceil},\r
240 {"cosh", math_cosh},\r
241 {"cos", math_cos},\r
242 {"deg", math_deg},\r
243 {"exp", math_exp},\r
244 {"floor", math_floor},\r
245 {"fmod", math_fmod},\r
246 {"frexp", math_frexp},\r
247 {"ldexp", math_ldexp},\r
248#if defined(LUA_COMPAT_LOG10)\r
249 {"log10", math_log10},\r
250#endif\r
251 {"log", math_log},\r
252 {"max", math_max},\r
253 {"min", math_min},\r
254 {"modf", math_modf},\r
255 {"pow", math_pow},\r
256 {"rad", math_rad},\r
257 {"random", math_random},\r
258 {"randomseed", math_randomseed},\r
259 {"sinh", math_sinh},\r
260 {"sin", math_sin},\r
261 {"sqrt", math_sqrt},\r
262 {"tanh", math_tanh},\r
263 {"tan", math_tan},\r
264 {NULL, NULL}\r
265};\r
266\r
267\r
268/*\r
269** Open math library\r
270*/\r
271LUAMOD_API int luaopen_math (lua_State *L) {\r
272 luaL_newlib(L, mathlib);\r
273 lua_pushnumber(L, PI);\r
274 lua_setfield(L, -2, "pi");\r
275 lua_pushnumber(L, HUGE_VAL);\r
276 lua_setfield(L, -2, "huge");\r
277 return 1;\r
278}\r
279\r