1 /*
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
5 */
6
7
8 #include <stdlib.h>
9 #include <math.h>
10
11 #define lmathlib_c
12 #define LUA_LIB
13
14 #include "lua.h"
15
16 #include "lauxlib.h"
17 #include "lualib.h"
18
19
20 #undef PI
21 #define PI ((lua_Number)(3.1415926535897932384626433832795))
22 #define RADIANS_PER_DEGREE ((lua_Number)(PI/180.0))
23
24
25
math_abs(lua_State * L)26 static int math_abs (lua_State *L) {
27 lua_pushnumber(L, l_mathop(fabs)(luaL_checknumber(L, 1)));
28 return 1;
29 }
30
math_sin(lua_State * L)31 static int math_sin (lua_State *L) {
32 lua_pushnumber(L, l_mathop(sin)(luaL_checknumber(L, 1)));
33 return 1;
34 }
35
math_sinh(lua_State * L)36 static int math_sinh (lua_State *L) {
37 lua_pushnumber(L, l_mathop(sinh)(luaL_checknumber(L, 1)));
38 return 1;
39 }
40
math_cos(lua_State * L)41 static int math_cos (lua_State *L) {
42 lua_pushnumber(L, l_mathop(cos)(luaL_checknumber(L, 1)));
43 return 1;
44 }
45
math_cosh(lua_State * L)46 static int math_cosh (lua_State *L) {
47 lua_pushnumber(L, l_mathop(cosh)(luaL_checknumber(L, 1)));
48 return 1;
49 }
50
math_tan(lua_State * L)51 static int math_tan (lua_State *L) {
52 lua_pushnumber(L, l_mathop(tan)(luaL_checknumber(L, 1)));
53 return 1;
54 }
55
math_tanh(lua_State * L)56 static int math_tanh (lua_State *L) {
57 lua_pushnumber(L, l_mathop(tanh)(luaL_checknumber(L, 1)));
58 return 1;
59 }
60
math_asin(lua_State * L)61 static int math_asin (lua_State *L) {
62 lua_pushnumber(L, l_mathop(asin)(luaL_checknumber(L, 1)));
63 return 1;
64 }
65
math_acos(lua_State * L)66 static int math_acos (lua_State *L) {
67 lua_pushnumber(L, l_mathop(acos)(luaL_checknumber(L, 1)));
68 return 1;
69 }
70
math_atan(lua_State * L)71 static int math_atan (lua_State *L) {
72 lua_pushnumber(L, l_mathop(atan)(luaL_checknumber(L, 1)));
73 return 1;
74 }
75
math_atan2(lua_State * L)76 static int math_atan2 (lua_State *L) {
77 lua_pushnumber(L, l_mathop(atan2)(luaL_checknumber(L, 1),
78 luaL_checknumber(L, 2)));
79 return 1;
80 }
81
math_ceil(lua_State * L)82 static int math_ceil (lua_State *L) {
83 lua_pushnumber(L, l_mathop(ceil)(luaL_checknumber(L, 1)));
84 return 1;
85 }
86
math_floor(lua_State * L)87 static int math_floor (lua_State *L) {
88 lua_pushnumber(L, l_mathop(floor)(luaL_checknumber(L, 1)));
89 return 1;
90 }
91
math_fmod(lua_State * L)92 static int math_fmod (lua_State *L) {
93 lua_pushnumber(L, l_mathop(fmod)(luaL_checknumber(L, 1),
94 luaL_checknumber(L, 2)));
95 return 1;
96 }
97
math_modf(lua_State * L)98 static int math_modf (lua_State *L) {
99 lua_Number ip;
100 lua_Number fp = l_mathop(modf)(luaL_checknumber(L, 1), &ip);
101 lua_pushnumber(L, ip);
102 lua_pushnumber(L, fp);
103 return 2;
104 }
105
math_sqrt(lua_State * L)106 static int math_sqrt (lua_State *L) {
107 lua_pushnumber(L, l_mathop(sqrt)(luaL_checknumber(L, 1)));
108 return 1;
109 }
110
math_pow(lua_State * L)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));
115 return 1;
116 }
117
math_log(lua_State * L)118 static int math_log (lua_State *L) {
119 lua_Number x = luaL_checknumber(L, 1);
120 lua_Number res;
121 if (lua_isnoneornil(L, 2))
122 res = l_mathop(log)(x);
123 else {
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);
127 }
128 lua_pushnumber(L, res);
129 return 1;
130 }
131
132 #if defined(LUA_COMPAT_LOG10)
math_log10(lua_State * L)133 static int math_log10 (lua_State *L) {
134 lua_pushnumber(L, l_mathop(log10)(luaL_checknumber(L, 1)));
135 return 1;
136 }
137 #endif
138
math_exp(lua_State * L)139 static int math_exp (lua_State *L) {
140 lua_pushnumber(L, l_mathop(exp)(luaL_checknumber(L, 1)));
141 return 1;
142 }
143
math_deg(lua_State * L)144 static int math_deg (lua_State *L) {
145 lua_pushnumber(L, luaL_checknumber(L, 1)/RADIANS_PER_DEGREE);
146 return 1;
147 }
148
math_rad(lua_State * L)149 static int math_rad (lua_State *L) {
150 lua_pushnumber(L, luaL_checknumber(L, 1)*RADIANS_PER_DEGREE);
151 return 1;
152 }
153
math_frexp(lua_State * L)154 static int math_frexp (lua_State *L) {
155 int e;
156 lua_pushnumber(L, l_mathop(frexp)(luaL_checknumber(L, 1), &e));
157 lua_pushinteger(L, e);
158 return 2;
159 }
160
math_ldexp(lua_State * L)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));
165 return 1;
166 }
167
168
169
math_min(lua_State * L)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);
173 int i;
174 for (i=2; i<=n; i++) {
175 lua_Number d = luaL_checknumber(L, i);
176 if (d < dmin)
177 dmin = d;
178 }
179 lua_pushnumber(L, dmin);
180 return 1;
181 }
182
183
math_max(lua_State * L)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);
187 int i;
188 for (i=2; i<=n; i++) {
189 lua_Number d = luaL_checknumber(L, i);
190 if (d > dmax)
191 dmax = d;
192 }
193 lua_pushnumber(L, dmax);
194 return 1;
195 }
196
197
math_random(lua_State * L)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 */
205 break;
206 }
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] */
211 break;
212 }
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] */
218 break;
219 }
220 default: return luaL_error(L, "wrong number of arguments");
221 }
222 return 1;
223 }
224
225
math_randomseed(lua_State * L)226 static int math_randomseed (lua_State *L) {
227 srand(luaL_checkunsigned(L, 1));
228 (void)rand(); /* discard first value to avoid undesirable correlations */
229 return 0;
230 }
231
232
233 static const luaL_Reg mathlib[] = {
234 {"abs", math_abs},
235 {"acos", math_acos},
236 {"asin", math_asin},
237 {"atan2", math_atan2},
238 {"atan", math_atan},
239 {"ceil", math_ceil},
240 {"cosh", math_cosh},
241 {"cos", math_cos},
242 {"deg", math_deg},
243 {"exp", math_exp},
244 {"floor", math_floor},
245 {"fmod", math_fmod},
246 {"frexp", math_frexp},
247 {"ldexp", math_ldexp},
248 #if defined(LUA_COMPAT_LOG10)
249 {"log10", math_log10},
250 #endif
251 {"log", math_log},
252 {"max", math_max},
253 {"min", math_min},
254 {"modf", math_modf},
255 {"pow", math_pow},
256 {"rad", math_rad},
257 {"random", math_random},
258 {"randomseed", math_randomseed},
259 {"sinh", math_sinh},
260 {"sin", math_sin},
261 {"sqrt", math_sqrt},
262 {"tanh", math_tanh},
263 {"tan", math_tan},
264 {NULL, NULL}
265 };
266
267
268 /*
269 ** Open math library
270 */
luaopen_math(lua_State * L)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");
277 return 1;
278 }
279
280