1/*
2** $Id: lmathlib.c,v 1.67.1.1 2007/12/27 13:02:25 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 (3.14159265358979323846)
22#define RADIANS_PER_DEGREE (PI/180.0)
23
24
25
26static int math_abs (lua_State *L) {
27 lua_pushnumber(L, fabs(luaL_checknumber(L, 1)));
28 return 1;
29}
30
31static int math_sin (lua_State *L) {
32 lua_pushnumber(L, sin(luaL_checknumber(L, 1)));
33 return 1;
34}
35
36static int math_sinh (lua_State *L) {
37 lua_pushnumber(L, sinh(luaL_checknumber(L, 1)));
38 return 1;
39}
40
41static int math_cos (lua_State *L) {
42 lua_pushnumber(L, cos(luaL_checknumber(L, 1)));
43 return 1;
44}
45
46static int math_cosh (lua_State *L) {
47 lua_pushnumber(L, cosh(luaL_checknumber(L, 1)));
48 return 1;
49}
50
51static int math_tan (lua_State *L) {
52 lua_pushnumber(L, tan(luaL_checknumber(L, 1)));
53 return 1;
54}
55
56static int math_tanh (lua_State *L) {
57 lua_pushnumber(L, tanh(luaL_checknumber(L, 1)));
58 return 1;
59}
60
61static int math_asin (lua_State *L) {
62 lua_pushnumber(L, asin(luaL_checknumber(L, 1)));
63 return 1;
64}
65
66static int math_acos (lua_State *L) {
67 lua_pushnumber(L, acos(luaL_checknumber(L, 1)));
68 return 1;
69}
70
71static int math_atan (lua_State *L) {
72 lua_pushnumber(L, atan(luaL_checknumber(L, 1)));
73 return 1;
74}
75
76static int math_atan2 (lua_State *L) {
77 lua_pushnumber(L, atan2(luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
78 return 1;
79}
80
81static int math_ceil (lua_State *L) {
82 lua_pushnumber(L, ceil(luaL_checknumber(L, 1)));
83 return 1;
84}
85
86static int math_floor (lua_State *L) {
87 lua_pushnumber(L, floor(luaL_checknumber(L, 1)));
88 return 1;
89}
90
91static int math_fmod (lua_State *L) {
92 lua_pushnumber(L, fmod(luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
93 return 1;
94}
95
96static int math_modf (lua_State *L) {
97 double ip;
98 double fp = modf(luaL_checknumber(L, 1), &ip);
99 lua_pushnumber(L, ip);
100 lua_pushnumber(L, fp);
101 return 2;
102}
103
104static int math_sqrt (lua_State *L) {
105 lua_pushnumber(L, sqrt(luaL_checknumber(L, 1)));
106 return 1;
107}
108
109static int math_pow (lua_State *L) {
110 lua_pushnumber(L, pow(luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
111 return 1;
112}
113
114static int math_log (lua_State *L) {
115 lua_pushnumber(L, log(luaL_checknumber(L, 1)));
116 return 1;
117}
118
119static int math_log10 (lua_State *L) {
120 lua_pushnumber(L, log10(luaL_checknumber(L, 1)));
121 return 1;
122}
123
124static int math_exp (lua_State *L) {
125 lua_pushnumber(L, exp(luaL_checknumber(L, 1)));
126 return 1;
127}
128
129static int math_deg (lua_State *L) {
130 lua_pushnumber(L, luaL_checknumber(L, 1)/RADIANS_PER_DEGREE);
131 return 1;
132}
133
134static int math_rad (lua_State *L) {
135 lua_pushnumber(L, luaL_checknumber(L, 1)*RADIANS_PER_DEGREE);
136 return 1;
137}
138
139static int math_frexp (lua_State *L) {
140 int e;
141 lua_pushnumber(L, frexp(luaL_checknumber(L, 1), &e));
142 lua_pushinteger(L, e);
143 return 2;
144}
145
146static int math_ldexp (lua_State *L) {
147 lua_pushnumber(L, ldexp(luaL_checknumber(L, 1), luaL_checkint(L, 2)));
148 return 1;
149}
150
151
152
153static int math_min (lua_State *L) {
154 int n = lua_gettop(L); /* number of arguments */
155 lua_Number dmin = luaL_checknumber(L, 1);
156 int i;
157 for (i=2; i<=n; i++) {
158 lua_Number d = luaL_checknumber(L, i);
159 if (d < dmin)
160 dmin = d;
161 }
162 lua_pushnumber(L, dmin);
163 return 1;
164}
165
166
167static int math_max (lua_State *L) {
168 int n = lua_gettop(L); /* number of arguments */
169 lua_Number dmax = luaL_checknumber(L, 1);
170 int i;
171 for (i=2; i<=n; i++) {
172 lua_Number d = luaL_checknumber(L, i);
173 if (d > dmax)
174 dmax = d;
175 }
176 lua_pushnumber(L, dmax);
177 return 1;
178}
179
180
181static int math_random (lua_State *L) {
182 /* the `%' avoids the (rare) case of r==1, and is needed also because on
183 some systems (SunOS!) `rand()' may return a value larger than RAND_MAX */
184 lua_Number r = (lua_Number)(rand()%RAND_MAX) / (lua_Number)RAND_MAX;
185 switch (lua_gettop(L)) { /* check number of arguments */
186 case 0: { /* no arguments */
187 lua_pushnumber(L, r); /* Number between 0 and 1 */
188 break;
189 }
190 case 1: { /* only upper limit */
191 int u = luaL_checkint(L, 1);
192 luaL_argcheck(L, 1<=u, 1, "interval is empty");
193 lua_pushnumber(L, floor(r*u)+1); /* int between 1 and `u' */
194 break;
195 }
196 case 2: { /* lower and upper limits */
197 int l = luaL_checkint(L, 1);
198 int u = luaL_checkint(L, 2);
199 luaL_argcheck(L, l<=u, 2, "interval is empty");
200 lua_pushnumber(L, floor(r*(u-l+1))+l); /* int between `l' and `u' */
201 break;
202 }
203 default: return luaL_error(L, "wrong number of arguments");
204 }
205 return 1;
206}
207
208
209static int math_randomseed (lua_State *L) {
210 srand(luaL_checkint(L, 1));
211 return 0;
212}
213
214
215static const luaL_Reg mathlib[] = {
216 {"abs", math_abs},
217 {"acos", math_acos},
218 {"asin", math_asin},
219 {"atan2", math_atan2},
220 {"atan", math_atan},
221 {"ceil", math_ceil},
222 {"cosh", math_cosh},
223 {"cos", math_cos},
224 {"deg", math_deg},
225 {"exp", math_exp},
226 {"floor", math_floor},
227 {"fmod", math_fmod},
228 {"frexp", math_frexp},
229 {"ldexp", math_ldexp},
230 {"log10", math_log10},
231 {"log", math_log},
232 {"max", math_max},
233 {"min", math_min},
234 {"modf", math_modf},
235 {"pow", math_pow},
236 {"rad", math_rad},
237 {"random", math_random},
238 {"randomseed", math_randomseed},
239 {"sinh", math_sinh},
240 {"sin", math_sin},
241 {"sqrt", math_sqrt},
242 {"tanh", math_tanh},
243 {"tan", math_tan},
244 {NULL, NULL}
245};
246
247
248/*
249** Open math library
250*/
251LUALIB_API int luaopen_math (lua_State *L) {
252 luaL_register(L, LUA_MATHLIBNAME, mathlib);
253 lua_pushnumber(L, PI);
254 lua_setfield(L, -2, "pi");
255 lua_pushnumber(L, HUGE_VAL);
256 lua_setfield(L, -2, "huge");
257#if defined(LUA_COMPAT_MOD)
258 lua_getfield(L, -1, "fmod");
259 lua_setfield(L, -2, "mod");
260#endif
261 return 1;
262}
263
264