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lmathlib.cpp
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1 /*
2 ** $Id: lmathlib.c,v 1.119 2016/12/22 13:08:50 roberto Exp $
3 ** Standard mathematical library
4 ** See Copyright Notice in lua.h
5 */
6 
7 #define lmathlib_c
8 #define LUA_LIB
9 
10 #include "lprefix.h"
11 
12 
13 #include <stdlib.h>
14 #include <math.h>
15 
16 #include "lua.h"
17 
18 #include "lauxlib.h"
19 #include "lualib.h"
20 
21 
22 #undef PI
23 #define PI (l_mathop(3.141592653589793238462643383279502884))
24 
25 
26 #if !defined(l_rand) /* { */
27 #if defined(LUA_USE_POSIX)
28 #define l_rand() random()
29 #define l_srand(x) srandom(x)
30 #define L_RANDMAX 2147483647 /* (2^31 - 1), following POSIX */
31 #else
32 #define l_rand() rand()
33 #define l_srand(x) srand(x)
34 #define L_RANDMAX RAND_MAX
35 #endif
36 #endif /* } */
37 
38 
39 static int math_abs (lua_State *L) {
40  if (lua_isinteger(L, 1)) {
41  lua_Integer n = lua_tointeger(L, 1);
42  if (n < 0) n = (lua_Integer)(0u - (lua_Unsigned)n);
43  lua_pushinteger(L, n);
44  }
45  else
46  lua_pushnumber(L, l_mathop(fabs)(luaL_checknumber(L, 1)));
47  return 1;
48 }
49 
50 static int math_sin (lua_State *L) {
52  return 1;
53 }
54 
55 static int math_cos (lua_State *L) {
57  return 1;
58 }
59 
60 static int math_tan (lua_State *L) {
62  return 1;
63 }
64 
65 static int math_asin (lua_State *L) {
66  lua_pushnumber(L, l_mathop(asin)(luaL_checknumber(L, 1)));
67  return 1;
68 }
69 
70 static int math_acos (lua_State *L) {
71  lua_pushnumber(L, l_mathop(acos)(luaL_checknumber(L, 1)));
72  return 1;
73 }
74 
75 static int math_atan (lua_State *L) {
76  lua_Number y = luaL_checknumber(L, 1);
77  lua_Number x = luaL_optnumber(L, 2, 1);
78  lua_pushnumber(L, l_mathop(atan2)(y, x));
79  return 1;
80 }
81 
82 
83 static int math_toint (lua_State *L) {
84  int valid;
85  lua_Integer n = lua_tointegerx(L, 1, &valid);
86  if (valid)
87  lua_pushinteger(L, n);
88  else {
89  luaL_checkany(L, 1);
90  lua_pushnil(L); /* value is not convertible to integer */
91  }
92  return 1;
93 }
94 
95 
96 static void pushnumint (lua_State *L, lua_Number d) {
97  lua_Integer n;
98  if (lua_numbertointeger(d, &n)) /* does 'd' fit in an integer? */
99  lua_pushinteger(L, n); /* result is integer */
100  else
101  lua_pushnumber(L, d); /* result is float */
102 }
103 
104 
105 static int math_floor (lua_State *L) {
106  if (lua_isinteger(L, 1))
107  lua_settop(L, 1); /* integer is its own floor */
108  else {
109  lua_Number d = l_mathop(floor)(luaL_checknumber(L, 1));
110  pushnumint(L, d);
111  }
112  return 1;
113 }
114 
115 
116 static int math_ceil (lua_State *L) {
117  if (lua_isinteger(L, 1))
118  lua_settop(L, 1); /* integer is its own ceil */
119  else {
120  lua_Number d = l_mathop(ceil)(luaL_checknumber(L, 1));
121  pushnumint(L, d);
122  }
123  return 1;
124 }
125 
126 
127 static int math_fmod (lua_State *L) {
128  if (lua_isinteger(L, 1) && lua_isinteger(L, 2)) {
129  lua_Integer d = lua_tointeger(L, 2);
130  if ((lua_Unsigned)d + 1u <= 1u) { /* special cases: -1 or 0 */
131  luaL_argcheck(L, d != 0, 2, "zero");
132  lua_pushinteger(L, 0); /* avoid overflow with 0x80000... / -1 */
133  }
134  else
135  lua_pushinteger(L, lua_tointeger(L, 1) % d);
136  }
137  else
139  luaL_checknumber(L, 2)));
140  return 1;
141 }
142 
143 
144 /*
145 ** next function does not use 'modf', avoiding problems with 'double*'
146 ** (which is not compatible with 'float*') when lua_Number is not
147 ** 'double'.
148 */
149 static int math_modf (lua_State *L) {
150  if (lua_isinteger(L ,1)) {
151  lua_settop(L, 1); /* number is its own integer part */
152  lua_pushnumber(L, 0); /* no fractional part */
153  }
154  else {
155  lua_Number n = luaL_checknumber(L, 1);
156  /* integer part (rounds toward zero) */
157  lua_Number ip = (n < 0) ? l_mathop(ceil)(n) : l_mathop(floor)(n);
158  pushnumint(L, ip);
159  /* fractional part (test needed for inf/-inf) */
160  lua_pushnumber(L, (n == ip) ? l_mathop(0.0) : (n - ip));
161  }
162  return 2;
163 }
164 
165 
166 static int math_sqrt (lua_State *L) {
167  lua_pushnumber(L, l_mathop(sqrt)(luaL_checknumber(L, 1)));
168  return 1;
169 }
170 
171 
172 static int math_ult (lua_State *L) {
176  return 1;
177 }
178 
179 static int math_log (lua_State *L) {
180  lua_Number x = luaL_checknumber(L, 1);
181  lua_Number res;
182  if (lua_isnoneornil(L, 2))
183  res = l_mathop(log)(x);
184  else {
185  lua_Number base = luaL_checknumber(L, 2);
186 #if !defined(LUA_USE_C89)
187  if (base == l_mathop(2.0))
188  res = l_mathop(log2)(x); else
189 #endif
190  if (base == l_mathop(10.0))
191  res = l_mathop(log10)(x);
192  else
193  res = l_mathop(log)(x)/l_mathop(log)(base);
194  }
195  lua_pushnumber(L, res);
196  return 1;
197 }
198 
199 static int math_exp (lua_State *L) {
200  lua_pushnumber(L, l_mathop(exp)(luaL_checknumber(L, 1)));
201  return 1;
202 }
203 
204 static int math_deg (lua_State *L) {
205  lua_pushnumber(L, luaL_checknumber(L, 1) * (l_mathop(180.0) / PI));
206  return 1;
207 }
208 
209 static int math_rad (lua_State *L) {
210  lua_pushnumber(L, luaL_checknumber(L, 1) * (PI / l_mathop(180.0)));
211  return 1;
212 }
213 
214 
215 static int math_min (lua_State *L) {
216  int n = lua_gettop(L); /* number of arguments */
217  int imin = 1; /* index of current minimum value */
218  int i;
219  luaL_argcheck(L, n >= 1, 1, "value expected");
220  for (i = 2; i <= n; i++) {
221  if (lua_compare(L, i, imin, LUA_OPLT))
222  imin = i;
223  }
224  lua_pushvalue(L, imin);
225  return 1;
226 }
227 
228 
229 static int math_max (lua_State *L) {
230  int n = lua_gettop(L); /* number of arguments */
231  int imax = 1; /* index of current maximum value */
232  int i;
233  luaL_argcheck(L, n >= 1, 1, "value expected");
234  for (i = 2; i <= n; i++) {
235  if (lua_compare(L, imax, i, LUA_OPLT))
236  imax = i;
237  }
238  lua_pushvalue(L, imax);
239  return 1;
240 }
241 
242 /*
243 ** This function uses 'double' (instead of 'lua_Number') to ensure that
244 ** all bits from 'l_rand' can be represented, and that 'RANDMAX + 1.0'
245 ** will keep full precision (ensuring that 'r' is always less than 1.0.)
246 */
247 static int math_random (lua_State *L) {
248  lua_Integer low, up;
249  double r = (double)l_rand() * (1.0 / ((double)L_RANDMAX + 1.0));
250  switch (lua_gettop(L)) { /* check number of arguments */
251  case 0: { /* no arguments */
252  lua_pushnumber(L, (lua_Number)r); /* Number between 0 and 1 */
253  return 1;
254  }
255  case 1: { /* only upper limit */
256  low = 1;
257  up = luaL_checkinteger(L, 1);
258  break;
259  }
260  case 2: { /* lower and upper limits */
261  low = luaL_checkinteger(L, 1);
262  up = luaL_checkinteger(L, 2);
263  break;
264  }
265  default: return luaL_error(L, "wrong number of arguments");
266  }
267  /* random integer in the interval [low, up] */
268  luaL_argcheck(L, low <= up, 1, "interval is empty");
269  luaL_argcheck(L, low >= 0 || up <= LUA_MAXINTEGER + low, 1,
270  "interval too large");
271  r *= (double)(up - low) + 1.0;
272  lua_pushinteger(L, (lua_Integer)r + low);
273  return 1;
274 }
275 
276 
277 static int math_randomseed (lua_State *L) {
278  l_srand((unsigned int)(lua_Integer)luaL_checknumber(L, 1));
279  (void)l_rand(); /* discard first value to avoid undesirable correlations */
280  return 0;
281 }
282 
283 
284 static int math_type (lua_State *L) {
285  if (lua_type(L, 1) == LUA_TNUMBER) {
286  if (lua_isinteger(L, 1))
287  lua_pushliteral(L, "integer");
288  else
289  lua_pushliteral(L, "float");
290  }
291  else {
292  luaL_checkany(L, 1);
293  lua_pushnil(L);
294  }
295  return 1;
296 }
297 
298 
299 /*
300 ** {==================================================================
301 ** Deprecated functions (for compatibility only)
302 ** ===================================================================
303 */
304 #if defined(LUA_COMPAT_MATHLIB)
305 
306 static int math_cosh (lua_State *L) {
307  lua_pushnumber(L, l_mathop(cosh)(luaL_checknumber(L, 1)));
308  return 1;
309 }
310 
311 static int math_sinh (lua_State *L) {
312  lua_pushnumber(L, l_mathop(sinh)(luaL_checknumber(L, 1)));
313  return 1;
314 }
315 
316 static int math_tanh (lua_State *L) {
317  lua_pushnumber(L, l_mathop(tanh)(luaL_checknumber(L, 1)));
318  return 1;
319 }
320 
321 static int math_pow (lua_State *L) {
322  lua_Number x = luaL_checknumber(L, 1);
323  lua_Number y = luaL_checknumber(L, 2);
324  lua_pushnumber(L, l_mathop(pow)(x, y));
325  return 1;
326 }
327 
328 static int math_frexp (lua_State *L) {
329  int e;
330  lua_pushnumber(L, l_mathop(frexp)(luaL_checknumber(L, 1), &e));
331  lua_pushinteger(L, e);
332  return 2;
333 }
334 
335 static int math_ldexp (lua_State *L) {
336  lua_Number x = luaL_checknumber(L, 1);
337  int ep = (int)luaL_checkinteger(L, 2);
338  lua_pushnumber(L, l_mathop(ldexp)(x, ep));
339  return 1;
340 }
341 
342 static int math_log10 (lua_State *L) {
343  lua_pushnumber(L, l_mathop(log10)(luaL_checknumber(L, 1)));
344  return 1;
345 }
346 
347 #endif
348 /* }================================================================== */
349 
350 
351 
352 static const luaL_Reg mathlib[] = {
353  {"abs", math_abs},
354  {"acos", math_acos},
355  {"asin", math_asin},
356  {"atan", math_atan},
357  {"ceil", math_ceil},
358  {"cos", math_cos},
359  {"deg", math_deg},
360  {"exp", math_exp},
361  {"tointeger", math_toint},
362  {"floor", math_floor},
363  {"fmod", math_fmod},
364  {"ult", math_ult},
365  {"log", math_log},
366  {"max", math_max},
367  {"min", math_min},
368  {"modf", math_modf},
369  {"rad", math_rad},
370  {"random", math_random},
371  {"randomseed", math_randomseed},
372  {"sin", math_sin},
373  {"sqrt", math_sqrt},
374  {"tan", math_tan},
375  {"type", math_type},
376 #if defined(LUA_COMPAT_MATHLIB)
377  {"atan2", math_atan},
378  {"cosh", math_cosh},
379  {"sinh", math_sinh},
380  {"tanh", math_tanh},
381  {"pow", math_pow},
382  {"frexp", math_frexp},
383  {"ldexp", math_ldexp},
384  {"log10", math_log10},
385 #endif
386  /* placeholders */
387  {"pi", NULL},
388  {"huge", NULL},
389  {"maxinteger", NULL},
390  {"mininteger", NULL},
391  {NULL, NULL}
392 };
393 
394 
395 /*
396 ** Open math library
397 */
399  luaL_newlib(L, mathlib);
400  lua_pushnumber(L, PI);
401  lua_setfield(L, -2, "pi");
402  lua_pushnumber(L, (lua_Number)HUGE_VAL);
403  lua_setfield(L, -2, "huge");
404  lua_pushinteger(L, LUA_MAXINTEGER);
405  lua_setfield(L, -2, "maxinteger");
406  lua_pushinteger(L, LUA_MININTEGER);
407  lua_setfield(L, -2, "mininteger");
408  return 1;
409 }
410 
static int math_abs(lua_State *L)
Definition: lmathlib.cpp:39
#define lua_isnoneornil(L, n)
Definition: lua.h:359
static int math_asin(lua_State *L)
Definition: lmathlib.cpp:65
#define L_RANDMAX
Definition: lmathlib.cpp:34
static int math_randomseed(lua_State *L)
Definition: lmathlib.cpp:277
static int math_tan(lua_State *L)
Definition: lmathlib.cpp:60
LUALIB_API lua_Number luaL_checknumber(lua_State *L, int arg)
Definition: lauxlib.cpp:408
LUA_API void lua_settop(lua_State *L, int idx)
Definition: lapi.cpp:172
LUA_API int lua_type(lua_State *L, int idx)
Definition: lapi.cpp:251
static int math_ult(lua_State *L)
Definition: lmathlib.cpp:172
LUA_API void lua_pushboolean(lua_State *L, int b)
Definition: lapi.cpp:556
static int math_max(lua_State *L)
Definition: lmathlib.cpp:229
#define PI
Definition: lmathlib.cpp:23
#define a
LUA_API int lua_gettop(lua_State *L)
Definition: lapi.cpp:167
LUAMOD_API int luaopen_math(lua_State *L)
Definition: lmathlib.cpp:398
#define lua_tointeger(L, i)
Definition: lua.h:342
static int math_exp(lua_State *L)
Definition: lmathlib.cpp:199
#define d
static int math_random(lua_State *L)
Definition: lmathlib.cpp:247
#define LUA_OPLT
Definition: lua.h:214
#define b
static int math_modf(lua_State *L)
Definition: lmathlib.cpp:149
LUA_INTEGER lua_Integer
Definition: lua.h:93
LUA_API int lua_compare(lua_State *L, int index1, int index2, int op)
Definition: lapi.cpp:318
static const luaL_Reg mathlib[]
Definition: lmathlib.cpp:352
#define lua_numbertointeger(n, p)
Definition: luaconf.h:447
static int math_min(lua_State *L)
Definition: lmathlib.cpp:215
#define LUA_TNUMBER
Definition: lua.h:67
static int math_type(lua_State *L)
Definition: lmathlib.cpp:284
static int math_cos(lua_State *L)
Definition: lmathlib.cpp:55
static int math_floor(lua_State *L)
Definition: lmathlib.cpp:105
static int math_log(lua_State *L)
Definition: lmathlib.cpp:179
static int math_toint(lua_State *L)
Definition: lmathlib.cpp:83
LUA_API void lua_pushnil(lua_State *L)
Definition: lapi.cpp:450
LUA_API void lua_pushnumber(lua_State *L, lua_Number n)
Definition: lapi.cpp:458
#define lua_pushliteral(L, s)
Definition: lua.h:361
LUA_API lua_Integer lua_tointegerx(lua_State *L, int idx, int *pisnum)
Definition: lapi.cpp:356
static int math_deg(lua_State *L)
Definition: lmathlib.cpp:204
LUALIB_API lua_Integer luaL_checkinteger(lua_State *L, int arg)
Definition: lauxlib.cpp:430
#define LUAMOD_API
Definition: luaconf.h:261
size_t i
Definition: function.cpp:933
LUA_API void lua_pushvalue(lua_State *L, int idx)
Definition: lapi.cpp:237
LUA_API int lua_isinteger(lua_State *L, int idx)
Definition: lapi.cpp:270
#define luaL_newlib(L, l)
Definition: lauxlib.h:119
#define l_mathop(op)
Definition: luaconf.h:497
LUA_UNSIGNED lua_Unsigned
Definition: lua.h:96
LUALIB_API int luaL_error(lua_State *L, const char *fmt,...)
Definition: lauxlib.cpp:223
#define luaL_argcheck(L, cond, arg, extramsg)
Definition: lauxlib.h:122
LUALIB_API void luaL_checkany(lua_State *L, int arg)
Definition: lauxlib.cpp:384
static int math_ceil(lua_State *L)
Definition: lmathlib.cpp:116
#define l_srand(x)
Definition: lmathlib.cpp:33
static int math_fmod(lua_State *L)
Definition: lmathlib.cpp:127
static void pushnumint(lua_State *L, lua_Number d)
Definition: lmathlib.cpp:96
static int math_acos(lua_State *L)
Definition: lmathlib.cpp:70
static int math_rad(lua_State *L)
Definition: lmathlib.cpp:209
#define e
static int math_sqrt(lua_State *L)
Definition: lmathlib.cpp:166
#define l_rand()
Definition: lmathlib.cpp:32
static map_location::DIRECTION n
LUA_API void lua_pushinteger(lua_State *L, lua_Integer n)
Definition: lapi.cpp:466
static int math_atan(lua_State *L)
Definition: lmathlib.cpp:75
LUA_NUMBER lua_Number
Definition: lua.h:89
LUA_API void lua_setfield(lua_State *L, int idx, const char *k)
Definition: lapi.cpp:776
LUALIB_API lua_Number luaL_optnumber(lua_State *L, int arg, lua_Number def)
Definition: lauxlib.cpp:417
static int math_sin(lua_State *L)
Definition: lmathlib.cpp:50