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-rw-r--r--lua/lmathlib.c336
1 files changed, 232 insertions, 104 deletions
diff --git a/lua/lmathlib.c b/lua/lmathlib.c
index fe9fc54..94815f1 100644
--- a/lua/lmathlib.c
+++ b/lua/lmathlib.c
@@ -1,16 +1,18 @@
/*
-** $Id: lmathlib.c,v 1.83.1.1 2013/04/12 18:48:47 roberto Exp $
+** $Id: lmathlib.c,v 1.117 2015/10/02 15:39:23 roberto Exp $
** Standard mathematical library
** See Copyright Notice in lua.h
*/
+#define lmathlib_c
+#define LUA_LIB
+
+#include "lprefix.h"
+
#include <stdlib.h>
#include <math.h>
-#define lmathlib_c
-#define LUA_LIB
-
#include "lua.h"
#include "lauxlib.h"
@@ -18,13 +20,30 @@
#undef PI
-#define PI ((lua_Number)(3.1415926535897932384626433832795))
-#define RADIANS_PER_DEGREE ((lua_Number)(PI/180.0))
-
+#define PI (l_mathop(3.141592653589793238462643383279502884))
+
+
+#if !defined(l_rand) /* { */
+#if defined(LUA_USE_POSIX)
+#define l_rand() random()
+#define l_srand(x) srandom(x)
+#define L_RANDMAX 2147483647 /* (2^31 - 1), following POSIX */
+#else
+#define l_rand() rand()
+#define l_srand(x) srand(x)
+#define L_RANDMAX RAND_MAX
+#endif
+#endif /* } */
static int math_abs (lua_State *L) {
- lua_pushnumber(L, l_mathop(fabs)(luaL_checknumber(L, 1)));
+ if (lua_isinteger(L, 1)) {
+ lua_Integer n = lua_tointeger(L, 1);
+ if (n < 0) n = (lua_Integer)(0u - (lua_Unsigned)n);
+ lua_pushinteger(L, n);
+ }
+ else
+ lua_pushnumber(L, l_mathop(fabs)(luaL_checknumber(L, 1)));
return 1;
}
@@ -33,31 +52,16 @@ static int math_sin (lua_State *L) {
return 1;
}
-static int math_sinh (lua_State *L) {
- lua_pushnumber(L, l_mathop(sinh)(luaL_checknumber(L, 1)));
- return 1;
-}
-
static int math_cos (lua_State *L) {
lua_pushnumber(L, l_mathop(cos)(luaL_checknumber(L, 1)));
return 1;
}
-static int math_cosh (lua_State *L) {
- lua_pushnumber(L, l_mathop(cosh)(luaL_checknumber(L, 1)));
- return 1;
-}
-
static int math_tan (lua_State *L) {
lua_pushnumber(L, l_mathop(tan)(luaL_checknumber(L, 1)));
return 1;
}
-static int math_tanh (lua_State *L) {
- lua_pushnumber(L, l_mathop(tanh)(luaL_checknumber(L, 1)));
- return 1;
-}
-
static int math_asin (lua_State *L) {
lua_pushnumber(L, l_mathop(asin)(luaL_checknumber(L, 1)));
return 1;
@@ -69,49 +73,106 @@ static int math_acos (lua_State *L) {
}
static int math_atan (lua_State *L) {
- lua_pushnumber(L, l_mathop(atan)(luaL_checknumber(L, 1)));
+ lua_Number y = luaL_checknumber(L, 1);
+ lua_Number x = luaL_optnumber(L, 2, 1);
+ lua_pushnumber(L, l_mathop(atan2)(y, x));
return 1;
}
-static int math_atan2 (lua_State *L) {
- lua_pushnumber(L, l_mathop(atan2)(luaL_checknumber(L, 1),
- luaL_checknumber(L, 2)));
+
+static int math_toint (lua_State *L) {
+ int valid;
+ lua_Integer n = lua_tointegerx(L, 1, &valid);
+ if (valid)
+ lua_pushinteger(L, n);
+ else {
+ luaL_checkany(L, 1);
+ lua_pushnil(L); /* value is not convertible to integer */
+ }
return 1;
}
-static int math_ceil (lua_State *L) {
- lua_pushnumber(L, l_mathop(ceil)(luaL_checknumber(L, 1)));
- return 1;
+
+static void pushnumint (lua_State *L, lua_Number d) {
+ lua_Integer n;
+ if (lua_numbertointeger(d, &n)) /* does 'd' fit in an integer? */
+ lua_pushinteger(L, n); /* result is integer */
+ else
+ lua_pushnumber(L, d); /* result is float */
}
+
static int math_floor (lua_State *L) {
- lua_pushnumber(L, l_mathop(floor)(luaL_checknumber(L, 1)));
+ if (lua_isinteger(L, 1))
+ lua_settop(L, 1); /* integer is its own floor */
+ else {
+ lua_Number d = l_mathop(floor)(luaL_checknumber(L, 1));
+ pushnumint(L, d);
+ }
+ return 1;
+}
+
+
+static int math_ceil (lua_State *L) {
+ if (lua_isinteger(L, 1))
+ lua_settop(L, 1); /* integer is its own ceil */
+ else {
+ lua_Number d = l_mathop(ceil)(luaL_checknumber(L, 1));
+ pushnumint(L, d);
+ }
return 1;
}
+
static int math_fmod (lua_State *L) {
- lua_pushnumber(L, l_mathop(fmod)(luaL_checknumber(L, 1),
- luaL_checknumber(L, 2)));
+ if (lua_isinteger(L, 1) && lua_isinteger(L, 2)) {
+ lua_Integer d = lua_tointeger(L, 2);
+ if ((lua_Unsigned)d + 1u <= 1u) { /* special cases: -1 or 0 */
+ luaL_argcheck(L, d != 0, 2, "zero");
+ lua_pushinteger(L, 0); /* avoid overflow with 0x80000... / -1 */
+ }
+ else
+ lua_pushinteger(L, lua_tointeger(L, 1) % d);
+ }
+ else
+ lua_pushnumber(L, l_mathop(fmod)(luaL_checknumber(L, 1),
+ luaL_checknumber(L, 2)));
return 1;
}
+
+/*
+** next function does not use 'modf', avoiding problems with 'double*'
+** (which is not compatible with 'float*') when lua_Number is not
+** 'double'.
+*/
static int math_modf (lua_State *L) {
- lua_Number ip;
- lua_Number fp = l_mathop(modf)(luaL_checknumber(L, 1), &ip);
- lua_pushnumber(L, ip);
- lua_pushnumber(L, fp);
+ if (lua_isinteger(L ,1)) {
+ lua_settop(L, 1); /* number is its own integer part */
+ lua_pushnumber(L, 0); /* no fractional part */
+ }
+ else {
+ lua_Number n = luaL_checknumber(L, 1);
+ /* integer part (rounds toward zero) */
+ lua_Number ip = (n < 0) ? l_mathop(ceil)(n) : l_mathop(floor)(n);
+ pushnumint(L, ip);
+ /* fractional part (test needed for inf/-inf) */
+ lua_pushnumber(L, (n == ip) ? l_mathop(0.0) : (n - ip));
+ }
return 2;
}
+
static int math_sqrt (lua_State *L) {
lua_pushnumber(L, l_mathop(sqrt)(luaL_checknumber(L, 1)));
return 1;
}
-static int math_pow (lua_State *L) {
- lua_Number x = luaL_checknumber(L, 1);
- lua_Number y = luaL_checknumber(L, 2);
- lua_pushnumber(L, l_mathop(pow)(x, y));
+
+static int math_ult (lua_State *L) {
+ lua_Integer a = luaL_checkinteger(L, 1);
+ lua_Integer b = luaL_checkinteger(L, 2);
+ lua_pushboolean(L, (lua_Unsigned)a < (lua_Unsigned)b);
return 1;
}
@@ -122,145 +183,208 @@ static int math_log (lua_State *L) {
res = l_mathop(log)(x);
else {
lua_Number base = luaL_checknumber(L, 2);
- if (base == (lua_Number)10.0) res = l_mathop(log10)(x);
+#if !defined(LUA_USE_C89)
+ if (base == 2.0) res = l_mathop(log2)(x); else
+#endif
+ if (base == 10.0) res = l_mathop(log10)(x);
else res = l_mathop(log)(x)/l_mathop(log)(base);
}
lua_pushnumber(L, res);
return 1;
}
-#if defined(LUA_COMPAT_LOG10)
-static int math_log10 (lua_State *L) {
- lua_pushnumber(L, l_mathop(log10)(luaL_checknumber(L, 1)));
- return 1;
-}
-#endif
-
static int math_exp (lua_State *L) {
lua_pushnumber(L, l_mathop(exp)(luaL_checknumber(L, 1)));
return 1;
}
static int math_deg (lua_State *L) {
- lua_pushnumber(L, luaL_checknumber(L, 1)/RADIANS_PER_DEGREE);
+ lua_pushnumber(L, luaL_checknumber(L, 1) * (l_mathop(180.0) / PI));
return 1;
}
static int math_rad (lua_State *L) {
- lua_pushnumber(L, luaL_checknumber(L, 1)*RADIANS_PER_DEGREE);
- return 1;
-}
-
-static int math_frexp (lua_State *L) {
- int e;
- lua_pushnumber(L, l_mathop(frexp)(luaL_checknumber(L, 1), &e));
- lua_pushinteger(L, e);
- return 2;
-}
-
-static int math_ldexp (lua_State *L) {
- lua_Number x = luaL_checknumber(L, 1);
- int ep = luaL_checkint(L, 2);
- lua_pushnumber(L, l_mathop(ldexp)(x, ep));
+ lua_pushnumber(L, luaL_checknumber(L, 1) * (PI / l_mathop(180.0)));
return 1;
}
-
static int math_min (lua_State *L) {
int n = lua_gettop(L); /* number of arguments */
- lua_Number dmin = luaL_checknumber(L, 1);
+ int imin = 1; /* index of current minimum value */
int i;
- for (i=2; i<=n; i++) {
- lua_Number d = luaL_checknumber(L, i);
- if (d < dmin)
- dmin = d;
+ luaL_argcheck(L, n >= 1, 1, "value expected");
+ for (i = 2; i <= n; i++) {
+ if (lua_compare(L, i, imin, LUA_OPLT))
+ imin = i;
}
- lua_pushnumber(L, dmin);
+ lua_pushvalue(L, imin);
return 1;
}
static int math_max (lua_State *L) {
int n = lua_gettop(L); /* number of arguments */
- lua_Number dmax = luaL_checknumber(L, 1);
+ int imax = 1; /* index of current maximum value */
int i;
- for (i=2; i<=n; i++) {
- lua_Number d = luaL_checknumber(L, i);
- if (d > dmax)
- dmax = d;
+ luaL_argcheck(L, n >= 1, 1, "value expected");
+ for (i = 2; i <= n; i++) {
+ if (lua_compare(L, imax, i, LUA_OPLT))
+ imax = i;
}
- lua_pushnumber(L, dmax);
+ lua_pushvalue(L, imax);
return 1;
}
-
+/*
+** This function uses 'double' (instead of 'lua_Number') to ensure that
+** all bits from 'l_rand' can be represented, and that 'RANDMAX + 1.0'
+** will keep full precision (ensuring that 'r' is always less than 1.0.)
+*/
static int math_random (lua_State *L) {
- /* the `%' avoids the (rare) case of r==1, and is needed also because on
- some systems (SunOS!) `rand()' may return a value larger than RAND_MAX */
- lua_Number r = (lua_Number)(rand()%RAND_MAX) / (lua_Number)RAND_MAX;
+ lua_Integer low, up;
+ double r = (double)l_rand() * (1.0 / ((double)L_RANDMAX + 1.0));
switch (lua_gettop(L)) { /* check number of arguments */
case 0: { /* no arguments */
- lua_pushnumber(L, r); /* Number between 0 and 1 */
- break;
+ lua_pushnumber(L, (lua_Number)r); /* Number between 0 and 1 */
+ return 1;
}
case 1: { /* only upper limit */
- lua_Number u = luaL_checknumber(L, 1);
- luaL_argcheck(L, (lua_Number)1.0 <= u, 1, "interval is empty");
- lua_pushnumber(L, l_mathop(floor)(r*u) + (lua_Number)(1.0)); /* [1, u] */
+ low = 1;
+ up = luaL_checkinteger(L, 1);
break;
}
case 2: { /* lower and upper limits */
- lua_Number l = luaL_checknumber(L, 1);
- lua_Number u = luaL_checknumber(L, 2);
- luaL_argcheck(L, l <= u, 2, "interval is empty");
- lua_pushnumber(L, l_mathop(floor)(r*(u-l+1)) + l); /* [l, u] */
+ low = luaL_checkinteger(L, 1);
+ up = luaL_checkinteger(L, 2);
break;
}
default: return luaL_error(L, "wrong number of arguments");
}
+ /* random integer in the interval [low, up] */
+ luaL_argcheck(L, low <= up, 1, "interval is empty");
+ luaL_argcheck(L, low >= 0 || up <= LUA_MAXINTEGER + low, 1,
+ "interval too large");
+ r *= (double)(up - low) + 1.0;
+ lua_pushinteger(L, (lua_Integer)r + low);
return 1;
}
static int math_randomseed (lua_State *L) {
- srand(luaL_checkunsigned(L, 1));
- (void)rand(); /* discard first value to avoid undesirable correlations */
+ l_srand((unsigned int)(lua_Integer)luaL_checknumber(L, 1));
+ (void)l_rand(); /* discard first value to avoid undesirable correlations */
return 0;
}
+static int math_type (lua_State *L) {
+ if (lua_type(L, 1) == LUA_TNUMBER) {
+ if (lua_isinteger(L, 1))
+ lua_pushliteral(L, "integer");
+ else
+ lua_pushliteral(L, "float");
+ }
+ else {
+ luaL_checkany(L, 1);
+ lua_pushnil(L);
+ }
+ return 1;
+}
+
+
+/*
+** {==================================================================
+** Deprecated functions (for compatibility only)
+** ===================================================================
+*/
+#if defined(LUA_COMPAT_MATHLIB)
+
+static int math_cosh (lua_State *L) {
+ lua_pushnumber(L, l_mathop(cosh)(luaL_checknumber(L, 1)));
+ return 1;
+}
+
+static int math_sinh (lua_State *L) {
+ lua_pushnumber(L, l_mathop(sinh)(luaL_checknumber(L, 1)));
+ return 1;
+}
+
+static int math_tanh (lua_State *L) {
+ lua_pushnumber(L, l_mathop(tanh)(luaL_checknumber(L, 1)));
+ return 1;
+}
+
+static int math_pow (lua_State *L) {
+ lua_Number x = luaL_checknumber(L, 1);
+ lua_Number y = luaL_checknumber(L, 2);
+ lua_pushnumber(L, l_mathop(pow)(x, y));
+ return 1;
+}
+
+static int math_frexp (lua_State *L) {
+ int e;
+ lua_pushnumber(L, l_mathop(frexp)(luaL_checknumber(L, 1), &e));
+ lua_pushinteger(L, e);
+ return 2;
+}
+
+static int math_ldexp (lua_State *L) {
+ lua_Number x = luaL_checknumber(L, 1);
+ int ep = (int)luaL_checkinteger(L, 2);
+ lua_pushnumber(L, l_mathop(ldexp)(x, ep));
+ return 1;
+}
+
+static int math_log10 (lua_State *L) {
+ lua_pushnumber(L, l_mathop(log10)(luaL_checknumber(L, 1)));
+ return 1;
+}
+
+#endif
+/* }================================================================== */
+
+
+
static const luaL_Reg mathlib[] = {
{"abs", math_abs},
{"acos", math_acos},
{"asin", math_asin},
- {"atan2", math_atan2},
{"atan", math_atan},
{"ceil", math_ceil},
- {"cosh", math_cosh},
{"cos", math_cos},
{"deg", math_deg},
{"exp", math_exp},
+ {"tointeger", math_toint},
{"floor", math_floor},
{"fmod", math_fmod},
- {"frexp", math_frexp},
- {"ldexp", math_ldexp},
-#if defined(LUA_COMPAT_LOG10)
- {"log10", math_log10},
-#endif
+ {"ult", math_ult},
{"log", math_log},
{"max", math_max},
{"min", math_min},
{"modf", math_modf},
- {"pow", math_pow},
{"rad", math_rad},
{"random", math_random},
{"randomseed", math_randomseed},
- {"sinh", math_sinh},
{"sin", math_sin},
{"sqrt", math_sqrt},
- {"tanh", math_tanh},
{"tan", math_tan},
+ {"type", math_type},
+#if defined(LUA_COMPAT_MATHLIB)
+ {"atan2", math_atan},
+ {"cosh", math_cosh},
+ {"sinh", math_sinh},
+ {"tanh", math_tanh},
+ {"pow", math_pow},
+ {"frexp", math_frexp},
+ {"ldexp", math_ldexp},
+ {"log10", math_log10},
+#endif
+ /* placeholders */
+ {"pi", NULL},
+ {"huge", NULL},
+ {"maxinteger", NULL},
+ {"mininteger", NULL},
{NULL, NULL}
};
@@ -272,8 +396,12 @@ LUAMOD_API int luaopen_math (lua_State *L) {
luaL_newlib(L, mathlib);
lua_pushnumber(L, PI);
lua_setfield(L, -2, "pi");
- lua_pushnumber(L, HUGE_VAL);
+ lua_pushnumber(L, (lua_Number)HUGE_VAL);
lua_setfield(L, -2, "huge");
+ lua_pushinteger(L, LUA_MAXINTEGER);
+ lua_setfield(L, -2, "maxinteger");
+ lua_pushinteger(L, LUA_MININTEGER);
+ lua_setfield(L, -2, "mininteger");
return 1;
}
generated by cgit v1.2.1 (git 2.18.0) at 2024-05-05 08:14:09 +0000