** See Copyright Notice in lua.h
*/
-
#include <stdlib.h>
#include <math.h>
#include "lauxlib.h"
#include "lualib.h"
+/* 'luai_vectpow()' as a replacement for 'cpow()'. Defined in the header; we
+ * don't intrude the code libs internal functions.
+ */
+#ifdef LNUM_COMPLEX
+# include "lnum.h"
+#endif
#undef PI
-#define PI (3.14159265358979323846)
-#define RADIANS_PER_DEGREE (PI/180.0)
-
-
+#ifdef LNUM_FLOAT
+# define PI (3.14159265358979323846F)
+#elif defined(M_PI)
+# define PI M_PI
+#else
+# define PI (3.14159265358979323846264338327950288)
+#endif
+#define RADIANS_PER_DEGREE (PI/180)
+
+#undef HUGE
+#ifdef LNUM_FLOAT
+# define HUGE HUGE_VALF
+#elif defined(LNUM_LDOUBLE)
+# define HUGE HUGE_VALL
+#else
+# define HUGE HUGE_VAL
+#endif
static int math_abs (lua_State *L) {
- lua_pushnumber(L, fabs(luaL_checknumber(L, 1)));
+#ifdef LNUM_COMPLEX
+ lua_pushnumber(L, _LF(cabs) (luaL_checkcomplex(L,1)));
+#else
+ lua_pushnumber(L, _LF(fabs) (luaL_checknumber(L, 1)));
+#endif
return 1;
}
static int math_sin (lua_State *L) {
- lua_pushnumber(L, sin(luaL_checknumber(L, 1)));
+#ifdef LNUM_COMPLEX
+ lua_pushcomplex(L, _LF(csin) (luaL_checkcomplex(L,1)));
+#else
+ lua_pushnumber(L, _LF(sin) (luaL_checknumber(L, 1)));
+#endif
return 1;
}
static int math_sinh (lua_State *L) {
- lua_pushnumber(L, sinh(luaL_checknumber(L, 1)));
+#ifdef LNUM_COMPLEX
+ lua_pushcomplex(L, _LF(csinh) (luaL_checkcomplex(L,1)));
+#else
+ lua_pushnumber(L, _LF(sinh) (luaL_checknumber(L, 1)));
+#endif
return 1;
}
static int math_cos (lua_State *L) {
- lua_pushnumber(L, cos(luaL_checknumber(L, 1)));
+#ifdef LNUM_COMPLEX
+ lua_pushcomplex(L, _LF(ccos) (luaL_checkcomplex(L,1)));
+#else
+ lua_pushnumber(L, _LF(cos) (luaL_checknumber(L, 1)));
+#endif
return 1;
}
static int math_cosh (lua_State *L) {
- lua_pushnumber(L, cosh(luaL_checknumber(L, 1)));
+#ifdef LNUM_COMPLEX
+ lua_pushcomplex(L, _LF(ccosh) (luaL_checkcomplex(L,1)));
+#else
+ lua_pushnumber(L, _LF(cosh) (luaL_checknumber(L, 1)));
+#endif
return 1;
}
static int math_tan (lua_State *L) {
- lua_pushnumber(L, tan(luaL_checknumber(L, 1)));
+#ifdef LNUM_COMPLEX
+ lua_pushcomplex(L, _LF(ctan) (luaL_checkcomplex(L,1)));
+#else
+ lua_pushnumber(L, _LF(tan) (luaL_checknumber(L, 1)));
+#endif
return 1;
}
static int math_tanh (lua_State *L) {
- lua_pushnumber(L, tanh(luaL_checknumber(L, 1)));
+#ifdef LNUM_COMPLEX
+ lua_pushcomplex(L, _LF(ctanh) (luaL_checkcomplex(L,1)));
+#else
+ lua_pushnumber(L, _LF(tanh) (luaL_checknumber(L, 1)));
+#endif
return 1;
}
static int math_asin (lua_State *L) {
- lua_pushnumber(L, asin(luaL_checknumber(L, 1)));
+#ifdef LNUM_COMPLEX
+ lua_pushcomplex(L, _LF(casin) (luaL_checkcomplex(L,1)));
+#else
+ lua_pushnumber(L, _LF(asin) (luaL_checknumber(L, 1)));
+#endif
return 1;
}
static int math_acos (lua_State *L) {
- lua_pushnumber(L, acos(luaL_checknumber(L, 1)));
+#ifdef LNUM_COMPLEX
+ lua_pushcomplex(L, _LF(cacos) (luaL_checkcomplex(L,1)));
+#else
+ lua_pushnumber(L, _LF(acos) (luaL_checknumber(L, 1)));
+#endif
return 1;
}
static int math_atan (lua_State *L) {
- lua_pushnumber(L, atan(luaL_checknumber(L, 1)));
+#ifdef LNUM_COMPLEX
+ lua_pushcomplex(L, _LF(catan) (luaL_checkcomplex(L,1)));
+#else
+ lua_pushnumber(L, _LF(atan) (luaL_checknumber(L, 1)));
+#endif
return 1;
}
static int math_atan2 (lua_State *L) {
- lua_pushnumber(L, atan2(luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
+ /* scalars only */
+ lua_pushnumber(L, _LF(atan2) (luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
return 1;
}
static int math_ceil (lua_State *L) {
- lua_pushnumber(L, ceil(luaL_checknumber(L, 1)));
+#ifdef LNUM_COMPLEX
+ lua_Complex v= luaL_checkcomplex(L, 1);
+ lua_pushcomplex(L, _LF(ceil) (_LF(creal)(v)) + _LF(ceil) (_LF(cimag)(v))*I);
+#else
+ lua_pushnumber(L, _LF(ceil) (luaL_checknumber(L, 1)));
+#endif
return 1;
}
static int math_floor (lua_State *L) {
- lua_pushnumber(L, floor(luaL_checknumber(L, 1)));
+#ifdef LNUM_COMPLEX
+ lua_Complex v= luaL_checkcomplex(L, 1);
+ lua_pushcomplex(L, _LF(floor) (_LF(creal)(v)) + _LF(floor) (_LF(cimag)(v))*I);
+#else
+ lua_pushnumber(L, _LF(floor) (luaL_checknumber(L, 1)));
+#endif
return 1;
}
-static int math_fmod (lua_State *L) {
- lua_pushnumber(L, fmod(luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
+static int math_fmod (lua_State *L) {
+ /* scalars only */
+ lua_pushnumber(L, _LF(fmod) (luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
return 1;
}
static int math_modf (lua_State *L) {
- double ip;
- double fp = modf(luaL_checknumber(L, 1), &ip);
+ /* scalars only */
+ lua_Number ip;
+ lua_Number fp = _LF(modf) (luaL_checknumber(L, 1), &ip);
lua_pushnumber(L, ip);
lua_pushnumber(L, fp);
return 2;
}
static int math_sqrt (lua_State *L) {
- lua_pushnumber(L, sqrt(luaL_checknumber(L, 1)));
+#ifdef LNUM_COMPLEX
+ lua_pushcomplex(L, _LF(csqrt) (luaL_checkcomplex(L,1)));
+#else
+ lua_pushnumber(L, _LF(sqrt) (luaL_checknumber(L, 1)));
+#endif
return 1;
}
static int math_pow (lua_State *L) {
- lua_pushnumber(L, pow(luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
+#ifdef LNUM_COMPLEX
+ /* C99 'cpow' gives somewhat inaccurate results (i.e. (-1)^2 = -1+1.2246467991474e-16i).
+ * 'luai_vectpow' smoothens such, reusing it is the reason we need to #include "lnum.h".
+ */
+ lua_pushcomplex(L, luai_vectpow(luaL_checkcomplex(L,1), luaL_checkcomplex(L,2)));
+#else
+ lua_pushnumber(L, _LF(pow) (luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
+#endif
return 1;
}
static int math_log (lua_State *L) {
- lua_pushnumber(L, log(luaL_checknumber(L, 1)));
+#ifdef LNUM_COMPLEX
+ lua_pushcomplex(L, _LF(clog) (luaL_checkcomplex(L,1)));
+#else
+ lua_pushnumber(L, _LF(log) (luaL_checknumber(L, 1)));
+#endif
return 1;
}
static int math_log10 (lua_State *L) {
- lua_pushnumber(L, log10(luaL_checknumber(L, 1)));
+#ifdef LNUM_COMPLEX
+ /* Not in standard <complex.h> , but easy to calculate: log_a(x) = log_b(x) / log_b(a)
+ */
+ lua_pushcomplex(L, _LF(clog) (luaL_checkcomplex(L,1)) / _LF(log) (10));
+#else
+ lua_pushnumber(L, _LF(log10) (luaL_checknumber(L, 1)));
+#endif
return 1;
}
static int math_exp (lua_State *L) {
- lua_pushnumber(L, exp(luaL_checknumber(L, 1)));
+#ifdef LNUM_COMPLEX
+ lua_pushcomplex(L, _LF(cexp) (luaL_checkcomplex(L,1)));
+#else
+ lua_pushnumber(L, _LF(exp) (luaL_checknumber(L, 1)));
+#endif
return 1;
}
static int math_frexp (lua_State *L) {
int e;
- lua_pushnumber(L, frexp(luaL_checknumber(L, 1), &e));
+ lua_pushnumber(L, _LF(frexp) (luaL_checknumber(L, 1), &e));
lua_pushinteger(L, e);
return 2;
}
static int math_ldexp (lua_State *L) {
- lua_pushnumber(L, ldexp(luaL_checknumber(L, 1), luaL_checkint(L, 2)));
+ lua_pushnumber(L, _LF(ldexp) (luaL_checknumber(L, 1), luaL_checkint(L, 2)));
return 1;
}
static int math_min (lua_State *L) {
+ /* scalars only */
int n = lua_gettop(L); /* number of arguments */
lua_Number dmin = luaL_checknumber(L, 1);
int i;
static int math_max (lua_State *L) {
+ /* scalars only */
int n = lua_gettop(L); /* number of arguments */
lua_Number dmax = luaL_checknumber(L, 1);
int i;
/* 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;
- switch (lua_gettop(L)) { /* check number of arguments */
- case 0: { /* no arguments */
- lua_pushnumber(L, r); /* Number between 0 and 1 */
- break;
- }
- case 1: { /* only upper limit */
- int u = luaL_checkint(L, 1);
- luaL_argcheck(L, 1<=u, 1, "interval is empty");
- lua_pushnumber(L, floor(r*u)+1); /* int between 1 and `u' */
- break;
- }
- case 2: { /* lower and upper limits */
- int l = luaL_checkint(L, 1);
- int u = luaL_checkint(L, 2);
- luaL_argcheck(L, l<=u, 2, "interval is empty");
- lua_pushnumber(L, floor(r*(u-l+1))+l); /* int between `l' and `u' */
- break;
- }
- default: return luaL_error(L, "wrong number of arguments");
+ int n= lua_gettop(L); /* number of arguments */
+ if (n==0) { /* no arguments: range [0,1) */
+ lua_pushnumber(L, r);
+ } else if (n<=2) { /* int range [1,u] or [l,u] */
+ int l= n==1 ? 1 : luaL_checkint(L, 1);
+ int u = luaL_checkint(L, n);
+ int tmp;
+ lua_Number d;
+ luaL_argcheck(L, l<=u, n, "interval is empty");
+ d= _LF(floor)(r*(u-l+1));
+ lua_number2int(tmp,d);
+ lua_pushinteger(L, l+tmp);
+ } else {
+ return luaL_error(L, "wrong number of arguments");
}
return 1;
}
return 0;
}
+/*
+* Lua 5.1 does not have acosh, asinh, atanh for scalars (not ANSI C)
+*/
+#if __STDC_VERSION__ >= 199901L
+static int math_acosh (lua_State *L) {
+# ifdef LNUM_COMPLEX
+ lua_pushcomplex(L, _LF(cacosh) (luaL_checkcomplex(L,1)));
+# else
+ lua_pushnumber(L, _LF(acosh) (luaL_checknumber(L,1)));
+# endif
+ return 1;
+}
+static int math_asinh (lua_State *L) {
+# ifdef LNUM_COMPLEX
+ lua_pushcomplex(L, _LF(casinh) (luaL_checkcomplex(L,1)));
+# else
+ lua_pushnumber(L, _LF(asinh) (luaL_checknumber(L,1)));
+# endif
+ return 1;
+}
+static int math_atanh (lua_State *L) {
+# ifdef LNUM_COMPLEX
+ lua_pushcomplex(L, _LF(catanh) (luaL_checkcomplex(L,1)));
+# else
+ lua_pushnumber(L, _LF(atanh) (luaL_checknumber(L,1)));
+# endif
+ return 1;
+}
+#endif
+
+/*
+ * C99 complex functions, not covered above.
+*/
+#ifdef LNUM_COMPLEX
+static int math_arg (lua_State *L) {
+ lua_pushnumber(L, _LF(carg) (luaL_checkcomplex(L,1)));
+ return 1;
+}
+
+static int math_imag (lua_State *L) {
+ lua_pushnumber(L, _LF(cimag) (luaL_checkcomplex(L,1)));
+ return 1;
+}
+
+static int math_real (lua_State *L) {
+ lua_pushnumber(L, _LF(creal) (luaL_checkcomplex(L,1)));
+ return 1;
+}
+
+static int math_conj (lua_State *L) {
+ lua_pushcomplex(L, _LF(conj) (luaL_checkcomplex(L,1)));
+ return 1;
+}
+
+static int math_proj (lua_State *L) {
+ lua_pushcomplex(L, _LF(cproj) (luaL_checkcomplex(L,1)));
+ return 1;
+}
+#endif
+
static const luaL_Reg mathlib[] = {
{"abs", math_abs},
{"sqrt", math_sqrt},
{"tanh", math_tanh},
{"tan", math_tan},
+#if __STDC_VERSION__ >= 199901L
+ {"acosh", math_acosh},
+ {"asinh", math_asinh},
+ {"atanh", math_atanh},
+#endif
+#ifdef LNUM_COMPLEX
+ {"arg", math_arg},
+ {"imag", math_imag},
+ {"real", math_real},
+ {"conj", math_conj},
+ {"proj", math_proj},
+#endif
{NULL, NULL}
};
luaL_register(L, LUA_MATHLIBNAME, mathlib);
lua_pushnumber(L, PI);
lua_setfield(L, -2, "pi");
- lua_pushnumber(L, HUGE_VAL);
+ lua_pushnumber(L, HUGE);
lua_setfield(L, -2, "huge");
+ lua_pushinteger(L, LUA_INTEGER_MAX );
+ lua_setfield(L, -2, "hugeint");
#if defined(LUA_COMPAT_MOD)
lua_getfield(L, -1, "fmod");
lua_setfield(L, -2, "mod");
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