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-rw-r--r--source/luametatex/source/luacore/lua54/src/lmathlib.c764
1 files changed, 764 insertions, 0 deletions
diff --git a/source/luametatex/source/luacore/lua54/src/lmathlib.c b/source/luametatex/source/luacore/lua54/src/lmathlib.c
new file mode 100644
index 000000000..e0c61a168
--- /dev/null
+++ b/source/luametatex/source/luacore/lua54/src/lmathlib.c
@@ -0,0 +1,764 @@
+/*
+** $Id: lmathlib.c $
+** Standard mathematical library
+** See Copyright Notice in lua.h
+*/
+
+#define lmathlib_c
+#define LUA_LIB
+
+#include "lprefix.h"
+
+
+#include <float.h>
+#include <limits.h>
+#include <math.h>
+#include <stdlib.h>
+#include <time.h>
+
+#include "lua.h"
+
+#include "lauxlib.h"
+#include "lualib.h"
+
+
+#undef PI
+#define PI (l_mathop(3.141592653589793238462643383279502884))
+
+
+static int math_abs (lua_State *L) {
+ 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;
+}
+
+static int math_sin (lua_State *L) {
+ lua_pushnumber(L, l_mathop(sin)(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_tan (lua_State *L) {
+ lua_pushnumber(L, l_mathop(tan)(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;
+}
+
+static int math_acos (lua_State *L) {
+ lua_pushnumber(L, l_mathop(acos)(luaL_checknumber(L, 1)));
+ return 1;
+}
+
+static int math_atan (lua_State *L) {
+ 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_toint (lua_State *L) {
+ int valid;
+ lua_Integer n = lua_tointegerx(L, 1, &valid);
+ if (l_likely(valid))
+ lua_pushinteger(L, n);
+ else {
+ luaL_checkany(L, 1);
+ luaL_pushfail(L); /* value is not convertible to integer */
+ }
+ 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) {
+ 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) {
+ 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) {
+ 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_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;
+}
+
+static int math_log (lua_State *L) {
+ lua_Number x = luaL_checknumber(L, 1);
+ lua_Number res;
+ if (lua_isnoneornil(L, 2))
+ res = l_mathop(log)(x);
+ else {
+ lua_Number base = luaL_checknumber(L, 2);
+#if !defined(LUA_USE_C89)
+ if (base == l_mathop(2.0))
+ res = l_mathop(log2)(x);
+ else
+#endif
+ if (base == l_mathop(10.0))
+ res = l_mathop(log10)(x);
+ else
+ res = l_mathop(log)(x)/l_mathop(log)(base);
+ }
+ lua_pushnumber(L, res);
+ return 1;
+}
+
+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) * (l_mathop(180.0) / PI));
+ return 1;
+}
+
+static int math_rad (lua_State *L) {
+ 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 */
+ int imin = 1; /* index of current minimum value */
+ int i;
+ 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_pushvalue(L, imin);
+ return 1;
+}
+
+
+static int math_max (lua_State *L) {
+ int n = lua_gettop(L); /* number of arguments */
+ int imax = 1; /* index of current maximum value */
+ int i;
+ 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_pushvalue(L, imax);
+ return 1;
+}
+
+
+static int math_type (lua_State *L) {
+ if (lua_type(L, 1) == LUA_TNUMBER)
+ lua_pushstring(L, (lua_isinteger(L, 1)) ? "integer" : "float");
+ else {
+ luaL_checkany(L, 1);
+ luaL_pushfail(L);
+ }
+ return 1;
+}
+
+
+
+/*
+** {==================================================================
+** Pseudo-Random Number Generator based on 'xoshiro256**'.
+** ===================================================================
+*/
+
+/* number of binary digits in the mantissa of a float */
+#define FIGS l_floatatt(MANT_DIG)
+
+#if FIGS > 64
+/* there are only 64 random bits; use them all */
+#undef FIGS
+#define FIGS 64
+#endif
+
+
+/*
+** LUA_RAND32 forces the use of 32-bit integers in the implementation
+** of the PRN generator (mainly for testing).
+*/
+#if !defined(LUA_RAND32) && !defined(Rand64)
+
+/* try to find an integer type with at least 64 bits */
+
+#if (ULONG_MAX >> 31 >> 31) >= 3
+
+/* 'long' has at least 64 bits */
+#define Rand64 unsigned long
+
+#elif !defined(LUA_USE_C89) && defined(LLONG_MAX)
+
+/* there is a 'long long' type (which must have at least 64 bits) */
+#define Rand64 unsigned long long
+
+#elif (LUA_MAXUNSIGNED >> 31 >> 31) >= 3
+
+/* 'lua_Integer' has at least 64 bits */
+#define Rand64 lua_Unsigned
+
+#endif
+
+#endif
+
+
+#if defined(Rand64) /* { */
+
+/*
+** Standard implementation, using 64-bit integers.
+** If 'Rand64' has more than 64 bits, the extra bits do not interfere
+** with the 64 initial bits, except in a right shift. Moreover, the
+** final result has to discard the extra bits.
+*/
+
+/* avoid using extra bits when needed */
+#define trim64(x) ((x) & 0xffffffffffffffffu)
+
+
+/* rotate left 'x' by 'n' bits */
+static Rand64 rotl (Rand64 x, int n) {
+ return (x << n) | (trim64(x) >> (64 - n));
+}
+
+static Rand64 nextrand (Rand64 *state) {
+ Rand64 state0 = state[0];
+ Rand64 state1 = state[1];
+ Rand64 state2 = state[2] ^ state0;
+ Rand64 state3 = state[3] ^ state1;
+ Rand64 res = rotl(state1 * 5, 7) * 9;
+ state[0] = state0 ^ state3;
+ state[1] = state1 ^ state2;
+ state[2] = state2 ^ (state1 << 17);
+ state[3] = rotl(state3, 45);
+ return res;
+}
+
+
+/* must take care to not shift stuff by more than 63 slots */
+
+
+/*
+** Convert bits from a random integer into a float in the
+** interval [0,1), getting the higher FIG bits from the
+** random unsigned integer and converting that to a float.
+*/
+
+/* must throw out the extra (64 - FIGS) bits */
+#define shift64_FIG (64 - FIGS)
+
+/* to scale to [0, 1), multiply by scaleFIG = 2^(-FIGS) */
+#define scaleFIG (l_mathop(0.5) / ((Rand64)1 << (FIGS - 1)))
+
+static lua_Number I2d (Rand64 x) {
+ return (lua_Number)(trim64(x) >> shift64_FIG) * scaleFIG;
+}
+
+/* convert a 'Rand64' to a 'lua_Unsigned' */
+#define I2UInt(x) ((lua_Unsigned)trim64(x))
+
+/* convert a 'lua_Unsigned' to a 'Rand64' */
+#define Int2I(x) ((Rand64)(x))
+
+
+#else /* no 'Rand64' }{ */
+
+/* get an integer with at least 32 bits */
+#if LUAI_IS32INT
+typedef unsigned int lu_int32;
+#else
+typedef unsigned long lu_int32;
+#endif
+
+
+/*
+** Use two 32-bit integers to represent a 64-bit quantity.
+*/
+typedef struct Rand64 {
+ lu_int32 h; /* higher half */
+ lu_int32 l; /* lower half */
+} Rand64;
+
+
+/*
+** If 'lu_int32' has more than 32 bits, the extra bits do not interfere
+** with the 32 initial bits, except in a right shift and comparisons.
+** Moreover, the final result has to discard the extra bits.
+*/
+
+/* avoid using extra bits when needed */
+#define trim32(x) ((x) & 0xffffffffu)
+
+
+/*
+** basic operations on 'Rand64' values
+*/
+
+/* build a new Rand64 value */
+static Rand64 packI (lu_int32 h, lu_int32 l) {
+ Rand64 result;
+ result.h = h;
+ result.l = l;
+ return result;
+}
+
+/* return i << n */
+static Rand64 Ishl (Rand64 i, int n) {
+ lua_assert(n > 0 && n < 32);
+ return packI((i.h << n) | (trim32(i.l) >> (32 - n)), i.l << n);
+}
+
+/* i1 ^= i2 */
+static void Ixor (Rand64 *i1, Rand64 i2) {
+ i1->h ^= i2.h;
+ i1->l ^= i2.l;
+}
+
+/* return i1 + i2 */
+static Rand64 Iadd (Rand64 i1, Rand64 i2) {
+ Rand64 result = packI(i1.h + i2.h, i1.l + i2.l);
+ if (trim32(result.l) < trim32(i1.l)) /* carry? */
+ result.h++;
+ return result;
+}
+
+/* return i * 5 */
+static Rand64 times5 (Rand64 i) {
+ return Iadd(Ishl(i, 2), i); /* i * 5 == (i << 2) + i */
+}
+
+/* return i * 9 */
+static Rand64 times9 (Rand64 i) {
+ return Iadd(Ishl(i, 3), i); /* i * 9 == (i << 3) + i */
+}
+
+/* return 'i' rotated left 'n' bits */
+static Rand64 rotl (Rand64 i, int n) {
+ lua_assert(n > 0 && n < 32);
+ return packI((i.h << n) | (trim32(i.l) >> (32 - n)),
+ (trim32(i.h) >> (32 - n)) | (i.l << n));
+}
+
+/* for offsets larger than 32, rotate right by 64 - offset */
+static Rand64 rotl1 (Rand64 i, int n) {
+ lua_assert(n > 32 && n < 64);
+ n = 64 - n;
+ return packI((trim32(i.h) >> n) | (i.l << (32 - n)),
+ (i.h << (32 - n)) | (trim32(i.l) >> n));
+}
+
+/*
+** implementation of 'xoshiro256**' algorithm on 'Rand64' values
+*/
+static Rand64 nextrand (Rand64 *state) {
+ Rand64 res = times9(rotl(times5(state[1]), 7));
+ Rand64 t = Ishl(state[1], 17);
+ Ixor(&state[2], state[0]);
+ Ixor(&state[3], state[1]);
+ Ixor(&state[1], state[2]);
+ Ixor(&state[0], state[3]);
+ Ixor(&state[2], t);
+ state[3] = rotl1(state[3], 45);
+ return res;
+}
+
+
+/*
+** Converts a 'Rand64' into a float.
+*/
+
+/* an unsigned 1 with proper type */
+#define UONE ((lu_int32)1)
+
+
+#if FIGS <= 32
+
+/* 2^(-FIGS) */
+#define scaleFIG (l_mathop(0.5) / (UONE << (FIGS - 1)))
+
+/*
+** get up to 32 bits from higher half, shifting right to
+** throw out the extra bits.
+*/
+static lua_Number I2d (Rand64 x) {
+ lua_Number h = (lua_Number)(trim32(x.h) >> (32 - FIGS));
+ return h * scaleFIG;
+}
+
+#else /* 32 < FIGS <= 64 */
+
+/* must take care to not shift stuff by more than 31 slots */
+
+/* 2^(-FIGS) = 1.0 / 2^30 / 2^3 / 2^(FIGS-33) */
+#define scaleFIG \
+ (l_mathop(1.0) / (UONE << 30) / l_mathop(8.0) / (UONE << (FIGS - 33)))
+
+/*
+** use FIGS - 32 bits from lower half, throwing out the other
+** (32 - (FIGS - 32)) = (64 - FIGS) bits
+*/
+#define shiftLOW (64 - FIGS)
+
+/*
+** higher 32 bits go after those (FIGS - 32) bits: shiftHI = 2^(FIGS - 32)
+*/
+#define shiftHI ((lua_Number)(UONE << (FIGS - 33)) * l_mathop(2.0))
+
+
+static lua_Number I2d (Rand64 x) {
+ lua_Number h = (lua_Number)trim32(x.h) * shiftHI;
+ lua_Number l = (lua_Number)(trim32(x.l) >> shiftLOW);
+ return (h + l) * scaleFIG;
+}
+
+#endif
+
+
+/* convert a 'Rand64' to a 'lua_Unsigned' */
+static lua_Unsigned I2UInt (Rand64 x) {
+ return ((lua_Unsigned)trim32(x.h) << 31 << 1) | (lua_Unsigned)trim32(x.l);
+}
+
+/* convert a 'lua_Unsigned' to a 'Rand64' */
+static Rand64 Int2I (lua_Unsigned n) {
+ return packI((lu_int32)(n >> 31 >> 1), (lu_int32)n);
+}
+
+#endif /* } */
+
+
+/*
+** A state uses four 'Rand64' values.
+*/
+typedef struct {
+ Rand64 s[4];
+} RanState;
+
+
+/*
+** Project the random integer 'ran' into the interval [0, n].
+** Because 'ran' has 2^B possible values, the projection can only be
+** uniform when the size of the interval is a power of 2 (exact
+** division). Otherwise, to get a uniform projection into [0, n], we
+** first compute 'lim', the smallest Mersenne number not smaller than
+** 'n'. We then project 'ran' into the interval [0, lim]. If the result
+** is inside [0, n], we are done. Otherwise, we try with another 'ran',
+** until we have a result inside the interval.
+*/
+static lua_Unsigned project (lua_Unsigned ran, lua_Unsigned n,
+ RanState *state) {
+ if ((n & (n + 1)) == 0) /* is 'n + 1' a power of 2? */
+ return ran & n; /* no bias */
+ else {
+ lua_Unsigned lim = n;
+ /* compute the smallest (2^b - 1) not smaller than 'n' */
+ lim |= (lim >> 1);
+ lim |= (lim >> 2);
+ lim |= (lim >> 4);
+ lim |= (lim >> 8);
+ lim |= (lim >> 16);
+#if (LUA_MAXUNSIGNED >> 31) >= 3
+ lim |= (lim >> 32); /* integer type has more than 32 bits */
+#endif
+ lua_assert((lim & (lim + 1)) == 0 /* 'lim + 1' is a power of 2, */
+ && lim >= n /* not smaller than 'n', */
+ && (lim >> 1) < n); /* and it is the smallest one */
+ while ((ran &= lim) > n) /* project 'ran' into [0..lim] */
+ ran = I2UInt(nextrand(state->s)); /* not inside [0..n]? try again */
+ return ran;
+ }
+}
+
+
+static int math_random (lua_State *L) {
+ lua_Integer low, up;
+ lua_Unsigned p;
+ RanState *state = (RanState *)lua_touserdata(L, lua_upvalueindex(1));
+ Rand64 rv = nextrand(state->s); /* next pseudo-random value */
+ switch (lua_gettop(L)) { /* check number of arguments */
+ case 0: { /* no arguments */
+ lua_pushnumber(L, I2d(rv)); /* float between 0 and 1 */
+ return 1;
+ }
+ case 1: { /* only upper limit */
+ low = 1;
+ up = luaL_checkinteger(L, 1);
+ if (up == 0) { /* single 0 as argument? */
+ lua_pushinteger(L, I2UInt(rv)); /* full random integer */
+ return 1;
+ }
+ break;
+ }
+ case 2: { /* lower and upper limits */
+ 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");
+ /* project random integer into the interval [0, up - low] */
+ p = project(I2UInt(rv), (lua_Unsigned)up - (lua_Unsigned)low, state);
+ lua_pushinteger(L, p + (lua_Unsigned)low);
+ return 1;
+}
+
+
+static void setseed (lua_State *L, Rand64 *state,
+ lua_Unsigned n1, lua_Unsigned n2) {
+ int i;
+ state[0] = Int2I(n1);
+ state[1] = Int2I(0xff); /* avoid a zero state */
+ state[2] = Int2I(n2);
+ state[3] = Int2I(0);
+ for (i = 0; i < 16; i++)
+ nextrand(state); /* discard initial values to "spread" seed */
+ lua_pushinteger(L, n1);
+ lua_pushinteger(L, n2);
+}
+
+
+/*
+** Set a "random" seed. To get some randomness, use the current time
+** and the address of 'L' (in case the machine does address space layout
+** randomization).
+*/
+static void randseed (lua_State *L, RanState *state) {
+ lua_Unsigned seed1 = (lua_Unsigned)time(NULL);
+ lua_Unsigned seed2 = (lua_Unsigned)(size_t)L;
+ setseed(L, state->s, seed1, seed2);
+}
+
+
+static int math_randomseed (lua_State *L) {
+ RanState *state = (RanState *)lua_touserdata(L, lua_upvalueindex(1));
+ if (lua_isnone(L, 1)) {
+ randseed(L, state);
+ }
+ else {
+ lua_Integer n1 = luaL_checkinteger(L, 1);
+ lua_Integer n2 = luaL_optinteger(L, 2, 0);
+ setseed(L, state->s, n1, n2);
+ }
+ return 2; /* return seeds */
+}
+
+
+static const luaL_Reg randfuncs[] = {
+ {"random", math_random},
+ {"randomseed", math_randomseed},
+ {NULL, NULL}
+};
+
+
+/*
+** Register the random functions and initialize their state.
+*/
+static void setrandfunc (lua_State *L) {
+ RanState *state = (RanState *)lua_newuserdatauv(L, sizeof(RanState), 0);
+ randseed(L, state); /* initialize with a "random" seed */
+ lua_pop(L, 2); /* remove pushed seeds */
+ luaL_setfuncs(L, randfuncs, 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},
+ {"atan", math_atan},
+ {"ceil", math_ceil},
+ {"cos", math_cos},
+ {"deg", math_deg},
+ {"exp", math_exp},
+ {"tointeger", math_toint},
+ {"floor", math_floor},
+ {"fmod", math_fmod},
+ {"ult", math_ult},
+ {"log", math_log},
+ {"max", math_max},
+ {"min", math_min},
+ {"modf", math_modf},
+ {"rad", math_rad},
+ {"sin", math_sin},
+ {"sqrt", math_sqrt},
+ {"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 */
+ {"random", NULL},
+ {"randomseed", NULL},
+ {"pi", NULL},
+ {"huge", NULL},
+ {"maxinteger", NULL},
+ {"mininteger", NULL},
+ {NULL, NULL}
+};
+
+
+/*
+** Open math library
+*/
+LUAMOD_API int luaopen_math (lua_State *L) {
+ luaL_newlib(L, mathlib);
+ lua_pushnumber(L, PI);
+ lua_setfield(L, -2, "pi");
+ 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");
+ setrandfunc(L);
+ return 1;
+}
+