408 lines
9.6 KiB
C
408 lines
9.6 KiB
C
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/*
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** $Id: lmathlib.c,v 1.117 2015/10/02 15:39:23 roberto Exp $
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** Standard mathematical library
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** See Copyright Notice in lua.h
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*/
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#define lmathlib_c
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#define LUA_LIB
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#include "lprefix.h"
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#include <stdlib.h>
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#include <math.h>
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#include "lua.h"
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#include "lauxlib.h"
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#include "lualib.h"
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#undef PI
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#define PI (l_mathop(3.141592653589793238462643383279502884))
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#if !defined(l_rand) /* { */
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#if defined(LUA_USE_POSIX)
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#define l_rand() random()
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#define l_srand(x) srandom(x)
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#define L_RANDMAX 2147483647 /* (2^31 - 1), following POSIX */
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#else
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#define l_rand() rand()
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#define l_srand(x) srand(x)
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#define L_RANDMAX RAND_MAX
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#endif
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#endif /* } */
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static int math_abs (lua_State *L) {
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if (lua_isinteger(L, 1)) {
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lua_Integer n = lua_tointeger(L, 1);
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if (n < 0) n = (lua_Integer)(0u - (lua_Unsigned)n);
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lua_pushinteger(L, n);
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}
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else
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lua_pushnumber(L, l_mathop(fabs)(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_sin (lua_State *L) {
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lua_pushnumber(L, l_mathop(sin)(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_cos (lua_State *L) {
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lua_pushnumber(L, l_mathop(cos)(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_tan (lua_State *L) {
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lua_pushnumber(L, l_mathop(tan)(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_asin (lua_State *L) {
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lua_pushnumber(L, l_mathop(asin)(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_acos (lua_State *L) {
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lua_pushnumber(L, l_mathop(acos)(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_atan (lua_State *L) {
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lua_Number y = luaL_checknumber(L, 1);
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lua_Number x = luaL_optnumber(L, 2, 1);
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lua_pushnumber(L, l_mathop(atan2)(y, x));
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return 1;
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}
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static int math_toint (lua_State *L) {
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int valid;
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lua_Integer n = lua_tointegerx(L, 1, &valid);
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if (valid)
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lua_pushinteger(L, n);
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else {
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luaL_checkany(L, 1);
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lua_pushnil(L); /* value is not convertible to integer */
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}
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return 1;
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}
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static void pushnumint (lua_State *L, lua_Number d) {
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lua_Integer n;
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if (lua_numbertointeger(d, &n)) /* does 'd' fit in an integer? */
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lua_pushinteger(L, n); /* result is integer */
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else
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lua_pushnumber(L, d); /* result is float */
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}
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static int math_floor (lua_State *L) {
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if (lua_isinteger(L, 1))
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lua_settop(L, 1); /* integer is its own floor */
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else {
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lua_Number d = l_mathop(floor)(luaL_checknumber(L, 1));
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pushnumint(L, d);
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}
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return 1;
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}
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static int math_ceil (lua_State *L) {
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if (lua_isinteger(L, 1))
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lua_settop(L, 1); /* integer is its own ceil */
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else {
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lua_Number d = l_mathop(ceil)(luaL_checknumber(L, 1));
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pushnumint(L, d);
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}
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return 1;
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}
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static int math_fmod (lua_State *L) {
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if (lua_isinteger(L, 1) && lua_isinteger(L, 2)) {
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lua_Integer d = lua_tointeger(L, 2);
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if ((lua_Unsigned)d + 1u <= 1u) { /* special cases: -1 or 0 */
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luaL_argcheck(L, d != 0, 2, "zero");
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lua_pushinteger(L, 0); /* avoid overflow with 0x80000... / -1 */
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}
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else
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lua_pushinteger(L, lua_tointeger(L, 1) % d);
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}
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else
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lua_pushnumber(L, l_mathop(fmod)(luaL_checknumber(L, 1),
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luaL_checknumber(L, 2)));
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return 1;
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}
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/*
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** next function does not use 'modf', avoiding problems with 'double*'
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** (which is not compatible with 'float*') when lua_Number is not
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** 'double'.
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*/
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static int math_modf (lua_State *L) {
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if (lua_isinteger(L ,1)) {
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lua_settop(L, 1); /* number is its own integer part */
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lua_pushnumber(L, 0); /* no fractional part */
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}
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else {
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lua_Number n = luaL_checknumber(L, 1);
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/* integer part (rounds toward zero) */
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lua_Number ip = (n < 0) ? l_mathop(ceil)(n) : l_mathop(floor)(n);
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pushnumint(L, ip);
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/* fractional part (test needed for inf/-inf) */
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lua_pushnumber(L, (n == ip) ? l_mathop(0.0) : (n - ip));
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}
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return 2;
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}
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static int math_sqrt (lua_State *L) {
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lua_pushnumber(L, l_mathop(sqrt)(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_ult (lua_State *L) {
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lua_Integer a = luaL_checkinteger(L, 1);
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lua_Integer b = luaL_checkinteger(L, 2);
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lua_pushboolean(L, (lua_Unsigned)a < (lua_Unsigned)b);
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return 1;
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}
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static int math_log (lua_State *L) {
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lua_Number x = luaL_checknumber(L, 1);
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lua_Number res;
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if (lua_isnoneornil(L, 2))
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res = l_mathop(log)(x);
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else {
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lua_Number base = luaL_checknumber(L, 2);
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#if !defined(LUA_USE_C89)
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if (base == 2.0) res = l_mathop(log2)(x); else
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#endif
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if (base == 10.0) res = l_mathop(log10)(x);
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else res = l_mathop(log)(x)/l_mathop(log)(base);
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}
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lua_pushnumber(L, res);
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return 1;
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}
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static int math_exp (lua_State *L) {
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lua_pushnumber(L, l_mathop(exp)(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_deg (lua_State *L) {
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lua_pushnumber(L, luaL_checknumber(L, 1) * (l_mathop(180.0) / PI));
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return 1;
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}
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static int math_rad (lua_State *L) {
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lua_pushnumber(L, luaL_checknumber(L, 1) * (PI / l_mathop(180.0)));
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return 1;
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}
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static int math_min (lua_State *L) {
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int n = lua_gettop(L); /* number of arguments */
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int imin = 1; /* index of current minimum value */
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int i;
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luaL_argcheck(L, n >= 1, 1, "value expected");
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for (i = 2; i <= n; i++) {
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if (lua_compare(L, i, imin, LUA_OPLT))
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imin = i;
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}
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lua_pushvalue(L, imin);
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return 1;
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}
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static int math_max (lua_State *L) {
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int n = lua_gettop(L); /* number of arguments */
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int imax = 1; /* index of current maximum value */
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int i;
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luaL_argcheck(L, n >= 1, 1, "value expected");
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for (i = 2; i <= n; i++) {
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if (lua_compare(L, imax, i, LUA_OPLT))
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imax = i;
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}
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lua_pushvalue(L, imax);
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return 1;
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}
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/*
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** This function uses 'double' (instead of 'lua_Number') to ensure that
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** all bits from 'l_rand' can be represented, and that 'RANDMAX + 1.0'
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** will keep full precision (ensuring that 'r' is always less than 1.0.)
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*/
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static int math_random (lua_State *L) {
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lua_Integer low, up;
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double r = (double)l_rand() * (1.0 / ((double)L_RANDMAX + 1.0));
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switch (lua_gettop(L)) { /* check number of arguments */
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case 0: { /* no arguments */
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lua_pushnumber(L, (lua_Number)r); /* Number between 0 and 1 */
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return 1;
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}
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case 1: { /* only upper limit */
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low = 1;
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up = luaL_checkinteger(L, 1);
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break;
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}
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case 2: { /* lower and upper limits */
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low = luaL_checkinteger(L, 1);
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up = luaL_checkinteger(L, 2);
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break;
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}
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default: return luaL_error(L, "wrong number of arguments");
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}
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/* random integer in the interval [low, up] */
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luaL_argcheck(L, low <= up, 1, "interval is empty");
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luaL_argcheck(L, low >= 0 || up <= LUA_MAXINTEGER + low, 1,
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"interval too large");
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r *= (double)(up - low) + 1.0;
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lua_pushinteger(L, (lua_Integer)r + low);
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return 1;
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}
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static int math_randomseed (lua_State *L) {
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l_srand((unsigned int)(lua_Integer)luaL_checknumber(L, 1));
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(void)l_rand(); /* discard first value to avoid undesirable correlations */
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return 0;
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}
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static int math_type (lua_State *L) {
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if (lua_type(L, 1) == LUA_TNUMBER) {
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if (lua_isinteger(L, 1))
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lua_pushliteral(L, "integer");
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else
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lua_pushliteral(L, "float");
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}
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else {
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luaL_checkany(L, 1);
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lua_pushnil(L);
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}
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return 1;
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}
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/*
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** {==================================================================
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** Deprecated functions (for compatibility only)
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** ===================================================================
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*/
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#if defined(LUA_COMPAT_MATHLIB)
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static int math_cosh (lua_State *L) {
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lua_pushnumber(L, l_mathop(cosh)(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_sinh (lua_State *L) {
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lua_pushnumber(L, l_mathop(sinh)(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_tanh (lua_State *L) {
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lua_pushnumber(L, l_mathop(tanh)(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_pow (lua_State *L) {
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lua_Number x = luaL_checknumber(L, 1);
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lua_Number y = luaL_checknumber(L, 2);
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lua_pushnumber(L, l_mathop(pow)(x, y));
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return 1;
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}
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static int math_frexp (lua_State *L) {
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int e;
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lua_pushnumber(L, l_mathop(frexp)(luaL_checknumber(L, 1), &e));
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lua_pushinteger(L, e);
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return 2;
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}
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static int math_ldexp (lua_State *L) {
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lua_Number x = luaL_checknumber(L, 1);
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int ep = (int)luaL_checkinteger(L, 2);
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lua_pushnumber(L, l_mathop(ldexp)(x, ep));
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return 1;
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}
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static int math_log10 (lua_State *L) {
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lua_pushnumber(L, l_mathop(log10)(luaL_checknumber(L, 1)));
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return 1;
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}
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#endif
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/* }================================================================== */
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static const luaL_Reg mathlib[] = {
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{"abs", math_abs},
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{"acos", math_acos},
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{"asin", math_asin},
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{"atan", math_atan},
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{"ceil", math_ceil},
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{"cos", math_cos},
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{"deg", math_deg},
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{"exp", math_exp},
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{"tointeger", math_toint},
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{"floor", math_floor},
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{"fmod", math_fmod},
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{"ult", math_ult},
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{"log", math_log},
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{"max", math_max},
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{"min", math_min},
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{"modf", math_modf},
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{"rad", math_rad},
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{"random", math_random},
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{"randomseed", math_randomseed},
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{"sin", math_sin},
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{"sqrt", math_sqrt},
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{"tan", math_tan},
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{"type", math_type},
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#if defined(LUA_COMPAT_MATHLIB)
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{"atan2", math_atan},
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{"cosh", math_cosh},
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{"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}
|
||
|
|
};
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
** 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");
|
||
|
|
return 1;
|
||
|
|
}
|
||
|
|
|