401 lines
9.7 KiB
C
401 lines
9.7 KiB
C
/*
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** $Id: lmathlib.c,v 1.67.1.1 2007/12/27 13:02:25 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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#define LUAC_CROSS_FILE
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#include "lua.h"
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#include C_HEADER_STDLIB
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#include C_HEADER_MATH
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#include "lauxlib.h"
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#include "lualib.h"
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#include "lrotable.h"
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#undef PI
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#define PI (3.14159265358979323846)
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#define RADIANS_PER_DEGREE (PI/180.0)
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static int math_abs (lua_State *L) {
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#ifdef LUA_NUMBER_INTEGRAL
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lua_Number x = luaL_checknumber(L, 1);
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if (x < 0) x = -x; //fails for -2^31
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lua_pushnumber(L, x);
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#else
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lua_pushnumber(L, fabs(luaL_checknumber(L, 1)));
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#endif
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return 1;
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}
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#ifndef LUA_NUMBER_INTEGRAL
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#if 0
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static int math_sin (lua_State *L) {
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lua_pushnumber(L, sin(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, sinh(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, cos(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_cosh (lua_State *L) {
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lua_pushnumber(L, cosh(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, tan(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, tanh(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, 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, 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_pushnumber(L, atan(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_atan2 (lua_State *L) {
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lua_pushnumber(L, atan2(luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
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return 1;
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}
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#endif
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static int math_ceil (lua_State *L) {
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lua_pushnumber(L, ceil(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_floor (lua_State *L) {
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lua_pushnumber(L, floor(luaL_checknumber(L, 1)));
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return 1;
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}
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#if 0
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static int math_fmod (lua_State *L) {
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lua_pushnumber(L, fmod(luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
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return 1;
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}
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static int math_modf (lua_State *L) {
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double ip;
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double fp = modf(luaL_checknumber(L, 1), &ip);
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lua_pushnumber(L, ip);
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lua_pushnumber(L, fp);
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return 2;
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}
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#endif
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#else // #ifndef LUA_NUMBER_INTEGRAL
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// In integer math, floor() and ceil() give the same value;
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// having them in the integer library allows you to write code that
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// works in both integer and floating point versions of Lua.
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// This identity function is used for them.
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static int math_identity (lua_State *L) {
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lua_pushnumber(L, luaL_checknumber(L, 1));
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return 1;
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}
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#endif // #ifndef LUA_NUMBER_INTEGRAL
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#ifdef LUA_NUMBER_INTEGRAL
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// Integer square root for integer version
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static lua_Number isqrt(lua_Number x)
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{
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lua_Number op, res, one;
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op = x; res = 0;
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/* "one" starts at the highest power of four <= than the argument. */
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one = 1 << 30; /* second-to-top bit set */
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while (one > op) one >>= 2;
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while (one != 0) {
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if (op >= res + one) {
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op = op - (res + one);
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res = res + 2 * one;
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}
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res >>= 1;
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one >>= 2;
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}
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return(res);
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}
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#endif
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static int math_sqrt (lua_State *L) {
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#ifdef LUA_NUMBER_INTEGRAL
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lua_Number x = luaL_checknumber(L, 1);
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luaL_argcheck(L, 0<=x, 1, "negative");
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lua_pushnumber(L, isqrt(x));
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#else
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lua_pushnumber(L, sqrt(luaL_checknumber(L, 1)));
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#endif
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return 1;
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}
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#ifdef LUA_NUMBER_INTEGRAL
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# define pow(a,b) luai_ipow(a,b)
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#endif
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static int math_pow (lua_State *L) {
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lua_pushnumber(L, pow(luaL_checknumber(L, 1), luaL_checknumber(L, 2)));
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return 1;
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}
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#ifdef LUA_NUMBER_INTEGRAL
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# undef pow
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#endif
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#ifndef LUA_NUMBER_INTEGRAL
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#if 0
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static int math_log (lua_State *L) {
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lua_pushnumber(L, log(luaL_checknumber(L, 1)));
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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, log10(luaL_checknumber(L, 1)));
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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, 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)/RADIANS_PER_DEGREE);
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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)*RADIANS_PER_DEGREE);
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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, 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_pushnumber(L, ldexp(luaL_checknumber(L, 1), luaL_checkint(L, 2)));
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return 1;
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}
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#endif
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#endif // #ifdef LUA_NUMBER_INTEGRAL
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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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lua_Number dmin = luaL_checknumber(L, 1);
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int i;
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for (i=2; i<=n; i++) {
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lua_Number d = luaL_checknumber(L, i);
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if (d < dmin)
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dmin = d;
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}
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lua_pushnumber(L, dmin);
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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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lua_Number dmax = luaL_checknumber(L, 1);
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int i;
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for (i=2; i<=n; i++) {
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lua_Number d = luaL_checknumber(L, i);
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if (d > dmax)
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dmax = d;
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}
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lua_pushnumber(L, dmax);
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return 1;
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}
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#ifdef LUA_NUMBER_INTEGRAL
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static int math_random (lua_State *L) {
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lua_Number r = (lua_Number)(rand()%RAND_MAX);
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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, 0); /* Number between 0 and 1 - always 0 with ints */
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break;
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}
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case 1: { /* only upper limit */
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int u = luaL_checkint(L, 1);
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luaL_argcheck(L, 1<=u, 1, "interval is empty");
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lua_pushnumber(L, (r % u)+1); /* int between 1 and `u' */
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break;
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}
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case 2: { /* lower and upper limits */
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int l = luaL_checkint(L, 1);
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int u = luaL_checkint(L, 2);
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luaL_argcheck(L, l<=u, 2, "interval is empty");
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lua_pushnumber(L, (r%(u-l+1))+l); /* int between `l' and `u' */
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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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return 1;
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}
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#else
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static int math_random (lua_State *L) {
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/* the `%' avoids the (rare) case of r==1, and is needed also because on
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some systems (SunOS!) `rand()' may return a value larger than RAND_MAX */
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lua_Number r = (lua_Number)(rand()%RAND_MAX) / (lua_Number)RAND_MAX;
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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, r); /* Number between 0 and 1 */
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break;
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}
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case 1: { /* only upper limit */
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int u = luaL_checkint(L, 1);
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luaL_argcheck(L, 1<=u, 1, "interval is empty");
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lua_pushnumber(L, floor(r*u)+1); /* int between 1 and `u' */
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break;
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}
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case 2: { /* lower and upper limits */
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int l = luaL_checkint(L, 1);
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int u = luaL_checkint(L, 2);
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luaL_argcheck(L, l<=u, 2, "interval is empty");
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lua_pushnumber(L, floor(r*(u-l+1))+l); /* int between `l' and `u' */
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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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return 1;
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}
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#endif
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static int math_randomseed (lua_State *L) {
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srand(luaL_checkint(L, 1));
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return 0;
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}
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#undef MIN_OPT_LEVEL
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#define MIN_OPT_LEVEL 1
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#include "lrodefs.h"
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const LUA_REG_TYPE math_map[] = {
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#ifdef LUA_NUMBER_INTEGRAL
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{LSTRKEY("abs"), LFUNCVAL(math_abs)},
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{LSTRKEY("ceil"), LFUNCVAL(math_identity)},
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{LSTRKEY("floor"), LFUNCVAL(math_identity)},
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{LSTRKEY("max"), LFUNCVAL(math_max)},
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{LSTRKEY("min"), LFUNCVAL(math_min)},
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{LSTRKEY("pow"), LFUNCVAL(math_pow)},
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{LSTRKEY("random"), LFUNCVAL(math_random)},
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{LSTRKEY("randomseed"), LFUNCVAL(math_randomseed)},
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{LSTRKEY("sqrt"), LFUNCVAL(math_sqrt)},
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#if LUA_OPTIMIZE_MEMORY > 0
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{LSTRKEY("huge"), LNUMVAL(LONG_MAX)},
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#endif
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#else
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{LSTRKEY("abs"), LFUNCVAL(math_abs)},
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// {LSTRKEY("acos"), LFUNCVAL(math_acos)},
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// {LSTRKEY("asin"), LFUNCVAL(math_asin)},
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// {LSTRKEY("atan2"), LFUNCVAL(math_atan2)},
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// {LSTRKEY("atan"), LFUNCVAL(math_atan)},
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{LSTRKEY("ceil"), LFUNCVAL(math_ceil)},
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// {LSTRKEY("cosh"), LFUNCVAL(math_cosh)},
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// {LSTRKEY("cos"), LFUNCVAL(math_cos)},
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// {LSTRKEY("deg"), LFUNCVAL(math_deg)},
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// {LSTRKEY("exp"), LFUNCVAL(math_exp)},
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{LSTRKEY("floor"), LFUNCVAL(math_floor)},
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// {LSTRKEY("fmod"), LFUNCVAL(math_fmod)},
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#if LUA_OPTIMIZE_MEMORY > 0 && defined(LUA_COMPAT_MOD)
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// {LSTRKEY("mod"), LFUNCVAL(math_fmod)},
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#endif
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// {LSTRKEY("frexp"), LFUNCVAL(math_frexp)},
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// {LSTRKEY("ldexp"), LFUNCVAL(math_ldexp)},
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// {LSTRKEY("log10"), LFUNCVAL(math_log10)},
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// {LSTRKEY("log"), LFUNCVAL(math_log)},
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{LSTRKEY("max"), LFUNCVAL(math_max)},
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{LSTRKEY("min"), LFUNCVAL(math_min)},
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// {LSTRKEY("modf"), LFUNCVAL(math_modf)},
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{LSTRKEY("pow"), LFUNCVAL(math_pow)},
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// {LSTRKEY("rad"), LFUNCVAL(math_rad)},
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{LSTRKEY("random"), LFUNCVAL(math_random)},
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{LSTRKEY("randomseed"), LFUNCVAL(math_randomseed)},
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// {LSTRKEY("sinh"), LFUNCVAL(math_sinh)},
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// {LSTRKEY("sin"), LFUNCVAL(math_sin)},
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{LSTRKEY("sqrt"), LFUNCVAL(math_sqrt)},
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// {LSTRKEY("tanh"), LFUNCVAL(math_tanh)},
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// {LSTRKEY("tan"), LFUNCVAL(math_tan)},
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#if LUA_OPTIMIZE_MEMORY > 0
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{LSTRKEY("pi"), LNUMVAL(PI)},
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{LSTRKEY("huge"), LNUMVAL(HUGE_VAL)},
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#endif // #if LUA_OPTIMIZE_MEMORY > 0
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#endif // #ifdef LUA_NUMBER_INTEGRAL
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{LNILKEY, LNILVAL}
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};
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/*
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** Open math library
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*/
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#if defined LUA_NUMBER_INTEGRAL
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# include <limits.h> /* for LONG_MAX */
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#endif
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LUALIB_API int luaopen_math (lua_State *L) {
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#if LUA_OPTIMIZE_MEMORY > 0
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return 0;
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#else
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luaL_register(L, LUA_MATHLIBNAME, math_map);
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# if defined LUA_NUMBER_INTEGRAL
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lua_pushnumber(L, LONG_MAX);
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lua_setfield(L, -2, "huge");
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# else
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lua_pushnumber(L, PI);
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lua_setfield(L, -2, "pi");
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lua_pushnumber(L, HUGE_VAL);
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lua_setfield(L, -2, "huge");
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# if defined(LUA_COMPAT_MOD)
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lua_getfield(L, -1, "fmod");
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lua_setfield(L, -2, "mod");
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# endif
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# endif
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return 1;
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#endif
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}
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