401 lines
9.9 KiB
C
401 lines
9.9 KiB
C
/*
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** $Id: lmathlib.c,v 1.119.1.1 2017/04/19 17:20:42 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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} else {
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lua_Number m, a=luaL_checknumber(L, 1), b=luaL_checknumber(L, 2);
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if (b==0) luaL_error(L,"modulo by zero");
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m = a/b;
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lua_pushnumber(L, a - b*(m > 0.0 ? floor(m) : ceil(m)));
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}
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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 == l_mathop(2.0))
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res = l_mathop(log2)(x); else
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#endif
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if (base == l_mathop(10.0))
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res = l_mathop(log10)(x);
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else
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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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LROT_BEGIN(mathlib, NULL, 0)
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LROT_FUNCENTRY( abs, math_abs)
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LROT_FUNCENTRY( acos, math_acos)
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LROT_FUNCENTRY( asin, math_asin)
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LROT_FUNCENTRY( atan, math_atan)
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LROT_FUNCENTRY( ceil, math_ceil)
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LROT_FUNCENTRY( cos, math_cos)
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LROT_FUNCENTRY( deg, math_deg)
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LROT_FUNCENTRY( exp, math_exp)
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LROT_FUNCENTRY( tointeger, math_toint)
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LROT_FUNCENTRY( floor, math_floor)
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LROT_FUNCENTRY( fmod, math_fmod)
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LROT_FUNCENTRY( ult, math_ult)
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LROT_FUNCENTRY( log, math_log)
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LROT_FUNCENTRY( max, math_max)
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LROT_FUNCENTRY( min, math_min)
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LROT_FUNCENTRY( modf, math_modf)
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LROT_FUNCENTRY( rad, math_rad)
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LROT_FUNCENTRY( random, math_random)
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LROT_FUNCENTRY( randomseed, math_randomseed)
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LROT_FUNCENTRY( sin, math_sin)
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LROT_FUNCENTRY( sqrt, math_sqrt)
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LROT_FUNCENTRY( tan, math_tan)
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LROT_FUNCENTRY( type, math_type)
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#if defined(LUA_COMPAT_MATHLIB)
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LROT_FUNCENTRY( atan2, math_atan)
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LROT_FUNCENTRY( cosh, math_cosh)
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LROT_FUNCENTRY( sinh, math_sinh)
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LROT_FUNCENTRY( tanh, math_tanh)
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LROT_FUNCENTRY( pow, math_pow)
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LROT_FUNCENTRY( frexp, math_frexp)
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LROT_FUNCENTRY( ldexp, math_ldexp)
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LROT_FUNCENTRY( log10, math_log10)
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#endif
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LROT_FLOATENTRY( pi, PI)
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LROT_FLOATENTRY( huge,(lua_Number)HUGE_VAL)
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LROT_INTENTRY( maxinteger, LUA_MAXINTEGER)
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LROT_INTENTRY( mininteger, LUA_MININTEGER)
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LROT_END(mathlib, NULL, 0)
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/*
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** Open math library
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*/
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LUAMOD_API int luaopen_math (lua_State *L) {
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(void)L;
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return 0;
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}
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