mirror of https://github.com/lua/lua
317 lines
7.3 KiB
C
317 lines
7.3 KiB
C
/*
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** $Id: lmathlib.c,v 1.91 2013/07/10 20:57:05 roberto Exp roberto $
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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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#include <stdlib.h>
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#include <math.h>
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#define lmathlib_c
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#define LUA_LIB
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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 ((lua_Number)(3.1415926535897932384626433832795))
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#define RADIANS_PER_DEGREE ((lua_Number)(PI/180.0))
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static int math_abs (lua_State *L) {
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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_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_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_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_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_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_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_pushnumber(L, l_mathop(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, l_mathop(atan2)(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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static int math_ceil (lua_State *L) {
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lua_pushnumber(L, l_mathop(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, l_mathop(floor)(luaL_checknumber(L, 1)));
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return 1;
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}
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static int math_ifloor (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_checktype(L, 1, LUA_TNUMBER); /* error if not a number */
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lua_pushnil(L); /* number with invalid integer value */
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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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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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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(floor)(-n) : l_mathop(floor)(n);
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lua_pushnumber(L, ip);
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/* fractionary part (test handles inf/-inf) */
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lua_pushnumber(L, (n == ip) ? 0.0 : (n - ip));
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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_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_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 (base == (lua_Number)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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#if defined(LUA_COMPAT_LOG10)
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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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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)/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, 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 = luaL_checkint(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_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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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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lua_Integer low, up;
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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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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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up++; /* change interval to [low, up) */
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luaL_argcheck(L, up - low > 0, 1, "interval is empty");
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lua_pushinteger(L, (lua_Integer)(r * (lua_Number)(up - low)) + 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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srand(luaL_checkunsigned(L, 1));
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(void)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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luaL_checkany(L, 1);
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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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lua_pushnil(L);
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return 1;
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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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{"atan2", math_atan2},
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{"atan", math_atan},
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{"ceil", math_ceil},
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{"cosh", math_cosh},
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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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{"floor", math_floor},
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{"ifloor", math_ifloor},
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{"fmod", math_fmod},
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{"frexp", math_frexp},
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{"ldexp", math_ldexp},
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#if defined(LUA_COMPAT_LOG10)
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{"log10", math_log10},
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#endif
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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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{"pow", math_pow},
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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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{"sinh", math_sinh},
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{"sin", math_sin},
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{"sqrt", math_sqrt},
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{"tanh", math_tanh},
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{"tan", math_tan},
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{"type", math_type},
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{NULL, NULL}
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};
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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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luaL_newlib(L, mathlib);
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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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return 1;
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}
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