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Diffstat (limited to 'src/lua/lmathlib.c')
| -rw-r--r-- | src/lua/lmathlib.c | 410 |
1 files changed, 410 insertions, 0 deletions
diff --git a/src/lua/lmathlib.c b/src/lua/lmathlib.c new file mode 100644 index 0000000..a5fb920 --- /dev/null +++ b/src/lua/lmathlib.c @@ -0,0 +1,410 @@ +/* +** $Id: lmathlib.c,v 1.119.1.1 2017/04/19 17:20:42 roberto Exp $ +** Standard mathematical library +** See Copyright Notice in lua.h +*/ + +#define lmathlib_c +#define LUA_LIB + +#include "lprefix.h" + + +#include "stdlib.h" +#include "math.h" + +#include "lua.h" + +#include "lauxlib.h" +#include "lualib.h" + + +#undef PI +#define PI (l_mathop(3.141592653589793238462643383279502884)) + + +#if !defined(l_rand) /* { */ +#if defined(LUA_USE_POSIX) +#define l_rand() random() +#define l_srand(x) srandom(x) +#define L_RANDMAX 2147483647 /* (2^31 - 1), following POSIX */ +#else +#define l_rand() rand() +#define l_srand(x) srand(x) +#define L_RANDMAX RAND_MAX +#endif +#endif /* } */ + + +static int math_abs (lua_State *L) { + if (lua_isinteger(L, 1)) { + lua_Integer n = lua_tointeger(L, 1); + if (n < 0) n = (lua_Integer)(0u - (lua_Unsigned)n); + lua_pushinteger(L, n); + } + else + lua_pushnumber(L, l_mathop(fabs)(luaL_checknumber(L, 1))); + return 1; +} + +static int math_sin (lua_State *L) { + lua_pushnumber(L, l_mathop(sin)(luaL_checknumber(L, 1))); + return 1; +} + +static int math_cos (lua_State *L) { + lua_pushnumber(L, l_mathop(cos)(luaL_checknumber(L, 1))); + return 1; +} + +static int math_tan (lua_State *L) { + lua_pushnumber(L, l_mathop(tan)(luaL_checknumber(L, 1))); + return 1; +} + +static int math_asin (lua_State *L) { + lua_pushnumber(L, l_mathop(asin)(luaL_checknumber(L, 1))); + return 1; +} + +static int math_acos (lua_State *L) { + lua_pushnumber(L, l_mathop(acos)(luaL_checknumber(L, 1))); + return 1; +} + +static int math_atan (lua_State *L) { + lua_Number y = luaL_checknumber(L, 1); + lua_Number x = luaL_optnumber(L, 2, 1); + lua_pushnumber(L, l_mathop(atan2)(y, x)); + return 1; +} + + +static int math_toint (lua_State *L) { + int valid; + lua_Integer n = lua_tointegerx(L, 1, &valid); + if (valid) + lua_pushinteger(L, n); + else { + luaL_checkany(L, 1); + lua_pushnil(L); /* value is not convertible to integer */ + } + return 1; +} + + +static void pushnumint (lua_State *L, lua_Number d) { + lua_Integer n; + if (lua_numbertointeger(d, &n)) /* does 'd' fit in an integer? */ + lua_pushinteger(L, n); /* result is integer */ + else + lua_pushnumber(L, d); /* result is float */ +} + + +static int math_floor (lua_State *L) { + if (lua_isinteger(L, 1)) + lua_settop(L, 1); /* integer is its own floor */ + else { + lua_Number d = l_mathop(floor)(luaL_checknumber(L, 1)); + pushnumint(L, d); + } + return 1; +} + + +static int math_ceil (lua_State *L) { + if (lua_isinteger(L, 1)) + lua_settop(L, 1); /* integer is its own ceil */ + else { + lua_Number d = l_mathop(ceil)(luaL_checknumber(L, 1)); + pushnumint(L, d); + } + return 1; +} + + +static int math_fmod (lua_State *L) { + if (lua_isinteger(L, 1) && lua_isinteger(L, 2)) { + lua_Integer d = lua_tointeger(L, 2); + if ((lua_Unsigned)d + 1u <= 1u) { /* special cases: -1 or 0 */ + luaL_argcheck(L, d != 0, 2, "zero"); + lua_pushinteger(L, 0); /* avoid overflow with 0x80000... / -1 */ + } + else + lua_pushinteger(L, lua_tointeger(L, 1) % d); + } + else + lua_pushnumber(L, l_mathop(fmod)(luaL_checknumber(L, 1), + luaL_checknumber(L, 2))); + return 1; +} + + +/* +** next function does not use 'modf', avoiding problems with 'double*' +** (which is not compatible with 'float*') when lua_Number is not +** 'double'. +*/ +static int math_modf (lua_State *L) { + if (lua_isinteger(L ,1)) { + lua_settop(L, 1); /* number is its own integer part */ + lua_pushnumber(L, 0); /* no fractional part */ + } + else { + lua_Number n = luaL_checknumber(L, 1); + /* integer part (rounds toward zero) */ + lua_Number ip = (n < 0) ? l_mathop(ceil)(n) : l_mathop(floor)(n); + pushnumint(L, ip); + /* fractional part (test needed for inf/-inf) */ + lua_pushnumber(L, (n == ip) ? l_mathop(0.0) : (n - ip)); + } + return 2; +} + + +static int math_sqrt (lua_State *L) { + lua_pushnumber(L, l_mathop(sqrt)(luaL_checknumber(L, 1))); + return 1; +} + + +static int math_ult (lua_State *L) { + lua_Integer a = luaL_checkinteger(L, 1); + lua_Integer b = luaL_checkinteger(L, 2); + lua_pushboolean(L, (lua_Unsigned)a < (lua_Unsigned)b); + return 1; +} + +static int math_log (lua_State *L) { + lua_Number x = luaL_checknumber(L, 1); + lua_Number res; + if (lua_isnoneornil(L, 2)) + res = l_mathop(log)(x); + else { + lua_Number base = luaL_checknumber(L, 2); +#if !defined(LUA_USE_C89) + if (base == l_mathop(2.0)) + res = l_mathop(log2)(x); else +#endif + if (base == l_mathop(10.0)) + res = l_mathop(log10)(x); + else + res = l_mathop(log)(x)/l_mathop(log)(base); + } + lua_pushnumber(L, res); + return 1; +} + +static int math_exp (lua_State *L) { + lua_pushnumber(L, l_mathop(exp)(luaL_checknumber(L, 1))); + return 1; +} + +static int math_deg (lua_State *L) { + lua_pushnumber(L, luaL_checknumber(L, 1) * (l_mathop(180.0) / PI)); + return 1; +} + +static int math_rad (lua_State *L) { + lua_pushnumber(L, luaL_checknumber(L, 1) * (PI / l_mathop(180.0))); + return 1; +} + + +static int math_min (lua_State *L) { + int n = lua_gettop(L); /* number of arguments */ + int imin = 1; /* index of current minimum value */ + int i; + luaL_argcheck(L, n >= 1, 1, "value expected"); + for (i = 2; i <= n; i++) { + if (lua_compare(L, i, imin, LUA_OPLT)) + imin = i; + } + lua_pushvalue(L, imin); + return 1; +} + + +static int math_max (lua_State *L) { + int n = lua_gettop(L); /* number of arguments */ + int imax = 1; /* index of current maximum value */ + int i; + luaL_argcheck(L, n >= 1, 1, "value expected"); + for (i = 2; i <= n; i++) { + if (lua_compare(L, imax, i, LUA_OPLT)) + imax = i; + } + lua_pushvalue(L, imax); + return 1; +} + +/* +** This function uses 'double' (instead of 'lua_Number') to ensure that +** all bits from 'l_rand' can be represented, and that 'RANDMAX + 1.0' +** will keep full precision (ensuring that 'r' is always less than 1.0.) +*/ +static int math_random (lua_State *L) { + lua_Integer low, up; + double r = (double)l_rand() * (1.0 / ((double)L_RANDMAX + 1.0)); + switch (lua_gettop(L)) { /* check number of arguments */ + case 0: { /* no arguments */ + lua_pushnumber(L, (lua_Number)r); /* Number between 0 and 1 */ + return 1; + } + case 1: { /* only upper limit */ + low = 1; + up = luaL_checkinteger(L, 1); + break; + } + case 2: { /* lower and upper limits */ + low = luaL_checkinteger(L, 1); + up = luaL_checkinteger(L, 2); + break; + } + default: return luaL_error(L, "wrong number of arguments"); + } + /* random integer in the interval [low, up] */ + luaL_argcheck(L, low <= up, 1, "interval is empty"); + luaL_argcheck(L, low >= 0 || up <= LUA_MAXINTEGER + low, 1, + "interval too large"); + r *= (double)(up - low) + 1.0; + lua_pushinteger(L, (lua_Integer)r + low); + return 1; +} + + +static int math_randomseed (lua_State *L) { + l_srand((unsigned int)(lua_Integer)luaL_checknumber(L, 1)); + (void)l_rand(); /* discard first value to avoid undesirable correlations */ + return 0; +} + + +static int math_type (lua_State *L) { + if (lua_type(L, 1) == LUA_TNUMBER) { + if (lua_isinteger(L, 1)) + lua_pushliteral(L, "integer"); + else + lua_pushliteral(L, "float"); + } + else { + luaL_checkany(L, 1); + lua_pushnil(L); + } + return 1; +} + + +/* +** {================================================================== +** Deprecated functions (for compatibility only) +** =================================================================== +*/ +#if defined(LUA_COMPAT_MATHLIB) + +static int math_cosh (lua_State *L) { + lua_pushnumber(L, l_mathop(cosh)(luaL_checknumber(L, 1))); + return 1; +} + +static int math_sinh (lua_State *L) { + lua_pushnumber(L, l_mathop(sinh)(luaL_checknumber(L, 1))); + return 1; +} + +static int math_tanh (lua_State *L) { + lua_pushnumber(L, l_mathop(tanh)(luaL_checknumber(L, 1))); + return 1; +} + +static int math_pow (lua_State *L) { + lua_Number x = luaL_checknumber(L, 1); + lua_Number y = luaL_checknumber(L, 2); + lua_pushnumber(L, l_mathop(pow)(x, y)); + return 1; +} + +static int math_frexp (lua_State *L) { + int e; + lua_pushnumber(L, l_mathop(frexp)(luaL_checknumber(L, 1), &e)); + lua_pushinteger(L, e); + return 2; +} + +static int math_ldexp (lua_State *L) { + lua_Number x = luaL_checknumber(L, 1); + int ep = (int)luaL_checkinteger(L, 2); + lua_pushnumber(L, l_mathop(ldexp)(x, ep)); + return 1; +} + +static int math_log10 (lua_State *L) { + lua_pushnumber(L, l_mathop(log10)(luaL_checknumber(L, 1))); + return 1; +} + +#endif +/* }================================================================== */ + + + +static const luaL_Reg mathlib[] = { + {"abs", math_abs}, + {"acos", math_acos}, + {"asin", math_asin}, + {"atan", math_atan}, + {"ceil", math_ceil}, + {"cos", math_cos}, + {"deg", math_deg}, + {"exp", math_exp}, + {"tointeger", math_toint}, + {"floor", math_floor}, + {"fmod", math_fmod}, + {"ult", math_ult}, + {"log", math_log}, + {"max", math_max}, + {"min", math_min}, + {"modf", math_modf}, + {"rad", math_rad}, + {"random", math_random}, + {"randomseed", math_randomseed}, + {"sin", math_sin}, + {"sqrt", math_sqrt}, + {"tan", math_tan}, + {"type", math_type}, +#if defined(LUA_COMPAT_MATHLIB) + {"atan2", math_atan}, + {"cosh", math_cosh}, + {"sinh", math_sinh}, + {"tanh", math_tanh}, + {"pow", math_pow}, + {"frexp", math_frexp}, + {"ldexp", math_ldexp}, + {"log10", math_log10}, +#endif + /* placeholders */ + {"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; +} + |