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The good news is that lmathlib.c from 5.2 can be used in 5.1 with just
these simple fixes:

#ifdef lmathlib_c
#define luaL_checkunsigned luaL_checkint
#define LUAMOD_API LUALIB_API
#define luaL_newlib(L,x) luaL_register(L, LUA_MATHLIBNAME, x)
#define LUA_COMPAT_LOG10
#endif