アルゴリズム – Sasapea's Lab

かなり昔に計算式をＵＩで設定したり設定ファイル等に書いておいて実行できると便利かもと思って何度か作ってみたことがある。基本的なアルゴリズムというのは自分の好みにあってるらしく興味深いものを感じるし、例えば．．．計算式自体を変更しなければならなくなったときプログラムを修正することなく設定変更だけで対応することができたりしたら便利なはずだ。

Shunting Yard Algorithmについて
 Shunting-yard algorithm

あまりに久しぶりすぎて全て忘れてる状態だったので上記を参考にさせてもらったがとても分かりやすくまとめられている。

今回のはShunting-yard algorithm に、関数(可変長引数＆引数省略対応)、シンボル参照、構文エラーチェック、定数式や結果が不変となる関数のコンパイル時評価などを追加してみたが、このアルゴリズムはわかりやすくシンプルでとても良い。これ一択でいいんじゃね？と思ってしまった。

演算子は、C言語の代入演算子、配列演算子、ドット演算子、アドレス＆ポインター演算子、三項演算子を除く演算子に対応。三項演算子は実装を複雑にしてまで対応するメリットがないというかそもそもIF()関数を実装すれば必要ないものなので三項演算子はあえて非対応としてみた。

おまけの関数はエクセルを参考に汎用的に使えそうなものを実装してみたがメリットがあるのかどうかは不明。

get(str)     // 名前参照
set(str,str) // 名前設定
call(str,...)
com(num)
not(num)
abs(num)
pos(num)
neg(num)
mul(num,num)
div(num,num)
mod(num,num)
add(num,num)
sub(num,num)
shl(num,num)
shr(num,num)
le(num,num) or le(str,str)
ge(num,num) or ge(str,str)
lt(num,num) or lt(str,str)
gt(num,num) or gt(str,str)
ne(num,num) or ne(str,str)
eq(num,num) or eq(str,str)
and(num,num)
xor(num,num)
or(num,num)
ands(bool1,bool2,...)
ors(bool1,bool2,...)
typeof(value)
if(bool,true-expr, false-expr)
ifs(bool1,expr1,bool2,expr2,...)
iferror(expr,error-expr)
switch(value,value1,expr1,value2,expr2...)
choose(num,expr1,expr2...)
sexec(num,expr1,expr2,...)
concats(str1,str2,...)
len(str)
left(str,len)
right(str,len)
mid(str,pos,len)
upper(str)
lower(str)
date(year,month,day)
time(hour,minute,second)
today()
now()
year()
month()
day()
week()
hour()
minute()
second()
min(num,num)
max(num,num)
fmod(num,num)
modf(num,num)
ceil(num)
floor(num)
round(num, num)
pow(num, num)
sqrt(num)
log(num)
log1p(num)
log2(num)
log10(num)
logb(num)
exp(num)
sin(num)
cos(num)
tan(num)
sinh(num)
cosh(num)
tanh(num)
asin(num)
acos(num)
atan(num)
atan2(num, num)
asinh(num)
acosh(num)
atanh(num)

get(str) // 名前参照

set(str,str) // 名前設定

call(str,...)

com(num)

not(num)

abs(num)

pos(num)

neg(num)

mul(num,num)

div(num,num)

mod(num,num)

add(num,num)

sub(num,num)

shl(num,num)

shr(num,num)

le(num,num) or le(str,str)

ge(num,num) or ge(str,str)

lt(num,num) or lt(str,str)

gt(num,num) or gt(str,str)

ne(num,num) or ne(str,str)

eq(num,num) or eq(str,str)

and(num,num)

xor(num,num)

or(num,num)

ands(bool1,bool2,...)

ors(bool1,bool2,...)

typeof(value)

if(bool,true-expr, false-expr)

ifs(bool1,expr1,bool2,expr2,...)

iferror(expr,error-expr)

switch(value,value1,expr1,value2,expr2...)

choose(num,expr1,expr2...)

sexec(num,expr1,expr2,...)

concats(str1,str2,...)

len(str)

left(str,len)

right(str,len)

mid(str,pos,len)

upper(str)

lower(str)

date(year,month,day)

time(hour,minute,second)

today()

now()

year()

month()

day()

week()

hour()

minute()

second()

min(num,num)

max(num,num)

fmod(num,num)

modf(num,num)

ceil(num)

floor(num)

round(num, num)

pow(num, num)

sqrt(num)

log(num)

log1p(num)

log2(num)

log10(num)

logb(num)

exp(num)

sin(num)

cos(num)

tan(num)

sinh(num)

cosh(num)

tanh(num)

asin(num)

acos(num)

atan(num)

atan2(num, num)

asinh(num)

acosh(num)

atanh(num)

[単項演算子]

!
~
+
-

[二項演算子]

+
-
*
/
%
>>
<<
&
|
^

[比較演算子]

<=
>=
<
>
!=
==

[論理演算子]

&&
||

[括弧演算子]

(
)

(

)

[関数]

name
(
,
)

可変長引数＆引数省略対応。対応している関数はParser::FUNCTIONS[]を参照。

name

(

)

可変長引数＆引数省略対応。対応している関数はParser::FUNCTIONS[]を参照。

[シンボル参照]

name

外部のコールバック関数による解決。
const std::string resolver(const std::string &name)
{
  return ...
}

name

外部のコールバック関数による解決。

const std::string resolver(const std::string &name)

{

return ...

}

[データ型]

ブランク型(エラー時など)
数値型(long double)
文字型(std::string)

ブランク型(エラー時など)

数値型(long double)

文字型(std::string)

データ型は必要とされる型に自動変換するので型についてはあまり気にしなくても良い。例えば、1 + 2 と “1” + “2” の結果は同じく 3 である。文字型から数値型への変換は問題ないが、小数桁を含む数値型を文字型に変換した場合に精度落ちすることがあるので注意すること。ブランク型を変換した場合はゼロ(0)或いは空文字(“”)として扱われる。

C++17以降に対応したコンパイラとコンパイラ・オプション(-std=c++17)が必要となることと、時刻系の関数の実装にlocaltime_r()を使ってるのが原因でインクルードの順番によってlocatime_rがエラーになる場合がある。もし、localtime_rがエラーになったら、expr.hを一番最初にインクルードしてみるべし。
もしくは、-d_POSIX_THREAD_SAFE_FUNCTIONSをコンパイラ・オプションに追加しても良い。

【修正】
2024-11-16
小数部を含む浮動小数点値の文字列変換での精度落ちを防ぐためtoString()を指数形式に変更。これに伴い新たに表示用のtoPrint()を追加。計算結果を表示する場合はtoPrint()を使うこと。

2024-11-15
sexec()の追加。使い方はchoose()と全く同じであるが全ての引数を順次実行していく点が異なる。
sexec(3,set(‘a’,2),set(‘b’,3),a*b) –> 6
それと、math.hに定義されているM_PIなどの浮動小数点定数を名前参照できるように改良。何かと便利かも。

M_E        2.7182818284590452354
M_LOG2E    1.4426950408889634074
M_LOG10E   0.43429448190325182765
M_LN2      0.69314718055994530942
M_LN10     2.30258509299404568402
M_PI       3.14159265358979323846
M_PI_2     1.57079632679489661923
M_PI_4     0.78539816339744830962
M_1_PI     0.31830988618379067154
M_2_PI     0.63661977236758134308
M_2_SQRTPI 1.12837916709551257390
M_SQRT2    1.41421356237309504880
M_SQRT1_2  0.70710678118654752440

M_E 2.7182818284590452354

M_LOG2E 1.4426950408889634074

M_LOG10E 0.43429448190325182765

M_LN2 0.69314718055994530942

M_LN10 2.30258509299404568402

M_PI 3.14159265358979323846

M_PI_2 1.57079632679489661923

M_PI_4 0.78539816339744830962

M_1_PI 0.31830988618379067154

M_2_PI 0.63661977236758134308

M_2_SQRTPI 1.12837916709551257390

M_SQRT2 1.41421356237309504880

M_SQRT1_2 0.70710678118654752440

2024-11-14
min/max/log1p/log2/logb/asinh/acosh/atanh関数の追加と、call()に引数($1,$2,…)を渡せるようにしてみた。
call($1+$2,1,2) –> 3

2024-11-13
最適化したときのミスで単項演算子がエラーになるので修正。ついでに一般的なmath関数を追加してみた。バイナリーがデカくなった気がするが気のせいかな？

2024-11-12
jsonの構造化データを扱うための改良を行った。サンプルプログラム側の改良内容(resolver)と合わせること。
aaa.bbb.ccc
aaa[0].bbb[1].ccc[2]
配列のインデックスを動的に変更したいときはget(concats(“aaa[“,0,”]”))のようにすることもできる。

2024-11-11
いろいろと最適化。
ちなみに今日はaliexpressの日。(笑)

2024-11-10
いろいろと変更。

2024-11-09
linux対応＆全体的な修正と最適化を行った。

2024-11-08
iferror()関数とコールバック関数とは別に名前解決ができるようにstd::mapを追加。std::map->コールバック関数の順に名前解決する。

2024-11-07
だいぶバグバグしてたので修正。実行時間が妙に早すぎたのもやはりバグだった。v(-_-;)　とはいえ、簡単な計算式なら100ns程度で実行できたから高速なほうかも。
あとデバッグ用としてparse()が返す計算実行用オブジェクトのツリー構造を表示する機能を追加してみた。関数名とか表示されないから見ずらいかもだけどないよりはましかな。

2024-11-06
比較演算子の文字列対応と細かいバグ修正を行った。
それとcall()関数を試験的に追加。call(“1 + 2 * 3”)のように他の計算式の実行結果を参照することができる。
expr1: “1 + 2 * 3”
call(expr1)+3=10
計算式に名前を付けておくとサブルーチンのような使い方ができそう。まだバグッてるがとりあえず公開。
ついでにサンプルプログラムに実行時間を計測する機能を追加してみたら．．．１億回回しても100ms程度しかかからない。ということは１回当たり1ns程度となるが何か間違ってるのかな．．．

【ダウンロード】
ソースコード
 お試し用のサンプルプログラム(formula.exe)

【サンプル・プログラム】

/*
  main.cpp - Calculating Formula Command

  Copyright (c) 2024 Sasapea's Lab. All right reserved.

  This program is free software: you can redistribute it and/or
  modify it under the terms of the GNU General Public License as
  published by the Free Software Foundation, either version 3 of
  the License, or at your option) any later version.

  This program is distributed in the hope that it will be useful,
  but WITHOUT ANY WARRANTY; without even the implied warranty of
  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
  See the GNU General Public License for more details.

  You should have received a copy of the GNU General Public License
  along with this program. If not, see <https://www.gnu.org/licenses/>.
*/
#ifndef _POSIX_THREAD_SAFE_FUNCTIONS
#define _POSIX_THREAD_SAFE_FUNCTIONS
#endif

#include "formula.h"
#include <fstream>
#if _WIN32 || _WIN64
  #include <windows.h>
#endif

// Requires download. (https://github.com/nlohmann/json)
#include "nlohmann/json.hpp"
using json = nlohmann::json;

json jroot;

std::size_t split(std::vector<std::string> &list, const std::string &str, char c)
{
  list.clear();
  for (std::string::size_type pos, off = 0; off < str.length(); off = pos + 1)
  {
    pos = str.find(c, off);
    if (pos == std::string::npos)
    {
      list.push_back(str.substr(off));
      break;
    }
    list.push_back(str.substr(off, pos - off));
  }
  return list.size();
}

std::string getJsonValue(json jobj, const std::string &name)
{
  std::vector<std::string> keys;
  if (split(keys, name, '.'))
  {
    for (auto &key: keys)
    {
      if (key.back() == ']')
      {
        std::string::size_type idx, pos = key.find('[');
        if (pos == std::string::npos)
          return "";
        idx = std::stoul(key.substr(pos + 1, key.length() - 1));
        key = key.substr(0, pos);
        if (!jobj.contains(key))
          return "";
        jobj = jobj[key];
        if (!jobj.is_array() || (idx >= jobj.size()))
          return "";
        jobj = jobj[idx];
      }
      else
      {
        if (!jobj.contains(key))
          return "";
        jobj = jobj[key];
      }
    }
    if (jobj.is_primitive() && !jobj.is_null())
    {
      std::string str = jobj.dump();
      if ((str.front() == '"') && (str.back() == '"'))
        str = str.substr(1, str.length() - 2);
      return str;
    }
  }
  return "";
}

const std::string resolver(const std::string &name)
{
  return getJsonValue(jroot, name);
}

unsigned long millis(void)
{
#if _WIN32 || _WIN64
  return GetTickCount();
#else
  struct timespec ts;
  clock_gettime(CLOCK_MONOTONIC_RAW, &ts);
  return (size_t)ts.tv_sec * 1000 + (ts.tv_nsec / 1000000);
#endif
}

void usage(void)
{
  printf("Calculating Formula Command, Version 1.00\n");
  printf("\n");
  printf("usage: formula [options] \"expression-string\"\n");
  printf("\n");
  printf("  options:\n");
  printf("    -dname=value ... set argument value\n");
  printf("    -jfilepath   ... read json file\n");
  printf("    -t           ... display result tree\n");
  printf("    -s           ... display speed\n");
  printf("\n");
}

int main(int argc, char **argv)
{
  std::string expr = "\"Please enter the formula.\"";
  bool dump  = false;
  bool speed = false;
  bool help  = false;
  calculation::Formula formula(resolver);
  for (int i = 1; i < argc; )
  {
    const char *p = argv[i++];
    if (*p == '-')
    {
      std::string str;
      std::string::size_type pos;
      std::ifstream file;
      ++p;
      switch (*p)
      {
        case 'd':
          str = p + 1;
          pos = str.find('=');
          if (pos != std::string::npos)
            formula.setNameValue(str.substr(0, pos), str.substr(pos + 1));
          break;
        case 'j':
          file.open(p + 1);
          if (file)
          {
            jroot = json::parse(file);
            file.close();
          }
          else
          {
            printf("file open error: %s\n", p + 1);
            return 1;
          }
          break;
        case 't':
          dump = true;
          break;
        case 's':
          speed = true;
          break;
        default:
          help = true;
          break;
      }
    }
    else
      expr = p;
  }
  if (help)
    usage();
  else
  {
    std::size_t epos = formula.parse(expr);
    if (dump)
      formula.getResult().dump();
    if (epos == 0)
    {
      if (speed)
      {
        unsigned long loops = 1000000UL;
        unsigned long ms = millis();
        for (unsigned long i = 0; i < loops; ++i)
          formula.getResult().getValue();
        ms = millis() - ms;
        printf("time = %lu ms (%f us)\n", ms, (double)ms * 1000 / loops);
      }
      std::string str = formula.getResult().getValue().toPrint();
      if (formula.getResult().getType() == calculation::Variant::TYPE_STRING)
        printf("\"%s\"\n", str.c_str());
      else
        printf("%s\n", str.c_str());
      return 0;
    }
    printf("invalid expression: epos = %zu\n", epos);
    printf("  %s\n  ", expr.c_str());
    for (std::size_t i = 1; i < epos; ++i)
      printf(" ");
    printf("^");
  }
  return 1;
}

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main.cpp - Calculating Formula Command

This program is free software: you can redistribute it and/or

modify it under the terms of the GNU General Public License as

published by the Free Software Foundation, either version 3 of

the License, or at your option) any later version.

This program is distributed in the hope that it will be useful,

but WITHOUT ANY WARRANTY; without even the implied warranty of

MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.

See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License

along with this program. If not, see <https://www.gnu.org/licenses/>.

#ifndef _POSIX_THREAD_SAFE_FUNCTIONS

#define _POSIX_THREAD_SAFE_FUNCTIONS

#endif

#include "formula.h"

#include <fstream>

#if _WIN32 || _WIN64

#include <windows.h>

#endif

// Requires download. (https://github.com/nlohmann/json)

#include "nlohmann/json.hpp"

using json = nlohmann::json;

json jroot;

std::size_t split(std::vector<std::string> &list, const std::string &str, char c)

{

list.clear();

for (std::string::size_type pos, off = 0; off < str.length(); off = pos + 1)

{

pos = str.find(c, off);

if (pos == std::string::npos)

{

list.push_back(str.substr(off));

break;

}

list.push_back(str.substr(off, pos - off));

}

return list.size();

}

std::string getJsonValue(json jobj, const std::string &name)

{

std::vector<std::string> keys;

if (split(keys, name, '.'))

{

for (auto &key: keys)

{

if (key.back() == ']')

{

std::string::size_type idx, pos = key.find('[');

if (pos == std::string::npos)

return "";

idx = std::stoul(key.substr(pos + 1, key.length() - 1));

key = key.substr(0, pos);

if (!jobj.contains(key))

return "";

jobj = jobj[key];

if (!jobj.is_array() || (idx >= jobj.size()))

return "";

jobj = jobj[idx];

}

else

{

if (!jobj.contains(key))

return "";

jobj = jobj[key];

}

if (jobj.is_primitive() && !jobj.is_null())

{

std::string str = jobj.dump();

if ((str.front() == '"') && (str.back() == '"'))

str = str.substr(1, str.length() - 2);

return str;

}

return "";

}

const std::string resolver(const std::string &name)

{

return getJsonValue(jroot, name);

}

unsigned long millis(void)

{

#if _WIN32 || _WIN64

return GetTickCount();

#else

struct timespec ts;

clock_gettime(CLOCK_MONOTONIC_RAW, &ts);

return (size_t)ts.tv_sec * 1000 + (ts.tv_nsec / 1000000);

#endif

}

void usage(void)

{

printf("Calculating Formula Command, Version 1.00\n");

printf("\n");

printf("usage: formula [options] \"expression-string\"\n");

printf("\n");

printf(" options:\n");

printf(" -dname=value ... set argument value\n");

printf(" -jfilepath ... read json file\n");

printf(" -t ... display result tree\n");

printf(" -s ... display speed\n");

printf("\n");

}

int main(int argc, char **argv)

{

std::string expr = "\"Please enter the formula.\"";

bool dump = false;

bool speed = false;

bool help = false;

calculation::Formula formula(resolver);

for (int i = 1; i < argc; )

{

const char *p = argv[i++];

if (*p == '-')

{

std::string str;

std::string::size_type pos;

std::ifstream file;

++p;

switch (*p)

{

case 'd':

str = p + 1;

pos = str.find('=');

if (pos != std::string::npos)

formula.setNameValue(str.substr(0, pos), str.substr(pos + 1));

break;

case 'j':

file.open(p + 1);

if (file)

{

jroot = json::parse(file);

file.close();

}

else

{

printf("file open error: %s\n", p + 1);

return 1;

}

break;

case 't':

dump = true;

break;

case 's':

speed = true;

break;

default:

help = true;

break;

}

else

expr = p;

}

if (help)

usage();

else

{

std::size_t epos = formula.parse(expr);

if (dump)

formula.getResult().dump();

if (epos == 0)

{

if (speed)

{

unsigned long loops = 1000000UL;

unsigned long ms = millis();

for (unsigned long i = 0; i < loops; ++i)

formula.getResult().getValue();

ms = millis() - ms;

printf("time = %lu ms (%f us)\n", ms, (double)ms * 1000 / loops);

}

std::string str = formula.getResult().getValue().toPrint();

if (formula.getResult().getType() == calculation::Variant::TYPE_STRING)

printf("\"%s\"\n", str.c_str());

else

printf("%s\n", str.c_str());

return 0;

}

printf("invalid expression: epos = %zu\n", epos);

printf(" %s\n ", expr.c_str());

for (std::size_t i = 1; i < epos; ++i)

printf(" ");

printf("^");

}

return 1;

}

【ライブラリ】

/*
  formula.h - Calculation Formula Library

  Copyright (c) 2024 Sasapea's Lab. All right reserved.

  This program is free software: you can redistribute it and/or
  modify it under the terms of the GNU General Public License as
  published by the Free Software Foundation, either version 3 of
  the License, or at your option) any later version.

  This program is distributed in the hope that it will be useful,
  but WITHOUT ANY WARRANTY; without even the implied warranty of
  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
  See the GNU General Public License for more details.

  You should have received a copy of the GNU General Public License
  along with this program. If not, see <https://www.gnu.org/licenses/>.
*/
#pragma once

#define _STD_CPP_20 (__cplusplus >= 202000L)

#include <stdio.h>
#include <string.h>

#include <cstdint>
#include <string>
#include <cctype>
#include <cmath>
#include <vector>
#include <variant>
#include <ctime>
#include <map>
#include <functional>
#if _STD_CPP_20 /* C++20 */
#include <format>
#endif

#if !defined(__iscsymf)
  #define __iscsymf(c) (((c) == '_') || isalpha(c))
#endif

#if !defined(__iscsym)
  #define __iscsym(c) (((c) == '_') || isalnum(c))
#endif

#define __NUMBER_FORMAT__ "%.*Lg"
#if __LDBL_DIG__
  #define __NUMBER_DIG__  __LDBL_DIG__
#else
  #define __NUMBER_DIG__ 18
#endif

namespace calculation
{

class Variant;
class Function;
class Formula;

typedef std::monostate blank_t;
typedef Variant *      funcptr_t;
typedef std::string    string_t;
typedef long double    number_t;
typedef std::intmax_t  integer_t;

typedef std::function<const string_t(const string_t&)> resolver_t;

class Variant
{
  public:

    typedef enum
    {
      TYPE_BLANK,
      TYPE_FUNCPTR,
      TYPE_STRING,
      TYPE_NUMBER,
      TYPE_RESULT,
    } TYPE;

    Variant(void)
    {
      clear();
    }

    Variant(const string_t value)
    {
      (*this) = value;
    }

    Variant(const number_t value)
    {
      (*this) = value;
    }

    Variant(const Variant &source)
    {
      (*this) = source;
    }

    virtual ~Variant(void)
    {
    }

    virtual void free(void)
    {
      if (index() == TYPE_FUNCPTR)
        std::get<funcptr_t>(_value)->free();
      clear();
    }

    void clear(void)
    {
      _value = blank_t {};
    }

    void operator=(const string_t value)
    {
      _value = value;
    }

    void operator=(const number_t value)
    {
      _value = value;
    }

    void operator=(const Variant &value)
    {
      Function *func = ((Variant &)value).getFuncPtr();
      if (func)
        _value = (funcptr_t)func; /* value is function. */
      else
        _value = value._value;
    }

    void moveto(Variant &value)
    {
      value._value = _value;
      if (index() == TYPE_FUNCPTR)
        clear();
    }

    virtual TYPE getType(void)
    {
      std::size_t t = index();
      return (TYPE)(t == TYPE_FUNCPTR ? std::get<funcptr_t>(_value)->getType() : t);
    }

    virtual Variant &getValue(void)
    {
      return index() == TYPE_FUNCPTR ? std::get<funcptr_t>(_value)->getValue() : *this;
    }

#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wmaybe-uninitialized"

    virtual Function *getFuncPtr(void)
    {
      return index() == TYPE_FUNCPTR ? std::get<funcptr_t>(_value)->getFuncPtr() : nullptr;
    }

#pragma GCC diagnostic pop

    virtual bool isImmutable(void)
    {
      return index() == TYPE_FUNCPTR ? std::get<funcptr_t>(_value)->isImmutable() : true;
    }

    const string_t toPrint(void)
    {
      switch (index())
      {
        case TYPE_STRING:
          return std::get<string_t>(_value);
        case TYPE_NUMBER:
          return toPrint(std::get<number_t>(_value));
        default:
          break;
      }
      return "";
    }

    const string_t toString(void)
    {
      switch (index())
      {
        case TYPE_STRING:
          return std::get<string_t>(_value);
        case TYPE_NUMBER:
          return toString(std::get<number_t>(_value));
        default:
          break;
      }
      return "";
    }

    number_t toNumber(void)
    {
      switch (index())
      {
        case TYPE_STRING:
          return toNumber(std::get<string_t>(_value));
        case TYPE_NUMBER:
          return std::get<number_t>(_value);
        default:
          break;
      }
      return 0;
    }

    static string_t toPrint(number_t num)
    {
      string_t str = std::to_string(num);
      if (str.find('.') != std::string::npos)
      {
        for (std::size_t i = str.size(); i > 0; )
        {
          char c = str[--i];
          if (c != '0')
            return str.substr(0, c == '.' ? i : i + 1);
        }
      }
      return str;
    }

    static string_t toString(number_t num)
    {
      char buf[64];
      snprintf(buf, sizeof(buf), __NUMBER_FORMAT__, __NUMBER_DIG__ + 1, num);
      return buf;
    }

    static number_t toNumber(const string_t &str)
    {
      std::size_t pos = 0;
      return toNumber(str, pos);
    }

    static number_t toNumber(const string_t &str, std::size_t &pos)
    {
      number_t rv = 0;
      string_t num;
      char c;
      while (std::isspace((c = str[pos])))
        ++pos;
      if ((c == '-') || (c == '+'))
      {
        if (c == '-')
          num += c;
        ++pos;
      }
      while (std::isspace((c = str[pos])))
        ++pos;
      if (std::isdigit(c))
      {
        char c2 = std::tolower(str[pos + 1]);
        if ((c == '0') && (c2 == 'x'))
        {
          c = str[pos += 2];
          while (std::isxdigit(c))
          {
            num += c;
            c = str[++pos];
          }
          rv = std::stoll(num, nullptr, 16);
        }
        else if ((c == '0') && (c2 == 'b'))
        {
          c = str[pos += 2];
          while ((c >= '0') && (c <= '1'))
          {
            num += c;
            c = str[++pos];
          }
          rv = std::stoll(num, nullptr, 2);
        }
        else if ((c == '0') && (c2 >= '0') && (c2 <= '7'))
        {
          do
          {
            num += c;
            c = str[++pos];
          }
          while ((c >= '0') && (c <= '7'));
          rv = std::stoll(num, nullptr, 8);
        }
        else
        {
          do
          {
            num += c;
            c = str[++pos];
          }
          while (std::isdigit(c));
          if (c == '.')
          {
            do
            {
              num += c;
              c = str[++pos];
            }
            while (std::isdigit(c));
          }
          if (tolower(c) == 'e')
          {
            num += c;
            c = str[++pos];
            if ((c == '-') || (c == '+'))
            {
              num += c;
              c = str[++pos];
            }
            while (std::isdigit(c))
            {
              num += c;
              c = str[++pos];
            }
          }
          rv = std::stod(num);
        }
      }
      return rv;
    }

    void dump(size_t indent = 0)
    {
      for(size_t i = 0; i < indent; ++i)
        printf(" ");
      dumpname();
      Variant *func = (Variant *)getFuncPtr();
      (func ? func : this)->dumpfunc(indent);
    }

    virtual void dumpname(void)
    {
      switch (index())
      {
        case Variant::TYPE_BLANK:   printf("{BLANK}"); break;
        case Variant::TYPE_FUNCPTR: ((Variant *)getFuncPtr())->dumpname(); break;
        case Variant::TYPE_STRING:  printf("\"%s\"", toString().c_str());  break;
        case Variant::TYPE_NUMBER:  printf("%s"    , toString().c_str());  break;
      }
    }

    virtual void dumpfunc(size_t indent)
    {
      printf("\n");
    }

  private:

    virtual std::size_t index(void)
    {
      return _value.index();
    }

    std::variant<blank_t, funcptr_t, string_t, number_t> _value;
};

class Function : public Variant
{
  public:

    Function(TYPE type, std::size_t maxargs = 0)
      : Function(type, maxargs, maxargs)
    {
    }

    Function(TYPE type, std::size_t maxargs, std::size_t minargs)
      : _type(type), _maxargs(maxargs), _minargs(minargs)
    {
    }

    virtual ~Function(void)
    {
      for (auto &arg: _arguments)
        arg.free();
      _arguments.clear();
    }

    void free(void) override
    {
      delete this;
    }

    void setFormula(Formula *formula)
    {
      _formula = formula;
    }

    Formula *getFormula(void)
    {
      return _formula;
    }

    std::size_t getMinArgs(void)
    {
      return _minargs;
    }

    std::size_t getMaxArgs(void)
    {
      return _maxargs;
    }

    std::size_t getArgSize(void)
    {
      return _arguments.size();
    }

    Variant &operator[](std::size_t index)
    {
      Variant blank;
      while (_arguments.size() <= index)
        _arguments.push_back(blank);
      return _arguments[index];
    }

    TYPE getType(void) override
    {
      return _type == TYPE_RESULT ? Variant::getType() : _type;
    }

    Variant &getValue(void) override
    {
      execute();
      return *this;
    }

    Function *getFuncPtr(void) override
    {
      return this;
    }

    virtual bool isImmutable(void) override
    {
      for (auto &arg: _arguments)
      {
        if (!arg.isImmutable())
          return false;
      }
      return true;
    }

    virtual const char *getName(void) = 0;
    virtual void execute(void) = 0;

    void dumpname(void) override
    {
      printf("%p_%s", this, getName());
    }

    void dumpfunc(size_t indent) override
    {
      const char *fmt = "";
      printf("(");
      for (auto &arg: _arguments)
      {
        printf(fmt);
        fmt = ", ";
        arg.dumpname();
      }
      printf(")\n");
      for (auto &arg: _arguments)
      {
        if (arg.getFuncPtr())
          arg.dump(indent + 2);
      }
    }

  protected:

    static void localtime(time_t *time, struct tm *tmbuf)
    {
#ifdef _POSIX_THREAD_SAFE_FUNCTIONS
      localtime_r(time, tmbuf);
#else
      *tmbuf = *std::localtime(time);
#endif
    }

    static constexpr std::size_t MAXARGS = 256;

  private:

    Formula             *_formula;
    TYPE                 _type;
    std::size_t          _maxargs;
    std::size_t          _minargs;
    std::vector<Variant> _arguments;
};

class FnNOT : public Function
{
  public:

    static constexpr const char *NAME = "not";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnNOT();
    }

    FnNOT(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = !(*this)[0].getValue().toNumber();
    }
};

class FnCOM : public Function
{
  public:

    static constexpr const char *NAME = "com";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnCOM();
    }

    FnCOM(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = ~(integer_t)(*this)[0].getValue().toNumber();
    }
};

class FnABS : public Function
{
  public:

    static constexpr const char *NAME = "abs";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnABS();
    }

    FnABS(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::abs((*this)[0].getValue().toNumber());
    }
};

class FnPOS : public Function
{
  public:

    static constexpr const char *NAME = "pos";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnPOS();
    }

    FnPOS(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = +(*this)[0].getValue().toNumber();
    }
};

class FnNEG : public Function
{
  public:

    static constexpr const char *NAME = "neg";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnNEG();
    }

    FnNEG(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = -(*this)[0].getValue().toNumber();
    }
};

class FnMUL : public Function
{
  public:

    static constexpr const char *NAME = "mul";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnMUL();
    }

    FnMUL(void) : Function(TYPE_NUMBER, 2)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = (*this)[0].getValue().toNumber() * (*this)[1].getValue().toNumber();
    }
};

class FnDIV : public Function
{
  public:

    static constexpr const char *NAME = "div";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnDIV();
    }

    FnDIV(void) : Function(TYPE_NUMBER, 2)
    {
    }

    void execute(void) override
    {
      number_t num = (*this)[1].getValue().toNumber();
      if (num)
        *(Variant *)this = (*this)[0].getValue().toNumber() / num;
      else
        clear();
    }
};

class FnMOD : public Function
{
  public:

    static constexpr const char *NAME = "mod";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnMOD();
    }

    FnMOD(void) : Function(TYPE_NUMBER, 2)
    {
    }

    void execute(void) override
    {
      intmax_t num = (intmax_t)(*this)[1].getValue().toNumber();
      if (num)
        *(Variant *)this = (intmax_t)(*this)[0].getValue().toNumber() % num;
      else
        clear();
    }
};

class FnADD : public Function
{
  public:

    static constexpr const char *NAME = "add";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnADD();
    }

    FnADD(void) : Function(TYPE_NUMBER, 2)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = (*this)[0].getValue().toNumber() + (*this)[1].getValue().toNumber();
    }
};

class FnSUB : public Function
{
  public:

    static constexpr const char *NAME = "sub";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnSUB();
    }

    FnSUB(void) : Function(TYPE_NUMBER, 2)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = (*this)[0].getValue().toNumber() - (*this)[1].getValue().toNumber();
    }
};

class FnSHL : public Function
{
  public:

    static constexpr const char *NAME = "shl";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnSHL();
    }

    FnSHL(void) : Function(TYPE_NUMBER, 2)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = (integer_t)(*this)[0].getValue().toNumber() << (unsigned char)(*this)[1].getValue().toNumber();
    }
};

class FnSHR : public Function
{
  public:

    static constexpr const char *NAME = "shr";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnSHR();
    }

    FnSHR(void) : Function(TYPE_NUMBER, 2)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = (integer_t)(*this)[0].getValue().toNumber() >> (unsigned char)(*this)[1].getValue().toNumber();
    }
};

class FnLE : public Function
{
  public:

    static constexpr const char *NAME = "le";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnLE();
    }

    FnLE(void) : Function(TYPE_NUMBER, 2)
    {
    }

    void execute(void) override
    {
      Variant &value0 = (*this)[0].getValue();
      Variant &value1 = (*this)[1].getValue();
      if (value0.getType() == value1.getType())
      {
        switch (value0.getType())
        {
          case TYPE_STRING:
            *(Variant *)this = value0.toString() <= value1.toString();
            return;
          case TYPE_NUMBER:
            *(Variant *)this = value0.toNumber() <= value1.toNumber();
            return;
          default:
            break;
        }
      }
      *(Variant *)this = 0;
    }
};

class FnGE : public Function
{
  public:

    static constexpr const char *NAME = "ge";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnGE();
    }

    FnGE(void) : Function(TYPE_NUMBER, 2)
    {
    }

    void execute(void) override
    {
      Variant &value0 = (*this)[0].getValue();
      Variant &value1 = (*this)[1].getValue();
      if (value0.getType() == value1.getType())
      {
        switch (value0.getType())
        {
          case TYPE_STRING:
            *(Variant *)this = value0.toString() >= value1.toString();
            return;
          case TYPE_NUMBER:
            *(Variant *)this = value0.toNumber() >= value1.toNumber();
            return;
          default:
            break;
        }
      }
      *(Variant *)this = 0;
    }
};

class FnLT : public Function
{
  public:

    static constexpr const char *NAME = "lt";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnLT();
    }

    FnLT(void) : Function(TYPE_NUMBER, 2)
    {
    }

    void execute(void) override
    {
      Variant &value0 = (*this)[0].getValue();
      Variant &value1 = (*this)[1].getValue();
      if (value0.getType() == value1.getType())
      {
        switch (value0.getType())
        {
          case TYPE_STRING:
            *(Variant *)this = value0.toString() < value1.toString();
            return;
          case TYPE_NUMBER:
            *(Variant *)this = value0.toNumber() < value1.toNumber();
            return;
          default:
            break;
        }
      }
      *(Variant *)this = 0;
    }
};

class FnGT : public Function
{
  public:

    static constexpr const char *NAME = "gt";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnGT();
    }

    FnGT(void) : Function(TYPE_NUMBER, 2)
    {
    }

    void execute(void) override
    {
      Variant &value0 = (*this)[0].getValue();
      Variant &value1 = (*this)[1].getValue();
      if (value0.getType() == value1.getType())
      {
        switch (value0.getType())
        {
          case TYPE_STRING:
            *(Variant *)this = value0.toString() > value1.toString();
            return;
          case TYPE_NUMBER:
            *(Variant *)this = value0.toNumber() > value1.toNumber();
            return;
          default:
            break;
        }
      }
      *(Variant *)this = 0;
    }
};

class FnNE : public Function
{
  public:

    static constexpr const char *NAME = "ne";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnNE();
    }

    FnNE(void) : Function(TYPE_NUMBER, 2)
    {
    }

    void execute(void) override
    {
      Variant &value0 = (*this)[0].getValue();
      Variant &value1 = (*this)[1].getValue();
      if (value0.getType() == value1.getType())
      {
        switch (value0.getType())
        {
          case TYPE_STRING:
            *(Variant *)this = value0.toString() != value1.toString();
            return;
          case TYPE_NUMBER:
            *(Variant *)this = value0.toNumber() != value1.toNumber();
            return;
          default:
            break;
        }
      }
      *(Variant *)this = 0;
    }
};

class FnEQ : public Function
{
  public:

    static constexpr const char *NAME = "eq";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnEQ();
    }

    FnEQ(void) : Function(TYPE_NUMBER, 2)
    {
    }

    void execute(void) override
    {
      Variant &value0 = (*this)[0].getValue();
      Variant &value1 = (*this)[1].getValue();
      if (value0.getType() == value1.getType())
      {
        switch (value0.getType())
        {
          case TYPE_STRING:
            *(Variant *)this = value0.toString() == value1.toString();
            return;
          case TYPE_NUMBER:
            *(Variant *)this = value0.toNumber() == value1.toNumber();
            return;
          default:
            break;
        }
      }
      *(Variant *)this = 0;
    }
};

class FnANDS : public Function
{
  public:

    static constexpr const char *NAME = "ands";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnANDS();
    }

    FnANDS(void) : Function(TYPE_NUMBER, MAXARGS, 2)
    {
    }

    void execute(void) override
    {
      bool value = true;
      for (std::size_t i = 0; i < getArgSize(); ++i)
      {
        if ((*this)[i].getValue().toNumber() == 0)
        {
          value = false;
          break;
        }
      }
      *(Variant *)this = value;
    }
};

class FnAND : public Function
{
  public:

    static constexpr const char *NAME = "and";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnAND();
    }

    FnAND(void) : Function(TYPE_NUMBER, 2)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = (integer_t)(*this)[0].getValue().toNumber() & (integer_t)(*this)[1].getValue().toNumber();
    }
};

class FnXOR : public Function
{
  public:

    static constexpr const char *NAME = "xor";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnXOR();
    }

    FnXOR(void) : Function(TYPE_NUMBER, 2)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = (integer_t)(*this)[0].getValue().toNumber() ^ (integer_t)(*this)[1].getValue().toNumber();
    }
};

class FnORS : public Function
{
  public:

    static constexpr const char *NAME = "ors";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnORS();
    }

    FnORS(void) : Function(TYPE_NUMBER, MAXARGS, 2)
    {
    }

    void execute(void) override
    {
      bool value = false;
      for (std::size_t i = 0; i < getArgSize(); ++i)
      {
        if ((*this)[i].getValue().toNumber() != 0)
        {
          value = true;
          break;
        }
      }
      *(Variant *)this = value;
    }
};

class FnOR : public Function
{
  public:

    static constexpr const char *NAME = "or";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnOR();
    }

    FnOR(void) : Function(TYPE_NUMBER, 2)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = (integer_t)(*this)[0].getValue().toNumber() | (integer_t)(*this)[1].getValue().toNumber();
    }
};

class FnTYPEOF : public Function
{
  public:

    static constexpr const char *NAME = "typeof";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnTYPEOF();
    }

    FnTYPEOF(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = (*this)[0].getValue().getType();
    }
};

class FnIF : public Function
{
  public:

    static constexpr const char *NAME = "if";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnIF();
    }

    FnIF(void) : Function(TYPE_RESULT, 3)
    {
    }

    void execute(void) override
    {
      if ((*this)[0].getValue().toNumber())
        (*this)[1].getValue().moveto(*(Variant *)this);
      else
        (*this)[2].getValue().moveto(*(Variant *)this);
    }
};

class FnIFS : public Function
{
  public:

    static constexpr const char *NAME = "ifs";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnIFS();
    }

    FnIFS(void) : Function(TYPE_RESULT, MAXARGS, 2)
    {
    }

    void execute(void) override
    {
      for (std::size_t i = 0; i + 1 < getArgSize(); i += 2)
      {
        if ((*this)[i].getValue().toNumber())
        {
          (*this)[i + 1].getValue().moveto(*(Variant *)this);
          return;
        }
      }
      clear(); /* error */
    }
};

class FnIFERROR : public Function
{
  public:

    static constexpr const char *NAME = "iferror";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnIFERROR();
    }

    FnIFERROR(void) : Function(TYPE_RESULT, 2)
    {
    }

    void execute(void) override
    {
      Variant &value = (*this)[0].getValue();
      if (value.getType() != TYPE_BLANK)
        value.moveto(*(Variant *)this);
      else
        (*this)[1].getValue().moveto(*(Variant *)this);
    }
};

class FnSWITCH : public Function
{
  public:

    static constexpr const char *NAME = "switch";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnSWITCH();
    }

    FnSWITCH(void) : Function(TYPE_RESULT, MAXARGS, 3)
    {
    }

    void execute(void) override
    {
      string_t str;
      integer_t num;
      Variant &value0 = (*this)[0].getValue();
      switch (value0.getType())
      {
        case TYPE_NUMBER:
          num = value0.toNumber();
          for (std::size_t i = 1; i + 1 < getArgSize(); i += 2)
          {
            Variant &value = (*this)[i].getValue();
            if ((value.getType() == TYPE_NUMBER) && (value.toNumber() == num))
            {
              (*this)[i + 1].getValue().moveto(*(Variant *)this);
              return;
            }
          }
          break;
        case TYPE_STRING:
          str = value0.toString();
          for (std::size_t i = 1; i + 1 < getArgSize(); i += 2)
          {
            Variant &value = (*this)[i].getValue();
            if ((value.getType() == TYPE_STRING) && (value.toString() == str))
            {
              (*this)[i + 1].getValue().moveto(*(Variant *)this);
              return;
            }
          }
          break;
        default:
          break;
      }
      clear(); /* error */
    }
};

class FnCHOOSE : public Function
{
  public:

    static constexpr const char *NAME = "choose";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnCHOOSE();
    }

    FnCHOOSE(void) : Function(TYPE_RESULT, MAXARGS, 2)
    {
    }

    void execute(void) override
    {
      std::size_t index = (*this)[0].getValue().toNumber();
      if ((index > 0) && (index < getArgSize()))
        (*this)[index].getValue().moveto(*(Variant *)this);
      else
        clear(); /* error */
    }
};

class FnSEXEC : public Function
{
  public:

    static constexpr const char *NAME = "sexec";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnSEXEC();
    }

    FnSEXEC(void) : Function(TYPE_RESULT, MAXARGS, 2)
    {
    }

    void execute(void) override
    {
      clear();
      std::size_t index = (*this)[0].getValue().toNumber();
      for (std::size_t i = 1; i < getArgSize(); ++i)
      {
        Variant &value = (*this)[i].getValue();
        if (index == i)
          value.moveto(*(Variant *)this);
      }
    }
};

class FnCONCATS : public Function
{
  public:

    static constexpr const char *NAME = "concats";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnCONCATS();
    }

    FnCONCATS(void) : Function(TYPE_STRING, MAXARGS, 0)
    {
    }

    void execute(void) override
    {
      string_t str;
      for (std::size_t i = 0; i < getArgSize(); ++i)
        str += (*this)[i].getValue().toPrint();
      *(Variant *)this = str;
    }
};

class FnLEN : public Function
{
  public:

    static constexpr const char *NAME = "len";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnLEN();
    }

    FnLEN(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = (*this)[0].getValue().toPrint().length();
    }
};

class FnLEFT : public Function
{
  public:

    static constexpr const char *NAME = "left";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnLEFT();
    }

    FnLEFT(void) : Function(TYPE_STRING, 2)
    {
    }

    void execute(void) override
    {
      string_t str = (*this)[0].getValue().toPrint();
      std::size_t len = (*this)[1].getValue().toNumber();
      *(Variant *)this = str.substr(0, len);
    }
};

class FnRIGHT : public Function
{
  public:

    static constexpr const char *NAME = "right";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnRIGHT();
    }

    FnRIGHT(void) : Function(TYPE_STRING, 2)
    {
    }

    void execute(void) override
    {
      string_t str = (*this)[0].getValue().toPrint();
      std::size_t len = (*this)[1].getValue().toNumber();
      *(Variant *)this = str.length() <= len ? str : str.substr(str.length() - len);
    }
};

class FnMID : public Function
{
  public:

    static constexpr const char *NAME = "mid";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnMID();
    }

    FnMID(void) : Function(TYPE_STRING, 3)
    {
    }

    void execute(void) override
    {
      string_t str = (*this)[0].getValue().toPrint();
      std::size_t pos = (*this)[1].getValue().toNumber();
      std::size_t len = (*this)[2].getValue().toNumber();
      *(Variant *)this = str.substr(pos, len);
    }
};

class FnUPPER : public Function
{
  public:

    static constexpr const char *NAME = "upper";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnUPPER();
    }

    FnUPPER(void) : Function(TYPE_STRING, 1)
    {
    }

    void execute(void) override
    {
      string_t str;
      for (auto c: (*this)[0].getValue().toPrint())
        str += std::toupper(c);
      *(Variant *)this = str;
    }
};

class FnLOWER : public Function
{
  public:

    static constexpr const char *NAME = "lower";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnLOWER();
    }

    FnLOWER(void) : Function(TYPE_STRING, 1)
    {
    }

    void execute(void) override
    {
      string_t str;
      for (auto c: (*this)[0].getValue().toPrint())
        str += std::tolower(c);
      *(Variant *)this = str;
    }
};

class FnDATE : public Function
{
  public:

    static constexpr const char *NAME = "date";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnDATE();
    }

    FnDATE(void) : Function(TYPE_STRING, 3)
    {
    }

    void execute(void) override
    {
      struct tm lt;
      time_t now = std::time(nullptr);
      localtime(&now, &lt);
      lt.tm_year = (*this)[0].getValue().toNumber() - 1900;
      lt.tm_mon  = (*this)[1].getValue().toNumber() - 1;
      lt.tm_mday = (*this)[2].getValue().toNumber();
      now = std::mktime(&lt);
      localtime(&now, &lt);
#if _STD_CPP_20 /* C++20 */
      *(Variant *)this = std::format("{:04}-{:02}-{:02}", lt.tm_year + 1900, lt.tm_mon + 1, lt.tm_mday);
#else
      char tmp[16];
      snprintf(tmp, sizeof(tmp), "%04d-%02d-%02d", lt.tm_year + 1900, lt.tm_mon + 1, lt.tm_mday);
      *(Variant *)this = tmp;
#endif
    }
};

class FnTIME : public Function
{
  public:

    static constexpr const char *NAME = "time";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnTIME();
    }

    FnTIME(void) : Function(TYPE_STRING, 3)
    {
    }

    void execute(void) override
    {
      struct tm lt;
      time_t now = std::time(nullptr);
      localtime(&now, &lt);
      lt.tm_hour = (*this)[0].getValue().toNumber();
      lt.tm_min  = (*this)[1].getValue().toNumber();
      lt.tm_sec  = (*this)[2].getValue().toNumber();
      now = std::mktime(&lt);
      localtime(&now, &lt);
#if _STD_CPP_20 /* C++20 */
      *(Variant *)this = std::format("{:02}:{:02}:{:02}", lt.tm_hour, lt.tm_min, lt.tm_sec);
#else
      char tmp[16];
      snprintf(tmp, sizeof(tmp), "%02d:%02d:%02d", lt.tm_hour, lt.tm_min, lt.tm_sec);
      *(Variant *)this = tmp;
#endif
    }
};

class FnTODAY : public Function
{
  public:

    static constexpr const char *NAME = "today";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnTODAY();
    }

    FnTODAY(void) : Function(TYPE_STRING)
    {
    }

    bool isImmutable(void) override
    {
      return false;
    }

    void execute(void) override
    {
      struct tm lt;
      time_t now = std::time(nullptr);
      localtime(&now, &lt);
#if _STD_CPP_20 /* C++20 */
      *(Variant *)this = std::format("{:04}-{:02}-{:02}", lt.tm_year + 1900, lt.tm_mon + 1, lt.tm_mday);
#else
      char tmp[16];
      snprintf(tmp, sizeof(tmp), "%04d-%02d-%02d", lt.tm_year + 1900, lt.tm_mon + 1, lt.tm_mday);
      *(Variant *)this = tmp;
#endif
    }
};

class FnNOW : public Function
{
  public:

    static constexpr const char *NAME = "now";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnNOW();
    }

    FnNOW(void) : Function(TYPE_STRING)
    {
    }

    bool isImmutable(void) override
    {
      return false;
    }

    void execute(void) override
    {
      struct tm lt;
      time_t now = std::time(nullptr);
      localtime(&now, &lt);
#if _STD_CPP_20 /* C++20 */
      *(Variant *)this = std::format("{:02}:{:02}:{:02}", lt.tm_hour, lt.tm_min, lt.tm_sec);
#else
      char tmp[16];
      snprintf(tmp, sizeof(tmp), "%02d:%02d:%02d", lt.tm_hour, lt.tm_min, lt.tm_sec);
      *(Variant *)this = tmp;
#endif
    }
};

class FnYEAR : public Function
{
  public:

    static constexpr const char *NAME = "year";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnYEAR();
    }

    FnYEAR(void) : Function(TYPE_NUMBER)
    {
    }

    bool isImmutable(void) override
    {
      return false;
    }

    void execute(void) override
    {
      struct tm lt;
      time_t now = std::time(nullptr);
      localtime(&now, &lt);
      *(Variant *)this = lt.tm_year + 1900;
    }
};

class FnMONTH : public Function
{
  public:

    static constexpr const char *NAME = "month";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnMONTH();
    }

    FnMONTH(void) : Function(TYPE_NUMBER)
    {
    }

    bool isImmutable(void) override
    {
      return false;
    }

    void execute(void) override
    {
      struct tm lt;
      time_t now = std::time(nullptr);
      localtime(&now, &lt);
      *(Variant *)this = lt.tm_mon + 1;
    }
};

class FnDAY : public Function
{
  public:

    static constexpr const char *NAME = "day";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnDAY();
    }

    FnDAY(void) : Function(TYPE_NUMBER)
    {
    }

    bool isImmutable(void) override
    {
      return false;
    }

    void execute(void) override
    {
      struct tm lt;
      time_t now = std::time(nullptr);
      localtime(&now, &lt);
      *(Variant *)this = lt.tm_mday;
    }
};

class FnWEEK : public Function
{
  public:

    static constexpr const char *NAME = "week";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnWEEK();
    }

    FnWEEK(void) : Function(TYPE_NUMBER)
    {
    }

    bool isImmutable(void) override
    {
      return false;
    }

    void execute(void) override
    {
      struct tm lt;
      time_t now = std::time(nullptr);
      localtime(&now, &lt);
      *(Variant *)this = lt.tm_wday;
    }
};

class FnHOUR : public Function
{
  public:

    static constexpr const char *NAME = "hour";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnHOUR();
    }

    FnHOUR(void) : Function(TYPE_NUMBER)
    {
    }

    bool isImmutable(void) override
    {
      return false;
    }

    void execute(void) override
    {
      struct tm lt;
      time_t now = std::time(nullptr);
      localtime(&now, &lt);
      *(Variant *)this = lt.tm_hour;
    }
};

class FnMINUTE : public Function
{
  public:

    static constexpr const char *NAME = "minute";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnMINUTE();
    }

    FnMINUTE(void) : Function(TYPE_NUMBER)
    {
    }

    bool isImmutable(void) override
    {
      return false;
    }

    void execute(void) override
    {
      struct tm lt;
      time_t now = std::time(nullptr);
      localtime(&now, &lt);
      *(Variant *)this = lt.tm_min;
    }
};

class FnSECOND : public Function
{
  public:

    static constexpr const char *NAME = "second";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnSECOND();
    }

    FnSECOND(void) : Function(TYPE_NUMBER)
    {
    }

    bool isImmutable(void) override
    {
      return false;
    }

    void execute(void) override
    {
      struct tm lt;
      time_t now = std::time(nullptr);
      localtime(&now, &lt);
      *(Variant *)this = lt.tm_sec;
    }
};

class FnMIN : public Function
{
  public:

    static constexpr const char *NAME = "min";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnMIN();
    }

    FnMIN(void) : Function(TYPE_NUMBER, 2)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::fmin((*this)[0].getValue().toNumber(), (*this)[1].getValue().toNumber());
    }
};

class FnMAX : public Function
{
  public:

    static constexpr const char *NAME = "max";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnMAX();
    }

    FnMAX(void) : Function(TYPE_NUMBER, 2)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::fmax((*this)[0].getValue().toNumber(), (*this)[1].getValue().toNumber());
    }
};

class FnFMOD : public Function
{
  public:

    static constexpr const char *NAME = "fmod";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnFMOD();
    }

    FnFMOD(void) : Function(TYPE_NUMBER, 2)
    {
    }

    void execute(void) override
    {
      number_t num = (*this)[1].getValue().toNumber();
      if (num)
        *(Variant *)this = std::fmod((*this)[0].getValue().toNumber(), num);
      else
        clear();
    }
};

class FnMODF : public Function
{
  public:

    static constexpr const char *NAME = "modf";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnMODF();
    }

    FnMODF(void) : Function(TYPE_NUMBER, 2, 1)
    {
    }

    void execute(void) override
    {
      number_t ipart, fpart = std::modf((*this)[0].getValue().toNumber(), &ipart);
      *(Variant *)this = (*this)[1].getValue().toNumber() ? ipart : fpart;
    }
};

class FnCEIL: public Function
{
  public:

    static constexpr const char *NAME = "ceil";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnCEIL();
    }

    FnCEIL(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::ceil((*this)[0].getValue().toNumber());
    }
};

class FnFLOOR : public Function
{
  public:

    static constexpr const char *NAME = "floor";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnFLOOR();
    }

    FnFLOOR(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::floor((*this)[0].getValue().toNumber());
    }
};

class FnROUND : public Function
{
  public:

    static constexpr const char *NAME = "round";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnROUND();
    }

    FnROUND(void) : Function(TYPE_NUMBER, 2, 1)
    {
    }

    void execute(void) override
    {
      number_t num = (*this)[0].getValue().toNumber();
      number_t pos = std::pow(10, (*this)[1].getValue().toNumber());
      *(Variant *)this = std::round(num * pos) / pos;
    }
};

class FnPOW : public Function
{
  public:

    static constexpr const char *NAME = "pow";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnPOW();
    }

    FnPOW(void) : Function(TYPE_NUMBER, 2)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::pow((*this)[0].getValue().toNumber(), (*this)[1].getValue().toNumber());
    }
};

class FnSQRT: public Function
{
  public:

    static constexpr const char *NAME = "sqrt";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnSQRT();
    }

    FnSQRT(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::sqrt((*this)[0].getValue().toNumber());
    }
};

class FnLOG : public Function
{
  public:

    static constexpr const char *NAME = "log";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnLOG();
    }

    FnLOG(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::log((*this)[0].getValue().toNumber());
    }
};

class FnLOG1P : public Function
{
  public:

    static constexpr const char *NAME = "log1p";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnLOG1P();
    }

    FnLOG1P(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::log1p((*this)[0].getValue().toNumber());
    }
};

class FnLOG2 : public Function
{
  public:

    static constexpr const char *NAME = "log2";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnLOG2();
    }

    FnLOG2(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::log2((*this)[0].getValue().toNumber());
    }
};

class FnLOG10 : public Function
{
  public:

    static constexpr const char *NAME = "log10";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnLOG10();
    }

    FnLOG10(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::log10((*this)[0].getValue().toNumber());
    }
};

class FnLOGB : public Function
{
  public:

    static constexpr const char *NAME = "logb";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnLOGB();
    }

    FnLOGB(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::logb((*this)[0].getValue().toNumber());
    }
};

class FnEXP : public Function
{
  public:

    static constexpr const char *NAME = "exp";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnEXP();
    }

    FnEXP(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::exp((*this)[0].getValue().toNumber());
    }
};

class FnSIN : public Function
{
  public:

    static constexpr const char *NAME = "sin";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnSIN();
    }

    FnSIN(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::sin((*this)[0].getValue().toNumber());
    }
};

class FnCOS : public Function
{
  public:

    static constexpr const char *NAME = "cos";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnCOS();
    }

    FnCOS(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::cos((*this)[0].getValue().toNumber());
    }
};

class FnTAN : public Function
{
  public:

    static constexpr const char *NAME = "tan";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnTAN();
    }

    FnTAN(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::tan((*this)[0].getValue().toNumber());
    }
};

class FnSINH : public Function
{
  public:

    static constexpr const char *NAME = "sinh";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnSINH();
    }

    FnSINH(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::sinh((*this)[0].getValue().toNumber());
    }
};

class FnCOSH : public Function
{
  public:

    static constexpr const char *NAME = "cosh";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnCOSH();
    }

    FnCOSH(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::cosh((*this)[0].getValue().toNumber());
    }
};

class FnTANH : public Function
{
  public:

    static constexpr const char *NAME = "tanh";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnTANH();
    }

    FnTANH(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::tanh((*this)[0].getValue().toNumber());
    }
};

class FnASIN : public Function
{
  public:

    static constexpr const char *NAME = "asin";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnASIN();
    }

    FnASIN(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::asin((*this)[0].getValue().toNumber());
    }
};

class FnACOS : public Function
{
  public:

    static constexpr const char *NAME = "acos";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnACOS();
    }

    FnACOS(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::acos((*this)[0].getValue().toNumber());
    }
};

class FnATAN : public Function
{
  public:

    static constexpr const char *NAME = "atan";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnATAN();
    }

    FnATAN(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::atan((*this)[0].getValue().toNumber());
    }
};

class FnATAN2 : public Function
{
  public:

    static constexpr const char *NAME = "atan2";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnATAN2();
    }

    FnATAN2(void) : Function(TYPE_NUMBER, 2)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::atan2((*this)[0].getValue().toNumber(), (*this)[1].getValue().toNumber());
    }
};

class FnASINH : public Function
{
  public:

    static constexpr const char *NAME = "asinh";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnASINH();
    }

    FnASINH(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::asinh((*this)[0].getValue().toNumber());
    }
};

class FnACOSH : public Function
{
  public:

    static constexpr const char *NAME = "acosh";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnACOSH();
    }

    FnACOSH(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::acosh((*this)[0].getValue().toNumber());
    }
};

class FnATANH : public Function
{
  public:

    static constexpr const char *NAME = "atanh";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnATANH();
    }

    FnATANH(void) : Function(TYPE_NUMBER, 1)
    {
    }

    void execute(void) override
    {
      *(Variant *)this = std::atanh((*this)[0].getValue().toNumber());
    }
};

class FnCALL : public Function
{
  public:

    static constexpr const char *NAME = "call";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnCALL();
    }

    FnCALL(void) : Function(TYPE_RESULT, MAXARGS, 1)
    {
    }

    void execute(void) override;
};

class FnGET : public Function
{
  public:

    static constexpr const char *NAME = "get";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnGET();
    }

    FnGET(void) : Function(TYPE_STRING, 1)
    {
    }

    bool isImmutable(void) override
    {
      return false;
    }

    void execute(void) override;
};

class FnSET : public Function
{
  public:

    static constexpr const char *NAME = "set";

    const char *getName(void) override
    {
      return NAME;
    }

    static Function *instanceof(void)
    {
      return new FnSET();
    }

    FnSET(void) : Function(TYPE_STRING, 2)
    {
    }

    bool isImmutable(void) override
    {
      return false;
    }

    void execute(void) override;
};

class Parser
{
  private:

    static constexpr std::size_t OP1   = 0x8000;
    static constexpr std::size_t OP2   = 0x4000;
    static constexpr std::size_t OP3   = 0x2000;
    static constexpr std::size_t OPMSK = 0x0FFF;

    static constexpr const char *LPAR  = "(";
    static constexpr const char *COMMA = ",";
    static constexpr const char *RPAR  = ")";

    typedef struct
    {
      const char *name;
      std::size_t priority;
      Function *(*factory)(void);
      const char *symbol;
    } operator_t;

    static constexpr operator_t FUNCTIONS[] = {
      { LPAR, 2, FnGET::instanceof    , FnGET::NAME     }, /* get symbol */
      { LPAR, 2, FnSET::instanceof    , FnSET::NAME     }, /* set symbol */
      { LPAR, 2, FnCALL::instanceof   , FnCALL::NAME    },
      { LPAR, 2, FnCOM::instanceof    , FnCOM::NAME     },
      { LPAR, 2, FnNOT::instanceof    , FnNOT::NAME     },
      { LPAR, 2, FnABS::instanceof    , FnABS::NAME     },
      { LPAR, 2, FnPOS::instanceof    , FnPOS::NAME     },
      { LPAR, 2, FnNEG::instanceof    , FnNEG::NAME     },
      { LPAR, 2, FnMUL::instanceof    , FnMUL::NAME     },
      { LPAR, 2, FnDIV::instanceof    , FnDIV::NAME     },
      { LPAR, 2, FnMOD::instanceof    , FnMOD::NAME     },
      { LPAR, 2, FnADD::instanceof    , FnADD::NAME     },
      { LPAR, 2, FnSUB::instanceof    , FnSUB::NAME     },
      { LPAR, 2, FnSHL::instanceof    , FnSHL::NAME     },
      { LPAR, 2, FnSHR::instanceof    , FnSHR::NAME     },
      { LPAR, 2, FnLE::instanceof     , FnLE::NAME      },
      { LPAR, 2, FnGE::instanceof     , FnGE::NAME      },
      { LPAR, 2, FnLT::instanceof     , FnLT::NAME      },
      { LPAR, 2, FnGT::instanceof     , FnGT::NAME      },
      { LPAR, 2, FnNE::instanceof     , FnNE::NAME      },
      { LPAR, 2, FnEQ::instanceof     , FnEQ::NAME      },
      { LPAR, 2, FnANDS::instanceof   , FnANDS::NAME    },
      { LPAR, 2, FnAND::instanceof    , FnAND::NAME     },
      { LPAR, 2, FnXOR::instanceof    , FnXOR::NAME     },
      { LPAR, 2, FnORS::instanceof    , FnORS::NAME     },
      { LPAR, 2, FnOR::instanceof     , FnOR::NAME      },
      { LPAR, 2, FnTYPEOF::instanceof , FnTYPEOF::NAME  },
      { LPAR, 2, FnIF::instanceof     , FnIF::NAME      },
      { LPAR, 2, FnIFS::instanceof    , FnIFS::NAME     },
      { LPAR, 2, FnIFERROR::instanceof, FnIFERROR::NAME },
      { LPAR, 2, FnSWITCH::instanceof , FnSWITCH::NAME  },
      { LPAR, 2, FnCHOOSE::instanceof , FnCHOOSE::NAME  },
      { LPAR, 2, FnSEXEC::instanceof  , FnSEXEC::NAME   },
      { LPAR, 2, FnCONCATS::instanceof, FnCONCATS::NAME },
      { LPAR, 2, FnLEN::instanceof    , FnLEN::NAME     },
      { LPAR, 2, FnLEFT::instanceof   , FnLEFT::NAME    },
      { LPAR, 2, FnRIGHT::instanceof  , FnRIGHT::NAME   },
      { LPAR, 2, FnMID::instanceof    , FnMID::NAME     },
      { LPAR, 2, FnUPPER::instanceof  , FnUPPER::NAME   },
      { LPAR, 2, FnLOWER::instanceof  , FnLOWER::NAME   },
      { LPAR, 2, FnDATE::instanceof   , FnDATE::NAME    },
      { LPAR, 2, FnTIME::instanceof   , FnTIME::NAME    },
      { LPAR, 2, FnTODAY::instanceof  , FnTODAY::NAME   },
      { LPAR, 2, FnNOW::instanceof    , FnNOW::NAME     },
      { LPAR, 2, FnYEAR::instanceof   , FnYEAR::NAME    },
      { LPAR, 2, FnMONTH::instanceof  , FnMONTH::NAME   },
      { LPAR, 2, FnDAY::instanceof    , FnDAY::NAME     },
      { LPAR, 2, FnWEEK::instanceof   , FnWEEK::NAME    },
      { LPAR, 2, FnHOUR::instanceof   , FnHOUR::NAME    },
      { LPAR, 2, FnMINUTE::instanceof , FnMINUTE::NAME  },
      { LPAR, 2, FnSECOND::instanceof , FnSECOND::NAME  },
      { LPAR, 2, FnMIN::instanceof    , FnMIN::NAME     },
      { LPAR, 2, FnMAX::instanceof    , FnMAX::NAME     },
      { LPAR, 2, FnFMOD::instanceof   , FnFMOD::NAME    },
      { LPAR, 2, FnMODF::instanceof   , FnMODF::NAME    },
      { LPAR, 2, FnCEIL::instanceof   , FnCEIL::NAME    },
      { LPAR, 2, FnFLOOR::instanceof  , FnFLOOR::NAME   },
      { LPAR, 2, FnROUND::instanceof  , FnROUND::NAME   },
      { LPAR, 2, FnPOW::instanceof    , FnPOW::NAME     },
      { LPAR, 2, FnSQRT::instanceof   , FnSQRT::NAME    },
      { LPAR, 2, FnLOG::instanceof    , FnLOG::NAME     },
      { LPAR, 2, FnLOG1P::instanceof  , FnLOG1P::NAME   },
      { LPAR, 2, FnLOG2::instanceof   , FnLOG2::NAME    },
      { LPAR, 2, FnLOG10::instanceof  , FnLOG10::NAME   },
      { LPAR, 2, FnLOGB::instanceof   , FnLOGB::NAME    },
      { LPAR, 2, FnEXP::instanceof    , FnEXP::NAME     },
      { LPAR, 2, FnSIN::instanceof    , FnSIN::NAME     },
      { LPAR, 2, FnCOS::instanceof    , FnCOS::NAME     },
      { LPAR, 2, FnTAN::instanceof    , FnTAN::NAME     },
      { LPAR, 2, FnSINH::instanceof   , FnSINH::NAME    },
      { LPAR, 2, FnCOSH::instanceof   , FnCOSH::NAME    },
      { LPAR, 2, FnTANH::instanceof   , FnTANH::NAME    },
      { LPAR, 2, FnASIN::instanceof   , FnASIN::NAME    },
      { LPAR, 2, FnACOS::instanceof   , FnACOS::NAME    },
      { LPAR, 2, FnATAN::instanceof   , FnATAN::NAME    },
      { LPAR, 2, FnATAN2::instanceof  , FnATAN2::NAME   },
      { LPAR, 2, FnASINH::instanceof  , FnASINH::NAME   },
      { LPAR, 2, FnACOSH::instanceof  , FnACOSH::NAME   },
      { LPAR, 2, FnATANH::instanceof  , FnATANH::NAME   },
    };

    static constexpr operator_t OPERATORS[] = {
      { "<<=", OP1 | OP2 | OP3 },
      { ">>=", OP1 | OP2 | OP3 },
      { "->" , OP1 | OP2 | OP3 },
      { "++" , OP1 | OP2 | OP3 },
      { "--" , OP1 | OP2 | OP3 },
      { "+=" , OP1 | OP2 | OP3 },
      { "-=" , OP1 | OP2 | OP3 },
      { "*=" , OP1 | OP2 | OP3 },
      { "/=" , OP1 | OP2 | OP3 },
      { "%=" , OP1 | OP2 | OP3 },
      { "&=" , OP1 | OP2 | OP3 },
      { "^=" , OP1 | OP2 | OP3 },
      { "|=" , OP1 | OP2 | OP3 },
      { "."  , OP1 | OP2 | OP3 },
      { "["  , OP1 | OP2 | OP3 },
      { "]"  , OP1 | OP2 | OP3 },
      { LPAR ,   2 | OP1 | OP3 },
      { "~"  ,   4 | OP1, FnCOM::instanceof  },
      { "!"  ,   4 | OP1, FnNOT::instanceof  },
      { "+"  ,   4 | OP1, FnPOS::instanceof  },
      { "-"  ,   4 | OP1, FnNEG::instanceof  },
      { "*"  ,   8 | OP2, FnMUL::instanceof  },
      { "/"  ,   8 | OP2, FnDIV::instanceof  },
      { "%"  ,   8 | OP2, FnMOD::instanceof  },
      { "+"  ,  10 | OP2, FnADD::instanceof  },
      { "-"  ,  10 | OP2, FnSUB::instanceof  },
      { "<<" ,  12 | OP2, FnSHL::instanceof  },
      { ">>" ,  12 | OP2, FnSHR::instanceof  },
      { "<=" ,  14 | OP2, FnLE::instanceof   },
      { ">=" ,  14 | OP2, FnGE::instanceof   },
      { "<"  ,  14 | OP2, FnLT::instanceof   },
      { ">"  ,  14 | OP2, FnGT::instanceof   },
      { "!=" ,  16 | OP2, FnNE::instanceof   },
      { "==" ,  16 | OP2, FnEQ::instanceof   },
      { "&&" ,  24 | OP2, FnANDS::instanceof },
      { "&"  ,  18 | OP2, FnAND::instanceof  },
      { "^"  ,  20 | OP2, FnXOR::instanceof  },
      { "||" ,  24 | OP2, FnORS::instanceof  },
      { "|"  ,  22 | OP2, FnOR::instanceof   },
      { "?"  , OP1 | OP2 | OP3 },
      { ":"  , OP1 | OP2 | OP3 },
      { COMMA,  32 | OP2 | OP3 },
      { RPAR ,  98 | OP2 | OP3 },
      { "="  , OP1 | OP2 | OP3 },
    };

    static constexpr operator_t TERM = { ";", 98 };

    static constexpr std::size_t ADD_OPERAND = 0x8000;

    Formula                     *_formula;
    string_t                     _symbol;
    std::vector<operator_t>      _operators;
    std::vector<Variant>         _output;
    std::vector<std::size_t>     _argcount;

    /* Reverse Polish notation (RPN) */

    void addOperand(void)
    {
      Variant blank;
      addOperand(blank);
    }

    void addOperand(const string_t &name)
    {
      Function *func = new FnGET();
      func->setFormula(_formula);
      (*func)[0] = name;
      addOperand(*func);
    }

    bool addOperand(const operator_t &op, std::size_t args)
    {
      Function *func = op.factory();
      func->setFormula(_formula);
      if ((args > _output.size()) || (args < func->getMinArgs()) || (args > func->getMaxArgs()))
      {
        delete func;
        return false;
      }
      std::size_t index = _output.size() - args;
      for (std::size_t i = 0; i < args; ++i)
        (*func)[i] = _output[index + i];
      for (std::size_t i = 0; i < args; ++i)
      {
        _output.back().clear();
        _output.pop_back();
      }
      addOperand(func);
      return true;
    }

    void addOperand(Function *func)
    {
      if (func->isImmutable())
      {
        Variant value;
        func->getValue().moveto(value);
        addOperand(value);
      }
      else
        addOperand(*func);
    }

    void addOperand(const Variant &value)
    {
      for (auto &arg: _argcount)
        arg |= ADD_OPERAND;
      _output.push_back(value);
    }

    bool addOperator(operator_t token)
    {
      while (!_operators.empty() && ((_operators.back().priority & OPMSK) < (token.priority & OPMSK)))
      {
        const operator_t op = _operators.back();
        _operators.pop_back();
        if (!op.factory)
          return strcmp(token.name, TERM.name) == 0;
        if (!addOperand(op, op.priority & OP1 ? 1 : 2))
          return false;
      }
      if (strcmp(token.name, LPAR) == 0)
      {
        token.priority = 98;
        _argcount.push_back(0);
      }
      else if (strcmp(token.name, COMMA) == 0)
      {
        if (_operators.empty() || (strcmp(_operators.back().name, LPAR) != 0))
          return false;
        std::size_t args = _argcount.back();
        if ((args & ADD_OPERAND) == 0)
          addOperand();
        _argcount.back() = (args & ~ADD_OPERAND) + 1;
        return true;
      }
      else if (strcmp(token.name, RPAR) == 0)
      {
        if (_operators.empty() || (strcmp(_operators.back().name, LPAR) != 0))
          return false;
        std::size_t args = _argcount.back();
        _argcount.pop_back();
        if (args & ADD_OPERAND)
          args = (args & ~ADD_OPERAND) + 1;
        else if (args)
        {
          ++args;
          addOperand();
        }
        const operator_t op = _operators.back();
        _operators.pop_back();
        if (!op.factory)
          return args == 1;
        return addOperand(op, args);
      }
      else if (token.factory)
      {
        if (token.priority & OP2)
          --token.priority;
      }
      else
        return strcmp(token.name, TERM.name) == 0;
      _operators.push_back(token);
      return true;
    }

  public:

    Parser(Formula *formula = nullptr)
    {
      _formula = formula;
    }

    virtual ~Parser(void)
    {
      clear();
    }

    void clear(void)
    {
      for (auto &value: _output)
        value.free();
      _output.clear();
      _operators.clear();
      _symbol.clear();
      _argcount.clear();
    }

    std::size_t parse(Variant &result, const string_t &expr)
    {
      Variant value;
      std::size_t curpos;
      int state = OP1;
      clear();
      result.free();
      for (std::size_t pos = curpos = 0; pos < expr.length(); )
      {
        char c = expr[pos];
        curpos = pos + 1;
        if (std::isspace(c))
        {
          ++pos;
          continue;
        }
        string_t token;
        if (std::isdigit(c))
        {
          if ((state & OP1) == 0)
            return curpos;
          value = Variant::toNumber(expr, pos);
          addOperand(value);
          state = OP2;
        }
        else if ((c == '"') || (c == '\''))
        {
          if ((state & OP1) == 0)
            return curpos;
          bool esc = false;
          char eoc = c;
          c = expr[++pos];
          while ((c != eoc) || esc)
          {
            if ((c == '\\') && !esc)
              esc = true;
            else
            {
              esc = false;
              token += c;
            }
            c = expr[++pos];
          }
          ++pos;
          value = token;
          addOperand(value);
          state = OP2;
        }
        else if (__iscsymf(c) || (c == '$'))
        {
          if ((state & OP1) == 0)
            return curpos;
          do
          {
            _symbol += c;
            c = expr[++pos];
            if (_symbol.back() != '.')
            {
              if (c == '[')
              {
                do
                {
                  _symbol += c;
                  c = expr[++pos];
                }
                while (isdigit(c));
                if (c == ']')
                {
                  _symbol += c;
                  c = expr[++pos];
                }
              }
              if (c == '.')
              {
                _symbol += c;
                c = expr[++pos];
              }
            }
          }
          while (__iscsym(c));
          state = OP2 | OP3;
        }
        else
        {
          const char *str = expr.c_str() + pos;
          int priority = 0;
          for (auto &op: OPERATORS)
          {
            std::size_t len = strlen(op.name);
            if ((strncmp(op.name, str, len) == 0) && (state & op.priority))
            {
              token = op.name;
              pos += len;
              priority = op.priority & OPMSK;
              if (priority)
              {
                if (_symbol.length() == 0)
                {
                  if (!addOperator(op))
                    return curpos;
                }
                else if (strcmp(op.name, LPAR) == 0)
                {
                  for (auto &func: FUNCTIONS)
                  {
                    if (func.symbol == _symbol)
                    {
                      if (addOperator(func))
                        _symbol.clear();
                      break;
                    }
                  }
                  if (_symbol.length())
                    return curpos;
                }
                else
                {
                  addOperand(_symbol);
                  if (!addOperator(op))
                    return curpos;
                }
              }
              break;
            }
          }
          if (priority == 0)
            return curpos;
          _symbol.clear();
          if ((token == LPAR) || (token == COMMA))
            state = OP1 | OP3;
          else if (token == RPAR)
            state = OP2;
          else
            state = OP1;
        }
      }
      if ((state & OP2) == 0)
        return curpos;
      if (_symbol.length())
        addOperand(_symbol);
      ++curpos;
      if (!addOperator(TERM))
        return curpos;
      if (_output.size() != 1)
        return curpos;
      _output[0].moveto(result);
      return 0;
    }
};

class Formula
{
  public:

    Formula(resolver_t resolver = nullptr) : _resolver(resolver)
    {
      for (auto &def: MATH_DEFINES)
        setNameValue(def.name, def.value);
    }

    virtual ~Formula(void)
    {
      _result.free();
    }

    const string_t getNameValue(const string_t &name)
    {
      return _namevalue.count(name) ? _namevalue[name] : _resolver ? _resolver(name) : "";
    }

    void setNameValue(const string_t &name, const string_t &value)
    {
      _namevalue[name] = value;
    }

    std::size_t parse(const string_t &expr)
    {
      Parser parser(this);
      return parser.parse(_result, expr);
    }

    Variant &getResult(void)
    {
      return _result;
    }

  private:

    static constexpr struct {
      const char *name;
      const char *value;
    } MATH_DEFINES[] = {
      { "M_E"       , "2.7182818284590452354"  },
      { "M_LOG2E"   , "1.4426950408889634074"  },
      { "M_LOG10E"  , "0.43429448190325182765" },
      { "M_LN2"     , "0.69314718055994530942" },
      { "M_LN10"    , "2.30258509299404568402" },
      { "M_PI"      , "3.14159265358979323846" },
      { "M_PI_2"    , "1.57079632679489661923" },
      { "M_PI_4"    , "0.78539816339744830962" },
      { "M_1_PI"    , "0.31830988618379067154" },
      { "M_2_PI"    , "0.63661977236758134308" },
      { "M_2_SQRTPI", "1.12837916709551257390" },
      { "M_SQRT2"   , "1.41421356237309504880" },
      { "M_SQRT1_2" , "0.70710678118654752440" },
    };

    resolver_t                   _resolver;
    std::map<string_t, string_t> _namevalue;
    Variant                      _result;
};

inline void FnCALL::execute(void)
{
  Variant result;
  Parser  parser(getFormula());
  for (std::size_t i = 1; i < getArgSize(); ++i)
    getFormula()->setNameValue("$" + std::to_string(i), (*this)[i].getValue().toString());
  if (parser.parse(result, (*this)[0].getValue().toString()) == 0)
    result.moveto(*(Variant *)this);
  else
    clear();
}

inline void FnGET::execute(void)
{
  *(Variant *)this = getFormula()->getNameValue((*this)[0].getValue().toString());
}

inline void FnSET::execute(void)
{
  string_t name  = (*this)[0].getValue().toString();
  string_t value = (*this)[1].getValue().toString();
  getFormula()->setNameValue(name, value);
  *(Variant *)this = value;
}

}

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formula.h - Calculation Formula Library

This program is free software: you can redistribute it and/or

modify it under the terms of the GNU General Public License as

published by the Free Software Foundation, either version 3 of

the License, or at your option) any later version.

This program is distributed in the hope that it will be useful,

but WITHOUT ANY WARRANTY; without even the implied warranty of

MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.

See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License

along with this program. If not, see <https://www.gnu.org/licenses/>.

#pragma once

#define _STD_CPP_20 (__cplusplus >= 202000L)

#include <stdio.h>

#include <string.h>

#include <cstdint>

#include <string>

#include <cctype>

#include <cmath>

#include <vector>

#include <variant>

#include <ctime>

#include <map>

#include <functional>

#if _STD_CPP_20 /* C++20 */

#include <format>

#endif

#if !defined(__iscsymf)

#define __iscsymf(c) (((c) == '_') || isalpha(c))

#endif

#if !defined(__iscsym)

#define __iscsym(c) (((c) == '_') || isalnum(c))

#endif

#define __NUMBER_FORMAT__ "%.*Lg"

#if __LDBL_DIG__

#define __NUMBER_DIG__ __LDBL_DIG__

#else

#define __NUMBER_DIG__ 18

#endif

namespace calculation

{

class Variant;

class Function;

class Formula;

typedef std::monostate blank_t;

typedef Variant * funcptr_t;

typedef std::string string_t;

typedef long double number_t;

typedef std::intmax_t integer_t;

typedef std::function<const string_t(const string_t&)> resolver_t;

class Variant

{

public:

typedef enum

{

TYPE_BLANK,

TYPE_FUNCPTR,

TYPE_STRING,

TYPE_NUMBER,

TYPE_RESULT,

} TYPE;

Variant(void)

{

clear();

}

Variant(const string_t value)

{

(*this) = value;

}

Variant(const number_t value)

{

(*this) = value;

}

Variant(const Variant &source)

{

(*this) = source;

}

virtual ~Variant(void)

{

}

virtual void free(void)

{

if (index() == TYPE_FUNCPTR)

std::get<funcptr_t>(_value)->free();

clear();

}

void clear(void)

{

_value = blank_t {};

}

void operator=(const string_t value)

{

_value = value;

}

void operator=(const number_t value)

{

_value = value;

}

void operator=(const Variant &value)

{

Function *func = ((Variant &)value).getFuncPtr();

if (func)

_value = (funcptr_t)func; /* value is function. */

else

_value = value._value;

}

void moveto(Variant &value)

{

value._value = _value;

if (index() == TYPE_FUNCPTR)

clear();

}

virtual TYPE getType(void)

{

std::size_t t = index();

return (TYPE)(t == TYPE_FUNCPTR ? std::get<funcptr_t>(_value)->getType() : t);

}

virtual Variant &getValue(void)

{

return index() == TYPE_FUNCPTR ? std::get<funcptr_t>(_value)->getValue() : *this;

}

#pragma GCC diagnostic push

#pragma GCC diagnostic ignored "-Wmaybe-uninitialized"

virtual Function *getFuncPtr(void)

{

return index() == TYPE_FUNCPTR ? std::get<funcptr_t>(_value)->getFuncPtr() : nullptr;

}

#pragma GCC diagnostic pop

virtual bool isImmutable(void)

{

return index() == TYPE_FUNCPTR ? std::get<funcptr_t>(_value)->isImmutable() : true;

}

const string_t toPrint(void)

{

switch (index())

{

case TYPE_STRING:

return std::get<string_t>(_value);

case TYPE_NUMBER:

return toPrint(std::get<number_t>(_value));

default:

break;

}

return "";

}

const string_t toString(void)

{

switch (index())

{

case TYPE_STRING:

return std::get<string_t>(_value);

case TYPE_NUMBER:

return toString(std::get<number_t>(_value));

default:

break;

}

return "";

}

number_t toNumber(void)

{

switch (index())

{

case TYPE_STRING:

return toNumber(std::get<string_t>(_value));

case TYPE_NUMBER:

return std::get<number_t>(_value);

default:

break;

}

return 0;

}

static string_t toPrint(number_t num)

{

string_t str = std::to_string(num);

if (str.find('.') != std::string::npos)

{

for (std::size_t i = str.size(); i > 0; )

{

char c = str[--i];

if (c != '0')

return str.substr(0, c == '.' ? i : i + 1);

}

return str;

}

static string_t toString(number_t num)

{

char buf[64];

snprintf(buf, sizeof(buf), __NUMBER_FORMAT__, __NUMBER_DIG__ + 1, num);

return buf;

}

static number_t toNumber(const string_t &str)

{

std::size_t pos = 0;

return toNumber(str, pos);

}

static number_t toNumber(const string_t &str, std::size_t &pos)

{

number_t rv = 0;

string_t num;

char c;

while (std::isspace((c = str[pos])))

++pos;

if ((c == '-') || (c == '+'))

{

if (c == '-')

num += c;

++pos;

}

while (std::isspace((c = str[pos])))

++pos;

if (std::isdigit(c))

{

char c2 = std::tolower(str[pos + 1]);

if ((c == '0') && (c2 == 'x'))

{

c = str[pos += 2];

while (std::isxdigit(c))

{

num += c;

c = str[++pos];

}

rv = std::stoll(num, nullptr, 16);

}

else if ((c == '0') && (c2 == 'b'))

{

c = str[pos += 2];

while ((c >= '0') && (c <= '1'))

{

num += c;

c = str[++pos];

}

rv = std::stoll(num, nullptr, 2);

}

else if ((c == '0') && (c2 >= '0') && (c2 <= '7'))

{

num += c;

c = str[++pos];

}

while ((c >= '0') && (c <= '7'));

rv = std::stoll(num, nullptr, 8);

}

else

{

num += c;

c = str[++pos];

}

while (std::isdigit(c));

if (c == '.')

{

num += c;

c = str[++pos];

}

while (std::isdigit(c));

}

if (tolower(c) == 'e')

{

num += c;

c = str[++pos];

if ((c == '-') || (c == '+'))

{

num += c;

c = str[++pos];

}

while (std::isdigit(c))

{

num += c;

c = str[++pos];

}

rv = std::stod(num);

}

return rv;

}

void dump(size_t indent = 0)

{

for(size_t i = 0; i < indent; ++i)

printf(" ");

dumpname();

Variant *func = (Variant *)getFuncPtr();

(func ? func : this)->dumpfunc(indent);

}

virtual void dumpname(void)

{

switch (index())

{

case Variant::TYPE_BLANK: printf("{BLANK}"); break;

case Variant::TYPE_FUNCPTR: ((Variant *)getFuncPtr())->dumpname(); break;

case Variant::TYPE_STRING: printf("\"%s\"", toString().c_str()); break;

case Variant::TYPE_NUMBER: printf("%s" , toString().c_str()); break;

}

virtual void dumpfunc(size_t indent)

{

printf("\n");

}

private:

virtual std::size_t index(void)

{

return _value.index();

}

std::variant<blank_t, funcptr_t, string_t, number_t> _value;

};

class Function : public Variant

{

public:

Function(TYPE type, std::size_t maxargs = 0)

: Function(type, maxargs, maxargs)

{

}

Function(TYPE type, std::size_t maxargs, std::size_t minargs)

: _type(type), _maxargs(maxargs), _minargs(minargs)

{

}

virtual ~Function(void)

{

for (auto &arg: _arguments)

arg.free();

_arguments.clear();

}

void free(void) override

{

delete this;

}

void setFormula(Formula *formula)

{

_formula = formula;

}

Formula *getFormula(void)

{

return _formula;

}

std::size_t getMinArgs(void)

{

return _minargs;

}

std::size_t getMaxArgs(void)

{

return _maxargs;

}

std::size_t getArgSize(void)

{

return _arguments.size();

}

Variant &operator[](std::size_t index)

{

Variant blank;

while (_arguments.size() <= index)

_arguments.push_back(blank);

return _arguments[index];

}

TYPE getType(void) override

{

return _type == TYPE_RESULT ? Variant::getType() : _type;

}

Variant &getValue(void) override

{

execute();

return *this;

}

Function *getFuncPtr(void) override

{

return this;

}

virtual bool isImmutable(void) override

{

for (auto &arg: _arguments)

{

if (!arg.isImmutable())

return false;

}

return true;

}

virtual const char *getName(void) = 0;

virtual void execute(void) = 0;

void dumpname(void) override

{

printf("%p_%s", this, getName());

}

void dumpfunc(size_t indent) override

{

const char *fmt = "";

printf("(");

for (auto &arg: _arguments)

{

printf(fmt);

fmt = ", ";

arg.dumpname();

}

printf(")\n");

for (auto &arg: _arguments)

{

if (arg.getFuncPtr())

arg.dump(indent + 2);

}

protected:

static void localtime(time_t *time, struct tm *tmbuf)

{

#ifdef _POSIX_THREAD_SAFE_FUNCTIONS

localtime_r(time, tmbuf);

#else

*tmbuf = *std::localtime(time);

#endif

}

static constexpr std::size_t MAXARGS = 256;

private:

Formula *_formula;

TYPE _type;

std::size_t _maxargs;

std::size_t _minargs;

std::vector<Variant> _arguments;

};

class FnNOT : public Function

{

public:

static constexpr const char *NAME = "not";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnNOT();

}

FnNOT(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = !(*this)[0].getValue().toNumber();

}

};

class FnCOM : public Function

{

public:

static constexpr const char *NAME = "com";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnCOM();

}

FnCOM(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = ~(integer_t)(*this)[0].getValue().toNumber();

}

};

class FnABS : public Function

{

public:

static constexpr const char *NAME = "abs";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnABS();

}

FnABS(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = std::abs((*this)[0].getValue().toNumber());

}

};

class FnPOS : public Function

{

public:

static constexpr const char *NAME = "pos";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnPOS();

}

FnPOS(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = +(*this)[0].getValue().toNumber();

}

};

class FnNEG : public Function

{

public:

static constexpr const char *NAME = "neg";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnNEG();

}

FnNEG(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = -(*this)[0].getValue().toNumber();

}

};

class FnMUL : public Function

{

public:

static constexpr const char *NAME = "mul";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnMUL();

}

FnMUL(void) : Function(TYPE_NUMBER, 2)

{

}

void execute(void) override

{

*(Variant *)this = (*this)[0].getValue().toNumber() * (*this)[1].getValue().toNumber();

}

};

class FnDIV : public Function

{

public:

static constexpr const char *NAME = "div";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnDIV();

}

FnDIV(void) : Function(TYPE_NUMBER, 2)

{

}

void execute(void) override

{

number_t num = (*this)[1].getValue().toNumber();

if (num)

*(Variant *)this = (*this)[0].getValue().toNumber() / num;

else

clear();

}

};

class FnMOD : public Function

{

public:

static constexpr const char *NAME = "mod";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnMOD();

}

FnMOD(void) : Function(TYPE_NUMBER, 2)

{

}

void execute(void) override

{

intmax_t num = (intmax_t)(*this)[1].getValue().toNumber();

if (num)

*(Variant *)this = (intmax_t)(*this)[0].getValue().toNumber() % num;

else

clear();

}

};

class FnADD : public Function

{

public:

static constexpr const char *NAME = "add";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnADD();

}

FnADD(void) : Function(TYPE_NUMBER, 2)

{

}

void execute(void) override

{

*(Variant *)this = (*this)[0].getValue().toNumber() + (*this)[1].getValue().toNumber();

}

};

class FnSUB : public Function

{

public:

static constexpr const char *NAME = "sub";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnSUB();

}

FnSUB(void) : Function(TYPE_NUMBER, 2)

{

}

void execute(void) override

{

*(Variant *)this = (*this)[0].getValue().toNumber() - (*this)[1].getValue().toNumber();

}

};

class FnSHL : public Function

{

public:

static constexpr const char *NAME = "shl";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnSHL();

}

FnSHL(void) : Function(TYPE_NUMBER, 2)

{

}

void execute(void) override

{

*(Variant *)this = (integer_t)(*this)[0].getValue().toNumber() << (unsigned char)(*this)[1].getValue().toNumber();

}

};

class FnSHR : public Function

{

public:

static constexpr const char *NAME = "shr";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnSHR();

}

FnSHR(void) : Function(TYPE_NUMBER, 2)

{

}

void execute(void) override

{

*(Variant *)this = (integer_t)(*this)[0].getValue().toNumber() >> (unsigned char)(*this)[1].getValue().toNumber();

}

};

class FnLE : public Function

{

public:

static constexpr const char *NAME = "le";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnLE();

}

FnLE(void) : Function(TYPE_NUMBER, 2)

{

}

void execute(void) override

{

Variant &value0 = (*this)[0].getValue();

Variant &value1 = (*this)[1].getValue();

if (value0.getType() == value1.getType())

{

switch (value0.getType())

{

case TYPE_STRING:

*(Variant *)this = value0.toString() <= value1.toString();

return;

case TYPE_NUMBER:

*(Variant *)this = value0.toNumber() <= value1.toNumber();

return;

default:

break;

}

*(Variant *)this = 0;

}

};

class FnGE : public Function

{

public:

static constexpr const char *NAME = "ge";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnGE();

}

FnGE(void) : Function(TYPE_NUMBER, 2)

{

}

void execute(void) override

{

Variant &value0 = (*this)[0].getValue();

Variant &value1 = (*this)[1].getValue();

if (value0.getType() == value1.getType())

{

switch (value0.getType())

{

case TYPE_STRING:

*(Variant *)this = value0.toString() >= value1.toString();

return;

case TYPE_NUMBER:

*(Variant *)this = value0.toNumber() >= value1.toNumber();

return;

default:

break;

}

*(Variant *)this = 0;

}

};

class FnLT : public Function

{

public:

static constexpr const char *NAME = "lt";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnLT();

}

FnLT(void) : Function(TYPE_NUMBER, 2)

{

}

void execute(void) override

{

Variant &value0 = (*this)[0].getValue();

Variant &value1 = (*this)[1].getValue();

if (value0.getType() == value1.getType())

{

switch (value0.getType())

{

case TYPE_STRING:

*(Variant *)this = value0.toString() < value1.toString();

return;

case TYPE_NUMBER:

*(Variant *)this = value0.toNumber() < value1.toNumber();

return;

default:

break;

}

*(Variant *)this = 0;

}

};

class FnGT : public Function

{

public:

static constexpr const char *NAME = "gt";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnGT();

}

FnGT(void) : Function(TYPE_NUMBER, 2)

{

}

void execute(void) override

{

Variant &value0 = (*this)[0].getValue();

Variant &value1 = (*this)[1].getValue();

if (value0.getType() == value1.getType())

{

switch (value0.getType())

{

case TYPE_STRING:

*(Variant *)this = value0.toString() > value1.toString();

return;

case TYPE_NUMBER:

*(Variant *)this = value0.toNumber() > value1.toNumber();

return;

default:

break;

}

*(Variant *)this = 0;

}

};

class FnNE : public Function

{

public:

static constexpr const char *NAME = "ne";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnNE();

}

FnNE(void) : Function(TYPE_NUMBER, 2)

{

}

void execute(void) override

{

Variant &value0 = (*this)[0].getValue();

Variant &value1 = (*this)[1].getValue();

if (value0.getType() == value1.getType())

{

switch (value0.getType())

{

case TYPE_STRING:

*(Variant *)this = value0.toString() != value1.toString();

return;

case TYPE_NUMBER:

*(Variant *)this = value0.toNumber() != value1.toNumber();

return;

default:

break;

}

*(Variant *)this = 0;

}

};

class FnEQ : public Function

{

public:

static constexpr const char *NAME = "eq";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnEQ();

}

FnEQ(void) : Function(TYPE_NUMBER, 2)

{

}

void execute(void) override

{

Variant &value0 = (*this)[0].getValue();

Variant &value1 = (*this)[1].getValue();

if (value0.getType() == value1.getType())

{

switch (value0.getType())

{

case TYPE_STRING:

*(Variant *)this = value0.toString() == value1.toString();

return;

case TYPE_NUMBER:

*(Variant *)this = value0.toNumber() == value1.toNumber();

return;

default:

break;

}

*(Variant *)this = 0;

}

};

class FnANDS : public Function

{

public:

static constexpr const char *NAME = "ands";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnANDS();

}

FnANDS(void) : Function(TYPE_NUMBER, MAXARGS, 2)

{

}

void execute(void) override

{

bool value = true;

for (std::size_t i = 0; i < getArgSize(); ++i)

{

if ((*this)[i].getValue().toNumber() == 0)

{

value = false;

break;

}

*(Variant *)this = value;

}

};

class FnAND : public Function

{

public:

static constexpr const char *NAME = "and";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnAND();

}

FnAND(void) : Function(TYPE_NUMBER, 2)

{

}

void execute(void) override

{

*(Variant *)this = (integer_t)(*this)[0].getValue().toNumber() & (integer_t)(*this)[1].getValue().toNumber();

}

};

class FnXOR : public Function

{

public:

static constexpr const char *NAME = "xor";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnXOR();

}

FnXOR(void) : Function(TYPE_NUMBER, 2)

{

}

void execute(void) override

{

*(Variant *)this = (integer_t)(*this)[0].getValue().toNumber() ^ (integer_t)(*this)[1].getValue().toNumber();

}

};

class FnORS : public Function

{

public:

static constexpr const char *NAME = "ors";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnORS();

}

FnORS(void) : Function(TYPE_NUMBER, MAXARGS, 2)

{

}

void execute(void) override

{

bool value = false;

for (std::size_t i = 0; i < getArgSize(); ++i)

{

if ((*this)[i].getValue().toNumber() != 0)

{

value = true;

break;

}

*(Variant *)this = value;

}

};

class FnOR : public Function

{

public:

static constexpr const char *NAME = "or";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnOR();

}

FnOR(void) : Function(TYPE_NUMBER, 2)

{

}

void execute(void) override

{

*(Variant *)this = (integer_t)(*this)[0].getValue().toNumber() | (integer_t)(*this)[1].getValue().toNumber();

}

};

class FnTYPEOF : public Function

{

public:

static constexpr const char *NAME = "typeof";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnTYPEOF();

}

FnTYPEOF(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = (*this)[0].getValue().getType();

}

};

class FnIF : public Function

{

public:

static constexpr const char *NAME = "if";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnIF();

}

FnIF(void) : Function(TYPE_RESULT, 3)

{

}

void execute(void) override

{

if ((*this)[0].getValue().toNumber())

(*this)[1].getValue().moveto(*(Variant *)this);

else

(*this)[2].getValue().moveto(*(Variant *)this);

}

};

class FnIFS : public Function

{

public:

static constexpr const char *NAME = "ifs";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnIFS();

}

FnIFS(void) : Function(TYPE_RESULT, MAXARGS, 2)

{

}

void execute(void) override

{

for (std::size_t i = 0; i + 1 < getArgSize(); i += 2)

{

if ((*this)[i].getValue().toNumber())

{

(*this)[i + 1].getValue().moveto(*(Variant *)this);

return;

}

clear(); /* error */

}

};

class FnIFERROR : public Function

{

public:

static constexpr const char *NAME = "iferror";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnIFERROR();

}

FnIFERROR(void) : Function(TYPE_RESULT, 2)

{

}

void execute(void) override

{

Variant &value = (*this)[0].getValue();

if (value.getType() != TYPE_BLANK)

value.moveto(*(Variant *)this);

else

(*this)[1].getValue().moveto(*(Variant *)this);

}

};

class FnSWITCH : public Function

{

public:

static constexpr const char *NAME = "switch";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnSWITCH();

}

FnSWITCH(void) : Function(TYPE_RESULT, MAXARGS, 3)

{

}

void execute(void) override

{

string_t str;

integer_t num;

Variant &value0 = (*this)[0].getValue();

switch (value0.getType())

{

case TYPE_NUMBER:

num = value0.toNumber();

for (std::size_t i = 1; i + 1 < getArgSize(); i += 2)

{

Variant &value = (*this)[i].getValue();

if ((value.getType() == TYPE_NUMBER) && (value.toNumber() == num))

{

(*this)[i + 1].getValue().moveto(*(Variant *)this);

return;

}

break;

case TYPE_STRING:

str = value0.toString();

for (std::size_t i = 1; i + 1 < getArgSize(); i += 2)

{

Variant &value = (*this)[i].getValue();

if ((value.getType() == TYPE_STRING) && (value.toString() == str))

{

(*this)[i + 1].getValue().moveto(*(Variant *)this);

return;

}

break;

default:

break;

}

clear(); /* error */

}

};

class FnCHOOSE : public Function

{

public:

static constexpr const char *NAME = "choose";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnCHOOSE();

}

FnCHOOSE(void) : Function(TYPE_RESULT, MAXARGS, 2)

{

}

void execute(void) override

{

std::size_t index = (*this)[0].getValue().toNumber();

if ((index > 0) && (index < getArgSize()))

(*this)[index].getValue().moveto(*(Variant *)this);

else

clear(); /* error */

}

};

class FnSEXEC : public Function

{

public:

static constexpr const char *NAME = "sexec";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnSEXEC();

}

FnSEXEC(void) : Function(TYPE_RESULT, MAXARGS, 2)

{

}

void execute(void) override

{

clear();

std::size_t index = (*this)[0].getValue().toNumber();

for (std::size_t i = 1; i < getArgSize(); ++i)

{

Variant &value = (*this)[i].getValue();

if (index == i)

value.moveto(*(Variant *)this);

}

};

class FnCONCATS : public Function

{

public:

static constexpr const char *NAME = "concats";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnCONCATS();

}

FnCONCATS(void) : Function(TYPE_STRING, MAXARGS, 0)

{

}

void execute(void) override

{

string_t str;

for (std::size_t i = 0; i < getArgSize(); ++i)

str += (*this)[i].getValue().toPrint();

*(Variant *)this = str;

}

};

class FnLEN : public Function

{

public:

static constexpr const char *NAME = "len";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnLEN();

}

FnLEN(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = (*this)[0].getValue().toPrint().length();

}

};

class FnLEFT : public Function

{

public:

static constexpr const char *NAME = "left";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnLEFT();

}

FnLEFT(void) : Function(TYPE_STRING, 2)

{

}

void execute(void) override

{

string_t str = (*this)[0].getValue().toPrint();

std::size_t len = (*this)[1].getValue().toNumber();

*(Variant *)this = str.substr(0, len);

}

};

class FnRIGHT : public Function

{

public:

static constexpr const char *NAME = "right";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnRIGHT();

}

FnRIGHT(void) : Function(TYPE_STRING, 2)

{

}

void execute(void) override

{

string_t str = (*this)[0].getValue().toPrint();

std::size_t len = (*this)[1].getValue().toNumber();

*(Variant *)this = str.length() <= len ? str : str.substr(str.length() - len);

}

};

class FnMID : public Function

{

public:

static constexpr const char *NAME = "mid";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnMID();

}

FnMID(void) : Function(TYPE_STRING, 3)

{

}

void execute(void) override

{

string_t str = (*this)[0].getValue().toPrint();

std::size_t pos = (*this)[1].getValue().toNumber();

std::size_t len = (*this)[2].getValue().toNumber();

*(Variant *)this = str.substr(pos, len);

}

};

class FnUPPER : public Function

{

public:

static constexpr const char *NAME = "upper";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnUPPER();

}

FnUPPER(void) : Function(TYPE_STRING, 1)

{

}

void execute(void) override

{

string_t str;

for (auto c: (*this)[0].getValue().toPrint())

str += std::toupper(c);

*(Variant *)this = str;

}

};

class FnLOWER : public Function

{

public:

static constexpr const char *NAME = "lower";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnLOWER();

}

FnLOWER(void) : Function(TYPE_STRING, 1)

{

}

void execute(void) override

{

string_t str;

for (auto c: (*this)[0].getValue().toPrint())

str += std::tolower(c);

*(Variant *)this = str;

}

};

class FnDATE : public Function

{

public:

static constexpr const char *NAME = "date";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnDATE();

}

FnDATE(void) : Function(TYPE_STRING, 3)

{

}

void execute(void) override

{

struct tm lt;

time_t now = std::time(nullptr);

localtime(&now, &lt);

lt.tm_year = (*this)[0].getValue().toNumber() - 1900;

lt.tm_mon = (*this)[1].getValue().toNumber() - 1;

lt.tm_mday = (*this)[2].getValue().toNumber();

now = std::mktime(&lt);

localtime(&now, &lt);

#if _STD_CPP_20 /* C++20 */

*(Variant *)this = std::format("{:04}-{:02}-{:02}", lt.tm_year + 1900, lt.tm_mon + 1, lt.tm_mday);

#else

char tmp[16];

snprintf(tmp, sizeof(tmp), "%04d-%02d-%02d", lt.tm_year + 1900, lt.tm_mon + 1, lt.tm_mday);

*(Variant *)this = tmp;

#endif

}

};

class FnTIME : public Function

{

public:

static constexpr const char *NAME = "time";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnTIME();

}

FnTIME(void) : Function(TYPE_STRING, 3)

{

}

void execute(void) override

{

struct tm lt;

time_t now = std::time(nullptr);

localtime(&now, &lt);

lt.tm_hour = (*this)[0].getValue().toNumber();

lt.tm_min = (*this)[1].getValue().toNumber();

lt.tm_sec = (*this)[2].getValue().toNumber();

now = std::mktime(&lt);

localtime(&now, &lt);

#if _STD_CPP_20 /* C++20 */

*(Variant *)this = std::format("{:02}:{:02}:{:02}", lt.tm_hour, lt.tm_min, lt.tm_sec);

#else

char tmp[16];

snprintf(tmp, sizeof(tmp), "%02d:%02d:%02d", lt.tm_hour, lt.tm_min, lt.tm_sec);

*(Variant *)this = tmp;

#endif

}

};

class FnTODAY : public Function

{

public:

static constexpr const char *NAME = "today";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnTODAY();

}

FnTODAY(void) : Function(TYPE_STRING)

{

}

bool isImmutable(void) override

{

return false;

}

void execute(void) override

{

struct tm lt;

time_t now = std::time(nullptr);

localtime(&now, &lt);

#if _STD_CPP_20 /* C++20 */

*(Variant *)this = std::format("{:04}-{:02}-{:02}", lt.tm_year + 1900, lt.tm_mon + 1, lt.tm_mday);

#else

char tmp[16];

snprintf(tmp, sizeof(tmp), "%04d-%02d-%02d", lt.tm_year + 1900, lt.tm_mon + 1, lt.tm_mday);

*(Variant *)this = tmp;

#endif

}

};

class FnNOW : public Function

{

public:

static constexpr const char *NAME = "now";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnNOW();

}

FnNOW(void) : Function(TYPE_STRING)

{

}

bool isImmutable(void) override

{

return false;

}

void execute(void) override

{

struct tm lt;

time_t now = std::time(nullptr);

localtime(&now, &lt);

#if _STD_CPP_20 /* C++20 */

*(Variant *)this = std::format("{:02}:{:02}:{:02}", lt.tm_hour, lt.tm_min, lt.tm_sec);

#else

char tmp[16];

snprintf(tmp, sizeof(tmp), "%02d:%02d:%02d", lt.tm_hour, lt.tm_min, lt.tm_sec);

*(Variant *)this = tmp;

#endif

}

};

class FnYEAR : public Function

{

public:

static constexpr const char *NAME = "year";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnYEAR();

}

FnYEAR(void) : Function(TYPE_NUMBER)

{

}

bool isImmutable(void) override

{

return false;

}

void execute(void) override

{

struct tm lt;

time_t now = std::time(nullptr);

localtime(&now, &lt);

*(Variant *)this = lt.tm_year + 1900;

}

};

class FnMONTH : public Function

{

public:

static constexpr const char *NAME = "month";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnMONTH();

}

FnMONTH(void) : Function(TYPE_NUMBER)

{

}

bool isImmutable(void) override

{

return false;

}

void execute(void) override

{

struct tm lt;

time_t now = std::time(nullptr);

localtime(&now, &lt);

*(Variant *)this = lt.tm_mon + 1;

}

};

class FnDAY : public Function

{

public:

static constexpr const char *NAME = "day";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnDAY();

}

FnDAY(void) : Function(TYPE_NUMBER)

{

}

bool isImmutable(void) override

{

return false;

}

void execute(void) override

{

struct tm lt;

time_t now = std::time(nullptr);

localtime(&now, &lt);

*(Variant *)this = lt.tm_mday;

}

};

class FnWEEK : public Function

{

public:

static constexpr const char *NAME = "week";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnWEEK();

}

FnWEEK(void) : Function(TYPE_NUMBER)

{

}

bool isImmutable(void) override

{

return false;

}

void execute(void) override

{

struct tm lt;

time_t now = std::time(nullptr);

localtime(&now, &lt);

*(Variant *)this = lt.tm_wday;

}

};

class FnHOUR : public Function

{

public:

static constexpr const char *NAME = "hour";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnHOUR();

}

FnHOUR(void) : Function(TYPE_NUMBER)

{

}

bool isImmutable(void) override

{

return false;

}

void execute(void) override

{

struct tm lt;

time_t now = std::time(nullptr);

localtime(&now, &lt);

*(Variant *)this = lt.tm_hour;

}

};

class FnMINUTE : public Function

{

public:

static constexpr const char *NAME = "minute";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnMINUTE();

}

FnMINUTE(void) : Function(TYPE_NUMBER)

{

}

bool isImmutable(void) override

{

return false;

}

void execute(void) override

{

struct tm lt;

time_t now = std::time(nullptr);

localtime(&now, &lt);

*(Variant *)this = lt.tm_min;

}

};

class FnSECOND : public Function

{

public:

static constexpr const char *NAME = "second";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnSECOND();

}

FnSECOND(void) : Function(TYPE_NUMBER)

{

}

bool isImmutable(void) override

{

return false;

}

void execute(void) override

{

struct tm lt;

time_t now = std::time(nullptr);

localtime(&now, &lt);

*(Variant *)this = lt.tm_sec;

}

};

class FnMIN : public Function

{

public:

static constexpr const char *NAME = "min";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnMIN();

}

FnMIN(void) : Function(TYPE_NUMBER, 2)

{

}

void execute(void) override

{

*(Variant *)this = std::fmin((*this)[0].getValue().toNumber(), (*this)[1].getValue().toNumber());

}

};

class FnMAX : public Function

{

public:

static constexpr const char *NAME = "max";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnMAX();

}

FnMAX(void) : Function(TYPE_NUMBER, 2)

{

}

void execute(void) override

{

*(Variant *)this = std::fmax((*this)[0].getValue().toNumber(), (*this)[1].getValue().toNumber());

}

};

class FnFMOD : public Function

{

public:

static constexpr const char *NAME = "fmod";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnFMOD();

}

FnFMOD(void) : Function(TYPE_NUMBER, 2)

{

}

void execute(void) override

{

number_t num = (*this)[1].getValue().toNumber();

if (num)

*(Variant *)this = std::fmod((*this)[0].getValue().toNumber(), num);

else

clear();

}

};

class FnMODF : public Function

{

public:

static constexpr const char *NAME = "modf";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnMODF();

}

FnMODF(void) : Function(TYPE_NUMBER, 2, 1)

{

}

void execute(void) override

{

number_t ipart, fpart = std::modf((*this)[0].getValue().toNumber(), &ipart);

*(Variant *)this = (*this)[1].getValue().toNumber() ? ipart : fpart;

}

};

class FnCEIL: public Function

{

public:

static constexpr const char *NAME = "ceil";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnCEIL();

}

FnCEIL(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = std::ceil((*this)[0].getValue().toNumber());

}

};

class FnFLOOR : public Function

{

public:

static constexpr const char *NAME = "floor";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnFLOOR();

}

FnFLOOR(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = std::floor((*this)[0].getValue().toNumber());

}

};

class FnROUND : public Function

{

public:

static constexpr const char *NAME = "round";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnROUND();

}

FnROUND(void) : Function(TYPE_NUMBER, 2, 1)

{

}

void execute(void) override

{

number_t num = (*this)[0].getValue().toNumber();

number_t pos = std::pow(10, (*this)[1].getValue().toNumber());

*(Variant *)this = std::round(num * pos) / pos;

}

};

class FnPOW : public Function

{

public:

static constexpr const char *NAME = "pow";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnPOW();

}

FnPOW(void) : Function(TYPE_NUMBER, 2)

{

}

void execute(void) override

{

*(Variant *)this = std::pow((*this)[0].getValue().toNumber(), (*this)[1].getValue().toNumber());

}

};

class FnSQRT: public Function

{

public:

static constexpr const char *NAME = "sqrt";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnSQRT();

}

FnSQRT(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = std::sqrt((*this)[0].getValue().toNumber());

}

};

class FnLOG : public Function

{

public:

static constexpr const char *NAME = "log";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnLOG();

}

FnLOG(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = std::log((*this)[0].getValue().toNumber());

}

};

class FnLOG1P : public Function

{

public:

static constexpr const char *NAME = "log1p";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnLOG1P();

}

FnLOG1P(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = std::log1p((*this)[0].getValue().toNumber());

}

};

class FnLOG2 : public Function

{

public:

static constexpr const char *NAME = "log2";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnLOG2();

}

FnLOG2(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = std::log2((*this)[0].getValue().toNumber());

}

};

class FnLOG10 : public Function

{

public:

static constexpr const char *NAME = "log10";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnLOG10();

}

FnLOG10(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = std::log10((*this)[0].getValue().toNumber());

}

};

class FnLOGB : public Function

{

public:

static constexpr const char *NAME = "logb";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnLOGB();

}

FnLOGB(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = std::logb((*this)[0].getValue().toNumber());

}

};

class FnEXP : public Function

{

public:

static constexpr const char *NAME = "exp";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnEXP();

}

FnEXP(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = std::exp((*this)[0].getValue().toNumber());

}

};

class FnSIN : public Function

{

public:

static constexpr const char *NAME = "sin";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnSIN();

}

FnSIN(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = std::sin((*this)[0].getValue().toNumber());

}

};

class FnCOS : public Function

{

public:

static constexpr const char *NAME = "cos";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnCOS();

}

FnCOS(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = std::cos((*this)[0].getValue().toNumber());

}

};

class FnTAN : public Function

{

public:

static constexpr const char *NAME = "tan";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnTAN();

}

FnTAN(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = std::tan((*this)[0].getValue().toNumber());

}

};

class FnSINH : public Function

{

public:

static constexpr const char *NAME = "sinh";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnSINH();

}

FnSINH(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = std::sinh((*this)[0].getValue().toNumber());

}

};

class FnCOSH : public Function

{

public:

static constexpr const char *NAME = "cosh";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnCOSH();

}

FnCOSH(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = std::cosh((*this)[0].getValue().toNumber());

}

};

class FnTANH : public Function

{

public:

static constexpr const char *NAME = "tanh";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnTANH();

}

FnTANH(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = std::tanh((*this)[0].getValue().toNumber());

}

};

class FnASIN : public Function

{

public:

static constexpr const char *NAME = "asin";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnASIN();

}

FnASIN(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = std::asin((*this)[0].getValue().toNumber());

}

};

class FnACOS : public Function

{

public:

static constexpr const char *NAME = "acos";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnACOS();

}

FnACOS(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = std::acos((*this)[0].getValue().toNumber());

}

};

class FnATAN : public Function

{

public:

static constexpr const char *NAME = "atan";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnATAN();

}

FnATAN(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = std::atan((*this)[0].getValue().toNumber());

}

};

class FnATAN2 : public Function

{

public:

static constexpr const char *NAME = "atan2";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnATAN2();

}

FnATAN2(void) : Function(TYPE_NUMBER, 2)

{

}

void execute(void) override

{

*(Variant *)this = std::atan2((*this)[0].getValue().toNumber(), (*this)[1].getValue().toNumber());

}

};

class FnASINH : public Function

{

public:

static constexpr const char *NAME = "asinh";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnASINH();

}

FnASINH(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = std::asinh((*this)[0].getValue().toNumber());

}

};

class FnACOSH : public Function

{

public:

static constexpr const char *NAME = "acosh";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnACOSH();

}

FnACOSH(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = std::acosh((*this)[0].getValue().toNumber());

}

};

class FnATANH : public Function

{

public:

static constexpr const char *NAME = "atanh";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnATANH();

}

FnATANH(void) : Function(TYPE_NUMBER, 1)

{

}

void execute(void) override

{

*(Variant *)this = std::atanh((*this)[0].getValue().toNumber());

}

};

class FnCALL : public Function

{

public:

static constexpr const char *NAME = "call";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnCALL();

}

FnCALL(void) : Function(TYPE_RESULT, MAXARGS, 1)

{

}

void execute(void) override;

};

class FnGET : public Function

{

public:

static constexpr const char *NAME = "get";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnGET();

}

FnGET(void) : Function(TYPE_STRING, 1)

{

}

bool isImmutable(void) override

{

return false;

}

void execute(void) override;

};

class FnSET : public Function

{

public:

static constexpr const char *NAME = "set";

const char *getName(void) override

{

return NAME;

}

static Function *instanceof(void)

{

return new FnSET();

}

FnSET(void) : Function(TYPE_STRING, 2)

{

}

bool isImmutable(void) override

{

return false;

}

void execute(void) override;

};

class Parser

{

private:

static constexpr std::size_t OP1 = 0x8000;

static constexpr std::size_t OP2 = 0x4000;

static constexpr std::size_t OP3 = 0x2000;

static constexpr std::size_t OPMSK = 0x0FFF;

static constexpr const char *LPAR = "(";

static constexpr const char *COMMA = ",";

static constexpr const char *RPAR = ")";

typedef struct

{

const char *name;

std::size_t priority;

Function *(*factory)(void);

const char *symbol;

} operator_t;

static constexpr operator_t FUNCTIONS[] = {

{ LPAR, 2, FnGET::instanceof , FnGET::NAME }, /* get symbol */

{ LPAR, 2, FnSET::instanceof , FnSET::NAME }, /* set symbol */

{ LPAR, 2, FnCALL::instanceof , FnCALL::NAME },

{ LPAR, 2, FnCOM::instanceof , FnCOM::NAME },

{ LPAR, 2, FnNOT::instanceof , FnNOT::NAME },

{ LPAR, 2, FnABS::instanceof , FnABS::NAME },

{ LPAR, 2, FnPOS::instanceof , FnPOS::NAME },

{ LPAR, 2, FnNEG::instanceof , FnNEG::NAME },

{ LPAR, 2, FnMUL::instanceof , FnMUL::NAME },

{ LPAR, 2, FnDIV::instanceof , FnDIV::NAME },

{ LPAR, 2, FnMOD::instanceof , FnMOD::NAME },

{ LPAR, 2, FnADD::instanceof , FnADD::NAME },

{ LPAR, 2, FnSUB::instanceof , FnSUB::NAME },

{ LPAR, 2, FnSHL::instanceof , FnSHL::NAME },

{ LPAR, 2, FnSHR::instanceof , FnSHR::NAME },

{ LPAR, 2, FnLE::instanceof , FnLE::NAME },

{ LPAR, 2, FnGE::instanceof , FnGE::NAME },

{ LPAR, 2, FnLT::instanceof , FnLT::NAME },

{ LPAR, 2, FnGT::instanceof , FnGT::NAME },

{ LPAR, 2, FnNE::instanceof , FnNE::NAME },

{ LPAR, 2, FnEQ::instanceof , FnEQ::NAME },

{ LPAR, 2, FnANDS::instanceof , FnANDS::NAME },

{ LPAR, 2, FnAND::instanceof , FnAND::NAME },

{ LPAR, 2, FnXOR::instanceof , FnXOR::NAME },

{ LPAR, 2, FnORS::instanceof , FnORS::NAME },

{ LPAR, 2, FnOR::instanceof , FnOR::NAME },

{ LPAR, 2, FnTYPEOF::instanceof , FnTYPEOF::NAME },

{ LPAR, 2, FnIF::instanceof , FnIF::NAME },

{ LPAR, 2, FnIFS::instanceof , FnIFS::NAME },

{ LPAR, 2, FnIFERROR::instanceof, FnIFERROR::NAME },

{ LPAR, 2, FnSWITCH::instanceof , FnSWITCH::NAME },

{ LPAR, 2, FnCHOOSE::instanceof , FnCHOOSE::NAME },

{ LPAR, 2, FnSEXEC::instanceof , FnSEXEC::NAME },

{ LPAR, 2, FnCONCATS::instanceof, FnCONCATS::NAME },

{ LPAR, 2, FnLEN::instanceof , FnLEN::NAME },

{ LPAR, 2, FnLEFT::instanceof , FnLEFT::NAME },

{ LPAR, 2, FnRIGHT::instanceof , FnRIGHT::NAME },

{ LPAR, 2, FnMID::instanceof , FnMID::NAME },

{ LPAR, 2, FnUPPER::instanceof , FnUPPER::NAME },

{ LPAR, 2, FnLOWER::instanceof , FnLOWER::NAME },

{ LPAR, 2, FnDATE::instanceof , FnDATE::NAME },

{ LPAR, 2, FnTIME::instanceof , FnTIME::NAME },

{ LPAR, 2, FnTODAY::instanceof , FnTODAY::NAME },

{ LPAR, 2, FnNOW::instanceof , FnNOW::NAME },

{ LPAR, 2, FnYEAR::instanceof , FnYEAR::NAME },

{ LPAR, 2, FnMONTH::instanceof , FnMONTH::NAME },

{ LPAR, 2, FnDAY::instanceof , FnDAY::NAME },

{ LPAR, 2, FnWEEK::instanceof , FnWEEK::NAME },

{ LPAR, 2, FnHOUR::instanceof , FnHOUR::NAME },

{ LPAR, 2, FnMINUTE::instanceof , FnMINUTE::NAME },

{ LPAR, 2, FnSECOND::instanceof , FnSECOND::NAME },

{ LPAR, 2, FnMIN::instanceof , FnMIN::NAME },

{ LPAR, 2, FnMAX::instanceof , FnMAX::NAME },

{ LPAR, 2, FnFMOD::instanceof , FnFMOD::NAME },

{ LPAR, 2, FnMODF::instanceof , FnMODF::NAME },

{ LPAR, 2, FnCEIL::instanceof , FnCEIL::NAME },

{ LPAR, 2, FnFLOOR::instanceof , FnFLOOR::NAME },

{ LPAR, 2, FnROUND::instanceof , FnROUND::NAME },

{ LPAR, 2, FnPOW::instanceof , FnPOW::NAME },

{ LPAR, 2, FnSQRT::instanceof , FnSQRT::NAME },

{ LPAR, 2, FnLOG::instanceof , FnLOG::NAME },

{ LPAR, 2, FnLOG1P::instanceof , FnLOG1P::NAME },

{ LPAR, 2, FnLOG2::instanceof , FnLOG2::NAME },

{ LPAR, 2, FnLOG10::instanceof , FnLOG10::NAME },

{ LPAR, 2, FnLOGB::instanceof , FnLOGB::NAME },

{ LPAR, 2, FnEXP::instanceof , FnEXP::NAME },

{ LPAR, 2, FnSIN::instanceof , FnSIN::NAME },

{ LPAR, 2, FnCOS::instanceof , FnCOS::NAME },

{ LPAR, 2, FnTAN::instanceof , FnTAN::NAME },

{ LPAR, 2, FnSINH::instanceof , FnSINH::NAME },

{ LPAR, 2, FnCOSH::instanceof , FnCOSH::NAME },

{ LPAR, 2, FnTANH::instanceof , FnTANH::NAME },

{ LPAR, 2, FnASIN::instanceof , FnASIN::NAME },

{ LPAR, 2, FnACOS::instanceof , FnACOS::NAME },

{ LPAR, 2, FnATAN::instanceof , FnATAN::NAME },

{ LPAR, 2, FnATAN2::instanceof , FnATAN2::NAME },

{ LPAR, 2, FnASINH::instanceof , FnASINH::NAME },

{ LPAR, 2, FnACOSH::instanceof , FnACOSH::NAME },

{ LPAR, 2, FnATANH::instanceof , FnATANH::NAME },

};

static constexpr operator_t OPERATORS[] = {

{ "<<=", OP1 | OP2 | OP3 },

{ ">>=", OP1 | OP2 | OP3 },

{ "->" , OP1 | OP2 | OP3 },

{ "++" , OP1 | OP2 | OP3 },

{ "--" , OP1 | OP2 | OP3 },

{ "+=" , OP1 | OP2 | OP3 },

{ "-=" , OP1 | OP2 | OP3 },

{ "*=" , OP1 | OP2 | OP3 },

{ "/=" , OP1 | OP2 | OP3 },

{ "%=" , OP1 | OP2 | OP3 },

{ "&=" , OP1 | OP2 | OP3 },

{ "^=" , OP1 | OP2 | OP3 },

{ "|=" , OP1 | OP2 | OP3 },

{ "." , OP1 | OP2 | OP3 },

{ "[" , OP1 | OP2 | OP3 },

{ "]" , OP1 | OP2 | OP3 },

{ LPAR , 2 | OP1 | OP3 },

{ "~" , 4 | OP1, FnCOM::instanceof },

{ "!" , 4 | OP1, FnNOT::instanceof },

{ "+" , 4 | OP1, FnPOS::instanceof },

{ "-" , 4 | OP1, FnNEG::instanceof },

{ "*" , 8 | OP2, FnMUL::instanceof },

{ "/" , 8 | OP2, FnDIV::instanceof },

{ "%" , 8 | OP2, FnMOD::instanceof },

{ "+" , 10 | OP2, FnADD::instanceof },

{ "-" , 10 | OP2, FnSUB::instanceof },

{ "<<" , 12 | OP2, FnSHL::instanceof },

{ ">>" , 12 | OP2, FnSHR::instanceof },

{ "<=" , 14 | OP2, FnLE::instanceof },

{ ">=" , 14 | OP2, FnGE::instanceof },

{ "<" , 14 | OP2, FnLT::instanceof },

{ ">" , 14 | OP2, FnGT::instanceof },

{ "!=" , 16 | OP2, FnNE::instanceof },

{ "==" , 16 | OP2, FnEQ::instanceof },

{ "&&" , 24 | OP2, FnANDS::instanceof },

{ "&" , 18 | OP2, FnAND::instanceof },

{ "^" , 20 | OP2, FnXOR::instanceof },

{ "||" , 24 | OP2, FnORS::instanceof },

{ "|" , 22 | OP2, FnOR::instanceof },

{ "?" , OP1 | OP2 | OP3 },

{ ":" , OP1 | OP2 | OP3 },

{ COMMA, 32 | OP2 | OP3 },

{ RPAR , 98 | OP2 | OP3 },

{ "=" , OP1 | OP2 | OP3 },

};

static constexpr operator_t TERM = { ";", 98 };

static constexpr std::size_t ADD_OPERAND = 0x8000;

Formula *_formula;

string_t _symbol;

std::vector<operator_t> _operators;

std::vector<Variant> _output;

std::vector<std::size_t> _argcount;

/* Reverse Polish notation (RPN) */

void addOperand(void)

{

Variant blank;

addOperand(blank);

}

void addOperand(const string_t &name)

{

Function *func = new FnGET();

func->setFormula(_formula);

(*func)[0] = name;

addOperand(*func);

}

bool addOperand(const operator_t &op, std::size_t args)

{

Function *func = op.factory();

func->setFormula(_formula);

if ((args > _output.size()) || (args < func->getMinArgs()) || (args > func->getMaxArgs()))

{

delete func;

return false;

}

std::size_t index = _output.size() - args;

for (std::size_t i = 0; i < args; ++i)

(*func)[i] = _output[index + i];

for (std::size_t i = 0; i < args; ++i)

{

_output.back().clear();

_output.pop_back();

}

addOperand(func);

return true;

}

void addOperand(Function *func)

{

if (func->isImmutable())

{

Variant value;

func->getValue().moveto(value);

addOperand(value);

}

else

addOperand(*func);

}

void addOperand(const Variant &value)

{

for (auto &arg: _argcount)

arg |= ADD_OPERAND;

_output.push_back(value);

}

bool addOperator(operator_t token)

{

while (!_operators.empty() && ((_operators.back().priority & OPMSK) < (token.priority & OPMSK)))

{

const operator_t op = _operators.back();

_operators.pop_back();

if (!op.factory)

return strcmp(token.name, TERM.name) == 0;

if (!addOperand(op, op.priority & OP1 ? 1 : 2))

return false;

}

if (strcmp(token.name, LPAR) == 0)

{

token.priority = 98;

_argcount.push_back(0);

}

else if (strcmp(token.name, COMMA) == 0)

{

if (_operators.empty() || (strcmp(_operators.back().name, LPAR) != 0))

return false;

std::size_t args = _argcount.back();

if ((args & ADD_OPERAND) == 0)

addOperand();

_argcount.back() = (args & ~ADD_OPERAND) + 1;

return true;

}

else if (strcmp(token.name, RPAR) == 0)

{

if (_operators.empty() || (strcmp(_operators.back().name, LPAR) != 0))

return false;

std::size_t args = _argcount.back();

_argcount.pop_back();

if (args & ADD_OPERAND)

args = (args & ~ADD_OPERAND) + 1;

else if (args)

{

++args;

addOperand();

}

const operator_t op = _operators.back();

_operators.pop_back();

if (!op.factory)

return args == 1;

return addOperand(op, args);

}

else if (token.factory)

{

if (token.priority & OP2)

--token.priority;

}

else

return strcmp(token.name, TERM.name) == 0;

_operators.push_back(token);

return true;

}

public:

Parser(Formula *formula = nullptr)

{

_formula = formula;

}

virtual ~Parser(void)

{

clear();

}

void clear(void)

{

for (auto &value: _output)

value.free();

_output.clear();

_operators.clear();

_symbol.clear();

_argcount.clear();

}

std::size_t parse(Variant &result, const string_t &expr)

{

Variant value;

std::size_t curpos;

int state = OP1;

clear();

result.free();

for (std::size_t pos = curpos = 0; pos < expr.length(); )

{

char c = expr[pos];

curpos = pos + 1;

if (std::isspace(c))

{

++pos;

continue;

}

string_t token;

if (std::isdigit(c))

{

if ((state & OP1) == 0)

return curpos;

value = Variant::toNumber(expr, pos);

addOperand(value);

state = OP2;

}

else if ((c == '"') || (c == '\''))

{

if ((state & OP1) == 0)

return curpos;

bool esc = false;

char eoc = c;

c = expr[++pos];

while ((c != eoc) || esc)

{

if ((c == '\\') && !esc)

esc = true;

else

{

esc = false;

token += c;

}

c = expr[++pos];

}

++pos;

value = token;

addOperand(value);

state = OP2;

}

else if (__iscsymf(c) || (c == '$'))

{

if ((state & OP1) == 0)

return curpos;

{

_symbol += c;

c = expr[++pos];

if (_symbol.back() != '.')

{

if (c == '[')

{

_symbol += c;

c = expr[++pos];

}

while (isdigit(c));

if (c == ']')

{

_symbol += c;

c = expr[++pos];

}

if (c == '.')

{

_symbol += c;

c = expr[++pos];

}

while (__iscsym(c));

state = OP2 | OP3;

}

else

{

const char *str = expr.c_str() + pos;

int priority = 0;

for (auto &op: OPERATORS)

{

std::size_t len = strlen(op.name);

if ((strncmp(op.name, str, len) == 0) && (state & op.priority))

{

token = op.name;

pos += len;

priority = op.priority & OPMSK;

if (priority)

{

if (_symbol.length() == 0)

{

if (!addOperator(op))

return curpos;

}

else if (strcmp(op.name, LPAR) == 0)

{

for (auto &func: FUNCTIONS)

{

if (func.symbol == _symbol)

{

if (addOperator(func))

_symbol.clear();

break;

}

if (_symbol.length())

return curpos;

}

else

{

addOperand(_symbol);

if (!addOperator(op))

return curpos;

}

break;

}

if (priority == 0)

return curpos;

_symbol.clear();

if ((token == LPAR) || (token == COMMA))

state = OP1 | OP3;

else if (token == RPAR)

state = OP2;

else

state = OP1;

}

if ((state & OP2) == 0)

return curpos;

if (_symbol.length())

addOperand(_symbol);

++curpos;

if (!addOperator(TERM))

return curpos;

if (_output.size() != 1)

return curpos;

_output[0].moveto(result);

return 0;

}

};

class Formula

{

public:

Formula(resolver_t resolver = nullptr) : _resolver(resolver)

{

for (auto &def: MATH_DEFINES)

setNameValue(def.name, def.value);

}

virtual ~Formula(void)

{

_result.free();

}

const string_t getNameValue(const string_t &name)

{

return _namevalue.count(name) ? _namevalue[name] : _resolver ? _resolver(name) : "";

}

void setNameValue(const string_t &name, const string_t &value)

{

_namevalue[name] = value;

}

std::size_t parse(const string_t &expr)

{

Parser parser(this);

return parser.parse(_result, expr);

}

Variant &getResult(void)

{

return _result;

}

private:

static constexpr struct {

const char *name;

const char *value;

} MATH_DEFINES[] = {

{ "M_E" , "2.7182818284590452354" },

{ "M_LOG2E" , "1.4426950408889634074" },

{ "M_LOG10E" , "0.43429448190325182765" },

{ "M_LN2" , "0.69314718055994530942" },

{ "M_LN10" , "2.30258509299404568402" },

{ "M_PI" , "3.14159265358979323846" },

{ "M_PI_2" , "1.57079632679489661923" },

{ "M_PI_4" , "0.78539816339744830962" },

{ "M_1_PI" , "0.31830988618379067154" },

{ "M_2_PI" , "0.63661977236758134308" },

{ "M_2_SQRTPI", "1.12837916709551257390" },

{ "M_SQRT2" , "1.41421356237309504880" },

{ "M_SQRT1_2" , "0.70710678118654752440" },

};

resolver_t _resolver;

std::map<string_t, string_t> _namevalue;

Variant _result;

};

inline void FnCALL::execute(void)

{

Variant result;

Parser parser(getFormula());

for (std::size_t i = 1; i < getArgSize(); ++i)

getFormula()->setNameValue("$" + std::to_string(i), (*this)[i].getValue().toString());

if (parser.parse(result, (*this)[0].getValue().toString()) == 0)

result.moveto(*(Variant *)this);

else

clear();

}

inline void FnGET::execute(void)

{

*(Variant *)this = getFormula()->getNameValue((*this)[0].getValue().toString());

}

inline void FnSET::execute(void)

{

string_t name = (*this)[0].getValue().toString();

string_t value = (*this)[1].getValue().toString();

getFormula()->setNameValue(name, value);

*(Variant *)this = value;

}

カテゴリー: アルゴリズム

計算式ライブラリを作ってみた。