整数演算¶

By default, Perl assumes that it must do most of its arithmetic in floating point. But by saying

デフォルトでは、Perl は演算を浮動小数で行なわなければならないものとしています。しかし、(もしそうしたいなら)

    use integer;

you may tell the compiler to use integer operations (see integer for a detailed explanation) from here to the end of the enclosing BLOCK. An inner BLOCK may countermand this by saying

と書けば、その場所から現在の BLOCK の終わりまでは、整数演算 (詳しい説明は integer を参照してください) を行なってよいと、コンパイラに指示することができます。内部の BLOCK で、

    no integer;

which lasts until the end of that BLOCK. Note that this doesn't mean everything is an integer, merely that Perl will use integer operations for arithmetic, comparison, and bitwise operators. For example, even under use integer, if you take the sqrt(2), you'll still get 1.4142135623731 or so.

と書けば、その BLOCK の終わりまでは、指示を取り消すことになります。これは全てを整数だけを使って処理することを意味するわけではなく、単に Perl が算術、比較、ビット単位演算子で整数演算をするというだけであることに注意してください。例えば、use integer の指定があっても、sqrt(2) とすると、 1.4142135623731 といった結果が返ってきます。

Used on numbers, the bitwise operators (& | ^ ~ << >>) always produce integral results. (But see also "Bitwise String Operators".) However, use integer still has meaning for them. By default, their results are interpreted as unsigned integers, but if use integer is in effect, their results are interpreted as signed integers. For example, ~0 usually evaluates to a large integral value. However, use integer; ~0 is -1 on two's-complement machines.

数値を使う場合、ビット単位演算子 (& | ^ ~ << >>) は常に整数の結果を生成します。 (但し "Bitwise String Operators" も参照して下さい。) しかし、それでも use integer は意味があります。デフォルトでは、これらの結果は符号なし整数として解釈されますが、 use integer が有効の場合は、符号付き整数として解釈されます。例えば、~0 は通常大きな整数の値として評価されます。しかし、use integer; ~0 は 2 の補数のマシンでは -1 になります。

浮動小数点数演算¶

While use integer provides integer-only arithmetic, there is no analogous mechanism to provide automatic rounding or truncation to a certain number of decimal places. For rounding to a certain number of digits, sprintf() or printf() is usually the easiest route. See perlfaq4.

use integer が整数演算を提供する一方、数を特定の桁で自動的に丸めたり切り捨てたりする機構はありません。数を丸めるには、sprintf() や printf() を使うのが一番簡単な方法です。 perlfaq4 を参照して下さい。

Floating-point numbers are only approximations to what a mathematician would call real numbers. There are infinitely more reals than floats, so some corners must be cut. For example:

浮動小数点数は数学者が実数と呼ぶものの近似でしかありません。実数は浮動小数点より無限に続くので、多少角が丸められます。例えば:

    printf "%.20g\n", 123456789123456789;
    #        produces 123456789123456784

Testing for exact floating-point equality or inequality is not a good idea. Here's a (relatively expensive) work-around to compare whether two floating-point numbers are equal to a particular number of decimal places. See Knuth, volume II, for a more robust treatment of this topic.

浮動小数点数が等しいかどうかをちょうど同じかどうかで比較するのはよい考えではありません。以下に、二つの浮動小数点数が指定された桁まで等しいかどうかを比較する(比較的重い)次善の策を示します。この問題に関するより厳密な扱いについては Knuth, volume II を参照して下さい。

    sub fp_equal {
        my ($X, $Y, $POINTS) = @_;
        my ($tX, $tY);
        $tX = sprintf("%.${POINTS}g", $X);
        $tY = sprintf("%.${POINTS}g", $Y);
        return $tX eq $tY;
    }

The POSIX module (part of the standard perl distribution) implements ceil(), floor(), and other mathematical and trigonometric functions. The Math::Complex module (part of the standard perl distribution) defines mathematical functions that work on both the reals and the imaginary numbers. Math::Complex is not as efficient as POSIX, but POSIX can't work with complex numbers.

POSIX モジュール(Perl 標準配布パッケージの一部) は ceil(), floor() 及びその他の数学関数や三角関数を実装しています。 Math::Complex モジュール(Perl 標準配布パッケージの一部)は実数と虚数の両方で動作する数学関数を定義しています。 Math::Complex は POSIX ほど効率的ではありませんが、POSIX は複素数は扱えません。

Rounding in financial applications can have serious implications, and the rounding method used should be specified precisely. In these cases, it probably pays not to trust whichever system rounding is being used by Perl, but to instead implement the rounding function you need yourself.

金融アプリケーションにおける丸めは深刻な影響を与える可能性があり、使用する丸めメソッドは指定された精度で行われるべきです。このような場合、Perl が使用するシステム丸めを信用せず、代わりに自分自身で丸め関数を実装するべきです。

より大きな数¶

The standard Math::BigInt, Math::BigRat, and Math::BigFloat modules, along with the bignum, bigint, and bigrat pragmas, provide variable-precision arithmetic and overloaded operators, although they're currently pretty slow. At the cost of some space and considerable speed, they avoid the normal pitfalls associated with limited-precision representations.

標準の Math::BigInt, Math::BigRat, Math::BigFloat モジュールと bignum, bigint, bigrat プラグマは多倍長演算を提供し、演算子をオーバーロードしますが、これらは現在のところかなり遅いです。多少の領域とかなりの速度を犠牲にして、桁数が制限されていることによるありがちな落とし穴を避けることができます。

        use 5.010;
        use bigint;  # easy interface to Math::BigInt
        $x = 123456789123456789;
        say $x * $x;
    +15241578780673678515622620750190521

Or with rationals:

あるいは分数を使って:

        use 5.010;
        use bigrat;
        $x = 3/22;
        $y = 4/6;
        say "x/y is ", $x/$y;
        say "x*y is ", $x*$y;
        x/y is 9/44
        x*y is 1/11

Several modules let you calculate with unlimited or fixed precision (bound only by memory and CPU time). There are also some non-standard modules that provide faster implementations via external C libraries.

(メモリと CPU 時間のみに依存する)無制限か固定の精度での計算ができるモジュールがいくつかあります。さらに外部 C ライブラリを使ってより速い実装を提供する非標準のモジュールもあります。

Here is a short, but incomplete summary:

以下は短いですが不完全なリストです。

  Math::String           treat string sequences like numbers
  Math::FixedPrecision   calculate with a fixed precision
  Math::Currency         for currency calculations
  Bit::Vector            manipulate bit vectors fast (uses C)
  Math::BigIntFast       Bit::Vector wrapper for big numbers
  Math::Pari             provides access to the Pari C library
  Math::Cephes           uses the external Cephes C library (no
                         big numbers)
  Math::Cephes::Fraction fractions via the Cephes library
  Math::GMP              another one using an external C library
  Math::GMPz             an alternative interface to libgmp's big ints
  Math::GMPq             an interface to libgmp's fraction numbers
  Math::GMPf             an interface to libgmp's floating point numbers

  Math::String           文字列を数値のように扱う
  Math::FixedPrecision   固定精度で計算する
  Math::Currency         通貨の計算用
  Bit::Vector            (C を使って)ビットベクタを速く操作する
  Math::BigIntFast       大きな数のための Bit::Vector のラッパー
  Math::Pari             Pari C ライブラリへのアクセスを提供する
  Math::Cephes           外部の Cephes C を使う(大きな数はなし)
  Math::Cephes::Fraction Cephes ライブラリを使った分数
  Math::GMP              これも外部 C ライブラリを使う
  Math::GMPz             libgmp の大きな整数へのもう一つのインターフェース
  Math::GMPq             libgmp の分数へのインターフェース
  Math::GMPf             libgmp の浮動小数点のインターフェース

Choose wisely.

うまく選んでください。

APPENDIX¶

List of Extra Paired Delimiters¶

The complete list of accepted paired delimiters as of Unicode 14.0 is:

 (  )    U+0028, U+0029   LEFT/RIGHT PARENTHESIS
 <  >    U+003C, U+003E   LESS-THAN/GREATER-THAN SIGN
 [  ]    U+005B, U+005D   LEFT/RIGHT SQUARE BRACKET
 {  }    U+007B, U+007D   LEFT/RIGHT CURLY BRACKET
 «  »    U+00AB, U+00BB   LEFT/RIGHT-POINTING DOUBLE ANGLE QUOTATION MARK
 »  «    U+00BB, U+00AB   RIGHT/LEFT-POINTING DOUBLE ANGLE QUOTATION MARK
 ༺  ༻    U+0F3A, U+0F3B   TIBETAN MARK GUG RTAGS GYON,  TIBETAN MARK GUG
                          RTAGS GYAS
 ༼  ༽    U+0F3C, U+0F3D   TIBETAN MARK ANG KHANG GYON,  TIBETAN MARK ANG
                          KHANG GYAS
 ᚛  ᚜    U+169B, U+169C   OGHAM FEATHER MARK,  OGHAM REVERSED FEATHER MARK
 ‘  ’    U+2018, U+2019   LEFT/RIGHT SINGLE QUOTATION MARK
 ’  ‘    U+2019, U+2018   RIGHT/LEFT SINGLE QUOTATION MARK
 “  ”    U+201C, U+201D   LEFT/RIGHT DOUBLE QUOTATION MARK
 ”  “    U+201D, U+201C   RIGHT/LEFT DOUBLE QUOTATION MARK
 ‵  ′    U+2035, U+2032   REVERSED PRIME,  PRIME
 ‶  ″    U+2036, U+2033   REVERSED DOUBLE PRIME,  DOUBLE PRIME
 ‷  ‴    U+2037, U+2034   REVERSED TRIPLE PRIME,  TRIPLE PRIME
 ‹  ›    U+2039, U+203A   SINGLE LEFT/RIGHT-POINTING ANGLE QUOTATION MARK
 ›  ‹    U+203A, U+2039   SINGLE RIGHT/LEFT-POINTING ANGLE QUOTATION MARK
 ⁅  ⁆    U+2045, U+2046   LEFT/RIGHT SQUARE BRACKET WITH QUILL
 ⁍  ⁌    U+204D, U+204C   BLACK RIGHT/LEFTWARDS BULLET
 ⁽  ⁾    U+207D, U+207E   SUPERSCRIPT LEFT/RIGHT PARENTHESIS
 ₍  ₎    U+208D, U+208E   SUBSCRIPT LEFT/RIGHT PARENTHESIS
 →  ←    U+2192, U+2190   RIGHT/LEFTWARDS ARROW
 ↛  ↚    U+219B, U+219A   RIGHT/LEFTWARDS ARROW WITH STROKE
 ↝  ↜    U+219D, U+219C   RIGHT/LEFTWARDS WAVE ARROW
 ↠  ↞    U+21A0, U+219E   RIGHT/LEFTWARDS TWO HEADED ARROW
 ↣  ↢    U+21A3, U+21A2   RIGHT/LEFTWARDS ARROW WITH TAIL
 ↦  ↤    U+21A6, U+21A4   RIGHT/LEFTWARDS ARROW FROM BAR
 ↪  ↩    U+21AA, U+21A9   RIGHT/LEFTWARDS ARROW WITH HOOK
 ↬  ↫    U+21AC, U+21AB   RIGHT/LEFTWARDS ARROW WITH LOOP
 ↱  ↰    U+21B1, U+21B0   UPWARDS ARROW WITH TIP RIGHT/LEFTWARDS
 ↳  ↲    U+21B3, U+21B2   DOWNWARDS ARROW WITH TIP RIGHT/LEFTWARDS
 ⇀  ↼    U+21C0, U+21BC   RIGHT/LEFTWARDS HARPOON WITH BARB UPWARDS
 ⇁  ↽    U+21C1, U+21BD   RIGHT/LEFTWARDS HARPOON WITH BARB DOWNWARDS
 ⇉  ⇇    U+21C9, U+21C7   RIGHT/LEFTWARDS PAIRED ARROWS
 ⇏  ⇍    U+21CF, U+21CD   RIGHT/LEFTWARDS DOUBLE ARROW WITH STROKE
 ⇒  ⇐    U+21D2, U+21D0   RIGHT/LEFTWARDS DOUBLE ARROW
 ⇛  ⇚    U+21DB, U+21DA   RIGHT/LEFTWARDS TRIPLE ARROW
 ⇝  ⇜    U+21DD, U+21DC   RIGHT/LEFTWARDS SQUIGGLE ARROW
 ⇢  ⇠    U+21E2, U+21E0   RIGHT/LEFTWARDS DASHED ARROW
 ⇥  ⇤    U+21E5, U+21E4   RIGHT/LEFTWARDS ARROW TO BAR
 ⇨  ⇦    U+21E8, U+21E6   RIGHT/LEFTWARDS WHITE ARROW
 ⇴  ⬰    U+21F4, U+2B30   RIGHT/LEFT ARROW WITH SMALL CIRCLE
 ⇶  ⬱    U+21F6, U+2B31   THREE RIGHT/LEFTWARDS ARROWS
 ⇸  ⇷    U+21F8, U+21F7   RIGHT/LEFTWARDS ARROW WITH VERTICAL STROKE
 ⇻  ⇺    U+21FB, U+21FA   RIGHT/LEFTWARDS ARROW WITH DOUBLE VERTICAL
                          STROKE
 ⇾  ⇽    U+21FE, U+21FD   RIGHT/LEFTWARDS OPEN-HEADED ARROW
 ∈  ∋    U+2208, U+220B   ELEMENT OF,  CONTAINS AS MEMBER
 ∉  ∌    U+2209, U+220C   NOT AN ELEMENT OF,  DOES NOT CONTAIN AS MEMBER
 ∊  ∍    U+220A, U+220D   SMALL ELEMENT OF,  SMALL CONTAINS AS MEMBER
 ≤  ≥    U+2264, U+2265   LESS-THAN/GREATER-THAN OR EQUAL TO
 ≦  ≧    U+2266, U+2267   LESS-THAN/GREATER-THAN OVER EQUAL TO
 ≨  ≩    U+2268, U+2269   LESS-THAN/GREATER-THAN BUT NOT EQUAL TO
 ≪  ≫    U+226A, U+226B   MUCH LESS-THAN/GREATER-THAN
 ≮  ≯    U+226E, U+226F   NOT LESS-THAN/GREATER-THAN
 ≰  ≱    U+2270, U+2271   NEITHER LESS-THAN/GREATER-THAN NOR EQUAL TO
 ≲  ≳    U+2272, U+2273   LESS-THAN/GREATER-THAN OR EQUIVALENT TO
 ≴  ≵    U+2274, U+2275   NEITHER LESS-THAN/GREATER-THAN NOR EQUIVALENT TO
 ≺  ≻    U+227A, U+227B   PRECEDES/SUCCEEDS
 ≼  ≽    U+227C, U+227D   PRECEDES/SUCCEEDS OR EQUAL TO
 ≾  ≿    U+227E, U+227F   PRECEDES/SUCCEEDS OR EQUIVALENT TO
 ⊀  ⊁    U+2280, U+2281   DOES NOT PRECEDE/SUCCEED
 ⊂  ⊃    U+2282, U+2283   SUBSET/SUPERSET OF
 ⊄  ⊅    U+2284, U+2285   NOT A SUBSET/SUPERSET OF
 ⊆  ⊇    U+2286, U+2287   SUBSET/SUPERSET OF OR EQUAL TO
 ⊈  ⊉    U+2288, U+2289   NEITHER A SUBSET/SUPERSET OF NOR EQUAL TO
 ⊊  ⊋    U+228A, U+228B   SUBSET/SUPERSET OF WITH NOT EQUAL TO
 ⊣  ⊢    U+22A3, U+22A2   LEFT/RIGHT TACK
 ⊦  ⫞    U+22A6, U+2ADE   ASSERTION,  SHORT LEFT TACK
 ⊨  ⫤    U+22A8, U+2AE4   TRUE,  VERTICAL BAR DOUBLE LEFT TURNSTILE
 ⊩  ⫣    U+22A9, U+2AE3   FORCES,  DOUBLE VERTICAL BAR LEFT TURNSTILE
 ⊰  ⊱    U+22B0, U+22B1   PRECEDES/SUCCEEDS UNDER RELATION
 ⋐  ⋑    U+22D0, U+22D1   DOUBLE SUBSET/SUPERSET
 ⋖  ⋗    U+22D6, U+22D7   LESS-THAN/GREATER-THAN WITH DOT
 ⋘  ⋙    U+22D8, U+22D9   VERY MUCH LESS-THAN/GREATER-THAN
 ⋜  ⋝    U+22DC, U+22DD   EQUAL TO OR LESS-THAN/GREATER-THAN
 ⋞  ⋟    U+22DE, U+22DF   EQUAL TO OR PRECEDES/SUCCEEDS
 ⋠  ⋡    U+22E0, U+22E1   DOES NOT PRECEDE/SUCCEED OR EQUAL
 ⋦  ⋧    U+22E6, U+22E7   LESS-THAN/GREATER-THAN BUT NOT EQUIVALENT TO
 ⋨  ⋩    U+22E8, U+22E9   PRECEDES/SUCCEEDS BUT NOT EQUIVALENT TO
 ⋲  ⋺    U+22F2, U+22FA   ELEMENT OF/CONTAINS WITH LONG HORIZONTAL STROKE
 ⋳  ⋻    U+22F3, U+22FB   ELEMENT OF/CONTAINS WITH VERTICAL BAR AT END OF
                          HORIZONTAL STROKE
 ⋴  ⋼    U+22F4, U+22FC   SMALL ELEMENT OF/CONTAINS WITH VERTICAL BAR AT
                          END OF HORIZONTAL STROKE
 ⋶  ⋽    U+22F6, U+22FD   ELEMENT OF/CONTAINS WITH OVERBAR
 ⋷  ⋾    U+22F7, U+22FE   SMALL ELEMENT OF/CONTAINS WITH OVERBAR
 ⌈  ⌉    U+2308, U+2309   LEFT/RIGHT CEILING
 ⌊  ⌋    U+230A, U+230B   LEFT/RIGHT FLOOR
 ⌦  ⌫    U+2326, U+232B   ERASE TO THE RIGHT/LEFT
 〈 〉   U+2329, U+232A   LEFT/RIGHT-POINTING ANGLE BRACKET
 ⍈  ⍇    U+2348, U+2347   APL FUNCTIONAL SYMBOL QUAD RIGHT/LEFTWARDS ARROW
 ⏩ ⏪   U+23E9, U+23EA   BLACK RIGHT/LEFT-POINTING DOUBLE TRIANGLE
 ⏭  ⏮    U+23ED, U+23EE   BLACK RIGHT/LEFT-POINTING DOUBLE TRIANGLE WITH
                          VERTICAL BAR
 ☛  ☚    U+261B, U+261A   BLACK RIGHT/LEFT POINTING INDEX
 ☞  ☜    U+261E, U+261C   WHITE RIGHT/LEFT POINTING INDEX
 ⚞  ⚟    U+269E, U+269F   THREE LINES CONVERGING RIGHT/LEFT
 ❨  ❩    U+2768, U+2769   MEDIUM LEFT/RIGHT PARENTHESIS ORNAMENT
 ❪  ❫    U+276A, U+276B   MEDIUM FLATTENED LEFT/RIGHT PARENTHESIS ORNAMENT
 ❬  ❭    U+276C, U+276D   MEDIUM LEFT/RIGHT-POINTING ANGLE BRACKET
                          ORNAMENT
 ❮  ❯    U+276E, U+276F   HEAVY LEFT/RIGHT-POINTING ANGLE QUOTATION MARK
                          ORNAMENT
 ❰  ❱    U+2770, U+2771   HEAVY LEFT/RIGHT-POINTING ANGLE BRACKET ORNAMENT
 ❲  ❳    U+2772, U+2773   LIGHT LEFT/RIGHT TORTOISE SHELL BRACKET ORNAMENT
 ❴  ❵    U+2774, U+2775   MEDIUM LEFT/RIGHT CURLY BRACKET ORNAMENT
 ⟃  ⟄    U+27C3, U+27C4   OPEN SUBSET/SUPERSET
 ⟅  ⟆    U+27C5, U+27C6   LEFT/RIGHT S-SHAPED BAG DELIMITER
 ⟈  ⟉    U+27C8, U+27C9   REVERSE SOLIDUS PRECEDING SUBSET,  SUPERSET
                          PRECEDING SOLIDUS
 ⟞  ⟝    U+27DE, U+27DD   LONG LEFT/RIGHT TACK
 ⟦  ⟧    U+27E6, U+27E7   MATHEMATICAL LEFT/RIGHT WHITE SQUARE BRACKET
 ⟨  ⟩    U+27E8, U+27E9   MATHEMATICAL LEFT/RIGHT ANGLE BRACKET
 ⟪  ⟫    U+27EA, U+27EB   MATHEMATICAL LEFT/RIGHT DOUBLE ANGLE BRACKET
 ⟬  ⟭    U+27EC, U+27ED   MATHEMATICAL LEFT/RIGHT WHITE TORTOISE SHELL
                          BRACKET
 ⟮  ⟯    U+27EE, U+27EF   MATHEMATICAL LEFT/RIGHT FLATTENED PARENTHESIS
 ⟴  ⬲    U+27F4, U+2B32   RIGHT/LEFT ARROW WITH CIRCLED PLUS
 ⟶  ⟵    U+27F6, U+27F5   LONG RIGHT/LEFTWARDS ARROW
 ⟹  ⟸    U+27F9, U+27F8   LONG RIGHT/LEFTWARDS DOUBLE ARROW
 ⟼  ⟻    U+27FC, U+27FB   LONG RIGHT/LEFTWARDS ARROW FROM BAR
 ⟾  ⟽    U+27FE, U+27FD   LONG RIGHT/LEFTWARDS DOUBLE ARROW FROM BAR
 ⟿  ⬳    U+27FF, U+2B33   LONG RIGHT/LEFTWARDS SQUIGGLE ARROW
 ⤀  ⬴    U+2900, U+2B34   RIGHT/LEFTWARDS TWO-HEADED ARROW WITH VERTICAL
                          STROKE
 ⤁  ⬵    U+2901, U+2B35   RIGHT/LEFTWARDS TWO-HEADED ARROW WITH DOUBLE
                          VERTICAL STROKE
 ⤃  ⤂    U+2903, U+2902   RIGHT/LEFTWARDS DOUBLE ARROW WITH VERTICAL
                          STROKE
 ⤅  ⬶    U+2905, U+2B36   RIGHT/LEFTWARDS TWO-HEADED ARROW FROM BAR
 ⤇  ⤆    U+2907, U+2906   RIGHT/LEFTWARDS DOUBLE ARROW FROM BAR
 ⤍  ⤌    U+290D, U+290C   RIGHT/LEFTWARDS DOUBLE DASH ARROW
 ⤏  ⤎    U+290F, U+290E   RIGHT/LEFTWARDS TRIPLE DASH ARROW
 ⤐  ⬷    U+2910, U+2B37   RIGHT/LEFTWARDS TWO-HEADED TRIPLE DASH ARROW
 ⤑  ⬸    U+2911, U+2B38   RIGHT/LEFTWARDS ARROW WITH DOTTED STEM
 ⤔  ⬹    U+2914, U+2B39   RIGHT/LEFTWARDS ARROW WITH TAIL WITH VERTICAL
                          STROKE
 ⤕  ⬺    U+2915, U+2B3A   RIGHT/LEFTWARDS ARROW WITH TAIL WITH DOUBLE
                          VERTICAL STROKE
 ⤖  ⬻    U+2916, U+2B3B   RIGHT/LEFTWARDS TWO-HEADED ARROW WITH TAIL
 ⤗  ⬼    U+2917, U+2B3C   RIGHT/LEFTWARDS TWO-HEADED ARROW WITH TAIL WITH
                          VERTICAL STROKE
 ⤘  ⬽    U+2918, U+2B3D   RIGHT/LEFTWARDS TWO-HEADED ARROW WITH TAIL WITH
                          DOUBLE VERTICAL STROKE
 ⤚  ⤙    U+291A, U+2919   RIGHT/LEFTWARDS ARROW-TAIL
 ⤜  ⤛    U+291C, U+291B   RIGHT/LEFTWARDS DOUBLE ARROW-TAIL
 ⤞  ⤝    U+291E, U+291D   RIGHT/LEFTWARDS ARROW TO BLACK DIAMOND
 ⤠  ⤟    U+2920, U+291F   RIGHT/LEFTWARDS ARROW FROM BAR TO BLACK DIAMOND
 ⤳  ⬿    U+2933, U+2B3F   WAVE ARROW POINTING DIRECTLY RIGHT/LEFT
 ⤷  ⤶    U+2937, U+2936   ARROW POINTING DOWNWARDS THEN CURVING RIGHT/
                          LEFTWARDS
 ⥅  ⥆    U+2945, U+2946   RIGHT/LEFTWARDS ARROW WITH PLUS BELOW
 ⥇  ⬾    U+2947, U+2B3E   RIGHT/LEFTWARDS ARROW THROUGH X
 ⥓  ⥒    U+2953, U+2952   RIGHT/LEFTWARDS HARPOON WITH BARB UP TO BAR
 ⥗  ⥖    U+2957, U+2956   RIGHT/LEFTWARDS HARPOON WITH BARB DOWN TO BAR
 ⥛  ⥚    U+295B, U+295A   RIGHT/LEFTWARDS HARPOON WITH BARB UP FROM BAR
 ⥟  ⥞    U+295F, U+295E   RIGHT/LEFTWARDS HARPOON WITH BARB DOWN FROM BAR
 ⥤  ⥢    U+2964, U+2962   RIGHT/LEFTWARDS HARPOON WITH BARB UP ABOVE
                          RIGHT/LEFTWARDS HARPOON WITH BARB DOWN
 ⥬  ⥪    U+296C, U+296A   RIGHT/LEFTWARDS HARPOON WITH BARB UP ABOVE LONG
                          DASH
 ⥭  ⥫    U+296D, U+296B   RIGHT/LEFTWARDS HARPOON WITH BARB DOWN BELOW
                          LONG DASH
 ⥱  ⭀    U+2971, U+2B40   EQUALS SIGN ABOVE RIGHT/LEFTWARDS ARROW
 ⥲  ⭁    U+2972, U+2B41   TILDE OPERATOR ABOVE RIGHTWARDS ARROW,  REVERSE
                          TILDE OPERATOR ABOVE LEFTWARDS ARROW
 ⥴  ⭋    U+2974, U+2B4B   RIGHTWARDS ARROW ABOVE TILDE OPERATOR,
                          LEFTWARDS ARROW ABOVE REVERSE TILDE OPERATOR
 ⥵  ⭂    U+2975, U+2B42   RIGHTWARDS ARROW ABOVE ALMOST EQUAL TO,
                          LEFTWARDS ARROW ABOVE REVERSE ALMOST EQUAL TO
 ⥹  ⥻    U+2979, U+297B   SUBSET/SUPERSET ABOVE RIGHT/LEFTWARDS ARROW
 ⦃  ⦄    U+2983, U+2984   LEFT/RIGHT WHITE CURLY BRACKET
 ⦅  ⦆    U+2985, U+2986   LEFT/RIGHT WHITE PARENTHESIS
 ⦇  ⦈    U+2987, U+2988   Z NOTATION LEFT/RIGHT IMAGE BRACKET
 ⦉  ⦊    U+2989, U+298A   Z NOTATION LEFT/RIGHT BINDING BRACKET
 ⦋  ⦌    U+298B, U+298C   LEFT/RIGHT SQUARE BRACKET WITH UNDERBAR
 ⦍  ⦐    U+298D, U+2990   LEFT/RIGHT SQUARE BRACKET WITH TICK IN TOP
                          CORNER
 ⦏  ⦎    U+298F, U+298E   LEFT/RIGHT SQUARE BRACKET WITH TICK IN BOTTOM
                          CORNER
 ⦑  ⦒    U+2991, U+2992   LEFT/RIGHT ANGLE BRACKET WITH DOT
 ⦓  ⦔    U+2993, U+2994   LEFT/RIGHT ARC LESS-THAN/GREATER-THAN BRACKET
 ⦕  ⦖    U+2995, U+2996   DOUBLE LEFT/RIGHT ARC GREATER-THAN/LESS-THAN
                          BRACKET
 ⦗  ⦘    U+2997, U+2998   LEFT/RIGHT BLACK TORTOISE SHELL BRACKET
 ⦨  ⦩    U+29A8, U+29A9   MEASURED ANGLE WITH OPEN ARM ENDING IN ARROW
                          POINTING UP AND RIGHT/LEFT
 ⦪  ⦫    U+29AA, U+29AB   MEASURED ANGLE WITH OPEN ARM ENDING IN ARROW
                          POINTING DOWN AND RIGHT/LEFT
 ⦳  ⦴    U+29B3, U+29B4   EMPTY SET WITH RIGHT/LEFT ARROW ABOVE
 ⧀  ⧁    U+29C0, U+29C1   CIRCLED LESS-THAN/GREATER-THAN
 ⧘  ⧙    U+29D8, U+29D9   LEFT/RIGHT WIGGLY FENCE
 ⧚  ⧛    U+29DA, U+29DB   LEFT/RIGHT DOUBLE WIGGLY FENCE
 ⧼  ⧽    U+29FC, U+29FD   LEFT/RIGHT-POINTING CURVED ANGLE BRACKET
 ⩹  ⩺    U+2A79, U+2A7A   LESS-THAN/GREATER-THAN WITH CIRCLE INSIDE
 ⩻  ⩼    U+2A7B, U+2A7C   LESS-THAN/GREATER-THAN WITH QUESTION MARK ABOVE
 ⩽  ⩾    U+2A7D, U+2A7E   LESS-THAN/GREATER-THAN OR SLANTED EQUAL TO
 ⩿  ⪀    U+2A7F, U+2A80   LESS-THAN/GREATER-THAN OR SLANTED EQUAL TO WITH
                          DOT INSIDE
 ⪁  ⪂    U+2A81, U+2A82   LESS-THAN/GREATER-THAN OR SLANTED EQUAL TO WITH
                          DOT ABOVE
 ⪃  ⪄    U+2A83, U+2A84   LESS-THAN/GREATER-THAN OR SLANTED EQUAL TO WITH
                          DOT ABOVE RIGHT/LEFT
 ⪅  ⪆    U+2A85, U+2A86   LESS-THAN/GREATER-THAN OR APPROXIMATE
 ⪇  ⪈    U+2A87, U+2A88   LESS-THAN/GREATER-THAN AND SINGLE-LINE NOT
                          EQUAL TO
 ⪉  ⪊    U+2A89, U+2A8A   LESS-THAN/GREATER-THAN AND NOT APPROXIMATE
 ⪍  ⪎    U+2A8D, U+2A8E   LESS-THAN/GREATER-THAN ABOVE SIMILAR OR EQUAL
 ⪕  ⪖    U+2A95, U+2A96   SLANTED EQUAL TO OR LESS-THAN/GREATER-THAN
 ⪗  ⪘    U+2A97, U+2A98   SLANTED EQUAL TO OR LESS-THAN/GREATER-THAN WITH
                          DOT INSIDE
 ⪙  ⪚    U+2A99, U+2A9A   DOUBLE-LINE EQUAL TO OR LESS-THAN/GREATER-THAN
 ⪛  ⪜    U+2A9B, U+2A9C   DOUBLE-LINE SLANTED EQUAL TO OR LESS-THAN/
                          GREATER-THAN
 ⪝  ⪞    U+2A9D, U+2A9E   SIMILAR OR LESS-THAN/GREATER-THAN
 ⪟  ⪠    U+2A9F, U+2AA0   SIMILAR ABOVE LESS-THAN/GREATER-THAN ABOVE
                          EQUALS SIGN
 ⪡  ⪢    U+2AA1, U+2AA2   DOUBLE NESTED LESS-THAN/GREATER-THAN
 ⪦  ⪧    U+2AA6, U+2AA7   LESS-THAN/GREATER-THAN CLOSED BY CURVE
 ⪨  ⪩    U+2AA8, U+2AA9   LESS-THAN/GREATER-THAN CLOSED BY CURVE ABOVE
                          SLANTED EQUAL
 ⪪  ⪫    U+2AAA, U+2AAB   SMALLER THAN/LARGER THAN
 ⪬  ⪭    U+2AAC, U+2AAD   SMALLER THAN/LARGER THAN OR EQUAL TO
 ⪯  ⪰    U+2AAF, U+2AB0   PRECEDES/SUCCEEDS ABOVE SINGLE-LINE EQUALS SIGN
 ⪱  ⪲    U+2AB1, U+2AB2   PRECEDES/SUCCEEDS ABOVE SINGLE-LINE NOT EQUAL TO
 ⪳  ⪴    U+2AB3, U+2AB4   PRECEDES/SUCCEEDS ABOVE EQUALS SIGN
 ⪵  ⪶    U+2AB5, U+2AB6   PRECEDES/SUCCEEDS ABOVE NOT EQUAL TO
 ⪷  ⪸    U+2AB7, U+2AB8   PRECEDES/SUCCEEDS ABOVE ALMOST EQUAL TO
 ⪹  ⪺    U+2AB9, U+2ABA   PRECEDES/SUCCEEDS ABOVE NOT ALMOST EQUAL TO
 ⪻  ⪼    U+2ABB, U+2ABC   DOUBLE PRECEDES/SUCCEEDS
 ⪽  ⪾    U+2ABD, U+2ABE   SUBSET/SUPERSET WITH DOT
 ⪿  ⫀    U+2ABF, U+2AC0   SUBSET/SUPERSET WITH PLUS SIGN BELOW
 ⫁  ⫂    U+2AC1, U+2AC2   SUBSET/SUPERSET WITH MULTIPLICATION SIGN BELOW
 ⫃  ⫄    U+2AC3, U+2AC4   SUBSET/SUPERSET OF OR EQUAL TO WITH DOT ABOVE
 ⫅  ⫆    U+2AC5, U+2AC6   SUBSET/SUPERSET OF ABOVE EQUALS SIGN
 ⫇  ⫈    U+2AC7, U+2AC8   SUBSET/SUPERSET OF ABOVE TILDE OPERATOR
 ⫉  ⫊    U+2AC9, U+2ACA   SUBSET/SUPERSET OF ABOVE ALMOST EQUAL TO
 ⫋  ⫌    U+2ACB, U+2ACC   SUBSET/SUPERSET OF ABOVE NOT EQUAL TO
 ⫏  ⫐    U+2ACF, U+2AD0   CLOSED SUBSET/SUPERSET
 ⫑  ⫒    U+2AD1, U+2AD2   CLOSED SUBSET/SUPERSET OR EQUAL TO
 ⫕  ⫖    U+2AD5, U+2AD6   SUBSET/SUPERSET ABOVE SUBSET/SUPERSET
 ⫥  ⊫    U+2AE5, U+22AB   DOUBLE VERTICAL BAR DOUBLE LEFT/RIGHT TURNSTILE
 ⫷  ⫸    U+2AF7, U+2AF8   TRIPLE NESTED LESS-THAN/GREATER-THAN
 ⫹  ⫺    U+2AF9, U+2AFA   DOUBLE-LINE SLANTED LESS-THAN/GREATER-THAN OR
                          EQUAL TO
 ⭆  ⭅    U+2B46, U+2B45   RIGHT/LEFTWARDS QUADRUPLE ARROW
 ⭇  ⭉    U+2B47, U+2B49   REVERSE TILDE OPERATOR ABOVE RIGHTWARDS ARROW,
                          TILDE OPERATOR ABOVE LEFTWARDS ARROW
 ⭈  ⭊    U+2B48, U+2B4A   RIGHTWARDS ARROW ABOVE REVERSE ALMOST EQUAL
                          TO,  LEFTWARDS ARROW ABOVE ALMOST EQUAL TO
 ⭌  ⥳    U+2B4C, U+2973   RIGHTWARDS ARROW ABOVE REVERSE TILDE OPERATOR,
                          LEFTWARDS ARROW ABOVE TILDE OPERATOR
 ⭢  ⭠    U+2B62, U+2B60   RIGHT/LEFTWARDS TRIANGLE-HEADED ARROW
 ⭬  ⭪    U+2B6C, U+2B6A   RIGHT/LEFTWARDS TRIANGLE-HEADED DASHED ARROW
 ⭲  ⭰    U+2B72, U+2B70   RIGHT/LEFTWARDS TRIANGLE-HEADED ARROW TO BAR
 ⭼  ⭺    U+2B7C, U+2B7A   RIGHT/LEFTWARDS TRIANGLE-HEADED ARROW WITH
                          DOUBLE VERTICAL STROKE
 ⮆  ⮄    U+2B86, U+2B84   RIGHT/LEFTWARDS TRIANGLE-HEADED PAIRED ARROWS
 ⮊  ⮈    U+2B8A, U+2B88   RIGHT/LEFTWARDS BLACK CIRCLED WHITE ARROW
 ⮕  ⬅    U+2B95, U+2B05   RIGHT/LEFTWARDS BLACK ARROW
 ⮚  ⮘    U+2B9A, U+2B98   THREE-D TOP-LIGHTED RIGHT/LEFTWARDS EQUILATERAL
                          ARROWHEAD
 ⮞  ⮜    U+2B9E, U+2B9C   BLACK RIGHT/LEFTWARDS EQUILATERAL ARROWHEAD
 ⮡  ⮠    U+2BA1, U+2BA0   DOWNWARDS TRIANGLE-HEADED ARROW WITH LONG TIP
                          RIGHT/LEFTWARDS
 ⮣  ⮢    U+2BA3, U+2BA2   UPWARDS TRIANGLE-HEADED ARROW WITH LONG TIP
                          RIGHT/LEFTWARDS
 ⮩  ⮨    U+2BA9, U+2BA8   BLACK CURVED DOWNWARDS AND RIGHT/LEFTWARDS ARROW
 ⮫  ⮪    U+2BAB, U+2BAA   BLACK CURVED UPWARDS AND RIGHT/LEFTWARDS ARROW
 ⮱  ⮰    U+2BB1, U+2BB0   RIBBON ARROW DOWN RIGHT/LEFT
 ⮳  ⮲    U+2BB3, U+2BB2   RIBBON ARROW UP RIGHT/LEFT
 ⯮  ⯬    U+2BEE, U+2BEC   RIGHT/LEFTWARDS TWO-HEADED ARROW WITH TRIANGLE
                          ARROWHEADS
 ⸂  ⸃    U+2E02, U+2E03   LEFT/RIGHT SUBSTITUTION BRACKET
 ⸃  ⸂    U+2E03, U+2E02   RIGHT/LEFT SUBSTITUTION BRACKET
 ⸄  ⸅    U+2E04, U+2E05   LEFT/RIGHT DOTTED SUBSTITUTION BRACKET
 ⸅  ⸄    U+2E05, U+2E04   RIGHT/LEFT DOTTED SUBSTITUTION BRACKET
 ⸉  ⸊    U+2E09, U+2E0A   LEFT/RIGHT TRANSPOSITION BRACKET
 ⸊  ⸉    U+2E0A, U+2E09   RIGHT/LEFT TRANSPOSITION BRACKET
 ⸌  ⸍    U+2E0C, U+2E0D   LEFT/RIGHT RAISED OMISSION BRACKET
 ⸍  ⸌    U+2E0D, U+2E0C   RIGHT/LEFT RAISED OMISSION BRACKET
 ⸑  ⸐    U+2E11, U+2E10   REVERSED FORKED PARAGRAPHOS,  FORKED PARAGRAPHOS
 ⸜  ⸝    U+2E1C, U+2E1D   LEFT/RIGHT LOW PARAPHRASE BRACKET
 ⸝  ⸜    U+2E1D, U+2E1C   RIGHT/LEFT LOW PARAPHRASE BRACKET
 ⸠  ⸡    U+2E20, U+2E21   LEFT/RIGHT VERTICAL BAR WITH QUILL
 ⸡  ⸠    U+2E21, U+2E20   RIGHT/LEFT VERTICAL BAR WITH QUILL
 ⸢  ⸣    U+2E22, U+2E23   TOP LEFT/RIGHT HALF BRACKET
 ⸤  ⸥    U+2E24, U+2E25   BOTTOM LEFT/RIGHT HALF BRACKET
 ⸦  ⸧    U+2E26, U+2E27   LEFT/RIGHT SIDEWAYS U BRACKET
 ⸨  ⸩    U+2E28, U+2E29   LEFT/RIGHT DOUBLE PARENTHESIS
 ⸶  ⸷    U+2E36, U+2E37   DAGGER WITH LEFT/RIGHT GUARD
 ⹂  „    U+2E42, U+201E   DOUBLE LOW-REVERSED-9 QUOTATION MARK,  DOUBLE
                          LOW-9 QUOTATION MARK
 ⹕  ⹖    U+2E55, U+2E56   LEFT/RIGHT SQUARE BRACKET WITH STROKE
 ⹗  ⹘    U+2E57, U+2E58   LEFT/RIGHT SQUARE BRACKET WITH DOUBLE STROKE
 ⹙  ⹚    U+2E59, U+2E5A   TOP HALF LEFT/RIGHT PARENTHESIS
 ⹛  ⹜    U+2E5B, U+2E5C   BOTTOM HALF LEFT/RIGHT PARENTHESIS
 〈 〉   U+3008, U+3009   LEFT/RIGHT ANGLE BRACKET
 《 》   U+300A, U+300B   LEFT/RIGHT DOUBLE ANGLE BRACKET
 「 」   U+300C, U+300D   LEFT/RIGHT CORNER BRACKET
 『 』   U+300E, U+300F   LEFT/RIGHT WHITE CORNER BRACKET
 【 】   U+3010, U+3011   LEFT/RIGHT BLACK LENTICULAR BRACKET
 〔 〕   U+3014, U+3015   LEFT/RIGHT TORTOISE SHELL BRACKET
 〖 〗   U+3016, U+3017   LEFT/RIGHT WHITE LENTICULAR BRACKET
 〘 〙   U+3018, U+3019   LEFT/RIGHT WHITE TORTOISE SHELL BRACKET
 〚 〛   U+301A, U+301B   LEFT/RIGHT WHITE SQUARE BRACKET
 〝 〞   U+301D, U+301E   REVERSED DOUBLE PRIME QUOTATION MARK,  DOUBLE
                          PRIME QUOTATION MARK
 ꧁  ꧂    U+A9C1, U+A9C2   JAVANESE LEFT/RIGHT RERENGGAN
 ﴾  ﴿    U+FD3E, U+FD3F   ORNATE LEFT/RIGHT PARENTHESIS
 ﹙ ﹚   U+FE59, U+FE5A   SMALL LEFT/RIGHT PARENTHESIS
 ﹛ ﹜   U+FE5B, U+FE5C   SMALL LEFT/RIGHT CURLY BRACKET
 ﹝ ﹞   U+FE5D, U+FE5E   SMALL LEFT/RIGHT TORTOISE SHELL BRACKET
 ﹤ ﹥   U+FE64, U+FE65   SMALL LESS-THAN/GREATER-THAN SIGN
 （ ）   U+FF08, U+FF09   FULLWIDTH LEFT/RIGHT PARENTHESIS
 ＜ ＞   U+FF1C, U+FF1E   FULLWIDTH LESS-THAN/GREATER-THAN SIGN
 ［ ］   U+FF3B, U+FF3D   FULLWIDTH LEFT/RIGHT SQUARE BRACKET
 ｛ ｝   U+FF5B, U+FF5D   FULLWIDTH LEFT/RIGHT CURLY BRACKET
 ｟ ｠   U+FF5F, U+FF60   FULLWIDTH LEFT/RIGHT WHITE PARENTHESIS
 ｢  ｣    U+FF62, U+FF63   HALFWIDTH LEFT/RIGHT CORNER BRACKET
 ￫  ￩    U+FFEB, U+FFE9   HALFWIDTH RIGHT/LEFTWARDS ARROW
 𝄃  𝄂    U+1D103, U+1D102 MUSICAL SYMBOL REVERSE FINAL BARLINE,  MUSICAL
                          SYMBOL FINAL BARLINE
 𝄆  𝄇    U+1D106, U+1D107 MUSICAL SYMBOL LEFT/RIGHT REPEAT SIGN
 👉 👈   U+1F449, U+1F448 WHITE RIGHT/LEFT POINTING BACKHAND INDEX
 🔈 🕨    U+1F508, U+1F568 SPEAKER,  RIGHT SPEAKER
 🔉 🕩    U+1F509, U+1F569 SPEAKER WITH ONE SOUND WAVE,  RIGHT SPEAKER WITH
                          ONE SOUND WAVE
 🔊 🕪    U+1F50A, U+1F56A SPEAKER WITH THREE SOUND WAVES,  RIGHT SPEAKER
                          WITH THREE SOUND WAVES
 🕻  🕽    U+1F57B, U+1F57D LEFT/RIGHT HAND TELEPHONE RECEIVER
 🖙  🖘    U+1F599, U+1F598 SIDEWAYS WHITE RIGHT/LEFT POINTING INDEX
 🖛  🖚    U+1F59B, U+1F59A SIDEWAYS BLACK RIGHT/LEFT POINTING INDEX
 🖝  🖜    U+1F59D, U+1F59C BLACK RIGHT/LEFT POINTING BACKHAND INDEX
 🗦  🗧    U+1F5E6, U+1F5E7 THREE RAYS LEFT/RIGHT
 🠂  🠀    U+1F802, U+1F800 RIGHT/LEFTWARDS ARROW WITH SMALL TRIANGLE
                          ARROWHEAD
 🠆  🠄    U+1F806, U+1F804 RIGHT/LEFTWARDS ARROW WITH MEDIUM TRIANGLE
                          ARROWHEAD
 🠊  🠈    U+1F80A, U+1F808 RIGHT/LEFTWARDS ARROW WITH LARGE TRIANGLE
                          ARROWHEAD
 🠒  🠐    U+1F812, U+1F810 RIGHT/LEFTWARDS ARROW WITH SMALL EQUILATERAL
                          ARROWHEAD
 🠖  🠔    U+1F816, U+1F814 RIGHT/LEFTWARDS ARROW WITH EQUILATERAL ARROWHEAD
 🠚  🠘    U+1F81A, U+1F818 HEAVY RIGHT/LEFTWARDS ARROW WITH EQUILATERAL
                          ARROWHEAD
 🠞  🠜    U+1F81E, U+1F81C HEAVY RIGHT/LEFTWARDS ARROW WITH LARGE
                          EQUILATERAL ARROWHEAD
 🠢  🠠    U+1F822, U+1F820 RIGHT/LEFTWARDS TRIANGLE-HEADED ARROW WITH
                          NARROW SHAFT
 🠦  🠤    U+1F826, U+1F824 RIGHT/LEFTWARDS TRIANGLE-HEADED ARROW WITH
                          MEDIUM SHAFT
 🠪  🠨    U+1F82A, U+1F828 RIGHT/LEFTWARDS TRIANGLE-HEADED ARROW WITH BOLD
                          SHAFT
 🠮  🠬    U+1F82E, U+1F82C RIGHT/LEFTWARDS TRIANGLE-HEADED ARROW WITH
                          HEAVY SHAFT
 🠲  🠰    U+1F832, U+1F830 RIGHT/LEFTWARDS TRIANGLE-HEADED ARROW WITH VERY
                          HEAVY SHAFT
 🠶  🠴    U+1F836, U+1F834 RIGHT/LEFTWARDS FINGER-POST ARROW
 🠺  🠸    U+1F83A, U+1F838 RIGHT/LEFTWARDS SQUARED ARROW
 🠾  🠼    U+1F83E, U+1F83C RIGHT/LEFTWARDS COMPRESSED ARROW
 🡂  🡀    U+1F842, U+1F840 RIGHT/LEFTWARDS HEAVY COMPRESSED ARROW
 🡆  🡄    U+1F846, U+1F844 RIGHT/LEFTWARDS HEAVY ARROW
 🡒  🡐    U+1F852, U+1F850 RIGHT/LEFTWARDS SANS-SERIF ARROW
 🡢  🡠    U+1F862, U+1F860 WIDE-HEADED RIGHT/LEFTWARDS LIGHT BARB ARROW
 🡪  🡨    U+1F86A, U+1F868 WIDE-HEADED RIGHT/LEFTWARDS BARB ARROW
 🡲  🡰    U+1F872, U+1F870 WIDE-HEADED RIGHT/LEFTWARDS MEDIUM BARB ARROW
 🡺  🡸    U+1F87A, U+1F878 WIDE-HEADED RIGHT/LEFTWARDS HEAVY BARB ARROW
 🢂  🢀    U+1F882, U+1F880 WIDE-HEADED RIGHT/LEFTWARDS VERY HEAVY BARB
                          ARROW
 🢒  🢐    U+1F892, U+1F890 RIGHT/LEFTWARDS TRIANGLE ARROWHEAD
 🢖  🢔    U+1F896, U+1F894 RIGHT/LEFTWARDS WHITE ARROW WITHIN TRIANGLE
                          ARROWHEAD
 🢚  🢘    U+1F89A, U+1F898 RIGHT/LEFTWARDS ARROW WITH NOTCHED TAIL
 🢡  🢠    U+1F8A1, U+1F8A0 RIGHTWARDS BOTTOM SHADED WHITE ARROW,
                          LEFTWARDS BOTTOM-SHADED WHITE ARROW
 🢣  🢢    U+1F8A3, U+1F8A2 RIGHT/LEFTWARDS TOP SHADED WHITE ARROW
 🢥  🢦    U+1F8A5, U+1F8A6 RIGHT/LEFTWARDS RIGHT-SHADED WHITE ARROW
 🢧  🢤    U+1F8A7, U+1F8A4 RIGHT/LEFTWARDS LEFT-SHADED WHITE ARROW
 🢩  🢨    U+1F8A9, U+1F8A8 RIGHT/LEFTWARDS BACK-TILTED SHADOWED WHITE ARROW
 🢫  🢪    U+1F8AB, U+1F8AA RIGHT/LEFTWARDS FRONT-TILTED SHADOWED WHITE
                          ARROW

POD ERRORS¶

Hey! The above document had some coding errors, which are explained below:

Around line 7:

You forgot a '=back' before '=head2'

Around line 684:

=back without =over

Around line 687:

=back without =over