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even better overview
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‎bibliography/bibliography.bib

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@@ -2480,7 +2480,7 @@ @techreport{PEP591
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@techreport{PEP604,
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author = a_prados_philippe # and # a_moss_maggie,
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title = {Allow Writing Union Types as \pythonil{X | Y}\pythonIdx{"|}},
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title = {Allow Writing Union Types as \pythonil{X | Y}\pythonIdx{\textbar}},
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xdata = {rep_pep},
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number = {604},
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date = {2019-08-28},

‎styles/listing.sty

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@@ -332,3 +332,8 @@ showspaces=#1%
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\endcenter%
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}%
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%
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%% A dunder method
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%% #1 the method name
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%% This addss the underscores and a index entry.
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\protected\gdef\dunder#1{\expandafter\pythonilIdx{\_\_#1\_\_}\expandafter\pythonIdx{dunder!\_\_#1\_\_}}%
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%

‎text/main/classes/dunder/dunder.tex

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@@ -479,11 +479,11 @@
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%
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\item \pythonilIdx{\_\_lt\_\_}\pythonIdx{dunder!\_\_lt\_\_} implements the functionality of~\pythonilIdx{<}.%
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%
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\item \pythonilIdx{\_\_le\_\_}\pythonIdx{dunder!\_\_le\_\_} implements the functionality of~\pythonilIdx{<=}.%
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\item \pythonilIdx{\_\_le\_\_}\pythonIdx{dunder!\_\_le\_\_} implements the functionality of~\pythonil{<=}\pythonIdx{<=}.%
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%
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\item \pythonilIdx{\_\_gt\_\_}\pythonIdx{dunder!\_\_gt\_\_} implements the functionality of~\pythonilIdx{>}.%
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%
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\item \pythonilIdx{\_\_ge\_\_}\pythonIdx{dunder!\_\_ge\_\_} implements the functionality of~\pythonilIdx{>=}.%
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\item \pythonilIdx{\_\_ge\_\_}\pythonIdx{dunder!\_\_ge\_\_} implements the functionality of~\pythonil{>=}\pythonIdx{>=}.%
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\end{itemize}%
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%
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Implementing equality and inequality is rather easy, since our fractions are all normalized.
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\begin{figure}%
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\renewcommand*\DTstylecomment{\relax}%
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\renewcommand*\DTstyle{\small}%
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\def\dunder#1{\expandafter\pythonilIdx{\_\_#1\_\_}\expandafter\pythonIdx{dunder!\_\_#1\_\_}}%
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%
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\dirtree{%
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.1 \pythonilIdx{\_\_}.
@@ -1482,12 +1481,12 @@
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.2 Hashing.
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.3 \dunder{hash}\DTcomment{compute an integer value representing this object; \pythonil{hash(a)}~$\cong$~\pythonil{a.\_\_hash\_\_()}}.
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.2 Ordering and Equality.
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.3 \dunder{eq}\DTcomment{equality: \pythonil{a == b}~$\cong$~\pythonil{a.\_\_eq\_\_(b)}}.
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.3 \dunder{ne}\DTcomment{inequality: \pythonil{a != b}~$\cong$~\pythonil{a.\_\_ne\_\_(b)}}.
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.3 \dunder{lt}\DTcomment{less than: \pythonil{a < b}~$\cong$~\pythonil{a.\_\_lt\_\_(b)}}.
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.3 \dunder{le}\DTcomment{less than or equal: \pythonil{a <= b}~$\cong$~\pythonil{a.\_\_le\_\_(b)}}.
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.3 \dunder{gt}\DTcomment{greater than: \pythonil{a > b}~$\cong$~\pythonil{a.\_\_gt\_\_(b)}}.
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.3 \dunder{ge}\DTcomment{greater than or equal: \pythonil{a >= b}~$\cong$~\pythonil{a.\_\_ge\_\_(b)}}.
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.3 \dunder{eq}\DTcomment{equality: \pythonil{a == b}\pythonIdx{==}~$\cong$~\pythonil{a.\_\_eq\_\_(b)}}.
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.3 \dunder{ne}\DTcomment{inequality: \pythonil{a != b}\pythonIdx{"!==}~$\cong$~\pythonil{a.\_\_ne\_\_(b)}}.
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.3 \dunder{lt}\DTcomment{less than: \pythonil{a < b}\pythonIdx{<}~$\cong$~\pythonil{a.\_\_lt\_\_(b)}}.
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.3 \dunder{le}\DTcomment{less than or equal: \pythonil{a <= b}\pythonIdx{<=}~$\cong$~\pythonil{a.\_\_le\_\_(b)}}.
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.3 \dunder{gt}\DTcomment{greater than: \pythonil{a > b}\pythonIdx{>}~$\cong$~\pythonil{a.\_\_gt\_\_(b)}}.
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.3 \dunder{ge}\DTcomment{greater than or equal: \pythonil{a >= b}\pythonIdx{>=}~$\cong$~\pythonil{a.\_\_ge\_\_(b)}}.
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.2 Context Managers.
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.3 \dunder{enter}\DTcomment{enter a \pythonil{with a as x}\pythonIdx{with} statement, returns the value~\pythonil{x} given to \pythonilIdx{as}}.
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.3 \dunder{exit}\DTcomment{leave a \pythonilIdx{with} statement, receive exception information, returns~\pythonil{False} to re-raise caught exceptions, if any}.
@@ -1500,6 +1499,10 @@
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.3 \dunder{delitem}\DTcomment{delete element at index/key; \pythonil{del a[x]}\pythonIdx{del}~$\cong$~\pythonil{a.\_\_detitem\_\_(x)}}.
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.3 \dunder{reversed}\DTcomment{iterate backwards; \pythonil{reverse(a)}~$\cong$~\pythonil{a.\_\_reversed\_\_()}}.
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.3 \dunder{next}\DTcomment{get next element from iterator; \pythonil{next(i)}~$\cong$~\pythonil{i.\_\_next\_\_()}}.
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.2 Classes.
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.3 \dunder{new}\DTcomment{create a new instance of a class: \pythonil{cls(a, b=c)}~$\cong$~\pythonil{T.\_\_new\_\_(cls, a, b=c)}, is then followed by~\pythonil{cls.\_\_init\_\_(a, b=c)}}.
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.3 \dunder{init}\DTcomment{initialize an object: \pythonil{cls(a, b=c)}~$\cong$~\pythonil{cls.\_\_init\_\_(a, b=c)}}.
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.3 \dunder{call}\DTcomment{call an object like a function: \pythonil{a(b, c=d)}~$\cong$~\pythonil{a.\_\_call\_\_(b, c=d)}}.
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}%
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%
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\caption{An overview of the dunder in \python\ (Part~1).}%
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\begin{figure}%
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\renewcommand*\DTstylecomment{\relax}%
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\renewcommand*\DTstyle{\small}%
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\def\dunder#1{\expandafter\pythonilIdx{\_\_#1\_\_}\expandafter\pythonIdx{dunder!\_\_#1\_\_}}%
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%
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\dirtree{%
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.1 \pythonilIdx{\_\_}.
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.2 Arithmetics.
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.3 \dunder{abs}\DTcomment{abs: \pythonil{abs(a)}\pythonIdx{abs}~$\cong$~\pythonil{a.\_\_abs\_\_()}}.
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.3 \dunder{abs}\DTcomment{absolute value: \pythonil{abs(a)}\pythonIdx{abs}~$\cong$~\pythonil{a.\_\_abs\_\_()}}.
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.3 \dunder{minus}\DTcomment{negate: \pythonil{-a}\pythonIdx{-}~$\cong$~\pythonil{a.\_\_minus\_\_()}}.
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.3 \dunder{pos}\DTcomment{positive: \pythonil{+a}\pythonIdx{+}~$\cong$~\pythonil{a.\_\_pos\_\_()}}.
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.3 \dunder{invert}\DTcomment{invert: \pythonil{\~a}\pythonIdx{\texttildelow}~$\cong$~\pythonil{a.\_\_invert\_\_()}}.
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.3 \dunder{add}\DTcomment{add: \pythonil{a + b}\pythonIdx{+}~$\cong$~\pythonil{a.\_\_add\_\_(b)}}.
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.3 \dunder{radd}\DTcomment{right-add: \pythonil{a + b}\pythonIdx{+}~$\cong$~\pythonil{b.\_\_radd\_\_(a)}, if \pythonil{a.\_\_add\_\_(b)} yields~\pythonilIdx{NotImplemented}}.
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.3 \dunder{sub}\DTcomment{subtract: \pythonil{a - b}\pythonIdx{-}~$\cong$~\pythonil{a.\_\_sub\_\_(b)}}.
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.3 \dunder{rsub}\DTcomment{right-subtract: \pythonil{a - b}\pythonIdx{-}~$\cong$~\pythonil{b.\_\_rsub\_\_(a)}, if \pythonil{a.\_\_sub\_\_(b)} yields~\pythonilIdx{NotImplemented}}.
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.3 \dunder{mul}\DTcomment{multiply: \pythonil{a * b}\pythonIdx{*}~$\cong$~\pythonil{a.\_\_mul\_\_(b)}}.
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.3 \dunder{rmul}\DTcomment{right-multiply: \pythonil{a * b}\pythonIdx{*}~$\cong$~\pythonil{b.\_\_rmul\_\_(a)}, if \pythonil{a.\_\_mul\_\_(b)} yields~\pythonilIdx{NotImplemented}}.
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.3 \dunder{truediv}\DTcomment{divide: \pythonil{a / b}\pythonIdx{/}~$\cong$~\pythonil{a.\_\_truediv\_\_(b)}}.
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.3 \dunder{rtruediv}\DTcomment{right-divide: \pythonil{a / b}\pythonIdx{/} $\equiv$ \pythonil{b.\_\_rtruediv\_\_(a)}, if \pythonil{a.\_\_truediv\_\_(b)} yields~\pythonilIdx{NotImplemented}}.
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.3 \dunder{mod}\DTcomment{modulo-divide: \pythonil{a \% b}\pythonIdx{\%} $\equiv$ \pythonil{a.\_\_mod\_\_(b)}}.
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.3 \dunder{rmod}\DTcomment{right-modulo-divide: \pythonil{a \% b}\pythonIdx{\%} $\equiv$ \pythonil{b.\_\_rmod\_\_(a)}, if \pythonil{a.\_\_mod\_\_(b)} yields~\pythonilIdx{NotImplemented}}.
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.3 \dunder{floordiv}\DTcomment{integer-divide: \pythonil{a // b}\pythonIdx{//} $\equiv$ \pythonil{a.\_\_floordiv\_\_(b)}}.
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.3 \dunder{rfloordiv}\DTcomment{right-integer-divide: \pythonil{a // b}\pythonIdx{//} $\equiv$ \pythonil{b.\_\_rfloordiv\_\_(a)}, if \pythonil{a.\_\_floordiv\_\_(b)} yields~\pythonilIdx{NotImplemented}}.
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.3 \dunder{pow}\DTcomment{exponential: \pythonil{a ** b}\pythonIdx{**} $\equiv$ \pythonil{a.\_\_pow\_\_(b)}}.
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.3 \dunder{rpow}\DTcomment{right-exponential: \pythonil{a ** b}\pythonIdx{**} $\equiv$ \pythonil{b.\_\_rpow\_\_(a)}, if \pythonil{a.\_\_pow\_\_(b)} yields~\pythonilIdx{NotImplemented}}.
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.3 \dunder{matmul}\DTcomment{matrix-multiply: \pythonil{a @ b}\pythonIdx{@} $\equiv$ \pythonil{a.\_\_matmul\_\_(b)}}.
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.3 \dunder{rmatmul}\DTcomment{right-matrix-multiply: \pythonil{a @ b}\pythonIdx{@} $\equiv$ \pythonil{b.\_\_rmatmul\_\_(a)}, if \pythonil{a.\_\_matmul\_\_(b)} yields~\pythonilIdx{NotImplemented}}.
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.3 \dunder{rtruediv}\DTcomment{right-divide: \pythonil{a / b}\pythonIdx{/}~$\cong$~\pythonil{b.\_\_rtruediv\_\_(a)}, if \pythonil{a.\_\_truediv\_\_(b)} yields~\pythonilIdx{NotImplemented}}.
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.3 \dunder{mod}\DTcomment{modulo-divide: \pythonil{a \% b}\pythonIdx{\%}~$\cong$~\pythonil{a.\_\_mod\_\_(b)}}.
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.3 \dunder{rmod}\DTcomment{right-modulo-divide: \pythonil{a \% b}\pythonIdx{\%}~$\cong$~\pythonil{b.\_\_rmod\_\_(a)}, if \pythonil{a.\_\_mod\_\_(b)} yields~\pythonilIdx{NotImplemented}}.
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.3 \dunder{floordiv}\DTcomment{integer-divide: \pythonil{a // b}\pythonIdx{//}~$\cong$~\pythonil{a.\_\_floordiv\_\_(b)}}.
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.3 \dunder{rfloordiv}\DTcomment{right-integer-divide: \pythonil{a // b}\pythonIdx{//}~$\cong$~\pythonil{b.\_\_rfloordiv\_\_(a)}, if \pythonil{a.\_\_floordiv\_\_(b)} yields~\pythonilIdx{NotImplemented}}.
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.3 \dunder{pow}\DTcomment{exponential: \pythonil{a ** b}\pythonIdx{**}~$\cong$~\pythonil{a.\_\_pow\_\_(b)}}.
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.3 \dunder{rpow}\DTcomment{right-exponential: \pythonil{a ** b}\pythonIdx{**}~$\cong$~\pythonil{b.\_\_rpow\_\_(a)}, if \pythonil{a.\_\_pow\_\_(b)} yields~\pythonilIdx{NotImplemented}}.
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.3 \dunder{matmul}\DTcomment{matrix-multiply: \pythonil{a @ b}\pythonIdx{@}~$\cong$~\pythonil{a.\_\_matmul\_\_(b)}}.
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.3 \dunder{rmatmul}\DTcomment{right-matrix-multiply: \pythonil{a @ b}\pythonIdx{@}~$\cong$~\pythonil{b.\_\_rmatmul\_\_(a)}, if \pythonil{a.\_\_matmul\_\_(b)} yields~\pythonilIdx{NotImplemented}}.
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.3 \dunder{divmod}\DTcomment{compute the result of an integer division as well as the remainder and return them as 2-tuple: \pythonil{divmod(a, b)}\pythonIdx{divmod}~$\cong$~\pythonil{a.\_\_divmod\_\_(b)}}.
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.3 \dunder{rdivmod}\DTcomment{right-sided \pythonilIdx{divmod}: \pythonil{divmod(a, b)}\pythonIdx{divmod}~$\cong$~\pythonil{b.\_\_divmod\_\_(a)}, if \pythonil{a.\_\_divmod\_\_(b)} yields~\pythonilIdx{NotImplemented}}.
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.3 \dunder{round}\DTcomment{round: \pythonil{round(a)}\pythonIdx{round}~$\cong$~\pythonil{a.\_\_round\_\_()}}.
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.3 \dunder{trunc}\DTcomment{truncated to integer: \pythonil{math.trunc(a)}\pythonIdx{trunc}\pythonIdx{math!trunc}~$\cong$~\pythonil{a.\_\_trunc\_\_()}}.
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.3 \dunder{floor}\DTcomment{round towards~$-\infty$: \pythonil{math.floor(a)}\pythonIdx{floor}\pythonIdx{math!floor}~$\cong$~\pythonil{a.\_\_floor\_\_()}}.
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.3 \dunder{ceil}\DTcomment{round towards~$+\infty$: \pythonil{math.ceil(a)}\pythonIdx{ceil}\pythonIdx{math!ceil}~$\cong$~\pythonil{a.\_\_ceil\_\_()}}.
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.2 In-Place Arithmetics.
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.3 \dunder{iadd}\DTcomment{in-place addition: \pythonil{a += b}\pythonIdx{+=} $\equiv$ \pythonil{a.\_\_iadd\_\_(b)}, returns~\pythonilIdx{self}}.
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.3 \dunder{isub}\DTcomment{in-place subtraction: \pythonil{a -= b}\pythonIdx{-=} $\equiv$ \pythonil{a.\_\_isub\_\_(b)}, returns~\pythonilIdx{self}}.
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.3 \dunder{imul}\DTcomment{in-place multiplication: \pythonil{a *= b}\pythonIdx{*=} $\equiv$ \pythonil{a.\_\_imul\_\_(b)}, returns~\pythonilIdx{self}}.
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.3 \dunder{itruediv}\DTcomment{in-place division: \pythonil{a /= b}\pythonIdx{/=} $\equiv$ \pythonil{a.\_\_itruediv\_\_(b)}, returns~\pythonilIdx{self}}.
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.3 \dunder{imod}\DTcomment{in-place modulo division: \pythonil{a \%= b}\pythonIdx{\%=} $\equiv$ \pythonil{a.\_\_imod\_\_(b)}, returns~\pythonilIdx{self}}.
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.3 \dunder{ifloordiv}\DTcomment{in-place integer division: \pythonil{a //= b}\pythonIdx{//=} $\equiv$ \pythonil{a.\_\_ifloordiv\_\_(b)}, returns~\pythonilIdx{self}}.
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.3 \dunder{ipow}\DTcomment{in-place exponentiation: \pythonil{a **= b}\pythonIdx{**=} $\equiv$ \pythonil{a.\_\_ipow\_\_(b)}, returns~\pythonilIdx{self}}.
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.3 \dunder{imatmul}\DTcomment{in-place matrix multiplication: \pythonil{a @= b}\pythonIdx{@=} $\equiv$ \pythonil{a.\_\_imatmul\_\_(b)}, returns~\pythonilIdx{self}}.
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.3 \dunder{iadd}\DTcomment{in-place addition: \pythonil{a += b}\pythonIdx{+=}~$\cong$~\pythonil{a.\_\_iadd\_\_(b)}, returns~\pythonilIdx{self}}.
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.3 \dunder{isub}\DTcomment{in-place subtraction: \pythonil{a -= b}\pythonIdx{-=}~$\cong$~\pythonil{a.\_\_isub\_\_(b)}, returns~\pythonilIdx{self}}.
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.3 \dunder{imul}\DTcomment{in-place multiplication: \pythonil{a *= b}\pythonIdx{*=}~$\cong$~\pythonil{a.\_\_imul\_\_(b)}, returns~\pythonilIdx{self}}.
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.3 \dunder{itruediv}\DTcomment{in-place division: \pythonil{a /= b}\pythonIdx{/=}~$\cong$~\pythonil{a.\_\_itruediv\_\_(b)}, returns~\pythonilIdx{self}}.
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.3 \dunder{imod}\DTcomment{in-place modulo division: \pythonil{a \%= b}\pythonIdx{\%=}~$\cong$~\pythonil{a.\_\_imod\_\_(b)}, returns~\pythonilIdx{self}}.
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.3 \dunder{ifloordiv}\DTcomment{in-place integer division: \pythonil{a //= b}\pythonIdx{//=}~$\cong$~\pythonil{a.\_\_ifloordiv\_\_(b)}, returns~\pythonilIdx{self}}.
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.3 \dunder{ipow}\DTcomment{in-place exponentiation: \pythonil{a **= b}\pythonIdx{**=}~$\cong$~\pythonil{a.\_\_ipow\_\_(b)}, returns~\pythonilIdx{self}}.
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.3 \dunder{imatmul}\DTcomment{in-place matrix multiplication: \pythonil{a @= b}\pythonIdx{@=}~$\cong$~\pythonil{a.\_\_imatmul\_\_(b)}, returns~\pythonilIdx{self}}.
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}%
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%
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\caption{An overview of the dunder in \python\ (Part~2).}%
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\label{fig:pythonDunder:2}%
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\end{figure}%
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%
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\begin{figure}%
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\let\myoldstrut\strut%
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\renewcommand*\DTstylecomment{\relax}%
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\renewcommand*\DTstyle{\small}%
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%
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\dirtree{%
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.1 \pythonilIdx{\_\_}.
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.2 Logical or Binary Operators.
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.3 \dunder{and}\DTcomment{and: \pythonil{a & b}\pythonIdx{\&}~$\cong$~\pythonil{a.\_\_and\_\_(b)}}.
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.3 \dunder{rand}\DTcomment{and: \pythonil{a & b}\pythonIdx{\&}~$\cong$~\pythonil{b.\_\_rand\_\_(b)}, if \pythonil{a.\_\_and\_\_(b)} yields~\pythonilIdx{NotImplemented}}.
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.3 \dunder{or}\DTcomment{or: \pythonil{a | b}\pythonIdx{\textbar}~$\cong$~\pythonil{a.\_\_or\_\_(b)}}.
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.3 \dunder{ror}\DTcomment{or: \pythonil{a | b}\pythonIdx{\textbar}~$\cong$~\pythonil{b.\_\_ror\_\_(b)}, if \pythonil{a.\_\_or\_\_(b)} yields~\pythonilIdx{NotImplemented}}.
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.3 \dunder{xor}\DTcomment{exclusive or: \pythonil{a \^ b}\pythonIdx{\textasciicircum}~$\cong$~\pythonil{a.\_\_xor\_\_(b)}}.
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.3 \dunder{rxor}\DTcomment{exclusive or: \pythonil{a \^ b}\pythonIdx{\textasciicircum}~$\cong$~\pythonil{b.\_\_rxor\_\_(b)}, if \pythonil{a.\_\_xor\_\_(b)} yields~\pythonilIdx{NotImplemented}}.
1574+
.3 \dunder{rshift}\DTcomment{shift right: \pythonil{a >> b}\pythonIdx{>\myoldstrut>}~$\cong$~\pythonil{a.\_\_rshift\_\_(b)}}.
1575+
.3 \dunder{rrshift}\DTcomment{shift right: \pythonil{a >> b}\pythonIdx{>\myoldstrut>}~$\cong$~\pythonil{b.\_\_rrshift\_\_(b)}, if \pythonil{a.\_\_rshift\_\_(b)} yields~\pythonilIdx{NotImplemented}}.
1576+
.3 \dunder{lshift}\DTcomment{shift left: \pythonil{a << b}\pythonIdx{<\myoldstrut<}~$\cong$~\pythonil{a.\_\_lshift\_\_(b)}}.
1577+
.3 \dunder{rlshift}\DTcomment{shift left: \pythonil{a << b}\pythonIdx{<\myoldstrut<}~$\cong$~\pythonil{b.\_\_rlshift\_\_(b)}, if \pythonil{a.\_\_lshift\_\_(b)} yields~\pythonilIdx{NotImplemented}}.
1578+
.2 In-Place Logical or Binary Operators.
1579+
.3 \dunder{iand}\DTcomment{and: \pythonil{a &= b}\pythonIdx{\&=}~$\cong$~\pythonil{a.\_\_iand\_\_(b)}, returns~\pythonilIdx{self}}.
1580+
.3 \dunder{ior}\DTcomment{or: \pythonil{a |= b}\pythonIdx{\textbar=}~$\cong$~\pythonil{a.\_\_ior\_\_(b)}, returns~\pythonilIdx{self}}.
1581+
.3 \dunder{ixor}\DTcomment{exclusive or: \pythonil{a \^= b}\pythonIdx{\textasciicircum=}~$\cong$~\pythonil{a.\_\_ixor\_\_(b)}, returns~\pythonilIdx{self}}.
1582+
.3 \dunder{irshift}\DTcomment{shift right: \pythonil{a >>= b}\pythonIdx{>\myoldstrut>\myoldstrut=}~$\cong$~\pythonil{a.\_\_irshift\_\_(b)}, returns~\pythonilIdx{self}}.
1583+
.3 \dunder{ilshift}\DTcomment{shift left: \pythonil{a <<= b}\pythonIdx{<\myoldstrut<\myoldstrut=}~$\cong$~\pythonil{a.\_\_ilshift\_\_(b)}, returns~\pythonilIdx{self}}.
1584+
}%
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%
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\caption{An overview of the dunder in \python\ (Part~3).}%
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\label{fig:pythonDunder:3}%
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\end{figure}%
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%
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\FloatBarrier%
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\endhsection%
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%

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