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Reflect recent patch for float % and divmod() by Tim Peters. Content
updates by Tim Peters, markup by FLD.
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@ -178,8 +178,12 @@ class instances are callable if they have a \method{__call__()} method.
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operand types, the rules for binary arithmetic operators apply. For
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plain and long integers, the result is the same as
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\code{(\var{a} / \var{b}, \var{a} \%{} \var{b})}.
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For floating point numbers the result is the same as
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\code{(math.floor(\var{a} / \var{b}), \var{a} \%{} \var{b})}.
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For floating point numbers the result is \code{(\var{q}, \var{a} \%{}
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\var{b})}, where \var{q} is usually \code{math.floor(\var{a} /
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\var{b})} but may be 1 less than that. In any case \code{\var{q} *
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\var{b} + \var{a} \%{} \var{b}} is very close to \var{a}, if
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\code{\var{a} \%{} \var{b}} is non-zero it has the same sign as
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\var{b}, and \code{0 <= abs(\var{a} \%{} \var{b}) < abs(\var{b})}.
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\end{funcdesc}
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\begin{funcdesc}{eval}{expression\optional{, globals\optional{, locals}}}
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@ -583,9 +583,16 @@ The integer division and modulo operators are connected by the
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following identity: \code{x == (x/y)*y + (x\%y)}. Integer division and
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modulo are also connected with the built-in function \function{divmod()}:
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\code{divmod(x, y) == (x/y, x\%y)}. These identities don't hold for
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floating point and complex numbers; there a similar identity holds where
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\code{x/y} is replaced by \code{floor(x/y)}) or
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\code{floor((x/y).real)}, respectively.
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floating point and complex numbers; there similar identities hold
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approximately where \code{x/y} is replaced by \code{floor(x/y)}) or
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\code{floor(x/y) - 1} (for floats),\footnote{
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If x is very close to an exact integer multiple of y, it's
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possible for \code{floor(x/y)} to be one larger than
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\code{(x-x\%y)/y} due to rounding. In such cases, Python returns
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the latter result, in order to preserve that \code{divmod(x,y)[0]
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* y + x \%{} y} be very close to \code{x}.
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} or \code{floor((x/y).real)} (for
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complex).
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The \code{+} (addition) operator yields the sum of its arguments.
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The arguments must either both be numbers or both sequences of the
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