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Specification language to describe flat conversions and aggregate splats. #358

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Specification language to describe flat conversions and aggregate splats. #358

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49 changes: 49 additions & 0 deletions specs/language/conversions.tex
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Expand Up @@ -118,6 +118,19 @@
of boolean type. A zero value is converted to \texttt{false}; all other values
are converted to \texttt{true}.

\Sec{Flat conversion}{Conv.flat}

\p There is a flattened order of subobjects for an aggregate, \texttt{A},
\texttt{A$^\prime$}, as described in section \ref{Decl.Init.Agg}. An aggregate,
\texttt{A}, can be flat converted to an aggregate, \texttt{B}, whose flattened
form is \texttt{B$^\prime$}, if the following conditions are true:
\begin{itemize}
\item The length of \texttt{A$^\prime$}, \texttt{N}, is greater than or equal to the
length of \texttt{B$^\prime$}, \texttt{M}.
\item For every index \texttt{I} from \texttt{0} to \texttt{M-1}, there exists an
implicit conversion from \texttt{A$^\prime$[I]} to \texttt{B$^\prime$[I]}.
\end{itemize}

\Sec{Vector splat conversion}{Conv.vsplat}

\p A glvalue of type \texttt{T} can be converted to a cxvalue of type
Expand All @@ -130,6 +143,42 @@
prvalue of type \texttt{matrix<T,x,y>}. The destination value is the source
value replicated into each element of the destination.

\p A glvalue of type \texttt{vector<T,1>} can be converted to a cxvalue of type
\texttt{vector<T,x>} or a prvalue of type \texttt{vector<T,1>} can be converted
to a prvalue of type \texttt{vector<T,x>}. The destination value is the value in
the source vector replicated into each element of the destination.

\Sec{Array and Class splat conversion}{Conv.asplat}

\p A glvalue of type \texttt{T} can be converted to a cxvalue of type
\texttt{struct S} or a prvalue of type \texttt{T} can be converted to a
prvalue of type \texttt{struct S}, if there are valid conversions from
\texttt{T} to each \texttt{U} in flattened \texttt{S}, see section
\ref{Decl.init.Agg} for description of a flattened ordering. The destination
value is the source value \texttt{T} replicated into each element of the
flattened \texttt{S}.

\p A glvalue of type \texttt{vector<T,1>} can be converted to a cxvalue of type
\texttt{struct S} or a prvalue of type \texttt{vector<T,1>} can be converted to a
prvalue of type \texttt{struct S}, if there are valid conversions from
\texttt{T} to each \texttt{U} in flattened \texttt{S}. The destination value is
the value in the source vector replicated into each element of the flattened
\texttt{S}.

\p A glvalue of type \texttt{T} can be converted to a cxvalue of type
\texttt{U[]} or a prvalue of type \texttt{T} can be converted to a
prvalue of type \texttt{U[]}, if there are valid conversions from
\texttt{T} to each \texttt{V} in flattened \texttt{U}. The destination value
is the source value \texttt{T} replicated into each element of the flattened
\texttt{U[]}.

\p A glvalue of type \texttt{vector<T,1>} can be converted to a cxvalue of type
\texttt{U[]} or a prvalue of type \texttt{vector<T,1>} can be converted to a
prvalue of type \texttt{U[]}, if there are valid conversions from
\texttt{T} to each \texttt{V} in flattened \texttt{U}. The destination value
is the value in the source vector replicated into each element of the flattened
\texttt{U[]}.

\Sec{Vector and matrix truncation conversion}{Conv.vtrunc}

\p A prvalue of type \texttt{vector<T,x>} can be converted to a prvalue of type:
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