Add pictures for choice section. Update section on function application
authorChristiaan Baaij <baaijcpr@wlan228123.mobiel.utwente.nl>
Mon, 22 Feb 2010 08:30:46 +0000 (09:30 +0100)
committerChristiaan Baaij <baaijcpr@wlan228123.mobiel.utwente.nl>
Mon, 22 Feb 2010 08:30:46 +0000 (09:30 +0100)
choice-case.svg [new file with mode: 0644]
choice-ifthenelse.svg [new file with mode: 0644]
cλash.lhs
mac-nocurry.svg
mac.svg

diff --git a/choice-case.svg b/choice-case.svg
new file mode 100644 (file)
index 0000000..7d6c9d6
--- /dev/null
@@ -0,0 +1,588 @@
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diff --git a/choice-ifthenelse.svg b/choice-ifthenelse.svg
new file mode 100644 (file)
index 0000000..c08068c
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@@ -63,6 +63,7 @@
 % should be used if it is desired that the figures are to be displayed in
 % draft mode.
 %
 % should be used if it is desired that the figures are to be displayed in
 % draft mode.
 %
+
 \documentclass[conference,pdf,a4paper,10pt,final,twoside,twocolumn]{IEEEtran}
 % Add the compsoc option for Computer Society conferences.
 %
 \documentclass[conference,pdf,a4paper,10pt,final,twoside,twocolumn]{IEEEtran}
 % Add the compsoc option for Computer Society conferences.
 %
@@ -93,9 +94,6 @@
 
 
 
 
 
 
-
-
-
 % *** CITATION PACKAGES ***
 %
 \usepackage{cite}
 % *** CITATION PACKAGES ***
 %
 \usepackage{cite}
 \usepackage{xcolor}
 \def\comment#1{{\color[rgb]{1.0,0.0,0.0}{#1}}}
 
 \usepackage{xcolor}
 \def\comment#1{{\color[rgb]{1.0,0.0,0.0}{#1}}}
 
+\usepackage{cleveref}
+\crefname{figure}{figure}{figures}
+\newcommand{\fref}[1]{\cref{#1}} 
+\newcommand{\Fref}[1]{\Cref{#1}}
+
+
 %include polycode.fmt
 %include clash.fmt
 
 %include polycode.fmt
 %include clash.fmt
 
@@ -526,43 +530,44 @@ by an optimizing \VHDL\ synthesis tools.
 
   \subsection{Function application}
     The basic syntactic elements of a functional program are functions
 
   \subsection{Function application}
     The basic syntactic elements of a functional program are functions
-    and function application. These have a single obvious \VHDL\
-    translation: each top level function becomes a hardware component,
-    where each argument is an input port and the result value is the
-    (single) output port. This output port can have a complex type (such
-    as a tuple), so having just a single output port does not create a
-    limitation.
-
-    Each function application in turn becomes a component instantiation.
-    Here, the result of each argument expression is assigned to a
-    signal, which is mapped to the corresponding input port. The output
-    port of the function is also mapped to a signal, which is used as
-    the result of the application itself.
+    and function application. These have a single obvious translation to a 
+    netlist: every function becomes a component, every function argument is an
+    input port and the result value is of a function is an output port. This 
+    output port can have a complex type (such as a tuple), so having just a 
+    single output port does not create a limitation. Each function application 
+    in turn becomes a component instantiation. Here, the result of each 
+    argument expression is assigned to a signal, which is mapped to the 
+    corresponding input port. The output port of the function is also mapped 
+    to a signal, which is used as the result of the application itself.
 
     Since every top level function generates its own component, the
 
     Since every top level function generates its own component, the
-    hierarchy of function calls is reflected in the final \VHDL\
-    output as well, creating a hierarchical \VHDL\ description of the
-    hardware.  This separation in different components makes the
-    resulting \VHDL\ output easier to read and debug.
-
-    Example that defines the \texttt{mac} function by applying the
-    \texttt{add} and \texttt{mul} functions to calculate $a * b + c$:
-
-\begin{code}
-mac a b c = add (mul a b) c
-\end{code}
-
-\begin{figure}
-\centerline{\includegraphics{mac}}
-\caption{Combinatorial Multiply-Accumulate (curried)}
-\label{img:mac-comb}
-\end{figure}
-
-\begin{figure}
-\centerline{\includegraphics{mac-nocurry}}
-\caption{Combinatorial Multiply-Accumulate (uncurried)}
-\label{img:mac-comb-nocurry}
-\end{figure}
+    hierarchy of function calls is reflected in the final netlist aswell, 
+    creating a hierarchical description of the hardware. This separation in 
+    different components makes the resulting \VHDL\ output easier to read and 
+    debug.
+
+    As an example we can see the netlist of the |mac| function in
+    \Cref{img:mac-comb}; the |mac| function applies both the |mul| and |add|
+    function to calculate $a * b + c$:
+    \begin{code}
+    mac a b c = add (mul a b) c
+    \end{code}
+    \begin{figure}
+    \centerline{\includegraphics{mac}}
+    \caption{Combinatorial Multiply-Accumulate}
+    \label{img:mac-comb}
+    \end{figure}
+    The result of using a complex input type can be seen in 
+    \cref{img:mac-comb-nocurry} where the |mac| function now uses a single
+    input tuple for the |a|, |b|, and |c| arguments:
+    \begin{code}
+    mac (a, b, c) = add (mul a b) c
+    \end{code}
+    \begin{figure}
+    \centerline{\includegraphics{mac-nocurry}}
+    \caption{Combinatorial Multiply-Accumulate (complex input)}
+    \label{img:mac-comb-nocurry}
+    \end{figure}
 
   \subsection{Choices}
     Although describing components and connections allows describing a
 
   \subsection{Choices}
     Although describing components and connections allows describing a
@@ -613,7 +618,17 @@ mac a b c = add (mul a b) c
     sumif _ _ _     = 0
     \end{code}
 
     sumif _ _ _     = 0
     \end{code}
 
-  \comment{TODO: Pretty picture}
+    \begin{figure}
+    \centerline{\includegraphics{choice-ifthenelse}}
+    \caption{Choice - \emph{if-then-else}}
+    \label{img:choice}
+    \end{figure}
+
+    \begin{figure}
+    \centerline{\includegraphics{choice-case}}
+    \caption{Choice - \emph{case-statement / pattern matching}}
+    \label{img:choice}
+    \end{figure}
 
   \subsection{Types}
     Translation of two most basic functional concepts has been
 
   \subsection{Types}
     Translation of two most basic functional concepts has been
index 9da1b98f2e1d54a1ed670ca2e19b6980d5feb0f3..bc3450d8e32ca58acde1501748efa6a3e9efc240 100644 (file)
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    d="m 239.53,657.66 v -0.49 l 1.82,0.06 v 0.47 c -0.61,0 -0.69,0 -0.69,0.39 v 6.06 l -1.76,-0.08 v -0.47 c 0.62,0 0.69,0 0.69,-0.39 v -1.94 c -0.5,0.39 -1.02,0.45 -1.35,0.45 -1.45,0 -2.5,-0.88 -2.5,-2.29 0,-1.31 0.92,-2.26 2.39,-2.26 l 0.1,0.36 c -1.21,0 -1.21,1.21 -1.21,1.9 0,0.48 0,1.02 0.26,1.41 0.29,0.42 0.76,0.52 1.06,0.52 0.57,0 0.97,-0.32 1.19,-0.61 h 0 v -2.49 c -0.13,-0.18 -0.54,-0.73 -1.3,-0.73 l -0.1,-0.36 c 0.61,0 1.09,0.24 1.4,0.49 z"
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    style="fill:#000000;stroke-width:0"
    d="m 239.53,657.66 v -0.49 l 1.82,0.06 v 0.47 c -0.61,0 -0.69,0 -0.69,0.39 v 6.06 l -1.76,-0.08 v -0.47 c 0.62,0 0.69,0 0.69,-0.39 v -1.94 c -0.5,0.39 -1.02,0.45 -1.35,0.45 -1.45,0 -2.5,-0.88 -2.5,-2.29 0,-1.31 0.92,-2.26 2.39,-2.26 l 0.1,0.36 c -1.21,0 -1.21,1.21 -1.21,1.9 0,0.48 0,1.02 0.26,1.41 0.29,0.42 0.76,0.52 1.06,0.52 0.57,0 0.97,-0.32 1.19,-0.61 h 0 v -2.49 c -0.13,-0.18 -0.54,-0.73 -1.3,-0.73 l -0.1,-0.36 c 0.61,0 1.09,0.24 1.4,0.49 z"
-   id="path2894" />
+   id="path3421" />
 </g>    <g
 </g>    <g
+       style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"
        ns0:preamble=""
        ns0:preamble=""
-       ns0:text="\\textbf{mul}\n"
+       ns0:text="$\\mathbf{mac}$\n\n\n"
        word-spacing="normal"
        letter-spacing="normal"
        font-size-adjust="none"
        word-spacing="normal"
        letter-spacing="normal"
        font-size-adjust="none"
        font-style="normal"
        stroke-miterlimit="10.433"
        xml:space="preserve"
        font-style="normal"
        stroke-miterlimit="10.433"
        xml:space="preserve"
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-       style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;letter-spacing:normal;word-spacing:normal;text-anchor:start;fill:none;stroke:#000000;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10.43299961;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0">
+       transform="matrix(1,0,0,-1,202.405,1218.0698)"
+       id="g3705">
 <path
 <path
-   id="path2976"
+   id="path3707"
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    style="fill:#000000;stroke-width:0" />
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    d="m 224.57,660.78 v -3.08 h -0.69 v -0.47 c 0.28,0.01 0.88,0.03 1.26,0.03 0.38,0 0.97,-0.02 1.25,-0.03 v 0.47 h -0.69 v 2.08 c 0,1.09 0.87,1.58 1.49,1.58 0.34,0 0.56,-0.2 0.56,-0.97 v -2.69 h -0.69 v -0.47 c 0.28,0.01 0.88,0.03 1.25,0.03 0.39,0 0.98,-0.02 1.26,-0.03 v 0.47 h -0.69 v 2.08 c 0,1.09 0.87,1.58 1.49,1.58 0.34,0 0.55,-0.2 0.55,-0.97 v -2.69 h -0.68 v -0.47 c 0.28,0.01 0.87,0.03 1.25,0.03 0.39,0 0.98,-0.02 1.26,-0.03 v 0.47 h -0.69 v 2.58 c 0,1.03 -0.51,1.44 -1.53,1.44 -0.91,0 -1.43,-0.5 -1.69,-0.96 -0.2,0.93 -1.11,0.96 -1.49,0.96 -0.87,0 -1.44,-0.45 -1.76,-1.08 v 1.08 l -1.71,-0.08 v -0.47 c 0.62,0 0.69,0 0.69,-0.39 z"
    style="fill:#000000;stroke-width:0" />
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-   id="path2978"
-   d="m 237.02,657.95 v -0.78 l 1.77,0.06 v 0.47 c -0.62,0 -0.69,0 -0.69,0.39 v 3.63 l -1.83,-0.08 v -0.47 c 0.62,0 0.69,0 0.69,-0.39 v -1.9 c 0,-0.82 -0.51,-1.35 -1.23,-1.35 -0.77,0 -0.8,0.25 -0.8,0.79 v 3.4 l -1.82,-0.08 v -0.47 c 0.61,0 0.68,0 0.68,-0.39 v -2.32 c 0,-1.07 0.81,-1.29 1.8,-1.29 0.26,0 0.97,0 1.43,0.78 z"
+   id="path3709"
+   d="m 236.71,658 0,-0.06 0,-0.06 0,-0.03 0,-0.04 0.01,-0.03 0,-0.03 0.01,-0.03 0.01,-0.03 0.01,-0.04 0.01,-0.03 0.02,-0.03 0.01,-0.03 0.02,-0.03 0.03,-0.03 0.02,-0.03 0.03,-0.02 0.03,-0.03 0.02,-0.01 0.02,-0.02 0.02,-0.01 0.02,-0.01 0.02,-0.01 0.02,-0.01 0.03,-0.01 0.02,-0.01 0.03,-0.01 0.02,-0.01 0.03,-0.01 0.03,-0.01 0.03,-0.01 0.03,0 0.03,-0.01 0.04,-0.01 0.03,0 0.04,-0.01 0.04,0 0.04,-0.01 0.04,0 0.04,0 0.04,0 0.05,-0.01 0.04,0 0.05,0 h 0.48 c 0.2,0 0.32,0 0.32,0.24 0,0.23 -0.13,0.23 -0.26,0.23 -0.61,0.01 -0.61,0.14 -0.61,0.37 v 2.14 c 0,0.89 -0.71,1.54 -2.19,1.54 -0.57,0 -1.78,-0.04 -1.78,-0.92 0,-0.44 0.35,-0.63 0.62,-0.63 0.3,0 0.62,0.21 0.62,0.63 0,0.3 -0.19,0.47 -0.22,0.49 0.28,0.06 0.6,0.07 0.72,0.07 0.75,0 1.1,-0.42 1.1,-1.18 v -0.34 -0.31 -0.94 c 0,-0.96 -0.92,-1.09 -1.17,-1.09 -0.51,0 -0.91,0.35 -0.91,0.79 0,1.07 1.58,1.21 2.08,1.24 h 0 v 0.31 c -0.71,-0.03 -3.24,-0.12 -3.24,-1.56 0,-0.96 1.23,-1.14 1.92,-1.14 0.8,0 1.27,0.41 1.49,0.83 z"
    style="fill:#000000;stroke-width:0" />
 <path
    style="fill:#000000;stroke-width:0" />
 <path
-   id="path2980"
-   d="m 241.26,664.15 -1.77,-0.08 v -0.47 c 0.62,0 0.69,0 0.69,-0.39 v -5.51 h -0.69 v -0.47 c 0.32,0.01 0.8,0.03 1.23,0.03 0.43,0 0.88,-0.02 1.22,-0.03 v 0.47 h -0.68 z"
+   id="path3711"
+   d="m 242.13,661.29 -0.01,-0.02 -0.02,-0.01 -0.01,-0.02 -0.02,-0.01 -0.01,-0.02 -0.01,-0.02 -0.01,-0.01 -0.02,-0.02 -0.01,-0.02 0,-0.01 -0.01,-0.02 -0.01,-0.01 -0.01,-0.02 0,-0.02 -0.01,-0.01 -0.01,-0.02 0,-0.01 0,-0.02 -0.01,-0.01 0,-0.02 -0.01,-0.01 0,-0.02 0,-0.01 0,-0.01 0,-0.02 0,-0.01 -0.01,-0.01 0,-0.01 0,-0.01 0,-0.01 0,-0.01 0,-0.01 c 0,-0.44 0.35,-0.63 0.62,-0.63 0.31,0 0.63,0.21 0.63,0.63 0,0.86 -1.16,0.92 -1.74,0.92 -1.78,0 -2.52,-1.15 -2.52,-2.31 0,-1.32 0.94,-2.27 2.47,-2.27 1.62,0 1.92,1.16 1.92,1.23 0,0.14 -0.14,0.14 -0.24,0.14 -0.18,0 -0.19,-0.02 -0.24,-0.15 -0.26,-0.63 -0.74,-0.82 -1.25,-0.82 -1.38,0 -1.38,1.47 -1.38,1.92 0,0.56 0,1.86 1.28,1.86 0.35,0 0.52,-0.03 0.65,-0.06 z"
    style="fill:#000000;stroke-width:0" />
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 </svg>
    style="fill:#000000;stroke-width:0" />
 </g>  </g>
 </svg>
diff --git a/mac.svg b/mac.svg
index 749b4d3ee943cec4b13e31f68dfb1b31de86f7bf..8adad814f8633c44c4e9a85978e7a344b0d62e19 100644 (file)
--- a/mac.svg
+++ b/mac.svg
@@ -2,6 +2,7 @@
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 <svg
 <!-- Created with Inkscape (http://www.inkscape.org/) -->
 
 <svg
+   xmlns:ns0="http://www.iki.fi/pav/software/textext/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:cc="http://creativecommons.org/ns#"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:cc="http://creativecommons.org/ns#"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
@@ -10,7 +11,7 @@
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    xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
    width="131.25"
    xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
    xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
    width="131.25"
-   height="62.050003"
+   height="61.984081"
    id="svg2"
    version="1.1"
    inkscape:version="0.47 r22583"
    id="svg2"
    version="1.1"
    inkscape:version="0.47 r22583"
      borderopacity="1.0"
      inkscape:pageopacity="0.0"
      inkscape:pageshadow="2"
      borderopacity="1.0"
      inkscape:pageopacity="0.0"
      inkscape:pageshadow="2"
-     inkscape:zoom="3.5188563"
-     inkscape:cx="60.13205"
-     inkscape:cy="37.003824"
+     inkscape:zoom="4.3090862"
+     inkscape:cx="81.397466"
+     inkscape:cy="60.202887"
      inkscape:document-units="px"
      inkscape:current-layer="layer1"
      inkscape:document-units="px"
      inkscape:current-layer="layer1"
-     showgrid="true"
+     showgrid="false"
      inkscape:snap-grids="true"
      inkscape:window-width="1091"
      inkscape:window-height="838"
      inkscape:snap-grids="true"
      inkscape:window-width="1091"
      inkscape:window-height="838"
        type="xygrid" />
   </sodipodi:namedview>
   <defs
        type="xygrid" />
   </sodipodi:namedview>
   <defs
-     id="defs4"><marker
-   style="overflow:visible"
-   id="Arrow1Mend"
-   refX="0"
-   refY="0"
-   orient="auto"
-   inkscape:stockid="Arrow1Mend">
-  <path
-     transform="matrix(-0.4,0,0,-0.4,-4,0)"
-     style="fill-rule:evenodd;stroke:#000000;stroke-width:1pt;marker-start:none"
-     d="M 0,0 5,-5 -12.5,0 5,5 0,0 z"
-     id="path3732" />
-</marker>
-<marker
-   style="overflow:visible"
-   id="Arrow1Send"
-   refX="0"
-   refY="0"
-   orient="auto"
-   inkscape:stockid="Arrow1Send">
-  <path
-     transform="matrix(-0.2,0,0,-0.2,-1.2,0)"
-     style="fill-rule:evenodd;stroke:#000000;stroke-width:1pt;marker-start:none"
-     d="M 0,0 5,-5 -12.5,0 5,5 0,0 z"
-     id="path3738" />
-</marker>
-<inkscape:perspective
-   id="perspective10"
-   inkscape:persp3d-origin="372.04724 : 350.78739 : 1"
-   inkscape:vp_z="744.09448 : 526.18109 : 1"
-   inkscape:vp_y="0 : 1000 : 0"
-   inkscape:vp_x="0 : 526.18109 : 1"
-   sodipodi:type="inkscape:persp3d" />
-<inkscape:perspective
-   sodipodi:type="inkscape:persp3d"
-   inkscape:vp_x="0 : 0.5 : 1"
-   inkscape:vp_y="0 : 1000 : 0"
-   inkscape:vp_z="1 : 0.5 : 1"
-   inkscape:persp3d-origin="0.5 : 0.33333333 : 1"
-   id="perspective3098" />
-<inkscape:perspective
-   sodipodi:type="inkscape:persp3d"
-   inkscape:vp_x="0 : 0.5 : 1"
-   inkscape:vp_y="0 : 1000 : 0"
-   inkscape:vp_z="1 : 0.5 : 1"
-   inkscape:persp3d-origin="0.5 : 0.33333333 : 1"
-   id="perspective3128" />
-
-
-
-
-
-
-
-
-
-
-
-
-
-</defs>
+     id="defs4">
+    <marker
+       style="overflow:visible"
+       id="Arrow1Mend"
+       refX="0"
+       refY="0"
+       orient="auto"
+       inkscape:stockid="Arrow1Mend">
+      <path
+         transform="matrix(-0.4,0,0,-0.4,-4,0)"
+         style="fill-rule:evenodd;stroke:#000000;stroke-width:1pt;marker-start:none"
+         d="M 0,0 5,-5 -12.5,0 5,5 0,0 z"
+         id="path3732" />
+    </marker>
+    <marker
+       style="overflow:visible"
+       id="Arrow1Send"
+       refX="0"
+       refY="0"
+       orient="auto"
+       inkscape:stockid="Arrow1Send">
+      <path
+         transform="matrix(-0.2,0,0,-0.2,-1.2,0)"
+         style="fill-rule:evenodd;stroke:#000000;stroke-width:1pt;marker-start:none"
+         d="M 0,0 5,-5 -12.5,0 5,5 0,0 z"
+         id="path3738" />
+    </marker>
+    <inkscape:perspective
+       id="perspective10"
+       inkscape:persp3d-origin="372.04724 : 350.78739 : 1"
+       inkscape:vp_z="744.09448 : 526.18109 : 1"
+       inkscape:vp_y="0 : 1000 : 0"
+       inkscape:vp_x="0 : 526.18109 : 1"
+       sodipodi:type="inkscape:persp3d" />
+    <inkscape:perspective
+       sodipodi:type="inkscape:persp3d"
+       inkscape:vp_x="0 : 0.5 : 1"
+       inkscape:vp_y="0 : 1000 : 0"
+       inkscape:vp_z="1 : 0.5 : 1"
+       inkscape:persp3d-origin="0.5 : 0.33333333 : 1"
+       id="perspective3098" />
+    <inkscape:perspective
+       sodipodi:type="inkscape:persp3d"
+       inkscape:vp_x="0 : 0.5 : 1"
+       inkscape:vp_y="0 : 1000 : 0"
+       inkscape:vp_z="1 : 0.5 : 1"
+       inkscape:persp3d-origin="0.5 : 0.33333333 : 1"
+       id="perspective3128" />
+  </defs>
   <metadata
      id="metadata7">
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   <metadata
      id="metadata7">
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   <g
     </rdf:RDF>
   </metadata>
   <g
-     transform="translate(-379,-556.29948)"
+     transform="translate(-379,-556.3654)"
      id="layer1"
      inkscape:groupmode="layer"
      inkscape:label="Layer 1">
      id="layer1"
      inkscape:groupmode="layer"
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        d="m 434.5,583.34948 9,0 0,5 9,0"
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        style="fill:none;stroke:#000000;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;marker-end:url(#Arrow1Mend)" />
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