<div dir="ltr"><div><div><div><div>Good morning,<br><br></div>I have been coding a filter that implements an iterative procedure on images. I have tried the straight forward implementation of updating a temporal image on the recursion loop but results are wrong. The correct result is obtained when I explicitly unroll the pipeline although it becomes harder to code for more complex pipelines, and I am concerned about the scalability on the number of recursions.<br>
<br></div>Could you give me some ideas to work this point out. Is there a way to implement a straight forward way in itk? Here the code that illustrates the point on recursively adding images:<br><br></div>----- code 1 -------------<br>
<span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,0,128)">std</span><span style="color:rgb(0,0,0)">::</span>cout<span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)"><<</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,128,0)">"Recursion</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,128,0)">on</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,128,0)">image</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,128,0)">pointer"</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)"><<</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,0,128)">std</span><span style="color:rgb(0,0,0)">::</span>endl<span style="color:rgb(0,0,0)">;</span>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span>ImageType<span style="color:rgb(0,0,0)">::</span>Pointer<span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">image1</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">=</span><span style="color:rgb(192,192,192)"> </span>ImageType<span style="color:rgb(0,0,0)">::</span>New<span style="color:rgb(0,0,0)">();</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">image1</span><span style="color:rgb(0,0,0)">-></span>SetRegions<span style="color:rgb(0,0,0)">(</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">region</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">);</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">image1</span><span style="color:rgb(0,0,0)">-></span>Allocate<span style="color:rgb(0,0,0)">();</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">image1</span><span style="color:rgb(0,0,0)">-></span>FillBuffer<span style="color:rgb(0,0,0)">(</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,128)">1</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">);</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span>AdderType<span style="color:rgb(0,0,0)">::</span>Pointer<span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">adder</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">=</span><span style="color:rgb(192,192,192)"> </span>AdderType<span style="color:rgb(0,0,0)">::</span>New<span style="color:rgb(0,0,0)">();</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">adder</span><span style="color:rgb(0,0,0)">-></span>SetInput1<span style="color:rgb(0,0,0)">(</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">image1</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">);</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">adder</span><span style="color:rgb(0,0,0)">-></span>SetInput2<span style="color:rgb(0,0,0)">(</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">image1</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">);</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">adder</span><span style="color:rgb(0,0,0)">-></span>Update<span style="color:rgb(0,0,0)">();</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span>ImageType<span style="color:rgb(0,0,0)">::</span>Pointer<span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">tmpImage</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">=</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">adder</span><span style="color:rgb(0,0,0)">-></span>GetOutput<span style="color:rgb(0,0,0)">();</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,0,128)">std</span><span style="color:rgb(0,0,0)">::</span>cout<span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)"><<</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,128,0)">"start:</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,128,0)">"</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)"><<</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">image1</span><span style="color:rgb(0,0,0)">-></span>GetPixel<span style="color:rgb(0,0,0)">(</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">index</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">)</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)"><<</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,0,128)">std</span><span style="color:rgb(0,0,0)">::</span>endl<span style="color:rgb(0,0,0)">;</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,128,0)">const</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,128,0)">unsigned</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,128,0)">short</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">N</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">=</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,128)">10</span><span style="color:rgb(0,0,0)">;</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,128,0)">for</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">(</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,128,0)">unsigned</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,128,0)">short</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">k</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">=</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,128)">0</span><span style="color:rgb(0,0,0)">;</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">k</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)"><</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">N</span><span style="color:rgb(0,0,0)">;</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">k</span><span style="color:rgb(0,0,0)">++</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">)</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">{</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">adder</span><span style="color:rgb(0,0,0)">-></span>Update<span style="color:rgb(0,0,0)">();</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">tmpImage</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">=</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">adder</span><span style="color:rgb(0,0,0)">-></span>GetOutput<span style="color:rgb(0,0,0)">();</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,0,128)">std</span><span style="color:rgb(0,0,0)">::</span>cout<span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)"><<</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">k</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)"><<</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,128,0)">"</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,128,0)">"</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)"><<</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">tmpImage</span><span style="color:rgb(0,0,0)">-></span>GetPixel<span style="color:rgb(0,0,0)">(</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">index</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">)</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)"><<</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,0,128)">std</span><span style="color:rgb(0,0,0)">::</span>endl<span style="color:rgb(0,0,0)">;</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">adder</span><span style="color:rgb(0,0,0)">-></span>SetInput1<span style="color:rgb(0,0,0)">(</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">tmpImage</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">);</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">adder</span><span style="color:rgb(0,0,0)">-></span>SetInput2<span style="color:rgb(0,0,0)">(</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">image1</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">);</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">}</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,0,128)">std</span><span style="color:rgb(0,0,0)">::</span>cout<span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)"><<</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,0,128)">std</span><span style="color:rgb(0,0,0)">::</span>endl<span style="color:rgb(0,0,0)">;</span></pre>
</div>--- end of 1 --------------<br><br><div><div>Code 1 produces the following output:<br>-----------------------------------------------<br>Recursion on image pointer<br>start: 1<br>0 2<br>1 3<br>2 3<br>3 3<br>4 4<br>5 4<br>
6 4<br>7 5<br>8 5<br>9 5<br>---------------------------------------------<br></div><div><br></div><div>The explicit pipeline unroll is illustrated in code 2<br></div><div><br>--- code 2 -----------------------------------------------<br>
<span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,0,128)">std</span><span style="color:rgb(0,0,0)">::</span>cout<span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)"><<</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,128,0)">"Pipeline</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,128,0)">explicit</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,128,0)">unroll</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,128,0)">recursion"</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)"><<</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,0,128)">std</span><span style="color:rgb(0,0,0)">::</span>endl<span style="color:rgb(0,0,0)">;</span>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,0,128)">std</span><span style="color:rgb(0,0,0)">::</span><span style="color:rgb(128,0,128)">vector</span><span style="color:rgb(0,0,0)"><</span><span style="color:rgb(192,192,192)"> </span>AdderType<span style="color:rgb(0,0,0)">::</span>Pointer<span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">></span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">adders</span><span style="color:rgb(0,0,0)">(</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">N</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">);</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">adders</span><span style="color:rgb(0,0,0)">[</span><span style="color:rgb(0,0,128)">0</span><span style="color:rgb(0,0,0)">]</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">=</span><span style="color:rgb(192,192,192)"> </span>AdderType<span style="color:rgb(0,0,0)">::</span>New<span style="color:rgb(0,0,0)">();</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">adders</span><span style="color:rgb(0,0,0)">[</span><span style="color:rgb(0,0,128)">0</span><span style="color:rgb(0,0,0)">]-></span>SetInput1<span style="color:rgb(0,0,0)">(</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">image1</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">);</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">adders</span><span style="color:rgb(0,0,0)">[</span><span style="color:rgb(0,0,128)">0</span><span style="color:rgb(0,0,0)">]-></span>SetInput2<span style="color:rgb(0,0,0)">(</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">image1</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">);</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,0,128)">std</span><span style="color:rgb(0,0,0)">::</span>cout<span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)"><<</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,128,0)">"start:</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,128,0)">"</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)"><<</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">image1</span><span style="color:rgb(0,0,0)">-></span>GetPixel<span style="color:rgb(0,0,0)">(</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">index</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">)</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)"><<</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,0,128)">std</span><span style="color:rgb(0,0,0)">::</span>endl<span style="color:rgb(0,0,0)">;</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,128,0)">//</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,128,0)">connections</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,128,0)">for</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">(</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,128,0)">unsigned</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,128,0)">short</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">k</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">=</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,128)">1</span><span style="color:rgb(0,0,0)">;</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">k</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)"><</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">N</span><span style="color:rgb(0,0,0)">;</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">k</span><span style="color:rgb(0,0,0)">++</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">)</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">{</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">adders</span><span style="color:rgb(0,0,0)">[</span><span style="color:rgb(0,0,0)">k</span><span style="color:rgb(0,0,0)">]</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">=</span><span style="color:rgb(192,192,192)"> </span>AdderType<span style="color:rgb(0,0,0)">::</span>New<span style="color:rgb(0,0,0)">();</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">adders</span><span style="color:rgb(0,0,0)">[</span><span style="color:rgb(0,0,0)">k</span><span style="color:rgb(0,0,0)">]-></span>SetInput1<span style="color:rgb(0,0,0)">(</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">adders</span><span style="color:rgb(0,0,0)">[</span><span style="color:rgb(0,0,0)">k</span><span style="color:rgb(0,0,0)">-</span><span style="color:rgb(0,0,128)">1</span><span style="color:rgb(0,0,0)">]-></span>GetOutput<span style="color:rgb(0,0,0)">()</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">);</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">adders</span><span style="color:rgb(0,0,0)">[</span><span style="color:rgb(0,0,0)">k</span><span style="color:rgb(0,0,0)">]-></span>SetInput2<span style="color:rgb(0,0,0)">(</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">image1</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">);</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">}</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,128,0)">//</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,128,0)">execution</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">adders</span><span style="color:rgb(0,0,0)">[</span><span style="color:rgb(0,0,0)">N</span><span style="color:rgb(0,0,0)">-</span><span style="color:rgb(0,0,128)">1</span><span style="color:rgb(0,0,0)">]-></span>Update<span style="color:rgb(0,0,0)">();</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,128,0)">for</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">(</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,128,0)">unsigned</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,128,0)">short</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">k</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">=</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,128)">0</span><span style="color:rgb(0,0,0)">;</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">k</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)"><</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">N</span><span style="color:rgb(0,0,0)">;</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">k</span><span style="color:rgb(0,0,0)">++</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">)</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">{</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,0,128)">std</span><span style="color:rgb(0,0,0)">::</span>cout<span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)"><<</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">k</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)"><<</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,128,0)">"</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,128,0)">"</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)"><<</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">adders</span><span style="color:rgb(0,0,0)">[</span><span style="color:rgb(0,0,0)">k</span><span style="color:rgb(0,0,0)">]-></span>GetOutput<span style="color:rgb(0,0,0)">()-></span>GetPixel<span style="color:rgb(0,0,0)">(</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">index</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">)</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)"><<</span><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(128,0,128)">std</span><span style="color:rgb(0,0,0)">::</span>endl<span style="color:rgb(0,0,0)">;</span></pre>
<pre style="margin:0px;text-indent:0px"><span style="color:rgb(192,192,192)"> </span><span style="color:rgb(0,0,0)">}</span></pre>
<br></div><div>--- end of code 2 --------------------------------------<br></div><div><br></div><div>Pipeline explicit unroll recursion<br>start: 1<br>0 2<br>1 3<br>2 4<br>3 5<br>4 6<br>5 7<br>6 8<br>7 9<br>8 10<br>9 11<br>
<div><div><div>------------------------------------<br><br></div><div>Find attached complete code file, thank you for your help<br><br>------<br clear="all"></div><div><div><div dir="ltr">Nicolás Gallego-Ortiz<br>Université catholique de Louvain, Belgium<br>
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