Though in local minima which took me almost 4 weeks I kept revolving into it and the result was by last week - [image: Screenshot from 2024-07-06 19-47-52.png] [image: Screenshot from 2024-07-06 19-55-52.png] ```bash *i/p*- 12,10,15,16,14 *o/p* - Entering createShapes() xSeriesTarget is valid: true xTextTarget is valid: true m_nBins: 2, m_fBinWidth: 3 minValue: 10, maxValue: 16 m_binRanges: {10, 13} {13, 16} m_binFrequencies: 3 2 Bin ranges size: 2 Bin frequencies size: 2 Entering doXSlot() for bin index: 0 Bar dimensions - X: 0.25, Width: 0.5, Height: 1 Exiting doXSlot() Entering doXSlot() for bin index: 1 Bar dimensions - X: 0.75, Width: 0.5, Height: 0.666667 Exiting doXSlot() Exiting createShapes( ``` I was able to have the bars which were 2 as I am using the *sqrt* method to calculate the number of bins as of now. After having been stuck in the local minima for so long, my mentor *Toma=C5= =BE* came forward and change the direction of the descent from the local minima towards the global minima by creating the *chart2/source/model/template/HistogramDataInterpreter.cxx* and *chart2/source/tools/HistogramDataSequence.cxx* where we are currently having the X and Y axis values and dummy values Hard-coded - [image: Screenshot from 2024-07-08 18-20-06.png] [image: Screenshot from 2024-07-08 18-38-17.png] In the above images which were being generated via the help of *HistogramDataInterpreter* the first image is taking the BarChart as the base hence bars with gaps - *chart2/source/view/charttypes/VSeriesPlotter.cxx** -* ```cpp else if( aChartType.equalsIgnoreAsciiCase( CHART2_SERVICE_NAME_CHARTTYPE_HISTOGRAM ) ) pRet =3D new BarChart(xChartTypeModel, nDimensionCount); ``` and the next image is where I after cherry-picking the code and replacing the base object as Histogram. aNewData.push_back(aData[0]); { rtl::Reference<HistogramDataSequence> aValuesDataSequence =3D new HistogramDataSequence(); aValuesDataSequence->setValues({ 7, 12, 4, 6 }); aValuesDataSequence->setLabels( { u"[1-4)"_ustr, u"[4-8)"_ustr, u"[8-12)"_ustr, u"[12-16]"_ustr }); aDataSequence =3D aValuesDataSequence; SetRole(aDataSequence, u"values-y"_ustr); aNewData.push_back(new LabeledDataSequence(aDataSequence)); } After this *Toma=C5=BE* pointed out some other changes which are better for= the descent, which included the change of inheritance from *VSeriesPlotter* and *ChartModel* to *BarChart*. The reason being is a= s* Histogram* is sort of a *special Barchart* we can reuse lot of code from Barchart itself and if you look closely in the code you can find that the ColumnChart and Barchart are utilizing a lot of code to avoid more redundancy of code - pPosHelper->isSwapXAndY() since they are same with only difference of axis difference. The second is to detach the Bin and Frequency calculation to a separate class from the *HistogramChartType* model. to which we can find an appropriate place later. I have done this and named the class as - *chart2/source/model/template/HistogramCalculator.hxx* Third is replacing the hard-coded values with the input, i.e., dynamic calculation of the values. Currently, in order to align with the first point, I am reverting my addition of the *HistogramPositionHelper* with *BarPositionHelper* and having some - ```bash Error: attempt to subscript container with out-of-bounds index 2, but container only holds 2 elements. ``` As of now, I am considering to get the dynamic calculations first and later update the inheritance. Hence, currently at the small red region in between local and global minima, hence the instability with the code after the intervention and better descent approach made by *Toma=C5=BE *it = now won't take that much time now. [image: image.png] what we thought how our work gonna be [image: image.png] how it's actually going Till last week, I couldn't figure out why I got stuck this bad. But now it makes sense from the view point of mathematics. :) https://gerrit.libreoffice.org/c/core/+/167068 --000000000000a4d316061ce944f9 Content-Type: text/html; charset="UTF-8" Content-Transfer-Encoding: quoted-printable <div dir=3D"auto"><div dir=3D"ltr"><div style=3D"font-family:comic sans ms,= sans-serif" class=3D"gmail_default"></div><div class=3D"gmail_default" styl= e=3D"font-family:comic sans ms,sans-serif">Hi,</div><div class=3D"gmail_def= ault" style=3D"font-family:comic sans ms,sans-serif"><br></div><div class= =3D"gmail_default" style=3D"font-family:comic sans ms,sans-serif">So, the p= revious week I did not send the weekly update as I was hopeful that I am cl= ose to get this done</div><div class=3D"gmail_default" style=3D"font-family= :comic sans ms,sans-serif">and kept pushing to not only get the X and Y axi= s with proper Bin Range and Frequency but also the bar</div><div class=3D"g= mail_default" style=3D"font-family:comic sans ms,sans-serif">for the Histog= ram plot. But, I also find the scaling issue which I encountered by the end= of the week.</div><div class=3D"gmail_default" style=3D"font-family:comic = sans ms,sans-serif"><br></div><div class=3D"gmail_default" style=3D"font-fa= mily:comic sans ms,sans-serif">Here, I am using the analogy of Gradient Des= cent part of Mathematical Optimization to explain the situation.<br></div><= div class=3D"gmail_default" style=3D"font-family:comic sans ms,sans-serif">= <br></div><div class=3D"gmail_default" style=3D"font-family:comic sans ms,s= ans-serif">In the beginning of the May, we started off from the top region = (Red) with the highest cost of instability for</div><div class=3D"gmail_def= ault" style=3D"font-family:comic sans ms,sans-serif">the addition of the ch= anges. By the end of May we were able to have the Histogram specific code b= ut mimicking</div><div class=3D"gmail_default" style=3D"font-family:comic s= ans ms,sans-serif">Bar/Column Chart and in the beginning of the June we wer= e able to have the bars attached to each other,=C2=A0</div><div class=3D"gm= ail_default" style=3D"font-family:comic sans ms,sans-serif">i.e., with ZERO= gap between each other.</div><div class=3D"gmail_default" style=3D"font-fa= mily:comic sans ms,sans-serif"><img src=3D"cid:ii_lyfzjvhs0" alt=3D"image.p= ng" width=3D"558" height=3D"432"><br></div><div class=3D"gmail_default" sty= le=3D"font-family:comic sans ms,sans-serif"><br></div><div class=3D"gmail_d= efault" style=3D"font-family:comic sans ms,sans-serif"><br></div><div class= =3D"gmail_default" style=3D"font-family:comic sans ms,sans-serif"><img src= =3D"cid:ii_lyg4vnec3" alt=3D"Screenshot from 2024-06-13 21-38-21.png" width= =3D"353" height=3D"180" style=3D"margin-right:0px">=C2=A0 <img src=3D"cid:i= i_lyg4vwg84" alt=3D"Screenshot from 2024-06-17 15-17-27.png" width=3D"304" = height=3D"187" style=3D"margin-right:0px"><br></div><div class=3D"gmail_def= ault" style=3D"font-family:comic sans ms,sans-serif"><br></div><div class= =3D"gmail_default" style=3D"font-family:comic sans ms,sans-serif">After hav= ing this as a success, we went on our next step, which was to get the X and= Y axis as Bin Ranges and Frequency.</div><div>W<span class=3D"gmail_defaul= t" style=3D"font-family:comic sans ms,sans-serif">hich could be thought of = as somewhere around the location of <i>Saddle point</i>. From here instead = of going towards the</span></div><div><span class=3D"gmail_default" style= =3D"font-family:comic sans ms,sans-serif">global minima I went towards the = local minima, which is got stuck with the axes' modification.<br></span= ></div><div><span class=3D"gmail_default" style=3D"font-family:comic sans m= s,sans-serif"><br></span></div><div><span class=3D"gmail_default" style=3D"= font-family:comic sans ms,sans-serif">Though in local minima which took me = almost 4 weeks I kept revolving into it and the result was by last week -</= span></div><div><span class=3D"gmail_default" style=3D"font-family:comic sa= ns ms,sans-serif"></span><br><img src=3D"cid:ii_lyg4lc4o2" alt=3D"Screensho= t from 2024-07-06 19-47-52.png" width=3D"322" height=3D"172" style=3D"margi= n-right:0px"><span class=3D"gmail_default" style=3D"font-family:comic sans = ms,sans-serif">=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0= =C2=A0=C2=A0 </span><img src=3D"cid:ii_lyg4lc4g1" alt=3D"Screenshot from 20= 24-07-06 19-55-52.png" width=3D"325" height=3D"173" style=3D"margin-right:0= px"></div><div><div style=3D"font-family:comic sans ms,sans-serif" class=3D= "gmail_default">```bash<br></div><div style=3D"font-family:comic sans ms,sa= ns-serif" class=3D"gmail_default"><b>i/p</b>- 12,10,15,16,14<br></div><div = style=3D"font-family:comic sans ms,sans-serif" class=3D"gmail_default"><b>o= /p</b> -<br></div></div><div><div style=3D"font-family:comic sans ms,sans-s= erif" class=3D"gmail_default">Entering createShapes()<br>xSeriesTarget is v= alid: true<br>xTextTarget is valid: true<br>m_nBins: 2, m_fBinWidth: 3<br>m= inValue: 10, maxValue: 16<br>m_binRanges: {10, 13} {13, 16} <br>m_binFreque= ncies: 3 2 <br>Bin ranges size: 2<br>Bin frequencies size: 2<br>Entering do= XSlot() for bin index: 0<br>Bar dimensions - X: 0.25, Width: 0.5, Height: 1= <br>Exiting doXSlot()<br>Entering doXSlot() for bin index: 1<br>Bar dimensi= ons - X: 0.75, Width: 0.5, Height: 0.666667<br>Exiting doXSlot()<br>Exiting= createShapes(</div></div><div><div style=3D"font-family:comic sans ms,sans= -serif" class=3D"gmail_default">```</div><br></div><div><div style=3D"font-= family:comic sans ms,sans-serif" class=3D"gmail_default">I was able to have= the bars which were 2 as I am using the <b>sqrt</b> method to calculate th= e number of bins as of now.<br></div></div><div><br></div><div><div style= =3D"font-family:comic sans ms,sans-serif" class=3D"gmail_default">After hav= ing been stuck in the local minima for so long, my mentor=C2=A0<i>Toma=C5= =BE</i> came forward and change the direction of the</div><div style=3D"fon= t-family:comic sans ms,sans-serif" class=3D"gmail_default">descent from the= local minima towards the global minima by creating the=C2=A0<i>chart2/sour= ce/model/template/<b>HistogramDataInterpreter</b>.<b>cxx</b></i></div><div = style=3D"font-family:comic sans ms,sans-serif" class=3D"gmail_default">and= =C2=A0<i>chart2/source/tools/<b>HistogramDataSequence</b>.<b>cxx</b></i> wh= ere we are currently having the X and Y axis values and dummy values</div><= div style=3D"font-family:comic sans ms,sans-serif" class=3D"gmail_default">= Hard-coded -</div><div style=3D"font-family:comic sans ms,sans-serif" class= =3D"gmail_default"><br></div><div style=3D"font-family:comic sans ms,sans-s= erif" class=3D"gmail_default"><img src=3D"cid:ii_lyg596p65" alt=3D"Screensh= ot from 2024-07-08 18-20-06.png" width=3D"391" height=3D"207" style=3D"marg= in-right:0px">=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0 <img s= rc=3D"cid:ii_lyg59b4a6" alt=3D"Screenshot from 2024-07-08 18-38-17.png" wid= th=3D"340" height=3D"206" style=3D"margin-right:0px"><br><br></div><div sty= le=3D"font-family:comic sans ms,sans-serif" class=3D"gmail_default">In the = above images which were being generated via the help of <b>HistogramDataInt= erpreter</b> the first image is taking the BarChart</div><div style=3D"font= -family:comic sans ms,sans-serif" class=3D"gmail_default">as the base hence= bars with gaps - <br></div><div style=3D"font-family:comic sans ms,sans-se= rif" class=3D"gmail_default"><i>chart2/source/view/charttypes/<b>VSeriesPlo= tter.cxx</b></i><b> -</b></div><div style=3D"font-family:comic sans ms,sans= -serif" class=3D"gmail_default">```cpp<br></div><div style=3D"font-family:c= omic sans ms,sans-serif" class=3D"gmail_default"><div id=3D"m_-795767122765= 9832620m_2540617458572217542gmail-right-content-2961"><span> <span><span= >else</span></span> <span><span>if</span></span>( <span>aChartType</span>.<= span><span>equalsIgnoreAsciiCase</span></span>( <span>CHART2_SERVICE_NAME_C= HARTTYPE_HISTOGRAM</span> ) )</span></div><span></span><span><span name=3D"= post-left-line-2961"></span> <span name=3D"post-right-line-2961"></span> </span><span> </span><span> =20 </span><table id=3D"m_-7957671227659832620m_2540617458572217542gmail-= diffTable"><tbody> =20 </tbody> <tbody> =20 =20 </tbody></table><div id=3D"m_-7957671227659832620m_254061745857= 2217542gmail-right-content-2962"><span> <span>pRet</span> =3D <span>= <span>new</span></span> <span><span><span>Bar</span></span></span><span><sp= an>Chart</span></span>(<span>xChartTypeModel</span>,<span> </span><span>nDi= mensionCount</span>);</span></div></div><div style=3D"font-family:comic san= s ms,sans-serif" class=3D"gmail_default">```<br></div><div style=3D"font-fa= mily:comic sans ms,sans-serif" class=3D"gmail_default">and the next image i= s where I after cherry-picking the code and replacing the base object as Hi= stogram.</div><div style=3D"font-family:comic sans ms,sans-serif" class=3D"= gmail_default"><br></div><div style=3D"font-family:comic sans ms,sans-serif= " class=3D"gmail_default"><div style=3D"color:rgb(204,204,204);background-c= olor:rgb(31,31,31);font-family:"Droid Sans Mono","monospace&= quot;,monospace;font-weight:normal;font-size:14px;line-height:19px;white-sp= ace:pre-wrap"><div><span style=3D"color:rgb(204,204,204)"> </span><span s= tyle=3D"color:rgb(156,220,254)"><br></span></div><div><span style=3D"color:= rgb(156,220,254)"> aNewData</span><span style=3D"color:rgb(204,204,204)">= .</span><span style=3D"color:rgb(220,220,170)">push_back</span><span style= =3D"color:rgb(204,204,204)">(</span><span style=3D"color:rgb(156,220,254)">= aData</span><span style=3D"color:rgb(204,204,204)">[</span><span style=3D"c= olor:rgb(181,206,168)">0</span><span style=3D"color:rgb(204,204,204)">]);</= span></div><br><div><span style=3D"color:rgb(204,204,204)"> {</span></di= v><div><span style=3D"color:rgb(204,204,204)"> </span><span style=3D= "color:rgb(78,201,176)">rtl</span><span style=3D"color:rgb(204,204,204)">::= Reference</span><span style=3D"color:rgb(212,212,212)"><</span><span sty= le=3D"color:rgb(204,204,204)">HistogramDataSequence</span><span style=3D"co= lor:rgb(212,212,212)">></span><span style=3D"color:rgb(204,204,204)"> aV= aluesDataSequence </span><span style=3D"color:rgb(212,212,212)">=3D</span><= span style=3D"color:rgb(204,204,204)"> </span><span style=3D"color:rgb(197,= 134,192)">new</span><span style=3D"color:rgb(204,204,204)"> </span><span st= yle=3D"color:rgb(220,220,170)">HistogramDataSequence</span><span style=3D"c= olor:rgb(204,204,204)">();</span></div><div><span style=3D"color:rgb(204,20= 4,204)"> </span><span style=3D"color:rgb(156,220,254)">aValuesDataSe= quence</span><span style=3D"color:rgb(204,204,204)">-></span><span style= =3D"color:rgb(220,220,170)">setValues</span><span style=3D"color:rgb(204,20= 4,204)">({ </span><span style=3D"color:rgb(181,206,168)">7</span><span styl= e=3D"color:rgb(204,204,204)">, </span><span style=3D"color:rgb(181,206,168)= ">12</span><span style=3D"color:rgb(204,204,204)">, </span><span style=3D"c= olor:rgb(181,206,168)">4</span><span style=3D"color:rgb(204,204,204)">, </s= pan><span style=3D"color:rgb(181,206,168)">6</span><span style=3D"color:rgb= (204,204,204)"> });</span></div><div><span style=3D"color:rgb(204,204,204)"= > </span><span style=3D"color:rgb(156,220,254)">aValuesDataSequence<= /span><span style=3D"color:rgb(204,204,204)">-></span><span style=3D"col= or:rgb(220,220,170)">setLabels</span><span style=3D"color:rgb(204,204,204)"= >(</span></div><div><span style=3D"color:rgb(204,204,204)"> { </= span><span style=3D"color:rgb(206,145,120)">u"[1-4)"</span><span = style=3D"color:rgb(86,156,214)">_ustr</span><span style=3D"color:rgb(204,20= 4,204)">, </span><span style=3D"color:rgb(206,145,120)">u"[4-8)"<= /span><span style=3D"color:rgb(86,156,214)">_ustr</span><span style=3D"colo= r:rgb(204,204,204)">, </span><span style=3D"color:rgb(206,145,120)">u"= [8-12)"</span><span style=3D"color:rgb(86,156,214)">_ustr</span><span = style=3D"color:rgb(204,204,204)">, </span><span style=3D"color:rgb(206,145,= 120)">u"[12-16]"</span><span style=3D"color:rgb(86,156,214)">_ust= r</span><span style=3D"color:rgb(204,204,204)"> });</span></div><br><div><s= pan style=3D"color:rgb(204,204,204)"> aDataSequence </span><span sty= le=3D"color:rgb(212,212,212)">=3D</span><span style=3D"color:rgb(204,204,20= 4)"> aValuesDataSequence;</span></div><div><span style=3D"color:rgb(204,204= ,204)"> </span><span style=3D"color:rgb(220,220,170)">SetRole</span>= <span style=3D"color:rgb(204,204,204)">(aDataSequence, </span><span style= =3D"color:rgb(206,145,120)">u"values-y"</span><span style=3D"colo= r:rgb(86,156,214)">_ustr</span><span style=3D"color:rgb(204,204,204)">);</s= pan></div><div><span style=3D"color:rgb(204,204,204)"> </span><span = style=3D"color:rgb(156,220,254)">aNewData</span><span style=3D"color:rgb(20= 4,204,204)">.</span><span style=3D"color:rgb(220,220,170)">push_back</span>= <span style=3D"color:rgb(204,204,204)">(</span><span style=3D"color:rgb(197= ,134,192)">new</span><span style=3D"color:rgb(204,204,204)"> </span><span s= tyle=3D"color:rgb(220,220,170)">LabeledDataSequence</span><span style=3D"co= lor:rgb(204,204,204)">(aDataSequence));</span></div><div><span style=3D"col= or:rgb(204,204,204)"> }</span></div><br></div></div></div><div><br></div= ><div><div style=3D"font-family:comic sans ms,sans-serif" class=3D"gmail_de= fault">After this=C2=A0<i>Toma=C5=BE</i> pointed out some other changes whi= ch are better for the descent, which included the change of inheritance</di= v><div style=3D"font-family:comic sans ms,sans-serif" class=3D"gmail_defaul= t">from <b>VSeriesPlotter</b> and <b>ChartModel</b> to <b>BarChart</b>. The= reason being is as<u> Histogram</u> is sort of a <u>special Barchart</u> w= e can reuse</div><div style=3D"font-family:comic sans ms,sans-serif" class= =3D"gmail_default">lot of code from Barchart itself and if you look closely= in the code you can find that the ColumnChart and Barchart are utilizing a= lot</div><div><div style=3D"font-family:comic sans ms,sans-serif" class=3D= "gmail_default">of code to avoid more redundancy of code -</div><div style= =3D"font-family:comic sans ms,sans-serif" class=3D"gmail_default"><br></div= ><div style=3D"font-family:comic sans ms,sans-serif" class=3D"gmail_default= "><div style=3D"color:rgb(204,204,204);background-color:rgb(31,31,31);font-= family:"Droid Sans Mono","monospace",monospace;font-wei= ght:normal;font-size:14px;line-height:19px;white-space:pre-wrap"><div><span= style=3D"color:rgb(156,220,254)">pPosHelper</span><span style=3D"color:rgb= (204,204,204)">-></span><span style=3D"color:rgb(220,220,170)">isSwapXAn= dY</span><span style=3D"color:rgb(204,204,204)">()</span></div></div></div>= </div><div><br></div><div><div style=3D"font-family:comic sans ms,sans-seri= f" class=3D"gmail_default">since they are same with only difference of axis= difference.</div><div style=3D"font-family:comic sans ms,sans-serif" class= =3D"gmail_default"><br></div><div style=3D"font-family:comic sans ms,sans-s= erif" class=3D"gmail_default">The second is to detach the Bin and Frequency= calculation to a separate class from the <b>HistogramChartType</b> model.<= /div><div style=3D"font-family:comic sans ms,sans-serif" class=3D"gmail_def= ault">to which we can find an appropriate place later.</div><div style=3D"f= ont-family:comic sans ms,sans-serif" class=3D"gmail_default">I have done th= is and named the class as - <i>chart2/source/model/template/<b>HistogramCal= culator.hxx</b></i></div></div><div><br></div><div><div style=3D"font-famil= y:comic sans ms,sans-serif" class=3D"gmail_default">Third is replacing the = hard-coded values with the input, i.e., dynamic calculation of the values.<= /div><div style=3D"font-family:comic sans ms,sans-serif" class=3D"gmail_def= ault"><br></div><div style=3D"font-family:comic sans ms,sans-serif" class= =3D"gmail_default">Currently, in order to align with the first point, I am = reverting my addition of the <b>HistogramPositionHelper</b> with <br></div>= <div style=3D"font-family:comic sans ms,sans-serif" class=3D"gmail_default"= ><b>BarPositionHelper</b> and having some -</div><div style=3D"font-family:= comic sans ms,sans-serif" class=3D"gmail_default">```bash<br></div><div sty= le=3D"font-family:comic sans ms,sans-serif" class=3D"gmail_default">Error: = attempt to subscript container with out-of-bounds index 2, but <br>containe= r only holds 2 elements.<br></div><div style=3D"font-family:comic sans ms,s= ans-serif" class=3D"gmail_default">```</div><div style=3D"font-family:comic= sans ms,sans-serif" class=3D"gmail_default">As of now, I am considering to= get the dynamic calculations first and later update the inheritance. Hence= , currently at the</div><div style=3D"font-family:comic sans ms,sans-serif"= class=3D"gmail_default">small red region in between local and global minim= a, hence the instability with the code</div><div style=3D"font-family:comic= sans ms,sans-serif" class=3D"gmail_default">after the intervention and bet= ter descent approach made by <i>Toma=C5=BE </i>it now won't take that m= uch time now.<i><br></i></div></div><div><br></div><div><div style=3D"font-= family:comic sans ms,sans-serif" class=3D"gmail_default"></div><div style= =3D"font-family:comic sans ms,sans-serif" class=3D"gmail_default"><img src= =3D"cid:ii_lyg74avf7" alt=3D"image.png" width=3D"423" height=3D"238" style= =3D"margin-right:0px"><br></div></div><div><div style=3D"font-family:comic = sans ms,sans-serif" class=3D"gmail_default">=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0= =C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2=A0=C2= =A0=C2=A0 what we thought how our work gonna be</div><div style=3D"font-fam= ily:comic sans ms,sans-serif" class=3D"gmail_default"><br></div><div style= =3D"font-family:comic sans ms,sans-serif" class=3D"gmail_default"><br></div= ><div style=3D"font-family:comic sans ms,sans-serif" class=3D"gmail_default= "><br></div><div style=3D"font-family:comic sans ms,sans-serif" class=3D"gm= ail_default"><br></div><div style=3D"font-family:comic sans ms,sans-serif" = class=3D"gmail_default"><img src=3D"cid:ii_lyg74syx8" alt=3D"image.png" wid= th=3D"302" height=3D"204" style=3D"margin-right:0px"><br>=C2=A0 =C2=A0 =C2= =A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 how it's actually going<br></div= ><br></div><div><br></div><div><div style=3D"font-family:comic sans ms,sans= -serif" class=3D"gmail_default">Till last week, I couldn't figure out w= hy I got stuck this bad. But now it makes sense from the view point of math= ematics. :)<br></div></div><div><br></div><div><div style=3D"font-family:co= mic sans ms,sans-serif" class=3D"gmail_default"><font size=3D"2"><a href=3D= "https://gerrit.libreoffice.org/c/core/+/167068" target=3D"_blank" rel=3D"n= oreferrer">https://gerrit.libreoffice.org/c/core/+/167068</a></font></div><= /div></div></div></div> --000000000000a4d316061ce944f9-- --000000000000a4d317061ce944fa Content-Type: image/png; name="image.png" Content-Disposition: inline; filename="image.png" Content-Transfer-Encoding: base64 Content-ID: <ii_lyfzjvhs0> X-Attachment-Id: ii_lyfzjvhs0 iVBORw0KGgoAAAANSUhEUgAABgIAAASoCAYAAADWy9H8AAAABHNCSVQICAgIfAhkiAAAIABJREFU eF7sndly5DpwbSVVSeo+bV87/Av+/w/yk18d4QhHeDjdraGki43iZmelyJoHDot9dFgkQRBYTIBA JpC4/yzbHRsEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAKTJPAwyVyRKQhAAAIQgAAEIAAB CEAAAhCAAAQgAAEIQAACEIAABCoBDAEIAgQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEBgwgQw 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