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<p>Hi,</p>
<p>This is just a problem of variable scope, "g" is used internally
by datafit, likely. All user parameters or functions used in G
should be given by using a list, i.e. :</p>
<pre style="font-family:Monospaced;font-style:normal;font-size:16.0;"><span style="color:rgb(176,24,19);">function</span> <span style="color:rgb(131,67,16);font-weight:bold;">e</span><span style="color:rgb(92,92,92);">=</span><span style="color:rgb(0,0,0);text-decoration:underline;">G</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(131,67,16);font-weight:bold;">p</span><span style="color:rgb(0,0,0);">, </span><span style="color:rgb(131,67,16);font-weight:bold;">z</span><span style="color:rgb(74,85,219);">, g)</span>
<span style="color:rgb(0,0,0);">option</span> <span style="color:rgb(92,92,92);">=</span> <span style="color:rgb(188,143,143);">1</span>
<span style="color:rgb(160,32,240);">select</span> <span style="color:rgb(0,0,0);">option</span>
<span style="color:rgb(160,32,240);">case</span> <span style="color:rgb(188,143,143);">1</span>
<span style="color:rgb(0,0,0);">gg</span> <span style="color:rgb(92,92,92);">=</span> <span style="color:rgb(131,67,16);font-weight:bold;">p</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(92,92,92);">+</span> <span style="color:rgb(131,67,16);font-weight:bold;">p</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">2</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">*</span><span style="color:rgb(50,185,185);">abs</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(131,67,16);font-weight:bold;">z</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">.^</span><span style="color:rgb(131,67,16);font-weight:bold;">p</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">3</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(92,92,92);">-</span> <span style="color:rgb(131,67,16);font-weight:bold;">p</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">4</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">*</span><span style="color:rgb(50,185,185);">exp</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(92,92,92);">-</span><span style="color:rgb(131,67,16);font-weight:bold;">p</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">5</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">*</span><span style="color:rgb(131,67,16);font-weight:bold;">z</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">.^</span><span style="color:rgb(188,143,143);">2</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(131,67,16);font-weight:bold;">e</span> <span style="color:rgb(92,92,92);">=</span> <span style="color:rgb(131,67,16);font-weight:bold;">z</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">2</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(92,92,92);">-</span> <span style="color:rgb(0,0,0);">gg</span><span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(160,32,240);">case</span> <span style="color:rgb(188,143,143);">2</span>
<span style="color:rgb(131,67,16);font-weight:bold;">e</span> <span style="color:rgb(92,92,92);">=</span> <span style="color:rgb(131,67,16);font-weight:bold;">z</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">2</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(92,92,92);">-</span> <span style="color:rgb(0,0,0);text-decoration:underline;">g</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(131,67,16);font-weight:bold;">z</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(0,0,0);">,</span> <span style="color:rgb(131,67,16);font-weight:bold;">p</span><span style="color:rgb(74,85,219);">)</span>
<span style="color:rgb(160,32,240);">end</span>
<span style="color:rgb(176,24,19);">endfunction</span>
<span style="color:rgb(51,153,6);font-style:italic;">// 4 Parameter algorithm adjustment</span>
<span style="color:rgb(0,0,0);">Z</span> <span style="color:rgb(92,92,92);">=</span> <span style="color:rgb(74,85,219);">[</span><span style="color:rgb(0,0,0);">logf0</span> <span style="color:rgb(92,92,92);">-</span> <span style="color:rgb(188,143,143);">6.2515185</span><span style="color:rgb(0,0,0);">;</span> <span style="color:rgb(0,0,0);">Te</span><span style="color:rgb(74,85,219);">]</span><span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(0,0,0);">po</span> <span style="color:rgb(92,92,92);">=</span> <span style="color:rgb(74,85,219);">[</span><span style="color:rgb(188,143,143);">0.005</span> <span style="color:rgb(92,92,92);">-</span><span style="color:rgb(188,143,143);">0.00013</span> <span style="color:rgb(188,143,143);">4</span> <span style="color:rgb(188,143,143);">0.01</span> <span style="color:rgb(188,143,143);">1.7</span><span style="color:rgb(74,85,219);">]</span>
<span style="color:rgb(50,185,185);">tic</span>
<span style="color:rgb(74,85,219);">[</span><span style="color:rgb(0,0,0);">P</span><span style="color:rgb(0,0,0);">,</span> <span style="color:rgb(0,0,0);">err</span><span style="color:rgb(74,85,219);">]</span> <span style="color:rgb(92,92,92);">=</span> <span style="color:rgb(0,0,0);">datafit</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(0,0,0);text-decoration:underline;">list(G,g)</span><span style="color:rgb(0,0,0);">,</span> <span style="color:rgb(0,0,0);">Z</span><span style="color:rgb(0,0,0);">,</span> <span style="color:rgb(0,0,0);">po</span><span style="color:rgb(74,85,219);">)</span>
<span style="color:rgb(50,185,185);">toc</span></pre>
<div class="moz-cite-prefix">S.<br>
</div>
<div class="moz-cite-prefix"><br>
</div>
<div class="moz-cite-prefix">Le 09/09/2021 à 12:23, Jakub Kopac a
écrit :<br>
</div>
<blockquote type="cite"
cite="mid:CAPenAnB8D5y5Efw3D3FrC8GqM86RsGwkDw+FSWWUFbP8iH90sw@mail.gmail.com">
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<div dir="ltr">
<div>Hello,</div>
<div><br>
</div>
<div>looks like a conflict with internals or bug,<br>
</div>
<div>changing the function name of "g" will solve the problem.<br>
</div>
<div>
<div>
<div dir="ltr" class="gmail_signature"
data-smartmail="gmail_signature"><br>
Best regards<br>
<br>
J.K.</div>
</div>
<br>
</div>
</div>
<br>
<div class="gmail_quote">
<div dir="ltr" class="gmail_attr">st 8. 9. 2021 o 0:18 Federico
Miyara <<a href="mailto:fmiyara@fceia.unr.edu.ar"
moz-do-not-send="true">fmiyara@fceia.unr.edu.ar</a>>
napísal(a):<br>
</div>
<blockquote class="gmail_quote" style="margin:0px 0px 0px
0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
<div bgcolor="#FFFFFF"> <br>
<font face="Courier New">Dear all,<br>
<br>
I have a problem using datafit() to adjust the parameters
of a model. The script below has four parts. The first one
actually is a synthesis of the data I'm working with. It
just creates the data (logf0, Te) to model.<br>
<br>
The second part introduces the function g(x, p) to model
the data.<br>
<br>
Part three creates the "gap" function required for
datafit(). It does so in two alternative ways selected
with the variable option. If option = 1, the definition of
the gap function is given inside the body of that
function. If option = 2, it uses the model function
previously created.<br>
<br>
Finally, part 4 addresses the fitting procedure.<br>
<br>
My problem is that with option = 1, it works fine, but
when option = 2 it halts with the following error:<br>
<br>
</font>
<blockquote><font face="Courier New">--> [P, err] =
datafit(G, Z, po)</font><br>
<font face="Courier New">at line 8 of function G
</font><br>
<font face="Courier New">at line 16 of function costf
</font><br>
<font face="Courier New">at line -12 of function optim
</font><br>
<font face="Courier New">at line 243 of function datafit
( C:\Program
Files\scilab-6.1.1\modules\optimization\macros\datafit.sci
line 255 )</font><br>
<br>
<font face="Courier New">Invalid index.</font><br>
<font face="Courier New">--> toc</font><br>
<font face="Courier New"> ans =</font><br>
<font face="Courier New"> 0.6467990 </font><br>
<br>
</blockquote>
The normal time to do the full fitting is about 40 s. The
time of the aborted process is 0.64 s, long enough to have
done some iterations, which is baffling. I tried to see
inside the datafit() source but frankly I don't understand
what may be happening.<br>
<br>
May be somebody with more experience in the use of this
function can give a hint on what's going on...<br>
<br>
Regards,<br>
<br>
Federico Miyara<br>
<br>
<pre style="font-family:Monospaced;font-style:normal"><span style="color:rgb(51,153,6);font-style:italic">// 1 Data to approximate (Te = F(logf0))</span>
<span style="color:rgb(0,0,0)">logf</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(50,185,185)">linspace</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">2.3025851</span><span style="color:rgb(0,0,0)">,</span> <span style="color:rgb(188,143,143)">9.9010847</span><span style="color:rgb(0,0,0)">,</span> <span style="color:rgb(188,143,143)">7</span><span style="color:rgb(74,85,219)">)</span>
<span style="color:rgb(0,0,0)">Telogf</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(74,85,219)">[</span> <span style="color:rgb(188,143,143)">0.0446706</span> <span style="color:rgb(188,143,143)">0.0225414</span> <span style="color:rgb(188,143,143)">0.0147556</span> <span style="color:rgb(188,143,143)">0.0055733</span> <span style="color:rgb(188,143,143)">0.010994</span> <span style="color:rgb(255,170,0)">...</span>
<span style="color:rgb(188,143,143)">0.0189552</span> <span style="color:rgb(188,143,143)">0.0277157</span><span style="color:rgb(74,85,219)">]</span>
<span style="color:rgb(0,0,0)">d</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(74,85,219)">[</span><span style="color:rgb(92,92,92)">-</span><span style="color:rgb(188,143,143)">0.0338451</span> <span style="color:rgb(92,92,92)">-</span><span style="color:rgb(188,143,143)">0.0073327</span> <span style="color:rgb(92,92,92)">-</span><span style="color:rgb(188,143,143)">0.0076891</span> <span style="color:rgb(92,92,92)">-</span><span style="color:rgb(188,143,143)">0.0021065</span> <span style="color:rgb(188,143,143)">0.0072043</span> <span style="color:rgb(255,170,0)">...</span>
<span style="color:rgb(188,143,143)">0.0049894</span> <span style="color:rgb(188,143,143)">0.0124498</span><span style="color:rgb(74,85,219)">]</span>
<span style="color:rgb(0,0,0)">logf0</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(50,185,185)">log</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">10</span><span style="color:rgb(92,92,92)">*</span><span style="color:rgb(188,143,143)">10.</span><span style="color:rgb(92,92,92)">^</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">0</span><span style="color:rgb(255,170,0)">:</span><span style="color:rgb(188,143,143)">0.005</span><span style="color:rgb(255,170,0)">:</span><span style="color:rgb(188,143,143)">3.3</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(74,85,219)">)</span>
<span style="color:rgb(0,0,0)">Te</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(50,185,185)">interp</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(0,0,0)">logf0</span><span style="color:rgb(0,0,0)">,</span> <span style="color:rgb(0,0,0)">logf</span><span style="color:rgb(0,0,0)">,</span> <span style="color:rgb(0,0,0)">Telogf</span><span style="color:rgb(0,0,0)">,</span> <span style="color:rgb(0,0,0)">d</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(51,153,6);font-style:italic">// 2 Analytic model</span>
<span style="color:rgb(176,24,19)">function</span> <span style="color:rgb(131,67,16);font-weight:bold">y</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(0,0,0);text-decoration:underline">g</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(131,67,16);font-weight:bold">x</span><span style="color:rgb(0,0,0)">, </span><span style="color:rgb(131,67,16);font-weight:bold">p</span><span style="color:rgb(74,85,219)">)</span>
<span style="color:rgb(131,67,16);font-weight:bold">y</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(131,67,16);font-weight:bold">p</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">1</span><span style="color:rgb(74,85,219)">)</span> <span style="color:rgb(92,92,92)">+</span> <span style="color:rgb(131,67,16);font-weight:bold">p</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">2</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(92,92,92)">*</span><span style="color:rgb(50,185,185)">abs</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(131,67,16);font-weight:bold">x</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(92,92,92)">.^</span><span style="color:rgb(131,67,16);font-weight:bold">p</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">3</span><span style="color:rgb(74,85,219)">)</span> <span style="color:rgb(92,92,92)">-</span> <span style="color:rgb(131,67,16);font-weight:bold">p</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">4</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(92,92,92)">*</span><span style="color:rgb(50,185,185)">exp</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(92,92,92)">-</span><span style="color:rgb(131,67,16);font-weight:bold">p</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">5</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(92,92,92)">*</span><span style="color:rgb(131,67,16);font-weight:bold">x</span><span style="color:rgb(92,92,92)">.^</span><span style="color:rgb(188,143,143)">2</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(176,24,19)">endfunction</span>
<span style="color:rgb(51,153,6);font-style:italic">// 3 Function to minimize </span>
<span style="color:rgb(51,153,6);font-style:italic">// (Gap or difference between data and model)</span>
<span style="color:rgb(176,24,19)">function</span> <span style="color:rgb(131,67,16);font-weight:bold">e</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(0,0,0);text-decoration:underline">G</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(131,67,16);font-weight:bold">p</span><span style="color:rgb(0,0,0)">, </span><span style="color:rgb(131,67,16);font-weight:bold">z</span><span style="color:rgb(74,85,219)">)</span>
<span style="color:rgb(0,0,0)">option</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(188,143,143)">1</span>
<span style="color:rgb(160,32,240)">select</span> <span style="color:rgb(0,0,0)">option</span>
<span style="color:rgb(160,32,240)">case</span> <span style="color:rgb(188,143,143)">1</span>
<span style="color:rgb(0,0,0)">gg</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(131,67,16);font-weight:bold">p</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">1</span><span style="color:rgb(74,85,219)">)</span> <span style="color:rgb(92,92,92)">+</span> <span style="color:rgb(131,67,16);font-weight:bold">p</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">2</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(92,92,92)">*</span><span style="color:rgb(50,185,185)">abs</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(131,67,16);font-weight:bold">z</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">1</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(92,92,92)">.^</span><span style="color:rgb(131,67,16);font-weight:bold">p</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">3</span><span style="color:rgb(74,85,219)">)</span> <span style="color:rgb(92,92,92)">-</span> <span style="color:rgb(131,67,16);font-weight:bold">p</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">4</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(92,92,92)">*</span><span style="color:rgb(50,185,185)">exp</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(92,92,92)">-</span><span style="color:rgb(131,67,16);font-weight:bold">p</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">5</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(92,92,92)">*</span><span style="color:rgb(131,67,16);font-weight:bold">z</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">1</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(92,92,92)">.^</span><span style="color:rgb(188,143,143)">2</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(131,67,16);font-weight:bold">e</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(131,67,16);font-weight:bold">z</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">2</span><span style="color:rgb(74,85,219)">)</span> <span style="color:rgb(92,92,92)">-</span> <span style="color:rgb(0,0,0)">gg</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(160,32,240)">case</span> <span style="color:rgb(188,143,143)">2</span>
<span style="color:rgb(131,67,16);font-weight:bold">e</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(131,67,16);font-weight:bold">z</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">2</span><span style="color:rgb(74,85,219)">)</span> <span style="color:rgb(92,92,92)">-</span> <span style="color:rgb(0,0,0);text-decoration:underline">g</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(131,67,16);font-weight:bold">z</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">1</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(0,0,0)">,</span> <span style="color:rgb(131,67,16);font-weight:bold">p</span><span style="color:rgb(74,85,219)">)</span>
<span style="color:rgb(160,32,240)">end</span>
<span style="color:rgb(176,24,19)">endfunction</span>
<span style="color:rgb(51,153,6);font-style:italic">// 4 Parameter algorithm adjustment</span>
<span style="color:rgb(0,0,0)">Z</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(74,85,219)">[</span><span style="color:rgb(0,0,0)">logf0</span> <span style="color:rgb(92,92,92)">-</span> <span style="color:rgb(188,143,143)">6.2515185</span><span style="color:rgb(0,0,0)">;</span> <span style="color:rgb(0,0,0)">Te</span><span style="color:rgb(74,85,219)">]</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(0,0,0)">po</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(74,85,219)">[</span><span style="color:rgb(188,143,143)">0.005</span> <span style="color:rgb(92,92,92)">-</span><span style="color:rgb(188,143,143)">0.00013</span> <span style="color:rgb(188,143,143)">4</span> <span style="color:rgb(188,143,143)">0.01</span> <span style="color:rgb(188,143,143)">1.7</span><span style="color:rgb(74,85,219)">]</span>
<span style="color:rgb(50,185,185)">tic</span>
<span style="color:rgb(74,85,219)">[</span><span style="color:rgb(0,0,0)">P</span><span style="color:rgb(0,0,0)">,</span> <span style="color:rgb(0,0,0)">err</span><span style="color:rgb(74,85,219)">]</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(0,0,0)">datafit</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(0,0,0);text-decoration:underline">G</span><span style="color:rgb(0,0,0)">,</span> <span style="color:rgb(0,0,0)">Z</span><span style="color:rgb(0,0,0)">,</span> <span style="color:rgb(0,0,0)">po</span><span style="color:rgb(74,85,219)">)</span>
<span style="color:rgb(50,185,185)">toc</span></pre>
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<pre class="moz-signature" cols="72">--
Stéphane Mottelet
Ingénieur de recherche
EA 4297 Transformations Intégrées de la Matière Renouvelable
Département Génie des Procédés Industriels
Sorbonne Universités - Université de Technologie de Compiègne
CS 60319, 60203 Compiègne cedex
Tel : +33(0)344234688
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