MaplePrimes - comments on Post, precision and plot drivers

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    <title>MaplePrimes - comments on Post, precision and plot drivers</title>
    <link>http://www.mapleprimes.com/posts/100884-Precision-And-Plot-Drivers</link>
    <language>en-us</language>
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    <pubDate>Tue, 09 Jun 2026 09:19:33 GMT</pubDate>
    <itunes:subtitle />
    <itunes:summary />
    <description>The latest comments added to the Post, precision and plot drivers</description>
    <image>
      <url>http://www.mapleprimes.com/images/mapleprimeswhite.jpg</url>
      <title>MaplePrimes - comments on Post, precision and plot drivers</title>
      <link>http://www.mapleprimes.com/posts/100884-Precision-And-Plot-Drivers</link>
    </image>
    <item>
      <title>plotting with Maple</title>
      <link>http://www.mapleprimes.com/posts/100884-Precision-And-Plot-Drivers?ref=Feed:MaplePrimes:precision and plot drivers:Comments#comment101386</link>
      <itunes:summary>&lt;p&gt;The suggestions made to improve the plotting of large or small numbers in Maple are highly valid and must be implemented.&amp;nbsp; It is unnecessary, however, to have such small, or big, numbers to find fault with Maple, because of inadequate quality control.&amp;nbsp; For instance, with the classic interface, trying to plot numbers at precision greater than Digits := 16 causes an error message with Maple 14, unlike preceding versions.&amp;nbsp; As one of the virtues of software for computer algebra is its ancillary ability to handle large and small numbers, and numbers at arbitrary precision, such an error message should never occur.&amp;nbsp; Let us hope, not in vain, that this fault will be corrected in Maple 15.&lt;/p&gt;</itunes:summary>
      <description>The latest comments added to the Post, precision and plot drivers</description>
      <guid>101386</guid>
      <pubDate>Thu, 03 Feb 2011 03:07:01 Z</pubDate>
      <itunes:author>J F Ogilvie</itunes:author>
      <author>J F Ogilvie</author>
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    <item>
      <title>Remember that</title>
      <link>http://www.mapleprimes.com/posts/100884-Precision-And-Plot-Drivers?ref=Feed:MaplePrimes:precision and plot drivers:Comments#comment129792</link>
      <itunes:summary>&lt;p&gt;Want add, problem for today not seems to be related only to "minimal nonzero" value. Somwhere it highly depends on machine epsilon. So, other place of double harware dependance:&lt;/p&gt;
&lt;p&gt;&lt;a href="/view.aspx?sf=129792/428946/plot_test.mw"&gt;plot_test.mw&lt;/a&gt;&lt;/p&gt;</itunes:summary>
      <description>The latest comments added to the Post, precision and plot drivers</description>
      <guid>129792</guid>
      <pubDate>Thu, 19 Jan 2012 07:15:17 Z</pubDate>
      <itunes:author>icegood</itunes:author>
      <author>icegood</author>
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    <item>
      <title>another good example</title>
      <link>http://www.mapleprimes.com/posts/100884-Precision-And-Plot-Drivers?ref=Feed:MaplePrimes:precision and plot drivers:Comments#comment129795</link>
      <itunes:summary>&lt;p&gt;&lt;a href="http://www.mapleprimes.com/posts/100884-Precision-And-Plot-Drivers#comment129792"&gt;@icegood&lt;/a&gt;&amp;nbsp;That's another good example. (So, there are problems for data all near either DBL_MIN or DBL_EPSILON.)&lt;/p&gt;
&lt;p&gt;The plot structure for this example also contains data adequate to produce a smooth curve in the plot, but the plot drivers cannot handle it.&lt;/p&gt;
&lt;p&gt;If it is this easy to repair the (already computed) plot data structure "manually" in Maple code, then the plotting routines might be able to accomodate it too.&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
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&lt;td&gt;&lt;span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"&gt; &amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
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&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"&gt;restart:&lt;/span&gt;&lt;/p&gt;
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&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"&gt;f:=(y,a,b)-&amp;gt;(8*(b+a))*(exp(-y))^2*y^2/(-2*exp(-y*(1+2*b+2*a))+4*exp(-y*(a+2*b+1))+4*exp(-y*(a+2*b+2))-exp(-2*y*(b+a+1))-exp(-(2*(b+a))*y)+4*exp(-y*(a+1))-4*exp(-2*y*(b+1))+4*exp(-y*a)+((2*(b+a))*y+4*b+1)*exp(-2*y)+(-6+(4*(b+a))*y)*exp(-y)+(2*(b+a))*y-4*b-3)-(32*(b+a))*(exp(-y)+1)*y*exp(-y)/(-2*exp(-y*(1+2*b+2*a))+4*exp(-y*(a+2*b+1))+4*exp(-y*(a+2*b+2))-exp(-2*y*(b+a+1))-exp(-(2*(b+a))*y)+4*exp(-y*(a+1))-4*exp(-2*y*(b+1))+4*exp(-y*a)+((2*(b+a))*y+4*b+1)*exp(-2*y)+(-6+(4*(b+a))*y)*exp(-y)+(2*(b+a))*y-4*b-3)+(16*(b+a))*(exp(-y)+1)*y^2*exp(-y)*((2*(1+2*b+2*a))*exp(-y*(1+2*b+2*a))-(4*(a+2*b+1))*exp(-y*(a+2*b+1))-(4*(a+2*b+2))*exp(-y*(a+2*b+2))+(2*(b+a+1))*exp(-2*y*(b+a+1))+(2*(b+a))*exp(-(2*(b+a))*y)-(4*(a+1))*exp(-y*(a+1))+(8*(b+1))*exp(-2*y*(b+1))-4*a*exp(-y*a)+(2*(b+a))*exp(-2*y)-(2*((2*(b+a))*y+4*b+1))*exp(-2*y)+(4*(b+a))*exp(-y)-(-6+(4*(b+a))*y)*exp(-y)+2*a+2*b)/(-2*exp(-y*(1+2*b+2*a))+4*exp(-y*(a+2*b+1))+4*exp(-y*(a+2*b+2))-exp(-2*y*(b+a+1))-exp(-(2*(b+a))*y)+4*exp(-y*(a+1))-4*exp(-2*y*(b+1))+4*exp(-y*a)+((2*(b+a))*y+4*b+1)*exp(-2*y)+(-6+(4*(b+a))*y)*exp(-y)+(2*(b+a))*y-4*b-3)^2+(8*(b+a))*(exp(-y)+1)*y^2*exp(-y)/(-2*exp(-y*(1+2*b+2*a))+4*exp(-y*(a+2*b+1))+4*exp(-y*(a+2*b+2))-exp(-2*y*(b+a+1))-exp(-(2*(b+a))*y)+4*exp(-y*(a+1))-4*exp(-2*y*(b+1))+4*exp(-y*a)+((2*(b+a))*y+4*b+1)*exp(-2*y)+(-6+(4*(b+a))*y)*exp(-y)+(2*(b+a))*y-4*b-3)+(8*(b+a))*(exp(-y)+1)^2/(-2*exp(-y*(1+2*b+2*a))+4*exp(-y*(a+2*b+1))+4*exp(-y*(a+2*b+2))-exp(-2*y*(b+a+1))-exp(-(2*(b+a))*y)+4*exp(-y*(a+1))-4*exp(-2*y*(b+1))+4*exp(-y*a)+((2*(b+a))*y+4*b+1)*exp(-2*y)+(-6+(4*(b+a))*y)*exp(-y)+(2*(b+a))*y-4*b-3)-(16*(b+a))*(exp(-y)+1)^2*y*((2*(1+2*b+2*a))*exp(-y*(1+2*b+2*a))-(4*(a+2*b+1))*exp(-y*(a+2*b+1))-(4*(a+2*b+2))*exp(-y*(a+2*b+2))+(2*(b+a+1))*exp(-2*y*(b+a+1))+(2*(b+a))*exp(-(2*(b+a))*y)-(4*(a+1))*exp(-y*(a+1))+(8*(b+1))*exp(-2*y*(b+1))-4*a*exp(-y*a)+(2*(b+a))*exp(-2*y)-(2*((2*(b+a))*y+4*b+1))*exp(-2*y)+(4*(b+a))*exp(-y)-(-6+(4*(b+a))*y)*exp(-y)+2*a+2*b)/(-2*exp(-y*(1+2*b+2*a))+4*exp(-y*(a+2*b+1))+4*exp(-y*(a+2*b+2))-exp(-2*y*(b+a+1))-exp(-(2*(b+a))*y)+4*exp(-y*(a+1))-4*exp(-2*y*(b+1))+4*exp(-y*a)+((2*(b+a))*y+4*b+1)*exp(-2*y)+(-6+(4*(b+a))*y)*exp(-y)+(2*(b+a))*y-4*b-3)^2+(8*(b+a))*(exp(-y)+1)^2*y^2*((2*(1+2*b+2*a))*exp(-y*(1+2*b+2*a))-(4*(a+2*b+1))*exp(-y*(a+2*b+1))-(4*(a+2*b+2))*exp(-y*(a+2*b+2))+(2*(b+a+1))*exp(-2*y*(b+a+1))+(2*(b+a))*exp(-(2*(b+a))*y)-(4*(a+1))*exp(-y*(a+1))+(8*(b+1))*exp(-2*y*(b+1))-4*a*exp(-y*a)+(2*(b+a))*exp(-2*y)-(2*((2*(b+a))*y+4*b+1))*exp(-2*y)+(4*(b+a))*exp(-y)-(-6+(4*(b+a))*y)*exp(-y)+2*a+2*b)^2/(-2*exp(-y*(1+2*b+2*a))+4*exp(-y*(a+2*b+1))+4*exp(-y*(a+2*b+2))-exp(-2*y*(b+a+1))-exp(-(2*(b+a))*y)+4*exp(-y*(a+1))-4*exp(-2*y*(b+1))+4*exp(-y*a)+((2*(b+a))*y+4*b+1)*exp(-2*y)+(-6+(4*(b+a))*y)*exp(-y)+(2*(b+a))*y-4*b-3)^3-(4*(b+a))*(exp(-y)+1)^2*y^2*(-2*(1+2*b+2*a)^2*exp(-y*(1+2*b+2*a))+4*(a+2*b+1)^2*exp(-y*(a+2*b+1))+4*(a+2*b+2)^2*exp(-y*(a+2*b+2))-4*(b+a+1)^2*exp(-2*y*(b+a+1))-4*(b+a)^2*exp(-(2*(b+a))*y)+4*(a+1)^2*exp(-y*(a+1))-16*(b+1)^2*exp(-2*y*(b+1))+4*a^2*exp(-y*a)-(8*(b+a))*exp(-2*y)+(4*((2*(b+a))*y+4*b+1))*exp(-2*y)-(8*(b+a))*exp(-y)+(-6+(4*(b+a))*y)*exp(-y))/(-2*exp(-y*(1+2*b+2*a))+4*exp(-y*(a+2*b+1))+4*exp(-y*(a+2*b+2))-exp(-2*y*(b+a+1))-exp(-(2*(b+a))*y)+4*exp(-y*(a+1))-4*exp(-2*y*(b+1))+4*exp(-y*a)+((2*(b+a))*y+4*b+1)*exp(-2*y)+(-6+(4*(b+a))*y)*exp(-y)+(2*(b+a))*y-4*b-3)^2:&lt;/span&gt;&lt;/p&gt;
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&lt;td&gt;&lt;span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"&gt; &amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
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&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"&gt;Digits:=400:&lt;br&gt; &lt;/span&gt;&lt;span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"&gt;P:=plot(f(y,0.173734641949551155, 0.02), y=5.4938108636702..5.49381086367034):&lt;br&gt; &lt;/span&gt;&lt;span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"&gt;P;&lt;/span&gt;&lt;/p&gt;
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&lt;td&gt;&lt;span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"&gt; &amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
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&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"&gt;data:=evalf[30](op([1,1],indets(P,specfunc(anything,CURVES)))):&lt;br&gt; &lt;/span&gt;&lt;span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"&gt;const:={evalf[14](data[..,2][])}[1];&lt;br&gt; &lt;/span&gt;&lt;span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"&gt;newdata:=[seq(evalf[30]([t[1],(t[2]-const)*10^14]),t=data)]:&lt;br&gt; &lt;/span&gt;&lt;span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"&gt;miny,maxy:=min(newdata[..,2]),max(newdata[..,2]);&lt;/span&gt;&lt;/p&gt;
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&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=129795/428953/36a7b0c0e39e5c3c850afbf0a21aa41f.gif" alt="0.687994651740957e-13, 0.1725660332336273e-12" width="405" height="27"&gt;&lt;/p&gt;
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&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"&gt;plots:-display(subsindets(P,specfunc(anything,CURVES),&lt;br&gt; &lt;/span&gt;&lt;span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;z-&amp;gt;CURVES(newdata,op(2..nops(z),z))),&lt;br&gt; &lt;/span&gt;&lt;span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;ytickmarks=[seq(evalf[17](miny+(i-1)*(maxy-miny)/5&lt;br&gt; &lt;/span&gt;&lt;span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;=nprintf("%a",&lt;br&gt; &lt;/span&gt;&lt;span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;const+(miny+(i-1)&lt;br&gt; &lt;/span&gt;&lt;span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;*(maxy-miny)/5)&lt;br&gt; &lt;/span&gt;&lt;span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;*10^(-14))),&lt;br&gt; &lt;/span&gt;&lt;span style="color: #ff0000; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;i=1..6)]);&lt;/span&gt;&lt;/p&gt;
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&lt;p&gt;&lt;a href="/view.aspx?sf=129795/428953/icegood_plot01.mw"&gt;icegood_plot01.mw&lt;/a&gt;&lt;/p&gt;</itunes:summary>
      <description>The latest comments added to the Post, precision and plot drivers</description>
      <guid>129795</guid>
      <pubDate>Thu, 19 Jan 2012 10:12:09 Z</pubDate>
      <itunes:author>acer</itunes:author>
      <author>acer</author>
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    <item>
      <title>wow</title>
      <link>http://www.mapleprimes.com/posts/100884-Precision-And-Plot-Drivers?ref=Feed:MaplePrimes:precision and plot drivers:Comments#comment129806</link>
      <itunes:summary>&lt;p&gt;hasn't parsed plot structure itself till today. Cool stuff :)&lt;/p&gt;</itunes:summary>
      <description>The latest comments added to the Post, precision and plot drivers</description>
      <guid>129806</guid>
      <pubDate>Thu, 19 Jan 2012 17:44:47 Z</pubDate>
      <itunes:author>icegood</itunes:author>
      <author>icegood</author>
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