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MathGroup Archive 2003

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Bug in ColorFunctionScaling ???

  • To: mathgroup at smc.vnet.net
  • Subject: [mg39386] Bug in ColorFunctionScaling ???
  • From: Cesar Guerra <guerra_cesar at yahoo.com>
  • Date: Thu, 13 Feb 2003 04:54:01 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com


Hi math group

working with the matrix given at the end of this mail I had troubles trying to visualize it. For instance

ListDensityPlot[matrix]

works too bad as can be seen using a 3D chart

<<Graphics`Graphics3D` 

BarChart3D[matrix]

I got the correct density plot when I scaled the matrix elements by hand:

min = Min[matrix];

max = Max[matrix];

ListDensityPlot[matrix,ColorFunctionScaling->False,ColorFunction->(GrayLevel[(#-min)/(max-min)]&)];

The question: is it a bug or I lost something in the way? A similar problem arises with many matrices that I generated in which there are many numbres close to zero.

Regards.. Cesar,

Well here is the matrix. Sorry because of the horrible format

matrix={{0.024880970532441947`,0.13578975670808227`,0.027812229119535358`,
      0.0033045651867030673`,0.0003347493056088158`,0.000026302686284994582`,
      0.00004371748398547436`,0.00003681120741920656`,0.00003087537872290685`,
      0.00001905600654956626`,0.000011958703618226977`,5.517957585379249`*^-6,
      1.8928075271017263`*^-6,5.269301156366419`*^-7,
      6.489638911064354`*^-8},{0.13578975670808227`,0.9373917995816773`,
      0.19133899349592184`,0.02294180236292207`,0.002146876534122984`,
      0.00002231000770522592`,0.0001344726022920243`,0.00012287370329599313`,
      0.00011865976751467771`,0.00008588847348107676`,0.0000650218873670948`,
      0.00003769993910579926`,0.000017332922552971424`,7.275477707153364`*^-6,
      1.801352169404378`*^-6},{0.027812229119535358`,0.19133899349592184`,
      0.03906478452215391`,0.004681738877149381`,0.0004385133576867982`,
      4.090272132604937`*^-6,0.000027823395408896714`,
      0.000025374358467023346`,0.00002443091259330744`,0.0000176320249591744`,
      0.000013309659796768249`,7.69480720132288`*^-6,3.5276710986778535`*^-6,
      1.47654392225098`*^-6,3.645535247058728`*^-7},{0.0033045651867030673`,
      0.02294180236292207`,0.004681738877149381`,0.0005797298493723746`,
      0.000052839536129011784`,4.7226000276470905`*^-7,3.368374620650723`*^-6,
      3.069745381714908`*^-6,2.952410460102803`*^-6,2.12852330993168`*^-6,
      1.605032461433652`*^-6,9.269514851713523`*^-7,4.2451346697061517`*^-7,
      1.7749887062983138`*^-7,4.377821687374563`*^-8},{0.0003347493056088158`,
      0.002146876534122984`,0.0004385133576867982`,0.000052839536129011784`,
      9.255816438202384`*^-6,4.1249326083329274`*^-8,3.0266675833749047`*^-7,
      2.757224026816698`*^-7,2.650178380130713`*^-7,1.9094596136360029`*^-7,
      1.43896434791398`*^-7,8.305350785567792`*^-8,3.801262097259811`*^-8,
      1.588429369111028`*^-8,
      3.915317215838556`*^-9},{0.000026302686284994582`,
      0.00002231000770522592`,4.090272132604937`*^-6,4.7226000276470905`*^-7,
      4.1249326083329274`*^-8,3.535859690725517`*^-6,2.1961201225893756`*^-8,
      2.0000362799666382`*^-8,1.92152398727093`*^-8,1.3838515977742497`*^-8,
      1.0424076404006913`*^-8,6.0138740883614725`*^-9,2.7512702310528075`*^-9,
      1.1491658404200648`*^-9,
      2.831335936719118`*^-10},{0.00004371748398547436`,
      0.0001344726022920243`,0.000027823395408896714`,3.368374620650723`*^-6,
      3.0266675833749047`*^-7,2.1961201225893756`*^-8,1.3721693600020958`*^-6,
      1.2199036050151096`*^-9,1.17158414848564`*^-9,8.434512469918671`*^-10,
      6.351128550113803`*^-10,3.6627785449735637`*^-10,
      1.675069186742091`*^-10,6.993998508257666`*^-11,
      1.7225733012431472`*^-11},{0.00003681120741920656`,
      0.00012287370329599313`,0.000025374358467023346`,3.069745381714908`*^-6,
      2.757224026816698`*^-7,2.0000362799666382`*^-8,1.2199036050151096`*^-9,
      5.794192640789079`*^-7,6.135409523313631`*^-11,4.4155949418835226`*^-11,
      3.3238340437588365`*^-11,1.916277391009494`*^-11,
      8.760720928814635`*^-12,3.6567233858746355`*^-12,
      9.003344351753371`*^-13},{0.00003087537872290685`,
      0.00011865976751467771`,0.00002443091259330744`,2.952410460102803`*^-6,
      2.650178380130713`*^-7,1.92152398727093`*^-8,1.17158414848564`*^-9,
      6.135409523313631`*^-11,2.6403332491754`*^-7,2.0055352842629293`*^-12,
      1.509195581203532`*^-12,8.698207176501544`*^-13,3.975359904169974`*^-13,
      1.6587999868150363`*^-13,
      4.0829224450233844`*^-14},{0.00001905600654956626`,
      0.00008588847348107676`,0.0000176320249591744`,2.12852330993168`*^-6,
      1.9094596136360029`*^-7,1.3838515977742497`*^-8,8.434512469918671`*^-10,
      4.4155949418835226`*^-11,2.0055352842629293`*^-12,7.78759863903862`*^-8,
      5.953442715856466`*^-14,3.4301675965039096`*^-14,
      1.567201965631006`*^-14,6.53740694684916`*^-15,
      1.6085914870370433`*^-15},{0.000011958703618226977`,
      0.0000650218873670948`,0.000013309659796768249`,1.605032461433652`*^-6,
      1.43896434791398`*^-7,1.0424076404006913`*^-8,6.351128550113803`*^-10,
      3.3238340437588365`*^-11,1.509195581203532`*^-12,
      5.953442715856466`*^-14,2.9305747143573262`*^-8,
      1.1656559281957215`*^-15,5.323917587243905`*^-16,
      2.2200368196954134`*^-16,
      5.4608078423152933`*^-17},{5.517957585379249`*^-6,
      0.00003769993910579926`,7.69480720132288`*^-6,9.269514851713523`*^-7,
      8.305350785567792`*^-8,6.0138740883614725`*^-9,3.6627785449735637`*^-10,
      1.916277391009494`*^-11,8.698207176501544`*^-13,
      3.4301675965039096`*^-14,1.1656559281957215`*^-15,7.76299670479757`*^-9,
      1.5221789994509213`*^-17,6.345037635961268`*^-18,
      1.5602293071790306`*^-18},{1.8928075271017263`*^-6,
      0.000017332922552971424`,3.5276710986778535`*^-6,
      4.2451346697061517`*^-7,3.801262097259811`*^-8,2.7512702310528075`*^-9,
      1.675069186742091`*^-10,8.760720928814635`*^-12,3.975359904169974`*^-13,
      1.567201965631006`*^-14,5.323917587243905`*^-16,
      1.5221789994509213`*^-17,1.6163732178696085`*^-9,
      1.4386200807791453`*^-19,
      3.530345878524741`*^-20},{5.269301156366419`*^-7,7.275477707153364`*^-6,
      1.47654392225098`*^-6,1.7749887062983138`*^-7,1.588429369111028`*^-8,
      1.1491658404200648`*^-9,6.993998508257666`*^-11,
      3.6567233858746355`*^-12,1.6587999868150363`*^-13,
      6.53740694684916`*^-15,2.2200368196954134`*^-16,6.345037635961268`*^-18,
      1.4386200807791453`*^-19,3.740548209112563`*^-10,
      6.532730362808272`*^-22},{6.489638911064354`*^-8,1.801352169404378`*^-6,
      3.645535247058728`*^-7,4.377821687374563`*^-8,3.915317215838556`*^-9,
      2.831335936719118`*^-10,1.7225733012431472`*^-11,
      9.003344351753371`*^-13,4.0829224450233844`*^-14,
      1.6085914870370433`*^-15,5.4608078423152933`*^-17,
      1.5602293071790306`*^-18,3.530345878524741`*^-20,
      6.532730362808272`*^-22,4.517936598686041`*^-11}}




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