MMA 3.0 benchmark, test notebook
- To: mathgroup at smc.vnet.net
- Subject: [mg5587] MMA 3.0 benchmark, test notebook
- From: Karl Unterkofler <karl at itp.tu-graz.ac.at>
- Date: Fri, 27 Dec 1996 01:59:00 -0500
- Sender: owner-wri-mathgroup at wolfram.com
I have prepared a new test notebook for MMA 3.0 Send your results to karl at itp.tu-graz.ac.at (*********************************************************************** Mathematica-Compatible Notebook This notebook can be used on any computer system with Mathematica 3.0, MathReader 3.0, or any compatible application. The data for the notebook starts with the line of stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info at wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. ***********************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 5648, 131]*) (*NotebookOutlinePosition[ 34966, 1192]*) (* CellTagsIndexPosition[ 34922, 1188]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell[TextData[{ StyleBox["Mathematica", FontSlant->"Italic"], " Benchmark Test" }], "Title", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[StyleBox[ "This notebook contains 15 short calculations for use with MMA 3.0.\nRun the \ notebook without modifications.", FontColor->RGBColor[0, 0, 1]]], "Text", Evaluatable->False, AspectRatioFixed->True], Cell[BoxData[ \(Block[{}, ref = {4.35, 4.58, 1.65, 5.08, 16.93, 7.75, 3.02, 4.9, 8.65, 3.75, 7.65, 7.82, 8.4, 8.1, 9.1}; f[x_] := 4\ x - 4\ x\^2; \n\t g[x_] := BesselJ[0, x]; kdv[u_] := \[PartialD]\_t u - 1\/4\ \[PartialD]\_{x, 3}u - \(3\ u\ \[PartialD]\_x u\)\/2; q4 := \(-\(5\/8\)\) + \((\(-288\) - 96\ Cosh[t\/8 + 2\ x] + 384\ Cosh[\(11\ t\)\/16 - x]) \)/\((\(( \(-10\) - 6\ Cosh[t\/8 + 2\ x] + 6\ Cosh[\(11\ t\)\/16 - x] + 9\ Cosh[\(13\ t\)\/16 + x] + Cosh[\(9\ t\)\/16 - 3\ x])\)\ 16)\); DSolve[\[PartialD]\_{x, 2}y[x] + y[x]\ E\^x == 0, y[x], x]; time = {\t\(Timing[N[\[Pi], 13000]]\)\[LeftDoubleBracket]1 \[RightDoubleBracket], \n\t\t\t \(Timing[N[Sin[1\/2], 4000]]\)\[LeftDoubleBracket]1 \[RightDoubleBracket], \n\t\t\t \(Timing[\(10001!\)]\)\[LeftDoubleBracket]1\[RightDoubleBracket], \n\t\t\t\(Timing[FactorInteger[2\^79 - 1]]\)\[LeftDoubleBracket]1 \[RightDoubleBracket], \n\t\t\t \(Timing[PrimeQ[2\^2281 - 1]]\)\[LeftDoubleBracket]1 \[RightDoubleBracket], \n\t\t\t \(Timing[Eigenvalues[Table[Random[], {250}, {250}]]] \)\[LeftDoubleBracket]1\[RightDoubleBracket], \n\t\t\t \(Timing[Nest[f, 0.6, 15000]]\)\[LeftDoubleBracket]1 \[RightDoubleBracket], \n\t\t\t \(Timing[Nest[g, 0.6, 3000]]\)\[LeftDoubleBracket]1 \[RightDoubleBracket], \n\t\t\t \(Timing[Simplify[kdv[q4]]]\)\[LeftDoubleBracket]1 \[RightDoubleBracket], \n\t\t\t \(Timing[ DSolve[\[PartialD]\_{x, 2}y[x] + \((a\/Cosh[x]\^2 - 1)\)\ y[x] == 0, y[x], x]] \)\[LeftDoubleBracket]1\[RightDoubleBracket], \n\t\t\t \(Timing[ Eliminate[{a0\ b0 == g0, a1\ b0 + a0\ b1 == g1, a2\ b0 + 2\ a1\ b1 + a0\ b2 == g2, 3\ a2\ b1 + 3\ a1\ b2 - q1\ g1 - g0\ q11 == g3, \(-q1\)\ g2 - \(7\ q11\ g1\)\/2 - g0\ q12 + 6\ a2\ b2 - 6\ a1\ b1\ q1 == g4, g2 - 3\ a1\ b1 + q1\ g0 == \(-1\)}, {a0, a1, a2, b0, b1, b2}]]\)\[LeftDoubleBracket]1\[RightDoubleBracket], \n \t\t\t\(Timing[\[Integral]\(1\/\(1 + x\^20\)\)\[DifferentialD]x] \)\[LeftDoubleBracket]1\[RightDoubleBracket], \n\t\t\t \(Timing[Table[N[WeierstrassP[n, 1, 1]], {n, 500}]] \)\[LeftDoubleBracket]1\[RightDoubleBracket], \n\t\t\t \(Timing[ Plot3D[Sin[x\ y], {x, 0, 2\ \[Pi]}, {y, 0, 2\ \[Pi]}, PlotPoints \[Rule] 300, DisplayFunction \[Rule] Identity]] \)\[LeftDoubleBracket]1\[RightDoubleBracket], \n\t\t\t \(Timing[ Plot3D[q4, {x, \(-40\), 40}, {t, \(-40\), 40}, PlotPoints \[Rule] 70, DisplayFunction \[Rule] Identity]] \)\[LeftDoubleBracket]1\[RightDoubleBracket]} /. Second \[Rule] 1; \n\treltime = time\/ref; \n\ttimeN3 = N[time, 3]; \n\tbenchmark = N[15\/\(\[Sum]\+\(j = 1\)\%15 reltime\[LeftDoubleBracket]j \[RightDoubleBracket]\), 3]; Print["Version = ", $Version]; Print["Times = ", timeN3]; Print["Benchmark = ", benchmark]; ]\)], "Input", AspectRatioFixed->True] }, Open ]] }, FrontEndVersion->"Macintosh 3.0 Beta 3", ScreenRectangle->{{0, 832}, {0, 604}}, WindowToolbars->{}, CellGrouping->Automatic, WindowSize->{509, 499}, WindowMargins->{{Automatic, 83}, {Automatic, 0}}, PrivateNotebookOptions->{"ColorPalette"->{RGBColor, 256}}, ShowCellLabel->True, ShowCellTags->False, RenderingOptions->{"ObjectDithering"->True, "RasterDithering"->False}, CharacterEncoding->"MacintoshAutomaticEncoding", StyleDefinitions -> Notebook[{ Cell[CellGroupData[{ Cell["Style Definitions", "Subtitle"], Cell["\<\ Modify the definitions below to change the default appearance of \ all cells in a given style. 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The \"Hyperlink\" style is for links within the same Notebook, \ or between Notebooks.\ \>", "Text"], Cell[CellGroupData[{ Cell[StyleData["Hyperlink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0, 0, 1], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`NotebookLocate[ #2]}]&), Active->True, ButtonNote->ButtonData}], Cell[StyleData["Hyperlink", "Presentation"]], Cell[StyleData["Hyperlink", "Condensed"]], Cell[StyleData["Hyperlink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell["\<\ The following styles are for linking automatically to the on-line \ help system.\ \>", "Text"], Cell[CellGroupData[{ Cell[StyleData["MainBookLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontWeight->"Plain", FontColor->RGBColor[0, 0, 1], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "MainBook", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["MainBookLink", "Presentation"]], Cell[StyleData["MainBookLink", "Condensed"]], Cell[StyleData["MainBookLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["AddOnsLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontFamily->"Times", FontWeight->"Plain", FontColor->RGBColor[0, 0, 1], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "AddOns", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["AddOnsLink", "Presentation"]], Cell[StyleData["AddOnsLink", "Condensed"]], Cell[StyleData["AddOnLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["RefGuideLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontFamily->"Courier", FontWeight->"Plain", FontColor->RGBColor[0, 0, 1], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "RefGuideLink", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["RefGuideLink", "Presentation"]], Cell[StyleData["RefGuideLink", "Condensed"]], Cell[StyleData["RefGuideLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["GettingStartedLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontFamily->"Times", FontWeight->"Plain", FontColor->RGBColor[0, 0, 1], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "GettingStarted", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["GettingStartedLink", "Presentation"]], Cell[StyleData["GettingStartedLink", "Condensed"]], Cell[StyleData["GettingStartedLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["OtherInformationLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontFamily->"Times", FontWeight->"Plain", FontColor->RGBColor[0, 0, 1], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "OtherInformation", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["OtherInformationLink", "Presentation"]], Cell[StyleData["OtherInformationLink", "Condensed"]], Cell[StyleData["OtherInformationLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Placeholder Styles", "Section"], Cell["\<\ The cells below define styles useful for making placeholder \ objects in palette templates.\ \>", "Text"], Cell[CellGroupData[{ Cell[StyleData["Placeholder"], Editable->False, Selectable->False, StyleBoxAutoDelete->True, Placeholder->True, StyleMenuListing->None], Cell[StyleData["Placeholder", "Presentation"]], Cell[StyleData["Placeholder", "Condensed"]], Cell[StyleData["Placeholder", "Printout"]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["SelectionPlaceholder"], Editable->False, Selectable->False, StyleBoxAutoDelete->True, Placeholder->Primary, StyleMenuListing->None, DrawHighlighted->True], Cell[StyleData["SelectionPlaceholder", "Presentation"]], Cell[StyleData["SelectionPlaceholder", "Condensed"]], Cell[StyleData["SelectionPlaceholder", "Printout"]] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["FormatType Styles", "Section"], Cell["\<\ The cells below define styles that are mixed in with the styles \ of most cells. If a cell's FormatType matches the name of one of the styles \ defined below, then that style is applied between the cell's style and its \ own options.\ \>", "Text"], Cell[StyleData["CellExpression"], PageWidth->Infinity, CellMargins->{{6, Inherited}, {Inherited, Inherited}}, ShowCellLabel->False, ShowSpecialCharacters->False, AllowInlineCells->False, StyleMenuListing->None, FontFamily->"Courier", FontSize->12, FontColor->GrayLevel[0]], Cell[StyleData["InputForm"], AllowInlineCells->False, StyleMenuListing->None, FontFamily->"Courier"], Cell[StyleData["OutputForm"], PageWidth->Infinity, TextAlignment->Left, LineSpacing->{1, -5}, StyleMenuListing->None, FontFamily->"Courier"], Cell[StyleData["StandardForm"], LineSpacing->{1.25, 0}, StyleMenuListing->None, FontFamily->"Courier"], Cell[StyleData["TraditionalForm"], LineSpacing->{1.25, 0}, SingleLetterItalics->True, TraditionalFunctionNotation->True, DelimiterMatching->None, StyleMenuListing->None], Cell["\<\ The style defined below is mixed in to any cell that is in an \ inline cell within another.\ \>", "Text"], Cell[StyleData["InlineCell"], TextAlignment->Left, ScriptLevel->1, StyleMenuListing->None], Cell[StyleData["InlineCellEditing"], StyleMenuListing->None, Background->RGBColor[1, 0.749996, 0.8]] }, Closed]] }, Open ]] }], MacintoshSystemPageSetup->"\<\ 00l0001804P000000_02 at ?oaonh32@9BH`85:0?l0 at 00005X0FP000003[0;@001 0 at 00I00100000@0200000BL?00400000000000000000010000000000000 at 0?ne ojH?;@^J00P1000000000000000001T1\>" ] (*********************************************************************** Cached data follows. If you edit this Notebook file directly, not using Mathematica, you must remove the line containing CacheID at the top of the file. The cache data will then be recreated when you save this file from within Mathematica. ***********************************************************************) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[CellGroupData[{ Cell[1731, 51, 148, 6, 75, "Title"], Cell[1882, 59, 226, 5, 46, "Text"], Cell[2111, 66, 3521, 62, 911, "Input"] }, Open ]] } ] *) (*********************************************************************** End of Mathematica Notebook file. ***********************************************************************)