diff options
44 files changed, 514 insertions, 4219 deletions
@@ -249,12 +249,12 @@ options = (\opt -> return opt { optSmart = True })) "" -- "Use smart quotes, dashes, and ellipses" - , Option "m" ["asciimathml"] + , Option "m" ["latexmathml", "asciimathml"] (OptArg (\arg opt -> return opt { optHTMLMathMethod = - ASCIIMathML arg }) + LaTeXMathML arg }) "URL") - "" -- "Use ASCIIMathML script in html output" + "" -- "Use LaTeXMathML script in html output" , Option "" ["mimetex"] (OptArg @@ -310,27 +310,27 @@ For further documentation, see the `pandoc(1)` man page. `markdown`. It is selected automatically when the output format is `latex` or `context`.) -`-m`*[url]* or `--asciimathml`*[=url]* -: causes `pandoc` to use Peter Jipsen's [ASCIIMathML] script to display - TeX math in HTML or S5. If a local copy of `ASCIIMathML.js` is +`-m`*[url]* or `--latexmathml`*[=url]* +: causes `pandoc` to use the [LaTeXMathML] script to display + TeX math in HTML or S5. If a local copy of `LaTeXMathML.js` is available on the webserver where the page will be viewed, provide a *url* and a link will be inserted in the generated HTML or S5. If no *url* is provided, the contents of the script will be inserted directly; this provides portability at the price of efficiency. If you plan to use math on several pages, it is much better to link to - a copy of `ASCIIMathML.js`, which can be cached. (See `--gladtex` + a copy of `LaTeXMathML.js`, which can be cached. (See `--gladtex` and `--mimetex` for alternative ways of dealing with math in HTML.) `--gladtex`*[=url]* : causes TeX formulas to be enclosed in `<eq>` tags in HTML or S5 output. This output can then be processed by [gladTeX] to produce links to - images with the typeset formulas. (See `--asciimathml` and + images with the typeset formulas. (See `--latexmathml` and `--mimetex` for alternative ways of dealing with math in HTML.) `--mimetex`*[=url]* : causes TeX formulas to be replaced by `<img>` tags linking to the [mimeTeX] CGI script, which will produce images with the typeset - formulas. (See `--asciimathml` and `--mimetex` for alternative + formulas. (See `--latexmathml` and `--mimetex` for alternative ways of dealing with math in HTML.) `-i` or `--incremental` @@ -386,7 +386,7 @@ For further documentation, see the `pandoc(1)` man page. : prints a usage message to STDERR. [Smartypants]: http://daringfireball.net/projects/smartypants/ -[ASCIIMathML]: http://www1.chapman.edu/~jipsen/mathml/asciimath.html +[LaTeXMathML]: http://math.etsu.edu/LaTeXMathML/ [gladTeX]: http://www.math.uio.no/~martingu/gladtex/index.html [mimeTeX]: http://www.forkosh.com/mimetex.html @@ -930,11 +930,11 @@ command-line options selected: are put inside a `span` with `class="math"`, so that they may be styled differently from the surrounding text if needed. -2. If the `--asciimathml` option is used, TeX math will be displayed - between $ characters, as in LaTeX, and the [ASCIIMathML] script will +2. If the `--latexmathml` option is used, TeX math will be displayed + between $ characters, as in LaTeX, and the [LaTeXMathML] script will be used to render it as formulas. (This trick does not work in all browsers, but it works in Firefox. In browsers that do not support - ASCIIMathML, TeX math will appear verbatim between $ characters.) + LaTeXMathML, TeX math will appear verbatim between $ characters.) 3. If the `--mimetex` option is used, the [mimeTeX] CGI script will be called to generate images for each TeX formula. This should diff --git a/Text/Pandoc/ASCIIMathML.hs b/Text/Pandoc/ASCIIMathML.hs deleted file mode 100644 index 233040dcc..000000000 --- a/Text/Pandoc/ASCIIMathML.hs +++ /dev/null @@ -1,14 +0,0 @@ -{-# LANGUAGE CPP, TemplateHaskell #-} --- | Definitions for use of ASCIIMathML in HTML. --- (See <http://www1.chapman.edu/~jipsen/mathml/asciimath.html>.) -module Text.Pandoc.ASCIIMathML ( asciiMathMLScript ) where -import Text.Pandoc.TH ( contentsOf ) -import System.FilePath ( (</>) ) - --- | String containing ASCIIMathML javascript. -asciiMathMLScript :: String -#ifndef __HADDOCK__ -asciiMathMLScript = "<script type=\"text/javascript\">\n" ++ - $(contentsOf $ "data" </> "ASCIIMathML.js.comment") ++ - $(contentsOf $ "data" </> "ASCIIMathML.js.packed") ++ "</script>\n" -#endif diff --git a/Text/Pandoc/Definition.hs b/Text/Pandoc/Definition.hs index e97a2a53a..66c3ab878 100644 --- a/Text/Pandoc/Definition.hs +++ b/Text/Pandoc/Definition.hs @@ -98,6 +98,9 @@ data QuoteType = SingleQuote | DoubleQuote deriving (Show, Eq, Read, Typeable, D -- | Link target (URL, title). type Target = (String, String) +-- | Type of math element (display or inline). +data MathType = DisplayMath | InlineMath deriving (Show, Eq, Read, Typeable, Data) + -- | Inline elements. data Inline = Str String -- ^ Text (string) @@ -116,7 +119,7 @@ data Inline | Apostrophe -- ^ Apostrophe | Ellipses -- ^ Ellipses | LineBreak -- ^ Hard line break - | Math String -- ^ TeX math (literal) + | Math MathType String -- ^ TeX math (literal) | TeX String -- ^ LaTeX code (literal) | HtmlInline String -- ^ HTML code (literal) | Link [Inline] Target -- ^ Hyperlink: text (list of inlines), target diff --git a/Text/Pandoc/LaTeXMathML.hs b/Text/Pandoc/LaTeXMathML.hs new file mode 100644 index 000000000..de0d3875f --- /dev/null +++ b/Text/Pandoc/LaTeXMathML.hs @@ -0,0 +1,14 @@ +{-# LANGUAGE CPP, TemplateHaskell #-} +-- | Definitions for use of LaTeXMathML in HTML. +-- (See http://math.etsu.edu/LaTeXMathML/) +module Text.Pandoc.LaTeXMathML ( latexMathMLScript ) where +import Text.Pandoc.TH ( contentsOf ) +import System.FilePath ( (</>) ) + +-- | String containing LaTeXMathML javascript. +latexMathMLScript :: String +#ifndef __HADDOCK__ +latexMathMLScript = "<script type=\"text/javascript\">\n" ++ + $(contentsOf $ "data" </> "LaTeXMathML.js.comment") ++ + $(contentsOf $ "data" </> "LaTeXMathML.js.packed") ++ "</script>\n" +#endif diff --git a/Text/Pandoc/Readers/LaTeX.hs b/Text/Pandoc/Readers/LaTeX.hs index 2ce0204ee..883c1bbd1 100644 --- a/Text/Pandoc/Readers/LaTeX.hs +++ b/Text/Pandoc/Readers/LaTeX.hs @@ -153,7 +153,6 @@ block = choice [ hrule , header , list , blockQuote - , mathBlock , comment , bibliographic , para @@ -219,26 +218,6 @@ blockQuote = (environment "quote" <|> environment "quotation") >>~ spaces >>= return . BlockQuote -- --- math block --- - -mathBlock :: GenParser Char st Block -mathBlock = mathBlockWith (begin "equation") (end "equation") <|> - mathBlockWith (begin "displaymath") (end "displaymath") <|> - mathBlockWith (try $ string "\\[") (try $ string "\\]") <?> - "math block" - -mathBlockWith :: GenParser Char st t - -> GenParser Char st end - -> GenParser Char st Block -mathBlockWith start end' = try $ do - start - spaces - result <- manyTill anyChar end' - spaces - return $ BlockQuote [Para [Math result]] - --- -- list blocks -- @@ -683,21 +662,31 @@ endline = try $ newline >> notFollowedBy blankline >> return Space -- math math :: GenParser Char st Inline -math = math1 <|> math2 <?> "math" - -math1 :: GenParser Char st Inline -math1 = try $ do - char '$' - result <- many (noneOf "$") - char '$' - return $ Math result - -math2 :: GenParser Char st Inline -math2 = try $ do - string "\\(" - result <- many (noneOf "$") - string "\\)" - return $ Math result +math = (math3 >>= return . Math DisplayMath) + <|> (math1 >>= return . Math InlineMath) + <|> (math2 >>= return . Math InlineMath) + <|> (math4 >>= return . Math DisplayMath) + <|> (math5 >>= return . Math DisplayMath) + <|> (math6 >>= return . Math DisplayMath) + <?> "math" + +math1 :: GenParser Char st String +math1 = try $ char '$' >> manyTill anyChar (char '$') + +math2 :: GenParser Char st String +math2 = try $ string "\\(" >> manyTill anyChar (try $ string "\\)") + +math3 :: GenParser Char st String +math3 = try $ char '$' >> math1 >>~ char '$' + +math4 :: GenParser Char st String +math4 = try $ (begin "equation") >> spaces >> manyTill anyChar (end "equation") + +math5 :: GenParser Char st String +math5 = try $ (begin "displaymath") >> spaces >> manyTill anyChar (end "displaymath") + +math6 :: GenParser Char st String +math6 = try $ (string "\\[") >> spaces >> manyTill anyChar (try $ string "\\]") -- -- links and images diff --git a/Text/Pandoc/Readers/Markdown.hs b/Text/Pandoc/Readers/Markdown.hs index ac7096d37..f030f07ad 100644 --- a/Text/Pandoc/Readers/Markdown.hs +++ b/Text/Pandoc/Readers/Markdown.hs @@ -870,14 +870,21 @@ mathWord = many1 ((noneOf " \t\n\\$") <|> (try (char '\\') >>~ notFollowedBy (char '$'))) math :: GenParser Char ParserState Inline -math = try $ do +math = (mathDisplay >>= return . Math DisplayMath) + <|> (mathInline >>= return . Math InlineMath) + +mathDisplay :: GenParser Char ParserState String +mathDisplay = try $ char '$' >> mathInline >>~ char '$' >>~ notFollowedBy digit + +mathInline :: GenParser Char ParserState String +mathInline = try $ do failIfStrict char '$' notFollowedBy space words' <- sepBy1 mathWord (many1 (spaceChar <|> (newline >>~ notFollowedBy' blankline))) char '$' notFollowedBy digit - return $ Math $ joinWithSep " " words' + return $ joinWithSep " " words' emph :: GenParser Char ParserState Inline emph = ((enclosed (char '*') (notFollowedBy' strong >> char '*') inline) <|> diff --git a/Text/Pandoc/Shared.hs b/Text/Pandoc/Shared.hs index d14a49d82..38c1cf6b4 100644 --- a/Text/Pandoc/Shared.hs +++ b/Text/Pandoc/Shared.hs @@ -715,8 +715,8 @@ refsMatch ((Quoted t x):restx) ((Quoted u y):resty) = t == u && refsMatch x y && refsMatch restx resty refsMatch ((Code x):restx) ((Code y):resty) = ((map toLower x) == (map toLower y)) && refsMatch restx resty -refsMatch ((Math x):restx) ((Math y):resty) = - ((map toLower x) == (map toLower y)) && refsMatch restx resty +refsMatch ((Math t x):restx) ((Math u y):resty) = + ((map toLower x) == (map toLower y)) && t == u && refsMatch restx resty refsMatch ((TeX x):restx) ((TeX y):resty) = ((map toLower x) == (map toLower y)) && refsMatch restx resty refsMatch ((HtmlInline x):restx) ((HtmlInline y):resty) = @@ -876,7 +876,7 @@ isHeaderBlock _ = False -- data HTMLMathMethod = PlainMath - | ASCIIMathML (Maybe String) -- url of ASCIIMathML.js + | LaTeXMathML (Maybe String) -- url of LaTeXMathML.js | GladTeX | MimeTeX String -- url of mimetex.cgi deriving (Show, Read, Eq) diff --git a/Text/Pandoc/Writers/ConTeXt.hs b/Text/Pandoc/Writers/ConTeXt.hs index 62e205ee5..7f5af4191 100644 --- a/Text/Pandoc/Writers/ConTeXt.hs +++ b/Text/Pandoc/Writers/ConTeXt.hs @@ -272,7 +272,8 @@ inlineToConTeXt EmDash = return $ text "---" inlineToConTeXt EnDash = return $ text "--" inlineToConTeXt Ellipses = return $ text "\\ldots{}" inlineToConTeXt (Str str) = return $ text $ stringToConTeXt str -inlineToConTeXt (Math str) = return $ char '$' <> text str <> char '$' +inlineToConTeXt (Math InlineMath str) = return $ char '$' <> text str <> char '$' +inlineToConTeXt (Math DisplayMath str) = return $ text "\\startformula " <> text str <> text " \\stopformula" inlineToConTeXt (TeX str) = return $ text str inlineToConTeXt (HtmlInline _) = return empty inlineToConTeXt (LineBreak) = return $ text "\\crlf\n" diff --git a/Text/Pandoc/Writers/Docbook.hs b/Text/Pandoc/Writers/Docbook.hs index 5b433c434..9ed4e808f 100644 --- a/Text/Pandoc/Writers/Docbook.hs +++ b/Text/Pandoc/Writers/Docbook.hs @@ -236,7 +236,7 @@ inlineToDocbook _ EmDash = text "—" inlineToDocbook _ EnDash = text "–" inlineToDocbook _ (Code str) = inTagsSimple "literal" $ text (escapeStringForXML str) -inlineToDocbook opts (Math str) = inlinesToDocbook opts $ readTeXMath str +inlineToDocbook opts (Math _ str) = inlinesToDocbook opts $ readTeXMath str inlineToDocbook _ (TeX _) = empty inlineToDocbook _ (HtmlInline _) = empty inlineToDocbook _ LineBreak = text $ "<literallayout></literallayout>" diff --git a/Text/Pandoc/Writers/HTML.hs b/Text/Pandoc/Writers/HTML.hs index e5ed4468e..4af644a91 100644 --- a/Text/Pandoc/Writers/HTML.hs +++ b/Text/Pandoc/Writers/HTML.hs @@ -30,7 +30,7 @@ Conversion of 'Pandoc' documents to HTML. -} module Text.Pandoc.Writers.HTML ( writeHtml , writeHtmlString ) where import Text.Pandoc.Definition -import Text.Pandoc.ASCIIMathML +import Text.Pandoc.LaTeXMathML import Text.Pandoc.CharacterReferences ( decodeCharacterReferences ) import Text.Pandoc.Shared import Text.Pandoc.Readers.TeXMath @@ -123,9 +123,9 @@ writeHtml opts (Pandoc (Meta tit authors date) blocks) = '\n':(unlines $ S.toList cssLines) math = if stMath newstate then case writerHTMLMathMethod opts of - ASCIIMathML Nothing -> - primHtml asciiMathMLScript - ASCIIMathML (Just url) -> + LaTeXMathML Nothing -> + primHtml latexMathMLScript + LaTeXMathML (Just url) -> script ! [src url, thetype "text/javascript"] $ noHtml @@ -268,7 +268,7 @@ inlineListToIdentifier' (x:xs) = Apostrophe -> "" Ellipses -> "" LineBreak -> "-" - Math _ -> "" + Math _ _ -> "" TeX _ -> "" HtmlInline _ -> "" Link lst _ -> inlineListToIdentifier' lst @@ -455,10 +455,13 @@ inlineToHtml opts inline = primHtmlChar "rdquo") in do contents <- inlineListToHtml opts lst return $ leftQuote +++ contents +++ rightQuote - (Math str) -> modify (\st -> st {stMath = True}) >> + (Math t str) -> + modify (\st -> st {stMath = True}) >> (case writerHTMLMathMethod opts of - ASCIIMathML _ -> - return $ stringToHtml ("$" ++ str ++ "$") + LaTeXMathML _ -> + return $ if t == InlineMath + then primHtml ("$" ++ str ++ "$") + else primHtml ("$$" ++ str ++ "$$") MimeTeX url -> return $ image ! [src (url ++ "?" ++ str), alt str, title str] @@ -467,7 +470,10 @@ inlineToHtml opts inline = PlainMath -> inlineListToHtml opts (readTeXMath str) >>= return . (thespan ! [theclass "math"])) - (TeX _) -> return noHtml + (TeX str) -> case writerHTMLMathMethod opts of + LaTeXMathML _ -> do modify (\st -> st {stMath = True}) + return $ primHtml str + _ -> return noHtml (HtmlInline str) -> return $ primHtml str (Link [Code str] (s,_)) | "mailto:" `isPrefixOf` s -> return $ obfuscateLink opts str s diff --git a/Text/Pandoc/Writers/LaTeX.hs b/Text/Pandoc/Writers/LaTeX.hs index 89170dee1..a13c51b30 100644 --- a/Text/Pandoc/Writers/LaTeX.hs +++ b/Text/Pandoc/Writers/LaTeX.hs @@ -299,7 +299,8 @@ inlineToLaTeX EmDash = return $ text "---" inlineToLaTeX EnDash = return $ text "--" inlineToLaTeX Ellipses = return $ text "\\ldots{}" inlineToLaTeX (Str str) = return $ text $ stringToLaTeX str -inlineToLaTeX (Math str) = return $ char '$' <> text str <> char '$' +inlineToLaTeX (Math InlineMath str) = return $ char '$' <> text str <> char '$' +inlineToLaTeX (Math DisplayMath str) = return $ text "\\[" <> text str <> text "\\]" inlineToLaTeX (TeX str) = return $ text str inlineToLaTeX (HtmlInline _) = return empty inlineToLaTeX (LineBreak) = return $ text "\\\\" diff --git a/Text/Pandoc/Writers/Man.hs b/Text/Pandoc/Writers/Man.hs index 9037c24af..0bd6b92ef 100644 --- a/Text/Pandoc/Writers/Man.hs +++ b/Text/Pandoc/Writers/Man.hs @@ -272,7 +272,10 @@ inlineToMan _ Ellipses = return $ text "\\&..." inlineToMan _ (Code str) = return $ text $ "\\f[B]" ++ escapeCode str ++ "\\f[]" inlineToMan _ (Str str) = return $ text $ escapeString str -inlineToMan opts (Math str) = inlineToMan opts (Code str) +inlineToMan opts (Math InlineMath str) = inlineToMan opts (Code str) +inlineToMan opts (Math DisplayMath str) = do + contents <- inlineToMan opts (Code str) + return $ text ".RS" $$ contents $$ text ".RE" inlineToMan _ (TeX _) = return empty inlineToMan _ (HtmlInline str) = return $ text $ escapeCode str inlineToMan _ (LineBreak) = return $ text "\n.PD 0\n.P\n.PD\n" diff --git a/Text/Pandoc/Writers/Markdown.hs b/Text/Pandoc/Writers/Markdown.hs index 7c360bec2..d8ad8454f 100644 --- a/Text/Pandoc/Writers/Markdown.hs +++ b/Text/Pandoc/Writers/Markdown.hs @@ -337,7 +337,8 @@ inlineToMarkdown _ (Code str) = spacer = if (longest == 0) then "" else " " in return $ text (marker ++ spacer ++ str ++ spacer ++ marker) inlineToMarkdown _ (Str str) = return $ text $ escapeString str -inlineToMarkdown _ (Math str) = return $ char '$' <> text str <> char '$' +inlineToMarkdown _ (Math InlineMath str) = return $ char '$' <> text str <> char '$' +inlineToMarkdown _ (Math DisplayMath str) = return $ text "$$" <> text str <> text "$$" inlineToMarkdown _ (TeX str) = return $ text str inlineToMarkdown _ (HtmlInline str) = return $ text str inlineToMarkdown _ (LineBreak) = return $ text " \n" diff --git a/Text/Pandoc/Writers/MediaWiki.hs b/Text/Pandoc/Writers/MediaWiki.hs index 97d9d00c6..7d43c6fc4 100644 --- a/Text/Pandoc/Writers/MediaWiki.hs +++ b/Text/Pandoc/Writers/MediaWiki.hs @@ -357,7 +357,7 @@ inlineToMediaWiki _ (Code str) = inlineToMediaWiki _ (Str str) = return $ escapeString str -inlineToMediaWiki _ (Math str) = return $ "<math>" ++ str ++ "</math>" +inlineToMediaWiki _ (Math _ str) = return $ "<math>" ++ str ++ "</math>" -- note: str should NOT be escaped inlineToMediaWiki _ (TeX _) = return "" diff --git a/Text/Pandoc/Writers/OpenDocument.hs b/Text/Pandoc/Writers/OpenDocument.hs index 70aab92f1..875ab5fa8 100644 --- a/Text/Pandoc/Writers/OpenDocument.hs +++ b/Text/Pandoc/Writers/OpenDocument.hs @@ -379,7 +379,7 @@ inlineToOpenDocument o ils | SmallCaps l <- ils = withTextStyle SmallC $ inlinesToOpenDocument o l | Quoted t l <- ils = inQuotes t <$> inlinesToOpenDocument o l | Code s <- ils = preformatted s - | Math s <- ils = inlinesToOpenDocument o (readTeXMath s) + | Math _ s <- ils = inlinesToOpenDocument o (readTeXMath s) | Cite _ l <- ils = inlinesToOpenDocument o l | TeX s <- ils = preformatted s | HtmlInline s <- ils = preformatted s diff --git a/Text/Pandoc/Writers/RST.hs b/Text/Pandoc/Writers/RST.hs index 9215f051d..de65bcf0e 100644 --- a/Text/Pandoc/Writers/RST.hs +++ b/Text/Pandoc/Writers/RST.hs @@ -291,14 +291,16 @@ inlineToRST Apostrophe = return $ char '\'' inlineToRST Ellipses = return $ text "..." inlineToRST (Code str) = return $ text $ "``" ++ str ++ "``" inlineToRST (Str str) = return $ text $ escapeString str -inlineToRST (Math str) = do +inlineToRST (Math t str) = do includes <- get >>= (return . stIncludes) let rawMathRole = ".. role:: math(raw)\n" ++ " :format: html latex\n" if not (rawMathRole `elem` includes) then modify $ \st -> st { stIncludes = rawMathRole : includes } else return () - return $ text $ ":math:`$" ++ str ++ "$`" + return $ if t == InlineMath + then text $ ":math:`$" ++ str ++ "$`" + else text $ ":math:`$$" ++ str ++ "$$`" inlineToRST (TeX _) = return empty inlineToRST (HtmlInline _) = return empty inlineToRST (LineBreak) = do diff --git a/Text/Pandoc/Writers/RTF.hs b/Text/Pandoc/Writers/RTF.hs index d0fbfb53a..e31a162a5 100644 --- a/Text/Pandoc/Writers/RTF.hs +++ b/Text/Pandoc/Writers/RTF.hs @@ -275,7 +275,7 @@ inlineToRTF EmDash = "\\u8212-" inlineToRTF EnDash = "\\u8211-" inlineToRTF (Code str) = "{\\f1 " ++ (codeStringToRTF str) ++ "}" inlineToRTF (Str str) = stringToRTF str -inlineToRTF (Math str) = inlineListToRTF $ readTeXMath str +inlineToRTF (Math _ str) = inlineListToRTF $ readTeXMath str inlineToRTF (Cite _ lst) = inlineListToRTF lst inlineToRTF (TeX _) = "" inlineToRTF (HtmlInline _) = "" diff --git a/Text/Pandoc/Writers/Texinfo.hs b/Text/Pandoc/Writers/Texinfo.hs index d0e134346..305a1a8d0 100644 --- a/Text/Pandoc/Writers/Texinfo.hs +++ b/Text/Pandoc/Writers/Texinfo.hs @@ -30,6 +30,7 @@ Conversion of 'Pandoc' format into Texinfo. module Text.Pandoc.Writers.Texinfo ( writeTexinfo ) where import Text.Pandoc.Definition import Text.Pandoc.Shared +import Text.Pandoc.Readers.TeXMath import Text.Printf ( printf ) import Data.List ( isSuffixOf ) import Data.Char ( chr, ord ) @@ -364,7 +365,7 @@ inlineForNode EnDash = return $ text "--" inlineForNode Apostrophe = return $ char '\'' inlineForNode Ellipses = return $ text "..." inlineForNode LineBreak = return empty -inlineForNode (Math _) = return empty +inlineForNode (Math _ str) = inlineListForNode $ readTeXMath str inlineForNode (TeX _) = return empty inlineForNode (HtmlInline _) = return empty inlineForNode (Link lst _) = inlineListForNode lst @@ -437,7 +438,7 @@ inlineToTexinfo EmDash = return $ text "---" inlineToTexinfo EnDash = return $ text "--" inlineToTexinfo Ellipses = return $ text "@dots{}" inlineToTexinfo (Str str) = return $ text (stringToTexinfo str) -inlineToTexinfo (Math str) = return $ inCmd "math" $ text str +inlineToTexinfo (Math _ str) = return $ inCmd "math" $ text str inlineToTexinfo (TeX str) = return $ text "@tex" $$ text str $$ text "@end tex" inlineToTexinfo (HtmlInline _) = return empty inlineToTexinfo (LineBreak) = return $ text "@*" diff --git a/data/ASCIIMathML.js b/data/ASCIIMathML.js deleted file mode 100644 index ddb2604e2..000000000 --- a/data/ASCIIMathML.js +++ /dev/null @@ -1,3363 +0,0 @@ -/* -ASCIIMathML.js -============== -This file contains JavaScript functions to convert ASCII math notation -and LaTeX to Presentation MathML. Simple graphics commands are also -translated to SVG images. The conversion is done while the (X)HTML -page loads, and should work with Firefox/Mozilla/Netscape 7+ and Internet -Explorer 6/7 + MathPlayer (http://www.dessci.com/en/products/mathplayer/) + -Adobe SVGview 3.03 (http://www.adobe.com/svg/viewer/install/). - -Just add the next line to your (X)HTML page with this file in the same folder: - -<script type="text/javascript" src="ASCIIMathML.js"></script> - -(using the graphics in IE also requires the file "d.svg" in the same folder). -This is a convenient and inexpensive solution for authoring MathML and SVG. - -Version 2.0.9 Nov 3, 2007, (c) Peter Jipsen http://www.chapman.edu/~jipsen -This version extends ASCIIMathML.js with LaTeXMathML.js and ASCIIsvg.js. -Latest version at http://www.chapman.edu/~jipsen/mathml/ASCIIMathML.js -If you use it on a webpage, please send the URL to jipsen@chapman.edu - -The LaTeXMathML modifications were made by Douglas Woodall, June 2006. -(for details see header on the LaTeXMathML part in middle of file) -Extensive clean-up and improvements by Paulo Soares, Oct 2007. - -This program is free software; you can redistribute it and/or modify -it under the terms of the GNU Lesser General Public License as published by -the Free Software Foundation; either version 2.1 of the License, or (at -your option) any later version. - -This program is distributed in the hope that it will be useful, but WITHOUT -ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS -FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License -(at http://www.gnu.org/licences/lgpl.html) for more details. -*/ - -var mathcolor = ""; // change it to "" (to inherit) or another color -var mathfontsize = "1em"; // change to e.g. 1.2em for larger math -var mathfontfamily = "serif"; // change to "" to inherit (works in IE) - // or another family (e.g. "arial") -var automathrecognize = false; // writing "amath" on page makes this true -var checkForMathML = true; // check if browser can display MathML -var notifyIfNoMathML = true; // display note at top if no MathML capability -var alertIfNoMathML = false; // show alert box if no MathML capability -var translateOnLoad = true; // set to false to do call translators from js -var translateLaTeX = true; // false to preserve $..$, $$..$$ -var translateLaTeXformatting = true; // false to preserve \emph,\begin{},\end{} -var translateASCIIMath = true; // false to preserve `..` -var translateASCIIsvg = true; // false to preserve agraph.., \begin{graph}.. -var avoidinnerHTML = false; // set true if assigning to innerHTML gives error -var displaystyle = true; // puts limits above and below large operators -var showasciiformulaonhover = true; // helps students learn ASCIIMath -var decimalsign = "."; // change to "," if you like, beware of `(1,2)`! -var AMdelimiter1 = "`", AMescape1 = "\\\\`"; // can use other characters -var AMdocumentId = "wikitext" // PmWiki element containing math (default=body) -var checkforprocessasciimathinmoodle = false; // true for systems like Moodle -var dsvglocation = ""; // path to d.svg (blank if same as ASCIIMathML.js loc) - -/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ - -var isIE = document.createElementNS==null; -var noMathML = false, translated = false; - -if (isIE) { // avoid adding MathPlayer info explicitly to each webpage - document.write("<object id=\"mathplayer\"\ - classid=\"clsid:32F66A20-7614-11D4-BD11-00104BD3F987\"></object>"); - document.write("<?import namespace=\"m\" implementation=\"#mathplayer\"?>"); -} - -// Add a stylesheet, replacing any previous custom stylesheet (adapted from TW) -function setStylesheet(s) { - var id = "AMMLcustomStyleSheet"; - var n = document.getElementById(id); - if(document.createStyleSheet) { - // Test for IE's non-standard createStyleSheet method - if(n) - n.parentNode.removeChild(n); - // This failed without the - document.getElementsByTagName("head")[0].insertAdjacentHTML("beforeEnd"," <style id='" + id + "'>" + s + "</style>"); - } else { - if(n) { - n.replaceChild(document.createTextNode(s),n.firstChild); - } else { - n = document.createElement("style"); - n.type = "text/css"; - n.id = id; - n.appendChild(document.createTextNode(s)); - document.getElementsByTagName("head")[0].appendChild(n); - } - } -} - -setStylesheet("#AMMLcloseDiv \{font-size:0.8em; padding-top:1em; color:#014\}\n#AMMLwarningBox \{position:absolute; width:100%; top:0; left:0; z-index:200; text-align:center; font-size:1em; font-weight:bold; padding:0.5em 0 0.5em 0; color:#ffc; background:#c30\}"); - -function init(){ - var msg, warnings = new Array(); - if (document.getElementById==null){ - alert("This webpage requires a recent browser such as Mozilla Firefox/Netscape 7+ or Internet Explorer 6+ with MathPlayer and Adobe SVGviewer"); - return null; - } - if (checkForMathML && (msg = checkMathML())) warnings.push(msg); - if (checkIfSVGavailable && (msg = checkSVG())) warnings.push(msg); - if (warnings.length>0) displayWarnings(warnings); - if (!noMathML) initSymbols(); - return true; -} - -function checkMathML(){ - if (navigator.appName.slice(0,8)=="Netscape") - if (navigator.appVersion.slice(0,1)>="5") noMathML = null; - else noMathML = true; - else if (navigator.appName.slice(0,9)=="Microsoft") - try { - var ActiveX = new ActiveXObject("MathPlayer.Factory.1"); - noMathML = null; - } catch (e) { - noMathML = true; - } - else noMathML = true; -//noMathML = true; //uncomment to check - if (noMathML && notifyIfNoMathML) { - var msg = "To view the ASCIIMathML notation use Internet Explorer + MathPlayer or Mozilla Firefox 2.0 or later."; - if (alertIfNoMathML) - alert(msg); - else return msg; - } -} - -function hideWarning(){ - var body = document.getElementsByTagName("body")[0]; - body.removeChild(document.getElementById('AMMLwarningBox')); - body.onclick = null; -} - -function displayWarnings(warnings) { - var i, frag, nd = createElementXHTML("div"); - var body = document.getElementsByTagName("body")[0]; - body.onclick=hideWarning; - nd.id = 'AMMLwarningBox'; - for (i=0; i<warnings.length; i++) { - frag = createElementXHTML("div"); - frag.appendChild(document.createTextNode(warnings[i])); - frag.style.paddingBottom = "1.0em"; - nd.appendChild(frag); - } - nd.appendChild(createElementXHTML("p")); - nd.appendChild(document.createTextNode("For instructions see the ")); - var an = createElementXHTML("a"); - an.appendChild(document.createTextNode("ASCIIMathML")); - an.setAttribute("href","http://www.chapman.edu/~jipsen/asciimath.html"); - nd.appendChild(an); - nd.appendChild(document.createTextNode(" homepage")); - an = createElementXHTML("div"); - an.id = 'AMMLcloseDiv'; - an.appendChild(document.createTextNode('(click anywhere to close this warning)')); - nd.appendChild(an); - var body = document.getElementsByTagName("body")[0]; - body.insertBefore(nd,body.childNodes[0]); -} - -function translate(spanclassAM) { - if (!translated) { // run this only once - translated = true; - var body = document.getElementsByTagName("body")[0]; - var processN = document.getElementById(AMdocumentId); - if (translateLaTeX) LMprocessNode((processN!=null?processN:body)); - if (translateASCIIMath) AMprocessNode((processN!=null?processN:body), false, spanclassAM); - } -} - -function createElementXHTML(t) { - if (isIE) return document.createElement(t); - else return document.createElementNS("http://www.w3.org/1999/xhtml",t); -} - -function createMmlNode(t,frag) { - if (isIE) var node = document.createElement("m:"+t); - else var node = document.createElementNS("http://www.w3.org/1998/Math/MathML",t); - if (frag) node.appendChild(frag); - return node; -} - -// character lists for Mozilla/Netscape fonts -var AMcal = [0xEF35,0x212C,0xEF36,0xEF37,0x2130,0x2131,0xEF38,0x210B,0x2110,0xEF39,0xEF3A,0x2112,0x2133,0xEF3B,0xEF3C,0xEF3D,0xEF3E,0x211B,0xEF3F,0xEF40,0xEF41,0xEF42,0xEF43,0xEF44,0xEF45,0xEF46]; -var AMfrk = [0xEF5D,0xEF5E,0x212D,0xEF5F,0xEF60,0xEF61,0xEF62,0x210C,0x2111,0xEF63,0xEF64,0xEF65,0xEF66,0xEF67,0xEF68,0xEF69,0xEF6A,0x211C,0xEF6B,0xEF6C,0xEF6D,0xEF6E,0xEF6F,0xEF70,0xEF71,0x2128]; -var AMbbb = [0xEF8C,0xEF8D,0x2102,0xEF8E,0xEF8F,0xEF90,0xEF91,0x210D,0xEF92,0xEF93,0xEF94,0xEF95,0xEF96,0x2115,0xEF97,0x2119,0x211A,0x211D,0xEF98,0xEF99,0xEF9A,0xEF9B,0xEF9C,0xEF9D,0xEF9E,0x2124]; - -var CONST = 0, UNARY = 1, BINARY = 2, INFIX = 3, LEFTBRACKET = 4, - RIGHTBRACKET = 5, SPACE = 6, UNDEROVER = 7, DEFINITION = 8, - LEFTRIGHT = 9, TEXT = 10, BIG = 11, LONG = 12, STRETCHY = 13, - MATRIX = 14;; // token types - -var AMquote = {input:"\"", tag:"mtext", output:"mbox", tex:null, ttype:TEXT}; - -var AMsymbols = [ -//some greek symbols -{input:"alpha", tag:"mi", output:"\u03B1", tex:null, ttype:CONST}, -{input:"beta", tag:"mi", output:"\u03B2", tex:null, ttype:CONST}, -{input:"chi", tag:"mi", output:"\u03C7", tex:null, ttype:CONST}, -{input:"delta", tag:"mi", output:"\u03B4", tex:null, ttype:CONST}, -{input:"Delta", tag:"mo", output:"\u0394", tex:null, ttype:CONST}, -{input:"epsi", tag:"mi", output:"\u03B5", tex:"epsilon", ttype:CONST}, -{input:"varepsilon", tag:"mi", output:"\u025B", tex:null, ttype:CONST}, -{input:"eta", tag:"mi", output:"\u03B7", tex:null, ttype:CONST}, -{input:"gamma", tag:"mi", output:"\u03B3", tex:null, ttype:CONST}, -{input:"Gamma", tag:"mo", output:"\u0393", tex:null, ttype:CONST}, -{input:"iota", tag:"mi", output:"\u03B9", tex:null, ttype:CONST}, -{input:"kappa", tag:"mi", output:"\u03BA", tex:null, ttype:CONST}, -{input:"lambda", tag:"mi", output:"\u03BB", tex:null, ttype:CONST}, -{input:"Lambda", tag:"mo", output:"\u039B", tex:null, ttype:CONST}, -{input:"mu", tag:"mi", output:"\u03BC", tex:null, ttype:CONST}, -{input:"nu", tag:"mi", output:"\u03BD", tex:null, ttype:CONST}, -{input:"omega", tag:"mi", output:"\u03C9", tex:null, ttype:CONST}, -{input:"Omega", tag:"mo", output:"\u03A9", tex:null, ttype:CONST}, -{input:"phi", tag:"mi", output:"\u03C6", tex:null, ttype:CONST}, -{input:"varphi", tag:"mi", output:"\u03D5", tex:null, ttype:CONST}, -{input:"Phi", tag:"mo", output:"\u03A6", tex:null, ttype:CONST}, -{input:"pi", tag:"mi", output:"\u03C0", tex:null, ttype:CONST}, -{input:"Pi", tag:"mo", output:"\u03A0", tex:null, ttype:CONST}, -{input:"psi", tag:"mi", output:"\u03C8", tex:null, ttype:CONST}, -{input:"Psi", tag:"mi", output:"\u03A8", tex:null, ttype:CONST}, -{input:"rho", tag:"mi", output:"\u03C1", tex:null, ttype:CONST}, -{input:"sigma", tag:"mi", output:"\u03C3", tex:null, ttype:CONST}, -{input:"Sigma", tag:"mo", output:"\u03A3", tex:null, ttype:CONST}, -{input:"tau", tag:"mi", output:"\u03C4", tex:null, ttype:CONST}, -{input:"theta", tag:"mi", output:"\u03B8", tex:null, ttype:CONST}, -{input:"vartheta", tag:"mi", output:"\u03D1", tex:null, ttype:CONST}, -{input:"Theta", tag:"mo", output:"\u0398", tex:null, ttype:CONST}, -{input:"upsilon", tag:"mi", output:"\u03C5", tex:null, ttype:CONST}, -{input:"xi", tag:"mi", output:"\u03BE", tex:null, ttype:CONST}, -{input:"Xi", tag:"mo", output:"\u039E", tex:null, ttype:CONST}, -{input:"zeta", tag:"mi", output:"\u03B6", tex:null, ttype:CONST}, - -//binary operation symbols -//{input:"-", tag:"mo", output:"\u0096", tex:null, ttype:CONST}, -{input:"*", tag:"mo", output:"\u22C5", tex:"cdot", ttype:CONST}, -{input:"**", tag:"mo", output:"\u22C6", tex:"star", ttype:CONST}, -{input:"//", tag:"mo", output:"/", tex:null, ttype:CONST}, -{input:"\\\\", tag:"mo", output:"\\", tex:"backslash", ttype:CONST}, -{input:"setminus", tag:"mo", output:"\\", tex:null, ttype:CONST}, -{input:"xx", tag:"mo", output:"\u00D7", tex:"times", ttype:CONST}, -{input:"-:", tag:"mo", output:"\u00F7", tex:"divide", ttype:CONST}, -{input:"@", tag:"mo", output:"\u2218", tex:"circ", ttype:CONST}, -{input:"o+", tag:"mo", output:"\u2295", tex:"oplus", ttype:CONST}, -{input:"ox", tag:"mo", output:"\u2297", tex:"otimes", ttype:CONST}, -{input:"o.", tag:"mo", output:"\u2299", tex:"odot", ttype:CONST}, -{input:"sum", tag:"mo", output:"\u2211", tex:null, ttype:UNDEROVER}, -{input:"prod", tag:"mo", output:"\u220F", tex:null, ttype:UNDEROVER}, -{input:"^^", tag:"mo", output:"\u2227", tex:"wedge", ttype:CONST}, -{input:"^^^", tag:"mo", output:"\u22C0", tex:"bigwedge", ttype:UNDEROVER}, -{input:"vv", tag:"mo", output:"\u2228", tex:"vee", ttype:CONST}, -{input:"vvv", tag:"mo", output:"\u22C1", tex:"bigvee", ttype:UNDEROVER}, -{input:"nn", tag:"mo", output:"\u2229", tex:"cap", ttype:CONST}, -{input:"nnn", tag:"mo", output:"\u22C2", tex:"bigcap", ttype:UNDEROVER}, -{input:"uu", tag:"mo", output:"\u222A", tex:"cup", ttype:CONST}, -{input:"uuu", tag:"mo", output:"\u22C3", tex:"bigcup", ttype:UNDEROVER}, - -//binary relation symbols -{input:"!=", tag:"mo", output:"\u2260", tex:"ne", ttype:CONST}, -{input:":=", tag:"mo", output:":=", tex:null, ttype:CONST}, -{input:"lt", tag:"mo", output:"<", tex:null, ttype:CONST}, -{input:"<=", tag:"mo", output:"\u2264", tex:"le", ttype:CONST}, -{input:"lt=", tag:"mo", output:"\u2264", tex:"leq", ttype:CONST}, -{input:">=", tag:"mo", output:"\u2265", tex:"ge", ttype:CONST}, -{input:"geq", tag:"mo", output:"\u2265", tex:null, ttype:CONST}, -{input:"-<", tag:"mo", output:"\u227A", tex:"prec", ttype:CONST}, -{input:"-lt", tag:"mo", output:"\u227A", tex:null, ttype:CONST}, -{input:">-", tag:"mo", output:"\u227B", tex:"succ", ttype:CONST}, -{input:"-<=", tag:"mo", output:"\u2AAF", tex:"preceq", ttype:CONST}, -{input:">-=", tag:"mo", output:"\u2AB0", tex:"succeq", ttype:CONST}, -{input:"in", tag:"mo", output:"\u2208", tex:null, ttype:CONST}, -{input:"!in", tag:"mo", output:"\u2209", tex:"notin", ttype:CONST}, -{input:"sub", tag:"mo", output:"\u2282", tex:"subset", ttype:CONST}, -{input:"sup", tag:"mo", output:"\u2283", tex:"supset", ttype:CONST}, -{input:"sube", tag:"mo", output:"\u2286", tex:"subseteq", ttype:CONST}, -{input:"supe", tag:"mo", output:"\u2287", tex:"supseteq", ttype:CONST}, -{input:"-=", tag:"mo", output:"\u2261", tex:"equiv", ttype:CONST}, -{input:"~=", tag:"mo", output:"\u2245", tex:"cong", ttype:CONST}, -{input:"~~", tag:"mo", output:"\u2248", tex:"approx", ttype:CONST}, -{input:"prop", tag:"mo", output:"\u221D", tex:"propto", ttype:CONST}, - -//logical symbols -{input:"and", tag:"mtext", output:"and", tex:null, ttype:SPACE}, -{input:"or", tag:"mtext", output:"or", tex:null, ttype:SPACE}, -{input:"not", tag:"mo", output:"\u00AC", tex:"neg", ttype:CONST}, -{input:"=>", tag:"mo", output:"\u21D2", tex:"implies", ttype:CONST}, -{input:"if", tag:"mo", output:"if", tex:null, ttype:SPACE}, -{input:"<=>", tag:"mo", output:"\u21D4", tex:"iff", ttype:CONST}, -{input:"AA", tag:"mo", output:"\u2200", tex:"forall", ttype:CONST}, -{input:"EE", tag:"mo", output:"\u2203", tex:"exists", ttype:CONST}, -{input:"_|_", tag:"mo", output:"\u22A5", tex:"bot", ttype:CONST}, -{input:"TT", tag:"mo", output:"\u22A4", tex:"top", ttype:CONST}, -{input:"|--", tag:"mo", output:"\u22A2", tex:"vdash", ttype:CONST}, -{input:"|==", tag:"mo", output:"\u22A8", tex:"models", ttype:CONST}, - -//grouping brackets -{input:"(", tag:"mo", output:"(", tex:null, ttype:LEFTBRACKET}, -{input:")", tag:"mo", output:")", tex:null, ttype:RIGHTBRACKET}, -{input:"[", tag:"mo", output:"[", tex:null, ttype:LEFTBRACKET}, -{input:"]", tag:"mo", output:"]", tex:null, ttype:RIGHTBRACKET}, -{input:"{", tag:"mo", output:"{", tex:null, ttype:LEFTBRACKET}, -{input:"}", tag:"mo", output:"}", tex:null, ttype:RIGHTBRACKET}, -{input:"|", tag:"mo", output:"|", tex:null, ttype:LEFTRIGHT}, -//{input:"||", tag:"mo", output:"||", tex:null, ttype:LEFTRIGHT}, -{input:"(:", tag:"mo", output:"\u2329", tex:"langle", ttype:LEFTBRACKET}, -{input:":)", tag:"mo", output:"\u232A", tex:"rangle", ttype:RIGHTBRACKET}, -{input:"<<", tag:"mo", output:"\u2329", tex:null, ttype:LEFTBRACKET}, -{input:">>", tag:"mo", output:"\u232A", tex:null, ttype:RIGHTBRACKET}, -{input:"{:", tag:"mo", output:"{:", tex:null, ttype:LEFTBRACKET, invisible:true}, -{input:":}", tag:"mo", output:":}", tex:null, ttype:RIGHTBRACKET, invisible:true}, - -//miscellaneous symbols -{input:"int", tag:"mo", output:"\u222B", tex:null, ttype:CONST}, -{input:"dx", tag:"mi", output:"{:d x:}", tex:null, ttype:DEFINITION}, -{input:"dy", tag:"mi", output:"{:d y:}", tex:null, ttype:DEFINITION}, -{input:"dz", tag:"mi", output:"{:d z:}", tex:null, ttype:DEFINITION}, -{input:"dt", tag:"mi", output:"{:d t:}", tex:null, ttype:DEFINITION}, -{input:"oint", tag:"mo", output:"\u222E", tex:null, ttype:CONST}, -{input:"del", tag:"mo", output:"\u2202", tex:"partial", ttype:CONST}, -{input:"grad", tag:"mo", output:"\u2207", tex:"nabla", ttype:CONST}, -{input:"+-", tag:"mo", output:"\u00B1", tex:"pm", ttype:CONST}, -{input:"O/", tag:"mo", output:"\u2205", tex:"emptyset", ttype:CONST}, -{input:"oo", tag:"mo", output:"\u221E", tex:"infty", ttype:CONST}, -{input:"aleph", tag:"mo", output:"\u2135", tex:null, ttype:CONST}, -{input:"...", tag:"mo", output:"...", tex:"ldots", ttype:CONST}, -{input:":.", tag:"mo", output:"\u2234", tex:"therefore", ttype:CONST}, -{input:"/_", tag:"mo", output:"\u2220", tex:"angle", ttype:CONST}, -{input:"\\ ", tag:"mo", output:"\u00A0", tex:null, ttype:CONST}, -{input:"quad", tag:"mo", output:"\u00A0\u00A0", tex:null, ttype:CONST}, -{input:"qquad", tag:"mo", output:"\u00A0\u00A0\u00A0\u00A0", tex:null, ttype:CONST}, -{input:"cdots", tag:"mo", output:"\u22EF", tex:null, ttype:CONST}, -{input:"vdots", tag:"mo", output:"\u22EE", tex:null, ttype:CONST}, -{input:"ddots", tag:"mo", output:"\u22F1", tex:null, ttype:CONST}, -{input:"diamond", tag:"mo", output:"\u22C4", tex:null, ttype:CONST}, -{input:"square", tag:"mo", output:"\u25A1", tex:null, ttype:CONST}, -{input:"|__", tag:"mo", output:"\u230A", tex:"lfloor", ttype:CONST}, -{input:"__|", tag:"mo", output:"\u230B", tex:"rfloor", ttype:CONST}, -{input:"|~", tag:"mo", output:"\u2308", tex:"lceiling", ttype:CONST}, -{input:"~|", tag:"mo", output:"\u2309", tex:"rceiling", ttype:CONST}, -{input:"CC", tag:"mo", output:"\u2102", tex:null, ttype:CONST}, -{input:"NN", tag:"mo", output:"\u2115", tex:null, ttype:CONST}, -{input:"QQ", tag:"mo", output:"\u211A", tex:null, ttype:CONST}, -{input:"RR", tag:"mo", output:"\u211D", tex:null, ttype:CONST}, -{input:"ZZ", tag:"mo", output:"\u2124", tex:null, ttype:CONST}, -{input:"f", tag:"mi", output:"f", tex:null, ttype:UNARY, func:true}, -{input:"g", tag:"mi", output:"g", tex:null, ttype:UNARY, func:true}, - -//standard functions -{input:"lim", tag:"mo", output:"lim", tex:null, ttype:UNDEROVER}, -{input:"Lim", tag:"mo", output:"Lim", tex:null, ttype:UNDEROVER}, -{input:"sin", tag:"mo", output:"sin", tex:null, ttype:UNARY, func:true}, -{input:"cos", tag:"mo", output:"cos", tex:null, ttype:UNARY, func:true}, -{input:"tan", tag:"mo", output:"tan", tex:null, ttype:UNARY, func:true}, -{input:"sinh", tag:"mo", output:"sinh", tex:null, ttype:UNARY, func:true}, -{input:"cosh", tag:"mo", output:"cosh", tex:null, ttype:UNARY, func:true}, -{input:"tanh", tag:"mo", output:"tanh", tex:null, ttype:UNARY, func:true}, -{input:"cot", tag:"mo", output:"cot", tex:null, ttype:UNARY, func:true}, -{input:"sec", tag:"mo", output:"sec", tex:null, ttype:UNARY, func:true}, -{input:"csc", tag:"mo", output:"csc", tex:null, ttype:UNARY, func:true}, -{input:"log", tag:"mo", output:"log", tex:null, ttype:UNARY, func:true}, -{input:"ln", tag:"mo", output:"ln", tex:null, ttype:UNARY, func:true}, -{input:"det", tag:"mo", output:"det", tex:null, ttype:UNARY, func:true}, -{input:"dim", tag:"mo", output:"dim", tex:null, ttype:CONST}, -{input:"mod", tag:"mo", output:"mod", tex:null, ttype:CONST}, -{input:"gcd", tag:"mo", output:"gcd", tex:null, ttype:UNARY, func:true}, -{input:"lcm", tag:"mo", output:"lcm", tex:null, ttype:UNARY, func:true}, -{input:"lub", tag:"mo", output:"lub", tex:null, ttype:CONST}, -{input:"glb", tag:"mo", output:"glb", tex:null, ttype:CONST}, -{input:"min", tag:"mo", output:"min", tex:null, ttype:UNDEROVER}, -{input:"max", tag:"mo", output:"max", tex:null, ttype:UNDEROVER}, - -//arrows -{input:"uarr", tag:"mo", output:"\u2191", tex:"uparrow", ttype:CONST}, -{input:"darr", tag:"mo", output:"\u2193", tex:"downarrow", ttype:CONST}, -{input:"rarr", tag:"mo", output:"\u2192", tex:"rightarrow", ttype:CONST}, -{input:"->", tag:"mo", output:"\u2192", tex:"to", ttype:CONST}, -{input:">->", tag:"mo", output:"\u21A3", tex:"rightarrowtail", ttype:CONST}, -{input:"->>", tag:"mo", output:"\u21A0", tex:"twoheadrightarrow", ttype:CONST}, -{input:">->>", tag:"mo", output:"\u2916", tex:"twoheadrightarrowtail", ttype:CONST}, -{input:"|->", tag:"mo", output:"\u21A6", tex:"mapsto", ttype:CONST}, -{input:"larr", tag:"mo", output:"\u2190", tex:"leftarrow", ttype:CONST}, -{input:"harr", tag:"mo", output:"\u2194", tex:"leftrightarrow", ttype:CONST}, -{input:"rArr", tag:"mo", output:"\u21D2", tex:"Rightarrow", ttype:CONST}, -{input:"lArr", tag:"mo", output:"\u21D0", tex:"Leftarrow", ttype:CONST}, -{input:"hArr", tag:"mo", output:"\u21D4", tex:"Leftrightarrow", ttype:CONST}, -//commands with argument -{input:"sqrt", tag:"msqrt", output:"sqrt", tex:null, ttype:UNARY}, -{input:"root", tag:"mroot", output:"root", tex:null, ttype:BINARY}, -{input:"frac", tag:"mfrac", output:"/", tex:null, ttype:BINARY}, -{input:"/", tag:"mfrac", output:"/", tex:null, ttype:INFIX}, -{input:"stackrel", tag:"mover", output:"stackrel", tex:null, ttype:BINARY}, -{input:"_", tag:"msub", output:"_", tex:null, ttype:INFIX}, -{input:"^", tag:"msup", output:"^", tex:null, ttype:INFIX}, -{input:"hat", tag:"mover", output:"\u005E", tex:null, ttype:UNARY, acc:true}, -{input:"bar", tag:"mover", output:"\u00AF", tex:"overline", ttype:UNARY, acc:true}, -{input:"vec", tag:"mover", output:"\u2192", tex:null, ttype:UNARY, acc:true}, -{input:"dot", tag:"mover", output:".", tex:null, ttype:UNARY, acc:true}, -{input:"ddot", tag:"mover", output:"..", tex:null, ttype:UNARY, acc:true}, -{input:"ul", tag:"munder", output:"\u0332", tex:"underline", ttype:UNARY, acc:true}, -{input:"text", tag:"mtext", output:"text", tex:null, ttype:TEXT}, -{input:"mbox", tag:"mtext", output:"mbox", tex:null, ttype:TEXT}, -AMquote, -{input:"bb", tag:"mstyle", atname:"fontweight", atval:"bold", output:"bb", tex:null, ttype:UNARY}, -{input:"mathbf", tag:"mstyle", atname:"fontweight", atval:"bold", output:"mathbf", tex:null, ttype:UNARY}, -{input:"sf", tag:"mstyle", atname:"fontfamily", atval:"sans-serif", output:"sf", tex:null, ttype:UNARY}, -{input:"mathsf", tag:"mstyle", atname:"fontfamily", atval:"sans-serif", output:"mathsf", tex:null, ttype:UNARY}, -{input:"bbb", tag:"mstyle", atname:"mathvariant", atval:"double-struck", output:"bbb", tex:null, ttype:UNARY, codes:AMbbb}, -{input:"mathbb", tag:"mstyle", atname:"mathvariant", atval:"double-struck", output:"mathbb", tex:null, ttype:UNARY, codes:AMbbb}, -{input:"cc", tag:"mstyle", atname:"mathvariant", atval:"script", output:"cc", tex:null, ttype:UNARY, codes:AMcal}, -{input:"mathcal", tag:"mstyle", atname:"mathvariant", atval:"script", output:"mathcal", tex:null, ttype:UNARY, codes:AMcal}, -{input:"tt", tag:"mstyle", atname:"fontfamily", atval:"monospace", output:"tt", tex:null, ttype:UNARY}, -{input:"mathtt", tag:"mstyle", atname:"fontfamily", atval:"monospace", output:"mathtt", tex:null, ttype:UNARY}, -{input:"fr", tag:"mstyle", atname:"mathvariant", atval:"fraktur", output:"fr", tex:null, ttype:UNARY, codes:AMfrk}, -{input:"mathfrak", tag:"mstyle", atname:"mathvariant", atval:"fraktur", output:"mathfrak", tex:null, ttype:UNARY, codes:AMfrk} -]; - -function compareNames(s1,s2) { - if (s1.input > s2.input) return 1 - else return -1; -} - -var AMnames = []; //list of input symbols - -function initSymbols() { - var texsymbols = [], i; - for (i=0; i<AMsymbols.length; i++) - if (AMsymbols[i].tex) - texsymbols[texsymbols.length] = {input:AMsymbols[i].tex, - tag:AMsymbols[i].tag, output:AMsymbols[i].output, ttype:AMsymbols[i].ttype}; - AMsymbols = AMsymbols.concat(texsymbols); - refreshSymbols(); -} - -function refreshSymbols(){ - var i; - AMsymbols.sort(compareNames); - for (i=0; i<AMsymbols.length; i++) AMnames[i] = AMsymbols[i].input; - LMsymbols.sort(compareNames); - for (i=0; i<LMsymbols.length; i++) LMnames[i] = LMsymbols[i].input; -} - -function define(oldstr,newstr) { - if(oldstr.substr(0,1)=="\\") - LMsymbols = LMsymbols.concat([{input:oldstr, tag:"mo", output:newstr, - ttype:DEFINITION}]); - else - AMsymbols = AMsymbols.concat([{input:oldstr, tag:"mo", output:newstr, - tex:null, ttype:DEFINITION}]); - refreshSymbols(); // this may be a problem if many symbols are defined! -} - -function AMremoveCharsAndBlanks(str,n) { -//remove n characters and any following blanks - var st; - if (str.charAt(n)=="\\" && str.charAt(n+1)!="\\" && str.charAt(n+1)!=" ") - st = str.slice(n+1); - else st = str.slice(n); - for (var i=0; i<st.length && st.charCodeAt(i)<=32; i=i+1); - return st.slice(i); -} - -function position(arr, str, n) { -// return position >=n where str appears or would be inserted -// assumes arr is sorted - if (n==0) { - var h,m; - n = -1; - h = arr.length; - while (n+1<h) { - m = (n+h) >> 1; - if (arr[m]<str) n = m; else h = m; - } - return h; - } else - for (var i=n; i<arr.length && arr[i]<str; i++); - return i; // i=arr.length || arr[i]>=str -} - -function AMgetSymbol(str) { -//return maximal initial substring of str that appears in names -//return null if there is none - var k = 0; //new pos - var j = 0; //old pos - var mk; //match pos - var st; - var tagst; - var match = ""; - var more = true; - for (var i=1; i<=str.length && more; i++) { - st = str.slice(0,i); //initial substring of length i - j = k; - k = position(AMnames, st, j); - if (k<AMnames.length && str.slice(0,AMnames[k].length)==AMnames[k]){ - match = AMnames[k]; - mk = k; - i = match.length; - } - more = k<AMnames.length && str.slice(0,AMnames[k].length)>=AMnames[k]; - } - AMpreviousSymbol=AMcurrentSymbol; - if (match!=""){ - AMcurrentSymbol=AMsymbols[mk].ttype; - return AMsymbols[mk]; - } -// if str[0] is a digit or - return maxsubstring of digits.digits - AMcurrentSymbol=CONST; - k = 1; - st = str.slice(0,1); - var integ = true; - while ("0"<=st && st<="9" && k<=str.length) { - st = str.slice(k,k+1); - k++; - } - if (st == decimalsign) { - st = str.slice(k,k+1); - if ("0"<=st && st<="9") { - integ = false; - k++; - while ("0"<=st && st<="9" && k<=str.length) { - st = str.slice(k,k+1); - k++; - } - } - } - if ((integ && k>1) || k>2) { - st = str.slice(0,k-1); - tagst = "mn"; - } else { - k = 2; - st = str.slice(0,1); //take 1 character - tagst = (("A">st || st>"Z") && ("a">st || st>"z")?"mo":"mi"); - } - if (st=="-" && AMpreviousSymbol==INFIX) { - AMcurrentSymbol = INFIX; //trick "/" into recognizing "-" on second parse - return {input:st, tag:tagst, output:st, ttype:UNARY, func:true}; - } - return {input:st, tag:tagst, output:st, ttype:CONST}; -} - -function AMremoveBrackets(node) { - var st; - if (node.nodeName=="mrow") { - st = node.firstChild.firstChild.nodeValue; - if (st=="(" || st=="[" || st=="{") node.removeChild(node.firstChild); - } - if (node.nodeName=="mrow") { - st = node.lastChild.firstChild.nodeValue; - if (st==")" || st=="]" || st=="}") node.removeChild(node.lastChild); - } -} - -/*Parsing ASCII math expressions with the following grammar -v ::= [A-Za-z] | greek letters | numbers | other constant symbols -u ::= sqrt | text | bb | other unary symbols for font commands -b ::= frac | root | stackrel binary symbols -l ::= ( | [ | { | (: | {: left brackets -r ::= ) | ] | } | :) | :} right brackets -S ::= v | lEr | uS | bSS Simple expression -I ::= S_S | S^S | S_S^S | S Intermediate expression -E ::= IE | I/I Expression -Each terminal symbol is translated into a corresponding mathml node.*/ - -var AMnestingDepth,AMpreviousSymbol,AMcurrentSymbol; - -function AMparseSexpr(str) { //parses str and returns [node,tailstr] - var symbol, node, result, i, st,// rightvert = false, - newFrag = document.createDocumentFragment(); - str = AMremoveCharsAndBlanks(str,0); - symbol = AMgetSymbol(str); //either a token or a bracket or empty - if (symbol == null || symbol.ttype == RIGHTBRACKET && AMnestingDepth > 0) { - return [null,str]; - } - if (symbol.ttype == DEFINITION) { - str = symbol.output+AMremoveCharsAndBlanks(str,symbol.input.length); - symbol = AMgetSymbol(str); - } - switch (symbol.ttype) { case UNDEROVER: - case CONST: - str = AMremoveCharsAndBlanks(str,symbol.input.length); - return [createMmlNode(symbol.tag, //its a constant - document.createTextNode(symbol.output)),str]; - case LEFTBRACKET: //read (expr+) - AMnestingDepth++; - str = AMremoveCharsAndBlanks(str,symbol.input.length); - result = AMparseExpr(str,true); - AMnestingDepth--; - if (typeof symbol.invisible == "boolean" && symbol.invisible) - node = createMmlNode("mrow",result[0]); - else { - node = createMmlNode("mo",document.createTextNode(symbol.output)); - node = createMmlNode("mrow",node); - node.appendChild(result[0]); - } - return [node,result[1]]; - case TEXT: - if (symbol!=AMquote) str = AMremoveCharsAndBlanks(str,symbol.input.length); - if (str.charAt(0)=="{") i=str.indexOf("}"); - else if (str.charAt(0)=="(") i=str.indexOf(")"); - else if (str.charAt(0)=="[") i=str.indexOf("]"); - else if (symbol==AMquote) i=str.slice(1).indexOf("\"")+1; - else i = 0; - if (i==-1) i = str.length; - st = str.slice(1,i); - if (st.charAt(0) == " ") { - node = createMmlNode("mspace"); - node.setAttribute("width","1ex"); - newFrag.appendChild(node); - } - newFrag.appendChild( - createMmlNode(symbol.tag,document.createTextNode(st))); - if (st.charAt(st.length-1) == " ") { - node = createMmlNode("mspace"); - node.setAttribute("width","1ex"); - newFrag.appendChild(node); - } - str = AMremoveCharsAndBlanks(str,i+1); - return [createMmlNode("mrow",newFrag),str]; - case UNARY: - str = AMremoveCharsAndBlanks(str,symbol.input.length); - result = AMparseSexpr(str); - if (result[0]==null) return [createMmlNode(symbol.tag, - document.createTextNode(symbol.output)),str]; - if (typeof symbol.func == "boolean" && symbol.func) { // functions hack - st = str.charAt(0); - if (st=="^" || st=="_" || st=="/" || st=="|" || st==",") { - return [createMmlNode(symbol.tag, - document.createTextNode(symbol.output)),str]; - } else { - node = createMmlNode("mrow", - createMmlNode(symbol.tag,document.createTextNode(symbol.output))); - node.appendChild(result[0]); - return [node,result[1]]; - } - } - AMremoveBrackets(result[0]); - if (symbol.input == "sqrt") { // sqrt - return [createMmlNode(symbol.tag,result[0]),result[1]]; - } else if (typeof symbol.acc == "boolean" && symbol.acc) { // accent - node = createMmlNode(symbol.tag,result[0]); - node.appendChild(createMmlNode("mo",document.createTextNode(symbol.output))); - return [node,result[1]]; - } else { // font change command - if (!isIE && typeof symbol.codes != "undefined") { - for (i=0; i<result[0].childNodes.length; i++) - if (result[0].childNodes[i].nodeName=="mi" || result[0].nodeName=="mi") { - st = (result[0].nodeName=="mi"?result[0].firstChild.nodeValue: - result[0].childNodes[i].firstChild.nodeValue); - var newst = []; - for (var j=0; j<st.length; j++) - if (st.charCodeAt(j)>64 && st.charCodeAt(j)<91) newst = newst + - String.fromCharCode(symbol.codes[st.charCodeAt(j)-65]); - else newst = newst + st.charAt(j); - if (result[0].nodeName=="mi") - result[0]=createMmlNode("mo"). - appendChild(document.createTextNode(newst)); - else result[0].replaceChild(createMmlNode("mo"). - appendChild(document.createTextNode(newst)), - result[0].childNodes[i]); - } - } - node = createMmlNode(symbol.tag,result[0]); - node.setAttribute(symbol.atname,symbol.atval); - return [node,result[1]]; - } - case BINARY: - str = AMremoveCharsAndBlanks(str,symbol.input.length); - result = AMparseSexpr(str); - if (result[0]==null) return [createMmlNode("mo", - document.createTextNode(symbol.input)),str]; - AMremoveBrackets(result[0]); - var result2 = AMparseSexpr(result[1]); - if (result2[0]==null) return [createMmlNode("mo", - document.createTextNode(symbol.input)),str]; - AMremoveBrackets(result2[0]); - if (symbol.input=="root" || symbol.input=="stackrel") - newFrag.appendChild(result2[0]); - newFrag.appendChild(result[0]); - if (symbol.input=="frac") newFrag.appendChild(result2[0]); - return [createMmlNode(symbol.tag,newFrag),result2[1]]; - case INFIX: - str = AMremoveCharsAndBlanks(str,symbol.input.length); - return [createMmlNode("mo",document.createTextNode(symbol.output)),str]; - case SPACE: - str = AMremoveCharsAndBlanks(str,symbol.input.length); - node = createMmlNode("mspace"); - node.setAttribute("width","1ex"); - newFrag.appendChild(node); - newFrag.appendChild( - createMmlNode(symbol.tag,document.createTextNode(symbol.output))); - node = createMmlNode("mspace"); - node.setAttribute("width","1ex"); - newFrag.appendChild(node); - return [createMmlNode("mrow",newFrag),str]; - case LEFTRIGHT: -// if (rightvert) return [null,str]; else rightvert = true; - AMnestingDepth++; - str = AMremoveCharsAndBlanks(str,symbol.input.length); - result = AMparseExpr(str,false); - AMnestingDepth--; - var st = ""; - if (result[0].lastChild!=null) - st = result[0].lastChild.firstChild.nodeValue; - if (st == "|") { // its an absolute value subterm - node = createMmlNode("mo",document.createTextNode(symbol.output)); - node = createMmlNode("mrow",node); - node.appendChild(result[0]); - return [node,result[1]]; - } else { // the "|" is a \mid so use unicode 2223 (divides) for spacing - node = createMmlNode("mo",document.createTextNode("\u2223")); - node = createMmlNode("mrow",node); - return [node,str]; - } - default: -//alert("default"); - str = AMremoveCharsAndBlanks(str,symbol.input.length); - return [createMmlNode(symbol.tag, //its a constant - document.createTextNode(symbol.output)),str]; - } -} - -function AMparseIexpr(str) { - var symbol, sym1, sym2, node, result, underover; - str = AMremoveCharsAndBlanks(str,0); - sym1 = AMgetSymbol(str); - result = AMparseSexpr(str); - node = result[0]; - str = result[1]; - symbol = AMgetSymbol(str); - if (symbol.ttype == INFIX && symbol.input != "/") { - str = AMremoveCharsAndBlanks(str,symbol.input.length); -// if (symbol.input == "/") result = AMparseIexpr(str); else ... - result = AMparseSexpr(str); - if (result[0] == null) // show box in place of missing argument - result[0] = createMmlNode("mo",document.createTextNode("\u25A1")); - else AMremoveBrackets(result[0]); - str = result[1]; -// if (symbol.input == "/") AMremoveBrackets(node); - if (symbol.input == "_") { - sym2 = AMgetSymbol(str); - underover = (sym1.ttype == UNDEROVER); - if (sym2.input == "^") { - str = AMremoveCharsAndBlanks(str,sym2.input.length); - var res2 = AMparseSexpr(str); - AMremoveBrackets(res2[0]); - str = res2[1]; - node = createMmlNode((underover?"munderover":"msubsup"),node); - node.appendChild(result[0]); - node.appendChild(res2[0]); - node = createMmlNode("mrow",node); // so sum does not stretch - } else { - node = createMmlNode((underover?"munder":"msub"),node); - node.appendChild(result[0]); - } - } else { - node = createMmlNode(symbol.tag,node); - node.appendChild(result[0]); - } - } - return [node,str]; -} - -function AMparseExpr(str,rightbracket) { - var symbol, node, result, i, nodeList = [], - newFrag = document.createDocumentFragment(); - do { - str = AMremoveCharsAndBlanks(str,0); - result = AMparseIexpr(str); - node = result[0]; - str = result[1]; - symbol = AMgetSymbol(str); - if (symbol.ttype == INFIX && symbol.input == "/") { - str = AMremoveCharsAndBlanks(str,symbol.input.length); - result = AMparseIexpr(str); - if (result[0] == null) // show box in place of missing argument - result[0] = createMmlNode("mo",document.createTextNode("\u25A1")); - else AMremoveBrackets(result[0]); - str = result[1]; - AMremoveBrackets(node); - node = createMmlNode(symbol.tag,node); - node.appendChild(result[0]); - newFrag.appendChild(node); - symbol = AMgetSymbol(str); - } - else if (node!=undefined) newFrag.appendChild(node); - } while ((symbol.ttype != RIGHTBRACKET && - (symbol.ttype != LEFTRIGHT || rightbracket) - || AMnestingDepth == 0) && symbol!=null && symbol.output!=""); - if (symbol.ttype == RIGHTBRACKET || symbol.ttype == LEFTRIGHT) { -// if (AMnestingDepth > 0) AMnestingDepth--; - var len = newFrag.childNodes.length; - if (len>0 && newFrag.childNodes[len-1].nodeName == "mrow" && len>1 && - newFrag.childNodes[len-2].nodeName == "mo" && - newFrag.childNodes[len-2].firstChild.nodeValue == ",") { //matrix - var right = newFrag.childNodes[len-1].lastChild.firstChild.nodeValue; - if (right==")" || right=="]") { - var left = newFrag.childNodes[len-1].firstChild.firstChild.nodeValue; - if (left=="(" && right==")" && symbol.output != "}" || - left=="[" && right=="]") { - var pos = []; // positions of commas - var matrix = true; - var m = newFrag.childNodes.length; - for (i=0; matrix && i<m; i=i+2) { - pos[i] = []; - node = newFrag.childNodes[i]; - if (matrix) matrix = node.nodeName=="mrow" && - (i==m-1 || node.nextSibling.nodeName=="mo" && - node.nextSibling.firstChild.nodeValue==",")&& - node.firstChild.firstChild.nodeValue==left && - node.lastChild.firstChild.nodeValue==right; - if (matrix) - for (var j=0; j<node.childNodes.length; j++) - if (node.childNodes[j].firstChild.nodeValue==",") - pos[i][pos[i].length]=j; - if (matrix && i>1) matrix = pos[i].length == pos[i-2].length; - } - if (matrix) { - var row, frag, n, k, table = document.createDocumentFragment(); - for (i=0; i<m; i=i+2) { - row = document.createDocumentFragment(); - frag = document.createDocumentFragment(); - node = newFrag.firstChild; // <mrow>(-,-,...,-,-)</mrow> - n = node.childNodes.length; - k = 0; - node.removeChild(node.firstChild); //remove ( - for (j=1; j<n-1; j++) { - if (typeof pos[i][k] != "undefined" && j==pos[i][k]){ - node.removeChild(node.firstChild); //remove , - row.appendChild(createMmlNode("mtd",frag)); - k++; - } else frag.appendChild(node.firstChild); - } - row.appendChild(createMmlNode("mtd",frag)); - if (newFrag.childNodes.length>2) { - newFrag.removeChild(newFrag.firstChild); //remove <mrow>)</mrow> - newFrag.removeChild(newFrag.firstChild); //remove <mo>,</mo> - } - table.appendChild(createMmlNode("mtr",row)); - } - node = createMmlNode("mtable",table); - if (typeof symbol.invisible == "boolean" && symbol.invisible) node.setAttribute("columnalign","left"); - newFrag.replaceChild(node,newFrag.firstChild); - } - } - } - } - str = AMremoveCharsAndBlanks(str,symbol.input.length); - if (typeof symbol.invisible != "boolean" || !symbol.invisible) { - node = createMmlNode("mo",document.createTextNode(symbol.output)); - newFrag.appendChild(node); - } - } - return [newFrag,str]; -} - -function parseMath(str,latex) { - var frag, node; - AMnestingDepth = 0; - frag = latex ? LMparseExpr(str.replace(/^\s+/g,""),false,false)[0] : AMparseExpr(str.replace(/^\s+/g,""),false)[0]; - node = createMmlNode("mstyle",frag); - node.setAttribute("mathcolor",mathcolor); - node.setAttribute("fontfamily",mathfontfamily); - node.setAttribute("mathsize",mathfontsize); - if (displaystyle) node.setAttribute("displaystyle","true"); - node = createMmlNode("math",node); - if (showasciiformulaonhover) //fixed by djhsu so newline - node.setAttribute("title",str.replace(/\s+/g," "));//does not show in Gecko - return node; -} - -function strarr2docFrag(arr, linebreaks, latex) { - var newFrag=document.createDocumentFragment(); - var expr = false; - for (var i=0; i<arr.length; i++) { - if (expr) newFrag.appendChild(parseMath(arr[i],latex)); - else { - var arri = (linebreaks ? arr[i].split("\n\n") : [arr[i]]); - newFrag.appendChild(createElementXHTML("span"). - appendChild(document.createTextNode(arri[0]))); - for (var j=1; j<arri.length; j++) { - newFrag.appendChild(createElementXHTML("p")); - newFrag.appendChild(createElementXHTML("span"). - appendChild(document.createTextNode(arri[j]))); - } - } - expr = !expr; - } - return newFrag; -} - -function AMautomathrec(str) { -//formula is a space (or start of str) followed by a maximal sequence of *two* or more tokens, possibly separated by runs of digits and/or space. -//tokens are single letters (except a, A, I) and ASCIIMathML tokens - var texcommand = "\\\\[a-zA-Z]+|\\\\\\s|"; - var ambigAMtoken = "\\b(?:oo|lim|ln|int|oint|del|grad|aleph|prod|prop|sinh|cosh|tanh|cos|sec|pi|tt|fr|sf|sube|supe|sub|sup|det|mod|gcd|lcm|min|max|vec|ddot|ul|chi|eta|nu|mu)(?![a-z])|"; - var englishAMtoken = "\\b(?:sum|ox|log|sin|tan|dim|hat|bar|dot)(?![a-z])|"; - var secondenglishAMtoken = "|\\bI\\b|\\bin\\b|\\btext\\b"; // took if and or not out - var simpleAMtoken = "NN|ZZ|QQ|RR|CC|TT|AA|EE|sqrt|dx|dy|dz|dt|xx|vv|uu|nn|bb|cc|csc|cot|alpha|beta|delta|Delta|epsilon|gamma|Gamma|kappa|lambda|Lambda|omega|phi|Phi|Pi|psi|Psi|rho|sigma|Sigma|tau|theta|Theta|xi|Xi|zeta"; // uuu nnn? - var letter = "[a-zA-HJ-Z](?=(?:[^a-zA-Z]|$|"+ambigAMtoken+englishAMtoken+simpleAMtoken+"))|"; - var token = letter+texcommand+"\\d+|[-()[\\]{}+=*&^_%\\\@/<>,\\|!:;'~]|\\.(?!(?:\x20|$))|"+ambigAMtoken+englishAMtoken+simpleAMtoken; - var re = new RegExp("(^|\\s)((("+token+")\\s?)(("+token+secondenglishAMtoken+")\\s?)+)([,.?]?(?=\\s|$))","g"); - str = str.replace(re," `$2`$7"); - var arr = str.split(AMdelimiter1); - var re1 = new RegExp("(^|\\s)([b-zB-HJ-Z+*<>]|"+texcommand+ambigAMtoken+simpleAMtoken+")(\\s|\\n|$)","g"); - var re2 = new RegExp("(^|\\s)([a-z]|"+texcommand+ambigAMtoken+simpleAMtoken+")([,.])","g"); // removed |\d+ for now - for (i=0; i<arr.length; i++) //single nonenglish tokens - if (i%2==0) { - arr[i] = arr[i].replace(re1," `$2`$3"); - arr[i] = arr[i].replace(re2," `$2`$3"); - arr[i] = arr[i].replace(/([{}[\]])/,"`$1`"); - } - str = arr.join(AMdelimiter1); - str = str.replace(/((^|\s)\([a-zA-Z]{2,}.*?)\)`/g,"$1`)"); //fix parentheses - str = str.replace(/`(\((a\s|in\s))(.*?[a-zA-Z]{2,}\))/g,"$1`$3"); //fix parentheses - str = str.replace(/\sin`/g,"` in"); - str = str.replace(/`(\(\w\)[,.]?(\s|\n|$))/g,"$1`"); - str = str.replace(/`([0-9.]+|e.g|i.e)`(\.?)/gi,"$1$2"); - str = str.replace(/`([0-9.]+:)`/g,"$1"); - return str; -} - -function processNodeR(n, linebreaks,latex) { - var mtch, str, arr, frg, i; - if (n.childNodes.length == 0) { - if ((n.nodeType!=8 || linebreaks) && - n.parentNode.nodeName!="form" && n.parentNode.nodeName!="FORM" && - n.parentNode.nodeName!="textarea" && n.parentNode.nodeName!="TEXTAREA" /*&& - n.parentNode.nodeName!="pre" && n.parentNode.nodeName!="PRE"*/) { - str = n.nodeValue; - if (!(str == null)) { - str = str.replace(/\r\n\r\n/g,"\n\n"); - str = str.replace(/\x20+/g," "); - str = str.replace(/\s*\r\n/g," "); - if(latex) { -// DELIMITERS: - mtch = (str.indexOf("\$")==-1 ? false : true); - str = str.replace(/([^\\])\$/g,"$1 \$"); - str = str.replace(/^\$/," \$"); // in case \$ at start of string - arr = str.split(" \$"); - for (i=0; i<arr.length; i++) - arr[i]=arr[i].replace(/\\\$/g,"\$"); - } else { - mtch = false; - str = str.replace(new RegExp(AMescape1, "g"), - function(){mtch = true; return "AMescape1"}); - str = str.replace(/\\?end{?a?math}?/i, - function(){automathrecognize = false; mtch = true; return ""}); - str = str.replace(/amath\b|\\begin{a?math}/i, - function(){automathrecognize = true; mtch = true; return ""}); - arr = str.split(AMdelimiter1); - if (automathrecognize) - for (i=0; i<arr.length; i++) - if (i%2==0) arr[i] = AMautomathrec(arr[i]); - str = arr.join(AMdelimiter1); - arr = str.split(AMdelimiter1); - for (i=0; i<arr.length; i++) // this is a problem ************ - arr[i]=arr[i].replace(/AMescape1/g,AMdelimiter1); - } - if (arr.length>1 || mtch) { - if (!noMathML) { - frg = strarr2docFrag(arr,n.nodeType==8,latex); - var len = frg.childNodes.length; - n.parentNode.replaceChild(frg,n); - return len-1; - } else return 0; - } - } - } else return 0; - } else if (n.nodeName!="math") { - for (i=0; i<n.childNodes.length; i++) - i += processNodeR(n.childNodes[i], linebreaks,latex); - } - return 0; -} - -function AMprocessNode(n, linebreaks, spanclassAM) { - var frag,st; - if (spanclassAM!=null) { - frag = document.getElementsByTagName("span") - for (var i=0;i<frag.length;i++) - if (frag[i].className == "AM") - processNodeR(frag[i],linebreaks,false); - } else { - try { - st = n.innerHTML; // look for AMdelimiter on page - } catch(err) {} -//alert(st) - if (st==null || /amath\b|\\begin{a?math}/i.test(st) || - st.indexOf(AMdelimiter1+" ")!=-1 || st.slice(-1)==AMdelimiter1 || - st.indexOf(AMdelimiter1+"<")!=-1 || st.indexOf(AMdelimiter1+"\n")!=-1) { - processNodeR(n,linebreaks,false); - } - } -/* if (isIE) { //needed to match size and font of formula to surrounding text - frag = document.getElementsByTagName('math'); - for (var i=0;i<frag.length;i++) frag[i].update() //What is this? - }*/ -} - -/* -LaTeXMathML.js -============== - -Version 1.1, July 20, 2007 (c) modifications by Peter Jipsen - -(changes: renamed global variables from AM... to LM... so that -LaTeXMathML and ASCIIMathML can be used simultaneously) - -Previous header notice: -This file (Version 1.0), is due to Douglas Woodall, June 2006. -It contains JavaScript functions to convert (most simple) LaTeX -math notation to Presentation MathML. It was obtained by -downloading the file ASCIIMathML.js from - http://www1.chapman.edu/~jipsen/mathml/asciimathdownload/ -and modifying it so that it carries out ONLY those conversions -that would be carried out in LaTeX. A description of the original -file, with examples, can be found at - www1.chapman.edu/~jipsen/mathml/asciimath.html - ASCIIMathML: Math on the web for everyone - -Here is the header notice from the original file: - -ASCIIMathML.js -============== -This file contains JavaScript functions to convert ASCII math notation -to Presentation MathML. The conversion is done while the (X)HTML page -loads, and should work with Firefox/Mozilla/Netscape 7+ and Internet -Explorer 6+MathPlayer (http://www.dessci.com/en/products/mathplayer/). -Just add the next line to your (X)HTML page with this file in the same folder: -<script type="text/javascript" src="ASCIIMathML.js"></script> -This is a convenient and inexpensive solution for authoring MathML. - -Version 1.4.7 Dec 15, 2005, (c) Peter Jipsen http://www.chapman.edu/~jipsen -Latest version at http://www.chapman.edu/~jipsen/mathml/ASCIIMathML.js -For changes see http://www.chapman.edu/~jipsen/mathml/asciimathchanges.txt -If you use it on a webpage, please send the URL to jipsen@chapman.edu - -This program is free software; you can redistribute it and/or modify -it under the terms of the GNU Lesser General Public License as published by -the Free Software Foundation; either version 2.1 of the License, or (at -your option) any later version. - -This program is distributed in the hope that it will be useful, -but WITHOUT ANY WARRANTY; without even the implied warranty of -MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser -General Public License (at http://www.gnu.org/license/lgpl.html) -for more details. - -LaTeXMathML.js (ctd) -============== - -Content between $...$ and $$...$$ is converted by this part of the file -*/ - -// all further global variables start with "LM" - -// Commented out by DRW to prevent 1/2 turning into a 2-line fraction -// LMdiv = {input:"/", tag:"mfrac", output:"/", ttype:INFIX}, -// Commented out by DRW so that " prints literally in equations -// LMquote = {input:"\"", tag:"mtext", output:"mbox", ttype:TEXT}; - -var LMsymbols = [ -//Greek letters -{input:"\\alpha", tag:"mi", output:"\u03B1", ttype:CONST}, -{input:"\\beta", tag:"mi", output:"\u03B2", ttype:CONST}, -{input:"\\gamma", tag:"mi", output:"\u03B3", ttype:CONST}, -{input:"\\delta", tag:"mi", output:"\u03B4", ttype:CONST}, -{input:"\\epsilon", tag:"mi", output:"\u03B5", ttype:CONST}, -{input:"\\varepsilon", tag:"mi", output:"\u025B", ttype:CONST}, -{input:"\\zeta", tag:"mi", output:"\u03B6", ttype:CONST}, -{input:"\\eta", tag:"mi", output:"\u03B7", ttype:CONST}, -{input:"\\theta", tag:"mi", output:"\u03B8", ttype:CONST}, -{input:"\\vartheta", tag:"mi", output:"\u03D1", ttype:CONST}, -{input:"\\iota", tag:"mi", output:"\u03B9", ttype:CONST}, -{input:"\\kappa", tag:"mi", output:"\u03BA", ttype:CONST}, -{input:"\\lambda", tag:"mi", output:"\u03BB", ttype:CONST}, -{input:"\\mu", tag:"mi", output:"\u03BC", ttype:CONST}, -{input:"\\nu", tag:"mi", output:"\u03BD", ttype:CONST}, -{input:"\\xi", tag:"mi", output:"\u03BE", ttype:CONST}, -{input:"\\pi", tag:"mi", output:"\u03C0", ttype:CONST}, -{input:"\\varpi", tag:"mi", output:"\u03D6", ttype:CONST}, -{input:"\\rho", tag:"mi", output:"\u03C1", ttype:CONST}, -{input:"\\varrho", tag:"mi", output:"\u03F1", ttype:CONST}, -{input:"\\varsigma", tag:"mi", output:"\u03C2", ttype:CONST}, -{input:"\\sigma", tag:"mi", output:"\u03C3", ttype:CONST}, -{input:"\\tau", tag:"mi", output:"\u03C4", ttype:CONST}, -{input:"\\upsilon", tag:"mi", output:"\u03C5", ttype:CONST}, -{input:"\\phi", tag:"mi", output:"\u03C6", ttype:CONST}, -{input:"\\varphi", tag:"mi", output:"\u03D5", ttype:CONST}, -{input:"\\chi", tag:"mi", output:"\u03C7", ttype:CONST}, -{input:"\\psi", tag:"mi", output:"\u03C8", ttype:CONST}, -{input:"\\omega", tag:"mi", output:"\u03C9", ttype:CONST}, -{input:"\\Gamma", tag:"mo", output:"\u0393", ttype:CONST}, -{input:"\\Delta", tag:"mo", output:"\u0394", ttype:CONST}, -{input:"\\Theta", tag:"mo", output:"\u0398", ttype:CONST}, -{input:"\\Lambda", tag:"mo", output:"\u039B", ttype:CONST}, -{input:"\\Xi", tag:"mo", output:"\u039E", ttype:CONST}, -{input:"\\Pi", tag:"mo", output:"\u03A0", ttype:CONST}, -{input:"\\Sigma", tag:"mo", output:"\u03A3", ttype:CONST}, -{input:"\\Upsilon", tag:"mo", output:"\u03A5", ttype:CONST}, -{input:"\\Phi", tag:"mo", output:"\u03A6", ttype:CONST}, -{input:"\\Psi", tag:"mo", output:"\u03A8", ttype:CONST}, -{input:"\\Omega", tag:"mo", output:"\u03A9", ttype:CONST}, - -//fractions -{input:"\\frac12", tag:"mo", output:"\u00BD", ttype:CONST}, -{input:"\\frac14", tag:"mo", output:"\u00BC", ttype:CONST}, -{input:"\\frac34", tag:"mo", output:"\u00BE", ttype:CONST}, -{input:"\\frac13", tag:"mo", output:"\u2153", ttype:CONST}, -{input:"\\frac23", tag:"mo", output:"\u2154", ttype:CONST}, -{input:"\\frac15", tag:"mo", output:"\u2155", ttype:CONST}, -{input:"\\frac25", tag:"mo", output:"\u2156", ttype:CONST}, -{input:"\\frac35", tag:"mo", output:"\u2157", ttype:CONST}, -{input:"\\frac45", tag:"mo", output:"\u2158", ttype:CONST}, -{input:"\\frac16", tag:"mo", output:"\u2159", ttype:CONST}, -{input:"\\frac56", tag:"mo", output:"\u215A", ttype:CONST}, -{input:"\\frac18", tag:"mo", output:"\u215B", ttype:CONST}, -{input:"\\frac38", tag:"mo", output:"\u215C", ttype:CONST}, -{input:"\\frac58", tag:"mo", output:"\u215D", ttype:CONST}, -{input:"\\frac78", tag:"mo", output:"\u215E", ttype:CONST}, - -//binary operation symbols -{input:"\\pm", tag:"mo", output:"\u00B1", ttype:CONST}, -{input:"\\mp", tag:"mo", output:"\u2213", ttype:CONST}, -{input:"\\triangleleft",tag:"mo", output:"\u22B2", ttype:CONST}, -{input:"\\triangleright",tag:"mo",output:"\u22B3", ttype:CONST}, -{input:"\\cdot", tag:"mo", output:"\u22C5", ttype:CONST}, -{input:"\\star", tag:"mo", output:"\u22C6", ttype:CONST}, -{input:"\\ast", tag:"mo", output:"\u002A", ttype:CONST}, -{input:"\\times", tag:"mo", output:"\u00D7", ttype:CONST}, -{input:"\\div", tag:"mo", output:"\u00F7", ttype:CONST}, -{input:"\\circ", tag:"mo", output:"\u2218", ttype:CONST}, -//{input:"\\bullet", tag:"mo", output:"\u2219", ttype:CONST}, -{input:"\\bullet", tag:"mo", output:"\u2022", ttype:CONST}, -{input:"\\oplus", tag:"mo", output:"\u2295", ttype:CONST}, -{input:"\\ominus", tag:"mo", output:"\u2296", ttype:CONST}, -{input:"\\otimes", tag:"mo", output:"\u2297", ttype:CONST}, -{input:"\\bigcirc", tag:"mo", output:"\u25CB", ttype:CONST}, -{input:"\\oslash", tag:"mo", output:"\u2298", ttype:CONST}, -{input:"\\odot", tag:"mo", output:"\u2299", ttype:CONST}, -{input:"\\land", tag:"mo", output:"\u2227", ttype:CONST}, -{input:"\\wedge", tag:"mo", output:"\u2227", ttype:CONST}, -{input:"\\lor", tag:"mo", output:"\u2228", ttype:CONST}, -{input:"\\vee", tag:"mo", output:"\u2228", ttype:CONST}, -{input:"\\cap", tag:"mo", output:"\u2229", ttype:CONST}, -{input:"\\cup", tag:"mo", output:"\u222A", ttype:CONST}, -{input:"\\sqcap", tag:"mo", output:"\u2293", ttype:CONST}, -{input:"\\sqcup", tag:"mo", output:"\u2294", ttype:CONST}, -{input:"\\uplus", tag:"mo", output:"\u228E", ttype:CONST}, -{input:"\\amalg", tag:"mo", output:"\u2210", ttype:CONST}, -{input:"\\bigtriangleup",tag:"mo",output:"\u25B3", ttype:CONST}, -{input:"\\bigtriangledown",tag:"mo",output:"\u25BD", ttype:CONST}, -{input:"\\dag", tag:"mo", output:"\u2020", ttype:CONST}, -{input:"\\dagger", tag:"mo", output:"\u2020", ttype:CONST}, -{input:"\\ddag", tag:"mo", output:"\u2021", ttype:CONST}, -{input:"\\ddagger", tag:"mo", output:"\u2021", ttype:CONST}, -{input:"\\lhd", tag:"mo", output:"\u22B2", ttype:CONST}, -{input:"\\rhd", tag:"mo", output:"\u22B3", ttype:CONST}, -{input:"\\unlhd", tag:"mo", output:"\u22B4", ttype:CONST}, -{input:"\\unrhd", tag:"mo", output:"\u22B5", ttype:CONST}, - - -//BIG Operators -{input:"\\sum", tag:"mo", output:"\u2211", ttype:UNDEROVER}, -{input:"\\prod", tag:"mo", output:"\u220F", ttype:UNDEROVER}, -{input:"\\bigcap", tag:"mo", output:"\u22C2", ttype:UNDEROVER}, -{input:"\\bigcup", tag:"mo", output:"\u22C3", ttype:UNDEROVER}, -{input:"\\bigwedge", tag:"mo", output:"\u22C0", ttype:UNDEROVER}, -{input:"\\bigvee", tag:"mo", output:"\u22C1", ttype:UNDEROVER}, -{input:"\\bigsqcap", tag:"mo", output:"\u2A05", ttype:UNDEROVER}, -{input:"\\bigsqcup", tag:"mo", output:"\u2A06", ttype:UNDEROVER}, -{input:"\\coprod", tag:"mo", output:"\u2210", ttype:UNDEROVER}, -{input:"\\bigoplus", tag:"mo", output:"\u2A01", ttype:UNDEROVER}, -{input:"\\bigotimes", tag:"mo", output:"\u2A02", ttype:UNDEROVER}, -{input:"\\bigodot", tag:"mo", output:"\u2A00", ttype:UNDEROVER}, -{input:"\\biguplus", tag:"mo", output:"\u2A04", ttype:UNDEROVER}, -{input:"\\int", tag:"mo", output:"\u222B", ttype:CONST}, -{input:"\\oint", tag:"mo", output:"\u222E", ttype:CONST}, - -//binary relation symbols -{input:":=", tag:"mo", output:":=", ttype:CONST}, -{input:"\\lt", tag:"mo", output:"<", ttype:CONST}, -{input:"\\gt", tag:"mo", output:">", ttype:CONST}, -{input:"\\ne", tag:"mo", output:"\u2260", ttype:CONST}, -{input:"\\neq", tag:"mo", output:"\u2260", ttype:CONST}, -{input:"\\le", tag:"mo", output:"\u2264", ttype:CONST}, -{input:"\\leq", tag:"mo", output:"\u2264", ttype:CONST}, -{input:"\\leqslant", tag:"mo", output:"\u2264", ttype:CONST}, -{input:"\\ge", tag:"mo", output:"\u2265", ttype:CONST}, -{input:"\\geq", tag:"mo", output:"\u2265", ttype:CONST}, -{input:"\\geqslant", tag:"mo", output:"\u2265", ttype:CONST}, -{input:"\\equiv", tag:"mo", output:"\u2261", ttype:CONST}, -{input:"\\ll", tag:"mo", output:"\u226A", ttype:CONST}, -{input:"\\gg", tag:"mo", output:"\u226B", ttype:CONST}, -{input:"\\doteq", tag:"mo", output:"\u2250", ttype:CONST}, -{input:"\\prec", tag:"mo", output:"\u227A", ttype:CONST}, -{input:"\\succ", tag:"mo", output:"\u227B", ttype:CONST}, -{input:"\\preceq", tag:"mo", output:"\u227C", ttype:CONST}, -{input:"\\succeq", tag:"mo", output:"\u227D", ttype:CONST}, -{input:"\\subset", tag:"mo", output:"\u2282", ttype:CONST}, -{input:"\\supset", tag:"mo", output:"\u2283", ttype:CONST}, -{input:"\\subseteq", tag:"mo", output:"\u2286", ttype:CONST}, -{input:"\\supseteq", tag:"mo", output:"\u2287", ttype:CONST}, -{input:"\\sqsubset", tag:"mo", output:"\u228F", ttype:CONST}, -{input:"\\sqsupset", tag:"mo", output:"\u2290", ttype:CONST}, -{input:"\\sqsubseteq", tag:"mo", output:"\u2291", ttype:CONST}, -{input:"\\sqsupseteq", tag:"mo", output:"\u2292", ttype:CONST}, -{input:"\\sim", tag:"mo", output:"\u223C", ttype:CONST}, -{input:"\\simeq", tag:"mo", output:"\u2243", ttype:CONST}, -{input:"\\approx", tag:"mo", output:"\u2248", ttype:CONST}, -{input:"\\cong", tag:"mo", output:"\u2245", ttype:CONST}, -{input:"\\Join", tag:"mo", output:"\u22C8", ttype:CONST}, -{input:"\\bowtie", tag:"mo", output:"\u22C8", ttype:CONST}, -{input:"\\in", tag:"mo", output:"\u2208", ttype:CONST}, -{input:"\\ni", tag:"mo", output:"\u220B", ttype:CONST}, -{input:"\\owns", tag:"mo", output:"\u220B", ttype:CONST}, -{input:"\\propto", tag:"mo", output:"\u221D", ttype:CONST}, -{input:"\\vdash", tag:"mo", output:"\u22A2", ttype:CONST}, -{input:"\\dashv", tag:"mo", output:"\u22A3", ttype:CONST}, -{input:"\\models", tag:"mo", output:"\u22A8", ttype:CONST}, -{input:"\\perp", tag:"mo", output:"\u22A5", ttype:CONST}, -{input:"\\smile", tag:"mo", output:"\u2323", ttype:CONST}, -{input:"\\frown", tag:"mo", output:"\u2322", ttype:CONST}, -{input:"\\asymp", tag:"mo", output:"\u224D", ttype:CONST}, -{input:"\\notin", tag:"mo", output:"\u2209", ttype:CONST}, - -//matrices -{input:"\\begin{eqnarray}", output:"X", ttype:MATRIX, invisible:true}, -{input:"\\begin{array}", output:"X", ttype:MATRIX, invisible:true}, -{input:"\\\\", output:"}&{", ttype:DEFINITION}, -{input:"\\end{eqnarray}", output:"}}", ttype:DEFINITION}, -{input:"\\end{array}", output:"}}", ttype:DEFINITION}, - -//grouping and literal brackets -- ieval is for IE -{input:"\\big", tag:"mo", output:"X", atval:"1.2", ieval:"2.2", ttype:BIG}, -{input:"\\Big", tag:"mo", output:"X", atval:"1.6", ieval:"2.6", ttype:BIG}, -{input:"\\bigg", tag:"mo", output:"X", atval:"2.2", ieval:"3.2", ttype:BIG}, -{input:"\\Bigg", tag:"mo", output:"X", atval:"2.9", ieval:"3.9", ttype:BIG}, -{input:"\\left", tag:"mo", output:"X", ttype:LEFTBRACKET}, -{input:"\\right", tag:"mo", output:"X", ttype:RIGHTBRACKET}, -{input:"{", output:"{", ttype:LEFTBRACKET, invisible:true}, -{input:"}", output:"}", ttype:RIGHTBRACKET, invisible:true}, - -{input:"(", tag:"mo", output:"(", atval:"1", ttype:STRETCHY}, -{input:"[", tag:"mo", output:"[", atval:"1", ttype:STRETCHY}, -{input:"\\lbrack", tag:"mo", output:"[", atval:"1", ttype:STRETCHY}, -{input:"\\{", tag:"mo", output:"{", atval:"1", ttype:STRETCHY}, -{input:"\\lbrace", tag:"mo", output:"{", atval:"1", ttype:STRETCHY}, -{input:"\\langle", tag:"mo", output:"\u2329", atval:"1", ttype:STRETCHY}, -{input:"\\lfloor", tag:"mo", output:"\u230A", atval:"1", ttype:STRETCHY}, -{input:"\\lceil", tag:"mo", output:"\u2308", atval:"1", ttype:STRETCHY}, - -// rtag:"mi" causes space to be inserted before a following sin, cos, etc. -// (see function LMparseExpr() ) -{input:")", tag:"mo",output:")", rtag:"mi",atval:"1",ttype:STRETCHY}, -{input:"]", tag:"mo",output:"]", rtag:"mi",atval:"1",ttype:STRETCHY}, -{input:"\\rbrack",tag:"mo",output:"]", rtag:"mi",atval:"1",ttype:STRETCHY}, -{input:"\\}", tag:"mo",output:"}", rtag:"mi",atval:"1",ttype:STRETCHY}, -{input:"\\rbrace",tag:"mo",output:"}", rtag:"mi",atval:"1",ttype:STRETCHY}, -{input:"\\rangle",tag:"mo",output:"\u232A", rtag:"mi",atval:"1",ttype:STRETCHY}, -{input:"\\rfloor",tag:"mo",output:"\u230B", rtag:"mi",atval:"1",ttype:STRETCHY}, -{input:"\\rceil", tag:"mo",output:"\u2309", rtag:"mi",atval:"1",ttype:STRETCHY}, - -// "|", "\\|", "\\vert" and "\\Vert" modified later: lspace = rspace = 0em -{input:"|", tag:"mo", output:"\u2223", atval:"1", ttype:STRETCHY}, -{input:"\\|", tag:"mo", output:"\u2225", atval:"1", ttype:STRETCHY}, -{input:"\\vert", tag:"mo", output:"\u2223", atval:"1", ttype:STRETCHY}, -{input:"\\Vert", tag:"mo", output:"\u2225", atval:"1", ttype:STRETCHY}, -{input:"\\mid", tag:"mo", output:"\u2223", atval:"1", ttype:STRETCHY}, -{input:"\\parallel", tag:"mo", output:"\u2225", atval:"1", ttype:STRETCHY}, -{input:"/", tag:"mo", output:"/", atval:"1.01", ttype:STRETCHY}, -{input:"\\backslash", tag:"mo", output:"\u2216", atval:"1", ttype:STRETCHY}, -{input:"\\setminus", tag:"mo", output:"\\", ttype:CONST}, - -//miscellaneous symbols -{input:"\\!", tag:"mspace", atname:"width", atval:"-0.167em", ttype:SPACE}, -{input:"\\,", tag:"mspace", atname:"width", atval:"0.167em", ttype:SPACE}, -{input:"\\>", tag:"mspace", atname:"width", atval:"0.222em", ttype:SPACE}, -{input:"\\:", tag:"mspace", atname:"width", atval:"0.222em", ttype:SPACE}, -{input:"\\;", tag:"mspace", atname:"width", atval:"0.278em", ttype:SPACE}, -{input:"~", tag:"mspace", atname:"width", atval:"0.333em", ttype:SPACE}, -{input:"\\quad", tag:"mspace", atname:"width", atval:"1em", ttype:SPACE}, -{input:"\\qquad", tag:"mspace", atname:"width", atval:"2em", ttype:SPACE}, -//{input:"{}", tag:"mo", output:"\u200B", ttype:CONST}, // zero-width -{input:"\\prime", tag:"mo", output:"\u2032", ttype:CONST}, -{input:"'", tag:"mo", output:"\u02B9", ttype:CONST}, -{input:"''", tag:"mo", output:"\u02BA", ttype:CONST}, -{input:"'''", tag:"mo", output:"\u2034", ttype:CONST}, -{input:"''''", tag:"mo", output:"\u2057", ttype:CONST}, -{input:"\\ldots", tag:"mo", output:"\u2026", ttype:CONST}, -{input:"\\cdots", tag:"mo", output:"\u22EF", ttype:CONST}, -{input:"\\vdots", tag:"mo", output:"\u22EE", ttype:CONST}, -{input:"\\ddots", tag:"mo", output:"\u22F1", ttype:CONST}, -{input:"\\forall", tag:"mo", output:"\u2200", ttype:CONST}, -{input:"\\exists", tag:"mo", output:"\u2203", ttype:CONST}, -{input:"\\Re", tag:"mo", output:"\u211C", ttype:CONST}, -{input:"\\Im", tag:"mo", output:"\u2111", ttype:CONST}, -{input:"\\aleph", tag:"mo", output:"\u2135", ttype:CONST}, -{input:"\\hbar", tag:"mo", output:"\u210F", ttype:CONST}, -{input:"\\ell", tag:"mo", output:"\u2113", ttype:CONST}, -{input:"\\wp", tag:"mo", output:"\u2118", ttype:CONST}, -{input:"\\emptyset", tag:"mo", output:"\u2205", ttype:CONST}, -{input:"\\infty", tag:"mo", output:"\u221E", ttype:CONST}, -{input:"\\surd", tag:"mo", output:"\\sqrt{}", ttype:DEFINITION}, -{input:"\\partial", tag:"mo", output:"\u2202", ttype:CONST}, -{input:"\\nabla", tag:"mo", output:"\u2207", ttype:CONST}, -{input:"\\triangle", tag:"mo", output:"\u25B3", ttype:CONST}, -{input:"\\therefore", tag:"mo", output:"\u2234", ttype:CONST}, -{input:"\\angle", tag:"mo", output:"\u2220", ttype:CONST}, -//{input:"\\\\ ", tag:"mo", output:"\u00A0", ttype:CONST}, -{input:"\\diamond", tag:"mo", output:"\u22C4", ttype:CONST}, -//{input:"\\Diamond", tag:"mo", output:"\u25CA", ttype:CONST}, -{input:"\\Diamond", tag:"mo", output:"\u25C7", ttype:CONST}, -{input:"\\neg", tag:"mo", output:"\u00AC", ttype:CONST}, -{input:"\\lnot", tag:"mo", output:"\u00AC", ttype:CONST}, -{input:"\\bot", tag:"mo", output:"\u22A5", ttype:CONST}, -{input:"\\top", tag:"mo", output:"\u22A4", ttype:CONST}, -{input:"\\square", tag:"mo", output:"\u25AB", ttype:CONST}, -{input:"\\Box", tag:"mo", output:"\u25A1", ttype:CONST}, -{input:"\\wr", tag:"mo", output:"\u2240", ttype:CONST}, - -//standard functions -//Note UNDEROVER *must* have tag:"mo" to work properly -{input:"\\arccos", tag:"mi", output:"arccos", ttype:UNARY, func:true}, -{input:"\\arcsin", tag:"mi", output:"arcsin", ttype:UNARY, func:true}, -{input:"\\arctan", tag:"mi", output:"arctan", ttype:UNARY, func:true}, -{input:"\\arg", tag:"mi", output:"arg", ttype:UNARY, func:true}, -{input:"\\cos", tag:"mi", output:"cos", ttype:UNARY, func:true}, -{input:"\\cosh", tag:"mi", output:"cosh", ttype:UNARY, func:true}, -{input:"\\cot", tag:"mi", output:"cot", ttype:UNARY, func:true}, -{input:"\\coth", tag:"mi", output:"coth", ttype:UNARY, func:true}, -{input:"\\csc", tag:"mi", output:"csc", ttype:UNARY, func:true}, -{input:"\\deg", tag:"mi", output:"deg", ttype:UNARY, func:true}, -{input:"\\det", tag:"mi", output:"det", ttype:UNARY, func:true}, -{input:"\\dim", tag:"mi", output:"dim", ttype:UNARY, func:true}, //CONST? -{input:"\\exp", tag:"mi", output:"exp", ttype:UNARY, func:true}, -{input:"\\gcd", tag:"mi", output:"gcd", ttype:UNARY, func:true}, //CONST? -{input:"\\hom", tag:"mi", output:"hom", ttype:UNARY, func:true}, -{input:"\\inf", tag:"mo", output:"inf", ttype:UNDEROVER}, -{input:"\\ker", tag:"mi", output:"ker", ttype:UNARY, func:true}, -{input:"\\lg", tag:"mi", output:"lg", ttype:UNARY, func:true}, -{input:"\\lim", tag:"mo", output:"lim", ttype:UNDEROVER}, -{input:"\\liminf", tag:"mo", output:"liminf", ttype:UNDEROVER}, -{input:"\\limsup", tag:"mo", output:"limsup", ttype:UNDEROVER}, -{input:"\\ln", tag:"mi", output:"ln", ttype:UNARY, func:true}, -{input:"\\log", tag:"mi", output:"log", ttype:UNARY, func:true}, -{input:"\\max", tag:"mo", output:"max", ttype:UNDEROVER}, -{input:"\\min", tag:"mo", output:"min", ttype:UNDEROVER}, -{input:"\\Pr", tag:"mi", output:"Pr", ttype:UNARY, func:true}, -{input:"\\sec", tag:"mi", output:"sec", ttype:UNARY, func:true}, -{input:"\\sin", tag:"mi", output:"sin", ttype:UNARY, func:true}, -{input:"\\sinh", tag:"mi", output:"sinh", ttype:UNARY, func:true}, -{input:"\\sup", tag:"mo", output:"sup", ttype:UNDEROVER}, -{input:"\\tan", tag:"mi", output:"tan", ttype:UNARY, func:true}, -{input:"\\tanh", tag:"mi", output:"tanh", ttype:UNARY, func:true}, - -//arrows -{input:"\\gets", tag:"mo", output:"\u2190", ttype:CONST}, -{input:"\\leftarrow", tag:"mo", output:"\u2190", ttype:CONST}, -{input:"\\to", tag:"mo", output:"\u2192", ttype:CONST}, -{input:"\\rightarrow", tag:"mo", output:"\u2192", ttype:CONST}, -{input:"\\leftrightarrow", tag:"mo", output:"\u2194", ttype:CONST}, -{input:"\\uparrow", tag:"mo", output:"\u2191", ttype:CONST}, -{input:"\\downarrow", tag:"mo", output:"\u2193", ttype:CONST}, -{input:"\\updownarrow", tag:"mo", output:"\u2195", ttype:CONST}, -{input:"\\Leftarrow", tag:"mo", output:"\u21D0", ttype:CONST}, -{input:"\\Rightarrow", tag:"mo", output:"\u21D2", ttype:CONST}, -{input:"\\Leftrightarrow", tag:"mo", output:"\u21D4", ttype:CONST}, -{input:"\\iff", tag:"mo", output:"~\\Longleftrightarrow~", ttype:DEFINITION}, -{input:"\\Uparrow", tag:"mo", output:"\u21D1", ttype:CONST}, -{input:"\\Downarrow", tag:"mo", output:"\u21D3", ttype:CONST}, -{input:"\\Updownarrow", tag:"mo", output:"\u21D5", ttype:CONST}, -{input:"\\mapsto", tag:"mo", output:"\u21A6", ttype:CONST}, -{input:"\\longleftarrow", tag:"mo", output:"\u2190", ttype:LONG}, -{input:"\\longrightarrow", tag:"mo", output:"\u2192", ttype:LONG}, -{input:"\\longleftrightarrow", tag:"mo", output:"\u2194", ttype:LONG}, -{input:"\\Longleftarrow", tag:"mo", output:"\u21D0", ttype:LONG}, -{input:"\\Longrightarrow", tag:"mo", output:"\u21D2", ttype:LONG}, -{input:"\\implies", tag:"mo", output:"\u21D2", ttype:LONG}, -{input:"\\Longleftrightarrow", tag:"mo", output:"\u21D4", ttype:LONG}, -{input:"\\longmapsto", tag:"mo", output:"\u21A6", ttype:CONST}, - // disaster if LONG - -//commands with argument - -{input:"\\sqrt", tag:"msqrt", output:"sqrt", ttype:UNARY}, -{input:"\\root", tag:"mroot", output:"root", ttype:BINARY}, -{input:"\\frac", tag:"mfrac", output:"/", ttype:BINARY}, -{input:"\\stackrel", tag:"mover", output:"stackrel", ttype:BINARY}, -{input:"\\atop", tag:"mfrac", output:"", ttype:INFIX}, -{input:"\\choose", tag:"mfrac", output:"", ttype:INFIX}, -{input:"_", tag:"msub", output:"_", ttype:INFIX}, -{input:"^", tag:"msup", output:"^", ttype:INFIX}, -{input:"\\mathrm", tag:"mtext", output:"text", ttype:TEXT}, -{input:"\\mbox", tag:"mtext", output:"mbox", ttype:TEXT}, - -//diacritical marks -{input:"\\acute", tag:"mover", output:"\u00B4", ttype:UNARY, acc:true}, -//{input:"\\acute", tag:"mover", output:"\u0317", ttype:UNARY, acc:true}, -//{input:"\\acute", tag:"mover", output:"\u0301", ttype:UNARY, acc:true}, -//{input:"\\grave", tag:"mover", output:"\u0300", ttype:UNARY, acc:true}, -//{input:"\\grave", tag:"mover", output:"\u0316", ttype:UNARY, acc:true}, -{input:"\\grave", tag:"mover", output:"\u0060", ttype:UNARY, acc:true}, -{input:"\\breve", tag:"mover", output:"\u02D8", ttype:UNARY, acc:true}, -{input:"\\check", tag:"mover", output:"\u02C7", ttype:UNARY, acc:true}, -{input:"\\dot", tag:"mover", output:".", ttype:UNARY, acc:true}, -{input:"\\ddot", tag:"mover", output:"..", ttype:UNARY, acc:true}, -//{input:"\\ddot", tag:"mover", output:"\u00A8", ttype:UNARY, acc:true}, -{input:"\\mathring", tag:"mover", output:"\u00B0", ttype:UNARY, acc:true}, -{input:"\\vec", tag:"mover", output:"\u20D7", ttype:UNARY, acc:true}, -{input:"\\overrightarrow",tag:"mover",output:"\u20D7", ttype:UNARY, acc:true}, -{input:"\\overleftarrow",tag:"mover", output:"\u20D6", ttype:UNARY, acc:true}, -{input:"\\hat", tag:"mover", output:"\u005E", ttype:UNARY, acc:true}, -{input:"\\widehat", tag:"mover", output:"\u0302", ttype:UNARY, acc:true}, -{input:"\\tilde", tag:"mover", output:"~", ttype:UNARY, acc:true}, -//{input:"\\tilde", tag:"mover", output:"\u0303", ttype:UNARY, acc:true}, -{input:"\\widetilde", tag:"mover", output:"\u02DC", ttype:UNARY, acc:true}, -{input:"\\bar", tag:"mover", output:"\u203E", ttype:UNARY, acc:true}, -{input:"\\overbrace", tag:"mover", output:"\u23B4", ttype:UNARY, acc:true}, -{input:"\\overline", tag:"mover", output:"\u00AF", ttype:UNARY, acc:true}, -{input:"\\underbrace", tag:"munder", output:"\u23B5", ttype:UNARY, acc:true}, -{input:"\\underline", tag:"munder", output:"\u00AF", ttype:UNARY, acc:true}, -//{input:"underline", tag:"munder", output:"\u0332", ttype:UNARY, acc:true}, - -//typestyles and fonts -{input:"\\displaystyle",tag:"mstyle",atname:"displaystyle",atval:"true", ttype:UNARY}, -{input:"\\textstyle",tag:"mstyle",atname:"displaystyle",atval:"false", ttype:UNARY}, -{input:"\\scriptstyle",tag:"mstyle",atname:"scriptlevel",atval:"1", ttype:UNARY}, -{input:"\\scriptscriptstyle",tag:"mstyle",atname:"scriptlevel",atval:"2", ttype:UNARY}, -{input:"\\textrm", tag:"mstyle", output:"\\mathrm", ttype: DEFINITION}, -{input:"\\mathbf", tag:"mstyle", atname:"mathvariant", atval:"bold", ttype:UNARY}, -{input:"\\textbf", tag:"mstyle", atname:"mathvariant", atval:"bold", ttype:UNARY}, -{input:"\\mathit", tag:"mstyle", atname:"mathvariant", atval:"italic", ttype:UNARY}, -{input:"\\textit", tag:"mstyle", atname:"mathvariant", atval:"italic", ttype:UNARY}, -{input:"\\mathtt", tag:"mstyle", atname:"mathvariant", atval:"monospace", ttype:UNARY}, -{input:"\\texttt", tag:"mstyle", atname:"mathvariant", atval:"monospace", ttype:UNARY}, -{input:"\\mathsf", tag:"mstyle", atname:"mathvariant", atval:"sans-serif", ttype:UNARY}, -{input:"\\mathbb", tag:"mstyle", atname:"mathvariant", atval:"double-struck", ttype:UNARY, codes:AMbbb}, -{input:"\\mathcal",tag:"mstyle", atname:"mathvariant", atval:"script", ttype:UNARY, codes:AMcal}, -{input:"\\mathfrak",tag:"mstyle",atname:"mathvariant", atval:"fraktur",ttype:UNARY, codes:AMfrk} -]; - -var LMnames = []; //list of input symbols - -function LMremoveCharsAndBlanks(str,n) { -//remove n characters and any following blanks - var st; - st = str.slice(n); - for (var i=0; i<st.length && st.charCodeAt(i)<=32; i=i+1); - return st.slice(i); -} - -function LMgetSymbol(str) { -//return maximal initial substring of str that appears in names -//return null if there is none - var k = 0; //new pos - var j = 0; //old pos - var mk; //match pos - var st; - var tagst; - var match = ""; - var more = true; - for (var i=1; i<=str.length && more; i++) { - st = str.slice(0,i); //initial substring of length i - j = k; - k = position(LMnames, st, j); - if (k<LMnames.length && str.slice(0,LMnames[k].length)==LMnames[k]){ - match = LMnames[k]; - mk = k; - i = match.length; - } - more = k<LMnames.length && str.slice(0,LMnames[k].length)>=LMnames[k]; - } - LMpreviousSymbol=LMcurrentSymbol; - if (match!=""){ - LMcurrentSymbol=LMsymbols[mk].ttype; - return LMsymbols[mk]; - } - LMcurrentSymbol=CONST; - k = 1; - st = str.slice(0,1); //take 1 character - if ("0"<=st && st<="9") tagst = "mn"; - else tagst = (("A">st || st>"Z") && ("a">st || st>"z")?"mo":"mi"); -/* -// Commented out by DRW (not fully understood, but probably to do with -// use of "/" as an INFIX version of "\\frac", which we don't want): -//} -//if (st=="-" && LMpreviousSymbol==INFIX) { -// LMcurrentSymbol = INFIX; //trick "/" into recognizing "-" on second parse -// return {input:st, tag:tagst, output:st, ttype:UNARY, func:true}; -//} -*/ - return {input:st, tag:tagst, output:st, ttype:CONST}; -} - - -/*Parsing ASCII math expressions with the following grammar -v ::= [A-Za-z] | greek letters | numbers | other constant symbols -u ::= sqrt | text | bb | other unary symbols for font commands -b ::= frac | root | stackrel binary symbols -l ::= { | \left left brackets -r ::= } | \right right brackets -S ::= v | lEr | uS | bSS Simple expression -I ::= S_S | S^S | S_S^S | S Intermediate expression -E ::= IE | I/I Expression -Each terminal symbol is translated into a corresponding mathml node.*/ - -var LMpreviousSymbol,LMcurrentSymbol; - -function LMparseSexpr(str) { //parses str and returns [node,tailstr,(node)tag] - var symbol, node, result, result2, i, st,// rightvert = false, - newFrag = document.createDocumentFragment(); - str = LMremoveCharsAndBlanks(str,0); - symbol = LMgetSymbol(str); //either a token or a bracket or empty - if (symbol == null || symbol.ttype == RIGHTBRACKET) - return [null,str,null]; - if (symbol.ttype == DEFINITION) { - str = symbol.output+LMremoveCharsAndBlanks(str,symbol.input.length); - symbol = LMgetSymbol(str); - if (symbol == null || symbol.ttype == RIGHTBRACKET) - return [null,str,null]; - } - str = LMremoveCharsAndBlanks(str,symbol.input.length); - switch (symbol.ttype) { - case SPACE: - node = createMmlNode(symbol.tag); - node.setAttribute(symbol.atname,symbol.atval); - return [node,str,symbol.tag]; - case UNDEROVER: - if (isIE) { - if (symbol.input.substr(0,4) == "\\big") { // botch for missing symbols - str = "\\"+symbol.input.substr(4)+str; // make \bigcup = \cup etc. - symbol = LMgetSymbol(str); - symbol.ttype = UNDEROVER; - str = LMremoveCharsAndBlanks(str,symbol.input.length); - } - } - return [createMmlNode(symbol.tag, - document.createTextNode(symbol.output)),str,symbol.tag]; - case CONST: - var output = symbol.output; - if (isIE) { - if (symbol.input == "'") - output = "\u2032"; - else if (symbol.input == "''") - output = "\u2033"; - else if (symbol.input == "'''") - output = "\u2033\u2032"; - else if (symbol.input == "''''") - output = "\u2033\u2033"; - else if (symbol.input == "\\square") - output = "\u25A1"; // same as \Box - else if (symbol.input.substr(0,5) == "\\frac") { - // botch for missing fractions - var denom = symbol.input.substr(6,1); - if (denom == "5" || denom == "6") { - str = symbol.input.replace(/\\frac/,"\\frac ")+str; - return [node,str,symbol.tag]; - } - } - } - node = createMmlNode(symbol.tag,document.createTextNode(output)); - return [node,str,symbol.tag]; - case LONG: // added by DRW - node = createMmlNode(symbol.tag,document.createTextNode(symbol.output)); - node.setAttribute("minsize","1.5"); - node.setAttribute("maxsize","1.5"); - node = createMmlNode("mover",node); - node.appendChild(createMmlNode("mspace")); - return [node,str,symbol.tag]; - case STRETCHY: // added by DRW - if (isIE && symbol.input == "\\backslash") - symbol.output = "\\"; // doesn't expand, but then nor does "\u2216" - node = createMmlNode(symbol.tag,document.createTextNode(symbol.output)); - if (symbol.input == "|" || symbol.input == "\\vert" || - symbol.input == "\\|" || symbol.input == "\\Vert") { - node.setAttribute("lspace","0em"); - node.setAttribute("rspace","0em"); - } - node.setAttribute("maxsize",symbol.atval); // don't allow to stretch here - if (symbol.rtag != null) - return [node,str,symbol.rtag]; - else - return [node,str,symbol.tag]; - case BIG: // added by DRW - var atval = symbol.atval; - if (isIE) - atval = symbol.ieval; - symbol = LMgetSymbol(str); - if (symbol == null) - return [null,str,null]; - str = LMremoveCharsAndBlanks(str,symbol.input.length); - node = createMmlNode(symbol.tag,document.createTextNode(symbol.output)); - if (isIE) { // to get brackets to expand - var space = createMmlNode("mspace"); - space.setAttribute("height",atval+"ex"); - node = createMmlNode("mrow",node); - node.appendChild(space); - } else { // ignored in IE - node.setAttribute("minsize",atval); - node.setAttribute("maxsize",atval); - } - return [node,str,symbol.tag]; - case LEFTBRACKET: //read (expr+) - if (symbol.input == "\\left") { // left what? - symbol = LMgetSymbol(str); - if (symbol != null) { - if (symbol.input == ".") - symbol.invisible = true; - str = LMremoveCharsAndBlanks(str,symbol.input.length); - } - } - result = LMparseExpr(str,true,false); - if (symbol==null || - (typeof symbol.invisible == "boolean" && symbol.invisible)) - node = createMmlNode("mrow",result[0]); - else { - node = createMmlNode("mo",document.createTextNode(symbol.output)); - node = createMmlNode("mrow",node); - node.appendChild(result[0]); - } - return [node,result[1],result[2]]; - case MATRIX: //read (expr+) - if (symbol.input == "\\begin{array}") { - var mask = ""; - symbol = LMgetSymbol(str); - str = LMremoveCharsAndBlanks(str,0); - if (symbol == null) - mask = "l"; - else { - str = LMremoveCharsAndBlanks(str,symbol.input.length); - if (symbol.input != "{") - mask = "l"; - else do { - symbol = LMgetSymbol(str); - if (symbol != null) { - str = LMremoveCharsAndBlanks(str,symbol.input.length); - if (symbol.input != "}") - mask = mask+symbol.input; - } - } while (symbol != null && symbol.input != "" && symbol.input != "}"); - } - result = LMparseExpr("{"+str,true,true); -// if (result[0]==null) return [createMmlNode("mo", -// document.createTextNode(symbol.input)),str]; - node = createMmlNode("mtable",result[0]); - mask = mask.replace(/l/g,"left "); - mask = mask.replace(/r/g,"right "); - mask = mask.replace(/c/g,"center "); - node.setAttribute("columnalign",mask); - node.setAttribute("displaystyle","false"); - if (isIE) - return [node,result[1],null]; -// trying to get a *little* bit of space around the array -// (IE already includes it) - var lspace = createMmlNode("mspace"); - lspace.setAttribute("width","0.167em"); - var rspace = createMmlNode("mspace"); - rspace.setAttribute("width","0.167em"); - var node1 = createMmlNode("mrow",lspace); - node1.appendChild(node); - node1.appendChild(rspace); - return [node1,result[1],null]; - } else { // eqnarray - result = LMparseExpr("{"+str,true,true); - node = createMmlNode("mtable",result[0]); - if (isIE) - node.setAttribute("columnspacing","0.25em"); // best in practice? - else - node.setAttribute("columnspacing","0.167em"); // correct (but ignored?) - node.setAttribute("columnalign","right center left"); - node.setAttribute("displaystyle","true"); - node = createMmlNode("mrow",node); - return [node,result[1],null]; - } - case TEXT: - if (str.charAt(0)=="{") i=str.indexOf("}"); - else i = 0; - if (i==-1) - i = str.length; - st = str.slice(1,i); - if (st.charAt(0) == " ") { - node = createMmlNode("mspace"); - node.setAttribute("width","0.33em"); // was 1ex - newFrag.appendChild(node); - } - newFrag.appendChild( - createMmlNode(symbol.tag,document.createTextNode(st))); - if (st.charAt(st.length-1) == " ") { - node = createMmlNode("mspace"); - node.setAttribute("width","0.33em"); // was 1ex - newFrag.appendChild(node); - } - str = LMremoveCharsAndBlanks(str,i+1); - return [createMmlNode("mrow",newFrag),str,null]; - case UNARY: - result = LMparseSexpr(str); - if (result[0]==null) return [createMmlNode(symbol.tag, - document.createTextNode(symbol.output)),str]; - if (typeof symbol.func == "boolean" && symbol.func) { // functions hack - st = str.charAt(0); -// if (st=="^" || st=="_" || st=="/" || st=="|" || st==",") { - if (st=="^" || st=="_" || st==",") { - return [createMmlNode(symbol.tag, - document.createTextNode(symbol.output)),str,symbol.tag]; - } else { - node = createMmlNode("mrow", - createMmlNode(symbol.tag,document.createTextNode(symbol.output))); - if (isIE) { - var space = createMmlNode("mspace"); - space.setAttribute("width","0.167em"); - node.appendChild(space); - } - node.appendChild(result[0]); - return [node,result[1],symbol.tag]; - } - } - if (symbol.input == "\\sqrt") { // sqrt - if (isIE) { // set minsize, for \surd - var space = createMmlNode("mspace"); - space.setAttribute("height","1.2ex"); - space.setAttribute("width","0em"); // probably no effect - node = createMmlNode(symbol.tag,result[0]) -// node.setAttribute("minsize","1"); // ignored -// node = createMmlNode("mrow",node); // hopefully unnecessary - node.appendChild(space); - return [node,result[1],symbol.tag]; - } else - return [createMmlNode(symbol.tag,result[0]),result[1],symbol.tag]; - } else if (typeof symbol.acc == "boolean" && symbol.acc) { // accent - node = createMmlNode(symbol.tag,result[0]); - var output = symbol.output; - if (isIE) { - if (symbol.input == "\\hat") - output = "\u0302"; - else if (symbol.input == "\\widehat") - output = "\u005E"; - else if (symbol.input == "\\bar") - output = "\u00AF"; - else if (symbol.input == "\\grave") - output = "\u0300"; - else if (symbol.input == "\\tilde") - output = "\u0303"; - } - var node1 = createMmlNode("mo",document.createTextNode(output)); - if (symbol.input == "\\vec" || symbol.input == "\\check") - // don't allow to stretch - node1.setAttribute("maxsize","1.2"); - // why doesn't "1" work? \vec nearly disappears in firefox - if (isIE && symbol.input == "\\bar") - node1.setAttribute("maxsize","0.5"); - if (symbol.input == "\\underbrace" || symbol.input == "\\underline") - node1.setAttribute("accentunder","true"); - else - node1.setAttribute("accent","true"); - node.appendChild(node1); - if (symbol.input == "\\overbrace" || symbol.input == "\\underbrace") - node.ttype = UNDEROVER; - return [node,result[1],symbol.tag]; - } else { // font change or displaystyle command - if (!isIE && typeof symbol.codes != "undefined") { - for (i=0; i<result[0].childNodes.length; i++) - if (result[0].childNodes[i].nodeName=="mi" || result[0].nodeName=="mi") { - st = (result[0].nodeName=="mi"?result[0].firstChild.nodeValue: - result[0].childNodes[i].firstChild.nodeValue); - var newst = []; - for (var j=0; j<st.length; j++) - if (st.charCodeAt(j)>64 && st.charCodeAt(j)<91) newst = newst + - String.fromCharCode(symbol.codes[st.charCodeAt(j)-65]); - else newst = newst + st.charAt(j); - if (result[0].nodeName=="mi") - result[0]=createMmlNode("mo"). - appendChild(document.createTextNode(newst)); - else result[0].replaceChild(createMmlNode("mo"). - appendChild(document.createTextNode(newst)),result[0].childNodes[i]); - } - } - node = createMmlNode(symbol.tag,result[0]); - node.setAttribute(symbol.atname,symbol.atval); - if (symbol.input == "\\scriptstyle" || - symbol.input == "\\scriptscriptstyle") - node.setAttribute("displaystyle","false"); - return [node,result[1],symbol.tag]; - } - case BINARY: - result = LMparseSexpr(str); - if (result[0]==null) return [createMmlNode("mo", - document.createTextNode(symbol.input)),str,null]; - result2 = LMparseSexpr(result[1]); - if (result2[0]==null) return [createMmlNode("mo", - document.createTextNode(symbol.input)),str,null]; - if (symbol.input=="\\root" || symbol.input=="\\stackrel") - newFrag.appendChild(result2[0]); - newFrag.appendChild(result[0]); - if (symbol.input=="\\frac") newFrag.appendChild(result2[0]); - return [createMmlNode(symbol.tag,newFrag),result2[1],symbol.tag]; - case INFIX: - str = LMremoveCharsAndBlanks(str,symbol.input.length); - return [createMmlNode("mo",document.createTextNode(symbol.output)), - str,symbol.tag]; - default: - return [createMmlNode(symbol.tag, //its a constant - document.createTextNode(symbol.output)),str,symbol.tag]; - } -} - -function LMparseIexpr(str) { - var symbol, sym1, sym2, node, result, tag, underover; - str = LMremoveCharsAndBlanks(str,0); - sym1 = LMgetSymbol(str); - result = LMparseSexpr(str); - node = result[0]; - str = result[1]; - tag = result[2]; - symbol = LMgetSymbol(str); - if (symbol.ttype == INFIX) { - str = LMremoveCharsAndBlanks(str,symbol.input.length); - result = LMparseSexpr(str); - if (result[0] == null) // show box in place of missing argument - result[0] = createMmlNode("mo",document.createTextNode("\u25A1")); - str = result[1]; - tag = result[2]; - if (symbol.input == "_" || symbol.input == "^") { - sym2 = LMgetSymbol(str); - tag = null; // no space between x^2 and a following sin, cos, etc. -// This is for \underbrace and \overbrace - underover = ((sym1.ttype == UNDEROVER) || (node.ttype == UNDEROVER)); -// underover = (sym1.ttype == UNDEROVER); - if (symbol.input == "_" && sym2.input == "^") { - str = LMremoveCharsAndBlanks(str,sym2.input.length); - var res2 = LMparseSexpr(str); - str = res2[1]; - tag = res2[2]; // leave space between x_1^2 and a following sin etc. - node = createMmlNode((underover?"munderover":"msubsup"),node); - node.appendChild(result[0]); - node.appendChild(res2[0]); - } else if (symbol.input == "_") { - node = createMmlNode((underover?"munder":"msub"),node); - node.appendChild(result[0]); - } else { - node = createMmlNode((underover?"mover":"msup"),node); - node.appendChild(result[0]); - } - node = createMmlNode("mrow",node); // so sum does not stretch - } else { - node = createMmlNode(symbol.tag,node); - if (symbol.input == "\\atop" || symbol.input == "\\choose") - node.setAttribute("linethickness","0ex"); - node.appendChild(result[0]); - if (symbol.input == "\\choose") - node = createMmlNode("mfenced",node); - } - } - return [node,str,tag]; -} - -function LMparseExpr(str,rightbracket,matrix) { - var symbol, node, result, i, tag, - newFrag = document.createDocumentFragment(); - do { - str = LMremoveCharsAndBlanks(str,0); - result = LMparseIexpr(str); - node = result[0]; - str = result[1]; - tag = result[2]; - symbol = LMgetSymbol(str); - if (node!=undefined) { - if ((tag == "mn" || tag == "mi") && symbol!=null && - typeof symbol.func == "boolean" && symbol.func) { - // Add space before \sin in 2\sin x or x\sin x - var space = createMmlNode("mspace"); - space.setAttribute("width","0.167em"); - node = createMmlNode("mrow",node); - node.appendChild(space); - } - newFrag.appendChild(node); - } - } while ((symbol.ttype != RIGHTBRACKET) - && symbol!=null && symbol.output!=""); - tag = null; - if (symbol.ttype == RIGHTBRACKET) { - if (symbol.input == "\\right") { // right what? - str = LMremoveCharsAndBlanks(str,symbol.input.length); - symbol = LMgetSymbol(str); - if (symbol != null && symbol.input == ".") - symbol.invisible = true; - if (symbol != null) - tag = symbol.rtag; - } - if (symbol!=null) - str = LMremoveCharsAndBlanks(str,symbol.input.length); // ready to return - var len = newFrag.childNodes.length; - if (matrix && - len>0 && newFrag.childNodes[len-1].nodeName == "mrow" && len>1 && - newFrag.childNodes[len-2].nodeName == "mo" && - newFrag.childNodes[len-2].firstChild.nodeValue == "&") { //matrix - var pos = []; // positions of ampersands - var m = newFrag.childNodes.length; - for (i=0; matrix && i<m; i=i+2) { - pos[i] = []; - node = newFrag.childNodes[i]; - for (var j=0; j<node.childNodes.length; j++) - if (node.childNodes[j].firstChild.nodeValue=="&") - pos[i][pos[i].length]=j; - } - var row, frag, n, k, table = document.createDocumentFragment(); - for (i=0; i<m; i=i+2) { - row = document.createDocumentFragment(); - frag = document.createDocumentFragment(); - node = newFrag.firstChild; // <mrow> -&-&...&-&- </mrow> - n = node.childNodes.length; - k = 0; - for (j=0; j<n; j++) { - if (typeof pos[i][k] != "undefined" && j==pos[i][k]){ - node.removeChild(node.firstChild); //remove & - row.appendChild(createMmlNode("mtd",frag)); - k++; - } else frag.appendChild(node.firstChild); - } - row.appendChild(createMmlNode("mtd",frag)); - if (newFrag.childNodes.length>2) { - newFrag.removeChild(newFrag.firstChild); //remove <mrow> </mrow> - newFrag.removeChild(newFrag.firstChild); //remove <mo>&</mo> - } - table.appendChild(createMmlNode("mtr",row)); - } - return [table,str]; - } - if (typeof symbol.invisible != "boolean" || !symbol.invisible) { - node = createMmlNode("mo",document.createTextNode(symbol.output)); - newFrag.appendChild(node); - } - } - return [newFrag,str,tag]; -} - -var tcnt = 0, dcnt = 0; //theorem and definition counters - -function simpleLaTeXformatting(st) { - st = st.replace(/\$\$((.|\n)*?)\$\$/g,"<p align=\"center\">$\\displaystyle{$1}$</p>"); - st = st.replace(/\\begin{(theorem|lemma|proposition|corollary)}((.|\n)*?)\\end{\1}/g,function(r,s,t){tcnt++; return "<b>"+s.charAt(0).toUpperCase()+s.slice(1)+" "+tcnt+".</b> <i>"+t.replace(/^\s*<\/?\w+\/?>|\s*<\/?\w+\/?>$/g,"")+"</i>"}); - st = st.replace(/\\begin{(definition|example|remark|problem|exercise|conjecture|solution)}((.|\n)*?)\\end{\1}/g,function(r,s,t){dcnt++; return "<b>"+s.charAt(0).toUpperCase()+s.slice(1)+" "+dcnt+".</b> "+t.replace(/^\s*<\/?\w+\/?>|\s*<\/?\w+\/?>$/g,"")}); - st = st.replace(/\\begin{proof}((.|\n)*?)\\end{proof}/g,function(s,t){return "<i>Proof:</i> "+t.replace(/^\s*<\/?\w+\/?>|\s*<\/?\w+\/?>$/g,"")+" □"}); - st = st.replace(/\\emph{(.*?)}/g,"<em>$1</em>"); - st = st.replace(/\\textbf{(.*?)}/g,"<b>$1</b>"); - st = st.replace(/\\cite{(.*?)}/g,"[$1]"); - st = st.replace(/\\chapter{(.*?)}/g,"<h2>$1</h2>"); - st = st.replace(/\\section{(.*?)}(\s*<\/?(br|p)\s?\/?>)?/g,"<h3>$1</h3>"); - st = st.replace(/\\subsection{((.|\n)*?)}/g,"<h4>$1</h4>"); - st = st.replace(/\\begin{itemize}(\s*<\/?(br|p)\s?\/?>)?/g,"<ul>"); - st = st.replace(/\\item\s((.|\n)*?)(?=(\\item|\\end))/g,"<li>$1</li>"); - st = st.replace(/\\end{itemize}(\s*<\/?(br|p)\s?\/?>)?/g,"</ul>"); - st = st.replace(/\\begin{enumerate}(\s*<\/?(br|p)\s?\/?>)?/g,"<ol>"); - st = st.replace(/\\end{enumerate}(\s*<\/?(br|p)\s?\/?>)?/g,"</ol>"); - st = st.replace(/\\item\[(.*?)]{(.*?)}/g,"<dt>$1</dt><dd>$2</dd>"); - st = st.replace(/\\begin{description}/g,"<dl>"); - st = st.replace(/\\end{description}/g,"</dl>"); - st = st.replace(/\\newline\b/g,"<br/>"); - st = st.replace(/\\newpage\b/g,"<br style=\"page-break-after:always;\">"); - st = st.replace(/\\par\b/g,"<p> </p>"); - st = st.replace(/\\bigskip/g,"<p style=\"margin-bottom:0.5in\"> </p>"); - st = st.replace(/\\medskip/g,"<p style=\"margin-bottom:0.3in\"> </p>"); - st = st.replace(/\\smallskip/g,"<p style=\"margin-bottom:0.15in\"> </p>"); - st = st.replace(/\\begin{center}((.|\n)*?)\\end{center}/g,"<center>$1</center>"); - return st -} - -function ASCIIandgraphformatting(st) { - st = st.replace(/<sup>(.*?)<\/sup>(\s|(\S))/gi,"^{$1} $3"); -//st = st.replace(/<\/?font.*?>/gi,""); // do this only in amath...endamath - st = st.replace(/(Proof:)/g,"<i>$1</i>"); - st = st.replace(/QED/g," □"); - st = st.replace(/(\\?end{?a?math}?)/ig,"<span></span>$1"); - st = st.replace(/(\bamath\b|\\begin{a?math})/ig,"<span></span>$1"); - st = st.replace(/([>\n])(Theorem|Lemma|Proposition|Corollary|Definition|Example|Remark|Problem|Exercise|Conjecture|Solution)(:|\W\W?(\w|\s|-|\.)*?\W?:)/g,"$1<b>$2$3</b>"); - st = st.replace(/<embed\s+class\s?=\s?"?ASCIIsvg"?/gi,"<embed class=\"ASCIIsvg\" src=\""+dsvglocation+"d.svg\" wmode=\"transparent\""); - st = st.replace(/(?:\\begin{a?graph}|\bagraph|\(:graph\s)((.|\n)*?)(?:\\end{a?graph}|enda?graph|:\))/g,function(s,t){return "<table><tr><td><div class=\"ASCIIsvg\"><embed class=\"ASCIIsvg\" src=\""+dsvglocation+"d.svg\" wmode=\"transparent\" script=\'"+t.replace(/<\/?(br|p|pre)\s?\/?>/gi,"\n")+"\'/></div></td></tr></table>"}); - st = st.replace(/insertASCIIMathCalculator/g,"<div class=\"ASCIIMathCalculator\"></div>"); -//alert(dsvglocation) - return st -} - -function LMprocessNode(n) { - var frag,st; - try { - st = n.innerHTML; - } catch(err) {} - var am = /amath\b|graph/i.test(st); - if ((st==null || st.indexOf("\$ ")!=-1 || st.indexOf("\$<")!=-1 || - st.indexOf("\\begin")!=-1 || am || st.slice(-1)=="$" || - st.indexOf("\$\n")!=-1)&& !/edit-content|HTMLArea|wikiedit|wpTextbox1/.test(st)){ - if (!avoidinnerHTML && translateLaTeXformatting) - st = simpleLaTeXformatting(st); - if (st!=null && am && !avoidinnerHTML) { - st = ASCIIandgraphformatting(st); - } - st = st.replace(/%7E/g,"~"); // else PmWiki has url issues -//alert(st) - if (!avoidinnerHTML) n.innerHTML = st; - processNodeR(n,false,true); - } -/* if (isIE) { //needed to match size and font of formula to surrounding text - frag = document.getElementsByTagName('math'); - for (var i=0;i<frag.length;i++) frag[i].update() //is this really needed? - }*/ -} - -/* ASCIIsvg.js -============== -JavaScript routines to dynamically generate Scalable Vector Graphics -using a mathematical xy-coordinate system (y increases upwards) and -very intuitive JavaScript commands (no programming experience required). -ASCIIsvg.js is good for learning math and illustrating online math texts. -Works with Internet Explorer+Adobe SVGviewer and SVG enabled Mozilla/Firefox. - -Ver 1.2.9 July 31, 2007 (c) Peter Jipsen http://www.chapman.edu/~jipsen -Latest version at http://math.chapman.edu/~jipsen/math/pub/ASCIIsvg.js -If you use it on a webpage, please send the URL to jipsen@chapman.edu - -This program is free software; you can redistribute it and/or modify -it under the terms of the GNU Lesser General Public License as published by -the Free Software Foundation; either version 2.1 of the License, or (at -your option) any later version. - -This program is distributed in the hope that it will be useful, -but WITHOUT ANY WARRANTY; without even the implied warranty of -MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser -General Public License (at http://www.gnu.org/license/lgpl.html) -for more details.*/ - -// you can change these -var checkIfSVGavailable = true; -var notifyIfNoSVG = true; -var alertIfNoSVG = false; -var noSVG = false; - -// global defaults used if not specified by graph (you can change these) -var defaultwidth = 300; defaultheight = 200; // in pixels -var defaultxmin = -5.5; defaultxmax = 5.5; // in usercoords -var defaultborder = 0; border = defaultborder; // in pixel -var defaultstrokewidth = "1"; // default line width in pixel -var defaultstroke = "blue"; // default line color -var defaultstrokeopacity = 1; // transparent = 0, solid =1 -var defaultstrokedasharray = null; // "10,10" gives 10px long dashes -var defaultfill = "none"; // default fill color -var defaultfillopacity = 1; // transparent = 0, solid =1 -var defaultfontstyle = "normal"; // default text shape normal|italic|inherit -var defaultfontfamily = "times"; // default font times|ariel|helvetica|... -var defaultfontsize = "16"; // default size (scaled automatically) -var defaultfontweight = "normal";// normal|bold|bolder|lighter|100|...|900 -var defaultfontstroke = "none"; // default font outline color -var defaultfontfill = "none"; // default font color -var defaultmarker = "none"; // "dot" | "arrow" | "+" | "-" | "|" -var defaultendpoints = ""; // "c-d" where c is <|o|* and d is >|o|* - -// global values used for all pictures (you can change these) -var showcoordinates = true; -var markerstrokewidth = "1"; -var markerstroke = "black"; -var markerfill = "yellow"; -var markersize = 4; -var arrowfill = stroke; -var dotradius = 4; -var ticklength = 4; -var axesstroke = "black"; -var gridstroke = "grey"; -var backgroundstyle = "fill-opacity:0; fill:white"; -var singlelettersitalic = true; - -// internal variables (probably no need to change these) -var picturepos = null; // position of picture relative to top of HTML page -var xunitlength; // in pixels, used to convert to user coordinates -var yunitlength; // in pixels -var origin = [0,0]; // in pixels (default is bottom left corner) -var above = "above"; // shorthands (to avoid typing quotes) -var below = "below"; -var left = "left"; -var right = "right"; -var aboveleft = "aboveleft"; -var aboveright = "aboveright"; -var belowleft = "belowleft"; -var belowright = "belowright"; -var xmin, xmax, ymin, ymax, xscl, yscl, - xgrid, ygrid, xtick, ytick, initialized; -var strokewidth, strokedasharray, stroke, fill, strokeopacity, fillopacity; -var fontstyle, fontfamily, fontsize, fontweight, fontstroke, fontfill; -var marker, endpoints, dynamic = {}; -var picture, svgpicture, doc, width, height; -var isIE = document.createElementNS==null; - -//this is not used! var cpi = "\u03C0", ctheta = "\u03B8"; // character for pi, theta -var log = function(x) { return ln(x)/ln(10) }; -var pi = Math.PI, e = Math.E, ln = Math.log, sqrt = Math.sqrt; -var floor = Math.floor, ceil = Math.ceil, abs = Math.abs; -var sin = Math.sin, cos = Math.cos, tan = Math.tan; -var arcsin = Math.asin, arccos = Math.acos, arctan = Math.atan; -var sec = function(x) { return 1/Math.cos(x) }; -var csc = function(x) { return 1/Math.sin(x) }; -var cot = function(x) { return 1/Math.tan(x) }; -var arcsec = function(x) { return arccos(1/x) }; -var arccsc = function(x) { return arcsin(1/x) }; -var arccot = function(x) { return arctan(1/x) }; -var sinh = function(x) { return (Math.exp(x)-Math.exp(-x))/2 }; -var cosh = function(x) { return (Math.exp(x)+Math.exp(-x))/2 }; -var tanh = - function(x) { return (Math.exp(x)-Math.exp(-x))/(Math.exp(x)+Math.exp(-x)) }; -var sech = function(x) { return 1/cosh(x) }; -var csch = function(x) { return 1/sinh(x) }; -var coth = function(x) { return 1/tanh(x) }; -var arcsinh = function(x) { return ln(x+Math.sqrt(x*x+1)) }; -var arccosh = function(x) { return ln(x+Math.sqrt(x*x-1)) }; -var arctanh = function(x) { return ln((1+x)/(1-x))/2 }; -var sech = function(x) { return 1/cosh(x) }; -var csch = function(x) { return 1/sinh(x) }; -var coth = function(x) { return 1/tanh(x) }; -var arcsech = function(x) { return arccosh(1/x) }; -var arccsch = function(x) { return arcsinh(1/x) }; -var arccoth = function(x) { return arctanh(1/x) }; -var sign = function(x) { return (x==0?0:(x<0?-1:1)) }; - -function factorial(x,n) { // Factorial function - if (n==null) n=1; - if (Math.abs(x-Math.round(x*1000000)/1000000)<1e-15) - x = Math.round(x*1000000)/1000000; - if (x-Math.floor(x)!=0) return NaN; - for (var i=x-n; i>0; i-=n) x*=i; - return (x<0?NaN:(x==0?1:x)); -} - -function C(x,k) { // Binomial coefficient function - var res=1; - for (var i=0; i<k; i++) res*=(x-i)/(k-i); - return res; -} - -function chop(x,n) { // Truncate decimal number to n places after decimal point - if (n==null) n=0; - return Math.floor(x*Math.pow(10,n))/Math.pow(10,n); -} - -function ran(a,b,n) { // Generate random number in [a,b] with n digits after . - if (n==null) n=0; - return chop((b+Math.pow(10,-n)-a)*Math.random()+a,n); -} - -function myCreateElementSVG(t) { - if (isIE) return doc.createElement(t); - else return doc.createElementNS("http://www.w3.org/2000/svg",t); -} - -function getElementsByClass(container, tagName, clsName){ - var list = new Array(0); - var collection = container.getElementsByTagName(tagName); - for(var i = 0; i < collection.length; i++) - if(collection[i].className.slice(0,clsName.length)==clsName) - list[list.length] = collection[i]; - return list; -} - -function showobj(obj) { - var st="", i; - for (i in obj) - st += (obj.getAttribute(i)==null?"":" "+i+":"+obj.getAttribute(i)); - return st; -} - -function findPos(obj) { // top-left corner of obj on HTML page in pixel - var curleft = curtop = 0; - if (obj.offsetParent) { - curleft = obj.offsetLeft - curtop = obj.offsetTop - while (obj = obj.offsetParent) { - curleft += obj.offsetLeft - curtop += obj.offsetTop -//alert(showobj(obj)+[curleft,curtop]) - } - } - return [curleft,curtop]; -} - -function checkSVG(){ - if (navigator.appName.slice(0,8)=="Netscape") - if (window['SVGElement']) noSVG = null; - else noSVG = true; - else if (navigator.appName.slice(0,9)=="Microsoft") - try { - var oSVG=eval("new ActiveXObject('Adobe.SVGCtl.3');"); - noSVG = null; - } catch (e) { - noSVG = true; - } - else if (navigator.appName.slice(0,5)=="Opera") // works only for 9.50b1 - noSVG = null; - else noSVG = true; -//noSVG = true; //uncomment to check - if (noSVG && notifyIfNoSVG) { - var msg = "To view the ASCIIsvg images use Internet Explorer + Adobe SVGviewer or Mozilla Firefox 2.0 or later." - if (alertIfNoSVG) - alert(msg); - else return msg; - } -} - -function setText(st,id) { // add text to an existing node with given id - var node = document.getElementById(id); - if (node!=null) - if (node.childNodes.length!=0) node.childNodes[0].nodeValue = st; - else node.appendChild(document.createTextNode(st)); -} - -function getX(evt) { // return mouse x-coord in user coordinate system - var svgroot = evt.target.parentNode; - pos = findPos(svgroot.parentNode); - return (evt.clientX+(isIE?0:window.pageXOffset)-pos[0]-svgroot.getAttribute("ox"))/parseFloat(svgroot.getAttribute("xunitlength")); -} - -function getY(evt) { // return mouse y-coord in user coordinate system - var svgroot = evt.target.parentNode; - pos = findPos(svgroot.parentNode); -//alert(showobj(svgroot)+svgroot.getAttribute("mytop")) - return (svgroot.getAttribute("height")-svgroot.getAttribute("oy")-(evt.clientY+(isIE?0:window.pageYOffset)-pos[1]))/parseFloat(svgroot.getAttribute("yunitlength")); -} - -function translateandeval(src) { //modify user input to JavaScript syntax - var errstr; - // replace plot(f(x),...) with plot("f(x)",...) - src = src.replace(/plot\(\x20*([^\"f\[][^\n\r;]+?)\,/g,"plot\(\"$1\","); - src = src.replace(/plot\(\x20*([^\"f\[][^\n\r;]+)\)/g,"plot(\"$1\")"); - - // replace (expr,expr) by [expr,expr] where expr has no (,) in it - src = src.replace(/([=[(,]\x20*)\(([-a-z0-9./+*]+?),([-a-z0-9./+*]+?)\)/g,"$1[$2,$3]"); -//alert(src) - // insert * between digit and letter e.g. 2x --> 2*x - src = src.replace(/([0-9])([a-df-zA-Z]|e^)/g,"$1*$2"); - src = src.replace(/\)([\(0-9a-zA-Z])/g,"\)*$1"); - - try { - with (Math) eval(src); // here the svgpicture object is created - } catch(err) { - if (err!="wait") { -//alert(dsvglocation) - if (typeof err=="object") - errstr = err.name+" "+err.message+" "+err.number+" "+err.description; - else errstr = err; - alert(errstr+"\n"+src) - } - } -} - -var lastSlot = 0; - -function drawPictures() { // main routine; called after webpage has loaded - var src, id, dsvg, nd, node, ht, index, cols, arr, i, node2; - var ASbody = document.getElementsByTagName("body")[0]; - pictures = getElementsByClass(ASbody,"embed","ASCIIsvg"); - var len = pictures.length; - if(len==0) return; - for (index = lastSlot; index < len+lastSlot; index++) { - width = null; height = null; - xmin = null; xmax = null; ymin = null; ymax = null; - xscl = null; xgrid = null; yscl = null; ygrid = null; - initialized = false; - picture = pictures[index-lastSlot]; // current picture object - src = picture.getAttribute("script"); // get the ASCIIsvg code - if (src==null) src = ""; - // insert "axes()" if not present ******** experimental - if (!/axes\b|initPicture/.test(src)) { - var i = 0; - while (/((yscl|ymax|ymin|xscl|xmax|xmin|\bwidth|\bheight)\s*=\s*-?\d*(\d\.|\.\d|\d)\d*\s*;?)/.test(src.slice(i))) i++; - src = (i==0?"axes(); "+src: src.slice(0,i)+src.slice(i).replace(/((scl|max|min|idth|eight)\s*=\s*-?\d*(\d\.|\.\d|\d)\d*\s*;?)/,"$1\naxes();")); - } - ht = picture.getAttribute("height"); - if (isIE) { - picture.setAttribute("wmode","transparent"); -//alert("*"+picture.getAttribute("src")+dsvglocation); -//adding d.svg dynamically greates problems in IE... -// if (picture.getAttribute("src")=="") picture.setAttribute("src",dsvglocation+"d.svg"); - } - if (document.getElementById("picture"+(index+1)+"mml")==null) { - picture.parentNode.style.position = "relative"; - node = createElementXHTML("div"); - node.style.position = "absolute"; - node.style.top = "0px"; - node.style.left = "0px"; - node.setAttribute("id","picture"+(index+1)+"mml"); - picture.parentNode.insertBefore(node,picture.nextSibling); - } - if (ht==null) ht =""; -// if (ht!="") defaultborder = 25; - if (ht=="" || src=="") - if (document.getElementById("picture"+(index+1)+"input")==null) { - node = createElementXHTML("textarea"); - arr = src.split("\n"); - cols = 0; - for (i=0;i<arr.length;i++) cols = Math.max(cols,arr[i].length); - node.setAttribute("rows",Math.min(10,arr.length)+1); - node.setAttribute("cols",Math.max(Math.min(60,cols),20)+5); -// node.setAttribute("style","display:block"); - if (isIE) src = src.replace(/([^\r])\n/g,"$1\r"); - node.appendChild(document.createTextNode(src)); - if (src.indexOf("showcode()")==-1) node.style.display = "none"; - node.setAttribute("id","picture"+(index+1)+"input"); - picture.parentNode.insertBefore(node,picture.nextSibling); - picture.parentNode.insertBefore(createElementXHTML("br"),node); - node2 = createElementXHTML("button"); - node2.setAttribute("id","picture"+(index+1)+"button"); - if (isIE) node2.onclick = function() {updatePicture(this)}; - else node2.setAttribute("onclick","updatePicture(this)"); - node2.appendChild(document.createTextNode("Update")); - if (src.indexOf("showcode()")==-1) node2.style.display = "none"; - picture.parentNode.insertBefore(node2,node); -// picture.parentNode.insertBefore(document.createTextNode("ASCII"),node); - picture.parentNode.insertBefore(createElementXHTML("br"),node); - } else src = document.getElementById("picture"+(index+1)+"input").value; - id = picture.getAttribute("id"); - dsvg = picture.getAttribute("src"); - if (id == null || id == "") { - id = "picture"+(index+1); - picture.setAttribute("id",id); - } - translateandeval(src); - } - lastSlot+=len; -} - -function setdefaults() { //called before each graph is evaluated - strokewidth = defaultstrokewidth; - stroke = defaultstroke; - strokeopacity = defaultstrokeopacity; - strokedasharray = defaultstrokedasharray; - fill = defaultfill; - fillopacity = defaultfillopacity; - fontstyle = defaultfontstyle; - fontfamily = defaultfontfamily; - fontsize = defaultfontsize; - fontweight = defaultfontweight; - fontstroke = defaultfontstroke; - fontfill = defaultfontfill; - marker = defaultmarker; - endpoints = defaultendpoints; -} - -function switchTo(id) { // used by dynamic code to select appropriate graph - if (id==undefined) return; - var name = id; - if (typeof name!="string") name = id.target.parentNode.getAttribute("name"); - picture = document.getElementById(name); - width = picture.getAttribute("width")-0; - height = picture.getAttribute("height")-0; - setdefaults(); - if ((picture.nodeName == "EMBED" || picture.nodeName == "embed") && isIE) { - svgpicture = picture.getSVGDocument().getElementById("root"); - doc = picture.getSVGDocument(); - } else { - svgpicture = picture; - doc = document; - } - xunitlength = parseFloat(svgpicture.getAttribute("xunitlength")); - yunitlength = parseFloat(svgpicture.getAttribute("yunitlength")); - xmin = parseFloat(svgpicture.getAttribute("xmin")); - xmax = parseFloat(svgpicture.getAttribute("xmax")); - ymin = parseFloat(svgpicture.getAttribute("ymin")); - ymax = parseFloat(svgpicture.getAttribute("ymax")); - origin = [svgpicture.getAttribute("ox")-0,svgpicture.getAttribute("oy")-0]; -} - -function updatePicture(obj) { - var node, src, id, top, left; - if (typeof obj=="object") id = obj.id.slice(0,-6); - else id = (typeof obj=="string"?obj:"picture"+(obj+1)); - src = document.getElementById(id+"input").value; - xmin = null; xmax = null; ymin = null; ymax = null; - xscl = null; xgrid = null; yscl = null; ygrid = null; - initialized = false; - picture = document.getElementById(id); - translateandeval(src) -} - -function changepicturesize(evt,factor) { - var obj = evt.target; - var name = obj.parentNode.getAttribute("name"); - var pic = document.getElementById(name); - var src = document.getElementById(name+"input").value; - if (!/height/.test(src)) src = "height=0; "+src; - if (!/width/.test(src)) src = "width=0; "+src; - src = src.replace(/width\s*=\s*\d+/,"width="+(factor*(pic.getAttribute("width")-0))); - src = src.replace(/height\s*=\s*\d+/,"height="+(factor*(pic.getAttribute("height")-0))); - document.getElementById(name+"input").value = src; -//alert(getKey(evt.keycode)) - updatePicture(name); -} - -function zoom(evt,factor) { - switchTo(evt); - var obj = evt.target; - var name = obj.parentNode.getAttribute("name"); - var pic = document.getElementById(name); - var src = document.getElementById(name+"input").value; - var xlen = (xmax-xmin)/2; - var ylen = (ymax-ymin)/2; - var xcen = getX(evt), ycen = getY(evt); - if (!/ymax/.test(src)) src = "ymax=0; "+src; - if (!/ymin/.test(src)) src = "ymin=0; "+src; - if (!/xmax/.test(src)) src = "xmax=0; "+src; - if (!/xmin/.test(src)) src = "xmin=0; "+src; - src = src.replace(/xmin\s*=\s*[-\d.e]+/,"xmin="+(xcen-factor*xlen)); - src = src.replace(/xmax\s*=\s*[-\d.e]+/,"xmax="+(xcen+factor*xlen)); - src = src.replace(/ymin\s*=\s*[-\d.e]+/,"ymin="+(ycen-factor*ylen)); - src = src.replace(/ymax\s*=\s*[-\d.e]+/,"ymax="+(ycen+factor*ylen)); - document.getElementById(name+"input").value = src; - updatePicture(name); -} - -var sinceFirstClick = 0; // ondblclick simulation from -var dblClkTimer; // http://www.enja.org/david/?cat=13 Thanks! -function timer() { - if(sinceFirstClick<60) { - sinceFirstClick++; - setTimeout("timer()",10); - } else { - clearTimeout(dblClkTimer); - dblClkTimer = ""; - } -} -function mClick(evt) { - if(sinceFirstClick!=0) { - if(sinceFirstClick <= 40) { - if (evt.shiftKey) { - if (evt.altKey) changepicturesize(evt,2); - else zoom(evt,.5); - } else if (evt.altKey) zoom(evt,2);//changepicturesize(evt,.5); - else showHideCode(evt); // do this on dblclick - clearTimeout(dblClkTimer); - dblClkTimer = ""; - } else { - clearTimeout(dblClkTimer); - sinceFirstClick = 0; - dblClkTimer = setTimeout("timer()",10); - } - } else { - sinceFirstClick = 0; - dblClkTimer = setTimeout("timer()",10); - } -} - -function showHideCode(evt) { // called by onclick event -// if (evt.getDetail()==2) {//getDetail unfortunately not in Firefox - var obj=evt.target; - var name = obj.parentNode.getAttribute("name"); - var node = document.getElementById(name+"input"); - node.style.display = (node.style.display == "none"?"":"none"); - var node = document.getElementById(name+"button"); - node.style.display = (node.style.display == "none"?"":"none"); -// } -} - -function showcode() {} // do nothing - -function setBorder(x) { border = x } //deprecate - -function initPicture(x_min,x_max,y_min,y_max) { // set up the graph -// usually called by axes() or noaxes(), but can be used directly - if (!initialized) { - setdefaults(); - initialized = true; - if (x_min!=null) xmin = x_min; - if (x_max!=null) xmax = x_max; - if (y_min!=null) ymin = y_min; - if (y_max!=null) ymax = y_max; - if (xmin==null) xmin = defaultxmin; - if (xmax==null) xmax = defaultxmax; - if (typeof xmin != "number" || typeof xmax != "number" || xmin >= xmax) - alert("Picture requires at least two numbers: xmin < xmax"); - else if (y_max != null && (typeof y_min != "number" || - typeof y_max != "number" || y_min >= y_max)) - alert("initPicture(xmin,xmax,ymin,ymax) requires numbers ymin < ymax"); - else { - if (width==null) { - width = picture.getAttribute("width"); - if (width==null || width=="") width=defaultwidth; - } - picture.setAttribute("width",width); - if (height==null) { - height = picture.getAttribute("height"); - if (height==null || height=="") height=defaultheight; - } - picture.setAttribute("height",height); - xunitlength = (width-2*border)/(xmax-xmin); - yunitlength = xunitlength; -//alert(xmin+" "+xmax+" "+ymin+" "+ymax) - if (ymin==null) { - origin = [-xmin*xunitlength+border,height/2]; - ymin = -(height-2*border)/(2*yunitlength); - ymax = -ymin; - } else { - if (ymax!=null) yunitlength = (height-2*border)/(ymax-ymin); - else ymax = (height-2*border)/yunitlength + ymin; - origin = [-xmin*xunitlength+border,-ymin*yunitlength+border]; - } - if (isIE) { - if (picture.FULLSCREEN==undefined) { - setTimeout('drawPictures()',50); - throw "wait"; - } - svgpicture = picture.getSVGDocument().getElementById("root"); - if (svgpicture==null) { - setTimeout('drawPictures()',50); - throw "wait"; - } - svgpicture = picture.getSVGDocument().getElementById("root"); - while (svgpicture.childNodes.length>0) - svgpicture.removeChild(svgpicture.lastChild); - svgpicture.setAttribute("width",width); - svgpicture.setAttribute("height",height); - svgpicture.setAttribute("name",picture.getAttribute("id")); - doc = picture.getSVGDocument(); - } else { - var qnode = document.createElementNS("http://www.w3.org/2000/svg","svg"); - qnode.setAttribute("id",picture.getAttribute("id")); - qnode.setAttribute("name",picture.getAttribute("id")); -// qnode.setAttribute("style","display:inline"); - qnode.setAttribute("width",picture.getAttribute("width")); - qnode.setAttribute("height",picture.getAttribute("height")); - picturepos = findPos(picture); -// qnode.setAttribute("xmlns:xlink","http://www.w3.org/1999/xlink"); - if (picture.parentNode!=null) { - picture.parentNode.replaceChild(qnode,picture); - } else { - svgpicture.parentNode.replaceChild(qnode,svgpicture); - } - svgpicture = qnode; - doc = document; - } - var nd = document.getElementById(picture.getAttribute("id")+"mml"); - if (nd!=null) // clear out MathML layer - while (nd.childNodes.length>0) nd.removeChild(nd.lastChild); - svgpicture.setAttribute("xunitlength",xunitlength); - svgpicture.setAttribute("yunitlength",yunitlength); - svgpicture.setAttribute("xmin",xmin); - svgpicture.setAttribute("xmax",xmax); - svgpicture.setAttribute("ymin",ymin); - svgpicture.setAttribute("ymax",ymax); - svgpicture.setAttribute("ox",origin[0]); - svgpicture.setAttribute("oy",origin[1]); - var node = myCreateElementSVG("rect"); - node.setAttribute("x","0"); - node.setAttribute("y","0"); - node.setAttribute("width",width); - node.setAttribute("height",height); - node.setAttribute("style",backgroundstyle); - svgpicture.appendChild(node); - svgpicture.setAttribute("onmousemove","displayCoord(evt)"); - svgpicture.setAttribute("onmouseout","removeCoord(evt)"); - svgpicture.setAttribute("onclick","mClick(evt)"); - node = myCreateElementSVG("text"); // used for displayCoord - node.appendChild(doc.createTextNode(" ")); - node.setAttribute("id","coords"); - svgpicture.appendChild(node); - node = myCreateElementSVG("text"); // used for text display - node.appendChild(doc.createTextNode(" ")); - node.setAttribute("id","coords"); - svgpicture.appendChild(node); - border = defaultborder; - } - } -} - -//////////////////////////user graphics commands start///////////////////////// - -function line(p,q,id,endpts) { // segment connecting points p,q (coordinates in units) - var node; - if (id!=null) node = doc.getElementById(id); - if (node==null) { - node = myCreateElementSVG("path"); - node.setAttribute("id", id); - svgpicture.appendChild(node); - } - node.setAttribute("d","M"+(p[0]*xunitlength+origin[0])+","+ - (height-p[1]*yunitlength-origin[1])+" "+ - (q[0]*xunitlength+origin[0])+","+(height-q[1]*yunitlength-origin[1])); - node.setAttribute("stroke-width", strokewidth); - if (strokedasharray!=null) - node.setAttribute("stroke-dasharray", strokedasharray); - node.setAttribute("stroke", stroke); - node.setAttribute("fill", fill); - node.setAttribute("stroke-opacity", strokeopacity); - node.setAttribute("fill-opacity", fillopacity); - if (marker=="dot" || marker=="arrowdot") { - ASdot(p,markersize,markerstroke,markerfill); - if (marker=="arrowdot") arrowhead(p,q); - ASdot(q,markersize,markerstroke,markerfill); - } else if (marker=="arrow") arrowhead(p,q); - if (endpts==null && endpoints!="") endpts = endpoints; - if (endpts!=null) { - if (endpts.indexOf("<-") != -1) arrowhead(q,p); - if (endpts.indexOf("o-") != -1) dot(p, "open"); - if (endpts.indexOf("*-") != -1) dot(p, "closed"); - if (endpts.indexOf("->") != -1) arrowhead(p,q); - if (endpts.indexOf("-o") != -1) dot(q, "open"); - if (endpts.indexOf("-*") != -1) dot(q, "closed"); - } -} - -function path(plist,id,c,endpts) { - if (c==null) c=""; - var node, st, i; - if (id!=null) node = doc.getElementById(id); - if (node==null) { - node = myCreateElementSVG("path"); - node.setAttribute("id", id); - svgpicture.appendChild(node); - } - if (typeof plist == "string") st = plist; - else { - st = "M"; - st += (plist[0][0]*xunitlength+origin[0])+","+ - (height-plist[0][1]*yunitlength-origin[1])+" "+c; - for (i=1; i<plist.length; i++) - st += (plist[i][0]*xunitlength+origin[0])+","+ - (height-plist[i][1]*yunitlength-origin[1])+" "; - } - node.setAttribute("d", st); - node.setAttribute("stroke-width", strokewidth); - if (strokedasharray!=null) - node.setAttribute("stroke-dasharray", strokedasharray); - node.setAttribute("stroke", stroke); - node.setAttribute("fill", fill); - node.setAttribute("stroke-opacity", strokeopacity); - node.setAttribute("fill-opacity", fillopacity); - if (marker=="dot" || marker=="arrowdot") - for (i=0; i<plist.length; i++) - if (c!="C" && c!="T" || i!=1 && i!=2) - ASdot(plist[i],markersize,markerstroke,markerfill); - if (endpts==null && endpoints!="") endpts = endpoints; - if (endpts!=null) { - if (endpts.indexOf("<-") != -1) arrowhead(plist[1],plist[0]); - if (endpts.indexOf("o-") != -1) dot(plist[0], "open"); - if (endpts.indexOf("*-") != -1) dot(plist[0], "closed"); - if (endpts.indexOf("->") != -1) arrowhead(plist[plist.length-2],plist[plist.length-1]); - if (endpts.indexOf("-o") != -1) dot(plist[plist.length-1], "open"); - if (endpts.indexOf("-*") != -1) dot(plist[plist.length-1], "closed"); - } -} - -function curve(plist,id,endpts) { - path(plist,id,"T",endpts); -} - -function vector(p,q,id) { - line(p,q,id,"","->"); -} - -function circle(center,radius,id) { // coordinates in units - var node; - if (id!=null) node = doc.getElementById(id); - if (node==null) { - node = myCreateElementSVG("circle"); - node.setAttribute("id", id); - svgpicture.appendChild(node); - } - node.setAttribute("cx",center[0]*xunitlength+origin[0]); - node.setAttribute("cy",height-center[1]*yunitlength-origin[1]); - node.setAttribute("r",radius*xunitlength); - node.setAttribute("stroke-width", strokewidth); - node.setAttribute("stroke", stroke); - node.setAttribute("fill", fill); - node.setAttribute("stroke-opacity", strokeopacity); - node.setAttribute("fill-opacity", fillopacity); -} - -function loop(p,d,id) { -// d is a direction vector e.g. [1,0] means loop starts in that direction - if (d==null) d=[1,0]; - path([p,[p[0]+d[0],p[1]+d[1]],[p[0]-d[1],p[1]+d[0]],p],id,"C"); - if (marker=="arrow" || marker=="arrowdot") - arrowhead([p[0]+Math.cos(1.4)*d[0]-Math.sin(1.4)*d[1], - p[1]+Math.sin(1.4)*d[0]+Math.cos(1.4)*d[1]],p); -} - -function arc(start,end,radius,id,largearc) { // coordinates in units - var node, v; -//alert([fill, stroke, origin, xunitlength, yunitlength, height]) - if (id!=null) node = doc.getElementById(id); - if (largearc==null) largearc=0; - if (radius==null) { - v=[end[0]-start[0],end[1]-start[1]]; - radius = Math.sqrt(v[0]*v[0]+v[1]*v[1]); - } - if (node==null) { - node = myCreateElementSVG("path"); - node.setAttribute("id", id); - svgpicture.appendChild(node); - } - node.setAttribute("d","M"+(start[0]*xunitlength+origin[0])+","+ - (height-start[1]*yunitlength-origin[1])+" A"+radius*xunitlength+","+ - radius*yunitlength+" 0 "+largearc+",0 "+(end[0]*xunitlength+origin[0])+","+ - (height-end[1]*yunitlength-origin[1])); - node.setAttribute("stroke-width", strokewidth); - node.setAttribute("stroke", stroke); - node.setAttribute("fill", fill); - node.setAttribute("stroke-opacity", strokeopacity); - node.setAttribute("fill-opacity", fillopacity); - if (marker=="arrow" || marker=="arrowdot") { - u = [(end[1]-start[1])/4,(start[0]-end[0])/4]; - v = [(end[0]-start[0])/2,(end[1]-start[1])/2]; -//alert([u,v]) - v = [start[0]+v[0]+u[0],start[1]+v[1]+u[1]]; - } else v=[start[0],start[1]]; - if (marker=="dot" || marker=="arrowdot") { - ASdot(start,markersize,markerstroke,markerfill); - if (marker=="arrowdot") arrowhead(v,end); - ASdot(end,markersize,markerstroke,markerfill); - } else if (marker=="arrow") arrowhead(v,end); -} - -function sector(center,start,end,id) { // center,start,end should be isoceles - var rx = start[0]-center[0], ry = start[1]-center[1]; - arc(start,end,Math.sqrt(rx*rx+ry*ry),id+"arc"); - path([end,center,start],id+"path"); -} - -function ellipse(center,rx,ry,id) { // coordinates in units - var node; - if (id!=null) node = doc.getElementById(id); - if (node==null) { - node = myCreateElementSVG("ellipse"); - node.setAttribute("id", id); - svgpicture.appendChild(node); - } - node.setAttribute("cx",center[0]*xunitlength+origin[0]); - node.setAttribute("cy",height-center[1]*yunitlength-origin[1]); - node.setAttribute("rx",rx*xunitlength); - node.setAttribute("ry",ry*yunitlength); - node.setAttribute("stroke-width", strokewidth); - node.setAttribute("stroke", stroke); - node.setAttribute("fill", fill); - node.setAttribute("stroke-opacity", strokeopacity); - node.setAttribute("fill-opacity", fillopacity); -} - -function triangle(p,q,r,id) { - path([p,q,r,p],id) -} - -function rect(p,q,id,rx,ry) { // opposite corners in units, rounded by radii - var node; - if (id!=null) node = doc.getElementById(id); - if (node==null) { - node = myCreateElementSVG("rect"); - node.setAttribute("id", id); - svgpicture.appendChild(node); - } - node.setAttribute("x",p[0]*xunitlength+origin[0]); - node.setAttribute("y",height-q[1]*yunitlength-origin[1]); - node.setAttribute("width",(q[0]-p[0])*xunitlength); - node.setAttribute("height",(q[1]-p[1])*yunitlength); - if (rx!=null) node.setAttribute("rx",rx*xunitlength); - if (ry!=null) node.setAttribute("ry",ry*yunitlength); - node.setAttribute("stroke-width", strokewidth); - node.setAttribute("stroke", stroke); - node.setAttribute("fill", fill); - node.setAttribute("stroke-opacity", strokeopacity); - node.setAttribute("fill-opacity", fillopacity); -} - -function text(p,st,pos,id,fontsty) { - var dnode, node, dx = 0, dy = fontsize/3, str = st.toString(); - if (/(`|\$)/.test(str)) { // layer for ASCIIMathML and LaTeXMathML - dnode = document.getElementById(svgpicture.getAttribute("name")+"mml"); - if (dnode!=null) { - if (id!=null) node = document.getElementById(id); - if (node==null) { -//alert(dnode.childNodes.length) - node = createElementXHTML("div"); - node.setAttribute("id", id); - node.style.position = "absolute"; - dnode.appendChild(node); - } - while (node.childNodes.length>0) node.removeChild(node.lastChild); - node.appendChild(document.createTextNode(str)); - if (/`/.test(str)) AMprocessNode(node); else LMprocessNode(node); - dx = -node.offsetWidth/2; - dy = -node.offsetHeight/2; - if (pos!=null) { - if (/above/.test(pos)) dy = -node.offsetHeight; - if (/below/.test(pos)) dy = 0; - if (/right/.test(pos)) dx = 0; - if ( /left/.test(pos)) dx = -node.offsetWidth; - } - node.style.left = ""+(p[0]*xunitlength+origin[0]+dx)+"px"; - node.style.top = ""+(height-p[1]*yunitlength-origin[1]+dy)+"px"; - } - return p; - } - var textanchor = "middle"; // regular text goes into SVG - if (pos!=null) { - if (/above/.test(pos)) dy = -fontsize/2; - if (/below/.test(pos)) dy = fontsize-0; - if (/right/.test(pos)) {textanchor = "start"; dx = fontsize/4;} - if ( /left/.test(pos)) {textanchor = "end"; dx = -fontsize/4;} - } - if (id!=null) node = doc.getElementById(id); - if (node==null) { - node = myCreateElementSVG("text"); - node.setAttribute("id", id); - svgpicture.appendChild(node); - node.appendChild(doc.createTextNode(str)); - } - while (node.childNodes.length>1) node.removeChild(node.lastChild); - node.lastChild.nodeValue = "\xA0"+str+"\xA0"; - node.setAttribute("x",p[0]*xunitlength+origin[0]+dx); - node.setAttribute("y",height-p[1]*yunitlength-origin[1]+dy); - node.setAttribute("font-style",(fontsty!=null?fontsty: - (str.search(/^[a-zA-Z]$/)!=-1?"italic":fontstyle))); - node.setAttribute("font-family",fontfamily); - node.setAttribute("font-size",fontsize); - node.setAttribute("font-weight",fontweight); - node.setAttribute("text-anchor",textanchor); - if (fontstroke!="none") node.setAttribute("stroke",fontstroke); - if (fontfill!="none") node.setAttribute("fill",fontfill); - return p; -} - -function mtext(p,st,pos,fontsty,fontsz) { // method for updating text on an svg -// "this" is the text object or the svgpicture object - var textanchor = "middle"; - var dx = 0; var dy = fontsize/3; - if (pos!=null) { - if (pos.slice(0,5)=="above") dy = -fontsize/2; - if (pos.slice(0,5)=="below") dy = fontsize-0; - if (pos.slice(0,5)=="right" || pos.slice(5,10)=="right") { - textanchor = "start"; - dx = fontsize/2; - } - if (pos.slice(0,4)=="left" || pos.slice(5,9)=="left") { - textanchor = "end"; - dx = -fontsize/2; - } - } - var node = this; - if (this.nodeName=="svg") { - node = myCreateElementSVG("text"); - this.appendChild(node); - node.appendChild(doc.createTextNode(st)); - } - node.lastChild.nodeValue = st; - node.setAttribute("x",p[0]+dx); - node.setAttribute("y",p[1]+dy); - node.setAttribute("font-style",(fontsty!=null?fontsty:fontstyle)); - node.setAttribute("font-family",fontfamily); - node.setAttribute("font-size",(fontsz!=null?fontsz:fontsize)); - node.setAttribute("font-weight",fontweight); - node.setAttribute("text-anchor",textanchor); - if (fontstroke!="none") node.setAttribute("stroke",fontstroke); - if (fontfill!="none") node.setAttribute("fill",fontfill); -} - -function image(imgurl,p,w,h,id) { // not working yet - var node; - if (id!=null) node = doc.getElementById(id); - if (node==null) { - node = myCreateElementSVG("image"); - node.setAttribute("id", id); - svgpicture.appendChild(node); - } - node.setAttribute("x",p[0]*xunitlength+origin[0]); - node.setAttribute("y",height-p[1]*yunitlength-origin[1]); - node.setAttribute("width",w); - node.setAttribute("height",h); - node.setAttribute("xlink:href", imgurl); -} - -function ASdot(center,radius,s,f) { // coordinates in units, radius in pixel - if (s==null) s = stroke; if (f==null) f = fill; - var node = myCreateElementSVG("circle"); - node.setAttribute("cx",center[0]*xunitlength+origin[0]); - node.setAttribute("cy",height-center[1]*yunitlength-origin[1]); - node.setAttribute("r",radius); - node.setAttribute("stroke-width", strokewidth); - node.setAttribute("stroke", s); - node.setAttribute("fill", f); - svgpicture.appendChild(node); -} - -function dot(center, typ, label, pos, id) { - var node; - var cx = center[0]*xunitlength+origin[0]; - var cy = height-center[1]*yunitlength-origin[1]; - if (id!=null) node = doc.getElementById(id); - if (typ=="+" || typ=="-" || typ=="|") { - if (node==null) { - node = myCreateElementSVG("path"); - node.setAttribute("id", id); - svgpicture.appendChild(node); - } - if (typ=="+") { - node.setAttribute("d", - " M "+(cx-ticklength)+" "+cy+" L "+(cx+ticklength)+" "+cy+ - " M "+cx+" "+(cy-ticklength)+" L "+cx+" "+(cy+ticklength)); - node.setAttribute("stroke-width", .5); - node.setAttribute("stroke", axesstroke); - } else { - if (typ=="-") node.setAttribute("d", - " M "+(cx-ticklength)+" "+cy+" L "+(cx+ticklength)+" "+cy); - else node.setAttribute("d", - " M "+cx+" "+(cy-ticklength)+" L "+cx+" "+(cy+ticklength)); - node.setAttribute("stroke-width", strokewidth); - node.setAttribute("stroke", stroke); - } - } else { - if (node==null) { - node = myCreateElementSVG("circle"); - node.setAttribute("id", id); - svgpicture.appendChild(node); - } - node.setAttribute("cx",cx); - node.setAttribute("cy",cy); - node.setAttribute("r",dotradius); - node.setAttribute("stroke-width", strokewidth); - node.setAttribute("stroke", stroke); - node.setAttribute("fill", (typ=="open"?"white": - (typ=="closed"?stroke:markerfill))); - } - if (label!=null) - text(center,label,(pos==null?"below":pos),(id==null?id:id+"label")) -} - -point = dot; //alternative name - -function arrowhead(p,q) { // draw arrowhead at q (in units) add size param - var up; - var v = [p[0]*xunitlength+origin[0],height-p[1]*yunitlength-origin[1]]; - var w = [q[0]*xunitlength+origin[0],height-q[1]*yunitlength-origin[1]]; - var u = [w[0]-v[0],w[1]-v[1]]; - var d = Math.sqrt(u[0]*u[0]+u[1]*u[1]); - if (d > 0.00000001) { - u = [u[0]/d, u[1]/d]; - up = [-u[1],u[0]]; - var node = myCreateElementSVG("path"); - node.setAttribute("d","M "+(w[0]-15*u[0]-4*up[0])+" "+ - (w[1]-15*u[1]-4*up[1])+" L "+(w[0]-3*u[0])+" "+(w[1]-3*u[1])+" L "+ - (w[0]-15*u[0]+4*up[0])+" "+(w[1]-15*u[1]+4*up[1])+" z"); - node.setAttribute("stroke-width", markerstrokewidth); - node.setAttribute("stroke", stroke); /*was markerstroke*/ - node.setAttribute("fill", stroke); /*was arrowfill*/ - node.setAttribute("stroke-opacity", strokeopacity); - node.setAttribute("fill-opacity", fillopacity); - svgpicture.appendChild(node); - } -} - -function chopZ(st) { - var k = st.indexOf("."); - if (k==-1) return st; - for (var i=st.length-1; i>k && st.charAt(i)=="0"; i--); - if (i==k) i--; - return st.slice(0,i+1); -} - -function grid(dx,dy) { // for backward compatibility - axes(dx,dy,null,dx,dy) -} - -function noaxes() { - if (!initialized) initPicture(); -} - -function axes(dx,dy,labels,gdx,gdy) { -//xscl=x is equivalent to xtick=x; xgrid=x; labels=true; - var x, y, ldx, ldy, lx, ly, lxp, lyp, pnode, st; - if (!initialized) initPicture(); - if (typeof dx=="string") { labels = dx; dx = null; } - if (typeof dy=="string") { gdx = dy; dy = null; } - if (xscl!=null) {dx = xscl; gdx = xscl; labels = dx} - if (yscl!=null) {dy = yscl; gdy = yscl} - if (xtick!=null) {dx = xtick} - if (ytick!=null) {dy = ytick} - dx = (dx==null?xunitlength:dx*xunitlength); - dy = (dy==null?dx:dy*yunitlength); - fontsize = Math.min(dx/2,dy/2,16); //alert(fontsize) - ticklength = fontsize/4; - if (xgrid!=null) gdx = xgrid; - if (ygrid!=null) gdy = ygrid; - if (gdx!=null) { - gdx = (typeof gdx=="string"?dx:gdx*xunitlength); - gdy = (gdy==null?dy:gdy*yunitlength); - pnode = myCreateElementSVG("path"); - st=""; - for (x = origin[0]; x<width; x = x+gdx) - st += " M"+x+",0"+" "+x+","+height; - for (x = origin[0]-gdx; x>0; x = x-gdx) - st += " M"+x+",0"+" "+x+","+height; - for (y = height-origin[1]; y<height; y = y+gdy) - st += " M0,"+y+" "+width+","+y; - for (y = height-origin[1]-gdy; y>0; y = y-gdy) - st += " M0,"+y+" "+width+","+y; - pnode.setAttribute("d",st); - pnode.setAttribute("stroke-width", .5); - pnode.setAttribute("stroke", gridstroke); - pnode.setAttribute("fill", fill); - svgpicture.appendChild(pnode); - } - pnode = myCreateElementSVG("path"); - st="M0,"+(height-origin[1])+" "+width+","+ - (height-origin[1])+" M"+origin[0]+",0 "+origin[0]+","+height; - for (x = origin[0]+dx; x<width; x = x+dx) - st += " M"+x+","+(height-origin[1]+ticklength)+" "+x+","+ - (height-origin[1]-ticklength); - for (x = origin[0]-dx; x>0; x = x-dx) - st += " M"+x+","+(height-origin[1]+ticklength)+" "+x+","+ - (height-origin[1]-ticklength); - for (y = height-origin[1]+dy; y<height; y = y+dy) - st += " M"+(origin[0]+ticklength)+","+y+" "+(origin[0]-ticklength)+","+y; - for (y = height-origin[1]-dy; y>0; y = y-dy) - st += " M"+(origin[0]+ticklength)+","+y+" "+(origin[0]-ticklength)+","+y; - if (labels!=null) with (Math) { - ldx = dx/xunitlength; - ldy = dy/yunitlength; - lx = (xmin>0 || xmax<0?xmin:0); - ly = (ymin>0 || ymax<0?ymin:0); - lxp = (ly==0?"below":"above"); - lyp = (lx==0?"left":"right"); - var ddx = floor(1.1-log(ldx)/log(10))+1; - var ddy = floor(1.1-log(ldy)/log(10))+1; - for (x = ldx; x<=xmax; x = x+ldx) - text([x,ly],chopZ(x.toFixed(ddx)),lxp); - for (x = -ldx; xmin<=x; x = x-ldx) - text([x,ly],chopZ(x.toFixed(ddx)),lxp); - for (y = ldy; y<=ymax; y = y+ldy) - text([lx,y],chopZ(y.toFixed(ddy)),lyp); - for (y = -ldy; ymin<=y; y = y-ldy) - text([lx,y],chopZ(y.toFixed(ddy)),lyp); - } - fontsize = defaultfontsize; - pnode.setAttribute("d",st); - pnode.setAttribute("stroke-width", .5); - pnode.setAttribute("stroke", axesstroke); - pnode.setAttribute("fill", fill); - pnode.setAttribute("stroke-opacity", strokeopacity); - pnode.setAttribute("fill-opacity", fillopacity); - svgpicture.appendChild(pnode); -} - -function mathjs(st) { - //translate a math formula to js function notation - // a^b --> pow(a,b) - // na --> n*a - // (...)d --> (...)*d - // n! --> factorial(n) - // sin^-1 --> arcsin etc. - //while ^ in string, find term on left and right - //slice and concat new formula string - st = st.replace(/\s/g,""); - if (st.indexOf("^-1")!=-1) { - st = st.replace(/sin\^-1/g,"arcsin"); - st = st.replace(/cos\^-1/g,"arccos"); - st = st.replace(/tan\^-1/g,"arctan"); - st = st.replace(/sec\^-1/g,"arcsec"); - st = st.replace(/csc\^-1/g,"arccsc"); - st = st.replace(/cot\^-1/g,"arccot"); - st = st.replace(/sinh\^-1/g,"arcsinh"); - st = st.replace(/cosh\^-1/g,"arccosh"); - st = st.replace(/tanh\^-1/g,"arctanh"); - st = st.replace(/sech\^-1/g,"arcsech"); - st = st.replace(/csch\^-1/g,"arccsch"); - st = st.replace(/coth\^-1/g,"arccoth"); - } - st = st.replace(/^e$/g,"(Math.E)"); - st = st.replace(/^e([^a-zA-Z])/g,"(Math.E)$1"); - st = st.replace(/([^a-zA-Z])e/g,"$1(Math.E)"); -// st = st.replace(/([^a-zA-Z])e([^a-zA-Z])/g,"$1(Math.E)$2"); - st = st.replace(/([0-9])([\(a-zA-Z])/g,"$1*$2"); - st = st.replace(/\)([\(0-9a-zA-Z])/g,"\)*$1"); - var i,j,k, ch, nested; - while ((i=st.indexOf("^"))!=-1) { - //find left argument - if (i==0) return "Error: missing argument"; - j = i-1; - ch = st.charAt(j); - if (ch>="0" && ch<="9") {// look for (decimal) number - j--; - while (j>=0 && (ch=st.charAt(j))>="0" && ch<="9") j--; - if (ch==".") { - j--; - while (j>=0 && (ch=st.charAt(j))>="0" && ch<="9") j--; - } - } else if (ch==")") {// look for matching opening bracket and function name - nested = 1; - j--; - while (j>=0 && nested>0) { - ch = st.charAt(j); - if (ch=="(") nested--; - else if (ch==")") nested++; - j--; - } - while (j>=0 && (ch=st.charAt(j))>="a" && ch<="z" || ch>="A" && ch<="Z") - j--; - } else if (ch>="a" && ch<="z" || ch>="A" && ch<="Z") {// look for variable - j--; - while (j>=0 && (ch=st.charAt(j))>="a" && ch<="z" || ch>="A" && ch<="Z") - j--; - } else { - return "Error: incorrect syntax in "+st+" at position "+j; - } - //find right argument - if (i==st.length-1) return "Error: missing argument"; - k = i+1; - ch = st.charAt(k); - if (ch>="0" && ch<="9" || ch=="-") {// look for signed (decimal) number - k++; - while (k<st.length && (ch=st.charAt(k))>="0" && ch<="9") k++; - if (ch==".") { - k++; - while (k<st.length && (ch=st.charAt(k))>="0" && ch<="9") k++; - } - } else if (ch=="(") {// look for matching closing bracket and function name - nested = 1; - k++; - while (k<st.length && nested>0) { - ch = st.charAt(k); - if (ch=="(") nested++; - else if (ch==")") nested--; - k++; - } - } else if (ch>="a" && ch<="z" || ch>="A" && ch<="Z") {// look for variable - k++; - while (k<st.length && (ch=st.charAt(k))>="a" && ch<="z" || - ch>="A" && ch<="Z") k++; - } else { - return "Error: incorrect syntax in "+st+" at position "+k; - } - st = st.slice(0,j+1)+"Math.pow("+st.slice(j+1,i)+","+st.slice(i+1,k)+")"+ - st.slice(k); - } - while ((i=st.indexOf("!"))!=-1) { - //find left argument - if (i==0) return "Error: missing argument"; - j = i-1; - ch = st.charAt(j); - if (ch>="0" && ch<="9") {// look for (decimal) number - j--; - while (j>=0 && (ch=st.charAt(j))>="0" && ch<="9") j--; - if (ch==".") { - j--; - while (j>=0 && (ch=st.charAt(j))>="0" && ch<="9") j--; - } - } else if (ch==")") {// look for matching opening bracket and function name - nested = 1; - j--; - while (j>=0 && nested>0) { - ch = st.charAt(j); - if (ch=="(") nested--; - else if (ch==")") nested++; - j--; - } - while (j>=0 && (ch=st.charAt(j))>="a" && ch<="z" || ch>="A" && ch<="Z") - j--; - } else if (ch>="a" && ch<="z" || ch>="A" && ch<="Z") {// look for variable - j--; - while (j>=0 && (ch=st.charAt(j))>="a" && ch<="z" || ch>="A" && ch<="Z") - j--; - } else { - return "Error: incorrect syntax in "+st+" at position "+j; - } - st = st.slice(0,j+1)+"factorial("+st.slice(j+1,i)+")"+st.slice(i+1); - } - return st; -} - -function plot(fun,x_min,x_max,points,id,endpts) { - var pth = []; - var f = function(x) { return x }, g = fun; - var name = null; - if (typeof fun=="string") - eval("g = function(x){ with(Math) return "+mathjs(fun)+" }"); - else if (typeof fun=="object") { - eval("f = function(t){ with(Math) return "+mathjs(fun[0])+" }"); - eval("g = function(t){ with(Math) return "+mathjs(fun[1])+" }"); - } - if (typeof x_min=="string") { name = x_min; x_min = xmin } - else name = id; - var min = (x_min==null?xmin:x_min); - var max = (x_max==null?xmax:x_max); - var inc = max-min-0.000001*(max-min); - inc = (points==null?inc/200:inc/points); - var gt; -//alert(typeof g(min)) - for (var t = min; t <= max; t += inc) { - gt = g(t); - if (!(isNaN(gt)||Math.abs(gt)=="Infinity")) pth[pth.length] = [f(t), gt]; - } - path(pth,name,null,endpts); - return pth; -} - -// make polar plot - -// make Riemann sums - -function slopefield(fun,dx,dy) { - var g = fun; - if (typeof fun=="string") - eval("g = function(x,y){ with(Math) return "+mathjs(fun)+" }"); - var gxy,x,y,u,v,dz; - if (dx==null) dx=1; - if (dy==null) dy=1; - dz = Math.sqrt(dx*dx+dy*dy)/6; - var x_min = Math.ceil(xmin/dx); - var y_min = Math.ceil(ymin/dy); - for (x = x_min; x <= xmax; x += dx) - for (y = y_min; y <= ymax; y += dy) { - gxy = g(x,y); - if (!isNaN(gxy)) { - if (Math.abs(gxy)=="Infinity") {u = 0; v = dz;} - else {u = dz/Math.sqrt(1+gxy*gxy); v = gxy*u;} - line([x-u,y-v],[x+u,y+v]); - } - } -} - -///////////////////////user graphics commands end here///////////////////////// - -function show_props(obj) { - var result = ""; - for (var i=0; i< obj.childNodes.length; i++) - result += obj.childNodes.item(i) + "\n"; - return result; -} - -function displayCoord(evt) { - if (showcoordinates) { - var svgroot = evt.target.parentNode; - var nl = svgroot.childNodes; - for (var i=0; i<nl.length && nl.item(i).nodeName!="text"; i++); - var cnode = nl.item(i); - cnode.mtext = mtext; - cnode.mtext([svgroot.getAttribute("width")-(-7),svgroot.getAttribute("height")-7],"("+getX(evt).toFixed(2)+", "+getY(evt).toFixed(2)+")", "left", "", "11"); -/* var dnode = nl.item(i+1); - dnode.mtext = mtext; - dnode.mtext([0,svgroot.getAttribute("height")-6],"Try (shift/alt)-dblclick", "right", "", "8"); -*/ } -} - -function removeCoord(evt) { - var svgroot = evt.target.parentNode; - var nl = svgroot.childNodes; - for (var i=0; i<nl.length && nl.item(i).nodeName!="text"; i++); - var cnode = nl.item(i); - cnode.mtext = mtext; - cnode.mtext([svgroot.getAttribute("width")-0,svgroot.getAttribute("height")-0],"", "aboveleft", ""); -/* var dnode = nl.item(i+1); - dnode.mtext = mtext; - dnode.mtext([0,svgroot.getAttribute("height")-0],"", "aboveright", ""); -*/} - -function initASCIIMathCalculators(li) { - var i; - for (i=0; i<li.length; i++) { - li[i].innerHTML = calcstr; - AMprocessNode(li[i]); - } - li = document.getElementsByTagName("textarea"); - var st; - for (i=0; i<li.length; i++) { - st = li[i].getAttribute("onkeyup"); - if (st!=null) eval(String(st).replace(/function anonymous\(\)/,"")); - } -} - -function calculate(inputId,outputId) { - var str = document.getElementById(inputId).value; - var err = ""; - var ind = str.lastIndexOf("\n"); - if (ind==str.length-1) str = str.slice(0,ind); - str = str.slice(str.lastIndexOf("\n")+1); - try { - var res = eval(mathjs(str)); - } catch(e) { - err = "syntax incomplete"; - } - if (!isNaN(res) && res!="Infinity") - str = "`"+str+" =` "+(Math.abs(res-Math.round(res*1000000)/1000000)<1e-15?Math.round(res*1000000)/1000000:res)+err; - else if (str!="") str = "`"+str+"` = undefined"; //debug:+mathjs(str); - var outnode = document.getElementById(outputId); - var n = outnode.childNodes.length; - for (var i=0; i<n; i++) - outnode.removeChild(outnode.firstChild); - outnode.appendChild(document.createTextNode(str)); - AMprocessNode(outnode); -} - -function append(st){ - document.getElementById('in').value+=st; - calculate('in','out'); - document.getElementById('in').scrollTop = 1000; - document.getElementById('in').focus(); -} - -function clearTextArea(){ - document.getElementById('in').value=""; - calculate('in','out'); - document.getElementById('in').focus(); -} - -var calcstr = "<table align=\"center\">\n<tr><th>\nASCIIMath Scientific Calculator\n</th></tr>\n<tr><td>\nClick in the box to use your keyboard or use the buttons\n</td></tr>\n<tr><td>\n<textarea id=\"in\" rows=\"3\" cols=\"40\" onkeyup=\"calculate('in','out')\"></textarea></td></tr>\n<tr><td height=\"50\">Result: <span id=\"out\"></span></td></tr>\n</table>\n<table align=\"center\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody align=\"center\">\n<tr>\n<td colspan=\"4\">\n<button onclick=\"append('sin^-1(')\"><font size=2>`sin^-1`</font></button><button onclick=\"append('cos^-1(')\"><font size=2>`cos^-1`</font></button><button onclick=\"append('tan^-1(')\"><font size=2>`tan^-1`</font></button></td>\n<td><button onclick=\"clearTextArea()\"> `C` </button></td>\n\n</tr>\n<tr>\n<td><button onclick=\"append('pi')\"> `pi` </button></td>\n<td><button onclick=\"append('sin(')\"> `sin`</button></td>\n<td><button onclick=\"append('cos(')\"> `cos`</button></td>\n<td><button onclick=\"append('tan(')\"> `tan`</button></td>\n<td><button onclick=\"append('^')\">`x^y`</button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('!')\"> `!` </button></td>\n\n<td><button onclick=\"append('(')\"><font size=2> `(` </font></button></td>\n<td><button onclick=\"append(')')\"><font size=2> `)` </font></button></td>\n<td><button onclick=\"append('sqrt(')\"><font size=2>`sqrt({::}^\ )`</font></button></td>\n<td><button onclick=\"append('/')\"> `-:\ `</button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('log(')\">`log`</button></td>\n<td><button onclick=\"append('7')\"> `7` </button></td>\n<td><button onclick=\"append('8')\"> `8` </button></td>\n\n<td><button onclick=\"append('9')\"> `9` </button></td>\n<td><button onclick=\"append('*')\"> `times` </button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('ln(')\"> `ln` </button></td>\n<td><button onclick=\"append('4')\"> `4` </button></td>\n<td><button onclick=\"append('5')\"> `5` </button></td>\n<td><button onclick=\"append('6')\"> `6` </button></td>\n\n<td><button onclick=\"append('-')\"> `-{::}` </button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('e')\"> `e` </button></td>\n<td><button onclick=\"append('1')\"> `1` </button></td>\n<td><button onclick=\"append('2')\"> `2` </button></td>\n<td><button onclick=\"append('3')\"> `3` </button></td>\n<td><button onclick=\"append('+')\"> `+{::}` </button></td>\n\n</tr>\n<tr>\n<td> <!--button onclick=\"append('pi')\"> `pi` </button--></td>\n<td><button onclick=\"append('0')\"> `0` </button></td>\n<td><button onclick=\"append('.')\"> `.` </button></td>\n<td><button onclick=\"append('\\n')\"> `\"ent\"`</button></td>\n</tr>\n</tbody>\n</table>"; - -// GO1.1 Generic onload by Brothercake -// http://www.brothercake.com/ -//onload function (replaces the onload="translate()" in the <body> tag) -function generic() -{ - if(!init()) return; - if (translateOnLoad) { - var nd = document.getElementById("processasciimathinmoodle"); - if (nd!=null) dsvglocation = nd.className; - if (nd!=null || !checkforprocessasciimathinmoodle) { - translate(); - if (!noSVG && translateASCIIsvg) drawPictures(); - } - var li = getElementsByClass(document,"div","ASCIIMathCalculator"); - if (!noMathML && li.length>0) initASCIIMathCalculators(li); - } -}; -//setup onload function -if(typeof window.addEventListener != 'undefined') -{ - //.. gecko, safari, konqueror and standard - window.addEventListener('load', generic, false); -} -else if(typeof document.addEventListener != 'undefined') -{ - //.. opera 7 - document.addEventListener('load', generic, false); -} -else if(typeof window.attachEvent != 'undefined') -{ - //.. win/ie - window.attachEvent('onload', generic); -} -//** remove this condition to degrade older browsers -else -{ - //.. mac/ie5 and anything else that gets this far - //if there's an existing onload function - if(typeof window.onload == 'function') - { - //store it - var existing = onload; - //add new onload handler - window.onload = function() - { - //call existing onload function - existing(); - //call generic onload function - generic(); - }; - } - else - { - //setup onload function - window.onload = generic; - } -} diff --git a/data/ASCIIMathML.js.comment b/data/ASCIIMathML.js.comment deleted file mode 100644 index 8721031e1..000000000 --- a/data/ASCIIMathML.js.comment +++ /dev/null @@ -1,2 +0,0 @@ -/* ASCIIMathML.js - copyright Peter Jipsen, released under the GPL - See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */ diff --git a/data/ASCIIMathML.js.packed b/data/ASCIIMathML.js.packed deleted file mode 100644 index eabb35af7..000000000 --- a/data/ASCIIMathML.js.packed +++ /dev/null @@ -1,374 +0,0 @@ -var mathcolor="";var mathfontsize="1em";var mathfontfamily="serif";var automathrecognize=false;var checkForMathML=true;var notifyIfNoMathML=true;var alertIfNoMathML=false;var translateOnLoad=true;var translateLaTeX=true;var translateLaTeXformatting=true;var translateASCIIMath=true;var translateASCIIsvg=true;var avoidinnerHTML=false;var displaystyle=true;var showasciiformulaonhover=true;var decimalsign=".";var AMdelimiter1="`",AMescape1="\\\\`";var AMdocumentId="wikitext" -var checkforprocessasciimathinmoodle=false;var dsvglocation="";var isIE=document.createElementNS==null;var noMathML=false,translated=false;if(isIE){document.write("<object id=\"mathplayer\"\ - classid=\"clsid:32F66A20-7614-11D4-BD11-00104BD3F987\"></object>");document.write("<?import namespace=\"m\" implementation=\"#mathplayer\"?>");} -function setStylesheet(s){var id="AMMLcustomStyleSheet";var n=document.getElementById(id);if(document.createStyleSheet){if(n) -n.parentNode.removeChild(n);document.getElementsByTagName("head")[0].insertAdjacentHTML("beforeEnd"," <style id='"+id+"'>"+s+"</style>");}else{if(n){n.replaceChild(document.createTextNode(s),n.firstChild);}else{n=document.createElement("style");n.type="text/css";n.id=id;n.appendChild(document.createTextNode(s));document.getElementsByTagName("head")[0].appendChild(n);}}} -setStylesheet("#AMMLcloseDiv \{font-size:0.8em; padding-top:1em; color:#014\}\n#AMMLwarningBox \{position:absolute; width:100%; top:0; left:0; z-index:200; text-align:center; font-size:1em; font-weight:bold; padding:0.5em 0 0.5em 0; color:#ffc; background:#c30\}");function init(){var msg,warnings=new Array();if(document.getElementById==null){alert("This webpage requires a recent browser such as Mozilla Firefox/Netscape 7+ or Internet Explorer 6+ with MathPlayer and Adobe SVGviewer");return null;} -if(checkForMathML&&(msg=checkMathML()))warnings.push(msg);if(checkIfSVGavailable&&(msg=checkSVG()))warnings.push(msg);if(warnings.length>0)displayWarnings(warnings);if(!noMathML)initSymbols();return true;} -function checkMathML(){if(navigator.appName.slice(0,8)=="Netscape") -if(navigator.appVersion.slice(0,1)>="5")noMathML=null;else noMathML=true;else if(navigator.appName.slice(0,9)=="Microsoft") -try{var ActiveX=new ActiveXObject("MathPlayer.Factory.1");noMathML=null;}catch(e){noMathML=true;} -else noMathML=true;if(noMathML&¬ifyIfNoMathML){var msg="To view the ASCIIMathML notation use Internet Explorer + MathPlayer or Mozilla Firefox 2.0 or later.";if(alertIfNoMathML) -alert(msg);else return msg;}} -function hideWarning(){var body=document.getElementsByTagName("body")[0];body.removeChild(document.getElementById('AMMLwarningBox'));body.onclick=null;} -function displayWarnings(warnings){var i,frag,nd=createElementXHTML("div");var body=document.getElementsByTagName("body")[0];body.onclick=hideWarning;nd.id='AMMLwarningBox';for(i=0;i<warnings.length;i++){frag=createElementXHTML("div");frag.appendChild(document.createTextNode(warnings[i]));frag.style.paddingBottom="1.0em";nd.appendChild(frag);} -nd.appendChild(createElementXHTML("p"));nd.appendChild(document.createTextNode("For instructions see the "));var an=createElementXHTML("a");an.appendChild(document.createTextNode("ASCIIMathML"));an.setAttribute("href","http://www.chapman.edu/~jipsen/asciimath.html");nd.appendChild(an);nd.appendChild(document.createTextNode(" homepage"));an=createElementXHTML("div");an.id='AMMLcloseDiv';an.appendChild(document.createTextNode('(click anywhere to close this warning)'));nd.appendChild(an);var body=document.getElementsByTagName("body")[0];body.insertBefore(nd,body.childNodes[0]);} -function translate(spanclassAM){if(!translated){translated=true;var body=document.getElementsByTagName("body")[0];var processN=document.getElementById(AMdocumentId);if(translateLaTeX)LMprocessNode((processN!=null?processN:body));if(translateASCIIMath)AMprocessNode((processN!=null?processN:body),false,spanclassAM);}} -function createElementXHTML(t){if(isIE)return document.createElement(t);else return document.createElementNS("http://www.w3.org/1999/xhtml",t);} -function createMmlNode(t,frag){if(isIE)var node=document.createElement("m:"+t);else var node=document.createElementNS("http://www.w3.org/1998/Math/MathML",t);if(frag)node.appendChild(frag);return node;} -var AMcal=[0xEF35,0x212C,0xEF36,0xEF37,0x2130,0x2131,0xEF38,0x210B,0x2110,0xEF39,0xEF3A,0x2112,0x2133,0xEF3B,0xEF3C,0xEF3D,0xEF3E,0x211B,0xEF3F,0xEF40,0xEF41,0xEF42,0xEF43,0xEF44,0xEF45,0xEF46];var AMfrk=[0xEF5D,0xEF5E,0x212D,0xEF5F,0xEF60,0xEF61,0xEF62,0x210C,0x2111,0xEF63,0xEF64,0xEF65,0xEF66,0xEF67,0xEF68,0xEF69,0xEF6A,0x211C,0xEF6B,0xEF6C,0xEF6D,0xEF6E,0xEF6F,0xEF70,0xEF71,0x2128];var AMbbb=[0xEF8C,0xEF8D,0x2102,0xEF8E,0xEF8F,0xEF90,0xEF91,0x210D,0xEF92,0xEF93,0xEF94,0xEF95,0xEF96,0x2115,0xEF97,0x2119,0x211A,0x211D,0xEF98,0xEF99,0xEF9A,0xEF9B,0xEF9C,0xEF9D,0xEF9E,0x2124];var CONST=0,UNARY=1,BINARY=2,INFIX=3,LEFTBRACKET=4,RIGHTBRACKET=5,SPACE=6,UNDEROVER=7,DEFINITION=8,LEFTRIGHT=9,TEXT=10,BIG=11,LONG=12,STRETCHY=13,MATRIX=14;;var AMquote={input:"\"",tag:"mtext",output:"mbox",tex:null,ttype:TEXT};var AMsymbols=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:CONST},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:CONST},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:CONST},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:CONST},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:CONST},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:CONST},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:CONST},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:CONST},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:CONST},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:CONST},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:CONST},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:CONST},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:CONST},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:CONST},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:CONST},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:CONST},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:CONST},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:CONST},{input:"phi",tag:"mi",output:"\u03C6",tex:null,ttype:CONST},{input:"varphi",tag:"mi",output:"\u03D5",tex:null,ttype:CONST},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:CONST},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:CONST},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:CONST},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:CONST},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:CONST},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:CONST},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:CONST},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:CONST},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:CONST},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:CONST},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:CONST},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:CONST},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:CONST},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:CONST},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:CONST},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:CONST},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:CONST},{input:"**",tag:"mo",output:"\u22C6",tex:"star",ttype:CONST},{input:"//",tag:"mo",output:"/",tex:null,ttype:CONST},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:CONST},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:CONST},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:CONST},{input:"-:",tag:"mo",output:"\u00F7",tex:"divide",ttype:CONST},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:CONST},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:CONST},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:CONST},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:CONST},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:UNDEROVER},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:UNDEROVER},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:CONST},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:UNDEROVER},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:CONST},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:UNDEROVER},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:CONST},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:UNDEROVER},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:CONST},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:UNDEROVER},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:CONST},{input:":=",tag:"mo",output:":=",tex:null,ttype:CONST},{input:"lt",tag:"mo",output:"<",tex:null,ttype:CONST},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:CONST},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:CONST},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:CONST},{input:"geq",tag:"mo",output:"\u2265",tex:null,ttype:CONST},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:CONST},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:CONST},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:CONST},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:CONST},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:CONST},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:CONST},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:CONST},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:CONST},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:CONST},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:CONST},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:CONST},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:CONST},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:CONST},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:CONST},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:CONST},{input:"and",tag:"mtext",output:"and",tex:null,ttype:SPACE},{input:"or",tag:"mtext",output:"or",tex:null,ttype:SPACE},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:CONST},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:CONST},{input:"if",tag:"mo",output:"if",tex:null,ttype:SPACE},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:CONST},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:CONST},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:CONST},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:CONST},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:CONST},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:CONST},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:CONST},{input:"(",tag:"mo",output:"(",tex:null,ttype:LEFTBRACKET},{input:")",tag:"mo",output:")",tex:null,ttype:RIGHTBRACKET},{input:"[",tag:"mo",output:"[",tex:null,ttype:LEFTBRACKET},{input:"]",tag:"mo",output:"]",tex:null,ttype:RIGHTBRACKET},{input:"{",tag:"mo",output:"{",tex:null,ttype:LEFTBRACKET},{input:"}",tag:"mo",output:"}",tex:null,ttype:RIGHTBRACKET},{input:"|",tag:"mo",output:"|",tex:null,ttype:LEFTRIGHT},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:LEFTBRACKET},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:RIGHTBRACKET},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:LEFTBRACKET},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:RIGHTBRACKET},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:LEFTBRACKET,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:RIGHTBRACKET,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:CONST},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:DEFINITION},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:DEFINITION},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:DEFINITION},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:DEFINITION},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:CONST},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:CONST},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:CONST},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:CONST},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:CONST},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:CONST},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:CONST},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:CONST},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:CONST},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:CONST},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:CONST},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:CONST},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:CONST},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:CONST},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:CONST},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:CONST},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:CONST},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:CONST},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:CONST},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:CONST},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:CONST},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:CONST},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:CONST},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:CONST},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:CONST},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:CONST},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:CONST},{input:"f",tag:"mi",output:"f",tex:null,ttype:UNARY,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:UNARY,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:UNDEROVER},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:UNDEROVER},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:UNARY,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:UNARY,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:UNARY,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:UNARY,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:UNARY,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:UNARY,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:UNARY,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:UNARY,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:UNARY,func:true},{input:"log",tag:"mo",output:"log",tex:null,ttype:UNARY,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:UNARY,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:UNARY,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:CONST},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:CONST},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:UNARY,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:UNARY,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:CONST},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:CONST},{input:"min",tag:"mo",output:"min",tex:null,ttype:UNDEROVER},{input:"max",tag:"mo",output:"max",tex:null,ttype:UNDEROVER},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:CONST},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:CONST},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:CONST},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:CONST},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:CONST},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:CONST},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:CONST},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:CONST},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:CONST},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:CONST},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:CONST},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:CONST},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:CONST},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:UNARY},{input:"root",tag:"mroot",output:"root",tex:null,ttype:BINARY},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:BINARY},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:INFIX},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:BINARY},{input:"_",tag:"msub",output:"_",tex:null,ttype:INFIX},{input:"^",tag:"msup",output:"^",tex:null,ttype:INFIX},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:UNARY,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:UNARY,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:UNARY,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:UNARY,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:UNARY,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:UNARY,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:TEXT},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:TEXT},AMquote,{input:"bb",tag:"mstyle",atname:"fontweight",atval:"bold",output:"bb",tex:null,ttype:UNARY},{input:"mathbf",tag:"mstyle",atname:"fontweight",atval:"bold",output:"mathbf",tex:null,ttype:UNARY},{input:"sf",tag:"mstyle",atname:"fontfamily",atval:"sans-serif",output:"sf",tex:null,ttype:UNARY},{input:"mathsf",tag:"mstyle",atname:"fontfamily",atval:"sans-serif",output:"mathsf",tex:null,ttype:UNARY},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:UNARY,codes:AMbbb},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:UNARY,codes:AMbbb},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:UNARY,codes:AMcal},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:UNARY,codes:AMcal},{input:"tt",tag:"mstyle",atname:"fontfamily",atval:"monospace",output:"tt",tex:null,ttype:UNARY},{input:"mathtt",tag:"mstyle",atname:"fontfamily",atval:"monospace",output:"mathtt",tex:null,ttype:UNARY},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:UNARY,codes:AMfrk},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:UNARY,codes:AMfrk}];function compareNames(s1,s2){if(s1.input>s2.input)return 1 -else return-1;} -var AMnames=[];function initSymbols(){var texsymbols=[],i;for(i=0;i<AMsymbols.length;i++) -if(AMsymbols[i].tex) -texsymbols[texsymbols.length]={input:AMsymbols[i].tex,tag:AMsymbols[i].tag,output:AMsymbols[i].output,ttype:AMsymbols[i].ttype};AMsymbols=AMsymbols.concat(texsymbols);refreshSymbols();} -function refreshSymbols(){var i;AMsymbols.sort(compareNames);for(i=0;i<AMsymbols.length;i++)AMnames[i]=AMsymbols[i].input;LMsymbols.sort(compareNames);for(i=0;i<LMsymbols.length;i++)LMnames[i]=LMsymbols[i].input;} -function define(oldstr,newstr){if(oldstr.substr(0,1)=="\\") -LMsymbols=LMsymbols.concat([{input:oldstr,tag:"mo",output:newstr,ttype:DEFINITION}]);else -AMsymbols=AMsymbols.concat([{input:oldstr,tag:"mo",output:newstr,tex:null,ttype:DEFINITION}]);refreshSymbols();} -function AMremoveCharsAndBlanks(str,n){var st;if(str.charAt(n)=="\\"&&str.charAt(n+1)!="\\"&&str.charAt(n+1)!=" ") -st=str.slice(n+1);else st=str.slice(n);for(var i=0;i<st.length&&st.charCodeAt(i)<=32;i=i+1);return st.slice(i);} -function position(arr,str,n){if(n==0){var h,m;n=-1;h=arr.length;while(n+1<h){m=(n+h)>>1;if(arr[m]<str)n=m;else h=m;} -return h;}else -for(var i=n;i<arr.length&&arr[i]<str;i++);return i;} -function AMgetSymbol(str){var k=0;var j=0;var mk;var st;var tagst;var match="";var more=true;for(var i=1;i<=str.length&&more;i++){st=str.slice(0,i);j=k;k=position(AMnames,st,j);if(k<AMnames.length&&str.slice(0,AMnames[k].length)==AMnames[k]){match=AMnames[k];mk=k;i=match.length;} -more=k<AMnames.length&&str.slice(0,AMnames[k].length)>=AMnames[k];} -AMpreviousSymbol=AMcurrentSymbol;if(match!=""){AMcurrentSymbol=AMsymbols[mk].ttype;return AMsymbols[mk];} -AMcurrentSymbol=CONST;k=1;st=str.slice(0,1);var integ=true;while("0"<=st&&st<="9"&&k<=str.length){st=str.slice(k,k+1);k++;} -if(st==decimalsign){st=str.slice(k,k+1);if("0"<=st&&st<="9"){integ=false;k++;while("0"<=st&&st<="9"&&k<=str.length){st=str.slice(k,k+1);k++;}}} -if((integ&&k>1)||k>2){st=str.slice(0,k-1);tagst="mn";}else{k=2;st=str.slice(0,1);tagst=(("A">st||st>"Z")&&("a">st||st>"z")?"mo":"mi");} -if(st=="-"&&AMpreviousSymbol==INFIX){AMcurrentSymbol=INFIX;return{input:st,tag:tagst,output:st,ttype:UNARY,func:true};} -return{input:st,tag:tagst,output:st,ttype:CONST};} -function AMremoveBrackets(node){var st;if(node.nodeName=="mrow"){st=node.firstChild.firstChild.nodeValue;if(st=="("||st=="["||st=="{")node.removeChild(node.firstChild);} -if(node.nodeName=="mrow"){st=node.lastChild.firstChild.nodeValue;if(st==")"||st=="]"||st=="}")node.removeChild(node.lastChild);}} -var AMnestingDepth,AMpreviousSymbol,AMcurrentSymbol;function AMparseSexpr(str){var symbol,node,result,i,st,newFrag=document.createDocumentFragment();str=AMremoveCharsAndBlanks(str,0);symbol=AMgetSymbol(str);if(symbol==null||symbol.ttype==RIGHTBRACKET&&AMnestingDepth>0){return[null,str];} -if(symbol.ttype==DEFINITION){str=symbol.output+AMremoveCharsAndBlanks(str,symbol.input.length);symbol=AMgetSymbol(str);} -switch(symbol.ttype){case UNDEROVER:case CONST:str=AMremoveCharsAndBlanks(str,symbol.input.length);return[createMmlNode(symbol.tag,document.createTextNode(symbol.output)),str];case LEFTBRACKET:AMnestingDepth++;str=AMremoveCharsAndBlanks(str,symbol.input.length);result=AMparseExpr(str,true);AMnestingDepth--;if(typeof symbol.invisible=="boolean"&&symbol.invisible) -node=createMmlNode("mrow",result[0]);else{node=createMmlNode("mo",document.createTextNode(symbol.output));node=createMmlNode("mrow",node);node.appendChild(result[0]);} -return[node,result[1]];case TEXT:if(symbol!=AMquote)str=AMremoveCharsAndBlanks(str,symbol.input.length);if(str.charAt(0)=="{")i=str.indexOf("}");else if(str.charAt(0)=="(")i=str.indexOf(")");else if(str.charAt(0)=="[")i=str.indexOf("]");else if(symbol==AMquote)i=str.slice(1).indexOf("\"")+1;else i=0;if(i==-1)i=str.length;st=str.slice(1,i);if(st.charAt(0)==" "){node=createMmlNode("mspace");node.setAttribute("width","1ex");newFrag.appendChild(node);} -newFrag.appendChild(createMmlNode(symbol.tag,document.createTextNode(st)));if(st.charAt(st.length-1)==" "){node=createMmlNode("mspace");node.setAttribute("width","1ex");newFrag.appendChild(node);} -str=AMremoveCharsAndBlanks(str,i+1);return[createMmlNode("mrow",newFrag),str];case UNARY:str=AMremoveCharsAndBlanks(str,symbol.input.length);result=AMparseSexpr(str);if(result[0]==null)return[createMmlNode(symbol.tag,document.createTextNode(symbol.output)),str];if(typeof symbol.func=="boolean"&&symbol.func){st=str.charAt(0);if(st=="^"||st=="_"||st=="/"||st=="|"||st==","){return[createMmlNode(symbol.tag,document.createTextNode(symbol.output)),str];}else{node=createMmlNode("mrow",createMmlNode(symbol.tag,document.createTextNode(symbol.output)));node.appendChild(result[0]);return[node,result[1]];}} -AMremoveBrackets(result[0]);if(symbol.input=="sqrt"){return[createMmlNode(symbol.tag,result[0]),result[1]];}else if(typeof symbol.acc=="boolean"&&symbol.acc){node=createMmlNode(symbol.tag,result[0]);node.appendChild(createMmlNode("mo",document.createTextNode(symbol.output)));return[node,result[1]];}else{if(!isIE&&typeof symbol.codes!="undefined"){for(i=0;i<result[0].childNodes.length;i++) -if(result[0].childNodes[i].nodeName=="mi"||result[0].nodeName=="mi"){st=(result[0].nodeName=="mi"?result[0].firstChild.nodeValue:result[0].childNodes[i].firstChild.nodeValue);var newst=[];for(var j=0;j<st.length;j++) -if(st.charCodeAt(j)>64&&st.charCodeAt(j)<91)newst=newst+ -String.fromCharCode(symbol.codes[st.charCodeAt(j)-65]);else newst=newst+st.charAt(j);if(result[0].nodeName=="mi") -result[0]=createMmlNode("mo").appendChild(document.createTextNode(newst));else result[0].replaceChild(createMmlNode("mo").appendChild(document.createTextNode(newst)),result[0].childNodes[i]);}} -node=createMmlNode(symbol.tag,result[0]);node.setAttribute(symbol.atname,symbol.atval);return[node,result[1]];} -case BINARY:str=AMremoveCharsAndBlanks(str,symbol.input.length);result=AMparseSexpr(str);if(result[0]==null)return[createMmlNode("mo",document.createTextNode(symbol.input)),str];AMremoveBrackets(result[0]);var result2=AMparseSexpr(result[1]);if(result2[0]==null)return[createMmlNode("mo",document.createTextNode(symbol.input)),str];AMremoveBrackets(result2[0]);if(symbol.input=="root"||symbol.input=="stackrel") -newFrag.appendChild(result2[0]);newFrag.appendChild(result[0]);if(symbol.input=="frac")newFrag.appendChild(result2[0]);return[createMmlNode(symbol.tag,newFrag),result2[1]];case INFIX:str=AMremoveCharsAndBlanks(str,symbol.input.length);return[createMmlNode("mo",document.createTextNode(symbol.output)),str];case SPACE:str=AMremoveCharsAndBlanks(str,symbol.input.length);node=createMmlNode("mspace");node.setAttribute("width","1ex");newFrag.appendChild(node);newFrag.appendChild(createMmlNode(symbol.tag,document.createTextNode(symbol.output)));node=createMmlNode("mspace");node.setAttribute("width","1ex");newFrag.appendChild(node);return[createMmlNode("mrow",newFrag),str];case LEFTRIGHT:AMnestingDepth++;str=AMremoveCharsAndBlanks(str,symbol.input.length);result=AMparseExpr(str,false);AMnestingDepth--;var st="";if(result[0].lastChild!=null) -st=result[0].lastChild.firstChild.nodeValue;if(st=="|"){node=createMmlNode("mo",document.createTextNode(symbol.output));node=createMmlNode("mrow",node);node.appendChild(result[0]);return[node,result[1]];}else{node=createMmlNode("mo",document.createTextNode("\u2223"));node=createMmlNode("mrow",node);return[node,str];} -default:str=AMremoveCharsAndBlanks(str,symbol.input.length);return[createMmlNode(symbol.tag,document.createTextNode(symbol.output)),str];}} -function AMparseIexpr(str){var symbol,sym1,sym2,node,result,underover;str=AMremoveCharsAndBlanks(str,0);sym1=AMgetSymbol(str);result=AMparseSexpr(str);node=result[0];str=result[1];symbol=AMgetSymbol(str);if(symbol.ttype==INFIX&&symbol.input!="/"){str=AMremoveCharsAndBlanks(str,symbol.input.length);result=AMparseSexpr(str);if(result[0]==null) -result[0]=createMmlNode("mo",document.createTextNode("\u25A1"));else AMremoveBrackets(result[0]);str=result[1];if(symbol.input=="_"){sym2=AMgetSymbol(str);underover=(sym1.ttype==UNDEROVER);if(sym2.input=="^"){str=AMremoveCharsAndBlanks(str,sym2.input.length);var res2=AMparseSexpr(str);AMremoveBrackets(res2[0]);str=res2[1];node=createMmlNode((underover?"munderover":"msubsup"),node);node.appendChild(result[0]);node.appendChild(res2[0]);node=createMmlNode("mrow",node);}else{node=createMmlNode((underover?"munder":"msub"),node);node.appendChild(result[0]);}}else{node=createMmlNode(symbol.tag,node);node.appendChild(result[0]);}} -return[node,str];} -function AMparseExpr(str,rightbracket){var symbol,node,result,i,nodeList=[],newFrag=document.createDocumentFragment();do{str=AMremoveCharsAndBlanks(str,0);result=AMparseIexpr(str);node=result[0];str=result[1];symbol=AMgetSymbol(str);if(symbol.ttype==INFIX&&symbol.input=="/"){str=AMremoveCharsAndBlanks(str,symbol.input.length);result=AMparseIexpr(str);if(result[0]==null) -result[0]=createMmlNode("mo",document.createTextNode("\u25A1"));else AMremoveBrackets(result[0]);str=result[1];AMremoveBrackets(node);node=createMmlNode(symbol.tag,node);node.appendChild(result[0]);newFrag.appendChild(node);symbol=AMgetSymbol(str);} -else if(node!=undefined)newFrag.appendChild(node);}while((symbol.ttype!=RIGHTBRACKET&&(symbol.ttype!=LEFTRIGHT||rightbracket)||AMnestingDepth==0)&&symbol!=null&&symbol.output!="");if(symbol.ttype==RIGHTBRACKET||symbol.ttype==LEFTRIGHT){var len=newFrag.childNodes.length;if(len>0&&newFrag.childNodes[len-1].nodeName=="mrow"&&len>1&&newFrag.childNodes[len-2].nodeName=="mo"&&newFrag.childNodes[len-2].firstChild.nodeValue==","){var right=newFrag.childNodes[len-1].lastChild.firstChild.nodeValue;if(right==")"||right=="]"){var left=newFrag.childNodes[len-1].firstChild.firstChild.nodeValue;if(left=="("&&right==")"&&symbol.output!="}"||left=="["&&right=="]"){var pos=[];var matrix=true;var m=newFrag.childNodes.length;for(i=0;matrix&&i<m;i=i+2){pos[i]=[];node=newFrag.childNodes[i];if(matrix)matrix=node.nodeName=="mrow"&&(i==m-1||node.nextSibling.nodeName=="mo"&&node.nextSibling.firstChild.nodeValue==",")&&node.firstChild.firstChild.nodeValue==left&&node.lastChild.firstChild.nodeValue==right;if(matrix) -for(var j=0;j<node.childNodes.length;j++) -if(node.childNodes[j].firstChild.nodeValue==",") -pos[i][pos[i].length]=j;if(matrix&&i>1)matrix=pos[i].length==pos[i-2].length;} -if(matrix){var row,frag,n,k,table=document.createDocumentFragment();for(i=0;i<m;i=i+2){row=document.createDocumentFragment();frag=document.createDocumentFragment();node=newFrag.firstChild;n=node.childNodes.length;k=0;node.removeChild(node.firstChild);for(j=1;j<n-1;j++){if(typeof pos[i][k]!="undefined"&&j==pos[i][k]){node.removeChild(node.firstChild);row.appendChild(createMmlNode("mtd",frag));k++;}else frag.appendChild(node.firstChild);} -row.appendChild(createMmlNode("mtd",frag));if(newFrag.childNodes.length>2){newFrag.removeChild(newFrag.firstChild);newFrag.removeChild(newFrag.firstChild);} -table.appendChild(createMmlNode("mtr",row));} -node=createMmlNode("mtable",table);if(typeof symbol.invisible=="boolean"&&symbol.invisible)node.setAttribute("columnalign","left");newFrag.replaceChild(node,newFrag.firstChild);}}}} -str=AMremoveCharsAndBlanks(str,symbol.input.length);if(typeof symbol.invisible!="boolean"||!symbol.invisible){node=createMmlNode("mo",document.createTextNode(symbol.output));newFrag.appendChild(node);}} -return[newFrag,str];} -function parseMath(str,latex){var frag,node;AMnestingDepth=0;frag=latex?LMparseExpr(str.replace(/^\s+/g,""),false,false)[0]:AMparseExpr(str.replace(/^\s+/g,""),false)[0];node=createMmlNode("mstyle",frag);node.setAttribute("mathcolor",mathcolor);node.setAttribute("fontfamily",mathfontfamily);node.setAttribute("mathsize",mathfontsize);if(displaystyle)node.setAttribute("displaystyle","true");node=createMmlNode("math",node);if(showasciiformulaonhover) -node.setAttribute("title",str.replace(/\s+/g," "));return node;} -function strarr2docFrag(arr,linebreaks,latex){var newFrag=document.createDocumentFragment();var expr=false;for(var i=0;i<arr.length;i++){if(expr)newFrag.appendChild(parseMath(arr[i],latex));else{var arri=(linebreaks?arr[i].split("\n\n"):[arr[i]]);newFrag.appendChild(createElementXHTML("span").appendChild(document.createTextNode(arri[0])));for(var j=1;j<arri.length;j++){newFrag.appendChild(createElementXHTML("p"));newFrag.appendChild(createElementXHTML("span").appendChild(document.createTextNode(arri[j])));}} -expr=!expr;} -return newFrag;} -function AMautomathrec(str){var texcommand="\\\\[a-zA-Z]+|\\\\\\s|";var ambigAMtoken="\\b(?:oo|lim|ln|int|oint|del|grad|aleph|prod|prop|sinh|cosh|tanh|cos|sec|pi|tt|fr|sf|sube|supe|sub|sup|det|mod|gcd|lcm|min|max|vec|ddot|ul|chi|eta|nu|mu)(?![a-z])|";var englishAMtoken="\\b(?:sum|ox|log|sin|tan|dim|hat|bar|dot)(?![a-z])|";var secondenglishAMtoken="|\\bI\\b|\\bin\\b|\\btext\\b";var simpleAMtoken="NN|ZZ|QQ|RR|CC|TT|AA|EE|sqrt|dx|dy|dz|dt|xx|vv|uu|nn|bb|cc|csc|cot|alpha|beta|delta|Delta|epsilon|gamma|Gamma|kappa|lambda|Lambda|omega|phi|Phi|Pi|psi|Psi|rho|sigma|Sigma|tau|theta|Theta|xi|Xi|zeta";var letter="[a-zA-HJ-Z](?=(?:[^a-zA-Z]|$|"+ambigAMtoken+englishAMtoken+simpleAMtoken+"))|";var token=letter+texcommand+"\\d+|[-()[\\]{}+=*&^_%\\\@/<>,\\|!:;'~]|\\.(?!(?:\x20|$))|"+ambigAMtoken+englishAMtoken+simpleAMtoken;var re=new RegExp("(^|\\s)((("+token+")\\s?)(("+token+secondenglishAMtoken+")\\s?)+)([,.?]?(?=\\s|$))","g");str=str.replace(re," `$2`$7");var arr=str.split(AMdelimiter1);var re1=new RegExp("(^|\\s)([b-zB-HJ-Z+*<>]|"+texcommand+ambigAMtoken+simpleAMtoken+")(\\s|\\n|$)","g");var re2=new RegExp("(^|\\s)([a-z]|"+texcommand+ambigAMtoken+simpleAMtoken+")([,.])","g");for(i=0;i<arr.length;i++) -if(i%2==0){arr[i]=arr[i].replace(re1," `$2`$3");arr[i]=arr[i].replace(re2," `$2`$3");arr[i]=arr[i].replace(/([{}[\]])/,"`$1`");} -str=arr.join(AMdelimiter1);str=str.replace(/((^|\s)\([a-zA-Z]{2,}.*?)\)`/g,"$1`)");str=str.replace(/`(\((a\s|in\s))(.*?[a-zA-Z]{2,}\))/g,"$1`$3");str=str.replace(/\sin`/g,"` in");str=str.replace(/`(\(\w\)[,.]?(\s|\n|$))/g,"$1`");str=str.replace(/`([0-9.]+|e.g|i.e)`(\.?)/gi,"$1$2");str=str.replace(/`([0-9.]+:)`/g,"$1");return str;} -function processNodeR(n,linebreaks,latex){var mtch,str,arr,frg,i;if(n.childNodes.length==0){if((n.nodeType!=8||linebreaks)&&n.parentNode.nodeName!="form"&&n.parentNode.nodeName!="FORM"&&n.parentNode.nodeName!="textarea"&&n.parentNode.nodeName!="TEXTAREA"){str=n.nodeValue;if(!(str==null)){str=str.replace(/\r\n\r\n/g,"\n\n");str=str.replace(/\x20+/g," ");str=str.replace(/\s*\r\n/g," ");if(latex){mtch=(str.indexOf("\$")==-1?false:true);str=str.replace(/([^\\])\$/g,"$1 \$");str=str.replace(/^\$/," \$");arr=str.split(" \$");for(i=0;i<arr.length;i++) -arr[i]=arr[i].replace(/\\\$/g,"\$");}else{mtch=false;str=str.replace(new RegExp(AMescape1,"g"),function(){mtch=true;return"AMescape1"});str=str.replace(/\\?end{?a?math}?/i,function(){automathrecognize=false;mtch=true;return""});str=str.replace(/amath\b|\\begin{a?math}/i,function(){automathrecognize=true;mtch=true;return""});arr=str.split(AMdelimiter1);if(automathrecognize) -for(i=0;i<arr.length;i++) -if(i%2==0)arr[i]=AMautomathrec(arr[i]);str=arr.join(AMdelimiter1);arr=str.split(AMdelimiter1);for(i=0;i<arr.length;i++) -arr[i]=arr[i].replace(/AMescape1/g,AMdelimiter1);} -if(arr.length>1||mtch){if(!noMathML){frg=strarr2docFrag(arr,n.nodeType==8,latex);var len=frg.childNodes.length;n.parentNode.replaceChild(frg,n);return len-1;}else return 0;}}}else return 0;}else if(n.nodeName!="math"){for(i=0;i<n.childNodes.length;i++) -i+=processNodeR(n.childNodes[i],linebreaks,latex);} -return 0;} -function AMprocessNode(n,linebreaks,spanclassAM){var frag,st;if(spanclassAM!=null){frag=document.getElementsByTagName("span") -for(var i=0;i<frag.length;i++) -if(frag[i].className=="AM") -processNodeR(frag[i],linebreaks,false);}else{try{st=n.innerHTML;}catch(err){} -if(st==null||/amath\b|\\begin{a?math}/i.test(st)||st.indexOf(AMdelimiter1+" ")!=-1||st.slice(-1)==AMdelimiter1||st.indexOf(AMdelimiter1+"<")!=-1||st.indexOf(AMdelimiter1+"\n")!=-1){processNodeR(n,linebreaks,false);}}} -var LMsymbols=[{input:"\\alpha",tag:"mi",output:"\u03B1",ttype:CONST},{input:"\\beta",tag:"mi",output:"\u03B2",ttype:CONST},{input:"\\gamma",tag:"mi",output:"\u03B3",ttype:CONST},{input:"\\delta",tag:"mi",output:"\u03B4",ttype:CONST},{input:"\\epsilon",tag:"mi",output:"\u03B5",ttype:CONST},{input:"\\varepsilon",tag:"mi",output:"\u025B",ttype:CONST},{input:"\\zeta",tag:"mi",output:"\u03B6",ttype:CONST},{input:"\\eta",tag:"mi",output:"\u03B7",ttype:CONST},{input:"\\theta",tag:"mi",output:"\u03B8",ttype:CONST},{input:"\\vartheta",tag:"mi",output:"\u03D1",ttype:CONST},{input:"\\iota",tag:"mi",output:"\u03B9",ttype:CONST},{input:"\\kappa",tag:"mi",output:"\u03BA",ttype:CONST},{input:"\\lambda",tag:"mi",output:"\u03BB",ttype:CONST},{input:"\\mu",tag:"mi",output:"\u03BC",ttype:CONST},{input:"\\nu",tag:"mi",output:"\u03BD",ttype:CONST},{input:"\\xi",tag:"mi",output:"\u03BE",ttype:CONST},{input:"\\pi",tag:"mi",output:"\u03C0",ttype:CONST},{input:"\\varpi",tag:"mi",output:"\u03D6",ttype:CONST},{input:"\\rho",tag:"mi",output:"\u03C1",ttype:CONST},{input:"\\varrho",tag:"mi",output:"\u03F1",ttype:CONST},{input:"\\varsigma",tag:"mi",output:"\u03C2",ttype:CONST},{input:"\\sigma",tag:"mi",output:"\u03C3",ttype:CONST},{input:"\\tau",tag:"mi",output:"\u03C4",ttype:CONST},{input:"\\upsilon",tag:"mi",output:"\u03C5",ttype:CONST},{input:"\\phi",tag:"mi",output:"\u03C6",ttype:CONST},{input:"\\varphi",tag:"mi",output:"\u03D5",ttype:CONST},{input:"\\chi",tag:"mi",output:"\u03C7",ttype:CONST},{input:"\\psi",tag:"mi",output:"\u03C8",ttype:CONST},{input:"\\omega",tag:"mi",output:"\u03C9",ttype:CONST},{input:"\\Gamma",tag:"mo",output:"\u0393",ttype:CONST},{input:"\\Delta",tag:"mo",output:"\u0394",ttype:CONST},{input:"\\Theta",tag:"mo",output:"\u0398",ttype:CONST},{input:"\\Lambda",tag:"mo",output:"\u039B",ttype:CONST},{input:"\\Xi",tag:"mo",output:"\u039E",ttype:CONST},{input:"\\Pi",tag:"mo",output:"\u03A0",ttype:CONST},{input:"\\Sigma",tag:"mo",output:"\u03A3",ttype:CONST},{input:"\\Upsilon",tag:"mo",output:"\u03A5",ttype:CONST},{input:"\\Phi",tag:"mo",output:"\u03A6",ttype:CONST},{input:"\\Psi",tag:"mo",output:"\u03A8",ttype:CONST},{input:"\\Omega",tag:"mo",output:"\u03A9",ttype:CONST},{input:"\\frac12",tag:"mo",output:"\u00BD",ttype:CONST},{input:"\\frac14",tag:"mo",output:"\u00BC",ttype:CONST},{input:"\\frac34",tag:"mo",output:"\u00BE",ttype:CONST},{input:"\\frac13",tag:"mo",output:"\u2153",ttype:CONST},{input:"\\frac23",tag:"mo",output:"\u2154",ttype:CONST},{input:"\\frac15",tag:"mo",output:"\u2155",ttype:CONST},{input:"\\frac25",tag:"mo",output:"\u2156",ttype:CONST},{input:"\\frac35",tag:"mo",output:"\u2157",ttype:CONST},{input:"\\frac45",tag:"mo",output:"\u2158",ttype:CONST},{input:"\\frac16",tag:"mo",output:"\u2159",ttype:CONST},{input:"\\frac56",tag:"mo",output:"\u215A",ttype:CONST},{input:"\\frac18",tag:"mo",output:"\u215B",ttype:CONST},{input:"\\frac38",tag:"mo",output:"\u215C",ttype:CONST},{input:"\\frac58",tag:"mo",output:"\u215D",ttype:CONST},{input:"\\frac78",tag:"mo",output:"\u215E",ttype:CONST},{input:"\\pm",tag:"mo",output:"\u00B1",ttype:CONST},{input:"\\mp",tag:"mo",output:"\u2213",ttype:CONST},{input:"\\triangleleft",tag:"mo",output:"\u22B2",ttype:CONST},{input:"\\triangleright",tag:"mo",output:"\u22B3",ttype:CONST},{input:"\\cdot",tag:"mo",output:"\u22C5",ttype:CONST},{input:"\\star",tag:"mo",output:"\u22C6",ttype:CONST},{input:"\\ast",tag:"mo",output:"\u002A",ttype:CONST},{input:"\\times",tag:"mo",output:"\u00D7",ttype:CONST},{input:"\\div",tag:"mo",output:"\u00F7",ttype:CONST},{input:"\\circ",tag:"mo",output:"\u2218",ttype:CONST},{input:"\\bullet",tag:"mo",output:"\u2022",ttype:CONST},{input:"\\oplus",tag:"mo",output:"\u2295",ttype:CONST},{input:"\\ominus",tag:"mo",output:"\u2296",ttype:CONST},{input:"\\otimes",tag:"mo",output:"\u2297",ttype:CONST},{input:"\\bigcirc",tag:"mo",output:"\u25CB",ttype:CONST},{input:"\\oslash",tag:"mo",output:"\u2298",ttype:CONST},{input:"\\odot",tag:"mo",output:"\u2299",ttype:CONST},{input:"\\land",tag:"mo",output:"\u2227",ttype:CONST},{input:"\\wedge",tag:"mo",output:"\u2227",ttype:CONST},{input:"\\lor",tag:"mo",output:"\u2228",ttype:CONST},{input:"\\vee",tag:"mo",output:"\u2228",ttype:CONST},{input:"\\cap",tag:"mo",output:"\u2229",ttype:CONST},{input:"\\cup",tag:"mo",output:"\u222A",ttype:CONST},{input:"\\sqcap",tag:"mo",output:"\u2293",ttype:CONST},{input:"\\sqcup",tag:"mo",output:"\u2294",ttype:CONST},{input:"\\uplus",tag:"mo",output:"\u228E",ttype:CONST},{input:"\\amalg",tag:"mo",output:"\u2210",ttype:CONST},{input:"\\bigtriangleup",tag:"mo",output:"\u25B3",ttype:CONST},{input:"\\bigtriangledown",tag:"mo",output:"\u25BD",ttype:CONST},{input:"\\dag",tag:"mo",output:"\u2020",ttype:CONST},{input:"\\dagger",tag:"mo",output:"\u2020",ttype:CONST},{input:"\\ddag",tag:"mo",output:"\u2021",ttype:CONST},{input:"\\ddagger",tag:"mo",output:"\u2021",ttype:CONST},{input:"\\lhd",tag:"mo",output:"\u22B2",ttype:CONST},{input:"\\rhd",tag:"mo",output:"\u22B3",ttype:CONST},{input:"\\unlhd",tag:"mo",output:"\u22B4",ttype:CONST},{input:"\\unrhd",tag:"mo",output:"\u22B5",ttype:CONST},{input:"\\sum",tag:"mo",output:"\u2211",ttype:UNDEROVER},{input:"\\prod",tag:"mo",output:"\u220F",ttype:UNDEROVER},{input:"\\bigcap",tag:"mo",output:"\u22C2",ttype:UNDEROVER},{input:"\\bigcup",tag:"mo",output:"\u22C3",ttype:UNDEROVER},{input:"\\bigwedge",tag:"mo",output:"\u22C0",ttype:UNDEROVER},{input:"\\bigvee",tag:"mo",output:"\u22C1",ttype:UNDEROVER},{input:"\\bigsqcap",tag:"mo",output:"\u2A05",ttype:UNDEROVER},{input:"\\bigsqcup",tag:"mo",output:"\u2A06",ttype:UNDEROVER},{input:"\\coprod",tag:"mo",output:"\u2210",ttype:UNDEROVER},{input:"\\bigoplus",tag:"mo",output:"\u2A01",ttype:UNDEROVER},{input:"\\bigotimes",tag:"mo",output:"\u2A02",ttype:UNDEROVER},{input:"\\bigodot",tag:"mo",output:"\u2A00",ttype:UNDEROVER},{input:"\\biguplus",tag:"mo",output:"\u2A04",ttype:UNDEROVER},{input:"\\int",tag:"mo",output:"\u222B",ttype:CONST},{input:"\\oint",tag:"mo",output:"\u222E",ttype:CONST},{input:":=",tag:"mo",output:":=",ttype:CONST},{input:"\\lt",tag:"mo",output:"<",ttype:CONST},{input:"\\gt",tag:"mo",output:">",ttype:CONST},{input:"\\ne",tag:"mo",output:"\u2260",ttype:CONST},{input:"\\neq",tag:"mo",output:"\u2260",ttype:CONST},{input:"\\le",tag:"mo",output:"\u2264",ttype:CONST},{input:"\\leq",tag:"mo",output:"\u2264",ttype:CONST},{input:"\\leqslant",tag:"mo",output:"\u2264",ttype:CONST},{input:"\\ge",tag:"mo",output:"\u2265",ttype:CONST},{input:"\\geq",tag:"mo",output:"\u2265",ttype:CONST},{input:"\\geqslant",tag:"mo",output:"\u2265",ttype:CONST},{input:"\\equiv",tag:"mo",output:"\u2261",ttype:CONST},{input:"\\ll",tag:"mo",output:"\u226A",ttype:CONST},{input:"\\gg",tag:"mo",output:"\u226B",ttype:CONST},{input:"\\doteq",tag:"mo",output:"\u2250",ttype:CONST},{input:"\\prec",tag:"mo",output:"\u227A",ttype:CONST},{input:"\\succ",tag:"mo",output:"\u227B",ttype:CONST},{input:"\\preceq",tag:"mo",output:"\u227C",ttype:CONST},{input:"\\succeq",tag:"mo",output:"\u227D",ttype:CONST},{input:"\\subset",tag:"mo",output:"\u2282",ttype:CONST},{input:"\\supset",tag:"mo",output:"\u2283",ttype:CONST},{input:"\\subseteq",tag:"mo",output:"\u2286",ttype:CONST},{input:"\\supseteq",tag:"mo",output:"\u2287",ttype:CONST},{input:"\\sqsubset",tag:"mo",output:"\u228F",ttype:CONST},{input:"\\sqsupset",tag:"mo",output:"\u2290",ttype:CONST},{input:"\\sqsubseteq",tag:"mo",output:"\u2291",ttype:CONST},{input:"\\sqsupseteq",tag:"mo",output:"\u2292",ttype:CONST},{input:"\\sim",tag:"mo",output:"\u223C",ttype:CONST},{input:"\\simeq",tag:"mo",output:"\u2243",ttype:CONST},{input:"\\approx",tag:"mo",output:"\u2248",ttype:CONST},{input:"\\cong",tag:"mo",output:"\u2245",ttype:CONST},{input:"\\Join",tag:"mo",output:"\u22C8",ttype:CONST},{input:"\\bowtie",tag:"mo",output:"\u22C8",ttype:CONST},{input:"\\in",tag:"mo",output:"\u2208",ttype:CONST},{input:"\\ni",tag:"mo",output:"\u220B",ttype:CONST},{input:"\\owns",tag:"mo",output:"\u220B",ttype:CONST},{input:"\\propto",tag:"mo",output:"\u221D",ttype:CONST},{input:"\\vdash",tag:"mo",output:"\u22A2",ttype:CONST},{input:"\\dashv",tag:"mo",output:"\u22A3",ttype:CONST},{input:"\\models",tag:"mo",output:"\u22A8",ttype:CONST},{input:"\\perp",tag:"mo",output:"\u22A5",ttype:CONST},{input:"\\smile",tag:"mo",output:"\u2323",ttype:CONST},{input:"\\frown",tag:"mo",output:"\u2322",ttype:CONST},{input:"\\asymp",tag:"mo",output:"\u224D",ttype:CONST},{input:"\\notin",tag:"mo",output:"\u2209",ttype:CONST},{input:"\\begin{eqnarray}",output:"X",ttype:MATRIX,invisible:true},{input:"\\begin{array}",output:"X",ttype:MATRIX,invisible:true},{input:"\\\\",output:"}&{",ttype:DEFINITION},{input:"\\end{eqnarray}",output:"}}",ttype:DEFINITION},{input:"\\end{array}",output:"}}",ttype:DEFINITION},{input:"\\big",tag:"mo",output:"X",atval:"1.2",ieval:"2.2",ttype:BIG},{input:"\\Big",tag:"mo",output:"X",atval:"1.6",ieval:"2.6",ttype:BIG},{input:"\\bigg",tag:"mo",output:"X",atval:"2.2",ieval:"3.2",ttype:BIG},{input:"\\Bigg",tag:"mo",output:"X",atval:"2.9",ieval:"3.9",ttype:BIG},{input:"\\left",tag:"mo",output:"X",ttype:LEFTBRACKET},{input:"\\right",tag:"mo",output:"X",ttype:RIGHTBRACKET},{input:"{",output:"{",ttype:LEFTBRACKET,invisible:true},{input:"}",output:"}",ttype:RIGHTBRACKET,invisible:true},{input:"(",tag:"mo",output:"(",atval:"1",ttype:STRETCHY},{input:"[",tag:"mo",output:"[",atval:"1",ttype:STRETCHY},{input:"\\lbrack",tag:"mo",output:"[",atval:"1",ttype:STRETCHY},{input:"\\{",tag:"mo",output:"{",atval:"1",ttype:STRETCHY},{input:"\\lbrace",tag:"mo",output:"{",atval:"1",ttype:STRETCHY},{input:"\\langle",tag:"mo",output:"\u2329",atval:"1",ttype:STRETCHY},{input:"\\lfloor",tag:"mo",output:"\u230A",atval:"1",ttype:STRETCHY},{input:"\\lceil",tag:"mo",output:"\u2308",atval:"1",ttype:STRETCHY},{input:")",tag:"mo",output:")",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"]",tag:"mo",output:"]",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rbrack",tag:"mo",output:"]",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\}",tag:"mo",output:"}",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rbrace",tag:"mo",output:"}",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rangle",tag:"mo",output:"\u232A",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rfloor",tag:"mo",output:"\u230B",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rceil",tag:"mo",output:"\u2309",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"|",tag:"mo",output:"\u2223",atval:"1",ttype:STRETCHY},{input:"\\|",tag:"mo",output:"\u2225",atval:"1",ttype:STRETCHY},{input:"\\vert",tag:"mo",output:"\u2223",atval:"1",ttype:STRETCHY},{input:"\\Vert",tag:"mo",output:"\u2225",atval:"1",ttype:STRETCHY},{input:"\\mid",tag:"mo",output:"\u2223",atval:"1",ttype:STRETCHY},{input:"\\parallel",tag:"mo",output:"\u2225",atval:"1",ttype:STRETCHY},{input:"/",tag:"mo",output:"/",atval:"1.01",ttype:STRETCHY},{input:"\\backslash",tag:"mo",output:"\u2216",atval:"1",ttype:STRETCHY},{input:"\\setminus",tag:"mo",output:"\\",ttype:CONST},{input:"\\!",tag:"mspace",atname:"width",atval:"-0.167em",ttype:SPACE},{input:"\\,",tag:"mspace",atname:"width",atval:"0.167em",ttype:SPACE},{input:"\\>",tag:"mspace",atname:"width",atval:"0.222em",ttype:SPACE},{input:"\\:",tag:"mspace",atname:"width",atval:"0.222em",ttype:SPACE},{input:"\\;",tag:"mspace",atname:"width",atval:"0.278em",ttype:SPACE},{input:"~",tag:"mspace",atname:"width",atval:"0.333em",ttype:SPACE},{input:"\\quad",tag:"mspace",atname:"width",atval:"1em",ttype:SPACE},{input:"\\qquad",tag:"mspace",atname:"width",atval:"2em",ttype:SPACE},{input:"\\prime",tag:"mo",output:"\u2032",ttype:CONST},{input:"'",tag:"mo",output:"\u02B9",ttype:CONST},{input:"''",tag:"mo",output:"\u02BA",ttype:CONST},{input:"'''",tag:"mo",output:"\u2034",ttype:CONST},{input:"''''",tag:"mo",output:"\u2057",ttype:CONST},{input:"\\ldots",tag:"mo",output:"\u2026",ttype:CONST},{input:"\\cdots",tag:"mo",output:"\u22EF",ttype:CONST},{input:"\\vdots",tag:"mo",output:"\u22EE",ttype:CONST},{input:"\\ddots",tag:"mo",output:"\u22F1",ttype:CONST},{input:"\\forall",tag:"mo",output:"\u2200",ttype:CONST},{input:"\\exists",tag:"mo",output:"\u2203",ttype:CONST},{input:"\\Re",tag:"mo",output:"\u211C",ttype:CONST},{input:"\\Im",tag:"mo",output:"\u2111",ttype:CONST},{input:"\\aleph",tag:"mo",output:"\u2135",ttype:CONST},{input:"\\hbar",tag:"mo",output:"\u210F",ttype:CONST},{input:"\\ell",tag:"mo",output:"\u2113",ttype:CONST},{input:"\\wp",tag:"mo",output:"\u2118",ttype:CONST},{input:"\\emptyset",tag:"mo",output:"\u2205",ttype:CONST},{input:"\\infty",tag:"mo",output:"\u221E",ttype:CONST},{input:"\\surd",tag:"mo",output:"\\sqrt{}",ttype:DEFINITION},{input:"\\partial",tag:"mo",output:"\u2202",ttype:CONST},{input:"\\nabla",tag:"mo",output:"\u2207",ttype:CONST},{input:"\\triangle",tag:"mo",output:"\u25B3",ttype:CONST},{input:"\\therefore",tag:"mo",output:"\u2234",ttype:CONST},{input:"\\angle",tag:"mo",output:"\u2220",ttype:CONST},{input:"\\diamond",tag:"mo",output:"\u22C4",ttype:CONST},{input:"\\Diamond",tag:"mo",output:"\u25C7",ttype:CONST},{input:"\\neg",tag:"mo",output:"\u00AC",ttype:CONST},{input:"\\lnot",tag:"mo",output:"\u00AC",ttype:CONST},{input:"\\bot",tag:"mo",output:"\u22A5",ttype:CONST},{input:"\\top",tag:"mo",output:"\u22A4",ttype:CONST},{input:"\\square",tag:"mo",output:"\u25AB",ttype:CONST},{input:"\\Box",tag:"mo",output:"\u25A1",ttype:CONST},{input:"\\wr",tag:"mo",output:"\u2240",ttype:CONST},{input:"\\arccos",tag:"mi",output:"arccos",ttype:UNARY,func:true},{input:"\\arcsin",tag:"mi",output:"arcsin",ttype:UNARY,func:true},{input:"\\arctan",tag:"mi",output:"arctan",ttype:UNARY,func:true},{input:"\\arg",tag:"mi",output:"arg",ttype:UNARY,func:true},{input:"\\cos",tag:"mi",output:"cos",ttype:UNARY,func:true},{input:"\\cosh",tag:"mi",output:"cosh",ttype:UNARY,func:true},{input:"\\cot",tag:"mi",output:"cot",ttype:UNARY,func:true},{input:"\\coth",tag:"mi",output:"coth",ttype:UNARY,func:true},{input:"\\csc",tag:"mi",output:"csc",ttype:UNARY,func:true},{input:"\\deg",tag:"mi",output:"deg",ttype:UNARY,func:true},{input:"\\det",tag:"mi",output:"det",ttype:UNARY,func:true},{input:"\\dim",tag:"mi",output:"dim",ttype:UNARY,func:true},{input:"\\exp",tag:"mi",output:"exp",ttype:UNARY,func:true},{input:"\\gcd",tag:"mi",output:"gcd",ttype:UNARY,func:true},{input:"\\hom",tag:"mi",output:"hom",ttype:UNARY,func:true},{input:"\\inf",tag:"mo",output:"inf",ttype:UNDEROVER},{input:"\\ker",tag:"mi",output:"ker",ttype:UNARY,func:true},{input:"\\lg",tag:"mi",output:"lg",ttype:UNARY,func:true},{input:"\\lim",tag:"mo",output:"lim",ttype:UNDEROVER},{input:"\\liminf",tag:"mo",output:"liminf",ttype:UNDEROVER},{input:"\\limsup",tag:"mo",output:"limsup",ttype:UNDEROVER},{input:"\\ln",tag:"mi",output:"ln",ttype:UNARY,func:true},{input:"\\log",tag:"mi",output:"log",ttype:UNARY,func:true},{input:"\\max",tag:"mo",output:"max",ttype:UNDEROVER},{input:"\\min",tag:"mo",output:"min",ttype:UNDEROVER},{input:"\\Pr",tag:"mi",output:"Pr",ttype:UNARY,func:true},{input:"\\sec",tag:"mi",output:"sec",ttype:UNARY,func:true},{input:"\\sin",tag:"mi",output:"sin",ttype:UNARY,func:true},{input:"\\sinh",tag:"mi",output:"sinh",ttype:UNARY,func:true},{input:"\\sup",tag:"mo",output:"sup",ttype:UNDEROVER},{input:"\\tan",tag:"mi",output:"tan",ttype:UNARY,func:true},{input:"\\tanh",tag:"mi",output:"tanh",ttype:UNARY,func:true},{input:"\\gets",tag:"mo",output:"\u2190",ttype:CONST},{input:"\\leftarrow",tag:"mo",output:"\u2190",ttype:CONST},{input:"\\to",tag:"mo",output:"\u2192",ttype:CONST},{input:"\\rightarrow",tag:"mo",output:"\u2192",ttype:CONST},{input:"\\leftrightarrow",tag:"mo",output:"\u2194",ttype:CONST},{input:"\\uparrow",tag:"mo",output:"\u2191",ttype:CONST},{input:"\\downarrow",tag:"mo",output:"\u2193",ttype:CONST},{input:"\\updownarrow",tag:"mo",output:"\u2195",ttype:CONST},{input:"\\Leftarrow",tag:"mo",output:"\u21D0",ttype:CONST},{input:"\\Rightarrow",tag:"mo",output:"\u21D2",ttype:CONST},{input:"\\Leftrightarrow",tag:"mo",output:"\u21D4",ttype:CONST},{input:"\\iff",tag:"mo",output:"~\\Longleftrightarrow~",ttype:DEFINITION},{input:"\\Uparrow",tag:"mo",output:"\u21D1",ttype:CONST},{input:"\\Downarrow",tag:"mo",output:"\u21D3",ttype:CONST},{input:"\\Updownarrow",tag:"mo",output:"\u21D5",ttype:CONST},{input:"\\mapsto",tag:"mo",output:"\u21A6",ttype:CONST},{input:"\\longleftarrow",tag:"mo",output:"\u2190",ttype:LONG},{input:"\\longrightarrow",tag:"mo",output:"\u2192",ttype:LONG},{input:"\\longleftrightarrow",tag:"mo",output:"\u2194",ttype:LONG},{input:"\\Longleftarrow",tag:"mo",output:"\u21D0",ttype:LONG},{input:"\\Longrightarrow",tag:"mo",output:"\u21D2",ttype:LONG},{input:"\\implies",tag:"mo",output:"\u21D2",ttype:LONG},{input:"\\Longleftrightarrow",tag:"mo",output:"\u21D4",ttype:LONG},{input:"\\longmapsto",tag:"mo",output:"\u21A6",ttype:CONST},{input:"\\sqrt",tag:"msqrt",output:"sqrt",ttype:UNARY},{input:"\\root",tag:"mroot",output:"root",ttype:BINARY},{input:"\\frac",tag:"mfrac",output:"/",ttype:BINARY},{input:"\\stackrel",tag:"mover",output:"stackrel",ttype:BINARY},{input:"\\atop",tag:"mfrac",output:"",ttype:INFIX},{input:"\\choose",tag:"mfrac",output:"",ttype:INFIX},{input:"_",tag:"msub",output:"_",ttype:INFIX},{input:"^",tag:"msup",output:"^",ttype:INFIX},{input:"\\mathrm",tag:"mtext",output:"text",ttype:TEXT},{input:"\\mbox",tag:"mtext",output:"mbox",ttype:TEXT},{input:"\\acute",tag:"mover",output:"\u00B4",ttype:UNARY,acc:true},{input:"\\grave",tag:"mover",output:"\u0060",ttype:UNARY,acc:true},{input:"\\breve",tag:"mover",output:"\u02D8",ttype:UNARY,acc:true},{input:"\\check",tag:"mover",output:"\u02C7",ttype:UNARY,acc:true},{input:"\\dot",tag:"mover",output:".",ttype:UNARY,acc:true},{input:"\\ddot",tag:"mover",output:"..",ttype:UNARY,acc:true},{input:"\\mathring",tag:"mover",output:"\u00B0",ttype:UNARY,acc:true},{input:"\\vec",tag:"mover",output:"\u20D7",ttype:UNARY,acc:true},{input:"\\overrightarrow",tag:"mover",output:"\u20D7",ttype:UNARY,acc:true},{input:"\\overleftarrow",tag:"mover",output:"\u20D6",ttype:UNARY,acc:true},{input:"\\hat",tag:"mover",output:"\u005E",ttype:UNARY,acc:true},{input:"\\widehat",tag:"mover",output:"\u0302",ttype:UNARY,acc:true},{input:"\\tilde",tag:"mover",output:"~",ttype:UNARY,acc:true},{input:"\\widetilde",tag:"mover",output:"\u02DC",ttype:UNARY,acc:true},{input:"\\bar",tag:"mover",output:"\u203E",ttype:UNARY,acc:true},{input:"\\overbrace",tag:"mover",output:"\u23B4",ttype:UNARY,acc:true},{input:"\\overline",tag:"mover",output:"\u00AF",ttype:UNARY,acc:true},{input:"\\underbrace",tag:"munder",output:"\u23B5",ttype:UNARY,acc:true},{input:"\\underline",tag:"munder",output:"\u00AF",ttype:UNARY,acc:true},{input:"\\displaystyle",tag:"mstyle",atname:"displaystyle",atval:"true",ttype:UNARY},{input:"\\textstyle",tag:"mstyle",atname:"displaystyle",atval:"false",ttype:UNARY},{input:"\\scriptstyle",tag:"mstyle",atname:"scriptlevel",atval:"1",ttype:UNARY},{input:"\\scriptscriptstyle",tag:"mstyle",atname:"scriptlevel",atval:"2",ttype:UNARY},{input:"\\textrm",tag:"mstyle",output:"\\mathrm",ttype:DEFINITION},{input:"\\mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",ttype:UNARY},{input:"\\textbf",tag:"mstyle",atname:"mathvariant",atval:"bold",ttype:UNARY},{input:"\\mathit",tag:"mstyle",atname:"mathvariant",atval:"italic",ttype:UNARY},{input:"\\textit",tag:"mstyle",atname:"mathvariant",atval:"italic",ttype:UNARY},{input:"\\mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",ttype:UNARY},{input:"\\texttt",tag:"mstyle",atname:"mathvariant",atval:"monospace",ttype:UNARY},{input:"\\mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",ttype:UNARY},{input:"\\mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",ttype:UNARY,codes:AMbbb},{input:"\\mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",ttype:UNARY,codes:AMcal},{input:"\\mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",ttype:UNARY,codes:AMfrk}];var LMnames=[];function LMremoveCharsAndBlanks(str,n){var st;st=str.slice(n);for(var i=0;i<st.length&&st.charCodeAt(i)<=32;i=i+1);return st.slice(i);} -function LMgetSymbol(str){var k=0;var j=0;var mk;var st;var tagst;var match="";var more=true;for(var i=1;i<=str.length&&more;i++){st=str.slice(0,i);j=k;k=position(LMnames,st,j);if(k<LMnames.length&&str.slice(0,LMnames[k].length)==LMnames[k]){match=LMnames[k];mk=k;i=match.length;} -more=k<LMnames.length&&str.slice(0,LMnames[k].length)>=LMnames[k];} -LMpreviousSymbol=LMcurrentSymbol;if(match!=""){LMcurrentSymbol=LMsymbols[mk].ttype;return LMsymbols[mk];} -LMcurrentSymbol=CONST;k=1;st=str.slice(0,1);if("0"<=st&&st<="9")tagst="mn";else tagst=(("A">st||st>"Z")&&("a">st||st>"z")?"mo":"mi");return{input:st,tag:tagst,output:st,ttype:CONST};} -var LMpreviousSymbol,LMcurrentSymbol;function LMparseSexpr(str){var symbol,node,result,result2,i,st,newFrag=document.createDocumentFragment();str=LMremoveCharsAndBlanks(str,0);symbol=LMgetSymbol(str);if(symbol==null||symbol.ttype==RIGHTBRACKET) -return[null,str,null];if(symbol.ttype==DEFINITION){str=symbol.output+LMremoveCharsAndBlanks(str,symbol.input.length);symbol=LMgetSymbol(str);if(symbol==null||symbol.ttype==RIGHTBRACKET) -return[null,str,null];} -str=LMremoveCharsAndBlanks(str,symbol.input.length);switch(symbol.ttype){case SPACE:node=createMmlNode(symbol.tag);node.setAttribute(symbol.atname,symbol.atval);return[node,str,symbol.tag];case UNDEROVER:if(isIE){if(symbol.input.substr(0,4)=="\\big"){str="\\"+symbol.input.substr(4)+str;symbol=LMgetSymbol(str);symbol.ttype=UNDEROVER;str=LMremoveCharsAndBlanks(str,symbol.input.length);}} -return[createMmlNode(symbol.tag,document.createTextNode(symbol.output)),str,symbol.tag];case CONST:var output=symbol.output;if(isIE){if(symbol.input=="'") -output="\u2032";else if(symbol.input=="''") -output="\u2033";else if(symbol.input=="'''") -output="\u2033\u2032";else if(symbol.input=="''''") -output="\u2033\u2033";else if(symbol.input=="\\square") -output="\u25A1";else if(symbol.input.substr(0,5)=="\\frac"){var denom=symbol.input.substr(6,1);if(denom=="5"||denom=="6"){str=symbol.input.replace(/\\frac/,"\\frac ")+str;return[node,str,symbol.tag];}}} -node=createMmlNode(symbol.tag,document.createTextNode(output));return[node,str,symbol.tag];case LONG:node=createMmlNode(symbol.tag,document.createTextNode(symbol.output));node.setAttribute("minsize","1.5");node.setAttribute("maxsize","1.5");node=createMmlNode("mover",node);node.appendChild(createMmlNode("mspace"));return[node,str,symbol.tag];case STRETCHY:if(isIE&&symbol.input=="\\backslash") -symbol.output="\\";node=createMmlNode(symbol.tag,document.createTextNode(symbol.output));if(symbol.input=="|"||symbol.input=="\\vert"||symbol.input=="\\|"||symbol.input=="\\Vert"){node.setAttribute("lspace","0em");node.setAttribute("rspace","0em");} -node.setAttribute("maxsize",symbol.atval);if(symbol.rtag!=null) -return[node,str,symbol.rtag];else -return[node,str,symbol.tag];case BIG:var atval=symbol.atval;if(isIE) -atval=symbol.ieval;symbol=LMgetSymbol(str);if(symbol==null) -return[null,str,null];str=LMremoveCharsAndBlanks(str,symbol.input.length);node=createMmlNode(symbol.tag,document.createTextNode(symbol.output));if(isIE){var space=createMmlNode("mspace");space.setAttribute("height",atval+"ex");node=createMmlNode("mrow",node);node.appendChild(space);}else{node.setAttribute("minsize",atval);node.setAttribute("maxsize",atval);} -return[node,str,symbol.tag];case LEFTBRACKET:if(symbol.input=="\\left"){symbol=LMgetSymbol(str);if(symbol!=null){if(symbol.input==".") -symbol.invisible=true;str=LMremoveCharsAndBlanks(str,symbol.input.length);}} -result=LMparseExpr(str,true,false);if(symbol==null||(typeof symbol.invisible=="boolean"&&symbol.invisible)) -node=createMmlNode("mrow",result[0]);else{node=createMmlNode("mo",document.createTextNode(symbol.output));node=createMmlNode("mrow",node);node.appendChild(result[0]);} -return[node,result[1],result[2]];case MATRIX:if(symbol.input=="\\begin{array}"){var mask="";symbol=LMgetSymbol(str);str=LMremoveCharsAndBlanks(str,0);if(symbol==null) -mask="l";else{str=LMremoveCharsAndBlanks(str,symbol.input.length);if(symbol.input!="{") -mask="l";else do{symbol=LMgetSymbol(str);if(symbol!=null){str=LMremoveCharsAndBlanks(str,symbol.input.length);if(symbol.input!="}") -mask=mask+symbol.input;}}while(symbol!=null&&symbol.input!=""&&symbol.input!="}");} -result=LMparseExpr("{"+str,true,true);node=createMmlNode("mtable",result[0]);mask=mask.replace(/l/g,"left ");mask=mask.replace(/r/g,"right ");mask=mask.replace(/c/g,"center ");node.setAttribute("columnalign",mask);node.setAttribute("displaystyle","false");if(isIE) -return[node,result[1],null];var lspace=createMmlNode("mspace");lspace.setAttribute("width","0.167em");var rspace=createMmlNode("mspace");rspace.setAttribute("width","0.167em");var node1=createMmlNode("mrow",lspace);node1.appendChild(node);node1.appendChild(rspace);return[node1,result[1],null];}else{result=LMparseExpr("{"+str,true,true);node=createMmlNode("mtable",result[0]);if(isIE) -node.setAttribute("columnspacing","0.25em");else -node.setAttribute("columnspacing","0.167em");node.setAttribute("columnalign","right center left");node.setAttribute("displaystyle","true");node=createMmlNode("mrow",node);return[node,result[1],null];} -case TEXT:if(str.charAt(0)=="{")i=str.indexOf("}");else i=0;if(i==-1) -i=str.length;st=str.slice(1,i);if(st.charAt(0)==" "){node=createMmlNode("mspace");node.setAttribute("width","0.33em");newFrag.appendChild(node);} -newFrag.appendChild(createMmlNode(symbol.tag,document.createTextNode(st)));if(st.charAt(st.length-1)==" "){node=createMmlNode("mspace");node.setAttribute("width","0.33em");newFrag.appendChild(node);} -str=LMremoveCharsAndBlanks(str,i+1);return[createMmlNode("mrow",newFrag),str,null];case UNARY:result=LMparseSexpr(str);if(result[0]==null)return[createMmlNode(symbol.tag,document.createTextNode(symbol.output)),str];if(typeof symbol.func=="boolean"&&symbol.func){st=str.charAt(0);if(st=="^"||st=="_"||st==","){return[createMmlNode(symbol.tag,document.createTextNode(symbol.output)),str,symbol.tag];}else{node=createMmlNode("mrow",createMmlNode(symbol.tag,document.createTextNode(symbol.output)));if(isIE){var space=createMmlNode("mspace");space.setAttribute("width","0.167em");node.appendChild(space);} -node.appendChild(result[0]);return[node,result[1],symbol.tag];}} -if(symbol.input=="\\sqrt"){if(isIE){var space=createMmlNode("mspace");space.setAttribute("height","1.2ex");space.setAttribute("width","0em");node=createMmlNode(symbol.tag,result[0]) -node.appendChild(space);return[node,result[1],symbol.tag];}else -return[createMmlNode(symbol.tag,result[0]),result[1],symbol.tag];}else if(typeof symbol.acc=="boolean"&&symbol.acc){node=createMmlNode(symbol.tag,result[0]);var output=symbol.output;if(isIE){if(symbol.input=="\\hat") -output="\u0302";else if(symbol.input=="\\widehat") -output="\u005E";else if(symbol.input=="\\bar") -output="\u00AF";else if(symbol.input=="\\grave") -output="\u0300";else if(symbol.input=="\\tilde") -output="\u0303";} -var node1=createMmlNode("mo",document.createTextNode(output));if(symbol.input=="\\vec"||symbol.input=="\\check") -node1.setAttribute("maxsize","1.2");if(isIE&&symbol.input=="\\bar") -node1.setAttribute("maxsize","0.5");if(symbol.input=="\\underbrace"||symbol.input=="\\underline") -node1.setAttribute("accentunder","true");else -node1.setAttribute("accent","true");node.appendChild(node1);if(symbol.input=="\\overbrace"||symbol.input=="\\underbrace") -node.ttype=UNDEROVER;return[node,result[1],symbol.tag];}else{if(!isIE&&typeof symbol.codes!="undefined"){for(i=0;i<result[0].childNodes.length;i++) -if(result[0].childNodes[i].nodeName=="mi"||result[0].nodeName=="mi"){st=(result[0].nodeName=="mi"?result[0].firstChild.nodeValue:result[0].childNodes[i].firstChild.nodeValue);var newst=[];for(var j=0;j<st.length;j++) -if(st.charCodeAt(j)>64&&st.charCodeAt(j)<91)newst=newst+ -String.fromCharCode(symbol.codes[st.charCodeAt(j)-65]);else newst=newst+st.charAt(j);if(result[0].nodeName=="mi") -result[0]=createMmlNode("mo").appendChild(document.createTextNode(newst));else result[0].replaceChild(createMmlNode("mo").appendChild(document.createTextNode(newst)),result[0].childNodes[i]);}} -node=createMmlNode(symbol.tag,result[0]);node.setAttribute(symbol.atname,symbol.atval);if(symbol.input=="\\scriptstyle"||symbol.input=="\\scriptscriptstyle") -node.setAttribute("displaystyle","false");return[node,result[1],symbol.tag];} -case BINARY:result=LMparseSexpr(str);if(result[0]==null)return[createMmlNode("mo",document.createTextNode(symbol.input)),str,null];result2=LMparseSexpr(result[1]);if(result2[0]==null)return[createMmlNode("mo",document.createTextNode(symbol.input)),str,null];if(symbol.input=="\\root"||symbol.input=="\\stackrel") -newFrag.appendChild(result2[0]);newFrag.appendChild(result[0]);if(symbol.input=="\\frac")newFrag.appendChild(result2[0]);return[createMmlNode(symbol.tag,newFrag),result2[1],symbol.tag];case INFIX:str=LMremoveCharsAndBlanks(str,symbol.input.length);return[createMmlNode("mo",document.createTextNode(symbol.output)),str,symbol.tag];default:return[createMmlNode(symbol.tag,document.createTextNode(symbol.output)),str,symbol.tag];}} -function LMparseIexpr(str){var symbol,sym1,sym2,node,result,tag,underover;str=LMremoveCharsAndBlanks(str,0);sym1=LMgetSymbol(str);result=LMparseSexpr(str);node=result[0];str=result[1];tag=result[2];symbol=LMgetSymbol(str);if(symbol.ttype==INFIX){str=LMremoveCharsAndBlanks(str,symbol.input.length);result=LMparseSexpr(str);if(result[0]==null) -result[0]=createMmlNode("mo",document.createTextNode("\u25A1"));str=result[1];tag=result[2];if(symbol.input=="_"||symbol.input=="^"){sym2=LMgetSymbol(str);tag=null;underover=((sym1.ttype==UNDEROVER)||(node.ttype==UNDEROVER));if(symbol.input=="_"&&sym2.input=="^"){str=LMremoveCharsAndBlanks(str,sym2.input.length);var res2=LMparseSexpr(str);str=res2[1];tag=res2[2];node=createMmlNode((underover?"munderover":"msubsup"),node);node.appendChild(result[0]);node.appendChild(res2[0]);}else if(symbol.input=="_"){node=createMmlNode((underover?"munder":"msub"),node);node.appendChild(result[0]);}else{node=createMmlNode((underover?"mover":"msup"),node);node.appendChild(result[0]);} -node=createMmlNode("mrow",node);}else{node=createMmlNode(symbol.tag,node);if(symbol.input=="\\atop"||symbol.input=="\\choose") -node.setAttribute("linethickness","0ex");node.appendChild(result[0]);if(symbol.input=="\\choose") -node=createMmlNode("mfenced",node);}} -return[node,str,tag];} -function LMparseExpr(str,rightbracket,matrix){var symbol,node,result,i,tag,newFrag=document.createDocumentFragment();do{str=LMremoveCharsAndBlanks(str,0);result=LMparseIexpr(str);node=result[0];str=result[1];tag=result[2];symbol=LMgetSymbol(str);if(node!=undefined){if((tag=="mn"||tag=="mi")&&symbol!=null&&typeof symbol.func=="boolean"&&symbol.func){var space=createMmlNode("mspace");space.setAttribute("width","0.167em");node=createMmlNode("mrow",node);node.appendChild(space);} -newFrag.appendChild(node);}}while((symbol.ttype!=RIGHTBRACKET)&&symbol!=null&&symbol.output!="");tag=null;if(symbol.ttype==RIGHTBRACKET){if(symbol.input=="\\right"){str=LMremoveCharsAndBlanks(str,symbol.input.length);symbol=LMgetSymbol(str);if(symbol!=null&&symbol.input==".") -symbol.invisible=true;if(symbol!=null) -tag=symbol.rtag;} -if(symbol!=null) -str=LMremoveCharsAndBlanks(str,symbol.input.length);var len=newFrag.childNodes.length;if(matrix&&len>0&&newFrag.childNodes[len-1].nodeName=="mrow"&&len>1&&newFrag.childNodes[len-2].nodeName=="mo"&&newFrag.childNodes[len-2].firstChild.nodeValue=="&"){var pos=[];var m=newFrag.childNodes.length;for(i=0;matrix&&i<m;i=i+2){pos[i]=[];node=newFrag.childNodes[i];for(var j=0;j<node.childNodes.length;j++) -if(node.childNodes[j].firstChild.nodeValue=="&") -pos[i][pos[i].length]=j;} -var row,frag,n,k,table=document.createDocumentFragment();for(i=0;i<m;i=i+2){row=document.createDocumentFragment();frag=document.createDocumentFragment();node=newFrag.firstChild;n=node.childNodes.length;k=0;for(j=0;j<n;j++){if(typeof pos[i][k]!="undefined"&&j==pos[i][k]){node.removeChild(node.firstChild);row.appendChild(createMmlNode("mtd",frag));k++;}else frag.appendChild(node.firstChild);} -row.appendChild(createMmlNode("mtd",frag));if(newFrag.childNodes.length>2){newFrag.removeChild(newFrag.firstChild);newFrag.removeChild(newFrag.firstChild);} -table.appendChild(createMmlNode("mtr",row));} -return[table,str];} -if(typeof symbol.invisible!="boolean"||!symbol.invisible){node=createMmlNode("mo",document.createTextNode(symbol.output));newFrag.appendChild(node);}} -return[newFrag,str,tag];} -var tcnt=0,dcnt=0;function simpleLaTeXformatting(st){st=st.replace(/\$\$((.|\n)*?)\$\$/g,"<p align=\"center\">$\\displaystyle{$1}$</p>");st=st.replace(/\\begin{(theorem|lemma|proposition|corollary)}((.|\n)*?)\\end{\1}/g,function(r,s,t){tcnt++;return"<b>"+s.charAt(0).toUpperCase()+s.slice(1)+" "+tcnt+".</b> <i>"+t.replace(/^\s*<\/?\w+\/?>|\s*<\/?\w+\/?>$/g,"")+"</i>"});st=st.replace(/\\begin{(definition|example|remark|problem|exercise|conjecture|solution)}((.|\n)*?)\\end{\1}/g,function(r,s,t){dcnt++;return"<b>"+s.charAt(0).toUpperCase()+s.slice(1)+" "+dcnt+".</b> "+t.replace(/^\s*<\/?\w+\/?>|\s*<\/?\w+\/?>$/g,"")});st=st.replace(/\\begin{proof}((.|\n)*?)\\end{proof}/g,function(s,t){return"<i>Proof:</i> "+t.replace(/^\s*<\/?\w+\/?>|\s*<\/?\w+\/?>$/g,"")+" □"});st=st.replace(/\\emph{(.*?)}/g,"<em>$1</em>");st=st.replace(/\\textbf{(.*?)}/g,"<b>$1</b>");st=st.replace(/\\cite{(.*?)}/g,"[$1]");st=st.replace(/\\chapter{(.*?)}/g,"<h2>$1</h2>");st=st.replace(/\\section{(.*?)}(\s*<\/?(br|p)\s?\/?>)?/g,"<h3>$1</h3>");st=st.replace(/\\subsection{((.|\n)*?)}/g,"<h4>$1</h4>");st=st.replace(/\\begin{itemize}(\s*<\/?(br|p)\s?\/?>)?/g,"<ul>");st=st.replace(/\\item\s((.|\n)*?)(?=(\\item|\\end))/g,"<li>$1</li>");st=st.replace(/\\end{itemize}(\s*<\/?(br|p)\s?\/?>)?/g,"</ul>");st=st.replace(/\\begin{enumerate}(\s*<\/?(br|p)\s?\/?>)?/g,"<ol>");st=st.replace(/\\end{enumerate}(\s*<\/?(br|p)\s?\/?>)?/g,"</ol>");st=st.replace(/\\item\[(.*?)]{(.*?)}/g,"<dt>$1</dt><dd>$2</dd>");st=st.replace(/\\begin{description}/g,"<dl>");st=st.replace(/\\end{description}/g,"</dl>");st=st.replace(/\\newline\b/g,"<br/>");st=st.replace(/\\newpage\b/g,"<br style=\"page-break-after:always;\">");st=st.replace(/\\par\b/g,"<p> </p>");st=st.replace(/\\bigskip/g,"<p style=\"margin-bottom:0.5in\"> </p>");st=st.replace(/\\medskip/g,"<p style=\"margin-bottom:0.3in\"> </p>");st=st.replace(/\\smallskip/g,"<p style=\"margin-bottom:0.15in\"> </p>");st=st.replace(/\\begin{center}((.|\n)*?)\\end{center}/g,"<center>$1</center>");return st} -function ASCIIandgraphformatting(st){st=st.replace(/<sup>(.*?)<\/sup>(\s|(\S))/gi,"^{$1} $3");st=st.replace(/(Proof:)/g,"<i>$1</i>");st=st.replace(/QED/g," □");st=st.replace(/(\\?end{?a?math}?)/ig,"<span></span>$1");st=st.replace(/(\bamath\b|\\begin{a?math})/ig,"<span></span>$1");st=st.replace(/([>\n])(Theorem|Lemma|Proposition|Corollary|Definition|Example|Remark|Problem|Exercise|Conjecture|Solution)(:|\W\W?(\w|\s|-|\.)*?\W?:)/g,"$1<b>$2$3</b>");st=st.replace(/<embed\s+class\s?=\s?"?ASCIIsvg"?/gi,"<embed class=\"ASCIIsvg\" src=\""+dsvglocation+"d.svg\" wmode=\"transparent\"");st=st.replace(/(?:\\begin{a?graph}|\bagraph|\(:graph\s)((.|\n)*?)(?:\\end{a?graph}|enda?graph|:\))/g,function(s,t){return"<table><tr><td><div class=\"ASCIIsvg\"><embed class=\"ASCIIsvg\" src=\""+dsvglocation+"d.svg\" wmode=\"transparent\" script=\'"+t.replace(/<\/?(br|p|pre)\s?\/?>/gi,"\n")+"\'/></div></td></tr></table>"});st=st.replace(/insertASCIIMathCalculator/g,"<div class=\"ASCIIMathCalculator\"></div>");return st} -function LMprocessNode(n){var frag,st;try{st=n.innerHTML;}catch(err){} -var am=/amath\b|graph/i.test(st);if((st==null||st.indexOf("\$ ")!=-1||st.indexOf("\$<")!=-1||st.indexOf("\\begin")!=-1||am||st.slice(-1)=="$"||st.indexOf("\$\n")!=-1)&&!/edit-content|HTMLArea|wikiedit|wpTextbox1/.test(st)){if(!avoidinnerHTML&&translateLaTeXformatting) -st=simpleLaTeXformatting(st);if(st!=null&&am&&!avoidinnerHTML){st=ASCIIandgraphformatting(st);} -st=st.replace(/%7E/g,"~");if(!avoidinnerHTML)n.innerHTML=st;processNodeR(n,false,true);}} -var checkIfSVGavailable=true;var notifyIfNoSVG=true;var alertIfNoSVG=false;var noSVG=false;var defaultwidth=300;defaultheight=200;var defaultxmin=-5.5;defaultxmax=5.5;var defaultborder=0;border=defaultborder;var defaultstrokewidth="1";var defaultstroke="blue";var defaultstrokeopacity=1;var defaultstrokedasharray=null;var defaultfill="none";var defaultfillopacity=1;var defaultfontstyle="normal";var defaultfontfamily="times";var defaultfontsize="16";var defaultfontweight="normal";var defaultfontstroke="none";var defaultfontfill="none";var defaultmarker="none";var defaultendpoints="";var showcoordinates=true;var markerstrokewidth="1";var markerstroke="black";var markerfill="yellow";var markersize=4;var arrowfill=stroke;var dotradius=4;var ticklength=4;var axesstroke="black";var gridstroke="grey";var backgroundstyle="fill-opacity:0; fill:white";var singlelettersitalic=true;var picturepos=null;var xunitlength;var yunitlength;var origin=[0,0];var above="above";var below="below";var left="left";var right="right";var aboveleft="aboveleft";var aboveright="aboveright";var belowleft="belowleft";var belowright="belowright";var xmin,xmax,ymin,ymax,xscl,yscl,xgrid,ygrid,xtick,ytick,initialized;var strokewidth,strokedasharray,stroke,fill,strokeopacity,fillopacity;var fontstyle,fontfamily,fontsize,fontweight,fontstroke,fontfill;var marker,endpoints,dynamic={};var picture,svgpicture,doc,width,height;var isIE=document.createElementNS==null;var log=function(x){return ln(x)/ln(10)};var pi=Math.PI,e=Math.E,ln=Math.log,sqrt=Math.sqrt;var floor=Math.floor,ceil=Math.ceil,abs=Math.abs;var sin=Math.sin,cos=Math.cos,tan=Math.tan;var arcsin=Math.asin,arccos=Math.acos,arctan=Math.atan;var sec=function(x){return 1/Math.cos(x)};var csc=function(x){return 1/Math.sin(x)};var cot=function(x){return 1/Math.tan(x)};var arcsec=function(x){return arccos(1/x)};var arccsc=function(x){return arcsin(1/x)};var arccot=function(x){return arctan(1/x)};var sinh=function(x){return(Math.exp(x)-Math.exp(-x))/2};var cosh=function(x){return(Math.exp(x)+Math.exp(-x))/2};var tanh=function(x){return(Math.exp(x)-Math.exp(-x))/(Math.exp(x)+Math.exp(-x))};var sech=function(x){return 1/cosh(x)};var csch=function(x){return 1/sinh(x)};var coth=function(x){return 1/tanh(x)};var arcsinh=function(x){return ln(x+Math.sqrt(x*x+1))};var arccosh=function(x){return ln(x+Math.sqrt(x*x-1))};var arctanh=function(x){return ln((1+x)/(1-x))/2};var sech=function(x){return 1/cosh(x)};var csch=function(x){return 1/sinh(x)};var coth=function(x){return 1/tanh(x)};var arcsech=function(x){return arccosh(1/x)};var arccsch=function(x){return arcsinh(1/x)};var arccoth=function(x){return arctanh(1/x)};var sign=function(x){return(x==0?0:(x<0?-1:1))};function factorial(x,n){if(n==null)n=1;if(Math.abs(x-Math.round(x*1000000)/1000000)<1e-15) -x=Math.round(x*1000000)/1000000;if(x-Math.floor(x)!=0)return NaN;for(var i=x-n;i>0;i-=n)x*=i;return(x<0?NaN:(x==0?1:x));} -function C(x,k){var res=1;for(var i=0;i<k;i++)res*=(x-i)/(k-i);return res;} -function chop(x,n){if(n==null)n=0;return Math.floor(x*Math.pow(10,n))/Math.pow(10,n);} -function ran(a,b,n){if(n==null)n=0;return chop((b+Math.pow(10,-n)-a)*Math.random()+a,n);} -function myCreateElementSVG(t){if(isIE)return doc.createElement(t);else return doc.createElementNS("http://www.w3.org/2000/svg",t);} -function getElementsByClass(container,tagName,clsName){var list=new Array(0);var collection=container.getElementsByTagName(tagName);for(var i=0;i<collection.length;i++) -if(collection[i].className.slice(0,clsName.length)==clsName) -list[list.length]=collection[i];return list;} -function showobj(obj){var st="",i;for(i in obj) -st+=(obj.getAttribute(i)==null?"":" "+i+":"+obj.getAttribute(i));return st;} -function findPos(obj){var curleft=curtop=0;if(obj.offsetParent){curleft=obj.offsetLeft -curtop=obj.offsetTop -while(obj=obj.offsetParent){curleft+=obj.offsetLeft -curtop+=obj.offsetTop}} -return[curleft,curtop];} -function checkSVG(){if(navigator.appName.slice(0,8)=="Netscape") -if(window['SVGElement'])noSVG=null;else noSVG=true;else if(navigator.appName.slice(0,9)=="Microsoft") -try{var oSVG=eval("new ActiveXObject('Adobe.SVGCtl.3');");noSVG=null;}catch(e){noSVG=true;} -else if(navigator.appName.slice(0,5)=="Opera") -noSVG=null;else noSVG=true;if(noSVG&¬ifyIfNoSVG){var msg="To view the ASCIIsvg images use Internet Explorer + Adobe SVGviewer or Mozilla Firefox 2.0 or later." -if(alertIfNoSVG) -alert(msg);else return msg;}} -function setText(st,id){var node=document.getElementById(id);if(node!=null) -if(node.childNodes.length!=0)node.childNodes[0].nodeValue=st;else node.appendChild(document.createTextNode(st));} -function getX(evt){var svgroot=evt.target.parentNode;pos=findPos(svgroot.parentNode);return(evt.clientX+(isIE?0:window.pageXOffset)-pos[0]-svgroot.getAttribute("ox"))/parseFloat(svgroot.getAttribute("xunitlength"));} -function getY(evt){var svgroot=evt.target.parentNode;pos=findPos(svgroot.parentNode);return(svgroot.getAttribute("height")-svgroot.getAttribute("oy")-(evt.clientY+(isIE?0:window.pageYOffset)-pos[1]))/parseFloat(svgroot.getAttribute("yunitlength"));} -function translateandeval(src){var errstr;src=src.replace(/plot\(\x20*([^\"f\[][^\n\r;]+?)\,/g,"plot\(\"$1\",");src=src.replace(/plot\(\x20*([^\"f\[][^\n\r;]+)\)/g,"plot(\"$1\")");src=src.replace(/([=[(,]\x20*)\(([-a-z0-9./+*]+?),([-a-z0-9./+*]+?)\)/g,"$1[$2,$3]");src=src.replace(/([0-9])([a-df-zA-Z]|e^)/g,"$1*$2");src=src.replace(/\)([\(0-9a-zA-Z])/g,"\)*$1");try{with(Math)eval(src);}catch(err){if(err!="wait"){if(typeof err=="object") -errstr=err.name+" "+err.message+" "+err.number+" "+err.description;else errstr=err;alert(errstr+"\n"+src)}}} -var lastSlot=0;function drawPictures(){var src,id,dsvg,nd,node,ht,index,cols,arr,i,node2;var ASbody=document.getElementsByTagName("body")[0];pictures=getElementsByClass(ASbody,"embed","ASCIIsvg");var len=pictures.length;if(len==0)return;for(index=lastSlot;index<len+lastSlot;index++){width=null;height=null;xmin=null;xmax=null;ymin=null;ymax=null;xscl=null;xgrid=null;yscl=null;ygrid=null;initialized=false;picture=pictures[index-lastSlot];src=picture.getAttribute("script");if(src==null)src="";if(!/axes\b|initPicture/.test(src)){var i=0;while(/((yscl|ymax|ymin|xscl|xmax|xmin|\bwidth|\bheight)\s*=\s*-?\d*(\d\.|\.\d|\d)\d*\s*;?)/.test(src.slice(i)))i++;src=(i==0?"axes(); "+src:src.slice(0,i)+src.slice(i).replace(/((scl|max|min|idth|eight)\s*=\s*-?\d*(\d\.|\.\d|\d)\d*\s*;?)/,"$1\naxes();"));} -ht=picture.getAttribute("height");if(isIE){picture.setAttribute("wmode","transparent");} -if(document.getElementById("picture"+(index+1)+"mml")==null){picture.parentNode.style.position="relative";node=createElementXHTML("div");node.style.position="absolute";node.style.top="0px";node.style.left="0px";node.setAttribute("id","picture"+(index+1)+"mml");picture.parentNode.insertBefore(node,picture.nextSibling);} -if(ht==null)ht="";if(ht==""||src=="") -if(document.getElementById("picture"+(index+1)+"input")==null){node=createElementXHTML("textarea");arr=src.split("\n");cols=0;for(i=0;i<arr.length;i++)cols=Math.max(cols,arr[i].length);node.setAttribute("rows",Math.min(10,arr.length)+1);node.setAttribute("cols",Math.max(Math.min(60,cols),20)+5);if(isIE)src=src.replace(/([^\r])\n/g,"$1\r");node.appendChild(document.createTextNode(src));if(src.indexOf("showcode()")==-1)node.style.display="none";node.setAttribute("id","picture"+(index+1)+"input");picture.parentNode.insertBefore(node,picture.nextSibling);picture.parentNode.insertBefore(createElementXHTML("br"),node);node2=createElementXHTML("button");node2.setAttribute("id","picture"+(index+1)+"button");if(isIE)node2.onclick=function(){updatePicture(this)};else node2.setAttribute("onclick","updatePicture(this)");node2.appendChild(document.createTextNode("Update"));if(src.indexOf("showcode()")==-1)node2.style.display="none";picture.parentNode.insertBefore(node2,node);picture.parentNode.insertBefore(createElementXHTML("br"),node);}else src=document.getElementById("picture"+(index+1)+"input").value;id=picture.getAttribute("id");dsvg=picture.getAttribute("src");if(id==null||id==""){id="picture"+(index+1);picture.setAttribute("id",id);} -translateandeval(src);} -lastSlot+=len;} -function setdefaults(){strokewidth=defaultstrokewidth;stroke=defaultstroke;strokeopacity=defaultstrokeopacity;strokedasharray=defaultstrokedasharray;fill=defaultfill;fillopacity=defaultfillopacity;fontstyle=defaultfontstyle;fontfamily=defaultfontfamily;fontsize=defaultfontsize;fontweight=defaultfontweight;fontstroke=defaultfontstroke;fontfill=defaultfontfill;marker=defaultmarker;endpoints=defaultendpoints;} -function switchTo(id){if(id==undefined)return;var name=id;if(typeof name!="string")name=id.target.parentNode.getAttribute("name");picture=document.getElementById(name);width=picture.getAttribute("width")-0;height=picture.getAttribute("height")-0;setdefaults();if((picture.nodeName=="EMBED"||picture.nodeName=="embed")&&isIE){svgpicture=picture.getSVGDocument().getElementById("root");doc=picture.getSVGDocument();}else{svgpicture=picture;doc=document;} -xunitlength=parseFloat(svgpicture.getAttribute("xunitlength"));yunitlength=parseFloat(svgpicture.getAttribute("yunitlength"));xmin=parseFloat(svgpicture.getAttribute("xmin"));xmax=parseFloat(svgpicture.getAttribute("xmax"));ymin=parseFloat(svgpicture.getAttribute("ymin"));ymax=parseFloat(svgpicture.getAttribute("ymax"));origin=[svgpicture.getAttribute("ox")-0,svgpicture.getAttribute("oy")-0];} -function updatePicture(obj){var node,src,id,top,left;if(typeof obj=="object")id=obj.id.slice(0,-6);else id=(typeof obj=="string"?obj:"picture"+(obj+1));src=document.getElementById(id+"input").value;xmin=null;xmax=null;ymin=null;ymax=null;xscl=null;xgrid=null;yscl=null;ygrid=null;initialized=false;picture=document.getElementById(id);translateandeval(src)} -function changepicturesize(evt,factor){var obj=evt.target;var name=obj.parentNode.getAttribute("name");var pic=document.getElementById(name);var src=document.getElementById(name+"input").value;if(!/height/.test(src))src="height=0; "+src;if(!/width/.test(src))src="width=0; "+src;src=src.replace(/width\s*=\s*\d+/,"width="+(factor*(pic.getAttribute("width")-0)));src=src.replace(/height\s*=\s*\d+/,"height="+(factor*(pic.getAttribute("height")-0)));document.getElementById(name+"input").value=src;updatePicture(name);} -function zoom(evt,factor){switchTo(evt);var obj=evt.target;var name=obj.parentNode.getAttribute("name");var pic=document.getElementById(name);var src=document.getElementById(name+"input").value;var xlen=(xmax-xmin)/2;var ylen=(ymax-ymin)/2;var xcen=getX(evt),ycen=getY(evt);if(!/ymax/.test(src))src="ymax=0; "+src;if(!/ymin/.test(src))src="ymin=0; "+src;if(!/xmax/.test(src))src="xmax=0; "+src;if(!/xmin/.test(src))src="xmin=0; "+src;src=src.replace(/xmin\s*=\s*[-\d.e]+/,"xmin="+(xcen-factor*xlen));src=src.replace(/xmax\s*=\s*[-\d.e]+/,"xmax="+(xcen+factor*xlen));src=src.replace(/ymin\s*=\s*[-\d.e]+/,"ymin="+(ycen-factor*ylen));src=src.replace(/ymax\s*=\s*[-\d.e]+/,"ymax="+(ycen+factor*ylen));document.getElementById(name+"input").value=src;updatePicture(name);} -var sinceFirstClick=0;var dblClkTimer;function timer(){if(sinceFirstClick<60){sinceFirstClick++;setTimeout("timer()",10);}else{clearTimeout(dblClkTimer);dblClkTimer="";}} -function mClick(evt){if(sinceFirstClick!=0){if(sinceFirstClick<=40){if(evt.shiftKey){if(evt.altKey)changepicturesize(evt,2);else zoom(evt,.5);}else if(evt.altKey)zoom(evt,2);else showHideCode(evt);clearTimeout(dblClkTimer);dblClkTimer="";}else{clearTimeout(dblClkTimer);sinceFirstClick=0;dblClkTimer=setTimeout("timer()",10);}}else{sinceFirstClick=0;dblClkTimer=setTimeout("timer()",10);}} -function showHideCode(evt){var obj=evt.target;var name=obj.parentNode.getAttribute("name");var node=document.getElementById(name+"input");node.style.display=(node.style.display=="none"?"":"none");var node=document.getElementById(name+"button");node.style.display=(node.style.display=="none"?"":"none");} -function showcode(){} -function setBorder(x){border=x} -function initPicture(x_min,x_max,y_min,y_max){if(!initialized){setdefaults();initialized=true;if(x_min!=null)xmin=x_min;if(x_max!=null)xmax=x_max;if(y_min!=null)ymin=y_min;if(y_max!=null)ymax=y_max;if(xmin==null)xmin=defaultxmin;if(xmax==null)xmax=defaultxmax;if(typeof xmin!="number"||typeof xmax!="number"||xmin>=xmax) -alert("Picture requires at least two numbers: xmin < xmax");else if(y_max!=null&&(typeof y_min!="number"||typeof y_max!="number"||y_min>=y_max)) -alert("initPicture(xmin,xmax,ymin,ymax) requires numbers ymin < ymax");else{if(width==null){width=picture.getAttribute("width");if(width==null||width=="")width=defaultwidth;} -picture.setAttribute("width",width);if(height==null){height=picture.getAttribute("height");if(height==null||height=="")height=defaultheight;} -picture.setAttribute("height",height);xunitlength=(width-2*border)/(xmax-xmin);yunitlength=xunitlength;if(ymin==null){origin=[-xmin*xunitlength+border,height/2];ymin=-(height-2*border)/(2*yunitlength);ymax=-ymin;}else{if(ymax!=null)yunitlength=(height-2*border)/(ymax-ymin);else ymax=(height-2*border)/yunitlength+ymin;origin=[-xmin*xunitlength+border,-ymin*yunitlength+border];} -if(isIE){if(picture.FULLSCREEN==undefined){setTimeout('drawPictures()',50);throw"wait";} -svgpicture=picture.getSVGDocument().getElementById("root");if(svgpicture==null){setTimeout('drawPictures()',50);throw"wait";} -svgpicture=picture.getSVGDocument().getElementById("root");while(svgpicture.childNodes.length>0) -svgpicture.removeChild(svgpicture.lastChild);svgpicture.setAttribute("width",width);svgpicture.setAttribute("height",height);svgpicture.setAttribute("name",picture.getAttribute("id"));doc=picture.getSVGDocument();}else{var qnode=document.createElementNS("http://www.w3.org/2000/svg","svg");qnode.setAttribute("id",picture.getAttribute("id"));qnode.setAttribute("name",picture.getAttribute("id"));qnode.setAttribute("width",picture.getAttribute("width"));qnode.setAttribute("height",picture.getAttribute("height"));picturepos=findPos(picture);if(picture.parentNode!=null){picture.parentNode.replaceChild(qnode,picture);}else{svgpicture.parentNode.replaceChild(qnode,svgpicture);} -svgpicture=qnode;doc=document;} -var nd=document.getElementById(picture.getAttribute("id")+"mml");if(nd!=null) -while(nd.childNodes.length>0)nd.removeChild(nd.lastChild);svgpicture.setAttribute("xunitlength",xunitlength);svgpicture.setAttribute("yunitlength",yunitlength);svgpicture.setAttribute("xmin",xmin);svgpicture.setAttribute("xmax",xmax);svgpicture.setAttribute("ymin",ymin);svgpicture.setAttribute("ymax",ymax);svgpicture.setAttribute("ox",origin[0]);svgpicture.setAttribute("oy",origin[1]);var node=myCreateElementSVG("rect");node.setAttribute("x","0");node.setAttribute("y","0");node.setAttribute("width",width);node.setAttribute("height",height);node.setAttribute("style",backgroundstyle);svgpicture.appendChild(node);svgpicture.setAttribute("onmousemove","displayCoord(evt)");svgpicture.setAttribute("onmouseout","removeCoord(evt)");svgpicture.setAttribute("onclick","mClick(evt)");node=myCreateElementSVG("text");node.appendChild(doc.createTextNode(" "));node.setAttribute("id","coords");svgpicture.appendChild(node);node=myCreateElementSVG("text");node.appendChild(doc.createTextNode(" "));node.setAttribute("id","coords");svgpicture.appendChild(node);border=defaultborder;}}} -function line(p,q,id,endpts){var node;if(id!=null)node=doc.getElementById(id);if(node==null){node=myCreateElementSVG("path");node.setAttribute("id",id);svgpicture.appendChild(node);} -node.setAttribute("d","M"+(p[0]*xunitlength+origin[0])+","+ -(height-p[1]*yunitlength-origin[1])+" "+ -(q[0]*xunitlength+origin[0])+","+(height-q[1]*yunitlength-origin[1]));node.setAttribute("stroke-width",strokewidth);if(strokedasharray!=null) -node.setAttribute("stroke-dasharray",strokedasharray);node.setAttribute("stroke",stroke);node.setAttribute("fill",fill);node.setAttribute("stroke-opacity",strokeopacity);node.setAttribute("fill-opacity",fillopacity);if(marker=="dot"||marker=="arrowdot"){ASdot(p,markersize,markerstroke,markerfill);if(marker=="arrowdot")arrowhead(p,q);ASdot(q,markersize,markerstroke,markerfill);}else if(marker=="arrow")arrowhead(p,q);if(endpts==null&&endpoints!="")endpts=endpoints;if(endpts!=null){if(endpts.indexOf("<-")!=-1)arrowhead(q,p);if(endpts.indexOf("o-")!=-1)dot(p,"open");if(endpts.indexOf("*-")!=-1)dot(p,"closed");if(endpts.indexOf("->")!=-1)arrowhead(p,q);if(endpts.indexOf("-o")!=-1)dot(q,"open");if(endpts.indexOf("-*")!=-1)dot(q,"closed");}} -function path(plist,id,c,endpts){if(c==null)c="";var node,st,i;if(id!=null)node=doc.getElementById(id);if(node==null){node=myCreateElementSVG("path");node.setAttribute("id",id);svgpicture.appendChild(node);} -if(typeof plist=="string")st=plist;else{st="M";st+=(plist[0][0]*xunitlength+origin[0])+","+ -(height-plist[0][1]*yunitlength-origin[1])+" "+c;for(i=1;i<plist.length;i++) -st+=(plist[i][0]*xunitlength+origin[0])+","+ -(height-plist[i][1]*yunitlength-origin[1])+" ";} -node.setAttribute("d",st);node.setAttribute("stroke-width",strokewidth);if(strokedasharray!=null) -node.setAttribute("stroke-dasharray",strokedasharray);node.setAttribute("stroke",stroke);node.setAttribute("fill",fill);node.setAttribute("stroke-opacity",strokeopacity);node.setAttribute("fill-opacity",fillopacity);if(marker=="dot"||marker=="arrowdot") -for(i=0;i<plist.length;i++) -if(c!="C"&&c!="T"||i!=1&&i!=2) -ASdot(plist[i],markersize,markerstroke,markerfill);if(endpts==null&&endpoints!="")endpts=endpoints;if(endpts!=null){if(endpts.indexOf("<-")!=-1)arrowhead(plist[1],plist[0]);if(endpts.indexOf("o-")!=-1)dot(plist[0],"open");if(endpts.indexOf("*-")!=-1)dot(plist[0],"closed");if(endpts.indexOf("->")!=-1)arrowhead(plist[plist.length-2],plist[plist.length-1]);if(endpts.indexOf("-o")!=-1)dot(plist[plist.length-1],"open");if(endpts.indexOf("-*")!=-1)dot(plist[plist.length-1],"closed");}} -function curve(plist,id,endpts){path(plist,id,"T",endpts);} -function vector(p,q,id){line(p,q,id,"","->");} -function circle(center,radius,id){var node;if(id!=null)node=doc.getElementById(id);if(node==null){node=myCreateElementSVG("circle");node.setAttribute("id",id);svgpicture.appendChild(node);} -node.setAttribute("cx",center[0]*xunitlength+origin[0]);node.setAttribute("cy",height-center[1]*yunitlength-origin[1]);node.setAttribute("r",radius*xunitlength);node.setAttribute("stroke-width",strokewidth);node.setAttribute("stroke",stroke);node.setAttribute("fill",fill);node.setAttribute("stroke-opacity",strokeopacity);node.setAttribute("fill-opacity",fillopacity);} -function loop(p,d,id){if(d==null)d=[1,0];path([p,[p[0]+d[0],p[1]+d[1]],[p[0]-d[1],p[1]+d[0]],p],id,"C");if(marker=="arrow"||marker=="arrowdot") -arrowhead([p[0]+Math.cos(1.4)*d[0]-Math.sin(1.4)*d[1],p[1]+Math.sin(1.4)*d[0]+Math.cos(1.4)*d[1]],p);} -function arc(start,end,radius,id,largearc){var node,v;if(id!=null)node=doc.getElementById(id);if(largearc==null)largearc=0;if(radius==null){v=[end[0]-start[0],end[1]-start[1]];radius=Math.sqrt(v[0]*v[0]+v[1]*v[1]);} -if(node==null){node=myCreateElementSVG("path");node.setAttribute("id",id);svgpicture.appendChild(node);} -node.setAttribute("d","M"+(start[0]*xunitlength+origin[0])+","+ -(height-start[1]*yunitlength-origin[1])+" A"+radius*xunitlength+","+ -radius*yunitlength+" 0 "+largearc+",0 "+(end[0]*xunitlength+origin[0])+","+ -(height-end[1]*yunitlength-origin[1]));node.setAttribute("stroke-width",strokewidth);node.setAttribute("stroke",stroke);node.setAttribute("fill",fill);node.setAttribute("stroke-opacity",strokeopacity);node.setAttribute("fill-opacity",fillopacity);if(marker=="arrow"||marker=="arrowdot"){u=[(end[1]-start[1])/4,(start[0]-end[0])/4];v=[(end[0]-start[0])/2,(end[1]-start[1])/2];v=[start[0]+v[0]+u[0],start[1]+v[1]+u[1]];}else v=[start[0],start[1]];if(marker=="dot"||marker=="arrowdot"){ASdot(start,markersize,markerstroke,markerfill);if(marker=="arrowdot")arrowhead(v,end);ASdot(end,markersize,markerstroke,markerfill);}else if(marker=="arrow")arrowhead(v,end);} -function sector(center,start,end,id){var rx=start[0]-center[0],ry=start[1]-center[1];arc(start,end,Math.sqrt(rx*rx+ry*ry),id+"arc");path([end,center,start],id+"path");} -function ellipse(center,rx,ry,id){var node;if(id!=null)node=doc.getElementById(id);if(node==null){node=myCreateElementSVG("ellipse");node.setAttribute("id",id);svgpicture.appendChild(node);} -node.setAttribute("cx",center[0]*xunitlength+origin[0]);node.setAttribute("cy",height-center[1]*yunitlength-origin[1]);node.setAttribute("rx",rx*xunitlength);node.setAttribute("ry",ry*yunitlength);node.setAttribute("stroke-width",strokewidth);node.setAttribute("stroke",stroke);node.setAttribute("fill",fill);node.setAttribute("stroke-opacity",strokeopacity);node.setAttribute("fill-opacity",fillopacity);} -function triangle(p,q,r,id){path([p,q,r,p],id)} -function rect(p,q,id,rx,ry){var node;if(id!=null)node=doc.getElementById(id);if(node==null){node=myCreateElementSVG("rect");node.setAttribute("id",id);svgpicture.appendChild(node);} -node.setAttribute("x",p[0]*xunitlength+origin[0]);node.setAttribute("y",height-q[1]*yunitlength-origin[1]);node.setAttribute("width",(q[0]-p[0])*xunitlength);node.setAttribute("height",(q[1]-p[1])*yunitlength);if(rx!=null)node.setAttribute("rx",rx*xunitlength);if(ry!=null)node.setAttribute("ry",ry*yunitlength);node.setAttribute("stroke-width",strokewidth);node.setAttribute("stroke",stroke);node.setAttribute("fill",fill);node.setAttribute("stroke-opacity",strokeopacity);node.setAttribute("fill-opacity",fillopacity);} -function text(p,st,pos,id,fontsty){var dnode,node,dx=0,dy=fontsize/3,str=st.toString();if(/(`|\$)/.test(str)){dnode=document.getElementById(svgpicture.getAttribute("name")+"mml");if(dnode!=null){if(id!=null)node=document.getElementById(id);if(node==null){node=createElementXHTML("div");node.setAttribute("id",id);node.style.position="absolute";dnode.appendChild(node);} -while(node.childNodes.length>0)node.removeChild(node.lastChild);node.appendChild(document.createTextNode(str));if(/`/.test(str))AMprocessNode(node);else LMprocessNode(node);dx=-node.offsetWidth/2;dy=-node.offsetHeight/2;if(pos!=null){if(/above/.test(pos))dy=-node.offsetHeight;if(/below/.test(pos))dy=0;if(/right/.test(pos))dx=0;if(/left/.test(pos))dx=-node.offsetWidth;} -node.style.left=""+(p[0]*xunitlength+origin[0]+dx)+"px";node.style.top=""+(height-p[1]*yunitlength-origin[1]+dy)+"px";} -return p;} -var textanchor="middle";if(pos!=null){if(/above/.test(pos))dy=-fontsize/2;if(/below/.test(pos))dy=fontsize-0;if(/right/.test(pos)){textanchor="start";dx=fontsize/4;} -if(/left/.test(pos)){textanchor="end";dx=-fontsize/4;}} -if(id!=null)node=doc.getElementById(id);if(node==null){node=myCreateElementSVG("text");node.setAttribute("id",id);svgpicture.appendChild(node);node.appendChild(doc.createTextNode(str));} -while(node.childNodes.length>1)node.removeChild(node.lastChild);node.lastChild.nodeValue="\xA0"+str+"\xA0";node.setAttribute("x",p[0]*xunitlength+origin[0]+dx);node.setAttribute("y",height-p[1]*yunitlength-origin[1]+dy);node.setAttribute("font-style",(fontsty!=null?fontsty:(str.search(/^[a-zA-Z]$/)!=-1?"italic":fontstyle)));node.setAttribute("font-family",fontfamily);node.setAttribute("font-size",fontsize);node.setAttribute("font-weight",fontweight);node.setAttribute("text-anchor",textanchor);if(fontstroke!="none")node.setAttribute("stroke",fontstroke);if(fontfill!="none")node.setAttribute("fill",fontfill);return p;} -function mtext(p,st,pos,fontsty,fontsz){var textanchor="middle";var dx=0;var dy=fontsize/3;if(pos!=null){if(pos.slice(0,5)=="above")dy=-fontsize/2;if(pos.slice(0,5)=="below")dy=fontsize-0;if(pos.slice(0,5)=="right"||pos.slice(5,10)=="right"){textanchor="start";dx=fontsize/2;} -if(pos.slice(0,4)=="left"||pos.slice(5,9)=="left"){textanchor="end";dx=-fontsize/2;}} -var node=this;if(this.nodeName=="svg"){node=myCreateElementSVG("text");this.appendChild(node);node.appendChild(doc.createTextNode(st));} -node.lastChild.nodeValue=st;node.setAttribute("x",p[0]+dx);node.setAttribute("y",p[1]+dy);node.setAttribute("font-style",(fontsty!=null?fontsty:fontstyle));node.setAttribute("font-family",fontfamily);node.setAttribute("font-size",(fontsz!=null?fontsz:fontsize));node.setAttribute("font-weight",fontweight);node.setAttribute("text-anchor",textanchor);if(fontstroke!="none")node.setAttribute("stroke",fontstroke);if(fontfill!="none")node.setAttribute("fill",fontfill);} -function image(imgurl,p,w,h,id){var node;if(id!=null)node=doc.getElementById(id);if(node==null){node=myCreateElementSVG("image");node.setAttribute("id",id);svgpicture.appendChild(node);} -node.setAttribute("x",p[0]*xunitlength+origin[0]);node.setAttribute("y",height-p[1]*yunitlength-origin[1]);node.setAttribute("width",w);node.setAttribute("height",h);node.setAttribute("xlink:href",imgurl);} -function ASdot(center,radius,s,f){if(s==null)s=stroke;if(f==null)f=fill;var node=myCreateElementSVG("circle");node.setAttribute("cx",center[0]*xunitlength+origin[0]);node.setAttribute("cy",height-center[1]*yunitlength-origin[1]);node.setAttribute("r",radius);node.setAttribute("stroke-width",strokewidth);node.setAttribute("stroke",s);node.setAttribute("fill",f);svgpicture.appendChild(node);} -function dot(center,typ,label,pos,id){var node;var cx=center[0]*xunitlength+origin[0];var cy=height-center[1]*yunitlength-origin[1];if(id!=null)node=doc.getElementById(id);if(typ=="+"||typ=="-"||typ=="|"){if(node==null){node=myCreateElementSVG("path");node.setAttribute("id",id);svgpicture.appendChild(node);} -if(typ=="+"){node.setAttribute("d"," M "+(cx-ticklength)+" "+cy+" L "+(cx+ticklength)+" "+cy+" M "+cx+" "+(cy-ticklength)+" L "+cx+" "+(cy+ticklength));node.setAttribute("stroke-width",.5);node.setAttribute("stroke",axesstroke);}else{if(typ=="-")node.setAttribute("d"," M "+(cx-ticklength)+" "+cy+" L "+(cx+ticklength)+" "+cy);else node.setAttribute("d"," M "+cx+" "+(cy-ticklength)+" L "+cx+" "+(cy+ticklength));node.setAttribute("stroke-width",strokewidth);node.setAttribute("stroke",stroke);}}else{if(node==null){node=myCreateElementSVG("circle");node.setAttribute("id",id);svgpicture.appendChild(node);} -node.setAttribute("cx",cx);node.setAttribute("cy",cy);node.setAttribute("r",dotradius);node.setAttribute("stroke-width",strokewidth);node.setAttribute("stroke",stroke);node.setAttribute("fill",(typ=="open"?"white":(typ=="closed"?stroke:markerfill)));} -if(label!=null) -text(center,label,(pos==null?"below":pos),(id==null?id:id+"label"))} -point=dot;function arrowhead(p,q){var up;var v=[p[0]*xunitlength+origin[0],height-p[1]*yunitlength-origin[1]];var w=[q[0]*xunitlength+origin[0],height-q[1]*yunitlength-origin[1]];var u=[w[0]-v[0],w[1]-v[1]];var d=Math.sqrt(u[0]*u[0]+u[1]*u[1]);if(d>0.00000001){u=[u[0]/d,u[1]/d];up=[-u[1],u[0]];var node=myCreateElementSVG("path");node.setAttribute("d","M "+(w[0]-15*u[0]-4*up[0])+" "+ -(w[1]-15*u[1]-4*up[1])+" L "+(w[0]-3*u[0])+" "+(w[1]-3*u[1])+" L "+ -(w[0]-15*u[0]+4*up[0])+" "+(w[1]-15*u[1]+4*up[1])+" z");node.setAttribute("stroke-width",markerstrokewidth);node.setAttribute("stroke",stroke);node.setAttribute("fill",stroke);node.setAttribute("stroke-opacity",strokeopacity);node.setAttribute("fill-opacity",fillopacity);svgpicture.appendChild(node);}} -function chopZ(st){var k=st.indexOf(".");if(k==-1)return st;for(var i=st.length-1;i>k&&st.charAt(i)=="0";i--);if(i==k)i--;return st.slice(0,i+1);} -function grid(dx,dy){axes(dx,dy,null,dx,dy)} -function noaxes(){if(!initialized)initPicture();} -function axes(dx,dy,labels,gdx,gdy){var x,y,ldx,ldy,lx,ly,lxp,lyp,pnode,st;if(!initialized)initPicture();if(typeof dx=="string"){labels=dx;dx=null;} -if(typeof dy=="string"){gdx=dy;dy=null;} -if(xscl!=null){dx=xscl;gdx=xscl;labels=dx} -if(yscl!=null){dy=yscl;gdy=yscl} -if(xtick!=null){dx=xtick} -if(ytick!=null){dy=ytick} -dx=(dx==null?xunitlength:dx*xunitlength);dy=(dy==null?dx:dy*yunitlength);fontsize=Math.min(dx/2,dy/2,16);ticklength=fontsize/4;if(xgrid!=null)gdx=xgrid;if(ygrid!=null)gdy=ygrid;if(gdx!=null){gdx=(typeof gdx=="string"?dx:gdx*xunitlength);gdy=(gdy==null?dy:gdy*yunitlength);pnode=myCreateElementSVG("path");st="";for(x=origin[0];x<width;x=x+gdx) -st+=" M"+x+",0"+" "+x+","+height;for(x=origin[0]-gdx;x>0;x=x-gdx) -st+=" M"+x+",0"+" "+x+","+height;for(y=height-origin[1];y<height;y=y+gdy) -st+=" M0,"+y+" "+width+","+y;for(y=height-origin[1]-gdy;y>0;y=y-gdy) -st+=" M0,"+y+" "+width+","+y;pnode.setAttribute("d",st);pnode.setAttribute("stroke-width",.5);pnode.setAttribute("stroke",gridstroke);pnode.setAttribute("fill",fill);svgpicture.appendChild(pnode);} -pnode=myCreateElementSVG("path");st="M0,"+(height-origin[1])+" "+width+","+ -(height-origin[1])+" M"+origin[0]+",0 "+origin[0]+","+height;for(x=origin[0]+dx;x<width;x=x+dx) -st+=" M"+x+","+(height-origin[1]+ticklength)+" "+x+","+ -(height-origin[1]-ticklength);for(x=origin[0]-dx;x>0;x=x-dx) -st+=" M"+x+","+(height-origin[1]+ticklength)+" "+x+","+ -(height-origin[1]-ticklength);for(y=height-origin[1]+dy;y<height;y=y+dy) -st+=" M"+(origin[0]+ticklength)+","+y+" "+(origin[0]-ticklength)+","+y;for(y=height-origin[1]-dy;y>0;y=y-dy) -st+=" M"+(origin[0]+ticklength)+","+y+" "+(origin[0]-ticklength)+","+y;if(labels!=null)with(Math){ldx=dx/xunitlength;ldy=dy/yunitlength;lx=(xmin>0||xmax<0?xmin:0);ly=(ymin>0||ymax<0?ymin:0);lxp=(ly==0?"below":"above");lyp=(lx==0?"left":"right");var ddx=floor(1.1-log(ldx)/log(10))+1;var ddy=floor(1.1-log(ldy)/log(10))+1;for(x=ldx;x<=xmax;x=x+ldx) -text([x,ly],chopZ(x.toFixed(ddx)),lxp);for(x=-ldx;xmin<=x;x=x-ldx) -text([x,ly],chopZ(x.toFixed(ddx)),lxp);for(y=ldy;y<=ymax;y=y+ldy) -text([lx,y],chopZ(y.toFixed(ddy)),lyp);for(y=-ldy;ymin<=y;y=y-ldy) -text([lx,y],chopZ(y.toFixed(ddy)),lyp);} -fontsize=defaultfontsize;pnode.setAttribute("d",st);pnode.setAttribute("stroke-width",.5);pnode.setAttribute("stroke",axesstroke);pnode.setAttribute("fill",fill);pnode.setAttribute("stroke-opacity",strokeopacity);pnode.setAttribute("fill-opacity",fillopacity);svgpicture.appendChild(pnode);} -function mathjs(st){st=st.replace(/\s/g,"");if(st.indexOf("^-1")!=-1){st=st.replace(/sin\^-1/g,"arcsin");st=st.replace(/cos\^-1/g,"arccos");st=st.replace(/tan\^-1/g,"arctan");st=st.replace(/sec\^-1/g,"arcsec");st=st.replace(/csc\^-1/g,"arccsc");st=st.replace(/cot\^-1/g,"arccot");st=st.replace(/sinh\^-1/g,"arcsinh");st=st.replace(/cosh\^-1/g,"arccosh");st=st.replace(/tanh\^-1/g,"arctanh");st=st.replace(/sech\^-1/g,"arcsech");st=st.replace(/csch\^-1/g,"arccsch");st=st.replace(/coth\^-1/g,"arccoth");} -st=st.replace(/^e$/g,"(Math.E)");st=st.replace(/^e([^a-zA-Z])/g,"(Math.E)$1");st=st.replace(/([^a-zA-Z])e/g,"$1(Math.E)");st=st.replace(/([0-9])([\(a-zA-Z])/g,"$1*$2");st=st.replace(/\)([\(0-9a-zA-Z])/g,"\)*$1");var i,j,k,ch,nested;while((i=st.indexOf("^"))!=-1){if(i==0)return"Error: missing argument";j=i-1;ch=st.charAt(j);if(ch>="0"&&ch<="9"){j--;while(j>=0&&(ch=st.charAt(j))>="0"&&ch<="9")j--;if(ch=="."){j--;while(j>=0&&(ch=st.charAt(j))>="0"&&ch<="9")j--;}}else if(ch==")"){nested=1;j--;while(j>=0&&nested>0){ch=st.charAt(j);if(ch=="(")nested--;else if(ch==")")nested++;j--;} -while(j>=0&&(ch=st.charAt(j))>="a"&&ch<="z"||ch>="A"&&ch<="Z") -j--;}else if(ch>="a"&&ch<="z"||ch>="A"&&ch<="Z"){j--;while(j>=0&&(ch=st.charAt(j))>="a"&&ch<="z"||ch>="A"&&ch<="Z") -j--;}else{return"Error: incorrect syntax in "+st+" at position "+j;} -if(i==st.length-1)return"Error: missing argument";k=i+1;ch=st.charAt(k);if(ch>="0"&&ch<="9"||ch=="-"){k++;while(k<st.length&&(ch=st.charAt(k))>="0"&&ch<="9")k++;if(ch=="."){k++;while(k<st.length&&(ch=st.charAt(k))>="0"&&ch<="9")k++;}}else if(ch=="("){nested=1;k++;while(k<st.length&&nested>0){ch=st.charAt(k);if(ch=="(")nested++;else if(ch==")")nested--;k++;}}else if(ch>="a"&&ch<="z"||ch>="A"&&ch<="Z"){k++;while(k<st.length&&(ch=st.charAt(k))>="a"&&ch<="z"||ch>="A"&&ch<="Z")k++;}else{return"Error: incorrect syntax in "+st+" at position "+k;} -st=st.slice(0,j+1)+"Math.pow("+st.slice(j+1,i)+","+st.slice(i+1,k)+")"+ -st.slice(k);} -while((i=st.indexOf("!"))!=-1){if(i==0)return"Error: missing argument";j=i-1;ch=st.charAt(j);if(ch>="0"&&ch<="9"){j--;while(j>=0&&(ch=st.charAt(j))>="0"&&ch<="9")j--;if(ch=="."){j--;while(j>=0&&(ch=st.charAt(j))>="0"&&ch<="9")j--;}}else if(ch==")"){nested=1;j--;while(j>=0&&nested>0){ch=st.charAt(j);if(ch=="(")nested--;else if(ch==")")nested++;j--;} -while(j>=0&&(ch=st.charAt(j))>="a"&&ch<="z"||ch>="A"&&ch<="Z") -j--;}else if(ch>="a"&&ch<="z"||ch>="A"&&ch<="Z"){j--;while(j>=0&&(ch=st.charAt(j))>="a"&&ch<="z"||ch>="A"&&ch<="Z") -j--;}else{return"Error: incorrect syntax in "+st+" at position "+j;} -st=st.slice(0,j+1)+"factorial("+st.slice(j+1,i)+")"+st.slice(i+1);} -return st;} -function plot(fun,x_min,x_max,points,id,endpts){var pth=[];var f=function(x){return x},g=fun;var name=null;if(typeof fun=="string") -eval("g = function(x){ with(Math) return "+mathjs(fun)+" }");else if(typeof fun=="object"){eval("f = function(t){ with(Math) return "+mathjs(fun[0])+" }");eval("g = function(t){ with(Math) return "+mathjs(fun[1])+" }");} -if(typeof x_min=="string"){name=x_min;x_min=xmin} -else name=id;var min=(x_min==null?xmin:x_min);var max=(x_max==null?xmax:x_max);var inc=max-min-0.000001*(max-min);inc=(points==null?inc/200:inc/points);var gt;for(var t=min;t<=max;t+=inc){gt=g(t);if(!(isNaN(gt)||Math.abs(gt)=="Infinity"))pth[pth.length]=[f(t),gt];} -path(pth,name,null,endpts);return pth;} -function slopefield(fun,dx,dy){var g=fun;if(typeof fun=="string") -eval("g = function(x,y){ with(Math) return "+mathjs(fun)+" }");var gxy,x,y,u,v,dz;if(dx==null)dx=1;if(dy==null)dy=1;dz=Math.sqrt(dx*dx+dy*dy)/6;var x_min=Math.ceil(xmin/dx);var y_min=Math.ceil(ymin/dy);for(x=x_min;x<=xmax;x+=dx) -for(y=y_min;y<=ymax;y+=dy){gxy=g(x,y);if(!isNaN(gxy)){if(Math.abs(gxy)=="Infinity"){u=0;v=dz;} -else{u=dz/Math.sqrt(1+gxy*gxy);v=gxy*u;} -line([x-u,y-v],[x+u,y+v]);}}} -function show_props(obj){var result="";for(var i=0;i<obj.childNodes.length;i++) -result+=obj.childNodes.item(i)+"\n";return result;} -function displayCoord(evt){if(showcoordinates){var svgroot=evt.target.parentNode;var nl=svgroot.childNodes;for(var i=0;i<nl.length&&nl.item(i).nodeName!="text";i++);var cnode=nl.item(i);cnode.mtext=mtext;cnode.mtext([svgroot.getAttribute("width")-(-7),svgroot.getAttribute("height")-7],"("+getX(evt).toFixed(2)+", "+getY(evt).toFixed(2)+")","left","","11");}} -function removeCoord(evt){var svgroot=evt.target.parentNode;var nl=svgroot.childNodes;for(var i=0;i<nl.length&&nl.item(i).nodeName!="text";i++);var cnode=nl.item(i);cnode.mtext=mtext;cnode.mtext([svgroot.getAttribute("width")-0,svgroot.getAttribute("height")-0],"","aboveleft","");} -function initASCIIMathCalculators(li){var i;for(i=0;i<li.length;i++){li[i].innerHTML=calcstr;AMprocessNode(li[i]);} -li=document.getElementsByTagName("textarea");var st;for(i=0;i<li.length;i++){st=li[i].getAttribute("onkeyup");if(st!=null)eval(String(st).replace(/function anonymous\(\)/,""));}} -function calculate(inputId,outputId){var str=document.getElementById(inputId).value;var err="";var ind=str.lastIndexOf("\n");if(ind==str.length-1)str=str.slice(0,ind);str=str.slice(str.lastIndexOf("\n")+1);try{var res=eval(mathjs(str));}catch(e){err="syntax incomplete";} -if(!isNaN(res)&&res!="Infinity") -str="`"+str+" =` "+(Math.abs(res-Math.round(res*1000000)/1000000)<1e-15?Math.round(res*1000000)/1000000:res)+err;else if(str!="")str="`"+str+"` = undefined";var outnode=document.getElementById(outputId);var n=outnode.childNodes.length;for(var i=0;i<n;i++) -outnode.removeChild(outnode.firstChild);outnode.appendChild(document.createTextNode(str));AMprocessNode(outnode);} -function append(st){document.getElementById('in').value+=st;calculate('in','out');document.getElementById('in').scrollTop=1000;document.getElementById('in').focus();} -function clearTextArea(){document.getElementById('in').value="";calculate('in','out');document.getElementById('in').focus();} -var calcstr="<table align=\"center\">\n<tr><th>\nASCIIMath Scientific Calculator\n</th></tr>\n<tr><td>\nClick in the box to use your keyboard or use the buttons\n</td></tr>\n<tr><td>\n<textarea id=\"in\" rows=\"3\" cols=\"40\" onkeyup=\"calculate('in','out')\"></textarea></td></tr>\n<tr><td height=\"50\">Result: <span id=\"out\"></span></td></tr>\n</table>\n<table align=\"center\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody align=\"center\">\n<tr>\n<td colspan=\"4\">\n<button onclick=\"append('sin^-1(')\"><font size=2>`sin^-1`</font></button><button onclick=\"append('cos^-1(')\"><font size=2>`cos^-1`</font></button><button onclick=\"append('tan^-1(')\"><font size=2>`tan^-1`</font></button></td>\n<td><button onclick=\"clearTextArea()\"> `C` </button></td>\n\n</tr>\n<tr>\n<td><button onclick=\"append('pi')\"> `pi` </button></td>\n<td><button onclick=\"append('sin(')\"> `sin`</button></td>\n<td><button onclick=\"append('cos(')\"> `cos`</button></td>\n<td><button onclick=\"append('tan(')\"> `tan`</button></td>\n<td><button onclick=\"append('^')\">`x^y`</button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('!')\"> `!` </button></td>\n\n<td><button onclick=\"append('(')\"><font size=2> `(` </font></button></td>\n<td><button onclick=\"append(')')\"><font size=2> `)` </font></button></td>\n<td><button onclick=\"append('sqrt(')\"><font size=2>`sqrt({::}^\ )`</font></button></td>\n<td><button onclick=\"append('/')\"> `-:\ `</button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('log(')\">`log`</button></td>\n<td><button onclick=\"append('7')\"> `7` </button></td>\n<td><button onclick=\"append('8')\"> `8` </button></td>\n\n<td><button onclick=\"append('9')\"> `9` </button></td>\n<td><button onclick=\"append('*')\"> `times` </button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('ln(')\"> `ln` </button></td>\n<td><button onclick=\"append('4')\"> `4` </button></td>\n<td><button onclick=\"append('5')\"> `5` </button></td>\n<td><button onclick=\"append('6')\"> `6` </button></td>\n\n<td><button onclick=\"append('-')\"> `-{::}` </button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('e')\"> `e` </button></td>\n<td><button onclick=\"append('1')\"> `1` </button></td>\n<td><button onclick=\"append('2')\"> `2` </button></td>\n<td><button onclick=\"append('3')\"> `3` </button></td>\n<td><button onclick=\"append('+')\"> `+{::}` </button></td>\n\n</tr>\n<tr>\n<td> <!--button onclick=\"append('pi')\"> `pi` </button--></td>\n<td><button onclick=\"append('0')\"> `0` </button></td>\n<td><button onclick=\"append('.')\"> `.` </button></td>\n<td><button onclick=\"append('\\n')\"> `\"ent\"`</button></td>\n</tr>\n</tbody>\n</table>";function generic() -{if(!init())return;if(translateOnLoad){var nd=document.getElementById("processasciimathinmoodle");if(nd!=null)dsvglocation=nd.className;if(nd!=null||!checkforprocessasciimathinmoodle){translate();if(!noSVG&&translateASCIIsvg)drawPictures();} -var li=getElementsByClass(document,"div","ASCIIMathCalculator");if(!noMathML&&li.length>0)initASCIIMathCalculators(li);}};if(typeof window.addEventListener!='undefined') -{window.addEventListener('load',generic,false);} -else if(typeof document.addEventListener!='undefined') -{document.addEventListener('load',generic,false);} -else if(typeof window.attachEvent!='undefined') -{window.attachEvent('onload',generic);} -else -{if(typeof window.onload=='function') -{var existing=onload;window.onload=function() -{existing();generic();};} -else -{window.onload=generic;}} diff --git a/data/LaTeXMathML.js.comment b/data/LaTeXMathML.js.comment new file mode 100644 index 000000000..fc60b1f74 --- /dev/null +++ b/data/LaTeXMathML.js.comment @@ -0,0 +1,16 @@ +/* +LaTeXMathML.js from http://math.etsu.edu/LaTeXMathML/ +Adapted by Jeff Knisely and Douglas Woodall from ASCIIMathML.js v. 1.4.7, +(c) 2005 Peter Jipsen http://www.chapman.edu/~jipsen. + +This program is free software; you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at +your option) any later version. + +This program is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +General Public License (at http://www.gnu.org/copyleft/gpl.html) +for more details. +*/ diff --git a/data/LaTeXMathML.js.packed b/data/LaTeXMathML.js.packed new file mode 100644 index 000000000..6ed7447e1 --- /dev/null +++ b/data/LaTeXMathML.js.packed @@ -0,0 +1,191 @@ + +var checkForMathML=true;var notifyIfNoMathML=true;var alertIfNoMathML=false;var mathcolor="";var mathfontfamily="";var showasciiformulaonhover=true;var isIE=document.createElementNS==null;if(document.getElementById==null) +alert("This webpage requires a recent browser such as \nMozilla/Netscape 7+ or Internet Explorer 6+MathPlayer") +function AMcreateElementXHTML(t){if(isIE)return document.createElement(t);else return document.createElementNS("http://www.w3.org/1999/xhtml",t);} +function AMnoMathMLNote(){var nd=AMcreateElementXHTML("h3");nd.setAttribute("align","center") +nd.appendChild(AMcreateElementXHTML("p"));nd.appendChild(document.createTextNode("To view the "));var an=AMcreateElementXHTML("a");an.appendChild(document.createTextNode("LaTeXMathML"));an.setAttribute("href","http://www.maths.nott.ac.uk/personal/drw/lm.html");nd.appendChild(an);nd.appendChild(document.createTextNode(" notation use Internet Explorer 6+"));an=AMcreateElementXHTML("a");an.appendChild(document.createTextNode("MathPlayer"));an.setAttribute("href","http://www.dessci.com/en/products/mathplayer/download.htm");nd.appendChild(an);nd.appendChild(document.createTextNode(" or Netscape/Mozilla/Firefox"));nd.appendChild(AMcreateElementXHTML("p"));return nd;} +function AMisMathMLavailable(){if(navigator.appName.slice(0,8)=="Netscape") +if(navigator.appVersion.slice(0,1)>="5")return null;else return AMnoMathMLNote();else if(navigator.appName.slice(0,9)=="Microsoft") +try{var ActiveX=new ActiveXObject("MathPlayer.Factory.1");return null;}catch(e){return AMnoMathMLNote();} +else return AMnoMathMLNote();} +var AMcal=[0xEF35,0x212C,0xEF36,0xEF37,0x2130,0x2131,0xEF38,0x210B,0x2110,0xEF39,0xEF3A,0x2112,0x2133,0xEF3B,0xEF3C,0xEF3D,0xEF3E,0x211B,0xEF3F,0xEF40,0xEF41,0xEF42,0xEF43,0xEF44,0xEF45,0xEF46];var AMfrk=[0xEF5D,0xEF5E,0x212D,0xEF5F,0xEF60,0xEF61,0xEF62,0x210C,0x2111,0xEF63,0xEF64,0xEF65,0xEF66,0xEF67,0xEF68,0xEF69,0xEF6A,0x211C,0xEF6B,0xEF6C,0xEF6D,0xEF6E,0xEF6F,0xEF70,0xEF71,0x2128];var AMbbb=[0xEF8C,0xEF8D,0x2102,0xEF8E,0xEF8F,0xEF90,0xEF91,0x210D,0xEF92,0xEF93,0xEF94,0xEF95,0xEF96,0x2115,0xEF97,0x2119,0x211A,0x211D,0xEF98,0xEF99,0xEF9A,0xEF9B,0xEF9C,0xEF9D,0xEF9E,0x2124];var CONST=0,UNARY=1,BINARY=2,INFIX=3,LEFTBRACKET=4,RIGHTBRACKET=5,SPACE=6,UNDEROVER=7,DEFINITION=8,TEXT=9,BIG=10,LONG=11,STRETCHY=12,MATRIX=13;var AMsqrt={input:"\\sqrt",tag:"msqrt",output:"sqrt",ttype:UNARY},AMroot={input:"\\root",tag:"mroot",output:"root",ttype:BINARY},AMfrac={input:"\\frac",tag:"mfrac",output:"/",ttype:BINARY},AMover={input:"\\stackrel",tag:"mover",output:"stackrel",ttype:BINARY},AMatop={input:"\\atop",tag:"mfrac",output:"",ttype:INFIX},AMchoose={input:"\\choose",tag:"mfrac",output:"",ttype:INFIX},AMsub={input:"_",tag:"msub",output:"_",ttype:INFIX},AMsup={input:"^",tag:"msup",output:"^",ttype:INFIX},AMtext={input:"\\mathrm",tag:"mtext",output:"text",ttype:TEXT},AMmbox={input:"\\mbox",tag:"mtext",output:"mbox",ttype:TEXT};var AMsymbols=[{input:"\\alpha",tag:"mi",output:"\u03B1",ttype:CONST},{input:"\\beta",tag:"mi",output:"\u03B2",ttype:CONST},{input:"\\gamma",tag:"mi",output:"\u03B3",ttype:CONST},{input:"\\delta",tag:"mi",output:"\u03B4",ttype:CONST},{input:"\\epsilon",tag:"mi",output:"\u03B5",ttype:CONST},{input:"\\varepsilon",tag:"mi",output:"\u025B",ttype:CONST},{input:"\\zeta",tag:"mi",output:"\u03B6",ttype:CONST},{input:"\\eta",tag:"mi",output:"\u03B7",ttype:CONST},{input:"\\theta",tag:"mi",output:"\u03B8",ttype:CONST},{input:"\\vartheta",tag:"mi",output:"\u03D1",ttype:CONST},{input:"\\iota",tag:"mi",output:"\u03B9",ttype:CONST},{input:"\\kappa",tag:"mi",output:"\u03BA",ttype:CONST},{input:"\\lambda",tag:"mi",output:"\u03BB",ttype:CONST},{input:"\\mu",tag:"mi",output:"\u03BC",ttype:CONST},{input:"\\nu",tag:"mi",output:"\u03BD",ttype:CONST},{input:"\\xi",tag:"mi",output:"\u03BE",ttype:CONST},{input:"\\pi",tag:"mi",output:"\u03C0",ttype:CONST},{input:"\\varpi",tag:"mi",output:"\u03D6",ttype:CONST},{input:"\\rho",tag:"mi",output:"\u03C1",ttype:CONST},{input:"\\varrho",tag:"mi",output:"\u03F1",ttype:CONST},{input:"\\varsigma",tag:"mi",output:"\u03C2",ttype:CONST},{input:"\\sigma",tag:"mi",output:"\u03C3",ttype:CONST},{input:"\\tau",tag:"mi",output:"\u03C4",ttype:CONST},{input:"\\upsilon",tag:"mi",output:"\u03C5",ttype:CONST},{input:"\\phi",tag:"mi",output:"\u03C6",ttype:CONST},{input:"\\varphi",tag:"mi",output:"\u03D5",ttype:CONST},{input:"\\chi",tag:"mi",output:"\u03C7",ttype:CONST},{input:"\\psi",tag:"mi",output:"\u03C8",ttype:CONST},{input:"\\omega",tag:"mi",output:"\u03C9",ttype:CONST},{input:"\\Gamma",tag:"mo",output:"\u0393",ttype:CONST},{input:"\\Delta",tag:"mo",output:"\u0394",ttype:CONST},{input:"\\Theta",tag:"mo",output:"\u0398",ttype:CONST},{input:"\\Lambda",tag:"mo",output:"\u039B",ttype:CONST},{input:"\\Xi",tag:"mo",output:"\u039E",ttype:CONST},{input:"\\Pi",tag:"mo",output:"\u03A0",ttype:CONST},{input:"\\Sigma",tag:"mo",output:"\u03A3",ttype:CONST},{input:"\\Upsilon",tag:"mo",output:"\u03A5",ttype:CONST},{input:"\\Phi",tag:"mo",output:"\u03A6",ttype:CONST},{input:"\\Psi",tag:"mo",output:"\u03A8",ttype:CONST},{input:"\\Omega",tag:"mo",output:"\u03A9",ttype:CONST},{input:"\\frac12",tag:"mo",output:"\u00BD",ttype:CONST},{input:"\\frac14",tag:"mo",output:"\u00BC",ttype:CONST},{input:"\\frac34",tag:"mo",output:"\u00BE",ttype:CONST},{input:"\\frac13",tag:"mo",output:"\u2153",ttype:CONST},{input:"\\frac23",tag:"mo",output:"\u2154",ttype:CONST},{input:"\\frac15",tag:"mo",output:"\u2155",ttype:CONST},{input:"\\frac25",tag:"mo",output:"\u2156",ttype:CONST},{input:"\\frac35",tag:"mo",output:"\u2157",ttype:CONST},{input:"\\frac45",tag:"mo",output:"\u2158",ttype:CONST},{input:"\\frac16",tag:"mo",output:"\u2159",ttype:CONST},{input:"\\frac56",tag:"mo",output:"\u215A",ttype:CONST},{input:"\\frac18",tag:"mo",output:"\u215B",ttype:CONST},{input:"\\frac38",tag:"mo",output:"\u215C",ttype:CONST},{input:"\\frac58",tag:"mo",output:"\u215D",ttype:CONST},{input:"\\frac78",tag:"mo",output:"\u215E",ttype:CONST},{input:"\\pm",tag:"mo",output:"\u00B1",ttype:CONST},{input:"\\mp",tag:"mo",output:"\u2213",ttype:CONST},{input:"\\triangleleft",tag:"mo",output:"\u22B2",ttype:CONST},{input:"\\triangleright",tag:"mo",output:"\u22B3",ttype:CONST},{input:"\\cdot",tag:"mo",output:"\u22C5",ttype:CONST},{input:"\\star",tag:"mo",output:"\u22C6",ttype:CONST},{input:"\\ast",tag:"mo",output:"\u002A",ttype:CONST},{input:"\\times",tag:"mo",output:"\u00D7",ttype:CONST},{input:"\\div",tag:"mo",output:"\u00F7",ttype:CONST},{input:"\\circ",tag:"mo",output:"\u2218",ttype:CONST},{input:"\\bullet",tag:"mo",output:"\u2022",ttype:CONST},{input:"\\oplus",tag:"mo",output:"\u2295",ttype:CONST},{input:"\\ominus",tag:"mo",output:"\u2296",ttype:CONST},{input:"\\otimes",tag:"mo",output:"\u2297",ttype:CONST},{input:"\\bigcirc",tag:"mo",output:"\u25CB",ttype:CONST},{input:"\\oslash",tag:"mo",output:"\u2298",ttype:CONST},{input:"\\odot",tag:"mo",output:"\u2299",ttype:CONST},{input:"\\land",tag:"mo",output:"\u2227",ttype:CONST},{input:"\\wedge",tag:"mo",output:"\u2227",ttype:CONST},{input:"\\lor",tag:"mo",output:"\u2228",ttype:CONST},{input:"\\vee",tag:"mo",output:"\u2228",ttype:CONST},{input:"\\cap",tag:"mo",output:"\u2229",ttype:CONST},{input:"\\cup",tag:"mo",output:"\u222A",ttype:CONST},{input:"\\sqcap",tag:"mo",output:"\u2293",ttype:CONST},{input:"\\sqcup",tag:"mo",output:"\u2294",ttype:CONST},{input:"\\uplus",tag:"mo",output:"\u228E",ttype:CONST},{input:"\\amalg",tag:"mo",output:"\u2210",ttype:CONST},{input:"\\bigtriangleup",tag:"mo",output:"\u25B3",ttype:CONST},{input:"\\bigtriangledown",tag:"mo",output:"\u25BD",ttype:CONST},{input:"\\dag",tag:"mo",output:"\u2020",ttype:CONST},{input:"\\dagger",tag:"mo",output:"\u2020",ttype:CONST},{input:"\\ddag",tag:"mo",output:"\u2021",ttype:CONST},{input:"\\ddagger",tag:"mo",output:"\u2021",ttype:CONST},{input:"\\lhd",tag:"mo",output:"\u22B2",ttype:CONST},{input:"\\rhd",tag:"mo",output:"\u22B3",ttype:CONST},{input:"\\unlhd",tag:"mo",output:"\u22B4",ttype:CONST},{input:"\\unrhd",tag:"mo",output:"\u22B5",ttype:CONST},{input:"\\sum",tag:"mo",output:"\u2211",ttype:UNDEROVER},{input:"\\prod",tag:"mo",output:"\u220F",ttype:UNDEROVER},{input:"\\bigcap",tag:"mo",output:"\u22C2",ttype:UNDEROVER},{input:"\\bigcup",tag:"mo",output:"\u22C3",ttype:UNDEROVER},{input:"\\bigwedge",tag:"mo",output:"\u22C0",ttype:UNDEROVER},{input:"\\bigvee",tag:"mo",output:"\u22C1",ttype:UNDEROVER},{input:"\\bigsqcap",tag:"mo",output:"\u2A05",ttype:UNDEROVER},{input:"\\bigsqcup",tag:"mo",output:"\u2A06",ttype:UNDEROVER},{input:"\\coprod",tag:"mo",output:"\u2210",ttype:UNDEROVER},{input:"\\bigoplus",tag:"mo",output:"\u2A01",ttype:UNDEROVER},{input:"\\bigotimes",tag:"mo",output:"\u2A02",ttype:UNDEROVER},{input:"\\bigodot",tag:"mo",output:"\u2A00",ttype:UNDEROVER},{input:"\\biguplus",tag:"mo",output:"\u2A04",ttype:UNDEROVER},{input:"\\int",tag:"mo",output:"\u222B",ttype:CONST},{input:"\\oint",tag:"mo",output:"\u222E",ttype:CONST},{input:":=",tag:"mo",output:":=",ttype:CONST},{input:"\\lt",tag:"mo",output:"<",ttype:CONST},{input:"\\gt",tag:"mo",output:">",ttype:CONST},{input:"\\ne",tag:"mo",output:"\u2260",ttype:CONST},{input:"\\neq",tag:"mo",output:"\u2260",ttype:CONST},{input:"\\le",tag:"mo",output:"\u2264",ttype:CONST},{input:"\\leq",tag:"mo",output:"\u2264",ttype:CONST},{input:"\\leqslant",tag:"mo",output:"\u2264",ttype:CONST},{input:"\\ge",tag:"mo",output:"\u2265",ttype:CONST},{input:"\\geq",tag:"mo",output:"\u2265",ttype:CONST},{input:"\\geqslant",tag:"mo",output:"\u2265",ttype:CONST},{input:"\\equiv",tag:"mo",output:"\u2261",ttype:CONST},{input:"\\ll",tag:"mo",output:"\u226A",ttype:CONST},{input:"\\gg",tag:"mo",output:"\u226B",ttype:CONST},{input:"\\doteq",tag:"mo",output:"\u2250",ttype:CONST},{input:"\\prec",tag:"mo",output:"\u227A",ttype:CONST},{input:"\\succ",tag:"mo",output:"\u227B",ttype:CONST},{input:"\\preceq",tag:"mo",output:"\u227C",ttype:CONST},{input:"\\succeq",tag:"mo",output:"\u227D",ttype:CONST},{input:"\\subset",tag:"mo",output:"\u2282",ttype:CONST},{input:"\\supset",tag:"mo",output:"\u2283",ttype:CONST},{input:"\\subseteq",tag:"mo",output:"\u2286",ttype:CONST},{input:"\\supseteq",tag:"mo",output:"\u2287",ttype:CONST},{input:"\\sqsubset",tag:"mo",output:"\u228F",ttype:CONST},{input:"\\sqsupset",tag:"mo",output:"\u2290",ttype:CONST},{input:"\\sqsubseteq",tag:"mo",output:"\u2291",ttype:CONST},{input:"\\sqsupseteq",tag:"mo",output:"\u2292",ttype:CONST},{input:"\\sim",tag:"mo",output:"\u223C",ttype:CONST},{input:"\\simeq",tag:"mo",output:"\u2243",ttype:CONST},{input:"\\approx",tag:"mo",output:"\u2248",ttype:CONST},{input:"\\cong",tag:"mo",output:"\u2245",ttype:CONST},{input:"\\Join",tag:"mo",output:"\u22C8",ttype:CONST},{input:"\\bowtie",tag:"mo",output:"\u22C8",ttype:CONST},{input:"\\in",tag:"mo",output:"\u2208",ttype:CONST},{input:"\\ni",tag:"mo",output:"\u220B",ttype:CONST},{input:"\\owns",tag:"mo",output:"\u220B",ttype:CONST},{input:"\\propto",tag:"mo",output:"\u221D",ttype:CONST},{input:"\\vdash",tag:"mo",output:"\u22A2",ttype:CONST},{input:"\\dashv",tag:"mo",output:"\u22A3",ttype:CONST},{input:"\\models",tag:"mo",output:"\u22A8",ttype:CONST},{input:"\\perp",tag:"mo",output:"\u22A5",ttype:CONST},{input:"\\smile",tag:"mo",output:"\u2323",ttype:CONST},{input:"\\frown",tag:"mo",output:"\u2322",ttype:CONST},{input:"\\asymp",tag:"mo",output:"\u224D",ttype:CONST},{input:"\\notin",tag:"mo",output:"\u2209",ttype:CONST},{input:"\\begin{eqnarray}",output:"X",ttype:MATRIX,invisible:true},{input:"\\begin{array}",output:"X",ttype:MATRIX,invisible:true},{input:"\\\\",output:"}&{",ttype:DEFINITION},{input:"\\end{eqnarray}",output:"}}",ttype:DEFINITION},{input:"\\end{array}",output:"}}",ttype:DEFINITION},{input:"\\big",tag:"mo",output:"X",atval:"1.2",ieval:"2.2",ttype:BIG},{input:"\\Big",tag:"mo",output:"X",atval:"1.6",ieval:"2.6",ttype:BIG},{input:"\\bigg",tag:"mo",output:"X",atval:"2.2",ieval:"3.2",ttype:BIG},{input:"\\Bigg",tag:"mo",output:"X",atval:"2.9",ieval:"3.9",ttype:BIG},{input:"\\left",tag:"mo",output:"X",ttype:LEFTBRACKET},{input:"\\right",tag:"mo",output:"X",ttype:RIGHTBRACKET},{input:"{",output:"{",ttype:LEFTBRACKET,invisible:true},{input:"}",output:"}",ttype:RIGHTBRACKET,invisible:true},{input:"(",tag:"mo",output:"(",atval:"1",ttype:STRETCHY},{input:"[",tag:"mo",output:"[",atval:"1",ttype:STRETCHY},{input:"\\lbrack",tag:"mo",output:"[",atval:"1",ttype:STRETCHY},{input:"\\{",tag:"mo",output:"{",atval:"1",ttype:STRETCHY},{input:"\\lbrace",tag:"mo",output:"{",atval:"1",ttype:STRETCHY},{input:"\\langle",tag:"mo",output:"\u2329",atval:"1",ttype:STRETCHY},{input:"\\lfloor",tag:"mo",output:"\u230A",atval:"1",ttype:STRETCHY},{input:"\\lceil",tag:"mo",output:"\u2308",atval:"1",ttype:STRETCHY},{input:")",tag:"mo",output:")",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"]",tag:"mo",output:"]",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rbrack",tag:"mo",output:"]",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\}",tag:"mo",output:"}",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rbrace",tag:"mo",output:"}",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rangle",tag:"mo",output:"\u232A",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rfloor",tag:"mo",output:"\u230B",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rceil",tag:"mo",output:"\u2309",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"|",tag:"mo",output:"\u2223",atval:"1",ttype:STRETCHY},{input:"\\|",tag:"mo",output:"\u2225",atval:"1",ttype:STRETCHY},{input:"\\vert",tag:"mo",output:"\u2223",atval:"1",ttype:STRETCHY},{input:"\\Vert",tag:"mo",output:"\u2225",atval:"1",ttype:STRETCHY},{input:"\\mid",tag:"mo",output:"\u2223",atval:"1",ttype:STRETCHY},{input:"\\parallel",tag:"mo",output:"\u2225",atval:"1",ttype:STRETCHY},{input:"/",tag:"mo",output:"/",atval:"1.01",ttype:STRETCHY},{input:"\\backslash",tag:"mo",output:"\u2216",atval:"1",ttype:STRETCHY},{input:"\\setminus",tag:"mo",output:"\\",ttype:CONST},{input:"\\!",tag:"mspace",atname:"width",atval:"-0.167em",ttype:SPACE},{input:"\\,",tag:"mspace",atname:"width",atval:"0.167em",ttype:SPACE},{input:"\\>",tag:"mspace",atname:"width",atval:"0.222em",ttype:SPACE},{input:"\\:",tag:"mspace",atname:"width",atval:"0.222em",ttype:SPACE},{input:"\\;",tag:"mspace",atname:"width",atval:"0.278em",ttype:SPACE},{input:"~",tag:"mspace",atname:"width",atval:"0.333em",ttype:SPACE},{input:"\\quad",tag:"mspace",atname:"width",atval:"1em",ttype:SPACE},{input:"\\qquad",tag:"mspace",atname:"width",atval:"2em",ttype:SPACE},{input:"\\prime",tag:"mo",output:"\u2032",ttype:CONST},{input:"'",tag:"mo",output:"\u02B9",ttype:CONST},{input:"''",tag:"mo",output:"\u02BA",ttype:CONST},{input:"'''",tag:"mo",output:"\u2034",ttype:CONST},{input:"''''",tag:"mo",output:"\u2057",ttype:CONST},{input:"\\ldots",tag:"mo",output:"\u2026",ttype:CONST},{input:"\\cdots",tag:"mo",output:"\u22EF",ttype:CONST},{input:"\\vdots",tag:"mo",output:"\u22EE",ttype:CONST},{input:"\\ddots",tag:"mo",output:"\u22F1",ttype:CONST},{input:"\\forall",tag:"mo",output:"\u2200",ttype:CONST},{input:"\\exists",tag:"mo",output:"\u2203",ttype:CONST},{input:"\\Re",tag:"mo",output:"\u211C",ttype:CONST},{input:"\\Im",tag:"mo",output:"\u2111",ttype:CONST},{input:"\\aleph",tag:"mo",output:"\u2135",ttype:CONST},{input:"\\hbar",tag:"mo",output:"\u210F",ttype:CONST},{input:"\\ell",tag:"mo",output:"\u2113",ttype:CONST},{input:"\\wp",tag:"mo",output:"\u2118",ttype:CONST},{input:"\\emptyset",tag:"mo",output:"\u2205",ttype:CONST},{input:"\\infty",tag:"mo",output:"\u221E",ttype:CONST},{input:"\\surd",tag:"mo",output:"\\sqrt{}",ttype:DEFINITION},{input:"\\partial",tag:"mo",output:"\u2202",ttype:CONST},{input:"\\nabla",tag:"mo",output:"\u2207",ttype:CONST},{input:"\\triangle",tag:"mo",output:"\u25B3",ttype:CONST},{input:"\\therefore",tag:"mo",output:"\u2234",ttype:CONST},{input:"\\angle",tag:"mo",output:"\u2220",ttype:CONST},{input:"\\diamond",tag:"mo",output:"\u22C4",ttype:CONST},{input:"\\Diamond",tag:"mo",output:"\u25C7",ttype:CONST},{input:"\\neg",tag:"mo",output:"\u00AC",ttype:CONST},{input:"\\lnot",tag:"mo",output:"\u00AC",ttype:CONST},{input:"\\bot",tag:"mo",output:"\u22A5",ttype:CONST},{input:"\\top",tag:"mo",output:"\u22A4",ttype:CONST},{input:"\\square",tag:"mo",output:"\u25AB",ttype:CONST},{input:"\\Box",tag:"mo",output:"\u25A1",ttype:CONST},{input:"\\wr",tag:"mo",output:"\u2240",ttype:CONST},{input:"\\arccos",tag:"mi",output:"arccos",ttype:UNARY,func:true},{input:"\\arcsin",tag:"mi",output:"arcsin",ttype:UNARY,func:true},{input:"\\arctan",tag:"mi",output:"arctan",ttype:UNARY,func:true},{input:"\\arg",tag:"mi",output:"arg",ttype:UNARY,func:true},{input:"\\cos",tag:"mi",output:"cos",ttype:UNARY,func:true},{input:"\\cosh",tag:"mi",output:"cosh",ttype:UNARY,func:true},{input:"\\cot",tag:"mi",output:"cot",ttype:UNARY,func:true},{input:"\\coth",tag:"mi",output:"coth",ttype:UNARY,func:true},{input:"\\csc",tag:"mi",output:"csc",ttype:UNARY,func:true},{input:"\\deg",tag:"mi",output:"deg",ttype:UNARY,func:true},{input:"\\det",tag:"mi",output:"det",ttype:UNARY,func:true},{input:"\\dim",tag:"mi",output:"dim",ttype:UNARY,func:true},{input:"\\exp",tag:"mi",output:"exp",ttype:UNARY,func:true},{input:"\\gcd",tag:"mi",output:"gcd",ttype:UNARY,func:true},{input:"\\hom",tag:"mi",output:"hom",ttype:UNARY,func:true},{input:"\\inf",tag:"mo",output:"inf",ttype:UNDEROVER},{input:"\\ker",tag:"mi",output:"ker",ttype:UNARY,func:true},{input:"\\lg",tag:"mi",output:"lg",ttype:UNARY,func:true},{input:"\\lim",tag:"mo",output:"lim",ttype:UNDEROVER},{input:"\\liminf",tag:"mo",output:"liminf",ttype:UNDEROVER},{input:"\\limsup",tag:"mo",output:"limsup",ttype:UNDEROVER},{input:"\\ln",tag:"mi",output:"ln",ttype:UNARY,func:true},{input:"\\log",tag:"mi",output:"log",ttype:UNARY,func:true},{input:"\\max",tag:"mo",output:"max",ttype:UNDEROVER},{input:"\\min",tag:"mo",output:"min",ttype:UNDEROVER},{input:"\\Pr",tag:"mi",output:"Pr",ttype:UNARY,func:true},{input:"\\sec",tag:"mi",output:"sec",ttype:UNARY,func:true},{input:"\\sin",tag:"mi",output:"sin",ttype:UNARY,func:true},{input:"\\sinh",tag:"mi",output:"sinh",ttype:UNARY,func:true},{input:"\\sup",tag:"mo",output:"sup",ttype:UNDEROVER},{input:"\\tan",tag:"mi",output:"tan",ttype:UNARY,func:true},{input:"\\tanh",tag:"mi",output:"tanh",ttype:UNARY,func:true},{input:"\\gets",tag:"mo",output:"\u2190",ttype:CONST},{input:"\\leftarrow",tag:"mo",output:"\u2190",ttype:CONST},{input:"\\to",tag:"mo",output:"\u2192",ttype:CONST},{input:"\\rightarrow",tag:"mo",output:"\u2192",ttype:CONST},{input:"\\leftrightarrow",tag:"mo",output:"\u2194",ttype:CONST},{input:"\\uparrow",tag:"mo",output:"\u2191",ttype:CONST},{input:"\\downarrow",tag:"mo",output:"\u2193",ttype:CONST},{input:"\\updownarrow",tag:"mo",output:"\u2195",ttype:CONST},{input:"\\Leftarrow",tag:"mo",output:"\u21D0",ttype:CONST},{input:"\\Rightarrow",tag:"mo",output:"\u21D2",ttype:CONST},{input:"\\Leftrightarrow",tag:"mo",output:"\u21D4",ttype:CONST},{input:"\\iff",tag:"mo",output:"~\\Longleftrightarrow~",ttype:DEFINITION},{input:"\\Uparrow",tag:"mo",output:"\u21D1",ttype:CONST},{input:"\\Downarrow",tag:"mo",output:"\u21D3",ttype:CONST},{input:"\\Updownarrow",tag:"mo",output:"\u21D5",ttype:CONST},{input:"\\mapsto",tag:"mo",output:"\u21A6",ttype:CONST},{input:"\\longleftarrow",tag:"mo",output:"\u2190",ttype:LONG},{input:"\\longrightarrow",tag:"mo",output:"\u2192",ttype:LONG},{input:"\\longleftrightarrow",tag:"mo",output:"\u2194",ttype:LONG},{input:"\\Longleftarrow",tag:"mo",output:"\u21D0",ttype:LONG},{input:"\\Longrightarrow",tag:"mo",output:"\u21D2",ttype:LONG},{input:"\\Longleftrightarrow",tag:"mo",output:"\u21D4",ttype:LONG},{input:"\\longmapsto",tag:"mo",output:"\u21A6",ttype:CONST},AMsqrt,AMroot,AMfrac,AMover,AMsub,AMsup,AMtext,AMmbox,AMatop,AMchoose,{input:"\\acute",tag:"mover",output:"\u00B4",ttype:UNARY,acc:true},{input:"\\grave",tag:"mover",output:"\u0060",ttype:UNARY,acc:true},{input:"\\breve",tag:"mover",output:"\u02D8",ttype:UNARY,acc:true},{input:"\\check",tag:"mover",output:"\u02C7",ttype:UNARY,acc:true},{input:"\\dot",tag:"mover",output:".",ttype:UNARY,acc:true},{input:"\\ddot",tag:"mover",output:"..",ttype:UNARY,acc:true},{input:"\\mathring",tag:"mover",output:"\u00B0",ttype:UNARY,acc:true},{input:"\\vec",tag:"mover",output:"\u20D7",ttype:UNARY,acc:true},{input:"\\overrightarrow",tag:"mover",output:"\u20D7",ttype:UNARY,acc:true},{input:"\\overleftarrow",tag:"mover",output:"\u20D6",ttype:UNARY,acc:true},{input:"\\hat",tag:"mover",output:"\u005E",ttype:UNARY,acc:true},{input:"\\widehat",tag:"mover",output:"\u0302",ttype:UNARY,acc:true},{input:"\\tilde",tag:"mover",output:"~",ttype:UNARY,acc:true},{input:"\\widetilde",tag:"mover",output:"\u02DC",ttype:UNARY,acc:true},{input:"\\bar",tag:"mover",output:"\u203E",ttype:UNARY,acc:true},{input:"\\overbrace",tag:"mover",output:"\uFE37",ttype:UNARY,acc:true},{input:"\\overbracket",tag:"mover",output:"\u23B4",ttype:UNARY,acc:true},{input:"\\overline",tag:"mover",output:"\u00AF",ttype:UNARY,acc:true},{input:"\\underbrace",tag:"munder",output:"\uFE38",ttype:UNARY,acc:true},{input:"\\underbracket",tag:"munder",output:"\u23B5",ttype:UNARY,acc:true},{input:"\\underline",tag:"munder",output:"\u00AF",ttype:UNARY,acc:true},{input:"\\displaystyle",tag:"mstyle",atname:"displaystyle",atval:"true",ttype:UNARY},{input:"\\textstyle",tag:"mstyle",atname:"displaystyle",atval:"false",ttype:UNARY},{input:"\\scriptstyle",tag:"mstyle",atname:"scriptlevel",atval:"1",ttype:UNARY},{input:"\\scriptscriptstyle",tag:"mstyle",atname:"scriptlevel",atval:"2",ttype:UNARY},{input:"\\textrm",tag:"mstyle",output:"\\mathrm",ttype:DEFINITION},{input:"\\mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",ttype:UNARY},{input:"\\textbf",tag:"mstyle",atname:"mathvariant",atval:"bold",ttype:UNARY},{input:"\\mathit",tag:"mstyle",atname:"mathvariant",atval:"italic",ttype:UNARY},{input:"\\textit",tag:"mstyle",atname:"mathvariant",atval:"italic",ttype:UNARY},{input:"\\mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",ttype:UNARY},{input:"\\texttt",tag:"mstyle",atname:"mathvariant",atval:"monospace",ttype:UNARY},{input:"\\mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",ttype:UNARY},{input:"\\mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",ttype:UNARY,codes:AMbbb},{input:"\\mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",ttype:UNARY,codes:AMcal},{input:"\\mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",ttype:UNARY,codes:AMfrk},{input:"\\textcolor",tag:"mstyle",atname:"mathvariant",atval:"mathcolor",ttype:BINARY},{input:"\\colorbox",tag:"mstyle",atname:"mathvariant",atval:"background",ttype:BINARY}];function compareNames(s1,s2){if(s1.input>s2.input)return 1 +else return-1;} +var AMnames=[];function AMinitSymbols(){AMsymbols.sort(compareNames);for(i=0;i<AMsymbols.length;i++)AMnames[i]=AMsymbols[i].input;} +var AMmathml="http://www.w3.org/1998/Math/MathML";function AMcreateElementMathML(t){if(isIE)return document.createElement("m:"+t);else return document.createElementNS(AMmathml,t);} +function AMcreateMmlNode(t,frag){if(isIE)var node=document.createElement("m:"+t);else var node=document.createElementNS(AMmathml,t);node.appendChild(frag);return node;} +function newcommand(oldstr,newstr){AMsymbols=AMsymbols.concat([{input:oldstr,tag:"mo",output:newstr,ttype:DEFINITION}]);} +function AMremoveCharsAndBlanks(str,n){var st;st=str.slice(n);for(var i=0;i<st.length&&st.charCodeAt(i)<=32;i=i+1);return st.slice(i);} +function AMposition(arr,str,n){if(n==0){var h,m;n=-1;h=arr.length;while(n+1<h){m=(n+h)>>1;if(arr[m]<str)n=m;else h=m;} +return h;}else +for(var i=n;i<arr.length&&arr[i]<str;i++);return i;} +function AMgetSymbol(str){var k=0;var j=0;var mk;var st;var tagst;var match="";var more=true;for(var i=1;i<=str.length&&more;i++){st=str.slice(0,i);j=k;k=AMposition(AMnames,st,j);if(k<AMnames.length&&str.slice(0,AMnames[k].length)==AMnames[k]){match=AMnames[k];mk=k;i=match.length;} +more=k<AMnames.length&&str.slice(0,AMnames[k].length)>=AMnames[k];} +AMpreviousSymbol=AMcurrentSymbol;if(match!=""){AMcurrentSymbol=AMsymbols[mk].ttype;return AMsymbols[mk];} +AMcurrentSymbol=CONST;k=1;st=str.slice(0,1);if("0"<=st&&st<="9")tagst="mn";else tagst=(("A">st||st>"Z")&&("a">st||st>"z")?"mo":"mi");return{input:st,tag:tagst,output:st,ttype:CONST};} +var AMpreviousSymbol,AMcurrentSymbol;function AMparseSexpr(str){var symbol,node,result,result2,i,st,newFrag=document.createDocumentFragment();str=AMremoveCharsAndBlanks(str,0);symbol=AMgetSymbol(str);if(symbol==null||symbol.ttype==RIGHTBRACKET) +return[null,str,null];if(symbol.ttype==DEFINITION){str=symbol.output+AMremoveCharsAndBlanks(str,symbol.input.length);symbol=AMgetSymbol(str);if(symbol==null||symbol.ttype==RIGHTBRACKET) +return[null,str,null];} +str=AMremoveCharsAndBlanks(str,symbol.input.length);switch(symbol.ttype){case SPACE:node=AMcreateElementMathML(symbol.tag);node.setAttribute(symbol.atname,symbol.atval);return[node,str,symbol.tag];case UNDEROVER:if(isIE){if(symbol.input.substr(0,4)=="\\big"){str="\\"+symbol.input.substr(4)+str;symbol=AMgetSymbol(str);symbol.ttype=UNDEROVER;str=AMremoveCharsAndBlanks(str,symbol.input.length);}} +return[AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)),str,symbol.tag];case CONST:var output=symbol.output;if(isIE){if(symbol.input=="'") +output="\u2032";else if(symbol.input=="''") +output="\u2033";else if(symbol.input=="'''") +output="\u2033\u2032";else if(symbol.input=="''''") +output="\u2033\u2033";else if(symbol.input=="\\square") +output="\u25A1";else if(symbol.input.substr(0,5)=="\\frac"){var denom=symbol.input.substr(6,1);if(denom=="5"||denom=="6"){str=symbol.input.replace(/\\frac/,"\\frac ")+str;return[node,str,symbol.tag];}}} +node=AMcreateMmlNode(symbol.tag,document.createTextNode(output));return[node,str,symbol.tag];case LONG:node=AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output));node.setAttribute("minsize","1.5");node.setAttribute("maxsize","1.5");node=AMcreateMmlNode("mover",node);node.appendChild(AMcreateElementMathML("mspace"));return[node,str,symbol.tag];case STRETCHY:if(isIE&&symbol.input=="\\backslash") +symbol.output="\\";node=AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output));if(symbol.input=="|"||symbol.input=="\\vert"||symbol.input=="\\|"||symbol.input=="\\Vert"){node.setAttribute("lspace","0em");node.setAttribute("rspace","0em");} +node.setAttribute("maxsize",symbol.atval);if(symbol.rtag!=null) +return[node,str,symbol.rtag];else +return[node,str,symbol.tag];case BIG:var atval=symbol.atval;if(isIE) +atval=symbol.ieval;symbol=AMgetSymbol(str);if(symbol==null) +return[null,str,null];str=AMremoveCharsAndBlanks(str,symbol.input.length);node=AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output));if(isIE){var space=AMcreateElementMathML("mspace");space.setAttribute("height",atval+"ex");node=AMcreateMmlNode("mrow",node);node.appendChild(space);}else{node.setAttribute("minsize",atval);node.setAttribute("maxsize",atval);} +return[node,str,symbol.tag];case LEFTBRACKET:if(symbol.input=="\\left"){symbol=AMgetSymbol(str);if(symbol!=null){if(symbol.input==".") +symbol.invisible=true;str=AMremoveCharsAndBlanks(str,symbol.input.length);}} +result=AMparseExpr(str,true,false);if(symbol==null||(typeof symbol.invisible=="boolean"&&symbol.invisible)) +node=AMcreateMmlNode("mrow",result[0]);else{node=AMcreateMmlNode("mo",document.createTextNode(symbol.output));node=AMcreateMmlNode("mrow",node);node.appendChild(result[0]);} +return[node,result[1],result[2]];case MATRIX:if(symbol.input=="\\begin{array}"){var mask="";symbol=AMgetSymbol(str);str=AMremoveCharsAndBlanks(str,0);if(symbol==null) +mask="l";else{str=AMremoveCharsAndBlanks(str,symbol.input.length);if(symbol.input!="{") +mask="l";else do{symbol=AMgetSymbol(str);if(symbol!=null){str=AMremoveCharsAndBlanks(str,symbol.input.length);if(symbol.input!="}") +mask=mask+symbol.input;}}while(symbol!=null&&symbol.input!=""&&symbol.input!="}");} +result=AMparseExpr("{"+str,true,true);node=AMcreateMmlNode("mtable",result[0]);mask=mask.replace(/l/g,"left ");mask=mask.replace(/r/g,"right ");mask=mask.replace(/c/g,"center ");node.setAttribute("columnalign",mask);node.setAttribute("displaystyle","false");if(isIE) +return[node,result[1],null];var lspace=AMcreateElementMathML("mspace");lspace.setAttribute("width","0.167em");var rspace=AMcreateElementMathML("mspace");rspace.setAttribute("width","0.167em");var node1=AMcreateMmlNode("mrow",lspace);node1.appendChild(node);node1.appendChild(rspace);return[node1,result[1],null];}else{result=AMparseExpr("{"+str,true,true);node=AMcreateMmlNode("mtable",result[0]);if(isIE) +node.setAttribute("columnspacing","0.25em");else +node.setAttribute("columnspacing","0.167em");node.setAttribute("columnalign","right center left");node.setAttribute("displaystyle","true");node=AMcreateMmlNode("mrow",node);return[node,result[1],null];} +case TEXT:if(str.charAt(0)=="{")i=str.indexOf("}");else i=0;if(i==-1) +i=str.length;st=str.slice(1,i);if(st.charAt(0)==" "){node=AMcreateElementMathML("mspace");node.setAttribute("width","0.33em");newFrag.appendChild(node);} +newFrag.appendChild(AMcreateMmlNode(symbol.tag,document.createTextNode(st)));if(st.charAt(st.length-1)==" "){node=AMcreateElementMathML("mspace");node.setAttribute("width","0.33em");newFrag.appendChild(node);} +str=AMremoveCharsAndBlanks(str,i+1);return[AMcreateMmlNode("mrow",newFrag),str,null];case UNARY:result=AMparseSexpr(str);if(result[0]==null)return[AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)),str];if(typeof symbol.func=="boolean"&&symbol.func){st=str.charAt(0);if(st=="^"||st=="_"||st==","){return[AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)),str,symbol.tag];}else{node=AMcreateMmlNode("mrow",AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)));if(isIE){var space=AMcreateElementMathML("mspace");space.setAttribute("width","0.167em");node.appendChild(space);} +node.appendChild(result[0]);return[node,result[1],symbol.tag];}} +if(symbol.input=="\\sqrt"){if(isIE){var space=AMcreateElementMathML("mspace");space.setAttribute("height","1.2ex");space.setAttribute("width","0em");node=AMcreateMmlNode(symbol.tag,result[0]) +node.appendChild(space);return[node,result[1],symbol.tag];}else +return[AMcreateMmlNode(symbol.tag,result[0]),result[1],symbol.tag];}else if(typeof symbol.acc=="boolean"&&symbol.acc){node=AMcreateMmlNode(symbol.tag,result[0]);var output=symbol.output;if(isIE){if(symbol.input=="\\hat") +output="\u0302";else if(symbol.input=="\\widehat") +output="\u005E";else if(symbol.input=="\\bar") +output="\u00AF";else if(symbol.input=="\\grave") +output="\u0300";else if(symbol.input=="\\tilde") +output="\u0303";} +var node1=AMcreateMmlNode("mo",document.createTextNode(output));if(symbol.input=="\\vec"||symbol.input=="\\check") +node1.setAttribute("maxsize","1.2");if(isIE&&symbol.input=="\\bar") +node1.setAttribute("maxsize","0.5");if(symbol.input=="\\underbrace"||symbol.input=="\\underline") +node1.setAttribute("accentunder","true");else +node1.setAttribute("accent","true");node.appendChild(node1);if(symbol.input=="\\overbrace"||symbol.input=="\\underbrace") +node.ttype=UNDEROVER;return[node,result[1],symbol.tag];}else{if(!isIE&&typeof symbol.codes!="undefined"){for(i=0;i<result[0].childNodes.length;i++) +if(result[0].childNodes[i].nodeName=="mi"||result[0].nodeName=="mi"){st=(result[0].nodeName=="mi"?result[0].firstChild.nodeValue:result[0].childNodes[i].firstChild.nodeValue);var newst=[];for(var j=0;j<st.length;j++) +if(st.charCodeAt(j)>64&&st.charCodeAt(j)<91)newst=newst+ +String.fromCharCode(symbol.codes[st.charCodeAt(j)-65]);else newst=newst+st.charAt(j);if(result[0].nodeName=="mi") +result[0]=AMcreateElementMathML("mo").appendChild(document.createTextNode(newst));else result[0].replaceChild(AMcreateElementMathML("mo").appendChild(document.createTextNode(newst)),result[0].childNodes[i]);}} +node=AMcreateMmlNode(symbol.tag,result[0]);node.setAttribute(symbol.atname,symbol.atval);if(symbol.input=="\\scriptstyle"||symbol.input=="\\scriptscriptstyle") +node.setAttribute("displaystyle","false");return[node,result[1],symbol.tag];} +case BINARY:result=AMparseSexpr(str);if(result[0]==null)return[AMcreateMmlNode("mo",document.createTextNode(symbol.input)),str,null];result2=AMparseSexpr(result[1]);if(result2[0]==null)return[AMcreateMmlNode("mo",document.createTextNode(symbol.input)),str,null];if(symbol.input=="\\textcolor"||symbol.input=="\\colorbox"){var tclr=str.match(/\{\s*([#\w]+)\s*\}/);str=str.replace(/\{\s*[#\w]+\s*\}/,"");if(tclr!=null){if(IsColorName.test(tclr[1].toLowerCase())){tclr=LaTeXColor[tclr[1].toLowerCase()];}else{tclr=tclr[1];} +node=AMcreateElementMathML("mstyle");node.setAttribute(symbol.atval,tclr);node.appendChild(result2[0]);return[node,result2[1],symbol.tag];}} +if(symbol.input=="\\root"||symbol.input=="\\stackrel")newFrag.appendChild(result2[0]);newFrag.appendChild(result[0]);if(symbol.input=="\\frac")newFrag.appendChild(result2[0]);return[AMcreateMmlNode(symbol.tag,newFrag),result2[1],symbol.tag];case INFIX:str=AMremoveCharsAndBlanks(str,symbol.input.length);return[AMcreateMmlNode("mo",document.createTextNode(symbol.output)),str,symbol.tag];default:return[AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)),str,symbol.tag];}} +function AMparseIexpr(str){var symbol,sym1,sym2,node,result,tag,underover;str=AMremoveCharsAndBlanks(str,0);sym1=AMgetSymbol(str);result=AMparseSexpr(str);node=result[0];str=result[1];tag=result[2];symbol=AMgetSymbol(str);if(symbol.ttype==INFIX){str=AMremoveCharsAndBlanks(str,symbol.input.length);result=AMparseSexpr(str);if(result[0]==null) +result[0]=AMcreateMmlNode("mo",document.createTextNode("\u25A1"));str=result[1];tag=result[2];if(symbol.input=="_"||symbol.input=="^"){sym2=AMgetSymbol(str);tag=null;underover=((sym1.ttype==UNDEROVER)||(node.ttype==UNDEROVER));if(symbol.input=="_"&&sym2.input=="^"){str=AMremoveCharsAndBlanks(str,sym2.input.length);var res2=AMparseSexpr(str);str=res2[1];tag=res2[2];node=AMcreateMmlNode((underover?"munderover":"msubsup"),node);node.appendChild(result[0]);node.appendChild(res2[0]);}else if(symbol.input=="_"){node=AMcreateMmlNode((underover?"munder":"msub"),node);node.appendChild(result[0]);}else{node=AMcreateMmlNode((underover?"mover":"msup"),node);node.appendChild(result[0]);} +node=AMcreateMmlNode("mrow",node);}else{node=AMcreateMmlNode(symbol.tag,node);if(symbol.input=="\\atop"||symbol.input=="\\choose") +node.setAttribute("linethickness","0ex");node.appendChild(result[0]);if(symbol.input=="\\choose") +node=AMcreateMmlNode("mfenced",node);}} +return[node,str,tag];} +function AMparseExpr(str,rightbracket,matrix){var symbol,node,result,i,tag,newFrag=document.createDocumentFragment();do{str=AMremoveCharsAndBlanks(str,0);result=AMparseIexpr(str);node=result[0];str=result[1];tag=result[2];symbol=AMgetSymbol(str);if(node!=undefined){if((tag=="mn"||tag=="mi")&&symbol!=null&&typeof symbol.func=="boolean"&&symbol.func){var space=AMcreateElementMathML("mspace");space.setAttribute("width","0.167em");node=AMcreateMmlNode("mrow",node);node.appendChild(space);} +newFrag.appendChild(node);}}while((symbol.ttype!=RIGHTBRACKET)&&symbol!=null&&symbol.output!="");tag=null;if(symbol.ttype==RIGHTBRACKET){if(symbol.input=="\\right"){str=AMremoveCharsAndBlanks(str,symbol.input.length);symbol=AMgetSymbol(str);if(symbol!=null&&symbol.input==".") +symbol.invisible=true;if(symbol!=null) +tag=symbol.rtag;} +if(symbol!=null) +str=AMremoveCharsAndBlanks(str,symbol.input.length);var len=newFrag.childNodes.length;if(matrix&&len>0&&newFrag.childNodes[len-1].nodeName=="mrow"&&len>1&&newFrag.childNodes[len-2].nodeName=="mo"&&newFrag.childNodes[len-2].firstChild.nodeValue=="&"){var pos=[];var m=newFrag.childNodes.length;for(i=0;matrix&&i<m;i=i+2){pos[i]=[];node=newFrag.childNodes[i];for(var j=0;j<node.childNodes.length;j++) +if(node.childNodes[j].firstChild.nodeValue=="&") +pos[i][pos[i].length]=j;} +var row,frag,n,k,table=document.createDocumentFragment();for(i=0;i<m;i=i+2){row=document.createDocumentFragment();frag=document.createDocumentFragment();node=newFrag.firstChild;n=node.childNodes.length;k=0;for(j=0;j<n;j++){if(typeof pos[i][k]!="undefined"&&j==pos[i][k]){node.removeChild(node.firstChild);row.appendChild(AMcreateMmlNode("mtd",frag));k++;}else frag.appendChild(node.firstChild);} +row.appendChild(AMcreateMmlNode("mtd",frag));if(newFrag.childNodes.length>2){newFrag.removeChild(newFrag.firstChild);newFrag.removeChild(newFrag.firstChild);} +table.appendChild(AMcreateMmlNode("mtr",row));} +return[table,str];} +if(typeof symbol.invisible!="boolean"||!symbol.invisible){node=AMcreateMmlNode("mo",document.createTextNode(symbol.output));newFrag.appendChild(node);}} +return[newFrag,str,tag];} +function AMparseMath(str){var result,node=AMcreateElementMathML("mstyle");var cclr=str.match(/\\color\s*\{\s*([#\w]+)\s*\}/);str=str.replace(/\\color\s*\{\s*[#\w]+\s*\}/g,"");if(cclr!=null){if(IsColorName.test(cclr[1].toLowerCase())){cclr=LaTeXColor[cclr[1].toLowerCase()];}else{cclr=cclr[1];} +node.setAttribute("mathcolor",cclr);}else{if(mathcolor!="")node.setAttribute("mathcolor",mathcolor);};if(mathfontfamily!="")node.setAttribute("fontfamily",mathfontfamily);node.appendChild(AMparseExpr(str.replace(/^\s+/g,""),false,false)[0]);node=AMcreateMmlNode("math",node);if(showasciiformulaonhover) +node.setAttribute("title",str.replace(/\s+/g," "));if(false){var fnode=AMcreateElementXHTML("font");fnode.setAttribute("face",mathfontfamily);fnode.appendChild(node);return fnode;} +return node;} +function AMstrarr2docFrag(arr,linebreaks){var newFrag=document.createDocumentFragment();var expr=false;for(var i=0;i<arr.length;i++){if(expr)newFrag.appendChild(AMparseMath(arr[i]));else{var arri=(linebreaks?arr[i].split("\n\n"):[arr[i]]);newFrag.appendChild(AMcreateElementXHTML("span").appendChild(document.createTextNode(arri[0])));for(var j=1;j<arri.length;j++){newFrag.appendChild(AMcreateElementXHTML("p"));newFrag.appendChild(AMcreateElementXHTML("span").appendChild(document.createTextNode(arri[j])));}} +expr=!expr;} +return newFrag;} +function AMprocessNodeR(n,linebreaks){var mtch,str,arr,frg,i;if(n.childNodes.length==0){if((n.nodeType!=8||linebreaks)&&n.parentNode.nodeName!="form"&&n.parentNode.nodeName!="FORM"&&n.parentNode.nodeName!="textarea"&&n.parentNode.nodeName!="TEXTAREA"&&n.parentNode.nodeName!="pre"&&n.parentNode.nodeName!="PRE"){str=n.nodeValue;if(!(str==null)){str=str.replace(/\r\n\r\n/g,"\n\n");str=str.replace(/\x20+/g," ");str=str.replace(/\s*\r\n/g," ");mtch=(str.indexOf("\$")==-1?false:true);str=str.replace(/([^\\])\$/g,"$1 \$");str=str.replace(/^\$/," \$");arr=str.split(" \$");for(i=0;i<arr.length;i++) +arr[i]=arr[i].replace(/\\\$/g,"\$");if(arr.length>1||mtch){if(checkForMathML){checkForMathML=false;var nd=AMisMathMLavailable();AMnoMathML=nd!=null;if(AMnoMathML&¬ifyIfNoMathML) +if(alertIfNoMathML) +alert("To view the ASCIIMathML notation use Internet Explorer 6 +\nMathPlayer (free from www.dessci.com)\nor Firefox/Mozilla/Netscape");else AMbody.insertBefore(nd,AMbody.childNodes[0]);} +if(!AMnoMathML){frg=AMstrarr2docFrag(arr,n.nodeType==8);var len=frg.childNodes.length;n.parentNode.replaceChild(frg,n);return len-1;}else return 0;}}}else return 0;}else if(n.nodeName!="math"){for(i=0;i<n.childNodes.length;i++) +i+=AMprocessNodeR(n.childNodes[i],linebreaks);} +return 0;} +function AMprocessNode(n,linebreaks,spanclassAM){var frag,st;if(spanclassAM!=null){frag=document.getElementsByTagName("span") +for(var i=0;i<frag.length;i++) +if(frag[i].className=="AM") +AMprocessNodeR(frag[i],linebreaks);}else{try{st=n.innerHTML;}catch(err){} +if(st==null||st.indexOf("\$")!=-1) +AMprocessNodeR(n,linebreaks);} +if(isIE){frag=document.getElementsByTagName('math');for(var i=0;i<frag.length;i++)frag[i].update()}} +var inAppendix=false;var sectionCntr=0;var IEcommentWarning=true;var biblist=[];var bibcntr=0;var LaTeXCounter=[];LaTeXCounter["definition"]=0;LaTeXCounter["proposition"]=0;LaTeXCounter["lemma"]=0;LaTeXCounter["theorem"]=0;LaTeXCounter["corollary"]=0;LaTeXCounter["example"]=0;LaTeXCounter["exercise"]=0;LaTeXCounter["subsection"]=0;LaTeXCounter["subsubsection"]=0;LaTeXCounter["figure"]=0;LaTeXCounter["equation"]=0;LaTeXCounter["table"]=0;var LaTeXColor=[];LaTeXColor["greenyellow"]="#D9FF4F";LaTeXColor["yellow"]="#FFFF00";LaTeXColor["goldenrod"]="#FFE529";LaTeXColor["dandelion"]="#FFB529";LaTeXColor["apricot"]="#FFAD7A";LaTeXColor["peach"]="#FF804D";LaTeXColor["melon"]="#FF8A80";LaTeXColor["yelloworange"]="#FF9400";LaTeXColor["orange"]="#FF6321";LaTeXColor["burntorange"]="#FF7D00";LaTeXColor["bittersweet"]="#C20300";LaTeXColor["redorange"]="#FF3B21";LaTeXColor["mahogany"]="#A60000";LaTeXColor["maroon"]="#AD0000";LaTeXColor["brickred"]="#B80000";LaTeXColor["red"]="#FF0000";LaTeXColor["orangered"]="#FF0080";LaTeXColor["rubinered"]="#FF00DE";LaTeXColor["wildstrawberry"]="#FF0A9C";LaTeXColor["salmon"]="#FF789E";LaTeXColor["carnationpink"]="#FF5EFF";LaTeXColor["magenta"]="#FF00FF";LaTeXColor["violetred"]="#FF30FF";LaTeXColor["rhodamine"]="#FF2EFF";LaTeXColor["mulberry"]="#A314FA";LaTeXColor["redviolet"]="#9600A8";LaTeXColor["fuchsia"]="#7303EB";LaTeXColor["lavender"]="#FF85FF";LaTeXColor["thistle"]="#E069FF";LaTeXColor["orchid"]="#AD5CFF";LaTeXColor["darkorchid"]="#9933CC";LaTeXColor["purple"]="#8C24FF";LaTeXColor["plum"]="#8000FF";LaTeXColor["violet"]="#361FFF";LaTeXColor["royalpurple"]="#401AFF";LaTeXColor["blueviolet"]="#1A0DF5";LaTeXColor["periwinkle"]="#6E73FF";LaTeXColor["cadetblue"]="#616EC4";LaTeXColor["cornflowerblue"]="#59DEFF";LaTeXColor["midnightblue"]="#007091";LaTeXColor["navyblue"]="#0F75FF";LaTeXColor["royalblue"]="#0080FF";LaTeXColor["blue"]="#0000FF";LaTeXColor["cerulean"]="#0FE3FF";LaTeXColor["cyan"]="#00FFFF";LaTeXColor["processblue"]="#0AFFFF";LaTeXColor["skyblue"]="#61FFE0";LaTeXColor["turquoise"]="#26FFCC";LaTeXColor["tealblue"]="#1FFAA3";LaTeXColor["aquamarine"]="#2EFFB2";LaTeXColor["bluegreen"]="#26FFAB";LaTeXColor["emerald"]="#00FF80";LaTeXColor["junglegreen"]="#03FF7A";LaTeXColor["seagreen"]="#4FFF80";LaTeXColor["green"]="#00FF00";LaTeXColor["forestgreen"]="#00E000";LaTeXColor["pinegreen"]="#00BF29";LaTeXColor["limegreen"]="#80FF00";LaTeXColor["yellowgreen"]="#8FFF42";LaTeXColor["springgreen"]="#BDFF3D";LaTeXColor["olivegreen"]="#009900";LaTeXColor["rawsienna"]="#8C0000";LaTeXColor["sepia"]="#4D0000";LaTeXColor["brown"]="#660000";LaTeXColor["tan"]="#DB9470";LaTeXColor["gray"]="#808080";LaTeXColor["grey"]="#808080";LaTeXColor["black"]="#000000";LaTeXColor["white"]="#FFFFFF";var IsColorName=/^(?:greenyellow|yellow|goldenrod|dandelion|apricot|peach|melon|yelloworange|orange|burntorange|bittersweet|redorange|mahogany|maroon|brickred|red|orangered|rubinered|wildstrawberry|salmon|carnationpink|magenta|violetred|rhodamine|mulberry|redviolet|fuchsia|lavender|thistle|orchid|darkorchid|purple|plum|violet|royalpurple|blueviolet|periwinkle|cadetblue|cornflowerblue|midnightblue|navyblue|royalblue|blue|cerulean|cyan|processblue|skyblue|turquoise|tealblue|aquamarine|bluegreen|emerald|junglegreen|seagreen|green|forestgreen|pinegreen|limegreen|yellowgreen|springgreen|olivegreen|rawsienna|sepia|brown|tan|gray|grey|black|white)$/;var IsCounter=/^(?:definition|proposition|lemma|theorem|corollary|example|exercise|subsection|subsubsection|figure|equation|table)$/;var IsLaTeXElement=/^(?:displayequation|title|author|address|date|abstract|keyword|section|subsection|subsubsection|ref|cite|thebibliography|definition|proposition|lemma|theorem|corollary|example|exercise|itemize|enumerate|enddefinition|endproposition|endlemma|endtheorem|endcorollary|endexample|endexercise|enditemize|endenumerate|LaTeXMathMLlabel|LaTeXMathML|smallskip|medskip|bigskip|quote|quotation|endquote|endquotation|center|endcenter|description|enddescription|inlinemath)$/;var IsTextOnlyArea=/^(?:form|textarea|pre)$/i;var tableid=0;function makeNumberString(cntr){if(sectionCntr>0){if(inAppendix){return"A"+sectionCntr+"."+cntr;}else{return sectionCntr+"."+cntr;}}else{return""+cntr;}};function LaTeXpreProcess(thebody){var TheBody=thebody;if(TheBody.hasChildNodes()){if(!(IsLaTeXElement.test(TheBody.className))) +{for(var i=0;i<TheBody.childNodes.length;i++){LaTeXpreProcess(TheBody.childNodes[i])}}} +else{if(TheBody.nodeType==3&&!(IsTextOnlyArea.test(TheBody.parentNode.nodeName))) +{var str=TheBody.nodeValue;if(!(str==null)){str=str.replace(/\\%/g,"<per>");str=str.replace(/%[^\n]*(?=\n)/g,"");str=str.replace(/%[^\r]*(?=\r)/g,"");str=str.replace(/%[^\n]*$/,"") +if(isIE&&str.match(/%/g)!=null&&IEcommentWarning){alert("Comments may not have parsed properly. Try putting in <pre class='LaTeX><div>..</div></pre> structure.");IEcommentWarning=false;} +str=str.replace(/<per>/g,"%");if(str.match(/XXX[\s\S]*/)!=null){var tmp=str.match(/XXX[\s\S]*/)[0];var tmpstr=tmp.charCodeAt(7)+"::"+tmp.charCodeAt(8)+"::"+tmp.charCodeAt(9)+"::"+tmp.charCodeAt(10)+"::"+tmp.charCodeAt(11)+"::"+tmp.charCodeAt(12)+"::"+tmp.charCodeAt(13);alert(tmpstr);} +str=str.replace(/([^\\])\\(\s)/g,"$1\u00A0$2");str=str.replace(/\\quad/g,"\u2001");str=str.replace(/\\qquad/g,"\u2001\u2001");str=str.replace(/\\enspace/g,"\u2002");str=str.replace(/\\;/g,"\u2004");str=str.replace(/\\:/g,"\u2005");str=str.replace(/\\,/g,"\u2006");str=str.replace(/\\thinspace/g,"\u200A");str=str.replace(/([^\\])~/g,"$1\u00A0");str=str.replace(/\\~/g,"~");str=str.replace(/\\\[/g," <DEQ> $\\displaystyle{");str=str.replace(/\\\]/g,"}$ <DEQ> ");str=str.replace(/\$\$/g,"${$<DEQ>$}$");str=str.replace(/\\begin\s*\{\s*array\s*\}/g,"\\begin{array}");str=str.replace(/\\end\s*\{\s*array\s*\}/g,"\\end{array}");str=str.replace(/\\begin\s*\{\s*eqnarray\s*\}/g," <DEQ>eqno$\\begin{eqnarray}");str=str.replace(/\\end\s*\{\s*eqnarray\s*\}/g,"\\end{eqnarray}$<DEQ> ");str=str.replace(/\\begin\s*\{\s*eqnarray\*\s*\}/g," <DEQ>$\\begin{eqnarray}");str=str.replace(/\\end\s*\{\s*eqnarray\*\s*\}/g,"\\end{eqnarray}$<DEQ> ");str=str.replace(/\\begin\s*\{\s*displaymath\s*\}/g," <DEQ> $\\displaystyle{");str=str.replace(/\\end\s*\{\s*displaymath\s*\}/g,"}$ <DEQ> ");str=str.replace(/\\begin\s*\{\s*equation\s*\*\s*\}/g," <DEQ> $\\displaystyle{");str=str.replace(/\\end\s*\{\s*equation\s*\*\s*\}/g,"}$ <DEQ> ");str=str.replace(/\\begin\s*\{\s*equation\s*\}/g," <DEQ>eqno$\\displaystyle{");str=str.replace(/\\end\s*\{\s*equation\s*\}/g,"}$ <DEQ> ");str=str.split("<DEQ>");var newFrag=document.createDocumentFragment();for(var i=0;i<str.length;i++){if(i%2){var DEQtable=document.createElement("table");DEQtable.className='displayequation';var DEQtbody=document.createElement("tbody");var DEQtr=document.createElement("tr");var DEQtdeq=document.createElement("td");DEQtdeq.className='eq';str[i]=str[i].replace(/\$\}\$/g,"$\\displaystyle{");str[i]=str[i].replace(/\$\{\$/g,"}");var lbl=str[i].match(/\\label\s*\{\s*(\w+)\s*\}/);var ISeqno=str[i].match(/^eqno/);str[i]=str[i].replace(/^eqno/," ");str[i]=str[i].replace(/\\label\s*\{\s*\w+\s*\}/," ");DEQtdeq.appendChild(document.createTextNode(str[i]));DEQtr.appendChild(DEQtdeq);str[i]=str[i].replace(/\\nonumber/g,"");if(ISeqno!=null||lbl!=null){var DEQtdno=document.createElement("td");DEQtdno.className='eqno';LaTeXCounter["equation"]++;var eqnoString=makeNumberString(LaTeXCounter["equation"]);var DEQanchor=document.createElement("a");if(lbl!=null){DEQanchor.id=lbl[1]};DEQanchor.className="eqno";var anchorSpan=document.createElement("span");anchorSpan.className="eqno";anchorSpan.style.display="none";anchorSpan.appendChild(document.createTextNode(eqnoString));DEQanchor.appendChild(anchorSpan);DEQtdno.appendChild(DEQanchor);var DEQspan=document.createElement("span");DEQspan.className="eqno";DEQspan.appendChild(document.createTextNode("("+eqnoString+")"));DEQtdno.appendChild(DEQspan);DEQtr.appendChild(DEQtdno);} +DEQtbody.appendChild(DEQtr);DEQtable.appendChild(DEQtbody);newFrag.appendChild(DEQtable);} +else{str[i]=str[i].replace(/\$\}\$/g,"");str[i]=str[i].replace(/\$\{\$/g,"");str[i]=str[i].replace(/\\maketitle/g,"");str[i]=str[i].replace(/\\begin\s*\{\s*document\s*\}/g,"");str[i]=str[i].replace(/\\end\s*\{\s*document\s*\}/g,"");str[i]=str[i].replace(/\\documentclass[^\}]*?\}/g,"");str[i]=str[i].replace(/\\usepackage[^\}]*?\}/g,"");str[i]=str[i].replace(/\\noindent/g,"");str[i]=str[i].replace(/\\notag/g,"");str[i]=str[i].replace(/\\ref\s*\{\s*(\w+)\}/g," \\[ref\\]$1\\[ ");str[i]=str[i].replace(/\\url\s*\{\s*([^\}\n]+)\}/g," \\[url\\]$1\\[ ");str[i]=str[i].replace(/\\href\s*\{\s*([^\}]+)\}\s*\{\s*([^\}]+)\}/g," \\[href\\]$1\\]$2\\[ ");str[i]=str[i].replace(/\\cite\s*\{\s*(\w+)\}/g," \\[cite\\]$1\\[ ");str[i]=str[i].replace(/\\qed/g,"\u220E");str[i]=str[i].replace(/\\endproof/g,"\u220E");str[i]=str[i].replace(/\\proof/g,"\\textbf{Proof: }");str[i]=str[i].replace(/\\n(?=\s)/g," \\[br\\] \\[ ");str[i]=str[i].replace(/\\newline/g," \\[br\\] \\[ ");str[i]=str[i].replace(/\\linebreak/g," \\[br\\] \\[ ");str[i]=str[i].replace(/\\smallskip/g," \\[logicalbreak\\]smallskip\\[ ");str[i]=str[i].replace(/\\medskip/g," \\[logicalbreak\\]medskip\\[ ");str[i]=str[i].replace(/\\bigskip/g," \\[logicalbreak\\]bigskip\\[ ");str[i]=str[i].replace(/[\n\r]+[ \f\n\r\t\v\u2028\u2029]*[\n\r]+/g," \\[logicalbreak\\]LaTeXMathML\\[ ");if(isIE){str[i]=str[i].replace(/\r/g," ");} +str[i]=str[i].replace(/\\bibitem\s*([^\{]*\{\s*\w*\s*\})/g," \\[bibitem\\]$1\\[ ");str[i]=str[i].replace(/\\bibitem\s*/g," \\[bibitem\\] \\[ ");str[i]=str[i].replace(/\\item\s*\[\s*(\w+)\s*\]/g," \\[alistitem\\]$1\\[ ");str[i]=str[i].replace(/\\item\s*/g," \\[alistitem\\] \\[ ");str[i]=str[i].replace(/\\appendix/g," \\[appendix\\] \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*figure\s*\}([\s\S]+?)\\end\s*\{\s*figure\s*\}/g," \\[figure\\]$1\\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*table\s*\}([\s\S]+?)\\end\s*\{\s*table\s*\}/g," \\[table\\]$1\\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*theorem\s*\}/g," \\[theorem\\]Theorem \\[ ");str[i]=str[i].replace(/\\end\s*\{\s*theorem\s*\}/g," \\[endtheorem\\] \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*definition\s*\}/g," \\[definition\\]Definition \\[ ");str[i]=str[i].replace(/\\end\s*\{\s*definition\s*\}/g," \\[enddefinition\\] \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*lemma\s*\}/g," \\[lemma\\]Lemma \\[ ");str[i]=str[i].replace(/\\end\s*\{\s*lemma\s*\}/g," \\[endlemma\\] \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*corollary\s*\}/g," \\[corollary\\]Corollary \\[ ");str[i]=str[i].replace(/\\end\s*\{\s*corollary\s*\}/g," \\[endcorollary\\] \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*proposition\s*\}/g," \\[proposition\\]Proposition \\[ ");str[i]=str[i].replace(/\\end\s*\{\s*proposition\s*\}/g," \\[endproposition\\] \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*example\s*\}/g," \\[example\\]Example \\[ ");str[i]=str[i].replace(/\\end\s*\{\s*example\s*\}/g," \\[endexample\\] \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*exercise\s*\}/g," \\[exercise\\]Exercise \\[ ");str[i]=str[i].replace(/\\end\s*\{\s*exercise\s*\}/g," \\[endexercise\\] \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*thebibliography\s*\}\s*\{\s*\w+\s*\}/g," \\[thebibliography\\]References \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*thebibliography\s*\}/g," \\[thebibliography\\]References \\[ ");str[i]=str[i].replace(/\\end\s*\{\s*thebibliography\s*\}/g," \\[endthebibliography\\]References \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*proof\s*\}/g," \\[proof\\]Proof: \\[ ");if(isIE){str[i]=str[i].replace(/\\end\s*\{\s*proof\s*\}/g,"\u220E \\[endproof\\] \\[ ");}else{str[i]=str[i].replace(/\\end\s*\{\s*proof\s*\}/g," \\[endproof\\] \\[ ");} +str[i]=str[i].replace(/\\title\s*\{\s*([^\}]+)\}/g," \\[title\\] \\[$1 \\[endtitle\\] \\[ ");str[i]=str[i].replace(/\\author\s*\{\s*([^\}]+)\}/g," \\[author\\] \\[$1 \\[endauthor\\] \\[ ");str[i]=str[i].replace(/\\address\s*\{\s*([^\}]+)\}/g," \\[address\\] \\[$1 \\[endaddress\\] \\[ ");str[i]=str[i].replace(/\\date\s*\{\s*([^\}]+)\}/g," \\[date\\] \\[$1 \\[enddate\\] \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*keyword\s*\}/g," \\[keyword\\] \\[ ");str[i]=str[i].replace(/\\end\s*\{\s*keyword\s*\}/g," \\[endkeyword\\] \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*abstract\s*\}/g," \\[abstract\\] \\[ ");str[i]=str[i].replace(/\\end\s*\{\s*abstract\s*\}/g," \\[endabstract\\] \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*(?!array|tabular)(\w+)\s*\}/g," \\[$1\\] \\[ ");str[i]=str[i].replace(/\\end\s*\{\s*(?!array|tabular)(\w+)\s*\}/g," \\[end$1\\] \\[ ");var sectionIndex=str[i].search(/\\section\s*\{\s*[\s\S]+\}/);while(sectionIndex>=0){str[i]=str[i].replace(/\\section\s*\{/," \\[section\\]");var delimcnt=1;for(var ii=sectionIndex;ii<str[i].length;ii++){if(str[i].charAt(ii)=="{"){delimcnt++};if(str[i].charAt(ii)=="}"){delimcnt--};if(delimcnt==0){str[i]=str[i].substring(0,ii)+"\\[ "+str[i].substring(ii+1,str[i].length);break;}};sectionIndex=str[i].search(/\\section\s*\{\s*[\s\S]+\}/);} +sectionIndex=str[i].search(/\\subsection\s*\{\s*[\s\S]+\}/);while(sectionIndex>=0){str[i]=str[i].replace(/\\subsection\s*\{/," \\[subsection\\]");var delimcnt=1;for(var ii=sectionIndex;ii<str[i].length;ii++){if(str[i].charAt(ii)=="{"){delimcnt++};if(str[i].charAt(ii)=="}"){delimcnt--};if(delimcnt==0){str[i]=str[i].substring(0,ii)+"\\[ "+str[i].substring(ii+1,str[i].length);break;}};sectionIndex=str[i].search(/\\subsection\s*\{\s*[\s\S]+\}/);} +sectionIndex=str[i].search(/\\subsubsection\s*\{\s*[\s\S]+\}/);while(sectionIndex>=0){str[i]=str[i].replace(/\\subsubsection\s*\{/," \\[subsubsection\\]");var delimcnt=1;for(var ii=sectionIndex;ii<str[i].length;ii++){if(str[i].charAt(ii)=="{"){delimcnt++};if(str[i].charAt(ii)=="}"){delimcnt--};if(delimcnt==0){str[i]=str[i].substring(0,ii)+"\\[ "+str[i].substring(ii+1,str[i].length);break;}};sectionIndex=str[i].search(/\\subsubsection\s*\{\s*[\s\S]+\}/);} +var CatToNextEven="";var strtmp=str[i].split("\\[");for(var j=0;j<strtmp.length;j++){if(j%2){var strtmparray=strtmp[j].split("\\]");switch(strtmparray[0]){case"section":var nodeTmp=document.createElement("H2");nodeTmp.className='section';sectionCntr++;for(var div in LaTeXCounter){LaTeXCounter[div]=0};var nodeAnchor=document.createElement("a");if(inAppendix){nodeAnchor.className='appendixsection';}else{nodeAnchor.className='section';} +var nodeNumString=makeNumberString("");var anchorSpan=document.createElement("span");anchorSpan.className="section";anchorSpan.style.display="none";anchorSpan.appendChild(document.createTextNode(nodeNumString));nodeAnchor.appendChild(anchorSpan);nodeTmp.appendChild(nodeAnchor);var nodeSpan=document.createElement("span");nodeSpan.className='section';nodeSpan.appendChild(document.createTextNode(nodeNumString+" "));nodeTmp.appendChild(nodeSpan);nodeTmp.appendChild(document.createTextNode(strtmparray[1]));newFrag.appendChild(nodeTmp);break;case"subsection":var nodeTmp=document.createElement("H3");nodeTmp.className='subsection';LaTeXCounter["subsection"]++;LaTeXCounter["subsubsection"]=0;var nodeAnchor=document.createElement("a");nodeAnchor.className='subsection';var nodeNumString=makeNumberString(LaTeXCounter["subsection"]);var anchorSpan=document.createElement("span");anchorSpan.className="subsection";anchorSpan.style.display="none";anchorSpan.appendChild(document.createTextNode(nodeNumString));nodeAnchor.appendChild(anchorSpan);nodeTmp.appendChild(nodeAnchor);var nodeSpan=document.createElement("span");nodeSpan.className='subsection';nodeSpan.appendChild(document.createTextNode(nodeNumString+". "));nodeTmp.appendChild(nodeSpan);nodeTmp.appendChild(document.createTextNode(strtmparray[1]));newFrag.appendChild(nodeTmp);break;case"subsubsection":var nodeTmp=document.createElement("H4");nodeTmp.className='subsubsection';LaTeXCounter["subsubsection"]++;var nodeAnchor=document.createElement("a");nodeAnchor.className='subsubsection';var nodeNumString=makeNumberString(LaTeXCounter["subsection"]+"."+LaTeXCounter["subsubsection"]);var anchorSpan=document.createElement("span");anchorSpan.className="subsubsection";anchorSpan.style.display="none";anchorSpan.appendChild(document.createTextNode(nodeNumString));nodeAnchor.appendChild(anchorSpan);nodeTmp.appendChild(nodeAnchor);var nodeSpan=document.createElement("span");nodeSpan.className='subsubsection';nodeSpan.appendChild(document.createTextNode(nodeNumString+". "));nodeTmp.appendChild(nodeSpan);nodeTmp.appendChild(document.createTextNode(strtmparray[1]));newFrag.appendChild(nodeTmp);break;case"href":var nodeTmp=document.createElement("a");nodeTmp.className='LaTeXMathML';nodeTmp.href=strtmparray[1];nodeTmp.appendChild(document.createTextNode(strtmparray[2]));newFrag.appendChild(nodeTmp);break;case"url":var nodeTmp=document.createElement("a");nodeTmp.className='LaTeXMathML';nodeTmp.href=strtmparray[1];nodeTmp.appendChild(document.createTextNode(strtmparray[1]));newFrag.appendChild(nodeTmp);break;case"figure":var nodeTmp=document.createElement("table");nodeTmp.className='figure';var FIGtbody=document.createElement("tbody");var FIGlbl=strtmparray[1].match(/\\label\s*\{\s*(\w+)\s*\}/);strtmparray[1]=strtmparray[1].replace(/\\label\s*\{\w+\}/g,"");var capIndex=strtmparray[1].search(/\\caption\s*\{[\s\S]+\}/);var FIGcap="";if(capIndex>=0){var tmp=strtmparray[1];var delimcnt=0;var capstart=-1;for(var pos=capIndex;pos<tmp.length;pos++){if(tmp.charAt(pos)=="{"){delimcnt++};if(tmp.charAt(pos)=="}"){delimcnt--};if(delimcnt==1&&capstart<0){capstart=pos+1};if(delimcnt==0&&capstart>0){capend=pos-1;FIGcap=tmp.substring(capstart,pos);break}}} +var FIGtr2=document.createElement("tr");var FIGtd2=document.createElement("td");FIGtd2.className="caption";var FIGanchor=document.createElement("a");FIGanchor.className="figure";if(FIGlbl!=null){FIGanchor.id=FIGlbl[1];} +LaTeXCounter["figure"]++;var fignmbr=makeNumberString(LaTeXCounter["figure"]);var anchorSpan=document.createElement("span");anchorSpan.className="figure";anchorSpan.style.display="none";anchorSpan.appendChild(document.createTextNode(fignmbr));FIGanchor.appendChild(anchorSpan);FIGtd2.appendChild(FIGanchor);var FIGspan=document.createElement("span");FIGspan.className="figure";FIGspan.appendChild(document.createTextNode("Figure "+fignmbr+". "));FIGtd2.appendChild(FIGspan);FIGtd2.appendChild(document.createTextNode(""+FIGcap));FIGtr2.appendChild(FIGtd2);FIGtbody.appendChild(FIGtr2);var IsSpecial=false;var FIGinfo=strtmparray[1].match(/\\includegraphics\s*\{([^\}]+)\}/);if(FIGinfo==null){FIGinfo=strtmparray[1].match(/\\includegraphics\s*\[[^\]]*\]\s*\{\s*([^\}]+)\s*\}/);} +if(FIGinfo==null){FIGinfo=strtmparray[1].match(/\\special\s*\{\s*([^\}]+)\}/);IsSpecial=true};if(FIGinfo!=null){var FIGtr1=document.createElement("tr");var FIGtd1=document.createElement("td");FIGtd1.className="image";var FIGimg=document.createElement("img");var FIGsrc=FIGinfo[1];FIGimg.src=FIGsrc;FIGimg.alt="Figure "+FIGsrc+" did not load";FIGimg.title="Figure "+fignmbr+". "+FIGcap;FIGimg.id="figure"+fignmbr;FIGtd1.appendChild(FIGimg);FIGtr1.appendChild(FIGtd1);FIGtbody.appendChild(FIGtr1);} +nodeTmp.appendChild(FIGtbody);newFrag.appendChild(nodeTmp);break;case"table":var nodeTmp=document.createElement("table");if(strtmparray[1].search(/\\centering/)>=0){nodeTmp.className='LaTeXtable centered';nodeTmp.align="center";}else{nodeTmp.className='LaTeXtable';};tableid++;nodeTmp.id="LaTeXtable"+tableid;var TABlbl=strtmparray[1].match(/\\label\s*\{\s*(\w+)\s*\}/);strtmparray[1]=strtmparray[1].replace(/\\label\s*\{\w+\}/g,"");var capIndex=strtmparray[1].search(/\\caption\s*\{[\s\S]+\}/);var TABcap="";if(capIndex>=0){var tmp=strtmparray[1];var delimcnt=0;var capstart=-1;for(var pos=capIndex;pos<tmp.length;pos++){if(tmp.charAt(pos)=="{"){delimcnt++};if(tmp.charAt(pos)=="}"){delimcnt--};if(delimcnt==1&&capstart<0){capstart=pos+1};if(delimcnt==0&&capstart>0){capend=pos-1;TABcap=tmp.substring(capstart,pos);break}}} +if(TABcap!=""){var TABtbody=document.createElement("tbody");var TABcaption=document.createElement("caption");TABcaption.className="LaTeXtable centered";var TABanchor=document.createElement("a");TABanchor.className="LaTeXtable";if(TABlbl!=null){TABanchor.id=TABlbl[1];} +LaTeXCounter["table"]++;var tabnmbr=makeNumberString(LaTeXCounter["table"]);var anchorSpan=document.createElement("span");anchorSpan.className="LaTeXtable";anchorSpan.style.display="none";anchorSpan.appendChild(document.createTextNode(tabnmbr));TABanchor.appendChild(anchorSpan);TABcaption.appendChild(TABanchor);var TABspan=document.createElement("span");TABspan.className="LaTeXtable";TABspan.appendChild(document.createTextNode("Table "+tabnmbr+". "));TABcaption.appendChild(TABspan);TABcaption.appendChild(document.createTextNode(""+TABcap));nodeTmp.appendChild(TABcaption);} +var TABinfo=strtmparray[1].match(/\\begin\s*\{\s*tabular\s*\}([\s\S]+)\\end\s*\{\s*tabular\s*\}/);if(TABinfo!=null){var TABtbody=document.createElement('tbody');var TABrow=null;var TABcell=null;var row=0;var col=0;var TABalign=TABinfo[1].match(/^\s*\{([^\}]+)\}/);TABinfo=TABinfo[1].replace(/^\s*\{[^\}]+\}/,"");TABinfo=TABinfo.replace(/\\hline/g,"");TABalign[1]=TABalign[1].replace(/\|/g,"");TABalign[1]=TABalign[1].replace(/\s/g,"");TABinfo=TABinfo.split("\\\\");for(row=0;row<TABinfo.length;row++){TABrow=document.createElement("tr");TABinfo[row]=TABinfo[row].split("&");for(col=0;col<TABinfo[row].length;col++){TABcell=document.createElement("td");switch(TABalign[1].charAt(col)){case"l":TABcell.align="left";break;case"c":TABcell.align="center";break;case"r":TABcell.align="right";break;default:TABcell.align="left";};TABcell.appendChild(document.createTextNode(TABinfo[row][col]));TABrow.appendChild(TABcell);} +TABtbody.appendChild(TABrow);} +nodeTmp.appendChild(TABtbody);} +newFrag.appendChild(nodeTmp);break;case"logicalbreak":var nodeTmp=document.createElement("p");nodeTmp.className=strtmparray[1];nodeTmp.appendChild(document.createTextNode("\u00A0"));newFrag.appendChild(nodeTmp);break;case"appendix":inAppendix=true;sectionCntr=0;break;case"alistitem":var EndDiv=document.createElement("div");EndDiv.className="endlistitem";newFrag.appendChild(EndDiv);var BegDiv=document.createElement("div");BegDiv.className="listitem";if(strtmparray[1]!=" "){var BegSpan=document.createElement("span");BegSpan.className="listitemmarker";var boldBegSpan=document.createElement("b");boldBegSpan.appendChild(document.createTextNode(strtmparray[1]+" "));BegSpan.appendChild(boldBegSpan);BegDiv.appendChild(BegSpan);} +newFrag.appendChild(BegDiv);break;case"br":newFrag.appendChild(document.createElement("br"));break;case"bibitem":newFrag.appendChild(document.createElement("br"));var nodeTmp=document.createElement("a");nodeTmp.className='bibitem';var nodeSpan=document.createElement("span");nodeSpan.className='bibitem';bibcntr++;var lbl=strtmparray[1].match(/\{\s*(\w+)\s*\}/);strtmparray[1]=strtmparray[1].replace(/\s*\{\s*\w+\s*\}/g,"");strtmparray[1]=strtmparray[1].replace(/^\s*\[/,"");strtmparray[1]=strtmparray[1].replace(/\s*\]$/,"");strtmparray[1]=strtmparray[1].replace(/^\s+|\s+$/g,"");if(lbl==null){biblist[bibcntr]="bibitem"+bibcntr}else{biblist[bibcntr]=lbl[1];};nodeTmp.name=biblist[bibcntr];nodeTmp.id=biblist[bibcntr];if(strtmparray[1]!=""){nodeSpan.appendChild(document.createTextNode(strtmparray[1]));}else{nodeSpan.appendChild(document.createTextNode("["+bibcntr+"]"));} +nodeTmp.appendChild(nodeSpan);newFrag.appendChild(nodeTmp);break;case"cite":var nodeTmp=document.createElement("a");nodeTmp.className='cite';nodeTmp.name='cite';nodeTmp.href="#"+strtmparray[1];newFrag.appendChild(nodeTmp);break;case"ref":var nodeTmp=document.createElement("a");nodeTmp.className='ref';nodeTmp.name='ref';nodeTmp.href="#"+strtmparray[1];newFrag.appendChild(nodeTmp);break;default:var nodeTmp=document.createElement("div");nodeTmp.className=strtmparray[0];if(IsCounter.test(strtmparray[0])){LaTeXCounter[strtmparray[0]]++;var nodeAnchor=document.createElement("a");nodeAnchor.className=strtmparray[0];var divnum=makeNumberString(LaTeXCounter[strtmparray[0]]);var anchorSpan=document.createElement("span");anchorSpan.className=strtmparray[0];anchorSpan.appendChild(document.createTextNode(divnum));anchorSpan.style.display="none";nodeAnchor.appendChild(anchorSpan);nodeTmp.appendChild(nodeAnchor);var nodeSpan=document.createElement("span");nodeSpan.className=strtmparray[0];nodeSpan.appendChild(document.createTextNode(strtmparray[1]+" "+divnum+". "));nodeTmp.appendChild(nodeSpan);} +if(isIE){if(strtmparray[0]==("thebibliography"||"abstract"||"keyword"||"proof")){var nodeSpan=document.createElement("span");nodeSpan.className=strtmparray[0];nodeSpan.appendChild(document.createTextNode(strtmparray[1]));nodeTmp.appendChild(nodeSpan);}} +if(strtmparray[0]=="endenumerate"||strtmparray[0]=="enditemize"||strtmparray[0]=="enddescription"){var endDiv=document.createElement("div");endDiv.className="endlistitem";newFrag.appendChild(endDiv);} +newFrag.appendChild(nodeTmp);if(strtmparray[0]=="enumerate"||strtmparray[0]=="itemize"||strtmparray[0]=="description"){var endDiv=document.createElement("div");endDiv.className="listitem";newFrag.appendChild(endDiv);}}}else{strtmp[j]=strtmp[j].replace(/\\\$/g,"<per>");strtmp[j]=strtmp[j].replace(/\$([^\$]+)\$/g," \\[$1\\[ ");strtmp[j]=strtmp[j].replace(/<per>/g,"\\$");strtmp[j]=strtmp[j].replace(/\\begin\s*\{\s*math\s*\}([\s\S]+?)\\end\s*\{\s*math\s*\}/g," \\[$1\\[ ");var strtmptmp=strtmp[j].split("\\[");for(var jjj=0;jjj<strtmptmp.length;jjj++){if(jjj%2){var nodeTmp=document.createElement("span");nodeTmp.className='inlinemath';nodeTmp.appendChild(document.createTextNode("$"+strtmptmp[jjj]+"$"));newFrag.appendChild(nodeTmp);}else{var TagIndex=strtmptmp[jjj].search(/\\\w+/);var tmpIndex=TagIndex;while(tmpIndex>-1){if(/^\\textcolor/.test(strtmptmp[jjj].substring(TagIndex,strtmptmp[jjj].length))){strtmptmp[jjj]=strtmptmp[jjj].replace(/\\textcolor\s*\{\s*(\w+)\s*\}\s*/," \\[textcolor\\]$1\\]|");}else{if(/^\\colorbox/.test(strtmptmp[jjj].substring(TagIndex,strtmptmp[jjj].length))){strtmptmp[jjj]=strtmptmp[jjj].replace(/\\colorbox\s*\{\s*(\w+)\s*\}\s*/," \\[colorbox\\]$1\\]|");}else{strtmptmp[jjj]=strtmptmp[jjj].substring(0,TagIndex)+strtmptmp[jjj].substring(TagIndex,strtmptmp[jjj].length).replace(/\\\s*(\w+)\s*/," \\[$1\\]|");}} +TagIndex+=strtmptmp[jjj].substring(TagIndex,strtmptmp[jjj].length).search(/\|/);TagIndex++;strtmptmp[jjj]=strtmptmp[jjj].replace(/\\\]\|/,"\\] ");if(strtmptmp[jjj].charAt(TagIndex)=="{"){strtmptmp[jjj]=strtmptmp[jjj].substring(0,TagIndex)+strtmptmp[jjj].substring(TagIndex+1,strtmptmp[jjj].length);var delimcnt=1;for(var kk=TagIndex;kk<strtmptmp[jjj].length;kk++){if(strtmptmp[jjj].charAt(kk)=="{"){delimcnt++};if(strtmptmp[jjj].charAt(kk)=="}"){delimcnt--};if(delimcnt==0){break;}} +strtmptmp[jjj]=strtmptmp[jjj].substring(0,kk)+"\\[ "+strtmptmp[jjj].substring(kk+1,strtmptmp[jjj].length);TagIndex=kk+3;}else{strtmptmp[jjj]=strtmptmp[jjj].substring(0,TagIndex)+"\\[ "+strtmptmp[jjj].substring(TagIndex+1,strtmptmp[jjj].length);TagIndex=TagIndex+3;} +if(TagIndex<strtmptmp[jjj].length){tmpIndex=strtmptmp[jjj].substring(TagIndex,strtmptmp[jjj].length).search(/\\\w+/);} +else{tmpIndex=-1};TagIndex+=tmpIndex;} +strtmptmp[jjj]=strtmptmp[jjj].replace(/\\\\\s*\\\\/g,"\\\\");strtmptmp[jjj]=strtmptmp[jjj].replace(/\\\\/g," \\[br\\] \\[ ");strtmptmp[jjj]=strtmptmp[jjj].replace(/\\label\s*\{\s*(\w+)\s*\}/g," \\[a\\]$1\\[ ");var strlbls=strtmptmp[jjj].split("\\[");for(var jj=0;jj<strlbls.length;jj++){if(jj%2){var strtmparray=strlbls[jj].split("\\]");switch(strtmparray[0]){case"textcolor":var nodeTmp=document.createElement("span");nodeTmp.className='LaTeXColor';if(IsColorName.test(strtmparray[1].toLowerCase())){nodeTmp.style.color=LaTeXColor[strtmparray[1].toLowerCase()];}else{nodeTmp.style.color=strtmparray[1];};nodeTmp.appendChild(document.createTextNode(strtmparray[2]));newFrag.appendChild(nodeTmp);break;case"colorbox":var nodeTmp=document.createElement("span");nodeTmp.className='LaTeXColor';if(IsColorName.test(strtmparray[1].toLowerCase())){nodeTmp.style.background=LaTeXColor[strtmparray[1].toLowerCase()];}else{nodeTmp.style.background=strtmparray[1];};nodeTmp.appendChild(document.createTextNode(strtmparray[2]));newFrag.appendChild(nodeTmp);break;case"br":newFrag.appendChild(document.createElement("br"));break;case"a":var nodeTmp=document.createElement("a");nodeTmp.className='LaTeXMathMLlabel';nodeTmp.id=strtmparray[1];nodeTmp.style.display="none";newFrag.appendChild(nodeTmp);break;default:var nodeTmp=document.createElement("span");nodeTmp.className=strtmparray[0];nodeTmp.appendChild(document.createTextNode(strtmparray[1])) +newFrag.appendChild(nodeTmp);}}else{newFrag.appendChild(document.createTextNode(strlbls[jj]));}}}}}}}};TheBody.parentNode.replaceChild(newFrag,TheBody);}}} +return TheBody;} +function LaTeXDivsAndRefs(thebody){var TheBody=thebody;var EndDivClass=null;var AllDivs=TheBody.getElementsByTagName("div");var lbl2id="";var lblnode=null;for(var i=AllDivs.length-1;i>=0;i--){EndDivClass=AllDivs[i].className.match(/end\w+/);if(EndDivClass!=null){EndDivClass=EndDivClass[0];var DivClass=EndDivClass.substring(3,EndDivClass.length);var EndDivNode=AllDivs[i];break;}} +while(EndDivClass!=null){var newFrag=document.createDocumentFragment();var RootNode=EndDivNode.parentNode;var ClassCount=1;while(EndDivNode.previousSibling!=null&&ClassCount>0){switch(EndDivNode.previousSibling.className){case EndDivClass:ClassCount++;newFrag.insertBefore(EndDivNode.previousSibling,newFrag.firstChild);break;case DivClass:if(EndDivNode.previousSibling.nodeName=="DIV"){ClassCount--;if(lbl2id!=""){EndDivNode.previousSibling.id=lbl2id;lbl2id=""} +if(ClassCount==0){RootNode=EndDivNode.previousSibling;}else{newFrag.insertBefore(EndDivNode.previousSibling,newFrag.firstChild);}};break;case'LaTeXMathMLlabel':lbl2id=EndDivNode.previousSibling.id;EndDivNode.parentNode.removeChild(EndDivNode.previousSibling);break;default:newFrag.insertBefore(EndDivNode.previousSibling,newFrag.firstChild);}} +RootNode.appendChild(newFrag);EndDivNode.parentNode.removeChild(EndDivNode);AllDivs=TheBody.getElementsByTagName("DIV");for(i=AllDivs.length-1;i>=0;i--){EndDivClass=AllDivs[i].className.match(/end\w+/);if(EndDivClass!=null){ClassCount=0;EndDivClass=EndDivClass[0];DivClass=EndDivClass.substring(3,EndDivClass.length);EndDivNode=AllDivs[i];RootNode=EndDivNode.parentNode;break;}}} +var AllDivs=TheBody.getElementsByTagName("div");var DIV2LI=null;for(var i=0;i<AllDivs.length;i++){if(AllDivs[i].className=="itemize"||AllDivs[i].className=="enumerate"||AllDivs[i].className=="description"){if(AllDivs[i].className=="itemize"){RootNode=document.createElement("UL");}else{RootNode=document.createElement("OL");} +RootNode.className='LaTeXMathML';if(AllDivs[i].hasChildNodes()){AllDivs[i].removeChild(AllDivs[i].firstChild)};while(AllDivs[i].hasChildNodes()){if(AllDivs[i].firstChild.hasChildNodes()){DIV2LI=document.createElement("LI");while(AllDivs[i].firstChild.hasChildNodes()){DIV2LI.appendChild(AllDivs[i].firstChild.firstChild);} +if(DIV2LI.firstChild.className=="listitemmarker"){DIV2LI.style.listStyleType="none";} +RootNode.appendChild(DIV2LI)} +AllDivs[i].removeChild(AllDivs[i].firstChild);} +AllDivs[i].appendChild(RootNode);}} +var AllAnchors=TheBody.getElementsByTagName("a");for(var i=0;i<AllAnchors.length;i++){if(AllAnchors[i].className=="ref"||AllAnchors[i].className=="cite"){var label=AllAnchors[i].href.match(/\#(\w+)/);if(label!=null){var labelNode=document.getElementById(label[1]);if(labelNode!=null){var TheSpans=labelNode.getElementsByTagName("SPAN");if(TheSpans!=null){var refNode=TheSpans[0].cloneNode(true);refNode.style.display="inline" +refNode.className=AllAnchors[i].className;AllAnchors[i].appendChild(refNode);}}}}} +return TheBody;} +var AMbody;var AMnoMathML=false,AMtranslated=false;function translate(spanclassAM){if(!AMtranslated){AMtranslated=true;AMinitSymbols();var LaTeXContainers=[];var AllContainers=document.getElementsByTagName('*');var ExtendName="";for(var k=0,l=0;k<AllContainers.length;k++){ExtendName=" "+AllContainers[k].className+" ";if(ExtendName.match(/\sLaTeX\s/)!=null){LaTeXContainers[l]=AllContainers[k];l++;}};if(LaTeXContainers.length>0){for(var m=0;m<LaTeXContainers.length;m++){AMbody=LaTeXContainers[m];try{AMbody=LaTeXDivsAndRefs(LaTeXpreProcess(AMbody));}catch(err){alert("Unknown Error: Defaulting to Original LaTeXMathML");} +if(AMbody.tagName=="PRE"){var PreChilds=document.createDocumentFragment();var DivChilds=document.createElement("DIV");while(AMbody.hasChildNodes()){DivChilds.appendChild(AMbody.firstChild);} +PreChilds.appendChild(DivChilds);AMbody.parentNode.replaceChild(PreChilds,AMbody);AMbody=DivChilds;} +AMprocessNode(AMbody,false,spanclassAM);}}else{AMbody=document.getElementsByTagName("body")[0];try{AMbody=LaTeXDivsAndRefs(LaTeXpreProcess(AMbody));}catch(err){alert("Unknown Error: Defaulting to Original LaTeXMathML");} +AMprocessNode(AMbody,false,spanclassAM);}}} +if(isIE){document.write("<object id=\"mathplayer\" classid=\"clsid:32F66A20-7614-11D4-BD11-00104BD3F987\"></object>");document.write("<?import namespace=\"m\" implementation=\"#mathplayer\"?>");} +function generic() +{translate();};if(typeof window.addEventListener!='undefined') +{window.addEventListener('load',generic,false);} +else if(typeof document.addEventListener!='undefined') +{document.addEventListener('load',generic,false);} +else if(typeof window.attachEvent!='undefined') +{window.attachEvent('onload',generic);} +else +{if(typeof window.onload=='function') +{var existing=onload;window.onload=function() +{existing();generic();};} +else +{window.onload=generic;}}
\ No newline at end of file diff --git a/man/man1/pandoc.1.md b/man/man1/pandoc.1.md index ce2542f32..15dfaa5e4 100644 --- a/man/man1/pandoc.1.md +++ b/man/man1/pandoc.1.md @@ -107,9 +107,9 @@ to Pandoc. Or use `html2markdown`(1), a wrapper around `pandoc`. only when the input format is `markdown`. It is selected automatically when the output format is `latex` or `context`.) --m*URL*, \--asciimathml=*URL* -: Use ASCIIMathML to display embedded TeX math in HTML output. - To insert a link to a local copy of the `ASCIIMathML.js` script, +-m*URL*, \--latexmathml=*URL* +: Use LaTeXMathML to display embedded TeX math in HTML output. + To insert a link to a local copy of the `LaTeXMathML.js` script, provide a *URL*. If no *URL* is provided, the contents of the script will be inserted directly into the HTML header. diff --git a/pandoc.cabal b/pandoc.cabal index 5c0f1b064..d52bb0d63 100644 --- a/pandoc.cabal +++ b/pandoc.cabal @@ -51,9 +51,9 @@ Extra-Source-Files: data/headers/OpenDocument.header, data/headers/RTF.header, data/headers/S5.header, - -- data for ASCIIMathML writer - data/ASCIIMathML.js.comment, - data/ASCIIMathML.js.packed, + -- data for LaTeXMathML writer + data/LaTeXMathML.js.comment, + data/LaTeXMathML.js.packed, -- data for S5 writer data/ui/default/slides.js.comment, data/ui/default/slides.js.packed, @@ -168,7 +168,7 @@ Library Text.Pandoc.Shared, Text.Pandoc.ODT, Text.Pandoc.PDF, - Text.Pandoc.ASCIIMathML, + Text.Pandoc.LaTeXMathML, Text.Pandoc.DefaultHeaders, Text.Pandoc.Highlighting, Text.Pandoc.Readers.HTML, diff --git a/tests/latex-reader.native b/tests/latex-reader.native index 88756640f..42401cac2 100644 --- a/tests/latex-reader.native +++ b/tests/latex-reader.native @@ -274,13 +274,13 @@ Pandoc (Meta [Str "Pandoc",Space,Str "Test",Space,Str "Suite"] ["John MacFarlane , BulletList [ [ Para [TeX "\\cite[22-23]{smith.1899}"] ] , [ Para [TeX "\\doublespacing"] ] - , [ Para [Math "2+2=4"] ] - , [ Para [Math "x \\in y"] ] - , [ Para [Math "\\alpha \\wedge \\omega"] ] - , [ Para [Math "223"] ] - , [ Para [Math "p",Str "-",Str "Tree"] ] - , [ Para [Math "\\frac{d}{dx}f(x)=\\lim_{h\\to 0}\\frac{f(x+h)-f(x)}{h}"] ] - , [ Para [Str "Here",Apostrophe,Str "s",Space,Str "one",Space,Str "that",Space,Str "has",Space,Str "a",Space,Str "line",Space,Str "break",Space,Str "in",Space,Str "it:",Space,Math "\\alpha + \\omega \\times x^2",Str "."] ] ] + , [ Para [Math InlineMath "2+2=4"] ] + , [ Para [Math InlineMath "x \\in y"] ] + , [ Para [Math InlineMath "\\alpha \\wedge \\omega"] ] + , [ Para [Math InlineMath "223"] ] + , [ Para [Math InlineMath "p",Str "-",Str "Tree"] ] + , [ Para [Math InlineMath "\\frac{d}{dx}f(x)=\\lim_{h\\to 0}\\frac{f(x+h)-f(x)}{h}"] ] + , [ Para [Str "Here",Apostrophe,Str "s",Space,Str "one",Space,Str "that",Space,Str "has",Space,Str "a",Space,Str "line",Space,Str "break",Space,Str "in",Space,Str "it:",Space,Math InlineMath "\\alpha + \\omega \\times x^2",Str "."] ] ] , Para [Str "These",Space,Str "shouldn",Apostrophe,Str "t",Space,Str "be",Space,Str "math:"] , BulletList [ [ Para [Str "To",Space,Str "get",Space,Str "the",Space,Str "famous",Space,Str "equation,",Space,Str "write",Space,Code "$e = mc^2$",Str "."] ] diff --git a/tests/s5.fancy.html b/tests/s5.fancy.html index 486ef2ff5..e899b742e 100644 --- a/tests/s5.fancy.html +++ b/tests/s5.fancy.html @@ -9,151 +9,89 @@ /><meta name="author" content="Jen Jones" /><meta name="date" content="July 15, 2006" /><script type="text/javascript"> -/* ASCIIMathML.js - copyright Peter Jipsen, released under the GPL - See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */ -var mathcolor="";var mathfontsize="1em";var mathfontfamily="serif";var automathrecognize=false;var checkForMathML=true;var notifyIfNoMathML=true;var alertIfNoMathML=false;var translateOnLoad=true;var translateLaTeX=true;var translateLaTeXformatting=true;var translateASCIIMath=true;var translateASCIIsvg=true;var avoidinnerHTML=false;var displaystyle=true;var showasciiformulaonhover=true;var decimalsign=".";var AMdelimiter1="`",AMescape1="\\\\`";var AMdocumentId="wikitext" -var checkforprocessasciimathinmoodle=false;var dsvglocation="";var isIE=document.createElementNS==null;var noMathML=false,translated=false;if(isIE){document.write("<object id=\"mathplayer\"\ - classid=\"clsid:32F66A20-7614-11D4-BD11-00104BD3F987\"></object>");document.write("<?import namespace=\"m\" implementation=\"#mathplayer\"?>");} -function setStylesheet(s){var id="AMMLcustomStyleSheet";var n=document.getElementById(id);if(document.createStyleSheet){if(n) -n.parentNode.removeChild(n);document.getElementsByTagName("head")[0].insertAdjacentHTML("beforeEnd"," <style id='"+id+"'>"+s+"</style>");}else{if(n){n.replaceChild(document.createTextNode(s),n.firstChild);}else{n=document.createElement("style");n.type="text/css";n.id=id;n.appendChild(document.createTextNode(s));document.getElementsByTagName("head")[0].appendChild(n);}}} -setStylesheet("#AMMLcloseDiv \{font-size:0.8em; padding-top:1em; color:#014\}\n#AMMLwarningBox \{position:absolute; width:100%; top:0; left:0; z-index:200; text-align:center; font-size:1em; font-weight:bold; padding:0.5em 0 0.5em 0; color:#ffc; background:#c30\}");function init(){var msg,warnings=new Array();if(document.getElementById==null){alert("This webpage requires a recent browser such as Mozilla Firefox/Netscape 7+ or Internet Explorer 6+ with MathPlayer and Adobe SVGviewer");return null;} -if(checkForMathML&&(msg=checkMathML()))warnings.push(msg);if(checkIfSVGavailable&&(msg=checkSVG()))warnings.push(msg);if(warnings.length>0)displayWarnings(warnings);if(!noMathML)initSymbols();return true;} -function checkMathML(){if(navigator.appName.slice(0,8)=="Netscape") -if(navigator.appVersion.slice(0,1)>="5")noMathML=null;else noMathML=true;else if(navigator.appName.slice(0,9)=="Microsoft") -try{var ActiveX=new ActiveXObject("MathPlayer.Factory.1");noMathML=null;}catch(e){noMathML=true;} -else noMathML=true;if(noMathML&¬ifyIfNoMathML){var msg="To view the ASCIIMathML notation use Internet Explorer + MathPlayer or Mozilla Firefox 2.0 or later.";if(alertIfNoMathML) -alert(msg);else return msg;}} -function hideWarning(){var body=document.getElementsByTagName("body")[0];body.removeChild(document.getElementById('AMMLwarningBox'));body.onclick=null;} -function displayWarnings(warnings){var i,frag,nd=createElementXHTML("div");var body=document.getElementsByTagName("body")[0];body.onclick=hideWarning;nd.id='AMMLwarningBox';for(i=0;i<warnings.length;i++){frag=createElementXHTML("div");frag.appendChild(document.createTextNode(warnings[i]));frag.style.paddingBottom="1.0em";nd.appendChild(frag);} -nd.appendChild(createElementXHTML("p"));nd.appendChild(document.createTextNode("For instructions see the "));var an=createElementXHTML("a");an.appendChild(document.createTextNode("ASCIIMathML"));an.setAttribute("href","http://www.chapman.edu/~jipsen/asciimath.html");nd.appendChild(an);nd.appendChild(document.createTextNode(" homepage"));an=createElementXHTML("div");an.id='AMMLcloseDiv';an.appendChild(document.createTextNode('(click anywhere to close this warning)'));nd.appendChild(an);var body=document.getElementsByTagName("body")[0];body.insertBefore(nd,body.childNodes[0]);} -function translate(spanclassAM){if(!translated){translated=true;var body=document.getElementsByTagName("body")[0];var processN=document.getElementById(AMdocumentId);if(translateLaTeX)LMprocessNode((processN!=null?processN:body));if(translateASCIIMath)AMprocessNode((processN!=null?processN:body),false,spanclassAM);}} -function createElementXHTML(t){if(isIE)return document.createElement(t);else return document.createElementNS("http://www.w3.org/1999/xhtml",t);} -function createMmlNode(t,frag){if(isIE)var node=document.createElement("m:"+t);else var node=document.createElementNS("http://www.w3.org/1998/Math/MathML",t);if(frag)node.appendChild(frag);return node;} -var AMcal=[0xEF35,0x212C,0xEF36,0xEF37,0x2130,0x2131,0xEF38,0x210B,0x2110,0xEF39,0xEF3A,0x2112,0x2133,0xEF3B,0xEF3C,0xEF3D,0xEF3E,0x211B,0xEF3F,0xEF40,0xEF41,0xEF42,0xEF43,0xEF44,0xEF45,0xEF46];var AMfrk=[0xEF5D,0xEF5E,0x212D,0xEF5F,0xEF60,0xEF61,0xEF62,0x210C,0x2111,0xEF63,0xEF64,0xEF65,0xEF66,0xEF67,0xEF68,0xEF69,0xEF6A,0x211C,0xEF6B,0xEF6C,0xEF6D,0xEF6E,0xEF6F,0xEF70,0xEF71,0x2128];var AMbbb=[0xEF8C,0xEF8D,0x2102,0xEF8E,0xEF8F,0xEF90,0xEF91,0x210D,0xEF92,0xEF93,0xEF94,0xEF95,0xEF96,0x2115,0xEF97,0x2119,0x211A,0x211D,0xEF98,0xEF99,0xEF9A,0xEF9B,0xEF9C,0xEF9D,0xEF9E,0x2124];var CONST=0,UNARY=1,BINARY=2,INFIX=3,LEFTBRACKET=4,RIGHTBRACKET=5,SPACE=6,UNDEROVER=7,DEFINITION=8,LEFTRIGHT=9,TEXT=10,BIG=11,LONG=12,STRETCHY=13,MATRIX=14;;var AMquote={input:"\"",tag:"mtext",output:"mbox",tex:null,ttype:TEXT};var AMsymbols=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:CONST},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:CONST},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:CONST},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:CONST},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:CONST},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:CONST},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:CONST},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:CONST},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:CONST},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:CONST},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:CONST},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:CONST},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:CONST},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:CONST},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:CONST},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:CONST},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:CONST},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:CONST},{input:"phi",tag:"mi",output:"\u03C6",tex:null,ttype:CONST},{input:"varphi",tag:"mi",output:"\u03D5",tex:null,ttype:CONST},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:CONST},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:CONST},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:CONST},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:CONST},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:CONST},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:CONST},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:CONST},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:CONST},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:CONST},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:CONST},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:CONST},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:CONST},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:CONST},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:CONST},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:CONST},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:CONST},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:CONST},{input:"**",tag:"mo",output:"\u22C6",tex:"star",ttype:CONST},{input:"//",tag:"mo",output:"/",tex:null,ttype:CONST},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:CONST},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:CONST},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:CONST},{input:"-:",tag:"mo",output:"\u00F7",tex:"divide",ttype:CONST},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:CONST},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:CONST},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:CONST},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:CONST},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:UNDEROVER},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:UNDEROVER},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:CONST},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:UNDEROVER},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:CONST},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:UNDEROVER},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:CONST},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:UNDEROVER},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:CONST},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:UNDEROVER},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:CONST},{input:":=",tag:"mo",output:":=",tex:null,ttype:CONST},{input:"lt",tag:"mo",output:"<",tex:null,ttype:CONST},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:CONST},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:CONST},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:CONST},{input:"geq",tag:"mo",output:"\u2265",tex:null,ttype:CONST},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:CONST},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:CONST},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:CONST},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:CONST},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:CONST},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:CONST},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:CONST},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:CONST},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:CONST},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:CONST},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:CONST},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:CONST},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:CONST},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:CONST},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:CONST},{input:"and",tag:"mtext",output:"and",tex:null,ttype:SPACE},{input:"or",tag:"mtext",output:"or",tex:null,ttype:SPACE},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:CONST},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:CONST},{input:"if",tag:"mo",output:"if",tex:null,ttype:SPACE},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:CONST},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:CONST},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:CONST},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:CONST},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:CONST},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:CONST},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:CONST},{input:"(",tag:"mo",output:"(",tex:null,ttype:LEFTBRACKET},{input:")",tag:"mo",output:")",tex:null,ttype:RIGHTBRACKET},{input:"[",tag:"mo",output:"[",tex:null,ttype:LEFTBRACKET},{input:"]",tag:"mo",output:"]",tex:null,ttype:RIGHTBRACKET},{input:"{",tag:"mo",output:"{",tex:null,ttype:LEFTBRACKET},{input:"}",tag:"mo",output:"}",tex:null,ttype:RIGHTBRACKET},{input:"|",tag:"mo",output:"|",tex:null,ttype:LEFTRIGHT},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:LEFTBRACKET},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:RIGHTBRACKET},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:LEFTBRACKET},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:RIGHTBRACKET},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:LEFTBRACKET,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:RIGHTBRACKET,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:CONST},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:DEFINITION},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:DEFINITION},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:DEFINITION},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:DEFINITION},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:CONST},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:CONST},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:CONST},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:CONST},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:CONST},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:CONST},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:CONST},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:CONST},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:CONST},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:CONST},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:CONST},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:CONST},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:CONST},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:CONST},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:CONST},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:CONST},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:CONST},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:CONST},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:CONST},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:CONST},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:CONST},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:CONST},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:CONST},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:CONST},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:CONST},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:CONST},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:CONST},{input:"f",tag:"mi",output:"f",tex:null,ttype:UNARY,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:UNARY,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:UNDEROVER},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:UNDEROVER},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:UNARY,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:UNARY,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:UNARY,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:UNARY,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:UNARY,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:UNARY,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:UNARY,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:UNARY,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:UNARY,func:true},{input:"log",tag:"mo",output:"log",tex:null,ttype:UNARY,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:UNARY,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:UNARY,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:CONST},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:CONST},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:UNARY,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:UNARY,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:CONST},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:CONST},{input:"min",tag:"mo",output:"min",tex:null,ttype:UNDEROVER},{input:"max",tag:"mo",output:"max",tex:null,ttype:UNDEROVER},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:CONST},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:CONST},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:CONST},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:CONST},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:CONST},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:CONST},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:CONST},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:CONST},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:CONST},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:CONST},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:CONST},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:CONST},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:CONST},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:UNARY},{input:"root",tag:"mroot",output:"root",tex:null,ttype:BINARY},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:BINARY},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:INFIX},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:BINARY},{input:"_",tag:"msub",output:"_",tex:null,ttype:INFIX},{input:"^",tag:"msup",output:"^",tex:null,ttype:INFIX},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:UNARY,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:UNARY,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:UNARY,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:UNARY,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:UNARY,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:UNARY,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:TEXT},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:TEXT},AMquote,{input:"bb",tag:"mstyle",atname:"fontweight",atval:"bold",output:"bb",tex:null,ttype:UNARY},{input:"mathbf",tag:"mstyle",atname:"fontweight",atval:"bold",output:"mathbf",tex:null,ttype:UNARY},{input:"sf",tag:"mstyle",atname:"fontfamily",atval:"sans-serif",output:"sf",tex:null,ttype:UNARY},{input:"mathsf",tag:"mstyle",atname:"fontfamily",atval:"sans-serif",output:"mathsf",tex:null,ttype:UNARY},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:UNARY,codes:AMbbb},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:UNARY,codes:AMbbb},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:UNARY,codes:AMcal},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:UNARY,codes:AMcal},{input:"tt",tag:"mstyle",atname:"fontfamily",atval:"monospace",output:"tt",tex:null,ttype:UNARY},{input:"mathtt",tag:"mstyle",atname:"fontfamily",atval:"monospace",output:"mathtt",tex:null,ttype:UNARY},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:UNARY,codes:AMfrk},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:UNARY,codes:AMfrk}];function compareNames(s1,s2){if(s1.input>s2.input)return 1 +/* +LaTeXMathML.js from http://math.etsu.edu/LaTeXMathML/ +Adapted by Jeff Knisely and Douglas Woodall from ASCIIMathML.js v. 1.4.7, +(c) 2005 Peter Jipsen http://www.chapman.edu/~jipsen. + +This program is free software; you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at +your option) any later version. + +This program is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +General Public License (at http://www.gnu.org/copyleft/gpl.html) +for more details. +*/ + +var checkForMathML=true;var notifyIfNoMathML=true;var alertIfNoMathML=false;var mathcolor="";var mathfontfamily="";var showasciiformulaonhover=true;var isIE=document.createElementNS==null;if(document.getElementById==null) +alert("This webpage requires a recent browser such as \nMozilla/Netscape 7+ or Internet Explorer 6+MathPlayer") +function AMcreateElementXHTML(t){if(isIE)return document.createElement(t);else return document.createElementNS("http://www.w3.org/1999/xhtml",t);} +function AMnoMathMLNote(){var nd=AMcreateElementXHTML("h3");nd.setAttribute("align","center") +nd.appendChild(AMcreateElementXHTML("p"));nd.appendChild(document.createTextNode("To view the "));var an=AMcreateElementXHTML("a");an.appendChild(document.createTextNode("LaTeXMathML"));an.setAttribute("href","http://www.maths.nott.ac.uk/personal/drw/lm.html");nd.appendChild(an);nd.appendChild(document.createTextNode(" notation use Internet Explorer 6+"));an=AMcreateElementXHTML("a");an.appendChild(document.createTextNode("MathPlayer"));an.setAttribute("href","http://www.dessci.com/en/products/mathplayer/download.htm");nd.appendChild(an);nd.appendChild(document.createTextNode(" or Netscape/Mozilla/Firefox"));nd.appendChild(AMcreateElementXHTML("p"));return nd;} +function AMisMathMLavailable(){if(navigator.appName.slice(0,8)=="Netscape") +if(navigator.appVersion.slice(0,1)>="5")return null;else return AMnoMathMLNote();else if(navigator.appName.slice(0,9)=="Microsoft") +try{var ActiveX=new ActiveXObject("MathPlayer.Factory.1");return null;}catch(e){return AMnoMathMLNote();} +else return AMnoMathMLNote();} +var AMcal=[0xEF35,0x212C,0xEF36,0xEF37,0x2130,0x2131,0xEF38,0x210B,0x2110,0xEF39,0xEF3A,0x2112,0x2133,0xEF3B,0xEF3C,0xEF3D,0xEF3E,0x211B,0xEF3F,0xEF40,0xEF41,0xEF42,0xEF43,0xEF44,0xEF45,0xEF46];var AMfrk=[0xEF5D,0xEF5E,0x212D,0xEF5F,0xEF60,0xEF61,0xEF62,0x210C,0x2111,0xEF63,0xEF64,0xEF65,0xEF66,0xEF67,0xEF68,0xEF69,0xEF6A,0x211C,0xEF6B,0xEF6C,0xEF6D,0xEF6E,0xEF6F,0xEF70,0xEF71,0x2128];var AMbbb=[0xEF8C,0xEF8D,0x2102,0xEF8E,0xEF8F,0xEF90,0xEF91,0x210D,0xEF92,0xEF93,0xEF94,0xEF95,0xEF96,0x2115,0xEF97,0x2119,0x211A,0x211D,0xEF98,0xEF99,0xEF9A,0xEF9B,0xEF9C,0xEF9D,0xEF9E,0x2124];var CONST=0,UNARY=1,BINARY=2,INFIX=3,LEFTBRACKET=4,RIGHTBRACKET=5,SPACE=6,UNDEROVER=7,DEFINITION=8,TEXT=9,BIG=10,LONG=11,STRETCHY=12,MATRIX=13;var AMsqrt={input:"\\sqrt",tag:"msqrt",output:"sqrt",ttype:UNARY},AMroot={input:"\\root",tag:"mroot",output:"root",ttype:BINARY},AMfrac={input:"\\frac",tag:"mfrac",output:"/",ttype:BINARY},AMover={input:"\\stackrel",tag:"mover",output:"stackrel",ttype:BINARY},AMatop={input:"\\atop",tag:"mfrac",output:"",ttype:INFIX},AMchoose={input:"\\choose",tag:"mfrac",output:"",ttype:INFIX},AMsub={input:"_",tag:"msub",output:"_",ttype:INFIX},AMsup={input:"^",tag:"msup",output:"^",ttype:INFIX},AMtext={input:"\\mathrm",tag:"mtext",output:"text",ttype:TEXT},AMmbox={input:"\\mbox",tag:"mtext",output:"mbox",ttype:TEXT};var AMsymbols=[{input:"\\alpha",tag:"mi",output:"\u03B1",ttype:CONST},{input:"\\beta",tag:"mi",output:"\u03B2",ttype:CONST},{input:"\\gamma",tag:"mi",output:"\u03B3",ttype:CONST},{input:"\\delta",tag:"mi",output:"\u03B4",ttype:CONST},{input:"\\epsilon",tag:"mi",output:"\u03B5",ttype:CONST},{input:"\\varepsilon",tag:"mi",output:"\u025B",ttype:CONST},{input:"\\zeta",tag:"mi",output:"\u03B6",ttype:CONST},{input:"\\eta",tag:"mi",output:"\u03B7",ttype:CONST},{input:"\\theta",tag:"mi",output:"\u03B8",ttype:CONST},{input:"\\vartheta",tag:"mi",output:"\u03D1",ttype:CONST},{input:"\\iota",tag:"mi",output:"\u03B9",ttype:CONST},{input:"\\kappa",tag:"mi",output:"\u03BA",ttype:CONST},{input:"\\lambda",tag:"mi",output:"\u03BB",ttype:CONST},{input:"\\mu",tag:"mi",output:"\u03BC",ttype:CONST},{input:"\\nu",tag:"mi",output:"\u03BD",ttype:CONST},{input:"\\xi",tag:"mi",output:"\u03BE",ttype:CONST},{input:"\\pi",tag:"mi",output:"\u03C0",ttype:CONST},{input:"\\varpi",tag:"mi",output:"\u03D6",ttype:CONST},{input:"\\rho",tag:"mi",output:"\u03C1",ttype:CONST},{input:"\\varrho",tag:"mi",output:"\u03F1",ttype:CONST},{input:"\\varsigma",tag:"mi",output:"\u03C2",ttype:CONST},{input:"\\sigma",tag:"mi",output:"\u03C3",ttype:CONST},{input:"\\tau",tag:"mi",output:"\u03C4",ttype:CONST},{input:"\\upsilon",tag:"mi",output:"\u03C5",ttype:CONST},{input:"\\phi",tag:"mi",output:"\u03C6",ttype:CONST},{input:"\\varphi",tag:"mi",output:"\u03D5",ttype:CONST},{input:"\\chi",tag:"mi",output:"\u03C7",ttype:CONST},{input:"\\psi",tag:"mi",output:"\u03C8",ttype:CONST},{input:"\\omega",tag:"mi",output:"\u03C9",ttype:CONST},{input:"\\Gamma",tag:"mo",output:"\u0393",ttype:CONST},{input:"\\Delta",tag:"mo",output:"\u0394",ttype:CONST},{input:"\\Theta",tag:"mo",output:"\u0398",ttype:CONST},{input:"\\Lambda",tag:"mo",output:"\u039B",ttype:CONST},{input:"\\Xi",tag:"mo",output:"\u039E",ttype:CONST},{input:"\\Pi",tag:"mo",output:"\u03A0",ttype:CONST},{input:"\\Sigma",tag:"mo",output:"\u03A3",ttype:CONST},{input:"\\Upsilon",tag:"mo",output:"\u03A5",ttype:CONST},{input:"\\Phi",tag:"mo",output:"\u03A6",ttype:CONST},{input:"\\Psi",tag:"mo",output:"\u03A8",ttype:CONST},{input:"\\Omega",tag:"mo",output:"\u03A9",ttype:CONST},{input:"\\frac12",tag:"mo",output:"\u00BD",ttype:CONST},{input:"\\frac14",tag:"mo",output:"\u00BC",ttype:CONST},{input:"\\frac34",tag:"mo",output:"\u00BE",ttype:CONST},{input:"\\frac13",tag:"mo",output:"\u2153",ttype:CONST},{input:"\\frac23",tag:"mo",output:"\u2154",ttype:CONST},{input:"\\frac15",tag:"mo",output:"\u2155",ttype:CONST},{input:"\\frac25",tag:"mo",output:"\u2156",ttype:CONST},{input:"\\frac35",tag:"mo",output:"\u2157",ttype:CONST},{input:"\\frac45",tag:"mo",output:"\u2158",ttype:CONST},{input:"\\frac16",tag:"mo",output:"\u2159",ttype:CONST},{input:"\\frac56",tag:"mo",output:"\u215A",ttype:CONST},{input:"\\frac18",tag:"mo",output:"\u215B",ttype:CONST},{input:"\\frac38",tag:"mo",output:"\u215C",ttype:CONST},{input:"\\frac58",tag:"mo",output:"\u215D",ttype:CONST},{input:"\\frac78",tag:"mo",output:"\u215E",ttype:CONST},{input:"\\pm",tag:"mo",output:"\u00B1",ttype:CONST},{input:"\\mp",tag:"mo",output:"\u2213",ttype:CONST},{input:"\\triangleleft",tag:"mo",output:"\u22B2",ttype:CONST},{input:"\\triangleright",tag:"mo",output:"\u22B3",ttype:CONST},{input:"\\cdot",tag:"mo",output:"\u22C5",ttype:CONST},{input:"\\star",tag:"mo",output:"\u22C6",ttype:CONST},{input:"\\ast",tag:"mo",output:"\u002A",ttype:CONST},{input:"\\times",tag:"mo",output:"\u00D7",ttype:CONST},{input:"\\div",tag:"mo",output:"\u00F7",ttype:CONST},{input:"\\circ",tag:"mo",output:"\u2218",ttype:CONST},{input:"\\bullet",tag:"mo",output:"\u2022",ttype:CONST},{input:"\\oplus",tag:"mo",output:"\u2295",ttype:CONST},{input:"\\ominus",tag:"mo",output:"\u2296",ttype:CONST},{input:"\\otimes",tag:"mo",output:"\u2297",ttype:CONST},{input:"\\bigcirc",tag:"mo",output:"\u25CB",ttype:CONST},{input:"\\oslash",tag:"mo",output:"\u2298",ttype:CONST},{input:"\\odot",tag:"mo",output:"\u2299",ttype:CONST},{input:"\\land",tag:"mo",output:"\u2227",ttype:CONST},{input:"\\wedge",tag:"mo",output:"\u2227",ttype:CONST},{input:"\\lor",tag:"mo",output:"\u2228",ttype:CONST},{input:"\\vee",tag:"mo",output:"\u2228",ttype:CONST},{input:"\\cap",tag:"mo",output:"\u2229",ttype:CONST},{input:"\\cup",tag:"mo",output:"\u222A",ttype:CONST},{input:"\\sqcap",tag:"mo",output:"\u2293",ttype:CONST},{input:"\\sqcup",tag:"mo",output:"\u2294",ttype:CONST},{input:"\\uplus",tag:"mo",output:"\u228E",ttype:CONST},{input:"\\amalg",tag:"mo",output:"\u2210",ttype:CONST},{input:"\\bigtriangleup",tag:"mo",output:"\u25B3",ttype:CONST},{input:"\\bigtriangledown",tag:"mo",output:"\u25BD",ttype:CONST},{input:"\\dag",tag:"mo",output:"\u2020",ttype:CONST},{input:"\\dagger",tag:"mo",output:"\u2020",ttype:CONST},{input:"\\ddag",tag:"mo",output:"\u2021",ttype:CONST},{input:"\\ddagger",tag:"mo",output:"\u2021",ttype:CONST},{input:"\\lhd",tag:"mo",output:"\u22B2",ttype:CONST},{input:"\\rhd",tag:"mo",output:"\u22B3",ttype:CONST},{input:"\\unlhd",tag:"mo",output:"\u22B4",ttype:CONST},{input:"\\unrhd",tag:"mo",output:"\u22B5",ttype:CONST},{input:"\\sum",tag:"mo",output:"\u2211",ttype:UNDEROVER},{input:"\\prod",tag:"mo",output:"\u220F",ttype:UNDEROVER},{input:"\\bigcap",tag:"mo",output:"\u22C2",ttype:UNDEROVER},{input:"\\bigcup",tag:"mo",output:"\u22C3",ttype:UNDEROVER},{input:"\\bigwedge",tag:"mo",output:"\u22C0",ttype:UNDEROVER},{input:"\\bigvee",tag:"mo",output:"\u22C1",ttype:UNDEROVER},{input:"\\bigsqcap",tag:"mo",output:"\u2A05",ttype:UNDEROVER},{input:"\\bigsqcup",tag:"mo",output:"\u2A06",ttype:UNDEROVER},{input:"\\coprod",tag:"mo",output:"\u2210",ttype:UNDEROVER},{input:"\\bigoplus",tag:"mo",output:"\u2A01",ttype:UNDEROVER},{input:"\\bigotimes",tag:"mo",output:"\u2A02",ttype:UNDEROVER},{input:"\\bigodot",tag:"mo",output:"\u2A00",ttype:UNDEROVER},{input:"\\biguplus",tag:"mo",output:"\u2A04",ttype:UNDEROVER},{input:"\\int",tag:"mo",output:"\u222B",ttype:CONST},{input:"\\oint",tag:"mo",output:"\u222E",ttype:CONST},{input:":=",tag:"mo",output:":=",ttype:CONST},{input:"\\lt",tag:"mo",output:"<",ttype:CONST},{input:"\\gt",tag:"mo",output:">",ttype:CONST},{input:"\\ne",tag:"mo",output:"\u2260",ttype:CONST},{input:"\\neq",tag:"mo",output:"\u2260",ttype:CONST},{input:"\\le",tag:"mo",output:"\u2264",ttype:CONST},{input:"\\leq",tag:"mo",output:"\u2264",ttype:CONST},{input:"\\leqslant",tag:"mo",output:"\u2264",ttype:CONST},{input:"\\ge",tag:"mo",output:"\u2265",ttype:CONST},{input:"\\geq",tag:"mo",output:"\u2265",ttype:CONST},{input:"\\geqslant",tag:"mo",output:"\u2265",ttype:CONST},{input:"\\equiv",tag:"mo",output:"\u2261",ttype:CONST},{input:"\\ll",tag:"mo",output:"\u226A",ttype:CONST},{input:"\\gg",tag:"mo",output:"\u226B",ttype:CONST},{input:"\\doteq",tag:"mo",output:"\u2250",ttype:CONST},{input:"\\prec",tag:"mo",output:"\u227A",ttype:CONST},{input:"\\succ",tag:"mo",output:"\u227B",ttype:CONST},{input:"\\preceq",tag:"mo",output:"\u227C",ttype:CONST},{input:"\\succeq",tag:"mo",output:"\u227D",ttype:CONST},{input:"\\subset",tag:"mo",output:"\u2282",ttype:CONST},{input:"\\supset",tag:"mo",output:"\u2283",ttype:CONST},{input:"\\subseteq",tag:"mo",output:"\u2286",ttype:CONST},{input:"\\supseteq",tag:"mo",output:"\u2287",ttype:CONST},{input:"\\sqsubset",tag:"mo",output:"\u228F",ttype:CONST},{input:"\\sqsupset",tag:"mo",output:"\u2290",ttype:CONST},{input:"\\sqsubseteq",tag:"mo",output:"\u2291",ttype:CONST},{input:"\\sqsupseteq",tag:"mo",output:"\u2292",ttype:CONST},{input:"\\sim",tag:"mo",output:"\u223C",ttype:CONST},{input:"\\simeq",tag:"mo",output:"\u2243",ttype:CONST},{input:"\\approx",tag:"mo",output:"\u2248",ttype:CONST},{input:"\\cong",tag:"mo",output:"\u2245",ttype:CONST},{input:"\\Join",tag:"mo",output:"\u22C8",ttype:CONST},{input:"\\bowtie",tag:"mo",output:"\u22C8",ttype:CONST},{input:"\\in",tag:"mo",output:"\u2208",ttype:CONST},{input:"\\ni",tag:"mo",output:"\u220B",ttype:CONST},{input:"\\owns",tag:"mo",output:"\u220B",ttype:CONST},{input:"\\propto",tag:"mo",output:"\u221D",ttype:CONST},{input:"\\vdash",tag:"mo",output:"\u22A2",ttype:CONST},{input:"\\dashv",tag:"mo",output:"\u22A3",ttype:CONST},{input:"\\models",tag:"mo",output:"\u22A8",ttype:CONST},{input:"\\perp",tag:"mo",output:"\u22A5",ttype:CONST},{input:"\\smile",tag:"mo",output:"\u2323",ttype:CONST},{input:"\\frown",tag:"mo",output:"\u2322",ttype:CONST},{input:"\\asymp",tag:"mo",output:"\u224D",ttype:CONST},{input:"\\notin",tag:"mo",output:"\u2209",ttype:CONST},{input:"\\begin{eqnarray}",output:"X",ttype:MATRIX,invisible:true},{input:"\\begin{array}",output:"X",ttype:MATRIX,invisible:true},{input:"\\\\",output:"}&{",ttype:DEFINITION},{input:"\\end{eqnarray}",output:"}}",ttype:DEFINITION},{input:"\\end{array}",output:"}}",ttype:DEFINITION},{input:"\\big",tag:"mo",output:"X",atval:"1.2",ieval:"2.2",ttype:BIG},{input:"\\Big",tag:"mo",output:"X",atval:"1.6",ieval:"2.6",ttype:BIG},{input:"\\bigg",tag:"mo",output:"X",atval:"2.2",ieval:"3.2",ttype:BIG},{input:"\\Bigg",tag:"mo",output:"X",atval:"2.9",ieval:"3.9",ttype:BIG},{input:"\\left",tag:"mo",output:"X",ttype:LEFTBRACKET},{input:"\\right",tag:"mo",output:"X",ttype:RIGHTBRACKET},{input:"{",output:"{",ttype:LEFTBRACKET,invisible:true},{input:"}",output:"}",ttype:RIGHTBRACKET,invisible:true},{input:"(",tag:"mo",output:"(",atval:"1",ttype:STRETCHY},{input:"[",tag:"mo",output:"[",atval:"1",ttype:STRETCHY},{input:"\\lbrack",tag:"mo",output:"[",atval:"1",ttype:STRETCHY},{input:"\\{",tag:"mo",output:"{",atval:"1",ttype:STRETCHY},{input:"\\lbrace",tag:"mo",output:"{",atval:"1",ttype:STRETCHY},{input:"\\langle",tag:"mo",output:"\u2329",atval:"1",ttype:STRETCHY},{input:"\\lfloor",tag:"mo",output:"\u230A",atval:"1",ttype:STRETCHY},{input:"\\lceil",tag:"mo",output:"\u2308",atval:"1",ttype:STRETCHY},{input:")",tag:"mo",output:")",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"]",tag:"mo",output:"]",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rbrack",tag:"mo",output:"]",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\}",tag:"mo",output:"}",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rbrace",tag:"mo",output:"}",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rangle",tag:"mo",output:"\u232A",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rfloor",tag:"mo",output:"\u230B",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rceil",tag:"mo",output:"\u2309",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"|",tag:"mo",output:"\u2223",atval:"1",ttype:STRETCHY},{input:"\\|",tag:"mo",output:"\u2225",atval:"1",ttype:STRETCHY},{input:"\\vert",tag:"mo",output:"\u2223",atval:"1",ttype:STRETCHY},{input:"\\Vert",tag:"mo",output:"\u2225",atval:"1",ttype:STRETCHY},{input:"\\mid",tag:"mo",output:"\u2223",atval:"1",ttype:STRETCHY},{input:"\\parallel",tag:"mo",output:"\u2225",atval:"1",ttype:STRETCHY},{input:"/",tag:"mo",output:"/",atval:"1.01",ttype:STRETCHY},{input:"\\backslash",tag:"mo",output:"\u2216",atval:"1",ttype:STRETCHY},{input:"\\setminus",tag:"mo",output:"\\",ttype:CONST},{input:"\\!",tag:"mspace",atname:"width",atval:"-0.167em",ttype:SPACE},{input:"\\,",tag:"mspace",atname:"width",atval:"0.167em",ttype:SPACE},{input:"\\>",tag:"mspace",atname:"width",atval:"0.222em",ttype:SPACE},{input:"\\:",tag:"mspace",atname:"width",atval:"0.222em",ttype:SPACE},{input:"\\;",tag:"mspace",atname:"width",atval:"0.278em",ttype:SPACE},{input:"~",tag:"mspace",atname:"width",atval:"0.333em",ttype:SPACE},{input:"\\quad",tag:"mspace",atname:"width",atval:"1em",ttype:SPACE},{input:"\\qquad",tag:"mspace",atname:"width",atval:"2em",ttype:SPACE},{input:"\\prime",tag:"mo",output:"\u2032",ttype:CONST},{input:"'",tag:"mo",output:"\u02B9",ttype:CONST},{input:"''",tag:"mo",output:"\u02BA",ttype:CONST},{input:"'''",tag:"mo",output:"\u2034",ttype:CONST},{input:"''''",tag:"mo",output:"\u2057",ttype:CONST},{input:"\\ldots",tag:"mo",output:"\u2026",ttype:CONST},{input:"\\cdots",tag:"mo",output:"\u22EF",ttype:CONST},{input:"\\vdots",tag:"mo",output:"\u22EE",ttype:CONST},{input:"\\ddots",tag:"mo",output:"\u22F1",ttype:CONST},{input:"\\forall",tag:"mo",output:"\u2200",ttype:CONST},{input:"\\exists",tag:"mo",output:"\u2203",ttype:CONST},{input:"\\Re",tag:"mo",output:"\u211C",ttype:CONST},{input:"\\Im",tag:"mo",output:"\u2111",ttype:CONST},{input:"\\aleph",tag:"mo",output:"\u2135",ttype:CONST},{input:"\\hbar",tag:"mo",output:"\u210F",ttype:CONST},{input:"\\ell",tag:"mo",output:"\u2113",ttype:CONST},{input:"\\wp",tag:"mo",output:"\u2118",ttype:CONST},{input:"\\emptyset",tag:"mo",output:"\u2205",ttype:CONST},{input:"\\infty",tag:"mo",output:"\u221E",ttype:CONST},{input:"\\surd",tag:"mo",output:"\\sqrt{}",ttype:DEFINITION},{input:"\\partial",tag:"mo",output:"\u2202",ttype:CONST},{input:"\\nabla",tag:"mo",output:"\u2207",ttype:CONST},{input:"\\triangle",tag:"mo",output:"\u25B3",ttype:CONST},{input:"\\therefore",tag:"mo",output:"\u2234",ttype:CONST},{input:"\\angle",tag:"mo",output:"\u2220",ttype:CONST},{input:"\\diamond",tag:"mo",output:"\u22C4",ttype:CONST},{input:"\\Diamond",tag:"mo",output:"\u25C7",ttype:CONST},{input:"\\neg",tag:"mo",output:"\u00AC",ttype:CONST},{input:"\\lnot",tag:"mo",output:"\u00AC",ttype:CONST},{input:"\\bot",tag:"mo",output:"\u22A5",ttype:CONST},{input:"\\top",tag:"mo",output:"\u22A4",ttype:CONST},{input:"\\square",tag:"mo",output:"\u25AB",ttype:CONST},{input:"\\Box",tag:"mo",output:"\u25A1",ttype:CONST},{input:"\\wr",tag:"mo",output:"\u2240",ttype:CONST},{input:"\\arccos",tag:"mi",output:"arccos",ttype:UNARY,func:true},{input:"\\arcsin",tag:"mi",output:"arcsin",ttype:UNARY,func:true},{input:"\\arctan",tag:"mi",output:"arctan",ttype:UNARY,func:true},{input:"\\arg",tag:"mi",output:"arg",ttype:UNARY,func:true},{input:"\\cos",tag:"mi",output:"cos",ttype:UNARY,func:true},{input:"\\cosh",tag:"mi",output:"cosh",ttype:UNARY,func:true},{input:"\\cot",tag:"mi",output:"cot",ttype:UNARY,func:true},{input:"\\coth",tag:"mi",output:"coth",ttype:UNARY,func:true},{input:"\\csc",tag:"mi",output:"csc",ttype:UNARY,func:true},{input:"\\deg",tag:"mi",output:"deg",ttype:UNARY,func:true},{input:"\\det",tag:"mi",output:"det",ttype:UNARY,func:true},{input:"\\dim",tag:"mi",output:"dim",ttype:UNARY,func:true},{input:"\\exp",tag:"mi",output:"exp",ttype:UNARY,func:true},{input:"\\gcd",tag:"mi",output:"gcd",ttype:UNARY,func:true},{input:"\\hom",tag:"mi",output:"hom",ttype:UNARY,func:true},{input:"\\inf",tag:"mo",output:"inf",ttype:UNDEROVER},{input:"\\ker",tag:"mi",output:"ker",ttype:UNARY,func:true},{input:"\\lg",tag:"mi",output:"lg",ttype:UNARY,func:true},{input:"\\lim",tag:"mo",output:"lim",ttype:UNDEROVER},{input:"\\liminf",tag:"mo",output:"liminf",ttype:UNDEROVER},{input:"\\limsup",tag:"mo",output:"limsup",ttype:UNDEROVER},{input:"\\ln",tag:"mi",output:"ln",ttype:UNARY,func:true},{input:"\\log",tag:"mi",output:"log",ttype:UNARY,func:true},{input:"\\max",tag:"mo",output:"max",ttype:UNDEROVER},{input:"\\min",tag:"mo",output:"min",ttype:UNDEROVER},{input:"\\Pr",tag:"mi",output:"Pr",ttype:UNARY,func:true},{input:"\\sec",tag:"mi",output:"sec",ttype:UNARY,func:true},{input:"\\sin",tag:"mi",output:"sin",ttype:UNARY,func:true},{input:"\\sinh",tag:"mi",output:"sinh",ttype:UNARY,func:true},{input:"\\sup",tag:"mo",output:"sup",ttype:UNDEROVER},{input:"\\tan",tag:"mi",output:"tan",ttype:UNARY,func:true},{input:"\\tanh",tag:"mi",output:"tanh",ttype:UNARY,func:true},{input:"\\gets",tag:"mo",output:"\u2190",ttype:CONST},{input:"\\leftarrow",tag:"mo",output:"\u2190",ttype:CONST},{input:"\\to",tag:"mo",output:"\u2192",ttype:CONST},{input:"\\rightarrow",tag:"mo",output:"\u2192",ttype:CONST},{input:"\\leftrightarrow",tag:"mo",output:"\u2194",ttype:CONST},{input:"\\uparrow",tag:"mo",output:"\u2191",ttype:CONST},{input:"\\downarrow",tag:"mo",output:"\u2193",ttype:CONST},{input:"\\updownarrow",tag:"mo",output:"\u2195",ttype:CONST},{input:"\\Leftarrow",tag:"mo",output:"\u21D0",ttype:CONST},{input:"\\Rightarrow",tag:"mo",output:"\u21D2",ttype:CONST},{input:"\\Leftrightarrow",tag:"mo",output:"\u21D4",ttype:CONST},{input:"\\iff",tag:"mo",output:"~\\Longleftrightarrow~",ttype:DEFINITION},{input:"\\Uparrow",tag:"mo",output:"\u21D1",ttype:CONST},{input:"\\Downarrow",tag:"mo",output:"\u21D3",ttype:CONST},{input:"\\Updownarrow",tag:"mo",output:"\u21D5",ttype:CONST},{input:"\\mapsto",tag:"mo",output:"\u21A6",ttype:CONST},{input:"\\longleftarrow",tag:"mo",output:"\u2190",ttype:LONG},{input:"\\longrightarrow",tag:"mo",output:"\u2192",ttype:LONG},{input:"\\longleftrightarrow",tag:"mo",output:"\u2194",ttype:LONG},{input:"\\Longleftarrow",tag:"mo",output:"\u21D0",ttype:LONG},{input:"\\Longrightarrow",tag:"mo",output:"\u21D2",ttype:LONG},{input:"\\Longleftrightarrow",tag:"mo",output:"\u21D4",ttype:LONG},{input:"\\longmapsto",tag:"mo",output:"\u21A6",ttype:CONST},AMsqrt,AMroot,AMfrac,AMover,AMsub,AMsup,AMtext,AMmbox,AMatop,AMchoose,{input:"\\acute",tag:"mover",output:"\u00B4",ttype:UNARY,acc:true},{input:"\\grave",tag:"mover",output:"\u0060",ttype:UNARY,acc:true},{input:"\\breve",tag:"mover",output:"\u02D8",ttype:UNARY,acc:true},{input:"\\check",tag:"mover",output:"\u02C7",ttype:UNARY,acc:true},{input:"\\dot",tag:"mover",output:".",ttype:UNARY,acc:true},{input:"\\ddot",tag:"mover",output:"..",ttype:UNARY,acc:true},{input:"\\mathring",tag:"mover",output:"\u00B0",ttype:UNARY,acc:true},{input:"\\vec",tag:"mover",output:"\u20D7",ttype:UNARY,acc:true},{input:"\\overrightarrow",tag:"mover",output:"\u20D7",ttype:UNARY,acc:true},{input:"\\overleftarrow",tag:"mover",output:"\u20D6",ttype:UNARY,acc:true},{input:"\\hat",tag:"mover",output:"\u005E",ttype:UNARY,acc:true},{input:"\\widehat",tag:"mover",output:"\u0302",ttype:UNARY,acc:true},{input:"\\tilde",tag:"mover",output:"~",ttype:UNARY,acc:true},{input:"\\widetilde",tag:"mover",output:"\u02DC",ttype:UNARY,acc:true},{input:"\\bar",tag:"mover",output:"\u203E",ttype:UNARY,acc:true},{input:"\\overbrace",tag:"mover",output:"\uFE37",ttype:UNARY,acc:true},{input:"\\overbracket",tag:"mover",output:"\u23B4",ttype:UNARY,acc:true},{input:"\\overline",tag:"mover",output:"\u00AF",ttype:UNARY,acc:true},{input:"\\underbrace",tag:"munder",output:"\uFE38",ttype:UNARY,acc:true},{input:"\\underbracket",tag:"munder",output:"\u23B5",ttype:UNARY,acc:true},{input:"\\underline",tag:"munder",output:"\u00AF",ttype:UNARY,acc:true},{input:"\\displaystyle",tag:"mstyle",atname:"displaystyle",atval:"true",ttype:UNARY},{input:"\\textstyle",tag:"mstyle",atname:"displaystyle",atval:"false",ttype:UNARY},{input:"\\scriptstyle",tag:"mstyle",atname:"scriptlevel",atval:"1",ttype:UNARY},{input:"\\scriptscriptstyle",tag:"mstyle",atname:"scriptlevel",atval:"2",ttype:UNARY},{input:"\\textrm",tag:"mstyle",output:"\\mathrm",ttype:DEFINITION},{input:"\\mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",ttype:UNARY},{input:"\\textbf",tag:"mstyle",atname:"mathvariant",atval:"bold",ttype:UNARY},{input:"\\mathit",tag:"mstyle",atname:"mathvariant",atval:"italic",ttype:UNARY},{input:"\\textit",tag:"mstyle",atname:"mathvariant",atval:"italic",ttype:UNARY},{input:"\\mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",ttype:UNARY},{input:"\\texttt",tag:"mstyle",atname:"mathvariant",atval:"monospace",ttype:UNARY},{input:"\\mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",ttype:UNARY},{input:"\\mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",ttype:UNARY,codes:AMbbb},{input:"\\mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",ttype:UNARY,codes:AMcal},{input:"\\mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",ttype:UNARY,codes:AMfrk},{input:"\\textcolor",tag:"mstyle",atname:"mathvariant",atval:"mathcolor",ttype:BINARY},{input:"\\colorbox",tag:"mstyle",atname:"mathvariant",atval:"background",ttype:BINARY}];function compareNames(s1,s2){if(s1.input>s2.input)return 1 else return-1;} -var AMnames=[];function initSymbols(){var texsymbols=[],i;for(i=0;i<AMsymbols.length;i++) -if(AMsymbols[i].tex) -texsymbols[texsymbols.length]={input:AMsymbols[i].tex,tag:AMsymbols[i].tag,output:AMsymbols[i].output,ttype:AMsymbols[i].ttype};AMsymbols=AMsymbols.concat(texsymbols);refreshSymbols();} -function refreshSymbols(){var i;AMsymbols.sort(compareNames);for(i=0;i<AMsymbols.length;i++)AMnames[i]=AMsymbols[i].input;LMsymbols.sort(compareNames);for(i=0;i<LMsymbols.length;i++)LMnames[i]=LMsymbols[i].input;} -function define(oldstr,newstr){if(oldstr.substr(0,1)=="\\") -LMsymbols=LMsymbols.concat([{input:oldstr,tag:"mo",output:newstr,ttype:DEFINITION}]);else -AMsymbols=AMsymbols.concat([{input:oldstr,tag:"mo",output:newstr,tex:null,ttype:DEFINITION}]);refreshSymbols();} -function AMremoveCharsAndBlanks(str,n){var st;if(str.charAt(n)=="\\"&&str.charAt(n+1)!="\\"&&str.charAt(n+1)!=" ") -st=str.slice(n+1);else st=str.slice(n);for(var i=0;i<st.length&&st.charCodeAt(i)<=32;i=i+1);return st.slice(i);} -function position(arr,str,n){if(n==0){var h,m;n=-1;h=arr.length;while(n+1<h){m=(n+h)>>1;if(arr[m]<str)n=m;else h=m;} +var AMnames=[];function AMinitSymbols(){AMsymbols.sort(compareNames);for(i=0;i<AMsymbols.length;i++)AMnames[i]=AMsymbols[i].input;} +var AMmathml="http://www.w3.org/1998/Math/MathML";function AMcreateElementMathML(t){if(isIE)return document.createElement("m:"+t);else return document.createElementNS(AMmathml,t);} +function AMcreateMmlNode(t,frag){if(isIE)var node=document.createElement("m:"+t);else var node=document.createElementNS(AMmathml,t);node.appendChild(frag);return node;} +function newcommand(oldstr,newstr){AMsymbols=AMsymbols.concat([{input:oldstr,tag:"mo",output:newstr,ttype:DEFINITION}]);} +function AMremoveCharsAndBlanks(str,n){var st;st=str.slice(n);for(var i=0;i<st.length&&st.charCodeAt(i)<=32;i=i+1);return st.slice(i);} +function AMposition(arr,str,n){if(n==0){var h,m;n=-1;h=arr.length;while(n+1<h){m=(n+h)>>1;if(arr[m]<str)n=m;else h=m;} return h;}else for(var i=n;i<arr.length&&arr[i]<str;i++);return i;} -function AMgetSymbol(str){var k=0;var j=0;var mk;var st;var tagst;var match="";var more=true;for(var i=1;i<=str.length&&more;i++){st=str.slice(0,i);j=k;k=position(AMnames,st,j);if(k<AMnames.length&&str.slice(0,AMnames[k].length)==AMnames[k]){match=AMnames[k];mk=k;i=match.length;} +function AMgetSymbol(str){var k=0;var j=0;var mk;var st;var tagst;var match="";var more=true;for(var i=1;i<=str.length&&more;i++){st=str.slice(0,i);j=k;k=AMposition(AMnames,st,j);if(k<AMnames.length&&str.slice(0,AMnames[k].length)==AMnames[k]){match=AMnames[k];mk=k;i=match.length;} more=k<AMnames.length&&str.slice(0,AMnames[k].length)>=AMnames[k];} AMpreviousSymbol=AMcurrentSymbol;if(match!=""){AMcurrentSymbol=AMsymbols[mk].ttype;return AMsymbols[mk];} -AMcurrentSymbol=CONST;k=1;st=str.slice(0,1);var integ=true;while("0"<=st&&st<="9"&&k<=str.length){st=str.slice(k,k+1);k++;} -if(st==decimalsign){st=str.slice(k,k+1);if("0"<=st&&st<="9"){integ=false;k++;while("0"<=st&&st<="9"&&k<=str.length){st=str.slice(k,k+1);k++;}}} -if((integ&&k>1)||k>2){st=str.slice(0,k-1);tagst="mn";}else{k=2;st=str.slice(0,1);tagst=(("A">st||st>"Z")&&("a">st||st>"z")?"mo":"mi");} -if(st=="-"&&AMpreviousSymbol==INFIX){AMcurrentSymbol=INFIX;return{input:st,tag:tagst,output:st,ttype:UNARY,func:true};} -return{input:st,tag:tagst,output:st,ttype:CONST};} -function AMremoveBrackets(node){var st;if(node.nodeName=="mrow"){st=node.firstChild.firstChild.nodeValue;if(st=="("||st=="["||st=="{")node.removeChild(node.firstChild);} -if(node.nodeName=="mrow"){st=node.lastChild.firstChild.nodeValue;if(st==")"||st=="]"||st=="}")node.removeChild(node.lastChild);}} -var AMnestingDepth,AMpreviousSymbol,AMcurrentSymbol;function AMparseSexpr(str){var symbol,node,result,i,st,newFrag=document.createDocumentFragment();str=AMremoveCharsAndBlanks(str,0);symbol=AMgetSymbol(str);if(symbol==null||symbol.ttype==RIGHTBRACKET&&AMnestingDepth>0){return[null,str];} -if(symbol.ttype==DEFINITION){str=symbol.output+AMremoveCharsAndBlanks(str,symbol.input.length);symbol=AMgetSymbol(str);} -switch(symbol.ttype){case UNDEROVER:case CONST:str=AMremoveCharsAndBlanks(str,symbol.input.length);return[createMmlNode(symbol.tag,document.createTextNode(symbol.output)),str];case LEFTBRACKET:AMnestingDepth++;str=AMremoveCharsAndBlanks(str,symbol.input.length);result=AMparseExpr(str,true);AMnestingDepth--;if(typeof symbol.invisible=="boolean"&&symbol.invisible) -node=createMmlNode("mrow",result[0]);else{node=createMmlNode("mo",document.createTextNode(symbol.output));node=createMmlNode("mrow",node);node.appendChild(result[0]);} -return[node,result[1]];case TEXT:if(symbol!=AMquote)str=AMremoveCharsAndBlanks(str,symbol.input.length);if(str.charAt(0)=="{")i=str.indexOf("}");else if(str.charAt(0)=="(")i=str.indexOf(")");else if(str.charAt(0)=="[")i=str.indexOf("]");else if(symbol==AMquote)i=str.slice(1).indexOf("\"")+1;else i=0;if(i==-1)i=str.length;st=str.slice(1,i);if(st.charAt(0)==" "){node=createMmlNode("mspace");node.setAttribute("width","1ex");newFrag.appendChild(node);} -newFrag.appendChild(createMmlNode(symbol.tag,document.createTextNode(st)));if(st.charAt(st.length-1)==" "){node=createMmlNode("mspace");node.setAttribute("width","1ex");newFrag.appendChild(node);} -str=AMremoveCharsAndBlanks(str,i+1);return[createMmlNode("mrow",newFrag),str];case UNARY:str=AMremoveCharsAndBlanks(str,symbol.input.length);result=AMparseSexpr(str);if(result[0]==null)return[createMmlNode(symbol.tag,document.createTextNode(symbol.output)),str];if(typeof symbol.func=="boolean"&&symbol.func){st=str.charAt(0);if(st=="^"||st=="_"||st=="/"||st=="|"||st==","){return[createMmlNode(symbol.tag,document.createTextNode(symbol.output)),str];}else{node=createMmlNode("mrow",createMmlNode(symbol.tag,document.createTextNode(symbol.output)));node.appendChild(result[0]);return[node,result[1]];}} -AMremoveBrackets(result[0]);if(symbol.input=="sqrt"){return[createMmlNode(symbol.tag,result[0]),result[1]];}else if(typeof symbol.acc=="boolean"&&symbol.acc){node=createMmlNode(symbol.tag,result[0]);node.appendChild(createMmlNode("mo",document.createTextNode(symbol.output)));return[node,result[1]];}else{if(!isIE&&typeof symbol.codes!="undefined"){for(i=0;i<result[0].childNodes.length;i++) -if(result[0].childNodes[i].nodeName=="mi"||result[0].nodeName=="mi"){st=(result[0].nodeName=="mi"?result[0].firstChild.nodeValue:result[0].childNodes[i].firstChild.nodeValue);var newst=[];for(var j=0;j<st.length;j++) -if(st.charCodeAt(j)>64&&st.charCodeAt(j)<91)newst=newst+ -String.fromCharCode(symbol.codes[st.charCodeAt(j)-65]);else newst=newst+st.charAt(j);if(result[0].nodeName=="mi") -result[0]=createMmlNode("mo").appendChild(document.createTextNode(newst));else result[0].replaceChild(createMmlNode("mo").appendChild(document.createTextNode(newst)),result[0].childNodes[i]);}} -node=createMmlNode(symbol.tag,result[0]);node.setAttribute(symbol.atname,symbol.atval);return[node,result[1]];} -case BINARY:str=AMremoveCharsAndBlanks(str,symbol.input.length);result=AMparseSexpr(str);if(result[0]==null)return[createMmlNode("mo",document.createTextNode(symbol.input)),str];AMremoveBrackets(result[0]);var result2=AMparseSexpr(result[1]);if(result2[0]==null)return[createMmlNode("mo",document.createTextNode(symbol.input)),str];AMremoveBrackets(result2[0]);if(symbol.input=="root"||symbol.input=="stackrel") -newFrag.appendChild(result2[0]);newFrag.appendChild(result[0]);if(symbol.input=="frac")newFrag.appendChild(result2[0]);return[createMmlNode(symbol.tag,newFrag),result2[1]];case INFIX:str=AMremoveCharsAndBlanks(str,symbol.input.length);return[createMmlNode("mo",document.createTextNode(symbol.output)),str];case SPACE:str=AMremoveCharsAndBlanks(str,symbol.input.length);node=createMmlNode("mspace");node.setAttribute("width","1ex");newFrag.appendChild(node);newFrag.appendChild(createMmlNode(symbol.tag,document.createTextNode(symbol.output)));node=createMmlNode("mspace");node.setAttribute("width","1ex");newFrag.appendChild(node);return[createMmlNode("mrow",newFrag),str];case LEFTRIGHT:AMnestingDepth++;str=AMremoveCharsAndBlanks(str,symbol.input.length);result=AMparseExpr(str,false);AMnestingDepth--;var st="";if(result[0].lastChild!=null) -st=result[0].lastChild.firstChild.nodeValue;if(st=="|"){node=createMmlNode("mo",document.createTextNode(symbol.output));node=createMmlNode("mrow",node);node.appendChild(result[0]);return[node,result[1]];}else{node=createMmlNode("mo",document.createTextNode("\u2223"));node=createMmlNode("mrow",node);return[node,str];} -default:str=AMremoveCharsAndBlanks(str,symbol.input.length);return[createMmlNode(symbol.tag,document.createTextNode(symbol.output)),str];}} -function AMparseIexpr(str){var symbol,sym1,sym2,node,result,underover;str=AMremoveCharsAndBlanks(str,0);sym1=AMgetSymbol(str);result=AMparseSexpr(str);node=result[0];str=result[1];symbol=AMgetSymbol(str);if(symbol.ttype==INFIX&&symbol.input!="/"){str=AMremoveCharsAndBlanks(str,symbol.input.length);result=AMparseSexpr(str);if(result[0]==null) -result[0]=createMmlNode("mo",document.createTextNode("\u25A1"));else AMremoveBrackets(result[0]);str=result[1];if(symbol.input=="_"){sym2=AMgetSymbol(str);underover=(sym1.ttype==UNDEROVER);if(sym2.input=="^"){str=AMremoveCharsAndBlanks(str,sym2.input.length);var res2=AMparseSexpr(str);AMremoveBrackets(res2[0]);str=res2[1];node=createMmlNode((underover?"munderover":"msubsup"),node);node.appendChild(result[0]);node.appendChild(res2[0]);node=createMmlNode("mrow",node);}else{node=createMmlNode((underover?"munder":"msub"),node);node.appendChild(result[0]);}}else{node=createMmlNode(symbol.tag,node);node.appendChild(result[0]);}} -return[node,str];} -function AMparseExpr(str,rightbracket){var symbol,node,result,i,nodeList=[],newFrag=document.createDocumentFragment();do{str=AMremoveCharsAndBlanks(str,0);result=AMparseIexpr(str);node=result[0];str=result[1];symbol=AMgetSymbol(str);if(symbol.ttype==INFIX&&symbol.input=="/"){str=AMremoveCharsAndBlanks(str,symbol.input.length);result=AMparseIexpr(str);if(result[0]==null) -result[0]=createMmlNode("mo",document.createTextNode("\u25A1"));else AMremoveBrackets(result[0]);str=result[1];AMremoveBrackets(node);node=createMmlNode(symbol.tag,node);node.appendChild(result[0]);newFrag.appendChild(node);symbol=AMgetSymbol(str);} -else if(node!=undefined)newFrag.appendChild(node);}while((symbol.ttype!=RIGHTBRACKET&&(symbol.ttype!=LEFTRIGHT||rightbracket)||AMnestingDepth==0)&&symbol!=null&&symbol.output!="");if(symbol.ttype==RIGHTBRACKET||symbol.ttype==LEFTRIGHT){var len=newFrag.childNodes.length;if(len>0&&newFrag.childNodes[len-1].nodeName=="mrow"&&len>1&&newFrag.childNodes[len-2].nodeName=="mo"&&newFrag.childNodes[len-2].firstChild.nodeValue==","){var right=newFrag.childNodes[len-1].lastChild.firstChild.nodeValue;if(right==")"||right=="]"){var left=newFrag.childNodes[len-1].firstChild.firstChild.nodeValue;if(left=="("&&right==")"&&symbol.output!="}"||left=="["&&right=="]"){var pos=[];var matrix=true;var m=newFrag.childNodes.length;for(i=0;matrix&&i<m;i=i+2){pos[i]=[];node=newFrag.childNodes[i];if(matrix)matrix=node.nodeName=="mrow"&&(i==m-1||node.nextSibling.nodeName=="mo"&&node.nextSibling.firstChild.nodeValue==",")&&node.firstChild.firstChild.nodeValue==left&&node.lastChild.firstChild.nodeValue==right;if(matrix) -for(var j=0;j<node.childNodes.length;j++) -if(node.childNodes[j].firstChild.nodeValue==",") -pos[i][pos[i].length]=j;if(matrix&&i>1)matrix=pos[i].length==pos[i-2].length;} -if(matrix){var row,frag,n,k,table=document.createDocumentFragment();for(i=0;i<m;i=i+2){row=document.createDocumentFragment();frag=document.createDocumentFragment();node=newFrag.firstChild;n=node.childNodes.length;k=0;node.removeChild(node.firstChild);for(j=1;j<n-1;j++){if(typeof pos[i][k]!="undefined"&&j==pos[i][k]){node.removeChild(node.firstChild);row.appendChild(createMmlNode("mtd",frag));k++;}else frag.appendChild(node.firstChild);} -row.appendChild(createMmlNode("mtd",frag));if(newFrag.childNodes.length>2){newFrag.removeChild(newFrag.firstChild);newFrag.removeChild(newFrag.firstChild);} -table.appendChild(createMmlNode("mtr",row));} -node=createMmlNode("mtable",table);if(typeof symbol.invisible=="boolean"&&symbol.invisible)node.setAttribute("columnalign","left");newFrag.replaceChild(node,newFrag.firstChild);}}}} -str=AMremoveCharsAndBlanks(str,symbol.input.length);if(typeof symbol.invisible!="boolean"||!symbol.invisible){node=createMmlNode("mo",document.createTextNode(symbol.output));newFrag.appendChild(node);}} -return[newFrag,str];} -function parseMath(str,latex){var frag,node;AMnestingDepth=0;frag=latex?LMparseExpr(str.replace(/^\s+/g,""),false,false)[0]:AMparseExpr(str.replace(/^\s+/g,""),false)[0];node=createMmlNode("mstyle",frag);node.setAttribute("mathcolor",mathcolor);node.setAttribute("fontfamily",mathfontfamily);node.setAttribute("mathsize",mathfontsize);if(displaystyle)node.setAttribute("displaystyle","true");node=createMmlNode("math",node);if(showasciiformulaonhover) -node.setAttribute("title",str.replace(/\s+/g," "));return node;} -function strarr2docFrag(arr,linebreaks,latex){var newFrag=document.createDocumentFragment();var expr=false;for(var i=0;i<arr.length;i++){if(expr)newFrag.appendChild(parseMath(arr[i],latex));else{var arri=(linebreaks?arr[i].split("\n\n"):[arr[i]]);newFrag.appendChild(createElementXHTML("span").appendChild(document.createTextNode(arri[0])));for(var j=1;j<arri.length;j++){newFrag.appendChild(createElementXHTML("p"));newFrag.appendChild(createElementXHTML("span").appendChild(document.createTextNode(arri[j])));}} -expr=!expr;} -return newFrag;} -function AMautomathrec(str){var texcommand="\\\\[a-zA-Z]+|\\\\\\s|";var ambigAMtoken="\\b(?:oo|lim|ln|int|oint|del|grad|aleph|prod|prop|sinh|cosh|tanh|cos|sec|pi|tt|fr|sf|sube|supe|sub|sup|det|mod|gcd|lcm|min|max|vec|ddot|ul|chi|eta|nu|mu)(?![a-z])|";var englishAMtoken="\\b(?:sum|ox|log|sin|tan|dim|hat|bar|dot)(?![a-z])|";var secondenglishAMtoken="|\\bI\\b|\\bin\\b|\\btext\\b";var simpleAMtoken="NN|ZZ|QQ|RR|CC|TT|AA|EE|sqrt|dx|dy|dz|dt|xx|vv|uu|nn|bb|cc|csc|cot|alpha|beta|delta|Delta|epsilon|gamma|Gamma|kappa|lambda|Lambda|omega|phi|Phi|Pi|psi|Psi|rho|sigma|Sigma|tau|theta|Theta|xi|Xi|zeta";var letter="[a-zA-HJ-Z](?=(?:[^a-zA-Z]|$|"+ambigAMtoken+englishAMtoken+simpleAMtoken+"))|";var token=letter+texcommand+"\\d+|[-()[\\]{}+=*&^_%\\\@/<>,\\|!:;'~]|\\.(?!(?:\x20|$))|"+ambigAMtoken+englishAMtoken+simpleAMtoken;var re=new RegExp("(^|\\s)((("+token+")\\s?)(("+token+secondenglishAMtoken+")\\s?)+)([,.?]?(?=\\s|$))","g");str=str.replace(re," `$2`$7");var arr=str.split(AMdelimiter1);var re1=new RegExp("(^|\\s)([b-zB-HJ-Z+*<>]|"+texcommand+ambigAMtoken+simpleAMtoken+")(\\s|\\n|$)","g");var re2=new RegExp("(^|\\s)([a-z]|"+texcommand+ambigAMtoken+simpleAMtoken+")([,.])","g");for(i=0;i<arr.length;i++) -if(i%2==0){arr[i]=arr[i].replace(re1," `$2`$3");arr[i]=arr[i].replace(re2," `$2`$3");arr[i]=arr[i].replace(/([{}[\]])/,"`$1`");} -str=arr.join(AMdelimiter1);str=str.replace(/((^|\s)\([a-zA-Z]{2,}.*?)\)`/g,"$1`)");str=str.replace(/`(\((a\s|in\s))(.*?[a-zA-Z]{2,}\))/g,"$1`$3");str=str.replace(/\sin`/g,"` in");str=str.replace(/`(\(\w\)[,.]?(\s|\n|$))/g,"$1`");str=str.replace(/`([0-9.]+|e.g|i.e)`(\.?)/gi,"$1$2");str=str.replace(/`([0-9.]+:)`/g,"$1");return str;} -function processNodeR(n,linebreaks,latex){var mtch,str,arr,frg,i;if(n.childNodes.length==0){if((n.nodeType!=8||linebreaks)&&n.parentNode.nodeName!="form"&&n.parentNode.nodeName!="FORM"&&n.parentNode.nodeName!="textarea"&&n.parentNode.nodeName!="TEXTAREA"){str=n.nodeValue;if(!(str==null)){str=str.replace(/\r\n\r\n/g,"\n\n");str=str.replace(/\x20+/g," ");str=str.replace(/\s*\r\n/g," ");if(latex){mtch=(str.indexOf("\$")==-1?false:true);str=str.replace(/([^\\])\$/g,"$1 \$");str=str.replace(/^\$/," \$");arr=str.split(" \$");for(i=0;i<arr.length;i++) -arr[i]=arr[i].replace(/\\\$/g,"\$");}else{mtch=false;str=str.replace(new RegExp(AMescape1,"g"),function(){mtch=true;return"AMescape1"});str=str.replace(/\\?end{?a?math}?/i,function(){automathrecognize=false;mtch=true;return""});str=str.replace(/amath\b|\\begin{a?math}/i,function(){automathrecognize=true;mtch=true;return""});arr=str.split(AMdelimiter1);if(automathrecognize) -for(i=0;i<arr.length;i++) -if(i%2==0)arr[i]=AMautomathrec(arr[i]);str=arr.join(AMdelimiter1);arr=str.split(AMdelimiter1);for(i=0;i<arr.length;i++) -arr[i]=arr[i].replace(/AMescape1/g,AMdelimiter1);} -if(arr.length>1||mtch){if(!noMathML){frg=strarr2docFrag(arr,n.nodeType==8,latex);var len=frg.childNodes.length;n.parentNode.replaceChild(frg,n);return len-1;}else return 0;}}}else return 0;}else if(n.nodeName!="math"){for(i=0;i<n.childNodes.length;i++) -i+=processNodeR(n.childNodes[i],linebreaks,latex);} -return 0;} -function AMprocessNode(n,linebreaks,spanclassAM){var frag,st;if(spanclassAM!=null){frag=document.getElementsByTagName("span") -for(var i=0;i<frag.length;i++) -if(frag[i].className=="AM") -processNodeR(frag[i],linebreaks,false);}else{try{st=n.innerHTML;}catch(err){} -if(st==null||/amath\b|\\begin{a?math}/i.test(st)||st.indexOf(AMdelimiter1+" ")!=-1||st.slice(-1)==AMdelimiter1||st.indexOf(AMdelimiter1+"<")!=-1||st.indexOf(AMdelimiter1+"\n")!=-1){processNodeR(n,linebreaks,false);}}} -var LMsymbols=[{input:"\\alpha",tag:"mi",output:"\u03B1",ttype:CONST},{input:"\\beta",tag:"mi",output:"\u03B2",ttype:CONST},{input:"\\gamma",tag:"mi",output:"\u03B3",ttype:CONST},{input:"\\delta",tag:"mi",output:"\u03B4",ttype:CONST},{input:"\\epsilon",tag:"mi",output:"\u03B5",ttype:CONST},{input:"\\varepsilon",tag:"mi",output:"\u025B",ttype:CONST},{input:"\\zeta",tag:"mi",output:"\u03B6",ttype:CONST},{input:"\\eta",tag:"mi",output:"\u03B7",ttype:CONST},{input:"\\theta",tag:"mi",output:"\u03B8",ttype:CONST},{input:"\\vartheta",tag:"mi",output:"\u03D1",ttype:CONST},{input:"\\iota",tag:"mi",output:"\u03B9",ttype:CONST},{input:"\\kappa",tag:"mi",output:"\u03BA",ttype:CONST},{input:"\\lambda",tag:"mi",output:"\u03BB",ttype:CONST},{input:"\\mu",tag:"mi",output:"\u03BC",ttype:CONST},{input:"\\nu",tag:"mi",output:"\u03BD",ttype:CONST},{input:"\\xi",tag:"mi",output:"\u03BE",ttype:CONST},{input:"\\pi",tag:"mi",output:"\u03C0",ttype:CONST},{input:"\\varpi",tag:"mi",output:"\u03D6",ttype:CONST},{input:"\\rho",tag:"mi",output:"\u03C1",ttype:CONST},{input:"\\varrho",tag:"mi",output:"\u03F1",ttype:CONST},{input:"\\varsigma",tag:"mi",output:"\u03C2",ttype:CONST},{input:"\\sigma",tag:"mi",output:"\u03C3",ttype:CONST},{input:"\\tau",tag:"mi",output:"\u03C4",ttype:CONST},{input:"\\upsilon",tag:"mi",output:"\u03C5",ttype:CONST},{input:"\\phi",tag:"mi",output:"\u03C6",ttype:CONST},{input:"\\varphi",tag:"mi",output:"\u03D5",ttype:CONST},{input:"\\chi",tag:"mi",output:"\u03C7",ttype:CONST},{input:"\\psi",tag:"mi",output:"\u03C8",ttype:CONST},{input:"\\omega",tag:"mi",output:"\u03C9",ttype:CONST},{input:"\\Gamma",tag:"mo",output:"\u0393",ttype:CONST},{input:"\\Delta",tag:"mo",output:"\u0394",ttype:CONST},{input:"\\Theta",tag:"mo",output:"\u0398",ttype:CONST},{input:"\\Lambda",tag:"mo",output:"\u039B",ttype:CONST},{input:"\\Xi",tag:"mo",output:"\u039E",ttype:CONST},{input:"\\Pi",tag:"mo",output:"\u03A0",ttype:CONST},{input:"\\Sigma",tag:"mo",output:"\u03A3",ttype:CONST},{input:"\\Upsilon",tag:"mo",output:"\u03A5",ttype:CONST},{input:"\\Phi",tag:"mo",output:"\u03A6",ttype:CONST},{input:"\\Psi",tag:"mo",output:"\u03A8",ttype:CONST},{input:"\\Omega",tag:"mo",output:"\u03A9",ttype:CONST},{input:"\\frac12",tag:"mo",output:"\u00BD",ttype:CONST},{input:"\\frac14",tag:"mo",output:"\u00BC",ttype:CONST},{input:"\\frac34",tag:"mo",output:"\u00BE",ttype:CONST},{input:"\\frac13",tag:"mo",output:"\u2153",ttype:CONST},{input:"\\frac23",tag:"mo",output:"\u2154",ttype:CONST},{input:"\\frac15",tag:"mo",output:"\u2155",ttype:CONST},{input:"\\frac25",tag:"mo",output:"\u2156",ttype:CONST},{input:"\\frac35",tag:"mo",output:"\u2157",ttype:CONST},{input:"\\frac45",tag:"mo",output:"\u2158",ttype:CONST},{input:"\\frac16",tag:"mo",output:"\u2159",ttype:CONST},{input:"\\frac56",tag:"mo",output:"\u215A",ttype:CONST},{input:"\\frac18",tag:"mo",output:"\u215B",ttype:CONST},{input:"\\frac38",tag:"mo",output:"\u215C",ttype:CONST},{input:"\\frac58",tag:"mo",output:"\u215D",ttype:CONST},{input:"\\frac78",tag:"mo",output:"\u215E",ttype:CONST},{input:"\\pm",tag:"mo",output:"\u00B1",ttype:CONST},{input:"\\mp",tag:"mo",output:"\u2213",ttype:CONST},{input:"\\triangleleft",tag:"mo",output:"\u22B2",ttype:CONST},{input:"\\triangleright",tag:"mo",output:"\u22B3",ttype:CONST},{input:"\\cdot",tag:"mo",output:"\u22C5",ttype:CONST},{input:"\\star",tag:"mo",output:"\u22C6",ttype:CONST},{input:"\\ast",tag:"mo",output:"\u002A",ttype:CONST},{input:"\\times",tag:"mo",output:"\u00D7",ttype:CONST},{input:"\\div",tag:"mo",output:"\u00F7",ttype:CONST},{input:"\\circ",tag:"mo",output:"\u2218",ttype:CONST},{input:"\\bullet",tag:"mo",output:"\u2022",ttype:CONST},{input:"\\oplus",tag:"mo",output:"\u2295",ttype:CONST},{input:"\\ominus",tag:"mo",output:"\u2296",ttype:CONST},{input:"\\otimes",tag:"mo",output:"\u2297",ttype:CONST},{input:"\\bigcirc",tag:"mo",output:"\u25CB",ttype:CONST},{input:"\\oslash",tag:"mo",output:"\u2298",ttype:CONST},{input:"\\odot",tag:"mo",output:"\u2299",ttype:CONST},{input:"\\land",tag:"mo",output:"\u2227",ttype:CONST},{input:"\\wedge",tag:"mo",output:"\u2227",ttype:CONST},{input:"\\lor",tag:"mo",output:"\u2228",ttype:CONST},{input:"\\vee",tag:"mo",output:"\u2228",ttype:CONST},{input:"\\cap",tag:"mo",output:"\u2229",ttype:CONST},{input:"\\cup",tag:"mo",output:"\u222A",ttype:CONST},{input:"\\sqcap",tag:"mo",output:"\u2293",ttype:CONST},{input:"\\sqcup",tag:"mo",output:"\u2294",ttype:CONST},{input:"\\uplus",tag:"mo",output:"\u228E",ttype:CONST},{input:"\\amalg",tag:"mo",output:"\u2210",ttype:CONST},{input:"\\bigtriangleup",tag:"mo",output:"\u25B3",ttype:CONST},{input:"\\bigtriangledown",tag:"mo",output:"\u25BD",ttype:CONST},{input:"\\dag",tag:"mo",output:"\u2020",ttype:CONST},{input:"\\dagger",tag:"mo",output:"\u2020",ttype:CONST},{input:"\\ddag",tag:"mo",output:"\u2021",ttype:CONST},{input:"\\ddagger",tag:"mo",output:"\u2021",ttype:CONST},{input:"\\lhd",tag:"mo",output:"\u22B2",ttype:CONST},{input:"\\rhd",tag:"mo",output:"\u22B3",ttype:CONST},{input:"\\unlhd",tag:"mo",output:"\u22B4",ttype:CONST},{input:"\\unrhd",tag:"mo",output:"\u22B5",ttype:CONST},{input:"\\sum",tag:"mo",output:"\u2211",ttype:UNDEROVER},{input:"\\prod",tag:"mo",output:"\u220F",ttype:UNDEROVER},{input:"\\bigcap",tag:"mo",output:"\u22C2",ttype:UNDEROVER},{input:"\\bigcup",tag:"mo",output:"\u22C3",ttype:UNDEROVER},{input:"\\bigwedge",tag:"mo",output:"\u22C0",ttype:UNDEROVER},{input:"\\bigvee",tag:"mo",output:"\u22C1",ttype:UNDEROVER},{input:"\\bigsqcap",tag:"mo",output:"\u2A05",ttype:UNDEROVER},{input:"\\bigsqcup",tag:"mo",output:"\u2A06",ttype:UNDEROVER},{input:"\\coprod",tag:"mo",output:"\u2210",ttype:UNDEROVER},{input:"\\bigoplus",tag:"mo",output:"\u2A01",ttype:UNDEROVER},{input:"\\bigotimes",tag:"mo",output:"\u2A02",ttype:UNDEROVER},{input:"\\bigodot",tag:"mo",output:"\u2A00",ttype:UNDEROVER},{input:"\\biguplus",tag:"mo",output:"\u2A04",ttype:UNDEROVER},{input:"\\int",tag:"mo",output:"\u222B",ttype:CONST},{input:"\\oint",tag:"mo",output:"\u222E",ttype:CONST},{input:":=",tag:"mo",output:":=",ttype:CONST},{input:"\\lt",tag:"mo",output:"<",ttype:CONST},{input:"\\gt",tag:"mo",output:">",ttype:CONST},{input:"\\ne",tag:"mo",output:"\u2260",ttype:CONST},{input:"\\neq",tag:"mo",output:"\u2260",ttype:CONST},{input:"\\le",tag:"mo",output:"\u2264",ttype:CONST},{input:"\\leq",tag:"mo",output:"\u2264",ttype:CONST},{input:"\\leqslant",tag:"mo",output:"\u2264",ttype:CONST},{input:"\\ge",tag:"mo",output:"\u2265",ttype:CONST},{input:"\\geq",tag:"mo",output:"\u2265",ttype:CONST},{input:"\\geqslant",tag:"mo",output:"\u2265",ttype:CONST},{input:"\\equiv",tag:"mo",output:"\u2261",ttype:CONST},{input:"\\ll",tag:"mo",output:"\u226A",ttype:CONST},{input:"\\gg",tag:"mo",output:"\u226B",ttype:CONST},{input:"\\doteq",tag:"mo",output:"\u2250",ttype:CONST},{input:"\\prec",tag:"mo",output:"\u227A",ttype:CONST},{input:"\\succ",tag:"mo",output:"\u227B",ttype:CONST},{input:"\\preceq",tag:"mo",output:"\u227C",ttype:CONST},{input:"\\succeq",tag:"mo",output:"\u227D",ttype:CONST},{input:"\\subset",tag:"mo",output:"\u2282",ttype:CONST},{input:"\\supset",tag:"mo",output:"\u2283",ttype:CONST},{input:"\\subseteq",tag:"mo",output:"\u2286",ttype:CONST},{input:"\\supseteq",tag:"mo",output:"\u2287",ttype:CONST},{input:"\\sqsubset",tag:"mo",output:"\u228F",ttype:CONST},{input:"\\sqsupset",tag:"mo",output:"\u2290",ttype:CONST},{input:"\\sqsubseteq",tag:"mo",output:"\u2291",ttype:CONST},{input:"\\sqsupseteq",tag:"mo",output:"\u2292",ttype:CONST},{input:"\\sim",tag:"mo",output:"\u223C",ttype:CONST},{input:"\\simeq",tag:"mo",output:"\u2243",ttype:CONST},{input:"\\approx",tag:"mo",output:"\u2248",ttype:CONST},{input:"\\cong",tag:"mo",output:"\u2245",ttype:CONST},{input:"\\Join",tag:"mo",output:"\u22C8",ttype:CONST},{input:"\\bowtie",tag:"mo",output:"\u22C8",ttype:CONST},{input:"\\in",tag:"mo",output:"\u2208",ttype:CONST},{input:"\\ni",tag:"mo",output:"\u220B",ttype:CONST},{input:"\\owns",tag:"mo",output:"\u220B",ttype:CONST},{input:"\\propto",tag:"mo",output:"\u221D",ttype:CONST},{input:"\\vdash",tag:"mo",output:"\u22A2",ttype:CONST},{input:"\\dashv",tag:"mo",output:"\u22A3",ttype:CONST},{input:"\\models",tag:"mo",output:"\u22A8",ttype:CONST},{input:"\\perp",tag:"mo",output:"\u22A5",ttype:CONST},{input:"\\smile",tag:"mo",output:"\u2323",ttype:CONST},{input:"\\frown",tag:"mo",output:"\u2322",ttype:CONST},{input:"\\asymp",tag:"mo",output:"\u224D",ttype:CONST},{input:"\\notin",tag:"mo",output:"\u2209",ttype:CONST},{input:"\\begin{eqnarray}",output:"X",ttype:MATRIX,invisible:true},{input:"\\begin{array}",output:"X",ttype:MATRIX,invisible:true},{input:"\\\\",output:"}&{",ttype:DEFINITION},{input:"\\end{eqnarray}",output:"}}",ttype:DEFINITION},{input:"\\end{array}",output:"}}",ttype:DEFINITION},{input:"\\big",tag:"mo",output:"X",atval:"1.2",ieval:"2.2",ttype:BIG},{input:"\\Big",tag:"mo",output:"X",atval:"1.6",ieval:"2.6",ttype:BIG},{input:"\\bigg",tag:"mo",output:"X",atval:"2.2",ieval:"3.2",ttype:BIG},{input:"\\Bigg",tag:"mo",output:"X",atval:"2.9",ieval:"3.9",ttype:BIG},{input:"\\left",tag:"mo",output:"X",ttype:LEFTBRACKET},{input:"\\right",tag:"mo",output:"X",ttype:RIGHTBRACKET},{input:"{",output:"{",ttype:LEFTBRACKET,invisible:true},{input:"}",output:"}",ttype:RIGHTBRACKET,invisible:true},{input:"(",tag:"mo",output:"(",atval:"1",ttype:STRETCHY},{input:"[",tag:"mo",output:"[",atval:"1",ttype:STRETCHY},{input:"\\lbrack",tag:"mo",output:"[",atval:"1",ttype:STRETCHY},{input:"\\{",tag:"mo",output:"{",atval:"1",ttype:STRETCHY},{input:"\\lbrace",tag:"mo",output:"{",atval:"1",ttype:STRETCHY},{input:"\\langle",tag:"mo",output:"\u2329",atval:"1",ttype:STRETCHY},{input:"\\lfloor",tag:"mo",output:"\u230A",atval:"1",ttype:STRETCHY},{input:"\\lceil",tag:"mo",output:"\u2308",atval:"1",ttype:STRETCHY},{input:")",tag:"mo",output:")",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"]",tag:"mo",output:"]",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rbrack",tag:"mo",output:"]",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\}",tag:"mo",output:"}",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rbrace",tag:"mo",output:"}",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rangle",tag:"mo",output:"\u232A",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rfloor",tag:"mo",output:"\u230B",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"\\rceil",tag:"mo",output:"\u2309",rtag:"mi",atval:"1",ttype:STRETCHY},{input:"|",tag:"mo",output:"\u2223",atval:"1",ttype:STRETCHY},{input:"\\|",tag:"mo",output:"\u2225",atval:"1",ttype:STRETCHY},{input:"\\vert",tag:"mo",output:"\u2223",atval:"1",ttype:STRETCHY},{input:"\\Vert",tag:"mo",output:"\u2225",atval:"1",ttype:STRETCHY},{input:"\\mid",tag:"mo",output:"\u2223",atval:"1",ttype:STRETCHY},{input:"\\parallel",tag:"mo",output:"\u2225",atval:"1",ttype:STRETCHY},{input:"/",tag:"mo",output:"/",atval:"1.01",ttype:STRETCHY},{input:"\\backslash",tag:"mo",output:"\u2216",atval:"1",ttype:STRETCHY},{input:"\\setminus",tag:"mo",output:"\\",ttype:CONST},{input:"\\!",tag:"mspace",atname:"width",atval:"-0.167em",ttype:SPACE},{input:"\\,",tag:"mspace",atname:"width",atval:"0.167em",ttype:SPACE},{input:"\\>",tag:"mspace",atname:"width",atval:"0.222em",ttype:SPACE},{input:"\\:",tag:"mspace",atname:"width",atval:"0.222em",ttype:SPACE},{input:"\\;",tag:"mspace",atname:"width",atval:"0.278em",ttype:SPACE},{input:"~",tag:"mspace",atname:"width",atval:"0.333em",ttype:SPACE},{input:"\\quad",tag:"mspace",atname:"width",atval:"1em",ttype:SPACE},{input:"\\qquad",tag:"mspace",atname:"width",atval:"2em",ttype:SPACE},{input:"\\prime",tag:"mo",output:"\u2032",ttype:CONST},{input:"'",tag:"mo",output:"\u02B9",ttype:CONST},{input:"''",tag:"mo",output:"\u02BA",ttype:CONST},{input:"'''",tag:"mo",output:"\u2034",ttype:CONST},{input:"''''",tag:"mo",output:"\u2057",ttype:CONST},{input:"\\ldots",tag:"mo",output:"\u2026",ttype:CONST},{input:"\\cdots",tag:"mo",output:"\u22EF",ttype:CONST},{input:"\\vdots",tag:"mo",output:"\u22EE",ttype:CONST},{input:"\\ddots",tag:"mo",output:"\u22F1",ttype:CONST},{input:"\\forall",tag:"mo",output:"\u2200",ttype:CONST},{input:"\\exists",tag:"mo",output:"\u2203",ttype:CONST},{input:"\\Re",tag:"mo",output:"\u211C",ttype:CONST},{input:"\\Im",tag:"mo",output:"\u2111",ttype:CONST},{input:"\\aleph",tag:"mo",output:"\u2135",ttype:CONST},{input:"\\hbar",tag:"mo",output:"\u210F",ttype:CONST},{input:"\\ell",tag:"mo",output:"\u2113",ttype:CONST},{input:"\\wp",tag:"mo",output:"\u2118",ttype:CONST},{input:"\\emptyset",tag:"mo",output:"\u2205",ttype:CONST},{input:"\\infty",tag:"mo",output:"\u221E",ttype:CONST},{input:"\\surd",tag:"mo",output:"\\sqrt{}",ttype:DEFINITION},{input:"\\partial",tag:"mo",output:"\u2202",ttype:CONST},{input:"\\nabla",tag:"mo",output:"\u2207",ttype:CONST},{input:"\\triangle",tag:"mo",output:"\u25B3",ttype:CONST},{input:"\\therefore",tag:"mo",output:"\u2234",ttype:CONST},{input:"\\angle",tag:"mo",output:"\u2220",ttype:CONST},{input:"\\diamond",tag:"mo",output:"\u22C4",ttype:CONST},{input:"\\Diamond",tag:"mo",output:"\u25C7",ttype:CONST},{input:"\\neg",tag:"mo",output:"\u00AC",ttype:CONST},{input:"\\lnot",tag:"mo",output:"\u00AC",ttype:CONST},{input:"\\bot",tag:"mo",output:"\u22A5",ttype:CONST},{input:"\\top",tag:"mo",output:"\u22A4",ttype:CONST},{input:"\\square",tag:"mo",output:"\u25AB",ttype:CONST},{input:"\\Box",tag:"mo",output:"\u25A1",ttype:CONST},{input:"\\wr",tag:"mo",output:"\u2240",ttype:CONST},{input:"\\arccos",tag:"mi",output:"arccos",ttype:UNARY,func:true},{input:"\\arcsin",tag:"mi",output:"arcsin",ttype:UNARY,func:true},{input:"\\arctan",tag:"mi",output:"arctan",ttype:UNARY,func:true},{input:"\\arg",tag:"mi",output:"arg",ttype:UNARY,func:true},{input:"\\cos",tag:"mi",output:"cos",ttype:UNARY,func:true},{input:"\\cosh",tag:"mi",output:"cosh",ttype:UNARY,func:true},{input:"\\cot",tag:"mi",output:"cot",ttype:UNARY,func:true},{input:"\\coth",tag:"mi",output:"coth",ttype:UNARY,func:true},{input:"\\csc",tag:"mi",output:"csc",ttype:UNARY,func:true},{input:"\\deg",tag:"mi",output:"deg",ttype:UNARY,func:true},{input:"\\det",tag:"mi",output:"det",ttype:UNARY,func:true},{input:"\\dim",tag:"mi",output:"dim",ttype:UNARY,func:true},{input:"\\exp",tag:"mi",output:"exp",ttype:UNARY,func:true},{input:"\\gcd",tag:"mi",output:"gcd",ttype:UNARY,func:true},{input:"\\hom",tag:"mi",output:"hom",ttype:UNARY,func:true},{input:"\\inf",tag:"mo",output:"inf",ttype:UNDEROVER},{input:"\\ker",tag:"mi",output:"ker",ttype:UNARY,func:true},{input:"\\lg",tag:"mi",output:"lg",ttype:UNARY,func:true},{input:"\\lim",tag:"mo",output:"lim",ttype:UNDEROVER},{input:"\\liminf",tag:"mo",output:"liminf",ttype:UNDEROVER},{input:"\\limsup",tag:"mo",output:"limsup",ttype:UNDEROVER},{input:"\\ln",tag:"mi",output:"ln",ttype:UNARY,func:true},{input:"\\log",tag:"mi",output:"log",ttype:UNARY,func:true},{input:"\\max",tag:"mo",output:"max",ttype:UNDEROVER},{input:"\\min",tag:"mo",output:"min",ttype:UNDEROVER},{input:"\\Pr",tag:"mi",output:"Pr",ttype:UNARY,func:true},{input:"\\sec",tag:"mi",output:"sec",ttype:UNARY,func:true},{input:"\\sin",tag:"mi",output:"sin",ttype:UNARY,func:true},{input:"\\sinh",tag:"mi",output:"sinh",ttype:UNARY,func:true},{input:"\\sup",tag:"mo",output:"sup",ttype:UNDEROVER},{input:"\\tan",tag:"mi",output:"tan",ttype:UNARY,func:true},{input:"\\tanh",tag:"mi",output:"tanh",ttype:UNARY,func:true},{input:"\\gets",tag:"mo",output:"\u2190",ttype:CONST},{input:"\\leftarrow",tag:"mo",output:"\u2190",ttype:CONST},{input:"\\to",tag:"mo",output:"\u2192",ttype:CONST},{input:"\\rightarrow",tag:"mo",output:"\u2192",ttype:CONST},{input:"\\leftrightarrow",tag:"mo",output:"\u2194",ttype:CONST},{input:"\\uparrow",tag:"mo",output:"\u2191",ttype:CONST},{input:"\\downarrow",tag:"mo",output:"\u2193",ttype:CONST},{input:"\\updownarrow",tag:"mo",output:"\u2195",ttype:CONST},{input:"\\Leftarrow",tag:"mo",output:"\u21D0",ttype:CONST},{input:"\\Rightarrow",tag:"mo",output:"\u21D2",ttype:CONST},{input:"\\Leftrightarrow",tag:"mo",output:"\u21D4",ttype:CONST},{input:"\\iff",tag:"mo",output:"~\\Longleftrightarrow~",ttype:DEFINITION},{input:"\\Uparrow",tag:"mo",output:"\u21D1",ttype:CONST},{input:"\\Downarrow",tag:"mo",output:"\u21D3",ttype:CONST},{input:"\\Updownarrow",tag:"mo",output:"\u21D5",ttype:CONST},{input:"\\mapsto",tag:"mo",output:"\u21A6",ttype:CONST},{input:"\\longleftarrow",tag:"mo",output:"\u2190",ttype:LONG},{input:"\\longrightarrow",tag:"mo",output:"\u2192",ttype:LONG},{input:"\\longleftrightarrow",tag:"mo",output:"\u2194",ttype:LONG},{input:"\\Longleftarrow",tag:"mo",output:"\u21D0",ttype:LONG},{input:"\\Longrightarrow",tag:"mo",output:"\u21D2",ttype:LONG},{input:"\\implies",tag:"mo",output:"\u21D2",ttype:LONG},{input:"\\Longleftrightarrow",tag:"mo",output:"\u21D4",ttype:LONG},{input:"\\longmapsto",tag:"mo",output:"\u21A6",ttype:CONST},{input:"\\sqrt",tag:"msqrt",output:"sqrt",ttype:UNARY},{input:"\\root",tag:"mroot",output:"root",ttype:BINARY},{input:"\\frac",tag:"mfrac",output:"/",ttype:BINARY},{input:"\\stackrel",tag:"mover",output:"stackrel",ttype:BINARY},{input:"\\atop",tag:"mfrac",output:"",ttype:INFIX},{input:"\\choose",tag:"mfrac",output:"",ttype:INFIX},{input:"_",tag:"msub",output:"_",ttype:INFIX},{input:"^",tag:"msup",output:"^",ttype:INFIX},{input:"\\mathrm",tag:"mtext",output:"text",ttype:TEXT},{input:"\\mbox",tag:"mtext",output:"mbox",ttype:TEXT},{input:"\\acute",tag:"mover",output:"\u00B4",ttype:UNARY,acc:true},{input:"\\grave",tag:"mover",output:"\u0060",ttype:UNARY,acc:true},{input:"\\breve",tag:"mover",output:"\u02D8",ttype:UNARY,acc:true},{input:"\\check",tag:"mover",output:"\u02C7",ttype:UNARY,acc:true},{input:"\\dot",tag:"mover",output:".",ttype:UNARY,acc:true},{input:"\\ddot",tag:"mover",output:"..",ttype:UNARY,acc:true},{input:"\\mathring",tag:"mover",output:"\u00B0",ttype:UNARY,acc:true},{input:"\\vec",tag:"mover",output:"\u20D7",ttype:UNARY,acc:true},{input:"\\overrightarrow",tag:"mover",output:"\u20D7",ttype:UNARY,acc:true},{input:"\\overleftarrow",tag:"mover",output:"\u20D6",ttype:UNARY,acc:true},{input:"\\hat",tag:"mover",output:"\u005E",ttype:UNARY,acc:true},{input:"\\widehat",tag:"mover",output:"\u0302",ttype:UNARY,acc:true},{input:"\\tilde",tag:"mover",output:"~",ttype:UNARY,acc:true},{input:"\\widetilde",tag:"mover",output:"\u02DC",ttype:UNARY,acc:true},{input:"\\bar",tag:"mover",output:"\u203E",ttype:UNARY,acc:true},{input:"\\overbrace",tag:"mover",output:"\u23B4",ttype:UNARY,acc:true},{input:"\\overline",tag:"mover",output:"\u00AF",ttype:UNARY,acc:true},{input:"\\underbrace",tag:"munder",output:"\u23B5",ttype:UNARY,acc:true},{input:"\\underline",tag:"munder",output:"\u00AF",ttype:UNARY,acc:true},{input:"\\displaystyle",tag:"mstyle",atname:"displaystyle",atval:"true",ttype:UNARY},{input:"\\textstyle",tag:"mstyle",atname:"displaystyle",atval:"false",ttype:UNARY},{input:"\\scriptstyle",tag:"mstyle",atname:"scriptlevel",atval:"1",ttype:UNARY},{input:"\\scriptscriptstyle",tag:"mstyle",atname:"scriptlevel",atval:"2",ttype:UNARY},{input:"\\textrm",tag:"mstyle",output:"\\mathrm",ttype:DEFINITION},{input:"\\mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",ttype:UNARY},{input:"\\textbf",tag:"mstyle",atname:"mathvariant",atval:"bold",ttype:UNARY},{input:"\\mathit",tag:"mstyle",atname:"mathvariant",atval:"italic",ttype:UNARY},{input:"\\textit",tag:"mstyle",atname:"mathvariant",atval:"italic",ttype:UNARY},{input:"\\mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",ttype:UNARY},{input:"\\texttt",tag:"mstyle",atname:"mathvariant",atval:"monospace",ttype:UNARY},{input:"\\mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",ttype:UNARY},{input:"\\mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",ttype:UNARY,codes:AMbbb},{input:"\\mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",ttype:UNARY,codes:AMcal},{input:"\\mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",ttype:UNARY,codes:AMfrk}];var LMnames=[];function LMremoveCharsAndBlanks(str,n){var st;st=str.slice(n);for(var i=0;i<st.length&&st.charCodeAt(i)<=32;i=i+1);return st.slice(i);} -function LMgetSymbol(str){var k=0;var j=0;var mk;var st;var tagst;var match="";var more=true;for(var i=1;i<=str.length&&more;i++){st=str.slice(0,i);j=k;k=position(LMnames,st,j);if(k<LMnames.length&&str.slice(0,LMnames[k].length)==LMnames[k]){match=LMnames[k];mk=k;i=match.length;} -more=k<LMnames.length&&str.slice(0,LMnames[k].length)>=LMnames[k];} -LMpreviousSymbol=LMcurrentSymbol;if(match!=""){LMcurrentSymbol=LMsymbols[mk].ttype;return LMsymbols[mk];} -LMcurrentSymbol=CONST;k=1;st=str.slice(0,1);if("0"<=st&&st<="9")tagst="mn";else tagst=(("A">st||st>"Z")&&("a">st||st>"z")?"mo":"mi");return{input:st,tag:tagst,output:st,ttype:CONST};} -var LMpreviousSymbol,LMcurrentSymbol;function LMparseSexpr(str){var symbol,node,result,result2,i,st,newFrag=document.createDocumentFragment();str=LMremoveCharsAndBlanks(str,0);symbol=LMgetSymbol(str);if(symbol==null||symbol.ttype==RIGHTBRACKET) -return[null,str,null];if(symbol.ttype==DEFINITION){str=symbol.output+LMremoveCharsAndBlanks(str,symbol.input.length);symbol=LMgetSymbol(str);if(symbol==null||symbol.ttype==RIGHTBRACKET) +AMcurrentSymbol=CONST;k=1;st=str.slice(0,1);if("0"<=st&&st<="9")tagst="mn";else tagst=(("A">st||st>"Z")&&("a">st||st>"z")?"mo":"mi");return{input:st,tag:tagst,output:st,ttype:CONST};} +var AMpreviousSymbol,AMcurrentSymbol;function AMparseSexpr(str){var symbol,node,result,result2,i,st,newFrag=document.createDocumentFragment();str=AMremoveCharsAndBlanks(str,0);symbol=AMgetSymbol(str);if(symbol==null||symbol.ttype==RIGHTBRACKET) +return[null,str,null];if(symbol.ttype==DEFINITION){str=symbol.output+AMremoveCharsAndBlanks(str,symbol.input.length);symbol=AMgetSymbol(str);if(symbol==null||symbol.ttype==RIGHTBRACKET) return[null,str,null];} -str=LMremoveCharsAndBlanks(str,symbol.input.length);switch(symbol.ttype){case SPACE:node=createMmlNode(symbol.tag);node.setAttribute(symbol.atname,symbol.atval);return[node,str,symbol.tag];case UNDEROVER:if(isIE){if(symbol.input.substr(0,4)=="\\big"){str="\\"+symbol.input.substr(4)+str;symbol=LMgetSymbol(str);symbol.ttype=UNDEROVER;str=LMremoveCharsAndBlanks(str,symbol.input.length);}} -return[createMmlNode(symbol.tag,document.createTextNode(symbol.output)),str,symbol.tag];case CONST:var output=symbol.output;if(isIE){if(symbol.input=="'") +str=AMremoveCharsAndBlanks(str,symbol.input.length);switch(symbol.ttype){case SPACE:node=AMcreateElementMathML(symbol.tag);node.setAttribute(symbol.atname,symbol.atval);return[node,str,symbol.tag];case UNDEROVER:if(isIE){if(symbol.input.substr(0,4)=="\\big"){str="\\"+symbol.input.substr(4)+str;symbol=AMgetSymbol(str);symbol.ttype=UNDEROVER;str=AMremoveCharsAndBlanks(str,symbol.input.length);}} +return[AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)),str,symbol.tag];case CONST:var output=symbol.output;if(isIE){if(symbol.input=="'") output="\u2032";else if(symbol.input=="''") output="\u2033";else if(symbol.input=="'''") output="\u2033\u2032";else if(symbol.input=="''''") output="\u2033\u2033";else if(symbol.input=="\\square") output="\u25A1";else if(symbol.input.substr(0,5)=="\\frac"){var denom=symbol.input.substr(6,1);if(denom=="5"||denom=="6"){str=symbol.input.replace(/\\frac/,"\\frac ")+str;return[node,str,symbol.tag];}}} -node=createMmlNode(symbol.tag,document.createTextNode(output));return[node,str,symbol.tag];case LONG:node=createMmlNode(symbol.tag,document.createTextNode(symbol.output));node.setAttribute("minsize","1.5");node.setAttribute("maxsize","1.5");node=createMmlNode("mover",node);node.appendChild(createMmlNode("mspace"));return[node,str,symbol.tag];case STRETCHY:if(isIE&&symbol.input=="\\backslash") -symbol.output="\\";node=createMmlNode(symbol.tag,document.createTextNode(symbol.output));if(symbol.input=="|"||symbol.input=="\\vert"||symbol.input=="\\|"||symbol.input=="\\Vert"){node.setAttribute("lspace","0em");node.setAttribute("rspace","0em");} +node=AMcreateMmlNode(symbol.tag,document.createTextNode(output));return[node,str,symbol.tag];case LONG:node=AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output));node.setAttribute("minsize","1.5");node.setAttribute("maxsize","1.5");node=AMcreateMmlNode("mover",node);node.appendChild(AMcreateElementMathML("mspace"));return[node,str,symbol.tag];case STRETCHY:if(isIE&&symbol.input=="\\backslash") +symbol.output="\\";node=AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output));if(symbol.input=="|"||symbol.input=="\\vert"||symbol.input=="\\|"||symbol.input=="\\Vert"){node.setAttribute("lspace","0em");node.setAttribute("rspace","0em");} node.setAttribute("maxsize",symbol.atval);if(symbol.rtag!=null) return[node,str,symbol.rtag];else return[node,str,symbol.tag];case BIG:var atval=symbol.atval;if(isIE) -atval=symbol.ieval;symbol=LMgetSymbol(str);if(symbol==null) -return[null,str,null];str=LMremoveCharsAndBlanks(str,symbol.input.length);node=createMmlNode(symbol.tag,document.createTextNode(symbol.output));if(isIE){var space=createMmlNode("mspace");space.setAttribute("height",atval+"ex");node=createMmlNode("mrow",node);node.appendChild(space);}else{node.setAttribute("minsize",atval);node.setAttribute("maxsize",atval);} -return[node,str,symbol.tag];case LEFTBRACKET:if(symbol.input=="\\left"){symbol=LMgetSymbol(str);if(symbol!=null){if(symbol.input==".") -symbol.invisible=true;str=LMremoveCharsAndBlanks(str,symbol.input.length);}} -result=LMparseExpr(str,true,false);if(symbol==null||(typeof symbol.invisible=="boolean"&&symbol.invisible)) -node=createMmlNode("mrow",result[0]);else{node=createMmlNode("mo",document.createTextNode(symbol.output));node=createMmlNode("mrow",node);node.appendChild(result[0]);} -return[node,result[1],result[2]];case MATRIX:if(symbol.input=="\\begin{array}"){var mask="";symbol=LMgetSymbol(str);str=LMremoveCharsAndBlanks(str,0);if(symbol==null) -mask="l";else{str=LMremoveCharsAndBlanks(str,symbol.input.length);if(symbol.input!="{") -mask="l";else do{symbol=LMgetSymbol(str);if(symbol!=null){str=LMremoveCharsAndBlanks(str,symbol.input.length);if(symbol.input!="}") +atval=symbol.ieval;symbol=AMgetSymbol(str);if(symbol==null) +return[null,str,null];str=AMremoveCharsAndBlanks(str,symbol.input.length);node=AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output));if(isIE){var space=AMcreateElementMathML("mspace");space.setAttribute("height",atval+"ex");node=AMcreateMmlNode("mrow",node);node.appendChild(space);}else{node.setAttribute("minsize",atval);node.setAttribute("maxsize",atval);} +return[node,str,symbol.tag];case LEFTBRACKET:if(symbol.input=="\\left"){symbol=AMgetSymbol(str);if(symbol!=null){if(symbol.input==".") +symbol.invisible=true;str=AMremoveCharsAndBlanks(str,symbol.input.length);}} +result=AMparseExpr(str,true,false);if(symbol==null||(typeof symbol.invisible=="boolean"&&symbol.invisible)) +node=AMcreateMmlNode("mrow",result[0]);else{node=AMcreateMmlNode("mo",document.createTextNode(symbol.output));node=AMcreateMmlNode("mrow",node);node.appendChild(result[0]);} +return[node,result[1],result[2]];case MATRIX:if(symbol.input=="\\begin{array}"){var mask="";symbol=AMgetSymbol(str);str=AMremoveCharsAndBlanks(str,0);if(symbol==null) +mask="l";else{str=AMremoveCharsAndBlanks(str,symbol.input.length);if(symbol.input!="{") +mask="l";else do{symbol=AMgetSymbol(str);if(symbol!=null){str=AMremoveCharsAndBlanks(str,symbol.input.length);if(symbol.input!="}") mask=mask+symbol.input;}}while(symbol!=null&&symbol.input!=""&&symbol.input!="}");} -result=LMparseExpr("{"+str,true,true);node=createMmlNode("mtable",result[0]);mask=mask.replace(/l/g,"left ");mask=mask.replace(/r/g,"right ");mask=mask.replace(/c/g,"center ");node.setAttribute("columnalign",mask);node.setAttribute("displaystyle","false");if(isIE) -return[node,result[1],null];var lspace=createMmlNode("mspace");lspace.setAttribute("width","0.167em");var rspace=createMmlNode("mspace");rspace.setAttribute("width","0.167em");var node1=createMmlNode("mrow",lspace);node1.appendChild(node);node1.appendChild(rspace);return[node1,result[1],null];}else{result=LMparseExpr("{"+str,true,true);node=createMmlNode("mtable",result[0]);if(isIE) +result=AMparseExpr("{"+str,true,true);node=AMcreateMmlNode("mtable",result[0]);mask=mask.replace(/l/g,"left ");mask=mask.replace(/r/g,"right ");mask=mask.replace(/c/g,"center ");node.setAttribute("columnalign",mask);node.setAttribute("displaystyle","false");if(isIE) +return[node,result[1],null];var lspace=AMcreateElementMathML("mspace");lspace.setAttribute("width","0.167em");var rspace=AMcreateElementMathML("mspace");rspace.setAttribute("width","0.167em");var node1=AMcreateMmlNode("mrow",lspace);node1.appendChild(node);node1.appendChild(rspace);return[node1,result[1],null];}else{result=AMparseExpr("{"+str,true,true);node=AMcreateMmlNode("mtable",result[0]);if(isIE) node.setAttribute("columnspacing","0.25em");else -node.setAttribute("columnspacing","0.167em");node.setAttribute("columnalign","right center left");node.setAttribute("displaystyle","true");node=createMmlNode("mrow",node);return[node,result[1],null];} +node.setAttribute("columnspacing","0.167em");node.setAttribute("columnalign","right center left");node.setAttribute("displaystyle","true");node=AMcreateMmlNode("mrow",node);return[node,result[1],null];} case TEXT:if(str.charAt(0)=="{")i=str.indexOf("}");else i=0;if(i==-1) -i=str.length;st=str.slice(1,i);if(st.charAt(0)==" "){node=createMmlNode("mspace");node.setAttribute("width","0.33em");newFrag.appendChild(node);} -newFrag.appendChild(createMmlNode(symbol.tag,document.createTextNode(st)));if(st.charAt(st.length-1)==" "){node=createMmlNode("mspace");node.setAttribute("width","0.33em");newFrag.appendChild(node);} -str=LMremoveCharsAndBlanks(str,i+1);return[createMmlNode("mrow",newFrag),str,null];case UNARY:result=LMparseSexpr(str);if(result[0]==null)return[createMmlNode(symbol.tag,document.createTextNode(symbol.output)),str];if(typeof symbol.func=="boolean"&&symbol.func){st=str.charAt(0);if(st=="^"||st=="_"||st==","){return[createMmlNode(symbol.tag,document.createTextNode(symbol.output)),str,symbol.tag];}else{node=createMmlNode("mrow",createMmlNode(symbol.tag,document.createTextNode(symbol.output)));if(isIE){var space=createMmlNode("mspace");space.setAttribute("width","0.167em");node.appendChild(space);} +i=str.length;st=str.slice(1,i);if(st.charAt(0)==" "){node=AMcreateElementMathML("mspace");node.setAttribute("width","0.33em");newFrag.appendChild(node);} +newFrag.appendChild(AMcreateMmlNode(symbol.tag,document.createTextNode(st)));if(st.charAt(st.length-1)==" "){node=AMcreateElementMathML("mspace");node.setAttribute("width","0.33em");newFrag.appendChild(node);} +str=AMremoveCharsAndBlanks(str,i+1);return[AMcreateMmlNode("mrow",newFrag),str,null];case UNARY:result=AMparseSexpr(str);if(result[0]==null)return[AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)),str];if(typeof symbol.func=="boolean"&&symbol.func){st=str.charAt(0);if(st=="^"||st=="_"||st==","){return[AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)),str,symbol.tag];}else{node=AMcreateMmlNode("mrow",AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)));if(isIE){var space=AMcreateElementMathML("mspace");space.setAttribute("width","0.167em");node.appendChild(space);} node.appendChild(result[0]);return[node,result[1],symbol.tag];}} -if(symbol.input=="\\sqrt"){if(isIE){var space=createMmlNode("mspace");space.setAttribute("height","1.2ex");space.setAttribute("width","0em");node=createMmlNode(symbol.tag,result[0]) +if(symbol.input=="\\sqrt"){if(isIE){var space=AMcreateElementMathML("mspace");space.setAttribute("height","1.2ex");space.setAttribute("width","0em");node=AMcreateMmlNode(symbol.tag,result[0]) node.appendChild(space);return[node,result[1],symbol.tag];}else -return[createMmlNode(symbol.tag,result[0]),result[1],symbol.tag];}else if(typeof symbol.acc=="boolean"&&symbol.acc){node=createMmlNode(symbol.tag,result[0]);var output=symbol.output;if(isIE){if(symbol.input=="\\hat") +return[AMcreateMmlNode(symbol.tag,result[0]),result[1],symbol.tag];}else if(typeof symbol.acc=="boolean"&&symbol.acc){node=AMcreateMmlNode(symbol.tag,result[0]);var output=symbol.output;if(isIE){if(symbol.input=="\\hat") output="\u0302";else if(symbol.input=="\\widehat") output="\u005E";else if(symbol.input=="\\bar") output="\u00AF";else if(symbol.input=="\\grave") output="\u0300";else if(symbol.input=="\\tilde") output="\u0303";} -var node1=createMmlNode("mo",document.createTextNode(output));if(symbol.input=="\\vec"||symbol.input=="\\check") +var node1=AMcreateMmlNode("mo",document.createTextNode(output));if(symbol.input=="\\vec"||symbol.input=="\\check") node1.setAttribute("maxsize","1.2");if(isIE&&symbol.input=="\\bar") node1.setAttribute("maxsize","0.5");if(symbol.input=="\\underbrace"||symbol.input=="\\underline") node1.setAttribute("accentunder","true");else @@ -162,218 +100,111 @@ node.ttype=UNDEROVER;return[node,result[1],symbol.tag];}else{if(!isIE&&typeof sy if(result[0].childNodes[i].nodeName=="mi"||result[0].nodeName=="mi"){st=(result[0].nodeName=="mi"?result[0].firstChild.nodeValue:result[0].childNodes[i].firstChild.nodeValue);var newst=[];for(var j=0;j<st.length;j++) if(st.charCodeAt(j)>64&&st.charCodeAt(j)<91)newst=newst+ String.fromCharCode(symbol.codes[st.charCodeAt(j)-65]);else newst=newst+st.charAt(j);if(result[0].nodeName=="mi") -result[0]=createMmlNode("mo").appendChild(document.createTextNode(newst));else result[0].replaceChild(createMmlNode("mo").appendChild(document.createTextNode(newst)),result[0].childNodes[i]);}} -node=createMmlNode(symbol.tag,result[0]);node.setAttribute(symbol.atname,symbol.atval);if(symbol.input=="\\scriptstyle"||symbol.input=="\\scriptscriptstyle") +result[0]=AMcreateElementMathML("mo").appendChild(document.createTextNode(newst));else result[0].replaceChild(AMcreateElementMathML("mo").appendChild(document.createTextNode(newst)),result[0].childNodes[i]);}} +node=AMcreateMmlNode(symbol.tag,result[0]);node.setAttribute(symbol.atname,symbol.atval);if(symbol.input=="\\scriptstyle"||symbol.input=="\\scriptscriptstyle") node.setAttribute("displaystyle","false");return[node,result[1],symbol.tag];} -case BINARY:result=LMparseSexpr(str);if(result[0]==null)return[createMmlNode("mo",document.createTextNode(symbol.input)),str,null];result2=LMparseSexpr(result[1]);if(result2[0]==null)return[createMmlNode("mo",document.createTextNode(symbol.input)),str,null];if(symbol.input=="\\root"||symbol.input=="\\stackrel") -newFrag.appendChild(result2[0]);newFrag.appendChild(result[0]);if(symbol.input=="\\frac")newFrag.appendChild(result2[0]);return[createMmlNode(symbol.tag,newFrag),result2[1],symbol.tag];case INFIX:str=LMremoveCharsAndBlanks(str,symbol.input.length);return[createMmlNode("mo",document.createTextNode(symbol.output)),str,symbol.tag];default:return[createMmlNode(symbol.tag,document.createTextNode(symbol.output)),str,symbol.tag];}} -function LMparseIexpr(str){var symbol,sym1,sym2,node,result,tag,underover;str=LMremoveCharsAndBlanks(str,0);sym1=LMgetSymbol(str);result=LMparseSexpr(str);node=result[0];str=result[1];tag=result[2];symbol=LMgetSymbol(str);if(symbol.ttype==INFIX){str=LMremoveCharsAndBlanks(str,symbol.input.length);result=LMparseSexpr(str);if(result[0]==null) -result[0]=createMmlNode("mo",document.createTextNode("\u25A1"));str=result[1];tag=result[2];if(symbol.input=="_"||symbol.input=="^"){sym2=LMgetSymbol(str);tag=null;underover=((sym1.ttype==UNDEROVER)||(node.ttype==UNDEROVER));if(symbol.input=="_"&&sym2.input=="^"){str=LMremoveCharsAndBlanks(str,sym2.input.length);var res2=LMparseSexpr(str);str=res2[1];tag=res2[2];node=createMmlNode((underover?"munderover":"msubsup"),node);node.appendChild(result[0]);node.appendChild(res2[0]);}else if(symbol.input=="_"){node=createMmlNode((underover?"munder":"msub"),node);node.appendChild(result[0]);}else{node=createMmlNode((underover?"mover":"msup"),node);node.appendChild(result[0]);} -node=createMmlNode("mrow",node);}else{node=createMmlNode(symbol.tag,node);if(symbol.input=="\\atop"||symbol.input=="\\choose") +case BINARY:result=AMparseSexpr(str);if(result[0]==null)return[AMcreateMmlNode("mo",document.createTextNode(symbol.input)),str,null];result2=AMparseSexpr(result[1]);if(result2[0]==null)return[AMcreateMmlNode("mo",document.createTextNode(symbol.input)),str,null];if(symbol.input=="\\textcolor"||symbol.input=="\\colorbox"){var tclr=str.match(/\{\s*([#\w]+)\s*\}/);str=str.replace(/\{\s*[#\w]+\s*\}/,"");if(tclr!=null){if(IsColorName.test(tclr[1].toLowerCase())){tclr=LaTeXColor[tclr[1].toLowerCase()];}else{tclr=tclr[1];} +node=AMcreateElementMathML("mstyle");node.setAttribute(symbol.atval,tclr);node.appendChild(result2[0]);return[node,result2[1],symbol.tag];}} +if(symbol.input=="\\root"||symbol.input=="\\stackrel")newFrag.appendChild(result2[0]);newFrag.appendChild(result[0]);if(symbol.input=="\\frac")newFrag.appendChild(result2[0]);return[AMcreateMmlNode(symbol.tag,newFrag),result2[1],symbol.tag];case INFIX:str=AMremoveCharsAndBlanks(str,symbol.input.length);return[AMcreateMmlNode("mo",document.createTextNode(symbol.output)),str,symbol.tag];default:return[AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)),str,symbol.tag];}} +function AMparseIexpr(str){var symbol,sym1,sym2,node,result,tag,underover;str=AMremoveCharsAndBlanks(str,0);sym1=AMgetSymbol(str);result=AMparseSexpr(str);node=result[0];str=result[1];tag=result[2];symbol=AMgetSymbol(str);if(symbol.ttype==INFIX){str=AMremoveCharsAndBlanks(str,symbol.input.length);result=AMparseSexpr(str);if(result[0]==null) +result[0]=AMcreateMmlNode("mo",document.createTextNode("\u25A1"));str=result[1];tag=result[2];if(symbol.input=="_"||symbol.input=="^"){sym2=AMgetSymbol(str);tag=null;underover=((sym1.ttype==UNDEROVER)||(node.ttype==UNDEROVER));if(symbol.input=="_"&&sym2.input=="^"){str=AMremoveCharsAndBlanks(str,sym2.input.length);var res2=AMparseSexpr(str);str=res2[1];tag=res2[2];node=AMcreateMmlNode((underover?"munderover":"msubsup"),node);node.appendChild(result[0]);node.appendChild(res2[0]);}else if(symbol.input=="_"){node=AMcreateMmlNode((underover?"munder":"msub"),node);node.appendChild(result[0]);}else{node=AMcreateMmlNode((underover?"mover":"msup"),node);node.appendChild(result[0]);} +node=AMcreateMmlNode("mrow",node);}else{node=AMcreateMmlNode(symbol.tag,node);if(symbol.input=="\\atop"||symbol.input=="\\choose") node.setAttribute("linethickness","0ex");node.appendChild(result[0]);if(symbol.input=="\\choose") -node=createMmlNode("mfenced",node);}} +node=AMcreateMmlNode("mfenced",node);}} return[node,str,tag];} -function LMparseExpr(str,rightbracket,matrix){var symbol,node,result,i,tag,newFrag=document.createDocumentFragment();do{str=LMremoveCharsAndBlanks(str,0);result=LMparseIexpr(str);node=result[0];str=result[1];tag=result[2];symbol=LMgetSymbol(str);if(node!=undefined){if((tag=="mn"||tag=="mi")&&symbol!=null&&typeof symbol.func=="boolean"&&symbol.func){var space=createMmlNode("mspace");space.setAttribute("width","0.167em");node=createMmlNode("mrow",node);node.appendChild(space);} -newFrag.appendChild(node);}}while((symbol.ttype!=RIGHTBRACKET)&&symbol!=null&&symbol.output!="");tag=null;if(symbol.ttype==RIGHTBRACKET){if(symbol.input=="\\right"){str=LMremoveCharsAndBlanks(str,symbol.input.length);symbol=LMgetSymbol(str);if(symbol!=null&&symbol.input==".") +function AMparseExpr(str,rightbracket,matrix){var symbol,node,result,i,tag,newFrag=document.createDocumentFragment();do{str=AMremoveCharsAndBlanks(str,0);result=AMparseIexpr(str);node=result[0];str=result[1];tag=result[2];symbol=AMgetSymbol(str);if(node!=undefined){if((tag=="mn"||tag=="mi")&&symbol!=null&&typeof symbol.func=="boolean"&&symbol.func){var space=AMcreateElementMathML("mspace");space.setAttribute("width","0.167em");node=AMcreateMmlNode("mrow",node);node.appendChild(space);} +newFrag.appendChild(node);}}while((symbol.ttype!=RIGHTBRACKET)&&symbol!=null&&symbol.output!="");tag=null;if(symbol.ttype==RIGHTBRACKET){if(symbol.input=="\\right"){str=AMremoveCharsAndBlanks(str,symbol.input.length);symbol=AMgetSymbol(str);if(symbol!=null&&symbol.input==".") symbol.invisible=true;if(symbol!=null) tag=symbol.rtag;} if(symbol!=null) -str=LMremoveCharsAndBlanks(str,symbol.input.length);var len=newFrag.childNodes.length;if(matrix&&len>0&&newFrag.childNodes[len-1].nodeName=="mrow"&&len>1&&newFrag.childNodes[len-2].nodeName=="mo"&&newFrag.childNodes[len-2].firstChild.nodeValue=="&"){var pos=[];var m=newFrag.childNodes.length;for(i=0;matrix&&i<m;i=i+2){pos[i]=[];node=newFrag.childNodes[i];for(var j=0;j<node.childNodes.length;j++) +str=AMremoveCharsAndBlanks(str,symbol.input.length);var len=newFrag.childNodes.length;if(matrix&&len>0&&newFrag.childNodes[len-1].nodeName=="mrow"&&len>1&&newFrag.childNodes[len-2].nodeName=="mo"&&newFrag.childNodes[len-2].firstChild.nodeValue=="&"){var pos=[];var m=newFrag.childNodes.length;for(i=0;matrix&&i<m;i=i+2){pos[i]=[];node=newFrag.childNodes[i];for(var j=0;j<node.childNodes.length;j++) if(node.childNodes[j].firstChild.nodeValue=="&") pos[i][pos[i].length]=j;} -var row,frag,n,k,table=document.createDocumentFragment();for(i=0;i<m;i=i+2){row=document.createDocumentFragment();frag=document.createDocumentFragment();node=newFrag.firstChild;n=node.childNodes.length;k=0;for(j=0;j<n;j++){if(typeof pos[i][k]!="undefined"&&j==pos[i][k]){node.removeChild(node.firstChild);row.appendChild(createMmlNode("mtd",frag));k++;}else frag.appendChild(node.firstChild);} -row.appendChild(createMmlNode("mtd",frag));if(newFrag.childNodes.length>2){newFrag.removeChild(newFrag.firstChild);newFrag.removeChild(newFrag.firstChild);} -table.appendChild(createMmlNode("mtr",row));} +var row,frag,n,k,table=document.createDocumentFragment();for(i=0;i<m;i=i+2){row=document.createDocumentFragment();frag=document.createDocumentFragment();node=newFrag.firstChild;n=node.childNodes.length;k=0;for(j=0;j<n;j++){if(typeof pos[i][k]!="undefined"&&j==pos[i][k]){node.removeChild(node.firstChild);row.appendChild(AMcreateMmlNode("mtd",frag));k++;}else frag.appendChild(node.firstChild);} +row.appendChild(AMcreateMmlNode("mtd",frag));if(newFrag.childNodes.length>2){newFrag.removeChild(newFrag.firstChild);newFrag.removeChild(newFrag.firstChild);} +table.appendChild(AMcreateMmlNode("mtr",row));} return[table,str];} -if(typeof symbol.invisible!="boolean"||!symbol.invisible){node=createMmlNode("mo",document.createTextNode(symbol.output));newFrag.appendChild(node);}} +if(typeof symbol.invisible!="boolean"||!symbol.invisible){node=AMcreateMmlNode("mo",document.createTextNode(symbol.output));newFrag.appendChild(node);}} return[newFrag,str,tag];} -var tcnt=0,dcnt=0;function simpleLaTeXformatting(st){st=st.replace(/\$\$((.|\n)*?)\$\$/g,"<p align=\"center\">$\\displaystyle{$1}$</p>");st=st.replace(/\\begin{(theorem|lemma|proposition|corollary)}((.|\n)*?)\\end{\1}/g,function(r,s,t){tcnt++;return"<b>"+s.charAt(0).toUpperCase()+s.slice(1)+" "+tcnt+".</b> <i>"+t.replace(/^\s*<\/?\w+\/?>|\s*<\/?\w+\/?>$/g,"")+"</i>"});st=st.replace(/\\begin{(definition|example|remark|problem|exercise|conjecture|solution)}((.|\n)*?)\\end{\1}/g,function(r,s,t){dcnt++;return"<b>"+s.charAt(0).toUpperCase()+s.slice(1)+" "+dcnt+".</b> "+t.replace(/^\s*<\/?\w+\/?>|\s*<\/?\w+\/?>$/g,"")});st=st.replace(/\\begin{proof}((.|\n)*?)\\end{proof}/g,function(s,t){return"<i>Proof:</i> "+t.replace(/^\s*<\/?\w+\/?>|\s*<\/?\w+\/?>$/g,"")+" □"});st=st.replace(/\\emph{(.*?)}/g,"<em>$1</em>");st=st.replace(/\\textbf{(.*?)}/g,"<b>$1</b>");st=st.replace(/\\cite{(.*?)}/g,"[$1]");st=st.replace(/\\chapter{(.*?)}/g,"<h2>$1</h2>");st=st.replace(/\\section{(.*?)}(\s*<\/?(br|p)\s?\/?>)?/g,"<h3>$1</h3>");st=st.replace(/\\subsection{((.|\n)*?)}/g,"<h4>$1</h4>");st=st.replace(/\\begin{itemize}(\s*<\/?(br|p)\s?\/?>)?/g,"<ul>");st=st.replace(/\\item\s((.|\n)*?)(?=(\\item|\\end))/g,"<li>$1</li>");st=st.replace(/\\end{itemize}(\s*<\/?(br|p)\s?\/?>)?/g,"</ul>");st=st.replace(/\\begin{enumerate}(\s*<\/?(br|p)\s?\/?>)?/g,"<ol>");st=st.replace(/\\end{enumerate}(\s*<\/?(br|p)\s?\/?>)?/g,"</ol>");st=st.replace(/\\item\[(.*?)]{(.*?)}/g,"<dt>$1</dt><dd>$2</dd>");st=st.replace(/\\begin{description}/g,"<dl>");st=st.replace(/\\end{description}/g,"</dl>");st=st.replace(/\\newline\b/g,"<br/>");st=st.replace(/\\newpage\b/g,"<br style=\"page-break-after:always;\">");st=st.replace(/\\par\b/g,"<p> </p>");st=st.replace(/\\bigskip/g,"<p style=\"margin-bottom:0.5in\"> </p>");st=st.replace(/\\medskip/g,"<p style=\"margin-bottom:0.3in\"> </p>");st=st.replace(/\\smallskip/g,"<p style=\"margin-bottom:0.15in\"> </p>");st=st.replace(/\\begin{center}((.|\n)*?)\\end{center}/g,"<center>$1</center>");return st} -function ASCIIandgraphformatting(st){st=st.replace(/<sup>(.*?)<\/sup>(\s|(\S))/gi,"^{$1} $3");st=st.replace(/(Proof:)/g,"<i>$1</i>");st=st.replace(/QED/g," □");st=st.replace(/(\\?end{?a?math}?)/ig,"<span></span>$1");st=st.replace(/(\bamath\b|\\begin{a?math})/ig,"<span></span>$1");st=st.replace(/([>\n])(Theorem|Lemma|Proposition|Corollary|Definition|Example|Remark|Problem|Exercise|Conjecture|Solution)(:|\W\W?(\w|\s|-|\.)*?\W?:)/g,"$1<b>$2$3</b>");st=st.replace(/<embed\s+class\s?=\s?"?ASCIIsvg"?/gi,"<embed class=\"ASCIIsvg\" src=\""+dsvglocation+"d.svg\" wmode=\"transparent\"");st=st.replace(/(?:\\begin{a?graph}|\bagraph|\(:graph\s)((.|\n)*?)(?:\\end{a?graph}|enda?graph|:\))/g,function(s,t){return"<table><tr><td><div class=\"ASCIIsvg\"><embed class=\"ASCIIsvg\" src=\""+dsvglocation+"d.svg\" wmode=\"transparent\" script=\'"+t.replace(/<\/?(br|p|pre)\s?\/?>/gi,"\n")+"\'/></div></td></tr></table>"});st=st.replace(/insertASCIIMathCalculator/g,"<div class=\"ASCIIMathCalculator\"></div>");return st} -function LMprocessNode(n){var frag,st;try{st=n.innerHTML;}catch(err){} -var am=/amath\b|graph/i.test(st);if((st==null||st.indexOf("\$ ")!=-1||st.indexOf("\$<")!=-1||st.indexOf("\\begin")!=-1||am||st.slice(-1)=="$"||st.indexOf("\$\n")!=-1)&&!/edit-content|HTMLArea|wikiedit|wpTextbox1/.test(st)){if(!avoidinnerHTML&&translateLaTeXformatting) -st=simpleLaTeXformatting(st);if(st!=null&&am&&!avoidinnerHTML){st=ASCIIandgraphformatting(st);} -st=st.replace(/%7E/g,"~");if(!avoidinnerHTML)n.innerHTML=st;processNodeR(n,false,true);}} -var checkIfSVGavailable=true;var notifyIfNoSVG=true;var alertIfNoSVG=false;var noSVG=false;var defaultwidth=300;defaultheight=200;var defaultxmin=-5.5;defaultxmax=5.5;var defaultborder=0;border=defaultborder;var defaultstrokewidth="1";var defaultstroke="blue";var defaultstrokeopacity=1;var defaultstrokedasharray=null;var defaultfill="none";var defaultfillopacity=1;var defaultfontstyle="normal";var defaultfontfamily="times";var defaultfontsize="16";var defaultfontweight="normal";var defaultfontstroke="none";var defaultfontfill="none";var defaultmarker="none";var defaultendpoints="";var showcoordinates=true;var markerstrokewidth="1";var markerstroke="black";var markerfill="yellow";var markersize=4;var arrowfill=stroke;var dotradius=4;var ticklength=4;var axesstroke="black";var gridstroke="grey";var backgroundstyle="fill-opacity:0; fill:white";var singlelettersitalic=true;var picturepos=null;var xunitlength;var yunitlength;var origin=[0,0];var above="above";var below="below";var left="left";var right="right";var aboveleft="aboveleft";var aboveright="aboveright";var belowleft="belowleft";var belowright="belowright";var xmin,xmax,ymin,ymax,xscl,yscl,xgrid,ygrid,xtick,ytick,initialized;var strokewidth,strokedasharray,stroke,fill,strokeopacity,fillopacity;var fontstyle,fontfamily,fontsize,fontweight,fontstroke,fontfill;var marker,endpoints,dynamic={};var picture,svgpicture,doc,width,height;var isIE=document.createElementNS==null;var log=function(x){return ln(x)/ln(10)};var pi=Math.PI,e=Math.E,ln=Math.log,sqrt=Math.sqrt;var floor=Math.floor,ceil=Math.ceil,abs=Math.abs;var sin=Math.sin,cos=Math.cos,tan=Math.tan;var arcsin=Math.asin,arccos=Math.acos,arctan=Math.atan;var sec=function(x){return 1/Math.cos(x)};var csc=function(x){return 1/Math.sin(x)};var cot=function(x){return 1/Math.tan(x)};var arcsec=function(x){return arccos(1/x)};var arccsc=function(x){return arcsin(1/x)};var arccot=function(x){return arctan(1/x)};var sinh=function(x){return(Math.exp(x)-Math.exp(-x))/2};var cosh=function(x){return(Math.exp(x)+Math.exp(-x))/2};var tanh=function(x){return(Math.exp(x)-Math.exp(-x))/(Math.exp(x)+Math.exp(-x))};var sech=function(x){return 1/cosh(x)};var csch=function(x){return 1/sinh(x)};var coth=function(x){return 1/tanh(x)};var arcsinh=function(x){return ln(x+Math.sqrt(x*x+1))};var arccosh=function(x){return ln(x+Math.sqrt(x*x-1))};var arctanh=function(x){return ln((1+x)/(1-x))/2};var sech=function(x){return 1/cosh(x)};var csch=function(x){return 1/sinh(x)};var coth=function(x){return 1/tanh(x)};var arcsech=function(x){return arccosh(1/x)};var arccsch=function(x){return arcsinh(1/x)};var arccoth=function(x){return arctanh(1/x)};var sign=function(x){return(x==0?0:(x<0?-1:1))};function factorial(x,n){if(n==null)n=1;if(Math.abs(x-Math.round(x*1000000)/1000000)<1e-15) -x=Math.round(x*1000000)/1000000;if(x-Math.floor(x)!=0)return NaN;for(var i=x-n;i>0;i-=n)x*=i;return(x<0?NaN:(x==0?1:x));} -function C(x,k){var res=1;for(var i=0;i<k;i++)res*=(x-i)/(k-i);return res;} -function chop(x,n){if(n==null)n=0;return Math.floor(x*Math.pow(10,n))/Math.pow(10,n);} -function ran(a,b,n){if(n==null)n=0;return chop((b+Math.pow(10,-n)-a)*Math.random()+a,n);} -function myCreateElementSVG(t){if(isIE)return doc.createElement(t);else return doc.createElementNS("http://www.w3.org/2000/svg",t);} -function getElementsByClass(container,tagName,clsName){var list=new Array(0);var collection=container.getElementsByTagName(tagName);for(var i=0;i<collection.length;i++) -if(collection[i].className.slice(0,clsName.length)==clsName) -list[list.length]=collection[i];return list;} -function showobj(obj){var st="",i;for(i in obj) -st+=(obj.getAttribute(i)==null?"":" "+i+":"+obj.getAttribute(i));return st;} -function findPos(obj){var curleft=curtop=0;if(obj.offsetParent){curleft=obj.offsetLeft -curtop=obj.offsetTop -while(obj=obj.offsetParent){curleft+=obj.offsetLeft -curtop+=obj.offsetTop}} -return[curleft,curtop];} -function checkSVG(){if(navigator.appName.slice(0,8)=="Netscape") -if(window['SVGElement'])noSVG=null;else noSVG=true;else if(navigator.appName.slice(0,9)=="Microsoft") -try{var oSVG=eval("new ActiveXObject('Adobe.SVGCtl.3');");noSVG=null;}catch(e){noSVG=true;} -else if(navigator.appName.slice(0,5)=="Opera") -noSVG=null;else noSVG=true;if(noSVG&¬ifyIfNoSVG){var msg="To view the ASCIIsvg images use Internet Explorer + Adobe SVGviewer or Mozilla Firefox 2.0 or later." -if(alertIfNoSVG) -alert(msg);else return msg;}} -function setText(st,id){var node=document.getElementById(id);if(node!=null) -if(node.childNodes.length!=0)node.childNodes[0].nodeValue=st;else node.appendChild(document.createTextNode(st));} -function getX(evt){var svgroot=evt.target.parentNode;pos=findPos(svgroot.parentNode);return(evt.clientX+(isIE?0:window.pageXOffset)-pos[0]-svgroot.getAttribute("ox"))/parseFloat(svgroot.getAttribute("xunitlength"));} -function getY(evt){var svgroot=evt.target.parentNode;pos=findPos(svgroot.parentNode);return(svgroot.getAttribute("height")-svgroot.getAttribute("oy")-(evt.clientY+(isIE?0:window.pageYOffset)-pos[1]))/parseFloat(svgroot.getAttribute("yunitlength"));} -function translateandeval(src){var errstr;src=src.replace(/plot\(\x20*([^\"f\[][^\n\r;]+?)\,/g,"plot\(\"$1\",");src=src.replace(/plot\(\x20*([^\"f\[][^\n\r;]+)\)/g,"plot(\"$1\")");src=src.replace(/([=[(,]\x20*)\(([-a-z0-9./+*]+?),([-a-z0-9./+*]+?)\)/g,"$1[$2,$3]");src=src.replace(/([0-9])([a-df-zA-Z]|e^)/g,"$1*$2");src=src.replace(/\)([\(0-9a-zA-Z])/g,"\)*$1");try{with(Math)eval(src);}catch(err){if(err!="wait"){if(typeof err=="object") -errstr=err.name+" "+err.message+" "+err.number+" "+err.description;else errstr=err;alert(errstr+"\n"+src)}}} -var lastSlot=0;function drawPictures(){var src,id,dsvg,nd,node,ht,index,cols,arr,i,node2;var ASbody=document.getElementsByTagName("body")[0];pictures=getElementsByClass(ASbody,"embed","ASCIIsvg");var len=pictures.length;if(len==0)return;for(index=lastSlot;index<len+lastSlot;index++){width=null;height=null;xmin=null;xmax=null;ymin=null;ymax=null;xscl=null;xgrid=null;yscl=null;ygrid=null;initialized=false;picture=pictures[index-lastSlot];src=picture.getAttribute("script");if(src==null)src="";if(!/axes\b|initPicture/.test(src)){var i=0;while(/((yscl|ymax|ymin|xscl|xmax|xmin|\bwidth|\bheight)\s*=\s*-?\d*(\d\.|\.\d|\d)\d*\s*;?)/.test(src.slice(i)))i++;src=(i==0?"axes(); "+src:src.slice(0,i)+src.slice(i).replace(/((scl|max|min|idth|eight)\s*=\s*-?\d*(\d\.|\.\d|\d)\d*\s*;?)/,"$1\naxes();"));} -ht=picture.getAttribute("height");if(isIE){picture.setAttribute("wmode","transparent");} -if(document.getElementById("picture"+(index+1)+"mml")==null){picture.parentNode.style.position="relative";node=createElementXHTML("div");node.style.position="absolute";node.style.top="0px";node.style.left="0px";node.setAttribute("id","picture"+(index+1)+"mml");picture.parentNode.insertBefore(node,picture.nextSibling);} -if(ht==null)ht="";if(ht==""||src=="") -if(document.getElementById("picture"+(index+1)+"input")==null){node=createElementXHTML("textarea");arr=src.split("\n");cols=0;for(i=0;i<arr.length;i++)cols=Math.max(cols,arr[i].length);node.setAttribute("rows",Math.min(10,arr.length)+1);node.setAttribute("cols",Math.max(Math.min(60,cols),20)+5);if(isIE)src=src.replace(/([^\r])\n/g,"$1\r");node.appendChild(document.createTextNode(src));if(src.indexOf("showcode()")==-1)node.style.display="none";node.setAttribute("id","picture"+(index+1)+"input");picture.parentNode.insertBefore(node,picture.nextSibling);picture.parentNode.insertBefore(createElementXHTML("br"),node);node2=createElementXHTML("button");node2.setAttribute("id","picture"+(index+1)+"button");if(isIE)node2.onclick=function(){updatePicture(this)};else node2.setAttribute("onclick","updatePicture(this)");node2.appendChild(document.createTextNode("Update"));if(src.indexOf("showcode()")==-1)node2.style.display="none";picture.parentNode.insertBefore(node2,node);picture.parentNode.insertBefore(createElementXHTML("br"),node);}else src=document.getElementById("picture"+(index+1)+"input").value;id=picture.getAttribute("id");dsvg=picture.getAttribute("src");if(id==null||id==""){id="picture"+(index+1);picture.setAttribute("id",id);} -translateandeval(src);} -lastSlot+=len;} -function setdefaults(){strokewidth=defaultstrokewidth;stroke=defaultstroke;strokeopacity=defaultstrokeopacity;strokedasharray=defaultstrokedasharray;fill=defaultfill;fillopacity=defaultfillopacity;fontstyle=defaultfontstyle;fontfamily=defaultfontfamily;fontsize=defaultfontsize;fontweight=defaultfontweight;fontstroke=defaultfontstroke;fontfill=defaultfontfill;marker=defaultmarker;endpoints=defaultendpoints;} -function switchTo(id){if(id==undefined)return;var name=id;if(typeof name!="string")name=id.target.parentNode.getAttribute("name");picture=document.getElementById(name);width=picture.getAttribute("width")-0;height=picture.getAttribute("height")-0;setdefaults();if((picture.nodeName=="EMBED"||picture.nodeName=="embed")&&isIE){svgpicture=picture.getSVGDocument().getElementById("root");doc=picture.getSVGDocument();}else{svgpicture=picture;doc=document;} -xunitlength=parseFloat(svgpicture.getAttribute("xunitlength"));yunitlength=parseFloat(svgpicture.getAttribute("yunitlength"));xmin=parseFloat(svgpicture.getAttribute("xmin"));xmax=parseFloat(svgpicture.getAttribute("xmax"));ymin=parseFloat(svgpicture.getAttribute("ymin"));ymax=parseFloat(svgpicture.getAttribute("ymax"));origin=[svgpicture.getAttribute("ox")-0,svgpicture.getAttribute("oy")-0];} -function updatePicture(obj){var node,src,id,top,left;if(typeof obj=="object")id=obj.id.slice(0,-6);else id=(typeof obj=="string"?obj:"picture"+(obj+1));src=document.getElementById(id+"input").value;xmin=null;xmax=null;ymin=null;ymax=null;xscl=null;xgrid=null;yscl=null;ygrid=null;initialized=false;picture=document.getElementById(id);translateandeval(src)} -function changepicturesize(evt,factor){var obj=evt.target;var name=obj.parentNode.getAttribute("name");var pic=document.getElementById(name);var src=document.getElementById(name+"input").value;if(!/height/.test(src))src="height=0; "+src;if(!/width/.test(src))src="width=0; "+src;src=src.replace(/width\s*=\s*\d+/,"width="+(factor*(pic.getAttribute("width")-0)));src=src.replace(/height\s*=\s*\d+/,"height="+(factor*(pic.getAttribute("height")-0)));document.getElementById(name+"input").value=src;updatePicture(name);} -function zoom(evt,factor){switchTo(evt);var obj=evt.target;var name=obj.parentNode.getAttribute("name");var pic=document.getElementById(name);var src=document.getElementById(name+"input").value;var xlen=(xmax-xmin)/2;var ylen=(ymax-ymin)/2;var xcen=getX(evt),ycen=getY(evt);if(!/ymax/.test(src))src="ymax=0; "+src;if(!/ymin/.test(src))src="ymin=0; "+src;if(!/xmax/.test(src))src="xmax=0; "+src;if(!/xmin/.test(src))src="xmin=0; "+src;src=src.replace(/xmin\s*=\s*[-\d.e]+/,"xmin="+(xcen-factor*xlen));src=src.replace(/xmax\s*=\s*[-\d.e]+/,"xmax="+(xcen+factor*xlen));src=src.replace(/ymin\s*=\s*[-\d.e]+/,"ymin="+(ycen-factor*ylen));src=src.replace(/ymax\s*=\s*[-\d.e]+/,"ymax="+(ycen+factor*ylen));document.getElementById(name+"input").value=src;updatePicture(name);} -var sinceFirstClick=0;var dblClkTimer;function timer(){if(sinceFirstClick<60){sinceFirstClick++;setTimeout("timer()",10);}else{clearTimeout(dblClkTimer);dblClkTimer="";}} -function mClick(evt){if(sinceFirstClick!=0){if(sinceFirstClick<=40){if(evt.shiftKey){if(evt.altKey)changepicturesize(evt,2);else zoom(evt,.5);}else if(evt.altKey)zoom(evt,2);else showHideCode(evt);clearTimeout(dblClkTimer);dblClkTimer="";}else{clearTimeout(dblClkTimer);sinceFirstClick=0;dblClkTimer=setTimeout("timer()",10);}}else{sinceFirstClick=0;dblClkTimer=setTimeout("timer()",10);}} -function showHideCode(evt){var obj=evt.target;var name=obj.parentNode.getAttribute("name");var node=document.getElementById(name+"input");node.style.display=(node.style.display=="none"?"":"none");var node=document.getElementById(name+"button");node.style.display=(node.style.display=="none"?"":"none");} -function showcode(){} -function setBorder(x){border=x} -function initPicture(x_min,x_max,y_min,y_max){if(!initialized){setdefaults();initialized=true;if(x_min!=null)xmin=x_min;if(x_max!=null)xmax=x_max;if(y_min!=null)ymin=y_min;if(y_max!=null)ymax=y_max;if(xmin==null)xmin=defaultxmin;if(xmax==null)xmax=defaultxmax;if(typeof xmin!="number"||typeof xmax!="number"||xmin>=xmax) -alert("Picture requires at least two numbers: xmin < xmax");else if(y_max!=null&&(typeof y_min!="number"||typeof y_max!="number"||y_min>=y_max)) -alert("initPicture(xmin,xmax,ymin,ymax) requires numbers ymin < ymax");else{if(width==null){width=picture.getAttribute("width");if(width==null||width=="")width=defaultwidth;} -picture.setAttribute("width",width);if(height==null){height=picture.getAttribute("height");if(height==null||height=="")height=defaultheight;} -picture.setAttribute("height",height);xunitlength=(width-2*border)/(xmax-xmin);yunitlength=xunitlength;if(ymin==null){origin=[-xmin*xunitlength+border,height/2];ymin=-(height-2*border)/(2*yunitlength);ymax=-ymin;}else{if(ymax!=null)yunitlength=(height-2*border)/(ymax-ymin);else ymax=(height-2*border)/yunitlength+ymin;origin=[-xmin*xunitlength+border,-ymin*yunitlength+border];} -if(isIE){if(picture.FULLSCREEN==undefined){setTimeout('drawPictures()',50);throw"wait";} -svgpicture=picture.getSVGDocument().getElementById("root");if(svgpicture==null){setTimeout('drawPictures()',50);throw"wait";} -svgpicture=picture.getSVGDocument().getElementById("root");while(svgpicture.childNodes.length>0) -svgpicture.removeChild(svgpicture.lastChild);svgpicture.setAttribute("width",width);svgpicture.setAttribute("height",height);svgpicture.setAttribute("name",picture.getAttribute("id"));doc=picture.getSVGDocument();}else{var qnode=document.createElementNS("http://www.w3.org/2000/svg","svg");qnode.setAttribute("id",picture.getAttribute("id"));qnode.setAttribute("name",picture.getAttribute("id"));qnode.setAttribute("width",picture.getAttribute("width"));qnode.setAttribute("height",picture.getAttribute("height"));picturepos=findPos(picture);if(picture.parentNode!=null){picture.parentNode.replaceChild(qnode,picture);}else{svgpicture.parentNode.replaceChild(qnode,svgpicture);} -svgpicture=qnode;doc=document;} -var nd=document.getElementById(picture.getAttribute("id")+"mml");if(nd!=null) -while(nd.childNodes.length>0)nd.removeChild(nd.lastChild);svgpicture.setAttribute("xunitlength",xunitlength);svgpicture.setAttribute("yunitlength",yunitlength);svgpicture.setAttribute("xmin",xmin);svgpicture.setAttribute("xmax",xmax);svgpicture.setAttribute("ymin",ymin);svgpicture.setAttribute("ymax",ymax);svgpicture.setAttribute("ox",origin[0]);svgpicture.setAttribute("oy",origin[1]);var node=myCreateElementSVG("rect");node.setAttribute("x","0");node.setAttribute("y","0");node.setAttribute("width",width);node.setAttribute("height",height);node.setAttribute("style",backgroundstyle);svgpicture.appendChild(node);svgpicture.setAttribute("onmousemove","displayCoord(evt)");svgpicture.setAttribute("onmouseout","removeCoord(evt)");svgpicture.setAttribute("onclick","mClick(evt)");node=myCreateElementSVG("text");node.appendChild(doc.createTextNode(" "));node.setAttribute("id","coords");svgpicture.appendChild(node);node=myCreateElementSVG("text");node.appendChild(doc.createTextNode(" "));node.setAttribute("id","coords");svgpicture.appendChild(node);border=defaultborder;}}} -function line(p,q,id,endpts){var node;if(id!=null)node=doc.getElementById(id);if(node==null){node=myCreateElementSVG("path");node.setAttribute("id",id);svgpicture.appendChild(node);} -node.setAttribute("d","M"+(p[0]*xunitlength+origin[0])+","+ -(height-p[1]*yunitlength-origin[1])+" "+ -(q[0]*xunitlength+origin[0])+","+(height-q[1]*yunitlength-origin[1]));node.setAttribute("stroke-width",strokewidth);if(strokedasharray!=null) -node.setAttribute("stroke-dasharray",strokedasharray);node.setAttribute("stroke",stroke);node.setAttribute("fill",fill);node.setAttribute("stroke-opacity",strokeopacity);node.setAttribute("fill-opacity",fillopacity);if(marker=="dot"||marker=="arrowdot"){ASdot(p,markersize,markerstroke,markerfill);if(marker=="arrowdot")arrowhead(p,q);ASdot(q,markersize,markerstroke,markerfill);}else if(marker=="arrow")arrowhead(p,q);if(endpts==null&&endpoints!="")endpts=endpoints;if(endpts!=null){if(endpts.indexOf("<-")!=-1)arrowhead(q,p);if(endpts.indexOf("o-")!=-1)dot(p,"open");if(endpts.indexOf("*-")!=-1)dot(p,"closed");if(endpts.indexOf("->")!=-1)arrowhead(p,q);if(endpts.indexOf("-o")!=-1)dot(q,"open");if(endpts.indexOf("-*")!=-1)dot(q,"closed");}} -function path(plist,id,c,endpts){if(c==null)c="";var node,st,i;if(id!=null)node=doc.getElementById(id);if(node==null){node=myCreateElementSVG("path");node.setAttribute("id",id);svgpicture.appendChild(node);} -if(typeof plist=="string")st=plist;else{st="M";st+=(plist[0][0]*xunitlength+origin[0])+","+ -(height-plist[0][1]*yunitlength-origin[1])+" "+c;for(i=1;i<plist.length;i++) -st+=(plist[i][0]*xunitlength+origin[0])+","+ -(height-plist[i][1]*yunitlength-origin[1])+" ";} -node.setAttribute("d",st);node.setAttribute("stroke-width",strokewidth);if(strokedasharray!=null) -node.setAttribute("stroke-dasharray",strokedasharray);node.setAttribute("stroke",stroke);node.setAttribute("fill",fill);node.setAttribute("stroke-opacity",strokeopacity);node.setAttribute("fill-opacity",fillopacity);if(marker=="dot"||marker=="arrowdot") -for(i=0;i<plist.length;i++) -if(c!="C"&&c!="T"||i!=1&&i!=2) -ASdot(plist[i],markersize,markerstroke,markerfill);if(endpts==null&&endpoints!="")endpts=endpoints;if(endpts!=null){if(endpts.indexOf("<-")!=-1)arrowhead(plist[1],plist[0]);if(endpts.indexOf("o-")!=-1)dot(plist[0],"open");if(endpts.indexOf("*-")!=-1)dot(plist[0],"closed");if(endpts.indexOf("->")!=-1)arrowhead(plist[plist.length-2],plist[plist.length-1]);if(endpts.indexOf("-o")!=-1)dot(plist[plist.length-1],"open");if(endpts.indexOf("-*")!=-1)dot(plist[plist.length-1],"closed");}} -function curve(plist,id,endpts){path(plist,id,"T",endpts);} -function vector(p,q,id){line(p,q,id,"","->");} -function circle(center,radius,id){var node;if(id!=null)node=doc.getElementById(id);if(node==null){node=myCreateElementSVG("circle");node.setAttribute("id",id);svgpicture.appendChild(node);} -node.setAttribute("cx",center[0]*xunitlength+origin[0]);node.setAttribute("cy",height-center[1]*yunitlength-origin[1]);node.setAttribute("r",radius*xunitlength);node.setAttribute("stroke-width",strokewidth);node.setAttribute("stroke",stroke);node.setAttribute("fill",fill);node.setAttribute("stroke-opacity",strokeopacity);node.setAttribute("fill-opacity",fillopacity);} -function loop(p,d,id){if(d==null)d=[1,0];path([p,[p[0]+d[0],p[1]+d[1]],[p[0]-d[1],p[1]+d[0]],p],id,"C");if(marker=="arrow"||marker=="arrowdot") -arrowhead([p[0]+Math.cos(1.4)*d[0]-Math.sin(1.4)*d[1],p[1]+Math.sin(1.4)*d[0]+Math.cos(1.4)*d[1]],p);} -function arc(start,end,radius,id,largearc){var node,v;if(id!=null)node=doc.getElementById(id);if(largearc==null)largearc=0;if(radius==null){v=[end[0]-start[0],end[1]-start[1]];radius=Math.sqrt(v[0]*v[0]+v[1]*v[1]);} -if(node==null){node=myCreateElementSVG("path");node.setAttribute("id",id);svgpicture.appendChild(node);} -node.setAttribute("d","M"+(start[0]*xunitlength+origin[0])+","+ -(height-start[1]*yunitlength-origin[1])+" A"+radius*xunitlength+","+ -radius*yunitlength+" 0 "+largearc+",0 "+(end[0]*xunitlength+origin[0])+","+ -(height-end[1]*yunitlength-origin[1]));node.setAttribute("stroke-width",strokewidth);node.setAttribute("stroke",stroke);node.setAttribute("fill",fill);node.setAttribute("stroke-opacity",strokeopacity);node.setAttribute("fill-opacity",fillopacity);if(marker=="arrow"||marker=="arrowdot"){u=[(end[1]-start[1])/4,(start[0]-end[0])/4];v=[(end[0]-start[0])/2,(end[1]-start[1])/2];v=[start[0]+v[0]+u[0],start[1]+v[1]+u[1]];}else v=[start[0],start[1]];if(marker=="dot"||marker=="arrowdot"){ASdot(start,markersize,markerstroke,markerfill);if(marker=="arrowdot")arrowhead(v,end);ASdot(end,markersize,markerstroke,markerfill);}else if(marker=="arrow")arrowhead(v,end);} -function sector(center,start,end,id){var rx=start[0]-center[0],ry=start[1]-center[1];arc(start,end,Math.sqrt(rx*rx+ry*ry),id+"arc");path([end,center,start],id+"path");} -function ellipse(center,rx,ry,id){var node;if(id!=null)node=doc.getElementById(id);if(node==null){node=myCreateElementSVG("ellipse");node.setAttribute("id",id);svgpicture.appendChild(node);} -node.setAttribute("cx",center[0]*xunitlength+origin[0]);node.setAttribute("cy",height-center[1]*yunitlength-origin[1]);node.setAttribute("rx",rx*xunitlength);node.setAttribute("ry",ry*yunitlength);node.setAttribute("stroke-width",strokewidth);node.setAttribute("stroke",stroke);node.setAttribute("fill",fill);node.setAttribute("stroke-opacity",strokeopacity);node.setAttribute("fill-opacity",fillopacity);} -function triangle(p,q,r,id){path([p,q,r,p],id)} -function rect(p,q,id,rx,ry){var node;if(id!=null)node=doc.getElementById(id);if(node==null){node=myCreateElementSVG("rect");node.setAttribute("id",id);svgpicture.appendChild(node);} -node.setAttribute("x",p[0]*xunitlength+origin[0]);node.setAttribute("y",height-q[1]*yunitlength-origin[1]);node.setAttribute("width",(q[0]-p[0])*xunitlength);node.setAttribute("height",(q[1]-p[1])*yunitlength);if(rx!=null)node.setAttribute("rx",rx*xunitlength);if(ry!=null)node.setAttribute("ry",ry*yunitlength);node.setAttribute("stroke-width",strokewidth);node.setAttribute("stroke",stroke);node.setAttribute("fill",fill);node.setAttribute("stroke-opacity",strokeopacity);node.setAttribute("fill-opacity",fillopacity);} -function text(p,st,pos,id,fontsty){var dnode,node,dx=0,dy=fontsize/3,str=st.toString();if(/(`|\$)/.test(str)){dnode=document.getElementById(svgpicture.getAttribute("name")+"mml");if(dnode!=null){if(id!=null)node=document.getElementById(id);if(node==null){node=createElementXHTML("div");node.setAttribute("id",id);node.style.position="absolute";dnode.appendChild(node);} -while(node.childNodes.length>0)node.removeChild(node.lastChild);node.appendChild(document.createTextNode(str));if(/`/.test(str))AMprocessNode(node);else LMprocessNode(node);dx=-node.offsetWidth/2;dy=-node.offsetHeight/2;if(pos!=null){if(/above/.test(pos))dy=-node.offsetHeight;if(/below/.test(pos))dy=0;if(/right/.test(pos))dx=0;if(/left/.test(pos))dx=-node.offsetWidth;} -node.style.left=""+(p[0]*xunitlength+origin[0]+dx)+"px";node.style.top=""+(height-p[1]*yunitlength-origin[1]+dy)+"px";} -return p;} -var textanchor="middle";if(pos!=null){if(/above/.test(pos))dy=-fontsize/2;if(/below/.test(pos))dy=fontsize-0;if(/right/.test(pos)){textanchor="start";dx=fontsize/4;} -if(/left/.test(pos)){textanchor="end";dx=-fontsize/4;}} -if(id!=null)node=doc.getElementById(id);if(node==null){node=myCreateElementSVG("text");node.setAttribute("id",id);svgpicture.appendChild(node);node.appendChild(doc.createTextNode(str));} -while(node.childNodes.length>1)node.removeChild(node.lastChild);node.lastChild.nodeValue="\xA0"+str+"\xA0";node.setAttribute("x",p[0]*xunitlength+origin[0]+dx);node.setAttribute("y",height-p[1]*yunitlength-origin[1]+dy);node.setAttribute("font-style",(fontsty!=null?fontsty:(str.search(/^[a-zA-Z]$/)!=-1?"italic":fontstyle)));node.setAttribute("font-family",fontfamily);node.setAttribute("font-size",fontsize);node.setAttribute("font-weight",fontweight);node.setAttribute("text-anchor",textanchor);if(fontstroke!="none")node.setAttribute("stroke",fontstroke);if(fontfill!="none")node.setAttribute("fill",fontfill);return p;} -function mtext(p,st,pos,fontsty,fontsz){var textanchor="middle";var dx=0;var dy=fontsize/3;if(pos!=null){if(pos.slice(0,5)=="above")dy=-fontsize/2;if(pos.slice(0,5)=="below")dy=fontsize-0;if(pos.slice(0,5)=="right"||pos.slice(5,10)=="right"){textanchor="start";dx=fontsize/2;} -if(pos.slice(0,4)=="left"||pos.slice(5,9)=="left"){textanchor="end";dx=-fontsize/2;}} -var node=this;if(this.nodeName=="svg"){node=myCreateElementSVG("text");this.appendChild(node);node.appendChild(doc.createTextNode(st));} -node.lastChild.nodeValue=st;node.setAttribute("x",p[0]+dx);node.setAttribute("y",p[1]+dy);node.setAttribute("font-style",(fontsty!=null?fontsty:fontstyle));node.setAttribute("font-family",fontfamily);node.setAttribute("font-size",(fontsz!=null?fontsz:fontsize));node.setAttribute("font-weight",fontweight);node.setAttribute("text-anchor",textanchor);if(fontstroke!="none")node.setAttribute("stroke",fontstroke);if(fontfill!="none")node.setAttribute("fill",fontfill);} -function image(imgurl,p,w,h,id){var node;if(id!=null)node=doc.getElementById(id);if(node==null){node=myCreateElementSVG("image");node.setAttribute("id",id);svgpicture.appendChild(node);} -node.setAttribute("x",p[0]*xunitlength+origin[0]);node.setAttribute("y",height-p[1]*yunitlength-origin[1]);node.setAttribute("width",w);node.setAttribute("height",h);node.setAttribute("xlink:href",imgurl);} -function ASdot(center,radius,s,f){if(s==null)s=stroke;if(f==null)f=fill;var node=myCreateElementSVG("circle");node.setAttribute("cx",center[0]*xunitlength+origin[0]);node.setAttribute("cy",height-center[1]*yunitlength-origin[1]);node.setAttribute("r",radius);node.setAttribute("stroke-width",strokewidth);node.setAttribute("stroke",s);node.setAttribute("fill",f);svgpicture.appendChild(node);} -function dot(center,typ,label,pos,id){var node;var cx=center[0]*xunitlength+origin[0];var cy=height-center[1]*yunitlength-origin[1];if(id!=null)node=doc.getElementById(id);if(typ=="+"||typ=="-"||typ=="|"){if(node==null){node=myCreateElementSVG("path");node.setAttribute("id",id);svgpicture.appendChild(node);} -if(typ=="+"){node.setAttribute("d"," M "+(cx-ticklength)+" "+cy+" L "+(cx+ticklength)+" "+cy+" M "+cx+" "+(cy-ticklength)+" L "+cx+" "+(cy+ticklength));node.setAttribute("stroke-width",.5);node.setAttribute("stroke",axesstroke);}else{if(typ=="-")node.setAttribute("d"," M "+(cx-ticklength)+" "+cy+" L "+(cx+ticklength)+" "+cy);else node.setAttribute("d"," M "+cx+" "+(cy-ticklength)+" L "+cx+" "+(cy+ticklength));node.setAttribute("stroke-width",strokewidth);node.setAttribute("stroke",stroke);}}else{if(node==null){node=myCreateElementSVG("circle");node.setAttribute("id",id);svgpicture.appendChild(node);} -node.setAttribute("cx",cx);node.setAttribute("cy",cy);node.setAttribute("r",dotradius);node.setAttribute("stroke-width",strokewidth);node.setAttribute("stroke",stroke);node.setAttribute("fill",(typ=="open"?"white":(typ=="closed"?stroke:markerfill)));} -if(label!=null) -text(center,label,(pos==null?"below":pos),(id==null?id:id+"label"))} -point=dot;function arrowhead(p,q){var up;var v=[p[0]*xunitlength+origin[0],height-p[1]*yunitlength-origin[1]];var w=[q[0]*xunitlength+origin[0],height-q[1]*yunitlength-origin[1]];var u=[w[0]-v[0],w[1]-v[1]];var d=Math.sqrt(u[0]*u[0]+u[1]*u[1]);if(d>0.00000001){u=[u[0]/d,u[1]/d];up=[-u[1],u[0]];var node=myCreateElementSVG("path");node.setAttribute("d","M "+(w[0]-15*u[0]-4*up[0])+" "+ -(w[1]-15*u[1]-4*up[1])+" L "+(w[0]-3*u[0])+" "+(w[1]-3*u[1])+" L "+ -(w[0]-15*u[0]+4*up[0])+" "+(w[1]-15*u[1]+4*up[1])+" z");node.setAttribute("stroke-width",markerstrokewidth);node.setAttribute("stroke",stroke);node.setAttribute("fill",stroke);node.setAttribute("stroke-opacity",strokeopacity);node.setAttribute("fill-opacity",fillopacity);svgpicture.appendChild(node);}} -function chopZ(st){var k=st.indexOf(".");if(k==-1)return st;for(var i=st.length-1;i>k&&st.charAt(i)=="0";i--);if(i==k)i--;return st.slice(0,i+1);} -function grid(dx,dy){axes(dx,dy,null,dx,dy)} -function noaxes(){if(!initialized)initPicture();} -function axes(dx,dy,labels,gdx,gdy){var x,y,ldx,ldy,lx,ly,lxp,lyp,pnode,st;if(!initialized)initPicture();if(typeof dx=="string"){labels=dx;dx=null;} -if(typeof dy=="string"){gdx=dy;dy=null;} -if(xscl!=null){dx=xscl;gdx=xscl;labels=dx} -if(yscl!=null){dy=yscl;gdy=yscl} -if(xtick!=null){dx=xtick} -if(ytick!=null){dy=ytick} -dx=(dx==null?xunitlength:dx*xunitlength);dy=(dy==null?dx:dy*yunitlength);fontsize=Math.min(dx/2,dy/2,16);ticklength=fontsize/4;if(xgrid!=null)gdx=xgrid;if(ygrid!=null)gdy=ygrid;if(gdx!=null){gdx=(typeof gdx=="string"?dx:gdx*xunitlength);gdy=(gdy==null?dy:gdy*yunitlength);pnode=myCreateElementSVG("path");st="";for(x=origin[0];x<width;x=x+gdx) -st+=" M"+x+",0"+" "+x+","+height;for(x=origin[0]-gdx;x>0;x=x-gdx) -st+=" M"+x+",0"+" "+x+","+height;for(y=height-origin[1];y<height;y=y+gdy) -st+=" M0,"+y+" "+width+","+y;for(y=height-origin[1]-gdy;y>0;y=y-gdy) -st+=" M0,"+y+" "+width+","+y;pnode.setAttribute("d",st);pnode.setAttribute("stroke-width",.5);pnode.setAttribute("stroke",gridstroke);pnode.setAttribute("fill",fill);svgpicture.appendChild(pnode);} -pnode=myCreateElementSVG("path");st="M0,"+(height-origin[1])+" "+width+","+ -(height-origin[1])+" M"+origin[0]+",0 "+origin[0]+","+height;for(x=origin[0]+dx;x<width;x=x+dx) -st+=" M"+x+","+(height-origin[1]+ticklength)+" "+x+","+ -(height-origin[1]-ticklength);for(x=origin[0]-dx;x>0;x=x-dx) -st+=" M"+x+","+(height-origin[1]+ticklength)+" "+x+","+ -(height-origin[1]-ticklength);for(y=height-origin[1]+dy;y<height;y=y+dy) -st+=" M"+(origin[0]+ticklength)+","+y+" "+(origin[0]-ticklength)+","+y;for(y=height-origin[1]-dy;y>0;y=y-dy) -st+=" M"+(origin[0]+ticklength)+","+y+" "+(origin[0]-ticklength)+","+y;if(labels!=null)with(Math){ldx=dx/xunitlength;ldy=dy/yunitlength;lx=(xmin>0||xmax<0?xmin:0);ly=(ymin>0||ymax<0?ymin:0);lxp=(ly==0?"below":"above");lyp=(lx==0?"left":"right");var ddx=floor(1.1-log(ldx)/log(10))+1;var ddy=floor(1.1-log(ldy)/log(10))+1;for(x=ldx;x<=xmax;x=x+ldx) -text([x,ly],chopZ(x.toFixed(ddx)),lxp);for(x=-ldx;xmin<=x;x=x-ldx) -text([x,ly],chopZ(x.toFixed(ddx)),lxp);for(y=ldy;y<=ymax;y=y+ldy) -text([lx,y],chopZ(y.toFixed(ddy)),lyp);for(y=-ldy;ymin<=y;y=y-ldy) -text([lx,y],chopZ(y.toFixed(ddy)),lyp);} -fontsize=defaultfontsize;pnode.setAttribute("d",st);pnode.setAttribute("stroke-width",.5);pnode.setAttribute("stroke",axesstroke);pnode.setAttribute("fill",fill);pnode.setAttribute("stroke-opacity",strokeopacity);pnode.setAttribute("fill-opacity",fillopacity);svgpicture.appendChild(pnode);} -function mathjs(st){st=st.replace(/\s/g,"");if(st.indexOf("^-1")!=-1){st=st.replace(/sin\^-1/g,"arcsin");st=st.replace(/cos\^-1/g,"arccos");st=st.replace(/tan\^-1/g,"arctan");st=st.replace(/sec\^-1/g,"arcsec");st=st.replace(/csc\^-1/g,"arccsc");st=st.replace(/cot\^-1/g,"arccot");st=st.replace(/sinh\^-1/g,"arcsinh");st=st.replace(/cosh\^-1/g,"arccosh");st=st.replace(/tanh\^-1/g,"arctanh");st=st.replace(/sech\^-1/g,"arcsech");st=st.replace(/csch\^-1/g,"arccsch");st=st.replace(/coth\^-1/g,"arccoth");} -st=st.replace(/^e$/g,"(Math.E)");st=st.replace(/^e([^a-zA-Z])/g,"(Math.E)$1");st=st.replace(/([^a-zA-Z])e/g,"$1(Math.E)");st=st.replace(/([0-9])([\(a-zA-Z])/g,"$1*$2");st=st.replace(/\)([\(0-9a-zA-Z])/g,"\)*$1");var i,j,k,ch,nested;while((i=st.indexOf("^"))!=-1){if(i==0)return"Error: missing argument";j=i-1;ch=st.charAt(j);if(ch>="0"&&ch<="9"){j--;while(j>=0&&(ch=st.charAt(j))>="0"&&ch<="9")j--;if(ch=="."){j--;while(j>=0&&(ch=st.charAt(j))>="0"&&ch<="9")j--;}}else if(ch==")"){nested=1;j--;while(j>=0&&nested>0){ch=st.charAt(j);if(ch=="(")nested--;else if(ch==")")nested++;j--;} -while(j>=0&&(ch=st.charAt(j))>="a"&&ch<="z"||ch>="A"&&ch<="Z") -j--;}else if(ch>="a"&&ch<="z"||ch>="A"&&ch<="Z"){j--;while(j>=0&&(ch=st.charAt(j))>="a"&&ch<="z"||ch>="A"&&ch<="Z") -j--;}else{return"Error: incorrect syntax in "+st+" at position "+j;} -if(i==st.length-1)return"Error: missing argument";k=i+1;ch=st.charAt(k);if(ch>="0"&&ch<="9"||ch=="-"){k++;while(k<st.length&&(ch=st.charAt(k))>="0"&&ch<="9")k++;if(ch=="."){k++;while(k<st.length&&(ch=st.charAt(k))>="0"&&ch<="9")k++;}}else if(ch=="("){nested=1;k++;while(k<st.length&&nested>0){ch=st.charAt(k);if(ch=="(")nested++;else if(ch==")")nested--;k++;}}else if(ch>="a"&&ch<="z"||ch>="A"&&ch<="Z"){k++;while(k<st.length&&(ch=st.charAt(k))>="a"&&ch<="z"||ch>="A"&&ch<="Z")k++;}else{return"Error: incorrect syntax in "+st+" at position "+k;} -st=st.slice(0,j+1)+"Math.pow("+st.slice(j+1,i)+","+st.slice(i+1,k)+")"+ -st.slice(k);} -while((i=st.indexOf("!"))!=-1){if(i==0)return"Error: missing argument";j=i-1;ch=st.charAt(j);if(ch>="0"&&ch<="9"){j--;while(j>=0&&(ch=st.charAt(j))>="0"&&ch<="9")j--;if(ch=="."){j--;while(j>=0&&(ch=st.charAt(j))>="0"&&ch<="9")j--;}}else if(ch==")"){nested=1;j--;while(j>=0&&nested>0){ch=st.charAt(j);if(ch=="(")nested--;else if(ch==")")nested++;j--;} -while(j>=0&&(ch=st.charAt(j))>="a"&&ch<="z"||ch>="A"&&ch<="Z") -j--;}else if(ch>="a"&&ch<="z"||ch>="A"&&ch<="Z"){j--;while(j>=0&&(ch=st.charAt(j))>="a"&&ch<="z"||ch>="A"&&ch<="Z") -j--;}else{return"Error: incorrect syntax in "+st+" at position "+j;} -st=st.slice(0,j+1)+"factorial("+st.slice(j+1,i)+")"+st.slice(i+1);} -return st;} -function plot(fun,x_min,x_max,points,id,endpts){var pth=[];var f=function(x){return x},g=fun;var name=null;if(typeof fun=="string") -eval("g = function(x){ with(Math) return "+mathjs(fun)+" }");else if(typeof fun=="object"){eval("f = function(t){ with(Math) return "+mathjs(fun[0])+" }");eval("g = function(t){ with(Math) return "+mathjs(fun[1])+" }");} -if(typeof x_min=="string"){name=x_min;x_min=xmin} -else name=id;var min=(x_min==null?xmin:x_min);var max=(x_max==null?xmax:x_max);var inc=max-min-0.000001*(max-min);inc=(points==null?inc/200:inc/points);var gt;for(var t=min;t<=max;t+=inc){gt=g(t);if(!(isNaN(gt)||Math.abs(gt)=="Infinity"))pth[pth.length]=[f(t),gt];} -path(pth,name,null,endpts);return pth;} -function slopefield(fun,dx,dy){var g=fun;if(typeof fun=="string") -eval("g = function(x,y){ with(Math) return "+mathjs(fun)+" }");var gxy,x,y,u,v,dz;if(dx==null)dx=1;if(dy==null)dy=1;dz=Math.sqrt(dx*dx+dy*dy)/6;var x_min=Math.ceil(xmin/dx);var y_min=Math.ceil(ymin/dy);for(x=x_min;x<=xmax;x+=dx) -for(y=y_min;y<=ymax;y+=dy){gxy=g(x,y);if(!isNaN(gxy)){if(Math.abs(gxy)=="Infinity"){u=0;v=dz;} -else{u=dz/Math.sqrt(1+gxy*gxy);v=gxy*u;} -line([x-u,y-v],[x+u,y+v]);}}} -function show_props(obj){var result="";for(var i=0;i<obj.childNodes.length;i++) -result+=obj.childNodes.item(i)+"\n";return result;} -function displayCoord(evt){if(showcoordinates){var svgroot=evt.target.parentNode;var nl=svgroot.childNodes;for(var i=0;i<nl.length&&nl.item(i).nodeName!="text";i++);var cnode=nl.item(i);cnode.mtext=mtext;cnode.mtext([svgroot.getAttribute("width")-(-7),svgroot.getAttribute("height")-7],"("+getX(evt).toFixed(2)+", "+getY(evt).toFixed(2)+")","left","","11");}} -function removeCoord(evt){var svgroot=evt.target.parentNode;var nl=svgroot.childNodes;for(var i=0;i<nl.length&&nl.item(i).nodeName!="text";i++);var cnode=nl.item(i);cnode.mtext=mtext;cnode.mtext([svgroot.getAttribute("width")-0,svgroot.getAttribute("height")-0],"","aboveleft","");} -function initASCIIMathCalculators(li){var i;for(i=0;i<li.length;i++){li[i].innerHTML=calcstr;AMprocessNode(li[i]);} -li=document.getElementsByTagName("textarea");var st;for(i=0;i<li.length;i++){st=li[i].getAttribute("onkeyup");if(st!=null)eval(String(st).replace(/function anonymous\(\)/,""));}} -function calculate(inputId,outputId){var str=document.getElementById(inputId).value;var err="";var ind=str.lastIndexOf("\n");if(ind==str.length-1)str=str.slice(0,ind);str=str.slice(str.lastIndexOf("\n")+1);try{var res=eval(mathjs(str));}catch(e){err="syntax incomplete";} -if(!isNaN(res)&&res!="Infinity") -str="`"+str+" =` "+(Math.abs(res-Math.round(res*1000000)/1000000)<1e-15?Math.round(res*1000000)/1000000:res)+err;else if(str!="")str="`"+str+"` = undefined";var outnode=document.getElementById(outputId);var n=outnode.childNodes.length;for(var i=0;i<n;i++) -outnode.removeChild(outnode.firstChild);outnode.appendChild(document.createTextNode(str));AMprocessNode(outnode);} -function append(st){document.getElementById('in').value+=st;calculate('in','out');document.getElementById('in').scrollTop=1000;document.getElementById('in').focus();} -function clearTextArea(){document.getElementById('in').value="";calculate('in','out');document.getElementById('in').focus();} -var calcstr="<table align=\"center\">\n<tr><th>\nASCIIMath Scientific Calculator\n</th></tr>\n<tr><td>\nClick in the box to use your keyboard or use the buttons\n</td></tr>\n<tr><td>\n<textarea id=\"in\" rows=\"3\" cols=\"40\" onkeyup=\"calculate('in','out')\"></textarea></td></tr>\n<tr><td height=\"50\">Result: <span id=\"out\"></span></td></tr>\n</table>\n<table align=\"center\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody align=\"center\">\n<tr>\n<td colspan=\"4\">\n<button onclick=\"append('sin^-1(')\"><font size=2>`sin^-1`</font></button><button onclick=\"append('cos^-1(')\"><font size=2>`cos^-1`</font></button><button onclick=\"append('tan^-1(')\"><font size=2>`tan^-1`</font></button></td>\n<td><button onclick=\"clearTextArea()\"> `C` </button></td>\n\n</tr>\n<tr>\n<td><button onclick=\"append('pi')\"> `pi` </button></td>\n<td><button onclick=\"append('sin(')\"> `sin`</button></td>\n<td><button onclick=\"append('cos(')\"> `cos`</button></td>\n<td><button onclick=\"append('tan(')\"> `tan`</button></td>\n<td><button onclick=\"append('^')\">`x^y`</button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('!')\"> `!` </button></td>\n\n<td><button onclick=\"append('(')\"><font size=2> `(` </font></button></td>\n<td><button onclick=\"append(')')\"><font size=2> `)` </font></button></td>\n<td><button onclick=\"append('sqrt(')\"><font size=2>`sqrt({::}^\ )`</font></button></td>\n<td><button onclick=\"append('/')\"> `-:\ `</button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('log(')\">`log`</button></td>\n<td><button onclick=\"append('7')\"> `7` </button></td>\n<td><button onclick=\"append('8')\"> `8` </button></td>\n\n<td><button onclick=\"append('9')\"> `9` </button></td>\n<td><button onclick=\"append('*')\"> `times` </button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('ln(')\"> `ln` </button></td>\n<td><button onclick=\"append('4')\"> `4` </button></td>\n<td><button onclick=\"append('5')\"> `5` </button></td>\n<td><button onclick=\"append('6')\"> `6` </button></td>\n\n<td><button onclick=\"append('-')\"> `-{::}` </button></td>\n</tr>\n<tr>\n<td><button onclick=\"append('e')\"> `e` </button></td>\n<td><button onclick=\"append('1')\"> `1` </button></td>\n<td><button onclick=\"append('2')\"> `2` </button></td>\n<td><button onclick=\"append('3')\"> `3` </button></td>\n<td><button onclick=\"append('+')\"> `+{::}` </button></td>\n\n</tr>\n<tr>\n<td> <!--button onclick=\"append('pi')\"> `pi` </button--></td>\n<td><button onclick=\"append('0')\"> `0` </button></td>\n<td><button onclick=\"append('.')\"> `.` </button></td>\n<td><button onclick=\"append('\\n')\"> `\"ent\"`</button></td>\n</tr>\n</tbody>\n</table>";function generic() -{if(!init())return;if(translateOnLoad){var nd=document.getElementById("processasciimathinmoodle");if(nd!=null)dsvglocation=nd.className;if(nd!=null||!checkforprocessasciimathinmoodle){translate();if(!noSVG&&translateASCIIsvg)drawPictures();} -var li=getElementsByClass(document,"div","ASCIIMathCalculator");if(!noMathML&&li.length>0)initASCIIMathCalculators(li);}};if(typeof window.addEventListener!='undefined') +function AMparseMath(str){var result,node=AMcreateElementMathML("mstyle");var cclr=str.match(/\\color\s*\{\s*([#\w]+)\s*\}/);str=str.replace(/\\color\s*\{\s*[#\w]+\s*\}/g,"");if(cclr!=null){if(IsColorName.test(cclr[1].toLowerCase())){cclr=LaTeXColor[cclr[1].toLowerCase()];}else{cclr=cclr[1];} +node.setAttribute("mathcolor",cclr);}else{if(mathcolor!="")node.setAttribute("mathcolor",mathcolor);};if(mathfontfamily!="")node.setAttribute("fontfamily",mathfontfamily);node.appendChild(AMparseExpr(str.replace(/^\s+/g,""),false,false)[0]);node=AMcreateMmlNode("math",node);if(showasciiformulaonhover) +node.setAttribute("title",str.replace(/\s+/g," "));if(false){var fnode=AMcreateElementXHTML("font");fnode.setAttribute("face",mathfontfamily);fnode.appendChild(node);return fnode;} +return node;} +function AMstrarr2docFrag(arr,linebreaks){var newFrag=document.createDocumentFragment();var expr=false;for(var i=0;i<arr.length;i++){if(expr)newFrag.appendChild(AMparseMath(arr[i]));else{var arri=(linebreaks?arr[i].split("\n\n"):[arr[i]]);newFrag.appendChild(AMcreateElementXHTML("span").appendChild(document.createTextNode(arri[0])));for(var j=1;j<arri.length;j++){newFrag.appendChild(AMcreateElementXHTML("p"));newFrag.appendChild(AMcreateElementXHTML("span").appendChild(document.createTextNode(arri[j])));}} +expr=!expr;} +return newFrag;} +function AMprocessNodeR(n,linebreaks){var mtch,str,arr,frg,i;if(n.childNodes.length==0){if((n.nodeType!=8||linebreaks)&&n.parentNode.nodeName!="form"&&n.parentNode.nodeName!="FORM"&&n.parentNode.nodeName!="textarea"&&n.parentNode.nodeName!="TEXTAREA"&&n.parentNode.nodeName!="pre"&&n.parentNode.nodeName!="PRE"){str=n.nodeValue;if(!(str==null)){str=str.replace(/\r\n\r\n/g,"\n\n");str=str.replace(/\x20+/g," ");str=str.replace(/\s*\r\n/g," ");mtch=(str.indexOf("\$")==-1?false:true);str=str.replace(/([^\\])\$/g,"$1 \$");str=str.replace(/^\$/," \$");arr=str.split(" \$");for(i=0;i<arr.length;i++) +arr[i]=arr[i].replace(/\\\$/g,"\$");if(arr.length>1||mtch){if(checkForMathML){checkForMathML=false;var nd=AMisMathMLavailable();AMnoMathML=nd!=null;if(AMnoMathML&¬ifyIfNoMathML) +if(alertIfNoMathML) +alert("To view the ASCIIMathML notation use Internet Explorer 6 +\nMathPlayer (free from www.dessci.com)\nor Firefox/Mozilla/Netscape");else AMbody.insertBefore(nd,AMbody.childNodes[0]);} +if(!AMnoMathML){frg=AMstrarr2docFrag(arr,n.nodeType==8);var len=frg.childNodes.length;n.parentNode.replaceChild(frg,n);return len-1;}else return 0;}}}else return 0;}else if(n.nodeName!="math"){for(i=0;i<n.childNodes.length;i++) +i+=AMprocessNodeR(n.childNodes[i],linebreaks);} +return 0;} +function AMprocessNode(n,linebreaks,spanclassAM){var frag,st;if(spanclassAM!=null){frag=document.getElementsByTagName("span") +for(var i=0;i<frag.length;i++) +if(frag[i].className=="AM") +AMprocessNodeR(frag[i],linebreaks);}else{try{st=n.innerHTML;}catch(err){} +if(st==null||st.indexOf("\$")!=-1) +AMprocessNodeR(n,linebreaks);} +if(isIE){frag=document.getElementsByTagName('math');for(var i=0;i<frag.length;i++)frag[i].update()}} +var inAppendix=false;var sectionCntr=0;var IEcommentWarning=true;var biblist=[];var bibcntr=0;var LaTeXCounter=[];LaTeXCounter["definition"]=0;LaTeXCounter["proposition"]=0;LaTeXCounter["lemma"]=0;LaTeXCounter["theorem"]=0;LaTeXCounter["corollary"]=0;LaTeXCounter["example"]=0;LaTeXCounter["exercise"]=0;LaTeXCounter["subsection"]=0;LaTeXCounter["subsubsection"]=0;LaTeXCounter["figure"]=0;LaTeXCounter["equation"]=0;LaTeXCounter["table"]=0;var LaTeXColor=[];LaTeXColor["greenyellow"]="#D9FF4F";LaTeXColor["yellow"]="#FFFF00";LaTeXColor["goldenrod"]="#FFE529";LaTeXColor["dandelion"]="#FFB529";LaTeXColor["apricot"]="#FFAD7A";LaTeXColor["peach"]="#FF804D";LaTeXColor["melon"]="#FF8A80";LaTeXColor["yelloworange"]="#FF9400";LaTeXColor["orange"]="#FF6321";LaTeXColor["burntorange"]="#FF7D00";LaTeXColor["bittersweet"]="#C20300";LaTeXColor["redorange"]="#FF3B21";LaTeXColor["mahogany"]="#A60000";LaTeXColor["maroon"]="#AD0000";LaTeXColor["brickred"]="#B80000";LaTeXColor["red"]="#FF0000";LaTeXColor["orangered"]="#FF0080";LaTeXColor["rubinered"]="#FF00DE";LaTeXColor["wildstrawberry"]="#FF0A9C";LaTeXColor["salmon"]="#FF789E";LaTeXColor["carnationpink"]="#FF5EFF";LaTeXColor["magenta"]="#FF00FF";LaTeXColor["violetred"]="#FF30FF";LaTeXColor["rhodamine"]="#FF2EFF";LaTeXColor["mulberry"]="#A314FA";LaTeXColor["redviolet"]="#9600A8";LaTeXColor["fuchsia"]="#7303EB";LaTeXColor["lavender"]="#FF85FF";LaTeXColor["thistle"]="#E069FF";LaTeXColor["orchid"]="#AD5CFF";LaTeXColor["darkorchid"]="#9933CC";LaTeXColor["purple"]="#8C24FF";LaTeXColor["plum"]="#8000FF";LaTeXColor["violet"]="#361FFF";LaTeXColor["royalpurple"]="#401AFF";LaTeXColor["blueviolet"]="#1A0DF5";LaTeXColor["periwinkle"]="#6E73FF";LaTeXColor["cadetblue"]="#616EC4";LaTeXColor["cornflowerblue"]="#59DEFF";LaTeXColor["midnightblue"]="#007091";LaTeXColor["navyblue"]="#0F75FF";LaTeXColor["royalblue"]="#0080FF";LaTeXColor["blue"]="#0000FF";LaTeXColor["cerulean"]="#0FE3FF";LaTeXColor["cyan"]="#00FFFF";LaTeXColor["processblue"]="#0AFFFF";LaTeXColor["skyblue"]="#61FFE0";LaTeXColor["turquoise"]="#26FFCC";LaTeXColor["tealblue"]="#1FFAA3";LaTeXColor["aquamarine"]="#2EFFB2";LaTeXColor["bluegreen"]="#26FFAB";LaTeXColor["emerald"]="#00FF80";LaTeXColor["junglegreen"]="#03FF7A";LaTeXColor["seagreen"]="#4FFF80";LaTeXColor["green"]="#00FF00";LaTeXColor["forestgreen"]="#00E000";LaTeXColor["pinegreen"]="#00BF29";LaTeXColor["limegreen"]="#80FF00";LaTeXColor["yellowgreen"]="#8FFF42";LaTeXColor["springgreen"]="#BDFF3D";LaTeXColor["olivegreen"]="#009900";LaTeXColor["rawsienna"]="#8C0000";LaTeXColor["sepia"]="#4D0000";LaTeXColor["brown"]="#660000";LaTeXColor["tan"]="#DB9470";LaTeXColor["gray"]="#808080";LaTeXColor["grey"]="#808080";LaTeXColor["black"]="#000000";LaTeXColor["white"]="#FFFFFF";var IsColorName=/^(?:greenyellow|yellow|goldenrod|dandelion|apricot|peach|melon|yelloworange|orange|burntorange|bittersweet|redorange|mahogany|maroon|brickred|red|orangered|rubinered|wildstrawberry|salmon|carnationpink|magenta|violetred|rhodamine|mulberry|redviolet|fuchsia|lavender|thistle|orchid|darkorchid|purple|plum|violet|royalpurple|blueviolet|periwinkle|cadetblue|cornflowerblue|midnightblue|navyblue|royalblue|blue|cerulean|cyan|processblue|skyblue|turquoise|tealblue|aquamarine|bluegreen|emerald|junglegreen|seagreen|green|forestgreen|pinegreen|limegreen|yellowgreen|springgreen|olivegreen|rawsienna|sepia|brown|tan|gray|grey|black|white)$/;var IsCounter=/^(?:definition|proposition|lemma|theorem|corollary|example|exercise|subsection|subsubsection|figure|equation|table)$/;var IsLaTeXElement=/^(?:displayequation|title|author|address|date|abstract|keyword|section|subsection|subsubsection|ref|cite|thebibliography|definition|proposition|lemma|theorem|corollary|example|exercise|itemize|enumerate|enddefinition|endproposition|endlemma|endtheorem|endcorollary|endexample|endexercise|enditemize|endenumerate|LaTeXMathMLlabel|LaTeXMathML|smallskip|medskip|bigskip|quote|quotation|endquote|endquotation|center|endcenter|description|enddescription|inlinemath)$/;var IsTextOnlyArea=/^(?:form|textarea|pre)$/i;var tableid=0;function makeNumberString(cntr){if(sectionCntr>0){if(inAppendix){return"A"+sectionCntr+"."+cntr;}else{return sectionCntr+"."+cntr;}}else{return""+cntr;}};function LaTeXpreProcess(thebody){var TheBody=thebody;if(TheBody.hasChildNodes()){if(!(IsLaTeXElement.test(TheBody.className))) +{for(var i=0;i<TheBody.childNodes.length;i++){LaTeXpreProcess(TheBody.childNodes[i])}}} +else{if(TheBody.nodeType==3&&!(IsTextOnlyArea.test(TheBody.parentNode.nodeName))) +{var str=TheBody.nodeValue;if(!(str==null)){str=str.replace(/\\%/g,"<per>");str=str.replace(/%[^\n]*(?=\n)/g,"");str=str.replace(/%[^\r]*(?=\r)/g,"");str=str.replace(/%[^\n]*$/,"") +if(isIE&&str.match(/%/g)!=null&&IEcommentWarning){alert("Comments may not have parsed properly. Try putting in <pre class='LaTeX><div>..</div></pre> structure.");IEcommentWarning=false;} +str=str.replace(/<per>/g,"%");if(str.match(/XXX[\s\S]*/)!=null){var tmp=str.match(/XXX[\s\S]*/)[0];var tmpstr=tmp.charCodeAt(7)+"::"+tmp.charCodeAt(8)+"::"+tmp.charCodeAt(9)+"::"+tmp.charCodeAt(10)+"::"+tmp.charCodeAt(11)+"::"+tmp.charCodeAt(12)+"::"+tmp.charCodeAt(13);alert(tmpstr);} +str=str.replace(/([^\\])\\(\s)/g,"$1\u00A0$2");str=str.replace(/\\quad/g,"\u2001");str=str.replace(/\\qquad/g,"\u2001\u2001");str=str.replace(/\\enspace/g,"\u2002");str=str.replace(/\\;/g,"\u2004");str=str.replace(/\\:/g,"\u2005");str=str.replace(/\\,/g,"\u2006");str=str.replace(/\\thinspace/g,"\u200A");str=str.replace(/([^\\])~/g,"$1\u00A0");str=str.replace(/\\~/g,"~");str=str.replace(/\\\[/g," <DEQ> $\\displaystyle{");str=str.replace(/\\\]/g,"}$ <DEQ> ");str=str.replace(/\$\$/g,"${$<DEQ>$}$");str=str.replace(/\\begin\s*\{\s*array\s*\}/g,"\\begin{array}");str=str.replace(/\\end\s*\{\s*array\s*\}/g,"\\end{array}");str=str.replace(/\\begin\s*\{\s*eqnarray\s*\}/g," <DEQ>eqno$\\begin{eqnarray}");str=str.replace(/\\end\s*\{\s*eqnarray\s*\}/g,"\\end{eqnarray}$<DEQ> ");str=str.replace(/\\begin\s*\{\s*eqnarray\*\s*\}/g," <DEQ>$\\begin{eqnarray}");str=str.replace(/\\end\s*\{\s*eqnarray\*\s*\}/g,"\\end{eqnarray}$<DEQ> ");str=str.replace(/\\begin\s*\{\s*displaymath\s*\}/g," <DEQ> $\\displaystyle{");str=str.replace(/\\end\s*\{\s*displaymath\s*\}/g,"}$ <DEQ> ");str=str.replace(/\\begin\s*\{\s*equation\s*\*\s*\}/g," <DEQ> $\\displaystyle{");str=str.replace(/\\end\s*\{\s*equation\s*\*\s*\}/g,"}$ <DEQ> ");str=str.replace(/\\begin\s*\{\s*equation\s*\}/g," <DEQ>eqno$\\displaystyle{");str=str.replace(/\\end\s*\{\s*equation\s*\}/g,"}$ <DEQ> ");str=str.split("<DEQ>");var newFrag=document.createDocumentFragment();for(var i=0;i<str.length;i++){if(i%2){var DEQtable=document.createElement("table");DEQtable.className='displayequation';var DEQtbody=document.createElement("tbody");var DEQtr=document.createElement("tr");var DEQtdeq=document.createElement("td");DEQtdeq.className='eq';str[i]=str[i].replace(/\$\}\$/g,"$\\displaystyle{");str[i]=str[i].replace(/\$\{\$/g,"}");var lbl=str[i].match(/\\label\s*\{\s*(\w+)\s*\}/);var ISeqno=str[i].match(/^eqno/);str[i]=str[i].replace(/^eqno/," ");str[i]=str[i].replace(/\\label\s*\{\s*\w+\s*\}/," ");DEQtdeq.appendChild(document.createTextNode(str[i]));DEQtr.appendChild(DEQtdeq);str[i]=str[i].replace(/\\nonumber/g,"");if(ISeqno!=null||lbl!=null){var DEQtdno=document.createElement("td");DEQtdno.className='eqno';LaTeXCounter["equation"]++;var eqnoString=makeNumberString(LaTeXCounter["equation"]);var DEQanchor=document.createElement("a");if(lbl!=null){DEQanchor.id=lbl[1]};DEQanchor.className="eqno";var anchorSpan=document.createElement("span");anchorSpan.className="eqno";anchorSpan.style.display="none";anchorSpan.appendChild(document.createTextNode(eqnoString));DEQanchor.appendChild(anchorSpan);DEQtdno.appendChild(DEQanchor);var DEQspan=document.createElement("span");DEQspan.className="eqno";DEQspan.appendChild(document.createTextNode("("+eqnoString+")"));DEQtdno.appendChild(DEQspan);DEQtr.appendChild(DEQtdno);} +DEQtbody.appendChild(DEQtr);DEQtable.appendChild(DEQtbody);newFrag.appendChild(DEQtable);} +else{str[i]=str[i].replace(/\$\}\$/g,"");str[i]=str[i].replace(/\$\{\$/g,"");str[i]=str[i].replace(/\\maketitle/g,"");str[i]=str[i].replace(/\\begin\s*\{\s*document\s*\}/g,"");str[i]=str[i].replace(/\\end\s*\{\s*document\s*\}/g,"");str[i]=str[i].replace(/\\documentclass[^\}]*?\}/g,"");str[i]=str[i].replace(/\\usepackage[^\}]*?\}/g,"");str[i]=str[i].replace(/\\noindent/g,"");str[i]=str[i].replace(/\\notag/g,"");str[i]=str[i].replace(/\\ref\s*\{\s*(\w+)\}/g," \\[ref\\]$1\\[ ");str[i]=str[i].replace(/\\url\s*\{\s*([^\}\n]+)\}/g," \\[url\\]$1\\[ ");str[i]=str[i].replace(/\\href\s*\{\s*([^\}]+)\}\s*\{\s*([^\}]+)\}/g," \\[href\\]$1\\]$2\\[ ");str[i]=str[i].replace(/\\cite\s*\{\s*(\w+)\}/g," \\[cite\\]$1\\[ ");str[i]=str[i].replace(/\\qed/g,"\u220E");str[i]=str[i].replace(/\\endproof/g,"\u220E");str[i]=str[i].replace(/\\proof/g,"\\textbf{Proof: }");str[i]=str[i].replace(/\\n(?=\s)/g," \\[br\\] \\[ ");str[i]=str[i].replace(/\\newline/g," \\[br\\] \\[ ");str[i]=str[i].replace(/\\linebreak/g," \\[br\\] \\[ ");str[i]=str[i].replace(/\\smallskip/g," \\[logicalbreak\\]smallskip\\[ ");str[i]=str[i].replace(/\\medskip/g," \\[logicalbreak\\]medskip\\[ ");str[i]=str[i].replace(/\\bigskip/g," \\[logicalbreak\\]bigskip\\[ ");str[i]=str[i].replace(/[\n\r]+[ \f\n\r\t\v\u2028\u2029]*[\n\r]+/g," \\[logicalbreak\\]LaTeXMathML\\[ ");if(isIE){str[i]=str[i].replace(/\r/g," ");} +str[i]=str[i].replace(/\\bibitem\s*([^\{]*\{\s*\w*\s*\})/g," \\[bibitem\\]$1\\[ ");str[i]=str[i].replace(/\\bibitem\s*/g," \\[bibitem\\] \\[ ");str[i]=str[i].replace(/\\item\s*\[\s*(\w+)\s*\]/g," \\[alistitem\\]$1\\[ ");str[i]=str[i].replace(/\\item\s*/g," \\[alistitem\\] \\[ ");str[i]=str[i].replace(/\\appendix/g," \\[appendix\\] \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*figure\s*\}([\s\S]+?)\\end\s*\{\s*figure\s*\}/g," \\[figure\\]$1\\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*table\s*\}([\s\S]+?)\\end\s*\{\s*table\s*\}/g," \\[table\\]$1\\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*theorem\s*\}/g," \\[theorem\\]Theorem \\[ ");str[i]=str[i].replace(/\\end\s*\{\s*theorem\s*\}/g," \\[endtheorem\\] \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*definition\s*\}/g," \\[definition\\]Definition \\[ ");str[i]=str[i].replace(/\\end\s*\{\s*definition\s*\}/g," \\[enddefinition\\] \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*lemma\s*\}/g," \\[lemma\\]Lemma \\[ ");str[i]=str[i].replace(/\\end\s*\{\s*lemma\s*\}/g," \\[endlemma\\] \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*corollary\s*\}/g," \\[corollary\\]Corollary \\[ ");str[i]=str[i].replace(/\\end\s*\{\s*corollary\s*\}/g," \\[endcorollary\\] \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*proposition\s*\}/g," \\[proposition\\]Proposition \\[ ");str[i]=str[i].replace(/\\end\s*\{\s*proposition\s*\}/g," \\[endproposition\\] \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*example\s*\}/g," \\[example\\]Example \\[ ");str[i]=str[i].replace(/\\end\s*\{\s*example\s*\}/g," \\[endexample\\] \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*exercise\s*\}/g," \\[exercise\\]Exercise \\[ ");str[i]=str[i].replace(/\\end\s*\{\s*exercise\s*\}/g," \\[endexercise\\] \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*thebibliography\s*\}\s*\{\s*\w+\s*\}/g," \\[thebibliography\\]References \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*thebibliography\s*\}/g," \\[thebibliography\\]References \\[ ");str[i]=str[i].replace(/\\end\s*\{\s*thebibliography\s*\}/g," \\[endthebibliography\\]References \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*proof\s*\}/g," \\[proof\\]Proof: \\[ ");if(isIE){str[i]=str[i].replace(/\\end\s*\{\s*proof\s*\}/g,"\u220E \\[endproof\\] \\[ ");}else{str[i]=str[i].replace(/\\end\s*\{\s*proof\s*\}/g," \\[endproof\\] \\[ ");} +str[i]=str[i].replace(/\\title\s*\{\s*([^\}]+)\}/g," \\[title\\] \\[$1 \\[endtitle\\] \\[ ");str[i]=str[i].replace(/\\author\s*\{\s*([^\}]+)\}/g," \\[author\\] \\[$1 \\[endauthor\\] \\[ ");str[i]=str[i].replace(/\\address\s*\{\s*([^\}]+)\}/g," \\[address\\] \\[$1 \\[endaddress\\] \\[ ");str[i]=str[i].replace(/\\date\s*\{\s*([^\}]+)\}/g," \\[date\\] \\[$1 \\[enddate\\] \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*keyword\s*\}/g," \\[keyword\\] \\[ ");str[i]=str[i].replace(/\\end\s*\{\s*keyword\s*\}/g," \\[endkeyword\\] \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*abstract\s*\}/g," \\[abstract\\] \\[ ");str[i]=str[i].replace(/\\end\s*\{\s*abstract\s*\}/g," \\[endabstract\\] \\[ ");str[i]=str[i].replace(/\\begin\s*\{\s*(?!array|tabular)(\w+)\s*\}/g," \\[$1\\] \\[ ");str[i]=str[i].replace(/\\end\s*\{\s*(?!array|tabular)(\w+)\s*\}/g," \\[end$1\\] \\[ ");var sectionIndex=str[i].search(/\\section\s*\{\s*[\s\S]+\}/);while(sectionIndex>=0){str[i]=str[i].replace(/\\section\s*\{/," \\[section\\]");var delimcnt=1;for(var ii=sectionIndex;ii<str[i].length;ii++){if(str[i].charAt(ii)=="{"){delimcnt++};if(str[i].charAt(ii)=="}"){delimcnt--};if(delimcnt==0){str[i]=str[i].substring(0,ii)+"\\[ "+str[i].substring(ii+1,str[i].length);break;}};sectionIndex=str[i].search(/\\section\s*\{\s*[\s\S]+\}/);} +sectionIndex=str[i].search(/\\subsection\s*\{\s*[\s\S]+\}/);while(sectionIndex>=0){str[i]=str[i].replace(/\\subsection\s*\{/," \\[subsection\\]");var delimcnt=1;for(var ii=sectionIndex;ii<str[i].length;ii++){if(str[i].charAt(ii)=="{"){delimcnt++};if(str[i].charAt(ii)=="}"){delimcnt--};if(delimcnt==0){str[i]=str[i].substring(0,ii)+"\\[ "+str[i].substring(ii+1,str[i].length);break;}};sectionIndex=str[i].search(/\\subsection\s*\{\s*[\s\S]+\}/);} +sectionIndex=str[i].search(/\\subsubsection\s*\{\s*[\s\S]+\}/);while(sectionIndex>=0){str[i]=str[i].replace(/\\subsubsection\s*\{/," \\[subsubsection\\]");var delimcnt=1;for(var ii=sectionIndex;ii<str[i].length;ii++){if(str[i].charAt(ii)=="{"){delimcnt++};if(str[i].charAt(ii)=="}"){delimcnt--};if(delimcnt==0){str[i]=str[i].substring(0,ii)+"\\[ "+str[i].substring(ii+1,str[i].length);break;}};sectionIndex=str[i].search(/\\subsubsection\s*\{\s*[\s\S]+\}/);} +var CatToNextEven="";var strtmp=str[i].split("\\[");for(var j=0;j<strtmp.length;j++){if(j%2){var strtmparray=strtmp[j].split("\\]");switch(strtmparray[0]){case"section":var nodeTmp=document.createElement("H2");nodeTmp.className='section';sectionCntr++;for(var div in LaTeXCounter){LaTeXCounter[div]=0};var nodeAnchor=document.createElement("a");if(inAppendix){nodeAnchor.className='appendixsection';}else{nodeAnchor.className='section';} +var nodeNumString=makeNumberString("");var anchorSpan=document.createElement("span");anchorSpan.className="section";anchorSpan.style.display="none";anchorSpan.appendChild(document.createTextNode(nodeNumString));nodeAnchor.appendChild(anchorSpan);nodeTmp.appendChild(nodeAnchor);var nodeSpan=document.createElement("span");nodeSpan.className='section';nodeSpan.appendChild(document.createTextNode(nodeNumString+" "));nodeTmp.appendChild(nodeSpan);nodeTmp.appendChild(document.createTextNode(strtmparray[1]));newFrag.appendChild(nodeTmp);break;case"subsection":var nodeTmp=document.createElement("H3");nodeTmp.className='subsection';LaTeXCounter["subsection"]++;LaTeXCounter["subsubsection"]=0;var nodeAnchor=document.createElement("a");nodeAnchor.className='subsection';var nodeNumString=makeNumberString(LaTeXCounter["subsection"]);var anchorSpan=document.createElement("span");anchorSpan.className="subsection";anchorSpan.style.display="none";anchorSpan.appendChild(document.createTextNode(nodeNumString));nodeAnchor.appendChild(anchorSpan);nodeTmp.appendChild(nodeAnchor);var nodeSpan=document.createElement("span");nodeSpan.className='subsection';nodeSpan.appendChild(document.createTextNode(nodeNumString+". "));nodeTmp.appendChild(nodeSpan);nodeTmp.appendChild(document.createTextNode(strtmparray[1]));newFrag.appendChild(nodeTmp);break;case"subsubsection":var nodeTmp=document.createElement("H4");nodeTmp.className='subsubsection';LaTeXCounter["subsubsection"]++;var nodeAnchor=document.createElement("a");nodeAnchor.className='subsubsection';var nodeNumString=makeNumberString(LaTeXCounter["subsection"]+"."+LaTeXCounter["subsubsection"]);var anchorSpan=document.createElement("span");anchorSpan.className="subsubsection";anchorSpan.style.display="none";anchorSpan.appendChild(document.createTextNode(nodeNumString));nodeAnchor.appendChild(anchorSpan);nodeTmp.appendChild(nodeAnchor);var nodeSpan=document.createElement("span");nodeSpan.className='subsubsection';nodeSpan.appendChild(document.createTextNode(nodeNumString+". "));nodeTmp.appendChild(nodeSpan);nodeTmp.appendChild(document.createTextNode(strtmparray[1]));newFrag.appendChild(nodeTmp);break;case"href":var nodeTmp=document.createElement("a");nodeTmp.className='LaTeXMathML';nodeTmp.href=strtmparray[1];nodeTmp.appendChild(document.createTextNode(strtmparray[2]));newFrag.appendChild(nodeTmp);break;case"url":var nodeTmp=document.createElement("a");nodeTmp.className='LaTeXMathML';nodeTmp.href=strtmparray[1];nodeTmp.appendChild(document.createTextNode(strtmparray[1]));newFrag.appendChild(nodeTmp);break;case"figure":var nodeTmp=document.createElement("table");nodeTmp.className='figure';var FIGtbody=document.createElement("tbody");var FIGlbl=strtmparray[1].match(/\\label\s*\{\s*(\w+)\s*\}/);strtmparray[1]=strtmparray[1].replace(/\\label\s*\{\w+\}/g,"");var capIndex=strtmparray[1].search(/\\caption\s*\{[\s\S]+\}/);var FIGcap="";if(capIndex>=0){var tmp=strtmparray[1];var delimcnt=0;var capstart=-1;for(var pos=capIndex;pos<tmp.length;pos++){if(tmp.charAt(pos)=="{"){delimcnt++};if(tmp.charAt(pos)=="}"){delimcnt--};if(delimcnt==1&&capstart<0){capstart=pos+1};if(delimcnt==0&&capstart>0){capend=pos-1;FIGcap=tmp.substring(capstart,pos);break}}} +var FIGtr2=document.createElement("tr");var FIGtd2=document.createElement("td");FIGtd2.className="caption";var FIGanchor=document.createElement("a");FIGanchor.className="figure";if(FIGlbl!=null){FIGanchor.id=FIGlbl[1];} +LaTeXCounter["figure"]++;var fignmbr=makeNumberString(LaTeXCounter["figure"]);var anchorSpan=document.createElement("span");anchorSpan.className="figure";anchorSpan.style.display="none";anchorSpan.appendChild(document.createTextNode(fignmbr));FIGanchor.appendChild(anchorSpan);FIGtd2.appendChild(FIGanchor);var FIGspan=document.createElement("span");FIGspan.className="figure";FIGspan.appendChild(document.createTextNode("Figure "+fignmbr+". "));FIGtd2.appendChild(FIGspan);FIGtd2.appendChild(document.createTextNode(""+FIGcap));FIGtr2.appendChild(FIGtd2);FIGtbody.appendChild(FIGtr2);var IsSpecial=false;var FIGinfo=strtmparray[1].match(/\\includegraphics\s*\{([^\}]+)\}/);if(FIGinfo==null){FIGinfo=strtmparray[1].match(/\\includegraphics\s*\[[^\]]*\]\s*\{\s*([^\}]+)\s*\}/);} +if(FIGinfo==null){FIGinfo=strtmparray[1].match(/\\special\s*\{\s*([^\}]+)\}/);IsSpecial=true};if(FIGinfo!=null){var FIGtr1=document.createElement("tr");var FIGtd1=document.createElement("td");FIGtd1.className="image";var FIGimg=document.createElement("img");var FIGsrc=FIGinfo[1];FIGimg.src=FIGsrc;FIGimg.alt="Figure "+FIGsrc+" did not load";FIGimg.title="Figure "+fignmbr+". "+FIGcap;FIGimg.id="figure"+fignmbr;FIGtd1.appendChild(FIGimg);FIGtr1.appendChild(FIGtd1);FIGtbody.appendChild(FIGtr1);} +nodeTmp.appendChild(FIGtbody);newFrag.appendChild(nodeTmp);break;case"table":var nodeTmp=document.createElement("table");if(strtmparray[1].search(/\\centering/)>=0){nodeTmp.className='LaTeXtable centered';nodeTmp.align="center";}else{nodeTmp.className='LaTeXtable';};tableid++;nodeTmp.id="LaTeXtable"+tableid;var TABlbl=strtmparray[1].match(/\\label\s*\{\s*(\w+)\s*\}/);strtmparray[1]=strtmparray[1].replace(/\\label\s*\{\w+\}/g,"");var capIndex=strtmparray[1].search(/\\caption\s*\{[\s\S]+\}/);var TABcap="";if(capIndex>=0){var tmp=strtmparray[1];var delimcnt=0;var capstart=-1;for(var pos=capIndex;pos<tmp.length;pos++){if(tmp.charAt(pos)=="{"){delimcnt++};if(tmp.charAt(pos)=="}"){delimcnt--};if(delimcnt==1&&capstart<0){capstart=pos+1};if(delimcnt==0&&capstart>0){capend=pos-1;TABcap=tmp.substring(capstart,pos);break}}} +if(TABcap!=""){var TABtbody=document.createElement("tbody");var TABcaption=document.createElement("caption");TABcaption.className="LaTeXtable centered";var TABanchor=document.createElement("a");TABanchor.className="LaTeXtable";if(TABlbl!=null){TABanchor.id=TABlbl[1];} +LaTeXCounter["table"]++;var tabnmbr=makeNumberString(LaTeXCounter["table"]);var anchorSpan=document.createElement("span");anchorSpan.className="LaTeXtable";anchorSpan.style.display="none";anchorSpan.appendChild(document.createTextNode(tabnmbr));TABanchor.appendChild(anchorSpan);TABcaption.appendChild(TABanchor);var TABspan=document.createElement("span");TABspan.className="LaTeXtable";TABspan.appendChild(document.createTextNode("Table "+tabnmbr+". "));TABcaption.appendChild(TABspan);TABcaption.appendChild(document.createTextNode(""+TABcap));nodeTmp.appendChild(TABcaption);} +var TABinfo=strtmparray[1].match(/\\begin\s*\{\s*tabular\s*\}([\s\S]+)\\end\s*\{\s*tabular\s*\}/);if(TABinfo!=null){var TABtbody=document.createElement('tbody');var TABrow=null;var TABcell=null;var row=0;var col=0;var TABalign=TABinfo[1].match(/^\s*\{([^\}]+)\}/);TABinfo=TABinfo[1].replace(/^\s*\{[^\}]+\}/,"");TABinfo=TABinfo.replace(/\\hline/g,"");TABalign[1]=TABalign[1].replace(/\|/g,"");TABalign[1]=TABalign[1].replace(/\s/g,"");TABinfo=TABinfo.split("\\\\");for(row=0;row<TABinfo.length;row++){TABrow=document.createElement("tr");TABinfo[row]=TABinfo[row].split("&");for(col=0;col<TABinfo[row].length;col++){TABcell=document.createElement("td");switch(TABalign[1].charAt(col)){case"l":TABcell.align="left";break;case"c":TABcell.align="center";break;case"r":TABcell.align="right";break;default:TABcell.align="left";};TABcell.appendChild(document.createTextNode(TABinfo[row][col]));TABrow.appendChild(TABcell);} +TABtbody.appendChild(TABrow);} +nodeTmp.appendChild(TABtbody);} +newFrag.appendChild(nodeTmp);break;case"logicalbreak":var nodeTmp=document.createElement("p");nodeTmp.className=strtmparray[1];nodeTmp.appendChild(document.createTextNode("\u00A0"));newFrag.appendChild(nodeTmp);break;case"appendix":inAppendix=true;sectionCntr=0;break;case"alistitem":var EndDiv=document.createElement("div");EndDiv.className="endlistitem";newFrag.appendChild(EndDiv);var BegDiv=document.createElement("div");BegDiv.className="listitem";if(strtmparray[1]!=" "){var BegSpan=document.createElement("span");BegSpan.className="listitemmarker";var boldBegSpan=document.createElement("b");boldBegSpan.appendChild(document.createTextNode(strtmparray[1]+" "));BegSpan.appendChild(boldBegSpan);BegDiv.appendChild(BegSpan);} +newFrag.appendChild(BegDiv);break;case"br":newFrag.appendChild(document.createElement("br"));break;case"bibitem":newFrag.appendChild(document.createElement("br"));var nodeTmp=document.createElement("a");nodeTmp.className='bibitem';var nodeSpan=document.createElement("span");nodeSpan.className='bibitem';bibcntr++;var lbl=strtmparray[1].match(/\{\s*(\w+)\s*\}/);strtmparray[1]=strtmparray[1].replace(/\s*\{\s*\w+\s*\}/g,"");strtmparray[1]=strtmparray[1].replace(/^\s*\[/,"");strtmparray[1]=strtmparray[1].replace(/\s*\]$/,"");strtmparray[1]=strtmparray[1].replace(/^\s+|\s+$/g,"");if(lbl==null){biblist[bibcntr]="bibitem"+bibcntr}else{biblist[bibcntr]=lbl[1];};nodeTmp.name=biblist[bibcntr];nodeTmp.id=biblist[bibcntr];if(strtmparray[1]!=""){nodeSpan.appendChild(document.createTextNode(strtmparray[1]));}else{nodeSpan.appendChild(document.createTextNode("["+bibcntr+"]"));} +nodeTmp.appendChild(nodeSpan);newFrag.appendChild(nodeTmp);break;case"cite":var nodeTmp=document.createElement("a");nodeTmp.className='cite';nodeTmp.name='cite';nodeTmp.href="#"+strtmparray[1];newFrag.appendChild(nodeTmp);break;case"ref":var nodeTmp=document.createElement("a");nodeTmp.className='ref';nodeTmp.name='ref';nodeTmp.href="#"+strtmparray[1];newFrag.appendChild(nodeTmp);break;default:var nodeTmp=document.createElement("div");nodeTmp.className=strtmparray[0];if(IsCounter.test(strtmparray[0])){LaTeXCounter[strtmparray[0]]++;var nodeAnchor=document.createElement("a");nodeAnchor.className=strtmparray[0];var divnum=makeNumberString(LaTeXCounter[strtmparray[0]]);var anchorSpan=document.createElement("span");anchorSpan.className=strtmparray[0];anchorSpan.appendChild(document.createTextNode(divnum));anchorSpan.style.display="none";nodeAnchor.appendChild(anchorSpan);nodeTmp.appendChild(nodeAnchor);var nodeSpan=document.createElement("span");nodeSpan.className=strtmparray[0];nodeSpan.appendChild(document.createTextNode(strtmparray[1]+" "+divnum+". "));nodeTmp.appendChild(nodeSpan);} +if(isIE){if(strtmparray[0]==("thebibliography"||"abstract"||"keyword"||"proof")){var nodeSpan=document.createElement("span");nodeSpan.className=strtmparray[0];nodeSpan.appendChild(document.createTextNode(strtmparray[1]));nodeTmp.appendChild(nodeSpan);}} +if(strtmparray[0]=="endenumerate"||strtmparray[0]=="enditemize"||strtmparray[0]=="enddescription"){var endDiv=document.createElement("div");endDiv.className="endlistitem";newFrag.appendChild(endDiv);} +newFrag.appendChild(nodeTmp);if(strtmparray[0]=="enumerate"||strtmparray[0]=="itemize"||strtmparray[0]=="description"){var endDiv=document.createElement("div");endDiv.className="listitem";newFrag.appendChild(endDiv);}}}else{strtmp[j]=strtmp[j].replace(/\\\$/g,"<per>");strtmp[j]=strtmp[j].replace(/\$([^\$]+)\$/g," \\[$1\\[ ");strtmp[j]=strtmp[j].replace(/<per>/g,"\\$");strtmp[j]=strtmp[j].replace(/\\begin\s*\{\s*math\s*\}([\s\S]+?)\\end\s*\{\s*math\s*\}/g," \\[$1\\[ ");var strtmptmp=strtmp[j].split("\\[");for(var jjj=0;jjj<strtmptmp.length;jjj++){if(jjj%2){var nodeTmp=document.createElement("span");nodeTmp.className='inlinemath';nodeTmp.appendChild(document.createTextNode("$"+strtmptmp[jjj]+"$"));newFrag.appendChild(nodeTmp);}else{var TagIndex=strtmptmp[jjj].search(/\\\w+/);var tmpIndex=TagIndex;while(tmpIndex>-1){if(/^\\textcolor/.test(strtmptmp[jjj].substring(TagIndex,strtmptmp[jjj].length))){strtmptmp[jjj]=strtmptmp[jjj].replace(/\\textcolor\s*\{\s*(\w+)\s*\}\s*/," \\[textcolor\\]$1\\]|");}else{if(/^\\colorbox/.test(strtmptmp[jjj].substring(TagIndex,strtmptmp[jjj].length))){strtmptmp[jjj]=strtmptmp[jjj].replace(/\\colorbox\s*\{\s*(\w+)\s*\}\s*/," \\[colorbox\\]$1\\]|");}else{strtmptmp[jjj]=strtmptmp[jjj].substring(0,TagIndex)+strtmptmp[jjj].substring(TagIndex,strtmptmp[jjj].length).replace(/\\\s*(\w+)\s*/," \\[$1\\]|");}} +TagIndex+=strtmptmp[jjj].substring(TagIndex,strtmptmp[jjj].length).search(/\|/);TagIndex++;strtmptmp[jjj]=strtmptmp[jjj].replace(/\\\]\|/,"\\] ");if(strtmptmp[jjj].charAt(TagIndex)=="{"){strtmptmp[jjj]=strtmptmp[jjj].substring(0,TagIndex)+strtmptmp[jjj].substring(TagIndex+1,strtmptmp[jjj].length);var delimcnt=1;for(var kk=TagIndex;kk<strtmptmp[jjj].length;kk++){if(strtmptmp[jjj].charAt(kk)=="{"){delimcnt++};if(strtmptmp[jjj].charAt(kk)=="}"){delimcnt--};if(delimcnt==0){break;}} +strtmptmp[jjj]=strtmptmp[jjj].substring(0,kk)+"\\[ "+strtmptmp[jjj].substring(kk+1,strtmptmp[jjj].length);TagIndex=kk+3;}else{strtmptmp[jjj]=strtmptmp[jjj].substring(0,TagIndex)+"\\[ "+strtmptmp[jjj].substring(TagIndex+1,strtmptmp[jjj].length);TagIndex=TagIndex+3;} +if(TagIndex<strtmptmp[jjj].length){tmpIndex=strtmptmp[jjj].substring(TagIndex,strtmptmp[jjj].length).search(/\\\w+/);} +else{tmpIndex=-1};TagIndex+=tmpIndex;} +strtmptmp[jjj]=strtmptmp[jjj].replace(/\\\\\s*\\\\/g,"\\\\");strtmptmp[jjj]=strtmptmp[jjj].replace(/\\\\/g," \\[br\\] \\[ ");strtmptmp[jjj]=strtmptmp[jjj].replace(/\\label\s*\{\s*(\w+)\s*\}/g," \\[a\\]$1\\[ ");var strlbls=strtmptmp[jjj].split("\\[");for(var jj=0;jj<strlbls.length;jj++){if(jj%2){var strtmparray=strlbls[jj].split("\\]");switch(strtmparray[0]){case"textcolor":var nodeTmp=document.createElement("span");nodeTmp.className='LaTeXColor';if(IsColorName.test(strtmparray[1].toLowerCase())){nodeTmp.style.color=LaTeXColor[strtmparray[1].toLowerCase()];}else{nodeTmp.style.color=strtmparray[1];};nodeTmp.appendChild(document.createTextNode(strtmparray[2]));newFrag.appendChild(nodeTmp);break;case"colorbox":var nodeTmp=document.createElement("span");nodeTmp.className='LaTeXColor';if(IsColorName.test(strtmparray[1].toLowerCase())){nodeTmp.style.background=LaTeXColor[strtmparray[1].toLowerCase()];}else{nodeTmp.style.background=strtmparray[1];};nodeTmp.appendChild(document.createTextNode(strtmparray[2]));newFrag.appendChild(nodeTmp);break;case"br":newFrag.appendChild(document.createElement("br"));break;case"a":var nodeTmp=document.createElement("a");nodeTmp.className='LaTeXMathMLlabel';nodeTmp.id=strtmparray[1];nodeTmp.style.display="none";newFrag.appendChild(nodeTmp);break;default:var nodeTmp=document.createElement("span");nodeTmp.className=strtmparray[0];nodeTmp.appendChild(document.createTextNode(strtmparray[1])) +newFrag.appendChild(nodeTmp);}}else{newFrag.appendChild(document.createTextNode(strlbls[jj]));}}}}}}}};TheBody.parentNode.replaceChild(newFrag,TheBody);}}} +return TheBody;} +function LaTeXDivsAndRefs(thebody){var TheBody=thebody;var EndDivClass=null;var AllDivs=TheBody.getElementsByTagName("div");var lbl2id="";var lblnode=null;for(var i=AllDivs.length-1;i>=0;i--){EndDivClass=AllDivs[i].className.match(/end\w+/);if(EndDivClass!=null){EndDivClass=EndDivClass[0];var DivClass=EndDivClass.substring(3,EndDivClass.length);var EndDivNode=AllDivs[i];break;}} +while(EndDivClass!=null){var newFrag=document.createDocumentFragment();var RootNode=EndDivNode.parentNode;var ClassCount=1;while(EndDivNode.previousSibling!=null&&ClassCount>0){switch(EndDivNode.previousSibling.className){case EndDivClass:ClassCount++;newFrag.insertBefore(EndDivNode.previousSibling,newFrag.firstChild);break;case DivClass:if(EndDivNode.previousSibling.nodeName=="DIV"){ClassCount--;if(lbl2id!=""){EndDivNode.previousSibling.id=lbl2id;lbl2id=""} +if(ClassCount==0){RootNode=EndDivNode.previousSibling;}else{newFrag.insertBefore(EndDivNode.previousSibling,newFrag.firstChild);}};break;case'LaTeXMathMLlabel':lbl2id=EndDivNode.previousSibling.id;EndDivNode.parentNode.removeChild(EndDivNode.previousSibling);break;default:newFrag.insertBefore(EndDivNode.previousSibling,newFrag.firstChild);}} +RootNode.appendChild(newFrag);EndDivNode.parentNode.removeChild(EndDivNode);AllDivs=TheBody.getElementsByTagName("DIV");for(i=AllDivs.length-1;i>=0;i--){EndDivClass=AllDivs[i].className.match(/end\w+/);if(EndDivClass!=null){ClassCount=0;EndDivClass=EndDivClass[0];DivClass=EndDivClass.substring(3,EndDivClass.length);EndDivNode=AllDivs[i];RootNode=EndDivNode.parentNode;break;}}} +var AllDivs=TheBody.getElementsByTagName("div");var DIV2LI=null;for(var i=0;i<AllDivs.length;i++){if(AllDivs[i].className=="itemize"||AllDivs[i].className=="enumerate"||AllDivs[i].className=="description"){if(AllDivs[i].className=="itemize"){RootNode=document.createElement("UL");}else{RootNode=document.createElement("OL");} +RootNode.className='LaTeXMathML';if(AllDivs[i].hasChildNodes()){AllDivs[i].removeChild(AllDivs[i].firstChild)};while(AllDivs[i].hasChildNodes()){if(AllDivs[i].firstChild.hasChildNodes()){DIV2LI=document.createElement("LI");while(AllDivs[i].firstChild.hasChildNodes()){DIV2LI.appendChild(AllDivs[i].firstChild.firstChild);} +if(DIV2LI.firstChild.className=="listitemmarker"){DIV2LI.style.listStyleType="none";} +RootNode.appendChild(DIV2LI)} +AllDivs[i].removeChild(AllDivs[i].firstChild);} +AllDivs[i].appendChild(RootNode);}} +var AllAnchors=TheBody.getElementsByTagName("a");for(var i=0;i<AllAnchors.length;i++){if(AllAnchors[i].className=="ref"||AllAnchors[i].className=="cite"){var label=AllAnchors[i].href.match(/\#(\w+)/);if(label!=null){var labelNode=document.getElementById(label[1]);if(labelNode!=null){var TheSpans=labelNode.getElementsByTagName("SPAN");if(TheSpans!=null){var refNode=TheSpans[0].cloneNode(true);refNode.style.display="inline" +refNode.className=AllAnchors[i].className;AllAnchors[i].appendChild(refNode);}}}}} +return TheBody;} +var AMbody;var AMnoMathML=false,AMtranslated=false;function translate(spanclassAM){if(!AMtranslated){AMtranslated=true;AMinitSymbols();var LaTeXContainers=[];var AllContainers=document.getElementsByTagName('*');var ExtendName="";for(var k=0,l=0;k<AllContainers.length;k++){ExtendName=" "+AllContainers[k].className+" ";if(ExtendName.match(/\sLaTeX\s/)!=null){LaTeXContainers[l]=AllContainers[k];l++;}};if(LaTeXContainers.length>0){for(var m=0;m<LaTeXContainers.length;m++){AMbody=LaTeXContainers[m];try{AMbody=LaTeXDivsAndRefs(LaTeXpreProcess(AMbody));}catch(err){alert("Unknown Error: Defaulting to Original LaTeXMathML");} +if(AMbody.tagName=="PRE"){var PreChilds=document.createDocumentFragment();var DivChilds=document.createElement("DIV");while(AMbody.hasChildNodes()){DivChilds.appendChild(AMbody.firstChild);} +PreChilds.appendChild(DivChilds);AMbody.parentNode.replaceChild(PreChilds,AMbody);AMbody=DivChilds;} +AMprocessNode(AMbody,false,spanclassAM);}}else{AMbody=document.getElementsByTagName("body")[0];try{AMbody=LaTeXDivsAndRefs(LaTeXpreProcess(AMbody));}catch(err){alert("Unknown Error: Defaulting to Original LaTeXMathML");} +AMprocessNode(AMbody,false,spanclassAM);}}} +if(isIE){document.write("<object id=\"mathplayer\" classid=\"clsid:32F66A20-7614-11D4-BD11-00104BD3F987\"></object>");document.write("<?import namespace=\"m\" implementation=\"#mathplayer\"?>");} +function generic() +{translate();};if(typeof window.addEventListener!='undefined') {window.addEventListener('load',generic,false);} else if(typeof document.addEventListener!='undefined') {document.addEventListener('load',generic,false);} @@ -384,8 +215,7 @@ else {var existing=onload;window.onload=function() {existing();generic();};} else -{window.onload=generic;}} -</script> +{window.onload=generic;}}</script> <!-- configuration parameters --> <meta name="defaultView" content="slideshow" /> <meta name="controlVis" content="hidden" /> diff --git a/tests/s5.native b/tests/s5.native index 5b6da6fcc..e314da12a 100644 --- a/tests/s5.native +++ b/tests/s5.native @@ -5,5 +5,5 @@ Pandoc (Meta [Str "My",Space,Str "S5",Space,Str "Document"] ["Sam Smith","Jen Jo , [ Plain [Str "second",Space,Str "bullet"] ] ] , Header 1 [Str "Math"] , BulletList - [ [ Plain [Math "\\frac{d}{dx}f(x)=\\lim_{h\\to 0}\\frac{f(x+h)-f(x)}{h}"] ] + [ [ Plain [Math InlineMath "\\frac{d}{dx}f(x)=\\lim_{h\\to 0}\\frac{f(x+h)-f(x)}{h}"] ] ] ] diff --git a/tests/testsuite.native b/tests/testsuite.native index 564faf0d8..875918b9e 100644 --- a/tests/testsuite.native +++ b/tests/testsuite.native @@ -282,14 +282,13 @@ Pandoc (Meta [Str "Pandoc",Space,Str "Test",Space,Str "Suite"] ["John MacFarlane , Header 1 [Str "LaTeX"] , BulletList [ [ Plain [TeX "\\cite[22-23]{smith.1899}"] ] - , [ Plain [TeX "\\doublespacing"] ] - , [ Plain [Math "2+2=4"] ] - , [ Plain [Math "x \\in y"] ] - , [ Plain [Math "\\alpha \\wedge \\omega"] ] - , [ Plain [Math "223"] ] - , [ Plain [Math "p",Str "-",Str "Tree"] ] - , [ Plain [Math "\\frac{d}{dx}f(x)=\\lim_{h\\to 0}\\frac{f(x+h)-f(x)}{h}"] ] - , [ Plain [Str "Here",Apostrophe,Str "s",Space,Str "one",Space,Str "that",Space,Str "has",Space,Str "a",Space,Str "line",Space,Str "break",Space,Str "in",Space,Str "it:",Space,Math "\\alpha + \\omega \\times x^2",Str "."] ] ] + , [ Plain [Math InlineMath "2+2=4"] ] + , [ Plain [Math InlineMath "x \\in y"] ] + , [ Plain [Math InlineMath "\\alpha \\wedge \\omega"] ] + , [ Plain [Math InlineMath "223"] ] + , [ Plain [Math InlineMath "p",Str "-",Str "Tree"] ] + , [ Plain [Str "Here",Apostrophe,Str "s",Space,Str "some",Space,Str "display",Space,Str "math:",Space,Math DisplayMath "\\frac{d}{dx}f(x)=\\lim_{h\\to 0}\\frac{f(x+h)-f(x)}{h}"] ] + , [ Plain [Str "Here",Apostrophe,Str "s",Space,Str "one",Space,Str "that",Space,Str "has",Space,Str "a",Space,Str "line",Space,Str "break",Space,Str "in",Space,Str "it:",Space,Math InlineMath "\\alpha + \\omega \\times x^2",Str "."] ] ] , Para [Str "These",Space,Str "shouldn",Apostrophe,Str "t",Space,Str "be",Space,Str "math:"] , BulletList [ [ Plain [Str "To",Space,Str "get",Space,Str "the",Space,Str "famous",Space,Str "equation,",Space,Str "write",Space,Code "$e = mc^2$",Str "."] ] diff --git a/tests/testsuite.txt b/tests/testsuite.txt index d55a93a4e..357739e08 100644 --- a/tests/testsuite.txt +++ b/tests/testsuite.txt @@ -467,13 +467,13 @@ Ellipses...and. . .and . . . . # LaTeX - \cite[22-23]{smith.1899} -- \doublespacing - $2+2=4$ - $x \in y$ - $\alpha \wedge \omega$ - $223$ - $p$-Tree -- $\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$ +- Here's some display math: + $$\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$$ - Here's one that has a line break in it: $\alpha + \omega \times x^2$. diff --git a/tests/writer.context b/tests/writer.context index de0f36590..c5529a8df 100644 --- a/tests/writer.context +++ b/tests/writer.context @@ -630,8 +630,6 @@ Ellipses\ldots{}and\ldots{}and\ldots{}. \item \cite[22-23]{smith.1899} \item - \doublespacing -\item $2+2=4$ \item $x \in y$ @@ -642,7 +640,8 @@ Ellipses\ldots{}and\ldots{}and\ldots{}. \item $p$-Tree \item - $\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$ + Here's some display math: + \startformula \frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h} \stopformula \item Here's one that has a line break in it: $\alpha + \omega \times x^2$. diff --git a/tests/writer.docbook b/tests/writer.docbook index d2bcac18d..2371a2e1b 100644 --- a/tests/writer.docbook +++ b/tests/writer.docbook @@ -977,10 +977,6 @@ Blah </listitem> <listitem> <para> - </para> - </listitem> - <listitem> - <para> 2+2=4 </para> </listitem> @@ -1006,6 +1002,7 @@ Blah </listitem> <listitem> <para> + Here's some display math: \frac{<emphasis>d</emphasis>}{<emphasis>dx</emphasis>}<emphasis>f</emphasis>(<emphasis>x</emphasis>)=\lim<subscript><emphasis>h</emphasis> → 0</subscript>\frac{<emphasis>f</emphasis>(<emphasis>x</emphasis>+<emphasis>h</emphasis>)-<emphasis>f</emphasis>(<emphasis>x</emphasis>)}{<emphasis>h</emphasis>} </para> </listitem> diff --git a/tests/writer.html b/tests/writer.html index 8a4f62fee..d5f357423 100644 --- a/tests/writer.html +++ b/tests/writer.html @@ -720,8 +720,6 @@ Blah ><li ></li ><li - ></li - ><li ><span class="math" >2+2=4</span ></li @@ -748,7 +746,7 @@ Blah ></span >-Tree</li ><li - ><span class="math" + >Here’s some display math: <span class="math" >\frac{<em >d</em >}{<em diff --git a/tests/writer.latex b/tests/writer.latex index 70e50645e..022ad893f 100644 --- a/tests/writer.latex +++ b/tests/writer.latex @@ -565,8 +565,6 @@ Ellipses\ldots{}and\ldots{}and\ldots{}. \item \cite[22-23]{smith.1899} \item - \doublespacing -\item $2+2=4$ \item $x \in y$ @@ -577,7 +575,8 @@ Ellipses\ldots{}and\ldots{}and\ldots{}. \item $p$-Tree \item - $\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$ + Here's some display math: + \[\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}\] \item Here's one that has a line break in it: $\alpha + \omega \times x^2$. diff --git a/tests/writer.man b/tests/writer.man index e855aa807..63890bd1d 100644 --- a/tests/writer.man +++ b/tests/writer.man @@ -547,7 +547,6 @@ Ellipses\&...and\&...and\&...\. .SH LaTeX .IP \[bu] 2 .IP \[bu] 2 -.IP \[bu] 2 \f[B]2+2=4\f[] .IP \[bu] 2 \f[B]x\ \\in\ y\f[] @@ -558,7 +557,10 @@ Ellipses\&...and\&...and\&...\. .IP \[bu] 2 \f[B]p\f[]-Tree .IP \[bu] 2 +Here's some display math: +.RS \f[B]\\frac{d}{dx}f(x)=\\lim_{h\\to\ 0}\\frac{f(x+h)-f(x)}{h}\f[] +.RE .IP \[bu] 2 Here's one that has a line break in it: \f[B]\\alpha\ +\ \\omega\ \\times\ x^2\f[]\. diff --git a/tests/writer.markdown b/tests/writer.markdown index fbe3c085f..9c79bfb66 100644 --- a/tests/writer.markdown +++ b/tests/writer.markdown @@ -492,13 +492,13 @@ Ellipses...and...and.... # LaTeX - \cite[22-23]{smith.1899} -- \doublespacing - $2+2=4$ - $x \in y$ - $\alpha \wedge \omega$ - $223$ - $p$-Tree -- $\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$ +- Here's some display math: + $$\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$$ - Here's one that has a line break in it: $\alpha + \omega \times x^2$. diff --git a/tests/writer.mediawiki b/tests/writer.mediawiki index 39def56d8..fc9db6faa 100644 --- a/tests/writer.mediawiki +++ b/tests/writer.mediawiki @@ -423,13 +423,12 @@ Ellipses…and…and…. == LaTeX == * -* * <math>2+2=4</math> * <math>x \in y</math> * <math>\alpha \wedge \omega</math> * <math>223</math> * <math>p</math>-Tree -* <math>\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}</math> +* Here’s some display math: <math>\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}</math> * Here’s one that has a line break in it: <math>\alpha + \omega \times x^2</math>. These shouldn’t be math: diff --git a/tests/writer.native b/tests/writer.native index 564faf0d8..875918b9e 100644 --- a/tests/writer.native +++ b/tests/writer.native @@ -282,14 +282,13 @@ Pandoc (Meta [Str "Pandoc",Space,Str "Test",Space,Str "Suite"] ["John MacFarlane , Header 1 [Str "LaTeX"] , BulletList [ [ Plain [TeX "\\cite[22-23]{smith.1899}"] ] - , [ Plain [TeX "\\doublespacing"] ] - , [ Plain [Math "2+2=4"] ] - , [ Plain [Math "x \\in y"] ] - , [ Plain [Math "\\alpha \\wedge \\omega"] ] - , [ Plain [Math "223"] ] - , [ Plain [Math "p",Str "-",Str "Tree"] ] - , [ Plain [Math "\\frac{d}{dx}f(x)=\\lim_{h\\to 0}\\frac{f(x+h)-f(x)}{h}"] ] - , [ Plain [Str "Here",Apostrophe,Str "s",Space,Str "one",Space,Str "that",Space,Str "has",Space,Str "a",Space,Str "line",Space,Str "break",Space,Str "in",Space,Str "it:",Space,Math "\\alpha + \\omega \\times x^2",Str "."] ] ] + , [ Plain [Math InlineMath "2+2=4"] ] + , [ Plain [Math InlineMath "x \\in y"] ] + , [ Plain [Math InlineMath "\\alpha \\wedge \\omega"] ] + , [ Plain [Math InlineMath "223"] ] + , [ Plain [Math InlineMath "p",Str "-",Str "Tree"] ] + , [ Plain [Str "Here",Apostrophe,Str "s",Space,Str "some",Space,Str "display",Space,Str "math:",Space,Math DisplayMath "\\frac{d}{dx}f(x)=\\lim_{h\\to 0}\\frac{f(x+h)-f(x)}{h}"] ] + , [ Plain [Str "Here",Apostrophe,Str "s",Space,Str "one",Space,Str "that",Space,Str "has",Space,Str "a",Space,Str "line",Space,Str "break",Space,Str "in",Space,Str "it:",Space,Math InlineMath "\\alpha + \\omega \\times x^2",Str "."] ] ] , Para [Str "These",Space,Str "shouldn",Apostrophe,Str "t",Space,Str "be",Space,Str "math:"] , BulletList [ [ Plain [Str "To",Space,Str "get",Space,Str "the",Space,Str "famous",Space,Str "equation,",Space,Str "write",Space,Code "$e = mc^2$",Str "."] ] diff --git a/tests/writer.opendocument b/tests/writer.opendocument index 6fc62a1f8..a94b1176a 100644 --- a/tests/writer.opendocument +++ b/tests/writer.opendocument @@ -1367,9 +1367,6 @@ <text:p text:style-name="P50"><text:span text:style-name="Teletype">\cite[22-23]{smith.1899}</text:span></text:p> </text:list-item> <text:list-item> - <text:p text:style-name="P50"><text:span text:style-name="Teletype">\doublespacing</text:span></text:p> - </text:list-item> - <text:list-item> <text:p text:style-name="P50">2+2=4</text:p> </text:list-item> <text:list-item> @@ -1385,7 +1382,7 @@ <text:p text:style-name="P50"><text:span text:style-name="T60">p</text:span>-Tree</text:p> </text:list-item> <text:list-item> - <text:p text:style-name="P50">\frac{<text:span text:style-name="T61">d</text:span>}{<text:span text:style-name="T62">dx</text:span>}<text:span text:style-name="T63">f</text:span>(<text:span text:style-name="T64">x</text:span>)=\lim<text:span text:style-name="T65">h</text:span><text:span text:style-name="T66"> → </text:span><text:span text:style-name="T67">0</text:span>\frac{<text:span text:style-name="T68">f</text:span>(<text:span text:style-name="T69">x</text:span>+<text:span text:style-name="T70">h</text:span>)-<text:span text:style-name="T71">f</text:span>(<text:span text:style-name="T72">x</text:span>)}{<text:span text:style-name="T73">h</text:span>}</text:p> + <text:p text:style-name="P50">Here’s some display math: \frac{<text:span text:style-name="T61">d</text:span>}{<text:span text:style-name="T62">dx</text:span>}<text:span text:style-name="T63">f</text:span>(<text:span text:style-name="T64">x</text:span>)=\lim<text:span text:style-name="T65">h</text:span><text:span text:style-name="T66"> → </text:span><text:span text:style-name="T67">0</text:span>\frac{<text:span text:style-name="T68">f</text:span>(<text:span text:style-name="T69">x</text:span>+<text:span text:style-name="T70">h</text:span>)-<text:span text:style-name="T71">f</text:span>(<text:span text:style-name="T72">x</text:span>)}{<text:span text:style-name="T73">h</text:span>}</text:p> </text:list-item> <text:list-item> <text:p text:style-name="P50">Here’s one that has a line break in it: α+ω × <text:span text:style-name="T74">x</text:span><text:span text:style-name="T75">2</text:span>.</text:p> diff --git a/tests/writer.rst b/tests/writer.rst index fc921ea76..72877d7a7 100644 --- a/tests/writer.rst +++ b/tests/writer.rst @@ -622,13 +622,13 @@ LaTeX - -- - :math:`$2+2=4$` - :math:`$x \in y$` - :math:`$\alpha \wedge \omega$` - :math:`$223$` - :math:`$p$`-Tree -- :math:`$\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$` +- Here's some display math: + :math:`$$\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$$` - Here's one that has a line break in it: :math:`$\alpha + \omega \times x^2$`. diff --git a/tests/writer.rtf b/tests/writer.rtf index 05dd26344..6ee7bfae0 100644 --- a/tests/writer.rtf +++ b/tests/writer.rtf @@ -241,13 +241,12 @@ quoted link {\pard \qc \f0 \sa180 \li0 \fi0 \emdash\emdash\emdash\emdash\emdash\par} {\pard \ql \f0 \sa180 \li0 \fi0 \b \fs36 LaTeX\par} {\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab \par} -{\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab \par} {\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab 2+2=4\par} {\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab {\i x}\u8201?\u8712?\u8201?{\i y}\par} {\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab \u945?\u8201?\u8743?\u8201?\u969?\par} {\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab 223\par} {\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab {\i p}-Tree\par} -{\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab \\frac\{{\i d}\}\{{\i dx}\}{\i f}({\i x})=\\lim{\sub {\i h}\u8201?\u8594?\u8201?0}\\frac\{{\i f}({\i x}+{\i h})-{\i f}({\i x})\}\{{\i h}\}\par} +{\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab Here\u8217's some display math: \\frac\{{\i d}\}\{{\i dx}\}{\i f}({\i x})=\\lim{\sub {\i h}\u8201?\u8594?\u8201?0}\\frac\{{\i f}({\i x}+{\i h})-{\i f}({\i x})\}\{{\i h}\}\par} {\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab Here\u8217's one that has a line break in it: \u945?+\u969?\u8201?\u215?\u8201?{\i x}{\super 2}.\sa180\par} {\pard \ql \f0 \sa180 \li0 \fi0 These shouldn\u8217't be math:\par} {\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab To get the famous equation, write {\f1 $e = mc^2$}.\par} diff --git a/tests/writer.texinfo b/tests/writer.texinfo index 3dcb93832..025319ac9 100644 --- a/tests/writer.texinfo +++ b/tests/writer.texinfo @@ -709,10 +709,6 @@ Ellipses@dots{}and@dots{}and@dots{}. \cite[22-23]{smith.1899} @end tex @item -@tex -\doublespacing -@end tex -@item @math{2+2=4} @item @math{x \in y} @@ -723,7 +719,7 @@ Ellipses@dots{}and@dots{}and@dots{}. @item @math{p}-Tree @item -@math{\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}} +Here's some display math: @math{\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}} @item Here's one that has a line break in it: @math{\alpha + \omega \times x^2}. @end itemize diff --git a/web/index.txt.in b/web/index.txt.in index 0d4ea7d18..5894e1f70 100644 --- a/web/index.txt.in +++ b/web/index.txt.in @@ -155,7 +155,6 @@ kind. [More accurate]: http://code.google.com/p/pandoc/wiki/PandocVsMarkdownPl [much faster]: http://code.google.com/p/pandoc/wiki/Benchmarks -[ASCIIMathML]: http://www1.chapman.edu/~jipsen/mathml/asciimath.html [John MacFarlane]: http://johnmacfarlane.net/ [markdown]: http://daringfireball.net/projects/markdown/ |