f53fb55 · typeable/pandoc

git.iko.soy/typeable/pandoc

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Support for display math; changed ASCIIMathML -> LaTeXMathML:

f53fb55fiddlosopher18 years ago

Main.hs+3−3

compare with master

unifiedsplit

@@ -249,12 +249,12 @@ options =

249 (\opt -> return opt { optSmart = True }))

250 "" -- "Use smart quotes, dashes, and ellipses"

251

252− , Option "m" ["asciimathml"]

252+ , Option "m" ["latexmathml", "asciimathml"]

253 (OptArg

254 (\arg opt -> return opt { optHTMLMathMethod =

255− ASCIIMathML arg })

255+ LaTeXMathML arg })

256 "URL")

257− "" -- "Use ASCIIMathML script in html output"

257+ "" -- "Use LaTeXMathML script in html output"

258

259 , Option "" ["mimetex"]

260 (OptArg

README+10−10

@@ -310,27 +310,27 @@ For further documentation, see the `pandoc(1)` man page.

310 `markdown`. It is selected automatically when the output format is

311 `latex` or `context`.)

312

313−`-m`*[url]* or `--asciimathml`*[=url]*

313+`-m`*[url]* or `--latexmathml`*[=url]*

314−: causes `pandoc` to use Peter Jipsen's [ASCIIMathML] script to display

314+: causes `pandoc` to use the [LaTeXMathML] script to display

315− TeX math in HTML or S5. If a local copy of `ASCIIMathML.js` is

315+ TeX math in HTML or S5. If a local copy of `LaTeXMathML.js` is

316 available on the webserver where the page will be viewed, provide a

317 *url* and a link will be inserted in the generated HTML or S5. If

318 no *url* is provided, the contents of the script will be inserted

319 directly; this provides portability at the price of efficiency. If

320 you plan to use math on several pages, it is much better to link to

321− a copy of `ASCIIMathML.js`, which can be cached. (See `--gladtex`

321+ a copy of `LaTeXMathML.js`, which can be cached. (See `--gladtex`

322 and `--mimetex` for alternative ways of dealing with math in HTML.)

323

324`--gladtex`*[=url]*

325: causes TeX formulas to be enclosed in `<eq>` tags in HTML or S5 output.

326 This output can then be processed by [gladTeX] to produce links to

327− images with the typeset formulas. (See `--asciimathml` and

327+ images with the typeset formulas. (See `--latexmathml` and

328 `--mimetex` for alternative ways of dealing with math in HTML.)

329

330`--mimetex`*[=url]*

331: causes TeX formulas to be replaced by `<img>` tags linking to the

332 [mimeTeX] CGI script, which will produce images with the typeset

333− formulas. (See `--asciimathml` and `--mimetex` for alternative

333+ formulas. (See `--latexmathml` and `--mimetex` for alternative

334 ways of dealing with math in HTML.)

335

336`-i` or `--incremental`

@@ -386,7 +386,7 @@ For further documentation, see the `pandoc(1)` man page.

386: prints a usage message to STDERR.

387

388[Smartypants]: http://daringfireball.net/projects/smartypants/

389−[ASCIIMathML]: http://www1.chapman.edu/~jipsen/mathml/asciimath.html

389+[LaTeXMathML]: http://math.etsu.edu/LaTeXMathML/

390[gladTeX]: http://www.math.uio.no/~martingu/gladtex/index.html

391[mimeTeX]: http://www.forkosh.com/mimetex.html

392

@@ -930,11 +930,11 @@ command-line options selected:

930 are put inside a `span` with `class="math"`, so that they may be

931 styled differently from the surrounding text if needed.

932

933−2. If the `--asciimathml` option is used, TeX math will be displayed

933+2. If the `--latexmathml` option is used, TeX math will be displayed

934− between $ characters, as in LaTeX, and the [ASCIIMathML] script will

934+ between $ characters, as in LaTeX, and the [LaTeXMathML] script will

935 be used to render it as formulas. (This trick does not work in all

936 browsers, but it works in Firefox. In browsers that do not support

937− ASCIIMathML, TeX math will appear verbatim between $ characters.)

937+ LaTeXMathML, TeX math will appear verbatim between $ characters.)

938

9393. If the `--mimetex` option is used, the [mimeTeX] CGI script will

940 be called to generate images for each TeX formula. This should

Text/Pandoc/ASCIIMathML.hsdeleted−14

@@ -1,14 +0,0 @@

1−{-# LANGUAGE CPP, TemplateHaskell #-}

2−-- | Definitions for use of ASCIIMathML in HTML.

3−-- (See <http://www1.chapman.edu/~jipsen/mathml/asciimath.html>.)

4−module Text.Pandoc.ASCIIMathML ( asciiMathMLScript ) where

5−import Text.Pandoc.TH ( contentsOf )

6−import System.FilePath ( (</>) )

7−

8−-- | String containing ASCIIMathML javascript.

9−asciiMathMLScript :: String

10−#ifndef __HADDOCK__

11−asciiMathMLScript = "<script type=\"text/javascript\">\n" ++

12− $(contentsOf $ "data" </> "ASCIIMathML.js.comment") ++

13− $(contentsOf $ "data" </> "ASCIIMathML.js.packed") ++ "</script>\n"

14−#endif

Text/Pandoc/Definition.hs+4−1

@@ -98,6 +98,9 @@ data QuoteType = SingleQuote | DoubleQuote deriving (Show, Eq, Read, Typeable, D

98-- | Link target (URL, title).

99type Target = (String, String)

100

101+-- | Type of math element (display or inline).

102+data MathType = DisplayMath | InlineMath deriving (Show, Eq, Read, Typeable, Data)

103+

101-- | Inline elements.

104-- | Inline elements.

102data Inline

105data Inline

103 = Str String -- ^ Text (string)

106 = Str String -- ^ Text (string)

@@ -116,7 +119,7 @@ data Inline

116 | Apostrophe -- ^ Apostrophe

119 | Apostrophe -- ^ Apostrophe

117 | Ellipses -- ^ Ellipses

120 | Ellipses -- ^ Ellipses

118 | LineBreak -- ^ Hard line break

121 | LineBreak -- ^ Hard line break

119− | Math String -- ^ TeX math (literal)

122+ | Math MathType String -- ^ TeX math (literal)

120 | TeX String -- ^ LaTeX code (literal)

123 | TeX String -- ^ LaTeX code (literal)

121 | HtmlInline String -- ^ HTML code (literal)

124 | HtmlInline String -- ^ HTML code (literal)

122 | Link [Inline] Target -- ^ Hyperlink: text (list of inlines), target

125 | Link [Inline] Target -- ^ Hyperlink: text (list of inlines), target

Text/Pandoc/LaTeXMathML.hsnew file+14

@@ -0,0 +1,14 @@

1+{-# LANGUAGE CPP, TemplateHaskell #-}

2+-- | Definitions for use of LaTeXMathML in HTML.

3+-- (See http://math.etsu.edu/LaTeXMathML/)

4+module Text.Pandoc.LaTeXMathML ( latexMathMLScript ) where

5+import Text.Pandoc.TH ( contentsOf )

6+import System.FilePath ( (</>) )

8+-- | String containing LaTeXMathML javascript.

9+latexMathMLScript :: String

10+#ifndef __HADDOCK__

11+latexMathMLScript = "<script type=\"text/javascript\">\n" ++

12+ $(contentsOf $ "data" </> "LaTeXMathML.js.comment") ++

13+ $(contentsOf $ "data" </> "LaTeXMathML.js.packed") ++ "</script>\n"

14+#endif

Text/Pandoc/Readers/LaTeX.hs+25−36

@@ -153,7 +153,6 @@ block = choice [ hrule

153 , header

154 , list

155 , blockQuote

156− , mathBlock

157 , comment

156 , comment

158 , bibliographic

157 , bibliographic

159 , para

158 , para

@@ -218,26 +217,6 @@ blockQuote :: GenParser Char ParserState Block

218blockQuote = (environment "quote" <|> environment "quotation") >>~ spaces >>=

217blockQuote = (environment "quote" <|> environment "quotation") >>~ spaces >>=

219 return . BlockQuote

218 return . BlockQuote

220

219

221−--

222−-- math block

223−--

224−

225−mathBlock :: GenParser Char st Block

226−mathBlock = mathBlockWith (begin "equation") (end "equation") <|>

227− mathBlockWith (begin "displaymath") (end "displaymath") <|>

228− mathBlockWith (try $ string "\\[") (try $ string "\\]") <?>

229− "math block"

230−

231−mathBlockWith :: GenParser Char st t

232− -> GenParser Char st end

233− -> GenParser Char st Block

234−mathBlockWith start end' = try $ do

235− start

236− spaces

237− result <- manyTill anyChar end'

238− spaces

239− return $ BlockQuote [Para [Math result]]

240−

241--

220--

242-- list blocks

221-- list blocks

243--

222--

@@ -683,21 +662,31 @@ endline = try $ newline >> notFollowedBy blankline >> return Space

683

662

684-- math

663-- math

685math :: GenParser Char st Inline

664math :: GenParser Char st Inline

686−math = math1 <|> math2 <?> "math"

665+math = (math3 >>= return . Math DisplayMath)

687−

666+ <|> (math1 >>= return . Math InlineMath)

667+ <|> (math2 >>= return . Math InlineMath)

668+ <|> (math4 >>= return . Math DisplayMath)

669+ <|> (math5 >>= return . Math DisplayMath)

670+ <|> (math6 >>= return . Math DisplayMath)

671+ <?> "math"

672+

688−math1 :: GenParser Char st Inline

673+math1 :: GenParser Char st String

689−math1 = try $ do

674+math1 = try $ char '$' >> manyTill anyChar (char '$')

690− char '$'

675+

691− result <- many (noneOf "$")

676+math2 :: GenParser Char st String

692− char '$'

677+math2 = try $ string "\$" >> manyTill anyChar (try $ string "\$")

693− return $ Math result

678+

694−

679+math3 :: GenParser Char st String

680+math3 = try $ char '$' >> math1 >>~ char '$'

681+

682+math4 :: GenParser Char st String

683+math4 = try $ (begin "equation") >> spaces >> manyTill anyChar (end "equation")

684+

695−math2 :: GenParser Char st Inline

685+math5 :: GenParser Char st String

696−math2 = try $ do

686+math5 = try $ (begin "displaymath") >> spaces >> manyTill anyChar (end "displaymath")

697− string "\\("

687+

698− result <- many (noneOf "$")

688+math6 :: GenParser Char st String

699− string "\\)"

689+math6 = try $ (string "\\[") >> spaces >> manyTill anyChar (try $ string "\\]")

700− return $ Math result

701

690

702--

691--

703-- links and images

692-- links and images

Text/Pandoc/Readers/Markdown.hs+9−2

@@ -870,14 +870,21 @@ mathWord = many1 ((noneOf " \t\n\\$") <|>

870 (try (char '\\') >>~ notFollowedBy (char '$')))

871

872math :: GenParser Char ParserState Inline

873+math = (mathDisplay >>= return . Math DisplayMath)

874+ <|> (mathInline >>= return . Math InlineMath)

875+

876+mathDisplay :: GenParser Char ParserState String

877+mathDisplay = try $ char '$' >> mathInline >>~ char '$' >>~ notFollowedBy digit

878+

879+mathInline :: GenParser Char ParserState String

873−math = try $ do

880+mathInline = try $ do

874 failIfStrict

881 failIfStrict

875 char '$'

882 char '$'

876 notFollowedBy space

883 notFollowedBy space

877 words' <- sepBy1 mathWord (many1 (spaceChar <|> (newline >>~ notFollowedBy' blankline)))

884 words' <- sepBy1 mathWord (many1 (spaceChar <|> (newline >>~ notFollowedBy' blankline)))

878 char '$'

885 char '$'

879 notFollowedBy digit

886 notFollowedBy digit

880− return $ Math $ joinWithSep " " words'

887+ return $ joinWithSep " " words'

881

888

882emph :: GenParser Char ParserState Inline

889emph :: GenParser Char ParserState Inline

883emph = ((enclosed (char '*') (notFollowedBy' strong >> char '*') inline) <|>

890emph = ((enclosed (char '*') (notFollowedBy' strong >> char '*') inline) <|>

Text/Pandoc/Shared.hs+3−3

@@ -715,8 +715,8 @@ refsMatch ((Quoted t x):restx) ((Quoted u y):resty) =

715 t == u && refsMatch x y && refsMatch restx resty

716refsMatch ((Code x):restx) ((Code y):resty) =

717 ((map toLower x) == (map toLower y)) && refsMatch restx resty

718−refsMatch ((Math x):restx) ((Math y):resty) =

718+refsMatch ((Math t x):restx) ((Math u y):resty) =

719− ((map toLower x) == (map toLower y)) && refsMatch restx resty

719+ ((map toLower x) == (map toLower y)) && t == u && refsMatch restx resty

720refsMatch ((TeX x):restx) ((TeX y):resty) =

721 ((map toLower x) == (map toLower y)) && refsMatch restx resty

722refsMatch ((HtmlInline x):restx) ((HtmlInline y):resty) =

@@ -876,7 +876,7 @@ isHeaderBlock _ = False

876--

877

878data HTMLMathMethod = PlainMath

879− | ASCIIMathML (Maybe String) -- url of ASCIIMathML.js

879+ | LaTeXMathML (Maybe String) -- url of LaTeXMathML.js

880 | GladTeX

881 | MimeTeX String -- url of mimetex.cgi

882 deriving (Show, Read, Eq)

Text/Pandoc/Writers/ConTeXt.hs+2−1

@@ -272,7 +272,8 @@ inlineToConTeXt EmDash = return $ text "---"

272inlineToConTeXt EnDash = return $ text "--"

273inlineToConTeXt Ellipses = return $ text "\\ldots{}"

274inlineToConTeXt (Str str) = return $ text $ stringToConTeXt str

275−inlineToConTeXt (Math str) = return $ char '$' <> text str <> char '$'

275+inlineToConTeXt (Math InlineMath str) = return $ char '$' <> text str <> char '$'

276+inlineToConTeXt (Math DisplayMath str) = return $ text "\\startformula " <> text str <> text " \\stopformula"

276inlineToConTeXt (TeX str) = return $ text str

277inlineToConTeXt (TeX str) = return $ text str

277inlineToConTeXt (HtmlInline _) = return empty

278inlineToConTeXt (HtmlInline _) = return empty

278inlineToConTeXt (LineBreak) = return $ text "\\crlf\n"

279inlineToConTeXt (LineBreak) = return $ text "\\crlf\n"

Text/Pandoc/Writers/Docbook.hs+1−1

@@ -236,7 +236,7 @@ inlineToDocbook _ EmDash = text "—"

236inlineToDocbook _ EnDash = text "–"

237inlineToDocbook _ (Code str) =

238 inTagsSimple "literal" $ text (escapeStringForXML str)

239−inlineToDocbook opts (Math str) = inlinesToDocbook opts $ readTeXMath str

239+inlineToDocbook opts (Math _ str) = inlinesToDocbook opts $ readTeXMath str

240inlineToDocbook _ (TeX _) = empty

241inlineToDocbook _ (HtmlInline _) = empty

242inlineToDocbook _ LineBreak = text $ "<literallayout></literallayout>"

Text/Pandoc/Writers/HTML.hs+15−9

@@ -30,7 +30,7 @@ Conversion of 'Pandoc' documents to HTML.

30-}

31module Text.Pandoc.Writers.HTML ( writeHtml , writeHtmlString ) where

32import Text.Pandoc.Definition

33−import Text.Pandoc.ASCIIMathML

33+import Text.Pandoc.LaTeXMathML

34import Text.Pandoc.CharacterReferences ( decodeCharacterReferences )

35import Text.Pandoc.Shared

36import Text.Pandoc.Readers.TeXMath

@@ -123,9 +123,9 @@ writeHtml opts (Pandoc (Meta tit authors date) blocks) =

123 '\n':(unlines $ S.toList cssLines)

124 math = if stMath newstate

125 then case writerHTMLMathMethod opts of

126− ASCIIMathML Nothing ->

126+ LaTeXMathML Nothing ->

127− primHtml asciiMathMLScript

127+ primHtml latexMathMLScript

128− ASCIIMathML (Just url) ->

128+ LaTeXMathML (Just url) ->

129 script !

130 [src url, thetype "text/javascript"] $

131 noHtml

@@ -268,7 +268,7 @@ inlineListToIdentifier' (x:xs) =

268 Apostrophe -> ""

269 Ellipses -> ""

270 LineBreak -> "-"

271− Math _ -> ""

271+ Math _ _ -> ""

272 TeX _ -> ""

273 HtmlInline _ -> ""

274 Link lst _ -> inlineListToIdentifier' lst

@@ -455,10 +455,13 @@ inlineToHtml opts inline =

455 primHtmlChar "rdquo")

456 in do contents <- inlineListToHtml opts lst

457 return $ leftQuote +++ contents +++ rightQuote

458+ (Math t str) ->

458− (Math str) -> modify (\st -> st {stMath = True}) >>

459+ modify (\st -> st {stMath = True}) >>

459 (case writerHTMLMathMethod opts of

460 (case writerHTMLMathMethod opts of

460− ASCIIMathML _ ->

461+ LaTeXMathML _ ->

461− return $ stringToHtml ("$" ++ str ++ "$")

462+ return $ if t == InlineMath

463+ then primHtml ("$" ++ str ++ "$")

464+ else primHtml ("$$" ++ str ++ "$$")

462 MimeTeX url ->

465 MimeTeX url ->

463 return $ image ! [src (url ++ "?" ++ str),

466 return $ image ! [src (url ++ "?" ++ str),

464 alt str, title str]

467 alt str, title str]

@@ -467,7 +470,10 @@ inlineToHtml opts inline =

467 PlainMath ->

470 PlainMath ->

468 inlineListToHtml opts (readTeXMath str) >>=

471 inlineListToHtml opts (readTeXMath str) >>=

469 return . (thespan ! [theclass "math"]))

472 return . (thespan ! [theclass "math"]))

473+ (TeX str) -> case writerHTMLMathMethod opts of

474+ LaTeXMathML _ -> do modify (\st -> st {stMath = True})

475+ return $ primHtml str

470− (TeX _) -> return noHtml

476+ _ -> return noHtml

471 (HtmlInline str) -> return $ primHtml str

477 (HtmlInline str) -> return $ primHtml str

472 (Link [Code str] (s,_)) | "mailto:" `isPrefixOf` s ->

478 (Link [Code str] (s,_)) | "mailto:" `isPrefixOf` s ->

473 return $ obfuscateLink opts str s

479 return $ obfuscateLink opts str s

Text/Pandoc/Writers/LaTeX.hs+2−1

@@ -299,7 +299,8 @@ inlineToLaTeX EmDash = return $ text "---"

299inlineToLaTeX EnDash = return $ text "--"

300inlineToLaTeX Ellipses = return $ text "\\ldots{}"

301inlineToLaTeX (Str str) = return $ text $ stringToLaTeX str

302−inlineToLaTeX (Math str) = return $ char '$' <> text str <> char '$'

302+inlineToLaTeX (Math InlineMath str) = return $ char '$' <> text str <> char '$'

303+inlineToLaTeX (Math DisplayMath str) = return $ text "\\[" <> text str <> text "\\]"

303inlineToLaTeX (TeX str) = return $ text str

304inlineToLaTeX (TeX str) = return $ text str

304inlineToLaTeX (HtmlInline _) = return empty

305inlineToLaTeX (HtmlInline _) = return empty

305inlineToLaTeX (LineBreak) = return $ text "\\\\"

306inlineToLaTeX (LineBreak) = return $ text "\\\\"

Text/Pandoc/Writers/Man.hs+4−1

@@ -272,7 +272,10 @@ inlineToMan _ Ellipses = return $ text "\\&..."

272inlineToMan _ (Code str) =

273 return $ text $ "\\f[B]" ++ escapeCode str ++ "\\f[]"

274inlineToMan _ (Str str) = return $ text $ escapeString str

275+inlineToMan opts (Math InlineMath str) = inlineToMan opts (Code str)

276+inlineToMan opts (Math DisplayMath str) = do

275−inlineToMan opts (Math str) = inlineToMan opts (Code str)

277+ contents <- inlineToMan opts (Code str)

278+ return $ text ".RS" $$ contents $$ text ".RE"

276inlineToMan _ (TeX _) = return empty

279inlineToMan _ (TeX _) = return empty

277inlineToMan _ (HtmlInline str) = return $ text $ escapeCode str

280inlineToMan _ (HtmlInline str) = return $ text $ escapeCode str

278inlineToMan _ (LineBreak) = return $ text "\n.PD 0\n.P\n.PD\n"

281inlineToMan _ (LineBreak) = return $ text "\n.PD 0\n.P\n.PD\n"

Text/Pandoc/Writers/Markdown.hs+2−1

@@ -337,7 +337,8 @@ inlineToMarkdown _ (Code str) =

337 spacer = if (longest == 0) then "" else " " in

338 return $ text (marker ++ spacer ++ str ++ spacer ++ marker)

339inlineToMarkdown _ (Str str) = return $ text $ escapeString str

340−inlineToMarkdown _ (Math str) = return $ char '$' <> text str <> char '$'

340+inlineToMarkdown _ (Math InlineMath str) = return $ char '$' <> text str <> char '$'

341+inlineToMarkdown _ (Math DisplayMath str) = return $ text "$$" <> text str <> text "$$"

341inlineToMarkdown _ (TeX str) = return $ text str

342inlineToMarkdown _ (TeX str) = return $ text str

342inlineToMarkdown _ (HtmlInline str) = return $ text str

343inlineToMarkdown _ (HtmlInline str) = return $ text str

343inlineToMarkdown _ (LineBreak) = return $ text " \n"

344inlineToMarkdown _ (LineBreak) = return $ text " \n"

Text/Pandoc/Writers/MediaWiki.hs+1−1

@@ -357,7 +357,7 @@ inlineToMediaWiki _ (Code str) =

357

358inlineToMediaWiki _ (Str str) = return $ escapeString str

359

360−inlineToMediaWiki _ (Math str) = return $ "<math>" ++ str ++ "</math>"

360+inlineToMediaWiki _ (Math _ str) = return $ "<math>" ++ str ++ "</math>"

361 -- note: str should NOT be escaped

362

363inlineToMediaWiki _ (TeX _) = return ""

Text/Pandoc/Writers/OpenDocument.hs+1−1

@@ -379,7 +379,7 @@ inlineToOpenDocument o ils

379 | SmallCaps l <- ils = withTextStyle SmallC $ inlinesToOpenDocument o l

380 | Quoted t l <- ils = inQuotes t <$> inlinesToOpenDocument o l

381 | Code s <- ils = preformatted s

382− | Math s <- ils = inlinesToOpenDocument o (readTeXMath s)

382+ | Math _ s <- ils = inlinesToOpenDocument o (readTeXMath s)

383 | Cite _ l <- ils = inlinesToOpenDocument o l

384 | TeX s <- ils = preformatted s

385 | HtmlInline s <- ils = preformatted s

Text/Pandoc/Writers/RST.hs+4−2

@@ -291,14 +291,16 @@ inlineToRST Apostrophe = return $ char '\''

291inlineToRST Ellipses = return $ text "..."

292inlineToRST (Code str) = return $ text $ "``" ++ str ++ "``"

293inlineToRST (Str str) = return $ text $ escapeString str

294−inlineToRST (Math str) = do

294+inlineToRST (Math t str) = do

295 includes <- get >>= (return . stIncludes)

296 let rawMathRole = ".. role:: math(raw)\n" ++

297 " :format: html latex\n"

298 if not (rawMathRole `elem` includes)

299 then modify $ \st -> st { stIncludes = rawMathRole : includes }

300 else return ()

301+ return $ if t == InlineMath

301− return $ text $ ":math:`$" ++ str ++ "$`"

302+ then text $ ":math:`$" ++ str ++ "$`"

303+ else text $ ":math:`$$" ++ str ++ "$$`"

302inlineToRST (TeX _) = return empty

304inlineToRST (TeX _) = return empty

303inlineToRST (HtmlInline _) = return empty

305inlineToRST (HtmlInline _) = return empty

304inlineToRST (LineBreak) = do

306inlineToRST (LineBreak) = do

Text/Pandoc/Writers/RTF.hs+1−1

@@ -275,7 +275,7 @@ inlineToRTF EmDash = "\\u8212-"

275inlineToRTF EnDash = "\\u8211-"

276inlineToRTF (Code str) = "{\\f1 " ++ (codeStringToRTF str) ++ "}"

277inlineToRTF (Str str) = stringToRTF str

278−inlineToRTF (Math str) = inlineListToRTF $ readTeXMath str

278+inlineToRTF (Math _ str) = inlineListToRTF $ readTeXMath str

279inlineToRTF (Cite _ lst) = inlineListToRTF lst

280inlineToRTF (TeX _) = ""

281inlineToRTF (HtmlInline _) = ""

Text/Pandoc/Writers/Texinfo.hs+3−2

@@ -30,6 +30,7 @@ Conversion of 'Pandoc' format into Texinfo.

30module Text.Pandoc.Writers.Texinfo ( writeTexinfo ) where

31import Text.Pandoc.Definition

32import Text.Pandoc.Shared

33+import Text.Pandoc.Readers.TeXMath

33import Text.Printf ( printf )

34import Text.Printf ( printf )

34import Data.List ( isSuffixOf )

35import Data.List ( isSuffixOf )

35import Data.Char ( chr, ord )

36import Data.Char ( chr, ord )

@@ -364,7 +365,7 @@ inlineForNode EnDash = return $ text "--"

364inlineForNode Apostrophe = return $ char '\''

365inlineForNode Apostrophe = return $ char '\''

365inlineForNode Ellipses = return $ text "..."

366inlineForNode Ellipses = return $ text "..."

366inlineForNode LineBreak = return empty

367inlineForNode LineBreak = return empty

367−inlineForNode (Math _) = return empty

368+inlineForNode (Math _ str) = inlineListForNode $ readTeXMath str

368inlineForNode (TeX _) = return empty

369inlineForNode (TeX _) = return empty

369inlineForNode (HtmlInline _) = return empty

370inlineForNode (HtmlInline _) = return empty

370inlineForNode (Link lst _) = inlineListForNode lst

371inlineForNode (Link lst _) = inlineListForNode lst

@@ -437,7 +438,7 @@ inlineToTexinfo EmDash = return $ text "---"

437inlineToTexinfo EnDash = return $ text "--"

438inlineToTexinfo EnDash = return $ text "--"

438inlineToTexinfo Ellipses = return $ text "@dots{}"

439inlineToTexinfo Ellipses = return $ text "@dots{}"

439inlineToTexinfo (Str str) = return $ text (stringToTexinfo str)

440inlineToTexinfo (Str str) = return $ text (stringToTexinfo str)

440−inlineToTexinfo (Math str) = return $ inCmd "math" $ text str

441+inlineToTexinfo (Math _ str) = return $ inCmd "math" $ text str

441inlineToTexinfo (TeX str) = return $ text "@tex" $$ text str $$ text "@end tex"

442inlineToTexinfo (TeX str) = return $ text "@tex" $$ text str $$ text "@end tex"

442inlineToTexinfo (HtmlInline _) = return empty

443inlineToTexinfo (HtmlInline _) = return empty

443inlineToTexinfo (LineBreak) = return $ text "@*"

444inlineToTexinfo (LineBreak) = return $ text "@*"

data/ASCIIMathML.jsdeleted−3363

@@ -1,3363 +0,0 @@

1−/*

2−ASCIIMathML.js

3−==============

4−This file contains JavaScript functions to convert ASCII math notation

5−and LaTeX to Presentation MathML. Simple graphics commands are also

6−translated to SVG images. The conversion is done while the (X)HTML

7−page loads, and should work with Firefox/Mozilla/Netscape 7+ and Internet

8−Explorer 6/7 + MathPlayer (http://www.dessci.com/en/products/mathplayer/) +

9−Adobe SVGview 3.03 (http://www.adobe.com/svg/viewer/install/).

10−

11−Just add the next line to your (X)HTML page with this file in the same folder:

12−

13−<script type="text/javascript" src="ASCIIMathML.js"></script>

14−

15−(using the graphics in IE also requires the file "d.svg" in the same folder).

16−This is a convenient and inexpensive solution for authoring MathML and SVG.

17−

18−Version 2.0.9 Nov 3, 2007, (c) Peter Jipsen http://www.chapman.edu/~jipsen

19−This version extends ASCIIMathML.js with LaTeXMathML.js and ASCIIsvg.js.

20−Latest version at http://www.chapman.edu/~jipsen/mathml/ASCIIMathML.js

21−If you use it on a webpage, please send the URL to jipsen@chapman.edu

22−

23−The LaTeXMathML modifications were made by Douglas Woodall, June 2006.

24−(for details see header on the LaTeXMathML part in middle of file)

25−Extensive clean-up and improvements by Paulo Soares, Oct 2007.

26−

27−This program is free software; you can redistribute it and/or modify

28−it under the terms of the GNU Lesser General Public License as published by

29−the Free Software Foundation; either version 2.1 of the License, or (at

30−your option) any later version.

31−

32−This program is distributed in the hope that it will be useful, but WITHOUT

33−ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS

34−FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License

35−(at http://www.gnu.org/licences/lgpl.html) for more details.

36−*/

37−

38−var mathcolor = ""; // change it to "" (to inherit) or another color

39−var mathfontsize = "1em"; // change to e.g. 1.2em for larger math

40−var mathfontfamily = "serif"; // change to "" to inherit (works in IE)

41− // or another family (e.g. "arial")

42−var automathrecognize = false; // writing "amath" on page makes this true

43−var checkForMathML = true; // check if browser can display MathML

44−var notifyIfNoMathML = true; // display note at top if no MathML capability

45−var alertIfNoMathML = false; // show alert box if no MathML capability

46−var translateOnLoad = true; // set to false to do call translators from js

47−var translateLaTeX = true; // false to preserve $..$, $$..$$

48−var translateLaTeXformatting = true; // false to preserve \emph,\begin{},\end{}

49−var translateASCIIMath = true; // false to preserve `..`

50−var translateASCIIsvg = true; // false to preserve agraph.., \begin{graph}..

51−var avoidinnerHTML = false; // set true if assigning to innerHTML gives error

52−var displaystyle = true; // puts limits above and below large operators

53−var showasciiformulaonhover = true; // helps students learn ASCIIMath

54−var decimalsign = "."; // change to "," if you like, beware of `(1,2)`!

55−var AMdelimiter1 = "`", AMescape1 = "\\\\`"; // can use other characters

56−var AMdocumentId = "wikitext" // PmWiki element containing math (default=body)

57−var checkforprocessasciimathinmoodle = false; // true for systems like Moodle

58−var dsvglocation = ""; // path to d.svg (blank if same as ASCIIMathML.js loc)

59−

60−/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++*/

61−

62−var isIE = document.createElementNS==null;

63−var noMathML = false, translated = false;

64−

65−if (isIE) { // avoid adding MathPlayer info explicitly to each webpage

66− document.write("<object id=\"mathplayer\"\

67− classid=\"clsid:32F66A20-7614-11D4-BD11-00104BD3F987\"></object>");

68− document.write("<?import namespace=\"m\" implementation=\"#mathplayer\"?>");

69−}

70−

71−// Add a stylesheet, replacing any previous custom stylesheet (adapted from TW)

72−function setStylesheet(s) {

73− var id = "AMMLcustomStyleSheet";

74− var n = document.getElementById(id);

75− if(document.createStyleSheet) {

76− // Test for IE's non-standard createStyleSheet method

77− if(n)

78− n.parentNode.removeChild(n);

79− // This failed without the  

80− document.getElementsByTagName("head")[0].insertAdjacentHTML("beforeEnd"," <style id='" + id + "'>" + s + "</style>");

81− } else {

82− if(n) {

83− n.replaceChild(document.createTextNode(s),n.firstChild);

84− } else {

85− n = document.createElement("style");

86− n.type = "text/css";

87− n.id = id;

88− n.appendChild(document.createTextNode(s));

89− document.getElementsByTagName("head")[0].appendChild(n);

90− }

91− }

92−}

93−

94−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\}");

95−

96−function init(){

97− var msg, warnings = new Array();

98− if (document.getElementById==null){

99− alert("This webpage requires a recent browser such as Mozilla Firefox/Netscape 7+ or Internet Explorer 6+ with MathPlayer and Adobe SVGviewer");

100− return null;

101− }

102− if (checkForMathML && (msg = checkMathML())) warnings.push(msg);

103− if (checkIfSVGavailable && (msg = checkSVG())) warnings.push(msg);

104− if (warnings.length>0) displayWarnings(warnings);

105− if (!noMathML) initSymbols();

106− return true;

107−}

108−

109−function checkMathML(){

110− if (navigator.appName.slice(0,8)=="Netscape")

111− if (navigator.appVersion.slice(0,1)>="5") noMathML = null;

112− else noMathML = true;

113− else if (navigator.appName.slice(0,9)=="Microsoft")

114− try {

115− var ActiveX = new ActiveXObject("MathPlayer.Factory.1");

116− noMathML = null;

117− } catch (e) {

118− noMathML = true;

119− }

120− else noMathML = true;

121−//noMathML = true; //uncomment to check

122− if (noMathML && notifyIfNoMathML) {

123− var msg = "To view the ASCIIMathML notation use Internet Explorer + MathPlayer or Mozilla Firefox 2.0 or later.";

124− if (alertIfNoMathML)

125− alert(msg);

126− else return msg;

127− }

128−}

129−

130−function hideWarning(){

131− var body = document.getElementsByTagName("body")[0];

132− body.removeChild(document.getElementById('AMMLwarningBox'));

133− body.onclick = null;

134−}

135−

136−function displayWarnings(warnings) {

137− var i, frag, nd = createElementXHTML("div");

138− var body = document.getElementsByTagName("body")[0];

139− body.onclick=hideWarning;

140− nd.id = 'AMMLwarningBox';

141− for (i=0; i<warnings.length; i++) {

142− frag = createElementXHTML("div");

143− frag.appendChild(document.createTextNode(warnings[i]));

144− frag.style.paddingBottom = "1.0em";

145− nd.appendChild(frag);

146− }

147− nd.appendChild(createElementXHTML("p"));

148− nd.appendChild(document.createTextNode("For instructions see the "));

149− var an = createElementXHTML("a");

150− an.appendChild(document.createTextNode("ASCIIMathML"));

151− an.setAttribute("href","http://www.chapman.edu/~jipsen/asciimath.html");

152− nd.appendChild(an);

153− nd.appendChild(document.createTextNode(" homepage"));

154− an = createElementXHTML("div");

155− an.id = 'AMMLcloseDiv';

156− an.appendChild(document.createTextNode('(click anywhere to close this warning)'));

157− nd.appendChild(an);

158− var body = document.getElementsByTagName("body")[0];

159− body.insertBefore(nd,body.childNodes[0]);

160−}

161−

162−function translate(spanclassAM) {

163− if (!translated) { // run this only once

164− translated = true;

165− var body = document.getElementsByTagName("body")[0];

166− var processN = document.getElementById(AMdocumentId);

167− if (translateLaTeX) LMprocessNode((processN!=null?processN:body));

168− if (translateASCIIMath) AMprocessNode((processN!=null?processN:body), false, spanclassAM);

169− }

170−}

171−

172−function createElementXHTML(t) {

173− if (isIE) return document.createElement(t);

174− else return document.createElementNS("http://www.w3.org/1999/xhtml",t);

175−}

176−

177−function createMmlNode(t,frag) {

178− if (isIE) var node = document.createElement("m:"+t);

179− else var node = document.createElementNS("http://www.w3.org/1998/Math/MathML",t);

180− if (frag) node.appendChild(frag);

181− return node;

182−}

183−

184−// character lists for Mozilla/Netscape fonts

185−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];

186−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];

187−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];

188−

189−var CONST = 0, UNARY = 1, BINARY = 2, INFIX = 3, LEFTBRACKET = 4,

190− RIGHTBRACKET = 5, SPACE = 6, UNDEROVER = 7, DEFINITION = 8,

191− LEFTRIGHT = 9, TEXT = 10, BIG = 11, LONG = 12, STRETCHY = 13,

192− MATRIX = 14;; // token types

193−

194−var AMquote = {input:"\"", tag:"mtext", output:"mbox", tex:null, ttype:TEXT};

195−

196−var AMsymbols = [

197−//some greek symbols

198−{input:"alpha", tag:"mi", output:"\u03B1", tex:null, ttype:CONST},

199−{input:"beta", tag:"mi", output:"\u03B2", tex:null, ttype:CONST},

200−{input:"chi", tag:"mi", output:"\u03C7", tex:null, ttype:CONST},

201−{input:"delta", tag:"mi", output:"\u03B4", tex:null, ttype:CONST},

202−{input:"Delta", tag:"mo", output:"\u0394", tex:null, ttype:CONST},

203−{input:"epsi", tag:"mi", output:"\u03B5", tex:"epsilon", ttype:CONST},

204−{input:"varepsilon", tag:"mi", output:"\u025B", tex:null, ttype:CONST},

205−{input:"eta", tag:"mi", output:"\u03B7", tex:null, ttype:CONST},

206−{input:"gamma", tag:"mi", output:"\u03B3", tex:null, ttype:CONST},

207−{input:"Gamma", tag:"mo", output:"\u0393", tex:null, ttype:CONST},

208−{input:"iota", tag:"mi", output:"\u03B9", tex:null, ttype:CONST},

209−{input:"kappa", tag:"mi", output:"\u03BA", tex:null, ttype:CONST},

210−{input:"lambda", tag:"mi", output:"\u03BB", tex:null, ttype:CONST},

211−{input:"Lambda", tag:"mo", output:"\u039B", tex:null, ttype:CONST},

212−{input:"mu", tag:"mi", output:"\u03BC", tex:null, ttype:CONST},

213−{input:"nu", tag:"mi", output:"\u03BD", tex:null, ttype:CONST},

214−{input:"omega", tag:"mi", output:"\u03C9", tex:null, ttype:CONST},

215−{input:"Omega", tag:"mo", output:"\u03A9", tex:null, ttype:CONST},

216−{input:"phi", tag:"mi", output:"\u03C6", tex:null, ttype:CONST},

217−{input:"varphi", tag:"mi", output:"\u03D5", tex:null, ttype:CONST},

218−{input:"Phi", tag:"mo", output:"\u03A6", tex:null, ttype:CONST},

219−{input:"pi", tag:"mi", output:"\u03C0", tex:null, ttype:CONST},

220−{input:"Pi", tag:"mo", output:"\u03A0", tex:null, ttype:CONST},

221−{input:"psi", tag:"mi", output:"\u03C8", tex:null, ttype:CONST},

222−{input:"Psi", tag:"mi", output:"\u03A8", tex:null, ttype:CONST},

223−{input:"rho", tag:"mi", output:"\u03C1", tex:null, ttype:CONST},

224−{input:"sigma", tag:"mi", output:"\u03C3", tex:null, ttype:CONST},

225−{input:"Sigma", tag:"mo", output:"\u03A3", tex:null, ttype:CONST},

226−{input:"tau", tag:"mi", output:"\u03C4", tex:null, ttype:CONST},

227−{input:"theta", tag:"mi", output:"\u03B8", tex:null, ttype:CONST},

228−{input:"vartheta", tag:"mi", output:"\u03D1", tex:null, ttype:CONST},

229−{input:"Theta", tag:"mo", output:"\u0398", tex:null, ttype:CONST},

230−{input:"upsilon", tag:"mi", output:"\u03C5", tex:null, ttype:CONST},

231−{input:"xi", tag:"mi", output:"\u03BE", tex:null, ttype:CONST},

232−{input:"Xi", tag:"mo", output:"\u039E", tex:null, ttype:CONST},

233−{input:"zeta", tag:"mi", output:"\u03B6", tex:null, ttype:CONST},

234−

235−//binary operation symbols

236−//{input:"-", tag:"mo", output:"\u0096", tex:null, ttype:CONST},

237−{input:"*", tag:"mo", output:"\u22C5", tex:"cdot", ttype:CONST},

238−{input:"**", tag:"mo", output:"\u22C6", tex:"star", ttype:CONST},

239−{input:"//", tag:"mo", output:"/", tex:null, ttype:CONST},

240−{input:"\\\\", tag:"mo", output:"\\", tex:"backslash", ttype:CONST},

241−{input:"setminus", tag:"mo", output:"\\", tex:null, ttype:CONST},

242−{input:"xx", tag:"mo", output:"\u00D7", tex:"times", ttype:CONST},

243−{input:"-:", tag:"mo", output:"\u00F7", tex:"divide", ttype:CONST},

244−{input:"@", tag:"mo", output:"\u2218", tex:"circ", ttype:CONST},

245−{input:"o+", tag:"mo", output:"\u2295", tex:"oplus", ttype:CONST},

246−{input:"ox", tag:"mo", output:"\u2297", tex:"otimes", ttype:CONST},

247−{input:"o.", tag:"mo", output:"\u2299", tex:"odot", ttype:CONST},

248−{input:"sum", tag:"mo", output:"\u2211", tex:null, ttype:UNDEROVER},

249−{input:"prod", tag:"mo", output:"\u220F", tex:null, ttype:UNDEROVER},

250−{input:"^^", tag:"mo", output:"\u2227", tex:"wedge", ttype:CONST},

251−{input:"^^^", tag:"mo", output:"\u22C0", tex:"bigwedge", ttype:UNDEROVER},

252−{input:"vv", tag:"mo", output:"\u2228", tex:"vee", ttype:CONST},

253−{input:"vvv", tag:"mo", output:"\u22C1", tex:"bigvee", ttype:UNDEROVER},

254−{input:"nn", tag:"mo", output:"\u2229", tex:"cap", ttype:CONST},

255−{input:"nnn", tag:"mo", output:"\u22C2", tex:"bigcap", ttype:UNDEROVER},

256−{input:"uu", tag:"mo", output:"\u222A", tex:"cup", ttype:CONST},

257−{input:"uuu", tag:"mo", output:"\u22C3", tex:"bigcup", ttype:UNDEROVER},

258−

259−//binary relation symbols

260−{input:"!=", tag:"mo", output:"\u2260", tex:"ne", ttype:CONST},

261−{input:":=", tag:"mo", output:":=", tex:null, ttype:CONST},

262−{input:"lt", tag:"mo", output:"<", tex:null, ttype:CONST},

263−{input:"<=", tag:"mo", output:"\u2264", tex:"le", ttype:CONST},

264−{input:"lt=", tag:"mo", output:"\u2264", tex:"leq", ttype:CONST},

265−{input:">=", tag:"mo", output:"\u2265", tex:"ge", ttype:CONST},

266−{input:"geq", tag:"mo", output:"\u2265", tex:null, ttype:CONST},

267−{input:"-<", tag:"mo", output:"\u227A", tex:"prec", ttype:CONST},

268−{input:"-lt", tag:"mo", output:"\u227A", tex:null, ttype:CONST},

269−{input:">-", tag:"mo", output:"\u227B", tex:"succ", ttype:CONST},

270−{input:"-<=", tag:"mo", output:"\u2AAF", tex:"preceq", ttype:CONST},

271−{input:">-=", tag:"mo", output:"\u2AB0", tex:"succeq", ttype:CONST},

272−{input:"in", tag:"mo", output:"\u2208", tex:null, ttype:CONST},

273−{input:"!in", tag:"mo", output:"\u2209", tex:"notin", ttype:CONST},

274−{input:"sub", tag:"mo", output:"\u2282", tex:"subset", ttype:CONST},

275−{input:"sup", tag:"mo", output:"\u2283", tex:"supset", ttype:CONST},

276−{input:"sube", tag:"mo", output:"\u2286", tex:"subseteq", ttype:CONST},

277−{input:"supe", tag:"mo", output:"\u2287", tex:"supseteq", ttype:CONST},

278−{input:"-=", tag:"mo", output:"\u2261", tex:"equiv", ttype:CONST},

279−{input:"~=", tag:"mo", output:"\u2245", tex:"cong", ttype:CONST},

280−{input:"~~", tag:"mo", output:"\u2248", tex:"approx", ttype:CONST},

281−{input:"prop", tag:"mo", output:"\u221D", tex:"propto", ttype:CONST},

282−

283−//logical symbols

284−{input:"and", tag:"mtext", output:"and", tex:null, ttype:SPACE},

285−{input:"or", tag:"mtext", output:"or", tex:null, ttype:SPACE},

286−{input:"not", tag:"mo", output:"\u00AC", tex:"neg", ttype:CONST},

287−{input:"=>", tag:"mo", output:"\u21D2", tex:"implies", ttype:CONST},

288−{input:"if", tag:"mo", output:"if", tex:null, ttype:SPACE},

289−{input:"<=>", tag:"mo", output:"\u21D4", tex:"iff", ttype:CONST},

290−{input:"AA", tag:"mo", output:"\u2200", tex:"forall", ttype:CONST},

291−{input:"EE", tag:"mo", output:"\u2203", tex:"exists", ttype:CONST},

292−{input:"_|_", tag:"mo", output:"\u22A5", tex:"bot", ttype:CONST},

293−{input:"TT", tag:"mo", output:"\u22A4", tex:"top", ttype:CONST},

294−{input:"|--", tag:"mo", output:"\u22A2", tex:"vdash", ttype:CONST},

295−{input:"|==", tag:"mo", output:"\u22A8", tex:"models", ttype:CONST},

296−

297−//grouping brackets

298−{input:"(", tag:"mo", output:"(", tex:null, ttype:LEFTBRACKET},

299−{input:")", tag:"mo", output:")", tex:null, ttype:RIGHTBRACKET},

300−{input:"[", tag:"mo", output:"[", tex:null, ttype:LEFTBRACKET},

301−{input:"]", tag:"mo", output:"]", tex:null, ttype:RIGHTBRACKET},

302−{input:"{", tag:"mo", output:"{", tex:null, ttype:LEFTBRACKET},

303−{input:"}", tag:"mo", output:"}", tex:null, ttype:RIGHTBRACKET},

304−{input:"|", tag:"mo", output:"|", tex:null, ttype:LEFTRIGHT},

305−//{input:"||", tag:"mo", output:"||", tex:null, ttype:LEFTRIGHT},

306−{input:"(:", tag:"mo", output:"\u2329", tex:"langle", ttype:LEFTBRACKET},

307−{input:":)", tag:"mo", output:"\u232A", tex:"rangle", ttype:RIGHTBRACKET},

308−{input:"<<", tag:"mo", output:"\u2329", tex:null, ttype:LEFTBRACKET},

309−{input:">>", tag:"mo", output:"\u232A", tex:null, ttype:RIGHTBRACKET},

310−{input:"{:", tag:"mo", output:"{:", tex:null, ttype:LEFTBRACKET, invisible:true},

311−{input:":}", tag:"mo", output:":}", tex:null, ttype:RIGHTBRACKET, invisible:true},

312−

313−//miscellaneous symbols

314−{input:"int", tag:"mo", output:"\u222B", tex:null, ttype:CONST},

315−{input:"dx", tag:"mi", output:"{:d x:}", tex:null, ttype:DEFINITION},

316−{input:"dy", tag:"mi", output:"{:d y:}", tex:null, ttype:DEFINITION},

317−{input:"dz", tag:"mi", output:"{:d z:}", tex:null, ttype:DEFINITION},

318−{input:"dt", tag:"mi", output:"{:d t:}", tex:null, ttype:DEFINITION},

319−{input:"oint", tag:"mo", output:"\u222E", tex:null, ttype:CONST},

320−{input:"del", tag:"mo", output:"\u2202", tex:"partial", ttype:CONST},

321−{input:"grad", tag:"mo", output:"\u2207", tex:"nabla", ttype:CONST},

322−{input:"+-", tag:"mo", output:"\u00B1", tex:"pm", ttype:CONST},

323−{input:"O/", tag:"mo", output:"\u2205", tex:"emptyset", ttype:CONST},

324−{input:"oo", tag:"mo", output:"\u221E", tex:"infty", ttype:CONST},

325−{input:"aleph", tag:"mo", output:"\u2135", tex:null, ttype:CONST},

326−{input:"...", tag:"mo", output:"...", tex:"ldots", ttype:CONST},

327−{input:":.", tag:"mo", output:"\u2234", tex:"therefore", ttype:CONST},

328−{input:"/_", tag:"mo", output:"\u2220", tex:"angle", ttype:CONST},

329−{input:"\\ ", tag:"mo", output:"\u00A0", tex:null, ttype:CONST},

330−{input:"quad", tag:"mo", output:"\u00A0\u00A0", tex:null, ttype:CONST},

331−{input:"qquad", tag:"mo", output:"\u00A0\u00A0\u00A0\u00A0", tex:null, ttype:CONST},

332−{input:"cdots", tag:"mo", output:"\u22EF", tex:null, ttype:CONST},

333−{input:"vdots", tag:"mo", output:"\u22EE", tex:null, ttype:CONST},

334−{input:"ddots", tag:"mo", output:"\u22F1", tex:null, ttype:CONST},

335−{input:"diamond", tag:"mo", output:"\u22C4", tex:null, ttype:CONST},

336−{input:"square", tag:"mo", output:"\u25A1", tex:null, ttype:CONST},

337−{input:"|__", tag:"mo", output:"\u230A", tex:"lfloor", ttype:CONST},

338−{input:"__|", tag:"mo", output:"\u230B", tex:"rfloor", ttype:CONST},

339−{input:"|~", tag:"mo", output:"\u2308", tex:"lceiling", ttype:CONST},

340−{input:"~|", tag:"mo", output:"\u2309", tex:"rceiling", ttype:CONST},

341−{input:"CC", tag:"mo", output:"\u2102", tex:null, ttype:CONST},

342−{input:"NN", tag:"mo", output:"\u2115", tex:null, ttype:CONST},

343−{input:"QQ", tag:"mo", output:"\u211A", tex:null, ttype:CONST},

344−{input:"RR", tag:"mo", output:"\u211D", tex:null, ttype:CONST},

345−{input:"ZZ", tag:"mo", output:"\u2124", tex:null, ttype:CONST},

346−{input:"f", tag:"mi", output:"f", tex:null, ttype:UNARY, func:true},

347−{input:"g", tag:"mi", output:"g", tex:null, ttype:UNARY, func:true},

348−

349−//standard functions

350−{input:"lim", tag:"mo", output:"lim", tex:null, ttype:UNDEROVER},

351−{input:"Lim", tag:"mo", output:"Lim", tex:null, ttype:UNDEROVER},

352−{input:"sin", tag:"mo", output:"sin", tex:null, ttype:UNARY, func:true},

353−{input:"cos", tag:"mo", output:"cos", tex:null, ttype:UNARY, func:true},

354−{input:"tan", tag:"mo", output:"tan", tex:null, ttype:UNARY, func:true},

355−{input:"sinh", tag:"mo", output:"sinh", tex:null, ttype:UNARY, func:true},

356−{input:"cosh", tag:"mo", output:"cosh", tex:null, ttype:UNARY, func:true},

357−{input:"tanh", tag:"mo", output:"tanh", tex:null, ttype:UNARY, func:true},

358−{input:"cot", tag:"mo", output:"cot", tex:null, ttype:UNARY, func:true},

359−{input:"sec", tag:"mo", output:"sec", tex:null, ttype:UNARY, func:true},

360−{input:"csc", tag:"mo", output:"csc", tex:null, ttype:UNARY, func:true},

361−{input:"log", tag:"mo", output:"log", tex:null, ttype:UNARY, func:true},

362−{input:"ln", tag:"mo", output:"ln", tex:null, ttype:UNARY, func:true},

363−{input:"det", tag:"mo", output:"det", tex:null, ttype:UNARY, func:true},

364−{input:"dim", tag:"mo", output:"dim", tex:null, ttype:CONST},

365−{input:"mod", tag:"mo", output:"mod", tex:null, ttype:CONST},

366−{input:"gcd", tag:"mo", output:"gcd", tex:null, ttype:UNARY, func:true},

367−{input:"lcm", tag:"mo", output:"lcm", tex:null, ttype:UNARY, func:true},

368−{input:"lub", tag:"mo", output:"lub", tex:null, ttype:CONST},

369−{input:"glb", tag:"mo", output:"glb", tex:null, ttype:CONST},

370−{input:"min", tag:"mo", output:"min", tex:null, ttype:UNDEROVER},

371−{input:"max", tag:"mo", output:"max", tex:null, ttype:UNDEROVER},

372−

373−//arrows

374−{input:"uarr", tag:"mo", output:"\u2191", tex:"uparrow", ttype:CONST},

375−{input:"darr", tag:"mo", output:"\u2193", tex:"downarrow", ttype:CONST},

376−{input:"rarr", tag:"mo", output:"\u2192", tex:"rightarrow", ttype:CONST},

377−{input:"->", tag:"mo", output:"\u2192", tex:"to", ttype:CONST},

378−{input:">->", tag:"mo", output:"\u21A3", tex:"rightarrowtail", ttype:CONST},

379−{input:"->>", tag:"mo", output:"\u21A0", tex:"twoheadrightarrow", ttype:CONST},

380−{input:">->>", tag:"mo", output:"\u2916", tex:"twoheadrightarrowtail", ttype:CONST},

381−{input:"|->", tag:"mo", output:"\u21A6", tex:"mapsto", ttype:CONST},

382−{input:"larr", tag:"mo", output:"\u2190", tex:"leftarrow", ttype:CONST},

383−{input:"harr", tag:"mo", output:"\u2194", tex:"leftrightarrow", ttype:CONST},

384−{input:"rArr", tag:"mo", output:"\u21D2", tex:"Rightarrow", ttype:CONST},

385−{input:"lArr", tag:"mo", output:"\u21D0", tex:"Leftarrow", ttype:CONST},

386−{input:"hArr", tag:"mo", output:"\u21D4", tex:"Leftrightarrow", ttype:CONST},

387−//commands with argument

388−{input:"sqrt", tag:"msqrt", output:"sqrt", tex:null, ttype:UNARY},

389−{input:"root", tag:"mroot", output:"root", tex:null, ttype:BINARY},

390−{input:"frac", tag:"mfrac", output:"/", tex:null, ttype:BINARY},

391−{input:"/", tag:"mfrac", output:"/", tex:null, ttype:INFIX},

392−{input:"stackrel", tag:"mover", output:"stackrel", tex:null, ttype:BINARY},

393−{input:"_", tag:"msub", output:"_", tex:null, ttype:INFIX},

394−{input:"^", tag:"msup", output:"^", tex:null, ttype:INFIX},

395−{input:"hat", tag:"mover", output:"\u005E", tex:null, ttype:UNARY, acc:true},

396−{input:"bar", tag:"mover", output:"\u00AF", tex:"overline", ttype:UNARY, acc:true},

397−{input:"vec", tag:"mover", output:"\u2192", tex:null, ttype:UNARY, acc:true},

398−{input:"dot", tag:"mover", output:".", tex:null, ttype:UNARY, acc:true},

399−{input:"ddot", tag:"mover", output:"..", tex:null, ttype:UNARY, acc:true},

400−{input:"ul", tag:"munder", output:"\u0332", tex:"underline", ttype:UNARY, acc:true},

401−{input:"text", tag:"mtext", output:"text", tex:null, ttype:TEXT},

402−{input:"mbox", tag:"mtext", output:"mbox", tex:null, ttype:TEXT},

403−AMquote,

404−{input:"bb", tag:"mstyle", atname:"fontweight", atval:"bold", output:"bb", tex:null, ttype:UNARY},

405−{input:"mathbf", tag:"mstyle", atname:"fontweight", atval:"bold", output:"mathbf", tex:null, ttype:UNARY},

406−{input:"sf", tag:"mstyle", atname:"fontfamily", atval:"sans-serif", output:"sf", tex:null, ttype:UNARY},

407−{input:"mathsf", tag:"mstyle", atname:"fontfamily", atval:"sans-serif", output:"mathsf", tex:null, ttype:UNARY},

408−{input:"bbb", tag:"mstyle", atname:"mathvariant", atval:"double-struck", output:"bbb", tex:null, ttype:UNARY, codes:AMbbb},

409−{input:"mathbb", tag:"mstyle", atname:"mathvariant", atval:"double-struck", output:"mathbb", tex:null, ttype:UNARY, codes:AMbbb},

410−{input:"cc", tag:"mstyle", atname:"mathvariant", atval:"script", output:"cc", tex:null, ttype:UNARY, codes:AMcal},

411−{input:"mathcal", tag:"mstyle", atname:"mathvariant", atval:"script", output:"mathcal", tex:null, ttype:UNARY, codes:AMcal},

412−{input:"tt", tag:"mstyle", atname:"fontfamily", atval:"monospace", output:"tt", tex:null, ttype:UNARY},

413−{input:"mathtt", tag:"mstyle", atname:"fontfamily", atval:"monospace", output:"mathtt", tex:null, ttype:UNARY},

414−{input:"fr", tag:"mstyle", atname:"mathvariant", atval:"fraktur", output:"fr", tex:null, ttype:UNARY, codes:AMfrk},

415−{input:"mathfrak", tag:"mstyle", atname:"mathvariant", atval:"fraktur", output:"mathfrak", tex:null, ttype:UNARY, codes:AMfrk}

416−];

417−

418−function compareNames(s1,s2) {

419− if (s1.input > s2.input) return 1

420− else return -1;

421−}

422−

423−var AMnames = []; //list of input symbols

424−

425−function initSymbols() {

426− var texsymbols = [], i;

427− for (i=0; i<AMsymbols.length; i++)

428− if (AMsymbols[i].tex)

429− texsymbols[texsymbols.length] = {input:AMsymbols[i].tex,

430− tag:AMsymbols[i].tag, output:AMsymbols[i].output, ttype:AMsymbols[i].ttype};

431− AMsymbols = AMsymbols.concat(texsymbols);

432− refreshSymbols();

433−}

434−

435−function refreshSymbols(){

436− var i;

437− AMsymbols.sort(compareNames);

438− for (i=0; i<AMsymbols.length; i++) AMnames[i] = AMsymbols[i].input;

439− LMsymbols.sort(compareNames);

440− for (i=0; i<LMsymbols.length; i++) LMnames[i] = LMsymbols[i].input;

441−}

442−

443−function define(oldstr,newstr) {

444− if(oldstr.substr(0,1)=="\\")

445− LMsymbols = LMsymbols.concat([{input:oldstr, tag:"mo", output:newstr,

446− ttype:DEFINITION}]);

447− else

448− AMsymbols = AMsymbols.concat([{input:oldstr, tag:"mo", output:newstr,

449− tex:null, ttype:DEFINITION}]);

450− refreshSymbols(); // this may be a problem if many symbols are defined!

451−}

452−

453−function AMremoveCharsAndBlanks(str,n) {

454−//remove n characters and any following blanks

455− var st;

456− if (str.charAt(n)=="\\" && str.charAt(n+1)!="\\" && str.charAt(n+1)!=" ")

457− st = str.slice(n+1);

458− else st = str.slice(n);

459− for (var i=0; i<st.length && st.charCodeAt(i)<=32; i=i+1);

460− return st.slice(i);

461−}

462−

463−function position(arr, str, n) {

464−// return position >=n where str appears or would be inserted

465−// assumes arr is sorted

466− if (n==0) {

467− var h,m;

468− n = -1;

469− h = arr.length;

470− while (n+1<h) {

471− m = (n+h) >> 1;

472− if (arr[m]<str) n = m; else h = m;

473− }

474− return h;

475− } else

476− for (var i=n; i<arr.length && arr[i]<str; i++);

477− return i; // i=arr.length || arr[i]>=str

478−}

479−

480−function AMgetSymbol(str) {

481−//return maximal initial substring of str that appears in names

482−//return null if there is none

483− var k = 0; //new pos

484− var j = 0; //old pos

485− var mk; //match pos

486− var st;

487− var tagst;

488− var match = "";

489− var more = true;

490− for (var i=1; i<=str.length && more; i++) {

491− st = str.slice(0,i); //initial substring of length i

492− j = k;

493− k = position(AMnames, st, j);

494− if (k<AMnames.length && str.slice(0,AMnames[k].length)==AMnames[k]){

495− match = AMnames[k];

496− mk = k;

497− i = match.length;

498− }

499− more = k<AMnames.length && str.slice(0,AMnames[k].length)>=AMnames[k];

500− }

501− AMpreviousSymbol=AMcurrentSymbol;

502− if (match!=""){

503− AMcurrentSymbol=AMsymbols[mk].ttype;

504− return AMsymbols[mk];

505− }

506−// if str[0] is a digit or - return maxsubstring of digits.digits

507− AMcurrentSymbol=CONST;

508− k = 1;

509− st = str.slice(0,1);

510− var integ = true;

511− while ("0"<=st && st<="9" && k<=str.length) {

512− st = str.slice(k,k+1);

513− k++;

514− }

515− if (st == decimalsign) {

516− st = str.slice(k,k+1);

517− if ("0"<=st && st<="9") {

518− integ = false;

519− k++;

520− while ("0"<=st && st<="9" && k<=str.length) {

521− st = str.slice(k,k+1);

522− k++;

523− }

524− }

525− }

526− if ((integ && k>1) || k>2) {

527− st = str.slice(0,k-1);

528− tagst = "mn";

529− } else {

530− k = 2;

531− st = str.slice(0,1); //take 1 character

532− tagst = (("A">st || st>"Z") && ("a">st || st>"z")?"mo":"mi");

533− }

534− if (st=="-" && AMpreviousSymbol==INFIX) {

535− AMcurrentSymbol = INFIX; //trick "/" into recognizing "-" on second parse

536− return {input:st, tag:tagst, output:st, ttype:UNARY, func:true};

537− }

538− return {input:st, tag:tagst, output:st, ttype:CONST};

539−}

540−

541−function AMremoveBrackets(node) {

542− var st;

543− if (node.nodeName=="mrow") {

544− st = node.firstChild.firstChild.nodeValue;

545− if (st=="(" || st=="[" || st=="{") node.removeChild(node.firstChild);

546− }

547− if (node.nodeName=="mrow") {

548− st = node.lastChild.firstChild.nodeValue;

549− if (st==")" || st=="]" || st=="}") node.removeChild(node.lastChild);

550− }

551−}

552−

553−/*Parsing ASCII math expressions with the following grammar

554−v ::= [A-Za-z] | greek letters | numbers | other constant symbols

555−u ::= sqrt | text | bb | other unary symbols for font commands

556−b ::= frac | root | stackrel binary symbols

557−l ::= ( | [ | { | (: | {: left brackets

558−r ::= ) | ] | } | :) | :} right brackets

559−S ::= v | lEr | uS | bSS Simple expression

560−I ::= S_S | S^S | S_S^S | S Intermediate expression

561−E ::= IE | I/I Expression

562−Each terminal symbol is translated into a corresponding mathml node.*/

563−

564−var AMnestingDepth,AMpreviousSymbol,AMcurrentSymbol;

565−

566−function AMparseSexpr(str) { //parses str and returns [node,tailstr]

567− var symbol, node, result, i, st,// rightvert = false,

568− newFrag = document.createDocumentFragment();

569− str = AMremoveCharsAndBlanks(str,0);

570− symbol = AMgetSymbol(str); //either a token or a bracket or empty

571− if (symbol == null || symbol.ttype == RIGHTBRACKET && AMnestingDepth > 0) {

572− return [null,str];

573− }

574− if (symbol.ttype == DEFINITION) {

575− str = symbol.output+AMremoveCharsAndBlanks(str,symbol.input.length);

576− symbol = AMgetSymbol(str);

577− }

578− switch (symbol.ttype) { case UNDEROVER:

579− case CONST:

580− str = AMremoveCharsAndBlanks(str,symbol.input.length);

581− return [createMmlNode(symbol.tag, //its a constant

582− document.createTextNode(symbol.output)),str];

583− case LEFTBRACKET: //read (expr+)

584− AMnestingDepth++;

585− str = AMremoveCharsAndBlanks(str,symbol.input.length);

586− result = AMparseExpr(str,true);

587− AMnestingDepth--;

588− if (typeof symbol.invisible == "boolean" && symbol.invisible)

589− node = createMmlNode("mrow",result[0]);

590− else {

591− node = createMmlNode("mo",document.createTextNode(symbol.output));

592− node = createMmlNode("mrow",node);

593− node.appendChild(result[0]);

594− }

595− return [node,result[1]];

596− case TEXT:

597− if (symbol!=AMquote) str = AMremoveCharsAndBlanks(str,symbol.input.length);

598− if (str.charAt(0)=="{") i=str.indexOf("}");

599− else if (str.charAt(0)=="(") i=str.indexOf(")");

600− else if (str.charAt(0)=="[") i=str.indexOf("]");

601− else if (symbol==AMquote) i=str.slice(1).indexOf("\"")+1;

602− else i = 0;

603− if (i==-1) i = str.length;

604− st = str.slice(1,i);

605− if (st.charAt(0) == " ") {

606− node = createMmlNode("mspace");

607− node.setAttribute("width","1ex");

608− newFrag.appendChild(node);

609− }

610− newFrag.appendChild(

611− createMmlNode(symbol.tag,document.createTextNode(st)));

612− if (st.charAt(st.length-1) == " ") {

613− node = createMmlNode("mspace");

614− node.setAttribute("width","1ex");

615− newFrag.appendChild(node);

616− }

617− str = AMremoveCharsAndBlanks(str,i+1);

618− return [createMmlNode("mrow",newFrag),str];

619− case UNARY:

620− str = AMremoveCharsAndBlanks(str,symbol.input.length);

621− result = AMparseSexpr(str);

622− if (result[0]==null) return [createMmlNode(symbol.tag,

623− document.createTextNode(symbol.output)),str];

624− if (typeof symbol.func == "boolean" && symbol.func) { // functions hack

625− st = str.charAt(0);

626− if (st=="^" || st=="_" || st=="/" || st=="|" || st==",") {

627− return [createMmlNode(symbol.tag,

628− document.createTextNode(symbol.output)),str];

629− } else {

630− node = createMmlNode("mrow",

631− createMmlNode(symbol.tag,document.createTextNode(symbol.output)));

632− node.appendChild(result[0]);

633− return [node,result[1]];

634− }

635− }

636− AMremoveBrackets(result[0]);

637− if (symbol.input == "sqrt") { // sqrt

638− return [createMmlNode(symbol.tag,result[0]),result[1]];

639− } else if (typeof symbol.acc == "boolean" && symbol.acc) { // accent

640− node = createMmlNode(symbol.tag,result[0]);

641− node.appendChild(createMmlNode("mo",document.createTextNode(symbol.output)));

642− return [node,result[1]];

643− } else { // font change command

644− if (!isIE && typeof symbol.codes != "undefined") {

645− for (i=0; i<result[0].childNodes.length; i++)

646− if (result[0].childNodes[i].nodeName=="mi" || result[0].nodeName=="mi") {

647− st = (result[0].nodeName=="mi"?result[0].firstChild.nodeValue:

648− result[0].childNodes[i].firstChild.nodeValue);

649− var newst = [];

650− for (var j=0; j<st.length; j++)

651− if (st.charCodeAt(j)>64 && st.charCodeAt(j)<91) newst = newst +

652− String.fromCharCode(symbol.codes[st.charCodeAt(j)-65]);

653− else newst = newst + st.charAt(j);

654− if (result[0].nodeName=="mi")

655− result[0]=createMmlNode("mo").

656− appendChild(document.createTextNode(newst));

657− else result[0].replaceChild(createMmlNode("mo").

658− appendChild(document.createTextNode(newst)),

659− result[0].childNodes[i]);

660− }

661− }

662− node = createMmlNode(symbol.tag,result[0]);

663− node.setAttribute(symbol.atname,symbol.atval);

664− return [node,result[1]];

665− }

666− case BINARY:

667− str = AMremoveCharsAndBlanks(str,symbol.input.length);

668− result = AMparseSexpr(str);

669− if (result[0]==null) return [createMmlNode("mo",

670− document.createTextNode(symbol.input)),str];

671− AMremoveBrackets(result[0]);

672− var result2 = AMparseSexpr(result[1]);

673− if (result2[0]==null) return [createMmlNode("mo",

674− document.createTextNode(symbol.input)),str];

675− AMremoveBrackets(result2[0]);

676− if (symbol.input=="root" || symbol.input=="stackrel")

677− newFrag.appendChild(result2[0]);

678− newFrag.appendChild(result[0]);

679− if (symbol.input=="frac") newFrag.appendChild(result2[0]);

680− return [createMmlNode(symbol.tag,newFrag),result2[1]];

681− case INFIX:

682− str = AMremoveCharsAndBlanks(str,symbol.input.length);

683− return [createMmlNode("mo",document.createTextNode(symbol.output)),str];

684− case SPACE:

685− str = AMremoveCharsAndBlanks(str,symbol.input.length);

686− node = createMmlNode("mspace");

687− node.setAttribute("width","1ex");

688− newFrag.appendChild(node);

689− newFrag.appendChild(

690− createMmlNode(symbol.tag,document.createTextNode(symbol.output)));

691− node = createMmlNode("mspace");

692− node.setAttribute("width","1ex");

693− newFrag.appendChild(node);

694− return [createMmlNode("mrow",newFrag),str];

695− case LEFTRIGHT:

696−// if (rightvert) return [null,str]; else rightvert = true;

697− AMnestingDepth++;

698− str = AMremoveCharsAndBlanks(str,symbol.input.length);

699− result = AMparseExpr(str,false);

700− AMnestingDepth--;

701− var st = "";

702− if (result[0].lastChild!=null)

703− st = result[0].lastChild.firstChild.nodeValue;

704− if (st == "|") { // its an absolute value subterm

705− node = createMmlNode("mo",document.createTextNode(symbol.output));

706− node = createMmlNode("mrow",node);

707− node.appendChild(result[0]);

708− return [node,result[1]];

709− } else { // the "|" is a \mid so use unicode 2223 (divides) for spacing

710− node = createMmlNode("mo",document.createTextNode("\u2223"));

711− node = createMmlNode("mrow",node);

712− return [node,str];

713− }

714− default:

715−//alert("default");

716− str = AMremoveCharsAndBlanks(str,symbol.input.length);

717− return [createMmlNode(symbol.tag, //its a constant

718− document.createTextNode(symbol.output)),str];

719− }

720−}

721−

722−function AMparseIexpr(str) {

723− var symbol, sym1, sym2, node, result, underover;

724− str = AMremoveCharsAndBlanks(str,0);

725− sym1 = AMgetSymbol(str);

726− result = AMparseSexpr(str);

727− node = result[0];

728− str = result[1];

729− symbol = AMgetSymbol(str);

730− if (symbol.ttype == INFIX && symbol.input != "/") {

731− str = AMremoveCharsAndBlanks(str,symbol.input.length);

732−// if (symbol.input == "/") result = AMparseIexpr(str); else ...

733− result = AMparseSexpr(str);

734− if (result[0] == null) // show box in place of missing argument

735− result[0] = createMmlNode("mo",document.createTextNode("\u25A1"));

736− else AMremoveBrackets(result[0]);

737− str = result[1];

738−// if (symbol.input == "/") AMremoveBrackets(node);

739− if (symbol.input == "_") {

740− sym2 = AMgetSymbol(str);

741− underover = (sym1.ttype == UNDEROVER);

742− if (sym2.input == "^") {

743− str = AMremoveCharsAndBlanks(str,sym2.input.length);

744− var res2 = AMparseSexpr(str);

745− AMremoveBrackets(res2[0]);

746− str = res2[1];

747− node = createMmlNode((underover?"munderover":"msubsup"),node);

748− node.appendChild(result[0]);

749− node.appendChild(res2[0]);

750− node = createMmlNode("mrow",node); // so sum does not stretch

751− } else {

752− node = createMmlNode((underover?"munder":"msub"),node);

753− node.appendChild(result[0]);

754− }

755− } else {

756− node = createMmlNode(symbol.tag,node);

757− node.appendChild(result[0]);

758− }

759− }

760− return [node,str];

761−}

762−

763−function AMparseExpr(str,rightbracket) {

764− var symbol, node, result, i, nodeList = [],

765− newFrag = document.createDocumentFragment();

766− do {

767− str = AMremoveCharsAndBlanks(str,0);

768− result = AMparseIexpr(str);

769− node = result[0];

770− str = result[1];

771− symbol = AMgetSymbol(str);

772− if (symbol.ttype == INFIX && symbol.input == "/") {

773− str = AMremoveCharsAndBlanks(str,symbol.input.length);

774− result = AMparseIexpr(str);

775− if (result[0] == null) // show box in place of missing argument

776− result[0] = createMmlNode("mo",document.createTextNode("\u25A1"));

777− else AMremoveBrackets(result[0]);

778− str = result[1];

779− AMremoveBrackets(node);

780− node = createMmlNode(symbol.tag,node);

781− node.appendChild(result[0]);

782− newFrag.appendChild(node);

783− symbol = AMgetSymbol(str);

784− }

785− else if (node!=undefined) newFrag.appendChild(node);

786− } while ((symbol.ttype != RIGHTBRACKET &&

787− (symbol.ttype != LEFTRIGHT || rightbracket)

788− || AMnestingDepth == 0) && symbol!=null && symbol.output!="");

789− if (symbol.ttype == RIGHTBRACKET || symbol.ttype == LEFTRIGHT) {

790−// if (AMnestingDepth > 0) AMnestingDepth--;

791− var len = newFrag.childNodes.length;

792− if (len>0 && newFrag.childNodes[len-1].nodeName == "mrow" && len>1 &&

793− newFrag.childNodes[len-2].nodeName == "mo" &&

794− newFrag.childNodes[len-2].firstChild.nodeValue == ",") { //matrix

795− var right = newFrag.childNodes[len-1].lastChild.firstChild.nodeValue;

796− if (right==")" || right=="]") {

797− var left = newFrag.childNodes[len-1].firstChild.firstChild.nodeValue;

798− if (left=="(" && right==")" && symbol.output != "}" ||

799− left=="[" && right=="]") {

800− var pos = []; // positions of commas

801− var matrix = true;

802− var m = newFrag.childNodes.length;

803− for (i=0; matrix && i<m; i=i+2) {

804− pos[i] = [];

805− node = newFrag.childNodes[i];

806− if (matrix) matrix = node.nodeName=="mrow" &&

807− (i==m-1 || node.nextSibling.nodeName=="mo" &&

808− node.nextSibling.firstChild.nodeValue==",")&&

809− node.firstChild.firstChild.nodeValue==left &&

810− node.lastChild.firstChild.nodeValue==right;

811− if (matrix)

812− for (var j=0; j<node.childNodes.length; j++)

813− if (node.childNodes[j].firstChild.nodeValue==",")

814− pos[i][pos[i].length]=j;

815− if (matrix && i>1) matrix = pos[i].length == pos[i-2].length;

816− }

817− if (matrix) {

818− var row, frag, n, k, table = document.createDocumentFragment();

819− for (i=0; i<m; i=i+2) {

820− row = document.createDocumentFragment();

821− frag = document.createDocumentFragment();

822− node = newFrag.firstChild; // <mrow>(-,-,...,-,-)</mrow>

823− n = node.childNodes.length;

824− k = 0;

825− node.removeChild(node.firstChild); //remove (

826− for (j=1; j<n-1; j++) {

827− if (typeof pos[i][k] != "undefined" && j==pos[i][k]){

828− node.removeChild(node.firstChild); //remove ,

829− row.appendChild(createMmlNode("mtd",frag));

830− k++;

831− } else frag.appendChild(node.firstChild);

832− }

833− row.appendChild(createMmlNode("mtd",frag));

834− if (newFrag.childNodes.length>2) {

835− newFrag.removeChild(newFrag.firstChild); //remove <mrow>)</mrow>

836− newFrag.removeChild(newFrag.firstChild); //remove <mo>,</mo>

837− }

838− table.appendChild(createMmlNode("mtr",row));

839− }

840− node = createMmlNode("mtable",table);

841− if (typeof symbol.invisible == "boolean" && symbol.invisible) node.setAttribute("columnalign","left");

842− newFrag.replaceChild(node,newFrag.firstChild);

843− }

844− }

845− }

846− }

847− str = AMremoveCharsAndBlanks(str,symbol.input.length);

848− if (typeof symbol.invisible != "boolean" || !symbol.invisible) {

849− node = createMmlNode("mo",document.createTextNode(symbol.output));

850− newFrag.appendChild(node);

851− }

852− }

853− return [newFrag,str];

854−}

855−

856−function parseMath(str,latex) {

857− var frag, node;

858− AMnestingDepth = 0;

859− frag = latex ? LMparseExpr(str.replace(/^\s+/g,""),false,false)[0] : AMparseExpr(str.replace(/^\s+/g,""),false)[0];

860− node = createMmlNode("mstyle",frag);

861− node.setAttribute("mathcolor",mathcolor);

862− node.setAttribute("fontfamily",mathfontfamily);

863− node.setAttribute("mathsize",mathfontsize);

864− if (displaystyle) node.setAttribute("displaystyle","true");

865− node = createMmlNode("math",node);

866− if (showasciiformulaonhover) //fixed by djhsu so newline

867− node.setAttribute("title",str.replace(/\s+/g," "));//does not show in Gecko

868− return node;

869−}

870−

871−function strarr2docFrag(arr, linebreaks, latex) {

872− var newFrag=document.createDocumentFragment();

873− var expr = false;

874− for (var i=0; i<arr.length; i++) {

875− if (expr) newFrag.appendChild(parseMath(arr[i],latex));

876− else {

877− var arri = (linebreaks ? arr[i].split("\n\n") : [arr[i]]);

878− newFrag.appendChild(createElementXHTML("span").

879− appendChild(document.createTextNode(arri[0])));

880− for (var j=1; j<arri.length; j++) {

881− newFrag.appendChild(createElementXHTML("p"));

882− newFrag.appendChild(createElementXHTML("span").

883− appendChild(document.createTextNode(arri[j])));

884− }

885− }

886− expr = !expr;

887− }

888− return newFrag;

889−}

890−

891−function AMautomathrec(str) {

892−//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.

893−//tokens are single letters (except a, A, I) and ASCIIMathML tokens

894− var texcommand = "\\\\[a-zA-Z]+|\\\\\\s|";

895− 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])|";

896− var englishAMtoken = "\\b(?:sum|ox|log|sin|tan|dim|hat|bar|dot)(?![a-z])|";

897− var secondenglishAMtoken = "|\\bI\\b|\\bin\\b|\\btext\\b"; // took if and or not out

898− 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?

899− var letter = "[a-zA-HJ-Z](?=(?:[^a-zA-Z]|$|"+ambigAMtoken+englishAMtoken+simpleAMtoken+"))|";

900− var token = letter+texcommand+"\\d+|[-()[\\]{}+=*&^_%\\\@/<>,\\|!:;'~]|\\.(?!(?:\x20|$))|"+ambigAMtoken+englishAMtoken+simpleAMtoken;

901− var re = new RegExp("(^|\\s)((("+token+")\\s?)(("+token+secondenglishAMtoken+")\\s?)+)([,.?]?(?=\\s|$))","g");

902− str = str.replace(re," `$2`$7");

903− var arr = str.split(AMdelimiter1);

904− var re1 = new RegExp("(^|\\s)([b-zB-HJ-Z+*<>]|"+texcommand+ambigAMtoken+simpleAMtoken+")(\\s|\\n|$)","g");

905− var re2 = new RegExp("(^|\\s)([a-z]|"+texcommand+ambigAMtoken+simpleAMtoken+")([,.])","g"); // removed |\d+ for now

906− for (i=0; i<arr.length; i++) //single nonenglish tokens

907− if (i%2==0) {

908− arr[i] = arr[i].replace(re1," `$2`$3");

909− arr[i] = arr[i].replace(re2," `$2`$3");

910− arr[i] = arr[i].replace(/([{}[\]])/,"`$1`");

911− }

912− str = arr.join(AMdelimiter1);

913− str = str.replace(/((^|\s)$[a-zA-Z]{2,}.*?)$`/g,"$1`)"); //fix parentheses

914− str = str.replace(/`($(a\s|in\s))(.*?[a-zA-Z]{2,}$)/g,"$1`$3"); //fix parentheses

915− str = str.replace(/\sin`/g,"` in");

916− str = str.replace(/`($\w$[,.]?(\s|\n|$))/g,"$1`");

917− str = str.replace(/`([0-9.]+|e.g|i.e)`(\.?)/gi,"$1$2");

918− str = str.replace(/`([0-9.]+:)`/g,"$1");

919− return str;

920−}

921−

922−function processNodeR(n, linebreaks,latex) {

923− var mtch, str, arr, frg, i;

924− if (n.childNodes.length == 0) {

925− if ((n.nodeType!=8 || linebreaks) &&

926− n.parentNode.nodeName!="form" && n.parentNode.nodeName!="FORM" &&

927− n.parentNode.nodeName!="textarea" && n.parentNode.nodeName!="TEXTAREA" /*&&

928− n.parentNode.nodeName!="pre" && n.parentNode.nodeName!="PRE"*/) {

929− str = n.nodeValue;

930− if (!(str == null)) {

931− str = str.replace(/\r\n\r\n/g,"\n\n");

932− str = str.replace(/\x20+/g," ");

933− str = str.replace(/\s*\r\n/g," ");

934− if(latex) {

935−// DELIMITERS:

936− mtch = (str.indexOf("\$")==-1 ? false : true);

937− str = str.replace(/([^\\])\$/g,"$1 \$");

938− str = str.replace(/^\$/," \$"); // in case \$ at start of string

939− arr = str.split(" \$");

940− for (i=0; i<arr.length; i++)

941− arr[i]=arr[i].replace(/\\\$/g,"\$");

942− } else {

943− mtch = false;

944− str = str.replace(new RegExp(AMescape1, "g"),

945− function(){mtch = true; return "AMescape1"});

946− str = str.replace(/\\?end{?a?math}?/i,

947− function(){automathrecognize = false; mtch = true; return ""});

948− str = str.replace(/amath\b|\\begin{a?math}/i,

949− function(){automathrecognize = true; mtch = true; return ""});

950− arr = str.split(AMdelimiter1);

951− if (automathrecognize)

952− for (i=0; i<arr.length; i++)

953− if (i%2==0) arr[i] = AMautomathrec(arr[i]);

954− str = arr.join(AMdelimiter1);

955− arr = str.split(AMdelimiter1);

956− for (i=0; i<arr.length; i++) // this is a problem ************

957− arr[i]=arr[i].replace(/AMescape1/g,AMdelimiter1);

958− }

959− if (arr.length>1 || mtch) {

960− if (!noMathML) {

961− frg = strarr2docFrag(arr,n.nodeType==8,latex);

962− var len = frg.childNodes.length;

963− n.parentNode.replaceChild(frg,n);

964− return len-1;

965− } else return 0;

966− }

967− }

968− } else return 0;

969− } else if (n.nodeName!="math") {

970− for (i=0; i<n.childNodes.length; i++)

971− i += processNodeR(n.childNodes[i], linebreaks,latex);

972− }

973− return 0;

974−}

975−

976−function AMprocessNode(n, linebreaks, spanclassAM) {

977− var frag,st;

978− if (spanclassAM!=null) {

979− frag = document.getElementsByTagName("span")

980− for (var i=0;i<frag.length;i++)

981− if (frag[i].className == "AM")

982− processNodeR(frag[i],linebreaks,false);

983− } else {

984− try {

985− st = n.innerHTML; // look for AMdelimiter on page

986− } catch(err) {}

987−//alert(st)

988− if (st==null || /amath\b|\\begin{a?math}/i.test(st) ||

989− st.indexOf(AMdelimiter1+" ")!=-1 || st.slice(-1)==AMdelimiter1 ||

990− st.indexOf(AMdelimiter1+"<")!=-1 || st.indexOf(AMdelimiter1+"\n")!=-1) {

991− processNodeR(n,linebreaks,false);

992− }

993− }

994−/* if (isIE) { //needed to match size and font of formula to surrounding text

995− frag = document.getElementsByTagName('math');

996− for (var i=0;i<frag.length;i++) frag[i].update() //What is this?

997− }*/

998−}

999−

1000−/*

1001−LaTeXMathML.js

1002−==============

1003−

1004−Version 1.1, July 20, 2007 (c) modifications by Peter Jipsen

1005−

1006−(changes: renamed global variables from AM... to LM... so that

1007−LaTeXMathML and ASCIIMathML can be used simultaneously)

1008−

1009−Previous header notice:

1010−This file (Version 1.0), is due to Douglas Woodall, June 2006.

1011−It contains JavaScript functions to convert (most simple) LaTeX

1012−math notation to Presentation MathML. It was obtained by

1013−downloading the file ASCIIMathML.js from

1014− http://www1.chapman.edu/~jipsen/mathml/asciimathdownload/

1015−and modifying it so that it carries out ONLY those conversions

1016−that would be carried out in LaTeX. A description of the original

1017−file, with examples, can be found at

1018− www1.chapman.edu/~jipsen/mathml/asciimath.html

1019− ASCIIMathML: Math on the web for everyone

1020−

1021−Here is the header notice from the original file:

1022−

1023−ASCIIMathML.js

1024−==============

1025−This file contains JavaScript functions to convert ASCII math notation

1026−to Presentation MathML. The conversion is done while the (X)HTML page

1027−loads, and should work with Firefox/Mozilla/Netscape 7+ and Internet

1028−Explorer 6+MathPlayer (http://www.dessci.com/en/products/mathplayer/).

1029−Just add the next line to your (X)HTML page with this file in the same folder:

1030−<script type="text/javascript" src="ASCIIMathML.js"></script>

1031−This is a convenient and inexpensive solution for authoring MathML.

1032−

1033−Version 1.4.7 Dec 15, 2005, (c) Peter Jipsen http://www.chapman.edu/~jipsen

1034−Latest version at http://www.chapman.edu/~jipsen/mathml/ASCIIMathML.js

1035−For changes see http://www.chapman.edu/~jipsen/mathml/asciimathchanges.txt

1036−If you use it on a webpage, please send the URL to jipsen@chapman.edu

1037−

1038−This program is free software; you can redistribute it and/or modify

1039−it under the terms of the GNU Lesser General Public License as published by

1040−the Free Software Foundation; either version 2.1 of the License, or (at

1041−your option) any later version.

1042−

1043−This program is distributed in the hope that it will be useful,

1044−but WITHOUT ANY WARRANTY; without even the implied warranty of

1045−MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser

1046−General Public License (at http://www.gnu.org/license/lgpl.html)

1047−for more details.

1048−

1049−LaTeXMathML.js (ctd)

1050−==============

1051−

1052−Content between $...$ and $$...$$ is converted by this part of the file

1053−*/

1054−

1055−// all further global variables start with "LM"

1056−

1057−// Commented out by DRW to prevent 1/2 turning into a 2-line fraction

1058−// LMdiv = {input:"/", tag:"mfrac", output:"/", ttype:INFIX},

1059−// Commented out by DRW so that " prints literally in equations

1060−// LMquote = {input:"\"", tag:"mtext", output:"mbox", ttype:TEXT};

1061−

1062−var LMsymbols = [

1063−//Greek letters

1064−{input:"\\alpha", tag:"mi", output:"\u03B1", ttype:CONST},

1065−{input:"\\beta", tag:"mi", output:"\u03B2", ttype:CONST},

1066−{input:"\\gamma", tag:"mi", output:"\u03B3", ttype:CONST},

1067−{input:"\\delta", tag:"mi", output:"\u03B4", ttype:CONST},

1068−{input:"\\epsilon", tag:"mi", output:"\u03B5", ttype:CONST},

1069−{input:"\\varepsilon", tag:"mi", output:"\u025B", ttype:CONST},

1070−{input:"\\zeta", tag:"mi", output:"\u03B6", ttype:CONST},

1071−{input:"\\eta", tag:"mi", output:"\u03B7", ttype:CONST},

1072−{input:"\\theta", tag:"mi", output:"\u03B8", ttype:CONST},

1073−{input:"\\vartheta", tag:"mi", output:"\u03D1", ttype:CONST},

1074−{input:"\\iota", tag:"mi", output:"\u03B9", ttype:CONST},

1075−{input:"\\kappa", tag:"mi", output:"\u03BA", ttype:CONST},

1076−{input:"\\lambda", tag:"mi", output:"\u03BB", ttype:CONST},

1077−{input:"\\mu", tag:"mi", output:"\u03BC", ttype:CONST},

1078−{input:"\\nu", tag:"mi", output:"\u03BD", ttype:CONST},

1079−{input:"\\xi", tag:"mi", output:"\u03BE", ttype:CONST},

1080−{input:"\\pi", tag:"mi", output:"\u03C0", ttype:CONST},

1081−{input:"\\varpi", tag:"mi", output:"\u03D6", ttype:CONST},

1082−{input:"\\rho", tag:"mi", output:"\u03C1", ttype:CONST},

1083−{input:"\\varrho", tag:"mi", output:"\u03F1", ttype:CONST},

1084−{input:"\\varsigma", tag:"mi", output:"\u03C2", ttype:CONST},

1085−{input:"\\sigma", tag:"mi", output:"\u03C3", ttype:CONST},

1086−{input:"\\tau", tag:"mi", output:"\u03C4", ttype:CONST},

1087−{input:"\\upsilon", tag:"mi", output:"\u03C5", ttype:CONST},

1088−{input:"\\phi", tag:"mi", output:"\u03C6", ttype:CONST},

1089−{input:"\\varphi", tag:"mi", output:"\u03D5", ttype:CONST},

1090−{input:"\\chi", tag:"mi", output:"\u03C7", ttype:CONST},

1091−{input:"\\psi", tag:"mi", output:"\u03C8", ttype:CONST},

1092−{input:"\\omega", tag:"mi", output:"\u03C9", ttype:CONST},

1093−{input:"\\Gamma", tag:"mo", output:"\u0393", ttype:CONST},

1094−{input:"\\Delta", tag:"mo", output:"\u0394", ttype:CONST},

1095−{input:"\\Theta", tag:"mo", output:"\u0398", ttype:CONST},

1096−{input:"\\Lambda", tag:"mo", output:"\u039B", ttype:CONST},

1097−{input:"\\Xi", tag:"mo", output:"\u039E", ttype:CONST},

1098−{input:"\\Pi", tag:"mo", output:"\u03A0", ttype:CONST},

1099−{input:"\\Sigma", tag:"mo", output:"\u03A3", ttype:CONST},

1100−{input:"\\Upsilon", tag:"mo", output:"\u03A5", ttype:CONST},

1101−{input:"\\Phi", tag:"mo", output:"\u03A6", ttype:CONST},

1102−{input:"\\Psi", tag:"mo", output:"\u03A8", ttype:CONST},

1103−{input:"\\Omega", tag:"mo", output:"\u03A9", ttype:CONST},

1104−

1105−//fractions

1106−{input:"\\frac12", tag:"mo", output:"\u00BD", ttype:CONST},

1107−{input:"\\frac14", tag:"mo", output:"\u00BC", ttype:CONST},

1108−{input:"\\frac34", tag:"mo", output:"\u00BE", ttype:CONST},

1109−{input:"\\frac13", tag:"mo", output:"\u2153", ttype:CONST},

1110−{input:"\\frac23", tag:"mo", output:"\u2154", ttype:CONST},

1111−{input:"\\frac15", tag:"mo", output:"\u2155", ttype:CONST},

1112−{input:"\\frac25", tag:"mo", output:"\u2156", ttype:CONST},

1113−{input:"\\frac35", tag:"mo", output:"\u2157", ttype:CONST},

1114−{input:"\\frac45", tag:"mo", output:"\u2158", ttype:CONST},

1115−{input:"\\frac16", tag:"mo", output:"\u2159", ttype:CONST},

1116−{input:"\\frac56", tag:"mo", output:"\u215A", ttype:CONST},

1117−{input:"\\frac18", tag:"mo", output:"\u215B", ttype:CONST},

1118−{input:"\\frac38", tag:"mo", output:"\u215C", ttype:CONST},

1119−{input:"\\frac58", tag:"mo", output:"\u215D", ttype:CONST},

1120−{input:"\\frac78", tag:"mo", output:"\u215E", ttype:CONST},

1121−

1122−//binary operation symbols

1123−{input:"\\pm", tag:"mo", output:"\u00B1", ttype:CONST},

1124−{input:"\\mp", tag:"mo", output:"\u2213", ttype:CONST},

1125−{input:"\\triangleleft",tag:"mo", output:"\u22B2", ttype:CONST},

1126−{input:"\\triangleright",tag:"mo",output:"\u22B3", ttype:CONST},

1127−{input:"\\cdot", tag:"mo", output:"\u22C5", ttype:CONST},

1128−{input:"\\star", tag:"mo", output:"\u22C6", ttype:CONST},

1129−{input:"\\ast", tag:"mo", output:"\u002A", ttype:CONST},

1130−{input:"\\times", tag:"mo", output:"\u00D7", ttype:CONST},

1131−{input:"\\div", tag:"mo", output:"\u00F7", ttype:CONST},

1132−{input:"\\circ", tag:"mo", output:"\u2218", ttype:CONST},

1133−//{input:"\\bullet", tag:"mo", output:"\u2219", ttype:CONST},

1134−{input:"\\bullet", tag:"mo", output:"\u2022", ttype:CONST},

1135−{input:"\\oplus", tag:"mo", output:"\u2295", ttype:CONST},

1136−{input:"\\ominus", tag:"mo", output:"\u2296", ttype:CONST},

1137−{input:"\\otimes", tag:"mo", output:"\u2297", ttype:CONST},

1138−{input:"\\bigcirc", tag:"mo", output:"\u25CB", ttype:CONST},

1139−{input:"\\oslash", tag:"mo", output:"\u2298", ttype:CONST},

1140−{input:"\\odot", tag:"mo", output:"\u2299", ttype:CONST},

1141−{input:"\\land", tag:"mo", output:"\u2227", ttype:CONST},

1142−{input:"\\wedge", tag:"mo", output:"\u2227", ttype:CONST},

1143−{input:"\\lor", tag:"mo", output:"\u2228", ttype:CONST},

1144−{input:"\\vee", tag:"mo", output:"\u2228", ttype:CONST},

1145−{input:"\\cap", tag:"mo", output:"\u2229", ttype:CONST},

1146−{input:"\\cup", tag:"mo", output:"\u222A", ttype:CONST},

1147−{input:"\\sqcap", tag:"mo", output:"\u2293", ttype:CONST},

1148−{input:"\\sqcup", tag:"mo", output:"\u2294", ttype:CONST},

1149−{input:"\\uplus", tag:"mo", output:"\u228E", ttype:CONST},

1150−{input:"\\amalg", tag:"mo", output:"\u2210", ttype:CONST},

1151−{input:"\\bigtriangleup",tag:"mo",output:"\u25B3", ttype:CONST},

1152−{input:"\\bigtriangledown",tag:"mo",output:"\u25BD", ttype:CONST},

1153−{input:"\\dag", tag:"mo", output:"\u2020", ttype:CONST},

1154−{input:"\\dagger", tag:"mo", output:"\u2020", ttype:CONST},

1155−{input:"\\ddag", tag:"mo", output:"\u2021", ttype:CONST},

1156−{input:"\\ddagger", tag:"mo", output:"\u2021", ttype:CONST},

1157−{input:"\\lhd", tag:"mo", output:"\u22B2", ttype:CONST},

1158−{input:"\\rhd", tag:"mo", output:"\u22B3", ttype:CONST},

1159−{input:"\\unlhd", tag:"mo", output:"\u22B4", ttype:CONST},

1160−{input:"\\unrhd", tag:"mo", output:"\u22B5", ttype:CONST},

1161−

1162−

1163−//BIG Operators

1164−{input:"\\sum", tag:"mo", output:"\u2211", ttype:UNDEROVER},

1165−{input:"\\prod", tag:"mo", output:"\u220F", ttype:UNDEROVER},

1166−{input:"\\bigcap", tag:"mo", output:"\u22C2", ttype:UNDEROVER},

1167−{input:"\\bigcup", tag:"mo", output:"\u22C3", ttype:UNDEROVER},

1168−{input:"\\bigwedge", tag:"mo", output:"\u22C0", ttype:UNDEROVER},

1169−{input:"\\bigvee", tag:"mo", output:"\u22C1", ttype:UNDEROVER},

1170−{input:"\\bigsqcap", tag:"mo", output:"\u2A05", ttype:UNDEROVER},

1171−{input:"\\bigsqcup", tag:"mo", output:"\u2A06", ttype:UNDEROVER},

1172−{input:"\\coprod", tag:"mo", output:"\u2210", ttype:UNDEROVER},

1173−{input:"\\bigoplus", tag:"mo", output:"\u2A01", ttype:UNDEROVER},

1174−{input:"\\bigotimes", tag:"mo", output:"\u2A02", ttype:UNDEROVER},

1175−{input:"\\bigodot", tag:"mo", output:"\u2A00", ttype:UNDEROVER},

1176−{input:"\\biguplus", tag:"mo", output:"\u2A04", ttype:UNDEROVER},

1177−{input:"\\int", tag:"mo", output:"\u222B", ttype:CONST},

1178−{input:"\\oint", tag:"mo", output:"\u222E", ttype:CONST},

1179−

1180−//binary relation symbols

1181−{input:":=", tag:"mo", output:":=", ttype:CONST},

1182−{input:"\\lt", tag:"mo", output:"<", ttype:CONST},

1183−{input:"\\gt", tag:"mo", output:">", ttype:CONST},

1184−{input:"\\ne", tag:"mo", output:"\u2260", ttype:CONST},

1185−{input:"\\neq", tag:"mo", output:"\u2260", ttype:CONST},

1186−{input:"\\le", tag:"mo", output:"\u2264", ttype:CONST},

1187−{input:"\\leq", tag:"mo", output:"\u2264", ttype:CONST},

1188−{input:"\\leqslant", tag:"mo", output:"\u2264", ttype:CONST},

1189−{input:"\\ge", tag:"mo", output:"\u2265", ttype:CONST},

1190−{input:"\\geq", tag:"mo", output:"\u2265", ttype:CONST},

1191−{input:"\\geqslant", tag:"mo", output:"\u2265", ttype:CONST},

1192−{input:"\\equiv", tag:"mo", output:"\u2261", ttype:CONST},

1193−{input:"\\ll", tag:"mo", output:"\u226A", ttype:CONST},

1194−{input:"\\gg", tag:"mo", output:"\u226B", ttype:CONST},

1195−{input:"\\doteq", tag:"mo", output:"\u2250", ttype:CONST},

1196−{input:"\\prec", tag:"mo", output:"\u227A", ttype:CONST},

1197−{input:"\\succ", tag:"mo", output:"\u227B", ttype:CONST},

1198−{input:"\\preceq", tag:"mo", output:"\u227C", ttype:CONST},

1199−{input:"\\succeq", tag:"mo", output:"\u227D", ttype:CONST},

1200−{input:"\\subset", tag:"mo", output:"\u2282", ttype:CONST},

1201−{input:"\\supset", tag:"mo", output:"\u2283", ttype:CONST},

1202−{input:"\\subseteq", tag:"mo", output:"\u2286", ttype:CONST},

1203−{input:"\\supseteq", tag:"mo", output:"\u2287", ttype:CONST},

1204−{input:"\\sqsubset", tag:"mo", output:"\u228F", ttype:CONST},

1205−{input:"\\sqsupset", tag:"mo", output:"\u2290", ttype:CONST},

1206−{input:"\\sqsubseteq", tag:"mo", output:"\u2291", ttype:CONST},

1207−{input:"\\sqsupseteq", tag:"mo", output:"\u2292", ttype:CONST},

1208−{input:"\\sim", tag:"mo", output:"\u223C", ttype:CONST},

1209−{input:"\\simeq", tag:"mo", output:"\u2243", ttype:CONST},

1210−{input:"\\approx", tag:"mo", output:"\u2248", ttype:CONST},

1211−{input:"\\cong", tag:"mo", output:"\u2245", ttype:CONST},

1212−{input:"\\Join", tag:"mo", output:"\u22C8", ttype:CONST},

1213−{input:"\\bowtie", tag:"mo", output:"\u22C8", ttype:CONST},

1214−{input:"\\in", tag:"mo", output:"\u2208", ttype:CONST},

1215−{input:"\\ni", tag:"mo", output:"\u220B", ttype:CONST},

1216−{input:"\\owns", tag:"mo", output:"\u220B", ttype:CONST},

1217−{input:"\\propto", tag:"mo", output:"\u221D", ttype:CONST},

1218−{input:"\\vdash", tag:"mo", output:"\u22A2", ttype:CONST},

1219−{input:"\\dashv", tag:"mo", output:"\u22A3", ttype:CONST},

1220−{input:"\\models", tag:"mo", output:"\u22A8", ttype:CONST},

1221−{input:"\\perp", tag:"mo", output:"\u22A5", ttype:CONST},

1222−{input:"\\smile", tag:"mo", output:"\u2323", ttype:CONST},

1223−{input:"\\frown", tag:"mo", output:"\u2322", ttype:CONST},

1224−{input:"\\asymp", tag:"mo", output:"\u224D", ttype:CONST},

1225−{input:"\\notin", tag:"mo", output:"\u2209", ttype:CONST},

1226−

1227−//matrices

1228−{input:"\\begin{eqnarray}", output:"X", ttype:MATRIX, invisible:true},

1229−{input:"\\begin{array}", output:"X", ttype:MATRIX, invisible:true},

1230−{input:"\\\\", output:"}&{", ttype:DEFINITION},

1231−{input:"\\end{eqnarray}", output:"}}", ttype:DEFINITION},

1232−{input:"\\end{array}", output:"}}", ttype:DEFINITION},

1233−

1234−//grouping and literal brackets -- ieval is for IE

1235−{input:"\\big", tag:"mo", output:"X", atval:"1.2", ieval:"2.2", ttype:BIG},

1236−{input:"\\Big", tag:"mo", output:"X", atval:"1.6", ieval:"2.6", ttype:BIG},

1237−{input:"\\bigg", tag:"mo", output:"X", atval:"2.2", ieval:"3.2", ttype:BIG},

1238−{input:"\\Bigg", tag:"mo", output:"X", atval:"2.9", ieval:"3.9", ttype:BIG},

1239−{input:"\\left", tag:"mo", output:"X", ttype:LEFTBRACKET},

1240−{input:"\\right", tag:"mo", output:"X", ttype:RIGHTBRACKET},

1241−{input:"{", output:"{", ttype:LEFTBRACKET, invisible:true},

1242−{input:"}", output:"}", ttype:RIGHTBRACKET, invisible:true},

1243−

1244−{input:"(", tag:"mo", output:"(", atval:"1", ttype:STRETCHY},

1245−{input:"[", tag:"mo", output:"[", atval:"1", ttype:STRETCHY},

1246−{input:"\\lbrack", tag:"mo", output:"[", atval:"1", ttype:STRETCHY},

1247−{input:"\\{", tag:"mo", output:"{", atval:"1", ttype:STRETCHY},

1248−{input:"\\lbrace", tag:"mo", output:"{", atval:"1", ttype:STRETCHY},

1249−{input:"\\langle", tag:"mo", output:"\u2329", atval:"1", ttype:STRETCHY},

1250−{input:"\\lfloor", tag:"mo", output:"\u230A", atval:"1", ttype:STRETCHY},

1251−{input:"\\lceil", tag:"mo", output:"\u2308", atval:"1", ttype:STRETCHY},

1252−

1253−// rtag:"mi" causes space to be inserted before a following sin, cos, etc.

1254−// (see function LMparseExpr() )

1255−{input:")", tag:"mo",output:")", rtag:"mi",atval:"1",ttype:STRETCHY},

1256−{input:"]", tag:"mo",output:"]", rtag:"mi",atval:"1",ttype:STRETCHY},

1257−{input:"\\rbrack",tag:"mo",output:"]", rtag:"mi",atval:"1",ttype:STRETCHY},

1258−{input:"\\}", tag:"mo",output:"}", rtag:"mi",atval:"1",ttype:STRETCHY},

1259−{input:"\\rbrace",tag:"mo",output:"}", rtag:"mi",atval:"1",ttype:STRETCHY},

1260−{input:"\\rangle",tag:"mo",output:"\u232A", rtag:"mi",atval:"1",ttype:STRETCHY},

1261−{input:"\\rfloor",tag:"mo",output:"\u230B", rtag:"mi",atval:"1",ttype:STRETCHY},

1262−{input:"\\rceil", tag:"mo",output:"\u2309", rtag:"mi",atval:"1",ttype:STRETCHY},

1263−

1264−// "|", "\\|", "\\vert" and "\\Vert" modified later: lspace = rspace = 0em

1265−{input:"|", tag:"mo", output:"\u2223", atval:"1", ttype:STRETCHY},

1266−{input:"\\|", tag:"mo", output:"\u2225", atval:"1", ttype:STRETCHY},

1267−{input:"\\vert", tag:"mo", output:"\u2223", atval:"1", ttype:STRETCHY},

1268−{input:"\\Vert", tag:"mo", output:"\u2225", atval:"1", ttype:STRETCHY},

1269−{input:"\\mid", tag:"mo", output:"\u2223", atval:"1", ttype:STRETCHY},

1270−{input:"\\parallel", tag:"mo", output:"\u2225", atval:"1", ttype:STRETCHY},

1271−{input:"/", tag:"mo", output:"/", atval:"1.01", ttype:STRETCHY},

1272−{input:"\\backslash", tag:"mo", output:"\u2216", atval:"1", ttype:STRETCHY},

1273−{input:"\\setminus", tag:"mo", output:"\\", ttype:CONST},

1274−

1275−//miscellaneous symbols

1276−{input:"\\!", tag:"mspace", atname:"width", atval:"-0.167em", ttype:SPACE},

1277−{input:"\\,", tag:"mspace", atname:"width", atval:"0.167em", ttype:SPACE},

1278−{input:"\\>", tag:"mspace", atname:"width", atval:"0.222em", ttype:SPACE},

1279−{input:"\\:", tag:"mspace", atname:"width", atval:"0.222em", ttype:SPACE},

1280−{input:"\\;", tag:"mspace", atname:"width", atval:"0.278em", ttype:SPACE},

1281−{input:"~", tag:"mspace", atname:"width", atval:"0.333em", ttype:SPACE},

1282−{input:"\\quad", tag:"mspace", atname:"width", atval:"1em", ttype:SPACE},

1283−{input:"\\qquad", tag:"mspace", atname:"width", atval:"2em", ttype:SPACE},

1284−//{input:"{}", tag:"mo", output:"\u200B", ttype:CONST}, // zero-width

1285−{input:"\\prime", tag:"mo", output:"\u2032", ttype:CONST},

1286−{input:"'", tag:"mo", output:"\u02B9", ttype:CONST},

1287−{input:"''", tag:"mo", output:"\u02BA", ttype:CONST},

1288−{input:"'''", tag:"mo", output:"\u2034", ttype:CONST},

1289−{input:"''''", tag:"mo", output:"\u2057", ttype:CONST},

1290−{input:"\\ldots", tag:"mo", output:"\u2026", ttype:CONST},

1291−{input:"\\cdots", tag:"mo", output:"\u22EF", ttype:CONST},

1292−{input:"\\vdots", tag:"mo", output:"\u22EE", ttype:CONST},

1293−{input:"\\ddots", tag:"mo", output:"\u22F1", ttype:CONST},

1294−{input:"\\forall", tag:"mo", output:"\u2200", ttype:CONST},

1295−{input:"\\exists", tag:"mo", output:"\u2203", ttype:CONST},

1296−{input:"\\Re", tag:"mo", output:"\u211C", ttype:CONST},

1297−{input:"\\Im", tag:"mo", output:"\u2111", ttype:CONST},

1298−{input:"\\aleph", tag:"mo", output:"\u2135", ttype:CONST},

1299−{input:"\\hbar", tag:"mo", output:"\u210F", ttype:CONST},

1300−{input:"\\ell", tag:"mo", output:"\u2113", ttype:CONST},

1301−{input:"\\wp", tag:"mo", output:"\u2118", ttype:CONST},

1302−{input:"\\emptyset", tag:"mo", output:"\u2205", ttype:CONST},

1303−{input:"\\infty", tag:"mo", output:"\u221E", ttype:CONST},

1304−{input:"\\surd", tag:"mo", output:"\\sqrt{}", ttype:DEFINITION},

1305−{input:"\\partial", tag:"mo", output:"\u2202", ttype:CONST},

1306−{input:"\\nabla", tag:"mo", output:"\u2207", ttype:CONST},

1307−{input:"\\triangle", tag:"mo", output:"\u25B3", ttype:CONST},

1308−{input:"\\therefore", tag:"mo", output:"\u2234", ttype:CONST},

1309−{input:"\\angle", tag:"mo", output:"\u2220", ttype:CONST},

1310−//{input:"\\\\ ", tag:"mo", output:"\u00A0", ttype:CONST},

1311−{input:"\\diamond", tag:"mo", output:"\u22C4", ttype:CONST},

1312−//{input:"\\Diamond", tag:"mo", output:"\u25CA", ttype:CONST},

1313−{input:"\\Diamond", tag:"mo", output:"\u25C7", ttype:CONST},

1314−{input:"\\neg", tag:"mo", output:"\u00AC", ttype:CONST},

1315−{input:"\\lnot", tag:"mo", output:"\u00AC", ttype:CONST},

1316−{input:"\\bot", tag:"mo", output:"\u22A5", ttype:CONST},

1317−{input:"\\top", tag:"mo", output:"\u22A4", ttype:CONST},

1318−{input:"\\square", tag:"mo", output:"\u25AB", ttype:CONST},

1319−{input:"\\Box", tag:"mo", output:"\u25A1", ttype:CONST},

1320−{input:"\\wr", tag:"mo", output:"\u2240", ttype:CONST},

1321−

1322−//standard functions

1323−//Note UNDEROVER *must* have tag:"mo" to work properly

1324−{input:"\\arccos", tag:"mi", output:"arccos", ttype:UNARY, func:true},

1325−{input:"\\arcsin", tag:"mi", output:"arcsin", ttype:UNARY, func:true},

1326−{input:"\\arctan", tag:"mi", output:"arctan", ttype:UNARY, func:true},

1327−{input:"\\arg", tag:"mi", output:"arg", ttype:UNARY, func:true},

1328−{input:"\\cos", tag:"mi", output:"cos", ttype:UNARY, func:true},

1329−{input:"\\cosh", tag:"mi", output:"cosh", ttype:UNARY, func:true},

1330−{input:"\\cot", tag:"mi", output:"cot", ttype:UNARY, func:true},

1331−{input:"\\coth", tag:"mi", output:"coth", ttype:UNARY, func:true},

1332−{input:"\\csc", tag:"mi", output:"csc", ttype:UNARY, func:true},

1333−{input:"\\deg", tag:"mi", output:"deg", ttype:UNARY, func:true},

1334−{input:"\\det", tag:"mi", output:"det", ttype:UNARY, func:true},

1335−{input:"\\dim", tag:"mi", output:"dim", ttype:UNARY, func:true}, //CONST?

1336−{input:"\\exp", tag:"mi", output:"exp", ttype:UNARY, func:true},

1337−{input:"\\gcd", tag:"mi", output:"gcd", ttype:UNARY, func:true}, //CONST?

1338−{input:"\\hom", tag:"mi", output:"hom", ttype:UNARY, func:true},

1339−{input:"\\inf", tag:"mo", output:"inf", ttype:UNDEROVER},

1340−{input:"\\ker", tag:"mi", output:"ker", ttype:UNARY, func:true},

1341−{input:"\\lg", tag:"mi", output:"lg", ttype:UNARY, func:true},

1342−{input:"\\lim", tag:"mo", output:"lim", ttype:UNDEROVER},

1343−{input:"\\liminf", tag:"mo", output:"liminf", ttype:UNDEROVER},

1344−{input:"\\limsup", tag:"mo", output:"limsup", ttype:UNDEROVER},

1345−{input:"\\ln", tag:"mi", output:"ln", ttype:UNARY, func:true},

1346−{input:"\\log", tag:"mi", output:"log", ttype:UNARY, func:true},

1347−{input:"\\max", tag:"mo", output:"max", ttype:UNDEROVER},

1348−{input:"\\min", tag:"mo", output:"min", ttype:UNDEROVER},

1349−{input:"\\Pr", tag:"mi", output:"Pr", ttype:UNARY, func:true},

1350−{input:"\\sec", tag:"mi", output:"sec", ttype:UNARY, func:true},

1351−{input:"\\sin", tag:"mi", output:"sin", ttype:UNARY, func:true},

1352−{input:"\\sinh", tag:"mi", output:"sinh", ttype:UNARY, func:true},

1353−{input:"\\sup", tag:"mo", output:"sup", ttype:UNDEROVER},

1354−{input:"\\tan", tag:"mi", output:"tan", ttype:UNARY, func:true},

1355−{input:"\\tanh", tag:"mi", output:"tanh", ttype:UNARY, func:true},

1356−

1357−//arrows

1358−{input:"\\gets", tag:"mo", output:"\u2190", ttype:CONST},

1359−{input:"\\leftarrow", tag:"mo", output:"\u2190", ttype:CONST},

1360−{input:"\\to", tag:"mo", output:"\u2192", ttype:CONST},

1361−{input:"\\rightarrow", tag:"mo", output:"\u2192", ttype:CONST},

1362−{input:"\\leftrightarrow", tag:"mo", output:"\u2194", ttype:CONST},

1363−{input:"\\uparrow", tag:"mo", output:"\u2191", ttype:CONST},

1364−{input:"\\downarrow", tag:"mo", output:"\u2193", ttype:CONST},

1365−{input:"\\updownarrow", tag:"mo", output:"\u2195", ttype:CONST},

1366−{input:"\\Leftarrow", tag:"mo", output:"\u21D0", ttype:CONST},

1367−{input:"\\Rightarrow", tag:"mo", output:"\u21D2", ttype:CONST},

1368−{input:"\\Leftrightarrow", tag:"mo", output:"\u21D4", ttype:CONST},

1369−{input:"\\iff", tag:"mo", output:"~\\Longleftrightarrow~", ttype:DEFINITION},

1370−{input:"\\Uparrow", tag:"mo", output:"\u21D1", ttype:CONST},

1371−{input:"\\Downarrow", tag:"mo", output:"\u21D3", ttype:CONST},

1372−{input:"\\Updownarrow", tag:"mo", output:"\u21D5", ttype:CONST},

1373−{input:"\\mapsto", tag:"mo", output:"\u21A6", ttype:CONST},

1374−{input:"\\longleftarrow", tag:"mo", output:"\u2190", ttype:LONG},

1375−{input:"\\longrightarrow", tag:"mo", output:"\u2192", ttype:LONG},

1376−{input:"\\longleftrightarrow", tag:"mo", output:"\u2194", ttype:LONG},

1377−{input:"\\Longleftarrow", tag:"mo", output:"\u21D0", ttype:LONG},

1378−{input:"\\Longrightarrow", tag:"mo", output:"\u21D2", ttype:LONG},

1379−{input:"\\implies", tag:"mo", output:"\u21D2", ttype:LONG},

1380−{input:"\\Longleftrightarrow", tag:"mo", output:"\u21D4", ttype:LONG},

1381−{input:"\\longmapsto", tag:"mo", output:"\u21A6", ttype:CONST},

1382− // disaster if LONG

1383−

1384−//commands with argument

1385−

1386−{input:"\\sqrt", tag:"msqrt", output:"sqrt", ttype:UNARY},

1387−{input:"\\root", tag:"mroot", output:"root", ttype:BINARY},

1388−{input:"\\frac", tag:"mfrac", output:"/", ttype:BINARY},

1389−{input:"\\stackrel", tag:"mover", output:"stackrel", ttype:BINARY},

1390−{input:"\\atop", tag:"mfrac", output:"", ttype:INFIX},

1391−{input:"\\choose", tag:"mfrac", output:"", ttype:INFIX},

1392−{input:"_", tag:"msub", output:"_", ttype:INFIX},

1393−{input:"^", tag:"msup", output:"^", ttype:INFIX},

1394−{input:"\\mathrm", tag:"mtext", output:"text", ttype:TEXT},

1395−{input:"\\mbox", tag:"mtext", output:"mbox", ttype:TEXT},

1396−

1397−//diacritical marks

1398−{input:"\\acute", tag:"mover", output:"\u00B4", ttype:UNARY, acc:true},

1399−//{input:"\\acute", tag:"mover", output:"\u0317", ttype:UNARY, acc:true},

1400−//{input:"\\acute", tag:"mover", output:"\u0301", ttype:UNARY, acc:true},

1401−//{input:"\\grave", tag:"mover", output:"\u0300", ttype:UNARY, acc:true},

1402−//{input:"\\grave", tag:"mover", output:"\u0316", ttype:UNARY, acc:true},

1403−{input:"\\grave", tag:"mover", output:"\u0060", ttype:UNARY, acc:true},

1404−{input:"\\breve", tag:"mover", output:"\u02D8", ttype:UNARY, acc:true},

1405−{input:"\\check", tag:"mover", output:"\u02C7", ttype:UNARY, acc:true},

1406−{input:"\\dot", tag:"mover", output:".", ttype:UNARY, acc:true},

1407−{input:"\\ddot", tag:"mover", output:"..", ttype:UNARY, acc:true},

1408−//{input:"\\ddot", tag:"mover", output:"\u00A8", ttype:UNARY, acc:true},

1409−{input:"\\mathring", tag:"mover", output:"\u00B0", ttype:UNARY, acc:true},

1410−{input:"\\vec", tag:"mover", output:"\u20D7", ttype:UNARY, acc:true},

1411−{input:"\\overrightarrow",tag:"mover",output:"\u20D7", ttype:UNARY, acc:true},

1412−{input:"\\overleftarrow",tag:"mover", output:"\u20D6", ttype:UNARY, acc:true},

1413−{input:"\\hat", tag:"mover", output:"\u005E", ttype:UNARY, acc:true},

1414−{input:"\\widehat", tag:"mover", output:"\u0302", ttype:UNARY, acc:true},

1415−{input:"\\tilde", tag:"mover", output:"~", ttype:UNARY, acc:true},

1416−//{input:"\\tilde", tag:"mover", output:"\u0303", ttype:UNARY, acc:true},

1417−{input:"\\widetilde", tag:"mover", output:"\u02DC", ttype:UNARY, acc:true},

1418−{input:"\\bar", tag:"mover", output:"\u203E", ttype:UNARY, acc:true},

1419−{input:"\\overbrace", tag:"mover", output:"\u23B4", ttype:UNARY, acc:true},

1420−{input:"\\overline", tag:"mover", output:"\u00AF", ttype:UNARY, acc:true},

1421−{input:"\\underbrace", tag:"munder", output:"\u23B5", ttype:UNARY, acc:true},

1422−{input:"\\underline", tag:"munder", output:"\u00AF", ttype:UNARY, acc:true},

1423−//{input:"underline", tag:"munder", output:"\u0332", ttype:UNARY, acc:true},

1424−

1425−//typestyles and fonts

1426−{input:"\\displaystyle",tag:"mstyle",atname:"displaystyle",atval:"true", ttype:UNARY},

1427−{input:"\\textstyle",tag:"mstyle",atname:"displaystyle",atval:"false", ttype:UNARY},

1428−{input:"\\scriptstyle",tag:"mstyle",atname:"scriptlevel",atval:"1", ttype:UNARY},

1429−{input:"\\scriptscriptstyle",tag:"mstyle",atname:"scriptlevel",atval:"2", ttype:UNARY},

1430−{input:"\\textrm", tag:"mstyle", output:"\\mathrm", ttype: DEFINITION},

1431−{input:"\\mathbf", tag:"mstyle", atname:"mathvariant", atval:"bold", ttype:UNARY},

1432−{input:"\\textbf", tag:"mstyle", atname:"mathvariant", atval:"bold", ttype:UNARY},

1433−{input:"\\mathit", tag:"mstyle", atname:"mathvariant", atval:"italic", ttype:UNARY},

1434−{input:"\\textit", tag:"mstyle", atname:"mathvariant", atval:"italic", ttype:UNARY},

1435−{input:"\\mathtt", tag:"mstyle", atname:"mathvariant", atval:"monospace", ttype:UNARY},

1436−{input:"\\texttt", tag:"mstyle", atname:"mathvariant", atval:"monospace", ttype:UNARY},

1437−{input:"\\mathsf", tag:"mstyle", atname:"mathvariant", atval:"sans-serif", ttype:UNARY},

1438−{input:"\\mathbb", tag:"mstyle", atname:"mathvariant", atval:"double-struck", ttype:UNARY, codes:AMbbb},

1439−{input:"\\mathcal",tag:"mstyle", atname:"mathvariant", atval:"script", ttype:UNARY, codes:AMcal},

1440−{input:"\\mathfrak",tag:"mstyle",atname:"mathvariant", atval:"fraktur",ttype:UNARY, codes:AMfrk}

1441−];

1442−

1443−var LMnames = []; //list of input symbols

1444−

1445−function LMremoveCharsAndBlanks(str,n) {

1446−//remove n characters and any following blanks

1447− var st;

1448− st = str.slice(n);

1449− for (var i=0; i<st.length && st.charCodeAt(i)<=32; i=i+1);

1450− return st.slice(i);

1451−}

1452−

1453−function LMgetSymbol(str) {

1454−//return maximal initial substring of str that appears in names

1455−//return null if there is none

1456− var k = 0; //new pos

1457− var j = 0; //old pos

1458− var mk; //match pos

1459− var st;

1460− var tagst;

1461− var match = "";

1462− var more = true;

1463− for (var i=1; i<=str.length && more; i++) {

1464− st = str.slice(0,i); //initial substring of length i

1465− j = k;

1466− k = position(LMnames, st, j);

1467− if (k<LMnames.length && str.slice(0,LMnames[k].length)==LMnames[k]){

1468− match = LMnames[k];

1469− mk = k;

1470− i = match.length;

1471− }

1472− more = k<LMnames.length && str.slice(0,LMnames[k].length)>=LMnames[k];

1473− }

1474− LMpreviousSymbol=LMcurrentSymbol;

1475− if (match!=""){

1476− LMcurrentSymbol=LMsymbols[mk].ttype;

1477− return LMsymbols[mk];

1478− }

1479− LMcurrentSymbol=CONST;

1480− k = 1;

1481− st = str.slice(0,1); //take 1 character

1482− if ("0"<=st && st<="9") tagst = "mn";

1483− else tagst = (("A">st || st>"Z") && ("a">st || st>"z")?"mo":"mi");

1484−/*

1485−// Commented out by DRW (not fully understood, but probably to do with

1486−// use of "/" as an INFIX version of "\\frac", which we don't want):

1487−//}

1488−//if (st=="-" && LMpreviousSymbol==INFIX) {

1489−// LMcurrentSymbol = INFIX; //trick "/" into recognizing "-" on second parse

1490−// return {input:st, tag:tagst, output:st, ttype:UNARY, func:true};

1491−//}

1492−*/

1493− return {input:st, tag:tagst, output:st, ttype:CONST};

1494−}

1495−

1496−

1497−/*Parsing ASCII math expressions with the following grammar

1498−v ::= [A-Za-z] | greek letters | numbers | other constant symbols

1499−u ::= sqrt | text | bb | other unary symbols for font commands

1500−b ::= frac | root | stackrel binary symbols

1501−l ::= { | \left left brackets

1502−r ::= } | \right right brackets

1503−S ::= v | lEr | uS | bSS Simple expression

1504−I ::= S_S | S^S | S_S^S | S Intermediate expression

1505−E ::= IE | I/I Expression

1506−Each terminal symbol is translated into a corresponding mathml node.*/

1507−

1508−var LMpreviousSymbol,LMcurrentSymbol;

1509−

1510−function LMparseSexpr(str) { //parses str and returns [node,tailstr,(node)tag]

1511− var symbol, node, result, result2, i, st,// rightvert = false,

1512− newFrag = document.createDocumentFragment();

1513− str = LMremoveCharsAndBlanks(str,0);

1514− symbol = LMgetSymbol(str); //either a token or a bracket or empty

1515− if (symbol == null || symbol.ttype == RIGHTBRACKET)

1516− return [null,str,null];

1517− if (symbol.ttype == DEFINITION) {

1518− str = symbol.output+LMremoveCharsAndBlanks(str,symbol.input.length);

1519− symbol = LMgetSymbol(str);

1520− if (symbol == null || symbol.ttype == RIGHTBRACKET)

1521− return [null,str,null];

1522− }

1523− str = LMremoveCharsAndBlanks(str,symbol.input.length);

1524− switch (symbol.ttype) {

1525− case SPACE:

1526− node = createMmlNode(symbol.tag);

1527− node.setAttribute(symbol.atname,symbol.atval);

1528− return [node,str,symbol.tag];

1529− case UNDEROVER:

1530− if (isIE) {

1531− if (symbol.input.substr(0,4) == "\\big") { // botch for missing symbols

1532− str = "\\"+symbol.input.substr(4)+str; // make \bigcup = \cup etc.

1533− symbol = LMgetSymbol(str);

1534− symbol.ttype = UNDEROVER;

1535− str = LMremoveCharsAndBlanks(str,symbol.input.length);

1536− }

1537− }

1538− return [createMmlNode(symbol.tag,

1539− document.createTextNode(symbol.output)),str,symbol.tag];

1540− case CONST:

1541− var output = symbol.output;

1542− if (isIE) {

1543− if (symbol.input == "'")

1544− output = "\u2032";

1545− else if (symbol.input == "''")

1546− output = "\u2033";

1547− else if (symbol.input == "'''")

1548− output = "\u2033\u2032";

1549− else if (symbol.input == "''''")

1550− output = "\u2033\u2033";

1551− else if (symbol.input == "\\square")

1552− output = "\u25A1"; // same as \Box

1553− else if (symbol.input.substr(0,5) == "\\frac") {

1554− // botch for missing fractions

1555− var denom = symbol.input.substr(6,1);

1556− if (denom == "5" || denom == "6") {

1557− str = symbol.input.replace(/\\frac/,"\\frac ")+str;

1558− return [node,str,symbol.tag];

1559− }

1560− }

1561− }

1562− node = createMmlNode(symbol.tag,document.createTextNode(output));

1563− return [node,str,symbol.tag];

1564− case LONG: // added by DRW

1565− node = createMmlNode(symbol.tag,document.createTextNode(symbol.output));

1566− node.setAttribute("minsize","1.5");

1567− node.setAttribute("maxsize","1.5");

1568− node = createMmlNode("mover",node);

1569− node.appendChild(createMmlNode("mspace"));

1570− return [node,str,symbol.tag];

1571− case STRETCHY: // added by DRW

1572− if (isIE && symbol.input == "\\backslash")

1573− symbol.output = "\\"; // doesn't expand, but then nor does "\u2216"

1574− node = createMmlNode(symbol.tag,document.createTextNode(symbol.output));

1575− if (symbol.input == "|" || symbol.input == "\\vert" ||

1576− symbol.input == "\\|" || symbol.input == "\\Vert") {

1577− node.setAttribute("lspace","0em");

1578− node.setAttribute("rspace","0em");

1579− }

1580− node.setAttribute("maxsize",symbol.atval); // don't allow to stretch here

1581− if (symbol.rtag != null)

1582− return [node,str,symbol.rtag];

1583− else

1584− return [node,str,symbol.tag];

1585− case BIG: // added by DRW

1586− var atval = symbol.atval;

1587− if (isIE)

1588− atval = symbol.ieval;

1589− symbol = LMgetSymbol(str);

1590− if (symbol == null)

1591− return [null,str,null];

1592− str = LMremoveCharsAndBlanks(str,symbol.input.length);

1593− node = createMmlNode(symbol.tag,document.createTextNode(symbol.output));

1594− if (isIE) { // to get brackets to expand

1595− var space = createMmlNode("mspace");

1596− space.setAttribute("height",atval+"ex");

1597− node = createMmlNode("mrow",node);

1598− node.appendChild(space);

1599− } else { // ignored in IE

1600− node.setAttribute("minsize",atval);

1601− node.setAttribute("maxsize",atval);

1602− }

1603− return [node,str,symbol.tag];

1604− case LEFTBRACKET: //read (expr+)

1605− if (symbol.input == "\\left") { // left what?

1606− symbol = LMgetSymbol(str);

1607− if (symbol != null) {

1608− if (symbol.input == ".")

1609− symbol.invisible = true;

1610− str = LMremoveCharsAndBlanks(str,symbol.input.length);

1611− }

1612− }

1613− result = LMparseExpr(str,true,false);

1614− if (symbol==null ||

1615− (typeof symbol.invisible == "boolean" && symbol.invisible))

1616− node = createMmlNode("mrow",result[0]);

1617− else {

1618− node = createMmlNode("mo",document.createTextNode(symbol.output));

1619− node = createMmlNode("mrow",node);

1620− node.appendChild(result[0]);

1621− }

1622− return [node,result[1],result[2]];

1623− case MATRIX: //read (expr+)

1624− if (symbol.input == "\\begin{array}") {

1625− var mask = "";

1626− symbol = LMgetSymbol(str);

1627− str = LMremoveCharsAndBlanks(str,0);

1628− if (symbol == null)

1629− mask = "l";

1630− else {

1631− str = LMremoveCharsAndBlanks(str,symbol.input.length);

1632− if (symbol.input != "{")

1633− mask = "l";

1634− else do {

1635− symbol = LMgetSymbol(str);

1636− if (symbol != null) {

1637− str = LMremoveCharsAndBlanks(str,symbol.input.length);

1638− if (symbol.input != "}")

1639− mask = mask+symbol.input;

1640− }

1641− } while (symbol != null && symbol.input != "" && symbol.input != "}");

1642− }

1643− result = LMparseExpr("{"+str,true,true);

1644−// if (result[0]==null) return [createMmlNode("mo",

1645−// document.createTextNode(symbol.input)),str];

1646− node = createMmlNode("mtable",result[0]);

1647− mask = mask.replace(/l/g,"left ");

1648− mask = mask.replace(/r/g,"right ");

1649− mask = mask.replace(/c/g,"center ");

1650− node.setAttribute("columnalign",mask);

1651− node.setAttribute("displaystyle","false");

1652− if (isIE)

1653− return [node,result[1],null];

1654−// trying to get a *little* bit of space around the array

1655−// (IE already includes it)

1656− var lspace = createMmlNode("mspace");

1657− lspace.setAttribute("width","0.167em");

1658− var rspace = createMmlNode("mspace");

1659− rspace.setAttribute("width","0.167em");

1660− var node1 = createMmlNode("mrow",lspace);

1661− node1.appendChild(node);

1662− node1.appendChild(rspace);

1663− return [node1,result[1],null];

1664− } else { // eqnarray

1665− result = LMparseExpr("{"+str,true,true);

1666− node = createMmlNode("mtable",result[0]);

1667− if (isIE)

1668− node.setAttribute("columnspacing","0.25em"); // best in practice?

1669− else

1670− node.setAttribute("columnspacing","0.167em"); // correct (but ignored?)

1671− node.setAttribute("columnalign","right center left");

1672− node.setAttribute("displaystyle","true");

1673− node = createMmlNode("mrow",node);

1674− return [node,result[1],null];

1675− }

1676− case TEXT:

1677− if (str.charAt(0)=="{") i=str.indexOf("}");

1678− else i = 0;

1679− if (i==-1)

1680− i = str.length;

1681− st = str.slice(1,i);

1682− if (st.charAt(0) == " ") {

1683− node = createMmlNode("mspace");

1684− node.setAttribute("width","0.33em"); // was 1ex

1685− newFrag.appendChild(node);

1686− }

1687− newFrag.appendChild(

1688− createMmlNode(symbol.tag,document.createTextNode(st)));

1689− if (st.charAt(st.length-1) == " ") {

1690− node = createMmlNode("mspace");

1691− node.setAttribute("width","0.33em"); // was 1ex

1692− newFrag.appendChild(node);

1693− }

1694− str = LMremoveCharsAndBlanks(str,i+1);

1695− return [createMmlNode("mrow",newFrag),str,null];

1696− case UNARY:

1697− result = LMparseSexpr(str);

1698− if (result[0]==null) return [createMmlNode(symbol.tag,

1699− document.createTextNode(symbol.output)),str];

1700− if (typeof symbol.func == "boolean" && symbol.func) { // functions hack

1701− st = str.charAt(0);

1702−// if (st=="^" || st=="_" || st=="/" || st=="|" || st==",") {

1703− if (st=="^" || st=="_" || st==",") {

1704− return [createMmlNode(symbol.tag,

1705− document.createTextNode(symbol.output)),str,symbol.tag];

1706− } else {

1707− node = createMmlNode("mrow",

1708− createMmlNode(symbol.tag,document.createTextNode(symbol.output)));

1709− if (isIE) {

1710− var space = createMmlNode("mspace");

1711− space.setAttribute("width","0.167em");

1712− node.appendChild(space);

1713− }

1714− node.appendChild(result[0]);

1715− return [node,result[1],symbol.tag];

1716− }

1717− }

1718− if (symbol.input == "\\sqrt") { // sqrt

1719− if (isIE) { // set minsize, for \surd

1720− var space = createMmlNode("mspace");

1721− space.setAttribute("height","1.2ex");

1722− space.setAttribute("width","0em"); // probably no effect

1723− node = createMmlNode(symbol.tag,result[0])

1724−// node.setAttribute("minsize","1"); // ignored

1725−// node = createMmlNode("mrow",node); // hopefully unnecessary

1726− node.appendChild(space);

1727− return [node,result[1],symbol.tag];

1728− } else

1729− return [createMmlNode(symbol.tag,result[0]),result[1],symbol.tag];

1730− } else if (typeof symbol.acc == "boolean" && symbol.acc) { // accent

1731− node = createMmlNode(symbol.tag,result[0]);

1732− var output = symbol.output;

1733− if (isIE) {

1734− if (symbol.input == "\\hat")

1735− output = "\u0302";

1736− else if (symbol.input == "\\widehat")

1737− output = "\u005E";

1738− else if (symbol.input == "\\bar")

1739− output = "\u00AF";

1740− else if (symbol.input == "\\grave")

1741− output = "\u0300";

1742− else if (symbol.input == "\\tilde")

1743− output = "\u0303";

1744− }

1745− var node1 = createMmlNode("mo",document.createTextNode(output));

1746− if (symbol.input == "\\vec" || symbol.input == "\\check")

1747− // don't allow to stretch

1748− node1.setAttribute("maxsize","1.2");

1749− // why doesn't "1" work? \vec nearly disappears in firefox

1750− if (isIE && symbol.input == "\\bar")

1751− node1.setAttribute("maxsize","0.5");

1752− if (symbol.input == "\\underbrace" || symbol.input == "\\underline")

1753− node1.setAttribute("accentunder","true");

1754− else

1755− node1.setAttribute("accent","true");

1756− node.appendChild(node1);

1757− if (symbol.input == "\\overbrace" || symbol.input == "\\underbrace")

1758− node.ttype = UNDEROVER;

1759− return [node,result[1],symbol.tag];

1760− } else { // font change or displaystyle command

1761− if (!isIE && typeof symbol.codes != "undefined") {

1762− for (i=0; i<result[0].childNodes.length; i++)

1763− if (result[0].childNodes[i].nodeName=="mi" || result[0].nodeName=="mi") {

1764− st = (result[0].nodeName=="mi"?result[0].firstChild.nodeValue:

1765− result[0].childNodes[i].firstChild.nodeValue);

1766− var newst = [];

1767− for (var j=0; j<st.length; j++)

1768− if (st.charCodeAt(j)>64 && st.charCodeAt(j)<91) newst = newst +

1769− String.fromCharCode(symbol.codes[st.charCodeAt(j)-65]);

1770− else newst = newst + st.charAt(j);

1771− if (result[0].nodeName=="mi")

1772− result[0]=createMmlNode("mo").

1773− appendChild(document.createTextNode(newst));

1774− else result[0].replaceChild(createMmlNode("mo").

1775− appendChild(document.createTextNode(newst)),result[0].childNodes[i]);

1776− }

1777− }

1778− node = createMmlNode(symbol.tag,result[0]);

1779− node.setAttribute(symbol.atname,symbol.atval);

1780− if (symbol.input == "\\scriptstyle" ||

1781− symbol.input == "\\scriptscriptstyle")

1782− node.setAttribute("displaystyle","false");

1783− return [node,result[1],symbol.tag];

1784− }

1785− case BINARY:

1786− result = LMparseSexpr(str);

1787− if (result[0]==null) return [createMmlNode("mo",

1788− document.createTextNode(symbol.input)),str,null];

1789− result2 = LMparseSexpr(result[1]);

1790− if (result2[0]==null) return [createMmlNode("mo",

1791− document.createTextNode(symbol.input)),str,null];

1792− if (symbol.input=="\\root" || symbol.input=="\\stackrel")

1793− newFrag.appendChild(result2[0]);

1794− newFrag.appendChild(result[0]);

1795− if (symbol.input=="\\frac") newFrag.appendChild(result2[0]);

1796− return [createMmlNode(symbol.tag,newFrag),result2[1],symbol.tag];

1797− case INFIX:

1798− str = LMremoveCharsAndBlanks(str,symbol.input.length);

1799− return [createMmlNode("mo",document.createTextNode(symbol.output)),

1800− str,symbol.tag];

1801− default:

1802− return [createMmlNode(symbol.tag, //its a constant

1803− document.createTextNode(symbol.output)),str,symbol.tag];

1804− }

1805−}

1806−

1807−function LMparseIexpr(str) {

1808− var symbol, sym1, sym2, node, result, tag, underover;

1809− str = LMremoveCharsAndBlanks(str,0);

1810− sym1 = LMgetSymbol(str);

1811− result = LMparseSexpr(str);

1812− node = result[0];

1813− str = result[1];

1814− tag = result[2];

1815− symbol = LMgetSymbol(str);

1816− if (symbol.ttype == INFIX) {

1817− str = LMremoveCharsAndBlanks(str,symbol.input.length);

1818− result = LMparseSexpr(str);

1819− if (result[0] == null) // show box in place of missing argument

1820− result[0] = createMmlNode("mo",document.createTextNode("\u25A1"));

1821− str = result[1];

1822− tag = result[2];

1823− if (symbol.input == "_" || symbol.input == "^") {

1824− sym2 = LMgetSymbol(str);

1825− tag = null; // no space between x^2 and a following sin, cos, etc.

1826−// This is for \underbrace and \overbrace

1827− underover = ((sym1.ttype == UNDEROVER) || (node.ttype == UNDEROVER));

1828−// underover = (sym1.ttype == UNDEROVER);

1829− if (symbol.input == "_" && sym2.input == "^") {

1830− str = LMremoveCharsAndBlanks(str,sym2.input.length);

1831− var res2 = LMparseSexpr(str);

1832− str = res2[1];

1833− tag = res2[2]; // leave space between x_1^2 and a following sin etc.

1834− node = createMmlNode((underover?"munderover":"msubsup"),node);

1835− node.appendChild(result[0]);

1836− node.appendChild(res2[0]);

1837− } else if (symbol.input == "_") {

1838− node = createMmlNode((underover?"munder":"msub"),node);

1839− node.appendChild(result[0]);

1840− } else {

1841− node = createMmlNode((underover?"mover":"msup"),node);

1842− node.appendChild(result[0]);

1843− }

1844− node = createMmlNode("mrow",node); // so sum does not stretch

1845− } else {

1846− node = createMmlNode(symbol.tag,node);

1847− if (symbol.input == "\\atop" || symbol.input == "\\choose")

1848− node.setAttribute("linethickness","0ex");

1849− node.appendChild(result[0]);

1850− if (symbol.input == "\\choose")

1851− node = createMmlNode("mfenced",node);

1852− }

1853− }

1854− return [node,str,tag];

1855−}

1856−

1857−function LMparseExpr(str,rightbracket,matrix) {

1858− var symbol, node, result, i, tag,

1859− newFrag = document.createDocumentFragment();

1860− do {

1861− str = LMremoveCharsAndBlanks(str,0);

1862− result = LMparseIexpr(str);

1863− node = result[0];

1864− str = result[1];

1865− tag = result[2];

1866− symbol = LMgetSymbol(str);

1867− if (node!=undefined) {

1868− if ((tag == "mn" || tag == "mi") && symbol!=null &&

1869− typeof symbol.func == "boolean" && symbol.func) {

1870− // Add space before \sin in 2\sin x or x\sin x

1871− var space = createMmlNode("mspace");

1872− space.setAttribute("width","0.167em");

1873− node = createMmlNode("mrow",node);

1874− node.appendChild(space);

1875− }

1876− newFrag.appendChild(node);

1877− }

1878− } while ((symbol.ttype != RIGHTBRACKET)

1879− && symbol!=null && symbol.output!="");

1880− tag = null;

1881− if (symbol.ttype == RIGHTBRACKET) {

1882− if (symbol.input == "\\right") { // right what?

1883− str = LMremoveCharsAndBlanks(str,symbol.input.length);

1884− symbol = LMgetSymbol(str);

1885− if (symbol != null && symbol.input == ".")

1886− symbol.invisible = true;

1887− if (symbol != null)

1888− tag = symbol.rtag;

1889− }

1890− if (symbol!=null)

1891− str = LMremoveCharsAndBlanks(str,symbol.input.length); // ready to return

1892− var len = newFrag.childNodes.length;

1893− if (matrix &&

1894− len>0 && newFrag.childNodes[len-1].nodeName == "mrow" && len>1 &&

1895− newFrag.childNodes[len-2].nodeName == "mo" &&

1896− newFrag.childNodes[len-2].firstChild.nodeValue == "&") { //matrix

1897− var pos = []; // positions of ampersands

1898− var m = newFrag.childNodes.length;

1899− for (i=0; matrix && i<m; i=i+2) {

1900− pos[i] = [];

1901− node = newFrag.childNodes[i];

1902− for (var j=0; j<node.childNodes.length; j++)

1903− if (node.childNodes[j].firstChild.nodeValue=="&")

1904− pos[i][pos[i].length]=j;

1905− }

1906− var row, frag, n, k, table = document.createDocumentFragment();

1907− for (i=0; i<m; i=i+2) {

1908− row = document.createDocumentFragment();

1909− frag = document.createDocumentFragment();

1910− node = newFrag.firstChild; // <mrow> -&-&...&-&- </mrow>

1911− n = node.childNodes.length;

1912− k = 0;

1913− for (j=0; j<n; j++) {

1914− if (typeof pos[i][k] != "undefined" && j==pos[i][k]){

1915− node.removeChild(node.firstChild); //remove &

1916− row.appendChild(createMmlNode("mtd",frag));

1917− k++;

1918− } else frag.appendChild(node.firstChild);

1919− }

1920− row.appendChild(createMmlNode("mtd",frag));

1921− if (newFrag.childNodes.length>2) {

1922− newFrag.removeChild(newFrag.firstChild); //remove <mrow> </mrow>

1923− newFrag.removeChild(newFrag.firstChild); //remove <mo>&</mo>

1924− }

1925− table.appendChild(createMmlNode("mtr",row));

1926− }

1927− return [table,str];

1928− }

1929− if (typeof symbol.invisible != "boolean" || !symbol.invisible) {

1930− node = createMmlNode("mo",document.createTextNode(symbol.output));

1931− newFrag.appendChild(node);

1932− }

1933− }

1934− return [newFrag,str,tag];

1935−}

1936−

1937−var tcnt = 0, dcnt = 0; //theorem and definition counters

1938−

1939−function simpleLaTeXformatting(st) {

1940− st = st.replace(/\$\$((.|\n)*?)\$\$/g,"<p align=\"center\">$\\displaystyle{$1}$</p>");

1941− 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>"});

1942− 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,"")});

1943− st = st.replace(/\\begin{proof}((.|\n)*?)\\end{proof}/g,function(s,t){return "<i>Proof:</i> "+t.replace(/^\s*<\/?\w+\/?>|\s*<\/?\w+\/?>$/g,"")+" □"});

1944− st = st.replace(/\\emph{(.*?)}/g,"<em>$1</em>");

1945− st = st.replace(/\\textbf{(.*?)}/g,"<b>$1</b>");

1946− st = st.replace(/\\cite{(.*?)}/g,"[$1]");

1947− st = st.replace(/\\chapter{(.*?)}/g,"<h2>$1</h2>");

1948− st = st.replace(/\\section{(.*?)}(\s*<\/?(br|p)\s?\/?>)?/g,"<h3>$1</h3>");

1949− st = st.replace(/\\subsection{((.|\n)*?)}/g,"<h4>$1</h4>");

1950− st = st.replace(/\\begin{itemize}(\s*<\/?(br|p)\s?\/?>)?/g,"<ul>");

1951− st = st.replace(/\\item\s((.|\n)*?)(?=(\\item|\\end))/g,"<li>$1</li>");

1952− st = st.replace(/\\end{itemize}(\s*<\/?(br|p)\s?\/?>)?/g,"</ul>");

1953− st = st.replace(/\\begin{enumerate}(\s*<\/?(br|p)\s?\/?>)?/g,"<ol>");

1954− st = st.replace(/\\end{enumerate}(\s*<\/?(br|p)\s?\/?>)?/g,"</ol>");

1955− st = st.replace(/\\item\[(.*?)]{(.*?)}/g,"<dt>$1</dt><dd>$2</dd>");

1956− st = st.replace(/\\begin{description}/g,"<dl>");

1957− st = st.replace(/\\end{description}/g,"</dl>");

1958− st = st.replace(/\\newline\b/g,"<br/>");

1959− st = st.replace(/\\newpage\b/g,"<br style=\"page-break-after:always;\">");

1960− st = st.replace(/\\par\b/g,"<p> </p>");

1961− st = st.replace(/\\bigskip/g,"<p style=\"margin-bottom:0.5in\"> </p>");

1962− st = st.replace(/\\medskip/g,"<p style=\"margin-bottom:0.3in\"> </p>");

1963− st = st.replace(/\\smallskip/g,"<p style=\"margin-bottom:0.15in\"> </p>");

1964− st = st.replace(/\\begin{center}((.|\n)*?)\\end{center}/g,"<center>$1</center>");

1965− return st

1966−}

1967−

1968−function ASCIIandgraphformatting(st) {

1969− st = st.replace(/<sup>(.*?)<\/sup>(\s|(\S))/gi,"^{$1} $3");

1970−//st = st.replace(/<\/?font.*?>/gi,""); // do this only in amath...endamath

1971− st = st.replace(/(Proof:)/g,"<i>$1</i>");

1972− st = st.replace(/QED/g,"    □");

1973− st = st.replace(/(\\?end{?a?math}?)/ig,"<span></span>$1");

1974− st = st.replace(/(\bamath\b|\\begin{a?math})/ig,"<span></span>$1");

1976− st = st.replace(/<embed\s+class\s?=\s?"?ASCIIsvg"?/gi,"<embed class=\"ASCIIsvg\" src=\""+dsvglocation+"d.svg\" wmode=\"transparent\"");

1977− 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>"});

1978− st = st.replace(/insertASCIIMathCalculator/g,"<div class=\"ASCIIMathCalculator\"></div>");

1979−//alert(dsvglocation)

1980− return st

1981−}

1982−

1983−function LMprocessNode(n) {

1984− var frag,st;

1985− try {

1986− st = n.innerHTML;

1987− } catch(err) {}

1988− var am = /amath\b|graph/i.test(st);

1989− if ((st==null || st.indexOf("\$ ")!=-1 || st.indexOf("\$<")!=-1 ||

1990− st.indexOf("\\begin")!=-1 || am || st.slice(-1)=="$" ||

1991− st.indexOf("\$\n")!=-1)&& !/edit-content|HTMLArea|wikiedit|wpTextbox1/.test(st)){

1992− if (!avoidinnerHTML && translateLaTeXformatting)

1993− st = simpleLaTeXformatting(st);

1994− if (st!=null && am && !avoidinnerHTML) {

1995− st = ASCIIandgraphformatting(st);

1996− }

1997− st = st.replace(/%7E/g,"~"); // else PmWiki has url issues

1998−//alert(st)

1999− if (!avoidinnerHTML) n.innerHTML = st;

2000− processNodeR(n,false,true);

2001− }

2002−/* if (isIE) { //needed to match size and font of formula to surrounding text

2003− frag = document.getElementsByTagName('math');

2004− for (var i=0;i<frag.length;i++) frag[i].update() //is this really needed?

2005− }*/

2006−}

2007−

2008−/* ASCIIsvg.js

2009−==============

2010−JavaScript routines to dynamically generate Scalable Vector Graphics

2011−using a mathematical xy-coordinate system (y increases upwards) and

2012−very intuitive JavaScript commands (no programming experience required).

2013−ASCIIsvg.js is good for learning math and illustrating online math texts.

2014−Works with Internet Explorer+Adobe SVGviewer and SVG enabled Mozilla/Firefox.

2015−

2016−Ver 1.2.9 July 31, 2007 (c) Peter Jipsen http://www.chapman.edu/~jipsen

2017−Latest version at http://math.chapman.edu/~jipsen/math/pub/ASCIIsvg.js

2018−If you use it on a webpage, please send the URL to jipsen@chapman.edu

2019−

2020−This program is free software; you can redistribute it and/or modify

2021−it under the terms of the GNU Lesser General Public License as published by

2022−the Free Software Foundation; either version 2.1 of the License, or (at

2023−your option) any later version.

2024−

2025−This program is distributed in the hope that it will be useful,

2026−but WITHOUT ANY WARRANTY; without even the implied warranty of

2027−MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser

2028−General Public License (at http://www.gnu.org/license/lgpl.html)

2029−for more details.*/

2030−

2031−// you can change these

2032−var checkIfSVGavailable = true;

2033−var notifyIfNoSVG = true;

2034−var alertIfNoSVG = false;

2035−var noSVG = false;

2036−

2037−// global defaults used if not specified by graph (you can change these)

2038−var defaultwidth = 300; defaultheight = 200; // in pixels

2039−var defaultxmin = -5.5; defaultxmax = 5.5; // in usercoords

2040−var defaultborder = 0; border = defaultborder; // in pixel

2041−var defaultstrokewidth = "1"; // default line width in pixel

2042−var defaultstroke = "blue"; // default line color

2043−var defaultstrokeopacity = 1; // transparent = 0, solid =1

2044−var defaultstrokedasharray = null; // "10,10" gives 10px long dashes

2045−var defaultfill = "none"; // default fill color

2046−var defaultfillopacity = 1; // transparent = 0, solid =1

2047−var defaultfontstyle = "normal"; // default text shape normal|italic|inherit

2048−var defaultfontfamily = "times"; // default font times|ariel|helvetica|...

2049−var defaultfontsize = "16"; // default size (scaled automatically)

2050−var defaultfontweight = "normal";// normal|bold|bolder|lighter|100|...|900

2051−var defaultfontstroke = "none"; // default font outline color

2052−var defaultfontfill = "none"; // default font color

2053−var defaultmarker = "none"; // "dot" | "arrow" | "+" | "-" | "|"

2054−var defaultendpoints = ""; // "c-d" where c is <|o|* and d is >|o|*

2055−

2056−// global values used for all pictures (you can change these)

2057−var showcoordinates = true;

2058−var markerstrokewidth = "1";

2059−var markerstroke = "black";

2060−var markerfill = "yellow";

2061−var markersize = 4;

2062−var arrowfill = stroke;

2063−var dotradius = 4;

2064−var ticklength = 4;

2065−var axesstroke = "black";

2066−var gridstroke = "grey";

2067−var backgroundstyle = "fill-opacity:0; fill:white";

2068−var singlelettersitalic = true;

2069−

2070−// internal variables (probably no need to change these)

2071−var picturepos = null; // position of picture relative to top of HTML page

2072−var xunitlength; // in pixels, used to convert to user coordinates

2073−var yunitlength; // in pixels

2074−var origin = [0,0]; // in pixels (default is bottom left corner)

2075−var above = "above"; // shorthands (to avoid typing quotes)

2076−var below = "below";

2077−var left = "left";

2078−var right = "right";

2079−var aboveleft = "aboveleft";

2080−var aboveright = "aboveright";

2081−var belowleft = "belowleft";

2082−var belowright = "belowright";

2083−var xmin, xmax, ymin, ymax, xscl, yscl,

2084− xgrid, ygrid, xtick, ytick, initialized;

2085−var strokewidth, strokedasharray, stroke, fill, strokeopacity, fillopacity;

2086−var fontstyle, fontfamily, fontsize, fontweight, fontstroke, fontfill;

2087−var marker, endpoints, dynamic = {};

2088−var picture, svgpicture, doc, width, height;

2089−var isIE = document.createElementNS==null;

2090−

2091−//this is not used! var cpi = "\u03C0", ctheta = "\u03B8"; // character for pi, theta

2092−var log = function(x) { return ln(x)/ln(10) };

2093−var pi = Math.PI, e = Math.E, ln = Math.log, sqrt = Math.sqrt;

2094−var floor = Math.floor, ceil = Math.ceil, abs = Math.abs;

2095−var sin = Math.sin, cos = Math.cos, tan = Math.tan;

2096−var arcsin = Math.asin, arccos = Math.acos, arctan = Math.atan;

2097−var sec = function(x) { return 1/Math.cos(x) };

2098−var csc = function(x) { return 1/Math.sin(x) };

2099−var cot = function(x) { return 1/Math.tan(x) };

2100−var arcsec = function(x) { return arccos(1/x) };

2101−var arccsc = function(x) { return arcsin(1/x) };

2102−var arccot = function(x) { return arctan(1/x) };

2103−var sinh = function(x) { return (Math.exp(x)-Math.exp(-x))/2 };

2104−var cosh = function(x) { return (Math.exp(x)+Math.exp(-x))/2 };

2105−var tanh =

2106− function(x) { return (Math.exp(x)-Math.exp(-x))/(Math.exp(x)+Math.exp(-x)) };

2107−var sech = function(x) { return 1/cosh(x) };

2108−var csch = function(x) { return 1/sinh(x) };

2109−var coth = function(x) { return 1/tanh(x) };

2110−var arcsinh = function(x) { return ln(x+Math.sqrt(x*x+1)) };

2111−var arccosh = function(x) { return ln(x+Math.sqrt(x*x-1)) };

2112−var arctanh = function(x) { return ln((1+x)/(1-x))/2 };

2113−var sech = function(x) { return 1/cosh(x) };

2114−var csch = function(x) { return 1/sinh(x) };

2115−var coth = function(x) { return 1/tanh(x) };

2116−var arcsech = function(x) { return arccosh(1/x) };

2117−var arccsch = function(x) { return arcsinh(1/x) };

2118−var arccoth = function(x) { return arctanh(1/x) };

2119−var sign = function(x) { return (x==0?0:(x<0?-1:1)) };

2120−

2121−function factorial(x,n) { // Factorial function

2122− if (n==null) n=1;

2123− if (Math.abs(x-Math.round(x*1000000)/1000000)<1e-15)

2124− x = Math.round(x*1000000)/1000000;

2125− if (x-Math.floor(x)!=0) return NaN;

2126− for (var i=x-n; i>0; i-=n) x*=i;

2127− return (x<0?NaN:(x==0?1:x));

2128−}

2129−

2130−function C(x,k) { // Binomial coefficient function

2131− var res=1;

2132− for (var i=0; i<k; i++) res*=(x-i)/(k-i);

2133− return res;

2134−}

2135−

2136−function chop(x,n) { // Truncate decimal number to n places after decimal point

2137− if (n==null) n=0;

2138− return Math.floor(x*Math.pow(10,n))/Math.pow(10,n);

2139−}

2140−

2141−function ran(a,b,n) { // Generate random number in [a,b] with n digits after .

2142− if (n==null) n=0;

2143− return chop((b+Math.pow(10,-n)-a)*Math.random()+a,n);

2144−}

2145−

2146−function myCreateElementSVG(t) {

2147− if (isIE) return doc.createElement(t);

2148− else return doc.createElementNS("http://www.w3.org/2000/svg",t);

2149−}

2150−

2151−function getElementsByClass(container, tagName, clsName){

2152− var list = new Array(0);

2153− var collection = container.getElementsByTagName(tagName);

2154− for(var i = 0; i < collection.length; i++)

2155− if(collection[i].className.slice(0,clsName.length)==clsName)

2156− list[list.length] = collection[i];

2157− return list;

2158−}

2159−

2160−function showobj(obj) {

2161− var st="", i;

2162− for (i in obj)

2163− st += (obj.getAttribute(i)==null?"":" "+i+":"+obj.getAttribute(i));

2164− return st;

2165−}

2166−

2167−function findPos(obj) { // top-left corner of obj on HTML page in pixel

2168− var curleft = curtop = 0;

2169− if (obj.offsetParent) {

2170− curleft = obj.offsetLeft

2171− curtop = obj.offsetTop

2172− while (obj = obj.offsetParent) {

2173− curleft += obj.offsetLeft

2174− curtop += obj.offsetTop

2175−//alert(showobj(obj)+[curleft,curtop])

2176− }

2177− }

2178− return [curleft,curtop];

2179−}

2180−

2181−function checkSVG(){

2182− if (navigator.appName.slice(0,8)=="Netscape")

2183− if (window['SVGElement']) noSVG = null;

2184− else noSVG = true;

2185− else if (navigator.appName.slice(0,9)=="Microsoft")

2186− try {

2187− var oSVG=eval("new ActiveXObject('Adobe.SVGCtl.3');");

2188− noSVG = null;

2189− } catch (e) {

2190− noSVG = true;

2191− }

2192− else if (navigator.appName.slice(0,5)=="Opera") // works only for 9.50b1

2193− noSVG = null;

2194− else noSVG = true;

2195−//noSVG = true; //uncomment to check

2196− if (noSVG && notifyIfNoSVG) {

2197− var msg = "To view the ASCIIsvg images use Internet Explorer + Adobe SVGviewer or Mozilla Firefox 2.0 or later."

2198− if (alertIfNoSVG)

2199− alert(msg);

2200− else return msg;

2201− }

2202−}

2203−

2204−function setText(st,id) { // add text to an existing node with given id

2205− var node = document.getElementById(id);

2206− if (node!=null)

2207− if (node.childNodes.length!=0) node.childNodes[0].nodeValue = st;

2208− else node.appendChild(document.createTextNode(st));

2209−}

2210−

2211−function getX(evt) { // return mouse x-coord in user coordinate system

2212− var svgroot = evt.target.parentNode;

2213− pos = findPos(svgroot.parentNode);

2214− return (evt.clientX+(isIE?0:window.pageXOffset)-pos[0]-svgroot.getAttribute("ox"))/parseFloat(svgroot.getAttribute("xunitlength"));

2215−}

2216−

2217−function getY(evt) { // return mouse y-coord in user coordinate system

2218− var svgroot = evt.target.parentNode;

2219− pos = findPos(svgroot.parentNode);

2220−//alert(showobj(svgroot)+svgroot.getAttribute("mytop"))

2221− return (svgroot.getAttribute("height")-svgroot.getAttribute("oy")-(evt.clientY+(isIE?0:window.pageYOffset)-pos[1]))/parseFloat(svgroot.getAttribute("yunitlength"));

2222−}

2223−

2224−function translateandeval(src) { //modify user input to JavaScript syntax

2225− var errstr;

2226− // replace plot(f(x),...) with plot("f(x)",...)

2227− src = src.replace(/plot\(\x20*([^\"f\[][^\n\r;]+?)\,/g,"plot\(\"$1\",");

2228− src = src.replace(/plot$\x20*([^\"f\[][^\n\r;]+)$/g,"plot(\"$1\")");

2229−

2230− // replace (expr,expr) by [expr,expr] where expr has no (,) in it

2231− src = src.replace(/([=[(,]\x20*)$([-a-z0-9./+*]+?),([-a-z0-9./+*]+?)$/g,"$1[$2,$3]");

2232−//alert(src)

2233− // insert * between digit and letter e.g. 2x --> 2*x

2234− src = src.replace(/([0-9])([a-df-zA-Z]|e^)/g,"$1*$2");

2235− src = src.replace(/\)([$0-9a-zA-Z])/g,"$*$1");

2236−

2237− try {

2238− with (Math) eval(src); // here the svgpicture object is created

2239− } catch(err) {

2240− if (err!="wait") {

2241−//alert(dsvglocation)

2242− if (typeof err=="object")

2243− errstr = err.name+" "+err.message+" "+err.number+" "+err.description;

2244− else errstr = err;

2245− alert(errstr+"\n"+src)

2246− }

2247− }

2248−}

2249−

2250−var lastSlot = 0;

2251−

2252−function drawPictures() { // main routine; called after webpage has loaded

2253− var src, id, dsvg, nd, node, ht, index, cols, arr, i, node2;

2254− var ASbody = document.getElementsByTagName("body")[0];

2255− pictures = getElementsByClass(ASbody,"embed","ASCIIsvg");

2256− var len = pictures.length;

2257− if(len==0) return;

2258− for (index = lastSlot; index < len+lastSlot; index++) {

2259− width = null; height = null;

2260− xmin = null; xmax = null; ymin = null; ymax = null;

2261− xscl = null; xgrid = null; yscl = null; ygrid = null;

2262− initialized = false;

2263− picture = pictures[index-lastSlot]; // current picture object

2264− src = picture.getAttribute("script"); // get the ASCIIsvg code

2265− if (src==null) src = "";

2266− // insert "axes()" if not present ******** experimental

2267− if (!/axes\b|initPicture/.test(src)) {

2268− var i = 0;

2270− 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();"));

2271− }

2272− ht = picture.getAttribute("height");

2273− if (isIE) {

2274− picture.setAttribute("wmode","transparent");

2275−//alert("*"+picture.getAttribute("src")+dsvglocation);

2276−//adding d.svg dynamically greates problems in IE...

2277−// if (picture.getAttribute("src")=="") picture.setAttribute("src",dsvglocation+"d.svg");

2278− }

2279− if (document.getElementById("picture"+(index+1)+"mml")==null) {

2280− picture.parentNode.style.position = "relative";

2281− node = createElementXHTML("div");

2282− node.style.position = "absolute";

2283− node.style.top = "0px";

2284− node.style.left = "0px";

2285− node.setAttribute("id","picture"+(index+1)+"mml");

2286− picture.parentNode.insertBefore(node,picture.nextSibling);

2287− }

2288− if (ht==null) ht ="";

2289−// if (ht!="") defaultborder = 25;

2290− if (ht=="" || src=="")

2291− if (document.getElementById("picture"+(index+1)+"input")==null) {

2292− node = createElementXHTML("textarea");

2293− arr = src.split("\n");

2294− cols = 0;

2295− for (i=0;i<arr.length;i++) cols = Math.max(cols,arr[i].length);

2296− node.setAttribute("rows",Math.min(10,arr.length)+1);

2297− node.setAttribute("cols",Math.max(Math.min(60,cols),20)+5);

2298−// node.setAttribute("style","display:block");

2299− if (isIE) src = src.replace(/([^\r])\n/g,"$1\r");

2300− node.appendChild(document.createTextNode(src));

2301− if (src.indexOf("showcode()")==-1) node.style.display = "none";

2302− node.setAttribute("id","picture"+(index+1)+"input");

2303− picture.parentNode.insertBefore(node,picture.nextSibling);

2304− picture.parentNode.insertBefore(createElementXHTML("br"),node);

2305− node2 = createElementXHTML("button");

2306− node2.setAttribute("id","picture"+(index+1)+"button");

2307− if (isIE) node2.onclick = function() {updatePicture(this)};

2308− else node2.setAttribute("onclick","updatePicture(this)");

2309− node2.appendChild(document.createTextNode("Update"));

2310− if (src.indexOf("showcode()")==-1) node2.style.display = "none";

2311− picture.parentNode.insertBefore(node2,node);

2312−// picture.parentNode.insertBefore(document.createTextNode("ASCII"),node);

2313− picture.parentNode.insertBefore(createElementXHTML("br"),node);

2314− } else src = document.getElementById("picture"+(index+1)+"input").value;

2315− id = picture.getAttribute("id");

2316− dsvg = picture.getAttribute("src");

2317− if (id == null || id == "") {

2318− id = "picture"+(index+1);

2319− picture.setAttribute("id",id);

2320− }

2321− translateandeval(src);

2322− }

2323− lastSlot+=len;

2324−}

2325−

2326−function setdefaults() { //called before each graph is evaluated

2327− strokewidth = defaultstrokewidth;

2328− stroke = defaultstroke;

2329− strokeopacity = defaultstrokeopacity;

2330− strokedasharray = defaultstrokedasharray;

2331− fill = defaultfill;

2332− fillopacity = defaultfillopacity;

2333− fontstyle = defaultfontstyle;

2334− fontfamily = defaultfontfamily;

2335− fontsize = defaultfontsize;

2336− fontweight = defaultfontweight;

2337− fontstroke = defaultfontstroke;

2338− fontfill = defaultfontfill;

2339− marker = defaultmarker;

2340− endpoints = defaultendpoints;

2341−}

2342−

2343−function switchTo(id) { // used by dynamic code to select appropriate graph

2344− if (id==undefined) return;

2345− var name = id;

2346− if (typeof name!="string") name = id.target.parentNode.getAttribute("name");

2347− picture = document.getElementById(name);

2348− width = picture.getAttribute("width")-0;

2349− height = picture.getAttribute("height")-0;

2350− setdefaults();

2351− if ((picture.nodeName == "EMBED" || picture.nodeName == "embed") && isIE) {

2352− svgpicture = picture.getSVGDocument().getElementById("root");

2353− doc = picture.getSVGDocument();

2354− } else {

2355− svgpicture = picture;

2356− doc = document;

2357− }

2358− xunitlength = parseFloat(svgpicture.getAttribute("xunitlength"));

2359− yunitlength = parseFloat(svgpicture.getAttribute("yunitlength"));

2360− xmin = parseFloat(svgpicture.getAttribute("xmin"));

2361− xmax = parseFloat(svgpicture.getAttribute("xmax"));

2362− ymin = parseFloat(svgpicture.getAttribute("ymin"));

2363− ymax = parseFloat(svgpicture.getAttribute("ymax"));

2364− origin = [svgpicture.getAttribute("ox")-0,svgpicture.getAttribute("oy")-0];

2365−}

2366−

2367−function updatePicture(obj) {

2368− var node, src, id, top, left;

2369− if (typeof obj=="object") id = obj.id.slice(0,-6);

2370− else id = (typeof obj=="string"?obj:"picture"+(obj+1));

2371− src = document.getElementById(id+"input").value;

2372− xmin = null; xmax = null; ymin = null; ymax = null;

2373− xscl = null; xgrid = null; yscl = null; ygrid = null;

2374− initialized = false;

2375− picture = document.getElementById(id);

2376− translateandeval(src)

2377−}

2378−

2379−function changepicturesize(evt,factor) {

2380− var obj = evt.target;

2381− var name = obj.parentNode.getAttribute("name");

2382− var pic = document.getElementById(name);

2383− var src = document.getElementById(name+"input").value;

2384− if (!/height/.test(src)) src = "height=0; "+src;

2385− if (!/width/.test(src)) src = "width=0; "+src;

2386− src = src.replace(/width\s*=\s*\d+/,"width="+(factor*(pic.getAttribute("width")-0)));

2387− src = src.replace(/height\s*=\s*\d+/,"height="+(factor*(pic.getAttribute("height")-0)));

2388− document.getElementById(name+"input").value = src;

2389−//alert(getKey(evt.keycode))

2390− updatePicture(name);

2391−}

2392−

2393−function zoom(evt,factor) {

2394− switchTo(evt);

2395− var obj = evt.target;

2396− var name = obj.parentNode.getAttribute("name");

2397− var pic = document.getElementById(name);

2398− var src = document.getElementById(name+"input").value;

2399− var xlen = (xmax-xmin)/2;

2400− var ylen = (ymax-ymin)/2;

2401− var xcen = getX(evt), ycen = getY(evt);

2402− if (!/ymax/.test(src)) src = "ymax=0; "+src;

2403− if (!/ymin/.test(src)) src = "ymin=0; "+src;

2404− if (!/xmax/.test(src)) src = "xmax=0; "+src;

2405− if (!/xmin/.test(src)) src = "xmin=0; "+src;

2406− src = src.replace(/xmin\s*=\s*[-\d.e]+/,"xmin="+(xcen-factor*xlen));

2407− src = src.replace(/xmax\s*=\s*[-\d.e]+/,"xmax="+(xcen+factor*xlen));

2408− src = src.replace(/ymin\s*=\s*[-\d.e]+/,"ymin="+(ycen-factor*ylen));

2409− src = src.replace(/ymax\s*=\s*[-\d.e]+/,"ymax="+(ycen+factor*ylen));

2410− document.getElementById(name+"input").value = src;

2411− updatePicture(name);

2412−}

2413−

2414−var sinceFirstClick = 0; // ondblclick simulation from

2415−var dblClkTimer; // http://www.enja.org/david/?cat=13 Thanks!

2416−function timer() {

2417− if(sinceFirstClick<60) {

2418− sinceFirstClick++;

2419− setTimeout("timer()",10);

2420− } else {

2421− clearTimeout(dblClkTimer);

2422− dblClkTimer = "";

2423− }

2424−}

2425−function mClick(evt) {

2426− if(sinceFirstClick!=0) {

2427− if(sinceFirstClick <= 40) {

2428− if (evt.shiftKey) {

2429− if (evt.altKey) changepicturesize(evt,2);

2430− else zoom(evt,.5);

2431− } else if (evt.altKey) zoom(evt,2);//changepicturesize(evt,.5);

2432− else showHideCode(evt); // do this on dblclick

2433− clearTimeout(dblClkTimer);

2434− dblClkTimer = "";

2435− } else {

2436− clearTimeout(dblClkTimer);

2437− sinceFirstClick = 0;

2438− dblClkTimer = setTimeout("timer()",10);

2439− }

2440− } else {

2441− sinceFirstClick = 0;

2442− dblClkTimer = setTimeout("timer()",10);

2443− }

2444−}

2445−

2446−function showHideCode(evt) { // called by onclick event

2447−// if (evt.getDetail()==2) {//getDetail unfortunately not in Firefox

2448− var obj=evt.target;

2449− var name = obj.parentNode.getAttribute("name");

2450− var node = document.getElementById(name+"input");

2451− node.style.display = (node.style.display == "none"?"":"none");

2452− var node = document.getElementById(name+"button");

2453− node.style.display = (node.style.display == "none"?"":"none");

2454−// }

2455−}

2456−

2457−function showcode() {} // do nothing

2458−

2459−function setBorder(x) { border = x } //deprecate

2460−

2461−function initPicture(x_min,x_max,y_min,y_max) { // set up the graph

2462−// usually called by axes() or noaxes(), but can be used directly

2463− if (!initialized) {

2464− setdefaults();

2465− initialized = true;

2466− if (x_min!=null) xmin = x_min;

2467− if (x_max!=null) xmax = x_max;

2468− if (y_min!=null) ymin = y_min;

2469− if (y_max!=null) ymax = y_max;

2470− if (xmin==null) xmin = defaultxmin;

2471− if (xmax==null) xmax = defaultxmax;

2472− if (typeof xmin != "number" || typeof xmax != "number" || xmin >= xmax)

2473− alert("Picture requires at least two numbers: xmin < xmax");

2474− else if (y_max != null && (typeof y_min != "number" ||

2475− typeof y_max != "number" || y_min >= y_max))

2476− alert("initPicture(xmin,xmax,ymin,ymax) requires numbers ymin < ymax");

2477− else {

2478− if (width==null) {

2479− width = picture.getAttribute("width");

2480− if (width==null || width=="") width=defaultwidth;

2481− }

2482− picture.setAttribute("width",width);

2483− if (height==null) {

2484− height = picture.getAttribute("height");

2485− if (height==null || height=="") height=defaultheight;

2486− }

2487− picture.setAttribute("height",height);

2488− xunitlength = (width-2*border)/(xmax-xmin);

2489− yunitlength = xunitlength;

2490−//alert(xmin+" "+xmax+" "+ymin+" "+ymax)

2491− if (ymin==null) {

2492− origin = [-xmin*xunitlength+border,height/2];

2493− ymin = -(height-2*border)/(2*yunitlength);

2494− ymax = -ymin;

2495− } else {

2496− if (ymax!=null) yunitlength = (height-2*border)/(ymax-ymin);

2497− else ymax = (height-2*border)/yunitlength + ymin;

2498− origin = [-xmin*xunitlength+border,-ymin*yunitlength+border];

2499− }

2500− if (isIE) {

2501− if (picture.FULLSCREEN==undefined) {

2502− setTimeout('drawPictures()',50);

2503− throw "wait";

2504− }

2505− svgpicture = picture.getSVGDocument().getElementById("root");

2506− if (svgpicture==null) {

2507− setTimeout('drawPictures()',50);

2508− throw "wait";

2509− }

2510− svgpicture = picture.getSVGDocument().getElementById("root");

2511− while (svgpicture.childNodes.length>0)

2512− svgpicture.removeChild(svgpicture.lastChild);

2513− svgpicture.setAttribute("width",width);

2514− svgpicture.setAttribute("height",height);

2515− svgpicture.setAttribute("name",picture.getAttribute("id"));

2516− doc = picture.getSVGDocument();

2517− } else {

2518− var qnode = document.createElementNS("http://www.w3.org/2000/svg","svg");

2519− qnode.setAttribute("id",picture.getAttribute("id"));

2520− qnode.setAttribute("name",picture.getAttribute("id"));

2521−// qnode.setAttribute("style","display:inline");

2522− qnode.setAttribute("width",picture.getAttribute("width"));

2523− qnode.setAttribute("height",picture.getAttribute("height"));

2524− picturepos = findPos(picture);

2525−// qnode.setAttribute("xmlns:xlink","http://www.w3.org/1999/xlink");

2526− if (picture.parentNode!=null) {

2527− picture.parentNode.replaceChild(qnode,picture);

2528− } else {

2529− svgpicture.parentNode.replaceChild(qnode,svgpicture);

2530− }

2531− svgpicture = qnode;

2532− doc = document;

2533− }

2534− var nd = document.getElementById(picture.getAttribute("id")+"mml");

2535− if (nd!=null) // clear out MathML layer

2536− while (nd.childNodes.length>0) nd.removeChild(nd.lastChild);

2537− svgpicture.setAttribute("xunitlength",xunitlength);

2538− svgpicture.setAttribute("yunitlength",yunitlength);

2539− svgpicture.setAttribute("xmin",xmin);

2540− svgpicture.setAttribute("xmax",xmax);

2541− svgpicture.setAttribute("ymin",ymin);

2542− svgpicture.setAttribute("ymax",ymax);

2543− svgpicture.setAttribute("ox",origin[0]);

2544− svgpicture.setAttribute("oy",origin[1]);

2545− var node = myCreateElementSVG("rect");

2546− node.setAttribute("x","0");

2547− node.setAttribute("y","0");

2548− node.setAttribute("width",width);

2549− node.setAttribute("height",height);

2550− node.setAttribute("style",backgroundstyle);

2551− svgpicture.appendChild(node);

2552− svgpicture.setAttribute("onmousemove","displayCoord(evt)");

2553− svgpicture.setAttribute("onmouseout","removeCoord(evt)");

2554− svgpicture.setAttribute("onclick","mClick(evt)");

2555− node = myCreateElementSVG("text"); // used for displayCoord

2556− node.appendChild(doc.createTextNode(" "));

2557− node.setAttribute("id","coords");

2558− svgpicture.appendChild(node);

2559− node = myCreateElementSVG("text"); // used for text display

2560− node.appendChild(doc.createTextNode(" "));

2561− node.setAttribute("id","coords");

2562− svgpicture.appendChild(node);

2563− border = defaultborder;

2564− }

2565− }

2566−}

2567−

2568−//////////////////////////user graphics commands start/////////////////////////

2569−

2570−function line(p,q,id,endpts) { // segment connecting points p,q (coordinates in units)

2571− var node;

2572− if (id!=null) node = doc.getElementById(id);

2573− if (node==null) {

2574− node = myCreateElementSVG("path");

2575− node.setAttribute("id", id);

2576− svgpicture.appendChild(node);

2577− }

2578− node.setAttribute("d","M"+(p[0]*xunitlength+origin[0])+","+

2579− (height-p[1]*yunitlength-origin[1])+" "+

2580− (q[0]*xunitlength+origin[0])+","+(height-q[1]*yunitlength-origin[1]));

2581− node.setAttribute("stroke-width", strokewidth);

2582− if (strokedasharray!=null)

2583− node.setAttribute("stroke-dasharray", strokedasharray);

2584− node.setAttribute("stroke", stroke);

2585− node.setAttribute("fill", fill);

2586− node.setAttribute("stroke-opacity", strokeopacity);

2587− node.setAttribute("fill-opacity", fillopacity);

2588− if (marker=="dot" || marker=="arrowdot") {

2589− ASdot(p,markersize,markerstroke,markerfill);

2590− if (marker=="arrowdot") arrowhead(p,q);

2591− ASdot(q,markersize,markerstroke,markerfill);

2592− } else if (marker=="arrow") arrowhead(p,q);

2593− if (endpts==null && endpoints!="") endpts = endpoints;

2594− if (endpts!=null) {

2595− if (endpts.indexOf("<-") != -1) arrowhead(q,p);

2596− if (endpts.indexOf("o-") != -1) dot(p, "open");

2597− if (endpts.indexOf("*-") != -1) dot(p, "closed");

2598− if (endpts.indexOf("->") != -1) arrowhead(p,q);

2599− if (endpts.indexOf("-o") != -1) dot(q, "open");

2600− if (endpts.indexOf("-*") != -1) dot(q, "closed");

2601− }

2602−}

2603−

2604−function path(plist,id,c,endpts) {

2605− if (c==null) c="";

2606− var node, st, i;

2607− if (id!=null) node = doc.getElementById(id);

2608− if (node==null) {

2609− node = myCreateElementSVG("path");

2610− node.setAttribute("id", id);

2611− svgpicture.appendChild(node);

2612− }

2613− if (typeof plist == "string") st = plist;

2614− else {

2615− st = "M";

2616− st += (plist[0][0]*xunitlength+origin[0])+","+

2617− (height-plist[0][1]*yunitlength-origin[1])+" "+c;

2618− for (i=1; i<plist.length; i++)

2619− st += (plist[i][0]*xunitlength+origin[0])+","+

2620− (height-plist[i][1]*yunitlength-origin[1])+" ";

2621− }

2622− node.setAttribute("d", st);

2623− node.setAttribute("stroke-width", strokewidth);

2624− if (strokedasharray!=null)

2625− node.setAttribute("stroke-dasharray", strokedasharray);

2626− node.setAttribute("stroke", stroke);

2627− node.setAttribute("fill", fill);

2628− node.setAttribute("stroke-opacity", strokeopacity);

2629− node.setAttribute("fill-opacity", fillopacity);

2630− if (marker=="dot" || marker=="arrowdot")

2631− for (i=0; i<plist.length; i++)

2632− if (c!="C" && c!="T" || i!=1 && i!=2)

2633− ASdot(plist[i],markersize,markerstroke,markerfill);

2634− if (endpts==null && endpoints!="") endpts = endpoints;

2635− if (endpts!=null) {

2636− if (endpts.indexOf("<-") != -1) arrowhead(plist[1],plist[0]);

2637− if (endpts.indexOf("o-") != -1) dot(plist[0], "open");

2638− if (endpts.indexOf("*-") != -1) dot(plist[0], "closed");

2639− if (endpts.indexOf("->") != -1) arrowhead(plist[plist.length-2],plist[plist.length-1]);

2640− if (endpts.indexOf("-o") != -1) dot(plist[plist.length-1], "open");

2641− if (endpts.indexOf("-*") != -1) dot(plist[plist.length-1], "closed");

2642− }

2643−}

2644−

2645−function curve(plist,id,endpts) {

2646− path(plist,id,"T",endpts);

2647−}

2648−

2649−function vector(p,q,id) {

2650− line(p,q,id,"","->");

2651−}

2652−

2653−function circle(center,radius,id) { // coordinates in units

2654− var node;

2655− if (id!=null) node = doc.getElementById(id);

2656− if (node==null) {

2657− node = myCreateElementSVG("circle");

2658− node.setAttribute("id", id);

2659− svgpicture.appendChild(node);

2660− }

2661− node.setAttribute("cx",center[0]*xunitlength+origin[0]);

2662− node.setAttribute("cy",height-center[1]*yunitlength-origin[1]);

2663− node.setAttribute("r",radius*xunitlength);

2664− node.setAttribute("stroke-width", strokewidth);

2665− node.setAttribute("stroke", stroke);

2666− node.setAttribute("fill", fill);

2667− node.setAttribute("stroke-opacity", strokeopacity);

2668− node.setAttribute("fill-opacity", fillopacity);

2669−}

2670−

2671−function loop(p,d,id) {

2672−// d is a direction vector e.g. [1,0] means loop starts in that direction

2673− if (d==null) d=[1,0];

2674− path([p,[p[0]+d[0],p[1]+d[1]],[p[0]-d[1],p[1]+d[0]],p],id,"C");

2675− if (marker=="arrow" || marker=="arrowdot")

2676− arrowhead([p[0]+Math.cos(1.4)*d[0]-Math.sin(1.4)*d[1],

2677− p[1]+Math.sin(1.4)*d[0]+Math.cos(1.4)*d[1]],p);

2678−}

2679−

2680−function arc(start,end,radius,id,largearc) { // coordinates in units

2681− var node, v;

2682−//alert([fill, stroke, origin, xunitlength, yunitlength, height])

2683− if (id!=null) node = doc.getElementById(id);

2684− if (largearc==null) largearc=0;

2685− if (radius==null) {

2686− v=[end[0]-start[0],end[1]-start[1]];

2687− radius = Math.sqrt(v[0]*v[0]+v[1]*v[1]);

2688− }

2689− if (node==null) {

2690− node = myCreateElementSVG("path");

2691− node.setAttribute("id", id);

2692− svgpicture.appendChild(node);

2693− }

2694− node.setAttribute("d","M"+(start[0]*xunitlength+origin[0])+","+

2695− (height-start[1]*yunitlength-origin[1])+" A"+radius*xunitlength+","+

2696− radius*yunitlength+" 0 "+largearc+",0 "+(end[0]*xunitlength+origin[0])+","+

2697− (height-end[1]*yunitlength-origin[1]));

2698− node.setAttribute("stroke-width", strokewidth);

2699− node.setAttribute("stroke", stroke);

2700− node.setAttribute("fill", fill);

2701− node.setAttribute("stroke-opacity", strokeopacity);

2702− node.setAttribute("fill-opacity", fillopacity);

2703− if (marker=="arrow" || marker=="arrowdot") {

2704− u = [(end[1]-start[1])/4,(start[0]-end[0])/4];

2705− v = [(end[0]-start[0])/2,(end[1]-start[1])/2];

2706−//alert([u,v])

2707− v = [start[0]+v[0]+u[0],start[1]+v[1]+u[1]];

2708− } else v=[start[0],start[1]];

2709− if (marker=="dot" || marker=="arrowdot") {

2710− ASdot(start,markersize,markerstroke,markerfill);

2711− if (marker=="arrowdot") arrowhead(v,end);

2712− ASdot(end,markersize,markerstroke,markerfill);

2713− } else if (marker=="arrow") arrowhead(v,end);

2714−}

2715−

2716−function sector(center,start,end,id) { // center,start,end should be isoceles

2717− var rx = start[0]-center[0], ry = start[1]-center[1];

2718− arc(start,end,Math.sqrt(rx*rx+ry*ry),id+"arc");

2719− path([end,center,start],id+"path");

2720−}

2721−

2722−function ellipse(center,rx,ry,id) { // coordinates in units

2723− var node;

2724− if (id!=null) node = doc.getElementById(id);

2725− if (node==null) {

2726− node = myCreateElementSVG("ellipse");

2727− node.setAttribute("id", id);

2728− svgpicture.appendChild(node);

2729− }

2730− node.setAttribute("cx",center[0]*xunitlength+origin[0]);

2731− node.setAttribute("cy",height-center[1]*yunitlength-origin[1]);

2732− node.setAttribute("rx",rx*xunitlength);

2733− node.setAttribute("ry",ry*yunitlength);

2734− node.setAttribute("stroke-width", strokewidth);

2735− node.setAttribute("stroke", stroke);

2736− node.setAttribute("fill", fill);

2737− node.setAttribute("stroke-opacity", strokeopacity);

2738− node.setAttribute("fill-opacity", fillopacity);

2739−}

2740−

2741−function triangle(p,q,r,id) {

2742− path([p,q,r,p],id)

2743−}

2744−

2745−function rect(p,q,id,rx,ry) { // opposite corners in units, rounded by radii

2746− var node;

2747− if (id!=null) node = doc.getElementById(id);

2748− if (node==null) {

2749− node = myCreateElementSVG("rect");

2750− node.setAttribute("id", id);

2751− svgpicture.appendChild(node);

2752− }

2753− node.setAttribute("x",p[0]*xunitlength+origin[0]);

2754− node.setAttribute("y",height-q[1]*yunitlength-origin[1]);

2755− node.setAttribute("width",(q[0]-p[0])*xunitlength);

2756− node.setAttribute("height",(q[1]-p[1])*yunitlength);

2757− if (rx!=null) node.setAttribute("rx",rx*xunitlength);

2758− if (ry!=null) node.setAttribute("ry",ry*yunitlength);

2759− node.setAttribute("stroke-width", strokewidth);

2760− node.setAttribute("stroke", stroke);

2761− node.setAttribute("fill", fill);

2762− node.setAttribute("stroke-opacity", strokeopacity);

2763− node.setAttribute("fill-opacity", fillopacity);

2764−}

2765−

2766−function text(p,st,pos,id,fontsty) {

2767− var dnode, node, dx = 0, dy = fontsize/3, str = st.toString();

2768− if (/(`|\$)/.test(str)) { // layer for ASCIIMathML and LaTeXMathML

2769− dnode = document.getElementById(svgpicture.getAttribute("name")+"mml");

2770− if (dnode!=null) {

2771− if (id!=null) node = document.getElementById(id);

2772− if (node==null) {

2773−//alert(dnode.childNodes.length)

2774− node = createElementXHTML("div");

2775− node.setAttribute("id", id);

2776− node.style.position = "absolute";

2777− dnode.appendChild(node);

2778− }

2779− while (node.childNodes.length>0) node.removeChild(node.lastChild);

2780− node.appendChild(document.createTextNode(str));

2781− if (/`/.test(str)) AMprocessNode(node); else LMprocessNode(node);

2782− dx = -node.offsetWidth/2;

2783− dy = -node.offsetHeight/2;

2784− if (pos!=null) {

2785− if (/above/.test(pos)) dy = -node.offsetHeight;

2786− if (/below/.test(pos)) dy = 0;

2787− if (/right/.test(pos)) dx = 0;

2788− if ( /left/.test(pos)) dx = -node.offsetWidth;

2789− }

2790− node.style.left = ""+(p[0]*xunitlength+origin[0]+dx)+"px";

2791− node.style.top = ""+(height-p[1]*yunitlength-origin[1]+dy)+"px";

2792− }

2793− return p;

2794− }

2795− var textanchor = "middle"; // regular text goes into SVG

2796− if (pos!=null) {

2797− if (/above/.test(pos)) dy = -fontsize/2;

2798− if (/below/.test(pos)) dy = fontsize-0;

2799− if (/right/.test(pos)) {textanchor = "start"; dx = fontsize/4;}

2800− if ( /left/.test(pos)) {textanchor = "end"; dx = -fontsize/4;}

2801− }

2802− if (id!=null) node = doc.getElementById(id);

2803− if (node==null) {

2804− node = myCreateElementSVG("text");

2805− node.setAttribute("id", id);

2806− svgpicture.appendChild(node);

2807− node.appendChild(doc.createTextNode(str));

2808− }

2809− while (node.childNodes.length>1) node.removeChild(node.lastChild);

2810− node.lastChild.nodeValue = "\xA0"+str+"\xA0";

2811− node.setAttribute("x",p[0]*xunitlength+origin[0]+dx);

2812− node.setAttribute("y",height-p[1]*yunitlength-origin[1]+dy);

2813− node.setAttribute("font-style",(fontsty!=null?fontsty:

2814− (str.search(/^[a-zA-Z]$/)!=-1?"italic":fontstyle)));

2815− node.setAttribute("font-family",fontfamily);

2816− node.setAttribute("font-size",fontsize);

2817− node.setAttribute("font-weight",fontweight);

2818− node.setAttribute("text-anchor",textanchor);

2819− if (fontstroke!="none") node.setAttribute("stroke",fontstroke);

2820− if (fontfill!="none") node.setAttribute("fill",fontfill);

2821− return p;

2822−}

2823−

2824−function mtext(p,st,pos,fontsty,fontsz) { // method for updating text on an svg

2825−// "this" is the text object or the svgpicture object

2826− var textanchor = "middle";

2827− var dx = 0; var dy = fontsize/3;

2828− if (pos!=null) {

2829− if (pos.slice(0,5)=="above") dy = -fontsize/2;

2830− if (pos.slice(0,5)=="below") dy = fontsize-0;

2831− if (pos.slice(0,5)=="right" || pos.slice(5,10)=="right") {

2832− textanchor = "start";

2833− dx = fontsize/2;

2834− }

2835− if (pos.slice(0,4)=="left" || pos.slice(5,9)=="left") {

2836− textanchor = "end";

2837− dx = -fontsize/2;

2838− }

2839− }

2840− var node = this;

2841− if (this.nodeName=="svg") {

2842− node = myCreateElementSVG("text");

2843− this.appendChild(node);

2844− node.appendChild(doc.createTextNode(st));

2845− }

2846− node.lastChild.nodeValue = st;

2847− node.setAttribute("x",p[0]+dx);

2848− node.setAttribute("y",p[1]+dy);

2849− node.setAttribute("font-style",(fontsty!=null?fontsty:fontstyle));

2850− node.setAttribute("font-family",fontfamily);

2851− node.setAttribute("font-size",(fontsz!=null?fontsz:fontsize));

2852− node.setAttribute("font-weight",fontweight);

2853− node.setAttribute("text-anchor",textanchor);

2854− if (fontstroke!="none") node.setAttribute("stroke",fontstroke);

2855− if (fontfill!="none") node.setAttribute("fill",fontfill);

2856−}

2857−

2858−function image(imgurl,p,w,h,id) { // not working yet

2859− var node;

2860− if (id!=null) node = doc.getElementById(id);

2861− if (node==null) {

2862− node = myCreateElementSVG("image");

2863− node.setAttribute("id", id);

2864− svgpicture.appendChild(node);

2865− }

2866− node.setAttribute("x",p[0]*xunitlength+origin[0]);

2867− node.setAttribute("y",height-p[1]*yunitlength-origin[1]);

2868− node.setAttribute("width",w);

2869− node.setAttribute("height",h);

2870− node.setAttribute("xlink:href", imgurl);

2871−}

2872−

2873−function ASdot(center,radius,s,f) { // coordinates in units, radius in pixel

2874− if (s==null) s = stroke; if (f==null) f = fill;

2875− var node = myCreateElementSVG("circle");

2876− node.setAttribute("cx",center[0]*xunitlength+origin[0]);

2877− node.setAttribute("cy",height-center[1]*yunitlength-origin[1]);

2878− node.setAttribute("r",radius);

2879− node.setAttribute("stroke-width", strokewidth);

2880− node.setAttribute("stroke", s);

2881− node.setAttribute("fill", f);

2882− svgpicture.appendChild(node);

2883−}

2884−

2885−function dot(center, typ, label, pos, id) {

2886− var node;

2887− var cx = center[0]*xunitlength+origin[0];

2888− var cy = height-center[1]*yunitlength-origin[1];

2889− if (id!=null) node = doc.getElementById(id);

2890− if (typ=="+" || typ=="-" || typ=="|") {

2891− if (node==null) {

2892− node = myCreateElementSVG("path");

2893− node.setAttribute("id", id);

2894− svgpicture.appendChild(node);

2895− }

2896− if (typ=="+") {

2897− node.setAttribute("d",

2898− " M "+(cx-ticklength)+" "+cy+" L "+(cx+ticklength)+" "+cy+

2899− " M "+cx+" "+(cy-ticklength)+" L "+cx+" "+(cy+ticklength));

2900− node.setAttribute("stroke-width", .5);

2901− node.setAttribute("stroke", axesstroke);

2902− } else {

2903− if (typ=="-") node.setAttribute("d",

2904− " M "+(cx-ticklength)+" "+cy+" L "+(cx+ticklength)+" "+cy);

2905− else node.setAttribute("d",

2906− " M "+cx+" "+(cy-ticklength)+" L "+cx+" "+(cy+ticklength));

2907− node.setAttribute("stroke-width", strokewidth);

2908− node.setAttribute("stroke", stroke);

2909− }

2910− } else {

2911− if (node==null) {

2912− node = myCreateElementSVG("circle");

2913− node.setAttribute("id", id);

2914− svgpicture.appendChild(node);

2915− }

2916− node.setAttribute("cx",cx);

2917− node.setAttribute("cy",cy);

2918− node.setAttribute("r",dotradius);

2919− node.setAttribute("stroke-width", strokewidth);

2920− node.setAttribute("stroke", stroke);

2921− node.setAttribute("fill", (typ=="open"?"white":

2922− (typ=="closed"?stroke:markerfill)));

2923− }

2924− if (label!=null)

2925− text(center,label,(pos==null?"below":pos),(id==null?id:id+"label"))

2926−}

2927−

2928−point = dot; //alternative name

2929−

2930−function arrowhead(p,q) { // draw arrowhead at q (in units) add size param

2931− var up;

2932− var v = [p[0]*xunitlength+origin[0],height-p[1]*yunitlength-origin[1]];

2933− var w = [q[0]*xunitlength+origin[0],height-q[1]*yunitlength-origin[1]];

2934− var u = [w[0]-v[0],w[1]-v[1]];

2935− var d = Math.sqrt(u[0]*u[0]+u[1]*u[1]);

2936− if (d > 0.00000001) {

2937− u = [u[0]/d, u[1]/d];

2938− up = [-u[1],u[0]];

2939− var node = myCreateElementSVG("path");

2940− node.setAttribute("d","M "+(w[0]-15*u[0]-4*up[0])+" "+

2941− (w[1]-15*u[1]-4*up[1])+" L "+(w[0]-3*u[0])+" "+(w[1]-3*u[1])+" L "+

2942− (w[0]-15*u[0]+4*up[0])+" "+(w[1]-15*u[1]+4*up[1])+" z");

2943− node.setAttribute("stroke-width", markerstrokewidth);

2944− node.setAttribute("stroke", stroke); /*was markerstroke*/

2945− node.setAttribute("fill", stroke); /*was arrowfill*/

2946− node.setAttribute("stroke-opacity", strokeopacity);

2947− node.setAttribute("fill-opacity", fillopacity);

2948− svgpicture.appendChild(node);

2949− }

2950−}

2951−

2952−function chopZ(st) {

2953− var k = st.indexOf(".");

2954− if (k==-1) return st;

2955− for (var i=st.length-1; i>k && st.charAt(i)=="0"; i--);

2956− if (i==k) i--;

2957− return st.slice(0,i+1);

2958−}

2959−

2960−function grid(dx,dy) { // for backward compatibility

2961− axes(dx,dy,null,dx,dy)

2962−}

2963−

2964−function noaxes() {

2965− if (!initialized) initPicture();

2966−}

2967−

2968−function axes(dx,dy,labels,gdx,gdy) {

2969−//xscl=x is equivalent to xtick=x; xgrid=x; labels=true;

2970− var x, y, ldx, ldy, lx, ly, lxp, lyp, pnode, st;

2971− if (!initialized) initPicture();

2972− if (typeof dx=="string") { labels = dx; dx = null; }

2973− if (typeof dy=="string") { gdx = dy; dy = null; }

2974− if (xscl!=null) {dx = xscl; gdx = xscl; labels = dx}

2975− if (yscl!=null) {dy = yscl; gdy = yscl}

2976− if (xtick!=null) {dx = xtick}

2977− if (ytick!=null) {dy = ytick}

2978− dx = (dx==null?xunitlength:dx*xunitlength);

2979− dy = (dy==null?dx:dy*yunitlength);

2980− fontsize = Math.min(dx/2,dy/2,16); //alert(fontsize)

2981− ticklength = fontsize/4;

2982− if (xgrid!=null) gdx = xgrid;

2983− if (ygrid!=null) gdy = ygrid;

2984− if (gdx!=null) {

2985− gdx = (typeof gdx=="string"?dx:gdx*xunitlength);

2986− gdy = (gdy==null?dy:gdy*yunitlength);

2987− pnode = myCreateElementSVG("path");

2988− st="";

2989− for (x = origin[0]; x<width; x = x+gdx)

2990− st += " M"+x+",0"+" "+x+","+height;

2991− for (x = origin[0]-gdx; x>0; x = x-gdx)

2992− st += " M"+x+",0"+" "+x+","+height;

2993− for (y = height-origin[1]; y<height; y = y+gdy)

2994− st += " M0,"+y+" "+width+","+y;

2995− for (y = height-origin[1]-gdy; y>0; y = y-gdy)

2996− st += " M0,"+y+" "+width+","+y;

2997− pnode.setAttribute("d",st);

2998− pnode.setAttribute("stroke-width", .5);

2999− pnode.setAttribute("stroke", gridstroke);

3000− pnode.setAttribute("fill", fill);

3001− svgpicture.appendChild(pnode);

3002− }

3003− pnode = myCreateElementSVG("path");

3004− st="M0,"+(height-origin[1])+" "+width+","+

3005− (height-origin[1])+" M"+origin[0]+",0 "+origin[0]+","+height;

3006− for (x = origin[0]+dx; x<width; x = x+dx)

3007− st += " M"+x+","+(height-origin[1]+ticklength)+" "+x+","+

3008− (height-origin[1]-ticklength);

3009− for (x = origin[0]-dx; x>0; x = x-dx)

3010− st += " M"+x+","+(height-origin[1]+ticklength)+" "+x+","+

3011− (height-origin[1]-ticklength);

3012− for (y = height-origin[1]+dy; y<height; y = y+dy)

3013− st += " M"+(origin[0]+ticklength)+","+y+" "+(origin[0]-ticklength)+","+y;

3014− for (y = height-origin[1]-dy; y>0; y = y-dy)

3015− st += " M"+(origin[0]+ticklength)+","+y+" "+(origin[0]-ticklength)+","+y;

3016− if (labels!=null) with (Math) {

3017− ldx = dx/xunitlength;

3018− ldy = dy/yunitlength;

3019− lx = (xmin>0 || xmax<0?xmin:0);

3020− ly = (ymin>0 || ymax<0?ymin:0);

3021− lxp = (ly==0?"below":"above");

3022− lyp = (lx==0?"left":"right");

3023− var ddx = floor(1.1-log(ldx)/log(10))+1;

3024− var ddy = floor(1.1-log(ldy)/log(10))+1;

3025− for (x = ldx; x<=xmax; x = x+ldx)

3026− text([x,ly],chopZ(x.toFixed(ddx)),lxp);

3027− for (x = -ldx; xmin<=x; x = x-ldx)

3028− text([x,ly],chopZ(x.toFixed(ddx)),lxp);

3029− for (y = ldy; y<=ymax; y = y+ldy)

3030− text([lx,y],chopZ(y.toFixed(ddy)),lyp);

3031− for (y = -ldy; ymin<=y; y = y-ldy)

3032− text([lx,y],chopZ(y.toFixed(ddy)),lyp);

3033− }

3034− fontsize = defaultfontsize;

3035− pnode.setAttribute("d",st);

3036− pnode.setAttribute("stroke-width", .5);

3037− pnode.setAttribute("stroke", axesstroke);

3038− pnode.setAttribute("fill", fill);

3039− pnode.setAttribute("stroke-opacity", strokeopacity);

3040− pnode.setAttribute("fill-opacity", fillopacity);

3041− svgpicture.appendChild(pnode);

3042−}

3043−

3044−function mathjs(st) {

3045− //translate a math formula to js function notation

3046− // a^b --> pow(a,b)

3047− // na --> n*a

3048− // (...)d --> (...)*d

3049− // n! --> factorial(n)

3050− // sin^-1 --> arcsin etc.

3051− //while ^ in string, find term on left and right

3052− //slice and concat new formula string

3053− st = st.replace(/\s/g,"");

3054− if (st.indexOf("^-1")!=-1) {

3055− st = st.replace(/sin\^-1/g,"arcsin");

3056− st = st.replace(/cos\^-1/g,"arccos");

3057− st = st.replace(/tan\^-1/g,"arctan");

3058− st = st.replace(/sec\^-1/g,"arcsec");

3059− st = st.replace(/csc\^-1/g,"arccsc");

3060− st = st.replace(/cot\^-1/g,"arccot");

3061− st = st.replace(/sinh\^-1/g,"arcsinh");

3062− st = st.replace(/cosh\^-1/g,"arccosh");

3063− st = st.replace(/tanh\^-1/g,"arctanh");

3064− st = st.replace(/sech\^-1/g,"arcsech");

3065− st = st.replace(/csch\^-1/g,"arccsch");

3066− st = st.replace(/coth\^-1/g,"arccoth");

3067− }

3068− st = st.replace(/^e$/g,"(Math.E)");

3069− st = st.replace(/^e([^a-zA-Z])/g,"(Math.E)$1");

3070− st = st.replace(/([^a-zA-Z])e/g,"$1(Math.E)");

3071−// st = st.replace(/([^a-zA-Z])e([^a-zA-Z])/g,"$1(Math.E)$2");

3072− st = st.replace(/([0-9])([\(a-zA-Z])/g,"$1*$2");

3073− st = st.replace(/\)([$0-9a-zA-Z])/g,"$*$1");

3074− var i,j,k, ch, nested;

3075− while ((i=st.indexOf("^"))!=-1) {

3076− //find left argument

3077− if (i==0) return "Error: missing argument";

3078− j = i-1;

3079− ch = st.charAt(j);

3080− if (ch>="0" && ch<="9") {// look for (decimal) number

3081− j--;

3082− while (j>=0 && (ch=st.charAt(j))>="0" && ch<="9") j--;

3083− if (ch==".") {

3084− j--;

3085− while (j>=0 && (ch=st.charAt(j))>="0" && ch<="9") j--;

3086− }

3087− } else if (ch==")") {// look for matching opening bracket and function name

3088− nested = 1;

3089− j--;

3090− while (j>=0 && nested>0) {

3091− ch = st.charAt(j);

3092− if (ch=="(") nested--;

3093− else if (ch==")") nested++;

3094− j--;

3095− }

3096− while (j>=0 && (ch=st.charAt(j))>="a" && ch<="z" || ch>="A" && ch<="Z")

3097− j--;

3098− } else if (ch>="a" && ch<="z" || ch>="A" && ch<="Z") {// look for variable

3099− j--;

3100− while (j>=0 && (ch=st.charAt(j))>="a" && ch<="z" || ch>="A" && ch<="Z")

3101− j--;

3102− } else {

3103− return "Error: incorrect syntax in "+st+" at position "+j;

3104− }

3105− //find right argument

3106− if (i==st.length-1) return "Error: missing argument";

3107− k = i+1;

3108− ch = st.charAt(k);

3109− if (ch>="0" && ch<="9" || ch=="-") {// look for signed (decimal) number

3110− k++;

3111− while (k<st.length && (ch=st.charAt(k))>="0" && ch<="9") k++;

3112− if (ch==".") {

3113− k++;

3114− while (k<st.length && (ch=st.charAt(k))>="0" && ch<="9") k++;

3115− }

3116− } else if (ch=="(") {// look for matching closing bracket and function name

3117− nested = 1;

3118− k++;

3119− while (k<st.length && nested>0) {

3120− ch = st.charAt(k);

3121− if (ch=="(") nested++;

3122− else if (ch==")") nested--;

3123− k++;

3124− }

3125− } else if (ch>="a" && ch<="z" || ch>="A" && ch<="Z") {// look for variable

3126− k++;

3127− while (k<st.length && (ch=st.charAt(k))>="a" && ch<="z" ||

3128− ch>="A" && ch<="Z") k++;

3129− } else {

3130− return "Error: incorrect syntax in "+st+" at position "+k;

3131− }

3132− st = st.slice(0,j+1)+"Math.pow("+st.slice(j+1,i)+","+st.slice(i+1,k)+")"+

3133− st.slice(k);

3134− }

3135− while ((i=st.indexOf("!"))!=-1) {

3136− //find left argument

3137− if (i==0) return "Error: missing argument";

3138− j = i-1;

3139− ch = st.charAt(j);

3140− if (ch>="0" && ch<="9") {// look for (decimal) number

3141− j--;

3142− while (j>=0 && (ch=st.charAt(j))>="0" && ch<="9") j--;

3143− if (ch==".") {

3144− j--;

3145− while (j>=0 && (ch=st.charAt(j))>="0" && ch<="9") j--;

3146− }

3147− } else if (ch==")") {// look for matching opening bracket and function name

3148− nested = 1;

3149− j--;

3150− while (j>=0 && nested>0) {

3151− ch = st.charAt(j);

3152− if (ch=="(") nested--;

3153− else if (ch==")") nested++;

3154− j--;

3155− }

3156− while (j>=0 && (ch=st.charAt(j))>="a" && ch<="z" || ch>="A" && ch<="Z")

3157− j--;

3158− } else if (ch>="a" && ch<="z" || ch>="A" && ch<="Z") {// look for variable

3159− j--;

3160− while (j>=0 && (ch=st.charAt(j))>="a" && ch<="z" || ch>="A" && ch<="Z")

3161− j--;

3162− } else {

3163− return "Error: incorrect syntax in "+st+" at position "+j;

3164− }

3165− st = st.slice(0,j+1)+"factorial("+st.slice(j+1,i)+")"+st.slice(i+1);

3166− }

3167− return st;

3168−}

3169−

3170−function plot(fun,x_min,x_max,points,id,endpts) {

3171− var pth = [];

3172− var f = function(x) { return x }, g = fun;

3173− var name = null;

3174− if (typeof fun=="string")

3175− eval("g = function(x){ with(Math) return "+mathjs(fun)+" }");

3176− else if (typeof fun=="object") {

3177− eval("f = function(t){ with(Math) return "+mathjs(fun[0])+" }");

3178− eval("g = function(t){ with(Math) return "+mathjs(fun[1])+" }");

3179− }

3180− if (typeof x_min=="string") { name = x_min; x_min = xmin }

3181− else name = id;

3182− var min = (x_min==null?xmin:x_min);

3183− var max = (x_max==null?xmax:x_max);

3184− var inc = max-min-0.000001*(max-min);

3185− inc = (points==null?inc/200:inc/points);

3186− var gt;

3187−//alert(typeof g(min))

3188− for (var t = min; t <= max; t += inc) {

3189− gt = g(t);

3190− if (!(isNaN(gt)||Math.abs(gt)=="Infinity")) pth[pth.length] = [f(t), gt];

3191− }

3192− path(pth,name,null,endpts);

3193− return pth;

3194−}

3195−

3196−// make polar plot

3197−

3198−// make Riemann sums

3199−

3200−function slopefield(fun,dx,dy) {

3201− var g = fun;

3202− if (typeof fun=="string")

3203− eval("g = function(x,y){ with(Math) return "+mathjs(fun)+" }");

3204− var gxy,x,y,u,v,dz;

3205− if (dx==null) dx=1;

3206− if (dy==null) dy=1;

3207− dz = Math.sqrt(dx*dx+dy*dy)/6;

3208− var x_min = Math.ceil(xmin/dx);

3209− var y_min = Math.ceil(ymin/dy);

3210− for (x = x_min; x <= xmax; x += dx)

3211− for (y = y_min; y <= ymax; y += dy) {

3212− gxy = g(x,y);

3213− if (!isNaN(gxy)) {

3214− if (Math.abs(gxy)=="Infinity") {u = 0; v = dz;}

3215− else {u = dz/Math.sqrt(1+gxy*gxy); v = gxy*u;}

3216− line([x-u,y-v],[x+u,y+v]);

3217− }

3218− }

3219−}

3220−

3221−///////////////////////user graphics commands end here/////////////////////////

3222−

3223−function show_props(obj) {

3224− var result = "";

3225− for (var i=0; i< obj.childNodes.length; i++)

3226− result += obj.childNodes.item(i) + "\n";

3227− return result;

3228−}

3229−

3230−function displayCoord(evt) {

3231− if (showcoordinates) {

3232− var svgroot = evt.target.parentNode;

3233− var nl = svgroot.childNodes;

3234− for (var i=0; i<nl.length && nl.item(i).nodeName!="text"; i++);

3235− var cnode = nl.item(i);

3236− cnode.mtext = mtext;

3237− cnode.mtext([svgroot.getAttribute("width")-(-7),svgroot.getAttribute("height")-7],"("+getX(evt).toFixed(2)+", "+getY(evt).toFixed(2)+")", "left", "", "11");

3238−/* var dnode = nl.item(i+1);

3239− dnode.mtext = mtext;

3240− dnode.mtext([0,svgroot.getAttribute("height")-6],"Try (shift/alt)-dblclick", "right", "", "8");

3241−*/ }

3242−}

3243−

3244−function removeCoord(evt) {

3245− var svgroot = evt.target.parentNode;

3246− var nl = svgroot.childNodes;

3247− for (var i=0; i<nl.length && nl.item(i).nodeName!="text"; i++);

3248− var cnode = nl.item(i);

3249− cnode.mtext = mtext;

3250− cnode.mtext([svgroot.getAttribute("width")-0,svgroot.getAttribute("height")-0],"", "aboveleft", "");

3251−/* var dnode = nl.item(i+1);

3252− dnode.mtext = mtext;

3253− dnode.mtext([0,svgroot.getAttribute("height")-0],"", "aboveright", "");

3254−*/}

3255−

3256−function initASCIIMathCalculators(li) {

3257− var i;

3258− for (i=0; i<li.length; i++) {

3259− li[i].innerHTML = calcstr;

3260− AMprocessNode(li[i]);

3261− }

3262− li = document.getElementsByTagName("textarea");

3263− var st;

3264− for (i=0; i<li.length; i++) {

3265− st = li[i].getAttribute("onkeyup");

3266− if (st!=null) eval(String(st).replace(/function anonymous/,""));

3267− }

3268−}

3269−

3270−function calculate(inputId,outputId) {

3271− var str = document.getElementById(inputId).value;

3272− var err = "";

3273− var ind = str.lastIndexOf("\n");

3274− if (ind==str.length-1) str = str.slice(0,ind);

3275− str = str.slice(str.lastIndexOf("\n")+1);

3276− try {

3277− var res = eval(mathjs(str));

3278− } catch(e) {

3279− err = "syntax incomplete";

3280− }

3281− if (!isNaN(res) && res!="Infinity")

3282− str = "`"+str+" =` "+(Math.abs(res-Math.round(res*1000000)/1000000)<1e-15?Math.round(res*1000000)/1000000:res)+err;

3283− else if (str!="") str = "`"+str+"` = undefined"; //debug:+mathjs(str);

3284− var outnode = document.getElementById(outputId);

3285− var n = outnode.childNodes.length;

3286− for (var i=0; i<n; i++)

3287− outnode.removeChild(outnode.firstChild);

3288− outnode.appendChild(document.createTextNode(str));

3289− AMprocessNode(outnode);

3290−}

3291−

3292−function append(st){

3293− document.getElementById('in').value+=st;

3294− calculate('in','out');

3295− document.getElementById('in').scrollTop = 1000;

3296− document.getElementById('in').focus();

3297−}

3298−

3299−function clearTextArea(){

3300− document.getElementById('in').value="";

3301− calculate('in','out');

3302− document.getElementById('in').focus();

3303−}

3304−

3305−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> </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>";

3306−

3307−// GO1.1 Generic onload by Brothercake

3308−// http://www.brothercake.com/

3309−//onload function (replaces the onload="translate()" in the <body> tag)

3310−function generic()

3311−{

3312− if(!init()) return;

3313− if (translateOnLoad) {

3314− var nd = document.getElementById("processasciimathinmoodle");

3315− if (nd!=null) dsvglocation = nd.className;

3316− if (nd!=null || !checkforprocessasciimathinmoodle) {

3317− translate();

3318− if (!noSVG && translateASCIIsvg) drawPictures();

3319− }

3320− var li = getElementsByClass(document,"div","ASCIIMathCalculator");

3321− if (!noMathML && li.length>0) initASCIIMathCalculators(li);

3322− }

3323−};

3324−//setup onload function

3325−if(typeof window.addEventListener != 'undefined')

3326−{

3327− //.. gecko, safari, konqueror and standard

3328− window.addEventListener('load', generic, false);

3329−}

3330−else if(typeof document.addEventListener != 'undefined')

3331−{

3332− //.. opera 7

3333− document.addEventListener('load', generic, false);

3334−}

3335−else if(typeof window.attachEvent != 'undefined')

3336−{

3337− //.. win/ie

3338− window.attachEvent('onload', generic);

3339−}

3340−//** remove this condition to degrade older browsers

3341−else

3342−{

3343− //.. mac/ie5 and anything else that gets this far

3344− //if there's an existing onload function

3345− if(typeof window.onload == 'function')

3346− {

3347− //store it

3348− var existing = onload;

3349− //add new onload handler

3350− window.onload = function()

3351− {

3352− //call existing onload function

3353− existing();

3354− //call generic onload function

3355− generic();

3356− };

3357− }

3358− else

3359− {

3360− //setup onload function

3361− window.onload = generic;

3362− }

3363−}

data/ASCIIMathML.js.commentdeleted−2

@@ -1,2 +0,0 @@

1−/* ASCIIMathML.js - copyright Peter Jipsen, released under the GPL

2− See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */

data/ASCIIMathML.js.packeddeleted−374

@@ -1,374 +0,0 @@

1−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"

2−var checkforprocessasciimathinmoodle=false;var dsvglocation="";var isIE=document.createElementNS==null;var noMathML=false,translated=false;if(isIE){document.write("<object id=\"mathplayer\"\

3− classid=\"clsid:32F66A20-7614-11D4-BD11-00104BD3F987\"></object>");document.write("<?import namespace=\"m\" implementation=\"#mathplayer\"?>");}

4−function setStylesheet(s){var id="AMMLcustomStyleSheet";var n=document.getElementById(id);if(document.createStyleSheet){if(n)

5−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);}}}

6−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;}

7−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;}

8−function checkMathML(){if(navigator.appName.slice(0,8)=="Netscape")

9−if(navigator.appVersion.slice(0,1)>="5")noMathML=null;else noMathML=true;else if(navigator.appName.slice(0,9)=="Microsoft")

10−try{var ActiveX=new ActiveXObject("MathPlayer.Factory.1");noMathML=null;}catch(e){noMathML=true;}

11−else noMathML=true;if(noMathML&&notifyIfNoMathML){var msg="To view the ASCIIMathML notation use Internet Explorer + MathPlayer or Mozilla Firefox 2.0 or later.";if(alertIfNoMathML)

12−alert(msg);else return msg;}}

13−function hideWarning(){var body=document.getElementsByTagName("body")[0];body.removeChild(document.getElementById('AMMLwarningBox'));body.onclick=null;}

14−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);}

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20−else return-1;}

21−var AMnames=[];function initSymbols(){var texsymbols=[],i;for(i=0;i<AMsymbols.length;i++)

22−if(AMsymbols[i].tex)

23−texsymbols[texsymbols.length]={input:AMsymbols[i].tex,tag:AMsymbols[i].tag,output:AMsymbols[i].output,ttype:AMsymbols[i].ttype};AMsymbols=AMsymbols.concat(texsymbols);refreshSymbols();}

24−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;}

25−function define(oldstr,newstr){if(oldstr.substr(0,1)=="\\")

26−LMsymbols=LMsymbols.concat([{input:oldstr,tag:"mo",output:newstr,ttype:DEFINITION}]);else

27−AMsymbols=AMsymbols.concat([{input:oldstr,tag:"mo",output:newstr,tex:null,ttype:DEFINITION}]);refreshSymbols();}

28−function AMremoveCharsAndBlanks(str,n){var st;if(str.charAt(n)=="\\"&&str.charAt(n+1)!="\\"&&str.charAt(n+1)!=" ")

29−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);}

30−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;}

31−return h;}else

32−for(var i=n;i<arr.length&&arr[i]<str;i++);return i;}

33−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;}

34−more=k<AMnames.length&&str.slice(0,AMnames[k].length)>=AMnames[k];}

35−AMpreviousSymbol=AMcurrentSymbol;if(match!=""){AMcurrentSymbol=AMsymbols[mk].ttype;return AMsymbols[mk];}

36−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++;}

37−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++;}}}

38−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");}

39−if(st=="-"&&AMpreviousSymbol==INFIX){AMcurrentSymbol=INFIX;return{input:st,tag:tagst,output:st,ttype:UNARY,func:true};}

40−return{input:st,tag:tagst,output:st,ttype:CONST};}

41−function AMremoveBrackets(node){var st;if(node.nodeName=="mrow"){st=node.firstChild.firstChild.nodeValue;if(st=="("||st=="["||st=="{")node.removeChild(node.firstChild);}

42−if(node.nodeName=="mrow"){st=node.lastChild.firstChild.nodeValue;if(st==")"||st=="]"||st=="}")node.removeChild(node.lastChild);}}

43−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];}

44−if(symbol.ttype==DEFINITION){str=symbol.output+AMremoveCharsAndBlanks(str,symbol.input.length);symbol=AMgetSymbol(str);}

45−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)

46−node=createMmlNode("mrow",result[0]);else{node=createMmlNode("mo",document.createTextNode(symbol.output));node=createMmlNode("mrow",node);node.appendChild(result[0]);}

47−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);}

48−newFrag.appendChild(createMmlNode(symbol.tag,document.createTextNode(st)));if(st.charAt(st.length-1)==" "){node=createMmlNode("mspace");node.setAttribute("width","1ex");newFrag.appendChild(node);}

49−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]];}}

50−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++)

51−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++)

52−if(st.charCodeAt(j)>64&&st.charCodeAt(j)<91)newst=newst+

53−String.fromCharCode(symbol.codes[st.charCodeAt(j)-65]);else newst=newst+st.charAt(j);if(result[0].nodeName=="mi")

54−result[0]=createMmlNode("mo").appendChild(document.createTextNode(newst));else result[0].replaceChild(createMmlNode("mo").appendChild(document.createTextNode(newst)),result[0].childNodes[i]);}}

55−node=createMmlNode(symbol.tag,result[0]);node.setAttribute(symbol.atname,symbol.atval);return[node,result[1]];}

56−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")

57−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)

58−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];}

59−default:str=AMremoveCharsAndBlanks(str,symbol.input.length);return[createMmlNode(symbol.tag,document.createTextNode(symbol.output)),str];}}

60−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)

61−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]);}}

62−return[node,str];}

63−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)

64−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);}

65−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)

66−for(var j=0;j<node.childNodes.length;j++)

67−if(node.childNodes[j].firstChild.nodeValue==",")

68−pos[i][pos[i].length]=j;if(matrix&&i>1)matrix=pos[i].length==pos[i-2].length;}

69−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);}

70−row.appendChild(createMmlNode("mtd",frag));if(newFrag.childNodes.length>2){newFrag.removeChild(newFrag.firstChild);newFrag.removeChild(newFrag.firstChild);}

71−table.appendChild(createMmlNode("mtr",row));}

72−node=createMmlNode("mtable",table);if(typeof symbol.invisible=="boolean"&&symbol.invisible)node.setAttribute("columnalign","left");newFrag.replaceChild(node,newFrag.firstChild);}}}}

73−str=AMremoveCharsAndBlanks(str,symbol.input.length);if(typeof symbol.invisible!="boolean"||!symbol.invisible){node=createMmlNode("mo",document.createTextNode(symbol.output));newFrag.appendChild(node);}}

74−return[newFrag,str];}

75−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)

76−node.setAttribute("title",str.replace(/\s+/g," "));return node;}

77−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])));}}

78−expr=!expr;}

79−return newFrag;}

80−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++)

81−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`");}

82−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;}

83−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++)

84−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)

85−for(i=0;i<arr.length;i++)

86−if(i%2==0)arr[i]=AMautomathrec(arr[i]);str=arr.join(AMdelimiter1);arr=str.split(AMdelimiter1);for(i=0;i<arr.length;i++)

87−arr[i]=arr[i].replace(/AMescape1/g,AMdelimiter1);}

88−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++)

89−i+=processNodeR(n.childNodes[i],linebreaks,latex);}

90−return 0;}

91−function AMprocessNode(n,linebreaks,spanclassAM){var frag,st;if(spanclassAM!=null){frag=document.getElementsByTagName("span")

92−for(var i=0;i<frag.length;i++)

93−if(frag[i].className=="AM")

94−processNodeR(frag[i],linebreaks,false);}else{try{st=n.innerHTML;}catch(err){}

95−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);}}}

96−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",ou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Y},{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);}

97−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;}

98−more=k<LMnames.length&&str.slice(0,LMnames[k].length)>=LMnames[k];}

99−LMpreviousSymbol=LMcurrentSymbol;if(match!=""){LMcurrentSymbol=LMsymbols[mk].ttype;return LMsymbols[mk];}

100−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};}

101−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)

102−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)

103−return[null,str,null];}

104−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);}}

105−return[createMmlNode(symbol.tag,document.createTextNode(symbol.output)),str,symbol.tag];case CONST:var output=symbol.output;if(isIE){if(symbol.input=="'")

106−output="\u2032";else if(symbol.input=="''")

107−output="\u2033";else if(symbol.input=="'''")

108−output="\u2033\u2032";else if(symbol.input=="''''")

109−output="\u2033\u2033";else if(symbol.input=="\\square")

110−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];}}}

111−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")

112−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");}

113−node.setAttribute("maxsize",symbol.atval);if(symbol.rtag!=null)

114−return[node,str,symbol.rtag];else

115−return[node,str,symbol.tag];case BIG:var atval=symbol.atval;if(isIE)

116−atval=symbol.ieval;symbol=LMgetSymbol(str);if(symbol==null)

117−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);}

118−return[node,str,symbol.tag];case LEFTBRACKET:if(symbol.input=="\\left"){symbol=LMgetSymbol(str);if(symbol!=null){if(symbol.input==".")

119−symbol.invisible=true;str=LMremoveCharsAndBlanks(str,symbol.input.length);}}

120−result=LMparseExpr(str,true,false);if(symbol==null||(typeof symbol.invisible=="boolean"&&symbol.invisible))

121−node=createMmlNode("mrow",result[0]);else{node=createMmlNode("mo",document.createTextNode(symbol.output));node=createMmlNode("mrow",node);node.appendChild(result[0]);}

122−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)

123−mask="l";else{str=LMremoveCharsAndBlanks(str,symbol.input.length);if(symbol.input!="{")

124−mask="l";else do{symbol=LMgetSymbol(str);if(symbol!=null){str=LMremoveCharsAndBlanks(str,symbol.input.length);if(symbol.input!="}")

125−mask=mask+symbol.input;}}while(symbol!=null&&symbol.input!=""&&symbol.input!="}");}

126−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)

127−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)

128−node.setAttribute("columnspacing","0.25em");else

129−node.setAttribute("columnspacing","0.167em");node.setAttribute("columnalign","right center left");node.setAttribute("displaystyle","true");node=createMmlNode("mrow",node);return[node,result[1],null];}

130−case TEXT:if(str.charAt(0)=="{")i=str.indexOf("}");else i=0;if(i==-1)

131−i=str.length;st=str.slice(1,i);if(st.charAt(0)==" "){node=createMmlNode("mspace");node.setAttribute("width","0.33em");newFrag.appendChild(node);}

132−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);}

133−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);}

134−node.appendChild(result[0]);return[node,result[1],symbol.tag];}}

135−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])

136−node.appendChild(space);return[node,result[1],symbol.tag];}else

137−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")

138−output="\u0302";else if(symbol.input=="\\widehat")

139−output="\u005E";else if(symbol.input=="\\bar")

140−output="\u00AF";else if(symbol.input=="\\grave")

141−output="\u0300";else if(symbol.input=="\\tilde")

142−output="\u0303";}

143−var node1=createMmlNode("mo",document.createTextNode(output));if(symbol.input=="\\vec"||symbol.input=="\\check")

144−node1.setAttribute("maxsize","1.2");if(isIE&&symbol.input=="\\bar")

145−node1.setAttribute("maxsize","0.5");if(symbol.input=="\\underbrace"||symbol.input=="\\underline")

146−node1.setAttribute("accentunder","true");else

147−node1.setAttribute("accent","true");node.appendChild(node1);if(symbol.input=="\\overbrace"||symbol.input=="\\underbrace")

148−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++)

149−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++)

150−if(st.charCodeAt(j)>64&&st.charCodeAt(j)<91)newst=newst+

151−String.fromCharCode(symbol.codes[st.charCodeAt(j)-65]);else newst=newst+st.charAt(j);if(result[0].nodeName=="mi")

152−result[0]=createMmlNode("mo").appendChild(document.createTextNode(newst));else result[0].replaceChild(createMmlNode("mo").appendChild(document.createTextNode(newst)),result[0].childNodes[i]);}}

153−node=createMmlNode(symbol.tag,result[0]);node.setAttribute(symbol.atname,symbol.atval);if(symbol.input=="\\scriptstyle"||symbol.input=="\\scriptscriptstyle")

154−node.setAttribute("displaystyle","false");return[node,result[1],symbol.tag];}

155−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")

156−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];}}

157−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)

158−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]);}

159−node=createMmlNode("mrow",node);}else{node=createMmlNode(symbol.tag,node);if(symbol.input=="\\atop"||symbol.input=="\\choose")

160−node.setAttribute("linethickness","0ex");node.appendChild(result[0]);if(symbol.input=="\\choose")

161−node=createMmlNode("mfenced",node);}}

162−return[node,str,tag];}

163−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);}

164−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==".")

165−symbol.invisible=true;if(symbol!=null)

166−tag=symbol.rtag;}

167−if(symbol!=null)

168−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++)

169−if(node.childNodes[j].firstChild.nodeValue=="&")

170−pos[i][pos[i].length]=j;}

171−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);}

172−row.appendChild(createMmlNode("mtd",frag));if(newFrag.childNodes.length>2){newFrag.removeChild(newFrag.firstChild);newFrag.removeChild(newFrag.firstChild);}

173−table.appendChild(createMmlNode("mtr",row));}

174−return[table,str];}

175−if(typeof symbol.invisible!="boolean"||!symbol.invisible){node=createMmlNode("mo",document.createTextNode(symbol.output));newFrag.appendChild(node);}}

176−return[newFrag,str,tag];}

177−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}

178−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}

179−function LMprocessNode(n){var frag,st;try{st=n.innerHTML;}catch(err){}

180−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)

181−st=simpleLaTeXformatting(st);if(st!=null&&am&&!avoidinnerHTML){st=ASCIIandgraphformatting(st);}

182−st=st.replace(/%7E/g,"~");if(!avoidinnerHTML)n.innerHTML=st;processNodeR(n,false,true);}}

183−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)

184−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));}

185−function C(x,k){var res=1;for(var i=0;i<k;i++)res*=(x-i)/(k-i);return res;}

186−function chop(x,n){if(n==null)n=0;return Math.floor(x*Math.pow(10,n))/Math.pow(10,n);}

187−function ran(a,b,n){if(n==null)n=0;return chop((b+Math.pow(10,-n)-a)*Math.random()+a,n);}

188−function myCreateElementSVG(t){if(isIE)return doc.createElement(t);else return doc.createElementNS("http://www.w3.org/2000/svg",t);}

189−function getElementsByClass(container,tagName,clsName){var list=new Array(0);var collection=container.getElementsByTagName(tagName);for(var i=0;i<collection.length;i++)

190−if(collection[i].className.slice(0,clsName.length)==clsName)

191−list[list.length]=collection[i];return list;}

192−function showobj(obj){var st="",i;for(i in obj)

193−st+=(obj.getAttribute(i)==null?"":" "+i+":"+obj.getAttribute(i));return st;}

194−function findPos(obj){var curleft=curtop=0;if(obj.offsetParent){curleft=obj.offsetLeft

195−curtop=obj.offsetTop

196−while(obj=obj.offsetParent){curleft+=obj.offsetLeft

197−curtop+=obj.offsetTop}}

198−return[curleft,curtop];}

199−function checkSVG(){if(navigator.appName.slice(0,8)=="Netscape")

200−if(window['SVGElement'])noSVG=null;else noSVG=true;else if(navigator.appName.slice(0,9)=="Microsoft")

201−try{var oSVG=eval("new ActiveXObject('Adobe.SVGCtl.3');");noSVG=null;}catch(e){noSVG=true;}

202−else if(navigator.appName.slice(0,5)=="Opera")

203−noSVG=null;else noSVG=true;if(noSVG&&notifyIfNoSVG){var msg="To view the ASCIIsvg images use Internet Explorer + Adobe SVGviewer or Mozilla Firefox 2.0 or later."

204−if(alertIfNoSVG)

205−alert(msg);else return msg;}}

206−function setText(st,id){var node=document.getElementById(id);if(node!=null)

207−if(node.childNodes.length!=0)node.childNodes[0].nodeValue=st;else node.appendChild(document.createTextNode(st));}

208−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"));}

209−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"));}

210−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")

211−errstr=err.name+" "+err.message+" "+err.number+" "+err.description;else errstr=err;alert(errstr+"\n"+src)}}}

212−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();"));}

213−ht=picture.getAttribute("height");if(isIE){picture.setAttribute("wmode","transparent");}

214−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);}

215−if(ht==null)ht="";if(ht==""||src=="")

216−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);}

217−translateandeval(src);}

218−lastSlot+=len;}

219−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;}

220−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;}

221−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];}

222−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)}

223−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);}

224−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);}

225−var sinceFirstClick=0;var dblClkTimer;function timer(){if(sinceFirstClick<60){sinceFirstClick++;setTimeout("timer()",10);}else{clearTimeout(dblClkTimer);dblClkTimer="";}}

226−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);}}

227−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");}

228−function showcode(){}

229−function setBorder(x){border=x}

230−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)

231−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))

232−alert("initPicture(xmin,xmax,ymin,ymax) requires numbers ymin < ymax");else{if(width==null){width=picture.getAttribute("width");if(width==null||width=="")width=defaultwidth;}

233−picture.setAttribute("width",width);if(height==null){height=picture.getAttribute("height");if(height==null||height=="")height=defaultheight;}

234−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];}

235−if(isIE){if(picture.FULLSCREEN==undefined){setTimeout('drawPictures()',50);throw"wait";}

236−svgpicture=picture.getSVGDocument().getElementById("root");if(svgpicture==null){setTimeout('drawPictures()',50);throw"wait";}

237−svgpicture=picture.getSVGDocument().getElementById("root");while(svgpicture.childNodes.length>0)

238−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);}

239−svgpicture=qnode;doc=document;}

240−var nd=document.getElementById(picture.getAttribute("id")+"mml");if(nd!=null)

241−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;}}}

242−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);}

243−node.setAttribute("d","M"+(p[0]*xunitlength+origin[0])+","+

244−(height-p[1]*yunitlength-origin[1])+" "+

245−(q[0]*xunitlength+origin[0])+","+(height-q[1]*yunitlength-origin[1]));node.setAttribute("stroke-width",strokewidth);if(strokedasharray!=null)

246−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");}}

247−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);}

248−if(typeof plist=="string")st=plist;else{st="M";st+=(plist[0][0]*xunitlength+origin[0])+","+

249−(height-plist[0][1]*yunitlength-origin[1])+" "+c;for(i=1;i<plist.length;i++)

250−st+=(plist[i][0]*xunitlength+origin[0])+","+

251−(height-plist[i][1]*yunitlength-origin[1])+" ";}

252−node.setAttribute("d",st);node.setAttribute("stroke-width",strokewidth);if(strokedasharray!=null)

253−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")

254−for(i=0;i<plist.length;i++)

255−if(c!="C"&&c!="T"||i!=1&&i!=2)

256−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");}}

257−function curve(plist,id,endpts){path(plist,id,"T",endpts);}

258−function vector(p,q,id){line(p,q,id,"","->");}

259−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);}

260−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);}

261−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")

262−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);}

263−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]);}

264−if(node==null){node=myCreateElementSVG("path");node.setAttribute("id",id);svgpicture.appendChild(node);}

265−node.setAttribute("d","M"+(start[0]*xunitlength+origin[0])+","+

266−(height-start[1]*yunitlength-origin[1])+" A"+radius*xunitlength+","+

267−radius*yunitlength+" 0 "+largearc+",0 "+(end[0]*xunitlength+origin[0])+","+

268−(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);}

269−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");}

270−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);}

271−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);}

272−function triangle(p,q,r,id){path([p,q,r,p],id)}

273−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);}

274−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);}

275−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);}

276−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;}

277−node.style.left=""+(p[0]*xunitlength+origin[0]+dx)+"px";node.style.top=""+(height-p[1]*yunitlength-origin[1]+dy)+"px";}

278−return p;}

279−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;}

280−if(/left/.test(pos)){textanchor="end";dx=-fontsize/4;}}

281−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));}

282−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;}

283−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;}

284−if(pos.slice(0,4)=="left"||pos.slice(5,9)=="left"){textanchor="end";dx=-fontsize/2;}}

285−var node=this;if(this.nodeName=="svg"){node=myCreateElementSVG("text");this.appendChild(node);node.appendChild(doc.createTextNode(st));}

286−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);}

287−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);}

288−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);}

289−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);}

290−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);}

291−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);}

292−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)));}

293−if(label!=null)

294−text(center,label,(pos==null?"below":pos),(id==null?id:id+"label"))}

295−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])+" "+

296−(w[1]-15*u[1]-4*up[1])+" L "+(w[0]-3*u[0])+" "+(w[1]-3*u[1])+" L "+

297−(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);}}

298−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);}

299−function grid(dx,dy){axes(dx,dy,null,dx,dy)}

300−function noaxes(){if(!initialized)initPicture();}

301−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;}

302−if(typeof dy=="string"){gdx=dy;dy=null;}

303−if(xscl!=null){dx=xscl;gdx=xscl;labels=dx}

304−if(yscl!=null){dy=yscl;gdy=yscl}

305−if(xtick!=null){dx=xtick}

306−if(ytick!=null){dy=ytick}

307−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)

308−st+=" M"+x+",0"+" "+x+","+height;for(x=origin[0]-gdx;x>0;x=x-gdx)

309−st+=" M"+x+",0"+" "+x+","+height;for(y=height-origin[1];y<height;y=y+gdy)

310−st+=" M0,"+y+" "+width+","+y;for(y=height-origin[1]-gdy;y>0;y=y-gdy)

311−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);}

312−pnode=myCreateElementSVG("path");st="M0,"+(height-origin[1])+" "+width+","+

313−(height-origin[1])+" M"+origin[0]+",0 "+origin[0]+","+height;for(x=origin[0]+dx;x<width;x=x+dx)

314−st+=" M"+x+","+(height-origin[1]+ticklength)+" "+x+","+

315−(height-origin[1]-ticklength);for(x=origin[0]-dx;x>0;x=x-dx)

316−st+=" M"+x+","+(height-origin[1]+ticklength)+" "+x+","+

317−(height-origin[1]-ticklength);for(y=height-origin[1]+dy;y<height;y=y+dy)

318−st+=" M"+(origin[0]+ticklength)+","+y+" "+(origin[0]-ticklength)+","+y;for(y=height-origin[1]-dy;y>0;y=y-dy)

319−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)

320−text([x,ly],chopZ(x.toFixed(ddx)),lxp);for(x=-ldx;xmin<=x;x=x-ldx)

321−text([x,ly],chopZ(x.toFixed(ddx)),lxp);for(y=ldy;y<=ymax;y=y+ldy)

322−text([lx,y],chopZ(y.toFixed(ddy)),lyp);for(y=-ldy;ymin<=y;y=y-ldy)

323−text([lx,y],chopZ(y.toFixed(ddy)),lyp);}

324−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);}

325−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");}

326−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--;}

327−while(j>=0&&(ch=st.charAt(j))>="a"&&ch<="z"||ch>="A"&&ch<="Z")

328−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")

329−j--;}else{return"Error: incorrect syntax in "+st+" at position "+j;}

330−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;}

331−st=st.slice(0,j+1)+"Math.pow("+st.slice(j+1,i)+","+st.slice(i+1,k)+")"+

332−st.slice(k);}

333−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--;}

334−while(j>=0&&(ch=st.charAt(j))>="a"&&ch<="z"||ch>="A"&&ch<="Z")

335−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")

336−j--;}else{return"Error: incorrect syntax in "+st+" at position "+j;}

337−st=st.slice(0,j+1)+"factorial("+st.slice(j+1,i)+")"+st.slice(i+1);}

338−return st;}

339−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")

340−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])+" }");}

341−if(typeof x_min=="string"){name=x_min;x_min=xmin}

342−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];}

343−path(pth,name,null,endpts);return pth;}

344−function slopefield(fun,dx,dy){var g=fun;if(typeof fun=="string")

345−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)

346−for(y=y_min;y<=ymax;y+=dy){gxy=g(x,y);if(!isNaN(gxy)){if(Math.abs(gxy)=="Infinity"){u=0;v=dz;}

347−else{u=dz/Math.sqrt(1+gxy*gxy);v=gxy*u;}

348−line([x-u,y-v],[x+u,y+v]);}}}

349−function show_props(obj){var result="";for(var i=0;i<obj.childNodes.length;i++)

350−result+=obj.childNodes.item(i)+"\n";return result;}

351−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");}}

352−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","");}

353−function initASCIIMathCalculators(li){var i;for(i=0;i<li.length;i++){li[i].innerHTML=calcstr;AMprocessNode(li[i]);}

354−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/,""));}}

355−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";}

356−if(!isNaN(res)&&res!="Infinity")

357−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++)

358−outnode.removeChild(outnode.firstChild);outnode.appendChild(document.createTextNode(str));AMprocessNode(outnode);}

359−function append(st){document.getElementById('in').value+=st;calculate('in','out');document.getElementById('in').scrollTop=1000;document.getElementById('in').focus();}

360−function clearTextArea(){document.getElementById('in').value="";calculate('in','out');document.getElementById('in').focus();}

361−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> </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()

362−{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();}

363−var li=getElementsByClass(document,"div","ASCIIMathCalculator");if(!noMathML&&li.length>0)initASCIIMathCalculators(li);}};if(typeof window.addEventListener!='undefined')

364−{window.addEventListener('load',generic,false);}

365−else if(typeof document.addEventListener!='undefined')

366−{document.addEventListener('load',generic,false);}

367−else if(typeof window.attachEvent!='undefined')

368−{window.attachEvent('onload',generic);}

369−else

370−{if(typeof window.onload=='function')

371−{var existing=onload;window.onload=function()

372−{existing();generic();};}

373−else

374−{window.onload=generic;}}

data/LaTeXMathML.js.commentnew file+16

@@ -0,0 +1,16 @@

1+/*

2+LaTeXMathML.js from http://math.etsu.edu/LaTeXMathML/

3+Adapted by Jeff Knisely and Douglas Woodall from ASCIIMathML.js v. 1.4.7,

6+This program is free software; you can redistribute it and/or modify

7+it under the terms of the GNU General Public License as published by

8+the Free Software Foundation; either version 2 of the License, or (at

9+your option) any later version.

10+

11+This program is distributed in the hope that it will be useful,

12+but WITHOUT ANY WARRANTY; without even the implied warranty of

13+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU

14+General Public License (at http://www.gnu.org/copyleft/gpl.html)

15+for more details.

16+*/

data/LaTeXMathML.js.packednew file+191

@@ -0,0 +1,191 @@

2+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)

3+alert("This webpage requires a recent browser such as \nMozilla/Netscape 7+ or Internet Explorer 6+MathPlayer")

4+function AMcreateElementXHTML(t){if(isIE)return document.createElement(t);else return document.createElementNS("http://www.w3.org/1999/xhtml",t);}

5+function AMnoMathMLNote(){var nd=AMcreateElementXHTML("h3");nd.setAttribute("align","center")

6+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;}

7+function AMisMathMLavailable(){if(navigator.appName.slice(0,8)=="Netscape")

8+if(navigator.appVersion.slice(0,1)>="5")return null;else return AMnoMathMLNote();else if(navigator.appName.slice(0,9)=="Microsoft")

9+try{var ActiveX=new ActiveXObject("MathPlayer.Factory.1");return null;}catch(e){return AMnoMathMLNote();}

10+else return AMnoMathMLNote();}

11+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 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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

12+else return-1;}

13+var AMnames=[];function AMinitSymbols(){AMsymbols.sort(compareNames);for(i=0;i<AMsymbols.length;i++)AMnames[i]=AMsymbols[i].input;}

14+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);}

15+function AMcreateMmlNode(t,frag){if(isIE)var node=document.createElement("m:"+t);else var node=document.createElementNS(AMmathml,t);node.appendChild(frag);return node;}

16+function newcommand(oldstr,newstr){AMsymbols=AMsymbols.concat([{input:oldstr,tag:"mo",output:newstr,ttype:DEFINITION}]);}

17+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);}

18+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;}

19+return h;}else

20+for(var i=n;i<arr.length&&arr[i]<str;i++);return i;}

21+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;}

22+more=k<AMnames.length&&str.slice(0,AMnames[k].length)>=AMnames[k];}

23+AMpreviousSymbol=AMcurrentSymbol;if(match!=""){AMcurrentSymbol=AMsymbols[mk].ttype;return AMsymbols[mk];}

24+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};}

25+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)

26+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)

27+return[null,str,null];}

28+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);}}

29+return[AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)),str,symbol.tag];case CONST:var output=symbol.output;if(isIE){if(symbol.input=="'")

30+output="\u2032";else if(symbol.input=="''")

31+output="\u2033";else if(symbol.input=="'''")

32+output="\u2033\u2032";else if(symbol.input=="''''")

33+output="\u2033\u2033";else if(symbol.input=="\\square")

34+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];}}}

35+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")

36+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");}

37+node.setAttribute("maxsize",symbol.atval);if(symbol.rtag!=null)

38+return[node,str,symbol.rtag];else

39+return[node,str,symbol.tag];case BIG:var atval=symbol.atval;if(isIE)

40+atval=symbol.ieval;symbol=AMgetSymbol(str);if(symbol==null)

41+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);}

42+return[node,str,symbol.tag];case LEFTBRACKET:if(symbol.input=="\\left"){symbol=AMgetSymbol(str);if(symbol!=null){if(symbol.input==".")

43+symbol.invisible=true;str=AMremoveCharsAndBlanks(str,symbol.input.length);}}

44+result=AMparseExpr(str,true,false);if(symbol==null||(typeof symbol.invisible=="boolean"&&symbol.invisible))

45+node=AMcreateMmlNode("mrow",result[0]);else{node=AMcreateMmlNode("mo",document.createTextNode(symbol.output));node=AMcreateMmlNode("mrow",node);node.appendChild(result[0]);}

46+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)

47+mask="l";else{str=AMremoveCharsAndBlanks(str,symbol.input.length);if(symbol.input!="{")

48+mask="l";else do{symbol=AMgetSymbol(str);if(symbol!=null){str=AMremoveCharsAndBlanks(str,symbol.input.length);if(symbol.input!="}")

49+mask=mask+symbol.input;}}while(symbol!=null&&symbol.input!=""&&symbol.input!="}");}

50+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)

51+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)

52+node.setAttribute("columnspacing","0.25em");else

53+node.setAttribute("columnspacing","0.167em");node.setAttribute("columnalign","right center left");node.setAttribute("displaystyle","true");node=AMcreateMmlNode("mrow",node);return[node,result[1],null];}

54+case TEXT:if(str.charAt(0)=="{")i=str.indexOf("}");else i=0;if(i==-1)

55+i=str.length;st=str.slice(1,i);if(st.charAt(0)==" "){node=AMcreateElementMathML("mspace");node.setAttribute("width","0.33em");newFrag.appendChild(node);}

56+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);}

57+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);}

58+node.appendChild(result[0]);return[node,result[1],symbol.tag];}}

59+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])

60+node.appendChild(space);return[node,result[1],symbol.tag];}else

61+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")

62+output="\u0302";else if(symbol.input=="\\widehat")

63+output="\u005E";else if(symbol.input=="\\bar")

64+output="\u00AF";else if(symbol.input=="\\grave")

65+output="\u0300";else if(symbol.input=="\\tilde")

66+output="\u0303";}

67+var node1=AMcreateMmlNode("mo",document.createTextNode(output));if(symbol.input=="\\vec"||symbol.input=="\\check")

68+node1.setAttribute("maxsize","1.2");if(isIE&&symbol.input=="\\bar")

69+node1.setAttribute("maxsize","0.5");if(symbol.input=="\\underbrace"||symbol.input=="\\underline")

70+node1.setAttribute("accentunder","true");else

71+node1.setAttribute("accent","true");node.appendChild(node1);if(symbol.input=="\\overbrace"||symbol.input=="\\underbrace")

72+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++)

73+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++)

74+if(st.charCodeAt(j)>64&&st.charCodeAt(j)<91)newst=newst+

75+String.fromCharCode(symbol.codes[st.charCodeAt(j)-65]);else newst=newst+st.charAt(j);if(result[0].nodeName=="mi")

76+result[0]=AMcreateElementMathML("mo").appendChild(document.createTextNode(newst));else result[0].replaceChild(AMcreateElementMathML("mo").appendChild(document.createTextNode(newst)),result[0].childNodes[i]);}}

77+node=AMcreateMmlNode(symbol.tag,result[0]);node.setAttribute(symbol.atname,symbol.atval);if(symbol.input=="\\scriptstyle"||symbol.input=="\\scriptscriptstyle")

78+node.setAttribute("displaystyle","false");return[node,result[1],symbol.tag];}

79+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];}

80+node=AMcreateElementMathML("mstyle");node.setAttribute(symbol.atval,tclr);node.appendChild(result2[0]);return[node,result2[1],symbol.tag];}}

81+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];}}

82+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)

83+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]);}

84+node=AMcreateMmlNode("mrow",node);}else{node=AMcreateMmlNode(symbol.tag,node);if(symbol.input=="\\atop"||symbol.input=="\\choose")

85+node.setAttribute("linethickness","0ex");node.appendChild(result[0]);if(symbol.input=="\\choose")

86+node=AMcreateMmlNode("mfenced",node);}}

87+return[node,str,tag];}

88+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);}

89+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==".")

90+symbol.invisible=true;if(symbol!=null)

91+tag=symbol.rtag;}

92+if(symbol!=null)

93+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++)

94+if(node.childNodes[j].firstChild.nodeValue=="&")

95+pos[i][pos[i].length]=j;}

96+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);}

97+row.appendChild(AMcreateMmlNode("mtd",frag));if(newFrag.childNodes.length>2){newFrag.removeChild(newFrag.firstChild);newFrag.removeChild(newFrag.firstChild);}

98+table.appendChild(AMcreateMmlNode("mtr",row));}

99+return[table,str];}

100+if(typeof symbol.invisible!="boolean"||!symbol.invisible){node=AMcreateMmlNode("mo",document.createTextNode(symbol.output));newFrag.appendChild(node);}}

101+return[newFrag,str,tag];}

102+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];}

103+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)

104+node.setAttribute("title",str.replace(/\s+/g," "));if(false){var fnode=AMcreateElementXHTML("font");fnode.setAttribute("face",mathfontfamily);fnode.appendChild(node);return fnode;}

105+return node;}

106+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])));}}

107+expr=!expr;}

108+return newFrag;}

109+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++)

110+arr[i]=arr[i].replace(/\\\$/g,"\$");if(arr.length>1||mtch){if(checkForMathML){checkForMathML=false;var nd=AMisMathMLavailable();AMnoMathML=nd!=null;if(AMnoMathML&&notifyIfNoMathML)

111+if(alertIfNoMathML)

112+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]);}

113+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++)

114+i+=AMprocessNodeR(n.childNodes[i],linebreaks);}

115+return 0;}

116+function AMprocessNode(n,linebreaks,spanclassAM){var frag,st;if(spanclassAM!=null){frag=document.getElementsByTagName("span")

117+for(var i=0;i<frag.length;i++)

118+if(frag[i].className=="AM")

119+AMprocessNodeR(frag[i],linebreaks);}else{try{st=n.innerHTML;}catch(err){}

120+if(st==null||st.indexOf("\$")!=-1)

121+AMprocessNodeR(n,linebreaks);}

122+if(isIE){frag=document.getElementsByTagName('math');for(var i=0;i<frag.length;i++)frag[i].update()}}

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124+{for(var i=0;i<TheBody.childNodes.length;i++){LaTeXpreProcess(TheBody.childNodes[i])}}}

125+else{if(TheBody.nodeType==3&&!(IsTextOnlyArea.test(TheBody.parentNode.nodeName)))

126+{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]*$/,"")

127+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;}

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160+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;}}

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162+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);}}

163+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;}}}

164+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");}

165+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);}

166+if(DIV2LI.firstChild.className=="listitemmarker"){DIV2LI.style.listStyleType="none";}

167+RootNode.appendChild(DIV2LI)}

168+AllDivs[i].removeChild(AllDivs[i].firstChild);}

169+AllDivs[i].appendChild(RootNode);}}

170+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"

171+refNode.className=AllAnchors[i].className;AllAnchors[i].appendChild(refNode);}}}}}

172+return TheBody;}

173+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");}

174+if(AMbody.tagName=="PRE"){var PreChilds=document.createDocumentFragment();var DivChilds=document.createElement("DIV");while(AMbody.hasChildNodes()){DivChilds.appendChild(AMbody.firstChild);}

175+PreChilds.appendChild(DivChilds);AMbody.parentNode.replaceChild(PreChilds,AMbody);AMbody=DivChilds;}

176+AMprocessNode(AMbody,false,spanclassAM);}}else{AMbody=document.getElementsByTagName("body")[0];try{AMbody=LaTeXDivsAndRefs(LaTeXpreProcess(AMbody));}catch(err){alert("Unknown Error: Defaulting to Original LaTeXMathML");}

177+AMprocessNode(AMbody,false,spanclassAM);}}}

178+if(isIE){document.write("<object id=\"mathplayer\" classid=\"clsid:32F66A20-7614-11D4-BD11-00104BD3F987\"></object>");document.write("<?import namespace=\"m\" implementation=\"#mathplayer\"?>");}

179+function generic()

180+{translate();};if(typeof window.addEventListener!='undefined')

181+{window.addEventListener('load',generic,false);}

182+else if(typeof document.addEventListener!='undefined')

183+{document.addEventListener('load',generic,false);}

184+else if(typeof window.attachEvent!='undefined')

185+{window.attachEvent('onload',generic);}

186+else

187+{if(typeof window.onload=='function')

188+{var existing=onload;window.onload=function()

189+{existing();generic();};}

190+else

191+{window.onload=generic;}}

man/man1/pandoc.1.md+3−3

@@ -107,9 +107,9 @@ to Pandoc. Or use `html2markdown`(1), a wrapper around `pandoc`.

107 only when the input format is `markdown`. It is selected automatically

108 when the output format is `latex` or `context`.)

109

110−-m*URL*, \--asciimathml=*URL*

110+-m*URL*, \--latexmathml=*URL*

111−: Use ASCIIMathML to display embedded TeX math in HTML output.

111+: Use LaTeXMathML to display embedded TeX math in HTML output.

112− To insert a link to a local copy of the `ASCIIMathML.js` script,

112+ To insert a link to a local copy of the `LaTeXMathML.js` script,

113 provide a *URL*. If no *URL* is provided, the contents of the

114 script will be inserted directly into the HTML header.

115

pandoc.cabal+4−4

@@ -51,9 +51,9 @@ Extra-Source-Files:

51 data/headers/OpenDocument.header,

52 data/headers/RTF.header,

53 data/headers/S5.header,

54− -- data for ASCIIMathML writer

54+ -- data for LaTeXMathML writer

55− data/ASCIIMathML.js.comment,

55+ data/LaTeXMathML.js.comment,

56− data/ASCIIMathML.js.packed,

56+ data/LaTeXMathML.js.packed,

57 -- data for S5 writer

58 data/ui/default/slides.js.comment,

59 data/ui/default/slides.js.packed,

@@ -168,7 +168,7 @@ Library

168 Text.Pandoc.Shared,

169 Text.Pandoc.ODT,

170 Text.Pandoc.PDF,

171− Text.Pandoc.ASCIIMathML,

171+ Text.Pandoc.LaTeXMathML,

172 Text.Pandoc.DefaultHeaders,

173 Text.Pandoc.Highlighting,

174 Text.Pandoc.Readers.HTML,

tests/latex-reader.native+7−7

@@ -274,13 +274,13 @@ Pandoc (Meta [Str "Pandoc",Space,Str "Test",Space,Str "Suite"] ["John MacFarlane

274, BulletList

275 [ [ Para [TeX "\\cite[22-23]{smith.1899}"] ]

276 , [ Para [TeX "\\doublespacing"] ]

277− , [ Para [Math "2+2=4"] ]

277+ , [ Para [Math InlineMath "2+2=4"] ]

278− , [ Para [Math "x \\in y"] ]

278+ , [ Para [Math InlineMath "x \\in y"] ]

279− , [ Para [Math "\\alpha \\wedge \\omega"] ]

279+ , [ Para [Math InlineMath "\\alpha \\wedge \\omega"] ]

280− , [ Para [Math "223"] ]

280+ , [ Para [Math InlineMath "223"] ]

281− , [ Para [Math "p",Str "-",Str "Tree"] ]

281+ , [ Para [Math InlineMath "p",Str "-",Str "Tree"] ]

282− , [ Para [Math "\\frac{d}{dx}f(x)=\\lim_{h\\to 0}\\frac{f(x+h)-f(x)}{h}"] ]

282+ , [ Para [Math InlineMath "\\frac{d}{dx}f(x)=\\lim_{h\\to 0}\\frac{f(x+h)-f(x)}{h}"] ]

283− , [ 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 "."] ] ]

283+ , [ 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 "."] ] ]

284, Para [Str "These",Space,Str "shouldn",Apostrophe,Str "t",Space,Str "be",Space,Str "math:"]

285, BulletList

286 [ [ Para [Str "To",Space,Str "get",Space,Str "the",Space,Str "famous",Space,Str "equation,",Space,Str "write",Space,Code "$e = mc^2$",Str "."] ]

tests/s5.fancy.html+155−325

@@ -9,151 +9,89 @@

9 /><meta name="author" content="Jen Jones"

10 /><meta name="date" content="July 15, 2006"

11 /><script type="text/javascript">

12−/* ASCIIMathML.js - copyright Peter Jipsen, released under the GPL

12+/*

13− See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */

13+LaTeXMathML.js from http://math.etsu.edu/LaTeXMathML/

14−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"

14+Adapted by Jeff Knisely and Douglas Woodall from ASCIIMathML.js v. 1.4.7,

15−var checkforprocessasciimathinmoodle=false;var dsvglocation="";var isIE=document.createElementNS==null;var noMathML=false,translated=false;if(isIE){document.write("<object id=\"mathplayer\"\

16− classid=\"clsid:32F66A20-7614-11D4-BD11-00104BD3F987\"></object>");document.write("<?import namespace=\"m\" implementation=\"#mathplayer\"?>");}

16+

17−function setStylesheet(s){var id="AMMLcustomStyleSheet";var n=document.getElementById(id);if(document.createStyleSheet){if(n)

17+This program is free software; you can redistribute it and/or modify

18−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);}}}

18+it under the terms of the GNU General Public License as published by

19−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;}

19+the Free Software Foundation; either version 2 of the License, or (at

20−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;}

20+your option) any later version.

21−function checkMathML(){if(navigator.appName.slice(0,8)=="Netscape")

21+

22−if(navigator.appVersion.slice(0,1)>="5")noMathML=null;else noMathML=true;else if(navigator.appName.slice(0,9)=="Microsoft")

22+This program is distributed in the hope that it will be useful,

23−try{var ActiveX=new ActiveXObject("MathPlayer.Factory.1");noMathML=null;}catch(e){noMathML=true;}

23+but WITHOUT ANY WARRANTY; without even the implied warranty of

24−else noMathML=true;if(noMathML&&notifyIfNoMathML){var msg="To view the ASCIIMathML notation use Internet Explorer + MathPlayer or Mozilla Firefox 2.0 or later.";if(alertIfNoMathML)

24+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU

25−alert(msg);else return msg;}}

25+General Public License (at http://www.gnu.org/copyleft/gpl.html)

26−function hideWarning(){var body=document.getElementsByTagName("body")[0];body.removeChild(document.getElementById('AMMLwarningBox'));body.onclick=null;}

26+for more details.

27−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);}

27+*/

28−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]);}

28+

29−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);}}

29+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)

30−function createElementXHTML(t){if(isIE)return document.createElement(t);else return document.createElementNS("http://www.w3.org/1999/xhtml",t);}

30+alert("This webpage requires a recent browser such as \nMozilla/Netscape 7+ or Internet Explorer 6+MathPlayer")

31−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;}

31+function AMcreateElementXHTML(t){if(isIE)return document.createElement(t);else return document.createElementNS("http://www.w3.org/1999/xhtml",t);}

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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

33else return-1;}

39else return-1;}

34−var AMnames=[];function initSymbols(){var texsymbols=[],i;for(i=0;i<AMsymbols.length;i++)

40+var AMnames=[];function AMinitSymbols(){AMsymbols.sort(compareNames);for(i=0;i<AMsymbols.length;i++)AMnames[i]=AMsymbols[i].input;}

35−if(AMsymbols[i].tex)

41+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);}

36−texsymbols[texsymbols.length]={input:AMsymbols[i].tex,tag:AMsymbols[i].tag,output:AMsymbols[i].output,ttype:AMsymbols[i].ttype};AMsymbols=AMsymbols.concat(texsymbols);refreshSymbols();}

42+function AMcreateMmlNode(t,frag){if(isIE)var node=document.createElement("m:"+t);else var node=document.createElementNS(AMmathml,t);node.appendChild(frag);return node;}

37−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;}

38−function define(oldstr,newstr){if(oldstr.substr(0,1)=="\\")

39−LMsymbols=LMsymbols.concat([{input:oldstr,tag:"mo",output:newstr,ttype:DEFINITION}]);else

40−AMsymbols=AMsymbols.concat([{input:oldstr,tag:"mo",output:newstr,tex:null,ttype:DEFINITION}]);refreshSymbols();}

43+function newcommand(oldstr,newstr){AMsymbols=AMsymbols.concat([{input:oldstr,tag:"mo",output:newstr,ttype:DEFINITION}]);}

41−function AMremoveCharsAndBlanks(str,n){var st;if(str.charAt(n)=="\\"&&str.charAt(n+1)!="\\"&&str.charAt(n+1)!=" ")

42−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);}

44+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);}

43−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;}

45+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;}

44return h;}else

46return h;}else

45for(var i=n;i<arr.length&&arr[i]<str;i++);return i;}

47for(var i=n;i<arr.length&&arr[i]<str;i++);return i;}

46−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;}

48+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;}

47more=k<AMnames.length&&str.slice(0,AMnames[k].length)>=AMnames[k];}

49more=k<AMnames.length&&str.slice(0,AMnames[k].length)>=AMnames[k];}

48AMpreviousSymbol=AMcurrentSymbol;if(match!=""){AMcurrentSymbol=AMsymbols[mk].ttype;return AMsymbols[mk];}

50AMpreviousSymbol=AMcurrentSymbol;if(match!=""){AMcurrentSymbol=AMsymbols[mk].ttype;return AMsymbols[mk];}

49−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++;}

51+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};}

50−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++;}}}

52+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)

51−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");}

53+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)

52−if(st=="-"&&AMpreviousSymbol==INFIX){AMcurrentSymbol=INFIX;return{input:st,tag:tagst,output:st,ttype:UNARY,func:true};}

53−return{input:st,tag:tagst,output:st,ttype:CONST};}

54−function AMremoveBrackets(node){var st;if(node.nodeName=="mrow"){st=node.firstChild.firstChild.nodeValue;if(st=="("||st=="["||st=="{")node.removeChild(node.firstChild);}

55−if(node.nodeName=="mrow"){st=node.lastChild.firstChild.nodeValue;if(st==")"||st=="]"||st=="}")node.removeChild(node.lastChild);}}

56−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];}

57−if(symbol.ttype==DEFINITION){str=symbol.output+AMremoveCharsAndBlanks(str,symbol.input.length);symbol=AMgetSymbol(str);}

58−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)

59−node=createMmlNode("mrow",result[0]);else{node=createMmlNode("mo",document.createTextNode(symbol.output));node=createMmlNode("mrow",node);node.appendChild(result[0]);}

60−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);}

61−newFrag.appendChild(createMmlNode(symbol.tag,document.createTextNode(st)));if(st.charAt(st.length-1)==" "){node=createMmlNode("mspace");node.setAttribute("width","1ex");newFrag.appendChild(node);}

62−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]];}}

63−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++)

64−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++)

65−if(st.charCodeAt(j)>64&&st.charCodeAt(j)<91)newst=newst+

66−String.fromCharCode(symbol.codes[st.charCodeAt(j)-65]);else newst=newst+st.charAt(j);if(result[0].nodeName=="mi")

67−result[0]=createMmlNode("mo").appendChild(document.createTextNode(newst));else result[0].replaceChild(createMmlNode("mo").appendChild(document.createTextNode(newst)),result[0].childNodes[i]);}}

68−node=createMmlNode(symbol.tag,result[0]);node.setAttribute(symbol.atname,symbol.atval);return[node,result[1]];}

69−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")

70−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)

71−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];}

72−default:str=AMremoveCharsAndBlanks(str,symbol.input.length);return[createMmlNode(symbol.tag,document.createTextNode(symbol.output)),str];}}

73−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)

74−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]);}}

75−return[node,str];}

76−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)

77−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);}

78−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)

79−for(var j=0;j<node.childNodes.length;j++)

80−if(node.childNodes[j].firstChild.nodeValue==",")

81−pos[i][pos[i].length]=j;if(matrix&&i>1)matrix=pos[i].length==pos[i-2].length;}

82−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);}

83−row.appendChild(createMmlNode("mtd",frag));if(newFrag.childNodes.length>2){newFrag.removeChild(newFrag.firstChild);newFrag.removeChild(newFrag.firstChild);}

84−table.appendChild(createMmlNode("mtr",row));}

85−node=createMmlNode("mtable",table);if(typeof symbol.invisible=="boolean"&&symbol.invisible)node.setAttribute("columnalign","left");newFrag.replaceChild(node,newFrag.firstChild);}}}}

86−str=AMremoveCharsAndBlanks(str,symbol.input.length);if(typeof symbol.invisible!="boolean"||!symbol.invisible){node=createMmlNode("mo",document.createTextNode(symbol.output));newFrag.appendChild(node);}}

87−return[newFrag,str];}

88−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)

89−node.setAttribute("title",str.replace(/\s+/g," "));return node;}

90−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])));}}

91−expr=!expr;}

92−return newFrag;}

93−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++)

94−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`");}

95−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;}

96−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++)

97−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)

98−for(i=0;i<arr.length;i++)

99−if(i%2==0)arr[i]=AMautomathrec(arr[i]);str=arr.join(AMdelimiter1);arr=str.split(AMdelimiter1);for(i=0;i<arr.length;i++)

100−arr[i]=arr[i].replace(/AMescape1/g,AMdelimiter1);}

101−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++)

102−i+=processNodeR(n.childNodes[i],linebreaks,latex);}

103−return 0;}

104−function AMprocessNode(n,linebreaks,spanclassAM){var frag,st;if(spanclassAM!=null){frag=document.getElementsByTagName("span")

105−for(var i=0;i<frag.length;i++)

106−if(frag[i].className=="AM")

107−processNodeR(frag[i],linebreaks,false);}else{try{st=n.innerHTML;}catch(err){}

108−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);}}}

109−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",ou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Y},{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);}

110−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;}

111−more=k<LMnames.length&&str.slice(0,LMnames[k].length)>=LMnames[k];}

112−LMpreviousSymbol=LMcurrentSymbol;if(match!=""){LMcurrentSymbol=LMsymbols[mk].ttype;return LMsymbols[mk];}

113−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};}

114−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)

115−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)

116return[null,str,null];}

54return[null,str,null];}

117−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);}}

55+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);}}

118−return[createMmlNode(symbol.tag,document.createTextNode(symbol.output)),str,symbol.tag];case CONST:var output=symbol.output;if(isIE){if(symbol.input=="'")

56+return[AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)),str,symbol.tag];case CONST:var output=symbol.output;if(isIE){if(symbol.input=="'")

119output="\u2032";else if(symbol.input=="''")

57output="\u2032";else if(symbol.input=="''")

120output="\u2033";else if(symbol.input=="'''")

58output="\u2033";else if(symbol.input=="'''")

121output="\u2033\u2032";else if(symbol.input=="''''")

59output="\u2033\u2032";else if(symbol.input=="''''")

122output="\u2033\u2033";else if(symbol.input=="\\square")

60output="\u2033\u2033";else if(symbol.input=="\\square")

123output="\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];}}}

61output="\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];}}}

124−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")

62+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")

125−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");}

63+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");}

126node.setAttribute("maxsize",symbol.atval);if(symbol.rtag!=null)

64node.setAttribute("maxsize",symbol.atval);if(symbol.rtag!=null)

127return[node,str,symbol.rtag];else

65return[node,str,symbol.rtag];else

128return[node,str,symbol.tag];case BIG:var atval=symbol.atval;if(isIE)

66return[node,str,symbol.tag];case BIG:var atval=symbol.atval;if(isIE)

129−atval=symbol.ieval;symbol=LMgetSymbol(str);if(symbol==null)

67+atval=symbol.ieval;symbol=AMgetSymbol(str);if(symbol==null)

130−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);}

68+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);}

131−return[node,str,symbol.tag];case LEFTBRACKET:if(symbol.input=="\\left"){symbol=LMgetSymbol(str);if(symbol!=null){if(symbol.input==".")

69+return[node,str,symbol.tag];case LEFTBRACKET:if(symbol.input=="\\left"){symbol=AMgetSymbol(str);if(symbol!=null){if(symbol.input==".")

132−symbol.invisible=true;str=LMremoveCharsAndBlanks(str,symbol.input.length);}}

70+symbol.invisible=true;str=AMremoveCharsAndBlanks(str,symbol.input.length);}}

133−result=LMparseExpr(str,true,false);if(symbol==null||(typeof symbol.invisible=="boolean"&&symbol.invisible))

71+result=AMparseExpr(str,true,false);if(symbol==null||(typeof symbol.invisible=="boolean"&&symbol.invisible))

134−node=createMmlNode("mrow",result[0]);else{node=createMmlNode("mo",document.createTextNode(symbol.output));node=createMmlNode("mrow",node);node.appendChild(result[0]);}

72+node=AMcreateMmlNode("mrow",result[0]);else{node=AMcreateMmlNode("mo",document.createTextNode(symbol.output));node=AMcreateMmlNode("mrow",node);node.appendChild(result[0]);}

135−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)

73+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)

136−mask="l";else{str=LMremoveCharsAndBlanks(str,symbol.input.length);if(symbol.input!="{")

74+mask="l";else{str=AMremoveCharsAndBlanks(str,symbol.input.length);if(symbol.input!="{")

137−mask="l";else do{symbol=LMgetSymbol(str);if(symbol!=null){str=LMremoveCharsAndBlanks(str,symbol.input.length);if(symbol.input!="}")

75+mask="l";else do{symbol=AMgetSymbol(str);if(symbol!=null){str=AMremoveCharsAndBlanks(str,symbol.input.length);if(symbol.input!="}")

138mask=mask+symbol.input;}}while(symbol!=null&&symbol.input!=""&&symbol.input!="}");}

76mask=mask+symbol.input;}}while(symbol!=null&&symbol.input!=""&&symbol.input!="}");}

139−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)

77+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)

140−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)

78+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)

141node.setAttribute("columnspacing","0.25em");else

79node.setAttribute("columnspacing","0.25em");else

142−node.setAttribute("columnspacing","0.167em");node.setAttribute("columnalign","right center left");node.setAttribute("displaystyle","true");node=createMmlNode("mrow",node);return[node,result[1],null];}

80+node.setAttribute("columnspacing","0.167em");node.setAttribute("columnalign","right center left");node.setAttribute("displaystyle","true");node=AMcreateMmlNode("mrow",node);return[node,result[1],null];}

143case TEXT:if(str.charAt(0)=="{")i=str.indexOf("}");else i=0;if(i==-1)

81case TEXT:if(str.charAt(0)=="{")i=str.indexOf("}");else i=0;if(i==-1)

144−i=str.length;st=str.slice(1,i);if(st.charAt(0)==" "){node=createMmlNode("mspace");node.setAttribute("width","0.33em");newFrag.appendChild(node);}

82+i=str.length;st=str.slice(1,i);if(st.charAt(0)==" "){node=AMcreateElementMathML("mspace");node.setAttribute("width","0.33em");newFrag.appendChild(node);}

145−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);}

83+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);}

146−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);}

84+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);}

147node.appendChild(result[0]);return[node,result[1],symbol.tag];}}

85node.appendChild(result[0]);return[node,result[1],symbol.tag];}}

148−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])

86+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])

149node.appendChild(space);return[node,result[1],symbol.tag];}else

87node.appendChild(space);return[node,result[1],symbol.tag];}else

150−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")

88+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")

151output="\u0302";else if(symbol.input=="\\widehat")

89output="\u0302";else if(symbol.input=="\\widehat")

152output="\u005E";else if(symbol.input=="\\bar")

90output="\u005E";else if(symbol.input=="\\bar")

153output="\u00AF";else if(symbol.input=="\\grave")

91output="\u00AF";else if(symbol.input=="\\grave")

154output="\u0300";else if(symbol.input=="\\tilde")

92output="\u0300";else if(symbol.input=="\\tilde")

155output="\u0303";}

93output="\u0303";}

156−var node1=createMmlNode("mo",document.createTextNode(output));if(symbol.input=="\\vec"||symbol.input=="\\check")

94+var node1=AMcreateMmlNode("mo",document.createTextNode(output));if(symbol.input=="\\vec"||symbol.input=="\\check")

157node1.setAttribute("maxsize","1.2");if(isIE&&symbol.input=="\\bar")

95node1.setAttribute("maxsize","1.2");if(isIE&&symbol.input=="\\bar")

158node1.setAttribute("maxsize","0.5");if(symbol.input=="\\underbrace"||symbol.input=="\\underline")

96node1.setAttribute("maxsize","0.5");if(symbol.input=="\\underbrace"||symbol.input=="\\underline")

159node1.setAttribute("accentunder","true");else

97node1.setAttribute("accentunder","true");else

@@ -162,218 +100,111 @@ node.ttype=UNDEROVER;return[node,result[1],symbol.tag];}else{if(!isIE&&typeof sy

162if(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++)

100if(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++)

163if(st.charCodeAt(j)>64&&st.charCodeAt(j)<91)newst=newst+

101if(st.charCodeAt(j)>64&&st.charCodeAt(j)<91)newst=newst+

164String.fromCharCode(symbol.codes[st.charCodeAt(j)-65]);else newst=newst+st.charAt(j);if(result[0].nodeName=="mi")

102String.fromCharCode(symbol.codes[st.charCodeAt(j)-65]);else newst=newst+st.charAt(j);if(result[0].nodeName=="mi")

165−result[0]=createMmlNode("mo").appendChild(document.createTextNode(newst));else result[0].replaceChild(createMmlNode("mo").appendChild(document.createTextNode(newst)),result[0].childNodes[i]);}}

103+result[0]=AMcreateElementMathML("mo").appendChild(document.createTextNode(newst));else result[0].replaceChild(AMcreateElementMathML("mo").appendChild(document.createTextNode(newst)),result[0].childNodes[i]);}}

166−node=createMmlNode(symbol.tag,result[0]);node.setAttribute(symbol.atname,symbol.atval);if(symbol.input=="\\scriptstyle"||symbol.input=="\\scriptscriptstyle")

104+node=AMcreateMmlNode(symbol.tag,result[0]);node.setAttribute(symbol.atname,symbol.atval);if(symbol.input=="\\scriptstyle"||symbol.input=="\\scriptscriptstyle")

167node.setAttribute("displaystyle","false");return[node,result[1],symbol.tag];}

105node.setAttribute("displaystyle","false");return[node,result[1],symbol.tag];}

168−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")

106+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];}

107+node=AMcreateElementMathML("mstyle");node.setAttribute(symbol.atval,tclr);node.appendChild(result2[0]);return[node,result2[1],symbol.tag];}}

169−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];}}

108+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];}}

170−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)

109+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)

171−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]);}

110+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]);}

172−node=createMmlNode("mrow",node);}else{node=createMmlNode(symbol.tag,node);if(symbol.input=="\\atop"||symbol.input=="\\choose")

111+node=AMcreateMmlNode("mrow",node);}else{node=AMcreateMmlNode(symbol.tag,node);if(symbol.input=="\\atop"||symbol.input=="\\choose")

173node.setAttribute("linethickness","0ex");node.appendChild(result[0]);if(symbol.input=="\\choose")

112node.setAttribute("linethickness","0ex");node.appendChild(result[0]);if(symbol.input=="\\choose")

174−node=createMmlNode("mfenced",node);}}

113+node=AMcreateMmlNode("mfenced",node);}}

175return[node,str,tag];}

114return[node,str,tag];}

176−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);}

115+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);}

177−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==".")

116+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==".")

178symbol.invisible=true;if(symbol!=null)

117symbol.invisible=true;if(symbol!=null)

179tag=symbol.rtag;}

118tag=symbol.rtag;}

180if(symbol!=null)

119if(symbol!=null)

181−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++)

120+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++)

182if(node.childNodes[j].firstChild.nodeValue=="&")

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218−alert(msg);else return msg;}}

157+DEQtbody.appendChild(DEQtr);DEQtable.appendChild(DEQtbody);newFrag.appendChild(DEQtable);}

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220−if(node.childNodes.length!=0)node.childNodes[0].nodeValue=st;else node.appendChild(document.createTextNode(st));}

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226−ht=picture.getAttribute("height");if(isIE){picture.setAttribute("wmode","transparent");}

165+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];}

227−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);}

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228−if(ht==null)ht="";if(ht==""||src=="")

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172+TABtbody.appendChild(TABrow);}

234−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];}

173+nodeTmp.appendChild(TABtbody);}

235−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)}

174+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);}

236−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);}

175+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+"]"));}

237−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);}

176+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);}

238−var sinceFirstClick=0;var dblClkTimer;function timer(){if(sinceFirstClick<60){sinceFirstClick++;setTimeout("timer()",10);}else{clearTimeout(dblClkTimer);dblClkTimer="";}}

177+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);}}

239−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);}}

178+if(strtmparray[0]=="endenumerate"||strtmparray[0]=="enditemize"||strtmparray[0]=="enddescription"){var endDiv=document.createElement("div");endDiv.className="endlistitem";newFrag.appendChild(endDiv);}

240−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");}

179+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\\]|");}}

241−function showcode(){}

180+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;}}

242−function setBorder(x){border=x}

181+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;}

243−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)

182+if(TagIndex<strtmptmp[jjj].length){tmpIndex=strtmptmp[jjj].substring(TagIndex,strtmptmp[jjj].length).search(/\\\w+/);}

244−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))

183+else{tmpIndex=-1};TagIndex+=tmpIndex;}

245−alert("initPicture(xmin,xmax,ymin,ymax) requires numbers ymin < ymax");else{if(width==null){width=picture.getAttribute("width");if(width==null||width=="")width=defaultwidth;}

184+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]))

246−picture.setAttribute("width",width);if(height==null){height=picture.getAttribute("height");if(height==null||height=="")height=defaultheight;}

185+newFrag.appendChild(nodeTmp);}}else{newFrag.appendChild(document.createTextNode(strlbls[jj]));}}}}}}}};TheBody.parentNode.replaceChild(newFrag,TheBody);}}}

247−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];}

186+return TheBody;}

248−if(isIE){if(picture.FULLSCREEN==undefined){setTimeout('drawPictures()',50);throw"wait";}

187+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;}}

249−svgpicture=picture.getSVGDocument().getElementById("root");if(svgpicture==null){setTimeout('drawPictures()',50);throw"wait";}

188+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=""}

250−svgpicture=picture.getSVGDocument().getElementById("root");while(svgpicture.childNodes.length>0)

189+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);}}

251−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);}

190+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;}}}

252−svgpicture=qnode;doc=document;}

191+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");}

253−var nd=document.getElementById(picture.getAttribute("id")+"mml");if(nd!=null)

192+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);}

254−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;}}}

193+if(DIV2LI.firstChild.className=="listitemmarker"){DIV2LI.style.listStyleType="none";}

255−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);}

194+RootNode.appendChild(DIV2LI)}

256−node.setAttribute("d","M"+(p[0]*xunitlength+origin[0])+","+

195+AllDivs[i].removeChild(AllDivs[i].firstChild);}

257−(height-p[1]*yunitlength-origin[1])+" "+

196+AllDivs[i].appendChild(RootNode);}}

258−(q[0]*xunitlength+origin[0])+","+(height-q[1]*yunitlength-origin[1]));node.setAttribute("stroke-width",strokewidth);if(strokedasharray!=null)

197+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"

259−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");}}

198+refNode.className=AllAnchors[i].className;AllAnchors[i].appendChild(refNode);}}}}}

260−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);}

199+return TheBody;}

261−if(typeof plist=="string")st=plist;else{st="M";st+=(plist[0][0]*xunitlength+origin[0])+","+

200+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");}

262−(height-plist[0][1]*yunitlength-origin[1])+" "+c;for(i=1;i<plist.length;i++)

201+if(AMbody.tagName=="PRE"){var PreChilds=document.createDocumentFragment();var DivChilds=document.createElement("DIV");while(AMbody.hasChildNodes()){DivChilds.appendChild(AMbody.firstChild);}

263−st+=(plist[i][0]*xunitlength+origin[0])+","+

202+PreChilds.appendChild(DivChilds);AMbody.parentNode.replaceChild(PreChilds,AMbody);AMbody=DivChilds;}

264−(height-plist[i][1]*yunitlength-origin[1])+" ";}

203+AMprocessNode(AMbody,false,spanclassAM);}}else{AMbody=document.getElementsByTagName("body")[0];try{AMbody=LaTeXDivsAndRefs(LaTeXpreProcess(AMbody));}catch(err){alert("Unknown Error: Defaulting to Original LaTeXMathML");}

265−node.setAttribute("d",st);node.setAttribute("stroke-width",strokewidth);if(strokedasharray!=null)

204+AMprocessNode(AMbody,false,spanclassAM);}}}

266−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")

205+if(isIE){document.write("<object id=\"mathplayer\" classid=\"clsid:32F66A20-7614-11D4-BD11-00104BD3F987\"></object>");document.write("<?import namespace=\"m\" implementation=\"#mathplayer\"?>");}

267−for(i=0;i<plist.length;i++)

206+function generic()

268−if(c!="C"&&c!="T"||i!=1&&i!=2)

207+{translate();};if(typeof window.addEventListener!='undefined')

269−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");}}

270−function curve(plist,id,endpts){path(plist,id,"T",endpts);}

271−function vector(p,q,id){line(p,q,id,"","->");}

272−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);}

273−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);}

274−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")

275−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);}

276−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]);}

277−if(node==null){node=myCreateElementSVG("path");node.setAttribute("id",id);svgpicture.appendChild(node);}

278−node.setAttribute("d","M"+(start[0]*xunitlength+origin[0])+","+

279−(height-start[1]*yunitlength-origin[1])+" A"+radius*xunitlength+","+

280−radius*yunitlength+" 0 "+largearc+",0 "+(end[0]*xunitlength+origin[0])+","+

281−(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);}

282−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");}

283−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);}

284−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);}

285−function triangle(p,q,r,id){path([p,q,r,p],id)}

286−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);}

287−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);}

288−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);}

289−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;}

290−node.style.left=""+(p[0]*xunitlength+origin[0]+dx)+"px";node.style.top=""+(height-p[1]*yunitlength-origin[1]+dy)+"px";}

291−return p;}

292−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;}

293−if(/left/.test(pos)){textanchor="end";dx=-fontsize/4;}}

294−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));}

295−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;}

296−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;}

297−if(pos.slice(0,4)=="left"||pos.slice(5,9)=="left"){textanchor="end";dx=-fontsize/2;}}

298−var node=this;if(this.nodeName=="svg"){node=myCreateElementSVG("text");this.appendChild(node);node.appendChild(doc.createTextNode(st));}

299−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);}

300−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);}

301−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);}

302−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);}

303−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);}

304−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);}

305−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)));}

306−if(label!=null)

307−text(center,label,(pos==null?"below":pos),(id==null?id:id+"label"))}

308−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])+" "+

309−(w[1]-15*u[1]-4*up[1])+" L "+(w[0]-3*u[0])+" "+(w[1]-3*u[1])+" L "+

310−(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);}}

311−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);}

312−function grid(dx,dy){axes(dx,dy,null,dx,dy)}

313−function noaxes(){if(!initialized)initPicture();}

314−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;}

315−if(typeof dy=="string"){gdx=dy;dy=null;}

316−if(xscl!=null){dx=xscl;gdx=xscl;labels=dx}

317−if(yscl!=null){dy=yscl;gdy=yscl}

318−if(xtick!=null){dx=xtick}

319−if(ytick!=null){dy=ytick}

320−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)

321−st+=" M"+x+",0"+" "+x+","+height;for(x=origin[0]-gdx;x>0;x=x-gdx)

322−st+=" M"+x+",0"+" "+x+","+height;for(y=height-origin[1];y<height;y=y+gdy)

323−st+=" M0,"+y+" "+width+","+y;for(y=height-origin[1]-gdy;y>0;y=y-gdy)

324−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);}

325−pnode=myCreateElementSVG("path");st="M0,"+(height-origin[1])+" "+width+","+

326−(height-origin[1])+" M"+origin[0]+",0 "+origin[0]+","+height;for(x=origin[0]+dx;x<width;x=x+dx)

327−st+=" M"+x+","+(height-origin[1]+ticklength)+" "+x+","+

328−(height-origin[1]-ticklength);for(x=origin[0]-dx;x>0;x=x-dx)

329−st+=" M"+x+","+(height-origin[1]+ticklength)+" "+x+","+

330−(height-origin[1]-ticklength);for(y=height-origin[1]+dy;y<height;y=y+dy)

331−st+=" M"+(origin[0]+ticklength)+","+y+" "+(origin[0]-ticklength)+","+y;for(y=height-origin[1]-dy;y>0;y=y-dy)

332−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)

333−text([x,ly],chopZ(x.toFixed(ddx)),lxp);for(x=-ldx;xmin<=x;x=x-ldx)

334−text([x,ly],chopZ(x.toFixed(ddx)),lxp);for(y=ldy;y<=ymax;y=y+ldy)

335−text([lx,y],chopZ(y.toFixed(ddy)),lyp);for(y=-ldy;ymin<=y;y=y-ldy)

336−text([lx,y],chopZ(y.toFixed(ddy)),lyp);}

337−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);}

338−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");}

339−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--;}

340−while(j>=0&&(ch=st.charAt(j))>="a"&&ch<="z"||ch>="A"&&ch<="Z")

341−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")

342−j--;}else{return"Error: incorrect syntax in "+st+" at position "+j;}

343−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;}

344−st=st.slice(0,j+1)+"Math.pow("+st.slice(j+1,i)+","+st.slice(i+1,k)+")"+

345−st.slice(k);}

346−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--;}

347−while(j>=0&&(ch=st.charAt(j))>="a"&&ch<="z"||ch>="A"&&ch<="Z")

348−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")

349−j--;}else{return"Error: incorrect syntax in "+st+" at position "+j;}

350−st=st.slice(0,j+1)+"factorial("+st.slice(j+1,i)+")"+st.slice(i+1);}

351−return st;}

352−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")

353−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])+" }");}

354−if(typeof x_min=="string"){name=x_min;x_min=xmin}

355−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];}

356−path(pth,name,null,endpts);return pth;}

357−function slopefield(fun,dx,dy){var g=fun;if(typeof fun=="string")

358−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)

359−for(y=y_min;y<=ymax;y+=dy){gxy=g(x,y);if(!isNaN(gxy)){if(Math.abs(gxy)=="Infinity"){u=0;v=dz;}

360−else{u=dz/Math.sqrt(1+gxy*gxy);v=gxy*u;}

361−line([x-u,y-v],[x+u,y+v]);}}}

362−function show_props(obj){var result="";for(var i=0;i<obj.childNodes.length;i++)

363−result+=obj.childNodes.item(i)+"\n";return result;}

364−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");}}

365−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","");}

366−function initASCIIMathCalculators(li){var i;for(i=0;i<li.length;i++){li[i].innerHTML=calcstr;AMprocessNode(li[i]);}

367−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/,""));}}

368−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";}

369−if(!isNaN(res)&&res!="Infinity")

370−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++)

371−outnode.removeChild(outnode.firstChild);outnode.appendChild(document.createTextNode(str));AMprocessNode(outnode);}

372−function append(st){document.getElementById('in').value+=st;calculate('in','out');document.getElementById('in').scrollTop=1000;document.getElementById('in').focus();}

373−function clearTextArea(){document.getElementById('in').value="";calculate('in','out');document.getElementById('in').focus();}

374−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> </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()

375−{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();}

376−var li=getElementsByClass(document,"div","ASCIIMathCalculator");if(!noMathML&&li.length>0)initASCIIMathCalculators(li);}};if(typeof window.addEventListener!='undefined')

377{window.addEventListener('load',generic,false);}

208{window.addEventListener('load',generic,false);}

378else if(typeof document.addEventListener!='undefined')

209else if(typeof document.addEventListener!='undefined')

379{document.addEventListener('load',generic,false);}

210{document.addEventListener('load',generic,false);}

@@ -384,8 +215,7 @@ else

384{var existing=onload;window.onload=function()

215{var existing=onload;window.onload=function()

385{existing();generic();};}

216{existing();generic();};}

386else

217else

387−{window.onload=generic;}}

218+{window.onload=generic;}}</script>

388−</script>

389

219

390<meta name="defaultView" content="slideshow" />

220<meta name="defaultView" content="slideshow" />

391<meta name="controlVis" content="hidden" />

221<meta name="controlVis" content="hidden" />

tests/s5.native+1−1

@@ -5,5 +5,5 @@ Pandoc (Meta [Str "My",Space,Str "S5",Space,Str "Document"] ["Sam Smith","Jen Jo

5 , [ Plain [Str "second",Space,Str "bullet"] ] ]

6, Header 1 [Str "Math"]

7, BulletList

8− [ [ Plain [Math "\\frac{d}{dx}f(x)=\\lim_{h\\to 0}\\frac{f(x+h)-f(x)}{h}"] ]

8+ [ [ Plain [Math InlineMath "\\frac{d}{dx}f(x)=\\lim_{h\\to 0}\\frac{f(x+h)-f(x)}{h}"] ]

9 ] ]

tests/testsuite.native+7−8

@@ -282,14 +282,13 @@ Pandoc (Meta [Str "Pandoc",Space,Str "Test",Space,Str "Suite"] ["John MacFarlane

282, Header 1 [Str "LaTeX"]

283, BulletList

284 [ [ Plain [TeX "\\cite[22-23]{smith.1899}"] ]

285− , [ Plain [TeX "\\doublespacing"] ]

285+ , [ Plain [Math InlineMath "2+2=4"] ]

286− , [ Plain [Math "2+2=4"] ]

287− , [ Plain [Math "x \\in y"] ]

286+ , [ Plain [Math InlineMath "x \\in y"] ]

288− , [ Plain [Math "\\alpha \\wedge \\omega"] ]

287+ , [ Plain [Math InlineMath "\\alpha \\wedge \\omega"] ]

289− , [ Plain [Math "223"] ]

288+ , [ Plain [Math InlineMath "223"] ]

290− , [ Plain [Math "p",Str "-",Str "Tree"] ]

289+ , [ Plain [Math InlineMath "p",Str "-",Str "Tree"] ]

291− , [ Plain [Math "\\frac{d}{dx}f(x)=\\lim_{h\\to 0}\\frac{f(x+h)-f(x)}{h}"] ]

290+ , [ 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}"] ]

292− , [ 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 "."] ] ]

291+ , [ 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 "."] ] ]

293, Para [Str "These",Space,Str "shouldn",Apostrophe,Str "t",Space,Str "be",Space,Str "math:"]

292, Para [Str "These",Space,Str "shouldn",Apostrophe,Str "t",Space,Str "be",Space,Str "math:"]

294, BulletList

293, BulletList

295 [ [ Plain [Str "To",Space,Str "get",Space,Str "the",Space,Str "famous",Space,Str "equation,",Space,Str "write",Space,Code "$e = mc^2$",Str "."] ]

294 [ [ Plain [Str "To",Space,Str "get",Space,Str "the",Space,Str "famous",Space,Str "equation,",Space,Str "write",Space,Code "$e = mc^2$",Str "."] ]

tests/testsuite.txt+2−2

@@ -467,13 +467,13 @@ Ellipses...and. . .and . . . .

467# LaTeX

468

469- \cite[22-23]{smith.1899}

470−- \doublespacing

471- $2+2=4$

470- $2+2=4$

472- $x \in y$

471- $x \in y$

473- $\alpha \wedge \omega$

472- $\alpha \wedge \omega$

474- $223$

473- $223$

475- $p$-Tree

474- $p$-Tree

475+- Here's some display math:

476−- $\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$

476+ $$\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$$

477- Here's one that has a line break in it: $\alpha + \omega \times

478x^2$.

479

tests/writer.context+2−3

@@ -629,8 +629,6 @@ Ellipses\ldots{}and\ldots{}and\ldots{}.

629\startitemize

630\item

631 \cite[22-23]{smith.1899}

632−\item

633− \doublespacing

634\item

632\item

635 $2+2=4$

633 $2+2=4$

636\item

634\item

@@ -642,7 +640,8 @@ Ellipses\ldots{}and\ldots{}and\ldots{}.

642\item

640\item

643 $p$-Tree

641 $p$-Tree

644\item

642\item

643+ Here's some display math:

645− $\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$

644+ \startformula \frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h} \stopformula

646\item

645\item

647 Here's one that has a line break in it:

646 Here's one that has a line break in it:

648 $\alpha + \omega \times x^2$.

647 $\alpha + \omega \times x^2$.

tests/writer.docbook+1−4

@@ -975,10 +975,6 @@ Blah

975 <para>

976 </para>

977 </listitem>

978− <listitem>

979− <para>

980− </para>

981− </listitem>

982 <listitem>

978 <listitem>

983 <para>

979 <para>

984 2+2=4

980 2+2=4

@@ -1006,6 +1002,7 @@ Blah

1006 </listitem>

1002 </listitem>

1007 <listitem>

1003 <listitem>

1008 <para>

1004 <para>

1005+ Here's some display math:

1009 \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>}

1006 \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>}

1010 </para>

1007 </para>

1011 </listitem>

1008 </listitem>

tests/writer.html+1−3

@@ -718,8 +718,6 @@ Blah

718 >LaTeX</h1

719 ><ul

720 ><li

721− ></li

722− ><li

723 ></li

721 ></li

724 ><li

722 ><li

725 ><span class="math"

723 ><span class="math"

@@ -748,7 +746,7 @@ Blah

748 ></span

746 ></span

749 >-Tree</li

747 >-Tree</li

750 ><li

748 ><li

751− ><span class="math"

749+ >Here’s some display math: <span class="math"

752 >\frac{<em

750 >\frac{<em

753 >d</em

751 >d</em

754 >}{<em

752 >}{<em

tests/writer.latex+2−3

@@ -564,8 +564,6 @@ Ellipses\ldots{}and\ldots{}and\ldots{}.

564\begin{itemize}

565\item

566 \cite[22-23]{smith.1899}

567−\item

568− \doublespacing

569\item

567\item

570 $2+2=4$

568 $2+2=4$

571\item

569\item

@@ -577,7 +575,8 @@ Ellipses\ldots{}and\ldots{}and\ldots{}.

577\item

575\item

578 $p$-Tree

576 $p$-Tree

579\item

577\item

578+ Here's some display math:

580− $\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$

579+ \[\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}\]

581\item

580\item

582 Here's one that has a line break in it:

581 Here's one that has a line break in it:

583 $\alpha + \omega \times x^2$.

582 $\alpha + \omega \times x^2$.

tests/writer.man+3−1

@@ -547,7 +547,6 @@ Ellipses\&...and\&...and\&...\.

547.SH LaTeX

548.IP \[bu] 2

549.IP \[bu] 2

550−.IP \[bu] 2

551\f[B]2+2=4\f[]

550\f[B]2+2=4\f[]

552.IP \[bu] 2

551.IP \[bu] 2

553\f[B]x\ \\in\ y\f[]

552\f[B]x\ \\in\ y\f[]

@@ -558,7 +557,10 @@ Ellipses\&...and\&...and\&...\.

558.IP \[bu] 2

557.IP \[bu] 2

559\f[B]p\f[]-Tree

558\f[B]p\f[]-Tree

560.IP \[bu] 2

559.IP \[bu] 2

560+Here's some display math:

561+.RS

561\f[B]\\frac{d}{dx}f(x)=\\lim_{h\\to\ 0}\\frac{f(x+h)-f(x)}{h}\f[]

562\f[B]\\frac{d}{dx}f(x)=\\lim_{h\\to\ 0}\\frac{f(x+h)-f(x)}{h}\f[]

563+.RE

562.IP \[bu] 2

564.IP \[bu] 2

563Here's one that has a line break in it:

565Here's one that has a line break in it:

564\f[B]\\alpha\ +\ \\omega\ \\times\ x^2\f[]\.

566\f[B]\\alpha\ +\ \\omega\ \\times\ x^2\f[]\.

tests/writer.markdown+2−2

@@ -492,13 +492,13 @@ Ellipses...and...and....

492# LaTeX

493

494- \cite[22-23]{smith.1899}

495−- \doublespacing

496- $2+2=4$

495- $2+2=4$

497- $x \in y$

496- $x \in y$

498- $\alpha \wedge \omega$

497- $\alpha \wedge \omega$

499- $223$

498- $223$

500- $p$-Tree

499- $p$-Tree

500+- Here's some display math:

501−- $\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$

501+ $$\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$$

502- Here's one that has a line break in it:

503 $\alpha + \omega \times x^2$.

504

tests/writer.mediawiki+1−2

@@ -422,14 +422,13 @@ Ellipses…and…and….

422

423== LaTeX ==

424

425−*

426*

425*

427* <math>2+2=4</math>

426* <math>2+2=4</math>

428* <math>x \in y</math>

427* <math>x \in y</math>

429* <math>\alpha \wedge \omega</math>

428* <math>\alpha \wedge \omega</math>

430* <math>223</math>

429* <math>223</math>

431* <math>p</math>-Tree

430* <math>p</math>-Tree

432−* <math>\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}</math>

431+* Here’s some display math: <math>\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}</math>

433* Here’s one that has a line break in it: <math>\alpha + \omega \times x^2</math>.

432* Here’s one that has a line break in it: <math>\alpha + \omega \times x^2</math>.

434These shouldn’t be math:

433These shouldn’t be math:

435

434

tests/writer.native+7−8

@@ -282,14 +282,13 @@ Pandoc (Meta [Str "Pandoc",Space,Str "Test",Space,Str "Suite"] ["John MacFarlane

282, Header 1 [Str "LaTeX"]

283, BulletList

284 [ [ Plain [TeX "\\cite[22-23]{smith.1899}"] ]

285− , [ Plain [TeX "\\doublespacing"] ]

285+ , [ Plain [Math InlineMath "2+2=4"] ]

286− , [ Plain [Math "2+2=4"] ]

287− , [ Plain [Math "x \\in y"] ]

286+ , [ Plain [Math InlineMath "x \\in y"] ]

288− , [ Plain [Math "\\alpha \\wedge \\omega"] ]

287+ , [ Plain [Math InlineMath "\\alpha \\wedge \\omega"] ]

289− , [ Plain [Math "223"] ]

288+ , [ Plain [Math InlineMath "223"] ]

290− , [ Plain [Math "p",Str "-",Str "Tree"] ]

289+ , [ Plain [Math InlineMath "p",Str "-",Str "Tree"] ]

291− , [ Plain [Math "\\frac{d}{dx}f(x)=\\lim_{h\\to 0}\\frac{f(x+h)-f(x)}{h}"] ]

290+ , [ 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}"] ]

293, Para [Str "These",Space,Str "shouldn",Apostrophe,Str "t",Space,Str "be",Space,Str "math:"]

292, Para [Str "These",Space,Str "shouldn",Apostrophe,Str "t",Space,Str "be",Space,Str "math:"]

294, BulletList

293, BulletList

295 [ [ Plain [Str "To",Space,Str "get",Space,Str "the",Space,Str "famous",Space,Str "equation,",Space,Str "write",Space,Code "$e = mc^2$",Str "."] ]

294 [ [ Plain [Str "To",Space,Str "get",Space,Str "the",Space,Str "famous",Space,Str "equation,",Space,Str "write",Space,Code "$e = mc^2$",Str "."] ]

tests/writer.opendocument+1−4

@@ -1366,9 +1366,6 @@

1366 <text:list-item>

1367 <text:p text:style-name="P50"><text:span text:style-name="Teletype">\cite[22-23]{smith.1899}</text:span></text:p>

1368 </text:list-item>

1369− <text:list-item>

1370− <text:p text:style-name="P50"><text:span text:style-name="Teletype">\doublespacing</text:span></text:p>

1371− </text:list-item>

1372 <text:list-item>

1369 <text:list-item>

1373 <text:p text:style-name="P50">2+2=4</text:p>

1370 <text:p text:style-name="P50">2+2=4</text:p>

1374 </text:list-item>

1371 </text:list-item>

@@ -1385,7 +1382,7 @@

1385 <text:p text:style-name="P50"><text:span text:style-name="T60">p</text:span>-Tree</text:p>

1382 <text:p text:style-name="P50"><text:span text:style-name="T60">p</text:span>-Tree</text:p>

1386 </text:list-item>

1383 </text:list-item>

1387 <text:list-item>

1384 <text:list-item>

1388− <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>

1385+ <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>

1389 </text:list-item>

1386 </text:list-item>

1390 <text:list-item>

1387 <text:list-item>

1391 <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>

1388 <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>

tests/writer.rst+2−2

@@ -621,14 +621,14 @@ LaTeX

621=====

622

623

624−-

625-

624-

626- :math:`$2+2=4$`

625- :math:`$2+2=4$`

627- :math:`$x \in y$`

626- :math:`$x \in y$`

628- :math:`$\alpha \wedge \omega$`

627- :math:`$\alpha \wedge \omega$`

629- :math:`$223$`

628- :math:`$223$`

630- :math:`$p$`-Tree

629- :math:`$p$`-Tree

630+- Here's some display math:

631−- :math:`$\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$`

631+ :math:`$$\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$$`

632- Here's one that has a line break in it:

633 :math:`$\alpha + \omega \times x^2$`.

634

tests/writer.rtf+1−2

@@ -241,13 +241,12 @@ quoted link

241{\pard \qc \f0 \sa180 \li0 \fi0 \emdash\emdash\emdash\emdash\emdash\par}

242{\pard \ql \f0 \sa180 \li0 \fi0 \b \fs36 LaTeX\par}

243{\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab \par}

244−{\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab \par}

245{\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab 2+2=4\par}

244{\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab 2+2=4\par}

246{\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab {\i x}\u8201?\u8712?\u8201?{\i y}\par}

245{\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab {\i x}\u8201?\u8712?\u8201?{\i y}\par}

247{\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab \u945?\u8201?\u8743?\u8201?\u969?\par}

246{\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab \u945?\u8201?\u8743?\u8201?\u969?\par}

248{\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab 223\par}

247{\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab 223\par}

249{\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab {\i p}-Tree\par}

248{\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab {\i p}-Tree\par}

250−{\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}

249+{\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}

251{\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}

250{\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}

252{\pard \ql \f0 \sa180 \li0 \fi0 These shouldn\u8217't be math:\par}

251{\pard \ql \f0 \sa180 \li0 \fi0 These shouldn\u8217't be math:\par}

253{\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab To get the famous equation, write {\f1 $e = mc^2$}.\par}

252{\pard \ql \f0 \sa0 \li360 \fi-360 \bullet \tx360\tab To get the famous equation, write {\f1 $e = mc^2$}.\par}

tests/writer.texinfo+1−5

@@ -709,10 +709,6 @@ Ellipses@dots{}and@dots{}and@dots{}.

709\cite[22-23]{smith.1899}

710@end tex

711@item

712−@tex

713−\doublespacing

714−@end tex

715−@item

716@math{2+2=4}

712@math{2+2=4}

717@item

713@item

718@math{x \in y}

714@math{x \in y}

@@ -723,7 +719,7 @@ Ellipses@dots{}and@dots{}and@dots{}.

723@item

719@item

724@math{p}-Tree

720@math{p}-Tree

725@item

721@item

726−@math{\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}}

722+Here's some display math: @math{\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}}

727@item

723@item

728Here's one that has a line break in it: @math{\alpha + \omega \times x^2}.

724Here's one that has a line break in it: @math{\alpha + \omega \times x^2}.

729@end itemize

725@end itemize

web/index.txt.in−1

@@ -155,7 +155,6 @@ kind.

155

156[More accurate]: http://code.google.com/p/pandoc/wiki/PandocVsMarkdownPl

157[much faster]: http://code.google.com/p/pandoc/wiki/Benchmarks

158−[ASCIIMathML]: http://www1.chapman.edu/~jipsen/mathml/asciimath.html

159

158

160[John MacFarlane]: http://johnmacfarlane.net/

159[John MacFarlane]: http://johnmacfarlane.net/

161[markdown]: http://daringfireball.net/projects/markdown/

160[markdown]: http://daringfireball.net/projects/markdown/