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    <li><a href="./Psych/Nodes/Sequence.html">Psych::Nodes::Sequence</a>
  
    <li><a href="./Psych/Nodes/Stream.html">Psych::Nodes::Stream</a>
  
    <li><a href="./Psych/Omap.html">Psych::Omap</a>
  
    <li><a href="./Psych/Parser.html">Psych::Parser</a>
  
    <li><a href="./Psych/Parser/Mark.html">Psych::Parser::Mark</a>
  
    <li><a href="./Psych/PrivateType.html">Psych::PrivateType</a>
  
    <li><a href="./Psych/ScalarScanner.html">Psych::ScalarScanner</a>
  
    <li><a href="./Psych/Set.html">Psych::Set</a>
  
    <li><a href="./Psych/Stream.html">Psych::Stream</a>
  
    <li><a href="./Psych/Streaming.html">Psych::Streaming</a>
  
    <li><a href="./Psych/SyntaxError.html">Psych::SyntaxError</a>
  
    <li><a href="./Psych/TreeBuilder.html">Psych::TreeBuilder</a>
  
    <li><a href="./Psych/Visitors.html">Psych::Visitors</a>
  
    <li><a href="./Psych/Visitors/DepthFirst.html">Psych::Visitors::DepthFirst</a>
  
    <li><a href="./Psych/Visitors/Emitter.html">Psych::Visitors::Emitter</a>
  
    <li><a href="./Psych/Visitors/JSONTree.html">Psych::Visitors::JSONTree</a>
  
    <li><a href="./Psych/Visitors/ToRuby.html">Psych::Visitors::ToRuby</a>
  
    <li><a href="./Psych/Visitors/Visitor.html">Psych::Visitors::Visitor</a>
  
    <li><a href="./Psych/Visitors/YAMLTree.html">Psych::Visitors::YAMLTree</a>
  
    <li><a href="./Queue.html">Queue</a>
  
    <li><a href="./RDoc.html">RDoc</a>
  
    <li><a href="./RDoc/Alias.html">RDoc::Alias</a>
  
    <li><a href="./RDoc/AnonClass.html">RDoc::AnonClass</a>
  
    <li><a href="./RDoc/AnyMethod.html">RDoc::AnyMethod</a>
  
    <li><a href="./RDoc/Attr.html">RDoc::Attr</a>
  
    <li><a href="./RDoc/ClassModule.html">RDoc::ClassModule</a>
  
    <li><a href="./RDoc/CodeObject.html">RDoc::CodeObject</a>
  
    <li><a href="./RDoc/Comment.html">RDoc::Comment</a>
  
    <li><a href="./RDoc/Constant.html">RDoc::Constant</a>
  
    <li><a href="./RDoc/Context.html">RDoc::Context</a>
  
    <li><a href="./RDoc/Context/Section.html">RDoc::Context::Section</a>
  
    <li><a href="./RDoc/CrossReference.html">RDoc::CrossReference</a>
  
    <li><a href="./RDoc/ERBIO.html">RDoc::ERBIO</a>
  
    <li><a href="./RDoc/ERBPartial.html">RDoc::ERBPartial</a>
  
    <li><a href="./RDoc/Encoding.html">RDoc::Encoding</a>
  
    <li><a href="./RDoc/Extend.html">RDoc::Extend</a>
  
    <li><a href="./RDoc/Generator.html">RDoc::Generator</a>
  
    <li><a href="./RDoc/Generator/Darkfish.html">RDoc::Generator::Darkfish</a>
  
    <li><a href="./RDoc/Generator/JsonIndex.html">RDoc::Generator::JsonIndex</a>
  
    <li><a href="./RDoc/Generator/Markup.html">RDoc::Generator::Markup</a>
  
    <li><a href="./RDoc/Generator/RI.html">RDoc::Generator::RI</a>
  
    <li><a href="./RDoc/GhostMethod.html">RDoc::GhostMethod</a>
  
    <li><a href="./RDoc/Include.html">RDoc::Include</a>
  
    <li><a href="./RDoc/Markdown.html">RDoc::Markdown</a>
  
    <li><a href="./RDoc/Markdown/Literals.html">RDoc::Markdown::Literals</a>
  
    <li><a href="./RDoc/Markup.html">RDoc::Markup</a>
  
    <li><a href="./RDoc/Markup/AttrChanger.html">RDoc::Markup::AttrChanger</a>
  
    <li><a href="./RDoc/Markup/AttrSpan.html">RDoc::Markup::AttrSpan</a>
  
    <li><a href="./RDoc/Markup/AttributeManager.html">RDoc::Markup::AttributeManager</a>
  
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    <li><a href="./RDoc/Markup/BlankLine.html">RDoc::Markup::BlankLine</a>
  
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    <li><a href="./RDoc/Markup/FormatterTestCase.html">RDoc::Markup::FormatterTestCase</a>
  
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    <li><a href="./RDoc/Markup/Include.html">RDoc::Markup::Include</a>
  
    <li><a href="./RDoc/Markup/IndentedParagraph.html">RDoc::Markup::IndentedParagraph</a>
  
    <li><a href="./RDoc/Markup/List.html">RDoc::Markup::List</a>
  
    <li><a href="./RDoc/Markup/ListItem.html">RDoc::Markup::ListItem</a>
  
    <li><a href="./RDoc/Markup/Paragraph.html">RDoc::Markup::Paragraph</a>
  
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    <li><a href="./RDoc/Markup/Parser/Error.html">RDoc::Markup::Parser::Error</a>
  
    <li><a href="./RDoc/Markup/Parser/ParseError.html">RDoc::Markup::Parser::ParseError</a>
  
    <li><a href="./RDoc/Markup/PreProcess.html">RDoc::Markup::PreProcess</a>
  
    <li><a href="./RDoc/Markup/Raw.html">RDoc::Markup::Raw</a>
  
    <li><a href="./RDoc/Markup/Rule.html">RDoc::Markup::Rule</a>
  
    <li><a href="./RDoc/Markup/Special.html">RDoc::Markup::Special</a>
  
    <li><a href="./RDoc/Markup/TextFormatterTestCase.html">RDoc::Markup::TextFormatterTestCase</a>
  
    <li><a href="./RDoc/Markup/ToAnsi.html">RDoc::Markup::ToAnsi</a>
  
    <li><a href="./RDoc/Markup/ToBs.html">RDoc::Markup::ToBs</a>
  
    <li><a href="./RDoc/Markup/ToHtml.html">RDoc::Markup::ToHtml</a>
  
    <li><a href="./RDoc/Markup/ToHtmlCrossref.html">RDoc::Markup::ToHtmlCrossref</a>
  
    <li><a href="./RDoc/Markup/ToHtmlSnippet.html">RDoc::Markup::ToHtmlSnippet</a>
  
    <li><a href="./RDoc/Markup/ToJoinedParagraph.html">RDoc::Markup::ToJoinedParagraph</a>
  
    <li><a href="./RDoc/Markup/ToLabel.html">RDoc::Markup::ToLabel</a>
  
    <li><a href="./RDoc/Markup/ToMarkdown.html">RDoc::Markup::ToMarkdown</a>
  
    <li><a href="./RDoc/Markup/ToRdoc.html">RDoc::Markup::ToRdoc</a>
  
    <li><a href="./RDoc/Markup/ToTableOfContents.html">RDoc::Markup::ToTableOfContents</a>
  
    <li><a href="./RDoc/Markup/ToTest.html">RDoc::Markup::ToTest</a>
  
    <li><a href="./RDoc/Markup/ToTtOnly.html">RDoc::Markup::ToTtOnly</a>
  
    <li><a href="./RDoc/Markup/Verbatim.html">RDoc::Markup::Verbatim</a>
  
    <li><a href="./RDoc/MetaMethod.html">RDoc::MetaMethod</a>
  
    <li><a href="./RDoc/MethodAttr.html">RDoc::MethodAttr</a>
  
    <li><a href="./RDoc/NormalClass.html">RDoc::NormalClass</a>
  
    <li><a href="./RDoc/NormalModule.html">RDoc::NormalModule</a>
  
    <li><a href="./RDoc/Options.html">RDoc::Options</a>
  
    <li><a href="./RDoc/Parser.html">RDoc::Parser</a>
  
    <li><a href="./RDoc/Parser/C.html">RDoc::Parser::C</a>
  
    <li><a href="./RDoc/Parser/ChangeLog.html">RDoc::Parser::ChangeLog</a>
  
    <li><a href="./RDoc/Parser/Markdown.html">RDoc::Parser::Markdown</a>
  
    <li><a href="./RDoc/Parser/RD.html">RDoc::Parser::RD</a>
  
    <li><a href="./RDoc/Parser/Ruby.html">RDoc::Parser::Ruby</a>
  
    <li><a href="./RDoc/Parser/RubyTools.html">RDoc::Parser::RubyTools</a>
  
    <li><a href="./RDoc/Parser/Simple.html">RDoc::Parser::Simple</a>
  
    <li><a href="./RDoc/Parser/Text.html">RDoc::Parser::Text</a>
  
    <li><a href="./RDoc/RD.html">RDoc::RD</a>
  
    <li><a href="./RDoc/RD/BlockParser.html">RDoc::RD::BlockParser</a>
  
    <li><a href="./RDoc/RD/Inline.html">RDoc::RD::Inline</a>
  
    <li><a href="./RDoc/RD/InlineParser.html">RDoc::RD::InlineParser</a>
  
    <li><a href="./RDoc/RDoc.html">RDoc::RDoc</a>
  
    <li><a href="./RDoc/RI.html">RDoc::RI</a>
  
    <li><a href="./RDoc/RI/Driver.html">RDoc::RI::Driver</a>
  
    <li><a href="./RDoc/RI/Driver/Error.html">RDoc::RI::Driver::Error</a>
  
    <li><a href="./RDoc/RI/Driver/NotFoundError.html">RDoc::RI::Driver::NotFoundError</a>
  
    <li><a href="./RDoc/RI/Error.html">RDoc::RI::Error</a>
  
    <li><a href="./RDoc/RI/Paths.html">RDoc::RI::Paths</a>
  
    <li><a href="./RDoc/Require.html">RDoc::Require</a>
  
    <li><a href="./RDoc/RubyLex.html">RDoc::RubyLex</a>
  
    <li><a href="./RDoc/RubyLex/Error.html">RDoc::RubyLex::Error</a>
  
    <li><a href="./RDoc/RubyToken.html">RDoc::RubyToken</a>
  
    <li><a href="./RDoc/RubygemsHook.html">RDoc::RubygemsHook</a>
  
    <li><a href="./RDoc/Servlet.html">RDoc::Servlet</a>
  
    <li><a href="./RDoc/SingleClass.html">RDoc::SingleClass</a>
  
    <li><a href="./RDoc/Stats.html">RDoc::Stats</a>
  
    <li><a href="./RDoc/Stats/Normal.html">RDoc::Stats::Normal</a>
  
    <li><a href="./RDoc/Stats/Quiet.html">RDoc::Stats::Quiet</a>
  
    <li><a href="./RDoc/Stats/Verbose.html">RDoc::Stats::Verbose</a>
  
    <li><a href="./RDoc/Store.html">RDoc::Store</a>
  
    <li><a href="./RDoc/Store/Error.html">RDoc::Store::Error</a>
  
    <li><a href="./RDoc/Store/MissingFileError.html">RDoc::Store::MissingFileError</a>
  
    <li><a href="./RDoc/Task.html">RDoc::Task</a>
  
    <li><a href="./RDoc/TestCase.html">RDoc::TestCase</a>
  
    <li><a href="./RDoc/Text.html">RDoc::Text</a>
  
    <li><a href="./RDoc/TokenStream.html">RDoc::TokenStream</a>
  
    <li><a href="./RDoc/TomDoc.html">RDoc::TomDoc</a>
  
    <li><a href="./RDoc/TopLevel.html">RDoc::TopLevel</a>
  
    <li><a href="./REXML.html">REXML</a>
  
    <li><a href="./REXML/AttlistDecl.html">REXML::AttlistDecl</a>
  
    <li><a href="./REXML/Attribute.html">REXML::Attribute</a>
  
    <li><a href="./REXML/Attributes.html">REXML::Attributes</a>
  
    <li><a href="./REXML/CData.html">REXML::CData</a>
  
    <li><a href="./REXML/Child.html">REXML::Child</a>
  
    <li><a href="./REXML/Comment.html">REXML::Comment</a>
  
    <li><a href="./REXML/DTD.html">REXML::DTD</a>
  
    <li><a href="./REXML/DTD/AttlistDecl.html">REXML::DTD::AttlistDecl</a>
  
    <li><a href="./REXML/DTD/ElementDecl.html">REXML::DTD::ElementDecl</a>
  
    <li><a href="./REXML/DTD/EntityDecl.html">REXML::DTD::EntityDecl</a>
  
    <li><a href="./REXML/DTD/NotationDecl.html">REXML::DTD::NotationDecl</a>
  
    <li><a href="./REXML/DTD/Parser.html">REXML::DTD::Parser</a>
  
    <li><a href="./REXML/Declaration.html">REXML::Declaration</a>
  
    <li><a href="./REXML/DocType.html">REXML::DocType</a>
  
    <li><a href="./REXML/Document.html">REXML::Document</a>
  
    <li><a href="./REXML/Element.html">REXML::Element</a>
  
    <li><a href="./REXML/ElementDecl.html">REXML::ElementDecl</a>
  
    <li><a href="./REXML/Elements.html">REXML::Elements</a>
  
    <li><a href="./REXML/Encoding.html">REXML::Encoding</a>
  
    <li><a href="./REXML/Entity.html">REXML::Entity</a>
  
    <li><a href="./REXML/EntityConst.html">REXML::EntityConst</a>
  
    <li><a href="./REXML/ExternalEntity.html">REXML::ExternalEntity</a>
  
    <li><a href="./REXML/Formatters.html">REXML::Formatters</a>
  
    <li><a href="./REXML/Formatters/Default.html">REXML::Formatters::Default</a>
  
    <li><a href="./REXML/Formatters/Pretty.html">REXML::Formatters::Pretty</a>
  
    <li><a href="./REXML/Formatters/Transitive.html">REXML::Formatters::Transitive</a>
  
    <li><a href="./REXML/Functions.html">REXML::Functions</a>
  
    <li><a href="./REXML/IOSource.html">REXML::IOSource</a>
  
    <li><a href="./REXML/Instruction.html">REXML::Instruction</a>
  
    <li><a href="./REXML/Light.html">REXML::Light</a>
  
    <li><a href="./REXML/Light/Node.html">REXML::Light::Node</a>
  
    <li><a href="./REXML/Namespace.html">REXML::Namespace</a>
  
    <li><a href="./REXML/Node.html">REXML::Node</a>
  
    <li><a href="./REXML/NotationDecl.html">REXML::NotationDecl</a>
  
    <li><a href="./REXML/Output.html">REXML::Output</a>
  
    <li><a href="./REXML/Parent.html">REXML::Parent</a>
  
    <li><a href="./REXML/ParseException.html">REXML::ParseException</a>
  
    <li><a href="./REXML/Parsers.html">REXML::Parsers</a>
  
    <li><a href="./REXML/Parsers/BaseParser.html">REXML::Parsers::BaseParser</a>
  
    <li><a href="./REXML/Parsers/LightParser.html">REXML::Parsers::LightParser</a>
  
    <li><a href="./REXML/Parsers/PullEvent.html">REXML::Parsers::PullEvent</a>
  
    <li><a href="./REXML/Parsers/PullParser.html">REXML::Parsers::PullParser</a>
  
    <li><a href="./REXML/Parsers/SAX2Parser.html">REXML::Parsers::SAX2Parser</a>
  
    <li><a href="./REXML/Parsers/StreamParser.html">REXML::Parsers::StreamParser</a>
  
    <li><a href="./REXML/Parsers/TreeParser.html">REXML::Parsers::TreeParser</a>
  
    <li><a href="./REXML/Parsers/UltraLightParser.html">REXML::Parsers::UltraLightParser</a>
  
    <li><a href="./REXML/Parsers/XPathParser.html">REXML::Parsers::XPathParser</a>
  
    <li><a href="./REXML/QuickPath.html">REXML::QuickPath</a>
  
    <li><a href="./REXML/SAX2Listener.html">REXML::SAX2Listener</a>
  
    <li><a href="./REXML/Source.html">REXML::Source</a>
  
    <li><a href="./REXML/SourceFactory.html">REXML::SourceFactory</a>
  
    <li><a href="./REXML/StreamListener.html">REXML::StreamListener</a>
  
    <li><a href="./REXML/SyncEnumerator.html">REXML::SyncEnumerator</a>
  
    <li><a href="./REXML/Text.html">REXML::Text</a>
  
    <li><a href="./REXML/UndefinedNamespaceException.html">REXML::UndefinedNamespaceException</a>
  
    <li><a href="./REXML/Validation.html">REXML::Validation</a>
  
    <li><a href="./REXML/Validation/Choice.html">REXML::Validation::Choice</a>
  
    <li><a href="./REXML/Validation/Event.html">REXML::Validation::Event</a>
  
    <li><a href="./REXML/Validation/Interleave.html">REXML::Validation::Interleave</a>
  
    <li><a href="./REXML/Validation/OneOrMore.html">REXML::Validation::OneOrMore</a>
  
    <li><a href="./REXML/Validation/Optional.html">REXML::Validation::Optional</a>
  
    <li><a href="./REXML/Validation/Ref.html">REXML::Validation::Ref</a>
  
    <li><a href="./REXML/Validation/RelaxNG.html">REXML::Validation::RelaxNG</a>
  
    <li><a href="./REXML/Validation/Sequence.html">REXML::Validation::Sequence</a>
  
    <li><a href="./REXML/Validation/State.html">REXML::Validation::State</a>
  
    <li><a href="./REXML/Validation/ValidationException.html">REXML::Validation::ValidationException</a>
  
    <li><a href="./REXML/Validation/Validator.html">REXML::Validation::Validator</a>
  
    <li><a href="./REXML/Validation/ZeroOrMore.html">REXML::Validation::ZeroOrMore</a>
  
    <li><a href="./REXML/XMLDecl.html">REXML::XMLDecl</a>
  
    <li><a href="./REXML/XMLTokens.html">REXML::XMLTokens</a>
  
    <li><a href="./REXML/XPath.html">REXML::XPath</a>
  
    <li><a href="./REXML/XPathParser.html">REXML::XPathParser</a>
  
    <li><a href="./RSS.html">RSS</a>
  
    <li><a href="./RSS/Atom.html">RSS::Atom</a>
  
    <li><a href="./RSS/Atom/CommonModel.html">RSS::Atom::CommonModel</a>
  
    <li><a href="./RSS/Atom/ContentModel.html">RSS::Atom::ContentModel</a>
  
    <li><a href="./RSS/Atom/ContentModel/ClassMethods.html">RSS::Atom::ContentModel::ClassMethods</a>
  
    <li><a href="./RSS/Atom/DateConstruct.html">RSS::Atom::DateConstruct</a>
  
    <li><a href="./RSS/Atom/DuplicateLinkChecker.html">RSS::Atom::DuplicateLinkChecker</a>
  
    <li><a href="./RSS/Atom/Entry.html">RSS::Atom::Entry</a>
  
    <li><a href="./RSS/Atom/Feed.html">RSS::Atom::Feed</a>
  
    <li><a href="./RSS/Atom/Feed/Author.html">RSS::Atom::Feed::Author</a>
  
    <li><a href="./RSS/Atom/Feed/Category.html">RSS::Atom::Feed::Category</a>
  
    <li><a href="./RSS/Atom/Feed/Contributor.html">RSS::Atom::Feed::Contributor</a>
  
    <li><a href="./RSS/Atom/Feed/Entry.html">RSS::Atom::Feed::Entry</a>
  
    <li><a href="./RSS/Atom/Feed/Entry/Content.html">RSS::Atom::Feed::Entry::Content</a>
  
    <li><a href="./RSS/Atom/Feed/Entry/Published.html">RSS::Atom::Feed::Entry::Published</a>
  
    <li><a href="./RSS/Atom/Feed/Entry/Source.html">RSS::Atom::Feed::Entry::Source</a>
  
    <li><a href="./RSS/Atom/Feed/Entry/Summary.html">RSS::Atom::Feed::Entry::Summary</a>
  
    <li><a href="./RSS/Atom/Feed/Generator.html">RSS::Atom::Feed::Generator</a>
  
    <li><a href="./RSS/Atom/Feed/Icon.html">RSS::Atom::Feed::Icon</a>
  
    <li><a href="./RSS/Atom/Feed/Id.html">RSS::Atom::Feed::Id</a>
  
    <li><a href="./RSS/Atom/Feed/Link.html">RSS::Atom::Feed::Link</a>
  
    <li><a href="./RSS/Atom/Feed/Logo.html">RSS::Atom::Feed::Logo</a>
  
    <li><a href="./RSS/Atom/Feed/Rights.html">RSS::Atom::Feed::Rights</a>
  
    <li><a href="./RSS/Atom/Feed/Subtitle.html">RSS::Atom::Feed::Subtitle</a>
  
    <li><a href="./RSS/Atom/Feed/Title.html">RSS::Atom::Feed::Title</a>
  
    <li><a href="./RSS/Atom/Feed/Updated.html">RSS::Atom::Feed::Updated</a>
  
    <li><a href="./RSS/Atom/PersonConstruct.html">RSS::Atom::PersonConstruct</a>
  
    <li><a href="./RSS/Atom/PersonConstruct/Email.html">RSS::Atom::PersonConstruct::Email</a>
  
    <li><a href="./RSS/Atom/PersonConstruct/Name.html">RSS::Atom::PersonConstruct::Name</a>
  
    <li><a href="./RSS/Atom/PersonConstruct/Uri.html">RSS::Atom::PersonConstruct::Uri</a>
  
    <li><a href="./RSS/Atom/TextConstruct.html">RSS::Atom::TextConstruct</a>
  
    <li><a href="./RSS/Atom/URIContentModel.html">RSS::Atom::URIContentModel</a>
  
    <li><a href="./RSS/BaseDublinCoreModel.html">RSS::BaseDublinCoreModel</a>
  
    <li><a href="./RSS/BaseListener.html">RSS::BaseListener</a>
  
    <li><a href="./RSS/BaseModel.html">RSS::BaseModel</a>
  
    <li><a href="./RSS/BaseParser.html">RSS::BaseParser</a>
  
    <li><a href="./RSS/BaseTrackBackModel.html">RSS::BaseTrackBackModel</a>
  
    <li><a href="./RSS/ContentModel.html">RSS::ContentModel</a>
  
    <li><a href="./RSS/ConversionError.html">RSS::ConversionError</a>
  
    <li><a href="./RSS/Converter.html">RSS::Converter</a>
  
    <li><a href="./RSS/DublinCoreModel.html">RSS::DublinCoreModel</a>
  
    <li><a href="./RSS/DublinCoreModel.html">RSS::DublincoreModel</a>
  
    <li><a href="./RSS/Element.html">RSS::Element</a>
  
    <li><a href="./RSS/Error.html">RSS::Error</a>
  
    <li><a href="./RSS/ITunesBaseModel.html">RSS::ITunesBaseModel</a>
  
    <li><a href="./RSS/ITunesChannelModel.html">RSS::ITunesChannelModel</a>
  
    <li><a href="./RSS/ITunesChannelModel/ITunesCategory.html">RSS::ITunesChannelModel::ITunesCategory</a>
  
    <li><a href="./RSS/ITunesChannelModel/ITunesImage.html">RSS::ITunesChannelModel::ITunesImage</a>
  
    <li><a href="./RSS/ITunesChannelModel/ITunesOwner.html">RSS::ITunesChannelModel::ITunesOwner</a>
  
    <li><a href="./RSS/ITunesItemModel.html">RSS::ITunesItemModel</a>
  
    <li><a href="./RSS/ITunesItemModel/ITunesDuration.html">RSS::ITunesItemModel::ITunesDuration</a>
  
    <li><a href="./RSS/ITunesModelUtils.html">RSS::ITunesModelUtils</a>
  
    <li><a href="./RSS/ImageFaviconModel.html">RSS::ImageFaviconModel</a>
  
    <li><a href="./RSS/ImageFaviconModel/ImageFavicon.html">RSS::ImageFaviconModel::ImageFavicon</a>
  
    <li><a href="./RSS/ImageItemModel.html">RSS::ImageItemModel</a>
  
    <li><a href="./RSS/ImageItemModel/ImageItem.html">RSS::ImageItemModel::ImageItem</a>
  
    <li><a href="./RSS/ImageModelUtils.html">RSS::ImageModelUtils</a>
  
    <li><a href="./RSS/InvalidRSSError.html">RSS::InvalidRSSError</a>
  
    <li><a href="./RSS/ListenerMixin.html">RSS::ListenerMixin</a>
  
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    <li><a href="./RSS/Maker/RSS09/Items/Item/Guid.html">RSS::Maker::RSS09::Items::Item::Guid</a>
  
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    <li><a href="./RSS/Maker/RSS09/Items/Item/Source/Authors.html">RSS::Maker::RSS09::Items::Item::Source::Authors</a>
  
    <li><a href="./RSS/Maker/RSS09/Items/Item/Source/Authors/Author.html">RSS::Maker::RSS09::Items::Item::Source::Authors::Author</a>
  
    <li><a href="./RSS/Maker/RSS09/Items/Item/Source/Categories.html">RSS::Maker::RSS09::Items::Item::Source::Categories</a>
  
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    <li><a href="./RSS/Maker/RSS09/Items/Item/Source/Generator.html">RSS::Maker::RSS09::Items::Item::Source::Generator</a>
  
    <li><a href="./RSS/Maker/RSS09/Items/Item/Source/Icon.html">RSS::Maker::RSS09::Items::Item::Source::Icon</a>
  
    <li><a href="./RSS/Maker/RSS09/Items/Item/Source/Links.html">RSS::Maker::RSS09::Items::Item::Source::Links</a>
  
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    <li><a href="./RSS/Maker/RSS09/Textinput.html">RSS::Maker::RSS09::Textinput</a>
  
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    <li><a href="./RSS/Maker/RSS10/Channel.html">RSS::Maker::RSS10::Channel</a>
  
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    <li><a href="./RSS/Maker/RSS10/Channel/Authors/Author.html">RSS::Maker::RSS10::Channel::Authors::Author</a>
  
    <li><a href="./RSS/Maker/RSS10/Channel/Categories.html">RSS::Maker::RSS10::Channel::Categories</a>
  
    <li><a href="./RSS/Maker/RSS10/Channel/Categories/Category.html">RSS::Maker::RSS10::Channel::Categories::Category</a>
  
    <li><a href="./RSS/Maker/RSS10/Channel/Cloud.html">RSS::Maker::RSS10::Channel::Cloud</a>
  
    <li><a href="./RSS/Maker/RSS10/Channel/Contributors.html">RSS::Maker::RSS10::Channel::Contributors</a>
  
    <li><a href="./RSS/Maker/RSS10/Channel/Contributors/Contributor.html">RSS::Maker::RSS10::Channel::Contributors::Contributor</a>
  
    <li><a href="./RSS/Maker/RSS10/Channel/Copyright.html">RSS::Maker::RSS10::Channel::Copyright</a>
  
    <li><a href="./RSS/Maker/RSS10/Channel/Description.html">RSS::Maker::RSS10::Channel::Description</a>
  
    <li><a href="./RSS/Maker/RSS10/Channel/Generator.html">RSS::Maker::RSS10::Channel::Generator</a>
  
    <li><a href="./RSS/Maker/RSS10/Channel/Links.html">RSS::Maker::RSS10::Channel::Links</a>
  
    <li><a href="./RSS/Maker/RSS10/Channel/Links/Link.html">RSS::Maker::RSS10::Channel::Links::Link</a>
  
    <li><a href="./RSS/Maker/RSS10/Channel/SkipDays.html">RSS::Maker::RSS10::Channel::SkipDays</a>
  
    <li><a href="./RSS/Maker/RSS10/Channel/SkipDays/Day.html">RSS::Maker::RSS10::Channel::SkipDays::Day</a>
  
    <li><a href="./RSS/Maker/RSS10/Channel/SkipHours.html">RSS::Maker::RSS10::Channel::SkipHours</a>
  
    <li><a href="./RSS/Maker/RSS10/Channel/SkipHours/Hour.html">RSS::Maker::RSS10::Channel::SkipHours::Hour</a>
  
    <li><a href="./RSS/Maker/RSS10/Channel/Title.html">RSS::Maker::RSS10::Channel::Title</a>
  
    <li><a href="./RSS/Maker/RSS10/Image.html">RSS::Maker::RSS10::Image</a>
  
    <li><a href="./RSS/Maker/RSS10/Items.html">RSS::Maker::RSS10::Items</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item.html">RSS::Maker::RSS10::Items::Item</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Authors.html">RSS::Maker::RSS10::Items::Item::Authors</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Authors/Author.html">RSS::Maker::RSS10::Items::Item::Authors::Author</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Categories.html">RSS::Maker::RSS10::Items::Item::Categories</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Categories/Category.html">RSS::Maker::RSS10::Items::Item::Categories::Category</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Content.html">RSS::Maker::RSS10::Items::Item::Content</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Contributors.html">RSS::Maker::RSS10::Items::Item::Contributors</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Contributors/Contributor.html">RSS::Maker::RSS10::Items::Item::Contributors::Contributor</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Description.html">RSS::Maker::RSS10::Items::Item::Description</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Enclosure.html">RSS::Maker::RSS10::Items::Item::Enclosure</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Guid.html">RSS::Maker::RSS10::Items::Item::Guid</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Links.html">RSS::Maker::RSS10::Items::Item::Links</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Links/Link.html">RSS::Maker::RSS10::Items::Item::Links::Link</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Rights.html">RSS::Maker::RSS10::Items::Item::Rights</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Source.html">RSS::Maker::RSS10::Items::Item::Source</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Source/Authors.html">RSS::Maker::RSS10::Items::Item::Source::Authors</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Source/Authors/Author.html">RSS::Maker::RSS10::Items::Item::Source::Authors::Author</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Source/Categories.html">RSS::Maker::RSS10::Items::Item::Source::Categories</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Source/Categories/Category.html">RSS::Maker::RSS10::Items::Item::Source::Categories::Category</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Source/Contributors.html">RSS::Maker::RSS10::Items::Item::Source::Contributors</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Source/Contributors/Contributor.html">RSS::Maker::RSS10::Items::Item::Source::Contributors::Contributor</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Source/Generator.html">RSS::Maker::RSS10::Items::Item::Source::Generator</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Source/Icon.html">RSS::Maker::RSS10::Items::Item::Source::Icon</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Source/Links.html">RSS::Maker::RSS10::Items::Item::Source::Links</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Source/Links/Link.html">RSS::Maker::RSS10::Items::Item::Source::Links::Link</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Source/Logo.html">RSS::Maker::RSS10::Items::Item::Source::Logo</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Source/Rights.html">RSS::Maker::RSS10::Items::Item::Source::Rights</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Source/Subtitle.html">RSS::Maker::RSS10::Items::Item::Source::Subtitle</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Source/Title.html">RSS::Maker::RSS10::Items::Item::Source::Title</a>
  
    <li><a href="./RSS/Maker/RSS10/Items/Item/Title.html">RSS::Maker::RSS10::Items::Item::Title</a>
  
    <li><a href="./RSS/Maker/RSS10/Textinput.html">RSS::Maker::RSS10::Textinput</a>
  
    <li><a href="./RSS/Maker/RSS20.html">RSS::Maker::RSS20</a>
  
    <li><a href="./RSS/Maker/RSS20/Channel.html">RSS::Maker::RSS20::Channel</a>
  
    <li><a href="./RSS/Maker/RSS20/Channel/Categories.html">RSS::Maker::RSS20::Channel::Categories</a>
  
    <li><a href="./RSS/Maker/RSS20/Channel/Categories/Category.html">RSS::Maker::RSS20::Channel::Categories::Category</a>
  
    <li><a href="./RSS/Maker/RSS20/Channel/Cloud.html">RSS::Maker::RSS20::Channel::Cloud</a>
  
    <li><a href="./RSS/Maker/RSS20/Channel/Generator.html">RSS::Maker::RSS20::Channel::Generator</a>
  
    <li><a href="./RSS/Maker/RSS20/Channel/SkipDays.html">RSS::Maker::RSS20::Channel::SkipDays</a>
  
    <li><a href="./RSS/Maker/RSS20/Channel/SkipDays/Day.html">RSS::Maker::RSS20::Channel::SkipDays::Day</a>
  
    <li><a href="./RSS/Maker/RSS20/Channel/SkipHours.html">RSS::Maker::RSS20::Channel::SkipHours</a>
  
    <li><a href="./RSS/Maker/RSS20/Channel/SkipHours/Hour.html">RSS::Maker::RSS20::Channel::SkipHours::Hour</a>
  
    <li><a href="./RSS/Maker/RSS20/Image.html">RSS::Maker::RSS20::Image</a>
  
    <li><a href="./RSS/Maker/RSS20/Items.html">RSS::Maker::RSS20::Items</a>
  
    <li><a href="./RSS/Maker/RSS20/Items/Item.html">RSS::Maker::RSS20::Items::Item</a>
  
    <li><a href="./RSS/Maker/RSS20/Items/Item/Authors.html">RSS::Maker::RSS20::Items::Item::Authors</a>
  
    <li><a href="./RSS/Maker/RSS20/Items/Item/Authors/Author.html">RSS::Maker::RSS20::Items::Item::Authors::Author</a>
  
    <li><a href="./RSS/Maker/RSS20/Items/Item/Categories.html">RSS::Maker::RSS20::Items::Item::Categories</a>
  
    <li><a href="./RSS/Maker/RSS20/Items/Item/Categories/Category.html">RSS::Maker::RSS20::Items::Item::Categories::Category</a>
  
    <li><a href="./RSS/Maker/RSS20/Items/Item/Enclosure.html">RSS::Maker::RSS20::Items::Item::Enclosure</a>
  
    <li><a href="./RSS/Maker/RSS20/Items/Item/Guid.html">RSS::Maker::RSS20::Items::Item::Guid</a>
  
    <li><a href="./RSS/Maker/RSS20/Items/Item/Source.html">RSS::Maker::RSS20::Items::Item::Source</a>
  
    <li><a href="./RSS/Maker/RSS20/Items/Item/Source/Links.html">RSS::Maker::RSS20::Items::Item::Source::Links</a>
  
    <li><a href="./RSS/Maker/RSS20/Items/Item/Source/Links/Link.html">RSS::Maker::RSS20::Items::Item::Source::Links::Link</a>
  
    <li><a href="./RSS/Maker/RSS20/Textinput.html">RSS::Maker::RSS20::Textinput</a>
  
    <li><a href="./RSS/Maker/RSSBase.html">RSS::Maker::RSSBase</a>
  
    <li><a href="./RSS/Maker/SetupDefaultDate.html">RSS::Maker::SetupDefaultDate</a>
  
    <li><a href="./RSS/Maker/SetupDefaultLanguage.html">RSS::Maker::SetupDefaultLanguage</a>
  
    <li><a href="./RSS/Maker/SlashModel.html">RSS::Maker::SlashModel</a>
  
    <li><a href="./RSS/Maker/SyndicationModel.html">RSS::Maker::SyndicationModel</a>
  
    <li><a href="./RSS/Maker/TaxonomyTopicModel.html">RSS::Maker::TaxonomyTopicModel</a>
  
    <li><a href="./RSS/Maker/TaxonomyTopicModel/TaxonomyTopicsBase.html">RSS::Maker::TaxonomyTopicModel::TaxonomyTopicsBase</a>
  
    <li><a href="./RSS/Maker/TaxonomyTopicModel/TaxonomyTopicsBase/TaxonomyTopicBase.html">RSS::Maker::TaxonomyTopicModel::TaxonomyTopicsBase::TaxonomyTopicBase</a>
  
    <li><a href="./RSS/Maker/TaxonomyTopicsModel.html">RSS::Maker::TaxonomyTopicsModel</a>
  
    <li><a href="./RSS/Maker/TaxonomyTopicsModel/TaxonomyTopicsBase.html">RSS::Maker::TaxonomyTopicsModel::TaxonomyTopicsBase</a>
  
    <li><a href="./RSS/Maker/TextinputBase.html">RSS::Maker::TextinputBase</a>
  
    <li><a href="./RSS/Maker/TrackBackModel.html">RSS::Maker::TrackBackModel</a>
  
    <li><a href="./RSS/Maker/TrackBackModel/TrackBackAboutsBase.html">RSS::Maker::TrackBackModel::TrackBackAboutsBase</a>
  
    <li><a href="./RSS/Maker/TrackBackModel/TrackBackAboutsBase/TrackBackAboutBase.html">RSS::Maker::TrackBackModel::TrackBackAboutsBase::TrackBackAboutBase</a>
  
    <li><a href="./RSS/Maker/XMLStyleSheets.html">RSS::Maker::XMLStyleSheets</a>
  
    <li><a href="./RSS/Maker/XMLStyleSheets/XMLStyleSheet.html">RSS::Maker::XMLStyleSheets::XMLStyleSheet</a>
  
    <li><a href="./RSS/MissingAttributeError.html">RSS::MissingAttributeError</a>
  
    <li><a href="./RSS/MissingTagError.html">RSS::MissingTagError</a>
  
    <li><a href="./RSS/NSError.html">RSS::NSError</a>
  
    <li><a href="./RSS/NotAvailableValueError.html">RSS::NotAvailableValueError</a>
  
    <li><a href="./RSS/NotExpectedTagError.html">RSS::NotExceptedTagError</a>
  
    <li><a href="./RSS/NotExpectedTagError.html">RSS::NotExpectedTagError</a>
  
    <li><a href="./RSS/NotSetError.html">RSS::NotSetError</a>
  
    <li><a href="./RSS/NotValidXMLParser.html">RSS::NotValidXMLParser</a>
  
    <li><a href="./RSS/NotWellFormedError.html">RSS::NotWellFormedError</a>
  
    <li><a href="./RSS/OverlappedPrefixError.html">RSS::OverlappedPrefixError</a>
  
    <li><a href="./RSS/Parser.html">RSS::Parser</a>
  
    <li><a href="./RSS/RDF.html">RSS::RDF</a>
  
    <li><a href="./RSS/RDF/Bag.html">RSS::RDF::Bag</a>
  
    <li><a href="./RSS/RDF/Li.html">RSS::RDF::Bag::Li</a>
  
    <li><a href="./RSS/RDF/Channel.html">RSS::RDF::Channel</a>
  
    <li><a href="./RSS/RDF/Channel/Image.html">RSS::RDF::Channel::Image</a>
  
    <li><a href="./RSS/RDF/Channel/Items.html">RSS::RDF::Channel::Items</a>
  
    <li><a href="./RSS/RDF/Seq.html">RSS::RDF::Channel::Items::Seq</a>
  
    <li><a href="./RSS/RDF/Channel/Textinput.html">RSS::RDF::Channel::Textinput</a>
  
    <li><a href="./RSS/RDF/Image.html">RSS::RDF::Image</a>
  
    <li><a href="./RSS/RDF/Item.html">RSS::RDF::Item</a>
  
    <li><a href="./RSS/RDF/Li.html">RSS::RDF::Li</a>
  
    <li><a href="./RSS/RDF/Seq.html">RSS::RDF::Seq</a>
  
    <li><a href="./RSS/RDF/Li.html">RSS::RDF::Seq::Li</a>
  
    <li><a href="./RSS/RDF/Textinput.html">RSS::RDF::Textinput</a>
  
    <li><a href="./RSS/REXMLLikeXMLParser.html">RSS::REXMLLikeXMLParser</a>
  
    <li><a href="./RSS/REXMLListener.html">RSS::REXMLListener</a>
  
    <li><a href="./RSS/REXMLParser.html">RSS::REXMLParser</a>
  
    <li><a href="./RSS/RSS09.html">RSS::RSS09</a>
  
    <li><a href="./RSS/RSS10.html">RSS::RSS10</a>
  
    <li><a href="./RSS/RootElementMixin.html">RSS::RootElementMixin</a>
  
    <li><a href="./RSS/Rss.html">RSS::Rss</a>
  
    <li><a href="./RSS/Rss/Channel.html">RSS::Rss::Channel</a>
  
    <li><a href="./RSS/Rss/Channel/Cloud.html">RSS::Rss::Channel::Cloud</a>
  
    <li><a href="./RSS/Rss/Channel/Image.html">RSS::Rss::Channel::Image</a>
  
    <li><a href="./RSS/Rss/Channel/Item.html">RSS::Rss::Channel::Item</a>
  
    <li><a href="./RSS/Rss/Channel/Item/Category.html">RSS::Rss::Channel::Item::Category</a>
  
    <li><a href="./RSS/Rss/Channel/Item/Enclosure.html">RSS::Rss::Channel::Item::Enclosure</a>
  
    <li><a href="./RSS/Rss/Channel/Item/Guid.html">RSS::Rss::Channel::Item::Guid</a>
  
    <li><a href="./RSS/Rss/Channel/Item/Source.html">RSS::Rss::Channel::Item::Source</a>
  
    <li><a href="./RSS/Rss/Channel/SkipDays.html">RSS::Rss::Channel::SkipDays</a>
  
    <li><a href="./RSS/Rss/Channel/SkipDays/Day.html">RSS::Rss::Channel::SkipDays::Day</a>
  
    <li><a href="./RSS/Rss/Channel/SkipHours.html">RSS::Rss::Channel::SkipHours</a>
  
    <li><a href="./RSS/Rss/Channel/SkipHours/Hour.html">RSS::Rss::Channel::SkipHours::Hour</a>
  
    <li><a href="./RSS/Rss/Channel/TextInput.html">RSS::Rss::Channel::TextInput</a>
  
    <li><a href="./RSS/SetupMaker.html">RSS::SetupMaker</a>
  
    <li><a href="./RSS/SlashModel.html">RSS::SlashModel</a>
  
    <li><a href="./RSS/SyndicationModel.html">RSS::SyndicationModel</a>
  
    <li><a href="./RSS/TaxonomyTopicModel.html">RSS::TaxonomyTopicModel</a>
  
    <li><a href="./RSS/TaxonomyTopicModel/TaxonomyTopic.html">RSS::TaxonomyTopicModel::TaxonomyTopic</a>
  
    <li><a href="./RSS/TaxonomyTopicsModel.html">RSS::TaxonomyTopicsModel</a>
  
    <li><a href="./RSS/TaxonomyTopicsModel/TaxonomyTopics.html">RSS::TaxonomyTopicsModel::TaxonomyTopics</a>
  
    <li><a href="./RSS/RDF/Bag.html">RSS::TaxonomyTopicsModel::TaxonomyTopics::Bag</a>
  
    <li><a href="./RSS/TooMuchTagError.html">RSS::TooMuchTagError</a>
  
    <li><a href="./RSS/TrackBackModel10.html">RSS::TrackBackModel10</a>
  
    <li><a href="./RSS/TrackBackModel10/TrackBackAbout.html">RSS::TrackBackModel10::TrackBackAbout</a>
  
    <li><a href="./RSS/TrackBackModel10/TrackBackPing.html">RSS::TrackBackModel10::TrackBackPing</a>
  
    <li><a href="./RSS/TrackBackModel20.html">RSS::TrackBackModel20</a>
  
    <li><a href="./RSS/TrackBackModel20/TrackBackAbout.html">RSS::TrackBackModel20::TrackBackAbout</a>
  
    <li><a href="./RSS/TrackBackModel20/TrackBackPing.html">RSS::TrackBackModel20::TrackBackPing</a>
  
    <li><a href="./RSS/TrackBackUtils.html">RSS::TrackBackUtils</a>
  
    <li><a href="./RSS/UnknownConversionMethodError.html">RSS::UnknownConversionMethodError</a>
  
    <li><a href="./RSS/UnknownConversionMethodError.html">RSS::UnknownConvertMethod</a>
  
    <li><a href="./RSS/UnknownTagError.html">RSS::UnknownTagError</a>
  
    <li><a href="./RSS/UnsupportedMakerVersionError.html">RSS::UnsupportedMakerVersionError</a>
  
    <li><a href="./RSS/Utils.html">RSS::Utils</a>
  
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    <li><a href="./RSS/Utils/YesOther.html">RSS::Utils::YesOther</a>
  
    <li><a href="./RSS/XML.html">RSS::XML</a>
  
    <li><a href="./RSS/XML/Element.html">RSS::XML::Element</a>
  
    <li><a href="./RSS/XMLParserListener.html">RSS::XMLParserListener</a>
  
    <li><a href="./RSS/XMLParserNotFound.html">RSS::XMLParserNotFound</a>
  
    <li><a href="./RSS/XMLParserParser.html">RSS::XMLParserParser</a>
  
    <li><a href="./RSS/XMLScanListener.html">RSS::XMLScanListener</a>
  
    <li><a href="./RSS/XMLScanParser.html">RSS::XMLScanParser</a>
  
    <li><a href="./RSS/XMLStyleSheet.html">RSS::XMLStyleSheet</a>
  
    <li><a href="./RSS/XMLStyleSheetMixin.html">RSS::XMLStyleSheetMixin</a>
  
    <li><a href="./Racc.html">Racc</a>
  
    <li><a href="./Racc/CparseParams.html">Racc::CparseParams</a>
  
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<div id="documentation">
  <h1 class="module">module BigMath</h1>

  <div id="description" class="description">
    
<p>mathematical functions</p>

<p>Provides mathematical functions.</p>

<p>Example:</p>

<pre class="ruby"><span class="ruby-identifier">require</span> <span class="ruby-string">&quot;bigdecimal&quot;</span>
<span class="ruby-identifier">require</span> <span class="ruby-string">&quot;bigdecimal/math&quot;</span>

<span class="ruby-identifier">include</span> <span class="ruby-constant">BigMath</span>

<span class="ruby-identifier">a</span> = <span class="ruby-constant">BigDecimal</span>((<span class="ruby-constant">PI</span>(<span class="ruby-value">100</span>)<span class="ruby-operator">/</span><span class="ruby-value">2</span>).<span class="ruby-identifier">to_s</span>)
<span class="ruby-identifier">puts</span> <span class="ruby-identifier">sin</span>(<span class="ruby-identifier">a</span>,<span class="ruby-value">100</span>) <span class="ruby-comment"># -&gt; 0.10000000000000000000......E1</span>
</pre>

  </div><!-- description -->

  
  <section id="5Buntitled-5D" class="documentation-section">
    

    <!-- Methods -->
    
     <section id="public-class-5Buntitled-5D-method-details" class="method-section section">
      <h3 class="section-header">Public Class Methods</h3>

    
      <div id="method-c-exp" class="method-detail ">
        
        
        <div class="method-heading">
          <span class="method-callseq">
            exp(x, prec)
          </span>
          
          <span class="method-click-advice">click to toggle source</span>
          
        </div>
        
        
        <div class="method-description">
          
          <p>Computes the value of e (the base of natural logarithms) raised to the
power of x, to the specified number of digits of precision.</p>

<p>If x is infinity, returns Infinity.</p>

<p>If x is NaN, returns NaN.</p>
          
          
          <div class="method-source-code" id="exp-source">
            <pre>static VALUE
BigMath_s_exp(VALUE klass, VALUE x, VALUE vprec)
{
    ssize_t prec, n, i;
    Real* vx = NULL;
    VALUE one, d, x1, y, z;
    int negative = 0;
    int infinite = 0;
    int nan = 0;
    double flo;

    prec = NUM2SSIZET(vprec);
    if (prec &lt;= 0) {
        rb_raise(rb_eArgError, &quot;Zero or negative precision for exp&quot;);
    }

    /* TODO: the following switch statement is almostly the same as one in the
     *       BigDecimalCmp function. */
    switch (TYPE(x)) {
      case T_DATA:
          if (!is_kind_of_BigDecimal(x)) break;
          vx = DATA_PTR(x);
          negative = VpGetSign(vx) &lt; 0;
          infinite = VpIsPosInf(vx) || VpIsNegInf(vx);
          nan = VpIsNaN(vx);
          break;

      case T_FIXNUM:
          /* fall through */
      case T_BIGNUM:
          vx = GetVpValue(x, 0);
          break;

      case T_FLOAT:
        flo = RFLOAT_VALUE(x);
        negative = flo &lt; 0;
        infinite = isinf(flo);
        nan = isnan(flo);
        if (!infinite &amp;&amp; !nan) {
            vx = GetVpValueWithPrec(x, DBL_DIG+1, 0);
        }
        break;

      case T_RATIONAL:
        vx = GetVpValueWithPrec(x, prec, 0);
        break;

      default:
        break;
    }
    if (infinite) {
        if (negative) {
            return ToValue(GetVpValueWithPrec(INT2NUM(0), prec, 1));
        }
        else {
            Real* vy;
            vy = VpCreateRbObject(prec, &quot;#0&quot;);
            RB_GC_GUARD(vy-&gt;obj);
            VpSetInf(vy, VP_SIGN_POSITIVE_INFINITE);
            return ToValue(vy);
        }
    }
    else if (nan) {
        Real* vy;
        vy = VpCreateRbObject(prec, &quot;#0&quot;);
        RB_GC_GUARD(vy-&gt;obj);
        VpSetNaN(vy);
        return ToValue(vy);
    }
    else if (vx == NULL) {
        cannot_be_coerced_into_BigDecimal(rb_eArgError, x);
    }
    RB_GC_GUARD(vx-&gt;obj);

    n = prec + rmpd_double_figures();
    negative = VpGetSign(vx) &lt; 0;
    if (negative) {
        VpSetSign(vx, 1);
    }

    RB_GC_GUARD(one) = ToValue(VpCreateRbObject(1, &quot;1&quot;));
    RB_GC_GUARD(x1) = one;
    RB_GC_GUARD(y)  = one;
    RB_GC_GUARD(d)  = y;
    RB_GC_GUARD(z)  = one;
    i  = 0;

    while (!VpIsZero((Real*)DATA_PTR(d))) {
        VALUE argv[2];
        SIGNED_VALUE const ey = VpExponent10(DATA_PTR(y));
        SIGNED_VALUE const ed = VpExponent10(DATA_PTR(d));
        ssize_t m = n - vabs(ey - ed);
        if (m &lt;= 0) {
            break;
        }
        else if ((size_t)m &lt; rmpd_double_figures()) {
            m = rmpd_double_figures();
        }

        x1 = BigDecimal_mult2(x1, x, SSIZET2NUM(n));
        ++i;
        z = BigDecimal_mult(z, SSIZET2NUM(i));
        argv[0] = z;
        argv[1] = SSIZET2NUM(m);
        d = BigDecimal_div2(2, argv, x1);
        y = BigDecimal_add(y, d);
    }

    if (negative) {
        VALUE argv[2];
        argv[0] = y;
        argv[1] = vprec;
        return BigDecimal_div2(2, argv, one);
    }
    else {
        vprec = SSIZET2NUM(prec - VpExponent10(DATA_PTR(y)));
        return BigDecimal_round(1, &amp;vprec, y);
    }
}</pre>
          </div><!-- exp-source -->
          
        </div>

        
      </div><!-- exp-method -->

    
      <div id="method-c-log" class="method-detail ">
        
        
        <div class="method-heading">
          <span class="method-callseq">
            log(x, prec)
          </span>
          
          <span class="method-click-advice">click to toggle source</span>
          
        </div>
        
        
        <div class="method-description">
          
          <p>Computes the natural logarithm of x to the specified number of digits of
precision.</p>

<p>If x is zero or negative, raises <a
href="Math/DomainError.html">Math::DomainError</a>.</p>

<p>If x is positive infinity, returns Infinity.</p>

<p>If x is NaN, returns NaN.</p>
          
          
          <div class="method-source-code" id="log-source">
            <pre>static VALUE
BigMath_s_log(VALUE klass, VALUE x, VALUE vprec)
{
    ssize_t prec, n, i;
    SIGNED_VALUE expo;
    Real* vx = NULL;
    VALUE argv[2], vn, one, two, w, x2, y, d;
    int zero = 0;
    int negative = 0;
    int infinite = 0;
    int nan = 0;
    double flo;
    long fix;

    if (!is_integer(vprec)) {
        rb_raise(rb_eArgError, &quot;precision must be an Integer&quot;);
    }

    prec = NUM2SSIZET(vprec);
    if (prec &lt;= 0) {
        rb_raise(rb_eArgError, &quot;Zero or negative precision for exp&quot;);
    }

    /* TODO: the following switch statement is almostly the same as one in the
     *       BigDecimalCmp function. */
    switch (TYPE(x)) {
      case T_DATA:
          if (!is_kind_of_BigDecimal(x)) break;
          vx = DATA_PTR(x);
          zero = VpIsZero(vx);
          negative = VpGetSign(vx) &lt; 0;
          infinite = VpIsPosInf(vx) || VpIsNegInf(vx);
          nan = VpIsNaN(vx);
          break;

      case T_FIXNUM:
        fix = FIX2LONG(x);
        zero = fix == 0;
        negative = fix &lt; 0;
        goto get_vp_value;

      case T_BIGNUM:
        zero = RBIGNUM_ZERO_P(x);
        negative = RBIGNUM_NEGATIVE_P(x);
get_vp_value:
        if (zero || negative) break;
        vx = GetVpValue(x, 0);
        break;

      case T_FLOAT:
        flo = RFLOAT_VALUE(x);
        zero = flo == 0;
        negative = flo &lt; 0;
        infinite = isinf(flo);
        nan = isnan(flo);
        if (!zero &amp;&amp; !negative &amp;&amp; !infinite &amp;&amp; !nan) {
            vx = GetVpValueWithPrec(x, DBL_DIG+1, 1);
        }
        break;

      case T_RATIONAL:
        zero = RRATIONAL_ZERO_P(x);
        negative = RRATIONAL_NEGATIVE_P(x);
        if (zero || negative) break;
        vx = GetVpValueWithPrec(x, prec, 1);
        break;

      case T_COMPLEX:
        rb_raise(rb_eMathDomainError,
                 &quot;Complex argument for BigMath.log&quot;);

      default:
        break;
    }
    if (infinite &amp;&amp; !negative) {
        Real* vy;
        vy = VpCreateRbObject(prec, &quot;#0&quot;);
        RB_GC_GUARD(vy-&gt;obj);
        VpSetInf(vy, VP_SIGN_POSITIVE_INFINITE);
        return ToValue(vy);
    }
    else if (nan) {
        Real* vy;
        vy = VpCreateRbObject(prec, &quot;#0&quot;);
        RB_GC_GUARD(vy-&gt;obj);
        VpSetNaN(vy);
        return ToValue(vy);
    }
    else if (zero || negative) {
        rb_raise(rb_eMathDomainError,
                 &quot;Zero or negative argument for log&quot;);
    }
    else if (vx == NULL) {
        cannot_be_coerced_into_BigDecimal(rb_eArgError, x);
    }
    x = ToValue(vx);

    RB_GC_GUARD(one) = ToValue(VpCreateRbObject(1, &quot;1&quot;));
    RB_GC_GUARD(two) = ToValue(VpCreateRbObject(1, &quot;2&quot;));

    n = prec + rmpd_double_figures();
    RB_GC_GUARD(vn) = SSIZET2NUM(n);
    expo = VpExponent10(vx);
    if (expo &lt; 0 || expo &gt;= 3) {
        char buf[16];
        snprintf(buf, 16, &quot;1E%&quot;PRIdVALUE, -expo);
        x = BigDecimal_mult2(x, ToValue(VpCreateRbObject(1, buf)), vn);
    }
    else {
        expo = 0;
    }
    w = BigDecimal_sub(x, one);
    argv[0] = BigDecimal_add(x, one);
    argv[1] = vn;
    x = BigDecimal_div2(2, argv, w);
    RB_GC_GUARD(x2) = BigDecimal_mult2(x, x, vn);
    RB_GC_GUARD(y)  = x;
    RB_GC_GUARD(d)  = y;
    i = 1;
    while (!VpIsZero((Real*)DATA_PTR(d))) {
        SIGNED_VALUE const ey = VpExponent10(DATA_PTR(y));
        SIGNED_VALUE const ed = VpExponent10(DATA_PTR(d));
        ssize_t m = n - vabs(ey - ed);
        if (m &lt;= 0) {
            break;
        }
        else if ((size_t)m &lt; rmpd_double_figures()) {
            m = rmpd_double_figures();
        }

        x = BigDecimal_mult2(x2, x, vn);
        i += 2;
        argv[0] = SSIZET2NUM(i);
        argv[1] = SSIZET2NUM(m);
        d = BigDecimal_div2(2, argv, x);
        y = BigDecimal_add(y, d);
    }

    y = BigDecimal_mult(y, two);
    if (expo != 0) {
        VALUE log10, vexpo, dy;
        log10 = BigMath_s_log(klass, INT2FIX(10), vprec);
        vexpo = ToValue(GetVpValue(SSIZET2NUM(expo), 1));
        dy = BigDecimal_mult(log10, vexpo);
        y = BigDecimal_add(y, dy);
    }

    return y;
}</pre>
          </div><!-- log-source -->
          
        </div>

        
      </div><!-- log-method -->

    
    </section><!-- public-class-method-details -->
  
     <section id="public-instance-5Buntitled-5D-method-details" class="method-section section">
      <h3 class="section-header">Public Instance Methods</h3>

    
      <div id="method-i-E" class="method-detail ">
        
        <div class="method-heading">
          <span class="method-name">E</span><span
            class="method-args">(prec)</span>
          
          <span class="method-click-advice">click to toggle source</span>
          
        </div>
        

        <div class="method-description">
          
          <p>Computes e (the base of natural logarithms) to the specified number of
digits of precision.</p>
          
          
          <div class="method-source-code" id="E-source">
            <pre><span class="ruby-comment"># File ext/bigdecimal/lib/bigdecimal/math.rb, line 188</span>
<span class="ruby-keyword">def</span> <span class="ruby-constant">E</span>(<span class="ruby-identifier">prec</span>)
  <span class="ruby-identifier">raise</span> <span class="ruby-constant">ArgumentError</span>, <span class="ruby-string">&quot;Zero or negative precision for E&quot;</span> <span class="ruby-keyword">if</span> <span class="ruby-identifier">prec</span> <span class="ruby-operator">&lt;=</span> <span class="ruby-value">0</span>
  <span class="ruby-identifier">n</span>    = <span class="ruby-identifier">prec</span> <span class="ruby-operator">+</span> <span class="ruby-constant">BigDecimal</span>.<span class="ruby-identifier">double_fig</span>
  <span class="ruby-identifier">one</span>  = <span class="ruby-constant">BigDecimal</span>(<span class="ruby-string">&quot;1&quot;</span>)
  <span class="ruby-identifier">y</span>  = <span class="ruby-identifier">one</span>
  <span class="ruby-identifier">d</span>  = <span class="ruby-identifier">y</span>
  <span class="ruby-identifier">z</span>  = <span class="ruby-identifier">one</span>
  <span class="ruby-identifier">i</span>  = <span class="ruby-value">0</span>
  <span class="ruby-keyword">while</span> <span class="ruby-identifier">d</span>.<span class="ruby-identifier">nonzero?</span> <span class="ruby-operator">&amp;&amp;</span> ((<span class="ruby-identifier">m</span> = <span class="ruby-identifier">n</span> <span class="ruby-operator">-</span> (<span class="ruby-identifier">y</span>.<span class="ruby-identifier">exponent</span> <span class="ruby-operator">-</span> <span class="ruby-identifier">d</span>.<span class="ruby-identifier">exponent</span>).<span class="ruby-identifier">abs</span>) <span class="ruby-operator">&gt;</span> <span class="ruby-value">0</span>)
    <span class="ruby-identifier">m</span> = <span class="ruby-constant">BigDecimal</span>.<span class="ruby-identifier">double_fig</span> <span class="ruby-keyword">if</span> <span class="ruby-identifier">m</span> <span class="ruby-operator">&lt;</span> <span class="ruby-constant">BigDecimal</span>.<span class="ruby-identifier">double_fig</span>
    <span class="ruby-identifier">i</span> <span class="ruby-operator">+=</span> <span class="ruby-value">1</span>
    <span class="ruby-identifier">z</span> <span class="ruby-operator">*=</span> <span class="ruby-identifier">i</span>
    <span class="ruby-identifier">d</span>  = <span class="ruby-identifier">one</span>.<span class="ruby-identifier">div</span>(<span class="ruby-identifier">z</span>,<span class="ruby-identifier">m</span>)
    <span class="ruby-identifier">y</span> <span class="ruby-operator">+=</span> <span class="ruby-identifier">d</span>
  <span class="ruby-keyword">end</span>
  <span class="ruby-identifier">y</span>
<span class="ruby-keyword">end</span></pre>
          </div><!-- E-source -->
          
        </div>

        
      </div><!-- E-method -->

    
      <div id="method-i-PI" class="method-detail ">
        
        <div class="method-heading">
          <span class="method-name">PI</span><span
            class="method-args">(prec)</span>
          
          <span class="method-click-advice">click to toggle source</span>
          
        </div>
        

        <div class="method-description">
          
          <p>Computes the value of pi to the specified number of digits of precision.</p>
          
          
          <div class="method-source-code" id="PI-source">
            <pre><span class="ruby-comment"># File ext/bigdecimal/lib/bigdecimal/math.rb, line 148</span>
<span class="ruby-keyword">def</span> <span class="ruby-constant">PI</span>(<span class="ruby-identifier">prec</span>)
  <span class="ruby-identifier">raise</span> <span class="ruby-constant">ArgumentError</span>, <span class="ruby-string">&quot;Zero or negative argument for PI&quot;</span> <span class="ruby-keyword">if</span> <span class="ruby-identifier">prec</span> <span class="ruby-operator">&lt;=</span> <span class="ruby-value">0</span>
  <span class="ruby-identifier">n</span>      = <span class="ruby-identifier">prec</span> <span class="ruby-operator">+</span> <span class="ruby-constant">BigDecimal</span>.<span class="ruby-identifier">double_fig</span>
  <span class="ruby-identifier">zero</span>   = <span class="ruby-constant">BigDecimal</span>(<span class="ruby-string">&quot;0&quot;</span>)
  <span class="ruby-identifier">one</span>    = <span class="ruby-constant">BigDecimal</span>(<span class="ruby-string">&quot;1&quot;</span>)
  <span class="ruby-identifier">two</span>    = <span class="ruby-constant">BigDecimal</span>(<span class="ruby-string">&quot;2&quot;</span>)

  <span class="ruby-identifier">m25</span>    = <span class="ruby-constant">BigDecimal</span>(<span class="ruby-string">&quot;-0.04&quot;</span>)
  <span class="ruby-identifier">m57121</span> = <span class="ruby-constant">BigDecimal</span>(<span class="ruby-string">&quot;-57121&quot;</span>)

  <span class="ruby-identifier">pi</span>     = <span class="ruby-identifier">zero</span>

  <span class="ruby-identifier">d</span> = <span class="ruby-identifier">one</span>
  <span class="ruby-identifier">k</span> = <span class="ruby-identifier">one</span>
  <span class="ruby-identifier">w</span> = <span class="ruby-identifier">one</span>
  <span class="ruby-identifier">t</span> = <span class="ruby-constant">BigDecimal</span>(<span class="ruby-string">&quot;-80&quot;</span>)
  <span class="ruby-keyword">while</span> <span class="ruby-identifier">d</span>.<span class="ruby-identifier">nonzero?</span> <span class="ruby-operator">&amp;&amp;</span> ((<span class="ruby-identifier">m</span> = <span class="ruby-identifier">n</span> <span class="ruby-operator">-</span> (<span class="ruby-identifier">pi</span>.<span class="ruby-identifier">exponent</span> <span class="ruby-operator">-</span> <span class="ruby-identifier">d</span>.<span class="ruby-identifier">exponent</span>).<span class="ruby-identifier">abs</span>) <span class="ruby-operator">&gt;</span> <span class="ruby-value">0</span>)
    <span class="ruby-identifier">m</span> = <span class="ruby-constant">BigDecimal</span>.<span class="ruby-identifier">double_fig</span> <span class="ruby-keyword">if</span> <span class="ruby-identifier">m</span> <span class="ruby-operator">&lt;</span> <span class="ruby-constant">BigDecimal</span>.<span class="ruby-identifier">double_fig</span>
    <span class="ruby-identifier">t</span>   = <span class="ruby-identifier">t</span><span class="ruby-operator">*</span><span class="ruby-identifier">m25</span>
    <span class="ruby-identifier">d</span>   = <span class="ruby-identifier">t</span>.<span class="ruby-identifier">div</span>(<span class="ruby-identifier">k</span>,<span class="ruby-identifier">m</span>)
    <span class="ruby-identifier">k</span>   = <span class="ruby-identifier">k</span><span class="ruby-operator">+</span><span class="ruby-identifier">two</span>
    <span class="ruby-identifier">pi</span>  = <span class="ruby-identifier">pi</span> <span class="ruby-operator">+</span> <span class="ruby-identifier">d</span>
  <span class="ruby-keyword">end</span>

  <span class="ruby-identifier">d</span> = <span class="ruby-identifier">one</span>
  <span class="ruby-identifier">k</span> = <span class="ruby-identifier">one</span>
  <span class="ruby-identifier">w</span> = <span class="ruby-identifier">one</span>
  <span class="ruby-identifier">t</span> = <span class="ruby-constant">BigDecimal</span>(<span class="ruby-string">&quot;956&quot;</span>)
  <span class="ruby-keyword">while</span> <span class="ruby-identifier">d</span>.<span class="ruby-identifier">nonzero?</span> <span class="ruby-operator">&amp;&amp;</span> ((<span class="ruby-identifier">m</span> = <span class="ruby-identifier">n</span> <span class="ruby-operator">-</span> (<span class="ruby-identifier">pi</span>.<span class="ruby-identifier">exponent</span> <span class="ruby-operator">-</span> <span class="ruby-identifier">d</span>.<span class="ruby-identifier">exponent</span>).<span class="ruby-identifier">abs</span>) <span class="ruby-operator">&gt;</span> <span class="ruby-value">0</span>)
    <span class="ruby-identifier">m</span> = <span class="ruby-constant">BigDecimal</span>.<span class="ruby-identifier">double_fig</span> <span class="ruby-keyword">if</span> <span class="ruby-identifier">m</span> <span class="ruby-operator">&lt;</span> <span class="ruby-constant">BigDecimal</span>.<span class="ruby-identifier">double_fig</span>
    <span class="ruby-identifier">t</span>   = <span class="ruby-identifier">t</span>.<span class="ruby-identifier">div</span>(<span class="ruby-identifier">m57121</span>,<span class="ruby-identifier">n</span>)
    <span class="ruby-identifier">d</span>   = <span class="ruby-identifier">t</span>.<span class="ruby-identifier">div</span>(<span class="ruby-identifier">k</span>,<span class="ruby-identifier">m</span>)
    <span class="ruby-identifier">pi</span>  = <span class="ruby-identifier">pi</span> <span class="ruby-operator">+</span> <span class="ruby-identifier">d</span>
    <span class="ruby-identifier">k</span>   = <span class="ruby-identifier">k</span><span class="ruby-operator">+</span><span class="ruby-identifier">two</span>
  <span class="ruby-keyword">end</span>
  <span class="ruby-identifier">pi</span>
<span class="ruby-keyword">end</span></pre>
          </div><!-- PI-source -->
          
        </div>

        
      </div><!-- PI-method -->

    
      <div id="method-i-atan" class="method-detail ">
        
        <div class="method-heading">
          <span class="method-name">atan</span><span
            class="method-args">(x, prec)</span>
          
          <span class="method-click-advice">click to toggle source</span>
          
        </div>
        

        <div class="method-description">
          
          <p>Computes the arctangent of x to the specified number of digits of
precision.</p>

<p>If x is NaN, returns NaN.</p>
          
          
          <div class="method-source-code" id="atan-source">
            <pre><span class="ruby-comment"># File ext/bigdecimal/lib/bigdecimal/math.rb, line 119</span>
<span class="ruby-keyword">def</span> <span class="ruby-identifier">atan</span>(<span class="ruby-identifier">x</span>, <span class="ruby-identifier">prec</span>)
  <span class="ruby-identifier">raise</span> <span class="ruby-constant">ArgumentError</span>, <span class="ruby-string">&quot;Zero or negative precision for atan&quot;</span> <span class="ruby-keyword">if</span> <span class="ruby-identifier">prec</span> <span class="ruby-operator">&lt;=</span> <span class="ruby-value">0</span>
  <span class="ruby-keyword">return</span> <span class="ruby-constant">BigDecimal</span>(<span class="ruby-string">&quot;NaN&quot;</span>) <span class="ruby-keyword">if</span> <span class="ruby-identifier">x</span>.<span class="ruby-identifier">nan?</span>
  <span class="ruby-identifier">pi</span> = <span class="ruby-constant">PI</span>(<span class="ruby-identifier">prec</span>)
  <span class="ruby-identifier">x</span> = <span class="ruby-operator">-</span><span class="ruby-identifier">x</span> <span class="ruby-keyword">if</span> <span class="ruby-identifier">neg</span> = <span class="ruby-identifier">x</span> <span class="ruby-operator">&lt;</span> <span class="ruby-value">0</span>
  <span class="ruby-keyword">return</span> <span class="ruby-identifier">pi</span>.<span class="ruby-identifier">div</span>(<span class="ruby-identifier">neg</span> <span class="ruby-operator">?</span> <span class="ruby-value">-2</span> <span class="ruby-operator">:</span> <span class="ruby-value">2</span>, <span class="ruby-identifier">prec</span>) <span class="ruby-keyword">if</span> <span class="ruby-identifier">x</span>.<span class="ruby-identifier">infinite?</span>
  <span class="ruby-keyword">return</span> <span class="ruby-identifier">pi</span> <span class="ruby-operator">/</span> (<span class="ruby-identifier">neg</span> <span class="ruby-operator">?</span> <span class="ruby-value">-4</span> <span class="ruby-operator">:</span> <span class="ruby-value">4</span>) <span class="ruby-keyword">if</span> <span class="ruby-identifier">x</span>.<span class="ruby-identifier">round</span>(<span class="ruby-identifier">prec</span>) <span class="ruby-operator">==</span> <span class="ruby-value">1</span>
  <span class="ruby-identifier">x</span> = <span class="ruby-constant">BigDecimal</span>(<span class="ruby-string">&quot;1&quot;</span>).<span class="ruby-identifier">div</span>(<span class="ruby-identifier">x</span>, <span class="ruby-identifier">prec</span>) <span class="ruby-keyword">if</span> <span class="ruby-identifier">inv</span> = <span class="ruby-identifier">x</span> <span class="ruby-operator">&gt;</span> <span class="ruby-value">1</span>
  <span class="ruby-identifier">x</span> = (<span class="ruby-value">-1</span> <span class="ruby-operator">+</span> <span class="ruby-identifier">sqrt</span>(<span class="ruby-value">1</span> <span class="ruby-operator">+</span> <span class="ruby-identifier">x</span><span class="ruby-operator">**</span><span class="ruby-value">2</span>, <span class="ruby-identifier">prec</span>))<span class="ruby-operator">/</span><span class="ruby-identifier">x</span> <span class="ruby-keyword">if</span> <span class="ruby-identifier">dbl</span> = <span class="ruby-identifier">x</span> <span class="ruby-operator">&gt;</span> <span class="ruby-value">0.5</span>
  <span class="ruby-identifier">n</span>    = <span class="ruby-identifier">prec</span> <span class="ruby-operator">+</span> <span class="ruby-constant">BigDecimal</span>.<span class="ruby-identifier">double_fig</span>
  <span class="ruby-identifier">y</span> = <span class="ruby-identifier">x</span>
  <span class="ruby-identifier">d</span> = <span class="ruby-identifier">y</span>
  <span class="ruby-identifier">t</span> = <span class="ruby-identifier">x</span>
  <span class="ruby-identifier">r</span> = <span class="ruby-constant">BigDecimal</span>(<span class="ruby-string">&quot;3&quot;</span>)
  <span class="ruby-identifier">x2</span> = <span class="ruby-identifier">x</span>.<span class="ruby-identifier">mult</span>(<span class="ruby-identifier">x</span>,<span class="ruby-identifier">n</span>)
  <span class="ruby-keyword">while</span> <span class="ruby-identifier">d</span>.<span class="ruby-identifier">nonzero?</span> <span class="ruby-operator">&amp;&amp;</span> ((<span class="ruby-identifier">m</span> = <span class="ruby-identifier">n</span> <span class="ruby-operator">-</span> (<span class="ruby-identifier">y</span>.<span class="ruby-identifier">exponent</span> <span class="ruby-operator">-</span> <span class="ruby-identifier">d</span>.<span class="ruby-identifier">exponent</span>).<span class="ruby-identifier">abs</span>) <span class="ruby-operator">&gt;</span> <span class="ruby-value">0</span>)
    <span class="ruby-identifier">m</span> = <span class="ruby-constant">BigDecimal</span>.<span class="ruby-identifier">double_fig</span> <span class="ruby-keyword">if</span> <span class="ruby-identifier">m</span> <span class="ruby-operator">&lt;</span> <span class="ruby-constant">BigDecimal</span>.<span class="ruby-identifier">double_fig</span>
    <span class="ruby-identifier">t</span> = <span class="ruby-operator">-</span><span class="ruby-identifier">t</span>.<span class="ruby-identifier">mult</span>(<span class="ruby-identifier">x2</span>,<span class="ruby-identifier">n</span>)
    <span class="ruby-identifier">d</span> = <span class="ruby-identifier">t</span>.<span class="ruby-identifier">div</span>(<span class="ruby-identifier">r</span>,<span class="ruby-identifier">m</span>)
    <span class="ruby-identifier">y</span> <span class="ruby-operator">+=</span> <span class="ruby-identifier">d</span>
    <span class="ruby-identifier">r</span> <span class="ruby-operator">+=</span> <span class="ruby-value">2</span>
  <span class="ruby-keyword">end</span>
  <span class="ruby-identifier">y</span> <span class="ruby-operator">*=</span> <span class="ruby-value">2</span> <span class="ruby-keyword">if</span> <span class="ruby-identifier">dbl</span>
  <span class="ruby-identifier">y</span> = <span class="ruby-identifier">pi</span> <span class="ruby-operator">/</span> <span class="ruby-value">2</span> <span class="ruby-operator">-</span> <span class="ruby-identifier">y</span> <span class="ruby-keyword">if</span> <span class="ruby-identifier">inv</span>
  <span class="ruby-identifier">y</span> = <span class="ruby-operator">-</span><span class="ruby-identifier">y</span> <span class="ruby-keyword">if</span> <span class="ruby-identifier">neg</span>
  <span class="ruby-identifier">y</span>
<span class="ruby-keyword">end</span></pre>
          </div><!-- atan-source -->
          
        </div>

        
      </div><!-- atan-method -->

    
      <div id="method-i-cos" class="method-detail ">
        
        <div class="method-heading">
          <span class="method-name">cos</span><span
            class="method-args">(x, prec)</span>
          
          <span class="method-click-advice">click to toggle source</span>
          
        </div>
        

        <div class="method-description">
          
          <p>Computes the cosine of x to the specified number of digits of precision.</p>

<p>If x is infinite or NaN, returns NaN.</p>
          
          
          <div class="method-source-code" id="cos-source">
            <pre><span class="ruby-comment"># File ext/bigdecimal/lib/bigdecimal/math.rb, line 83</span>
<span class="ruby-keyword">def</span> <span class="ruby-identifier">cos</span>(<span class="ruby-identifier">x</span>, <span class="ruby-identifier">prec</span>)
  <span class="ruby-identifier">raise</span> <span class="ruby-constant">ArgumentError</span>, <span class="ruby-string">&quot;Zero or negative precision for cos&quot;</span> <span class="ruby-keyword">if</span> <span class="ruby-identifier">prec</span> <span class="ruby-operator">&lt;=</span> <span class="ruby-value">0</span>
  <span class="ruby-keyword">return</span> <span class="ruby-constant">BigDecimal</span>(<span class="ruby-string">&quot;NaN&quot;</span>) <span class="ruby-keyword">if</span> <span class="ruby-identifier">x</span>.<span class="ruby-identifier">infinite?</span> <span class="ruby-operator">||</span> <span class="ruby-identifier">x</span>.<span class="ruby-identifier">nan?</span>
  <span class="ruby-identifier">n</span>    = <span class="ruby-identifier">prec</span> <span class="ruby-operator">+</span> <span class="ruby-constant">BigDecimal</span>.<span class="ruby-identifier">double_fig</span>
  <span class="ruby-identifier">one</span>  = <span class="ruby-constant">BigDecimal</span>(<span class="ruby-string">&quot;1&quot;</span>)
  <span class="ruby-identifier">two</span>  = <span class="ruby-constant">BigDecimal</span>(<span class="ruby-string">&quot;2&quot;</span>)
  <span class="ruby-identifier">x</span> = <span class="ruby-operator">-</span><span class="ruby-identifier">x</span> <span class="ruby-keyword">if</span> <span class="ruby-identifier">x</span> <span class="ruby-operator">&lt;</span> <span class="ruby-value">0</span>
  <span class="ruby-keyword">if</span> <span class="ruby-identifier">x</span> <span class="ruby-operator">&gt;</span> (<span class="ruby-identifier">twopi</span> = <span class="ruby-identifier">two</span> <span class="ruby-operator">*</span> <span class="ruby-constant">BigMath</span>.<span class="ruby-constant">PI</span>(<span class="ruby-identifier">prec</span>))
    <span class="ruby-keyword">if</span> <span class="ruby-identifier">x</span> <span class="ruby-operator">&gt;</span> <span class="ruby-value">30</span>
      <span class="ruby-identifier">x</span> <span class="ruby-operator">=</span> <span class="ruby-identifier">twopi</span>
    <span class="ruby-keyword">else</span>
      <span class="ruby-identifier">x</span> <span class="ruby-operator">-=</span> <span class="ruby-identifier">twopi</span> <span class="ruby-keyword">while</span> <span class="ruby-identifier">x</span> <span class="ruby-operator">&gt;</span> <span class="ruby-identifier">twopi</span>
    <span class="ruby-keyword">end</span>
  <span class="ruby-keyword">end</span>
  <span class="ruby-identifier">x1</span> = <span class="ruby-identifier">one</span>
  <span class="ruby-identifier">x2</span> = <span class="ruby-identifier">x</span>.<span class="ruby-identifier">mult</span>(<span class="ruby-identifier">x</span>,<span class="ruby-identifier">n</span>)
  <span class="ruby-identifier">sign</span> = <span class="ruby-value">1</span>
  <span class="ruby-identifier">y</span> = <span class="ruby-identifier">one</span>
  <span class="ruby-identifier">d</span> = <span class="ruby-identifier">y</span>
  <span class="ruby-identifier">i</span> = <span class="ruby-constant">BigDecimal</span>(<span class="ruby-string">&quot;0&quot;</span>)
  <span class="ruby-identifier">z</span> = <span class="ruby-identifier">one</span>
  <span class="ruby-keyword">while</span> <span class="ruby-identifier">d</span>.<span class="ruby-identifier">nonzero?</span> <span class="ruby-operator">&amp;&amp;</span> ((<span class="ruby-identifier">m</span> = <span class="ruby-identifier">n</span> <span class="ruby-operator">-</span> (<span class="ruby-identifier">y</span>.<span class="ruby-identifier">exponent</span> <span class="ruby-operator">-</span> <span class="ruby-identifier">d</span>.<span class="ruby-identifier">exponent</span>).<span class="ruby-identifier">abs</span>) <span class="ruby-operator">&gt;</span> <span class="ruby-value">0</span>)
    <span class="ruby-identifier">m</span> = <span class="ruby-constant">BigDecimal</span>.<span class="ruby-identifier">double_fig</span> <span class="ruby-keyword">if</span> <span class="ruby-identifier">m</span> <span class="ruby-operator">&lt;</span> <span class="ruby-constant">BigDecimal</span>.<span class="ruby-identifier">double_fig</span>
    <span class="ruby-identifier">sign</span> = <span class="ruby-operator">-</span><span class="ruby-identifier">sign</span>
    <span class="ruby-identifier">x1</span>  = <span class="ruby-identifier">x2</span>.<span class="ruby-identifier">mult</span>(<span class="ruby-identifier">x1</span>,<span class="ruby-identifier">n</span>)
    <span class="ruby-identifier">i</span>  <span class="ruby-operator">+=</span> <span class="ruby-identifier">two</span>
    <span class="ruby-identifier">z</span>  <span class="ruby-operator">*=</span> (<span class="ruby-identifier">i</span><span class="ruby-operator">-</span><span class="ruby-identifier">one</span>) <span class="ruby-operator">*</span> <span class="ruby-identifier">i</span>
    <span class="ruby-identifier">d</span>   = <span class="ruby-identifier">sign</span> <span class="ruby-operator">*</span> <span class="ruby-identifier">x1</span>.<span class="ruby-identifier">div</span>(<span class="ruby-identifier">z</span>,<span class="ruby-identifier">m</span>)
    <span class="ruby-identifier">y</span>  <span class="ruby-operator">+=</span> <span class="ruby-identifier">d</span>
  <span class="ruby-keyword">end</span>
  <span class="ruby-identifier">y</span>
<span class="ruby-keyword">end</span></pre>
          </div><!-- cos-source -->
          
        </div>

        
      </div><!-- cos-method -->

    
      <div id="method-i-sin" class="method-detail ">
        
        <div class="method-heading">
          <span class="method-name">sin</span><span
            class="method-args">(x, prec)</span>
          
          <span class="method-click-advice">click to toggle source</span>
          
        </div>
        

        <div class="method-description">
          
          <p>Computes the sine of x to the specified number of digits of precision.</p>

<p>If x is infinite or NaN, returns NaN.</p>
          
          
          <div class="method-source-code" id="sin-source">
            <pre><span class="ruby-comment"># File ext/bigdecimal/lib/bigdecimal/math.rb, line 47</span>
<span class="ruby-keyword">def</span> <span class="ruby-identifier">sin</span>(<span class="ruby-identifier">x</span>, <span class="ruby-identifier">prec</span>)
  <span class="ruby-identifier">raise</span> <span class="ruby-constant">ArgumentError</span>, <span class="ruby-string">&quot;Zero or negative precision for sin&quot;</span> <span class="ruby-keyword">if</span> <span class="ruby-identifier">prec</span> <span class="ruby-operator">&lt;=</span> <span class="ruby-value">0</span>
  <span class="ruby-keyword">return</span> <span class="ruby-constant">BigDecimal</span>(<span class="ruby-string">&quot;NaN&quot;</span>) <span class="ruby-keyword">if</span> <span class="ruby-identifier">x</span>.<span class="ruby-identifier">infinite?</span> <span class="ruby-operator">||</span> <span class="ruby-identifier">x</span>.<span class="ruby-identifier">nan?</span>
  <span class="ruby-identifier">n</span>    = <span class="ruby-identifier">prec</span> <span class="ruby-operator">+</span> <span class="ruby-constant">BigDecimal</span>.<span class="ruby-identifier">double_fig</span>
  <span class="ruby-identifier">one</span>  = <span class="ruby-constant">BigDecimal</span>(<span class="ruby-string">&quot;1&quot;</span>)
  <span class="ruby-identifier">two</span>  = <span class="ruby-constant">BigDecimal</span>(<span class="ruby-string">&quot;2&quot;</span>)
  <span class="ruby-identifier">x</span> = <span class="ruby-operator">-</span><span class="ruby-identifier">x</span> <span class="ruby-keyword">if</span> <span class="ruby-identifier">neg</span> = <span class="ruby-identifier">x</span> <span class="ruby-operator">&lt;</span> <span class="ruby-value">0</span>
  <span class="ruby-keyword">if</span> <span class="ruby-identifier">x</span> <span class="ruby-operator">&gt;</span> (<span class="ruby-identifier">twopi</span> = <span class="ruby-identifier">two</span> <span class="ruby-operator">*</span> <span class="ruby-constant">BigMath</span>.<span class="ruby-constant">PI</span>(<span class="ruby-identifier">prec</span>))
    <span class="ruby-keyword">if</span> <span class="ruby-identifier">x</span> <span class="ruby-operator">&gt;</span> <span class="ruby-value">30</span>
      <span class="ruby-identifier">x</span> <span class="ruby-operator">=</span> <span class="ruby-identifier">twopi</span>
    <span class="ruby-keyword">else</span>
      <span class="ruby-identifier">x</span> <span class="ruby-operator">-=</span> <span class="ruby-identifier">twopi</span> <span class="ruby-keyword">while</span> <span class="ruby-identifier">x</span> <span class="ruby-operator">&gt;</span> <span class="ruby-identifier">twopi</span>
    <span class="ruby-keyword">end</span>
  <span class="ruby-keyword">end</span>
  <span class="ruby-identifier">x1</span>   = <span class="ruby-identifier">x</span>
  <span class="ruby-identifier">x2</span>   = <span class="ruby-identifier">x</span>.<span class="ruby-identifier">mult</span>(<span class="ruby-identifier">x</span>,<span class="ruby-identifier">n</span>)
  <span class="ruby-identifier">sign</span> = <span class="ruby-value">1</span>
  <span class="ruby-identifier">y</span>    = <span class="ruby-identifier">x</span>
  <span class="ruby-identifier">d</span>    = <span class="ruby-identifier">y</span>
  <span class="ruby-identifier">i</span>    = <span class="ruby-identifier">one</span>
  <span class="ruby-identifier">z</span>    = <span class="ruby-identifier">one</span>
  <span class="ruby-keyword">while</span> <span class="ruby-identifier">d</span>.<span class="ruby-identifier">nonzero?</span> <span class="ruby-operator">&amp;&amp;</span> ((<span class="ruby-identifier">m</span> = <span class="ruby-identifier">n</span> <span class="ruby-operator">-</span> (<span class="ruby-identifier">y</span>.<span class="ruby-identifier">exponent</span> <span class="ruby-operator">-</span> <span class="ruby-identifier">d</span>.<span class="ruby-identifier">exponent</span>).<span class="ruby-identifier">abs</span>) <span class="ruby-operator">&gt;</span> <span class="ruby-value">0</span>)
    <span class="ruby-identifier">m</span> = <span class="ruby-constant">BigDecimal</span>.<span class="ruby-identifier">double_fig</span> <span class="ruby-keyword">if</span> <span class="ruby-identifier">m</span> <span class="ruby-operator">&lt;</span> <span class="ruby-constant">BigDecimal</span>.<span class="ruby-identifier">double_fig</span>
    <span class="ruby-identifier">sign</span> = <span class="ruby-operator">-</span><span class="ruby-identifier">sign</span>
    <span class="ruby-identifier">x1</span>  = <span class="ruby-identifier">x2</span>.<span class="ruby-identifier">mult</span>(<span class="ruby-identifier">x1</span>,<span class="ruby-identifier">n</span>)
    <span class="ruby-identifier">i</span>  <span class="ruby-operator">+=</span> <span class="ruby-identifier">two</span>
    <span class="ruby-identifier">z</span>  <span class="ruby-operator">*=</span> (<span class="ruby-identifier">i</span><span class="ruby-operator">-</span><span class="ruby-identifier">one</span>) <span class="ruby-operator">*</span> <span class="ruby-identifier">i</span>
    <span class="ruby-identifier">d</span>   = <span class="ruby-identifier">sign</span> <span class="ruby-operator">*</span> <span class="ruby-identifier">x1</span>.<span class="ruby-identifier">div</span>(<span class="ruby-identifier">z</span>,<span class="ruby-identifier">m</span>)
    <span class="ruby-identifier">y</span>  <span class="ruby-operator">+=</span> <span class="ruby-identifier">d</span>
  <span class="ruby-keyword">end</span>
  <span class="ruby-identifier">neg</span> <span class="ruby-operator">?</span> <span class="ruby-operator">-</span><span class="ruby-identifier">y</span> <span class="ruby-operator">:</span> <span class="ruby-identifier">y</span>
<span class="ruby-keyword">end</span></pre>
          </div><!-- sin-source -->
          
        </div>

        
      </div><!-- sin-method -->

    
      <div id="method-i-sqrt" class="method-detail ">
        
        <div class="method-heading">
          <span class="method-name">sqrt</span><span
            class="method-args">(x,prec)</span>
          
          <span class="method-click-advice">click to toggle source</span>
          
        </div>
        

        <div class="method-description">
          
          <p>Computes the square root of x to the specified number of digits of
precision.</p>

<p><a
href="BigDecimal.html#method-c-new">BigDecimal.new</a>(&#39;2&#39;).sqrt(16).to_s</p>

<pre>-&gt; &quot;0.14142135623730950488016887242096975E1&quot;</pre>
          
          
          <div class="method-source-code" id="sqrt-source">
            <pre><span class="ruby-comment"># File ext/bigdecimal/lib/bigdecimal/math.rb, line 40</span>
<span class="ruby-keyword">def</span> <span class="ruby-identifier">sqrt</span>(<span class="ruby-identifier">x</span>,<span class="ruby-identifier">prec</span>)
  <span class="ruby-identifier">x</span>.<span class="ruby-identifier">sqrt</span>(<span class="ruby-identifier">prec</span>)
<span class="ruby-keyword">end</span></pre>
          </div><!-- sqrt-source -->
          
        </div>

        
      </div><!-- sqrt-method -->

    
    </section><!-- public-instance-method-details -->
  
  </section><!-- 5Buntitled-5D -->

</div><!-- documentation -->


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