941 lines
43 KiB
Swift
941 lines
43 KiB
Swift
//
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// Created by Mike Griebling on 2022-12-31.
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// Translated from an Objective-C implementation by Kostub Deshmukh.
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//
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// This software may be modified and distributed under the terms of the
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// MIT license. See the LICENSE file for details.
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//
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import Foundation
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/** A factory to create commonly used MTMathAtoms. */
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public class MTMathAtomFactory {
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public static let aliases = [
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"lnot" : "neg",
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"land" : "wedge",
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"lor" : "vee",
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"ne" : "neq",
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"le" : "leq",
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"ge" : "geq",
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"lbrace" : "{",
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"rbrace" : "}",
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"Vert" : "|",
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"gets" : "leftarrow",
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"to" : "rightarrow",
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"iff" : "Longleftrightarrow",
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"AA" : "angstrom"
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]
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public static let delimiters = [
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"." : "", // . means no delimiter
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"(" : "(",
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")" : ")",
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"[" : "[",
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"]" : "]",
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"<" : "\u{2329}",
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">" : "\u{232A}",
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"/" : "/",
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"\\" : "\\",
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"|" : "|",
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"lgroup" : "\u{27EE}",
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"rgroup" : "\u{27EF}",
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"||" : "\u{2016}",
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"Vert" : "\u{2016}",
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"vert" : "|",
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"uparrow" : "\u{2191}",
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"downarrow" : "\u{2193}",
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"updownarrow" : "\u{2195}",
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"Uparrow" : "\u{21D1}",
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"Downarrow" : "\u{21D3}",
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"Updownarrow" : "\u{21D5}",
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"backslash" : "\\",
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"rangle" : "\u{232A}",
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"langle" : "\u{2329}",
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"rbrace" : "}",
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"}" : "}",
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"{" : "{",
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"lbrace" : "{",
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"lceil" : "\u{2308}",
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"rceil" : "\u{2309}",
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"lfloor" : "\u{230A}",
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"rfloor" : "\u{230B}"
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]
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private static let delimValueLock = NSLock()
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static var _delimValueToName = [String: String]()
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public static var delimValueToName: [String: String] {
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if _delimValueToName.isEmpty {
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var output = [String: String]()
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for (key, value) in Self.delimiters {
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if let existingValue = output[value] {
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if key.count > existingValue.count {
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continue
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} else if key.count == existingValue.count {
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if key.compare(existingValue) == .orderedDescending {
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continue
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}
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}
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}
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output[value] = key
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}
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// protect lazily loading table in a multi-thread concurrent environment
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delimValueLock.lock()
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defer { delimValueLock.unlock() }
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if _delimValueToName.isEmpty {
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_delimValueToName = output
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}
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}
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return _delimValueToName
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}
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public static let accents = [
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"grave" : "\u{0300}",
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"acute" : "\u{0301}",
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"hat" : "\u{0302}", // In our implementation hat and widehat behave the same.
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"tilde" : "\u{0303}", // In our implementation tilde and widetilde behave the same.
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"bar" : "\u{0304}",
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"breve" : "\u{0306}",
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"dot" : "\u{0307}",
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"ddot" : "\u{0308}",
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"check" : "\u{030C}",
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"vec" : "\u{20D7}",
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"widehat" : "\u{0302}",
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"widetilde" : "\u{0303}"
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]
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private static let accentValueLock = NSLock()
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static var _accentValueToName: [String: String]? = nil
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public static var accentValueToName: [String: String] {
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if _accentValueToName == nil {
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var output = [String: String]()
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for (key, value) in Self.accents {
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if let existingValue = output[value] {
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if key.count > existingValue.count {
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continue
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} else if key.count == existingValue.count {
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if key.compare(existingValue) == .orderedDescending {
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continue
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}
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}
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}
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output[value] = key
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}
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// protect lazily loading table in a multi-thread concurrent environment
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accentValueLock.lock()
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defer { accentValueLock.unlock() }
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if _accentValueToName == nil {
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_accentValueToName = output
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}
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}
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return _accentValueToName!
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}
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static var supportedLatexSymbolNames:[String] {
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let commands = MTMathAtomFactory.supportedLatexSymbols
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return commands.keys.map { String($0) }
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}
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static var supportedLatexSymbols: [String: MTMathAtom] = [
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"square" : MTMathAtomFactory.placeholder(),
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// Greek characters
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"alpha" : MTMathAtom(type: .variable, value: "\u{03B1}"),
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"beta" : MTMathAtom(type: .variable, value: "\u{03B2}"),
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"gamma" : MTMathAtom(type: .variable, value: "\u{03B3}"),
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"delta" : MTMathAtom(type: .variable, value: "\u{03B4}"),
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"varepsilon" : MTMathAtom(type: .variable, value: "\u{03B5}"),
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"zeta" : MTMathAtom(type: .variable, value: "\u{03B6}"),
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"eta" : MTMathAtom(type: .variable, value: "\u{03B7}"),
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"theta" : MTMathAtom(type: .variable, value: "\u{03B8}"),
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"iota" : MTMathAtom(type: .variable, value: "\u{03B9}"),
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"kappa" : MTMathAtom(type: .variable, value: "\u{03BA}"),
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"lambda" : MTMathAtom(type: .variable, value: "\u{03BB}"),
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"mu" : MTMathAtom(type: .variable, value: "\u{03BC}"),
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"nu" : MTMathAtom(type: .variable, value: "\u{03BD}"),
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"xi" : MTMathAtom(type: .variable, value: "\u{03BE}"),
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"omicron" : MTMathAtom(type: .variable, value: "\u{03BF}"),
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"pi" : MTMathAtom(type: .variable, value: "\u{03C0}"),
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"rho" : MTMathAtom(type: .variable, value: "\u{03C1}"),
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"varsigma" : MTMathAtom(type: .variable, value: "\u{03C1}"),
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"sigma" : MTMathAtom(type: .variable, value: "\u{03C3}"),
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"tau" : MTMathAtom(type: .variable, value: "\u{03C4}"),
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"upsilon" : MTMathAtom(type: .variable, value: "\u{03C5}"),
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"varphi" : MTMathAtom(type: .variable, value: "\u{03C6}"),
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"chi" : MTMathAtom(type: .variable, value: "\u{03C7}"),
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"psi" : MTMathAtom(type: .variable, value: "\u{03C8}"),
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"omega" : MTMathAtom(type: .variable, value: "\u{03C9}"),
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// We mark the following greek chars as ordinary so that we don't try
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// to automatically italicize them as we do with variables.
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// These characters fall outside the rules of italicization that we have defined.
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"epsilon" : MTMathAtom(type: .ordinary, value: "\u{0001D716}"),
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"vartheta" : MTMathAtom(type: .ordinary, value: "\u{0001D717}"),
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"phi" : MTMathAtom(type: .ordinary, value: "\u{0001D719}"),
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"varrho" : MTMathAtom(type: .ordinary, value: "\u{0001D71A}"),
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"varpi" : MTMathAtom(type: .ordinary, value: "\u{0001D71B}"),
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// Capital greek characters
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"Gamma" : MTMathAtom(type: .variable, value: "\u{0393}"),
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"Delta" : MTMathAtom(type: .variable, value: "\u{0394}"),
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"Theta" : MTMathAtom(type: .variable, value: "\u{0398}"),
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"Lambda" : MTMathAtom(type: .variable, value: "\u{039B}"),
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"Xi" : MTMathAtom(type: .variable, value: "\u{039E}"),
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"Pi" : MTMathAtom(type: .variable, value: "\u{03A0}"),
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"Sigma" : MTMathAtom(type: .variable, value: "\u{03A3}"),
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"Upsilon" : MTMathAtom(type: .variable, value: "\u{03A5}"),
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"Phi" : MTMathAtom(type: .variable, value: "\u{03A6}"),
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"Psi" : MTMathAtom(type: .variable, value: "\u{03A8}"),
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"Omega" : MTMathAtom(type: .variable, value: "\u{03A9}"),
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// Open
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"lceil" : MTMathAtom(type: .open, value: "\u{2308}"),
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"lfloor" : MTMathAtom(type: .open, value: "\u{230A}"),
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"langle" : MTMathAtom(type: .open, value: "\u{27E8}"),
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"lgroup" : MTMathAtom(type: .open, value: "\u{27EE}"),
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// Close
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"rceil" : MTMathAtom(type: .close, value: "\u{2309}"),
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"rfloor" : MTMathAtom(type: .close, value: "\u{230B}"),
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"rangle" : MTMathAtom(type: .close, value: "\u{27E9}"),
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"rgroup" : MTMathAtom(type: .close, value: "\u{27EF}"),
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// Arrows
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"leftarrow" : MTMathAtom(type: .relation, value: "\u{2190}"),
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"uparrow" : MTMathAtom(type: .relation, value: "\u{2191}"),
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"rightarrow" : MTMathAtom(type: .relation, value: "\u{2192}"),
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"downarrow" : MTMathAtom(type: .relation, value: "\u{2193}"),
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"leftrightarrow" : MTMathAtom(type: .relation, value: "\u{2194}"),
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"updownarrow" : MTMathAtom(type: .relation, value: "\u{2195}"),
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"nwarrow" : MTMathAtom(type: .relation, value: "\u{2196}"),
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"nearrow" : MTMathAtom(type: .relation, value: "\u{2197}"),
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"searrow" : MTMathAtom(type: .relation, value: "\u{2198}"),
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"swarrow" : MTMathAtom(type: .relation, value: "\u{2199}"),
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"mapsto" : MTMathAtom(type: .relation, value: "\u{21A6}"),
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"Leftarrow" : MTMathAtom(type: .relation, value: "\u{21D0}"),
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"Uparrow" : MTMathAtom(type: .relation, value: "\u{21D1}"),
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"Rightarrow" : MTMathAtom(type: .relation, value: "\u{21D2}"),
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"Downarrow" : MTMathAtom(type: .relation, value: "\u{21D3}"),
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"Leftrightarrow" : MTMathAtom(type: .relation, value: "\u{21D4}"),
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"Updownarrow" : MTMathAtom(type: .relation, value: "\u{21D5}"),
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"longleftarrow" : MTMathAtom(type: .relation, value: "\u{27F5}"),
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"longrightarrow" : MTMathAtom(type: .relation, value: "\u{27F6}"),
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"longleftrightarrow" : MTMathAtom(type: .relation, value: "\u{27F7}"),
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"Longleftarrow" : MTMathAtom(type: .relation, value: "\u{27F8}"),
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"Longrightarrow" : MTMathAtom(type: .relation, value: "\u{27F9}"),
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"Longleftrightarrow" : MTMathAtom(type: .relation, value: "\u{27FA}"),
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// Relations
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"leq" : MTMathAtom(type: .relation, value: UnicodeSymbol.lessEqual),
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"geq" : MTMathAtom(type: .relation, value: UnicodeSymbol.greaterEqual),
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"neq" : MTMathAtom(type: .relation, value: UnicodeSymbol.notEqual),
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"in" : MTMathAtom(type: .relation, value: "\u{2208}"),
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"notin" : MTMathAtom(type: .relation, value: "\u{2209}"),
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"ni" : MTMathAtom(type: .relation, value: "\u{220B}"),
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"propto" : MTMathAtom(type: .relation, value: "\u{221D}"),
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"mid" : MTMathAtom(type: .relation, value: "\u{2223}"),
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"parallel" : MTMathAtom(type: .relation, value: "\u{2225}"),
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"sim" : MTMathAtom(type: .relation, value: "\u{223C}"),
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"simeq" : MTMathAtom(type: .relation, value: "\u{2243}"),
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"cong" : MTMathAtom(type: .relation, value: "\u{2245}"),
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"approx" : MTMathAtom(type: .relation, value: "\u{2248}"),
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"asymp" : MTMathAtom(type: .relation, value: "\u{224D}"),
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"doteq" : MTMathAtom(type: .relation, value: "\u{2250}"),
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"equiv" : MTMathAtom(type: .relation, value: "\u{2261}"),
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"gg" : MTMathAtom(type: .relation, value: "\u{226B}"),
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"ll" : MTMathAtom(type: .relation, value: "\u{226A}"),
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"prec" : MTMathAtom(type: .relation, value: "\u{227A}"),
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"succ" : MTMathAtom(type: .relation, value: "\u{227B}"),
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"subset" : MTMathAtom(type: .relation, value: "\u{2282}"),
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"supset" : MTMathAtom(type: .relation, value: "\u{2283}"),
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"subseteq" : MTMathAtom(type: .relation, value: "\u{2286}"),
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"supseteq" : MTMathAtom(type: .relation, value: "\u{2287}"),
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"sqsubset" : MTMathAtom(type: .relation, value: "\u{228F}"),
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"sqsupset" : MTMathAtom(type: .relation, value: "\u{2290}"),
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"sqsubseteq" : MTMathAtom(type: .relation, value: "\u{2291}"),
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"sqsupseteq" : MTMathAtom(type: .relation, value: "\u{2292}"),
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"models" : MTMathAtom(type: .relation, value: "\u{22A7}"),
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"perp" : MTMathAtom(type: .relation, value: "\u{27C2}"),
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"implies" : MTMathAtom(type: .relation, value: "\u{27F9}"),
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// operators
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"times" : MTMathAtomFactory.times(),
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"div" : MTMathAtomFactory.divide(),
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"pm" : MTMathAtom(type: .binaryOperator, value: "\u{00B1}"),
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"dagger" : MTMathAtom(type: .binaryOperator, value: "\u{2020}"),
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"ddagger" : MTMathAtom(type: .binaryOperator, value: "\u{2021}"),
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"mp" : MTMathAtom(type: .binaryOperator, value: "\u{2213}"),
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"setminus" : MTMathAtom(type: .binaryOperator, value: "\u{2216}"),
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"ast" : MTMathAtom(type: .binaryOperator, value: "\u{2217}"),
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"circ" : MTMathAtom(type: .binaryOperator, value: "\u{2218}"),
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"bullet" : MTMathAtom(type: .binaryOperator, value: "\u{2219}"),
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"wedge" : MTMathAtom(type: .binaryOperator, value: "\u{2227}"),
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"vee" : MTMathAtom(type: .binaryOperator, value: "\u{2228}"),
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"cap" : MTMathAtom(type: .binaryOperator, value: "\u{2229}"),
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"cup" : MTMathAtom(type: .binaryOperator, value: "\u{222A}"),
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"wr" : MTMathAtom(type: .binaryOperator, value: "\u{2240}"),
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"uplus" : MTMathAtom(type: .binaryOperator, value: "\u{228E}"),
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"sqcap" : MTMathAtom(type: .binaryOperator, value: "\u{2293}"),
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"sqcup" : MTMathAtom(type: .binaryOperator, value: "\u{2294}"),
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"oplus" : MTMathAtom(type: .binaryOperator, value: "\u{2295}"),
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"ominus" : MTMathAtom(type: .binaryOperator, value: "\u{2296}"),
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"otimes" : MTMathAtom(type: .binaryOperator, value: "\u{2297}"),
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"oslash" : MTMathAtom(type: .binaryOperator, value: "\u{2298}"),
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"odot" : MTMathAtom(type: .binaryOperator, value: "\u{2299}"),
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"star" : MTMathAtom(type: .binaryOperator, value: "\u{22C6}"),
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"cdot" : MTMathAtom(type: .binaryOperator, value: "\u{22C5}"),
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"amalg" : MTMathAtom(type: .binaryOperator, value: "\u{2A3F}"),
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// No limit operators
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"log" : MTMathAtomFactory.operatorWithName( "log", limits: false),
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"lg" : MTMathAtomFactory.operatorWithName( "lg", limits: false),
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"ln" : MTMathAtomFactory.operatorWithName( "ln", limits: false),
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"sin" : MTMathAtomFactory.operatorWithName( "sin", limits: false),
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"arcsin" : MTMathAtomFactory.operatorWithName( "arcsin", limits: false),
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"sinh" : MTMathAtomFactory.operatorWithName( "sinh", limits: false),
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"cos" : MTMathAtomFactory.operatorWithName( "cos", limits: false),
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"arccos" : MTMathAtomFactory.operatorWithName( "arccos", limits: false),
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"cosh" : MTMathAtomFactory.operatorWithName( "cosh", limits: false),
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"tan" : MTMathAtomFactory.operatorWithName( "tan", limits: false),
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"arctan" : MTMathAtomFactory.operatorWithName( "arctan", limits: false),
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"tanh" : MTMathAtomFactory.operatorWithName( "tanh", limits: false),
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"cot" : MTMathAtomFactory.operatorWithName( "cot", limits: false),
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"coth" : MTMathAtomFactory.operatorWithName( "coth", limits: false),
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"sec" : MTMathAtomFactory.operatorWithName( "sec", limits: false),
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"csc" : MTMathAtomFactory.operatorWithName( "csc", limits: false),
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"arg" : MTMathAtomFactory.operatorWithName( "arg", limits: false),
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"ker" : MTMathAtomFactory.operatorWithName( "ker", limits: false),
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"dim" : MTMathAtomFactory.operatorWithName( "dim", limits: false),
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"hom" : MTMathAtomFactory.operatorWithName( "hom", limits: false),
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"exp" : MTMathAtomFactory.operatorWithName( "exp", limits: false),
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"deg" : MTMathAtomFactory.operatorWithName( "deg", limits: false),
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"mod" : MTMathAtomFactory.operatorWithName("mod", limits: false),
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// Limit operators
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"lim" : MTMathAtomFactory.operatorWithName( "lim", limits: true),
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"limsup" : MTMathAtomFactory.operatorWithName( "lim sup", limits: true),
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"liminf" : MTMathAtomFactory.operatorWithName( "lim inf", limits: true),
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"max" : MTMathAtomFactory.operatorWithName( "max", limits: true),
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"min" : MTMathAtomFactory.operatorWithName( "min", limits: true),
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"sup" : MTMathAtomFactory.operatorWithName( "sup", limits: true),
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"inf" : MTMathAtomFactory.operatorWithName( "inf", limits: true),
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"det" : MTMathAtomFactory.operatorWithName( "det", limits: true),
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"Pr" : MTMathAtomFactory.operatorWithName( "Pr", limits: true),
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"gcd" : MTMathAtomFactory.operatorWithName( "gcd", limits: true),
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// Large operators
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"prod" : MTMathAtomFactory.operatorWithName( "\u{220F}", limits: true),
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"coprod" : MTMathAtomFactory.operatorWithName( "\u{2210}", limits: true),
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"sum" : MTMathAtomFactory.operatorWithName( "\u{2211}", limits: true),
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"int" : MTMathAtomFactory.operatorWithName( "\u{222B}", limits: false),
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"iint" : MTMathAtomFactory.operatorWithName( "\u{222C}", limits: false),
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"iiint" : MTMathAtomFactory.operatorWithName( "\u{222D}", limits: false),
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"oint" : MTMathAtomFactory.operatorWithName( "\u{222E}", limits: false),
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"bigwedge" : MTMathAtomFactory.operatorWithName( "\u{22C0}", limits: true),
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"bigvee" : MTMathAtomFactory.operatorWithName( "\u{22C1}", limits: true),
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"bigcap" : MTMathAtomFactory.operatorWithName( "\u{22C2}", limits: true),
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"bigcup" : MTMathAtomFactory.operatorWithName( "\u{22C3}", limits: true),
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"bigodot" : MTMathAtomFactory.operatorWithName( "\u{2A00}", limits: true),
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"bigoplus" : MTMathAtomFactory.operatorWithName( "\u{2A01}", limits: true),
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"bigotimes" : MTMathAtomFactory.operatorWithName( "\u{2A02}", limits: true),
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"biguplus" : MTMathAtomFactory.operatorWithName( "\u{2A04}", limits: true),
|
|
"bigsqcup" : MTMathAtomFactory.operatorWithName( "\u{2A06}", limits: true),
|
|
|
|
// Latex command characters
|
|
"{" : MTMathAtom(type: .open, value: "{"),
|
|
"}" : MTMathAtom(type: .close, value: "}"),
|
|
"$" : MTMathAtom(type: .ordinary, value: "$"),
|
|
"&" : MTMathAtom(type: .ordinary, value: "&"),
|
|
"#" : MTMathAtom(type: .ordinary, value: "#"),
|
|
"%" : MTMathAtom(type: .ordinary, value: "%"),
|
|
"_" : MTMathAtom(type: .ordinary, value: "_"),
|
|
" " : MTMathAtom(type: .ordinary, value: " "),
|
|
"backslash" : MTMathAtom(type: .ordinary, value: "\\"),
|
|
|
|
// Punctuation
|
|
// Note: \colon is different from : which is a relation
|
|
"colon" : MTMathAtom(type: .punctuation, value: ":"),
|
|
"cdotp" : MTMathAtom(type: .punctuation, value: "\u{00B7}"),
|
|
|
|
// Other symbols
|
|
"degree" : MTMathAtom(type: .ordinary, value: "\u{00B0}"),
|
|
"neg" : MTMathAtom(type: .ordinary, value: "\u{00AC}"),
|
|
"angstrom" : MTMathAtom(type: .ordinary, value: "\u{00C5}"),
|
|
"aa" : MTMathAtom(type: .ordinary, value: "\u{00E5}"), // NEW å
|
|
"ae" : MTMathAtom(type: .ordinary, value: "\u{00E6}"), // NEW æ
|
|
"o" : MTMathAtom(type: .ordinary, value: "\u{00F8}"), // NEW ø
|
|
"oe" : MTMathAtom(type: .ordinary, value: "\u{0153}"), // NEW œ
|
|
"ss" : MTMathAtom(type: .ordinary, value: "\u{00DF}"), // NEW ß
|
|
"cc" : MTMathAtom(type: .ordinary, value: "\u{00E7}"), // NEW ç
|
|
"CC" : MTMathAtom(type: .ordinary, value: "\u{00C7}"), // NEW Ç
|
|
"O" : MTMathAtom(type: .ordinary, value: "\u{00D8}"), // NEW Ø
|
|
"AE" : MTMathAtom(type: .ordinary, value: "\u{00C6}"), // NEW Æ
|
|
"OE" : MTMathAtom(type: .ordinary, value: "\u{0152}"), // NEW Œ
|
|
"|" : MTMathAtom(type: .ordinary, value: "\u{2016}"),
|
|
"vert" : MTMathAtom(type: .ordinary, value: "|"),
|
|
"ldots" : MTMathAtom(type: .ordinary, value: "\u{2026}"),
|
|
"prime" : MTMathAtom(type: .ordinary, value: "\u{2032}"),
|
|
"hbar" : MTMathAtom(type: .ordinary, value: "\u{210F}"),
|
|
"lbar" : MTMathAtom(type: .ordinary, value: "\u{019B}"), // NEW ƛ
|
|
"Im" : MTMathAtom(type: .ordinary, value: "\u{2111}"),
|
|
"ell" : MTMathAtom(type: .ordinary, value: "\u{2113}"),
|
|
"wp" : MTMathAtom(type: .ordinary, value: "\u{2118}"),
|
|
"Re" : MTMathAtom(type: .ordinary, value: "\u{211C}"),
|
|
"mho" : MTMathAtom(type: .ordinary, value: "\u{2127}"),
|
|
"aleph" : MTMathAtom(type: .ordinary, value: "\u{2135}"),
|
|
"forall" : MTMathAtom(type: .ordinary, value: "\u{2200}"),
|
|
"exists" : MTMathAtom(type: .ordinary, value: "\u{2203}"),
|
|
"nexists" : MTMathAtom(type: .ordinary, value: "\u{2204}"),
|
|
"emptyset" : MTMathAtom(type: .ordinary, value: "\u{2205}"),
|
|
"nabla" : MTMathAtom(type: .ordinary, value: "\u{2207}"),
|
|
"infty" : MTMathAtom(type: .ordinary, value: "\u{221E}"),
|
|
"angle" : MTMathAtom(type: .ordinary, value: "\u{2220}"),
|
|
"top" : MTMathAtom(type: .ordinary, value: "\u{22A4}"),
|
|
"bot" : MTMathAtom(type: .ordinary, value: "\u{22A5}"),
|
|
"vdots" : MTMathAtom(type: .ordinary, value: "\u{22EE}"),
|
|
"cdots" : MTMathAtom(type: .ordinary, value: "\u{22EF}"),
|
|
"ddots" : MTMathAtom(type: .ordinary, value: "\u{22F1}"),
|
|
"triangle" : MTMathAtom(type: .ordinary, value: "\u{25B3}"),
|
|
"imath" : MTMathAtom(type: .ordinary, value: "\u{0001D6A4}"),
|
|
"jmath" : MTMathAtom(type: .ordinary, value: "\u{0001D6A5}"),
|
|
"upquote" : MTMathAtom(type: .ordinary, value: "\u{0027}"),
|
|
"partial" : MTMathAtom(type: .ordinary, value: "\u{0001D715}"),
|
|
|
|
// Spacing
|
|
"," : MTMathSpace(space: 3),
|
|
">" : MTMathSpace(space: 4),
|
|
";" : MTMathSpace(space: 5),
|
|
"!" : MTMathSpace(space: -3),
|
|
"quad" : MTMathSpace(space: 18), // quad = 1em = 18mu
|
|
"qquad" : MTMathSpace(space: 36), // qquad = 2em
|
|
|
|
// Style
|
|
"displaystyle" : MTMathStyle(style: .display),
|
|
"textstyle" : MTMathStyle(style: .text),
|
|
"scriptstyle" : MTMathStyle(style: .script),
|
|
"scriptscriptstyle" : MTMathStyle(style: .scriptOfScript),
|
|
]
|
|
|
|
static var supportedAccentedCharacters: [Character: (String, String)] = [
|
|
// Acute accents
|
|
"á": ("acute", "a"), "é": ("acute", "e"), "í": ("acute", "i"),
|
|
"ó": ("acute", "o"), "ú": ("acute", "u"), "ý": ("acute", "y"),
|
|
|
|
// Grave accents
|
|
"à": ("grave", "a"), "è": ("grave", "e"), "ì": ("grave", "i"),
|
|
"ò": ("grave", "o"), "ù": ("grave", "u"),
|
|
|
|
// Circumflex
|
|
"â": ("hat", "a"), "ê": ("hat", "e"), "î": ("hat", "i"),
|
|
"ô": ("hat", "o"), "û": ("hat", "u"),
|
|
|
|
// Umlaut/dieresis
|
|
"ä": ("ddot", "a"), "ë": ("ddot", "e"), "ï": ("ddot", "i"),
|
|
"ö": ("ddot", "o"), "ü": ("ddot", "u"), "ÿ": ("ddot", "y"),
|
|
|
|
// Tilde
|
|
"ã": ("tilde", "a"), "ñ": ("tilde", "n"), "õ": ("tilde", "o"),
|
|
|
|
// Special characters
|
|
"ç": ("cc", ""), "ø": ("o", ""), "å": ("aa", ""), "æ": ("ae", ""),
|
|
"œ": ("oe", ""), "ß": ("ss", ""),
|
|
"'": ("upquote", ""), // this may be dangerous in math mode
|
|
|
|
// Upper case variants
|
|
"Á": ("acute", "A"), "É": ("acute", "E"), "Í": ("acute", "I"),
|
|
"Ó": ("acute", "O"), "Ú": ("acute", "U"), "Ý": ("acute", "Y"),
|
|
"À": ("grave", "A"), "È": ("grave", "E"), "Ì": ("grave", "I"),
|
|
"Ò": ("grave", "O"), "Ù": ("grave", "U"),
|
|
"Â": ("hat", "A"), "Ê": ("hat", "E"), "Î": ("hat", "I"),
|
|
"Ô": ("hat", "O"), "Û": ("hat", "U"),
|
|
"Ä": ("ddot", "A"), "Ë": ("ddot", "E"), "Ï": ("ddot", "I"),
|
|
"Ö": ("ddot", "O"), "Ü": ("ddot", "U"),
|
|
"Ã": ("tilde", "A"), "Ñ": ("tilde", "N"), "Õ": ("tilde", "O"),
|
|
"Ç": ("CC", ""),
|
|
"Ø": ("O", ""),
|
|
"Å": ("AA", ""),
|
|
"Æ": ("AE", ""),
|
|
"Œ": ("OE", ""),
|
|
]
|
|
|
|
private static let textToLatexLock = NSLock()
|
|
static var _textToLatexSymbolName: [String: String]? = nil
|
|
public static var textToLatexSymbolName: [String: String] {
|
|
get {
|
|
if self._textToLatexSymbolName == nil {
|
|
var output = [String: String]()
|
|
for (key, atom) in Self.supportedLatexSymbols {
|
|
if atom.nucleus.count == 0 {
|
|
continue
|
|
}
|
|
if let existingText = output[atom.nucleus] {
|
|
// If there are 2 key for the same symbol, choose one deterministically.
|
|
if key.count > existingText.count {
|
|
// Keep the shorter command
|
|
continue
|
|
} else if key.count == existingText.count {
|
|
// If the length is the same, keep the alphabetically first
|
|
if key.compare(existingText) == .orderedDescending {
|
|
continue
|
|
}
|
|
}
|
|
}
|
|
output[atom.nucleus] = key
|
|
}
|
|
// protect lazily loading table in a multi-thread concurrent environment
|
|
textToLatexLock.lock()
|
|
defer { textToLatexLock.unlock() }
|
|
if self._textToLatexSymbolName == nil {
|
|
self._textToLatexSymbolName = output
|
|
}
|
|
}
|
|
return self._textToLatexSymbolName!
|
|
}
|
|
// make textToLatexSymbolName readonly (allows internal load)
|
|
// entries can be lazily added with NSLock protection.
|
|
// set {
|
|
// self._textToLatexSymbolName = newValue
|
|
// }
|
|
}
|
|
|
|
// public static let sharedInstance = MTMathAtomFactory()
|
|
|
|
static let fontStyles : [String: MTFontStyle] = [
|
|
"mathnormal" : .defaultStyle,
|
|
"mathrm": .roman,
|
|
"textrm": .roman,
|
|
"rm": .roman,
|
|
"mathbf": .bold,
|
|
"bf": .bold,
|
|
"textbf": .bold,
|
|
"mathcal": .caligraphic,
|
|
"cal": .caligraphic,
|
|
"mathtt": .typewriter,
|
|
"texttt": .typewriter,
|
|
"mathit": .italic,
|
|
"textit": .italic,
|
|
"mit": .italic,
|
|
"mathsf": .sansSerif,
|
|
"textsf": .sansSerif,
|
|
"mathfrak": .fraktur,
|
|
"frak": .fraktur,
|
|
"mathbb": .blackboard,
|
|
"mathbfit": .boldItalic,
|
|
"bm": .boldItalic,
|
|
"text": .roman,
|
|
]
|
|
|
|
public static func fontStyleWithName(_ fontName:String) -> MTFontStyle? {
|
|
fontStyles[fontName]
|
|
}
|
|
|
|
public static func fontNameForStyle(_ fontStyle:MTFontStyle) -> String {
|
|
switch fontStyle {
|
|
case .defaultStyle: return "mathnormal"
|
|
case .roman: return "mathrm"
|
|
case .bold: return "mathbf"
|
|
case .fraktur: return "mathfrak"
|
|
case .caligraphic: return "mathcal"
|
|
case .italic: return "mathit"
|
|
case .sansSerif: return "mathsf"
|
|
case .blackboard: return "mathbb"
|
|
case .typewriter: return "mathtt"
|
|
case .boldItalic: return "bm"
|
|
}
|
|
}
|
|
|
|
/// Returns an atom for the multiplication sign (i.e., \times or "*")
|
|
public static func times() -> MTMathAtom {
|
|
MTMathAtom(type: .binaryOperator, value: UnicodeSymbol.multiplication)
|
|
}
|
|
|
|
/// Returns an atom for the division sign (i.e., \div or "/")
|
|
public static func divide() -> MTMathAtom {
|
|
MTMathAtom(type: .binaryOperator, value: UnicodeSymbol.division)
|
|
}
|
|
|
|
/// Returns an atom which is a placeholder square
|
|
public static func placeholder() -> MTMathAtom {
|
|
MTMathAtom(type: .placeholder, value: UnicodeSymbol.whiteSquare)
|
|
}
|
|
|
|
/** Returns a fraction with a placeholder for the numerator and denominator */
|
|
public static func placeholderFraction() -> MTFraction {
|
|
let frac = MTFraction()
|
|
frac.numerator = MTMathList()
|
|
frac.numerator?.add(placeholder())
|
|
frac.denominator = MTMathList()
|
|
frac.denominator?.add(placeholder())
|
|
return frac
|
|
}
|
|
|
|
/** Returns a square root with a placeholder as the radicand. */
|
|
public static func placeholderSquareRoot() -> MTRadical {
|
|
let rad = MTRadical()
|
|
rad.radicand = MTMathList()
|
|
rad.radicand?.add(placeholder())
|
|
return rad
|
|
}
|
|
|
|
/** Returns a radical with a placeholder as the radicand. */
|
|
public static func placeholderRadical() -> MTRadical {
|
|
let rad = MTRadical()
|
|
rad.radicand = MTMathList()
|
|
rad.degree = MTMathList()
|
|
rad.radicand?.add(placeholder())
|
|
rad.degree?.add(placeholder())
|
|
return rad
|
|
}
|
|
|
|
public static func atom(fromAccentedCharacter ch: Character) -> MTMathAtom? {
|
|
if let symbol = supportedAccentedCharacters[ch] {
|
|
// first handle any special characters
|
|
if let atom = atom(forLatexSymbol: symbol.0) {
|
|
return atom
|
|
}
|
|
|
|
if let accent = MTMathAtomFactory.accent(withName: symbol.0) {
|
|
// The command is an accent
|
|
let list = MTMathList()
|
|
let ch = Array(symbol.1)[0]
|
|
list.add(atom(forCharacter: ch))
|
|
accent.innerList = list
|
|
return accent
|
|
}
|
|
}
|
|
return nil
|
|
}
|
|
|
|
// MARK: -
|
|
/** Gets the atom with the right type for the given character. If an atom
|
|
cannot be determined for a given character this returns nil.
|
|
This function follows latex conventions for assigning types to the atoms.
|
|
The following characters are not supported and will return nil:
|
|
- Any non-ascii character.
|
|
- Any control character or spaces (< 0x21)
|
|
- Latex control chars: $ % # & ~ '
|
|
- Chars with special meaning in latex: ^ _ { } \
|
|
All other characters, including those with accents, will have a non-nil atom returned.
|
|
*/
|
|
public static func atom(forCharacter ch: Character) -> MTMathAtom? {
|
|
let chStr = String(ch)
|
|
switch chStr {
|
|
case "\u{0410}"..."\u{044F}":
|
|
// Cyrillic alphabet
|
|
return MTMathAtom(type: .ordinary, value: chStr)
|
|
case _ where supportedAccentedCharacters.keys.contains(ch):
|
|
// support for áéíóúýàèìòùâêîôûäëïöüÿãñõçøåæœß'ÁÉÍÓÚÝÀÈÌÒÙÂÊÎÔÛÄËÏÖÜÃÑÕÇØÅÆŒ
|
|
return atom(fromAccentedCharacter: ch)
|
|
case _ where ch.utf32Char < 0x0021 || ch.utf32Char > 0x007E:
|
|
return nil
|
|
case "$", "%", "#", "&", "~", "\'", "^", "_", "{", "}", "\\":
|
|
return nil
|
|
case "(", "[":
|
|
return MTMathAtom(type: .open, value: chStr)
|
|
case ")", "]", "!", "?":
|
|
return MTMathAtom(type: .close, value: chStr)
|
|
case ",", ";":
|
|
return MTMathAtom(type: .punctuation, value: chStr)
|
|
case "=", ">", "<":
|
|
return MTMathAtom(type: .relation, value: chStr)
|
|
case ":":
|
|
// Math colon is ratio. Regular colon is \colon
|
|
return MTMathAtom(type: .relation, value: "\u{2236}")
|
|
case "-":
|
|
return MTMathAtom(type: .binaryOperator, value: "\u{2212}")
|
|
case "+", "*":
|
|
return MTMathAtom(type: .binaryOperator, value: chStr)
|
|
case ".", "0"..."9":
|
|
return MTMathAtom(type: .number, value: chStr)
|
|
case "a"..."z", "A"..."Z":
|
|
return MTMathAtom(type: .variable, value: chStr)
|
|
case "\"", "/", "@", "`", "|":
|
|
return MTMathAtom(type: .ordinary, value: chStr)
|
|
default:
|
|
assertionFailure("Unknown ASCII character '\(ch)'. Should have been handled earlier.")
|
|
return nil
|
|
}
|
|
}
|
|
|
|
/** Returns a `MTMathList` with one atom per character in the given string. This function
|
|
does not do any LaTeX conversion or interpretation. It simply uses `atom(forCharacter:)` to
|
|
convert the characters to atoms. Any character that cannot be converted is ignored. */
|
|
public static func atomList(for string: String) -> MTMathList {
|
|
let list = MTMathList()
|
|
for character in string {
|
|
if let newAtom = atom(forCharacter: character) {
|
|
list.add(newAtom)
|
|
}
|
|
}
|
|
return list
|
|
}
|
|
|
|
/** Returns an atom with the right type for a given latex symbol (e.g. theta)
|
|
If the latex symbol is unknown this will return nil. This supports LaTeX aliases as well.
|
|
*/
|
|
public static func atom(forLatexSymbol name: String) -> MTMathAtom? {
|
|
var name = name
|
|
if let canonicalName = aliases[name] {
|
|
name = canonicalName
|
|
}
|
|
if let atom = supportedLatexSymbols[name] {
|
|
return atom.copy()
|
|
}
|
|
return nil
|
|
}
|
|
|
|
/** Finds the name of the LaTeX symbol name for the given atom. This function is a reverse
|
|
of the above function. If no latex symbol name corresponds to the atom, then this returns `nil`
|
|
If nucleus of the atom is empty, then this will return `nil`.
|
|
Note: This is not an exact reverse of the above in the case of aliases. If an LaTeX alias
|
|
points to a given symbol, then this function will return the original symbol name and not the
|
|
alias.
|
|
Note: This function does not convert MathSpaces to latex command names either.
|
|
*/
|
|
public static func latexSymbolName(for atom: MTMathAtom) -> String? {
|
|
guard !atom.nucleus.isEmpty else { return nil }
|
|
return Self.textToLatexSymbolName[atom.nucleus]
|
|
}
|
|
|
|
/** Define a latex symbol for rendering. This function allows defining custom symbols that are
|
|
not already present in the default set, or override existing symbols with new meaning.
|
|
e.g. to define a symbol for "lcm" one can call:
|
|
`MTMathAtomFactory.add(latexSymbol:"lcm", value:MTMathAtomFactory.operatorWithName("lcm", limits: false))` */
|
|
public static func add(latexSymbol name: String, value: MTMathAtom) {
|
|
let _ = Self.textToLatexSymbolName
|
|
// above force textToLatexSymbolName to initialise first, _textToLatexSymbolName also initialized.
|
|
// protect lazily loading table in a multi-thread concurrent environment
|
|
textToLatexLock.lock()
|
|
defer { textToLatexLock.unlock() }
|
|
supportedLatexSymbols[name] = value
|
|
Self._textToLatexSymbolName?[value.nucleus] = name
|
|
}
|
|
|
|
/** Returns a large opertor for the given name. If limits is true, limits are set up on
|
|
the operator and displayed differently. */
|
|
public static func operatorWithName(_ name: String, limits: Bool) -> MTLargeOperator {
|
|
MTLargeOperator(value: name, limits: limits)
|
|
}
|
|
|
|
/** Returns an accent with the given name. The name of the accent is the LaTeX name
|
|
such as `grave`, `hat` etc. If the name is not a recognized accent name, this
|
|
returns nil. The `innerList` of the returned `MTAccent` is nil.
|
|
*/
|
|
public static func accent(withName name: String) -> MTAccent? {
|
|
if let accentValue = accents[name] {
|
|
return MTAccent(value: accentValue)
|
|
}
|
|
return nil
|
|
}
|
|
|
|
/** Returns the accent name for the given accent. This is the reverse of the above
|
|
function. */
|
|
public static func accentName(_ accent: MTAccent) -> String? {
|
|
accentValueToName[accent.nucleus]
|
|
}
|
|
|
|
/** Creates a new boundary atom for the given delimiter name. If the delimiter name
|
|
is not recognized it returns nil. A delimiter name can be a single character such
|
|
as '(' or a latex command such as 'uparrow'.
|
|
@note In order to distinguish between the delimiter '|' and the delimiter '\|' the delimiter '\|'
|
|
the has been renamed to '||'.
|
|
*/
|
|
public static func boundary(forDelimiter name: String) -> MTMathAtom? {
|
|
if let delimValue = Self.delimiters[name] {
|
|
return MTMathAtom(type: .boundary, value: delimValue)
|
|
}
|
|
return nil
|
|
}
|
|
|
|
/** Returns the delimiter name for a boundary atom. This is a reverse of the above function.
|
|
If the atom is not a boundary atom or if the delimiter value is unknown this returns `nil`.
|
|
@note This is not an exact reverse of the above function. Some delimiters have two names (e.g.
|
|
`<` and `langle`) and this function always returns the shorter name.
|
|
*/
|
|
public static func getDelimiterName(of boundary: MTMathAtom) -> String? {
|
|
guard boundary.type == .boundary else { return nil }
|
|
return Self.delimValueToName[boundary.nucleus]
|
|
}
|
|
|
|
/** Returns a fraction with the given numerator and denominator. */
|
|
public static func fraction(withNumerator num: MTMathList, denominator denom: MTMathList) -> MTFraction {
|
|
let frac = MTFraction()
|
|
frac.numerator = num
|
|
frac.denominator = denom
|
|
return frac
|
|
}
|
|
|
|
public static func mathListForCharacters(_ chars:String) -> MTMathList? {
|
|
let list = MTMathList()
|
|
for ch in chars {
|
|
if let atom = self.atom(forCharacter: ch) {
|
|
list.add(atom)
|
|
}
|
|
}
|
|
return list
|
|
}
|
|
|
|
/** Simplification of above function when numerator and denominator are simple strings.
|
|
This function converts the strings to a `MTFraction`. */
|
|
public static func fraction(withNumeratorString numStr: String, denominatorString denomStr: String) -> MTFraction {
|
|
let num = Self.atomList(for: numStr)
|
|
let denom = Self.atomList(for: denomStr)
|
|
return Self.fraction(withNumerator: num, denominator: denom)
|
|
}
|
|
|
|
|
|
static let matrixEnvs = [
|
|
"matrix": [],
|
|
"pmatrix": ["(", ")"],
|
|
"bmatrix": ["[", "]"],
|
|
"Bmatrix": ["{", "}"],
|
|
"vmatrix": ["vert", "vert"],
|
|
"Vmatrix": ["Vert", "Vert"]
|
|
]
|
|
|
|
/** Builds a table for a given environment with the given rows. Returns a `MTMathAtom` containing the
|
|
table and any other atoms necessary for the given environment. Returns nil and sets error
|
|
if the table could not be built.
|
|
@param env The environment to use to build the table. If the env is nil, then the default table is built.
|
|
@note The reason this function returns a `MTMathAtom` and not a `MTMathTable` is because some
|
|
matrix environments are have builtin delimiters added to the table and hence are returned as inner atoms.
|
|
*/
|
|
public static func table(withEnvironment env: String?, rows: [[MTMathList]], error:inout NSError?) -> MTMathAtom? {
|
|
let table = MTMathTable(environment: env)
|
|
|
|
for i in 0..<rows.count {
|
|
let row = rows[i]
|
|
for j in 0..<row.count {
|
|
table.set(cell: row[j], forRow: i, column: j)
|
|
}
|
|
}
|
|
|
|
if env == nil {
|
|
table.interColumnSpacing = 0
|
|
table.interRowAdditionalSpacing = 1
|
|
for i in 0..<table.numColumns {
|
|
table.set(alignment: .left, forColumn: i)
|
|
}
|
|
return table
|
|
} else if let env = env {
|
|
if let delims = matrixEnvs[env] {
|
|
table.environment = "matrix"
|
|
table.interRowAdditionalSpacing = 0
|
|
table.interColumnSpacing = 18
|
|
|
|
let style = MTMathStyle(style: .text)
|
|
|
|
for i in 0..<table.cells.count {
|
|
for j in 0..<table.cells[i].count {
|
|
table.cells[i][j].insert(style, at: 0)
|
|
}
|
|
}
|
|
|
|
if delims.count == 2 {
|
|
let inner = MTInner()
|
|
inner.leftBoundary = Self.boundary(forDelimiter: delims[0])
|
|
inner.rightBoundary = Self.boundary(forDelimiter: delims[1])
|
|
inner.innerList = MTMathList(atoms: [table])
|
|
return inner
|
|
} else {
|
|
return table
|
|
}
|
|
} else if env == "eqalign" || env == "split" || env == "aligned" {
|
|
if table.numColumns != 2 {
|
|
let message = "\(env) environment can only have 2 columns"
|
|
if error == nil {
|
|
error = NSError(domain: MTParseError, code: MTParseErrors.invalidNumColumns.rawValue, userInfo: [NSLocalizedDescriptionKey:message])
|
|
}
|
|
return nil
|
|
}
|
|
|
|
let spacer = MTMathAtom(type: .ordinary, value: "")
|
|
|
|
for i in 0..<table.cells.count {
|
|
if table.cells[i].count >= 2 {
|
|
table.cells[i][1].insert(spacer, at: 0)
|
|
}
|
|
}
|
|
|
|
table.interRowAdditionalSpacing = 1
|
|
table.interColumnSpacing = 0
|
|
|
|
table.set(alignment: .right, forColumn: 0)
|
|
table.set(alignment: .left, forColumn: 1)
|
|
|
|
return table
|
|
} else if env == "displaylines" || env == "gather" {
|
|
if table.numColumns != 1 {
|
|
let message = "\(env) environment can only have 1 column"
|
|
if error == nil {
|
|
error = NSError(domain: MTParseError, code: MTParseErrors.invalidNumColumns.rawValue, userInfo: [NSLocalizedDescriptionKey:message])
|
|
}
|
|
return nil
|
|
}
|
|
|
|
table.interRowAdditionalSpacing = 1
|
|
table.interColumnSpacing = 0
|
|
|
|
table.set(alignment: .center, forColumn: 0)
|
|
|
|
return table
|
|
} else if env == "eqnarray" {
|
|
if table.numColumns != 3 {
|
|
let message = "\(env) environment can only have 3 columns"
|
|
if error == nil {
|
|
error = NSError(domain: MTParseError, code: MTParseErrors.invalidNumColumns.rawValue, userInfo: [NSLocalizedDescriptionKey:message])
|
|
}
|
|
return nil
|
|
}
|
|
|
|
table.interRowAdditionalSpacing = 1
|
|
table.interColumnSpacing = 18
|
|
|
|
table.set(alignment: .right, forColumn: 0)
|
|
table.set(alignment: .center, forColumn: 1)
|
|
table.set(alignment: .left, forColumn: 2)
|
|
|
|
return table
|
|
} else if env == "cases" {
|
|
if table.numColumns != 1 && table.numColumns != 2 {
|
|
let message = "cases environment can have 1 or 2 columns"
|
|
if error == nil {
|
|
error = NSError(domain: MTParseError, code: MTParseErrors.invalidNumColumns.rawValue, userInfo: [NSLocalizedDescriptionKey:message])
|
|
}
|
|
return nil
|
|
}
|
|
|
|
table.interRowAdditionalSpacing = 0
|
|
table.interColumnSpacing = 18
|
|
|
|
table.set(alignment: .left, forColumn: 0)
|
|
if table.numColumns == 2 {
|
|
table.set(alignment: .left, forColumn: 1)
|
|
}
|
|
|
|
let style = MTMathStyle(style: .text)
|
|
for i in 0..<table.cells.count {
|
|
for j in 0..<table.cells[i].count {
|
|
table.cells[i][j].insert(style, at: 0)
|
|
}
|
|
}
|
|
|
|
let inner = MTInner()
|
|
inner.leftBoundary = Self.boundary(forDelimiter: "{")
|
|
inner.rightBoundary = Self.boundary(forDelimiter: ".")
|
|
let space = Self.atom(forLatexSymbol: ",")!
|
|
|
|
inner.innerList = MTMathList(atoms: [space, table])
|
|
|
|
return inner
|
|
} else {
|
|
let message = "Unknown environment \(env)"
|
|
error = NSError(domain: MTParseError, code: MTParseErrors.invalidEnv.rawValue, userInfo: [NSLocalizedDescriptionKey:message])
|
|
return nil
|
|
}
|
|
}
|
|
return nil
|
|
}
|
|
}
|