Class: Plurimath::Utility

Inherits:
Object
  • Object
show all
Defined in:
lib/plurimath/utility.rb

Constant Summary collapse

UNICODE_REGEX = 
%r{&#x[a-zA-Z0-9]+;}
FONT_STYLES = 
{
  "double-struck": Math::Function::FontStyle::DoubleStruck,
  "sans-serif-bold-italic": Math::Function::FontStyle::SansSerifBoldItalic,
  "sans-serif-italic": Math::Function::FontStyle::SansSerifItalic,
  "bold-sans-serif": Math::Function::FontStyle::BoldSansSerif,
  "sans-serif": Math::Function::FontStyle::SansSerif,
  "bold-fraktur": Math::Function::FontStyle::BoldFraktur,
  "bold-italic": Math::Function::FontStyle::BoldItalic,
  "bold-script": Math::Function::FontStyle::BoldScript,
  mbfitsans: Math::Function::FontStyle::SansSerifBoldItalic,
  monospace: Math::Function::FontStyle::Monospace,
  mathfrak: Math::Function::FontStyle::Fraktur,
  mitsans: Math::Function::FontStyle::SansSerifItalic,
  mbfsans: Math::Function::FontStyle::BoldSansSerif,
  mbffrak: Math::Function::FontStyle::BoldFraktur,
  mathcal: Math::Function::FontStyle::Script,
  fraktur: Math::Function::FontStyle::Fraktur,
  mbfscr: Math::Function::FontStyle::BoldScript,
  mathbb: Math::Function::FontStyle::DoubleStruck,
  double: Math::Function::FontStyle::DoubleStruck,
  mathtt: Math::Function::FontStyle::Monospace,
  mathsf: Math::Function::FontStyle::SansSerif,
  mathrm: Math::Function::FontStyle::Normal,
  textrm: Math::Function::FontStyle::Normal,
  italic: Math::Function::FontStyle::Italic,
  mathit: Math::Function::FontStyle::Italic,
  textit: Math::Function::FontStyle::Italic,
  mathbf: Math::Function::FontStyle::Bold,
  textbf: Math::Function::FontStyle::Bold,
  script: Math::Function::FontStyle::Script,
  normal: Math::Function::FontStyle::Normal,
  mbfit: Math::Function::FontStyle::BoldItalic,
  msans: Math::Function::FontStyle::SansSerif,
  mfrak: Math::Function::FontStyle::Fraktur,
  mscr: Math::Function::FontStyle::Script,
  bold: Math::Function::FontStyle::Bold,
  bbb: Math::Function::FontStyle::DoubleStruck,
  Bbb: Math::Function::FontStyle::DoubleStruck,
  mtt: Math::Function::FontStyle::Monospace,
  cal: Math::Function::FontStyle::Script,
  mit: Math::Function::FontStyle::Italic,
  mup: Math::Function::FontStyle::Normal,
  mbf: Math::Function::FontStyle::Bold,
  sf: Math::Function::FontStyle::SansSerif,
  tt: Math::Function::FontStyle::Monospace,
  fr: Math::Function::FontStyle::Fraktur,
  rm: Math::Function::FontStyle::Normal,
  cc: Math::Function::FontStyle::Script,
  ii: Math::Function::FontStyle::Italic,
  bb: Math::Function::FontStyle::Bold,
  bf: Math::Function::FontStyle::Bold,
}.freeze
ALIGNMENT_LETTERS = 
{
  c: "center",
  r: "right",
  l: "left",
}.freeze
UNARY_CLASSES = 
%w[
  arccos
  arcsin
  arctan
  liminf
  limsup
  right
  sech
  sinh
  tanh
  cosh
  coth
  csch
  left
  max
  min
  sec
  sin
  sup
  deg
  det
  dim
  exp
  gcd
  glb
  lub
  lcm
  ker
  tan
  cos
  cot
  csc
  ln
  lg
].freeze
MUNDER_CLASSES = 
%w[
  ubrace
  obrace
  right
  max
  min
].freeze
PARENTHESIS = 
{
  "〈": "〉",
  "⌊": "⌋",
  "⌈": "⌉",
  "‖": "‖",
  "{": "}",
  "[": "]",
  "|": "|",
  "(": ")",
  "{": "}",
  "[": "]",
}.freeze
TEXT_CLASSES = 
%w[
  symbol
  number
  text
].freeze
TABLE_SUPPORTED_ATTRS = 
%i[
  columnlines
  rowlines
  frame
].freeze
MPADDED_ATTRS = 
%i[
  height
  depth
  width
].freeze
MGLYPH_ATTRS = 
%i[
  height
  width
  index
  alt
  src
].freeze
UNICODEMATH_MENCLOSE_FUNCTIONS = 
{
  underline: "bottom",
  underbar: "bottom",
  longdiv: "longdiv",
  xcancel: "updiagonalstrike downdiagonalstrike",
  bcancel: "updiagonalstrike",
  ellipse: "circle",
  circle: "circle",
  cancel: "downdiagonalstrike",
  rrect: "roundedbox",
  rect: "box",
}.freeze
MASK_CLASSES = 
{
  1 => 'top',
  2 => 'bottom',
  4 => 'left',
  8 => 'right',
  16 => 'horizontalstrike',
  32 => 'verticalstrike',
  64 => 'downdiagonalstrike',
  128 => 'updiagonalstrike'
}.freeze

Class Method Summary collapse

Class Method Details

.accent_value(accent, function: false, lang:) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 858

def accent_value(accent, function: false, lang:)
  if accent[:accent_symbols]
    symbols_class(UnicodeMath::Constants::ACCENT_SYMBOLS[accent[:accent_symbols].to_sym] || accent[:accent_symbols], lang: lang)
  else
    accent[:first_value] || filter_values(accent[:prime_accent_symbols])
  end
end

.all_symbols_classes(lang) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 309

def all_symbols_classes(lang)
  symbols_hash(lang).merge(parens_hash(lang))
end

.asciimath_symbol_object(value, lang: :asciimath) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 636

def asciimath_symbol_object(value, lang: :asciimath)
  return if value.nil?

  symbols = symbols_hash(lang)
  return symbols[value&.to_s].new if symbols.key?(value&.to_s)

  symbol_object(value&.to_s, lang: lang)
end

.attr_is_accent(attrs, value) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 526

def attr_is_accent(attrs, value)
  if value.last.is_a?(Math::Function::UnaryFunction)
    value.last.parameter_one = value.shift if value.length > 1
    value.last.attributes = attrs.transform_values { |v| YAML.safe_load(v) }
  end
  value
end

.attr_is_function(attrs, value) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 534

def attr_is_function(attrs, value)
  case attrs
  when Math::Function::Fenced
    attrs.parameter_two = value.compact
    attrs
  when Math::Function::FontStyle
    attrs.parameter_one = filter_values(value)
    attrs
  when Math::Function::Color
    color_value = filter_values(value)
    if attrs.parameter_two
      attrs.parameter_two.parameter_one = color_value
    else
      attrs.parameter_two = color_value
    end
    attrs
  end
end

.base_is_prime?(base) ⇒ Boolean

Returns:

  • (Boolean) 


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# File 'lib/plurimath/utility.rb', line 978

def base_is_prime?(base)
  symbol_prime?(base.parameter_two) ||
    primes_constants.key(base.parameter_two.value)
end

.base_is_sub_or_sup?(base) ⇒ Boolean

Returns:

  • (Boolean) 


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# File 'lib/plurimath/utility.rb', line 999

def base_is_sub_or_sup?(base)
  if base.is_a?(Math::Formula)
    base_is_sub_or_sup?(base.value.first)
  elsif base.is_a?(Math::Function::Fenced)
    base_is_sub_or_sup?(base.parameter_two.first)
  elsif base.is_a?(Math::Symbols::Symbol) || base.is_a?(Math::Number)
    base.mini_sub_sized || base_mini_sup_sized
  end
end

.base_recursion(sub_script, sub_recursion) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 937

def base_recursion(sub_script, sub_recursion)
  base_class = Math::Function::Base
  new_sub = sub_recursion.parameter_one
  if new_sub.is_a?(base_class)
    base_recursion(sub_script, new_sub)
    sub_recursion
  else
    sub_recursion.parameter_one = base_class.new(sub_script, new_sub)
    sub_recursion
  end
end

.binary_function_classes(mrow, under: false, lang:) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 684

def binary_function_classes(mrow, under: false, lang:)
  binary_class = Math::Function::BinaryFunction
  mrow.each_with_index do |object, ind|
    mrow[ind] = mathml_unary_classes([object], lang: lang) if object.is_a?(String)
    object = mrow[ind]
    next unless object.is_a?(binary_class)

    if object.is_a?(Math::Function::Mod)
      next unless mrow.length >= 1

      object.parameter_one = mrow.delete_at(ind - 1) unless ind.zero?
      object.parameter_two = mrow.delete_at(ind)
    elsif Mathml::Constants::UNICODE_SYMBOLS.invert[object.class_name] && mrow.length > 1
      next if object.parameter_one || mrow.length > 2
      next object.parameter_one = mrow.delete_at(ind - 1) if under && ind <= 1

      object.parameter_one = mrow.delete_at(ind + 1)
    end
  end
end

.capitalize(text) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 258

def capitalize(text)
  text.to_s.split("_").map(&:capitalize).join
end

.enclosure_attrs(mask) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 1020

def enclosure_attrs(mask)
  raise "enclosure mask is not between 0 and 255" if (mask.nil? || mask < 0 || mask > 255)

  ret = ""
  unless mask.nil?
    mask ^= 15
    bin_mask = mask.to_s(2).reverse
    classes = bin_mask.chars.each_with_index.map { |bit, i| MASK_CLASSES[2**i] if bit == '1' }.compact
    ret = classes.join(' ')
  end
  ret
end

.fenceable_classes(mrow = []) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 742

def fenceable_classes(mrow = [])
  return false unless mrow.length > 1
  return unless paren_able?(PARENTHESIS, mrow) || (mrow.first.is_a?(Math::Symbols::Paren) && mrow.last.is_a?(Math::Symbols::Paren))

  open_paren = mrow.shift
  close_paren = mrow.pop
  if mrow.length == 1 && mrow.first.is_a?(Math::Function::Table)
    table = mrow.first
    table.open_paren = open_paren
    table.close_paren = close_paren
  else
    mrow.replace(
      [
        Math::Function::Fenced.new(open_paren, mrow.dup, close_paren),
      ],
    )
  end
end

.filter_math_zone_values(value, lang:) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 773

def filter_math_zone_values(value, lang:)
  return [] if value&.empty?

  new_arr = []
  temp_array = []
  skip_index = nil
  value.each_with_index do |obj, index|
    object = obj.dup
    next if index == skip_index
    if TEXT_CLASSES.include?(object.class_name) || math_display_text_objects(object)
      next temp_array << (object.is_a?(Math::Symbols::Symbol) ? symbol_to_text(object, lang: lang) : object.value)
    end

    new_arr << Math::Function::Text.new(temp_array.join(" ")) if temp_array.any?
    temp_array = []
    new_arr << object
  end
  new_arr << Math::Function::Text.new(temp_array.join(" ")) if temp_array.any?
  new_arr
end

.filter_table_data(table_data) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 223

def filter_table_data(table_data)
  table_data.each_with_index do |object, ind|
    if object.is_a?(Math::Symbols::Minus)
      table_data[ind] = Math::Formula.new(
        [object, table_data.delete_at(ind.next)],
      )
    end
  end
  table_data
end

.filter_values(array) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 350

def filter_values(array)
  return array unless array.is_a?(Array) || array.is_a?(Math::Formula)

  array = array.is_a?(Math::Formula) ? array.value : array.flatten.compact
  return Math::Formula.new(array) if array.length > 1

  array.first
end

.find_pos_chr(fonts_array, key) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 394

def find_pos_chr(fonts_array, key)
  fonts_array.find { |d| d.is_a?(Hash) && d[key] }
end

.frac_values(object) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 606

def frac_values(object)
  case object
  when Math::Formula
    object.value.any? { |d| symbol_value(d, ",") }
  when Array
    object.any? { |d| symbol_value(d, ",") }
  end
end

.fractions(numerator, denominator, options = nil) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 883

def fractions(numerator, denominator, options = nil)
  frac_class = Math::Function::Frac
  if denominator.is_a?(frac_class)
    if denominator.parameter_one.is_a?(frac_class)
      recursion_fraction(denominator, numerator, options)
    else
      denominator.parameter_one = frac_class.new(
        unfenced_value(numerator, paren_specific: true),
        unfenced_value(denominator.parameter_one, paren_specific: true),
        options
      )
    end
    denominator
  else
    frac_class.new(
      unfenced_value(numerator, paren_specific: true),
      unfenced_value(denominator, paren_specific: true),
      options
    )
  end
end

.get_class(text) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 244

def get_class(text)
  Object.const_get("Plurimath::Math::Function::#{capitalize(text)}")
end

.get_paren_class(text) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 254

def get_paren_class(text)
  Object.const_get("Plurimath::Math::Symbols::Paren::#{capitalize(text)}")
end

.get_symbol_class(text) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 248

def get_symbol_class(text)
  Object.const_get("Plurimath::Math::Symbols::#{capitalize(text)}")
rescue => e
  get_paren_class(text)
end

.get_table_class(text) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 234

def get_table_class(text)
  Object.const_get("Plurimath::Math::Function::Table::#{capitalize(text)}")
end

.hexcode_in_input(field) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 995

def hexcode_in_input(field)
  field.input(:unicodemath)&.flatten&.find { |input| input.match?(/&#x.+;/) }
end

.html_entity_to_unicode(string) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 463

def html_entity_to_unicode(string)
  entities = HTMLEntities.new
  entities.decode(string)
end

.identity_matrix(size) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 1009

def identity_matrix(size)
  matrix = Array.new(size) { Array.new(size, 0) }
  size.times { |i| matrix[i][i] = 1 }
  matrix.map do |tr|
    tr.map.with_index do |td, i|
      tr[i] = Math::Function::Td.new([Math::Number.new(td.to_s)])
    end
    Math::Function::Tr.new(tr)
  end
end

.join_attr_value(attrs, value, unicode_only: false, lang: :mathml) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 483

def join_attr_value(attrs, value, unicode_only: false, lang: :mathml)
  if value.any?(String)
    new_value = mathml_unary_classes(value, unicode_only: unicode_only, lang: lang)
    array_value = Array(new_value)
    attrs.nil? ? array_value : join_attr_value(attrs, array_value, unicode_only: unicode_only)
  elsif attrs.nil?
    value
  elsif attrs.is_a?(String) && ["solid", "none"].include?(attrs.split.first.downcase)
    table_separator(attrs.split, value)
  elsif attrs.is_a?(Hash)
    if (attrs.key?(:accent) || attrs.key?(:accentunder))
      attr_is_accent(attrs, value)
    elsif attrs.key?(:linebreak)
      Math::Function::Linebreak.new(value.first, attrs)
    elsif attrs.key?(:bevelled) || attrs.key?(:linethickness)
      Math::Function::Frac.new(value[0], value[1], attrs)
    elsif attrs.key?(:notation)
      value << attrs
    elsif attrs.key?(:separators)
      fenced = Math::Function::Fenced.new(
        symbol_object(attrs[:open] || "(", lang: lang),
        value,
        symbol_object(attrs[:close] || ")", lang: lang),
      )
      fenced.options = { separators: attrs[:separators] }
      fenced
    elsif TABLE_SUPPORTED_ATTRS.any? { |atr| attrs.key?(atr) }
      Math::Function::Table.new(value, nil, nil, attrs)
    elsif MPADDED_ATTRS.any? { |atr| attrs.key?(atr) }
      Math::Function::Mpadded.new(
        filter_values(value),
        attrs,
      )
    elsif MGLYPH_ATTRS.any? { |atr| attrs.key?(atr) }
      Math::Function::Mglyph.new(
        attrs,
      )
    end
  elsif attrs.is_a?(Math::Core)
    attr_is_function(attrs, value)
  end
end

.latex_table_curly_paren(string) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 1066

def latex_table_curly_paren(string)
  case string
  when "{" then Math::Symbols::Paren::Lcurly.new
  when "}" then Math::Symbols::Paren::Rcurly.new
  else symbols_class(string, lang: :latex)
  end
end

.left_right_objects(paren, function) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 653

def left_right_objects(paren, function)
  paren = if paren.to_s.match?(/\\\{|\\\}/)
            paren.to_s.gsub(/\\/, "")
          else
            Latex::Constants::LEFT_RIGHT_PARENTHESIS[paren.to_sym]
          end
  get_class(function).new(paren)
end

.math_display_text_objects(object) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 1061

def math_display_text_objects(object)
  class_names = ["plus", "minus", "circ", "equal", "symbol"].freeze
  class_names.include?(object.class_name)
end

.mathml_unary_classes(text_array, omml: false, unicode_only: false, lang: nil) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 426

def mathml_unary_classes(text_array, omml: false, unicode_only: false, lang: nil)
  return [] if text_array.empty?

  compacted = text_array.compact
  return filter_values(compacted) unless compacted.any?(String)

  string  = compacted.join
  classes = Mathml::Constants::CLASSES
  unicode = string_to_html_entity(string)
  return symbols_class(unicode, lang: lang) if unicode_only && unicode

  symbol = Mathml::Constants::UNICODE_SYMBOLS[unicode.strip.to_sym]
  if classes.include?(symbol&.strip)
    get_class(symbol.strip).new
  elsif classes.any?(string&.strip)
    get_class(string.strip).new
  else
    omml ? text_classes(string, lang: lang) : symbols_class(unicode, lang: lang)
  end
end

.mrow_left_right(mrow = []) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 668

def mrow_left_right(mrow = [])
  object = mrow.first
  !(
    ((object.is_a?(Math::Function::TernaryFunction) && object.any_value_exist?) && (mrow.length <= 2)) ||
    (object.is_a?(Math::Function::UnaryFunction) && mrow.length == 1)
  )
end

.multiscript(values) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 553

def multiscript(values)
  values.slice_before("mprescripts").map do |value|
    base_value   = value.shift
    value        = nil_to_none_object(value)
    part_val     = value.partition.with_index { |_, i| i.even? }
    first_value  = part_val[0].empty? ? nil : part_val[0]
    second_value = part_val[1].empty? ? nil : part_val[1]
    if base_value.to_s.include?("mprescripts")
      [first_value, second_value]
    else
      Math::Function::PowerBase.new(
        filter_values(base_value),
        filter_values(first_value),
        filter_values(second_value),
      )
    end
  end
end

.nary_fonts(nary, lang:) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 381

def nary_fonts(nary, lang:)
  narypr  = nary.first.flatten.compact
  subsup  = narypr.any?("undOvr") ? "undOvr" : "subSup"
  unicode = narypr.any?(Hash) ? narypr.first[:chr] : "∫"
  Math::Function::Nary.new(
    symbols_class(string_to_html_entity(unicode), lang: lang),
    filter_values(nary[1]),
    filter_values(nary[2]),
    filter_values(nary[3]),
    { type: subsup }
  )
end

.nil_to_none_object(value) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 572

def nil_to_none_object(value)
  return value unless value.any?(NilClass) || value.any? { |val| val.is_a?(Array) && val.empty? }

  value.each.with_index do |val, index|
    next unless val.nil? || val.is_a?(Array)

    value[index] = Math::Function::None.new
  end
end

.notations_to_mask(notations) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 1033

def notations_to_mask(notations)
  mask = []
  notations.split(" ").each { |notation| mask << MASK_CLASSES.key(notation) }
  mask.inject(*:+)^15
end

.organize_options(table_data, column_align) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 191

def organize_options(table_data, column_align)
  return column_align if column_align.length <= 1

  align = [column_align&.shift]
  table_data.insert(0, *column_align)
  align
end

.organize_table(array, column_align: nil, options: nil) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 163

def organize_table(array, column_align: nil, options: nil)
  table = []
  table_data = []
  table_row = []
  organize_options(array, column_align) if options
  string_columns = column_align&.map { |column| column.is_a?(Math::Symbols::Paren) ? "|" : column.value }
  array.each do |data|
    if data&.separate_table
      table_row << Math::Function::Td.new(filter_table_data(table_data).compact)
      table_data = []
      if data.linebreak
        organize_tds(table_row.flatten, string_columns.dup, options)
        table << Math::Function::Tr.new(table_row)
        table_row = []
      end
      next
    end
    table_data << data
  end
  table_row << Math::Function::Td.new(table_data.compact) if table_data
  unless table_row.nil? || table_row.empty?
    organize_tds(table_row.flatten, string_columns.dup, options)
    table << Math::Function::Tr.new(table_row)
  end
  table_separator(string_columns, table, symbol: "|") unless column_align.nil? || column_align.empty?
  table
end

.organize_tds(tr_array, column_align, options) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 212

def organize_tds(tr_array, column_align, options)
  return tr_array if column_align.nil? || column_align.empty?

  column_align.reject! { |string| string == "|" }
  column_align = column_align * tr_array.length if options
  tr_array.map.with_index do |td, ind|
    columnalign = ALIGNMENT_LETTERS[column_align[ind]&.to_sym]
    td.parameter_two = { columnalign: columnalign } if columnalign
  end
end

.ox_element(node, attributes: [], namespace: "") ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 313

def ox_element(node, attributes: [], namespace: "")
  namespace = "#{namespace}:" unless namespace.empty?

  element = Plurimath.xml_engine.new_element("#{namespace}#{node}")
  element.set_attr(attributes)
  element
end

.paren_able?(arr = [], mrow = []) ⇒ Boolean

Returns:

  • (Boolean) 


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# File 'lib/plurimath/utility.rb', line 736

def paren_able?(arr = [], mrow = [])
  arr.any? do |opening, closing|
    symbol_value(mrow.first, opening.to_s) && symbol_value(mrow.last, closing.to_s)
  end
end

.paren_files ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 266

def paren_files
  @@paren_files ||= Dir.glob(File.join(__dir__, "math/symbols/", "paren", "*.rb"))
end

.parens_hash(lang, skipables: nil) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 290

def parens_hash(lang, skipables: nil)
  @@parens ||= {}
  lang_parens = @@parens[lang]
  return lang_parens if lang_parens && !lang_parens.empty?

  lang_parens = {}
  paren_files.map do |file_name|
    class_name = File.basename(file_name, ".rb")
    class_object = get_symbol_class(class_name)
    class_object::INPUT[lang].flatten&.each do |symbol|
      next if skipables && skipables.include?(class_name)
      next if lang_parens.key?(symbol)

      lang_parens[symbol] = class_object
    end
  end
  @@parens[lang] = lang_parens.sort_by { |v, _| -v.length }.to_h
end

.populate_function_classes(mrow = [], lang:) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 676

def populate_function_classes(mrow = [], lang:)
  flatten_mrow = mrow.flatten.compact
  unary_function_classes(flatten_mrow, lang: lang)
  binary_function_classes(flatten_mrow, lang: lang)
  ternary_function_classes(flatten_mrow)
  flatten_mrow
end

.pr_element(main_tag, wi_tag = false, namespace: "") ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 342

def pr_element(main_tag, wi_tag = false, namespace: "")
  tag_name = "#{main_tag}Pr"
  ox_element(
    tag_name,
    namespace: namespace,
  ) << rpr_element(wi_tag: wi_tag)
end

.primes_constants ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 988

def primes_constants
  primes = {}
  primes
    .merge!(UnicodeMath::Constants::PREFIXED_PRIMES)
    .merge({ sprime: "&#x27;" })
end

.recursion_fraction(frac, numerator, options) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 905

def recursion_fraction(frac, numerator, options)
  frac_class = Math::Function::Frac
  new_numerator = frac.parameter_one
  if new_numerator.is_a?(frac_class)
    recursion_fraction(new_numerator, numerator, options)
  else
    frac.parameter_one = frac_class.new(
      unfenced_value(numerator, paren_specific: true),
      unfenced_value(frac.parameter_one, paren_specific: true),
      options
    )
    frac
  end
end

.recursive_sub(sub_script, sub_recursion) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 920

def recursive_sub(sub_script, sub_recursion)
  base_class = Math::Function::Base
  if sub_recursion.is_a?(base_class)
    if sub_recursion.parameter_one.is_a?(base_class)
      base_recursion(sub_script, sub_recursion)
    else
      sub_recursion.parameter_one = base_class.new(sub_script, sub_recursion.parameter_one)
    end
    sub_recursion
  else
    base_class.new(
      sub_script,
      sub_recursion,
    )
  end
end

.recursive_sup(sup_script, sup_recursion) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 949

def recursive_sup(sup_script, sup_recursion)
  power_class = Math::Function::Power
  if sup_recursion.is_a?(power_class)
    if sup_recursion.parameter_one.is_a?(power_class)
      sup_recursion(sup_script, sup_recursion)
    else
      sup_recursion.parameter_one = power_class.new(sup_script, sup_recursion.parameter_one)
    end
    sup_recursion
  else
    power_class.new(
      sup_script,
      sup_recursion,
    )
  end
end

.rpr_element(wi_tag: false) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 321

def rpr_element(wi_tag: false)
  rpr_element = ox_element("rPr", namespace: "w")
  attributes = { "w:ascii": "Cambria Math", "w:hAnsi": "Cambria Math" }
  rpr_element << ox_element(
    "rFonts",
    namespace: "w",
    attributes: attributes,
  )
  rpr_element << ox_element("i", namespace: "w") if wi_tag
  rpr_element
end

.sequence_slashed_values(values, lang:) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 1048

def sequence_slashed_values(values, lang:)
  values.each.with_index do |value, index|
    decoded = HTMLEntities.new.decode(value.value)
    slashed = if index == 0
                slashed_values(value.value)
              else
                decoded.match?(/[0-9]/) ? Math::Number.new(decoded) : symbols_class(decoded, lang: lang)
              end
    values[index] = slashed
  end
  values
end

.slashed_values(value) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 1039

def slashed_values(value)
  decoded = HTMLEntities.new.decode(value)
  if decoded.to_s.match?(/^\w+/)
    Math::Function::Text.new("\\#{decoded}")
  else
    Math::Symbols::Symbol.new(decoded, true)
  end
end

.string_to_html_entity(string) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 455

def string_to_html_entity(string)
  entities = HTMLEntities.new
  entities.encode(
    string.frozen? ? string : string.force_encoding('UTF-8'),
    :hexadecimal,
  )
end

.sub_sup_method?(sub_sup) ⇒ Boolean

Returns:

  • (Boolean) 


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# File 'lib/plurimath/utility.rb', line 238

def sub_sup_method?(sub_sup)
  if sub_sup.methods.include?(:class_name)
    Html::Constants::SUB_SUP_CLASSES.value?(sub_sup.class_name.to_sym)
  end
end

.sup_recursion(sup_script, sup_recursion) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 966

def sup_recursion(sup_script, sup_recursion)
  power_class = Math::Function::Power
  new_sup = sup_recursion.parameter_one
  if new_sup.is_a?(power_class)
    sup_recursion(sup_script, new_sup)
    sup_recursion
  else
    sup_recursion.parameter_one = power_class.new(sup_script, new_sup)
    sup_recursion
  end
end

.symbol_object(value, lang: nil) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 625

def symbol_object(value, lang: nil)
  value = case value
          when "ℒ" then "{:"
          when "ℛ" then ":}"
          when "ᑕ" then "&#x2329;"
          when "ᑐ" then "&#x232a;"
          else value
          end
  symbols_class(value, lang: lang)
end

.symbol_prime?(obj) ⇒ Boolean

Returns:

  • (Boolean) 


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# File 'lib/plurimath/utility.rb', line 983

def symbol_prime?(obj)
  obj&.class&.const_defined?(:INPUT) &&
    primes_constants&.key(hexcode_in_input(obj))
end

.symbol_to_text(symbol, lang:) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 794

def symbol_to_text(symbol, lang:)
  case lang
  when :asciimath
    symbol.to_asciimath
  when :latex
    symbol.to_latex
  when :mathml
    symbol.to_mathml_without_math_tag.nodes.first
  when :omml
    symbol.to_omml_without_math_tag(true)
  when :unicodemath
    symbol.to_unicodemath
  end
end

.symbol_value(object, value) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 409

def symbol_value(object, value)
  (object.is_a?(Math::Symbols::Comma) if value&.include?(",")) ||
    (object.is_a?(Math::Symbols::Minus) if value&.include?("-")) ||
    (object.is_a?(Math::Symbols::Paren::Vert) if value&.include?("|")) ||
    (object.is_a?(Math::Symbols::Symbol) && object&.value&.include?(value)) ||
    (value == "\\\\" && object.is_a?(Math::Function::Linebreak))
end

.symbols_class(string, lang:, table: false) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 447

def symbols_class(string, lang:, table: false)
  return string unless string.is_a?(String) || string.is_a?(Parslet::Slice)
  return latex_table_curly_paren(string) if table && lang == :latex

  all_symbols_classes(lang)[string.to_s.strip]&.new ||
    Math::Symbols::Symbol.new(string)
end

.symbols_files ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 262

def symbols_files
  @@symbol_files ||= Dir.glob(File.join(__dir__, "math/symbols/", "*.rb"))
end

.symbols_hash(lang) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 270

def symbols_hash(lang)
  @@symbols ||= {}
  lang_symbols = @@symbols[lang]
  return lang_symbols if lang_symbols && !lang_symbols.empty?

  lang_symbols = {}
  symbols_files.map do |file_name|
    class_name = File.basename(file_name, ".rb")
    next if ["symbol", "paren"].include?(class_name)

    class_object = get_symbol_class(class_name)
    class_object::INPUT[lang].flatten&.each do |symbol|
      next if lang_symbols.key?(symbol)

      lang_symbols[symbol] = class_object
    end
  end
  @@symbols[lang] = lang_symbols.sort_by { |v, _| -v.length }.to_h
end

.table_options(table_data) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 199

def table_options(table_data)
  rowline = ""
  table_data.map do |tr|
    if tr&.parameter_one&.first&.parameter_one&.first.is_a?(Math::Symbols::Hline)
      rowline += "solid "
    else
      rowline += "none "
    end
  end
  options = { rowline: rowline.strip } if rowline.include?("solid")
  options || {}
end

.table_separator(separator, value, symbol: "solid") ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 468

def table_separator(separator, value, symbol: "solid")
  sep_symbol = Math::Function::Td.new([Math::Symbols::Paren::Vert.new])
  separator&.each_with_index do |sep, ind|
    next unless sep == symbol

    value.map do |val|
      val.parameter_one.insert((ind + 1), sep_symbol) if symbol == "solid"
      val.parameter_one.insert(ind, sep_symbol) if symbol == "|"
      (val.parameter_one[val.parameter_one.index(nil)] = Math::Function::Td.new([])) rescue nil
      val
    end
  end
  value
end

.table_td(object) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 615

def table_td(object)
  new_object = case object
               when Math::Function::Td
                 object
               else
                 Math::Function::Td.new([object])
               end
  Array(new_object)
end

.td_value(td_object) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 417

def td_value(td_object)
  str_classes = [String, Parslet::Slice]
  if str_classes.include?(td_object.class) && td_object.to_s.empty?
    return Math::Function::Text.new(nil)
  end

  td_object
end

.td_values(objects, slicer) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 398

def td_values(objects, slicer)
  sliced = objects.slice_when { |object, _| symbol_value(object, slicer) }
  tds = sliced.map do |slice|
    Math::Function::Td.new(
      slice.delete_if { |d| symbol_value(d, slicer) }.compact,
    )
  end
  tds << Math::Function::Td.new([]) if symbol_value(objects.last, slicer)
  tds
end

.ternary_function_classes(mrow) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 721

def ternary_function_classes(mrow)
  ternary_class = Math::Function::TernaryFunction
  if mrow.any?(ternary_class) && mrow.length > 1
    mrow.each_with_index do |object, ind|
      if object.is_a?(ternary_class)
        next if [Math::Function::Fenced, Math::Function::Multiscript].include?(object.class)
        next unless object.parameter_one || object.parameter_two
        next if object.parameter_three

        object.parameter_three = filter_values(mrow.delete_at(ind + 1))
      end
    end
  end
end

.text_classes(text, lang:) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 359

def text_classes(text, lang:)
  return nil unless text

  text = filter_values(text) unless text.is_a?(String)
  return text if text.is_a?(Math::Core)

  if text&.scan(/[[:digit:]]/)&.length == text&.length
    Math::Number.new(text)
  elsif text&.match?(/[a-zA-Z]/)
    Math::Function::Text.new(text)
  else
    text = string_to_html_entity(text)
            .gsub("&#x26;", "&")
            .gsub("&#x3c;", "<")
            .gsub("&#x27;", "'")
            .gsub("&#xa0;", " ")
            .gsub("&#x3e;", ">")
            .gsub("&#xa;", "\n")
    symbols_class(text, lang: lang)
  end
end

.transform_accents(accents, lang:) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 826

def transform_accents(accents, lang:)
  accents.reduce do |function, accent|
    if function.is_a?(Hash)
      if function[:prime_accent_symbols]
        Math::Function::Power.new(
          unfenced_value(accent_value(function, function: true, lang: lang), paren_specific: true),
          accent_value(accent, lang: lang),
        )
      else
        Math::Function::Overset.new(
          accent_value(accent, lang: lang),
          unfenced_value(accent_value(function, function: true, lang: lang), paren_specific: true),
          { accent: true }
        )
      end
    else
      if accent[:prime_accent_symbols]
        Math::Function::Power.new(
          unfenced_value(function, paren_specific: true),
          accent_value(accent, lang: lang),
        )
      else
        Math::Function::Overset.new(
          accent_value(accent, lang: lang),
          unfenced_value(function, paren_specific: true),
          { accent: true }
        )
      end
    end
  end
end

.unary_function_classes(mrow, lang:) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 705

def unary_function_classes(mrow, lang:)
  unary_class = Math::Function::UnaryFunction
  if mrow.any?(String) || mrow.any?(unary_class)
    mrow.each_with_index do |object, ind|
      mrow[ind] = mathml_unary_classes([object], lang: lang) if object.is_a?(String)
      object = mrow[ind] if object.is_a?(String)
      next unless object.is_a?(unary_class)
      next if object.is_a?(Math::Function::Text)
      next if object.parameter_one || mrow[ind + 1].nil?
      next unless ind.zero?

      object.parameter_one = mrow.delete_at(ind + 1)
    end
  end
end

.unfenced_value(object, paren_specific: false) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 582

def unfenced_value(object, paren_specific: false)
  case object
  when Math::Function::Fenced
    if !paren_specific || (paren_specific && valid_paren?(object))
      filter_values(object.parameter_two)
    else
      object
    end
  when Array
    filter_values(object)
  else
    object
  end
end

.unicode_accents(accents, lang: :unicodemath) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 809

def unicode_accents(accents, lang: :unicodemath)
  if accents.is_a?(Math::Function::BinaryFunction)
    accents
  else
    if accents.any? { |acc| acc&.dig(:first_value)&.is_a?(Array) }
      accent_value = accents.first[:first_value].pop
      first_value = accents.first[:first_value]
      accents.first[:first_value] = accent_value
      Math::Formula.new(
        first_value + [transform_accents(accents, lang: lang)]
      )
    else
      transform_accents(accents, lang: lang)
    end
  end
end

.unicode_fractions(fractions) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 866

def unicode_fractions(fractions)
  frac_arr = UnicodeMath::Constants::UNICODE_FRACTIONS[fractions.to_sym]
  Math::Function::Frac.new(
    Math::Number.new(frac_arr.first.to_s),
    Math::Number.new(frac_arr.last.to_s),
    { displaystyle: false, unicodemath_fraction: true }
  )
end

.update_nodes(element, nodes) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 333

def update_nodes(element, nodes)
  nodes&.each do |node|
    next update_nodes(element, node) if node.is_a?(Array)

    element << node unless node.nil?
  end
  element
end

.updated_primes(prime) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 875

def updated_primes(prime)
  filter_values(
    prime.to_s.scan(UNICODE_REGEX).map do |str|
      symbols_class(str, lang: :unicodemath)
    end
  )
end

.valid_class(object) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 662

def valid_class(object)
  text = object.extract_class_name_from_text
  (object.extractable? && Asciimath::Constants::SUB_SUP_CLASSES.include?(text)) ||
    Latex::Constants::SYMBOLS[text.to_sym] == :power_base
end

.valid_paren?(object) ⇒ Boolean

Returns:

  • (Boolean) 


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# File 'lib/plurimath/utility.rb', line 597

def valid_paren?(object)
  object.parameter_one.is_a?(Math::Symbols::Paren::Lround) &&
    object.parameter_three.is_a?(Math::Symbols::Paren::Rround) &&
    !object.options.keys.any? { |k| [:open_paren, :close_paren].any?(k.to_sym) } &&
    !object.parameter_one.mini_sup_sized &&
    !object.parameter_three.mini_sub_sized &&
    object.options.empty?
end

.validate_left_right(fields = []) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 645

def validate_left_right(fields = [])
  fields.each do |field|
    if field.is_a?(Math::Formula) && field.value.first.is_a?(Math::Function::Left)
      field.left_right_wrapper = true
    end
  end
end

.validate_math_zone(object, lang:) ⇒ Object 



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# File 'lib/plurimath/utility.rb', line 761

def validate_math_zone(object, lang:)
  return false unless object

  if object.is_a?(Math::Formula)
    filter_math_zone_values(object.value, lang: lang).find do |value|
      !(value.is_a?(Math::Function::Text) || value.is_a?(Math::Symbols::Symbol))
    end
  else
    !(TEXT_CLASSES.include?(object.class_name) || object.is_a?(Math::Symbols::Symbol))
  end
end