Module: Unitsml::Utility

Extended by:
Unitsdb
Defined in:
lib/unitsml/utility.rb

Constant Summary collapse

UNITSML_NS = 
"https://schema.unitsml.org/unitsml/1.0".freeze
U2D =

Unit to dimension

{
  "m" => { dimension: "Length", order: 1, symbol: "L" },
  "g" => { dimension: "Mass", order: 2, symbol: "M" },
  "kg" => { dimension: "Mass", order: 2, symbol: "M" },
  "s" => { dimension: "Time", order: 3, symbol: "T" },
  "A" => { dimension: "ElectricCurrent", order: 4, symbol: "I" },
  "K" => { dimension: "ThermodynamicTemperature", order: 5,
           symbol: "Theta" },
  "degK" => { dimension: "ThermodynamicTemperature", order: 5,
              symbol: "Theta" },
  "mol" => { dimension: "AmountOfSubstance", order: 6, symbol: "N" },
  "cd" => { dimension: "LuminousIntensity", order: 7, symbol: "J" },
  "deg" => { dimension: "PlaneAngle", order: 8, symbol: "phi" },
}.freeze
Dim2D =

Dimesion for dim_(dimesion) input

{
  "dim_L" => U2D["m"],
  "dim_M" => U2D["g"],
  "dim_T" => U2D["s"],
  "dim_I" => U2D["A"],
  "dim_Theta" => U2D["K"],
  "dim_N" => U2D["mol"],
  "dim_J" => U2D["cd"],
  "dim_phi" => U2D["deg"],
}.freeze
DIMS_VECTOR = 
%w[
  ThermodynamicTemperature
  AmountOfSubstance
  LuminousIntensity
  ElectricCurrent
  PlaneAngle
  Length
  Mass
  Time
].freeze

Class Method Summary collapse

Methods included from Unitsdb

dimensions_hash, filtered_units, find_id, insert_vectors, load_dimensions, load_units, load_yaml, parsable_dimensions, prefixes_hash, prefixs_ids, quantities, underscore, units, valid_path, vector

Class Method Details

.combine_prefixes(p1, p2) ⇒ Object 



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# File 'lib/unitsml/utility.rb', line 126

def combine_prefixes(p1, p2)
  return nil if p1.nil? && p2.nil?
  return p1.symbolid if p2.nil?
  return p2.symbolid if p1.nil?
  return "unknown" if p1.base != p2.base

  Unitsdb.prefixes_hash.each do |prefix_name, _|
    p = prefix_object(prefix_name)
    return p if p.base == p1.base && p.power == p1.power + p2.power
  end

  "unknown"
end

.decompose_unit(u) ⇒ Object 



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# File 'lib/unitsml/utility.rb', line 84

def decompose_unit(u)
  if u&.unit_name == "g" || u.system_type == "SI_base"
    { unit: u, prefix: u&.prefix }
  elsif !u.si_derived_bases
    { unit: Unit.new("unknown") }
  else
    u.si_derived_bases.each_with_object([]) do |k, m|
      prefix = if !k["prefix"].nil? && !k["prefix"].empty?
                 combine_prefixes(prefix_object(k["prefix"]), u.prefix)
               else
                 u.prefix
               end
      unit_name = Unitsdb.load_units.dig(k.dig("id"), "unit_symbols", 0, "id")
      exponent = (k["power"]&.to_i || 1) * (u.power_numerator&.to_f || 1)
      m << { prefix: prefix,
             unit: Unit.new(unit_name, exponent, prefix: prefix),
           }
    end
  end
end

.decompose_units_list(units) ⇒ Object 



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# File 'lib/unitsml/utility.rb', line 80

def decompose_units_list(units)
  gather_units(units.map { |u| decompose_unit(u) }.flatten)
end

.dim_id(dims) ⇒ Object 



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# File 'lib/unitsml/utility.rb', line 67

def dim_id(dims)
  return nil if dims.nil? || dims.empty?

  dimensions = Unitsdb.dimensions_hash.values
  dim_hash = dims.each_with_object({}) { |h, m| m[h[:dimension]] = h }
  dims_vector = DIMS_VECTOR.map { |h| dim_hash.dig(h, :exponent) }.join(":")
  id = dimensions.select { |d| d[:vector] == dims_vector }&.first&.dig(:id) and return id.to_s
  "D_" + dims.map do |d|
    (U2D.dig(d[:unit], :symbol) || Dim2D.dig(d[:id], :symbol)) +
      (d[:exponent] == 1 ? "" : float_to_display(d[:exponent]))
  end.join("")
end

.dimension(norm_text) ⇒ Object 



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

def dimension(norm_text)
  return unless fields(norm_text)&.dig("dimension_url")

  dim_id = fields(norm_text).dig("dimension_url").sub("#", '')
  dim_node = ox_element("Dimension", attributes: { xmlns: UNITSML_NS, "xml:id": dim_id })
  Ox.dump(
    update_nodes(
      dim_node,
      dimid2dimensions(dim_id)&.compact&.map { |u| dimension1(u) }
    )
  )
end

.dimension1(dim) ⇒ Object 



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# File 'lib/unitsml/utility.rb', line 204

def dimension1(dim)
  attributes = {
    symbol: dim[:symbol],
    powerNumerator: float_to_display(dim[:exponent])
  }
  ox_element(dim[:dimension], attributes: attributes)
end

.dimension_components(dims) ⇒ Object 



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# File 'lib/unitsml/utility.rb', line 267

def dimension_components(dims)
  return if dims.nil? || dims.empty?

  attributes = { xmlns: UNITSML_NS, "xml:id": dim_id(dims) }
  dim_node = ox_element("Dimension", attributes: attributes)
  Ox.dump(update_nodes(dim_node, dims.map { |u| dimension1(u) }))
end

.dimid2dimensions(normtext) ⇒ Object 



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# File 'lib/unitsml/utility.rb', line 216

def dimid2dimensions(normtext)
  dims ||= Unitsdb.load_dimensions[normtext]
  dims&.keys&.reject { |d| d.is_a?(Symbol) }&.map do |k|
    humanized = k.split("_").map(&:capitalize).join
    next unless DIMS_VECTOR.include?(humanized)

    {
      dimension: humanized,
      symbol: dims.dig(k, "symbol"),
      exponent: dims.dig(k, "powerNumerator")
    }
  end
end

.display_exp(unit) ⇒ Object 



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# File 'lib/unitsml/utility.rb', line 165

def display_exp(unit)
  unit.power_numerator && unit.power_numerator != "1" ? "^#{unit.power_numerator}" : ""
end

.fields(unit) ⇒ Object 



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# File 'lib/unitsml/utility.rb', line 48

def fields(unit)
  Unitsdb.units.dig(unit, :fields)
end

.float_to_display(float) ⇒ Object 



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

def float_to_display(float)
  float.to_f.round(1).to_s.sub(/\.0$/, "")
end

.gather_units(units) ⇒ Object 



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# File 'lib/unitsml/utility.rb', line 105

def gather_units(units)
  units.sort_by { |a| a[:unit]&.unit_name }.each_with_object([]) do |k, m|
    if m.empty? || m[-1][:unit]&.unit_name != k[:unit]&.unit_name
      m << k
    else
      m[-1][:unit]&.power_numerator = (k[:unit]&.power_numerator&.to_f || 1) + (m[-1][:unit]&.power_numerator&.to_f || 1)
      m[-1] = {
        prefix: combine_prefixes(prefix_object(m[-1][:prefix]), prefix_object(k[:prefix])),
        unit: m[-1][:unit],
      }
    end
  end
end

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



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# File 'lib/unitsml/utility.rb', line 299

def ox_element(node, attributes: [])
  element = Ox::Element.new(node)
  attributes&.each { |attr_key, attr_value| element[attr_key] = attr_value }
  element
end

.postprocess_normtext(units) ⇒ Object 



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# File 'lib/unitsml/utility.rb', line 161

def postprocess_normtext(units)
  units.map { |u| "#{u.prefix_name}#{u.unit_name}#{display_exp(u)}" }.join("*")
end

.prefix_object(prefix) ⇒ Object 



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# File 'lib/unitsml/utility.rb', line 119

def prefix_object(prefix)
  return prefix unless prefix.is_a?(String)
  return nil unless Unitsdb.prefixes.any?(prefix)

  prefix.is_a?(String) ? Prefix.new(prefix) : prefix
end

.prefixes(units) ⇒ Object 



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# File 'lib/unitsml/utility.rb', line 230

def prefixes(units)
  uniq_prefixes = units.map { |unit| unit.prefix }.compact.uniq {|d| d.prefix_name }
  uniq_prefixes.map do |p|
    prefix_attr = { xmlns: UNITSML_NS, prefixBase: p&.base, prefixPower: p&.power, "xml:id": p&.id }
    prefix_node = ox_element("Prefix", attributes: prefix_attr)
    contents = []
    contents << (ox_element("PrefixName", attributes: { "xml:lang": "en" }) << p&.name)
    contents << (ox_element("PrefixSymbol", attributes: { type: "ASCII" }) << p&.to_asciimath)
    contents << (ox_element("PrefixSymbol", attributes: { type: "unicode" }) << p&.to_unicode)
    contents << (ox_element("PrefixSymbol", attributes: { type: "LaTex" }) << p&.to_latex)
    contents << (ox_element("PrefixSymbol", attributes: { type: "HTML" }) << p&.to_html)
    Ox.dump(update_nodes(prefix_node, contents)).gsub("&amp;", "&")
  end.join("\n")
end

.quantity(normtext, quantity) ⇒ Object 



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# File 'lib/unitsml/utility.rb', line 275

def quantity(normtext, quantity)
  units = Unitsdb.units
  quantity_references = units.dig(normtext, :fields, "quantity_reference")
  return unless units[normtext] && quantity_references.size == 1 ||
    Unitsdb.quantities[quantity]

  id = quantity || quantity_references&.first&.dig("url")
  attributes = { xmlns: UNITSML_NS, "xml:id": id.sub('#', '') }
  dim_url = units.dig(normtext, :fields, "dimension_url")
  dim_url and attributes[:dimensionURL] = "#{dim_url}"
  attributes[:quantityType] = "base"
  quantity_element = ox_element("Quantity", attributes: attributes)
  Ox.dump(update_nodes(quantity_element, quantity_name(id.sub('#', ''))))
end

.quantity_name(id) ⇒ Object 



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

def quantity_name(id)
  ret = []
  Unitsdb.quantities[id]&.dig("quantity_name")&.each do |q|
    node = (ox_element("QuantityName", attributes: { "xml:lang": "en-US" }) << q)
    ret << node
  end
  ret
end

.rootunits(units) ⇒ Object 



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# File 'lib/unitsml/utility.rb', line 245

def rootunits(units)
  return if units.size == 1 && !units[0].prefix

  root_unit = ox_element("RootUnits")
  units.each do |u|
    attributes = { unit: u.enumerated_name }
    attributes[:prefix] = u.prefix_name if u.prefix
    u.power_numerator && u.power_numerator != "1" and
      attributes[:powerNumerator] = u.power_numerator
    root_unit << ox_element("EnumeratedRootUnit", attributes: attributes)
  end
  root_unit
end

.unit(units, formula, dims, norm_text, name) ⇒ Object 



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# File 'lib/unitsml/utility.rb', line 140

def unit(units, formula, dims, norm_text, name)
  attributes = { xmlns: UNITSML_NS, "xml:id": unit_id(norm_text) }
  attributes[:dimensionURL] = "##{dim_id(dims)}" if dims
  unit_node = ox_element("Unit", attributes: attributes)
  nodes = Array(unitsystem(units))
  nodes += Array(unitname(units, norm_text, name))
  nodes += Array(unitsymbols(formula))
  nodes += Array(rootunits(units))
  Ox.dump(update_nodes(unit_node, nodes))
    .gsub("&lt;", "<")
    .gsub("&gt;", ">")
    .gsub("&amp;", "&")
    .gsub(/−/, "&#x2212;")
    .gsub(/⋅/, "&#x22c5;")
end

.unit_id(text) ⇒ Object 



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# File 'lib/unitsml/utility.rb', line 259

def unit_id(text)
  norm_text = text
  text = text&.gsub(/[()]/, "")
  /-$/.match(text) and return Unitsdb.prefixes[text.sub(/-$/, "")][:id]
  unit_hash = Unitsdb.units[norm_text]
  "U_#{unit_hash ? unit_hash[:id]&.gsub(/'/, '_') : norm_text&.gsub(/\*/, '.')&.gsub(/\^/, '')}"
end

.unitname(units, text, name) ⇒ Object 



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# File 'lib/unitsml/utility.rb', line 156

def unitname(units, text, name)
  name ||= Unitsdb.units[text] ? Unit.new(text).enumerated_name : text
  ox_element("UnitName", attributes: { "xml:lang": "en" }) << name
end

.units2dimensions(units) ⇒ Object 



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# File 'lib/unitsml/utility.rb', line 52

def units2dimensions(units)
  norm = decompose_units_list(units)
  return if norm.any? { |u| u.nil? || u[:unit].unit_name == "unknown" || u[:prefix] == "unknown" }

  norm.map do |u|
    unit_name = u[:unit].unit_name
    {
      dimension: U2D[unit_name][:dimension],
      unit: unit_name,
      exponent: u[:unit].power_numerator || 1,
      symbol: U2D[unit_name][:symbol],
    }
  end.sort { |a, b| U2D[a[:unit]][:order] <=> U2D[b[:unit]][:order] }
end

.unitsymbols(formula) ⇒ Object 



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# File 'lib/unitsml/utility.rb', line 169

def unitsymbols(formula)
  [
    (ox_element("UnitSymbol", attributes: { type: "HTML" }) << formula.to_html),
    (ox_element("UnitSymbol", attributes: { type: "MathMl" }) << Ox.parse(formula.to_mathml)),
  ]
end

.unitsystem(units) ⇒ Object 



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# File 'lib/unitsml/utility.rb', line 176

def unitsystem(units)
  ret = []
  if units.any? { |u| u.system_name != "SI" }
    ret << ox_element("UnitSystem", attributes: { name: "not_SI", type: "not_SI", "xml:lang": 'en-US' })
  end
  if units.any? { |u| u.system_name == "SI" }
    if units.size == 1
      base = units[0].system_type == "SI-base"
      base = true if units[0].unit_name == "g" && units[0]&.prefix_name == "k"
    end
    ret << ox_element("UnitSystem", attributes: { name: "SI", type: (base ? 'SI_base' : 'SI_derived'), "xml:lang": 'en-US' })
  end
  ret
end

.update_nodes(element, nodes) ⇒ Object 



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# File 'lib/unitsml/utility.rb', line 305

def update_nodes(element, nodes)
  nodes&.each { |node| element << node unless node.nil? }
  element
end