Class: Plurimath::Math::Formula

Inherits:
Core
  • Object
show all
Includes:
Plurimath::Mathml::FormulaTransformation
Defined in:
lib/plurimath/math/formula.rb,
lib/plurimath/math/formula/mrow.rb,
lib/plurimath/math/formula/mstyle.rb

Direct Known Subclasses

Mrow, Mstyle

Defined Under Namespace

Classes: Mrow, Mstyle

Constant Summary collapse

POWER_BASE_CLASSES =
%w[powerbase power base].freeze
DERIVATIVE_CONSTS =
["𝑑", "ⅅ", "ⅆ", "d"].freeze
MATH_ZONE_TYPES =
%i[omml latex mathml asciimath unicodemath].freeze
OMML_NAMESPACES =
{
  "xmlns:m": "http://schemas.openxmlformats.org/officeDocument/2006/math",
  "xmlns:mc": "http://schemas.openxmlformats.org/markup-compatibility/2006",
  "xmlns:mo": "http://schemas.microsoft.com/office/mac/office/2008/main",
  "xmlns:mv": "urn:schemas-microsoft-com:mac:vml",
  "xmlns:o": "urn:schemas-microsoft-com:office:office",
  "xmlns:r": "http://schemas.openxmlformats.org/officeDocument/2006/relationships",
  "xmlns:v": "urn:schemas-microsoft-com:vml",
  "xmlns:w": "http://schemas.openxmlformats.org/wordprocessingml/2006/main",
  "xmlns:w10": "urn:schemas-microsoft-com:office:word",
  "xmlns:w14": "http://schemas.microsoft.com/office/word/2010/wordml",
  "xmlns:w15": "http://schemas.microsoft.com/office/word/2012/wordml",
  "xmlns:wne": "http://schemas.microsoft.com/office/word/2006/wordml",
  "xmlns:wp": "http://schemas.openxmlformats.org/drawingml/2006/wordprocessingDrawing",
  "xmlns:wp14": "http://schemas.microsoft.com/office/word/2010/wordprocessingDrawing",
  "xmlns:wpc": "http://schemas.microsoft.com/office/word/2010/wordprocessingCanvas",
  "xmlns:wpg": "http://schemas.microsoft.com/office/word/2010/wordprocessingGroup",
  "xmlns:wpi": "http://schemas.microsoft.com/office/word/2010/wordprocessingInk",
  "xmlns:wps": "http://schemas.microsoft.com/office/word/2010/wordprocessingShape",
}.freeze

Constants inherited from Core

Core::ALL_PARAMETERS, Core::REPLACABLES

Instance Attribute Summary collapse

Instance Method Summary collapse

Methods inherited from Core

#ascii_fields_to_print, #class_name, #close?, #common_math_zone_conversion, descendants, #divide_operator?, #dump_mathml, #dump_nodes, #dump_omml, #dump_ox_nodes, #empty_tag, #extractable?, #filtered_values, #font_style_t_tag, #get, #gsub_spacing, inherited, #insert_t_tag, #invert_unicode_symbols, #is_binary_function?, #is_mrow?, #is_mstyle?, #is_nary_function?, #is_nary_symbol?, #is_ternary_function?, #is_unary?, #latex_fields_to_print, #linebreak?, #mathml_fields_to_print, #mathml_nodes, #minus_operator?, #msty_tag_with_attrs, #multiply_operator?, #nary_intent_name, #omml_fields_to_print, #omml_nodes, #omml_parameter, #omml_tag_name, #open?, #operator?, #ox_element, #paren?, #plus_operator?, #power_operator?, #pretty_print_instance_variables, #prime_unicode?, #r_element, #replacable_values, #reserved_constant, #result, #separate_table, #set, #symbol?, #tag_name, #to_ms_value, #unicodemath_fields_to_print, #unicodemath_parens, #updated_object_values, #validate_mathml_fields, #variable_name, #variable_value, #variables

Constructor Details

#initialize(value = [], left_right_wrapper = true, display_style: true, input_string: nil) ⇒ Formula

Returns a new instance of Formula.



38
39
40
41
42
43
44
45
46
47
48
# File 'lib/plurimath/math/formula.rb', line 38

def initialize(
  value = [],
  left_right_wrapper = true,
  display_style: true,
  input_string: nil
)
  @value = value.is_a?(Array) ? value : [value]
  left_right_wrapper = false if @value.first.is_a?(Function::Left)
  @left_right_wrapper = left_right_wrapper
  @displaystyle = boolean_display_style(display_style)
end

Instance Attribute Details

#displayObject

Returns the value of attribute display.



11
12
13
# File 'lib/plurimath/math/formula.rb', line 11

def display
  @display
end

#displaystyleObject

Returns the value of attribute displaystyle.



11
12
13
# File 'lib/plurimath/math/formula.rb', line 11

def displaystyle
  @displaystyle
end

#input_stringObject

Returns the value of attribute input_string.



11
12
13
# File 'lib/plurimath/math/formula.rb', line 11

def input_string
  @input_string
end

#left_right_wrapperObject

Returns the value of attribute left_right_wrapper.



11
12
13
# File 'lib/plurimath/math/formula.rb', line 11

def left_right_wrapper
  @left_right_wrapper
end

#valueObject

Returns the value of attribute value.



11
12
13
# File 'lib/plurimath/math/formula.rb', line 11

def value
  @value
end

Instance Method Details

#==(object) ⇒ Object



50
51
52
53
54
55
# File 'lib/plurimath/math/formula.rb', line 50

def ==(object)
  object.respond_to?(:value) &&
    object.respond_to?(:left_right_wrapper) &&
    object.value == value &&
    object.left_right_wrapper == left_right_wrapper
end

#cloned_objectsObject



310
311
312
313
314
315
# File 'lib/plurimath/math/formula.rb', line 310

def cloned_objects
  cloned_obj = value.map(&:cloned_objects)
  formula = self.class.new(cloned_obj)
  formula.left_right_wrapper = @left_right_wrapper
  formula
end

#evaluate(bindings = {}) ⇒ Object



57
58
59
60
61
62
63
64
# File 'lib/plurimath/math/formula.rb', line 57

def evaluate(bindings = {})
  hash = bindings.to_hash if bindings.respond_to?(:to_hash)
  unless hash.is_a?(Hash)
    raise ArgumentError, "bindings must be a Hash-like object"
  end

  Evaluation::Evaluator.new(self, hash).evaluate
end

#extract_class_name_from_textObject



288
289
290
291
292
# File 'lib/plurimath/math/formula.rb', line 288

def extract_class_name_from_text
  return unless value.length < 2 && value.first.is_a?(Function::Text)

  value.first.parameter_one
end

#insert(values) ⇒ Object



349
350
351
# File 'lib/plurimath/math/formula.rb', line 349

def insert(values)
  update(Array(value) + values)
end

#intent=(value) ⇒ Object



392
393
394
395
396
397
398
399
400
401
402
403
404
# File 'lib/plurimath/math/formula.rb', line 392

def intent=(value)
  return unless value

  self.content = nil
  update(
    [
      Function::Intent.new(
        filter_values(@value, array_to_instance: true),
        Function::Text.new(value),
      ),
    ],
  )
end

#intent_namesObject



357
358
359
360
361
362
# File 'lib/plurimath/math/formula.rb', line 357

def intent_names
  {
    partial_derivative: ":partial-derivative",
    derivative: ":derivative",
  }
end

#line_breaked_mathml(display_style, intent, options:) ⇒ Object



110
111
112
113
114
115
116
117
118
119
# File 'lib/plurimath/math/formula.rb', line 110

def line_breaked_mathml(display_style, intent, options:)
  new_line_support.map do |formula|
    formula.to_mathml(
      display_style: display_style,
      intent: intent,
      formatter: options[:formatter],
      unary_function_spacing: options[:unary_function_spacing],
    )
  end.join
end

#line_breaking(obj) ⇒ Object



325
326
327
328
329
330
331
332
333
334
335
336
337
338
# File 'lib/plurimath/math/formula.rb', line 325

def line_breaking(obj)
  if result.size > 1
    breaked_result = result.first.last.omml_line_break(result)
    update(Array(breaked_result.shift))
    obj.update(breaked_result.flatten)
    reprocess_value(obj)
    return
  end

  value.each.with_index(1) do |object, index|
    object.line_breaking(obj)
    break obj.insert(value.slice!(index..value.size)) if obj.value_exist?
  end
end

#mathcolor=(value) ⇒ Object

Attributes start



365
366
367
368
369
370
371
372
373
374
375
376
# File 'lib/plurimath/math/formula.rb', line 365

def mathcolor=(value)
  return if value.nil? || value.empty?

  update(
    [
      Math::Function::Color.new(
        Math::Function::Text.new(value),
        filter_values(@value, array_to_instance: true),
      ),
    ],
  )
end

#mathml_content(intent, options:) ⇒ Object



133
134
135
136
137
138
139
# File 'lib/plurimath/math/formula.rb', line 133

def mathml_content(intent, options:)
  nodes = value.map do |val|
    val.to_mathml_without_math_tag(intent, options: options)
  end
  intent_post_processing(nodes, intent) if intent
  nodes
end

#mathvariant=(value) ⇒ Object



378
379
380
381
382
383
384
385
386
387
388
389
390
# File 'lib/plurimath/math/formula.rb', line 378

def mathvariant=(value)
  return if value.nil? || value.empty?
  return unless Plurimath::Utility::FONT_STYLES.key?(value.to_sym)

  update(
    [
      Plurimath::Utility::FONT_STYLES[value.to_sym].new(
        filter_values(@value, array_to_instance: true),
        value,
      ),
    ],
  )
end

#mini_sized?Boolean

Returns:

  • (Boolean)


353
354
355
# File 'lib/plurimath/math/formula.rb', line 353

def mini_sized?
  true if value&.first&.mini_sized?
end

#nary_attr_value(options:) ⇒ Object



294
295
296
# File 'lib/plurimath/math/formula.rb', line 294

def nary_attr_value(options:)
  value.first.nary_attr_value(options: Hash.new(options))
end

#new_line_support(array = []) ⇒ Object



317
318
319
320
321
322
323
# File 'lib/plurimath/math/formula.rb', line 317

def new_line_support(array = [])
  cloned = cloned_objects
  obj = self.class.new
  cloned.line_breaking(obj)
  array << cloned
  obj.value_exist? ? obj.new_line_support(array) : array
end

#omml_content(display_style, options:) ⇒ Object



179
180
181
# File 'lib/plurimath/math/formula.rb', line 179

def omml_content(display_style, options:)
  value&.map { |val| val.insert_t_tag(display_style, options: options) }
end

#reprocess_value(obj) ⇒ Object



340
341
342
343
344
345
346
347
# File 'lib/plurimath/math/formula.rb', line 340

def reprocess_value(obj)
  new_obj = self.class.new([])
  line_breaking(new_obj)
  if new_obj.value_exist?
    obj.value.insert(0, Function::Linebreak.new)
    obj.value.insert(0, self.class.new(new_obj.value))
  end
end

#to_asciimath(formatter: nil, unitsml: {}, options: nil) ⇒ Object



66
67
68
69
70
71
72
73
74
# File 'lib/plurimath/math/formula.rb', line 66

def to_asciimath(formatter: nil, unitsml: {}, options: nil)
  options ||= { formatter: formatter, unitsml: unitsml }.compact
  options[:formula] ||= self
  wrap_render_error(:asciimath) do
    value.map do |val|
      val.to_asciimath(options: asciimath_table_options(options, val))
    end.join(" ")
  end
end

#to_asciimath_math_zone(spacing = "", last = false, indent = true, options:) ⇒ Object



239
240
241
242
243
244
245
246
247
# File 'lib/plurimath/math/formula.rb', line 239

def to_asciimath_math_zone(spacing = "", last = false, indent = true,
options:)
  filtered_values(value,
                  lang: :asciimath).map.with_index(1) do |object, index|
    last = index == @values.length
    object.to_asciimath_math_zone(new_space(spacing, indent), last,
                                  indent, options: options)
  end
end

#to_display(type = nil, formatter: nil, unitsml: {}, unary_function_spacing: true) ⇒ Object



197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
# File 'lib/plurimath/math/formula.rb', line 197

def to_display(type = nil, formatter: nil, unitsml: {},
unary_function_spacing: true)
  options = {
    formatter: formatter,
    unitsml: unitsml,
    unary_function_spacing: unary_function_spacing,
  }
  options[:formula] ||= self
  return type_error!(type) unless MATH_ZONE_TYPES.include?(type.downcase.to_sym)

  math_zone = case type
              when :asciimath
                "  |_ \"#{to_asciimath(options: options)}\"\n#{to_asciimath_math_zone(
                  '     ', options: options
                ).join}"
              when :latex
                "  |_ \"#{to_latex(options: options)}\"\n#{to_latex_math_zone(
                  '     ', options: options
                ).join}"
              when :mathml
                mathml = to_mathml(formatter: formatter, unary_function_spacing: options[:unary_function_spacing]).gsub(
                  /\n\s*/, ""
                )
                math_display = to_mathml_math_zone("     ",
                                                   options: options).join
                "  |_ \"#{mathml}\"\n#{math_display}"
              when :omml
                omml = to_omml.gsub(/\n\s*/, "")
                omml_display = to_omml_math_zone("     ",
                                                 display_style: displaystyle, options: options).join
                "  |_ \"#{omml}\"\n#{omml_display}"
              when :unicodemath
                "  |_ \"#{to_unicodemath(options: options)}\"\n#{to_unicodemath_math_zone(
                  '     ', options: options
                ).join}"
              end
  <<~MATHZONE.sub(/\n$/, "")
    |_ Math zone
    #{math_zone}
  MATHZONE
end

#to_html(formatter: nil, unitsml: {}, options: nil) ⇒ Object



149
150
151
152
153
154
155
# File 'lib/plurimath/math/formula.rb', line 149

def to_html(formatter: nil, unitsml: {}, options: nil)
  options ||= { formatter: formatter, unitsml: unitsml }.compact
  options[:formula] ||= self
  wrap_render_error(:html) do
    value&.map { |val| val.to_html(options: options) }&.join(" ")
  end
end

#to_latex(formatter: nil, unitsml: {}, options: nil) ⇒ Object



141
142
143
144
145
146
147
# File 'lib/plurimath/math/formula.rb', line 141

def to_latex(formatter: nil, unitsml: {}, options: nil)
  options ||= { formatter: formatter, unitsml: unitsml }.compact
  options[:formula] ||= self
  wrap_render_error(:latex) do
    value.map { |val| val.to_latex(options: options) }.join(" ")
  end
end

#to_latex_math_zone(spacing = "", last = false, indent = true, options:) ⇒ Object



249
250
251
252
253
254
255
256
257
# File 'lib/plurimath/math/formula.rb', line 249

def to_latex_math_zone(spacing = "", last = false, indent = true,
options:)
  filtered_values(value,
                  lang: :latex).map.with_index(1) do |object, index|
    last = index == @values.length
    object.to_latex_math_zone(new_space(spacing, indent), last, indent,
                              options: options)
  end
end

#to_mathml(intent: false, formatter: nil, unitsml: {}, split_on_linebreak: false, display_style: displaystyle, unary_function_spacing: true) ⇒ Object



76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
# File 'lib/plurimath/math/formula.rb', line 76

def to_mathml(
  intent: false,
  formatter: nil,
  unitsml: {},
  split_on_linebreak: false,
  display_style: displaystyle,
  unary_function_spacing: true
)
  options = {
    formatter: formatter,
    unitsml: unitsml,
    unary_function_spacing: unary_function_spacing,
  }.compact
  options[:formula] ||= self
  if split_on_linebreak
    return line_breaked_mathml(display_style, intent,
                               options: options)
  end

  wrap_render_error(:mathml) do
    math_attrs = {
      xmlns: "http://www.w3.org/1998/Math/MathML",
      display: "block",
    }
    style_attrs = { displaystyle: boolean_display_style(display_style) }
    math  = ox_element("math", attributes: math_attrs)
    style = ox_element("mstyle", attributes: style_attrs)
    Utility.update_nodes(style, mathml_content(intent, options: options))
    Utility.update_nodes(math, [style])
    unitsml_post_processing(math, style)
    dump_nodes(math, indent: 2)
  end
end

#to_mathml_math_zone(spacing = "", last = false, indent = true, options:) ⇒ Object



259
260
261
262
263
264
265
266
267
# File 'lib/plurimath/math/formula.rb', line 259

def to_mathml_math_zone(spacing = "", last = false, indent = true,
options:)
  filtered_values(value, lang: :mathml,
                         options: options).map.with_index(1) do |object, index|
    last = index == @values.length
    object.to_mathml_math_zone(new_space(spacing, indent), last, indent,
                               options: options)
  end
end

#to_mathml_without_math_tag(intent, options:) ⇒ Object



121
122
123
124
125
126
127
128
129
130
131
# File 'lib/plurimath/math/formula.rb', line 121

def to_mathml_without_math_tag(intent, options:)
  unless left_right_wrapper
    return mathml_content(intent,
                          options: options)
  end

  mathml_value = mathml_content(intent, options: options)
  attributes = intent_attribute(mathml_value) if intent
  mrow = ox_element("mrow", attributes: attributes)
  Utility.update_nodes(mrow, mathml_value)
end

#to_omml(display_style: displaystyle, split_on_linebreak: false, formatter: nil, unitsml: {}) ⇒ Object



157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
# File 'lib/plurimath/math/formula.rb', line 157

def to_omml(display_style: displaystyle, split_on_linebreak: false,
formatter: nil, unitsml: {})
  wrap_render_error(:omml) do
    objects = split_on_linebreak ? new_line_support : [self]
    options = { formatter: formatter, unitsml: unitsml }.compact
    options[:formula] ||= self
    para_element = Utility.ox_element("oMathPara",
                                      attributes: OMML_NAMESPACES, namespace: "m")
    objects.each.with_index(1) do |object, index|
      para_element << Utility.update_nodes(
        Utility.ox_element("oMath", namespace: "m"),
        object.omml_content(boolean_display_style(display_style),
                            options: options),
      )
      next if objects.length == index

      para_element << omml_br_tag
    end
    dump_nodes(para_element, indent: 2)
  end
end

#to_omml_math_zone(spacing = "", last = false, indent = true, display_style:, options:) ⇒ Object



269
270
271
272
273
274
275
276
# File 'lib/plurimath/math/formula.rb', line 269

def to_omml_math_zone(spacing = "", last = false, indent = true,
display_style:, options:)
  filtered_values(value, lang: :omml).map.with_index(1) do |object, index|
    last = index == @values.length
    object.to_omml_math_zone(new_space(spacing, indent), last, indent,
                             display_style: display_style, options: options)
  end
end

#to_omml_without_math_tag(display_style, options:) ⇒ Object



183
184
185
# File 'lib/plurimath/math/formula.rb', line 183

def to_omml_without_math_tag(display_style, options:)
  omml_content(display_style, options: options)
end

#to_unicodemath(formatter: nil, unitsml: {}, options: nil) ⇒ Object



187
188
189
190
191
192
193
194
195
# File 'lib/plurimath/math/formula.rb', line 187

def to_unicodemath(formatter: nil, unitsml: {}, options: nil)
  options ||= { formatter: formatter, unitsml: unitsml }.compact
  options[:formula] ||= self
  wrap_render_error(:unicodemath) do
    Utility.html_entity_to_unicode(unicodemath_value(options: options)).gsub(
      /\s\/\s/, "/"
    )
  end
end

#to_unicodemath_math_zone(spacing = "", last = false, indent = true, options:) ⇒ Object



278
279
280
281
282
283
284
285
286
# File 'lib/plurimath/math/formula.rb', line 278

def to_unicodemath_math_zone(spacing = "", last = false, indent = true,
options:)
  filtered_values(value,
                  lang: :unicodemath).map.with_index(1) do |object, index|
    last = index == @values.length
    object.to_unicodemath_math_zone(new_space(spacing, indent), last,
                                    indent, options: options)
  end
end

#update(object) ⇒ Object



306
307
308
# File 'lib/plurimath/math/formula.rb', line 306

def update(object)
  @value = Array(object).flatten.compact
end

#validate_function_formulaObject



298
299
300
# File 'lib/plurimath/math/formula.rb', line 298

def validate_function_formula
  value.none?(Function::Left) || value.none?(Function::Right)
end

#value_exist?Boolean

Returns:

  • (Boolean)


302
303
304
# File 'lib/plurimath/math/formula.rb', line 302

def value_exist?
  value && !value.empty?
end