Class: GridGenerator::Megaminx::FaceProjection

Inherits:
Object
  • Object
show all
Defined in:
lib/grid_generator/megaminx/face_projection.rb

Constant Summary collapse

COLOURS = 
{
  fill: "#d0d0d0",
  stroke: "#404040"
}

Instance Attribute Summary collapse

Instance Method Summary collapse

Constructor Details

#initialize(x:, y:, units:, front_face_elements: "", top_right_face_elements: "", right_face_elements: "", down_face_elements: "", left_face_elements: "", top_left_face_elements: "", rotation_offset: 0) ⇒ FaceProjection

units 30 - pentagon 90 - megaminx - 150 units * 5



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 18

def initialize(x:, y:, units:, front_face_elements: "", top_right_face_elements: "", right_face_elements: "", down_face_elements: "", left_face_elements: "", top_left_face_elements: "", rotation_offset: 0)
  @x, @y = x, y
  @units = units
  @front_face_elements = front_face_elements.split(',')
  @top_right_face_elements = top_right_face_elements.split(',')
  @right_face_elements = right_face_elements.split(',')
  @down_face_elements = down_face_elements.split(',')
  @left_face_elements = left_face_elements.split(',')
  @top_left_face_elements = top_left_face_elements.split(',')
  @rotation_offset = rotation_offset
end

Instance Attribute Details

#down_face_elements ⇒ Object (readonly)

Returns the value of attribute down_face_elements.



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 30

def down_face_elements
  @down_face_elements
end

#front_face_elements ⇒ Object (readonly)

Returns the value of attribute front_face_elements.



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 30

def front_face_elements
  @front_face_elements
end

#left_face_elements ⇒ Object (readonly)

Returns the value of attribute left_face_elements.



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 30

def left_face_elements
  @left_face_elements
end

#right_face_elements ⇒ Object (readonly)

Returns the value of attribute right_face_elements.



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 30

def right_face_elements
  @right_face_elements
end

#rotation_offset ⇒ Object (readonly)

Returns the value of attribute rotation_offset.



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 30

def rotation_offset
  @rotation_offset
end

#top_left_face_elements ⇒ Object (readonly)

Returns the value of attribute top_left_face_elements.



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 30

def top_left_face_elements
  @top_left_face_elements
end

#top_right_face_elements ⇒ Object (readonly)

Returns the value of attribute top_right_face_elements.



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 30

def top_right_face_elements
  @top_right_face_elements
end

#units ⇒ Object (readonly)

Returns the value of attribute units.



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 30

def units
  @units
end

#x ⇒ Object (readonly)

Returns the value of attribute x.



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 30

def x
  @x
end

#y ⇒ Object (readonly)

Returns the value of attribute y.



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 30

def y
  @y
end

Instance Method Details

#connecting_lines ⇒ Object

for svg



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 164

def connecting_lines
  pentagon_points.each_with_index.map do |p, i|
    d = decagon_points[i*2]
    offset_rotator.rotate(GridGenerator::BaseLine.new(a: p, b: d)) + offset
  end
end

#decagon_points ⇒ Object 



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 68

def decagon_points
  @decagon_points ||= (0..9).map do |i|
    angle = 2.0 * Math::PI * i / 10.0
    rotator = GridGenerator::Rotator.new(angle: angle, rotation_point: rotation_point)    
    rotator.rotate(decagon_top_point)
  end
end

#decagon_points_transformed ⇒ Object

for svg



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 154

def decagon_points_transformed
  decagon_points.map { |p| offset_rotator.rotate(p) + offset }
end

#decagon_radius ⇒ Object 



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 50

def decagon_radius
  5 * units
end

#decagon_shape ⇒ Object 



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 219

def decagon_shape
  GridGenerator::Svg::Polygon.new(points: decagon_points_transformed, style: decagon_shape_style)
end

#decagon_shape_style ⇒ Object 



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 215

def decagon_shape_style
  GridGenerator::Svg::Style.new(fill: COLOURS[:fill], stroke: COLOURS[:stroke])
end

#decagon_side_length ⇒ Object

also equal to pentagon radius



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 77

def decagon_side_length 
  @decagon_side_length ||= GridGenerator::Helper.distance(decagon_points[0], decagon_points[1])
end

#decagon_top_point ⇒ Object 



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 54

def decagon_top_point
  Matrix.column_vector([
    decagon_radius,
    0 
  ])
end

#front_face_element_shapes ⇒ Object

for svg



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 184

def front_face_element_shapes
  front_face_elements.each_with_index.map do |element, i|
    GridGenerator::Megaminx::FaceElementFactory.new(
      x: x,
      y: y,
      index: i,
      face_points: pentagon_points,
      face_lines: front_face_lines_raw,
      face: element,
      rotator: offset_rotator
    ).build unless element == '-'
  end.compact
end

#front_face_lines ⇒ Object

for svg



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 172

def front_face_lines
  front_face_lines_raw.map { |l| offset_rotator.rotate(l) + offset }
end

#front_face_lines_raw ⇒ Object 



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 113

def front_face_lines_raw
  (0..4).map do |i|
    a = pentagon_points[i-1] # offset one so first line is top right
    b = pentagon_points[(i)%5]
    c = pentagon_points[(i+1)%5]
    d = pentagon_points[(i+2)%5]

    ab_intervals = GridGenerator::Helper.intervals(a,b,2)
    cd_intervals = GridGenerator::Helper.intervals(c,d,2)

    GridGenerator::BaseLine.new(a: ab_intervals[-1], b: cd_intervals[0])
  end
end

#offset ⇒ Object 



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 42

def offset
  @offset ||= Matrix.column_vector([x, y])
end

#offset_rotator ⇒ Object 



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 46

def offset_rotator
  @offset_rotator ||= GridGenerator::Rotator.new(angle: rotation_offset, rotation_point: rotation_point)    
end

#outside_face_element_shapes ⇒ Object

for svg



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 199

def outside_face_element_shapes
  outside_face_elements.each_with_index.map do |face_elements, face_index|
    face_elements.each_with_index.map do |element, element_index|
      GridGenerator::Megaminx::FaceElementFactory.new(
        x: x,
        y: y,
        index: element_index,
        face_points: outside_pentagon_points[face_index],
        face_lines: outside_face_lines_raw[face_index],
        face: element,
        rotator: offset_rotator
      ).build unless element == '-'
    end.compact
  end
end

#outside_face_elements ⇒ Object 



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 32

def outside_face_elements
  [
    top_right_face_elements,
    right_face_elements,
    down_face_elements,
    left_face_elements,
    top_left_face_elements
  ]
end

#outside_face_lines ⇒ Object

for svg



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 177

def outside_face_lines
  outside_face_lines_raw.map do |face_lines|
    face_lines.map { |l| offset_rotator.rotate(l) + offset }
  end
end

#outside_face_lines_raw ⇒ Object 



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 141

def outside_face_lines_raw
  @outside_face_lines_raw ||= (0..4).map do |i|
    rotator = GridGenerator::Rotator.new(angle: Math::PI * i * 0.4, rotation_point: rotation_point)
    top_right_face_lines_raw.map { |l| rotator.rotate(l) } 
  end
end

#outside_pentagon_points ⇒ Object 



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 106

def outside_pentagon_points
  @outside_pentagon_points ||= (0..4).map do |i|
    rotator = GridGenerator::Rotator.new(angle: Math::PI * i * 0.4, rotation_point: rotation_point)
    top_right_pentagon_points.map { |p| rotator.rotate(p) } 
  end
end

#pentagon_points ⇒ Object 



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 88

def pentagon_points 
  @pentagon_points ||= (0..4).map do |i|
    angle = 2.0 * Math::PI * i / 5.0
    rotator = GridGenerator::Rotator.new(angle: angle, rotation_point: rotation_point)    
    rotator.rotate(pentagon_top_point)
  end
end

#pentagon_points_transformed ⇒ Object

for svg



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 159

def pentagon_points_transformed
  pentagon_points.map { |p| offset_rotator.rotate(p) + offset }
end

#pentagon_shape ⇒ Object 



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 227

def pentagon_shape
  GridGenerator::Svg::Polygon.new(points: pentagon_points_transformed, style: pentagon_shape_style)
end

#pentagon_shape_style ⇒ Object 



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 223

def pentagon_shape_style
  GridGenerator::Svg::Style.new(fill: 'none', stroke: COLOURS[:stroke])
end

#pentagon_top_point ⇒ Object 



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 81

def pentagon_top_point
  @pentagon_top_point ||= Matrix.column_vector([
    decagon_radius,
    decagon_radius - decagon_side_length 
  ])
end

#rotation_point ⇒ Object 



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 61

def rotation_point
  Matrix.column_vector([
    decagon_radius,
    decagon_radius
  ])
end

#to_svg ⇒ Object 



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 231

def to_svg
  output = decagon_shape.to_svg
  output += pentagon_shape.to_svg

  connecting_lines.each { |line| output += line.to_svg }

  front_face_lines.each { |line| output += line.to_svg }
  outside_face_lines.each do |face|
    face.each { |line| output += line.to_svg }
  end

  front_face_element_shapes.each { |shape| output += shape.to_svg }
  outside_face_element_shapes.each do |face|
    face.each { |shape| output += shape.to_svg }
  end

  output
end

#top_left_face_lines_raw ⇒ Object 



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 148

def top_left_face_lines_raw
  rotator = GridGenerator::Rotator.new(angle: Math::PI * 1.6, rotation_point: rotation_point)
  @top_left_face_lines_raw ||= outside_face_lines_raw[0].map { |l| rotator.rotate(l) } 
end

#top_right_face_lines_raw ⇒ Object 



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 127

def top_right_face_lines_raw
  @top_right_face_lines_raw ||= (0..4).map do |i| 
    a = outside_pentagon_points[0][i-1] # offset by one so first line is top right
    b = outside_pentagon_points[0][(i)%5]
    c = outside_pentagon_points[0][(i+1)%5]
    d = outside_pentagon_points[0][(i+2)%5]

    ab_intervals = GridGenerator::Helper.intervals(a,b,2)
    cd_intervals = GridGenerator::Helper.intervals(c,d,2)

    GridGenerator::BaseLine.new(a: ab_intervals[-1], b: cd_intervals[0])
  end
end

#top_right_pentagon_points ⇒ Object 



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# File 'lib/grid_generator/megaminx/face_projection.rb', line 96

def top_right_pentagon_points
  @top_right_pentagon_points ||= [
    decagon_points[1],
    decagon_points[2],
    pentagon_points[1],
    pentagon_points[0],
    decagon_points[0],
  ]
end