Class: HeatingSystemCalculator::MatFitter

Inherits:
Object
  • Object
show all
Defined in:
app/services/heating_system_calculator/mat_fitter.rb

Overview

This is a 2D fit-first greedy heuristic algorithm that tries to fit each box into the trunk, largest first. If no box fits,
a new trunk is created.

I'm representing trunks as 2D tables of squares (with one unit of hidden padding around), then fill it starting
from top left. The fitter-first finds a row with enough empty space to fit the box and then checks if the next box-height
rows also contain the space. If they do, the box is drawn to the rows.
Printing is easy because the trunk already is in printable format.
Not a particularly fast way to do it, mind you :)

If you're interested about different algorithms for solving the 2D bin packing problem,
here's a paper:http://www.dei.unipd.it/~fisch/ricop/tesi/tesi_dottorato_Lodi_1999.pdf

Instance Attribute Summary collapse

Instance Method Summary collapse

Constructor Details

#initialize(w, h) ⇒ MatFitter

Returns a new instance of MatFitter.



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# File 'app/services/heating_system_calculator/mat_fitter.rb', line 19

def initialize(w, h)
  @w = w
  @h = h
  @items = []
  @coordinates = []
  @rows = (1..@h).map { '_' * @w }
end

Instance Attribute Details

#coordinates ⇒ Object (readonly)

Returns the value of attribute coordinates.



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# File 'app/services/heating_system_calculator/mat_fitter.rb', line 17

def coordinates
  @coordinates
end

#items ⇒ Object (readonly)

Returns the value of attribute items.



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# File 'app/services/heating_system_calculator/mat_fitter.rb', line 17

def items
  @items
end

Instance Method Details

#add(mat) ⇒ Object

try adding the mat both ways, if either fits we assume its now
in the Zone and it will be deleted from the list of mats



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# File 'app/services/heating_system_calculator/mat_fitter.rb', line 29

def add(mat)
  try_adding(mat) or try_adding(rotate(mat), rotated = true)
end

#empty? ⇒ Boolean

simple... trunk has no items in it

Returns:

  • (Boolean) 


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# File 'app/services/heating_system_calculator/mat_fitter.rb', line 81

def empty?
  @items.empty?
end

#fit_mats(mats) ⇒ Object

end to_s



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# File 'app/services/heating_system_calculator/mat_fitter.rb', line 91

def fit_mats(mats)
  # sort the mats from largest to smallest based on their area (w*h)
  mats = mats.sort_by { |b| b[0] * b[1] }.reverse

  # while there are still mats to try this loop will try to fit them
  # into the zone. We are going through the mats from largest to smallest
  # If a big mat doesn't have room there, all the smaller mats will be tried

  done_filling_zone = false
  until done_filling_zone

    # try to add the mat to the last zone, if it doesn't go we get nil
    fitting = mats.find { |mat| add mat }

    # if the mat fit
    if fitting

    # remove the mat from the mats that need to be placed
    # mats.delete_first fitting

    # if the zone is empty
    elsif empty?

      # raise an error because the mat is too big to fit into the zone
      # and a solution is impossible
      # puts "Can't fit #{mats.inspect} into the zone"
      return { items:, coordinates: }

    # mat didn't fit but the zone has mats in it
    else

      done_filling_zone = true

    end # end if fitting

  end # end until

  { items:, coordinates: }
end

#rotate(mat) ⇒ Object

end try_adding



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# File 'app/services/heating_system_calculator/mat_fitter.rb', line 76

def rotate(mat)
  [mat[1], mat[0], mat[2]]
end

#to_s ⇒ Object

this formatting method is called before the zone is printed.
the extra space is stripped out of the zone here



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# File 'app/services/heating_system_calculator/mat_fitter.rb', line 87

def to_s
  @rows[0..@h].map { |r| r[0..@w] }.join("\n")
end

#try_adding(mat, rotated = false) ⇒ Object

end add



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# File 'app/services/heating_system_calculator/mat_fitter.rb', line 33

def try_adding(mat, rotated = false)
  # puts "try adding mat: #{mat.inspect}, index #{mat[2]}"

  # create a new mat row. Also note that matrow
  # is built as a String of "_" characters, so it will be used to find empty Zone space.
  matrow = '_' * (mat[0])

  @rows.each_with_index do |r, i|
    # break out of the loop as soon as we run out of enough @rows to hold the mat (and 2 extra padding @rows)
    break if i > @rows.size - (mat[1])

    # verify that this row holds the mat, or move on
    next unless r.include?(matrow)

    # fetch the index where the mat would fit on @rows needed to hold it below this one
    idxs = @rows[i + 1, mat[1] + 1].map { |s| s.index matrow }

    # verify that we got an index for all needed lines, or move on.
    next unless idxs.all?

    # find the highest of those indices.
    idx = idxs.max

    # verify that the mat does fit on all needed @rows at the highest found index, or move on
    next unless @rows[i, mat[1]].all? { |s| s[idx, matrow.size] == matrow }

    # if we made it this far, we have a match, so we will draw the mat in place. We can
    # ignore the padding now, since we already proved there is room.
    @rows[i, mat[1]].each { |s| s[idx, mat[0]] = "#{mat[2].first}" * mat[0] }

    # add the mat to the @items, so we know the Zone isn't empty?(), and return the mat to indicate
    # a match
    @items.push mat
    # store coordinate for rendering
    @coordinates.push [idx, i, rotated]
    # puts "mat: #{mat.inspect} did fit"
    return mat
  end # end each_with_index

  # puts "mat: #{mat.inspect} did not fit"
  nil # default false return, if we didn't find a match
end