Homing in on damage numbers

#input.txt
Levi 1st    1.0 324 337 350 362 375 388 401
Levi 3rd    1.15    372 387 402 417 432 447 461
Levi Charge 1.50    485 505 524 544 563 582 602
Suda 3rd    1.15**2 428 445 462 479 496 513 531
Suda Charge 1.5*1.075   522 543 563 584 605 626 647
Suda Charge Explosion   1.15*1.5    558 580 603 625 647 670 692
Nitro   1.075   348 362 376 390 404 417 431
Irontech    1.075**2    374 389 404 419 434 449 464
BAB 1.075*1.15  400 416 432 448 464 480 496


#script file
require 'bigdecimal'

def num value # Use BigDecimal to minimize float errors
  BigDecimal.new(value, 16) # Biggest precision allowed
end

# Initialize
attacks = File.open 'input.txt' do |file|
  file.read.split(?\n).map do |line|
    name, multiplier, *values = line.split(?\t)
    values = values.map{|v| num(v.to_f)}
    {
      name: name,
      multiplier: num(eval(multiplier)),
      max: values.map{|v| v+0},
      min: values.map{|v| v-1}
    }
  end
end

# Make a copy
control = attacks.map do |attack|
  {
    name: attack[:name],
    multiplier: attack[:multiplier],
    max: attack[:max].map{|v| v},
    min: attack[:min].map{|v| v}
  }
end

def compare_min attacks, comparison
  attacks[0][:min][0] = [attacks[0][:min][0], comparison].max
end

def compare_max attacks, comparison
  attacks[0][:max][0] = [attacks[0][:max][0], comparison].min
end

def test attacks, control, exclude=nil
  errors = false

  # Compare every level of bonus with every other level of bonus
  attacks.each_with_index do |attack, i|
    next if i == exclude
    (0..6).each do |bonus|
      multiplier = (num(1.0) + num(0.04) * bonus) * attack[:multiplier]

      attacks[0][:min][0] = [attacks[0][:min][0], attack[:min][bonus] / multiplier].max
      attacks[0][:max][0] = [attacks[0][:max][0], attack[:max][bonus] / multiplier].min

      attack[:min][bonus] = [attacks[0][:min][0] * multiplier, attack[:min][bonus]].max
      attack[:max][bonus] = [attacks[0][:max][0] * multiplier, attack[:max][bonus]].min

      if attack[:max][bonus] < control[i][:min][bonus] or attack[:min][bonus] > control[i][:max][bonus]
        puts "Weird value detected!
          #{attack[:name]}(#{bonus})(multiplier: #{multiplier.to_s(?F)})"
      end

    end
  end
end


test attacks, control
test attacks, control # Second pass after levi 1st hit has been made as accurate as possible

puts attacks.map{ |attack|
  "#{attack[:name]}
  Min: #{attack[:min].map{|v| v.to_s(?F)}.join(', ')}
  Max: #{attack[:max].map{|v| v.to_s(?F)}.join(', ')}
  "
}.join(?\n)

#output
Weird value detected!
          Levi 1st(3)(multiplier: 1.12)
Levi 1st
  Min: 323.214285714285714285714285715, 336.1428571428571428571428571436, 349.0714285714285714285714285722, 362.0000000000000000000000000008, 374.9285714285714285714285714294, 387.857142857142857142857142858, 400.7857142857142857142857142866
  Max: 323.214285714285714285714285715, 336.1428571428571428571428571436, 349.0714285714285714285714285722, 362.0, 374.9285714285714285714285714294, 387.857142857142857142857142858, 400.7857142857142857142857142866

Levi 3rd
  Min: 371.69642857142857142857142857225, 386.56428571428571428571428571514, 401.43214285714285714285714285803, 416.30000000000000000000000000092, 431.16785714285714285714285714381, 446.0357142857142857142857142867, 460.90357142857142857142857142959
  Max: 371.69642857142857142857142857225, 386.56428571428571428571428571514, 401.43214285714285714285714285803, 416.30000000000000000000000000092, 431.16785714285714285714285714381, 446.0357142857142857142857142867, 460.90357142857142857142857142959

Levi Charge
  Min: 484.8214285714285714285714285725, 504.2142857142857142857142857154, 523.6071428571428571428571428583, 543.0000000000000000000000000012, 562.3928571428571428571428571441, 581.785714285714285714285714287, 601.1785714285714285714285714299
  Max: 484.8214285714285714285714285725, 504.2142857142857142857142857154, 523.6071428571428571428571428583, 543.0000000000000000000000000012, 562.3928571428571428571428571441, 581.785714285714285714285714287, 601.1785714285714285714285714299

Suda 3rd
  Min: 427.4508928571428571428571428580875, 444.548928571428571428571428572411, 461.6469642857142857142857142867345, 478.745000000000000000000000001058, 495.8430357142857142857142857153815, 512.941071428571428571428571429705, 530.0391071428571428571428571440285
  Max: 427.4508928571428571428571428580875, 444.548928571428571428571428572411, 461.6469642857142857142857142867345, 478.745000000000000000000000001058, 495.8430357142857142857142857153815, 512.941071428571428571428571429705, 530.0391071428571428571428571440285

Suda Charge
  Min: 521.1830357142857142857142857154375, 542.030357142857142857142857144055, 562.8776785714285714285714285726725, 583.72500000000000000000000000129, 604.5723214285714285714285714299075, 625.419642857142857142857142858525, 646.2669642857142857142857142871425
  Max: 521.1830357142857142857142857154375, 542.030357142857142857142857144055, 562.8776785714285714285714285726725, 583.72500000000000000000000000129, 604.5723214285714285714285714299075, 625.419642857142857142857142858525, 646.2669642857142857142857142871425

Suda Charge Explosion
  Min: 557.544642857142857142857142858375, 579.84642857142857142857142857271, 602.148214285714285714285714287045, 624.45000000000000000000000000138, 646.751785714285714285714285715715, 669.05357142857142857142857143005, 691.355357142857142857142857144385
  Max: 557.544642857142857142857142858375, 579.84642857142857142857142857271, 602.148214285714285714285714287045, 624.45000000000000000000000000138, 646.751785714285714285714285715715, 669.05357142857142857142857143005, 691.355357142857142857142857144385

Nitro
  Min: 347.455357142857142857142857143625, 361.35357142857142857142857142937, 375.251785714285714285714285715115, 389.15000000000000000000000000086, 403.048214285714285714285714286605, 416.94642857142857142857142857235, 430.844642857142857142857142858095
  Max: 347.455357142857142857142857143625, 361.35357142857142857142857142937, 375.251785714285714285714285715115, 389.15000000000000000000000000086, 403.048214285714285714285714286605, 416.94642857142857142857142857235, 430.844642857142857142857142858095

Irontech
  Min: 373.514508928571428571428571429396875, 388.45508928571428571428571428657275, 403.395669642857142857142857143748625, 418.3362500000000000000000000009245, 433.276830357142857142857142858100375, 448.21741071428571428571428571527625, 463.157991071428571428571428572452125
  Max: 373.514508928571428571428571429396875, 388.45508928571428571428571428657275, 403.395669642857142857142857143748625, 418.3362500000000000000000000009245, 433.276830357142857142857142858100375, 448.21741071428571428571428571527625, 463.157991071428571428571428572452125

BAB
  Min: 399.57366071428571428571428571516875, 415.5566071428571428571428571437755, 431.53955357142857142857142857238225, 447.522500000000000000000000000989, 463.50544642857142857142857142959575, 479.4883928571428571428571428582025, 495.47133928571428571428571428680925
  Max: 399.57366071428571428571428571516875, 415.5566071428571428571428571437755, 431.53955357142857142857142857238225, 447.522500000000000000000000000989, 463.50544642857142857142857142959575, 479.4883928571428571428571428582025, 495.47133928571428571428571428680925

[Finished in 0.2s]