Module: HandRecordUtility

Defined in:
lib/hand_record_utility.rb,
lib/hand_record_utility/version.rb

Constant Summary collapse

D =

Constants. D is a 29 digit number

22222222221111111111000000000
98765432109876543210987654321

53644737765488792839237440000
DIR_N =

Different directions

0
DIR_E = 
1
DIR_S = 
2
DIR_W = 
3
DIRECTIONS = 
[
  "North",
  "East",
  "South",
  "West",
]
CHAR_TO_BITS =

64 characters so can map

"0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ{}"
BITS_TO_CHAR =

Given the ascii characters, map to a number. Subtract 48 from the char

[
   0,  1,  2,  3,  4,  5,  6,  7,  8,  9, # 0123456789
  -1, -1, -1, -1, -1, -1, -1, 36, 37, 38, # :;<=>?@ABC
  39, 40, 41, 42, 43, 44, 45, 46, 47, 48, # DEFGHIJKLM
  49, 50, 51, 52, 53, 54, 55, 56, 57, 58, # NOPQRSTUVW
  59, 60, 61, -1, -1, -1, -1, -1, -1, 10, # XYZ[/]^_'a
  11, 12, 13, 14, 15, 16, 17, 18, 19, 20, # bcdefghijk
  21, 22, 23, 24, 25, 26, 27, 28, 29, 30, # lmnopqrstu
  31, 32, 33, 34, 35, 62, -1, 63          # vwxyz{|}
]
PAVLICEK_RANKED =

Using the Ranked order, the order of cards is AS, AH, AD, AC Using the Suited order, the order of cards is AS, KS, QS, … Always used Ranked

1
PAVLICEK_SUITED = 
2
S_MAX =

Used in Andrews numbers

Combinatorics::Choose.C(26,13)
E_MAX = 
Combinatorics::Choose.C(39,13)
VERSION = 
"1.0.2"

Class Method Summary collapse

Class Method Details

.andrews_number_to_board(number) ⇒ Object

Convert from an Andrews number to a board



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# File 'lib/hand_record_utility.rb', line 509

def self.andrews_number_to_board(number)
  routine_name = "andrews_number_to_board"

  # Error check
  if (number <= 0) then
    puts "Error in #{routine_name}. Invalid number #{number}. Must be 1 or higher."
    return nil
  end

  if (number > HandRecordUtility::D) then
    puts "Error in #{routine_name}. Invalid number #{number} is too big."
    return nil
  end

# Need to subtract 1 because the UI is 1..D, code is 0..D-1
number = number - 1

  # Using variable names from http://www.rpbridge.net/7z68.htm
  s_index  = number % S_MAX
  quotient = number / S_MAX

  e_index = quotient % E_MAX
  n_index = quotient / E_MAX

  north_sequence = decode_to_increasing_sequence(n_index)
  east_sequence  = decode_to_increasing_sequence(e_index)
  south_sequence = decode_to_increasing_sequence(s_index)

  # initialize all cards to west since anything missing must be there!

  pav_array = Array.new(52,DIR_W)

  [[north_sequence,DIR_N], 
   [east_sequence,DIR_E],
   [south_sequence,DIR_S]].each do |sequence,direction|
    
    hand_loc = 0
    sequence_loc = 0
    pav_array.each_with_index do |val,idx|
      if (val == DIR_W) then
        if (hand_loc == sequence[sequence_loc]) then
          pav_array[idx] = direction
          sequence_loc = sequence_loc + 1
        end
        hand_loc = hand_loc + 1
      end
    end
  end

  nsew = Array.new(4) { Array.new(4) { Array.new } }
  pav_array.each_with_index do |dir,idx|
  suit = idx / 13
  rank = idx % 13
    nsew[dir][suit].push(rank)
  end

  pavlicek_arrays_to_board(nsew)
end

.board_to_pavlicek_array(board, ranked_or_suited) ⇒ Object

Given a hand, converts to a Pavlicek array This is a new term I have created. Returns an array [0..51] where 0 is AS, 1 is AH, 2 is AD.… 51 is 2C The values in the array are [0123] (n, e, s, w) In other words, for each card we know which hand it is in



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# File 'lib/hand_record_utility.rb', line 316

def self.board_to_pavlicek_array(board, ranked_or_suited)
  # Initialize an array of size 52. Set all values to -1 (as an error check)
  pav_array = Array.new(52, -1)

  put_hand_in_pavlicek_array(pav_array, board[:north], DIR_N, ranked_or_suited)
  put_hand_in_pavlicek_array(pav_array, board[:east], DIR_E, ranked_or_suited)
  put_hand_in_pavlicek_array(pav_array, board[:south], DIR_S, ranked_or_suited)
  put_hand_in_pavlicek_array(pav_array, board[:west], DIR_W, ranked_or_suited)
  # Return the array
  pav_array
end

.debug_board(board) ⇒ Object

Print out in format normally associated with bridge journalism



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# File 'lib/hand_record_utility.rb', line 648

def self.debug_board(board)
  debug_board_ns(board[:north])
  sw = debug_board_hand_suit(board[:west], "S")
  se = debug_board_hand_suit(board[:east], "S")
  printf "S: %-14s S: %s\n", sw, se
  sw = debug_board_hand_suit(board[:west], "H")
  se = debug_board_hand_suit(board[:east], "H")
  printf "H: %-14s H: %s\n", sw, se
  sw = debug_board_hand_suit(board[:west], "D")
  se = debug_board_hand_suit(board[:east], "D")
  printf "D: %-14s D: %s\n", sw, se
  sw = debug_board_hand_suit(board[:west], "C")
  se = debug_board_hand_suit(board[:east], "C")
  printf "C: %-14s C: %s\n", sw, se
  debug_board_ns(board[:south])
end

.debug_board_hand_suit(hand, suit) ⇒ Object

Returns the cards in a suit for a hand Assumes hand is well formed



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# File 'lib/hand_record_utility.rb', line 675

def self.debug_board_hand_suit(hand, suit)
  s = ""
  case suit
  when "S"
    s = hand[/S.*H/]
    s = s[1, s.length - 2]
  when "H"
    s = hand[/H.*D/]
    s = s[1, s.length - 2]
  when "D"
    s = hand[/D.*C/]
    s = s[1, s.length - 2]
  when "C"
    s = hand[/C.*/]
    s = s[1, s.length - 1]
  end
  return s
end

.debug_board_ns(hand) ⇒ Object

Prints the North or South hand



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# File 'lib/hand_record_utility.rb', line 666

def self.debug_board_ns(hand)
  printf "         S: %s\n", debug_board_hand_suit(hand, "S")
  printf "         H: %s\n", debug_board_hand_suit(hand, "H")
  printf "         D: %s\n", debug_board_hand_suit(hand, "D")
  printf "         C: %s\n", debug_board_hand_suit(hand, "C")
end

.debug_board_short_form(board) ⇒ Object

Print a board in short form



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# File 'lib/hand_record_utility.rb', line 635

def self.debug_board_short_form(board)
  debug_board_short_form_suit("N", board[:north])
  debug_board_short_form_suit("S", board[:south])
  debug_board_short_form_suit("E", board[:east])
  debug_board_short_form_suit("W", board[:west])
end

.debug_board_short_form_suit(hand_name, hand) ⇒ Object

Helper routine to print a hand in short form



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# File 'lib/hand_record_utility.rb', line 643

def self.debug_board_short_form_suit(hand_name, hand)
  puts " #{hand_name}: #{hand}"
end

.debug_pavlicek_array(pav_array) ⇒ Object

Debug utility to print values of the pav_array



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# File 'lib/hand_record_utility.rb', line 622

def self.debug_pavlicek_array(pav_array)
  (0..4).each do |tens|
    printf "%2d: ", tens
    (0..9).each do |digit|
      num = (tens * 10) + digit
      printf "%d ", pav_array[num]
    end
    puts "\n"
  end
  printf "%2d: %d %d \n", 5, pav_array[50], pav_array[51]
end

.decode_to_increasing_sequence(index) ⇒ Object 



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# File 'lib/hand_record_utility.rb', line 489

def self.decode_to_increasing_sequence(index)
  length = 13
  result = Array.new( length, -1 )

  13.downto(1) do |i|
    last_value = 0
    num = i
    next_value = Combinatorics::Choose.C(num,i)
    while index >= next_value do
      num += 1
      last_value=next_value
      next_value = Combinatorics::Choose.C(num,i)
    end
    result[i-1] = num-1
    index = index - last_value
  end
  result
end

.encode_increasing_sequence(sequence) ⇒ Object 



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# File 'lib/hand_record_utility.rb', line 466

def self.encode_increasing_sequence(sequence)
  sum = 0
  sequence.each_with_index do |val,index|
    if val > index then
      sum = sum + Combinatorics::Choose.C(val,index+1)
    end
  end
  sum
end

.hex_to_number(s) ⇒ Object

From hex back to int This routine does no error checking on the input.



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# File 'lib/hand_record_utility.rb', line 581

def self.hex_to_number(s)
  s.to_i(16)
end

.number_to_hex(i) ⇒ Object

Given a number, convert to a 24 character hex string. A number should be a maximum of 96 bits. A hex character has 4 bits, so should be a maximum of 24 characters. This routine does no error checking on the input.



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# File 'lib/hand_record_utility.rb', line 575

def self.number_to_hex(i)
  i.to_s(16)
end

.number_to_string_64(i) ⇒ Object

From number to character string This routine does no error checking on the input.



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# File 'lib/hand_record_utility.rb', line 590

def self.number_to_string_64(i)
  return "0" if (i == 0)
  s = ""
  while (i > 0)
    digit = i % 64
    s = CHAR_TO_BITS[digit] + s
    i = i / 64
  end
  s
end

.pavlicek_array_to_andrews_sequences(pav_array) ⇒ Object

Convert board to Andrews number. bridge.thomasoandrews.com/impossible/algorithm.html



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# File 'lib/hand_record_utility.rb', line 448

def self.pavlicek_array_to_andrews_sequences(pav_array)
  sequences = Array.new( 3 ) { Array.new( 13, -1 ) }
  (0..2).each do |j|    
    count = 0
    loc = 0
    (0..51).each do |i|
      if (j == pav_array[i]) then
        sequences[j][loc] = count
        loc = loc + 1
      end
      if (j <= pav_array[i]) then
        count = count + 1
      end
    end
  end
  sequences
end

.pavlicek_array_to_hand(pav_hand_array) ⇒ Object

pav_hand is an array of cards Returns a 17 char string with the hand record.



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# File 'lib/hand_record_utility.rb', line 227

def self.pavlicek_array_to_hand(pav_hand_array)
  s =     "S" + pavlicek_hand_array_to_suit(pav_hand_array[0])
  s = s + "H" + pavlicek_hand_array_to_suit(pav_hand_array[1])
  s = s + "D" + pavlicek_hand_array_to_suit(pav_hand_array[2])
  s = s + "C" + pavlicek_hand_array_to_suit(pav_hand_array[3])
  return s
end

.pavlicek_array_to_number(pav_array) ⇒ Object

Given a Pavlicek array, convert to a number Using variable names from www.rpbridge.net/7z68.htm



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# File 'lib/hand_record_utility.rb', line 384

def self.pavlicek_array_to_number(pav_array)
  routine_name = "pavlicek_array_to_number"
  debug_routine = 0
  n = 13
  e = 13
  s = 13
  w = 13
  c = 52
  k = D
  i = 0
  card_count = 1

  # Go through the 52 cards
  (0..51).each do |card_count|
    hand_has_card = pav_array[card_count]
    if (debug_routine == 1) then
      # Use a shortened routine name
      puts "pa2n: count=#{card_count} hand_has_card=#{hand_has_card} c=#{c} k=#{k} i=#{i} n=#{n} e=#{e} s=#{s} w=#{w}"
    end

    x = (k * n) / c
    if (hand_has_card == DIR_N) then
      n = n - 1
    else
      i = i + x
      x = (k * e) / c
      if (hand_has_card == DIR_E) then
        e = e - 1
      else
        i = i + x
        x = (k * s) / c
        if (hand_has_card == DIR_S) then
          s = s - 1
        else
          i = i + x
          x = (k * w) / c
          if (hand_has_card == DIR_W) then
            w = w - 1
          else
            # Invalid card
            puts "Invalid direction in HandRecordUtility. direction=#{hand_has_card} count=#{count} value=#{hand_has_card}"
          end
        end
      end
    end

    if (debug_routine == 1) then
      puts "pa2n: end i=#{i} k=#{k} x=#{x} c=#{c} n=#{n} e=#{e} s=#{s} w=#{s}"
    end
    k = x
    c = c - 1
  end

  # The algorithm uses 0..D-1, 
  # The UI uses 1..D so need to increase by 1
  return i + 1
end

.pavlicek_arrays_to_board(hands) ⇒ Object

pavlicek_arrays_to_board takes four arrays and returns the entire board.



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# File 'lib/hand_record_utility.rb', line 215

def self.pavlicek_arrays_to_board(hands)
  board = Hash.new
  board[:north] = pavlicek_array_to_hand(hands[DIR_N])
  board[:east]  = pavlicek_array_to_hand(hands[DIR_E])
  board[:south] = pavlicek_array_to_hand(hands[DIR_S])
  board[:west]  = pavlicek_array_to_hand(hands[DIR_W])
  return board
end

.pavlicek_hand_array_to_suit(pav_hand_array) ⇒ Object

Given an array holding cards in a suit, return a string with that suit



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# File 'lib/hand_record_utility.rb', line 236

def self.pavlicek_hand_array_to_suit(pav_hand_array)
  routine_name = "pavlicek_hand_array_to_suit"
  s = ""
  return s if (pav_hand_array.nil?)

  pav_hand_array.each do |card|
    case card
    when 0
      s = s + "A"
    when 1
      s = s + "K"
    when 2
      s = s + "Q"
    when 3
      s = s + "J"
    when 4
      s = s + "T"
    when 5..12
      c = 14 - card
      s = s + c.to_s
    else
      puts "Invalid value in #{routine_name}. card=#{card}"
      # Error
    end
  end
  return s
end

.pavlicek_number_to_board(number) ⇒ Object

Default is suited Pavlicek web site uses the ranked order, Andrews reference is to the suited order. Using Andrews web site to generate the numbers, the suited is preferred. The number is assumed to be 1..D, however the algorithm on Pavlicek’s page is 0..D-1. Therefore in a later routine we subtract 1.



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# File 'lib/hand_record_utility.rb', line 89

def self.pavlicek_number_to_board(number)
  pavlicek_suited_number_to_board(number)
end

.pavlicek_ranked_number_to_board(number) ⇒ Object

Uses the ranked Pavlicek method



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# File 'lib/hand_record_utility.rb', line 94

def self.pavlicek_ranked_number_to_board(number)
  pavlicek_ranked_or_suited_number_to_board(number, PAVLICEK_RANKED)
end

.pavlicek_ranked_or_suited_number_to_board(number, ranked_or_suited) ⇒ Object

Algorithm:

  1. N=E=S=W=13; C=52; K=D

  2. X=K*N/C; If I < X then N=N-1, go to 6

  3. I=I-X; X=K*E/C; If I < X then E=E-1, go to 6

  4. I=I-X; X=K*S/C; If I < X then S=S-1, go to 6

  5. I=I-X; X=K*W/C; W=W-1

  6. K=X; C=C-1, loop if not zero to 2

Returns a board



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# File 'lib/hand_record_utility.rb', line 111

def self.pavlicek_ranked_or_suited_number_to_board(number, ranked_or_suited)
  # Common theme to help with debugging. Define routine name for debug code. 
  # Sometimes also define a short routine name. 
  # Use a variable to turn debug on or off in the code
  # Similar code through most of this gem
  routine_name = "pavlicek_ranked_or_suited_number_to_board"
  short_routine_name = "prsntb"
  debug_routine = 0

  # Error check
  if (number <= 0) then
    puts "Error in #{routine_name}. Invalid number #{number}. Must be 1 or higher."
    return nil
  end

  if (number > HandRecordUtility::D) then
    puts "Error in #{routine_name}. Invalid number #{number} is too big."
    return nil
  end

  # Using variable names from http://www.rpbridge.net/7z68.htm
  n = 13
  e = 13
  s = 13
  w = 13
  c = 52
  k = D
  # hands[NESW][HCDS][0..12 where 0=A, 1=K, 2=Q, ...12=2]
  hands = Array.new(4) { Array.new(4) { Array.new } }

  # The algorithm assumes that the space is 0..D-1
  # But the UI assumes 1..D, so decrement by 1.
  i = number - 1

  (0..51).each do |card_count|
#      if (ranked_or_suited == PAVLICEK_RANKED) then
#        suit = card_count % 4
#        # 0=A, 1=K, 2=Q, .... 12=2
#        rank = (card_count / 4).to_i
#      else
      suit = (card_count / 13).to_i
      # 0=A, 1=K, 2=Q, .... 12=2
      rank = card_count - (suit * 13)
#      end

    # Make sure do it this way and not
    # x = (k / c) * n
    x = (k * n) / c
    if (i < x) then
      n = n - 1
      dir = DIR_N
      if (debug_routine == 1) then
        puts "#{short_routine_name}: dir=#{dir} suit=#{suit} rank=#{rank} i=#{i} x=#{x} n=#{n} e=#{e} s=#{s} w=#{w}"
      end
      hands[dir][suit] << rank
    else
      i = i - x
      x = (k * e) / c
      if (i < x) then
        e = e - 1
        dir = DIR_E
        if (debug_routine == 1) then
          puts "#{short_routine_name}: dir=#{dir} suit=#{suit} rank=#{rank} i=#{i} x=#{x} n=#{n} e=#{e} s=#{s} w=#{w}"
        end
        hands[DIR_E][suit] << rank
      else
        i = i - x
        x = (k * s) / c
        if (i < x) then
          s = s - 1
          dir = DIR_S
          if (debug_routine == 1) then
            puts "#{short_routine_name}: dir=#{dir} suit=#{suit} rank=#{rank} i=#{i} x=#{x} n=#{n} e=#{e} s=#{s} w=#{w}"
          end
          hands[dir][suit] << rank
        else
          # This is West
          i = i - x
          x = (k * w) / c
          if ((i < x) || ((i == 0) && (x == 0))) then
            w = w - 1
            dir = DIR_W
            if (debug_routine == 1) then
              puts "#{short_routine_name}: dir=#{dir} suit=#{suit} rank=#{rank} i=#{i} x=#{x} n=#{n} e=#{e} s=#{s} w=#{w}"
            end
            hands[dir][suit] << rank
          else
            puts "Error. card_count=#{card_count} i=#{i} x=#{x} k=#{k} c=#{c} n=#{n} e=#{e} s=#{s} w=#{w}"
          end
        end
      end
    end
    k = x
    c = c - 1
  end

  if (debug_routine == 1) then
    puts "#{routine_name}: end. n=#{n} e=#{e} s=#{s} w=#{w}"
  end

  return pavlicek_arrays_to_board(hands)
end

.pavlicek_suited_number_to_board(number) ⇒ Object

Uses the suited Pavlicek method (default)



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# File 'lib/hand_record_utility.rb', line 99

def self.pavlicek_suited_number_to_board(number)
  pavlicek_ranked_or_suited_number_to_board(number, PAVLICEK_SUITED)
end

.put_hand_in_pavlicek_array(pav_array, hand, direction, ranked_or_suited) ⇒ Object

Given a hand in format “SKQH5432DAQJCT954” Fill out the pavlicek array



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# File 'lib/hand_record_utility.rb', line 330

def self.put_hand_in_pavlicek_array(pav_array, hand, direction, ranked_or_suited)
  suit = 0
  hand.each_char do |value|
    if ((value == "S") || (value == "H") || (value == "D") || (value == "C")) then
      case value
      when "S"
        suit = 0
      when "H"
        suit = 1
      when "D"
        suit = 2
      when "C"
        suit = 3
      end
    else
      # We have a card in a suit
      card = 14
      case value
      when "A"
        card_value = 0
      when "K"
        card_value = 1
      when "Q"
        card_value = 2
      when "J"
        card_value = 3
      when "T"
        card_value = 4
      else
        # Map "9" -> 4, "8" -> 5, ... "2" -> 12
        card_value = 62 - value.ord # 50=2, 57=9
#          card_value = 14 - card_int
        if (card_value <= 0) then
          puts "Error in card. card_value=#{card_value} value=#{value}"
        end
      end

      #Error check?
      # AS=0, AH=1, AD=2, AC=3, ... 2C=51
      if (ranked_or_suited == PAVLICEK_RANKED) then
        card = (card_value * 4) + suit
      else
        card = (suit * 13) + card_value
      end
      # card should be 0..51
#        puts "hand=#{hand} value=#{value} card=#{card} direction=#{direction}"
      pav_array[card] = direction
    end
  end
  # No return value
end

.string_64_to_number(s) ⇒ Object

Converts the string to an int. This routine does no error checking on the input.



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# File 'lib/hand_record_utility.rb', line 603

def self.string_64_to_number(s)
  i = 0
  return i if (s.nil? || s.empty?)
  s.each_char do |c|
    chr = c.ord - 48
    # Validity check
    return -1 if ((chr < 0) || (chr > 77))
    n = BITS_TO_CHAR[chr]
    # Validity check
    return -1 if (n == -1)
    i = (i * 64) + n
  end
  i
end

.to_andrews_number(board) ⇒ Object 



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# File 'lib/hand_record_utility.rb', line 476

def self.to_andrews_number(board)
  pav_array = board_to_pavlicek_array(board, PAVLICEK_SUITED)
  sequences = pavlicek_array_to_andrews_sequences(pav_array)

  seqN = encode_increasing_sequence(sequences[0])
  seqE = encode_increasing_sequence(sequences[1])
  seqS = encode_increasing_sequence(sequences[2])

# Need to add 1. Internally we use 0..D-1, externally 1..D
  i =  seqS + S_MAX * (seqE + (E_MAX * seqN)) + 1
return i
end

.to_pavlicek_number(board) ⇒ Object

Converts from a board to a Pavlicek number See www.rpbridge.net/7z68.htm Pavlicek ranks the cards in this order: AS, AH, AD, AC, KS.… 2C Algorithm from Richard’s web site

  1. N=E=S=W=13; C=52; K=D; I=0

  2. X=K*N/C; If N card then N=N-1, go to 6

  3. I=I+X; X=K*E/C; If E card then E=E-1, go to 6

  4. I=I+X; X=K*S/C; If S card then S=S-1, go to 6

  5. I=I+X; X=K*W/C; W=W-1

  6. K=X; C=C-1, loop if not zero to 2



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# File 'lib/hand_record_utility.rb', line 275

def self.to_pavlicek_number(board)
  to_pavlicek_suited_number(board)
end

.to_pavlicek_ranked_number(board) ⇒ Object

Given a hand, converts to a Pavlicek array



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# File 'lib/hand_record_utility.rb', line 296

def self.to_pavlicek_ranked_number(board)
  routine_name = "to_pavlicek_ranked_number"
  debug_routine = 1

  if (debug_routine == 1) then
    puts "#{routine_name}: Board=#{board}"
  end

  pav_array = board_to_pavlicek_array(board, PAVLICEK_RANKED)
  pav_number = pavlicek_array_to_number(pav_array)
#    debug_pavlicek_array(pav_array)

  return pav_number
end

.to_pavlicek_suited_number(board) ⇒ Object 



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# File 'lib/hand_record_utility.rb', line 279

def self.to_pavlicek_suited_number(board)
  routine_name = "to_pavlicek_suited_number"
  debug_routine = 0

  if (debug_routine == 1) then
    puts "#{routine_name}: Board=#{board}"
  end

  pav_array = board_to_pavlicek_array(board, PAVLICEK_SUITED)
#    debug_pavlicek_array(pav_array)
  pav_number = pavlicek_array_to_number(pav_array)
#    debug_pavlicek_array(pav_array)

  return pav_number
end