	Mahjong-O-Matic for "Chinese Official International Rules"
		= 193 points

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Rules and Regulations

Note: Conversations with many people during the OEMC have given new insights in the background of scoring. It has also given insight into the spirit of the game which has turned out to be quite different than what I expected. At the moment I am writing a digest on these issues and working on a new version of the scoring system.

Note: During development of the system I have based the logic on the English translation of the OC ruling. It has become clear that the translation is incomplete, especially concerning the exclusion ruling. I am now in the process of reconstruction the system logic. I apologize for any incorrect generated scoring that may occur in the meantime.

Some links that I am currently examining:

FAQ #22. Chinese Official Scoring Explained: http://www.sloperama.com/mjfaq/mjfaq22.htm
CMCR: Article 10 Principles vs. Exclusionary Rule: http://www.imahjong.com/maiarchives208.html

Downloads

Downloadable digests of Official Chinese Mahjong rules have been made available by Mahjong News:

Download the Digest by Takeshobo/the Mahjong Museum (English version) as PDF file
Download the Digest by Takeshobo/the Mahjong Museum (Japanese version) as PDF file
Download the Rules and Regulations of the Dutch Mahjong Association (Dutch version) as PDF file

Score Naming

The scoring names used by the Mahjong-O-Matic are taken from the english translation of the official internation rulebook. Some scoring elements (such as "pung dragon") may appear more than once in a hand. When present, the name starts with the number of occurences. Examples: "One Pung Dragon" and "Two Pure Double Chow".

Some original scoring names will confuse the system because their description are ambigious. For this reason some names needed to be slightly adapted. The following table shows the changes:

Hand Number	Original Name	Mahjong-O-Matic Name

#4	"Two Terminal Chows"	"Pair Terminal Chows"
#5	"Pung of Terminals or Honors"	"Pung Wind" or "Pung Dragon"
#38	"Mixed Shifted Pungs"	"Three Mixed Shifted Pungs"
#60	"Pure Shifted Pungs"	"Three Pure Shifted Pungs "

Scoring Trivia

It is not always clear what is being ment by certain words and phrases. Real people have the ability to listen to intuition and the rely on context and for a software based systems this is much more critical. Certain issues were encountered during development which were not so straight forward as first expected or which have been subject to public discussions.

Implications

Implications form the basis of the Chinese Official ruleset as illustrated by the expression "If the score is implied, it doesn't count". The definition of implied used by the Mahjong-O-Matic is: "If a set of tiles receive a score, then if all possible variations of tiles for that score would also receive another score, then the second is implied". This can be rephrased as: "If you can show that there is a variation of tiles that does not imply a second score, then the first score never implies the second".

Confused? Here is an example:

Take as example "All Honors", a hand that consists of 4 sets of winds and dragons. There are 4 different winds and three different dragons. There is a combination of sets that form "All Honors" which does not contain dragons, so "All Honors" does not imply "pung dragon". Whereas every "All Honors" will contain at least one "pung wind", so "All Honors" implies "Pung wind".

A second example:

Every possible variation of "#59 Pure Triple Chow" will have a "#1 Pure Double Chow", so "Pure Triple Chow" implies "Pure Double Chow". However, the fourth set of tiles can be such that when combined with one of the others it forms a second "Pure Triple Chow". There are a total of two "Pure Triple Chow", one is implied and does not receive points, the other get points.

One Voided Suit

The definition of "One Voided Suit" is slightly unclear in the English translation of the rules. The Mahjong-O-Matic considers that each absent suit should receive a point for "Voided Suit". So one could have "No/One/Two/Three Voided Suit". You will never see "Two Voided Suit" as it is implied by "Half/Full Flush" and "Three Voided Suit" as that is implied by "All Honors".

"#36 Reversible Tiles" is always "One/Two Voided Suit", so that is why they do not combine.

Waits

A player is "waiting" when a winning hand is one tile short from completion. If only one kind of tile can be used to finish the hand it is called "Unique Wait" otherwise it is a "Multiple Wait". For certain unique waits an extra point can be obtained for "Edge/Closed/Single Wait".

A "Single Wait" is not an unique wait, a better name would have been "Head Wait". This is why no points are gained for a unique wait to complete a "#45 Knitted Straight". [Note: Not to be confused with the Lesser/Greater Honors and Knitted Tiles]

Annotations

At the moment I am focusing my attention on getting the system fully operational. However I do have some personal annotations with regard to the rules which reflects some choices taken. The text and formatting is a mess.

Pungs and Kongs

Pungs:

2 concealed pung is implied by 3 concealed pung
3 concealed pung is implied by 4 concealed pung

2 concealed pung is implied by 2 concealed kong
3 concealed pung are not implied by 3 or 4 kong
4 concealed pung are not implied by 4 kong

Kongs:

1 concealed kong is implied by 2 concealed kong
1 claimed kong is implied by 2 claimed kong
2 kong (claimed and/or concealed) is implied by 3 kong
3 kong is implied by 4 kong

The number of concealed pungs may increase if concealed kongs are also present:

1 concealed kong+2 concealed pung may count as 3 concealed pung
1 concealed kong+3 concealed pung may count as 4 concealed pung
2 concealed kong+1 concealed pung may count as 3 concealed pung
2 concealed kong+2 concealed pung may count as 4 concealed pung
3 concealed kong may count as 3 concealed pung
3 concealed kong+1 concealed pung may count as 4 concealed pung
4 concealed kong may count as 4 concealed pung.

Basic Implications

- Textually implied such as "#65 Three Kong" and "#79 Four Kong"
- Cascadable such as "1*#1 One Pure Double Chow" and "2*#1 Two Pure Double Chow" [same score number]
- Promotable such as "#14 One Pung Dragon" and "#34 Two Pung Dragon"

Detailed description of hands (under construction)

One Pure Double Chow

1 pt

Two Pure Double Chow

2 pts

Implies:
Notes:	You get 1 point for EACH "Pure Double Chow"

One Mixed Double Chow

1 pt

Two Mixed Double Chow

2 pts

Implies:
Notes:	You get 1 point for EACH "Mixed Double Chow"

One Short Straight

1 pt

Two Short Straight

2 pts

Implies:
Notes:	You get 1 point for EACH "Short Straight "

One Pair Terminal Chow

1 pt

Two Pair Terminal Chow

2 pts

Implies:

Notes:

You get 1 point for EACH "Pair Terminal Chow"

The name used in OC is "Two Terminal Chows" but the prefix 'Two" seriously confuses the system because having two would result in something like "Two Two Terminal Chow".

One Terminal Pung/Kong

1 pt

Two Terminal Pung/Kong

2 pts

Three Terminal Pung/Kong

3 pts

Four Terminal Pung/Kong

4 pts

One Wind Pung/Kong

1 pt

Two Wind Pung/Kong

2 pts

Implies:
Notes:	You get 1 point for EACH "Terminal/Wind" Although dragons are honors too, thay have their seperate scoring (#14 #34 #71 #76) Terminals and Winds needed to be split to simply the internal mechanism of the system.

One Melded Kong

1 pt

Implies:
Notes:

One Voided Suit

1 pt

Implies:

Notes:

You get 1 point for EACH "Voided Suit" (it does not mean "Two of the Three Suits")

"Two Voided suit" is always implied by Half/Full Flush.
"Three Voided Suit" is always implied by All Honors.

No Honors

1 pt

Implies:
Notes:

Edge Wait

1 pt

Implies:
Notes:	Only valid if this wait is an unique wait.

#10

Closed Wait

1 pt

Implies:
Notes:	Only valid if this wait is an unique wait.

#11

Single Wait

1 pt

Implies:
Notes:	Only valid if this wait is an unique wait. Technically specaking this is a Head-Wait.

#12

Self Drawn

1 pt

Implies:
Notes:

#13

Flower Tiles

2 pts

Implies:
Notes:	The system does not generate this scoring element

#14

One Dragon Pung/Kong

2 pts

Implies:
Notes:

#15

Prevalent Wind

2 pts

Implies:
Notes:

#16

Seat Wind

2 pts

Implies:
Notes:

#17

Concealed Hand

2 pts

Implies:
Notes:

#18

All Chows

2 pts

Implies:
Notes:

#19

One Tile Hog

2 pts

Two Tile Hog

4 pts

Three Tile Hog

6 pts

Implies:
Notes:	You get 2 points for EACH "Tile Hog" Four Tile Hogs does not exist because that would require 16 tiles.

#20

One Double Pung/Kong

2 pts

Two Double Pung/Kong

4 pts

Implies:
Notes:

#21

Two Concealed Pungs

2 pts

Implies:
Notes:

#22

One Concealed Kong

2 pts

Implies:
Notes:

#23

All Simples

2 pts

Implies:
Notes:

#24

Outside Hand

4 pts

Implies:
Notes:

#25

Fully Concealed Hand

4 pts

Implies:
Notes:	"#25 Fully Concealed Hand" implies "#17 Concealed Hand" and "#12 Selfpick"

#26

Two Melded Kongs

4 pts

Implies:
Notes:

#27

Last Tile

4 pts

Notes:

The system does not generate this scoring element because it does not keep track of discarded tiles

#28

All Pungs

6 pts

Implies:
Notes:

#29

Half Flush

6 pts

Implies:
Notes:

#30

Mixed Shifted Chows

6 pts

Implies:
Notes:

#31

All Types

6 pts

Implies:
Notes:

#32

Melded Hand

6 pts

Implies:
Notes:	With a single-wait, the system may sometimes give an "Implied by #32" text but actually means "Does not combine with melded hand".

#33

Two Concealed Kong

6 pts

Implies:
Notes:

#34

Two Dragon Pung/Kong

6 pts

Implies:
Notes:

#35

Mixed Straight

8 pts

Implies:
Notes:

#36

Reversible Tiles

8 pts

Implies:
Notes:	"#36 Reversibles". You have either a "One Void" or a "Two Void" hand. "One voided" is therefor implied.

#37

Mixed Triple Chow

8 pts

Implies:
Notes:	Every variation of tiles will also contain ONE "#2 Mixed Double Chow". A Second Mixed Double Chow is optional [spanning the #37 and the fourth set], so numerically not implied. The system will not give you points for the 'spanning' Mixed Double Chow.

#38

Three Mixed Shifted Pungs

8 pts

Implies:
Notes:	The name used in OC is "Mixed Shifted Pungs". The Three was added to make the system consistent with "#60 Three Pure Shifted Pungs".

#39

Chicken Hand

8 pts

Implies:
Notes:	This usually consists of 3 suits, a honor head, mixed chow/pungs, no terminals, no kongs, one claimed set, win on discard, multiple waits.

#40

Last Tile Draw

8 pts

Implies:
Notes:	The system does not generate this scoring element because it does not keep track of discarded tiles

#41

Last Tile Claim

8 pts

Notes:

The system does not generate this scoring element because it does not keep track of discarded tiles

#42

Out With A Replacement Tile

8 pts

Notes:

The system does not generate this scoring element because it does not keep track of discarded tiles

#43

Robbing The Kong

8 pts

Notes:

The system does not generate this scoring element because it does not keep track of discarded tiles

#44

Lesser Honors and Knitted Tiles

12 pts

Notes:

The current version of the system does not generate this scoring element.
The next version will.

#45

Knitted Straight

12 pts

Implies:
Notes:	The straight is always concealed. If the winning tile is part of the straight it may be a discard from another player.

#46

Upper Four

12 pts

Implies:
Notes:

#47

Lower Four

12 pts

Implies:
Notes:

#48

Big Three Winds

12 pts

Implies:
Notes:

#49

Pure Straight

16 pts

Implies:
Notes:	Every variation of tiles will also contain ONE "#3 Short Straight". A Second Short Straight is optional [spanning the #49 and the fourth set], so numerically not implied. Martin told me that this was not allowed. The system will not give you points for the 'spanning' Short Straight.

#50

Three Suited Terminal Chows

16 pts

Implies:
Notes:

#51

Pure Shifted Chows

16 pts

Implies:
Notes:

#52

All Fives

16 pts

Implies:
Notes:

#53

Triple Pung

16 pts

Implies:
Notes:

#54

Three Concealed Pungs

16 pts

Implies:
Notes:

#55

Seven Pairs

24 pts

Notes:

The current version of the system does not generate this scoring element.
The next version will.

#56

Greater Honors and Knitted Tiles

24 pts

Notes:

The current version of the system does not generate this scoring element.
The next version will.

#57

All Even

24 pts

Implies:
Notes:

#58

Full Flush

24 pts

Implies:
Notes:

#59

Pure Triple Chow

24 pts

Implies:
Notes:	Every variation of tiles will also contain ONE "#1 Pure Double Chow". A Second Double chow is optional [spanning the #59 and the fourth set], so numerically not implied. Martin and Marianne ensured me that this was allowed. The system will give you points for the 'spanning' double chow.

#60

Three Pure Shifted Pungs

24 pts

Implies:
Notes:	The name used in OC is "Pure Shifted Pungs". The Three was added so that the system would not confuse it with "#68 Four Pure Shifted Pungs".

#61

Upper Tiles

24 pts

Implies:
Notes:

#62

Middle Tiles

24 pts

Implies:
Notes:

#63

Lower Tiles

24 pts

Implies:
Notes:

#64

Four Shifted Chows

32 pts

Implies:
Notes:	"#64 Four Shifted Chows" implies "#18 All Chows"

#65

Three Kongs

32 pts

Implies:
Notes:

#66

All Terminals And Honors

32 pts

Implies:
Notes:	"#66 All Terminals and Honors" imply "#5 Pung Terminal" and "#5 Pung Wind" [#15 and #16 are different] However, the following may combine [not mentioned in rules]. "#14 One Dragon" "#34 Two Dragon" [It would seem that Dragons are 'super' honors]

#67

Quadruple Chow

48 pts

Implies:
Notes:	"#67 Quadruple Chow" implies "#18 All Chows"

#68

Four Pure Shifted Pungs

48 pts

Implies:
Notes:

#69

All Terminals

64 pts

Implies:
Notes:	#69 All terminals implies "1#20 One Double Pung" and doesn't combine with "2#20 Two Double Pung" Every variation of tiles will also contain ONE "#20 Double pung". A Second Double pung is optional, so numerically not implied. Due to the "identical category of combinations" rule the second may not count. The system will flag the second as "Does not combine"

#70

Little Four Winds

64 pts

Implies:
Notes:

#71

Little Three Dragons

64 pts

Implies:
Notes:

#72

All Honors

64 pts

Implies:
Notes:	"#72 All Terminals and Honors" imply "#5 Pung Wind" [#15 and #16 are different] However, the following may combine [mentioned literally in rules]. "#14 One Dragon" "#34 Two Dragon" [It would seem again that Dragons are 'super' honors]

#73

Four Concealed Pungs

64 pts

Implies:
Notes:	The "Hands that are by their very nature concealed hands, should not (and do not) earn points for being concealed (fully or otherwise)". So it does not combine with "#17 Concealed Hand" and "#25 Fully concealed Hand".

#74

Pure Terminal Chows

64 pts

Implies:
Notes:

#75

Big Four Winds

88 pts

Implies:
Notes:	If you feel confused you may feed the system with "#70 Little Four Winds" which will be accepted for lower points. The system will not take "A hand of three winds and a head of the fourth" literally.

#76

Big Three Dragons

88 pts

Implies:
Notes:	If you feel confused you may feed the system with "#71 Little Three Dragons" which will be accepted for lower points. The system will not take "A hand of two dragons and a head of the remaining" literally.

#77

All Green

88 pts

Implies:
Notes:

#78

Nine Gates

88 pts

Notes:

The current version of the system does not generate this scoring element.
The next version will.

#79

Four Kongs

88 pts

Implies:
Notes:

#80

Seven Shifted Pairs

88 pts

Notes:

The current version of the system does not generate this scoring element.
The next version will.

#81

Thirteen Orphans

88 pts

Notes:

The current version of the system does not generate this scoring element.
The next version will.