Scoring variations
Logic of scoring system
- Hierarchical relationships
Certain scoring items are grayed out (indicated by the gray tile icon beside the
scoring item). To enable the item, you must first enable the equivalent rule option, or in
the case of a scoring item for losers, assign a value for the equivalent item in the
winner's scoring list. E.g., if you want to assign scoring for Flowers and Seasons, you
must first check the Use Flowers and Seasons box on the General page
(under the Rules section in the category tree of the Preferences dialog
box).
- Basic Points category
Scoring assigned to items in the Basic points category is
always paid regardless of appearing or recurring of these patterns in
logically higher patterns. Scoring for these items can be specified only by
using the points or fu units. For rules based on Faan-Laak scoring
system, the points unit refers to auxiliary points which
result in a specified amount of faan units. When this scoring system
is used, auxiliary points are handled as a bonus and normally converted into faan units only if the hand meets all requirements specified
on the winning hand (you can specify this option by using the Exceptions
dialog box).
- Implied patterns
Certain patterns imply other patterns. E.g., Four concealed triplets
is
by definition a Pung hand, and Big Three Dragons contains three Pungs or Kongs of
Dragons so no additional points are paid for these sub-patterns (if you want
to give additional bonus for Kongs, you should apply scoring for the Concealed
Kong or Melded Kong patterns, or for patterns like Two Kongs,
Three Kongs, etc.) Note however that point assignments listed in the Basic points category are always
paid (see above). For all hands containing logically implied patterns Four Winds calculates points only for the logically
highest pattern and ignores the implied patterns.
Four Winds assumes that assignments of the Scoring list have been done logically.
E.g., it is assumed that Four concealed Pungs (if it has been assigned a value)
pays at least the same as Four triplets, three concealed. Specifying otherwise does
not have effect on the way Four Winds calculates the points: of the two
nested scoring items
(both of which are enabled, i.e., that score more than 0 points) the one that is logically
less valuable is ignored, disregarding actual assignments. Also, it is
assumed that for patterns like Two Dragons there is a scoring
specification for logically higher counterparts (in this case Big Three
Dragons), since the program will not give extra doubles/faan/han for
surplus Pungs/Kongs, but instead zeroes scoring for single Dragon
Pungs/Kongs (excluding points for for patterns listed in the Basic points
category). So, if the player has three Dragon Pungs/Kongs, it is not
possible to have scores for Two Dragons + Pung of Dragons. Instead,
you should assign scoring for Big Three Dragons.
For certain
patterns (e.g. Pung hand and Chow hand) you can enable Forced
scoring, which means that if these patterns appear nested in
logically higher patterns (as Pung hand in Four concealed triplets
or in All terminals and Honors), the program gives points for
both parent and child patterns. Also, for certain patterns (e.g. Self-drawn
last tile, Out on a pair and One-chance hand) scoring is paid, if
it is specified in other unit than that of its parent pattern. E.g. Fully
concealed hand implies Self-drawn last tile, but in Japanese
Classical rules you get 1 double for the previous and 2 points for the
latter.
Note: Several patterns based on Chows and Pungs/Kongs, and certain
patterns based on the whole hand, allow specifying a separate scoring for
having the pattern concealed or melded (or having it in a weakly concealed
or partially melded hand, depending on the selected option). When a pattern
has a separate scoring for being concealed (or in a weakly concealed hand),
the scoring patterns Concealed hand and Fully concealed hand are
not considered as implied patterns. It is recommended that if separate
scoring values for concealed versions are used, the scoring for Concealed
hand and Fully concealed hand is zeroed.
- Overlapping patterns
Certain patterns overlap with others. Scores are given for all different
patterns involved. E.g., a hand that contains Chows of Bamboo 1-2-3 and
7-8-9, and an additional Chow of Bamboo 1-2-3 gets scores for both 123789
of one suit and Two identical Chows, even if one set
(Bamboo 1-2-3) is used once in both patterns. But this does not
apply to identical overlapping patterns, e.g., you would not score
twice for 2 Pungs and a pair in sequence if you have a hand with
Bamboo 1-1, Bamboo 2-2-2 and Bamboo 3-3-3, and Bamboo 4-4.
Also, if the extra set forms a pattern that is already implied in another
pattern, no extra points are given. E.g., if you have Bamboo 1-2-3,
Character 1-2-3 and Dots 1-2-3, and another set of Bamboo 1-2-3, and the
rules assign scoring for Same Chow of all suits, you cannot use the
extra Chow to compose yet another Same Chow of all suits, or even its
sub pattern Same Chow of two suits, since these are already implied
by Same Chow of all suits. But you can use the extra Chow to compose Two
identical Chows (since this pattern is not implied). Note that many
pattern-centered rules allow implied scores. E.g., Chinese
New Style rules may allow a player to use an extra B-123 in B-123 C-456
D-789 to compose yet another instance of B-123 C456 D789; Chinese
Official rules do not allow duplicating a pattern, but would allow using
an extra B-123 that appears together with B-123 C-123 D-123 to compose B-123
C123 (an implied pattern), B-123 D-123 (an implied pattern), or B-123 B123
(a non- implied pattern). Four Winds would allow using the pattern only in
B-123 B-123. Another example would be a hand consisting of B-123 B-456 B-789
and yet another set of B-123. Chinese Official rules would allow using the
extra Chow in one (and only one) of the following three: Two
identical Chows, Run of six tiles of one suit (B-123456) or 123789
of the same suit (B-123 B789). Chinese New Style rules might allow also
duplicating the B-123 B456 B789. Four Winds would allow using the extra
B-123 only for Two identical Chows, since that is the only
pattern that is not already implied by Three Chows of 1 suit, step
3. In practice these differences are rarely significant as
alternative overlapping patterns often produce identical points: the total
score is normally the same despite minor differences in composing patterns.
Note however that Four Winds by default allows unlimited use of one and same
set in several different patterns, as long as the patterns do not imply each
other. E.g., if you have B-123, C-456 and D-789, and D-123, you can have
scores for 3 Chows of 3 suits, step 3 (B123 C456 D789), Two Chows
of two suits (B123 D123) and 123789 of the same suit (D123 D789).
Here D-123 is used in two different patterns. Some rules do not allow this
(but restrict the use to just one pattern only), but for these kinds of
patterns an alternative exclusion rule is normally provided as an option.
- Recurring patterns and mixed concealed and melded patterns
Certain scoring patterns, e.g. Same Chow of two suits may appear
more than once in a hand. If scoring is specified for the equivalent recurring
pattern (e.g., Same Chow of two suits twice), Four Winds calculates the value of the
patterns using the scoring value of the logically higher pattern rather than
doubling the score of the logically lower one. This applies also in a situation,
where the pattern appears once concealed and once melded. It is assumed that the
scoring
for the pattern appearing twice (melded or not) is higher than the scoring
for the
equivalent melded and concealed components added together.
Note: Four Winds does not give additional points for recurring of
patterns that are possible only because of use of jokers. So it is not
possible to have scores e.g. for Two Dragons twice (for having four
Dragon Pungs or Kongs).
- Scoring units
Four Winds lets you specify the scoring in points, fu (Mangan
scoring system), doubles, faan (Faan-Laak scoring
system), han (Mangan scoring system) or percentage
of Limit (only a subset of the units is used, depending on the selected
scoring system and currently active pattern). If % of Limit is used as the unit,
or if the points unit (in a point-double based scoring system) is used and
the specified value equals or exceeds the current limit (or if it is marked as
a direct count by
using the Count directly option), all other
patterns are
automatically excluded from the point calculation and the final score is determined
directly by using the specified scoring value (which is not cut down to
limit points; or if a settling
table is used, it is bypassed). All patterns are examined and the
pattern with the highest scoring value is chosen. However, Four Winds also allows scoring for
multiple limit hands (the option can be turned on by checking the Allow
multiple limit hands box on the Limit & Special Hands option
page), in which case scoring for all patterns specified by
using the % of Limit unit, or marked as direct counts (by
using the Count directly option appearing for each limit and special
hand scoring of which is specified in the points unit), are
added together and scoring for all other patterns is ignored. Four
Winds compares % of Limit values or directly counted point
values with the total for cumulative patterns, and chooses the best possible
scoring plan for the hand (e.g., if the hand would score more by using the
scoring values of its components, that total is used instead of scoring
specified by direct counts).
Note: When the Faan-Laak or Mangan scoring system is used, the Count
directly option is not available (faan, fu and han
units are automatically cumulative and % of Limit units are
automatically direct counts). The option is available only for systems
based on a point-double scoring system and when the points unit is used
for specifying the scoring for the pattern (and the specified value does not
exceed the value of the current Limit).
- Allowing melded Limit and Special hands
For most hands (excluding the ones in the Classical, Pairs and Special
ways of going out categories, and few other hands), Four Winds lets you specify (by
using the Allow melded option), whether melded sets are allowed in a
hand (i.e., sets that are melded before completing the hand – winning tile
can always be claimed). You can also specify (by using the Double if
concealed option) whether the hand scores double the specified value if
it goes out concealed (winning tile can be claimed). As for concealed hands
containing triplets, concealed Kongs are normally interpreted as concealed
triplets and accepted in a hand. The type of Kongs that are interpreted as
concealed are specified on the General option page of the Rules section.
Note however that for concealed irregular hands Kongs are never
allowed, no matter what is their type. But if the Allow melded option
is used to allowed melded sets in an irregular hand (this is typical e.g. in
French rules), all kinds of Kongs are allowed, as well.
- Scoring for losers
Four Winds 2 allows separate scoring for losers. You can also
specify (by using the For ready hands only option, appearing for each
pattern when loser scoring is specified) for most patterns and hands, whether the points are paid only in case the
loser has a cleared hand:
in this case the hand must meet all the criteria specified for the winning hand, e.g., the hand,
if it were completed, must be worth 1 double, if this is required from the winning hand,
and if the winning hand may not contain mixed suits, the cleared hand must be able to be
completed in a way that qualifies for a non-mixed hand; also, if the number
of Chows is limited, there must be no more Chows in the hand than allowed. If you wish, you can
enable an exception, which ignores the minimum
point requirement when the ready state of the losers' hands is examined.
Note that though certain hands by definition imply "readiness" in a sense
that player needs a maximum of one tile to have four complete sets and a pair, the hand does
not necessarily qualify for a "cleared" hand, if the rules apply restrictions on
the winning hand. E.g., Terminal or Honor in each set implies
"readiness" in a sense that the tiles must
appear in completed sets (excluding the set that would complete the hand), but if the winning hand must be worth 2
doubles,
and the scoring for Terminal or Honor in each set itself gives only one double, the hand does not qualify for a cleared hand, if it does not
contain other patterns that score at least one additional double.
In order to receive points for any of the set-based patterns (e.g., for 3 Chows of one suit,
step 3), as opposed to patterns based on the whole hand, all the required sets must be complete. Only the
patterns listed on the Patterns based on the whole hand tab allow
incomplete sets. E.g., it is possible to allow scoring for One suit with Honors
even if the hand consists of several incomplete sets.
Example of a loser's hand which does not earn extra points for 3 Chows of one
suit, step 3, even if the hand is cleared (ready). All the required
sets must
be completed.
Example of a loser's hand receiving bonus for One Suit with Honors, if the rules
do not require that the hand must be cleared in order to be paid. Notice that the only
complete set in this hand is a pair of Bamboo 2's (or a Chow of Bamboo 1-2-3).
The difference can be illustrated by comparing the patterns Four Chows (in
the Patterns based on Chows category) and Chow hand (in the
Patterns based on the whole hand category). The previous pattern requires
that all four Chows are actually completed, the latter allows that only three of the Chows
are completed, provided that the player needs only one tile to complete his hand
into four
Chows and a pair (i.e., the player has three completed Chows and a pair and needs one tile
to complete the fourth Chow). The hand, however, does not need to be cleared
(meet all requirements specified for the winning hand), if this is not
specifically required by the For ready hands only option.
- Illogical assignments
Four Winds does not prevent you from doing senseless scoring assignments. E.g.,
if your rules use the Faan-laak scoring system, you would not
normally assign faan scoring for the items in the Basic points category,
though Four Winds lets you do so.
It is recommended that you use a pre-defined rule preset as a template for your own
rule-preset and make only minor modifications to it.
- Kong scoring. Scoring for complex hands containing Kongs and
concealed triplets is done according to Chinese Official 2007 rules, and
does not follow the above mentioned logic, but is based on a
Kong scoring chart laid out by player
community using these rules. It has some flaws, resulting occasionally in
unbalanced scoring (statistically easier hands scoring more than more
difficult hands), but since complex Kong scoring is not used in any other
common rules, and since this scoring method is applied only for hands containing three or more Kongs, part of which
are concealed, it is not likely that this scoring method becomes an
issue for any other rules.
Note: The pattern based games are optimized for traditional games with
13 tiles (+ the winning tile). If you use a lots of patterns with 16-tile games,
it is likely that part of the patterns are ignored in scoring. This can happen
if the patterns overlap or combine in a way that is not possible in a 13-tile
game. Accordingly, it is recommended that pattern selection is made with care
for 16-tile games.
Related topics:
Initial and Limit points
Inclusion and scoring of hands and patterns
Rounding
Settling tables
Paying method
Penalties
Procedures:
Creating and managing custom rule presets