Chess Material Balance Difference
Reconcile caller pawn/knight/bishop/rook/queen inventories and explicit relative values; king excluded, promotions allowed within inventory, material balance is not position evaluation.
Description
Chess material balance depends on supplied piece values.
Chess material balance depends on supplied piece values. Kings are excluded from the inventory.1
Enter white/black count vectors and positive value vector in pawn,knight,bishop,rook,queen order. Counts are nonnegative integers totaling≤15 per side. Return both totals and signed balance.
When to use Chess Material Balance Difference
Use Chess Material Balance Difference when you need to evaluate the supplied records under the calculation and evidence rules below. No positional evaluation, king safety or promoted-piece history is inferred.
Prepare the supplied game state, observations and explicit variant settings. Follow the card, board, coordinate and state conventions in the calculation rules.
How to use Chess Material Balance Difference and understand its results
- Prepare the supplied game state, observations and explicit variant settings. Follow the card, board, coordinate and state conventions in the calculation rules.
- Enter whiteCountsPawnKnightBishopRookQueen, blackCountsPawnKnightBishopRookQueen, callerPieceValues using the field table and calculation rules, then run the tool.
- Read whiteMaterialValue, blackMaterialValue, signedWhiteMaterialBalance. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| whiteCountsPawnKnightBishopRookQueen | White counts pawn knight bishop rook queen | list of number | Required |
| blackCountsPawnKnightBishopRookQueen | Black counts pawn knight bishop rook queen | list of number | Required |
| callerPieceValues | Caller piece values | list of number | Required |
Enter white/black count vectors and positive value vector in pawn,knight,bishop,rook,queen order. Counts are nonnegative integers totaling≤15 per side. Return both totals and signed balance.
value=sum(pieceCount×callerValue); balance=white−black Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| whiteMaterialValue | White material value | number |
| blackMaterialValue | Black material value | number |
| signedWhiteMaterialBalance | Signed white material balance | number |
{
"input": {
"whiteCountsPawnKnightBishopRookQueen": [
8,
2,
2,
2,
1
],
"blackCountsPawnKnightBishopRookQueen": [
7,
2,
2,
2,
1
],
"callerPieceValues": [
1,
3,
3,
5,
9
]
},
"output": {
"whiteMaterialValue": 39,
"blackMaterialValue": 38,
"signedWhiteMaterialBalance": 1
}
}Limitations and assumptions
No positional evaluation, king safety or promoted-piece history is inferred.
Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Insufficient Material Draw Check: A conservative dead-material screen recognizes a limited set of mating-impossible inventories. An unrecognized position remains unclassified. For a complementary task, use Knight Move Distance Lookup: A knight’s minimum move count depends on board edges. Breadth-first search finds an exact empty-board distance.
References
-
Chess Material Balance Difference — tool.io
Similar or alternative tools
- Insufficient Material Draw Check
A conservative dead-material screen recognizes a limited set of mating-impossible inventories. An unrecognized position remains unclassified.
- Knight Move Distance Lookup
A knight’s minimum move count depends on board edges. Breadth-first search finds an exact empty-board distance.