PiMuseum-Game-ChineseChess

Mathematical Model of ChineseChess

The chessboard consists of 10 rows and 9 columns,the mapping mathematical model is a plane systems of coordinates,because of the existence of chess notation,form the first person perspective,facing chessboard，columns 1 to 9 from left to right,rows 1 to 10 from bottom to top,therefore, two-dimensional coordinate system of XY axis is established.
From right to left, in the positive direction of the X-axis,From bottom to top, it is in the positive direction of the Y axis,the lower-left coordinates are assumed to be (1,1),One-to-one correspondence with chess notation.
Chess placement is a finite set in a two-dimensional coordinate system,that is, 10 * 9 = 90 coordinate points,it's a fixed data on the chessboard.

There are 32 chess pieces at the beginning,chessman with coordinate position attributes.The chessboard holds the chessman,we call the set of chessman R.
Chessman have the function of moving,after moving according to the characteristics of different chessman,the set R of chessman will be processed, and before moving, it will be constrained by other chessman on the falling point,the result of moving will affect the placement of the chessboard.
The only way to reduce set R is that red and black chessman occupy the same coordinate position, and the former can only be removed by the latter.

That is to say, turn system uses mobile function for chessboard, queries chessboard according to the rules of chessboard before moving, meets the conditions, then moves chessman, traverses the possibilities of falling chessman, and reviews the chessboard situation from the end of function execution

The chessboard is a global object, which can be operated in an orderly manner. It contains a set of chessman objects constrained by fixed coordinate data. It holds a global method or an operation object. Each round of operation produces two main behaviors for the set of chessboard objects: deleting the chessman objects and changing the coordinate attributes of the chessman objects.
Chessman are data objects, basic attributes are coordinates, basic methods are to change coordinate values, different chessman are derived from the basic class of chessman, the method of changing coordinates can be rewritten, or each chess object contains a constraint class, monitor the occupancy of coordinates of chessboard objects, and calculate the preconditions for changing the coordinate value to be full of its movement.
Playing Chess is a global method for the existence of operating objects or chessboard objects. The result of each processing of set R is rendered to Ui by using game engine through defined rules.