# Learning Haskell with Chess

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# 1 Exercise 1 - Data Types

## 1.1 Learning Targets

• recapitulate Haskell types (keywords type and data, product and sum types)
• Helium: define equality functions (pattern matching)
• pretty printing

## 1.2 Tasks

• Define data types that represent boards (Board), squares (Square), positions (Pos), pieces (Piece) and game states (State).
• Helium: Implement suited eq-functions.
• Implement a function prettyBoard::Board->String, that transforms a board into a clearly arranged string representation (human readable :-)). Support this function with auxiliary functions that pretty print pieces, squares, ...
• Define the initial board (initialBoard::Board), test prettyBoard with initialBoard.
• Implement a simple evaluation function evalBoard::Board->Int as the difference of material on board (values: Pawn->1, Knight and Bishop->3, Queen->9, Rook->6, King->"infinity"=1000).

# 3 Exercise 3 - Gametree Generation and Minimax Algorithm

## 3.1 Learning Targets

• break code in modules
• complexity
• recursive data structures -> recursive algorithms

## 3.2 Tasks

• Define a data type that represents a game tree.
• Roughly estimate the number of nodes of the gametree with depth 4.
• Define a function play::Gametree->Int, that computes the value of a given game tree using the minimax Algorithm.