Coordination and inverter are two vital concepts in programming. They define how the functions are applied to different types of objects to ensure type security and flexibility.
Cooperation: Keep assignment compatibility
Coordination is suitable for mapping functions that maintain the compatibility of objects. This means that if the object of the type X can be assigned to the object of the type Y, the result of applying the mapping function to X can always be assigned to the result of applying the function to Y.
For example, consider a set of animals, including Animal, Tiger, FRUIT and Banana. By defining a mapping function from Animal to IenuMerable, we get the following types:
<code>{ Animal, Tiger, Fruit, Banana } → { IEnumerable<animal>, IEnumerable<tiger>, IEnumerable<fruit>, IEnumerable<banana> }</banana></fruit></tiger></animal></code>and INUMERABLE
⇒ INUMERABLE
Different from the coordination, the inverter reverses the assignment compatibility relationship. This means that if the object of the type X can be assigned to the object of the type Y, the result of applying the mapping function to Y can be assigned to the result of the application of the function to X. Consider the collection of IComparable type:
In C#, we observe the following compatible relationship:
<code>{ IComparable<tiger>, IComparable<animal>, IComparable<fruit>, IComparable<banana> } → { IC<tiger>, IC<animal>, IC<fruit>, IC<banana> }</banana></fruit></animal></tiger></banana></fruit></animal></tiger></code>The application mapping function reverses the direction of compatibility. As a result, IC
⇐ ic
, IC<code>Animal ⇒ Tiger Tiger ⇒ Tiger Banana ⇒ Banana Fruit ⇒ Banana Fruit ⇒ Fruit</code>⇐ ic
, and so on. This behavior ensures that the device that can compare Animal can compare the Tiger, otherwise it is not the other.
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