Mathematical function processing The development of a 'real-time application requires to design a task which calculates a value Y from a value X. This ca1culation must be realized by a fail-safe program with regard to the following error:

'the deadline of the task is reached' .

Traditionally, the implementation of mathematical functions (Y = j(X))

can be made according to two different approaches:

• the analytical approach which produces a result Y from the input value X, after a certain duration D,

• the approach by successive approximations which ca1culates Y by means of the series Yn = j(Yn-1> X).

Compare these two approaches.