Haskell Derivative Calculator

Derivative Calculator Code for Haskell.

How does it work?

The Haskell Derivative Calculator uses the MathExpr custom data typeto represent certain polynomials. This calculator has 4 functions:

• value
• simp
• diff
• readDiffWrite

value

value takes a MathExpr and an n value as an input and returns the value of that input. For Example:

value (Sum X (Coef 2.0)) 3.0 == 5.0

simp

simp takes a MathExpr and simplifies the expression down to its most simplified form. For Example:

simp (Sum (Coef 0.0) (Prod (Coef 2.0) (Coef 1.0))) == Coef 2.0

diff

diff takes a MathExpr calculates the derivative expression. For Example:

diff (Log (Sum (Prod (X) (X)) (Coef (-1.0)))) == (Quot (Sum (Sum (Prod (Coef 1.0) X) (Prod X (Coef 1.0))) (Coef 0.0)) (Log (Sum (Prod X X) (Coef (-1.0)))))

readDiffWrite

readDiffWrite reads a input file in which has a series of MathExprs, each on their own line. They are ran through diff and simp and then are written to an output file.