Safe Haskell | None |
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This module provides a type class Quadratic
, for solving
quadratic equations.
Documentation
This type class provides a primitive method for solving quadratic
equations. For many floating-point or fixed-precision
representations of real numbers, using the usual "quadratic
formula" results in a significant loss of precision. Instances of
the Quadratic
class should provide an efficient high-precision
method when possible.
quadratic :: QRootTwo -> QRootTwo -> QRootTwo -> Maybe (a, a)Source
qroottwo_quadratic
a b c: solve the quadratic equation
ax² + bx + c = 0. Return the pair of solutions (x₁, x₂)
with x₁ ≤ x₂, or Nothing
if no solution exists. Note that
the coefficients a, b, and c are taken to be of an exact
type; therefore instances have the opportunity to work with
infinite precision.