Kinetic::RootStack

Definition

The concept Kinetic::RootStack enumerates through roots of a function contained in a certain interval. They may return one extra root which has value std::numeric_limits<Root>::infinity(), as this allows the root stacks to delay isolating roots until the isolation is needed to properly evaluate comparisons.

Types

Kinetic::RootStack::Root
	The root of a function.
Kinetic::RootStack::Traits
	The traits class for this concept.

Creation

Kinetic::RootStack re;
	default constructor.
Kinetic::RootStack re ( Function f, Root lb, Root ub, Traits tr);
	Construct a Kinetic::RootStack over the roots of f in the open interval lb to ub.

Operations

void	re.pop ()	Advance to the next root. As a precondition, empty() must be false.
Root	re.top ()	Return the current root. As a precondition, empty() must be false. Note that the Root returned might not actually be in the interval (since the solver has not yet proved that there are no more roots).
bool	re.empty ()	Return true if there are known to be no more roots left. There might not actually be any roots of the polynomial left in the interval, but the work necessary to prove this has been delayed.

See Also

Kinetic::FunctionKernel, Kinetic::Certificate.