This package provides varieties of binary search functions. c.f.
"Numeric.Search" for the examples.
These search function can search for pure and monadic predicates, of type:
> pred :: Eq b => a -> b > pred :: (Eq b, Monad m) => a -> m b
The predicates must satisfy that the domain range for any codomain value is
continuous; that is, '∀x≦y≦z. pred x == pred z ⇒ pred y == pred x' .
For example, we can address the problem of finding the boundary of an
upward-closed set of integers, using a combination of exponential and binary
Variants are provided for searching within bounded and unbounded intervals of
both 'Integer' and bounded integral types.
The package was created by Ross Paterson, and extended by Takayuki Muranushi,
to be used together with SMT solvers.
The Module Structure
- "Numeric.Search" provides the generic search combinator, to search for pure
and monadic predicates. * "Numeric.Search.Bounded" , "Numeric.Search.Integer" ,
"Numeric.Search.Range" provides the various specialized searchers, which means
less number of function arguments, and easier to use.