File: increasing.doc

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\DOC increasing

\TYPE {increasing : ('a -> 'b) -> 'a -> 'a -> bool}

\SYNOPSIS
Returns a total ordering based on a measure function

\DESCRIBE
When applied to a ``measure'' function {f}, the call {increasing f} returns a 
binary function ordering elements in a call {increasing f x y} by
{f(x) <? f(y)}, where the ordering {<?} is the OCaml polymorphic ordering.

\FAILURE
Never fails unless the measure function does.

\EXAMPLE
{
  # let nums = -5 -- 5;;
  val nums : int list = [-5; -4; -3; -2; -1; 0; 1; 2; 3; 4; 5]
  # sort (increasing abs) nums;;
  val it : int list = [0; 1; -1; 2; -2; 3; -3; 4; -4; 5; -5]
}

\SEEALSO
<?, decreasing, sort.

\ENDDOC