Description of proper

proper_subset		Programmers Guide
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Category:intervals,math

Component type:function

Prototype

template <class Tnum> bool proper_subset(Tnum x, const interval<Tnum>& y) ;

Description

Tests if the number x is within the bounds of the interval y exclusivly. That is, x is within but not equal to the bounds of y. Returns true if x is greater than the lower bound of y and x is less than the upper bound of y.

Definition

interval.cct

Preconditions

Complexity

Example

In subset.cc:

  dint A(-2,2,true);
  dint B(-1,1);
  cout << "A in B? " << subset(A,B) <<endl;
  cout << "B in A? " << subset(B,A) <<endl;
  cout << "0 in A? " << subset(double(0),A) << endl;
  cout << "3 in A? " << subset(double(3),A) << endl;

  cout << "B Proper subset of A? " << proper_subset(B,A) << endl;
  cout << "B Proper subset of B? " << proper_subset(B,B) << endl;

Notes

See also