Description of sqr

sqr		Programmers Guide
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Category:intervals,math

Component type:function

Prototype

template <class Tnum> interval<Tnum> sqr(const interval<Tnum>& x) ;

Description

Squares an interval, returning a properly outward rounded interval. Squares each bound with outward rounding and returns a proper interval.


 sqr(x)=

 [sup(x)*sup(x),inf(x)*inf(x)]  if all negative interval

 [inf(x)*inf(x),sup(x)*sup(x)]  if stradle zero interval and inf(x) < sup(x)

 [sup(x)*sup(x),inf(x)*inf(x)]  if stradle zero interval and inf(x) > sup(x)

 [inf(x)*inf(x),sup(x)*sup(x)]  if all positive interval

Definition

interval.cct

Preconditions

Complexity

Example

In mathfunc.cc:

  cout << "A:" << A << endl << endl;
  cout << "Square     :" << sqr(A) << endl;
  cout << "Square Root:" << sqrt(A) << endl;
  cout << "Tangent    :" << tan(A) << endl;
  cout << "ArcTangent :" << atan(A) << endl;
  cout << "Sine       :" << sin(A) << endl;
  cout << "Cosine     :" << cos(A) << endl;
  cout << "Arcsine    :" << asin(A) << endl;
  cout << "Arcosine   :" << acos(A) << endl;
  cout << "Log        :" << log(A) << endl;
  cout << "Ln         :" << ln(A) << endl;
  cout << "Power (A^A):" << pow(A,A) << endl;
  cout << "Exponent   :" << exp(A) << endl;

Notes

See also