Description of cos

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Category:intervals,math

Component type:function

Prototype

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

Description

Computes the trigonometric cossine of an interval. If the interval's left bound is less than 0 or if its right bound is greater than 2*pi, then it will print
bad argument for restricted cossine of [x,y]
where x and y are the bounds of the inteval and will return NaN.

 cos(x) = 
 if !empty(x & pi):
 [-1.0,cos(inf(x))]          if cos(sup(x)) <= cos(inf(x))
 [-1.0,cos(sup(x))]          if cos(sup(x)) > cos(inf(x)) 
 if inf(x) > right(pi):
 [cos(inf(x)),cos(sup(x))]   if cos(inf(x)) < cos(sup(x))
 [cos(sup(x)),cos(inf(x))]   if cos(inf(x)) > cos(sup(x))
 else:
 [cos(sup(x)),cos(inf(x))]

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