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cosh (<valarray>)

Operates on the elements of an input valarray, returning a valarray whose elements are equal to the hyperbolic cosine of the elements of the input valarray.

template<class Type> 
   valarray<Type> cosh( 
      const valarray<Type>& _Left 
   );

Parameters

  • _Left
    The input valarray whose elements are to be operated on by the member function.

Return Value

A valarray whose elements are equal to the hyperbolic cosine of the elements of the input valarray.

Remarks

Identities defining the hyperbolic cosine in terms of exponential function:

cosh ( z ) = ( exp ( z ) + exp ( -z ) ) / 2

Example

// valarray_cosh.cpp
// compile with: /EHsc
#include <valarray>
#include <iostream>
#include <iomanip>

int main( )
{
   using namespace std;
   double pi = 3.14159265359;
   int i;

   valarray<double> va1 ( 9 );
   for ( i = 0 ; i < 9 ; i++ ) 
      va1 [ i ] =  pi * ( 0.25 * i - 1 );
   valarray<double> va2 ( 9 );

   cout << "The initial valarray is:\n";
   for (i = 0 ; i < 9 ; i++ )
      cout << setw( 10 ) << va1 [ i ]
      << "  radians, which is  "
      << setw( 5 ) << ( 180/pi ) * va1 [ i ]
      << "  degrees" << endl;
   cout << endl;

   va2 = cosh ( va1 );
   cout << "The hyperbolic cosine of the initial valarray is:\n";
   for ( i = 0 ; i < 9 ; i++ )
      cout << va2 [ i ] << endl;
}

The initial valarray is: -3.14159 radians, which is -180 degrees -2.35619 radians, which is -135 degrees -1.5708 radians, which is -90 degrees -0.785398 radians, which is -45 degrees 0 radians, which is 0 degrees 0.785398 radians, which is 45 degrees 1.5708 radians, which is 90 degrees 2.35619 radians, which is 135 degrees 3.14159 radians, which is 180 degrees The hyperbolic cosine of the initial valarray is: 11.592 5.32275 2.50918 1.32461 1 1.32461 2.50918 5.32275 11.592

Requirements

Header: <valarray>

Namespace: std

See Also

Other Resources

<valarray> Members