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Q157950: INFO: STL Sample for Trigonometry (sin, cos, tan, etc.) Function

Article: Q157950
Product(s): Microsoft C Compiler
Version(s): 4.2,5.0,6.0
Operating System(s): 
Keyword(s): kbcode kbtemplate kbSTL kbVC420 kbVC500 kbVC600 kbDSupport
Last Modified: 04-MAY-2002

-------------------------------------------------------------------------------
The information in this article applies to:

- The Standard C++ Library, used with:
   - Microsoft Visual C++, 32-bit Enterprise Edition, versions 4.2, 5.0, 6.0 
   - Microsoft Visual C++, 32-bit Professional Edition, versions 4.2, 5.0, 6.0 
   - Microsoft Visual C++, 32-bit Learning Edition, version 6.0 
   - Microsoft Visual C++.NET (2002) 
-------------------------------------------------------------------------------

NOTE: Microsoft Visual C++ NET (2002) supported both the managed code model that is provided by the .NET Framework and the unmanaged native Windows code model. The information in this article applies to unmanaged Visual C++ code only.

SUMMARY
=======

The sample code below illustrates how to use the STL acos, asin, atan, atan2,
cos, cosh, sin, sinh, tan, tanh functions in Visual C++.

MORE INFORMATION
================

Required Header
---------------

     <valarray>
     <cmath>

Prototype
---------

  // acos
       template<class T>
       inline valarray<T> acos(const valarray<T>& x);

  // asin
       template<class T>
       inline valarray<T> asin(const valarray<T>& x);

  // atan
       template<class T>
       inline valarray<T> atan(const valarray<T>& x);

  // atan2
       template<class T>
       inline valarray<T> atan2(const valarray<T>& x, const valarray<T>& y);

       template<class T>
       inline valarray<T> atan2(const valarray<T> x, const T& y);

       template<class T>
       inline valarray<T> atan2(const T& x, const valarray<T>& y);

  // cos
       template<class T>
       inline valarray<T> cos(const valarray<T>& x);

  // cosh
       template<class T>
       inline valarray<T> cosh(const valarray<T>& x);

  // sin
       template<class T>
       inline valarray<T> sin(const valarray<T>& x);

  // sinh
       template<class T>
       inline valarray<T> sinh(const valarray<T>& x);

  // tan
       template<class T>
       inline valarray<T> tan(const valarray<T>& x);

  // tanh
       template<class T>
       inline valarray<T> tanh(const valarray<T>& x);

NOTE: The class/parameter names in the prototype may not match the version in the
header file. Some have been modified to improve readability.

Description
-----------

This article illustrates the use of STL trigonometry functions through sample
code.

Sample Code
-----------

  ////////////////////////////////////////////////////////////////////// 
  // 
  // Compile options needed: /GX
  // 
  // main.cpp : Illustrates the use of STL trigonometry functions.
  // 
  // Functions:
  // 
  //  acos, asin, atan, atan2, cos, cosh, sin, sinh, tan, tanh
  // 
  // Written by Yeong-Kah Tam
  // of Microsoft Product Support Services,
  // Copyright (c) 1996 Microsoft Corporation. All rights reserved.
  ////////////////////////////////////////////////////////////////////// 

  #include <iostream>                 // for i/o functions
  #include <valarray>                 // for valarray
  #include <cmath>                    // for trigonometry functions

  #if _MSC_VER > 1020   // if VC++ version is > 4.2
     using namespace std;  // std c++ libs implemented in std
     #endif
   
  #define ARRAY_SIZE  3               // array size

  void main()

  {

      // Initialize val_array to values -1, 0 and 1.
      valarray<double> val_array(ARRAY_SIZE);
      for (int i = 0; i < ARRAY_SIZE; i++)
          val_array[i] = i - 1;

      // Display the size of val_array.
      cout << "Size of val_array = " << val_array.size() << endl;

      // Display the values of val_array before calling any trigonometry
      // functions.
      cout << "The values in val_array:" << endl;
      for (i = 0; i < ARRAY_SIZE; i++)
          cout << val_array[i] << "    ";
      cout << endl << endl;

      // Initialize rev_valarray that is the reverse of val_array.
      valarray<double> rev_valarray(ARRAY_SIZE);
      for (i = 0; i < ARRAY_SIZE; i++)
          rev_valarray[i] = val_array[ARRAY_SIZE - i - 1];

      // Display the size of rev_valarray.
      cout << "Size of rev_valarray = " << rev_valarray.size() << endl;

      // Display the values of rev_valarray.
      cout << "The values in rev_valarray:" << endl;
      for (i = 0; i < ARRAY_SIZE; i++)
          cout << rev_valarray[i] << "    ";
      cout << endl << endl;

      // rvalue_array to hold the return value from calling the trigonometry
      // functions.
      valarray<double> rvalue_array;

      // ----------------------------------------------------------------
      // acos() - display the result of rvalue_array
      // ----------------------------------------------------------------
      rvalue_array = acos(val_array);
      cout << "The result after calling acos():" << endl;
      for (i = 0; i < ARRAY_SIZE; i++)
          cout << rvalue_array[i] << "     ";
      cout << endl << endl;

      // ----------------------------------------------------------------
      // asin() - display the result of rvalue_array
      // ----------------------------------------------------------------
      rvalue_array = asin(val_array);
      cout << "The result after calling asin():" << endl;
      for (i = 0; i < ARRAY_SIZE; i++)
          cout << rvalue_array[i] << "     ";
      cout << endl << endl;

      // ----------------------------------------------------------------
      // atan() - display the result of rvalue_array
      // ----------------------------------------------------------------
      rvalue_array = atan(val_array);
      cout << "The result after calling atan():" << endl;
      for (i = 0; i < ARRAY_SIZE; i++)
          cout << rvalue_array[i] << "     ";
      cout << endl << endl;

      // ----------------------------------------------------------------
      // atan2() - display the result of rvalue_array
      // ----------------------------------------------------------------

      // This template function returns an object of class valarray<T>,
      // each of whose elements at I is the arctangent of x[I] / y[I].
      rvalue_array = atan2(val_array, rev_valarray);
      cout << "The result after calling atan2(val_array, rev_valarray):"
           << endl;
      for (i = 0; i < ARRAY_SIZE; i++)
          cout << rvalue_array[i] << "     ";
      cout << endl << endl;

      // This template function stores in element I the arctangent of
      // x[I] / y.
      rvalue_array = atan2(val_array, 3.1416);
      cout << "The result after calling atan2(val_array, 3.1416):" << endl;
      for (i = 0; i < ARRAY_SIZE; i++)
          cout << rvalue_array[i] << "     ";
      cout << endl << endl;

      // This template function stores in element I the arctangent of
      // x / y[I].
      rvalue_array = atan2(3.1416, val_array);
      cout << "The result after calling atan2(3.1416, val_array):" << endl;
      for (i = 0; i < ARRAY_SIZE; i++)
          cout << rvalue_array[i] << "     ";
      cout << endl << endl;

      // ----------------------------------------------------------------
      // cos() - display the result of rvalue_array
      // ----------------------------------------------------------------
      rvalue_array = cos(val_array);
      cout << "The result after calling cos():" << endl;
      for (i = 0; i < ARRAY_SIZE; i++)
          cout << rvalue_array[i] << "     ";
      cout << endl << endl;

      // ----------------------------------------------------------------
      // cosh() - display the result of rvalue_array
      // ----------------------------------------------------------------
      rvalue_array = cosh(val_array);
      cout << "The result after calling cosh():" << endl;
      for (i = 0; i < ARRAY_SIZE; i++)
          cout << rvalue_array[i] << "     ";
      cout << endl << endl;

      // ----------------------------------------------------------------
      // sin() - display the result of val_array
      // ----------------------------------------------------------------
      rvalue_array = sin(val_array);
      cout << "The result after calling sin():" << endl;
      for (i = 0; i < ARRAY_SIZE; i++)
          cout << rvalue_array[i] << "     ";
      cout << endl << endl;

      // ----------------------------------------------------------------
      // sinh() - display the result of val_array
      // ----------------------------------------------------------------
      rvalue_array = sinh(val_array);
      cout << "The result after calling sinh():" << endl;
      for (i = 0; i < ARRAY_SIZE; i++)
          cout << rvalue_array[i] << "     ";
      cout << endl << endl;

      // ----------------------------------------------------------------
      // tan() - display the result of val_array
      // ----------------------------------------------------------------
      rvalue_array = tan(val_array);
      cout << "The result after calling tan():" << endl;
      for (i = 0; i < ARRAY_SIZE; i++)
          cout << rvalue_array[i] << "     ";
      cout << endl << endl;

      // ----------------------------------------------------------------
      // tanh() - display the result of val_array
      // ----------------------------------------------------------------
      rvalue_array = tanh(val_array);
      cout << "The result after calling tanh():" << endl;
      for (i = 0; i < ARRAY_SIZE; i++)
          cout << rvalue_array[i] << "     ";
      cout << endl << endl;

  } 

Program Output
--------------

  Size of val_array = 3
  The values in val_array:
  -1    0    1

  Size of rev_valarray = 3
  The values in rev_valarray:
  1    0    -1

  The result after calling acos():
  3.14159     1.5708     0

  The result after calling asin():
  -1.5708     0     1.5708

  The result after calling atan():
  -0.785398     0     0.785398

  The result after calling atan2(val_array, rev_valarray):
  -0.785398     0     2.35619

  The result after calling atan2(val_array, 3.1416):
  -0.308168     0     0.308168

  The result after calling atan2(3.1416, val_array):
  1.87896     1.5708     1.26263

  The result after calling cos():
  0.540302     1     0.540302

  The result after calling cosh():
  1.54308     1     1.54308

  The result after calling sin():
  -0.841471     0     0.841471

  The result after calling sinh():
  -1.1752     0     1.1752

  The result after calling tan():
  -1.55741     0     1.55741

  The result after calling tanh():
  -0.761594     0     0.761594

REFERENCES
==========

Visual C++ Books On Line: Visual C++ Books:C/C++:Standard C++ Library Reference.

Additional query words: STL STLSample acos, asin, atan, atan2, cos, cosh, sin, sinh, tan, tanh

======================================================================
Keywords          : kbcode kbtemplate kbSTL kbVC420 kbVC500 kbVC600 kbDSupport 
Technology        : kbVCsearch kbAudDeveloper kbVCLibrary
Version           : :4.2,5.0,6.0
Issue type        : kbinfo

=============================================================================

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