C++中的复数|套装2

我们在C++中介绍并讨论了复数中的概念。套装1

其余带有示例的功能在这里讨论：

• log() –用于返回复数的日志。

  // CPP program to illustrate the use of log()
  #include      
     
  // for std::complex, std::log
  #include  
  using namespace std;
     
  // driver program
  int main ()
  {    
    // initializing the complex: (-1.0+0.0i)
    complex mycomplex (-1.0, 0.0);
     
    // use of log()
    cout << "The log of " << mycomplex << " is "
         << log(mycomplex) <

  输出：

  The log of (-1,0) is (0,3.14159)
  

• cos() –计算一个复数值z的复余弦。余弦的数学定义是

  cos z = (e^(iz) + e^(-iz))/2

• sin() –计算一个复数值z的复正弦值。余弦的数学定义是

  sin z = (e^(iz) - e^(-iz))/2i

• tan() –计算复杂值z的复杂切线。切线的数学定义是

  tan z = i(e^(-iz) - e^(iz)) / (e^(-iz) + e^iz)

  // example to illustrate the use of sin(), cos() and tan()
  #include      
     
  // CPP program to illustrate
  // std::complex, std::cos, std::sin, std::tan
  #include  
  using namespace std;
     
  // driver program
  int main ()
  {    
    // initializing the complex: (-1.0+0.0i)
    complex mycomplex (0.0, 1.0);
     
    // use of cos()
    cout << "The cos of " << mycomplex << " is "
         << cos(mycomplex) <

  输出：

  The cos of (0,1) is (1.54308,-0)
  The sin of (0,1) is (0,1.1752)
  The tan of (0,1) is (0,0.761594)
  

• cosh() –查找给定复合体的双曲余弦。双曲余弦的数学函数为：

  cosh(z)=(e^z+e^(-z))/2

• sinh() –查找给定复数的双曲正弦值。双曲正弦的数学函数为：

  sinh(z)=(e^z-e^(-z))/2.

• tanh() –查找给定复合体的双曲正切。双曲线tan的数学函数为：

  tanh(z)=(e^(2z)-1)/(e^(2z)+1)

  // CPP program to illustrate the 
  // use of cosh(),sinh(),tanh()
  #include 
  #include 
    
  // For std::complex
  #include 
  using namespace std;
     
  // Driver program
  int main()
  {       
      // behaves like real cosh, sinh, tanh along the real line;
      // z = a + 0i
      complex z(1, 0); 
      cout << "cosh" << z << " = " << cosh(z)
                << " (cosh(1) = " << cosh(1) << ")"< z2(0, 1); 
      cout << "cosh" << z2 << " = " << cosh(z2)
                << " ( cos(1) = " << cos(1) << ")"<

  输出：

  cosh(1.000000,0.000000) = (1.543081,0.000000) (cosh(1) = 1.543081)
  sinh(1.000000,0.000000) = (1.175201,0.000000) (sinh(1) = 1.175201)
  tanh(1.000000,0.000000) = (0.761594,0.000000) (tanh(1) = 0.761594)
  cosh(0.000000,1.000000) = (0.540302,0.000000) ( cos(1) = 0.540302)
  sinh(0.000000,1.000000) = (0.000000,0.841471) ( sin(1) = 0.841471)
  tanh(0.000000,1.000000) = (0.000000,1.557408) ( tan(1) = 1.557408)
  

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