62 lines
1.6 KiB
C++
62 lines
1.6 KiB
C++
#ifndef ZTD_COMPLEX_HPP
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#define ZTD_COMPLEX_HPP
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#include <iostream>
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#include <math.h>
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/*! @file complex.hpp
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* @brief Complex numbers and related computation
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*/
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namespace ztd
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{
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//! @brief Complex number
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class complex
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{
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public:
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//! @brief Contructor a+bi
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complex(const double& a=0, const double& b=0);
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//! @brief Contructor z
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complex(const complex& z);
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inline complex& operator=(const complex& z) { real=z.real; im=z.im; return *this;}
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//! @brief Complex Addition
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complex& operator+=(complex z);
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//! @brief Complex Substraction
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complex& operator-=(complex z);
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//! @brief Complex Multiplication
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complex& operator*=(complex z);
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//! @brief Complex Division
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complex& operator/=(complex z);
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//! @brief Real part
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double real;
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//! @brief Imaginary part
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double im;
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inline double mod() { return sqrt(real*real + im*im); }
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double arg() { return atan2(real, im); }
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};
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//! @brief Complex Addition
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inline complex operator+(complex z1, const complex& z2) { return z1 += z2; }
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//! @brief Complex Substraction
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inline complex operator-(complex z1, const complex& z2) { return z1 -= z2; }
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//! @brief Complex Multiplication
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inline complex operator*(complex z1, const complex& z2) { return z1 *= z2; }
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//! @brief Complex Division
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inline complex operator/(complex z1, const complex& z2) { return z1 /= z2; }
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//! @brief Output a+bi
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inline std::ostream& operator<<(std::ostream& stream, complex z) { stream << z.real << '+' << z.im << 'i'; return stream; }
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//! @brief Constant i definition
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extern const complex i;
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}
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#endif //ZTD_COMPLEX_HPP
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