84 lines
2.6 KiB
C++
84 lines
2.6 KiB
C++
#include <cmath>
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#include <string>
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#include <sstream>
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namespace numbers {
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class complex {
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double c_re = 0;
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double c_im = 0;
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public:
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complex(double r = 0, double i = 0) : c_re(r), c_im(i) {}
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explicit complex(const std::string& s) {
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sscanf(s.c_str(), "(%lf,%lf)", &c_re, &c_im);
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}
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double re() const {
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return c_re;
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}
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double im() const {
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return c_im;
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}
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double abs2() const {
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return c_re * c_re + c_im * c_im;
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}
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double abs() const {
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return sqrt(abs2());
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}
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std::string to_string() const {
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std::stringstream ss;
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ss.precision(10);
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ss << "(" << c_re << "," << c_im << ")";
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return ss.str();
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}
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complex& operator+=(const complex& other) {
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c_re += other.c_re;
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c_im += other.c_im;
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return *this;
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}
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complex& operator-=(const complex& other) {
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c_re -= other.c_re;
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c_im -= other.c_im;
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return *this;
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}
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complex& operator*=(const complex& other) {
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double r = c_re * other.c_re - c_im * other.c_im;
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double i = c_re * other.c_im + c_im * other.c_re;
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c_re = r;
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c_im = i;
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return *this;
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}
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complex& operator/=(const complex& other) {
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double r = (c_re * other.c_re + c_im * other.c_im) / other.abs2();
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double i = (c_im * other.c_re - c_re * other.c_im) / other.abs2();
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c_re = r;
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c_im = i;
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return *this;
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}
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friend complex operator+(const complex& C, const complex& other) {
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return complex(C.c_re + other.c_re, C.c_im + other.c_im);
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}
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friend complex operator-(const complex& C, const complex& other) {
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return complex(C.c_re - other.c_re, C.c_im - other.c_im);
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}
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friend complex operator*(const complex& C, const complex& other) {
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return complex(C.c_re * other.c_re - C.c_im * other.c_im, C.c_re * other.c_im + C.c_im * other.c_re);
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}
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friend complex operator/(const complex& C, const complex& other) {
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double r = (C.c_re * other.c_re + C.c_im * other.c_im) / other.abs2();
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double i = (C.c_im * other.c_re - C.c_re * other.c_im) / other.abs2();
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return complex(r, i);
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}
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};
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complex operator-(const complex& C) {
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return complex(-C.re(), -C.im());
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}
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complex operator~(const complex& C) {
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return complex(C.re(), -C.im());
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}
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} |