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IlyaShurupov 2023-10-22 17:07:28 +03:00 • committed by Ilya Shurupov
parent b4ae5dde77
commit 91fb72bd49
928 changed files with 14515 additions and 21479 deletions
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114
Math/public/ComplexNumbers.hpp
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@ -1,57 +1,57 @@
#pragma once
#include "MathCommon.hpp"
namespace tp {
struct ComplexCart {
typedef alnf Number;
Number r = 0;
Number i = 0;
public:
[[nodiscard]] ComplexCart operator*(const ComplexCart& in) const { return {in.r * r - in.i * i, in.r * i + in.i * r}; }
[[nodiscard]] ComplexCart operator*(Number in) const { return {in * r, in * i}; }
[[nodiscard]] ComplexCart operator+(const ComplexCart& in) const { return {in.r + r, in.i + i}; }
[[nodiscard]] ComplexCart operator-(const ComplexCart& in) const { return {in.r - r, in.i - i}; }
[[nodiscard]] Number mod() const { return tp::sqrt(i * i + r * r); }
[[nodiscard]] Number arg() const { return atan2(r, i); }
[[nodiscard]] Number norm2() const { return this->operator*(conjugate()).r; }
[[nodiscard]] ComplexCart reciprocal() const { return {r / norm2(), -i / norm2()}; }
void set(Number mod, Number arg) {
r = mod * cos(arg);
i = mod * sin(arg);
}
bool operator==(const ComplexCart& in) const { return in.r == r && in.i == i; }
[[nodiscard]] ComplexCart conjugate() const { return {r, -i}; }
};
struct ComplexRad {
typedef alnf Number;
Number r = 0;
Number a = 0;
public:
[[nodiscard]] ComplexRad operator*(const ComplexRad& in) const { return {r * in.r, a + in.a}; }
[[nodiscard]] ComplexRad operator*(Number in) const { return {r * in, a}; }
[[nodiscard]] ComplexCart cart() const {
ComplexCart out;
out.set(r, a);
return out;
}
bool operator==(const ComplexRad& in) const { return in.r == r && in.a == a; }
};
}
#pragma once
#include "MathCommon.hpp"
namespace tp {
struct ComplexCart {
typedef alnf Number;
Number r = 0;
Number i = 0;
public:
[[nodiscard]] ComplexCart operator*(const ComplexCart& in) const { return { in.r * r - in.i * i, in.r * i + in.i * r }; }
[[nodiscard]] ComplexCart operator*(Number in) const { return { in * r, in * i }; }
[[nodiscard]] ComplexCart operator+(const ComplexCart& in) const { return { in.r + r, in.i + i }; }
[[nodiscard]] ComplexCart operator-(const ComplexCart& in) const { return { in.r - r, in.i - i }; }
[[nodiscard]] Number mod() const { return tp::sqrt(i * i + r * r); }
[[nodiscard]] Number arg() const { return atan2(r, i); }
[[nodiscard]] Number norm2() const { return this->operator*(conjugate()).r; }
[[nodiscard]] ComplexCart reciprocal() const { return { r / norm2(), -i / norm2() }; }
void set(Number mod, Number arg) {
r = mod * cos(arg);
i = mod * sin(arg);
}
bool operator==(const ComplexCart& in) const { return in.r == r && in.i == i; }
[[nodiscard]] ComplexCart conjugate() const { return { r, -i }; }
};
struct ComplexRad {
typedef alnf Number;
Number r = 0;
Number a = 0;
public:
[[nodiscard]] ComplexRad operator*(const ComplexRad& in) const { return { r * in.r, a + in.a }; }
[[nodiscard]] ComplexRad operator*(Number in) const { return { r * in, a }; }
[[nodiscard]] ComplexCart cart() const {
ComplexCart out;
out.set(r, a);
return out;
}
bool operator==(const ComplexRad& in) const { return in.r == r && in.a == a; }
};
}