Polynomial C++ template class

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
(https://en.wikipedia.org/wiki/Polynomial)

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Constructors:

explicit Polynomial(T value = T(0));

Polynomial(std::initializer_list<T> init);

template<class InputIt>
Polynomial(InputIt first, InputIt last);

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List of supported operators and functions:

• unary;
• addition;
• substraction;
• multiplication;
• division;
• comparison (equality);
• bitwise (for std::cin and std::cout).

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Usage examples:

Polynomial<double> minuend{ 8.2, -3.1, 15.1, 0, 2.2 };

// subtrahend = x^3 + 15x^2 + 6.1x + 4.2.
Polynomial<double> subtrahend{ 4.2, 6.1, 15.0, 1 };

// Output: 2.2x^4 - x^3 + 0.1x^2 - 9.2x + 4.
std::cout << minuend - subtrahend;

// multiplier = 5x^4 + 4x^3 + 3x^2 + 2x + 1.
Polynomial<int> multiplier{ 1, 2, 3, 4, 5 };

// Output: 25x^4 + 20x^3 + 15x^2 + 10x + 5.
std::cout << 5 * multiplier;

// first = 8.17x^2 - 15.1x + 3.
std::vector<float> firstData = { 3.0, -15.1, 8.17 };
Polynomial<float> first(firstData.cbegin(), firstData.cend());

// second = 8.17x^2 - 15.1x + 2.
std::vector<float> secondData = { 2.0, -15.1, 8.17 };
Polynomial<float> second{ secondData.cbegin(), secondData.cend() };

// Output: true, as expected.
std::cout << std::boolalpha << (first == (second + 1));

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Cloning the repository:

bash> git clone https://github.com/seigtm/Polynomial

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Build requirements:

• cmake to configure the project (minimum required version is 3.5).
• conan to download all application dependencies.
  You can install conan by giving a command to pip:

  bash> pip install --user conan

  To use pip you need to install the python interpreter. I highly recommend to install python3-based versions in order to avoid unexpected results when using conan.

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Configuring and build with conan and cmake:

To install with conan, execute the commands:

bash> cd Polynomial
bash> conan install . -if build --build missing

To build and run the project with cmake, execute:

bash> cd build
bash> cmake ..

To install and run the application, execute:

bash> make
bash> cd bin
bash> ./main