c8_natural

c8::natural

c8::natural is a class designed to represent the natural numbers (zero and all positive whole numbers). Conceptually they behave in a somewhat similar way to unsigned int, but offer unlimited precision.

Constructors

• natural

Construct a natural number.

Destructor

• ~natural

Destroy (and free all resources allocated to) a natural number.

Comparison Operators

• operator ==
• operator !=
• operator >
• operator >=
• operator <
• operator <=

Compare this natural number with another.

Arithmetic Operators

• operator +
• operator -
• operator *
• operator /
• operator %

Perform arithmetic with this number.

Bitwise Operators

• operator <<
• operator >>

Perform bitwise operations on this number.

Assignment Operators

• operator =
• operator +=
• operator -=
• operator *=
• operator /=
• operator %=
• operator <<=
• operator >>=

Perform assignment operations on this number.

Public Member Functions

• auto count_bits() const noexcept -> unsigned int
• auto divide_modulus(natural_digit v) const -> std::pair<natural, natural_digit>
• auto divide_modulus(const natural &v) const -> std::pair<natural, natural>
• auto gcd(const natural &v) const -> natural
• auto to_unsigned_long_long() const -> unsigned long long
• auto is_zero() const noexcept -> bool
• friend auto operator <<(std::ostream &outstr, const natural &v) -> std::ostream &

TBD

Examples

c8::natural allows us to create two large numbers, subtract one from the other, then output the result to std::cout:

c8::natural s0("5872489572457574027439274027101850990940275827586671651690897");
c8::natural s1("842758978027689671615847509102945571507457514754190754");

auto s2 = s0 - s1;

std::cout << s2;