Apfloat

Apfloat is an arbitrary precision number library which supports numbers with any values and many operations with them.

Installation

pip install Apfloat

Usage

To use the library install it using the command shown in "Installation" section. Then, read the instructions below regarding how to use operations with Apfloat.

Addition

Addition of Apfloat objects can be implemented using the '+' operator.

Input: Apfloat("5.12") + Apfloat("6.13") Output: Apfloat("11.25")

Subtraction

Subtraction of Apfloat objects can be implemented using the '-' operator.

Input: Apfloat("7.22") - Apfloat("6.13") Output: Apfloat("1.09")

Multiplication

Multiplication of Apfloat objects can be implemented using the '*' operator.

Input: Apfloat("5") * Apfloat("3") Output: Apfloat("15")

Division

Division of Apfloat objects can be implemented using the '/' operator.

Input: Apfloat("5") / Apfloat("2") Output: Apfloat("2.5")

Integer Division

Integer Division of Apfloat objects can be implemented using the '/' operator.

Input: Apfloat("5") // Apfloat("2") Output: Apfloat("2")

Power

Power of Apfloat objects can be implemented using the '**' operator.

Input: Apfloat("5") ** Apfloat("2") Output: Apfloat("25")

Modulo

Modulo of Apfloat objects can be implemented using the '%' operator.

Input: Apfloat("5") % Apfloat("2") Output: Apfloat("1")

Convert to Integer

Input: int(Apfloat("5.33")) Output: 5

Convert to Float

Input: float(Apfloat("5.00")) Output: ~5.00

Convert to mpf

Input: mpf(Apfloat("5.00")) Output: mpf("5.00")

Square

Input: Apfloat("3").squared() Output: Apfloat("9")

Cube

Input: Apfloat("3").cubed() Output: Apfloat("27")

Trigonometric Functions

sin, cos, tan, cosec, sec, and cot are usable trigonometric functions. They are called using the code with the format {trigonometric function name}(a big number object). For example, sin(Apfloat("0.5")) to get the value of sin(0.5).

Hyperbolic Functions

sinh, cosh, tanh, cosech, sech, and coth are usable hyperbolic functions. They are called using the code with the format {hyperbolic function name}(a big number object). For example, sinh(Apfloat("0.5")) to get the value of sinh(0.5).

Factorial

The function factorial(apfloat: Apfloat) will quickly get the factorial of any number.

Input: factorial(Apfloat("6")) Output: Apfloat("720")

Logarithms

The logarithm of any number using any base can be quickly achieved by using the function log_base(apfloat: MPComplex, base: MPComplex or mpf or float or int) where apfloat is an MPComplex object and base is the base used for the logarithm operation.

Square Root

sqrt(apfloat: Apfloat) gets the square root of any number.

Input: sqrt(Apfloat("81")) Output: Apfloat("9")

Cube Root

cbrt(apfloat: Apfloat) gets the cube root of any number.

Input: cbrt(Apfloat("27")) Output: Apfloat("3")

Checking for Prime Numbers

is_prime(apfloat: Apfloat) checks whether a number is prime or not.

Input: is_prime(Apfloat("7")) Output: True

Getting GCD of Two Numbers

gcd(a: Apfloat, b: Apfloat) gets the GCD of numbers a and b.

Input: gcd(Apfloat("12"), Apfloat("8")) Output: Apfloat("4")

Getting LCM of Two Numbers

lcm(a: Apfloat, b: Apfloat) gets the LCM of numbers a and b.

Input: lcm(Apfloat("6"), Apfloat("8")) Output: Apfloat("24")