Real

Real provides an object with properties and methods for mathematical constants and functions (similar to Math) that works with Number and BigInt as well as two additional classes (Rational and Irrational).

Usage

import * as RealMath from '@hypercubed/real';

RealMath provides several math functions that work with Number and BigInt. These two types, however, are not sufficient in many cases. @hypercubed/real provides two additional classes that represent broader numeric types:

• Rational - any number that can be expressed as the quotient (or fraction) of two integers (BigInt) (p/q)
• Irrational - an approximation of a number expressed in scientific notation (m x 10 ^ n)

When using the RealMath functions, values are converted, as necessary, for the given function. Implict conversions are as follows:

• BigInt -> Rational
• Number -> Irrational
• Rational -> Irrational

For example, when using the div method, dividing two BigInt values would result in loss of precision... therefore, before the division operation BigInt values are converted to Rational values. Similarly, Number values are converted to Irrational values. If the division operation includes any Irrational values, Rational values are converted to Irrational values.

See this examples:

import * as RealMath from '@hypercubed/real';

RealMath.div(1n, 3n),toString(); // 1/3`
RealMath.div(1n, 3),toString();  // 3.3333333333333333333e-1

RealMath.div(1n, new Rational(3n)),toString();       // 1/3`
RealMath.div(1n, new Irrational(3n)),toString();     // 3.3333333333333333333e-1

Methods

• abs - Returns the absolute value of a number.
• trunc - Returns the integer part of the number x, removing any fractional digits.
• ceil - Returns the smallest integer greater than or equal to a number.
• floor - Returns the largest integer less than or equal to a number.
• add - adds two values
• sub - subtracts two values
• mul - multiplies two values
• div - divies two values
• inv - inverts a value
• ln - Returns the natural logarithm (log_e) of a number

License

This project is licensed under the MIT License