baseconvert 1.0.2

Convert any rational number from any (positive integer) base to any (positive integer) base. Output numbers as List or String.

baseconvert

Convert any rational number, from any (positive integer) base, to any (positive integer) base. Output numbers as tuple or string.

• Any rational number
• Arbitrary precision
• Fractions
• Recurring/repeating fractional digits.
• Input numbers as tuple or string or number.
• Output numbers as tuple or string.

MIT License (MIT) Copyright (c) 2020 Alex Collette

Github

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This repository is a port of Joshua Deakin's baseconvert library for Python.

• His original repository can be found Here

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Usage

// base(number, {inBase=10, outBase=10, maxDepth=10, string=false, recurring=true})

base([15, 15, 0, ".", 8], inBase: 16, outBase: 10);
--> [4, 0, 8, 0, '.', 5]

base("FF0.8", inBase: 16, outBase: 10, string: true);
--> '4080.5'

base("4080.5", inBase: 10, outBase: 16, string: true);
--> 'FF0.8'

List Representation

Numbers are represented as a sequence of digits. Each digit is a base-10 integer value. The radix point, which separates the integer and fractional parts, is denoted by a String period.

[int, int, int, ... , '.', ... , int, int, int]
[   integer part    , '.',  fractional part   ]

String Representation

String digits (after z the values are in ascending Unicode):

|  Value  | Representation |
|---------|----------------|
|  0 -  9 |    0  -  9     |
| 10 - 53 |    A  -  Z     |
| 36 - 61 |    a  -  z     |
| 62 +    | unicode 123 +  |

For bases higher than 61 it's recommended to use List representation.

Recurring Digits

Recurring digits at the end of a fractional part will be enclosed by "[" and "]" in both string and List representation. This behavior can be turned off by setting the recurring argument of base or BaseConverter object to false.

base("0.1", inBase: 3, outBase: 10, string: true);
--> '0.[3]'
base("0.1", inBase: 3, outBase: 10, string: true, recurring: false);
--> '0.3333333333'

Max Fractional Depth

Integer parts are always of arbitrary size. Fractional depth (number of digits) can must be specified by setting the maxDepth argument of base or a BaseConverter object (default 10).

base("0.2", inBase: 10, outBase: 8);
--> [0, '.', 1, 4, 6, 3, 1, 4, 6, 3, 1, 4]
base("0.2", inBase: 10, outBase: 8, maxDepth=1);
--> [0, '.', 1]

Callable BaseConverter

An object can also be created. This is useful for when several numbers need to be converted.

BaseConverter b = BaseConverter(inBase: 16, outBase: 8);
b.convert("FF");
--> [3, 7, 7]
b.convert([15, 15]);
--> [3, 7, 7]
b.convert("FF") == b([15,15]);
--> true