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Informations about the package interval
Interval Library
A PHP library for working with mathematical intervals. It provides an elegant way to create, compare, and work with intervals using standard mathematical notation.
Installation
Install the package via Composer:
Requirements
- PHP 8.3 or higher
Usage
Creating Intervals
You can create intervals from string notation:
Interval Notation
The library supports four types of interval notation:
[a,b]- Closed interval: includes both endpointsaandb. Example:[1,5]includes all numbers from 1 to 5, including 1 and 5.(a,b)- Open interval: excludes both endpointsaandb. Example:(1,5)includes all numbers greater than 1 and less than 5, but not 1 or 5 themselves.[a,b)- Right-open interval: includesabut notb. Example:[1,5)includes 1 and all values up to (but not including) 5.(a,b]- Left-open interval: excludesabut includesb. Example:(1,5]includes all values greater than 1 up to and including 5.
The inclusion or exclusion of the endpoints determines how comparisons behave. For example, if an interval is (1,5), calling $interval->isGreaterThan(1) will return true because 1 is not part of the interval. However, if the interval is [1,5], then $interval->isGreaterThanOrEqualTo(1) will return true since 1 is included.
Understanding this notation is crucial for interpreting comparison behavior correctly.
The library also supports unbounded intervals using empty endpoints. These are interpreted as extending to infinity:
[a,)- Left-bounded interval: includesaand extends infinitely to the right.(,b]- Right-bounded interval: includesband extends infinitely to the left.(,)- Fully unbounded interval: represents all real numbers.
Internally, unbounded sides are represented using PHP_INT_MIN or PHP_INT_MAX.
Interval Comparisons
Comparisons such as $interval->isGreaterThan($value) evaluate whether all values within the interval are greater than the given value. So [2,5] is greater than 1 (because every number from 2 to 5 is greater than 1), but not greater than 2 unless the interval is open on the left side (e.g., (2,5)).
Similarly, $interval->isLessThan($value) checks whether all values in the interval are less than the given value. (1,5) is less than 6, but not less than 5 unless the interval excludes 5 (e.g., (1,5) or [1,5).
This logic allows for precise control over numeric comparisons, especially when you want to reason about bounds inclusivity.
Testing
Run the test suite:
This includes:
- Static analysis (
composer test:types) - Unit tests with coverage (
composer test:unit) - Mutation testing (
composer test:infection)
License
MIT
About
This package is developed and maintained by Superscript.
