Implementation of the Cassowary constraint solving algorithm. Based heavily on cassowary-rs which is based on kiwi.
This library can be used to specify and resolve constraints for user interfaces.
I've ported just enough of the code to support solving constraints. I have not ported support for edit variables or changing constraints. PRs welcome.
$ composer require phptui/cassowary
Given we want to render a layout on a screen with a defined size. The layout have two two sections:
+-------+-------------------+
| A | B |
+-------+-------------------+
We would need to introduce variables for each of the points in sections a
and b
:
0 30
ax1 ax2,bx1 bx2
0 y1 +-------+-------------------+
| | |
2 y2 +-------+-------------------+
And then specify the constraints that must be maintained:
ax1 = 0 // the left-most point is CONSTANT at 0
ax2 >= ax1 // ax2 is REQUIRED to be greater than equal to ax1
ax2 >= ax1 + 10 // ax2 must have a WEAK requirement to be greater than equal to ax1 plus 10
bx1 = ax2 // bx1 and bx2 are REQUIRED to be contiguous
bx2 = 30 // bx2 is REQUIRED be at the right-most point - 30
// etc
There are two interesting things:
- Constraints can relate to each other
- Constraints have a strength which determines which constraint to take into account if there is a conflict.
The constraint solver is able to resolve such constraints into an optimal solution.
Using the above example:
<?php
require __DIR__ . '/vendor/autoload.php';
use PhpTui\Cassowary\AddConstraintaintError;
use PhpTui\Cassowary\Constraint;
use PhpTui\Cassowary\RelationalOperator;
use PhpTui\Cassowary\Solver;
use PhpTui\Cassowary\Strength;
use PhpTui\Cassowary\Variable;
$ax1 = Variable::new();
$ax2 = Variable::new();
$bx1 = Variable::new();
$bx2 = Variable::new();
$y1 = Variable::new();
$y2 = Variable::new();
$s = Solver::new();
$s->addConstraints([
Constraint::equalTo($ax1, 0.0, Strength::REQUIRED),
Constraint::greaterThanOrEqualTo($ax2, $ax1, Strength::REQUIRED),
Constraint::greaterThanOrEqualTo($ax2, $ax1->add(10.0), Strength::WEAK),
Constraint::equalTo($bx1, $ax2, Strength::REQUIRED),
Constraint::equalTo($bx2, 30.0, Strength::REQUIRED),
Constraint::equalTo($y1, 0.0, Strength::REQUIRED),
Constraint::equalTo($y2, 3.0, Strength::REQUIRED),
]);
$changes = $s->fetchChanges();
var_dump($changes->getValue($ax2)); // 10
var_dump($changes->getValue($bx1); // 10
var_dump($changes->getValue($bx2)); // 30
var_dump($changes->getValue($y2)); // 3
Note that
$changes
only contains values that have changed and by default variables start at 0.0. This API is more relevant for when variables can be updated.
I have no idea, but it does! I just ported the code and debugged it with great determination until it worked.
You can read the paper here.