Negation doesn't properly invert matching of patterns

Here's a very simple set of test cases. Based on my understanding of negation, !(<some pattern>) should precisely invert the results of (<some pattern>), i.e. any path that matches the first should not match the second, and vice versa. This is not the case.

const pm = require('picomatch');

function test(matcher, path) {
    const matches = matcher(path) ? '✓' : '✗';
    console.log(`${matches}: ${path}`);
}

const tests = ['foo', 'foo/.bar', '.bar', '.foo/.bar'];

function testGlob(glob) {
    const matcher = pm(glob);
    console.log(glob)
    tests.forEach(t => test(matcher, t));
    console.log('')
}

testGlob('.*')
testGlob('(.*)')
testGlob('!(.*)')

Current output:

.*
✗: foo
✗: foo/.bar
✓: .bar
✗: .foo/.bar

(.*)
✗: foo
✗: foo/.bar
✓: .bar
✗: .foo/.bar

!(.*)
✓: foo
✗: foo/.bar
✗: .bar
✗: .foo/.bar

The first two patterns match correctly, but ! appears to break the behavior of .*

Start by running the supplied JavaScript reproduction through picomatch's public entry point, then trace how negated extglobs are compiled and matched. Add regression coverage for the four listed paths and verify that !(.) is the exact inverse of ..