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path: root/tests/math.spec.ts
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import { test, expect } from '@playwright/test';

test('work equations typeset vector arrows and integral limits with accessible math', async ({ page }) => {
  await page.goto('/#test-work');
  const equations = page.locator('#equations');
  await expect(equations.locator('.katex')).toHaveCount(2);
  await expect(equations.locator('math')).toHaveCount(2);
  await expect(equations.locator('math msubsup').first()).toBeAttached();
  await expect(equations.locator('math mover').first()).toBeAttached();
  await expect(page.locator('label[for="parameter-q0"] .katex')).toBeVisible();
  await expect(page.getByRole('slider', { name: 'Moving charge q₀', exact: true })).toBeVisible();
  await page.locator('#solution summary').click();
  await expect(page.locator('.math-step .katex')).toHaveCount(3);
  await expect(page.locator('.katex-error')).toHaveCount(0);
});

test('every lesson summary and derivation renders without math parsing errors', async ({ page }) => {
  const errors: string[] = [];
  page.on('pageerror', error => errors.push(error.message));
  for (const id of ['test-work', 'test-conservation', 'test-central', 'test-assembly', 'test-uniform', 'test-dipole', 'field', 'flux', 'energy', 'potential', 'capacitance', 'dielectric', 'current', 'semiconductor']) {
    await page.goto(`/#${id}`);
    await expect(page.locator('#equations .katex').first()).toBeVisible();
    expect(await page.locator('#equations .katex').count()).toBe(await page.locator('#equations > p').count());
    if (id.startsWith('test-')) {
      await page.locator('#solution details').evaluateAll(details => details.forEach(detail => detail.setAttribute('open', '')));
      expect(await page.locator('.math-step .katex').count()).toBe(await page.locator('.math-step').count());
    }
    await expect(page.locator('.katex-error')).toHaveCount(0);
  }
  await page.goto('/#test-dipole');
  await expect(page.locator('#test-question .katex').first()).toBeVisible();
  await expect(page.locator('#explanation .katex').first()).toBeVisible();
  expect(errors).toEqual([]);
});

test('long formulas stay contained and usable on a narrow screen', async ({ page }) => {
  await page.setViewportSize({ width: 390, height: 844 });
  await page.goto('/#test-assembly');
  await page.locator('#solution summary').first().click();
  await expect(page.locator('#equations .katex').first()).toBeVisible();
  expect(await page.evaluate(() => document.documentElement.scrollWidth <= innerWidth)).toBe(true);
  const equation = page.locator('#equations > p').first();
  const layout = await equation.evaluate(element => {
    const style = getComputedStyle(element);
    return { overflow: style.overflowX, width: element.getBoundingClientRect().width, available: element.parentElement!.getBoundingClientRect().width };
  });
  expect(layout.width).toBeLessThanOrEqual(layout.available);
  expect(layout.overflow).toBe('auto');
});

test('3D mathematical annotations track the scene and are removed when switching lessons', async ({ page }) => {
  await page.goto('/#test-dipole');
  const labels = page.locator('#viewport .scene-math-label');
  await expect(labels.locator('math mfrac').first()).toBeAttached();
  await expect(labels.filter({ hasText: 'cos' }).first()).toBeVisible();
  const before = await labels.count();
  await page.getByRole('slider', { name: 'Final angle θᵦ', exact: true }).fill('180');
  await expect(labels).toHaveCount(before);
  await page.getByRole('tab', { name: /Work & paths/ }).click();
  await expect(labels.filter({ hasText: 'cos' })).toHaveCount(0);
  await expect(labels.locator('.katex').first()).toBeVisible();
  await expect(page.locator('#viewport .katex-error')).toHaveCount(0);
  // Labels are an overlay; orbiting the underlying canvas remains possible.
  expect(await page.locator('.scene-labels').evaluate(el => getComputedStyle(el).pointerEvents)).toBe('none');
});