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non square qr (#1783)

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Awni Hannun
2025-01-21 14:07:47 -08:00
committed by GitHub
parent 1f4c127fb9
commit e6a7ab9675
3 changed files with 37 additions and 15 deletions
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15
python/tests/test_linalg.py
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@@ -103,7 +103,7 @@ class TestLinalg(mlx_tests.MLXTestCase):
Q, R = mx.linalg.qr(A, stream=mx.cpu)
out = Q @ R
self.assertTrue(mx.allclose(out, A))
out = Q @ Q
out = Q.T @ Q
self.assertTrue(mx.allclose(out, mx.eye(2), rtol=1e-5, atol=1e-7))
self.assertTrue(mx.allclose(mx.tril(R, -1), mx.zeros_like(R)))
self.assertEqual(Q.dtype, mx.float32)
@@ -116,10 +116,21 @@ class TestLinalg(mlx_tests.MLXTestCase):
for a, q, r in zip(A, Q, R):
out = q @ r
self.assertTrue(mx.allclose(out, a))
out = q @ q
out = q.T @ q
self.assertTrue(mx.allclose(out, mx.eye(2), rtol=1e-5, atol=1e-7))
self.assertTrue(mx.allclose(mx.tril(r, -1), mx.zeros_like(r)))
# Non square matrices
for shape in [(4, 8), (8, 4)]:
A = mx.random.uniform(shape=shape)
Q, R = mx.linalg.qr(A, stream=mx.cpu)
out = Q @ R
self.assertTrue(mx.allclose(out, A, rtol=1e-4, atol=1e-6))
out = Q.T @ Q
self.assertTrue(
mx.allclose(out, mx.eye(min(A.shape)), rtol=1e-4, atol=1e-6)
)
def test_svd_decomposition(self):
A = mx.array([[1, 2, 3], [4, 5, 6], [7, 8, 9], [10, 11, 12]], dtype=mx.float32)
U, S, Vt = mx.linalg.svd(A, stream=mx.cpu)