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Enforce triangular matrix form in tri_inv
(#1876)
* fix tri_inv bug
* Revert "fix tri_inv bug"
This reverts commit b74b290201
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* Make sure that tri_inv returns a triangular matrix
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Co-authored-by: Angelos Katharopoulos <a_katharopoulos@apple.com>
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@ -81,7 +81,22 @@ void general_inv(array& inv, int N, int i) {
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void tri_inv(array& inv, int N, int i, bool upper) {
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const char uplo = upper ? 'L' : 'U';
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const char diag = 'N';
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int info = strtri_wrapper(uplo, diag, inv.data<float>() + N * N * i, N);
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float* data = inv.data<float>() + N * N * i;
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int info = strtri_wrapper(uplo, diag, data, N);
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// zero out the other triangle
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if (upper) {
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for (int i = 0; i < N; i++) {
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std::fill(data, data + i, 0.0f);
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data += N;
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}
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} else {
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for (int i = 0; i < N; i++) {
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std::fill(data + i + 1, data + N, 0.0f);
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data += N;
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}
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}
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if (info != 0) {
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std::stringstream ss;
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ss << "inverse_impl: triangular inversion failed with error code " << info;
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@ -175,6 +175,13 @@ class TestLinalg(mlx_tests.MLXTestCase):
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mx.allclose(M @ M_inv, mx.eye(M.shape[0]), rtol=0, atol=1e-5)
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)
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# Ensure that tri_inv will 0-out the supposedly 0 triangle
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x = mx.random.normal((2, 8, 8))
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y1 = mx.linalg.tri_inv(x, upper=True, stream=mx.cpu)
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y2 = mx.linalg.tri_inv(x, upper=False, stream=mx.cpu)
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self.assertTrue(mx.all(y1 == mx.triu(y1)))
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self.assertTrue(mx.all(y2 == mx.tril(y2)))
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def test_cholesky(self):
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sqrtA = mx.array(
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[[1.0, 2.0, 3.0], [4.0, 5.0, 6.0], [7.0, 8.0, 9.0]], dtype=mx.float32
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