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diff --git a/third_party/jpeg-xl/lib/jxl/enc_linalg.cc b/third_party/jpeg-xl/lib/jxl/enc_linalg.cc
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+// Copyright (c) the JPEG XL Project Authors. All rights reserved.
+//
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+#include "lib/jxl/enc_linalg.h"
+
+#include <cmath>
+
+#include "lib/jxl/base/compiler_specific.h"
+#include "lib/jxl/base/status.h"
+
+namespace jxl {
+
+void ConvertToDiagonal(const ImageD& A, ImageD* const JXL_RESTRICT diag,
+ ImageD* const JXL_RESTRICT U) {
+#if JXL_ENABLE_ASSERT
+ JXL_ASSERT(A.xsize() == 2);
+ JXL_ASSERT(A.ysize() == 2);
+ JXL_ASSERT(std::abs(A.Row(0)[1] - A.Row(1)[0]) < 1e-15);
+#endif
+
+ if (std::abs(A.ConstRow(0)[1]) < 1e-15) {
+ // Already diagonal.
+ diag->Row(0)[0] = A.ConstRow(0)[0];
+ diag->Row(0)[1] = A.ConstRow(1)[1];
+ U->Row(0)[0] = U->Row(1)[1] = 1.0;
+ U->Row(0)[1] = U->Row(1)[0] = 0.0;
+ return;
+ }
+ double b = -(A.Row(0)[0] + A.Row(1)[1]);
+ double c = A.Row(0)[0] * A.Row(1)[1] - A.Row(0)[1] * A.Row(0)[1];
+ double d = b * b - 4.0 * c;
+ double sqd = std::sqrt(d);
+ double l1 = (-b - sqd) * 0.5;
+ double l2 = (-b + sqd) * 0.5;
+
+ double v1[2] = {A.Row(0)[0] - l1, A.Row(1)[0]};
+ double v1n = 1.0 / std::hypot(v1[0], v1[1]);
+ v1[0] = v1[0] * v1n;
+ v1[1] = v1[1] * v1n;
+
+ diag->Row(0)[0] = l1;
+ diag->Row(0)[1] = l2;
+
+ U->Row(0)[0] = v1[1];
+ U->Row(0)[1] = -v1[0];
+ U->Row(1)[0] = v1[0];
+ U->Row(1)[1] = v1[1];
+}
+
+} // namespace jxl