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-rw-r--r--gfx/2d/Quaternion.cpp57
1 files changed, 57 insertions, 0 deletions
diff --git a/gfx/2d/Quaternion.cpp b/gfx/2d/Quaternion.cpp
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+++ b/gfx/2d/Quaternion.cpp
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+/* -*- Mode: C++; tab-width: 20; indent-tabs-mode: nil; c-basic-offset: 2 -*-
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
+
+#include "Quaternion.h"
+#include "Matrix.h"
+#include "Tools.h"
+#include <algorithm>
+#include <ostream>
+#include <math.h>
+
+using namespace std;
+
+namespace mozilla {
+namespace gfx {
+
+std::ostream&
+operator<<(std::ostream& aStream, const Quaternion& aQuat)
+{
+ return aStream << "< " << aQuat.x << " " << aQuat.y << " " << aQuat.z << " " << aQuat.w << ">";
+}
+
+void
+Quaternion::SetFromRotationMatrix(const Matrix4x4& m)
+{
+ // see http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToQuaternion/index.htm
+ const Float trace = m._11 + m._22 + m._33;
+ if (trace > 0.0) {
+ const Float s = 0.5f / sqrt(trace + 1.0f);
+ w = 0.25f / s;
+ x = (m._32 - m._23) * s;
+ y = (m._13 - m._31) * s;
+ z = (m._21 - m._12) * s;
+ } else if (m._11 > m._22 && m._11 > m._33) {
+ const Float s = 2.0f * sqrt(1.0f + m._11 - m._22 - m._33);
+ w = (m._32 - m._23) / s;
+ x = 0.25f * s;
+ y = (m._12 + m._21) / s;
+ z = (m._13 + m._31) / s;
+ } else if (m._22 > m._33) {
+ const Float s = 2.0 * sqrt(1.0f + m._22 - m._11 - m._33);
+ w = (m._13 - m._31) / s;
+ x = (m._12 + m._21) / s;
+ y = 0.25f * s;
+ z = (m._23 + m._32) / s;
+ } else {
+ const Float s = 2.0 * sqrt(1.0f + m._33 - m._11 - m._22);
+ w = (m._21 - m._12) / s;
+ x = (m._13 + m._31) / s;
+ y = (m._23 + m._32) / s;
+ z = 0.25f * s;
+ }
+}
+
+} // namespace gfx
+} // namespace mozilla