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Source/Engine/Core/Math/Math.cpp

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+// Copyright (c) 2012-2020 Wojciech Figat. All rights reserved.
+
+#include "Math.h"
+#include "Vector3.h"
+
+Vector3 Math::RotateAboutAxis(const Vector3& normalizedRotationAxis, float angle, const Vector3& positionOnAxis, const Vector3& position)
+{
+    // Project position onto the rotation axis and find the closest point on the axis to Position
+    const Vector3 closestPointOnAxis = positionOnAxis + normalizedRotationAxis * Vector3::Dot(normalizedRotationAxis, position - positionOnAxis);
+
+    // Construct orthogonal axes in the plane of the rotation
+    const Vector3 axisU = position - closestPointOnAxis;
+    const Vector3 axisV = Vector3::Cross(normalizedRotationAxis, axisU);
+    float cosAngle, sinAngle;
+    Math::SinCos(angle, sinAngle, cosAngle);
+
+    // Rotate using the orthogonal axes
+    const Vector3 rotation = axisU * cosAngle + axisV * sinAngle;
+
+    // Reconstruct the rotated world space position
+    const Vector3 rotatedPosition = closestPointOnAxis + rotation;
+
+    // Convert from position to a position offset
+    return rotatedPosition - position;
+}
+
+Vector3 Math::ExtractLargestComponent(const Vector3& v)
+{
+    const Vector3 a = v.GetAbsolute();
+
+    if (a.X > a.Y)
+    {
+        if (a.X > a.Z)
+        {
+            return Vector3(v.X > 0.0f ? 1.0f : -1.0f, 0.0f, 0.0f);
+        }
+    }
+    else
+    {
+        if (a.Y > a.Z)
+        {
+            return Vector3(0.0f, v.Y > 0.0f ? 1.0f : -1.0f, 0.0f);
+        }
+    }
+
+    return Vector3(0.0f, 0.0f, v.Z > 0 ? 1.0f : -1.0f);
+}