Move temporary MathUtil wrappers to permanent home in gfx::Transform

ui/gfx/transform.h

 // Copyright (c) 2012 The Chromium Authors. All rights reserved.
 // Use of this source code is governed by a BSD-style license that can be
 // found in the LICENSE file.
 
 #ifndef UI_GFX_TRANSFORM_H_
 #define UI_GFX_TRANSFORM_H_
 
 #include "base/compiler_specific.h"
 #include "third_party/skia/include/utils/SkMatrix44.h"
 #include "ui/base/ui_export.h"
@@ skipping 17 matching lines @@
 
   // Resets this transform to the identity transform.
   void MakeIdentity();
 
   // Applies the current transformation on a rotation and assigns the result
   // to |this|.
   void Rotate(double degree);
 
   // Applies the current transformation on an axis-angle rotation and assigns
   // the result to |this|.
-  void RotateAbout(const Vector3dF& point, double degree);
+  void RotateAbout(const Vector3dF& axis, double degree);
 
   // Applies the current transformation on a scaling and assigns the result
   // to |this|.
   void Scale(double x, double y);
   void Scale3d(double x, double y, double z);
 
   // Applies the current transformation on a translation and assigns the result
   // to |this|.
   void Translate(double x, double y);
   void Translate3d(double x, double y, double z);
@@ skipping 11 matching lines @@
   // (i.e. 'this = this * transform;').
   void PreconcatTransform(const Transform& transform);
 
   // Applies a transformation on the current transformation
   // (i.e. 'this = transform * this;').
   void ConcatTransform(const Transform& transform);
 
   // Returns true if this is the identity matrix.
   bool IsIdentity() const;
 
+  // Returns true if the matrix is either identity or pure translation.
+  bool IsIdentityOrTranslation() const;
+
+  // Returns true if the matrix is has only scaling and translation components.
+  bool IsScaleOrTranslation() const;
+
+  // Returns true if the matrix has any perspective component that would
+  // change the w-component of a homogeneous point.
+  bool HasPerspective() const;
+
   // Returns true if this transform is non-singular.
   bool IsInvertible() const;
 
+  // Returns true if a layer with a forward-facing normal of (0, 0, 1) would
+  // have its back side facing frontwards after applying the transform.
+  bool IsBackFaceVisible() const;
+
   // Inverts the transform which is passed in. Returns true if successful.
   bool GetInverse(Transform* transform) const WARN_UNUSED_RESULT;
 
   // Transposes this transform in place.
   void Transpose();
 
   // Applies the transformation on the point. Returns true if the point is
   // transformed successfully.
   void TransformPoint(Point3F& point) const;
 
@@ skipping 49 matching lines @@
                               Point3F& point) const;
 
   SkMatrix44 matrix_;
 
   // copy/assign are allowed.
 };
 
 }  // namespace gfx
 
 #endif  // UI_GFX_TRANSFORM_H_