Index: cc/base/math_util.h |
diff --git a/cc/base/math_util.h b/cc/base/math_util.h |
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+// Copyright 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 CC_BASE_MATH_UTIL_H_ |
+#define CC_BASE_MATH_UTIL_H_ |
+ |
+#include <algorithm> |
+#include <cmath> |
+#include <vector> |
+ |
+#include "base/logging.h" |
+#include "base/memory/scoped_ptr.h" |
+#include "ui/gfx/geometry/box_f.h" |
+#include "ui/gfx/geometry/point3_f.h" |
+#include "ui/gfx/geometry/point_f.h" |
+#include "ui/gfx/geometry/scroll_offset.h" |
+#include "ui/gfx/geometry/size.h" |
+#include "ui/gfx/transform.h" |
+ |
+namespace base { |
+class Value; |
+namespace trace_event { |
+class TracedValue; |
+} |
+} // namespace base |
+ |
+namespace gfx { |
+class QuadF; |
+class Rect; |
+class RectF; |
+class Transform; |
+class Vector2dF; |
+class Vector2d; |
+} |
+ |
+namespace cc { |
+ |
+struct HomogeneousCoordinate { |
+ HomogeneousCoordinate(SkMScalar x, SkMScalar y, SkMScalar z, SkMScalar w) { |
+ vec[0] = x; |
+ vec[1] = y; |
+ vec[2] = z; |
+ vec[3] = w; |
+ } |
+ |
+ bool ShouldBeClipped() const { return w() <= 0.0; } |
+ |
+ gfx::PointF CartesianPoint2d() const { |
+ if (w() == SK_MScalar1) |
+ return gfx::PointF(x(), y()); |
+ |
+ // For now, because this code is used privately only by MathUtil, it should |
+ // never be called when w == 0, and we do not yet need to handle that case. |
+ DCHECK(w()); |
+ SkMScalar inv_w = SK_MScalar1 / w(); |
+ return gfx::PointF(x() * inv_w, y() * inv_w); |
+ } |
+ |
+ gfx::Point3F CartesianPoint3d() const { |
+ if (w() == SK_MScalar1) |
+ return gfx::Point3F(x(), y(), z()); |
+ |
+ // For now, because this code is used privately only by MathUtil, it should |
+ // never be called when w == 0, and we do not yet need to handle that case. |
+ DCHECK(w()); |
+ SkMScalar inv_w = SK_MScalar1 / w(); |
+ return gfx::Point3F(x() * inv_w, y() * inv_w, z() * inv_w); |
+ } |
+ |
+ SkMScalar x() const { return vec[0]; } |
+ SkMScalar y() const { return vec[1]; } |
+ SkMScalar z() const { return vec[2]; } |
+ SkMScalar w() const { return vec[3]; } |
+ |
+ SkMScalar vec[4]; |
+}; |
+ |
+class MathUtil { |
+ public: |
+ static const double kPiDouble; |
+ static const float kPiFloat; |
+ |
+ static double Deg2Rad(double deg) { return deg * kPiDouble / 180.0; } |
+ static double Rad2Deg(double rad) { return rad * 180.0 / kPiDouble; } |
+ |
+ static float Deg2Rad(float deg) { return deg * kPiFloat / 180.0f; } |
+ static float Rad2Deg(float rad) { return rad * 180.0f / kPiFloat; } |
+ |
+ static float Round(float f) { |
+ return (f > 0.f) ? std::floor(f + 0.5f) : std::ceil(f - 0.5f); |
+ } |
+ static double Round(double d) { |
+ return (d > 0.0) ? std::floor(d + 0.5) : std::ceil(d - 0.5); |
+ } |
+ |
+ template <typename T> static T ClampToRange(T value, T min, T max) { |
+ return std::min(std::max(value, min), max); |
+ } |
+ |
+ // Background: Existing transform code does not do the right thing in |
+ // MapRect / MapQuad / ProjectQuad when there is a perspective projection that |
+ // causes one of the transformed vertices to go to w < 0. In those cases, it |
+ // is necessary to perform clipping in homogeneous coordinates, after applying |
+ // the transform, before dividing-by-w to convert to cartesian coordinates. |
+ // |
+ // These functions return the axis-aligned rect that encloses the correctly |
+ // clipped, transformed polygon. |
+ static gfx::Rect MapEnclosingClippedRect(const gfx::Transform& transform, |
+ const gfx::Rect& rect); |
+ static gfx::RectF MapClippedRect(const gfx::Transform& transform, |
+ const gfx::RectF& rect); |
+ static gfx::Rect ProjectEnclosingClippedRect(const gfx::Transform& transform, |
+ const gfx::Rect& rect); |
+ static gfx::RectF ProjectClippedRect(const gfx::Transform& transform, |
+ const gfx::RectF& rect); |
+ |
+ // This function is only valid when the transform preserves 2d axis |
+ // alignment and the resulting rect will not be clipped. |
+ static gfx::Rect MapEnclosedRectWith2dAxisAlignedTransform( |
+ const gfx::Transform& transform, |
+ const gfx::Rect& rect); |
+ |
+ // Returns an array of vertices that represent the clipped polygon. After |
+ // returning, indexes from 0 to num_vertices_in_clipped_quad are valid in the |
+ // clipped_quad array. Note that num_vertices_in_clipped_quad may be zero, |
+ // which means the entire quad was clipped, and none of the vertices in the |
+ // array are valid. |
+ static void MapClippedQuad(const gfx::Transform& transform, |
+ const gfx::QuadF& src_quad, |
+ gfx::PointF clipped_quad[8], |
+ int* num_vertices_in_clipped_quad); |
+ static bool MapClippedQuad3d(const gfx::Transform& transform, |
+ const gfx::QuadF& src_quad, |
+ gfx::Point3F clipped_quad[8], |
+ int* num_vertices_in_clipped_quad); |
+ |
+ static gfx::RectF ComputeEnclosingRectOfVertices(const gfx::PointF vertices[], |
+ int num_vertices); |
+ static gfx::RectF ComputeEnclosingClippedRect( |
+ const HomogeneousCoordinate& h1, |
+ const HomogeneousCoordinate& h2, |
+ const HomogeneousCoordinate& h3, |
+ const HomogeneousCoordinate& h4); |
+ |
+ // NOTE: These functions do not do correct clipping against w = 0 plane, but |
+ // they correctly detect the clipped condition via the boolean clipped. |
+ static gfx::QuadF MapQuad(const gfx::Transform& transform, |
+ const gfx::QuadF& quad, |
+ bool* clipped); |
+ static gfx::QuadF MapQuad3d(const gfx::Transform& transform, |
+ const gfx::QuadF& q, |
+ gfx::Point3F* p, |
+ bool* clipped); |
+ static gfx::PointF MapPoint(const gfx::Transform& transform, |
+ const gfx::PointF& point, |
+ bool* clipped); |
+ static gfx::Point3F MapPoint(const gfx::Transform&, |
+ const gfx::Point3F&, |
+ bool* clipped); |
+ static gfx::QuadF ProjectQuad(const gfx::Transform& transform, |
+ const gfx::QuadF& quad, |
+ bool* clipped); |
+ static gfx::PointF ProjectPoint(const gfx::Transform& transform, |
+ const gfx::PointF& point, |
+ bool* clipped); |
+ // Identical to the above function, but coerces the homogeneous coordinate to |
+ // a 3d rather than a 2d point. |
+ static gfx::Point3F ProjectPoint3D(const gfx::Transform& transform, |
+ const gfx::PointF& point, |
+ bool* clipped); |
+ |
+ static gfx::Vector2dF ComputeTransform2dScaleComponents(const gfx::Transform&, |
+ float fallbackValue); |
+ |
+ // Makes a rect that has the same relationship to input_outer_rect as |
+ // scale_inner_rect has to scale_outer_rect. scale_inner_rect should be |
+ // contained within scale_outer_rect, and likewise the rectangle that is |
+ // returned will be within input_outer_rect at a similar relative, scaled |
+ // position. |
+ static gfx::RectF ScaleRectProportional(const gfx::RectF& input_outer_rect, |
+ const gfx::RectF& scale_outer_rect, |
+ const gfx::RectF& scale_inner_rect); |
+ |
+ // Returns the smallest angle between the given two vectors in degrees. |
+ // Neither vector is assumed to be normalized. |
+ static float SmallestAngleBetweenVectors(const gfx::Vector2dF& v1, |
+ const gfx::Vector2dF& v2); |
+ |
+ // Projects the |source| vector onto |destination|. Neither vector is assumed |
+ // to be normalized. |
+ static gfx::Vector2dF ProjectVector(const gfx::Vector2dF& source, |
+ const gfx::Vector2dF& destination); |
+ |
+ // Conversion to value. |
+ static scoped_ptr<base::Value> AsValue(const gfx::Size& s); |
+ static scoped_ptr<base::Value> AsValue(const gfx::Rect& r); |
+ static bool FromValue(const base::Value*, gfx::Rect* out_rect); |
+ static scoped_ptr<base::Value> AsValue(const gfx::PointF& q); |
+ |
+ static void AddToTracedValue(const char* name, |
+ const gfx::Size& s, |
+ base::trace_event::TracedValue* res); |
+ static void AddToTracedValue(const char* name, |
+ const gfx::SizeF& s, |
+ base::trace_event::TracedValue* res); |
+ static void AddToTracedValue(const char* name, |
+ const gfx::Rect& r, |
+ base::trace_event::TracedValue* res); |
+ static void AddToTracedValue(const char* name, |
+ const gfx::PointF& q, |
+ base::trace_event::TracedValue* res); |
+ static void AddToTracedValue(const char* name, |
+ const gfx::Point3F&, |
+ base::trace_event::TracedValue* res); |
+ static void AddToTracedValue(const char* name, |
+ const gfx::Vector2d& v, |
+ base::trace_event::TracedValue* res); |
+ static void AddToTracedValue(const char* name, |
+ const gfx::Vector2dF& v, |
+ base::trace_event::TracedValue* res); |
+ static void AddToTracedValue(const char* name, |
+ const gfx::ScrollOffset& v, |
+ base::trace_event::TracedValue* res); |
+ static void AddToTracedValue(const char* name, |
+ const gfx::QuadF& q, |
+ base::trace_event::TracedValue* res); |
+ static void AddToTracedValue(const char* name, |
+ const gfx::RectF& rect, |
+ base::trace_event::TracedValue* res); |
+ static void AddToTracedValue(const char* name, |
+ const gfx::Transform& transform, |
+ base::trace_event::TracedValue* res); |
+ static void AddToTracedValue(const char* name, |
+ const gfx::BoxF& box, |
+ base::trace_event::TracedValue* res); |
+ |
+ // Returns a base::Value representation of the floating point value. |
+ // If the value is inf, returns max double/float representation. |
+ static double AsDoubleSafely(double value); |
+ static float AsFloatSafely(float value); |
+}; |
+ |
+} // namespace cc |
+ |
+#endif // CC_BASE_MATH_UTIL_H_ |