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Unified Diff: cc/base/math_util.cc

Issue 1533773002: Delete CC. (Closed) Base URL: git@github.com:domokit/mojo.git@cl-2e
Patch Set: rebase Created 5 years ago
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Index: cc/base/math_util.cc
diff --git a/cc/base/math_util.cc b/cc/base/math_util.cc
deleted file mode 100644
index e2fd565eb9774943c0c75c64ada9906fc1804ebb..0000000000000000000000000000000000000000
--- a/cc/base/math_util.cc
+++ /dev/null
@@ -1,870 +0,0 @@
-// 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.
-
-#include "cc/base/math_util.h"
-
-#include <algorithm>
-#include <cmath>
-#include <limits>
-
-#include "base/trace_event/trace_event_argument.h"
-#include "base/values.h"
-#include "ui/gfx/geometry/quad_f.h"
-#include "ui/gfx/geometry/rect.h"
-#include "ui/gfx/geometry/rect_conversions.h"
-#include "ui/gfx/geometry/rect_f.h"
-#include "ui/gfx/geometry/vector2d_f.h"
-#include "ui/gfx/transform.h"
-
-namespace cc {
-
-const double MathUtil::kPiDouble = 3.14159265358979323846;
-const float MathUtil::kPiFloat = 3.14159265358979323846f;
-
-static HomogeneousCoordinate ProjectHomogeneousPoint(
- const gfx::Transform& transform,
- const gfx::PointF& p) {
- // In this case, the layer we are trying to project onto is perpendicular to
- // ray (point p and z-axis direction) that we are trying to project. This
- // happens when the layer is rotated so that it is infinitesimally thin, or
- // when it is co-planar with the camera origin -- i.e. when the layer is
- // invisible anyway.
- if (!transform.matrix().get(2, 2))
- return HomogeneousCoordinate(0.0, 0.0, 0.0, 1.0);
-
- SkMScalar z = -(transform.matrix().get(2, 0) * p.x() +
- transform.matrix().get(2, 1) * p.y() +
- transform.matrix().get(2, 3)) /
- transform.matrix().get(2, 2);
- HomogeneousCoordinate result(p.x(), p.y(), z, 1.0);
- transform.matrix().mapMScalars(result.vec, result.vec);
- return result;
-}
-
-static HomogeneousCoordinate ProjectHomogeneousPoint(
- const gfx::Transform& transform,
- const gfx::PointF& p,
- bool* clipped) {
- HomogeneousCoordinate h = ProjectHomogeneousPoint(transform, p);
- *clipped = h.w() <= 0;
- return h;
-}
-
-static HomogeneousCoordinate MapHomogeneousPoint(
- const gfx::Transform& transform,
- const gfx::Point3F& p) {
- HomogeneousCoordinate result(p.x(), p.y(), p.z(), 1.0);
- transform.matrix().mapMScalars(result.vec, result.vec);
- return result;
-}
-
-static HomogeneousCoordinate ComputeClippedPointForEdge(
- const HomogeneousCoordinate& h1,
- const HomogeneousCoordinate& h2) {
- // Points h1 and h2 form a line in 4d, and any point on that line can be
- // represented as an interpolation between h1 and h2:
- // p = (1-t) h1 + (t) h2
- //
- // We want to compute point p such that p.w == epsilon, where epsilon is a
- // small non-zero number. (but the smaller the number is, the higher the risk
- // of overflow)
- // To do this, we solve for t in the following equation:
- // p.w = epsilon = (1-t) * h1.w + (t) * h2.w
- //
- // Once paramter t is known, the rest of p can be computed via
- // p = (1-t) h1 + (t) h2.
-
- // Technically this is a special case of the following assertion, but its a
- // good idea to keep it an explicit sanity check here.
- DCHECK_NE(h2.w(), h1.w());
- // Exactly one of h1 or h2 (but not both) must be on the negative side of the
- // w plane when this is called.
- DCHECK(h1.ShouldBeClipped() ^ h2.ShouldBeClipped());
-
- // ...or any positive non-zero small epsilon
- SkMScalar w = 0.00001f;
- SkMScalar t = (w - h1.w()) / (h2.w() - h1.w());
-
- SkMScalar x = (SK_MScalar1 - t) * h1.x() + t * h2.x();
- SkMScalar y = (SK_MScalar1 - t) * h1.y() + t * h2.y();
- SkMScalar z = (SK_MScalar1 - t) * h1.z() + t * h2.z();
-
- return HomogeneousCoordinate(x, y, z, w);
-}
-
-static inline void ExpandBoundsToIncludePoint(float* xmin,
- float* xmax,
- float* ymin,
- float* ymax,
- const gfx::PointF& p) {
- *xmin = std::min(p.x(), *xmin);
- *xmax = std::max(p.x(), *xmax);
- *ymin = std::min(p.y(), *ymin);
- *ymax = std::max(p.y(), *ymax);
-}
-
-static inline void AddVertexToClippedQuad(const gfx::PointF& new_vertex,
- gfx::PointF clipped_quad[8],
- int* num_vertices_in_clipped_quad) {
- clipped_quad[*num_vertices_in_clipped_quad] = new_vertex;
- (*num_vertices_in_clipped_quad)++;
-}
-
-static inline void AddVertexToClippedQuad3d(const gfx::Point3F& new_vertex,
- gfx::Point3F clipped_quad[8],
- int* num_vertices_in_clipped_quad) {
- clipped_quad[*num_vertices_in_clipped_quad] = new_vertex;
- (*num_vertices_in_clipped_quad)++;
-}
-
-gfx::Rect MathUtil::MapEnclosingClippedRect(const gfx::Transform& transform,
- const gfx::Rect& src_rect) {
- if (transform.IsIdentityOrIntegerTranslation()) {
- gfx::Vector2d offset(static_cast<int>(transform.matrix().getFloat(0, 3)),
- static_cast<int>(transform.matrix().getFloat(1, 3)));
- return src_rect + offset;
- }
- return gfx::ToEnclosingRect(MapClippedRect(transform, gfx::RectF(src_rect)));
-}
-
-gfx::RectF MathUtil::MapClippedRect(const gfx::Transform& transform,
- const gfx::RectF& src_rect) {
- if (transform.IsIdentityOrTranslation()) {
- gfx::Vector2dF offset(transform.matrix().getFloat(0, 3),
- transform.matrix().getFloat(1, 3));
- return src_rect + offset;
- }
-
- // Apply the transform, but retain the result in homogeneous coordinates.
-
- SkMScalar quad[4 * 2]; // input: 4 x 2D points
- quad[0] = src_rect.x();
- quad[1] = src_rect.y();
- quad[2] = src_rect.right();
- quad[3] = src_rect.y();
- quad[4] = src_rect.right();
- quad[5] = src_rect.bottom();
- quad[6] = src_rect.x();
- quad[7] = src_rect.bottom();
-
- SkMScalar result[4 * 4]; // output: 4 x 4D homogeneous points
- transform.matrix().map2(quad, 4, result);
-
- HomogeneousCoordinate hc0(result[0], result[1], result[2], result[3]);
- HomogeneousCoordinate hc1(result[4], result[5], result[6], result[7]);
- HomogeneousCoordinate hc2(result[8], result[9], result[10], result[11]);
- HomogeneousCoordinate hc3(result[12], result[13], result[14], result[15]);
- return ComputeEnclosingClippedRect(hc0, hc1, hc2, hc3);
-}
-
-gfx::Rect MathUtil::ProjectEnclosingClippedRect(const gfx::Transform& transform,
- const gfx::Rect& src_rect) {
- if (transform.IsIdentityOrIntegerTranslation()) {
- gfx::Vector2d offset(static_cast<int>(transform.matrix().getFloat(0, 3)),
- static_cast<int>(transform.matrix().getFloat(1, 3)));
- return src_rect + offset;
- }
- return gfx::ToEnclosingRect(
- ProjectClippedRect(transform, gfx::RectF(src_rect)));
-}
-
-gfx::RectF MathUtil::ProjectClippedRect(const gfx::Transform& transform,
- const gfx::RectF& src_rect) {
- if (transform.IsIdentityOrTranslation()) {
- gfx::Vector2dF offset(transform.matrix().getFloat(0, 3),
- transform.matrix().getFloat(1, 3));
- return src_rect + offset;
- }
-
- // Perform the projection, but retain the result in homogeneous coordinates.
- gfx::QuadF q = gfx::QuadF(src_rect);
- HomogeneousCoordinate h1 = ProjectHomogeneousPoint(transform, q.p1());
- HomogeneousCoordinate h2 = ProjectHomogeneousPoint(transform, q.p2());
- HomogeneousCoordinate h3 = ProjectHomogeneousPoint(transform, q.p3());
- HomogeneousCoordinate h4 = ProjectHomogeneousPoint(transform, q.p4());
-
- return ComputeEnclosingClippedRect(h1, h2, h3, h4);
-}
-
-gfx::Rect MathUtil::MapEnclosedRectWith2dAxisAlignedTransform(
- const gfx::Transform& transform,
- const gfx::Rect& rect) {
- DCHECK(transform.Preserves2dAxisAlignment());
-
- if (transform.IsIdentityOrIntegerTranslation()) {
- gfx::Vector2d offset(static_cast<int>(transform.matrix().getFloat(0, 3)),
- static_cast<int>(transform.matrix().getFloat(1, 3)));
- return rect + offset;
- }
- if (transform.IsIdentityOrTranslation()) {
- gfx::Vector2dF offset(transform.matrix().getFloat(0, 3),
- transform.matrix().getFloat(1, 3));
- return gfx::ToEnclosedRect(rect + offset);
- }
-
- SkMScalar quad[2 * 2]; // input: 2 x 2D points
- quad[0] = rect.x();
- quad[1] = rect.y();
- quad[2] = rect.right();
- quad[3] = rect.bottom();
-
- SkMScalar result[4 * 2]; // output: 2 x 4D homogeneous points
- transform.matrix().map2(quad, 2, result);
-
- HomogeneousCoordinate hc0(result[0], result[1], result[2], result[3]);
- HomogeneousCoordinate hc1(result[4], result[5], result[6], result[7]);
- DCHECK(!hc0.ShouldBeClipped());
- DCHECK(!hc1.ShouldBeClipped());
-
- gfx::PointF top_left(hc0.CartesianPoint2d());
- gfx::PointF bottom_right(hc1.CartesianPoint2d());
- return gfx::ToEnclosedRect(gfx::BoundingRect(top_left, bottom_right));
-}
-
-void MathUtil::MapClippedQuad(const gfx::Transform& transform,
- const gfx::QuadF& src_quad,
- gfx::PointF clipped_quad[8],
- int* num_vertices_in_clipped_quad) {
- HomogeneousCoordinate h1 =
- MapHomogeneousPoint(transform, gfx::Point3F(src_quad.p1()));
- HomogeneousCoordinate h2 =
- MapHomogeneousPoint(transform, gfx::Point3F(src_quad.p2()));
- HomogeneousCoordinate h3 =
- MapHomogeneousPoint(transform, gfx::Point3F(src_quad.p3()));
- HomogeneousCoordinate h4 =
- MapHomogeneousPoint(transform, gfx::Point3F(src_quad.p4()));
-
- // The order of adding the vertices to the array is chosen so that
- // clockwise / counter-clockwise orientation is retained.
-
- *num_vertices_in_clipped_quad = 0;
-
- if (!h1.ShouldBeClipped()) {
- AddVertexToClippedQuad(
- h1.CartesianPoint2d(), clipped_quad, num_vertices_in_clipped_quad);
- }
-
- if (h1.ShouldBeClipped() ^ h2.ShouldBeClipped()) {
- AddVertexToClippedQuad(
- ComputeClippedPointForEdge(h1, h2).CartesianPoint2d(),
- clipped_quad,
- num_vertices_in_clipped_quad);
- }
-
- if (!h2.ShouldBeClipped()) {
- AddVertexToClippedQuad(
- h2.CartesianPoint2d(), clipped_quad, num_vertices_in_clipped_quad);
- }
-
- if (h2.ShouldBeClipped() ^ h3.ShouldBeClipped()) {
- AddVertexToClippedQuad(
- ComputeClippedPointForEdge(h2, h3).CartesianPoint2d(),
- clipped_quad,
- num_vertices_in_clipped_quad);
- }
-
- if (!h3.ShouldBeClipped()) {
- AddVertexToClippedQuad(
- h3.CartesianPoint2d(), clipped_quad, num_vertices_in_clipped_quad);
- }
-
- if (h3.ShouldBeClipped() ^ h4.ShouldBeClipped()) {
- AddVertexToClippedQuad(
- ComputeClippedPointForEdge(h3, h4).CartesianPoint2d(),
- clipped_quad,
- num_vertices_in_clipped_quad);
- }
-
- if (!h4.ShouldBeClipped()) {
- AddVertexToClippedQuad(
- h4.CartesianPoint2d(), clipped_quad, num_vertices_in_clipped_quad);
- }
-
- if (h4.ShouldBeClipped() ^ h1.ShouldBeClipped()) {
- AddVertexToClippedQuad(
- ComputeClippedPointForEdge(h4, h1).CartesianPoint2d(),
- clipped_quad,
- num_vertices_in_clipped_quad);
- }
-
- DCHECK_LE(*num_vertices_in_clipped_quad, 8);
-}
-
-bool MathUtil::MapClippedQuad3d(const gfx::Transform& transform,
- const gfx::QuadF& src_quad,
- gfx::Point3F clipped_quad[8],
- int* num_vertices_in_clipped_quad) {
- HomogeneousCoordinate h1 =
- MapHomogeneousPoint(transform, gfx::Point3F(src_quad.p1()));
- HomogeneousCoordinate h2 =
- MapHomogeneousPoint(transform, gfx::Point3F(src_quad.p2()));
- HomogeneousCoordinate h3 =
- MapHomogeneousPoint(transform, gfx::Point3F(src_quad.p3()));
- HomogeneousCoordinate h4 =
- MapHomogeneousPoint(transform, gfx::Point3F(src_quad.p4()));
-
- // The order of adding the vertices to the array is chosen so that
- // clockwise / counter-clockwise orientation is retained.
-
- *num_vertices_in_clipped_quad = 0;
-
- if (!h1.ShouldBeClipped()) {
- AddVertexToClippedQuad3d(
- h1.CartesianPoint3d(), clipped_quad, num_vertices_in_clipped_quad);
- }
-
- if (h1.ShouldBeClipped() ^ h2.ShouldBeClipped()) {
- AddVertexToClippedQuad3d(
- ComputeClippedPointForEdge(h1, h2).CartesianPoint3d(),
- clipped_quad,
- num_vertices_in_clipped_quad);
- }
-
- if (!h2.ShouldBeClipped()) {
- AddVertexToClippedQuad3d(
- h2.CartesianPoint3d(), clipped_quad, num_vertices_in_clipped_quad);
- }
-
- if (h2.ShouldBeClipped() ^ h3.ShouldBeClipped()) {
- AddVertexToClippedQuad3d(
- ComputeClippedPointForEdge(h2, h3).CartesianPoint3d(),
- clipped_quad,
- num_vertices_in_clipped_quad);
- }
-
- if (!h3.ShouldBeClipped()) {
- AddVertexToClippedQuad3d(
- h3.CartesianPoint3d(), clipped_quad, num_vertices_in_clipped_quad);
- }
-
- if (h3.ShouldBeClipped() ^ h4.ShouldBeClipped()) {
- AddVertexToClippedQuad3d(
- ComputeClippedPointForEdge(h3, h4).CartesianPoint3d(),
- clipped_quad,
- num_vertices_in_clipped_quad);
- }
-
- if (!h4.ShouldBeClipped()) {
- AddVertexToClippedQuad3d(
- h4.CartesianPoint3d(), clipped_quad, num_vertices_in_clipped_quad);
- }
-
- if (h4.ShouldBeClipped() ^ h1.ShouldBeClipped()) {
- AddVertexToClippedQuad3d(
- ComputeClippedPointForEdge(h4, h1).CartesianPoint3d(),
- clipped_quad,
- num_vertices_in_clipped_quad);
- }
-
- DCHECK_LE(*num_vertices_in_clipped_quad, 8);
- return (*num_vertices_in_clipped_quad >= 4);
-}
-
-gfx::RectF MathUtil::ComputeEnclosingRectOfVertices(
- const gfx::PointF vertices[],
- int num_vertices) {
- if (num_vertices < 2)
- return gfx::RectF();
-
- float xmin = std::numeric_limits<float>::max();
- float xmax = -std::numeric_limits<float>::max();
- float ymin = std::numeric_limits<float>::max();
- float ymax = -std::numeric_limits<float>::max();
-
- for (int i = 0; i < num_vertices; ++i)
- ExpandBoundsToIncludePoint(&xmin, &xmax, &ymin, &ymax, vertices[i]);
-
- return gfx::RectF(gfx::PointF(xmin, ymin),
- gfx::SizeF(xmax - xmin, ymax - ymin));
-}
-
-gfx::RectF MathUtil::ComputeEnclosingClippedRect(
- const HomogeneousCoordinate& h1,
- const HomogeneousCoordinate& h2,
- const HomogeneousCoordinate& h3,
- const HomogeneousCoordinate& h4) {
- // This function performs clipping as necessary and computes the enclosing 2d
- // gfx::RectF of the vertices. Doing these two steps simultaneously allows us
- // to avoid the overhead of storing an unknown number of clipped vertices.
-
- // If no vertices on the quad are clipped, then we can simply return the
- // enclosing rect directly.
- bool something_clipped = h1.ShouldBeClipped() || h2.ShouldBeClipped() ||
- h3.ShouldBeClipped() || h4.ShouldBeClipped();
- if (!something_clipped) {
- gfx::QuadF mapped_quad = gfx::QuadF(h1.CartesianPoint2d(),
- h2.CartesianPoint2d(),
- h3.CartesianPoint2d(),
- h4.CartesianPoint2d());
- return mapped_quad.BoundingBox();
- }
-
- bool everything_clipped = h1.ShouldBeClipped() && h2.ShouldBeClipped() &&
- h3.ShouldBeClipped() && h4.ShouldBeClipped();
- if (everything_clipped)
- return gfx::RectF();
-
- float xmin = std::numeric_limits<float>::max();
- float xmax = -std::numeric_limits<float>::max();
- float ymin = std::numeric_limits<float>::max();
- float ymax = -std::numeric_limits<float>::max();
-
- if (!h1.ShouldBeClipped())
- ExpandBoundsToIncludePoint(&xmin, &xmax, &ymin, &ymax,
- h1.CartesianPoint2d());
-
- if (h1.ShouldBeClipped() ^ h2.ShouldBeClipped())
- ExpandBoundsToIncludePoint(&xmin,
- &xmax,
- &ymin,
- &ymax,
- ComputeClippedPointForEdge(h1, h2)
- .CartesianPoint2d());
-
- if (!h2.ShouldBeClipped())
- ExpandBoundsToIncludePoint(&xmin, &xmax, &ymin, &ymax,
- h2.CartesianPoint2d());
-
- if (h2.ShouldBeClipped() ^ h3.ShouldBeClipped())
- ExpandBoundsToIncludePoint(&xmin,
- &xmax,
- &ymin,
- &ymax,
- ComputeClippedPointForEdge(h2, h3)
- .CartesianPoint2d());
-
- if (!h3.ShouldBeClipped())
- ExpandBoundsToIncludePoint(&xmin, &xmax, &ymin, &ymax,
- h3.CartesianPoint2d());
-
- if (h3.ShouldBeClipped() ^ h4.ShouldBeClipped())
- ExpandBoundsToIncludePoint(&xmin,
- &xmax,
- &ymin,
- &ymax,
- ComputeClippedPointForEdge(h3, h4)
- .CartesianPoint2d());
-
- if (!h4.ShouldBeClipped())
- ExpandBoundsToIncludePoint(&xmin, &xmax, &ymin, &ymax,
- h4.CartesianPoint2d());
-
- if (h4.ShouldBeClipped() ^ h1.ShouldBeClipped())
- ExpandBoundsToIncludePoint(&xmin,
- &xmax,
- &ymin,
- &ymax,
- ComputeClippedPointForEdge(h4, h1)
- .CartesianPoint2d());
-
- return gfx::RectF(gfx::PointF(xmin, ymin),
- gfx::SizeF(xmax - xmin, ymax - ymin));
-}
-
-gfx::QuadF MathUtil::MapQuad(const gfx::Transform& transform,
- const gfx::QuadF& q,
- bool* clipped) {
- if (transform.IsIdentityOrTranslation()) {
- gfx::QuadF mapped_quad(q);
- mapped_quad += gfx::Vector2dF(transform.matrix().getFloat(0, 3),
- transform.matrix().getFloat(1, 3));
- *clipped = false;
- return mapped_quad;
- }
-
- HomogeneousCoordinate h1 =
- MapHomogeneousPoint(transform, gfx::Point3F(q.p1()));
- HomogeneousCoordinate h2 =
- MapHomogeneousPoint(transform, gfx::Point3F(q.p2()));
- HomogeneousCoordinate h3 =
- MapHomogeneousPoint(transform, gfx::Point3F(q.p3()));
- HomogeneousCoordinate h4 =
- MapHomogeneousPoint(transform, gfx::Point3F(q.p4()));
-
- *clipped = h1.ShouldBeClipped() || h2.ShouldBeClipped() ||
- h3.ShouldBeClipped() || h4.ShouldBeClipped();
-
- // Result will be invalid if clipped == true. But, compute it anyway just in
- // case, to emulate existing behavior.
- return gfx::QuadF(h1.CartesianPoint2d(),
- h2.CartesianPoint2d(),
- h3.CartesianPoint2d(),
- h4.CartesianPoint2d());
-}
-
-gfx::QuadF MathUtil::MapQuad3d(const gfx::Transform& transform,
- const gfx::QuadF& q,
- gfx::Point3F* p,
- bool* clipped) {
- if (transform.IsIdentityOrTranslation()) {
- gfx::QuadF mapped_quad(q);
- mapped_quad += gfx::Vector2dF(transform.matrix().getFloat(0, 3),
- transform.matrix().getFloat(1, 3));
- *clipped = false;
- p[0] = gfx::Point3F(mapped_quad.p1().x(), mapped_quad.p1().y(), 0.0f);
- p[1] = gfx::Point3F(mapped_quad.p2().x(), mapped_quad.p2().y(), 0.0f);
- p[2] = gfx::Point3F(mapped_quad.p3().x(), mapped_quad.p3().y(), 0.0f);
- p[3] = gfx::Point3F(mapped_quad.p4().x(), mapped_quad.p4().y(), 0.0f);
- return mapped_quad;
- }
-
- HomogeneousCoordinate h1 =
- MapHomogeneousPoint(transform, gfx::Point3F(q.p1()));
- HomogeneousCoordinate h2 =
- MapHomogeneousPoint(transform, gfx::Point3F(q.p2()));
- HomogeneousCoordinate h3 =
- MapHomogeneousPoint(transform, gfx::Point3F(q.p3()));
- HomogeneousCoordinate h4 =
- MapHomogeneousPoint(transform, gfx::Point3F(q.p4()));
-
- *clipped = h1.ShouldBeClipped() || h2.ShouldBeClipped() ||
- h3.ShouldBeClipped() || h4.ShouldBeClipped();
-
- // Result will be invalid if clipped == true. But, compute it anyway just in
- // case, to emulate existing behavior.
- p[0] = h1.CartesianPoint3d();
- p[1] = h2.CartesianPoint3d();
- p[2] = h3.CartesianPoint3d();
- p[3] = h4.CartesianPoint3d();
-
- return gfx::QuadF(h1.CartesianPoint2d(),
- h2.CartesianPoint2d(),
- h3.CartesianPoint2d(),
- h4.CartesianPoint2d());
-}
-
-gfx::PointF MathUtil::MapPoint(const gfx::Transform& transform,
- const gfx::PointF& p,
- bool* clipped) {
- HomogeneousCoordinate h = MapHomogeneousPoint(transform, gfx::Point3F(p));
-
- if (h.w() > 0) {
- *clipped = false;
- return h.CartesianPoint2d();
- }
-
- // The cartesian coordinates will be invalid after dividing by w.
- *clipped = true;
-
- // Avoid dividing by w if w == 0.
- if (!h.w())
- return gfx::PointF();
-
- // This return value will be invalid because clipped == true, but (1) users of
- // this code should be ignoring the return value when clipped == true anyway,
- // and (2) this behavior is more consistent with existing behavior of WebKit
- // transforms if the user really does not ignore the return value.
- return h.CartesianPoint2d();
-}
-
-gfx::Point3F MathUtil::MapPoint(const gfx::Transform& transform,
- const gfx::Point3F& p,
- bool* clipped) {
- HomogeneousCoordinate h = MapHomogeneousPoint(transform, p);
-
- if (h.w() > 0) {
- *clipped = false;
- return h.CartesianPoint3d();
- }
-
- // The cartesian coordinates will be invalid after dividing by w.
- *clipped = true;
-
- // Avoid dividing by w if w == 0.
- if (!h.w())
- return gfx::Point3F();
-
- // This return value will be invalid because clipped == true, but (1) users of
- // this code should be ignoring the return value when clipped == true anyway,
- // and (2) this behavior is more consistent with existing behavior of WebKit
- // transforms if the user really does not ignore the return value.
- return h.CartesianPoint3d();
-}
-
-gfx::QuadF MathUtil::ProjectQuad(const gfx::Transform& transform,
- const gfx::QuadF& q,
- bool* clipped) {
- gfx::QuadF projected_quad;
- bool clipped_point;
- projected_quad.set_p1(ProjectPoint(transform, q.p1(), &clipped_point));
- *clipped = clipped_point;
- projected_quad.set_p2(ProjectPoint(transform, q.p2(), &clipped_point));
- *clipped |= clipped_point;
- projected_quad.set_p3(ProjectPoint(transform, q.p3(), &clipped_point));
- *clipped |= clipped_point;
- projected_quad.set_p4(ProjectPoint(transform, q.p4(), &clipped_point));
- *clipped |= clipped_point;
-
- return projected_quad;
-}
-
-gfx::PointF MathUtil::ProjectPoint(const gfx::Transform& transform,
- const gfx::PointF& p,
- bool* clipped) {
- HomogeneousCoordinate h = ProjectHomogeneousPoint(transform, p, clipped);
- // Avoid dividing by w if w == 0.
- if (!h.w())
- return gfx::PointF();
-
- // This return value will be invalid if clipped == true, but (1) users of
- // this code should be ignoring the return value when clipped == true anyway,
- // and (2) this behavior is more consistent with existing behavior of WebKit
- // transforms if the user really does not ignore the return value.
- return h.CartesianPoint2d();
-}
-
-gfx::Point3F MathUtil::ProjectPoint3D(const gfx::Transform& transform,
- const gfx::PointF& p,
- bool* clipped) {
- HomogeneousCoordinate h = ProjectHomogeneousPoint(transform, p, clipped);
- if (!h.w())
- return gfx::Point3F();
- return h.CartesianPoint3d();
-}
-
-gfx::RectF MathUtil::ScaleRectProportional(const gfx::RectF& input_outer_rect,
- const gfx::RectF& scale_outer_rect,
- const gfx::RectF& scale_inner_rect) {
- gfx::RectF output_inner_rect = input_outer_rect;
- float scale_rect_to_input_scale_x =
- scale_outer_rect.width() / input_outer_rect.width();
- float scale_rect_to_input_scale_y =
- scale_outer_rect.height() / input_outer_rect.height();
-
- gfx::Vector2dF top_left_diff =
- scale_inner_rect.origin() - scale_outer_rect.origin();
- gfx::Vector2dF bottom_right_diff =
- scale_inner_rect.bottom_right() - scale_outer_rect.bottom_right();
- output_inner_rect.Inset(top_left_diff.x() / scale_rect_to_input_scale_x,
- top_left_diff.y() / scale_rect_to_input_scale_y,
- -bottom_right_diff.x() / scale_rect_to_input_scale_x,
- -bottom_right_diff.y() / scale_rect_to_input_scale_y);
- return output_inner_rect;
-}
-
-static inline bool NearlyZero(double value) {
- return std::abs(value) < std::numeric_limits<double>::epsilon();
-}
-
-static inline float ScaleOnAxis(double a, double b, double c) {
- if (NearlyZero(b) && NearlyZero(c))
- return std::abs(a);
- if (NearlyZero(a) && NearlyZero(c))
- return std::abs(b);
- if (NearlyZero(a) && NearlyZero(b))
- return std::abs(c);
-
- // Do the sqrt as a double to not lose precision.
- return static_cast<float>(std::sqrt(a * a + b * b + c * c));
-}
-
-gfx::Vector2dF MathUtil::ComputeTransform2dScaleComponents(
- const gfx::Transform& transform,
- float fallback_value) {
- if (transform.HasPerspective())
- return gfx::Vector2dF(fallback_value, fallback_value);
- float x_scale = ScaleOnAxis(transform.matrix().getDouble(0, 0),
- transform.matrix().getDouble(1, 0),
- transform.matrix().getDouble(2, 0));
- float y_scale = ScaleOnAxis(transform.matrix().getDouble(0, 1),
- transform.matrix().getDouble(1, 1),
- transform.matrix().getDouble(2, 1));
- return gfx::Vector2dF(x_scale, y_scale);
-}
-
-float MathUtil::SmallestAngleBetweenVectors(const gfx::Vector2dF& v1,
- const gfx::Vector2dF& v2) {
- double dot_product = gfx::DotProduct(v1, v2) / v1.Length() / v2.Length();
- // Clamp to compensate for rounding errors.
- dot_product = std::max(-1.0, std::min(1.0, dot_product));
- return static_cast<float>(Rad2Deg(std::acos(dot_product)));
-}
-
-gfx::Vector2dF MathUtil::ProjectVector(const gfx::Vector2dF& source,
- const gfx::Vector2dF& destination) {
- float projected_length =
- gfx::DotProduct(source, destination) / destination.LengthSquared();
- return gfx::Vector2dF(projected_length * destination.x(),
- projected_length * destination.y());
-}
-
-scoped_ptr<base::Value> MathUtil::AsValue(const gfx::Size& s) {
- scoped_ptr<base::DictionaryValue> res(new base::DictionaryValue());
- res->SetDouble("width", s.width());
- res->SetDouble("height", s.height());
- return res.Pass();
-}
-
-scoped_ptr<base::Value> MathUtil::AsValue(const gfx::Rect& r) {
- scoped_ptr<base::ListValue> res(new base::ListValue());
- res->AppendInteger(r.x());
- res->AppendInteger(r.y());
- res->AppendInteger(r.width());
- res->AppendInteger(r.height());
- return res.Pass();
-}
-
-bool MathUtil::FromValue(const base::Value* raw_value, gfx::Rect* out_rect) {
- const base::ListValue* value = nullptr;
- if (!raw_value->GetAsList(&value))
- return false;
-
- if (value->GetSize() != 4)
- return false;
-
- int x, y, w, h;
- bool ok = true;
- ok &= value->GetInteger(0, &x);
- ok &= value->GetInteger(1, &y);
- ok &= value->GetInteger(2, &w);
- ok &= value->GetInteger(3, &h);
- if (!ok)
- return false;
-
- *out_rect = gfx::Rect(x, y, w, h);
- return true;
-}
-
-scoped_ptr<base::Value> MathUtil::AsValue(const gfx::PointF& pt) {
- scoped_ptr<base::ListValue> res(new base::ListValue());
- res->AppendDouble(pt.x());
- res->AppendDouble(pt.y());
- return res.Pass();
-}
-
-void MathUtil::AddToTracedValue(const char* name,
- const gfx::Size& s,
- base::trace_event::TracedValue* res) {
- res->BeginDictionary(name);
- res->SetDouble("width", s.width());
- res->SetDouble("height", s.height());
- res->EndDictionary();
-}
-
-void MathUtil::AddToTracedValue(const char* name,
- const gfx::SizeF& s,
- base::trace_event::TracedValue* res) {
- res->BeginDictionary(name);
- res->SetDouble("width", s.width());
- res->SetDouble("height", s.height());
- res->EndDictionary();
-}
-
-void MathUtil::AddToTracedValue(const char* name,
- const gfx::Rect& r,
- base::trace_event::TracedValue* res) {
- res->BeginArray(name);
- res->AppendInteger(r.x());
- res->AppendInteger(r.y());
- res->AppendInteger(r.width());
- res->AppendInteger(r.height());
- res->EndArray();
-}
-
-void MathUtil::AddToTracedValue(const char* name,
- const gfx::PointF& pt,
- base::trace_event::TracedValue* res) {
- res->BeginArray(name);
- res->AppendDouble(pt.x());
- res->AppendDouble(pt.y());
- res->EndArray();
-}
-
-void MathUtil::AddToTracedValue(const char* name,
- const gfx::Point3F& pt,
- base::trace_event::TracedValue* res) {
- res->BeginArray(name);
- res->AppendDouble(pt.x());
- res->AppendDouble(pt.y());
- res->AppendDouble(pt.z());
- res->EndArray();
-}
-
-void MathUtil::AddToTracedValue(const char* name,
- const gfx::Vector2d& v,
- base::trace_event::TracedValue* res) {
- res->BeginArray(name);
- res->AppendInteger(v.x());
- res->AppendInteger(v.y());
- res->EndArray();
-}
-
-void MathUtil::AddToTracedValue(const char* name,
- const gfx::Vector2dF& v,
- base::trace_event::TracedValue* res) {
- res->BeginArray(name);
- res->AppendDouble(v.x());
- res->AppendDouble(v.y());
- res->EndArray();
-}
-
-void MathUtil::AddToTracedValue(const char* name,
- const gfx::ScrollOffset& v,
- base::trace_event::TracedValue* res) {
- res->BeginArray(name);
- res->AppendDouble(v.x());
- res->AppendDouble(v.y());
- res->EndArray();
-}
-
-void MathUtil::AddToTracedValue(const char* name,
- const gfx::QuadF& q,
- base::trace_event::TracedValue* res) {
- res->BeginArray(name);
- res->AppendDouble(q.p1().x());
- res->AppendDouble(q.p1().y());
- res->AppendDouble(q.p2().x());
- res->AppendDouble(q.p2().y());
- res->AppendDouble(q.p3().x());
- res->AppendDouble(q.p3().y());
- res->AppendDouble(q.p4().x());
- res->AppendDouble(q.p4().y());
- res->EndArray();
-}
-
-void MathUtil::AddToTracedValue(const char* name,
- const gfx::RectF& rect,
- base::trace_event::TracedValue* res) {
- res->BeginArray(name);
- res->AppendDouble(rect.x());
- res->AppendDouble(rect.y());
- res->AppendDouble(rect.width());
- res->AppendDouble(rect.height());
- res->EndArray();
-}
-
-void MathUtil::AddToTracedValue(const char* name,
- const gfx::Transform& transform,
- base::trace_event::TracedValue* res) {
- res->BeginArray(name);
- const SkMatrix44& m = transform.matrix();
- for (int row = 0; row < 4; ++row) {
- for (int col = 0; col < 4; ++col)
- res->AppendDouble(m.getDouble(row, col));
- }
- res->EndArray();
-}
-
-void MathUtil::AddToTracedValue(const char* name,
- const gfx::BoxF& box,
- base::trace_event::TracedValue* res) {
- res->BeginArray(name);
- res->AppendInteger(box.x());
- res->AppendInteger(box.y());
- res->AppendInteger(box.z());
- res->AppendInteger(box.width());
- res->AppendInteger(box.height());
- res->AppendInteger(box.depth());
- res->EndArray();
-}
-
-double MathUtil::AsDoubleSafely(double value) {
- return std::min(value, std::numeric_limits<double>::max());
-}
-
-float MathUtil::AsFloatSafely(float value) {
- return std::min(value, std::numeric_limits<float>::max());
-}
-
-} // namespace cc
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