cc/math_util.cc - Issue 12472028: Part 1 of cc/ directory shuffles: base

Unified Diff: cc/math_util.cc

Issue 12472028: Part 1 of cc/ directory shuffles: base (Closed) Base URL: svn://svn.chromium.org/chrome/trunk/src

Patch Set: Created 7 years, 9 months ago

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Index: cc/math_util.cc

diff --git a/cc/math_util.cc b/cc/math_util.cc

deleted file mode 100644

index f5c0cb4eae3f447f214018ba766bfa102ca7ea9d..0000000000000000000000000000000000000000

--- a/cc/math_util.cc

+++ /dev/null

@@ -1,422 +0,0 @@

-// Use of this source code is governed by a BSD-style license that can be

-// found in the LICENSE file.

-#include "cc/math_util.h"

-#include <cmath>

-#include <limits>

-#include "base/values.h"

-#include "ui/gfx/quad_f.h"

-#include "ui/gfx/rect.h"

-#include "ui/gfx/rect_conversions.h"

-#include "ui/gfx/rect_f.h"

-#include "ui/gfx/transform.h"

-#include "ui/gfx/vector2d_f.h"

-namespace cc {

-const double MathUtil::PI_DOUBLE = 3.14159265358979323846;

-const float MathUtil::PI_FLOAT = 3.14159265358979323846f;

-const double MathUtil::EPSILON = 1e-9;

-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().getDouble(2, 2))

- return HomogeneousCoordinate(0, 0, 0, 1);

- double x = p.x();

- double y = p.y();

- double z = -(transform.matrix().getDouble(2, 0) * x + transform.matrix().getDouble(2, 1) * y + transform.matrix().getDouble(2, 3)) / transform.matrix().getDouble(2, 2);

- // implicit definition of w = 1;

- double outX = x * transform.matrix().getDouble(0, 0) + y * transform.matrix().getDouble(0, 1) + z * transform.matrix().getDouble(0, 2) + transform.matrix().getDouble(0, 3);

- double outY = x * transform.matrix().getDouble(1, 0) + y * transform.matrix().getDouble(1, 1) + z * transform.matrix().getDouble(1, 2) + transform.matrix().getDouble(1, 3);

- double outZ = x * transform.matrix().getDouble(2, 0) + y * transform.matrix().getDouble(2, 1) + z * transform.matrix().getDouble(2, 2) + transform.matrix().getDouble(2, 3);

- double outW = x * transform.matrix().getDouble(3, 0) + y * transform.matrix().getDouble(3, 1) + z * transform.matrix().getDouble(3, 2) + transform.matrix().getDouble(3, 3);

- return HomogeneousCoordinate(outX, outY, outZ, outW);

-static HomogeneousCoordinate mapHomogeneousPoint(const gfx::Transform& transform, const gfx::Point3F& p)

- double x = p.x();

- double y = p.y();

- double z = p.z();

- // implicit definition of w = 1;

- double outX = x * transform.matrix().getDouble(0, 0) + y * transform.matrix().getDouble(0, 1) + z * transform.matrix().getDouble(0, 2) + transform.matrix().getDouble(0, 3);

- double outY = x * transform.matrix().getDouble(1, 0) + y * transform.matrix().getDouble(1, 1) + z * transform.matrix().getDouble(1, 2) + transform.matrix().getDouble(1, 3);

- double outZ = x * transform.matrix().getDouble(2, 0) + y * transform.matrix().getDouble(2, 1) + z * transform.matrix().getDouble(2, 2) + transform.matrix().getDouble(2, 3);

- double outW = x * transform.matrix().getDouble(3, 0) + y * transform.matrix().getDouble(3, 1) + z * transform.matrix().getDouble(3, 2) + transform.matrix().getDouble(3, 3);

- return HomogeneousCoordinate(outX, outY, outZ, outW);

-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(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());

- double w = 0.00001; // or any positive non-zero small epsilon

- double t = (w - h1.w) / (h2.w - h1.w);

- double x = (1-t) * h1.x + t * h2.x;

- double y = (1-t) * h1.y + t * h2.y;

- double z = (1-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& newVertex, gfx::PointF clippedQuad[8], int& numVerticesInClippedQuad)

- clippedQuad[numVerticesInClippedQuad] = newVertex;

- numVerticesInClippedQuad++;

-gfx::Rect MathUtil::mapClippedRect(const gfx::Transform& transform, const gfx::Rect& srcRect)

- return gfx::ToEnclosingRect(mapClippedRect(transform, gfx::RectF(srcRect)));

-gfx::RectF MathUtil::mapClippedRect(const gfx::Transform& transform, const gfx::RectF& srcRect)

- if (transform.IsIdentityOrTranslation())

- return srcRect + gfx::Vector2dF(static_cast<float>(transform.matrix().getDouble(0, 3)), static_cast<float>(transform.matrix().getDouble(1, 3)));

- // Apply the transform, but retain the result in homogeneous coordinates.

- double quad[4 * 2]; // input: 4 x 2D points

- quad[0] = srcRect.x();

- quad[1] = srcRect.y();

- quad[2] = srcRect.right();

- quad[3] = srcRect.y();

- quad[4] = srcRect.right();

- quad[5] = srcRect.bottom();

- quad[6] = srcRect.x();

- quad[7] = srcRect.bottom();

- double 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::RectF MathUtil::projectClippedRect(const gfx::Transform& transform, const gfx::RectF& srcRect)

- if (transform.IsIdentityOrTranslation())

- return srcRect + gfx::Vector2dF(static_cast<float>(transform.matrix().getDouble(0, 3)), static_cast<float>(transform.matrix().getDouble(1, 3)));

- // Perform the projection, but retain the result in homogeneous coordinates.

- gfx::QuadF q = gfx::QuadF(srcRect);

- 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);

-void MathUtil::mapClippedQuad(const gfx::Transform& transform, const gfx::QuadF& srcQuad, gfx::PointF clippedQuad[8], int& numVerticesInClippedQuad)

- HomogeneousCoordinate h1 = mapHomogeneousPoint(transform, gfx::Point3F(srcQuad.p1()));

- HomogeneousCoordinate h2 = mapHomogeneousPoint(transform, gfx::Point3F(srcQuad.p2()));

- HomogeneousCoordinate h3 = mapHomogeneousPoint(transform, gfx::Point3F(srcQuad.p3()));

- HomogeneousCoordinate h4 = mapHomogeneousPoint(transform, gfx::Point3F(srcQuad.p4()));

- // The order of adding the vertices to the array is chosen so that clockwise / counter-clockwise orientation is retained.

- numVerticesInClippedQuad = 0;

- if (!h1.shouldBeClipped())

- addVertexToClippedQuad(h1.cartesianPoint2d(), clippedQuad, numVerticesInClippedQuad);

- if (h1.shouldBeClipped() ^ h2.shouldBeClipped())

- addVertexToClippedQuad(computeClippedPointForEdge(h1, h2).cartesianPoint2d(), clippedQuad, numVerticesInClippedQuad);

- if (!h2.shouldBeClipped())

- addVertexToClippedQuad(h2.cartesianPoint2d(), clippedQuad, numVerticesInClippedQuad);

- if (h2.shouldBeClipped() ^ h3.shouldBeClipped())

- addVertexToClippedQuad(computeClippedPointForEdge(h2, h3).cartesianPoint2d(), clippedQuad, numVerticesInClippedQuad);

- if (!h3.shouldBeClipped())

- addVertexToClippedQuad(h3.cartesianPoint2d(), clippedQuad, numVerticesInClippedQuad);

- if (h3.shouldBeClipped() ^ h4.shouldBeClipped())

- addVertexToClippedQuad(computeClippedPointForEdge(h3, h4).cartesianPoint2d(), clippedQuad, numVerticesInClippedQuad);

- if (!h4.shouldBeClipped())

- addVertexToClippedQuad(h4.cartesianPoint2d(), clippedQuad, numVerticesInClippedQuad);

- if (h4.shouldBeClipped() ^ h1.shouldBeClipped())

- addVertexToClippedQuad(computeClippedPointForEdge(h4, h1).cartesianPoint2d(), clippedQuad, numVerticesInClippedQuad);

- DCHECK(numVerticesInClippedQuad <= 8);

-gfx::RectF MathUtil::computeEnclosingRectOfVertices(gfx::PointF vertices[], int numVertices)

- if (numVertices < 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 < numVertices; ++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 somethingClipped = h1.shouldBeClipped() || h2.shouldBeClipped() || h3.shouldBeClipped() || h4.shouldBeClipped();

- if (!somethingClipped) {

- gfx::QuadF mappedQuad = gfx::QuadF(h1.cartesianPoint2d(), h2.cartesianPoint2d(), h3.cartesianPoint2d(), h4.cartesianPoint2d());

- return mappedQuad.BoundingBox();

- }

- bool everythingClipped = h1.shouldBeClipped() && h2.shouldBeClipped() && h3.shouldBeClipped() && h4.shouldBeClipped();

- if (everythingClipped)

- 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 mappedQuad(q);

- mappedQuad += gfx::Vector2dF(static_cast<float>(transform.matrix().getDouble(0, 3)), static_cast<float>(transform.matrix().getDouble(1, 3)));

- clipped = false;

- return mappedQuad;

- }

- 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::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 projectedQuad;

- bool clippedPoint;

- projectedQuad.set_p1(projectPoint(transform, q.p1(), clippedPoint));

- clipped = clippedPoint;

- projectedQuad.set_p2(projectPoint(transform, q.p2(), clippedPoint));

- clipped |= clippedPoint;

- projectedQuad.set_p3(projectPoint(transform, q.p3(), clippedPoint));

- clipped |= clippedPoint;

- projectedQuad.set_p4(projectPoint(transform, q.p4(), clippedPoint));

- clipped |= clippedPoint;

- return projectedQuad;

-gfx::PointF MathUtil::projectPoint(const gfx::Transform& transform, const gfx::PointF& p, bool& clipped)

- HomogeneousCoordinate h = projectHomogeneousPoint(transform, p);

- if (h.w > 0) {

- // The cartesian coordinates will be valid in this case.

- 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();

-static inline float scaleOnAxis(double a, double b, double c)

- return std::sqrt(a * a + b * b + c * c);

-gfx::Vector2dF MathUtil::computeTransform2dScaleComponents(const gfx::Transform& transform, float fallbackValue)

- if (transform.HasPerspective())

- return gfx::Vector2dF(fallbackValue, fallbackValue);

- float xScale = scaleOnAxis(transform.matrix().getDouble(0, 0), transform.matrix().getDouble(1, 0), transform.matrix().getDouble(2, 0));

- float yScale = scaleOnAxis(transform.matrix().getDouble(0, 1), transform.matrix().getDouble(1, 1), transform.matrix().getDouble(2, 1));

- return gfx::Vector2dF(xScale, yScale);

-float MathUtil::smallestAngleBetweenVectors(gfx::Vector2dF v1, gfx::Vector2dF v2)

- double dotProduct = gfx::DotProduct(v1, v2) / v1.Length() / v2.Length();

- // Clamp to compensate for rounding errors.

- dotProduct = std::max(-1.0, std::min(1.0, dotProduct));

- return static_cast<float>(Rad2Deg(std::acos(dotProduct)));

-gfx::Vector2dF MathUtil::projectVector(gfx::Vector2dF source, gfx::Vector2dF destination)

- float projectedLength = gfx::DotProduct(source, destination) / destination.LengthSquared();

- return gfx::Vector2dF(projectedLength * destination.x(), projectedLength * destination.y());

-scoped_ptr<base::Value> MathUtil::asValue(gfx::Size s) {

- scoped_ptr<base::DictionaryValue> res(new base::DictionaryValue());

- res->SetDouble("width", s.width());

- res->SetDouble("height", s.height());

- return res.PassAs<base::Value>();

-scoped_ptr<base::Value> MathUtil::asValue(gfx::PointF pt) {

- scoped_ptr<base::DictionaryValue> res(new base::DictionaryValue());

- res->SetDouble("x", pt.x());

- res->SetDouble("y", pt.y());

- return res.PassAs<base::Value>();

-scoped_ptr<base::Value> MathUtil::asValue(gfx::QuadF q) {

- scoped_ptr<base::DictionaryValue> res(new base::DictionaryValue());

- res->Set("p1", asValue(q.p1()).release());

- res->Set("p2", asValue(q.p2()).release());

- res->Set("p3", asValue(q.p3()).release());

- res->Set("p4", asValue(q.p4()).release());

- return res.PassAs<base::Value>();

-scoped_ptr<base::Value> MathUtil::asValueSafely(double value) {

- return scoped_ptr<base::Value>(base::Value::CreateDoubleValue(

- std::min(value, std::numeric_limits<double>::max())));

-scoped_ptr<base::Value> MathUtil::asValueSafely(float value) {

- return scoped_ptr<base::Value>(base::Value::CreateDoubleValue(

- std::min(value, std::numeric_limits<float>::max())));

-} // namespace cc

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