forked from mirrors/gecko-dev
87186734ba
This follows from the previous patch; these values feed into UpdateMinMaxScale as well, which explicitly wants to use floats, so there's no point in creating doubles. The source of this information is also a float-based matrix. MozReview-Commit-ID: LPk4Xm9AaJJ --HG-- extra : rebase_source : d7714755fb1078880133d6f044cc9bc7743439ee
1429 lines
49 KiB
C++
1429 lines
49 KiB
C++
/* -*- Mode: C++; tab-width: 8; indent-tabs-mode: nil; c-basic-offset: 2 -*- */
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/* vim: set ts=8 sts=2 et sw=2 tw=80: */
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/* This Source Code Form is subject to the terms of the Mozilla Public
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* License, v. 2.0. If a copy of the MPL was not distributed with this
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* file, You can obtain one at http://mozilla.org/MPL/2.0/. */
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/*
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* A class used for intermediate representations of the -moz-transform property.
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*/
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#include "nsStyleTransformMatrix.h"
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#include "nsCSSValue.h"
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#include "nsLayoutUtils.h"
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#include "nsPresContext.h"
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#include "nsRuleNode.h"
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#include "nsSVGUtils.h"
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#include "nsCSSKeywords.h"
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#include "mozilla/ServoBindings.h"
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#include "mozilla/StyleAnimationValue.h"
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#include "gfxMatrix.h"
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#include "gfxQuaternion.h"
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using namespace mozilla;
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using namespace mozilla::gfx;
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namespace nsStyleTransformMatrix {
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/* Note on floating point precision: The transform matrix is an array
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* of single precision 'float's, and so are most of the input values
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* we get from the style system, but intermediate calculations
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* involving angles need to be done in 'double'.
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*/
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// Define UNIFIED_CONTINUATIONS here and in nsDisplayList.cpp
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// to have the transform property try
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// to transform content with continuations as one unified block instead of
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// several smaller ones. This is currently disabled because it doesn't work
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// correctly, since when the frames are initially being reflowed, their
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// continuations all compute their bounding rects independently of each other
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// and consequently get the wrong value.
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//#define UNIFIED_CONTINUATIONS
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void
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TransformReferenceBox::EnsureDimensionsAreCached()
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{
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if (mIsCached) {
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return;
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}
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MOZ_ASSERT(mFrame);
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mIsCached = true;
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if (mFrame->GetStateBits() & NS_FRAME_SVG_LAYOUT) {
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if (!nsLayoutUtils::SVGTransformBoxEnabled()) {
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mX = -mFrame->GetPosition().x;
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mY = -mFrame->GetPosition().y;
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Size contextSize = nsSVGUtils::GetContextSize(mFrame);
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mWidth = nsPresContext::CSSPixelsToAppUnits(contextSize.width);
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mHeight = nsPresContext::CSSPixelsToAppUnits(contextSize.height);
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} else
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if (mFrame->StyleDisplay()->mTransformBox == StyleGeometryBox::FillBox) {
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// Percentages in transforms resolve against the SVG bbox, and the
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// transform is relative to the top-left of the SVG bbox.
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nsRect bboxInAppUnits =
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nsLayoutUtils::ComputeGeometryBox(const_cast<nsIFrame*>(mFrame),
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StyleGeometryBox::FillBox);
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// The mRect of an SVG nsIFrame is its user space bounds *including*
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// stroke and markers, whereas bboxInAppUnits is its user space bounds
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// including fill only. We need to note the offset of the reference box
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// from the frame's mRect in mX/mY.
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mX = bboxInAppUnits.x - mFrame->GetPosition().x;
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mY = bboxInAppUnits.y - mFrame->GetPosition().y;
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mWidth = bboxInAppUnits.width;
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mHeight = bboxInAppUnits.height;
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} else {
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// The value 'border-box' is treated as 'view-box' for SVG content.
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MOZ_ASSERT(mFrame->StyleDisplay()->mTransformBox ==
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StyleGeometryBox::ViewBox ||
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mFrame->StyleDisplay()->mTransformBox ==
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StyleGeometryBox::BorderBox,
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"Unexpected value for 'transform-box'");
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// Percentages in transforms resolve against the width/height of the
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// nearest viewport (or its viewBox if one is applied), and the
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// transform is relative to {0,0} in current user space.
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mX = -mFrame->GetPosition().x;
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mY = -mFrame->GetPosition().y;
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Size contextSize = nsSVGUtils::GetContextSize(mFrame);
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mWidth = nsPresContext::CSSPixelsToAppUnits(contextSize.width);
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mHeight = nsPresContext::CSSPixelsToAppUnits(contextSize.height);
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}
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return;
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}
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// If UNIFIED_CONTINUATIONS is not defined, this is simply the frame's
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// bounding rectangle, translated to the origin. Otherwise, it is the
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// smallest rectangle containing a frame and all of its continuations. For
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// example, if there is a <span> element with several continuations split
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// over several lines, this function will return the rectangle containing all
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// of those continuations.
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nsRect rect;
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#ifndef UNIFIED_CONTINUATIONS
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rect = mFrame->GetRect();
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#else
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// Iterate the continuation list, unioning together the bounding rects:
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for (const nsIFrame *currFrame = mFrame->FirstContinuation();
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currFrame != nullptr;
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currFrame = currFrame->GetNextContinuation())
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{
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// Get the frame rect in local coordinates, then translate back to the
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// original coordinates:
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rect.UnionRect(result, nsRect(currFrame->GetOffsetTo(mFrame),
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currFrame->GetSize()));
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}
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#endif
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mX = 0;
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mY = 0;
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mWidth = rect.Width();
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mHeight = rect.Height();
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}
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void
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TransformReferenceBox::Init(const nsSize& aDimensions)
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{
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MOZ_ASSERT(!mFrame && !mIsCached);
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mX = 0;
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mY = 0;
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mWidth = aDimensions.width;
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mHeight = aDimensions.height;
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mIsCached = true;
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}
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float
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ProcessTranslatePart(const nsCSSValue& aValue,
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GeckoStyleContext* aContext,
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nsPresContext* aPresContext,
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RuleNodeCacheConditions& aConditions,
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TransformReferenceBox* aRefBox,
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TransformReferenceBox::DimensionGetter aDimensionGetter)
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{
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nscoord offset = 0;
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float percent = 0.0f;
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if (aValue.GetUnit() == eCSSUnit_Percent) {
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percent = aValue.GetPercentValue();
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} else if (aValue.GetUnit() == eCSSUnit_Pixel ||
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aValue.GetUnit() == eCSSUnit_Number) {
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// Handle this here (even though nsRuleNode::CalcLength handles it
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// fine) so that callers are allowed to pass a null style context
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// and pres context to SetToTransformFunction if they know (as
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// StyleAnimationValue does) that all lengths within the transform
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// function have already been computed to pixels and percents.
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//
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// Raw numbers are treated as being pixels.
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//
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// Don't convert to aValue to AppUnits here to avoid precision issues.
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return aValue.GetFloatValue();
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} else if (aValue.IsCalcUnit()) {
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if (aContext) {
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// Gecko backend
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nsRuleNode::ComputedCalc result =
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nsRuleNode::SpecifiedCalcToComputedCalc(aValue, aContext, aPresContext,
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aConditions);
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percent = result.mPercent;
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offset = result.mLength;
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} else {
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// Servo backend. We can retrieve the Calc value directly because it has
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// been computed from Servo side and set by nsCSSValue::SetCalcValue().
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// We don't use nsRuleNode::SpecifiedCalcToComputedCalc() because it
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// asserts for null context and we always pass null context for Servo
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// backend.
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nsStyleCoord::CalcValue calc = aValue.GetCalcValue();
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percent = calc.mPercent;
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offset = calc.mLength;
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}
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} else {
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// Note: The unit of nsCSSValue passed from Servo side would be number,
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// pixel, percent, or eCSSUnit_Calc, so it is impossible to go into
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// this branch.
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MOZ_ASSERT(aContext, "We need a valid context to compute the length");
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offset = nsRuleNode::CalcLength(aValue, aContext, aPresContext,
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aConditions);
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}
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float translation =
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NSAppUnitsToFloatPixels(offset, nsPresContext::AppUnitsPerCSSPixel());
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// We want to avoid calling aDimensionGetter if there's no percentage to be
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// resolved (for performance reasons - see TransformReferenceBox).
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if (percent != 0.0f && aRefBox && !aRefBox->IsEmpty()) {
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translation +=
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percent * NSAppUnitsToFloatPixels((aRefBox->*aDimensionGetter)(),
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nsPresContext::AppUnitsPerCSSPixel());
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}
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return translation;
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}
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/**
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* Helper functions to process all the transformation function types.
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*
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* These take a matrix parameter to accumulate the current matrix.
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*/
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/* Helper function to process a matrix entry. */
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static void
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ProcessMatrix(Matrix4x4& aMatrix,
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const nsCSSValue::Array* aData,
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GeckoStyleContext* aContext,
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nsPresContext* aPresContext,
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RuleNodeCacheConditions& aConditions,
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TransformReferenceBox& aRefBox)
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{
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NS_PRECONDITION(aData->Count() == 7, "Invalid array!");
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gfxMatrix result;
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/* Take the first four elements out of the array as floats and store
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* them.
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*/
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result._11 = aData->Item(1).GetFloatValue();
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result._12 = aData->Item(2).GetFloatValue();
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result._21 = aData->Item(3).GetFloatValue();
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result._22 = aData->Item(4).GetFloatValue();
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/* The last two elements have their length parts stored in aDelta
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* and their percent parts stored in aX[0] and aY[1].
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*/
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result._31 = ProcessTranslatePart(aData->Item(5),
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aContext, aPresContext, aConditions,
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&aRefBox, &TransformReferenceBox::Width);
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result._32 = ProcessTranslatePart(aData->Item(6),
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aContext, aPresContext, aConditions,
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&aRefBox, &TransformReferenceBox::Height);
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aMatrix = result * aMatrix;
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}
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static void
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ProcessMatrix3D(Matrix4x4& aMatrix,
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const nsCSSValue::Array* aData,
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GeckoStyleContext* aContext,
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nsPresContext* aPresContext,
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RuleNodeCacheConditions& aConditions,
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TransformReferenceBox& aRefBox)
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{
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NS_PRECONDITION(aData->Count() == 17, "Invalid array!");
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Matrix4x4 temp;
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temp._11 = aData->Item(1).GetFloatValue();
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temp._12 = aData->Item(2).GetFloatValue();
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temp._13 = aData->Item(3).GetFloatValue();
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temp._14 = aData->Item(4).GetFloatValue();
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temp._21 = aData->Item(5).GetFloatValue();
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temp._22 = aData->Item(6).GetFloatValue();
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temp._23 = aData->Item(7).GetFloatValue();
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temp._24 = aData->Item(8).GetFloatValue();
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temp._31 = aData->Item(9).GetFloatValue();
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temp._32 = aData->Item(10).GetFloatValue();
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temp._33 = aData->Item(11).GetFloatValue();
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temp._34 = aData->Item(12).GetFloatValue();
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temp._44 = aData->Item(16).GetFloatValue();
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temp._41 = ProcessTranslatePart(aData->Item(13),
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aContext, aPresContext, aConditions,
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&aRefBox, &TransformReferenceBox::Width);
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temp._42 = ProcessTranslatePart(aData->Item(14),
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aContext, aPresContext, aConditions,
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&aRefBox, &TransformReferenceBox::Height);
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temp._43 = ProcessTranslatePart(aData->Item(15),
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aContext, aPresContext, aConditions,
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nullptr);
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aMatrix = temp * aMatrix;
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}
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// For accumulation for transform functions, |aOne| corresponds to |aB| and
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// |aTwo| corresponds to |aA| for StyleAnimationValue::Accumulate().
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class Accumulate {
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public:
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template<typename T>
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static T operate(const T& aOne, const T& aTwo, double aCoeff)
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{
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return aOne + aTwo * aCoeff;
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}
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static Point4D operateForPerspective(const Point4D& aOne,
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const Point4D& aTwo,
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double aCoeff)
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{
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return (aOne - Point4D(0, 0, 0, 1)) +
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(aTwo - Point4D(0, 0, 0, 1)) * aCoeff +
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Point4D(0, 0, 0, 1);
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}
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static Point3D operateForScale(const Point3D& aOne,
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const Point3D& aTwo,
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double aCoeff)
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{
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// For scale, the identify element is 1, see AddTransformScale in
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// StyleAnimationValue.cpp.
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return (aOne - Point3D(1, 1, 1)) +
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(aTwo - Point3D(1, 1, 1)) * aCoeff +
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Point3D(1, 1, 1);
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}
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static Matrix4x4 operateForRotate(const gfxQuaternion& aOne,
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const gfxQuaternion& aTwo,
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double aCoeff)
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{
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if (aCoeff == 0.0) {
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return aOne.ToMatrix();
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}
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double theta = acos(mozilla::clamped(aTwo.w, -1.0, 1.0));
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double scale = (theta != 0.0) ? 1.0 / sin(theta) : 0.0;
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theta *= aCoeff;
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scale *= sin(theta);
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gfxQuaternion result = gfxQuaternion(scale * aTwo.x,
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scale * aTwo.y,
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scale * aTwo.z,
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cos(theta)) * aOne;
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return result.ToMatrix();
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}
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static Matrix4x4 operateForFallback(const Matrix4x4& aMatrix1,
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const Matrix4x4& aMatrix2,
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double aProgress)
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{
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return aMatrix1;
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}
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static Matrix4x4 operateByServo(const Matrix4x4& aMatrix1,
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const Matrix4x4& aMatrix2,
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double aCount)
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{
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Matrix4x4 result;
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Servo_MatrixTransform_Operate(MatrixTransformOperator::Accumulate,
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&aMatrix1.components,
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&aMatrix2.components,
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aCount,
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&result.components);
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return result;
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}
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};
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class Interpolate {
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public:
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template<typename T>
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static T operate(const T& aOne, const T& aTwo, double aCoeff)
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{
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return aOne + (aTwo - aOne) * aCoeff;
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}
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static Point4D operateForPerspective(const Point4D& aOne,
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const Point4D& aTwo,
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double aCoeff)
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{
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return aOne + (aTwo - aOne) * aCoeff;
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}
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static Point3D operateForScale(const Point3D& aOne,
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const Point3D& aTwo,
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double aCoeff)
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{
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return aOne + (aTwo - aOne) * aCoeff;
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}
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static Matrix4x4 operateForRotate(const gfxQuaternion& aOne,
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const gfxQuaternion& aTwo,
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double aCoeff)
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{
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return aOne.Slerp(aTwo, aCoeff).ToMatrix();
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}
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static Matrix4x4 operateForFallback(const Matrix4x4& aMatrix1,
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const Matrix4x4& aMatrix2,
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double aProgress)
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{
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return aProgress < 0.5 ? aMatrix1 : aMatrix2;
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}
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static Matrix4x4 operateByServo(const Matrix4x4& aMatrix1,
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const Matrix4x4& aMatrix2,
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double aProgress)
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{
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Matrix4x4 result;
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Servo_MatrixTransform_Operate(MatrixTransformOperator::Interpolate,
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&aMatrix1.components,
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&aMatrix2.components,
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aProgress,
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&result.components);
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return result;
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}
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};
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/**
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* Calculate 2 matrices by decomposing them with Operator.
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*
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* @param aMatrix1 First matrix, using CSS pixel units.
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* @param aMatrix2 Second matrix, using CSS pixel units.
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* @param aProgress Coefficient for the Operator.
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*/
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template <typename Operator>
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static Matrix4x4
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OperateTransformMatrix(const Matrix4x4 &aMatrix1,
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const Matrix4x4 &aMatrix2,
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double aProgress)
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{
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// Decompose both matrices
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Point3D scale1(1, 1, 1), translate1;
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Point4D perspective1(0, 0, 0, 1);
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gfxQuaternion rotate1;
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nsStyleTransformMatrix::ShearArray shear1{0.0f, 0.0f, 0.0f};
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Point3D scale2(1, 1, 1), translate2;
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Point4D perspective2(0, 0, 0, 1);
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gfxQuaternion rotate2;
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nsStyleTransformMatrix::ShearArray shear2{0.0f, 0.0f, 0.0f};
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// Check if both matrices are decomposable.
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bool wasDecomposed;
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Matrix matrix2d1, matrix2d2;
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if (aMatrix1.Is2D(&matrix2d1) && aMatrix2.Is2D(&matrix2d2)) {
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wasDecomposed =
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Decompose2DMatrix(matrix2d1, scale1, shear1, rotate1, translate1) &&
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Decompose2DMatrix(matrix2d2, scale2, shear2, rotate2, translate2);
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} else {
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wasDecomposed =
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Decompose3DMatrix(aMatrix1, scale1, shear1,
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rotate1, translate1, perspective1) &&
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Decompose3DMatrix(aMatrix2, scale2, shear2,
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rotate2, translate2, perspective2);
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}
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// Fallback to discrete operation if one of the matrices is not decomposable.
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if (!wasDecomposed) {
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return Operator::operateForFallback(aMatrix1, aMatrix2, aProgress);
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}
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Matrix4x4 result;
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// Operate each of the pieces in response to |Operator|.
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Point4D perspective =
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Operator::operateForPerspective(perspective1, perspective2, aProgress);
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result.SetTransposedVector(3, perspective);
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Point3D translate =
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Operator::operate(translate1, translate2, aProgress);
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result.PreTranslate(translate.x, translate.y, translate.z);
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Matrix4x4 rotate = Operator::operateForRotate(rotate1, rotate2, aProgress);
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if (!rotate.IsIdentity()) {
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result = rotate * result;
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}
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// TODO: Would it be better to operate these as angles?
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// How do we convert back to angles?
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float yzshear =
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Operator::operate(shear1[ShearType::YZSHEAR],
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shear2[ShearType::YZSHEAR],
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aProgress);
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if (yzshear != 0.0) {
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result.SkewYZ(yzshear);
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}
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float xzshear =
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Operator::operate(shear1[ShearType::XZSHEAR],
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shear2[ShearType::XZSHEAR],
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aProgress);
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if (xzshear != 0.0) {
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result.SkewXZ(xzshear);
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}
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float xyshear =
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Operator::operate(shear1[ShearType::XYSHEAR],
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shear2[ShearType::XYSHEAR],
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aProgress);
|
|
if (xyshear != 0.0) {
|
|
result.SkewXY(xyshear);
|
|
}
|
|
|
|
Point3D scale =
|
|
Operator::operateForScale(scale1, scale2, aProgress);
|
|
if (scale != Point3D(1.0, 1.0, 1.0)) {
|
|
result.PreScale(scale.x, scale.y, scale.z);
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
template <typename Operator>
|
|
static Matrix4x4
|
|
OperateTransformMatrixByServo(const Matrix4x4 &aMatrix1,
|
|
const Matrix4x4 &aMatrix2,
|
|
double aProgress)
|
|
{
|
|
return Operator::operateByServo(aMatrix1, aMatrix2, aProgress);
|
|
}
|
|
|
|
template <typename Operator>
|
|
static void
|
|
ProcessMatrixOperator(Matrix4x4& aMatrix,
|
|
const nsCSSValue::Array* aData,
|
|
GeckoStyleContext* aContext,
|
|
nsPresContext* aPresContext,
|
|
RuleNodeCacheConditions& aConditions,
|
|
TransformReferenceBox& aRefBox,
|
|
bool* aContains3dTransform)
|
|
{
|
|
NS_PRECONDITION(aData->Count() == 4, "Invalid array!");
|
|
|
|
auto readTransform = [&](const nsCSSValue& aValue) -> Matrix4x4 {
|
|
const nsCSSValueList* list = nullptr;
|
|
switch (aValue.GetUnit()) {
|
|
case eCSSUnit_List:
|
|
// For Gecko style backend.
|
|
list = aValue.GetListValue();
|
|
break;
|
|
case eCSSUnit_SharedList:
|
|
// For Servo style backend. The transform lists of interpolatematrix
|
|
// are not created on the main thread (i.e. during parallel traversal),
|
|
// and nsCSSValueList_heap is not thread safe. Therefore, we use
|
|
// nsCSSValueSharedList as a workaround.
|
|
list = aValue.GetSharedListValue()->mHead;
|
|
break;
|
|
default:
|
|
list = nullptr;
|
|
}
|
|
|
|
Matrix4x4 matrix;
|
|
if (!list) {
|
|
return matrix;
|
|
}
|
|
|
|
float appUnitPerCSSPixel = nsPresContext::AppUnitsPerCSSPixel();
|
|
matrix = nsStyleTransformMatrix::ReadTransforms(list,
|
|
aContext,
|
|
aPresContext,
|
|
aConditions,
|
|
aRefBox,
|
|
appUnitPerCSSPixel,
|
|
aContains3dTransform);
|
|
return matrix;
|
|
};
|
|
|
|
Matrix4x4 matrix1 = readTransform(aData->Item(1));
|
|
Matrix4x4 matrix2 = readTransform(aData->Item(2));
|
|
double progress = aData->Item(3).GetPercentValue();
|
|
|
|
// We cannot use GeckoStyleContext to check if we use Servo backend because
|
|
// it could be null in Gecko. Instead, use the unit of the nsCSSValue because
|
|
// we use eCSSUnit_SharedList for Servo backend.
|
|
if (aData->Item(1).GetUnit() == eCSSUnit_SharedList) {
|
|
aMatrix =
|
|
OperateTransformMatrixByServo<Operator>(matrix1, matrix2, progress)
|
|
* aMatrix;
|
|
return;
|
|
}
|
|
|
|
aMatrix =
|
|
OperateTransformMatrix<Operator>(matrix1, matrix2, progress) * aMatrix;
|
|
}
|
|
|
|
/* Helper function to process two matrices that we need to interpolate between */
|
|
void
|
|
ProcessInterpolateMatrix(Matrix4x4& aMatrix,
|
|
const nsCSSValue::Array* aData,
|
|
GeckoStyleContext* aContext,
|
|
nsPresContext* aPresContext,
|
|
RuleNodeCacheConditions& aConditions,
|
|
TransformReferenceBox& aRefBox,
|
|
bool* aContains3dTransform)
|
|
{
|
|
ProcessMatrixOperator<Interpolate>(aMatrix, aData, aContext, aPresContext,
|
|
aConditions, aRefBox,
|
|
aContains3dTransform);
|
|
}
|
|
|
|
void
|
|
ProcessAccumulateMatrix(Matrix4x4& aMatrix,
|
|
const nsCSSValue::Array* aData,
|
|
GeckoStyleContext* aContext,
|
|
nsPresContext* aPresContext,
|
|
RuleNodeCacheConditions& aConditions,
|
|
TransformReferenceBox& aRefBox,
|
|
bool* aContains3dTransform)
|
|
{
|
|
ProcessMatrixOperator<Accumulate>(aMatrix, aData, aContext, aPresContext,
|
|
aConditions, aRefBox,
|
|
aContains3dTransform);
|
|
}
|
|
|
|
/* Helper function to process a translatex function. */
|
|
static void
|
|
ProcessTranslateX(Matrix4x4& aMatrix,
|
|
const nsCSSValue::Array* aData,
|
|
GeckoStyleContext* aContext,
|
|
nsPresContext* aPresContext,
|
|
RuleNodeCacheConditions& aConditions,
|
|
TransformReferenceBox& aRefBox)
|
|
{
|
|
NS_PRECONDITION(aData->Count() == 2, "Invalid array!");
|
|
|
|
Point3D temp;
|
|
|
|
temp.x = ProcessTranslatePart(aData->Item(1),
|
|
aContext, aPresContext, aConditions,
|
|
&aRefBox, &TransformReferenceBox::Width);
|
|
aMatrix.PreTranslate(temp);
|
|
}
|
|
|
|
/* Helper function to process a translatey function. */
|
|
static void
|
|
ProcessTranslateY(Matrix4x4& aMatrix,
|
|
const nsCSSValue::Array* aData,
|
|
GeckoStyleContext* aContext,
|
|
nsPresContext* aPresContext,
|
|
RuleNodeCacheConditions& aConditions,
|
|
TransformReferenceBox& aRefBox)
|
|
{
|
|
NS_PRECONDITION(aData->Count() == 2, "Invalid array!");
|
|
|
|
Point3D temp;
|
|
|
|
temp.y = ProcessTranslatePart(aData->Item(1),
|
|
aContext, aPresContext, aConditions,
|
|
&aRefBox, &TransformReferenceBox::Height);
|
|
aMatrix.PreTranslate(temp);
|
|
}
|
|
|
|
static void
|
|
ProcessTranslateZ(Matrix4x4& aMatrix,
|
|
const nsCSSValue::Array* aData,
|
|
GeckoStyleContext* aContext,
|
|
nsPresContext* aPresContext,
|
|
RuleNodeCacheConditions& aConditions)
|
|
{
|
|
NS_PRECONDITION(aData->Count() == 2, "Invalid array!");
|
|
|
|
Point3D temp;
|
|
|
|
temp.z = ProcessTranslatePart(aData->Item(1), aContext,
|
|
aPresContext, aConditions,
|
|
nullptr);
|
|
aMatrix.PreTranslate(temp);
|
|
}
|
|
|
|
/* Helper function to process a translate function. */
|
|
static void
|
|
ProcessTranslate(Matrix4x4& aMatrix,
|
|
const nsCSSValue::Array* aData,
|
|
GeckoStyleContext* aContext,
|
|
nsPresContext* aPresContext,
|
|
RuleNodeCacheConditions& aConditions,
|
|
TransformReferenceBox& aRefBox)
|
|
{
|
|
NS_PRECONDITION(aData->Count() == 2 || aData->Count() == 3, "Invalid array!");
|
|
|
|
Point3D temp;
|
|
|
|
temp.x = ProcessTranslatePart(aData->Item(1),
|
|
aContext, aPresContext, aConditions,
|
|
&aRefBox, &TransformReferenceBox::Width);
|
|
|
|
/* If we read in a Y component, set it appropriately */
|
|
if (aData->Count() == 3) {
|
|
temp.y = ProcessTranslatePart(aData->Item(2),
|
|
aContext, aPresContext, aConditions,
|
|
&aRefBox, &TransformReferenceBox::Height);
|
|
}
|
|
aMatrix.PreTranslate(temp);
|
|
}
|
|
|
|
static void
|
|
ProcessTranslate3D(Matrix4x4& aMatrix,
|
|
const nsCSSValue::Array* aData,
|
|
GeckoStyleContext* aContext,
|
|
nsPresContext* aPresContext,
|
|
RuleNodeCacheConditions& aConditions,
|
|
TransformReferenceBox& aRefBox)
|
|
{
|
|
NS_PRECONDITION(aData->Count() == 4, "Invalid array!");
|
|
|
|
Point3D temp;
|
|
|
|
temp.x = ProcessTranslatePart(aData->Item(1),
|
|
aContext, aPresContext, aConditions,
|
|
&aRefBox, &TransformReferenceBox::Width);
|
|
|
|
temp.y = ProcessTranslatePart(aData->Item(2),
|
|
aContext, aPresContext, aConditions,
|
|
&aRefBox, &TransformReferenceBox::Height);
|
|
|
|
temp.z = ProcessTranslatePart(aData->Item(3),
|
|
aContext, aPresContext, aConditions,
|
|
nullptr);
|
|
|
|
aMatrix.PreTranslate(temp);
|
|
}
|
|
|
|
/* Helper function to set up a scale matrix. */
|
|
static void
|
|
ProcessScaleHelper(Matrix4x4& aMatrix,
|
|
float aXScale,
|
|
float aYScale,
|
|
float aZScale)
|
|
{
|
|
aMatrix.PreScale(aXScale, aYScale, aZScale);
|
|
}
|
|
|
|
/* Process a scalex function. */
|
|
static void
|
|
ProcessScaleX(Matrix4x4& aMatrix, const nsCSSValue::Array* aData)
|
|
{
|
|
NS_PRECONDITION(aData->Count() == 2, "Bad array!");
|
|
ProcessScaleHelper(aMatrix, aData->Item(1).GetFloatValue(), 1.0f, 1.0f);
|
|
}
|
|
|
|
/* Process a scaley function. */
|
|
static void
|
|
ProcessScaleY(Matrix4x4& aMatrix, const nsCSSValue::Array* aData)
|
|
{
|
|
NS_PRECONDITION(aData->Count() == 2, "Bad array!");
|
|
ProcessScaleHelper(aMatrix, 1.0f, aData->Item(1).GetFloatValue(), 1.0f);
|
|
}
|
|
|
|
static void
|
|
ProcessScaleZ(Matrix4x4& aMatrix, const nsCSSValue::Array* aData)
|
|
{
|
|
NS_PRECONDITION(aData->Count() == 2, "Bad array!");
|
|
ProcessScaleHelper(aMatrix, 1.0f, 1.0f, aData->Item(1).GetFloatValue());
|
|
}
|
|
|
|
static void
|
|
ProcessScale3D(Matrix4x4& aMatrix, const nsCSSValue::Array* aData)
|
|
{
|
|
NS_PRECONDITION(aData->Count() == 4, "Bad array!");
|
|
ProcessScaleHelper(aMatrix,
|
|
aData->Item(1).GetFloatValue(),
|
|
aData->Item(2).GetFloatValue(),
|
|
aData->Item(3).GetFloatValue());
|
|
}
|
|
|
|
/* Process a scale function. */
|
|
static void
|
|
ProcessScale(Matrix4x4& aMatrix, const nsCSSValue::Array* aData)
|
|
{
|
|
NS_PRECONDITION(aData->Count() == 2 || aData->Count() == 3, "Bad array!");
|
|
/* We either have one element or two. If we have one, it's for both X and Y.
|
|
* Otherwise it's one for each.
|
|
*/
|
|
const nsCSSValue& scaleX = aData->Item(1);
|
|
const nsCSSValue& scaleY = (aData->Count() == 2 ? scaleX :
|
|
aData->Item(2));
|
|
|
|
ProcessScaleHelper(aMatrix,
|
|
scaleX.GetFloatValue(),
|
|
scaleY.GetFloatValue(),
|
|
1.0f);
|
|
}
|
|
|
|
/* Helper function that, given a set of angles, constructs the appropriate
|
|
* skew matrix.
|
|
*/
|
|
static void
|
|
ProcessSkewHelper(Matrix4x4& aMatrix, double aXAngle, double aYAngle)
|
|
{
|
|
aMatrix.SkewXY(aXAngle, aYAngle);
|
|
}
|
|
|
|
/* Function that converts a skewx transform into a matrix. */
|
|
static void
|
|
ProcessSkewX(Matrix4x4& aMatrix, const nsCSSValue::Array* aData)
|
|
{
|
|
NS_ASSERTION(aData->Count() == 2, "Bad array!");
|
|
ProcessSkewHelper(aMatrix, aData->Item(1).GetAngleValueInRadians(), 0.0);
|
|
}
|
|
|
|
/* Function that converts a skewy transform into a matrix. */
|
|
static void
|
|
ProcessSkewY(Matrix4x4& aMatrix, const nsCSSValue::Array* aData)
|
|
{
|
|
NS_ASSERTION(aData->Count() == 2, "Bad array!");
|
|
ProcessSkewHelper(aMatrix, 0.0, aData->Item(1).GetAngleValueInRadians());
|
|
}
|
|
|
|
/* Function that converts a skew transform into a matrix. */
|
|
static void
|
|
ProcessSkew(Matrix4x4& aMatrix, const nsCSSValue::Array* aData)
|
|
{
|
|
NS_ASSERTION(aData->Count() == 2 || aData->Count() == 3, "Bad array!");
|
|
|
|
double xSkew = aData->Item(1).GetAngleValueInRadians();
|
|
double ySkew = (aData->Count() == 2
|
|
? 0.0 : aData->Item(2).GetAngleValueInRadians());
|
|
|
|
ProcessSkewHelper(aMatrix, xSkew, ySkew);
|
|
}
|
|
|
|
/* Function that converts a rotate transform into a matrix. */
|
|
static void
|
|
ProcessRotateZ(Matrix4x4& aMatrix, const nsCSSValue::Array* aData)
|
|
{
|
|
NS_PRECONDITION(aData->Count() == 2, "Invalid array!");
|
|
double theta = aData->Item(1).GetAngleValueInRadians();
|
|
aMatrix.RotateZ(theta);
|
|
}
|
|
|
|
static void
|
|
ProcessRotateX(Matrix4x4& aMatrix, const nsCSSValue::Array* aData)
|
|
{
|
|
NS_PRECONDITION(aData->Count() == 2, "Invalid array!");
|
|
double theta = aData->Item(1).GetAngleValueInRadians();
|
|
aMatrix.RotateX(theta);
|
|
}
|
|
|
|
static void
|
|
ProcessRotateY(Matrix4x4& aMatrix, const nsCSSValue::Array* aData)
|
|
{
|
|
NS_PRECONDITION(aData->Count() == 2, "Invalid array!");
|
|
double theta = aData->Item(1).GetAngleValueInRadians();
|
|
aMatrix.RotateY(theta);
|
|
}
|
|
|
|
static void
|
|
ProcessRotate3D(Matrix4x4& aMatrix, const nsCSSValue::Array* aData)
|
|
{
|
|
NS_PRECONDITION(aData->Count() == 5, "Invalid array!");
|
|
|
|
double theta = aData->Item(4).GetAngleValueInRadians();
|
|
float x = aData->Item(1).GetFloatValue();
|
|
float y = aData->Item(2).GetFloatValue();
|
|
float z = aData->Item(3).GetFloatValue();
|
|
|
|
Matrix4x4 temp;
|
|
temp.SetRotateAxisAngle(x, y, z, theta);
|
|
|
|
aMatrix = temp * aMatrix;
|
|
}
|
|
|
|
static void
|
|
ProcessPerspective(Matrix4x4& aMatrix,
|
|
const nsCSSValue::Array* aData,
|
|
GeckoStyleContext *aContext,
|
|
nsPresContext *aPresContext,
|
|
RuleNodeCacheConditions& aConditions)
|
|
{
|
|
NS_PRECONDITION(aData->Count() == 2, "Invalid array!");
|
|
|
|
float depth = ProcessTranslatePart(aData->Item(1), aContext,
|
|
aPresContext, aConditions, nullptr);
|
|
ApplyPerspectiveToMatrix(aMatrix, depth);
|
|
}
|
|
|
|
|
|
/**
|
|
* SetToTransformFunction is essentially a giant switch statement that fans
|
|
* out to many smaller helper functions.
|
|
*/
|
|
static void
|
|
MatrixForTransformFunction(Matrix4x4& aMatrix,
|
|
const nsCSSValue::Array * aData,
|
|
GeckoStyleContext* aContext,
|
|
nsPresContext* aPresContext,
|
|
RuleNodeCacheConditions& aConditions,
|
|
TransformReferenceBox& aRefBox,
|
|
bool* aContains3dTransform)
|
|
{
|
|
MOZ_ASSERT(aContains3dTransform);
|
|
NS_PRECONDITION(aData, "Why did you want to get data from a null array?");
|
|
// It's OK if aContext and aPresContext are null if the caller already
|
|
// knows that all length units have been converted to pixels (as
|
|
// StyleAnimationValue does).
|
|
|
|
/* Get the keyword for the transform. */
|
|
switch (TransformFunctionOf(aData)) {
|
|
case eCSSKeyword_translatex:
|
|
ProcessTranslateX(aMatrix, aData, aContext, aPresContext,
|
|
aConditions, aRefBox);
|
|
break;
|
|
case eCSSKeyword_translatey:
|
|
ProcessTranslateY(aMatrix, aData, aContext, aPresContext,
|
|
aConditions, aRefBox);
|
|
break;
|
|
case eCSSKeyword_translatez:
|
|
*aContains3dTransform = true;
|
|
ProcessTranslateZ(aMatrix, aData, aContext, aPresContext,
|
|
aConditions);
|
|
break;
|
|
case eCSSKeyword_translate:
|
|
ProcessTranslate(aMatrix, aData, aContext, aPresContext,
|
|
aConditions, aRefBox);
|
|
break;
|
|
case eCSSKeyword_translate3d:
|
|
*aContains3dTransform = true;
|
|
ProcessTranslate3D(aMatrix, aData, aContext, aPresContext,
|
|
aConditions, aRefBox);
|
|
break;
|
|
case eCSSKeyword_scalex:
|
|
ProcessScaleX(aMatrix, aData);
|
|
break;
|
|
case eCSSKeyword_scaley:
|
|
ProcessScaleY(aMatrix, aData);
|
|
break;
|
|
case eCSSKeyword_scalez:
|
|
*aContains3dTransform = true;
|
|
ProcessScaleZ(aMatrix, aData);
|
|
break;
|
|
case eCSSKeyword_scale:
|
|
ProcessScale(aMatrix, aData);
|
|
break;
|
|
case eCSSKeyword_scale3d:
|
|
*aContains3dTransform = true;
|
|
ProcessScale3D(aMatrix, aData);
|
|
break;
|
|
case eCSSKeyword_skewx:
|
|
ProcessSkewX(aMatrix, aData);
|
|
break;
|
|
case eCSSKeyword_skewy:
|
|
ProcessSkewY(aMatrix, aData);
|
|
break;
|
|
case eCSSKeyword_skew:
|
|
ProcessSkew(aMatrix, aData);
|
|
break;
|
|
case eCSSKeyword_rotatex:
|
|
*aContains3dTransform = true;
|
|
ProcessRotateX(aMatrix, aData);
|
|
break;
|
|
case eCSSKeyword_rotatey:
|
|
*aContains3dTransform = true;
|
|
ProcessRotateY(aMatrix, aData);
|
|
break;
|
|
case eCSSKeyword_rotatez:
|
|
*aContains3dTransform = true;
|
|
MOZ_FALLTHROUGH;
|
|
case eCSSKeyword_rotate:
|
|
ProcessRotateZ(aMatrix, aData);
|
|
break;
|
|
case eCSSKeyword_rotate3d:
|
|
*aContains3dTransform = true;
|
|
ProcessRotate3D(aMatrix, aData);
|
|
break;
|
|
case eCSSKeyword_matrix:
|
|
ProcessMatrix(aMatrix, aData, aContext, aPresContext,
|
|
aConditions, aRefBox);
|
|
break;
|
|
case eCSSKeyword_matrix3d:
|
|
*aContains3dTransform = true;
|
|
ProcessMatrix3D(aMatrix, aData, aContext, aPresContext,
|
|
aConditions, aRefBox);
|
|
break;
|
|
case eCSSKeyword_interpolatematrix:
|
|
ProcessMatrixOperator<Interpolate>(aMatrix, aData, aContext, aPresContext,
|
|
aConditions, aRefBox,
|
|
aContains3dTransform);
|
|
break;
|
|
case eCSSKeyword_accumulatematrix:
|
|
ProcessMatrixOperator<Accumulate>(aMatrix, aData, aContext, aPresContext,
|
|
aConditions, aRefBox,
|
|
aContains3dTransform);
|
|
break;
|
|
case eCSSKeyword_perspective:
|
|
*aContains3dTransform = true;
|
|
ProcessPerspective(aMatrix, aData, aContext, aPresContext,
|
|
aConditions);
|
|
break;
|
|
default:
|
|
NS_NOTREACHED("Unknown transform function!");
|
|
}
|
|
}
|
|
|
|
/**
|
|
* Return the transform function, as an nsCSSKeyword, for the given
|
|
* nsCSSValue::Array from a transform list.
|
|
*/
|
|
nsCSSKeyword
|
|
TransformFunctionOf(const nsCSSValue::Array* aData)
|
|
{
|
|
MOZ_ASSERT(aData->Item(0).GetUnit() == eCSSUnit_Enumerated);
|
|
return aData->Item(0).GetKeywordValue();
|
|
}
|
|
|
|
void
|
|
SetIdentityMatrix(nsCSSValue::Array* aMatrix)
|
|
{
|
|
MOZ_ASSERT(aMatrix, "aMatrix should be non-null");
|
|
|
|
nsCSSKeyword tfunc = TransformFunctionOf(aMatrix);
|
|
MOZ_ASSERT(tfunc == eCSSKeyword_matrix ||
|
|
tfunc == eCSSKeyword_matrix3d,
|
|
"Only accept matrix and matrix3d");
|
|
|
|
if (tfunc == eCSSKeyword_matrix) {
|
|
MOZ_ASSERT(aMatrix->Count() == 7, "Invalid matrix");
|
|
Matrix m;
|
|
for (size_t i = 0; i < 6; ++i) {
|
|
aMatrix->Item(i + 1).SetFloatValue(m.components[i], eCSSUnit_Number);
|
|
}
|
|
return;
|
|
}
|
|
|
|
MOZ_ASSERT(aMatrix->Count() == 17, "Invalid matrix3d");
|
|
Matrix4x4 m;
|
|
for (size_t i = 0; i < 16; ++i) {
|
|
aMatrix->Item(i + 1).SetFloatValue(m.components[i], eCSSUnit_Number);
|
|
}
|
|
}
|
|
|
|
Matrix4x4
|
|
ReadTransforms(const nsCSSValueList* aList,
|
|
nsStyleContext* aContext,
|
|
nsPresContext* aPresContext,
|
|
RuleNodeCacheConditions& aConditions,
|
|
TransformReferenceBox& aRefBox,
|
|
float aAppUnitsPerMatrixUnit,
|
|
bool* aContains3dTransform)
|
|
{
|
|
Matrix4x4 result;
|
|
GeckoStyleContext* contextIfGecko = aContext
|
|
? aContext->GetAsGecko()
|
|
: nullptr;
|
|
|
|
for (const nsCSSValueList* curr = aList; curr != nullptr; curr = curr->mNext) {
|
|
const nsCSSValue &currElem = curr->mValue;
|
|
if (currElem.GetUnit() != eCSSUnit_Function) {
|
|
NS_ASSERTION(currElem.GetUnit() == eCSSUnit_None &&
|
|
!aList->mNext,
|
|
"stream should either be a list of functions or a "
|
|
"lone None");
|
|
continue;
|
|
}
|
|
NS_ASSERTION(currElem.GetArrayValue()->Count() >= 1,
|
|
"Incoming function is too short!");
|
|
|
|
/* Read in a single transform matrix. */
|
|
MatrixForTransformFunction(result, currElem.GetArrayValue(), contextIfGecko,
|
|
aPresContext, aConditions, aRefBox,
|
|
aContains3dTransform);
|
|
}
|
|
|
|
float scale = float(nsPresContext::AppUnitsPerCSSPixel()) / aAppUnitsPerMatrixUnit;
|
|
result.PreScale(1/scale, 1/scale, 1/scale);
|
|
result.PostScale(scale, scale, scale);
|
|
|
|
return result;
|
|
}
|
|
|
|
Point
|
|
Convert2DPosition(nsStyleCoord const (&aValue)[2],
|
|
TransformReferenceBox& aRefBox,
|
|
int32_t aAppUnitsPerDevPixel)
|
|
{
|
|
float position[2];
|
|
nsStyleTransformMatrix::TransformReferenceBox::DimensionGetter dimensionGetter[] =
|
|
{ &nsStyleTransformMatrix::TransformReferenceBox::Width,
|
|
&nsStyleTransformMatrix::TransformReferenceBox::Height };
|
|
for (uint8_t index = 0; index < 2; ++index) {
|
|
const nsStyleCoord& value = aValue[index];
|
|
if (value.GetUnit() == eStyleUnit_Calc) {
|
|
const nsStyleCoord::Calc *calc = value.GetCalcValue();
|
|
position[index] =
|
|
NSAppUnitsToFloatPixels((aRefBox.*dimensionGetter[index])(), aAppUnitsPerDevPixel) *
|
|
calc->mPercent +
|
|
NSAppUnitsToFloatPixels(calc->mLength, aAppUnitsPerDevPixel);
|
|
} else if (value.GetUnit() == eStyleUnit_Percent) {
|
|
position[index] =
|
|
NSAppUnitsToFloatPixels((aRefBox.*dimensionGetter[index])(), aAppUnitsPerDevPixel) *
|
|
value.GetPercentValue();
|
|
} else {
|
|
MOZ_ASSERT(value.GetUnit() == eStyleUnit_Coord,
|
|
"unexpected unit");
|
|
position[index] =
|
|
NSAppUnitsToFloatPixels(value.GetCoordValue(),
|
|
aAppUnitsPerDevPixel);
|
|
}
|
|
}
|
|
|
|
return Point(position[0], position[1]);
|
|
}
|
|
|
|
/*
|
|
* The relevant section of the transitions specification:
|
|
* http://dev.w3.org/csswg/css3-transitions/#animation-of-property-types-
|
|
* defers all of the details to the 2-D and 3-D transforms specifications.
|
|
* For the 2-D transforms specification (all that's relevant for us, right
|
|
* now), the relevant section is:
|
|
* http://dev.w3.org/csswg/css3-2d-transforms/#animation
|
|
* This, in turn, refers to the unmatrix program in Graphics Gems,
|
|
* available from http://tog.acm.org/resources/GraphicsGems/ , and in
|
|
* particular as the file GraphicsGems/gemsii/unmatrix.c
|
|
* in http://tog.acm.org/resources/GraphicsGems/AllGems.tar.gz
|
|
*
|
|
* The unmatrix reference is for general 3-D transform matrices (any of the
|
|
* 16 components can have any value).
|
|
*
|
|
* For CSS 2-D transforms, we have a 2-D matrix with the bottom row constant:
|
|
*
|
|
* [ A C E ]
|
|
* [ B D F ]
|
|
* [ 0 0 1 ]
|
|
*
|
|
* For that case, I believe the algorithm in unmatrix reduces to:
|
|
*
|
|
* (1) If A * D - B * C == 0, the matrix is singular. Fail.
|
|
*
|
|
* (2) Set translation components (Tx and Ty) to the translation parts of
|
|
* the matrix (E and F) and then ignore them for the rest of the time.
|
|
* (For us, E and F each actually consist of three constants: a
|
|
* length, a multiplier for the width, and a multiplier for the
|
|
* height. This actually requires its own decomposition, but I'll
|
|
* keep that separate.)
|
|
*
|
|
* (3) Let the X scale (Sx) be sqrt(A^2 + B^2). Then divide both A and B
|
|
* by it.
|
|
*
|
|
* (4) Let the XY shear (K) be A * C + B * D. From C, subtract A times
|
|
* the XY shear. From D, subtract B times the XY shear.
|
|
*
|
|
* (5) Let the Y scale (Sy) be sqrt(C^2 + D^2). Divide C, D, and the XY
|
|
* shear (K) by it.
|
|
*
|
|
* (6) At this point, A * D - B * C is either 1 or -1. If it is -1,
|
|
* negate the XY shear (K), the X scale (Sx), and A, B, C, and D.
|
|
* (Alternatively, we could negate the XY shear (K) and the Y scale
|
|
* (Sy).)
|
|
*
|
|
* (7) Let the rotation be R = atan2(B, A).
|
|
*
|
|
* Then the resulting decomposed transformation is:
|
|
*
|
|
* translate(Tx, Ty) rotate(R) skewX(atan(K)) scale(Sx, Sy)
|
|
*
|
|
* An interesting result of this is that all of the simple transform
|
|
* functions (i.e., all functions other than matrix()), in isolation,
|
|
* decompose back to themselves except for:
|
|
* 'skewY(φ)', which is 'matrix(1, tan(φ), 0, 1, 0, 0)', which decomposes
|
|
* to 'rotate(φ) skewX(φ) scale(sec(φ), cos(φ))' since (ignoring the
|
|
* alternate sign possibilities that would get fixed in step 6):
|
|
* In step 3, the X scale factor is sqrt(1+tan²(φ)) = sqrt(sec²(φ)) = sec(φ).
|
|
* Thus, after step 3, A = 1/sec(φ) = cos(φ) and B = tan(φ) / sec(φ) = sin(φ).
|
|
* In step 4, the XY shear is sin(φ).
|
|
* Thus, after step 4, C = -cos(φ)sin(φ) and D = 1 - sin²(φ) = cos²(φ).
|
|
* Thus, in step 5, the Y scale is sqrt(cos²(φ)(sin²(φ) + cos²(φ)) = cos(φ).
|
|
* Thus, after step 5, C = -sin(φ), D = cos(φ), and the XY shear is tan(φ).
|
|
* Thus, in step 6, A * D - B * C = cos²(φ) + sin²(φ) = 1.
|
|
* In step 7, the rotation is thus φ.
|
|
*
|
|
* skew(θ, φ), which is matrix(1, tan(φ), tan(θ), 1, 0, 0), which decomposes
|
|
* to 'rotate(φ) skewX(θ + φ) scale(sec(φ), cos(φ))' since (ignoring
|
|
* the alternate sign possibilities that would get fixed in step 6):
|
|
* In step 3, the X scale factor is sqrt(1+tan²(φ)) = sqrt(sec²(φ)) = sec(φ).
|
|
* Thus, after step 3, A = 1/sec(φ) = cos(φ) and B = tan(φ) / sec(φ) = sin(φ).
|
|
* In step 4, the XY shear is cos(φ)tan(θ) + sin(φ).
|
|
* Thus, after step 4,
|
|
* C = tan(θ) - cos(φ)(cos(φ)tan(θ) + sin(φ)) = tan(θ)sin²(φ) - cos(φ)sin(φ)
|
|
* D = 1 - sin(φ)(cos(φ)tan(θ) + sin(φ)) = cos²(φ) - sin(φ)cos(φ)tan(θ)
|
|
* Thus, in step 5, the Y scale is sqrt(C² + D²) =
|
|
* sqrt(tan²(θ)(sin⁴(φ) + sin²(φ)cos²(φ)) -
|
|
* 2 tan(θ)(sin³(φ)cos(φ) + sin(φ)cos³(φ)) +
|
|
* (sin²(φ)cos²(φ) + cos⁴(φ))) =
|
|
* sqrt(tan²(θ)sin²(φ) - 2 tan(θ)sin(φ)cos(φ) + cos²(φ)) =
|
|
* cos(φ) - tan(θ)sin(φ) (taking the negative of the obvious solution so
|
|
* we avoid flipping in step 6).
|
|
* After step 5, C = -sin(φ) and D = cos(φ), and the XY shear is
|
|
* (cos(φ)tan(θ) + sin(φ)) / (cos(φ) - tan(θ)sin(φ)) =
|
|
* (dividing both numerator and denominator by cos(φ))
|
|
* (tan(θ) + tan(φ)) / (1 - tan(θ)tan(φ)) = tan(θ + φ).
|
|
* (See http://en.wikipedia.org/wiki/List_of_trigonometric_identities .)
|
|
* Thus, in step 6, A * D - B * C = cos²(φ) + sin²(φ) = 1.
|
|
* In step 7, the rotation is thus φ.
|
|
*
|
|
* To check this result, we can multiply things back together:
|
|
*
|
|
* [ cos(φ) -sin(φ) ] [ 1 tan(θ + φ) ] [ sec(φ) 0 ]
|
|
* [ sin(φ) cos(φ) ] [ 0 1 ] [ 0 cos(φ) ]
|
|
*
|
|
* [ cos(φ) cos(φ)tan(θ + φ) - sin(φ) ] [ sec(φ) 0 ]
|
|
* [ sin(φ) sin(φ)tan(θ + φ) + cos(φ) ] [ 0 cos(φ) ]
|
|
*
|
|
* but since tan(θ + φ) = (tan(θ) + tan(φ)) / (1 - tan(θ)tan(φ)),
|
|
* cos(φ)tan(θ + φ) - sin(φ)
|
|
* = cos(φ)(tan(θ) + tan(φ)) - sin(φ) + sin(φ)tan(θ)tan(φ)
|
|
* = cos(φ)tan(θ) + sin(φ) - sin(φ) + sin(φ)tan(θ)tan(φ)
|
|
* = cos(φ)tan(θ) + sin(φ)tan(θ)tan(φ)
|
|
* = tan(θ) (cos(φ) + sin(φ)tan(φ))
|
|
* = tan(θ) sec(φ) (cos²(φ) + sin²(φ))
|
|
* = tan(θ) sec(φ)
|
|
* and
|
|
* sin(φ)tan(θ + φ) + cos(φ)
|
|
* = sin(φ)(tan(θ) + tan(φ)) + cos(φ) - cos(φ)tan(θ)tan(φ)
|
|
* = tan(θ) (sin(φ) - sin(φ)) + sin(φ)tan(φ) + cos(φ)
|
|
* = sec(φ) (sin²(φ) + cos²(φ))
|
|
* = sec(φ)
|
|
* so the above is:
|
|
* [ cos(φ) tan(θ) sec(φ) ] [ sec(φ) 0 ]
|
|
* [ sin(φ) sec(φ) ] [ 0 cos(φ) ]
|
|
*
|
|
* [ 1 tan(θ) ]
|
|
* [ tan(φ) 1 ]
|
|
*/
|
|
|
|
/*
|
|
* Decompose2DMatrix implements the above decomposition algorithm.
|
|
*/
|
|
|
|
bool
|
|
Decompose2DMatrix(const Matrix& aMatrix,
|
|
Point3D& aScale,
|
|
ShearArray& aShear,
|
|
gfxQuaternion& aRotate,
|
|
Point3D& aTranslate)
|
|
{
|
|
float A = aMatrix._11,
|
|
B = aMatrix._12,
|
|
C = aMatrix._21,
|
|
D = aMatrix._22;
|
|
if (A * D == B * C) {
|
|
// singular matrix
|
|
return false;
|
|
}
|
|
|
|
float scaleX = sqrt(A * A + B * B);
|
|
A /= scaleX;
|
|
B /= scaleX;
|
|
|
|
float XYshear = A * C + B * D;
|
|
C -= A * XYshear;
|
|
D -= B * XYshear;
|
|
|
|
float scaleY = sqrt(C * C + D * D);
|
|
C /= scaleY;
|
|
D /= scaleY;
|
|
XYshear /= scaleY;
|
|
|
|
float determinant = A * D - B * C;
|
|
// Determinant should now be 1 or -1.
|
|
if (0.99 > Abs(determinant) || Abs(determinant) > 1.01) {
|
|
return false;
|
|
}
|
|
|
|
if (determinant < 0) {
|
|
A = -A;
|
|
B = -B;
|
|
C = -C;
|
|
D = -D;
|
|
XYshear = -XYshear;
|
|
scaleX = -scaleX;
|
|
}
|
|
|
|
float rotate = atan2f(B, A);
|
|
aRotate = gfxQuaternion(0, 0, sin(rotate/2), cos(rotate/2));
|
|
aShear[ShearType::XYSHEAR] = XYshear;
|
|
aScale.x = scaleX;
|
|
aScale.y = scaleY;
|
|
aTranslate.x = aMatrix._31;
|
|
aTranslate.y = aMatrix._32;
|
|
return true;
|
|
}
|
|
|
|
/**
|
|
* Implementation of the unmatrix algorithm, specified by:
|
|
*
|
|
* http://dev.w3.org/csswg/css3-2d-transforms/#unmatrix
|
|
*
|
|
* This, in turn, refers to the unmatrix program in Graphics Gems,
|
|
* available from http://tog.acm.org/resources/GraphicsGems/ , and in
|
|
* particular as the file GraphicsGems/gemsii/unmatrix.c
|
|
* in http://tog.acm.org/resources/GraphicsGems/AllGems.tar.gz
|
|
*/
|
|
bool
|
|
Decompose3DMatrix(const Matrix4x4& aMatrix,
|
|
Point3D& aScale,
|
|
ShearArray& aShear,
|
|
gfxQuaternion& aRotate,
|
|
Point3D& aTranslate,
|
|
Point4D& aPerspective)
|
|
{
|
|
Matrix4x4 local = aMatrix;
|
|
|
|
if (local[3][3] == 0) {
|
|
return false;
|
|
}
|
|
/* Normalize the matrix */
|
|
local.Normalize();
|
|
|
|
/**
|
|
* perspective is used to solve for perspective, but it also provides
|
|
* an easy way to test for singularity of the upper 3x3 component.
|
|
*/
|
|
Matrix4x4 perspective = local;
|
|
Point4D empty(0, 0, 0, 1);
|
|
perspective.SetTransposedVector(3, empty);
|
|
|
|
if (perspective.Determinant() == 0.0) {
|
|
return false;
|
|
}
|
|
|
|
/* First, isolate perspective. */
|
|
if (local[0][3] != 0 || local[1][3] != 0 ||
|
|
local[2][3] != 0) {
|
|
/* aPerspective is the right hand side of the equation. */
|
|
aPerspective = local.TransposedVector(3);
|
|
|
|
/**
|
|
* Solve the equation by inverting perspective and multiplying
|
|
* aPerspective by the inverse.
|
|
*/
|
|
perspective.Invert();
|
|
aPerspective = perspective.TransposeTransform4D(aPerspective);
|
|
|
|
/* Clear the perspective partition */
|
|
local.SetTransposedVector(3, empty);
|
|
} else {
|
|
aPerspective = Point4D(0, 0, 0, 1);
|
|
}
|
|
|
|
/* Next take care of translation */
|
|
for (int i = 0; i < 3; i++) {
|
|
aTranslate[i] = local[3][i];
|
|
local[3][i] = 0;
|
|
}
|
|
|
|
/* Now get scale and shear. */
|
|
|
|
/* Compute X scale factor and normalize first row. */
|
|
aScale.x = local[0].Length();
|
|
local[0] /= aScale.x;
|
|
|
|
/* Compute XY shear factor and make 2nd local orthogonal to 1st. */
|
|
aShear[ShearType::XYSHEAR] = local[0].DotProduct(local[1]);
|
|
local[1] -= local[0] * aShear[ShearType::XYSHEAR];
|
|
|
|
/* Now, compute Y scale and normalize 2nd local. */
|
|
aScale.y = local[1].Length();
|
|
local[1] /= aScale.y;
|
|
aShear[ShearType::XYSHEAR] /= aScale.y;
|
|
|
|
/* Compute XZ and YZ shears, make 3rd local orthogonal */
|
|
aShear[ShearType::XZSHEAR] = local[0].DotProduct(local[2]);
|
|
local[2] -= local[0] * aShear[ShearType::XZSHEAR];
|
|
aShear[ShearType::YZSHEAR] = local[1].DotProduct(local[2]);
|
|
local[2] -= local[1] * aShear[ShearType::YZSHEAR];
|
|
|
|
/* Next, get Z scale and normalize 3rd local. */
|
|
aScale.z = local[2].Length();
|
|
local[2] /= aScale.z;
|
|
|
|
aShear[ShearType::XZSHEAR] /= aScale.z;
|
|
aShear[ShearType::YZSHEAR] /= aScale.z;
|
|
|
|
/**
|
|
* At this point, the matrix (in locals) is orthonormal.
|
|
* Check for a coordinate system flip. If the determinant
|
|
* is -1, then negate the matrix and the scaling factors.
|
|
*/
|
|
if (local[0].DotProduct(local[1].CrossProduct(local[2])) < 0) {
|
|
aScale *= -1;
|
|
for (int i = 0; i < 3; i++) {
|
|
local[i] *= -1;
|
|
}
|
|
}
|
|
|
|
/* Now, get the rotations out */
|
|
aRotate = gfxQuaternion(local);
|
|
|
|
return true;
|
|
}
|
|
|
|
Matrix
|
|
CSSValueArrayTo2DMatrix(nsCSSValue::Array* aArray)
|
|
{
|
|
MOZ_ASSERT(aArray &&
|
|
TransformFunctionOf(aArray) == eCSSKeyword_matrix &&
|
|
aArray->Count() == 7);
|
|
Matrix m(aArray->Item(1).GetFloatValue(),
|
|
aArray->Item(2).GetFloatValue(),
|
|
aArray->Item(3).GetFloatValue(),
|
|
aArray->Item(4).GetFloatValue(),
|
|
aArray->Item(5).GetFloatValue(),
|
|
aArray->Item(6).GetFloatValue());
|
|
return m;
|
|
}
|
|
|
|
Matrix4x4
|
|
CSSValueArrayTo3DMatrix(nsCSSValue::Array* aArray)
|
|
{
|
|
MOZ_ASSERT(aArray &&
|
|
TransformFunctionOf(aArray) == eCSSKeyword_matrix3d &&
|
|
aArray->Count() == 17);
|
|
gfx::Float array[16];
|
|
for (size_t i = 0; i < 16; ++i) {
|
|
array[i] = aArray->Item(i+1).GetFloatValue();
|
|
}
|
|
Matrix4x4 m(array);
|
|
return m;
|
|
}
|
|
|
|
Size
|
|
GetScaleValue(const nsCSSValueSharedList* aList,
|
|
const nsIFrame* aForFrame)
|
|
{
|
|
MOZ_ASSERT(aList && aList->mHead);
|
|
MOZ_ASSERT(aForFrame);
|
|
|
|
RuleNodeCacheConditions dontCare;
|
|
bool dontCareBool;
|
|
TransformReferenceBox refBox(aForFrame);
|
|
Matrix4x4 transform = ReadTransforms(
|
|
aList->mHead,
|
|
aForFrame->StyleContext(),
|
|
aForFrame->PresContext(), dontCare, refBox,
|
|
aForFrame->PresContext()->AppUnitsPerDevPixel(),
|
|
&dontCareBool);
|
|
Matrix transform2d;
|
|
bool canDraw2D = transform.CanDraw2D(&transform2d);
|
|
if (!canDraw2D) {
|
|
return Size();
|
|
}
|
|
|
|
return transform2d.ScaleFactors(true);
|
|
}
|
|
|
|
} // namespace nsStyleTransformMatrix
|