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Text layout - first part
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commit
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@ -55,6 +55,7 @@ SOURCES += \
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sources/pdfpattern.cpp \
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sources/pdfprogress.cpp \
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sources/pdfsecurityhandler.cpp \
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sources/pdftextlayout.cpp \
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sources/pdfutils.cpp \
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sources/pdfxreftable.cpp \
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sources/pdfvisitor.cpp \
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@ -98,6 +99,7 @@ HEADERS += \
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sources/pdfpattern.h \
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sources/pdfprogress.h \
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sources/pdfsecurityhandler.h \
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sources/pdftextlayout.h \
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sources/pdfxreftable.h \
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sources/pdfflatmap.h \
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sources/pdfvisitor.h \
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@ -397,7 +397,7 @@ private:
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struct Glyph
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{
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QPainterPath glyph;
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PDFReal advance;
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PDFReal advance = 0.0;
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};
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static int outlineMoveTo(const FT_Vector* to, void* user);
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@ -387,6 +387,11 @@ void PDFPageContentProcessor::performEndTransparencyGroup(ProcessOrder order, co
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Q_UNUSED(transparencyGroup);
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}
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void PDFPageContentProcessor::performOutputCharacter(const PDFTextCharacterInfo& info)
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{
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Q_UNUSED(info);
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}
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bool PDFPageContentProcessor::isContentSuppressed() const
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{
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return std::any_of(m_markedContentStack.cbegin(), m_markedContentStack.cend(), [](const MarkedContentState& state) { return state.contentSuppressed; });
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@ -2893,13 +2898,26 @@ void PDFPageContentProcessor::drawText(const TextSequence& textSequence)
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if (!glyphPath.isEmpty())
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{
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QMatrix textRenderingMatrix = adjustMatrix * textMatrix;
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QMatrix toDeviceSpaceTransform = textRenderingMatrix * m_graphicState.getCurrentTransformationMatrix();
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QPainterPath transformedGlyph = textRenderingMatrix.map(glyphPath);
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processPathPainting(transformedGlyph, stroke, fill, true, transformedGlyph.fillRule());
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if (!item.character.isNull() && !item.character.isSpace())
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{
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// Output character
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PDFTextCharacterInfo info;
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info.character = item.character;
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info.isVerticalWritingSystem = !isHorizontalWritingSystem;
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info.advance = item.advance;
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info.fontSize = fontSize;
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info.outline = glyphPath;
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info.matrix = toDeviceSpaceTransform;
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performOutputCharacter(info);
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}
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if (clipped)
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{
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// Clipping is enabled, we must transform to the device coordinates
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QMatrix toDeviceSpaceTransform = textRenderingMatrix * m_graphicState.getCurrentTransformationMatrix();
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m_textClippingPath = m_textClippingPath.united(toDeviceSpaceTransform.map(glyphPath));
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}
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}
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@ -2970,6 +2988,18 @@ void PDFPageContentProcessor::drawText(const TextSequence& textSequence)
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updateGraphicState();
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processContent(*item.characterContentStream);
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if (!item.character.isNull() && !item.character.isSpace())
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{
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// Output character
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PDFTextCharacterInfo info;
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info.character = item.character;
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info.isVerticalWritingSystem = !isHorizontalWritingSystem;
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info.advance = item.advance;
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info.fontSize = fontSize;
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info.matrix = worldMatrix;
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performOutputCharacter(info);
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}
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}
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textMatrix.translate(displacementX, 0.0);
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@ -25,6 +25,7 @@
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#include "pdfutils.h"
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#include "pdfmeshqualitysettings.h"
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#include "pdfblendfunction.h"
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#include "pdftextlayout.h"
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#include <QMatrix>
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#include <QPainterPath>
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@ -489,6 +490,9 @@ protected:
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/// \param transparencyGroup Transparency group
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virtual void performEndTransparencyGroup(ProcessOrder order, const PDFTransparencyGroup& transparencyGroup);
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/// Implement to react on character printing
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virtual void performOutputCharacter(const PDFTextCharacterInfo& info);
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/// Returns current graphic state
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const PDFPageContentProcessorState* getGraphicState() const { return &m_graphicState; }
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@ -447,6 +447,11 @@ void PDFPrecompiledPageGenerator::setCompositionMode(QPainter::CompositionMode m
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m_precompiledPage->addSetCompositionMode(mode);
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}
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void PDFPrecompiledPageGenerator::performOutputCharacter(const PDFTextCharacterInfo& info)
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{
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m_precompiledPage->addCharacter(info);
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}
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void PDFPrecompiledPage::draw(QPainter* painter, const QRectF& cropBox, const QMatrix& pagePointToDevicePointMatrix, PDFRenderer::Features features) const
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{
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Q_ASSERT(painter);
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@ -600,6 +605,16 @@ void PDFPrecompiledPage::addSetCompositionMode(QPainter::CompositionMode composi
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m_compositionModes.push_back(compositionMode);
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}
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void PDFPrecompiledPage::addCharacter(const PDFTextCharacterInfo& info)
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{
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m_textLayout.addCharacter(info);
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}
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void PDFPrecompiledPage::createTextLayout()
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{
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m_textLayout.perform();
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}
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void PDFPrecompiledPage::optimize()
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{
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m_instructions.shrink_to_fit();
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@ -609,6 +624,7 @@ void PDFPrecompiledPage::optimize()
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m_meshes.shrink_to_fit();
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m_matrices.shrink_to_fit();
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m_compositionModes.shrink_to_fit();
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m_textLayout.optimize();
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}
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void PDFPrecompiledPage::finalize(qint64 compilingTimeNS, QList<PDFRenderError> errors)
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@ -651,6 +667,8 @@ void PDFPrecompiledPage::finalize(qint64 compilingTimeNS, QList<PDFRenderError>
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{
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m_memoryConsumptionEstimate += data.mesh.getMemoryConsumptionEstimate();
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}
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m_memoryConsumptionEstimate += m_textLayout.getMemoryConsumptionEstimate();
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}
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} // namespace pdf
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@ -22,6 +22,7 @@
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#include "pdfpattern.h"
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#include "pdfrenderer.h"
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#include "pdfpagecontentprocessor.h"
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#include "pdftextlayout.h"
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#include <QPen>
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#include <QBrush>
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@ -191,6 +192,10 @@ public:
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void addRestoreGraphicState() { m_instructions.emplace_back(InstructionType::RestoreGraphicState, 0); }
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void addSetWorldMatrix(const QMatrix& matrix);
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void addSetCompositionMode(QPainter::CompositionMode compositionMode);
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void addCharacter(const PDFTextCharacterInfo& info);
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/// Creates text layout for the page
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void createTextLayout();
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/// Optimizes page memory allocation to contain less space
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void optimize();
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@ -279,6 +284,7 @@ private:
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std::vector<QMatrix> m_matrices;
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std::vector<QPainter::CompositionMode> m_compositionModes;
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QList<PDFRenderError> m_errors;
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PDFTextLayout m_textLayout;
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};
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/// Processor, which processes PDF's page commands and writes them to the precompiled page.
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@ -311,6 +317,7 @@ protected:
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virtual void performRestoreGraphicState(ProcessOrder order) override;
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virtual void setWorldMatrix(const QMatrix& matrix) override;
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virtual void setCompositionMode(QPainter::CompositionMode mode) override;
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virtual void performOutputCharacter(const PDFTextCharacterInfo& info) override;
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private:
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PDFPrecompiledPage* m_precompiledPage;
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@ -145,6 +145,7 @@ void PDFRenderer::compile(PDFPrecompiledPage* precompiledPage, size_t pageIndex)
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PDFPrecompiledPageGenerator generator(precompiledPage, m_features, page, m_document, m_fontCache, m_cms, m_optionalContentActivity, m_meshQualitySettings);
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QList<PDFRenderError> errors = generator.processContents();
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precompiledPage->optimize();
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precompiledPage->createTextLayout();
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precompiledPage->finalize(timer.nsecsElapsed(), qMove(errors));
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timer.invalidate();
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}
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281
PdfForQtLib/sources/pdftextlayout.cpp
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281
PdfForQtLib/sources/pdftextlayout.cpp
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@ -0,0 +1,281 @@
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// Copyright (C) 2019 Jakub Melka
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//
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// This file is part of PdfForQt.
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//
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// PdfForQt is free software: you can redistribute it and/or modify
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// it under the terms of the GNU Lesser General Public License as published by
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// the Free Software Foundation, either version 3 of the License, or
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// (at your option) any later version.
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//
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// PdfForQt is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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// GNU Lesser General Public License for more details.
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//
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// You should have received a copy of the GNU Lesser General Public License
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// along with PDFForQt. If not, see <https://www.gnu.org/licenses/>.
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#include "pdftextlayout.h"
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#include "pdfutils.h"
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#include <execution>
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namespace pdf
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{
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PDFTextLayout::PDFTextLayout()
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{
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}
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void PDFTextLayout::addCharacter(const PDFTextCharacterInfo& info)
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{
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TextCharacter character;
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// Fill the basic info. For computing the angle, we must consider, if we are
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// in vertical writing system. If yes, take vertical edge of the character,
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// otherwise take horizontal edge.
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character.character = info.character;
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character.position = info.matrix.map(QPointF(0.0, 0.0));
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QLineF testLine(QPointF(0.0, 0.0), QPointF(info.isVerticalWritingSystem ? 0.0 : info.advance, !info.isVerticalWritingSystem ? 0.0 : info.advance));
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QLineF mappedLine = info.matrix.map(testLine);
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character.advance = mappedLine.length();
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character.angle = qRound(mappedLine.angle());
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QLineF fontTestLine(QPointF(0.0, 0.0), QPointF(0.0, info.fontSize));
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QLineF fontMappedLine = info.matrix.map(fontTestLine);
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character.fontSize = fontMappedLine.length();
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QRectF boundingBox = info.outline.boundingRect();
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character.boundingBox.addPolygon(info.matrix.map(boundingBox));
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m_characters.emplace_back(qMove(character));
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m_angles.insert(character.angle);
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}
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void PDFTextLayout::perform()
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{
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for (PDFReal angle : m_angles)
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{
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performDoLayout(angle);
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}
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}
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void PDFTextLayout::optimize()
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{
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m_characters.shrink_to_fit();
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}
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qint64 PDFTextLayout::getMemoryConsumptionEstimate() const
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{
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qint64 estimate = sizeof(*this);
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estimate += sizeof(decltype(m_characters)::value_type) * m_characters.capacity();
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estimate += sizeof(decltype(m_angles)::value_type) * m_angles.size();
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return estimate;
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}
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void PDFTextLayout::performDoLayout(PDFReal angle)
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{
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// We will implement variation of 'docstrum' algorithm, we have divided characters by angles,
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// for each angle we get characters for that particular angle, and run 'docstrum' algorithm.
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// We will do following steps:
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// 1) Rotate the plane with characters so that they are all in horizontal line
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// 2) Find k-nearest characters for each character (so each character will have
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// k pointers to the nearest characters)
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// 3) Find text lines. We will do that by creating transitive closure of characters, i.e.
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// characters, which are close and are on horizontal line, are marked as in one text line.
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// Consider also font size and empty space size between different characters.
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// 4) Merge text lines into text blocks using various criteria, such as overlap,
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// distance between the lines, and also using again, transitive closure.
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// 5) Sort blocks using topological ordering
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TextCharacters characters = getCharactersForAngle(angle);
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// Step 1) - rotate blocks
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QMatrix angleMatrix;
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angleMatrix.rotate(angle);
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applyTransform(characters, angleMatrix);
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// Step 2) - find k-nearest characters
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struct NearestCharacterInfo
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{
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size_t index = std::numeric_limits<size_t>::max();
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PDFReal distance = std::numeric_limits<PDFReal>::infinity();
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inline bool operator<(const NearestCharacterInfo& other) const { return distance < other.distance; }
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};
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const size_t characterCount = characters.size();
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const size_t bucketSize = m_settings.samples + 1;
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std::vector<NearestCharacterInfo> nearestCharacters(bucketSize * characters.size(), NearestCharacterInfo());
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auto findNearestCharacters = [&](size_t currentCharacterIndex)
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{
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// It will be iterator to the start of the nearest neighbour sequence
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auto it = std::next(nearestCharacters.begin(), currentCharacterIndex * bucketSize);
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auto itLast = std::next(it, m_settings.samples);
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NearestCharacterInfo& insertInfo = *itLast;
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QPointF currentPoint = characters[currentCharacterIndex].position;
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for (size_t i = 0; i < characterCount; ++i)
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{
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if (i == currentCharacterIndex)
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{
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continue;
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}
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insertInfo.index = i;
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insertInfo.distance = QLineF(currentPoint, characters[i].position).length();
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// Now, use insert sort to sort the array of samples + 1 elements (#samples elements
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// are sorted, we use only insert sort on the last element).
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auto itInsert = std::upper_bound(it, itLast, *itLast);
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std::rotate(itInsert, itLast, itLast + 1);
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}
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};
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auto range = PDFIntegerRange<size_t>(0, characterCount);
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std::for_each(std::execution::parallel_policy(), range.begin(), range.end(), findNearestCharacters);
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// Step 3) - detect lines
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PDFUnionFindAlgorithm<size_t> textLinesUF(characterCount);
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for (size_t i = 0; i < characterCount; ++i)
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{
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auto it = std::next(nearestCharacters.begin(), i * bucketSize);
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auto itEnd = std::next(it, m_settings.samples);
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for (; it != itEnd; ++it)
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{
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const NearestCharacterInfo& info = *it;
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if (info.index == std::numeric_limits<size_t>::max())
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{
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// We have reached the end - or we do not have enough characters
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break;
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}
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// Criteria:
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// 1) Distance of characters is not too large
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// 2) Characters are approximately at same line
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// 3) Font size of characters are approximately equal
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PDFReal fontSizeMax = qMax(characters[i].fontSize, characters[info.index].fontSize);
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PDFReal fontSizeMin = qMin(characters[i].fontSize, characters[info.index].fontSize);
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if (info.distance < m_settings.distanceSensitivity * characters[i].advance && // 1)
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std::fabs(characters[i].position.y() - characters[info.index].position.y()) < fontSizeMin * m_settings.charactersOnLineSensitivity && // 2)
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fontSizeMax / fontSizeMin < m_settings.fontSensitivity) // 3)
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{
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textLinesUF.unify(i, info.index);
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}
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}
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}
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std::map<size_t, TextCharacters> lineToCharactersMap;
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for (size_t i = 0; i < characterCount; ++i)
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{
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lineToCharactersMap[textLinesUF.find(i)].push_back(characters[i]);
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}
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PDFTextLines lines;
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lines.reserve(lineToCharactersMap.size());
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for (auto& item : lineToCharactersMap)
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{
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lines.emplace_back(qMove(item.second));
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}
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// Step 4) - detect text blocks
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const size_t lineCount = lines.size();
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PDFUnionFindAlgorithm<size_t> textBlocksUF(lineCount);
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for (size_t i = 0; i < lineCount; ++i)
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{
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for (size_t j = i + 1; j < lineCount; ++j)
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{
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QRectF bb1 = lines[i].getBoundingBox().boundingRect();
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QRectF bb2 = lines[j].getBoundingBox().boundingRect();
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// Jakub Melka: we will join two blocks, if these two conditions both holds:
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// 1) bounding boxes overlap horizontally by large portion
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// 2) vertical space between bounding boxes is not too large
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QRectF bbUnion = bb1.united(bb2);
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const PDFReal height = bbUnion.height();
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const PDFReal heightLimit = (bb1.height() + bb2.height()) * m_settings.blockVerticalSensitivity;
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const PDFReal overlap = qMax(0.0, bb1.width() + bb2.width() - bbUnion.width());
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const PDFReal minimalOverlap = qMin(bb1.width(), bb2.width()) * m_settings.blockOverlapSensitivity;
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if (height < heightLimit && overlap > minimalOverlap)
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{
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textBlocksUF.unify(i, j);
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}
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}
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}
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std::map<size_t, PDFTextLines> blockToLines;
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for (size_t i = 0; i < lineCount; ++i)
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{
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blockToLines[textBlocksUF.find(i)].push_back(qMove(lines[i]));
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}
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PDFTextBlocks blocks;
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blocks.reserve(blockToLines.size());
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for (auto& item : blockToLines)
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{
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blocks.emplace_back(qMove(item.second));
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}
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// Transform blocks back to original coordinate system
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volatile int i = 0;
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}
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TextCharacters PDFTextLayout::getCharactersForAngle(PDFReal angle) const
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{
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TextCharacters result;
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std::copy_if(m_characters.cbegin(), m_characters.cend(), std::back_inserter(result), [angle](const TextCharacter& character) { return character.angle == angle; });
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return result;
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}
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void PDFTextLayout::applyTransform(TextCharacters& characters, const QMatrix& matrix)
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{
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for (TextCharacter& character : characters)
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{
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character.position = matrix.map(character.position);
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character.boundingBox = matrix.map(character.boundingBox);
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}
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}
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PDFTextLine::PDFTextLine(TextCharacters characters) :
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m_characters(qMove(characters))
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{
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std::sort(m_characters.begin(), m_characters.end(), [](const TextCharacter& l, const TextCharacter& r) { return l.position.x() < r.position.x(); });
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QRectF boundingBox;
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for (const TextCharacter& character : m_characters)
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{
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boundingBox = boundingBox.united(character.boundingBox.boundingRect());
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}
|
||||
m_boundingBox.addRect(boundingBox);
|
||||
}
|
||||
|
||||
PDFTextBlock::PDFTextBlock(PDFTextLines textLines) :
|
||||
m_lines(qMove(textLines))
|
||||
{
|
||||
auto sortFunction = [](const PDFTextLine& l, const PDFTextLine& r)
|
||||
{
|
||||
QRectF bl = l.getBoundingBox().boundingRect();
|
||||
QRectF br = r.getBoundingBox().boundingRect();
|
||||
const PDFReal xL = bl.x();
|
||||
const PDFReal xR = br.x();
|
||||
const PDFReal yL = qRound(bl.y() * 100.0);
|
||||
const PDFReal yR = qRound(br.y() * 100.0);
|
||||
return std::tie(yL, xL) < std::tie(yR, xR);
|
||||
};
|
||||
std::sort(m_lines.begin(), m_lines.end(), sortFunction);
|
||||
|
||||
QRectF boundingBox;
|
||||
for (const PDFTextLine& line : m_lines)
|
||||
{
|
||||
boundingBox = boundingBox.united(line.getBoundingBox().boundingRect());
|
||||
}
|
||||
m_boundingBox.addRect(boundingBox);
|
||||
}
|
||||
|
||||
} // namespace pdf
|
170
PdfForQtLib/sources/pdftextlayout.h
Normal file
170
PdfForQtLib/sources/pdftextlayout.h
Normal file
@ -0,0 +1,170 @@
|
||||
// Copyright (C) 2019 Jakub Melka
|
||||
//
|
||||
// This file is part of PdfForQt.
|
||||
//
|
||||
// PdfForQt is free software: you can redistribute it and/or modify
|
||||
// it under the terms of the GNU Lesser General Public License as published by
|
||||
// the Free Software Foundation, either version 3 of the License, or
|
||||
// (at your option) any later version.
|
||||
//
|
||||
// PdfForQt is distributed in the hope that it will be useful,
|
||||
// but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||
// GNU Lesser General Public License for more details.
|
||||
//
|
||||
// You should have received a copy of the GNU Lesser General Public License
|
||||
// along with PDFForQt. If not, see <https://www.gnu.org/licenses/>.
|
||||
|
||||
#ifndef PDFTEXTLAYOUT_H
|
||||
#define PDFTEXTLAYOUT_H
|
||||
|
||||
#include "pdfglobal.h"
|
||||
|
||||
#include <QPainterPath>
|
||||
|
||||
#include <set>
|
||||
|
||||
namespace pdf
|
||||
{
|
||||
|
||||
struct PDFTextCharacterInfo
|
||||
{
|
||||
/// Character
|
||||
QChar character;
|
||||
|
||||
/// Character path
|
||||
QPainterPath outline;
|
||||
|
||||
/// Do we use a vertical writing system?
|
||||
bool isVerticalWritingSystem = false;
|
||||
|
||||
/// Advance (in character space, it must be translated
|
||||
/// into device space), for both vertical/horizontal modes.
|
||||
PDFReal advance = 0.0;
|
||||
|
||||
/// Font size (in character space, it must be translated
|
||||
/// into device space)
|
||||
PDFReal fontSize = 0.0;
|
||||
|
||||
/// Transformation matrix from character space to device space
|
||||
QMatrix matrix;
|
||||
};
|
||||
|
||||
struct PDFTextLayoutSettings
|
||||
{
|
||||
/// Number of samples for 'docstrum' algorithm, i.e. number of
|
||||
/// nearest characters. By default, 5 characters should fit.
|
||||
size_t samples = 5;
|
||||
|
||||
/// Distance sensitivity to determine, if characters are close enough.
|
||||
/// Maximal distance is computed as current character advance multiplied
|
||||
/// by this constant.
|
||||
PDFReal distanceSensitivity = 4.0;
|
||||
|
||||
/// Maximal vertical distance, in portion of font size, of two characters
|
||||
/// to be considered they lie on same line.
|
||||
PDFReal charactersOnLineSensitivity = 0.25;
|
||||
|
||||
/// Maximal ratio between font size of characters to be considered
|
||||
/// that they lie on same line.
|
||||
PDFReal fontSensitivity = 2.0;
|
||||
|
||||
/// Maximal space ratio between two lines of block. Default coefficient
|
||||
/// means, that height ratio limit is (height1 + height2)
|
||||
PDFReal blockVerticalSensitivity = 1.5;
|
||||
|
||||
/// Minimal horizontal overlap for two lines considered to be in one block
|
||||
PDFReal blockOverlapSensitivity = 0.3;
|
||||
};
|
||||
|
||||
/// Represents character in device space coordinates. All values (dimensions,
|
||||
/// bounding box, etc. are in device space coordinates).
|
||||
struct TextCharacter
|
||||
{
|
||||
QChar character;
|
||||
QPointF position;
|
||||
PDFReal angle = 0.0;
|
||||
PDFReal fontSize = 0.0;
|
||||
PDFReal advance = 0.0;
|
||||
QPainterPath boundingBox;
|
||||
};
|
||||
|
||||
using TextCharacters = std::vector<TextCharacter>;
|
||||
|
||||
/// Represents text line consisting of set of characters and line bounding box.
|
||||
class PDFTextLine
|
||||
{
|
||||
public:
|
||||
/// Construct new line from characters. Characters are sorted in x-coordinate
|
||||
/// and bounding box is computed.
|
||||
/// \param characters
|
||||
explicit PDFTextLine(TextCharacters characters);
|
||||
|
||||
const TextCharacters& getCharacters() const { return m_characters; }
|
||||
const QPainterPath& getBoundingBox() const { return m_boundingBox; }
|
||||
|
||||
private:
|
||||
TextCharacters m_characters;
|
||||
QPainterPath m_boundingBox;
|
||||
};
|
||||
|
||||
using PDFTextLines = std::vector<PDFTextLine>;
|
||||
|
||||
/// Represents text block consisting of set of lines and block bounding box.
|
||||
class PDFTextBlock
|
||||
{
|
||||
public:
|
||||
explicit inline PDFTextBlock(PDFTextLines textLines);
|
||||
|
||||
const PDFTextLines& getLines() const { return m_lines; }
|
||||
const QPainterPath& getBoundingBox() const { return m_boundingBox; }
|
||||
|
||||
private:
|
||||
PDFTextLines m_lines;
|
||||
QPainterPath m_boundingBox;
|
||||
};
|
||||
|
||||
using PDFTextBlocks = std::vector<PDFTextBlock>;
|
||||
|
||||
/// Text layout of single page. Can handle various fonts, various angles of lines
|
||||
/// and vertically oriented text. It performs the "docstrum" algorithm.
|
||||
class PDFTextLayout
|
||||
{
|
||||
public:
|
||||
explicit PDFTextLayout();
|
||||
|
||||
/// Adds character to the layout
|
||||
void addCharacter(const PDFTextCharacterInfo& info);
|
||||
|
||||
/// Perorms text layout algorithm
|
||||
void perform();
|
||||
|
||||
/// Optimizes layout memory allocation to contain less space
|
||||
void optimize();
|
||||
|
||||
/// Returns estimate of number of bytes, which this mesh occupies in memory
|
||||
qint64 getMemoryConsumptionEstimate() const;
|
||||
|
||||
private:
|
||||
|
||||
/// Makes layout for particular angle
|
||||
void performDoLayout(PDFReal angle);
|
||||
|
||||
/// Returns a list of characters for particular angle. Exact match is used
|
||||
/// for angle, even if angle is floating point number.
|
||||
/// \param angle Angle
|
||||
TextCharacters getCharactersForAngle(PDFReal angle) const;
|
||||
|
||||
/// Applies transform to text characters (positions and bounding boxes)
|
||||
/// \param characters Characters
|
||||
/// \param matrix Transform matrix
|
||||
void applyTransform(TextCharacters& characters, const QMatrix& matrix);
|
||||
|
||||
TextCharacters m_characters;
|
||||
std::set<PDFReal> m_angles;
|
||||
PDFTextLayoutSettings m_settings;
|
||||
};
|
||||
|
||||
} // namespace pdf
|
||||
|
||||
#endif // PDFTEXTLAYOUT_H
|
@ -362,6 +362,51 @@ public:
|
||||
static std::vector<PDFDependentLibraryInfo> getLibraryInfo();
|
||||
};
|
||||
|
||||
/// Union-find algorithm, which uses path compression optimization. It can run in time
|
||||
/// O(n + f * (1 + log(n)/log(2 + f/n)), where n is number of unions (resp. size of the
|
||||
/// array) and f is number of find operations.
|
||||
template<typename T>
|
||||
class PDFUnionFindAlgorithm
|
||||
{
|
||||
public:
|
||||
explicit PDFUnionFindAlgorithm(T size)
|
||||
{
|
||||
m_indices.resize(size, T(0));
|
||||
std::iota(m_indices.begin(), m_indices.end(), 0);
|
||||
}
|
||||
|
||||
T find(T index)
|
||||
{
|
||||
// Use path compression optimization. We assume we will not
|
||||
// have long paths, so we will use simple recursion and
|
||||
// not while cycle.
|
||||
if (m_indices[index] != index)
|
||||
{
|
||||
m_indices[index] = find(m_indices[index]);
|
||||
}
|
||||
|
||||
return m_indices[index];
|
||||
}
|
||||
|
||||
void unify(T x, T y)
|
||||
{
|
||||
T xRoot = find(x);
|
||||
T yRoot = find(y);
|
||||
|
||||
if (xRoot < yRoot)
|
||||
{
|
||||
m_indices[yRoot] = xRoot;
|
||||
}
|
||||
else if (xRoot > yRoot)
|
||||
{
|
||||
m_indices[xRoot] = yRoot;
|
||||
}
|
||||
}
|
||||
|
||||
private:
|
||||
std::vector<T> m_indices;
|
||||
};
|
||||
|
||||
} // namespace pdf
|
||||
|
||||
#endif // PDFUTILS_H
|
||||
|
Loading…
x
Reference in New Issue
Block a user