qfontengine_ft.cpp

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// Copyright (C) 2021 The Qt Company Ltd.
// SPDX-License-Identifier: LicenseRef-Qt-Commercial OR LGPL-3.0-only OR GPL-2.0-only OR GPL-3.0-only
// Qt-Security score:critical reason:data-parser
 
#include "qdir.h"
#include "qmetatype.h"
#include "qtextstream.h"
#include "qvariant.h"
#include "qfontengine_ft_p.h"
#include "private/qfontdatabase_p.h"
#include "private/qimage_p.h"
#include <private/qstringiterator_p.h>
#include <qguiapplication.h>
#include <qscreen.h>
#include <qpa/qplatformscreen.h>
#include <QtCore/QUuid>
#include <QtCore/QLoggingCategory>
#include <QtGui/QPainterPath>
 
#ifndef QT_NO_FREETYPE
 
#include "qfile.h"
#include "qfileinfo.h"
#include <qscopedvaluerollback.h>
#include "qthreadstorage.h"
#include <qmath.h>
#include <qendian.h>
#include <private/qcolrpaintgraphrenderer_p.h>
 
#include <memory>
 
#include <ft2build.h>
#include FT_FREETYPE_H
#include FT_OUTLINE_H
#include FT_SYNTHESIS_H
#include FT_TRUETYPE_TABLES_H
#include FT_TYPE1_TABLES_H
#include FT_GLYPH_H
#include FT_MODULE_H
#include FT_LCD_FILTER_H
#include FT_MULTIPLE_MASTERS_H
 
#if defined(FT_CONFIG_OPTIONS_H)
#include FT_CONFIG_OPTIONS_H
#endif
 
#if defined(FT_FONT_FORMATS_H)
#include FT_FONT_FORMATS_H
#endif
 
#ifdef QT_LINUXBASE
#include FT_ERRORS_H
#endif
 
QT_BEGIN_NAMESPACE
 
using namespace Qt::StringLiterals;
 
#define FLOOR(x)    ((x) & -64)
#define CEIL(x)     (((x)+63) & -64)
#define TRUNC(x)    ((x) >> 6)
#define ROUND(x)    (((x)+32) & -64)
 
static bool ft_getSfntTable(void *user_data, uint tag, uchar *buffer, uint *length)
{
    FT_Face face = (FT_Face)user_data;
 
    bool result = false;
    if (FT_IS_SFNT(face)) {
        FT_ULong len = *length;
        result = FT_Load_Sfnt_Table(face, tag, 0, buffer, &len) == FT_Err_Ok;
        *length = len;
        Q_ASSERT(!result || int(*length) > 0);
    }
 
    return result;
}
 
static QFontEngineFT::Glyph emptyGlyph;
 
static const QFontEngine::HintStyle ftInitialDefaultHintStyle =
#ifdef Q_OS_WIN
    QFontEngineFT::HintFull;
#else
    QFontEngineFT::HintNone;
#endif
 
// -------------------------- Freetype support ------------------------------
 
class QtFreetypeData
{
public:
    QtFreetypeData()
        : library(nullptr)
    { }
    ~QtFreetypeData();
 
    struct FaceStyle {
        QString faceFileName;
        QString styleName;
 
        FaceStyle(QString faceFileName, QString styleName)
            : faceFileName(std::move(faceFileName)),
              styleName(std::move(styleName))
        {}
    };
 
    FT_Library library;
    QHash<QFontEngine::FaceId, QFreetypeFace *> faces;
    QList<QFreetypeFace *> staleFaces;
    QHash<FaceStyle, int> faceIndices;
};
 
QtFreetypeData::~QtFreetypeData()
{
    for (auto iter = faces.cbegin(); iter != faces.cend(); ++iter) {
        iter.value()->cleanup();
        if (!iter.value()->ref.deref())
            delete iter.value();
    }
    faces.clear();
 
    for (auto iter = staleFaces.cbegin(); iter != staleFaces.cend(); ++iter) {
        (*iter)->cleanup();
        if (!(*iter)->ref.deref())
            delete *iter;
    }
    staleFaces.clear();
 
    FT_Done_FreeType(library);
    library = nullptr;
}
 
inline bool operator==(const QtFreetypeData::FaceStyle &style1, const QtFreetypeData::FaceStyle &style2)
{
    return style1.faceFileName == style2.faceFileName && style1.styleName == style2.styleName;
}
 
inline size_t qHash(const QtFreetypeData::FaceStyle &style, size_t seed)
{
    return qHashMulti(seed, style.faceFileName, style.styleName);
}
 
Q_GLOBAL_STATIC(QThreadStorage<QtFreetypeData *>, theFreetypeData)
 
QtFreetypeData *qt_getFreetypeData()
{
    QtFreetypeData *&freetypeData = theFreetypeData()->localData();
    if (!freetypeData)
        freetypeData = new QtFreetypeData;
    if (!freetypeData->library) {
        FT_Init_FreeType(&freetypeData->library);
#if defined(FT_FONT_FORMATS_H)
        // Freetype defaults to disabling stem-darkening on CFF, we re-enable it.
        FT_Bool no_darkening = false;
        FT_Property_Set(freetypeData->library, "cff", "no-stem-darkening", &no_darkening);
#endif
    }
    return freetypeData;
}
 
FT_Library qt_getFreetype()
{
    QtFreetypeData *freetypeData = qt_getFreetypeData();
    Q_ASSERT(freetypeData->library);
    return freetypeData->library;
}
 
int QFreetypeFace::fsType() const
{
    int fsType = 0;
    TT_OS2 *os2 = (TT_OS2 *)FT_Get_Sfnt_Table(face, ft_sfnt_os2);
    if (os2)
        fsType = os2->fsType;
    return fsType;
}
 
int QFreetypeFace::getPointInOutline(glyph_t glyph, int flags, quint32 point, QFixed *xpos, QFixed *ypos, quint32 *nPoints)
{
    if (int error = FT_Load_Glyph(face, glyph, flags))
        return error;
 
    if (face->glyph->format != FT_GLYPH_FORMAT_OUTLINE)
        return Err_Invalid_SubTable;
 
    *nPoints = face->glyph->outline.n_points;
    if (!(*nPoints))
        return Err_Ok;
 
    if (point > *nPoints)
        return Err_Invalid_SubTable;
 
    *xpos = QFixed::fromFixed(face->glyph->outline.points[point].x);
    *ypos = QFixed::fromFixed(face->glyph->outline.points[point].y);
 
    return Err_Ok;
}
 
bool QFreetypeFace::isScalableBitmap() const
{
#ifdef FT_HAS_COLOR
    return !FT_IS_SCALABLE(face) && FT_HAS_COLOR(face);
#else
    return false;
#endif
}
 
extern QByteArray qt_fontdata_from_index(int);
 
/*
 * One font file can contain more than one font (bold/italic for example)
 * find the right one and return it.
 *
 * Returns the freetype face or 0 in case of an empty file or any other problems
 * (like not being able to open the file)
 */
QFreetypeFace *QFreetypeFace::getFace(const QFontEngine::FaceId &face_id,
                                      const QByteArray &fontData)
{
    if (face_id.filename.isEmpty() && fontData.isEmpty())
        return nullptr;
 
    QtFreetypeData *freetypeData = qt_getFreetypeData();
 
    // Purge any stale face that is now ready to be deleted
    freetypeData->staleFaces.removeIf([](QFreetypeFace *face) {
        if (face->ref.loadRelaxed() == 1) {
            face->cleanup();
            delete face;
            return true;
        }
        return false;
    });
 
    QFreetypeFace *freetype = nullptr;
    auto it = freetypeData->faces.find(face_id);
    if (it != freetypeData->faces.end()) {
        freetype = *it;
 
        Q_ASSERT(freetype->ref.loadRelaxed() > 0);
        if (freetype->ref.loadRelaxed() == 1) {
            // If there is only one reference left to the face, it means it is only referenced by
            // the cache itself, and thus it is in cleanup state (but the final outside reference
            // was removed on a different thread so it could not be deleted right away). We then
            // complete the cleanup and pretend we didn't find it, so that it can be re-created with
            // the present state.
            freetype->cleanup();
            freetypeData->faces.erase(it);
            delete freetype;
            freetype = nullptr;
        } else {
            freetype->ref.ref();
        }
    }
 
    if (!freetype) {
        const auto deleter = [](QFreetypeFace *f) { delete f; };
        std::unique_ptr<QFreetypeFace, decltype(deleter)> newFreetype(new QFreetypeFace, deleter);
        FT_Face face;
        FT_Face tmpFace;
        if (!face_id.filename.isEmpty()) {
            QString fileName = QFile::decodeName(face_id.filename);
            if (const char *prefix = ":qmemoryfonts/"; face_id.filename.startsWith(prefix)) {
                // from qfontdatabase.cpp
                QByteArray idx = face_id.filename;
                idx.remove(0, strlen(prefix)); // remove ':qmemoryfonts/'
                bool ok = false;
                newFreetype->fontData = qt_fontdata_from_index(idx.toInt(&ok));
                if (!ok)
                    newFreetype->fontData = QByteArray();
            } else if (!QFileInfo(fileName).isNativePath()) {
                QFile file(fileName);
                if (!file.open(QIODevice::ReadOnly)) {
                    return nullptr;
                }
                newFreetype->fontData = file.readAll();
            }
        } else {
            newFreetype->fontData = fontData;
        }
 
        FT_Int major, minor, patch;
        FT_Library_Version(qt_getFreetype(), &major, &minor, &patch);
        const bool goodVersion = major > 2 || (major == 2 && minor > 13) || (major == 2 && minor == 13 && patch > 2);
 
        if (!newFreetype->fontData.isEmpty()) {
            if (FT_New_Memory_Face(freetypeData->library,
                                   (const FT_Byte *)newFreetype->fontData.constData(),
                                   newFreetype->fontData.size(),
                                   face_id.index,
                                   &face)) {
                return nullptr;
            }
 
            // On older Freetype versions, we create a temporary duplicate of the FT_Face to work
            // around a bug, see further down.
            if (goodVersion) {
                tmpFace = face;
                if (FT_Reference_Face(face))
                    tmpFace = nullptr;
            } else if (!FT_HAS_MULTIPLE_MASTERS(face)
                    || FT_New_Memory_Face(freetypeData->library,
                                           (const FT_Byte *)newFreetype->fontData.constData(),
                                           newFreetype->fontData.size(),
                                           face_id.index,
                                           &tmpFace) != FT_Err_Ok) {
                tmpFace = nullptr;
            }
        } else {
            if (FT_New_Face(freetypeData->library, face_id.filename, face_id.index, &face))
                return nullptr;
 
            // On older Freetype versions, we create a temporary duplicate of the FT_Face to work
            // around a bug, see further down.
            if (goodVersion) {
                tmpFace = face;
                if (FT_Reference_Face(face))
                    tmpFace = nullptr;
            } else if (!FT_HAS_MULTIPLE_MASTERS(face)
                    || FT_New_Face(freetypeData->library, face_id.filename, face_id.index, &tmpFace) != FT_Err_Ok) {
                tmpFace = nullptr;
            }
        }
 
#if (FREETYPE_MAJOR*10000 + FREETYPE_MINOR*100 + FREETYPE_PATCH) >= 20900
        if (face_id.instanceIndex >= 0) {
            qCDebug(lcFontMatch)
            << "Selecting named instance" << (face_id.instanceIndex)
            << "in" << face_id.filename;
            FT_Set_Named_Instance(face, face_id.instanceIndex + 1);
        }
#endif
 
        // Due to a bug in Freetype 2.13.2 and earlier causing just a call to FT_Get_MM_Var() on
        // specific fonts to corrupt the FT_Face so that loading glyphs will later fail, we use a
        // temporary FT_Face here which can be thrown away after. The bug has been fixed in
        // Freetype 2.13.3.
        if (tmpFace != nullptr) {
            FT_MM_Var *var;
            if (FT_Get_MM_Var(tmpFace, &var) == FT_Err_Ok) {
                for (FT_UInt i = 0; i < var->num_axis; ++i) {
                    FT_Var_Axis *axis = var->axis + i;
 
                    QFontVariableAxis fontVariableAxis;
                    if (const auto tag = QFont::Tag::fromValue(axis->tag)) {
                        fontVariableAxis.setTag(*tag);
                    } else {
                        qWarning() << "QFreetypeFace::getFace: Invalid variable axis tag encountered"
                                   << axis->tag;
                    }
 
                    fontVariableAxis.setMinimumValue(axis->minimum / 65536.0);
                    fontVariableAxis.setMaximumValue(axis->maximum / 65536.0);
                    fontVariableAxis.setDefaultValue(axis->def / 65536.0);
                    fontVariableAxis.setName(QString::fromUtf8(axis->name));
 
                    newFreetype->variableAxisList.append(fontVariableAxis);
                }
 
                if (!face_id.variableAxes.isEmpty()) {
                    QVarLengthArray<FT_Fixed, 16> coords(var->num_axis);
                    FT_Get_Var_Design_Coordinates(face, var->num_axis, coords.data());
                    for (qsizetype i = 0; i < newFreetype->variableAxisList.size(); ++i) {
                        const QFontVariableAxis &axis = newFreetype->variableAxisList.at(i);
                        if (axis.tag().isValid()) {
                            const auto it = face_id.variableAxes.constFind(axis.tag());
                            if (it != face_id.variableAxes.constEnd())
                                coords[i] = FT_Fixed(*it * 65536);
                        }
                    }
                    FT_Set_Var_Design_Coordinates(face, var->num_axis, coords.data());
                }
 
                FT_Done_MM_Var(qt_getFreetype(), var);
            }
 
            FT_Done_Face(tmpFace);
        }
 
        newFreetype->face = face;
        newFreetype->mm_var = nullptr;
        if (FT_IS_NAMED_INSTANCE(newFreetype->face)) {
            FT_Error ftresult;
            ftresult = FT_Get_MM_Var(face, &newFreetype->mm_var);
            if (ftresult != FT_Err_Ok)
                newFreetype->mm_var = nullptr;
        }
 
        newFreetype->ref.storeRelaxed(1);
        newFreetype->xsize = 0;
        newFreetype->ysize = 0;
        newFreetype->matrix.xx = 0x10000;
        newFreetype->matrix.yy = 0x10000;
        newFreetype->matrix.xy = 0;
        newFreetype->matrix.yx = 0;
        newFreetype->unicode_map = nullptr;
        newFreetype->symbol_map = nullptr;
 
        memset(newFreetype->cmapCache, 0, sizeof(newFreetype->cmapCache));
 
        for (int i = 0; i < newFreetype->face->num_charmaps; ++i) {
            FT_CharMap cm = newFreetype->face->charmaps[i];
            switch(cm->encoding) {
            case FT_ENCODING_UNICODE:
                newFreetype->unicode_map = cm;
                break;
            case FT_ENCODING_APPLE_ROMAN:
            case FT_ENCODING_ADOBE_LATIN_1:
                if (!newFreetype->unicode_map || newFreetype->unicode_map->encoding != FT_ENCODING_UNICODE)
                    newFreetype->unicode_map = cm;
                break;
            case FT_ENCODING_ADOBE_CUSTOM:
            case FT_ENCODING_MS_SYMBOL:
                if (!newFreetype->symbol_map)
                    newFreetype->symbol_map = cm;
                break;
            default:
                break;
            }
        }
 
        if (!FT_IS_SCALABLE(newFreetype->face) && newFreetype->face->num_fixed_sizes == 1)
            FT_Set_Char_Size(face, newFreetype->face->available_sizes[0].x_ppem, newFreetype->face->available_sizes[0].y_ppem, 0, 0);
 
        FT_Set_Charmap(newFreetype->face, newFreetype->unicode_map);
 
        QT_TRY {
            freetypeData->faces.insert(face_id, newFreetype.get());
        } QT_CATCH(...) {
            newFreetype.release()->release(face_id);
            // we could return null in principle instead of throwing
            QT_RETHROW;
        }
        freetype = newFreetype.release();
        freetype->ref.ref();
    }
    return freetype;
}
 
void QFreetypeFace::cleanup()
{
    hbFace.reset();
    if (mm_var)
        FT_Done_MM_Var(qt_getFreetype(), mm_var);
    mm_var = nullptr;
    FT_Done_Face(face);
    face = nullptr;
}
 
void QFreetypeFace::release(const QFontEngine::FaceId &face_id)
{
    Q_UNUSED(face_id);
    bool deleteThis = !ref.deref();
 
    // If the only reference left over is the cache's reference, we remove it from the cache,
    // granted that we are on the correct thread. If not, we leave it there to be cleaned out
    // later. While we are at it, we also purge all left over faces which are only referenced
    // from the cache.
    if (face && ref.loadRelaxed() == 1) {
        QtFreetypeData *freetypeData = qt_getFreetypeData();
 
        freetypeData->staleFaces.removeIf([&deleteThis, this](QFreetypeFace *face){
            if (face->ref.loadRelaxed() == 1) {
                face->cleanup();
                if (face == this)
                    deleteThis = true;
                else
                    delete face;
                return true;
            }
            return false;
        });
 
        for (auto it = freetypeData->faces.constBegin();
             it != freetypeData->faces.constEnd();
             it = freetypeData->faces.erase(it)) {
            if (it.value()->ref.loadRelaxed() == 1) {
                it.value()->cleanup();
                if (it.value() == this)
                    deleteThis = true; // This face, delete at end of function for safety
                else
                    delete it.value();
            } else {
                freetypeData->staleFaces.append(it.value());
            }
        }
 
        if (freetypeData->faces.isEmpty() && freetypeData->staleFaces.isEmpty()) {
            FT_Done_FreeType(freetypeData->library);
            freetypeData->library = nullptr;
        }
    }
 
    if (deleteThis)
        delete this;
}
 
static int computeFaceIndex(const QString &faceFileName, const QString &styleName)
{
    FT_Library library = qt_getFreetype();
 
    int faceIndex = 0;
    int numFaces = 0;
 
    do {
        FT_Face face;
 
        FT_Error error = FT_New_Face(library, faceFileName.toUtf8().constData(), faceIndex, &face);
        if (error != FT_Err_Ok) {
            qDebug() << "FT_New_Face failed for face index" << faceIndex << ':' << Qt::hex << error;
            break;
        }
 
        const bool found = QLatin1StringView(face->style_name) == styleName;
        numFaces = face->num_faces;
 
        FT_Done_Face(face);
 
        if (found)
            return faceIndex;
    } while (++faceIndex < numFaces);
 
    // Fall back to the first font face in the file
    return 0;
}
 
int QFreetypeFace::getFaceIndexByStyleName(const QString &faceFileName, const QString &styleName)
{
    QtFreetypeData *freetypeData = qt_getFreetypeData();
 
    // Try to get from cache
    QtFreetypeData::FaceStyle faceStyle(faceFileName, styleName);
    int faceIndex = freetypeData->faceIndices.value(faceStyle, -1);
 
    if (faceIndex >= 0)
        return faceIndex;
 
    faceIndex = computeFaceIndex(faceFileName, styleName);
 
    freetypeData->faceIndices.insert(faceStyle, faceIndex);
 
    return faceIndex;
}
 
void QFreetypeFace::computeSize(const QFontDef &fontDef, int *xsize, int *ysize, bool *outline_drawing, QFixed *scalableBitmapScaleFactor)
{
    *ysize = qRound(fontDef.pixelSize * 64);
    *xsize = *ysize * fontDef.stretch / 100;
    *scalableBitmapScaleFactor = 1;
    *outline_drawing = false;
 
    if (!(face->face_flags & FT_FACE_FLAG_SCALABLE)) {
        int best = 0;
        if (!isScalableBitmap()) {
            /*
             * Bitmap only faces must match exactly, so find the closest
             * one (height dominant search)
             */
            for (int i = 1; i < face->num_fixed_sizes; i++) {
                if (qAbs(*ysize -  face->available_sizes[i].y_ppem) <
                    qAbs(*ysize - face->available_sizes[best].y_ppem) ||
                    (qAbs(*ysize - face->available_sizes[i].y_ppem) ==
                     qAbs(*ysize - face->available_sizes[best].y_ppem) &&
                     qAbs(*xsize - face->available_sizes[i].x_ppem) <
                     qAbs(*xsize - face->available_sizes[best].x_ppem))) {
                    best = i;
                }
            }
        } else {
            // Select the shortest bitmap strike whose height is larger than the desired height
            for (int i = 1; i < face->num_fixed_sizes; i++) {
                if (face->available_sizes[i].y_ppem < *ysize) {
                    if (face->available_sizes[i].y_ppem > face->available_sizes[best].y_ppem)
                        best = i;
                } else if (face->available_sizes[best].y_ppem < *ysize) {
                    best = i;
                } else if (face->available_sizes[i].y_ppem < face->available_sizes[best].y_ppem) {
                    best = i;
                }
            }
        }
 
        // According to freetype documentation we must use FT_Select_Size
        // to make sure we can select the desired bitmap strike index
        if (FT_Select_Size(face, best) == 0) {
            if (isScalableBitmap())
                *scalableBitmapScaleFactor = QFixed::fromReal((qreal)fontDef.pixelSize / face->available_sizes[best].height);
            *xsize = face->available_sizes[best].x_ppem;
            *ysize = face->available_sizes[best].y_ppem;
        } else {
            *xsize = *ysize = 0;
        }
    } else {
#if defined FT_HAS_COLOR
        if (FT_HAS_COLOR(face)) {
            *outline_drawing = false;
        } else
#endif
        {
            int maxCachedGlyphSize = QFontEngine::maxCachedGlyphSize();
            *outline_drawing = (*xsize > (maxCachedGlyphSize << 6) || *ysize > (maxCachedGlyphSize << 6));
        }
    }
}
 
QFontEngine::Properties QFreetypeFace::properties() const
{
    QFontEngine::Properties p;
    p.postscriptName = FT_Get_Postscript_Name(face);
    PS_FontInfoRec font_info;
    if (FT_Get_PS_Font_Info(face, &font_info) == 0)
        p.copyright = font_info.notice;
    if (FT_IS_SCALABLE(face)
#if defined(FT_HAS_COLOR)
        && !FT_HAS_COLOR(face)
#endif
        ) {
        p.ascent = face->ascender;
        p.descent = -face->descender;
        p.leading = face->height - face->ascender + face->descender;
        p.emSquare = face->units_per_EM;
        p.boundingBox = QRectF(face->bbox.xMin, -face->bbox.yMax,
                               face->bbox.xMax - face->bbox.xMin,
                               face->bbox.yMax - face->bbox.yMin);
    } else {
        p.ascent = QFixed::fromFixed(face->size->metrics.ascender);
        p.descent = QFixed::fromFixed(-face->size->metrics.descender);
        p.leading = QFixed::fromFixed(face->size->metrics.height - face->size->metrics.ascender + face->size->metrics.descender);
        p.emSquare = face->size->metrics.y_ppem;
//        p.boundingBox = QRectF(-p.ascent.toReal(), 0, (p.ascent + p.descent).toReal(), face->size->metrics.max_advance/64.);
        p.boundingBox = QRectF(0, -p.ascent.toReal(),
                               face->size->metrics.max_advance/64, (p.ascent + p.descent).toReal() );
    }
    p.italicAngle = 0;
    p.capHeight = p.ascent;
    p.lineWidth = face->underline_thickness;
 
    return p;
}
 
bool QFreetypeFace::getSfntTable(uint tag, uchar *buffer, uint *length) const
{
    return ft_getSfntTable(face, tag, buffer, length);
}
 
/* Some fonts (such as MingLiu rely on hinting to scale different
   components to their correct sizes. While this is really broken (it
   should be done in the component glyph itself, not the hinter) we
   will have to live with it.
 
   This means we can not use FT_LOAD_NO_HINTING to get the glyph
   outline. All we can do is to load the unscaled glyph and scale it
   down manually when required.
*/
static void scaleOutline(FT_Face face, FT_GlyphSlot g, FT_Fixed x_scale, FT_Fixed y_scale)
{
    x_scale = FT_MulDiv(x_scale, 1 << 10, face->units_per_EM);
    y_scale = FT_MulDiv(y_scale, 1 << 10, face->units_per_EM);
    FT_Vector *p = g->outline.points;
    const FT_Vector *e = p + g->outline.n_points;
    while (p < e) {
        p->x = FT_MulFix(p->x, x_scale);
        p->y = FT_MulFix(p->y, y_scale);
        ++p;
    }
}
 
#define GLYPH2PATH_DEBUG QT_NO_QDEBUG_MACRO // qDebug
void QFreetypeFace::addGlyphToPath(FT_Face face, FT_GlyphSlot g, const QFixedPoint &point, QPainterPath *path, FT_Fixed x_scale, FT_Fixed y_scale)
{
    const qreal factor = 1/64.;
    scaleOutline(face, g, x_scale, y_scale);
 
    QPointF cp = point.toPointF();
 
    // convert the outline to a painter path
    int i = 0;
    for (int j = 0; j < g->outline.n_contours; ++j) {
        int last_point = g->outline.contours[j];
        GLYPH2PATH_DEBUG() << "contour:" << i << "to" << last_point;
        QPointF start = QPointF(g->outline.points[i].x*factor, -g->outline.points[i].y*factor);
        if (!(g->outline.tags[i] & 1)) {               // start point is not on curve:
            if (!(g->outline.tags[last_point] & 1)) {  // end point is not on curve:
                GLYPH2PATH_DEBUG() << "  start and end point are not on curve";
                start = (QPointF(g->outline.points[last_point].x*factor,
                                -g->outline.points[last_point].y*factor) + start) / 2.0;
            } else {
                GLYPH2PATH_DEBUG() << "  end point is on curve, start is not";
                start = QPointF(g->outline.points[last_point].x*factor,
                               -g->outline.points[last_point].y*factor);
            }
            --i;   // to use original start point as control point below
        }
        start += cp;
        GLYPH2PATH_DEBUG() << "  start at" << start;
 
        path->moveTo(start);
        QPointF c[4];
        c[0] = start;
        int n = 1;
        while (i < last_point) {
            ++i;
            c[n] = cp + QPointF(g->outline.points[i].x*factor, -g->outline.points[i].y*factor);
            GLYPH2PATH_DEBUG() << "    " << i << c[n] << "tag =" << (int)g->outline.tags[i]
                               << ": on curve =" << (bool)(g->outline.tags[i] & 1);
            ++n;
            switch (g->outline.tags[i] & 3) {
            case 2:
                // cubic bezier element
                if (n < 4)
                    continue;
                c[3] = (c[3] + c[2])/2;
                --i;
                break;
            case 0:
                // quadratic bezier element
                if (n < 3)
                    continue;
                c[3] = (c[1] + c[2])/2;
                c[2] = (2*c[1] + c[3])/3;
                c[1] = (2*c[1] + c[0])/3;
                --i;
                break;
            case 1:
            case 3:
                if (n == 2) {
                    GLYPH2PATH_DEBUG() << "  lineTo" << c[1];
                    path->lineTo(c[1]);
                    c[0] = c[1];
                    n = 1;
                    continue;
                } else if (n == 3) {
                    c[3] = c[2];
                    c[2] = (2*c[1] + c[3])/3;
                    c[1] = (2*c[1] + c[0])/3;
                }
                break;
            }
            GLYPH2PATH_DEBUG() << "  cubicTo" << c[1] << c[2] << c[3];
            path->cubicTo(c[1], c[2], c[3]);
            c[0] = c[3];
            n = 1;
        }
 
        if (n == 1) {
            GLYPH2PATH_DEBUG() << "  closeSubpath";
            path->closeSubpath();
        } else {
            c[3] = start;
            if (n == 2) {
                c[2] = (2*c[1] + c[3])/3;
                c[1] = (2*c[1] + c[0])/3;
            }
            GLYPH2PATH_DEBUG() << "  close cubicTo" << c[1] << c[2] << c[3];
            path->cubicTo(c[1], c[2], c[3]);
        }
        ++i;
    }
}
 
extern void qt_addBitmapToPath(qreal x0, qreal y0, const uchar *image_data, int bpl, int w, int h, QPainterPath *path);
 
void QFreetypeFace::addBitmapToPath(FT_GlyphSlot slot, const QFixedPoint &point, QPainterPath *path)
{
    if (slot->format != FT_GLYPH_FORMAT_BITMAP
        || slot->bitmap.pixel_mode != FT_PIXEL_MODE_MONO)
        return;
 
    QPointF cp = point.toPointF();
    qt_addBitmapToPath(cp.x() + TRUNC(slot->metrics.horiBearingX), cp.y() - TRUNC(slot->metrics.horiBearingY),
                       slot->bitmap.buffer, slot->bitmap.pitch, slot->bitmap.width, slot->bitmap.rows, path);
}
 
static inline void convertRGBToARGB(const uchar *src, uint *dst, int width, int height, int src_pitch, bool bgr)
{
    const int offs = bgr ? -1 : 1;
    const int w = width * 3;
    while (height--) {
        uint *dd = dst;
        for (int x = 0; x < w; x += 3) {
            uchar red = src[x + 1 - offs];
            uchar green = src[x + 1];
            uchar blue = src[x + 1 + offs];
            *dd++ = (0xFFU << 24) | (red << 16) | (green << 8) | blue;
        }
        dst += width;
        src += src_pitch;
    }
}
 
static inline void convertRGBToARGB_V(const uchar *src, uint *dst, int width, int height, int src_pitch, bool bgr)
{
    const int offs = bgr ? -src_pitch : src_pitch;
    while (height--) {
        for (int x = 0; x < width; x++) {
            uchar red = src[x + src_pitch - offs];
            uchar green = src[x + src_pitch];
            uchar blue = src[x + src_pitch + offs];
            *dst++ = (0XFFU << 24) | (red << 16) | (green << 8) | blue;
        }
        src += 3*src_pitch;
    }
}
 
static QFontEngine::SubpixelAntialiasingType subpixelAntialiasingTypeHint()
{
    static int type = -1;
    if (type == -1) {
        if (QScreen *screen = QGuiApplication::primaryScreen())
            type = screen->handle()->subpixelAntialiasingTypeHint();
    }
    return static_cast<QFontEngine::SubpixelAntialiasingType>(type);
}
 
QFontEngineFT *QFontEngineFT::create(const QFontDef &fontDef, FaceId faceId, const QByteArray &fontData)
{
    auto engine = std::make_unique<QFontEngineFT>(fontDef);
 
    QFontEngineFT::GlyphFormat format = QFontEngineFT::Format_Mono;
    const bool antialias = !(fontDef.styleStrategy & QFont::NoAntialias);
 
    if (antialias) {
        QFontEngine::SubpixelAntialiasingType subpixelType = subpixelAntialiasingTypeHint();
        if (subpixelType == QFontEngine::Subpixel_None || (fontDef.styleStrategy & QFont::NoSubpixelAntialias)) {
            format = QFontEngineFT::Format_A8;
            engine->subpixelType = QFontEngine::Subpixel_None;
        } else {
            format = QFontEngineFT::Format_A32;
            engine->subpixelType = subpixelType;
        }
    }
 
    if (!engine->init(faceId, antialias, format, fontData) || engine->invalid()) {
        qWarning("QFontEngineFT: Failed to create FreeType font engine");
        return nullptr;
    }
 
    engine->setQtDefaultHintStyle(static_cast<QFont::HintingPreference>(fontDef.hintingPreference));
    return engine.release();
}
 
static FT_UShort calculateActualWeight(QFreetypeFace *freetypeFace, FT_Face face, QFontEngine::FaceId faceId)
{
    FT_MM_Var *var = freetypeFace->mm_var;
    if (var != nullptr && faceId.instanceIndex >= 0 && FT_UInt(faceId.instanceIndex) < var->num_namedstyles) {
        for (FT_UInt axis = 0; axis < var->num_axis; ++axis) {
            if (var->axis[axis].tag == QFont::Tag("wght").value()) {
                return var->namedstyle[faceId.instanceIndex].coords[axis] >> 16;
            }
        }
    }
    if (const TT_OS2 *os2 = reinterpret_cast<const TT_OS2 *>(FT_Get_Sfnt_Table(face, ft_sfnt_os2))) {
        return os2->usWeightClass;
    }
 
    return 700;
}
 
namespace {
    class QFontEngineFTRawData: public QFontEngineFT
    {
    public:
        QFontEngineFTRawData(const QFontDef &fontDef) : QFontEngineFT(fontDef)
        {
        }
 
        void updateFamilyNameAndStyle()
        {
            fontDef.families = QStringList(QString::fromLatin1(freetype->face->family_name));
 
            if (freetype->face->style_flags & FT_STYLE_FLAG_ITALIC)
                fontDef.style = QFont::StyleItalic;
 
            if (freetype->face->style_flags & FT_STYLE_FLAG_BOLD)
                fontDef.weight = QFont::Bold;
            else
                fontDef.weight = calculateActualWeight(freetype, freetype->face, faceId());
        }
 
        bool initFromData(const QByteArray &fontData,
                          const QMap<QFont::Tag, float> &variableAxisValues,
                          int instanceIndex)
        {
            FaceId faceId;
            faceId.filename = "";
            faceId.index = 0;
            faceId.uuid = QUuid::createUuid().toByteArray();
            faceId.variableAxes = variableAxisValues;
            faceId.instanceIndex = instanceIndex;
 
            return init(faceId, true, Format_None, fontData);
        }
    };
}
 
QFontEngineFT *QFontEngineFT::create(const QByteArray &fontData,
                                     qreal pixelSize,
                                     QFont::HintingPreference hintingPreference,
                                     const QMap<QFont::Tag, float> &variableAxisValues,
                                     int instanceIndex)
{
    QFontDef fontDef;
    fontDef.pixelSize = pixelSize;
    fontDef.stretch = QFont::Unstretched;
    fontDef.hintingPreference = hintingPreference;
    fontDef.variableAxisValues = variableAxisValues;
 
    QFontEngineFTRawData *fe = new QFontEngineFTRawData(fontDef);
    if (!fe->initFromData(fontData, variableAxisValues, instanceIndex)) {
        delete fe;
        return nullptr;
    }
 
    fe->updateFamilyNameAndStyle();
    fe->setQtDefaultHintStyle(static_cast<QFont::HintingPreference>(fontDef.hintingPreference));
 
    return fe;
}
 
QFontEngineFT::QFontEngineFT(const QFontDef &fd)
    : QFontEngine(Freetype)
{
    fontDef = fd;
    matrix.xx = 0x10000;
    matrix.yy = 0x10000;
    matrix.xy = 0;
    matrix.yx = 0;
    cache_cost = 100 * 1024;
    kerning_pairs_loaded = false;
    transform = false;
    embolden = false;
    obliquen = false;
    antialias = true;
    freetype = nullptr;
    default_load_flags = FT_LOAD_IGNORE_GLOBAL_ADVANCE_WIDTH;
    default_hint_style = ftInitialDefaultHintStyle;
    subpixelType = Subpixel_None;
    lcdFilterType = (int)((quintptr) FT_LCD_FILTER_DEFAULT);
    defaultFormat = Format_None;
    embeddedbitmap = false;
    const QByteArray env = qgetenv("QT_NO_FT_CACHE");
    cacheEnabled = env.isEmpty() || env.toInt() == 0;
    m_subPixelPositionCount = 4;
    forceAutoHint = false;
    stemDarkeningDriver = false;
}
 
QFontEngineFT::~QFontEngineFT()
{
    if (freetype)
        freetype->release(face_id);
}
 
bool QFontEngineFT::init(FaceId faceId, bool antialias, GlyphFormat format,
                         const QByteArray &fontData)
{
    return init(faceId, antialias, format, QFreetypeFace::getFace(faceId, fontData));
}
 
static void dont_delete(void*) {}
 
static bool calculateActualItalic(QFreetypeFace *freetypeFace, FT_Face face, QFontEngine::FaceId faceId)
{
    FT_MM_Var *var = freetypeFace->mm_var;
    if (var != nullptr && faceId.instanceIndex >= 0 && FT_UInt(faceId.instanceIndex) < var->num_namedstyles) {
        for (FT_UInt axis = 0; axis < var->num_axis; ++axis) {
            if (var->axis[axis].tag == QFont::Tag("ital").value()) {
                return (var->namedstyle[faceId.instanceIndex].coords[axis] >> 16) == 1;
            }
        }
    }
 
    return (face->style_flags & FT_STYLE_FLAG_ITALIC);
}
 
bool QFontEngineFT::init(FaceId faceId, bool antialias, GlyphFormat format,
                         QFreetypeFace *freetypeFace)
{
    freetype = freetypeFace;
    if (!freetype) {
        xsize = 0;
        ysize = 0;
        return false;
    }
    defaultFormat = format;
    this->antialias = antialias;
 
    if (!antialias)
        glyphFormat = QFontEngine::Format_Mono;
    else
        glyphFormat = defaultFormat;
 
    face_id = faceId;
 
    symbol = freetype->symbol_map != nullptr;
    PS_FontInfoRec psrec;
    // don't assume that type1 fonts are symbol fonts by default
    if (FT_Get_PS_Font_Info(freetype->face, &psrec) == FT_Err_Ok) {
        symbol = !fontDef.families.isEmpty() && bool(fontDef.families.constFirst().contains("symbol"_L1, Qt::CaseInsensitive));
    }
 
    freetype->computeSize(fontDef, &xsize, &ysize, &defaultGlyphSet.outline_drawing, &scalableBitmapScaleFactor);
 
    FT_Face face = lockFace();
 
    if (FT_IS_SCALABLE(face)
#if defined(FT_HAS_COLOR)
        && !FT_HAS_COLOR(face)
#endif
        ) {
        bool isItalic = calculateActualItalic(freetype, face, faceId);
        bool fake_oblique = (fontDef.style != QFont::StyleNormal) && !isItalic && !qEnvironmentVariableIsSet("QT_NO_SYNTHESIZED_ITALIC");
        if (fake_oblique)
            obliquen = true;
        FT_Set_Transform(face, &matrix, nullptr);
        freetype->matrix = matrix;
        // fake bold
        if ((fontDef.weight >= QFont::Bold) && !(face->style_flags & FT_STYLE_FLAG_BOLD) && !FT_IS_FIXED_WIDTH(face)  && !qEnvironmentVariableIsSet("QT_NO_SYNTHESIZED_BOLD")) {
            FT_UShort actualWeight = calculateActualWeight(freetype, face, faceId);
            if (actualWeight < 700 &&
                (fontDef.pixelSize < 64 || qEnvironmentVariableIsSet("QT_NO_SYNTHESIZED_BOLD_LIMIT"))) {
                embolden = true;
            }
        }
        // underline metrics
        line_thickness =  QFixed::fromFixed(FT_MulFix(face->underline_thickness, face->size->metrics.y_scale));
        QFixed center_position = QFixed::fromFixed(-FT_MulFix(face->underline_position, face->size->metrics.y_scale));
        underline_position = center_position - line_thickness / 2;
    } else {
        // ad hoc algorithm
        int score = fontDef.weight * fontDef.pixelSize;
        line_thickness = score / 7000;
        // looks better with thicker line for small pointsizes
        if (line_thickness < 2 && score >= 1050)
            line_thickness = 2;
        underline_position =  ((line_thickness * 2) + 3) / 6;
 
        cacheEnabled = false;
#if defined(FT_HAS_COLOR)
        if (FT_HAS_COLOR(face))
            glyphFormat = defaultFormat = GlyphFormat::Format_ARGB;
#endif
    }
    if (line_thickness < 1)
        line_thickness = 1;
 
    metrics = face->size->metrics;
 
    /*
       TrueType fonts with embedded bitmaps may have a bitmap font specific
       ascent/descent in the EBLC table. There is no direct public API
       to extract those values. The only way we've found is to trick freetype
       into thinking that it's not a scalable font in FT_Select_Size so that
       the metrics are retrieved from the bitmap strikes.
    */
    if (FT_IS_SCALABLE(face)) {
        for (int i = 0; i < face->num_fixed_sizes; ++i) {
            if (xsize == face->available_sizes[i].x_ppem && ysize == face->available_sizes[i].y_ppem) {
                face->face_flags &= ~FT_FACE_FLAG_SCALABLE;
 
                FT_Select_Size(face, i);
                if (face->size->metrics.ascender + face->size->metrics.descender > 0) {
                    FT_Pos leading = metrics.height - metrics.ascender + metrics.descender;
                    metrics.ascender = face->size->metrics.ascender;
                    metrics.descender = face->size->metrics.descender;
                    if (metrics.descender > 0
                            && QString::fromUtf8(face->family_name) == "Courier New"_L1) {
                        metrics.descender *= -1;
                    }
                    metrics.height = metrics.ascender - metrics.descender + leading;
                }
                FT_Set_Char_Size(face, xsize, ysize, 0, 0);
 
                face->face_flags |= FT_FACE_FLAG_SCALABLE;
                break;
            }
        }
    }
#if defined(FT_FONT_FORMATS_H)
    const char *fmt = FT_Get_Font_Format(face);
    if (fmt && qstrncmp(fmt, "CFF", 4) == 0) {
        FT_Bool no_stem_darkening = true;
        FT_Error err = FT_Property_Get(qt_getFreetype(), "cff", "no-stem-darkening", &no_stem_darkening);
        if (err == FT_Err_Ok)
            stemDarkeningDriver = !no_stem_darkening;
        else
            stemDarkeningDriver = false;
    }
#endif
 
    fontDef.styleName = QString::fromUtf8(face->style_name);
 
    if (!freetype->hbFace) {
        faceData.user_data = face;
        faceData.get_font_table = ft_getSfntTable;
        (void)harfbuzzFace(); // populates face_
        freetype->hbFace = std::move(face_);
    } else {
        Q_ASSERT(!face_);
    }
    // we share the HB face in QFreeTypeFace, so do not let ~QFontEngine() destroy it
    face_ = Holder(freetype->hbFace.get(), dont_delete);
 
    unlockFace();
 
    fsType = freetype->fsType();
    return true;
}
 
void QFontEngineFT::setQtDefaultHintStyle(QFont::HintingPreference hintingPreference)
{
    switch (hintingPreference) {
    case QFont::PreferNoHinting:
        setDefaultHintStyle(HintNone);
        break;
    case QFont::PreferFullHinting:
        setDefaultHintStyle(HintFull);
        break;
    case QFont::PreferVerticalHinting:
        setDefaultHintStyle(HintLight);
        break;
    case QFont::PreferDefaultHinting:
        setDefaultHintStyle(ftInitialDefaultHintStyle);
        break;
    }
}
 
void QFontEngineFT::setDefaultHintStyle(HintStyle style)
{
    default_hint_style = style;
}
 
bool QFontEngineFT::expectsGammaCorrectedBlending(QFontEngine::GlyphFormat format) const
{
    Q_UNUSED(format);
    return stemDarkeningDriver;
}
 
int QFontEngineFT::loadFlags(QGlyphSet *set, GlyphFormat format, int flags,
                             bool &hsubpixel, int &vfactor) const
{
    int load_flags = FT_LOAD_DEFAULT | default_load_flags;
    int load_target = default_hint_style == HintLight
                      ? FT_LOAD_TARGET_LIGHT
                      : FT_LOAD_TARGET_NORMAL;
 
    if (format == Format_Mono) {
        load_target = FT_LOAD_TARGET_MONO;
    } else if (format == Format_A32) {
        if (subpixelType == Subpixel_RGB || subpixelType == Subpixel_BGR)
            hsubpixel = true;
        else if (subpixelType == Subpixel_VRGB || subpixelType == Subpixel_VBGR)
            vfactor = 3;
    } else if (format == Format_ARGB) {
#ifdef FT_LOAD_COLOR
        load_flags |= FT_LOAD_COLOR;
#endif
    }
 
    if (set && set->outline_drawing)
        load_flags |= FT_LOAD_NO_BITMAP;
 
    if (default_hint_style == HintNone || (flags & DesignMetrics) || (set && set->outline_drawing))
        load_flags |= FT_LOAD_NO_HINTING;
    else
        load_flags |= load_target;
 
    if (forceAutoHint)
        load_flags |= FT_LOAD_FORCE_AUTOHINT;
 
    return load_flags;
}
 
static inline bool areMetricsTooLarge(const QFontEngineFT::GlyphInfo &info)
{
    // false if exceeds QFontEngineFT::Glyph metrics
    return info.width > 0xFF || info.height > 0xFF || info.linearAdvance > 0x7FFF;
}
 
static inline void transformBoundingBox(int *left, int *top, int *right, int *bottom, FT_Matrix *matrix)
{
    int l, r, t, b;
    FT_Vector vector;
    vector.x = *left;
    vector.y = *top;
    FT_Vector_Transform(&vector, matrix);
    l = r = vector.x;
    t = b = vector.y;
    vector.x = *right;
    vector.y = *top;
    FT_Vector_Transform(&vector, matrix);
    if (l > vector.x) l = vector.x;
    if (r < vector.x) r = vector.x;
    if (t < vector.y) t = vector.y;
    if (b > vector.y) b = vector.y;
    vector.x = *right;
    vector.y = *bottom;
    FT_Vector_Transform(&vector, matrix);
    if (l > vector.x) l = vector.x;
    if (r < vector.x) r = vector.x;
    if (t < vector.y) t = vector.y;
    if (b > vector.y) b = vector.y;
    vector.x = *left;
    vector.y = *bottom;
    FT_Vector_Transform(&vector, matrix);
    if (l > vector.x) l = vector.x;
    if (r < vector.x) r = vector.x;
    if (t < vector.y) t = vector.y;
    if (b > vector.y) b = vector.y;
    *left = l;
    *right = r;
    *top = t;
    *bottom = b;
}
 
#if defined(QFONTENGINE_FT_SUPPORT_COLRV1)
#define FROM_FIXED_16_16(value) (value / 65536.0)
 
static inline QTransform FTAffineToQTransform(const FT_Affine23 &matrix)
{
    qreal m11 = FROM_FIXED_16_16(matrix.xx);
    qreal m21 = -FROM_FIXED_16_16(matrix.xy);
    qreal m12 = -FROM_FIXED_16_16(matrix.yx);
    qreal m22 = FROM_FIXED_16_16(matrix.yy);
    qreal dx = FROM_FIXED_16_16(matrix.dx);
    qreal dy = -FROM_FIXED_16_16(matrix.dy);
 
    return QTransform(m11, m12, m21, m22, dx, dy);
}
 
bool QFontEngineFT::traverseColr1(FT_OpaquePaint opaquePaint,
                                  QSet<std::pair<FT_Byte *, FT_Bool> > *loops,
                                  QColor foregroundColor,
                                  FT_Color *palette,
                                  ushort paletteCount,
                                  QColrPaintGraphRenderer *paintGraphRenderer) const
{
    FT_Face face = freetype->face;
 
    auto key = std::pair{opaquePaint.p, opaquePaint.insert_root_transform};
    if (loops->contains(key)) {
        qCWarning(lcColrv1) << "Cycle detected in COLRv1 graph";
        return false;
    }
 
    paintGraphRenderer->save();
    loops->insert(key);
    auto cleanup = qScopeGuard([&paintGraphRenderer, &key, &loops]() {
        loops->remove(key);
        paintGraphRenderer->restore();
    });
 
    FT_COLR_Paint paint;
    if (!FT_Get_Paint(face, opaquePaint, &paint))
        return false;
 
    if (paint.format == FT_COLR_PAINTFORMAT_COLR_LAYERS) {
        FT_OpaquePaint layerPaint;
        layerPaint.p = nullptr;
        while (FT_Get_Paint_Layers(face, &paint.u.colr_layers.layer_iterator, &layerPaint)) {
            if (!traverseColr1(layerPaint, loops, foregroundColor, palette, paletteCount, paintGraphRenderer))
                return false;
        }
    } else if (paint.format == FT_COLR_PAINTFORMAT_TRANSFORM
               || paint.format == FT_COLR_PAINTFORMAT_SCALE
               || paint.format == FT_COLR_PAINTFORMAT_TRANSLATE
               || paint.format == FT_COLR_PAINTFORMAT_ROTATE
               || paint.format == FT_COLR_PAINTFORMAT_SKEW) {
        QTransform xform;
 
        FT_OpaquePaint nextPaint;
        switch (paint.format) {
        case FT_COLR_PAINTFORMAT_TRANSFORM:
            xform = FTAffineToQTransform(paint.u.transform.affine);
            nextPaint = paint.u.transform.paint;
            break;
        case FT_COLR_PAINTFORMAT_SCALE:
            {
                qreal centerX = FROM_FIXED_16_16(paint.u.scale.center_x);
                qreal centerY = -FROM_FIXED_16_16(paint.u.scale.center_y);
                qreal scaleX = FROM_FIXED_16_16(paint.u.scale.scale_x);
                qreal scaleY = FROM_FIXED_16_16(paint.u.scale.scale_y);
 
                xform.translate(centerX, centerY);
                xform.scale(scaleX, scaleY);
                xform.translate(-centerX, -centerY);
 
                nextPaint = paint.u.scale.paint;
                break;
            }
        case FT_COLR_PAINTFORMAT_ROTATE:
            {
                qreal centerX = FROM_FIXED_16_16(paint.u.rotate.center_x);
                qreal centerY = -FROM_FIXED_16_16(paint.u.rotate.center_y);
                qreal angle = -FROM_FIXED_16_16(paint.u.rotate.angle) * 180.0;
 
                xform.translate(centerX, centerY);
                xform.rotate(angle);
                xform.translate(-centerX, -centerY);
 
                nextPaint = paint.u.rotate.paint;
                break;
            }
 
        case FT_COLR_PAINTFORMAT_SKEW:
            {
                qreal centerX = FROM_FIXED_16_16(paint.u.skew.center_x);
                qreal centerY = -FROM_FIXED_16_16(paint.u.skew.center_y);
                qreal angleX = FROM_FIXED_16_16(paint.u.skew.x_skew_angle) * M_PI;
                qreal angleY = -FROM_FIXED_16_16(paint.u.skew.y_skew_angle) * M_PI;
 
                xform.translate(centerX, centerY);
                xform.shear(qTan(angleX), qTan(angleY));
                xform.translate(-centerX, -centerY);
 
                nextPaint = paint.u.rotate.paint;
                break;
            }
        case FT_COLR_PAINTFORMAT_TRANSLATE:
            {
                qreal dx = FROM_FIXED_16_16(paint.u.translate.dx);
                qreal dy = -FROM_FIXED_16_16(paint.u.translate.dy);
 
                xform.translate(dx, dy);
                nextPaint = paint.u.rotate.paint;
                break;
            }
        default:
                Q_UNREACHABLE();
        };
 
        paintGraphRenderer->prependTransform(xform);
        if (!traverseColr1(nextPaint, loops, foregroundColor, palette, paletteCount, paintGraphRenderer))
            return false;
    } else if (paint.format == FT_COLR_PAINTFORMAT_LINEAR_GRADIENT
               || paint.format == FT_COLR_PAINTFORMAT_RADIAL_GRADIENT
               || paint.format == FT_COLR_PAINTFORMAT_SWEEP_GRADIENT
               || paint.format == FT_COLR_PAINTFORMAT_SOLID) {
        auto getPaletteColor = [&palette, &paletteCount, &foregroundColor](FT_UInt16 index,
                                                                           FT_F2Dot14 alpha) {
            QColor color;
            if (index < paletteCount) {
                const FT_Color &paletteColor = palette[index];
                color = qRgba(paletteColor.red,
                              paletteColor.green,
                              paletteColor.blue,
                              paletteColor.alpha);
            } else if (index == 0xffff) {
                color = foregroundColor;
            }
 
            if (color.isValid())
                color.setAlphaF(color.alphaF() * (alpha / 16384.0));
 
            return color;
        };
 
        auto gatherGradientStops = [&](FT_ColorStopIterator it) {
            QGradientStops ret;
            ret.resize(it.num_color_stops);
 
            FT_ColorStop colorStop;
            while (FT_Get_Colorline_Stops(face, &colorStop, &it)) {
                uint index = it.current_color_stop - 1;
                if (qsizetype(index) < ret.size()) {
                    QGradientStop &gradientStop = ret[index];
                    gradientStop.first = FROM_FIXED_16_16(colorStop.stop_offset);
                    gradientStop.second = getPaletteColor(colorStop.color.palette_index,
                                                          colorStop.color.alpha);
                }
            }
 
            return ret;
        };
 
        auto extendToSpread = [](FT_PaintExtend extend) {
            switch (extend) {
            case FT_COLR_PAINT_EXTEND_REPEAT:
                return QGradient::RepeatSpread;
            case FT_COLR_PAINT_EXTEND_REFLECT:
                return QGradient::ReflectSpread;
            default:
                return QGradient::PadSpread;
            }
        };
 
        if (paintGraphRenderer->isRendering()) {
            if (paint.format == FT_COLR_PAINTFORMAT_LINEAR_GRADIENT) {
                const qreal p0x = FROM_FIXED_16_16(paint.u.linear_gradient.p0.x);
                const qreal p0y = -FROM_FIXED_16_16(paint.u.linear_gradient.p0.y);
 
                const qreal p1x = FROM_FIXED_16_16(paint.u.linear_gradient.p1.x);
                const qreal p1y = -FROM_FIXED_16_16(paint.u.linear_gradient.p1.y);
 
                const qreal p2x = FROM_FIXED_16_16(paint.u.linear_gradient.p2.x);
                const qreal p2y = -FROM_FIXED_16_16(paint.u.linear_gradient.p2.y);
 
                QPointF p0(p0x, p0y);
                QPointF p1(p1x, p1y);
                QPointF p2(p2x, p2y);
 
                const QGradient::Spread spread =
                    extendToSpread(paint.u.linear_gradient.colorline.extend);
                const QGradientStops stops =
                    gatherGradientStops(paint.u.linear_gradient.colorline.color_stop_iterator);
                paintGraphRenderer->setLinearGradient(p0, p1, p2, spread, stops);
 
            } else if (paint.format == FT_COLR_PAINTFORMAT_RADIAL_GRADIENT) {
                const qreal c0x = FROM_FIXED_16_16(paint.u.radial_gradient.c0.x);
                const qreal c0y = -FROM_FIXED_16_16(paint.u.radial_gradient.c0.y);
                const qreal r0 = FROM_FIXED_16_16(paint.u.radial_gradient.r0);
                const qreal c1x = FROM_FIXED_16_16(paint.u.radial_gradient.c1.x);
                const qreal c1y = -FROM_FIXED_16_16(paint.u.radial_gradient.c1.y);
                const qreal r1 = FROM_FIXED_16_16(paint.u.radial_gradient.r1);
 
                const QPointF c0(c0x, c0y);
                const QPointF c1(c1x, c1y);
                const QGradient::Spread spread =
                    extendToSpread(paint.u.radial_gradient.colorline.extend);
                const QGradientStops stops =
                    gatherGradientStops(paint.u.radial_gradient.colorline.color_stop_iterator);
 
                paintGraphRenderer->setRadialGradient(c0, r0, c1, r1, spread, stops);
            } else if (paint.format == FT_COLR_PAINTFORMAT_SWEEP_GRADIENT) {
                const qreal centerX = FROM_FIXED_16_16(paint.u.sweep_gradient.center.x);
                const qreal centerY = -FROM_FIXED_16_16(paint.u.sweep_gradient.center.y);
                const qreal startAngle = 180.0 * FROM_FIXED_16_16(paint.u.sweep_gradient.start_angle);
                const qreal endAngle = 180.0 * FROM_FIXED_16_16(paint.u.sweep_gradient.end_angle);
 
                const QPointF center(centerX, centerY);
 
                const QGradient::Spread spread = extendToSpread(paint.u.radial_gradient.colorline.extend);
                const QGradientStops stops = gatherGradientStops(paint.u.sweep_gradient.colorline.color_stop_iterator);
 
                paintGraphRenderer->setConicalGradient(center, startAngle, endAngle, spread, stops);
 
            } else if (paint.format == FT_COLR_PAINTFORMAT_SOLID) {
                QColor color = getPaletteColor(paint.u.solid.color.palette_index,
                                               paint.u.solid.color.alpha);
                if (!color.isValid()) {
                    qCWarning(lcColrv1) << "Invalid palette index in COLRv1 graph:"
                                        << paint.u.solid.color.palette_index;
                    return false;
                }
 
                paintGraphRenderer->setSolidColor(color);
            }
        }
 
        paintGraphRenderer->drawCurrentPath();
    } else if (paint.format == FT_COLR_PAINTFORMAT_COMPOSITE) {
        if (!paintGraphRenderer->isRendering()) {
            if (!traverseColr1(paint.u.composite.backdrop_paint,
                               loops,
                               foregroundColor,
                               palette,
                               paletteCount,
                               paintGraphRenderer)) {
                return false;
            }
            if (!traverseColr1(paint.u.composite.source_paint,
                               loops,
                               foregroundColor,
                               palette,
                               paletteCount,
                               paintGraphRenderer)) {
                return false;
            }
        } else {
            QPainter::CompositionMode compositionMode = QPainter::CompositionMode_SourceOver;
            switch (paint.u.composite.composite_mode) {
            case FT_COLR_COMPOSITE_CLEAR:
                compositionMode = QPainter::CompositionMode_Clear;
                break;
            case FT_COLR_COMPOSITE_SRC:
                compositionMode = QPainter::CompositionMode_Source;
                break;
            case FT_COLR_COMPOSITE_DEST:
                compositionMode = QPainter::CompositionMode_Destination;
                break;
            case FT_COLR_COMPOSITE_SRC_OVER:
                compositionMode = QPainter::CompositionMode_SourceOver;
                break;
            case FT_COLR_COMPOSITE_DEST_OVER:
                compositionMode = QPainter::CompositionMode_DestinationOver;
                break;
            case FT_COLR_COMPOSITE_SRC_IN:
                compositionMode = QPainter::CompositionMode_SourceIn;
                break;
            case FT_COLR_COMPOSITE_DEST_IN:
                compositionMode = QPainter::CompositionMode_DestinationIn;
                break;
            case FT_COLR_COMPOSITE_SRC_OUT:
                compositionMode = QPainter::CompositionMode_SourceOut;
                break;
            case FT_COLR_COMPOSITE_DEST_OUT:
                compositionMode = QPainter::CompositionMode_DestinationOut;
                break;
            case FT_COLR_COMPOSITE_SRC_ATOP:
                compositionMode = QPainter::CompositionMode_SourceAtop;
                break;
            case FT_COLR_COMPOSITE_DEST_ATOP:
                compositionMode = QPainter::CompositionMode_DestinationAtop;
                break;
            case FT_COLR_COMPOSITE_XOR:
                compositionMode = QPainter::CompositionMode_Xor;
                break;
            case FT_COLR_COMPOSITE_PLUS:
                compositionMode = QPainter::CompositionMode_Plus;
                break;
            case FT_COLR_COMPOSITE_SCREEN:
                compositionMode = QPainter::CompositionMode_Screen;
                break;
            case FT_COLR_COMPOSITE_OVERLAY:
                compositionMode = QPainter::CompositionMode_Overlay;
                break;
            case FT_COLR_COMPOSITE_DARKEN:
                compositionMode = QPainter::CompositionMode_Darken;
                break;
            case FT_COLR_COMPOSITE_LIGHTEN:
                compositionMode = QPainter::CompositionMode_Lighten;
                break;
            case FT_COLR_COMPOSITE_COLOR_DODGE:
                compositionMode = QPainter::CompositionMode_ColorDodge;
                break;
            case FT_COLR_COMPOSITE_COLOR_BURN:
                compositionMode = QPainter::CompositionMode_ColorBurn;
                break;
            case FT_COLR_COMPOSITE_HARD_LIGHT:
                compositionMode = QPainter::CompositionMode_HardLight;
                break;
            case FT_COLR_COMPOSITE_SOFT_LIGHT:
                compositionMode = QPainter::CompositionMode_SoftLight;
                break;
            case FT_COLR_COMPOSITE_DIFFERENCE:
                compositionMode = QPainter::CompositionMode_Difference;
                break;
            case FT_COLR_COMPOSITE_EXCLUSION:
                compositionMode = QPainter::CompositionMode_Exclusion;
                break;
            case FT_COLR_COMPOSITE_MULTIPLY:
                compositionMode = QPainter::CompositionMode_Multiply;
                break;
            default:
                qCWarning(lcColrv1) << "Unsupported COLRv1 composition mode" << paint.u.composite.composite_mode;
                break;
            };
 
            QColrPaintGraphRenderer compositeRenderer;
            compositeRenderer.setBoundingRect(paintGraphRenderer->boundingRect());
            compositeRenderer.beginRender(fontDef.pixelSize / face->units_per_EM,
                                          paintGraphRenderer->currentTransform());
            if (!traverseColr1(paint.u.composite.backdrop_paint,
                               loops,
                               foregroundColor,
                               palette,
                               paletteCount,
                               &compositeRenderer)) {
                return false;
            }
 
            compositeRenderer.setCompositionMode(compositionMode);
            if (!traverseColr1(paint.u.composite.source_paint,
                               loops,
                               foregroundColor,
                               palette,
                               paletteCount,
                               &compositeRenderer)) {
                return false;
            }
            paintGraphRenderer->drawImage(compositeRenderer.endRender());
        }
    } else if (paint.format == FT_COLR_PAINTFORMAT_GLYPH) {
        FT_Error error = FT_Load_Glyph(face,
                                       paint.u.glyph.glyphID,
                                       FT_LOAD_DEFAULT | FT_LOAD_NO_BITMAP | FT_LOAD_NO_SVG | FT_LOAD_IGNORE_TRANSFORM | FT_LOAD_NO_HINTING | FT_LOAD_NO_AUTOHINT | FT_LOAD_BITMAP_METRICS_ONLY);
        if (error) {
            qCWarning(lcColrv1) << "Failed to load glyph"
                                << paint.u.glyph.glyphID
                                << "in COLRv1 graph. Error: " << error;
            return false;
        }
 
        QPainterPath path;
        QFreetypeFace::addGlyphToPath(face,
                                      face->glyph,
                                      QFixedPoint(0, 0),
                                      &path,
                                      face->units_per_EM << 6,
                                      face->units_per_EM << 6);
 
        paintGraphRenderer->appendPath(path);
 
        if (!traverseColr1(paint.u.glyph.paint, loops, foregroundColor, palette, paletteCount, paintGraphRenderer))
            return false;
    } else if (paint.format == FT_COLR_PAINTFORMAT_COLR_GLYPH) {
        FT_OpaquePaint otherOpaquePaint;
        otherOpaquePaint.p = nullptr;
        if (!FT_Get_Color_Glyph_Paint(face,
                                      paint.u.colr_glyph.glyphID,
                                      FT_COLOR_NO_ROOT_TRANSFORM,
                                      &otherOpaquePaint)) {
            qCWarning(lcColrv1) << "Failed to load color glyph"
                                << paint.u.colr_glyph.glyphID
                                << "in COLRv1 graph.";
            return false;
        }
 
        if (!traverseColr1(otherOpaquePaint, loops, foregroundColor, palette, paletteCount, paintGraphRenderer))
            return false;
    }
 
    return true;
}
 
QFontEngineFT::Glyph *QFontEngineFT::loadColrv1Glyph(QGlyphSet *set,
                                                     Glyph *g,
                                                     uint glyph,
                                                     const QColor &foregroundColor,
                                                     bool fetchMetricsOnly) const
{
    FT_Face face = freetype->face;
 
    GlyphInfo info;
    memset(&info, 0, sizeof(info));
 
    // Load advance metrics for glyph. As documented, these should come from the base
    // glyph record.
    FT_Load_Glyph(face, glyph, FT_LOAD_DEFAULT
                                   | FT_LOAD_NO_BITMAP
                                   | FT_LOAD_NO_SVG
                                   | FT_LOAD_BITMAP_METRICS_ONLY);
    info.linearAdvance = int(face->glyph->linearHoriAdvance >> 10);
    info.xOff = short(TRUNC(ROUND(face->glyph->advance.x)));
 
    FT_OpaquePaint opaquePaint;
    opaquePaint.p = nullptr;
    if (!FT_Get_Color_Glyph_Paint(face, glyph, FT_COLOR_INCLUDE_ROOT_TRANSFORM, &opaquePaint))
        return nullptr;
 
    // The scene graph is in design coordinate system, so we need to also get glyphs in this
    // coordinate system. We then scale all painting to the requested pixel size
    FT_Set_Char_Size(face, face->units_per_EM << 6, face->units_per_EM << 6, 0, 0);
 
    FT_Matrix matrix;
    FT_Vector delta;
    FT_Get_Transform(face, &matrix, &delta);
    QTransform originalXform(FROM_FIXED_16_16(matrix.xx), -FROM_FIXED_16_16(matrix.yx),
                             -FROM_FIXED_16_16(matrix.xy), FROM_FIXED_16_16(matrix.yy),
                             FROM_FIXED_16_16(delta.x), FROM_FIXED_16_16(delta.y));
 
 
    // Also clear transform to ensure we operate in design metrics
    FT_Set_Transform(face, nullptr, nullptr);
 
    auto cleanup = qScopeGuard([&]() {
        // Reset stuff we changed
        FT_Set_Char_Size(face, xsize, ysize, 0, 0);
        FT_Set_Transform(face, &matrix, &delta);
    });
 
    qCDebug(lcColrv1).noquote() << "================== Start collecting COLRv1 metrics for" << glyph;
    QRect designCoordinateBounds;
 
    // Getting metrics is done multiple times per glyph while entering it into the cache.
    // Since this may need to be calculated, we cache the last one for sequential calls.
    if (colrv1_bounds_cache_id == glyph) {
        designCoordinateBounds = colrv1_bounds_cache;
    } else {
        // COLRv1 fonts can optionally have a clip box for quicker retrieval of metrics. We try
        // to get this, and if there is none, we calculate the bounds by traversing the graph.
        FT_ClipBox clipBox;
        if (FT_Get_Color_Glyph_ClipBox(face, glyph, &clipBox)) {
            FT_Pos left = qMin(clipBox.bottom_left.x, qMin(clipBox.bottom_right.x, qMin(clipBox.top_left.x, clipBox.top_right.x)));
            FT_Pos right = qMax(clipBox.bottom_left.x, qMax(clipBox.bottom_right.x, qMax(clipBox.top_left.x, clipBox.top_right.x)));
 
            FT_Pos top = qMin(-clipBox.bottom_left.y, qMin(-clipBox.bottom_right.y, qMin(-clipBox.top_left.y, -clipBox.top_right.y)));
            FT_Pos bottom = qMax(-clipBox.bottom_left.y, qMax(-clipBox.bottom_right.y, qMax(-clipBox.top_left.y, -clipBox.top_right.y)));
 
            qreal scale = 1.0 / 64.0;
            designCoordinateBounds = QRect(QPoint(qFloor(left * scale), qFloor(top * scale)),
                                           QPoint(qCeil(right * scale), qCeil(bottom * scale)));
        } else {
            // Do a pass over the graph to find the bounds
            QColrPaintGraphRenderer boundingRectCalculator;
            boundingRectCalculator.beginCalculateBoundingBox();
            QSet<std::pair<FT_Byte *, FT_Bool> > loops;
            if (traverseColr1(opaquePaint,
                              &loops,
                              QColor{},
                              nullptr,
                              0,
                              &boundingRectCalculator)) {
                designCoordinateBounds = boundingRectCalculator.boundingRect().toAlignedRect();
            }
        }
 
        colrv1_bounds_cache_id = glyph;
        colrv1_bounds_cache = designCoordinateBounds;
    }
 
    QTransform initialTransform;
    initialTransform.scale(fontDef.pixelSize / face->units_per_EM,
                           fontDef.pixelSize / face->units_per_EM);
    QRect bounds = initialTransform.mapRect(designCoordinateBounds);
    bounds = originalXform.mapRect(bounds);
 
    info.x = bounds.left();
    info.y = -bounds.top();
    info.width = bounds.width();
    info.height = bounds.height();
 
    qCDebug(lcColrv1) << "Bounds of" << glyph << "==" << bounds;
 
    // If requested, we now render the scene graph into an image using QPainter
    QImage destinationImage;
    if (!fetchMetricsOnly && !bounds.size().isEmpty()) {
        FT_Palette_Data paletteData;
        if (FT_Palette_Data_Get(face, &paletteData))
            return nullptr;
 
        FT_Color *palette = nullptr;
        FT_Error error = FT_Palette_Select(face, 0, &palette);
        if (error) {
            qWarning("selecting palette for COLRv1 failed, err=%x face=%p, glyph=%d",
                     error,
                     face,
                     glyph);
        }
 
        if (palette == nullptr)
            return nullptr;
 
        ushort paletteCount = paletteData.num_palette_entries;
 
        QColrPaintGraphRenderer paintGraphRenderer;
        paintGraphRenderer.setBoundingRect(bounds);
        paintGraphRenderer.beginRender(fontDef.pixelSize / face->units_per_EM,
                                       originalXform);
 
        // Render
        QSet<std::pair<FT_Byte *, FT_Bool> > loops;
        if (!traverseColr1(opaquePaint,
                           &loops,
                           foregroundColor,
                           palette,
                           paletteCount,
                           &paintGraphRenderer)) {
            return nullptr;
        }
 
        destinationImage = paintGraphRenderer.endRender();
    }
 
    if (fetchMetricsOnly || !destinationImage.isNull()) {
        if (g == nullptr) {
            g = new Glyph;
            g->data = nullptr;
            if (set != nullptr)
                set->setGlyph(glyph, QFixedPoint{}, g);
        }
 
        g->linearAdvance = info.linearAdvance;
        g->width = info.width;
        g->height = info.height;
        g->x = info.x;
        g->y = info.y;
        g->advance = info.xOff;
        g->format = Format_ARGB;
 
        if (!fetchMetricsOnly && !destinationImage.isNull()) {
            g->data = new uchar[info.height * info.width * 4];
            memcpy(g->data, destinationImage.constBits(), info.height * info.width * 4);
        }
 
        return g;
    }
 
    return nullptr;
}
#endif // QFONTENGINE_FT_SUPPORT_COLRV1
 
QFontEngineFT::Glyph *QFontEngineFT::loadGlyph(QGlyphSet *set, uint glyph,
                                               const QFixedPoint &subPixelPosition,
                                               QColor color,
                                               GlyphFormat format,
                                               bool fetchMetricsOnly,
                                               bool disableOutlineDrawing) const
{
//     Q_ASSERT(freetype->lock == 1);
 
    if (format == Format_None)
        format = defaultFormat != Format_None ? defaultFormat : Format_Mono;
    Q_ASSERT(format != Format_None);
 
    Glyph *g = set ? set->getGlyph(glyph, subPixelPosition) : nullptr;
    if (g && g->format == format && (fetchMetricsOnly || g->data))
        return g;
 
    if (!g && set && set->isGlyphMissing(glyph))
        return &emptyGlyph;
 
 
    FT_Face face = freetype->face;
 
    FT_Matrix matrix = freetype->matrix;
    bool transform = matrix.xx != 0x10000
                    || matrix.yy != 0x10000
                    || matrix.xy != 0
                    || matrix.yx != 0;
    if (obliquen && transform) {
        // We have to apply the obliquen transformation before any
        // other transforms. This means we need to duplicate Freetype's
        // obliquen matrix here and this has to be kept in sync.
        FT_Matrix slant;
        slant.xx = 0x10000L;
        slant.yx = 0;
        slant.xy = 0x0366A;
        slant.yy = 0x10000L;
 
        FT_Matrix_Multiply(&matrix, &slant);
        matrix = slant;
    }
 
    FT_Vector v;
    v.x = format == Format_Mono ? 0 : FT_Pos(subPixelPosition.x.value());
    v.y = format == Format_Mono ? 0 : FT_Pos(-subPixelPosition.y.value());
    FT_Set_Transform(face, &matrix, &v);
 
    bool hsubpixel = false;
    int vfactor = 1;
    int load_flags = loadFlags(set, format, 0, hsubpixel, vfactor);
 
    if (transform || obliquen || (format != Format_Mono && !isScalableBitmap()))
        load_flags |= FT_LOAD_NO_BITMAP;
 
#if (FREETYPE_MAJOR*10000 + FREETYPE_MINOR*100 + FREETYPE_PATCH) >= 20701
    // Only the advance/metrics are needed here, not the rendered bitmap
    if (fetchMetricsOnly)
        load_flags |= FT_LOAD_BITMAP_METRICS_ONLY;
#endif
 
#if defined(QFONTENGINE_FT_SUPPORT_COLRV1)
    if (FT_IS_SCALABLE(freetype->face)
        && FT_HAS_COLOR(freetype->face)
        && (load_flags & FT_LOAD_COLOR)) {
        // Try loading COLRv1 glyph if possible.
        Glyph *ret = loadColrv1Glyph(set, g, glyph, color, fetchMetricsOnly);
        if (ret != nullptr)
            return ret;
    }
#else
    Q_UNUSED(color);
#endif
 
    FT_Error err = FT_Load_Glyph(face, glyph, load_flags);
    if (err && (load_flags & FT_LOAD_NO_BITMAP)) {
        load_flags &= ~FT_LOAD_NO_BITMAP;
        err = FT_Load_Glyph(face, glyph, load_flags);
    }
    if (err == FT_Err_Too_Few_Arguments) {
        // this is an error in the bytecode interpreter, just try to run without it
        load_flags |= FT_LOAD_FORCE_AUTOHINT;
        err = FT_Load_Glyph(face, glyph, load_flags);
    } else if (err == FT_Err_Execution_Too_Long) {
        // This is an error in the bytecode, probably a web font made by someone who
        // didn't test bytecode hinting at all so disable for it for all glyphs.
        qWarning("load glyph failed due to broken hinting bytecode in font, switching to auto hinting");
        default_load_flags |= FT_LOAD_FORCE_AUTOHINT;
        load_flags |= FT_LOAD_FORCE_AUTOHINT;
        err = FT_Load_Glyph(face, glyph, load_flags);
    }
    if (err != FT_Err_Ok) {
        qWarning("load glyph failed err=%x face=%p, glyph=%d", err, face, glyph);
        if (set)
            set->setGlyphMissing(glyph);
        return &emptyGlyph;
    }
 
    FT_GlyphSlot slot = face->glyph;
 
    if (embolden)
        FT_GlyphSlot_Embolden(slot);
    if (obliquen && !transform) {
        FT_GlyphSlot_Oblique(slot);
 
        // While Embolden alters the metrics of the slot, oblique does not, so we need
        // to fix this ourselves.
        transform = true;
        FT_Matrix m;
        m.xx = 0x10000;
        m.yx = 0x0;
        m.xy = 0x6000;
        m.yy = 0x10000;
 
        FT_Matrix_Multiply(&m, &matrix);
    }
 
    GlyphInfo info;
    info.linearAdvance = slot->linearHoriAdvance >> 10;
    info.xOff = TRUNC(ROUND(slot->advance.x));
    info.yOff = 0;
 
    if ((set && set->outline_drawing && !disableOutlineDrawing) || fetchMetricsOnly) {
        int left  = slot->metrics.horiBearingX;
        int right = slot->metrics.horiBearingX + slot->metrics.width;
        int top    = slot->metrics.horiBearingY;
        int bottom = slot->metrics.horiBearingY - slot->metrics.height;
 
        if (transform && slot->format != FT_GLYPH_FORMAT_BITMAP)
            transformBoundingBox(&left, &top, &right, &bottom, &matrix);
 
        left = FLOOR(left);
        right = CEIL(right);
        bottom = FLOOR(bottom);
        top = CEIL(top);
 
        info.x = TRUNC(left);
        info.y = TRUNC(top);
        info.width = TRUNC(right - left);
        info.height = TRUNC(top - bottom);
 
        // If any of the metrics are too large to fit, don't cache them
        // Also, avoid integer overflow when linearAdvance is to large to fit in a signed short
        if (areMetricsTooLarge(info))
            return nullptr;
 
        g = new Glyph;
        g->data = nullptr;
        g->linearAdvance = info.linearAdvance;
        g->width = info.width;
        g->height = info.height;
        g->x = info.x;
        g->y = info.y;
        g->advance = info.xOff;
        g->format = format;
 
        if (set)
            set->setGlyph(glyph, subPixelPosition, g);
 
        return g;
    }
 
    if (slot->format == FT_GLYPH_FORMAT_OUTLINE) {
        const QTransform xform(matrix.xx / 65536.0, matrix.xy / 65536.0,
                               matrix.yx / 65536.0, matrix.yy / 65536.0, 0, 0);
        FT_BBox cbox;
        FT_Outline_Get_CBox(&slot->outline, &cbox);
        const qreal glyphWidth = qreal((cbox.xMax - cbox.xMin) >> 6);
        const qreal glyphHeight = qreal((cbox.yMax - cbox.yMin) >> 6);
        if (glyphBoundingBoxExceedsLimit(glyphWidth, glyphHeight, effectivePixelSizeSquared(xform))) {
            if (set)
                set->setGlyphMissing(glyph);
            return &emptyGlyph;
        }
    }
 
    int glyph_buffer_size = 0;
    std::unique_ptr<uchar[]> glyph_buffer;
    FT_Render_Mode renderMode = (default_hint_style == HintLight) ? FT_RENDER_MODE_LIGHT : FT_RENDER_MODE_NORMAL;
    switch (format) {
    case Format_Mono:
        renderMode = FT_RENDER_MODE_MONO;
        break;
    case Format_A32:
        if (!hsubpixel && vfactor == 1) {
            qWarning("Format_A32 requested, but subpixel layout is unknown.");
            return nullptr;
        }
 
        renderMode = hsubpixel ? FT_RENDER_MODE_LCD : FT_RENDER_MODE_LCD_V;
        break;
    case Format_A8:
    case Format_ARGB:
        break;
    default:
        Q_UNREACHABLE();
    }
    FT_Library_SetLcdFilter(slot->library, (FT_LcdFilter)lcdFilterType);
 
    err = FT_Render_Glyph(slot, renderMode);
    FT_Library_SetLcdFilter(slot->library, FT_LCD_FILTER_NONE);
 
    if (err != FT_Err_Ok) {
        qWarning("render glyph failed err=%x face=%p, glyph=%d", err, face, glyph);
        return nullptr;
    }
 
    info.height = slot->bitmap.rows;
    info.width = slot->bitmap.width;
    info.x = slot->bitmap_left;
    info.y = slot->bitmap_top;
    if (slot->bitmap.pixel_mode == FT_PIXEL_MODE_LCD)
        info.width = info.width / 3;
    if (slot->bitmap.pixel_mode == FT_PIXEL_MODE_LCD_V)
        info.height = info.height / vfactor;
 
    int pitch = (format == Format_Mono ? ((info.width + 31) & ~31) >> 3 :
                 (format == Format_A8 ? (info.width + 3) & ~3 : info.width * 4));
 
    glyph_buffer_size = info.height * pitch;
    glyph_buffer.reset(new uchar[glyph_buffer_size]);
 
    if (slot->bitmap.pixel_mode == FT_PIXEL_MODE_MONO) {
        uchar *src = slot->bitmap.buffer;
        uchar *dst = glyph_buffer.get();
        int h = slot->bitmap.rows;
        // Some fonts return bitmaps even when we requested something else:
        if (format == Format_Mono) {
            int bytes = ((info.width + 7) & ~7) >> 3;
            while (h--) {
                memcpy (dst, src, bytes);
                dst += pitch;
                src += slot->bitmap.pitch;
            }
        } else if (format == Format_A8) {
            while (h--) {
                for (int x = 0; x < int{info.width}; x++)
                    dst[x] = ((src[x >> 3] & (0x80 >> (x & 7))) ? 0xff : 0x00);
                dst += pitch;
                src += slot->bitmap.pitch;
            }
        } else {
            while (h--) {
                uint *dd = reinterpret_cast<uint *>(dst);
                for (int x = 0; x < int{info.width}; x++)
                    dd[x] = ((src[x >> 3] & (0x80 >> (x & 7))) ? 0xffffffff : 0x00000000);
                dst += pitch;
                src += slot->bitmap.pitch;
            }
        }
    } else if (slot->bitmap.pixel_mode == 7 /*FT_PIXEL_MODE_BGRA*/) {
        Q_ASSERT(format == Format_ARGB);
        uchar *src = slot->bitmap.buffer;
        uchar *dst = glyph_buffer.get();
        int h = slot->bitmap.rows;
        while (h--) {
#if Q_BYTE_ORDER == Q_BIG_ENDIAN
            const quint32 *srcPixel = (const quint32 *)src;
            quint32 *dstPixel = (quint32 *)dst;
            for (int x = 0; x < static_cast<int>(slot->bitmap.width); x++, srcPixel++, dstPixel++) {
                const quint32 pixel = *srcPixel;
                *dstPixel = qbswap(pixel);
            }
#else
            memcpy(dst, src, slot->bitmap.width * 4);
#endif
            dst += slot->bitmap.pitch;
            src += slot->bitmap.pitch;
        }
        info.linearAdvance = info.xOff = slot->bitmap.width;
    } else if (slot->bitmap.pixel_mode == FT_PIXEL_MODE_GRAY) {
        if (format == Format_A8) {
            uchar *src = slot->bitmap.buffer;
            uchar *dst = glyph_buffer.get();
            int h = slot->bitmap.rows;
            int bytes = info.width;
            while (h--) {
                memcpy (dst, src, bytes);
                dst += pitch;
                src += slot->bitmap.pitch;
            }
        } else if (format == Format_ARGB) {
            uchar *src = slot->bitmap.buffer;
            quint32 *dstPixel = reinterpret_cast<quint32 *>(glyph_buffer.get());
            int h = slot->bitmap.rows;
            while (h--) {
                for (int x = 0; x < static_cast<int>(slot->bitmap.width); ++x) {
                    uchar alpha = src[x];
                    float alphaF = alpha / 255.0;
                    dstPixel[x] = qRgba(qRound(alphaF * color.red()),
                                        qRound(alphaF * color.green()),
                                        qRound(alphaF * color.blue()),
                                        alpha);
                }
                src += slot->bitmap.pitch;
                dstPixel += info.width;
            }
        }
    } else if (slot->bitmap.pixel_mode == FT_PIXEL_MODE_LCD) {
        Q_ASSERT(format == Format_A32);
        convertRGBToARGB(slot->bitmap.buffer, (uint *)glyph_buffer.get(), info.width, info.height, slot->bitmap.pitch, subpixelType != Subpixel_RGB);
    } else if (slot->bitmap.pixel_mode == FT_PIXEL_MODE_LCD_V) {
        Q_ASSERT(format == Format_A32);
        convertRGBToARGB_V(slot->bitmap.buffer, (uint *)glyph_buffer.get(), info.width, info.height, slot->bitmap.pitch, subpixelType != Subpixel_VRGB);
    } else {
        qWarning("QFontEngine: Glyph rendered in unknown pixel_mode=%d", slot->bitmap.pixel_mode);
        return nullptr;
    }
 
    if (!g) {
        g = new Glyph;
        g->data = nullptr;
    }
 
    g->linearAdvance = info.linearAdvance;
    g->width = info.width;
    g->height = info.height;
    g->x = info.x;
    g->y = info.y;
    g->advance = info.xOff;
    g->format = format;
    delete [] g->data;
    g->data = glyph_buffer.release();
 
    if (set)
        set->setGlyph(glyph, subPixelPosition, g);
 
    return g;
}
 
QFontEngine::FaceId QFontEngineFT::faceId() const
{
    return face_id;
}
 
QFontEngine::Properties QFontEngineFT::properties() const
{
    Properties p = freetype->properties();
    if (p.postscriptName.isEmpty()) {
        p.postscriptName = QFontEngine::convertToPostscriptFontFamilyName(fontDef.family().toUtf8());
    }
 
    return freetype->properties();
}
 
QFixed QFontEngineFT::emSquareSize() const
{
    if (FT_IS_SCALABLE(freetype->face))
        return freetype->face->units_per_EM;
    else
        return freetype->face->size->metrics.y_ppem;
}
 
bool QFontEngineFT::getSfntTableData(uint tag, uchar *buffer, uint *length) const
{
    return ft_getSfntTable(freetype->face, tag, buffer, length);
}
 
int QFontEngineFT::synthesized() const
{
    int s = 0;
    if ((fontDef.style != QFont::StyleNormal) && !(freetype->face->style_flags & FT_STYLE_FLAG_ITALIC))
        s = SynthesizedItalic;
    if ((fontDef.weight >= QFont::Bold) && !(freetype->face->style_flags & FT_STYLE_FLAG_BOLD))
        s |= SynthesizedBold;
    if (fontDef.stretch != 100 && FT_IS_SCALABLE(freetype->face))
        s |= SynthesizedStretch;
    return s;
}
 
void QFontEngineFT::initializeHeightMetrics() const
{
    m_ascent = QFixed::fromFixed(metrics.ascender);
    m_descent = QFixed::fromFixed(-metrics.descender);
    m_leading = QFixed::fromFixed(metrics.height - metrics.ascender + metrics.descender);
 
    QFontEngine::initializeHeightMetrics();
 
    if (scalableBitmapScaleFactor != 1) {
        m_ascent *= scalableBitmapScaleFactor;
        m_descent *= scalableBitmapScaleFactor;
        m_leading *= scalableBitmapScaleFactor;
    }
}
 
QFixed QFontEngineFT::capHeight() const
{
    TT_OS2 *os2 = (TT_OS2 *)FT_Get_Sfnt_Table(freetype->face, ft_sfnt_os2);
    if (os2 && os2->version >= 2) {
        lockFace();
        QFixed answer = QFixed::fromFixed(FT_MulFix(os2->sCapHeight, freetype->face->size->metrics.y_scale));
        unlockFace();
        return answer;
    }
    return calculatedCapHeight();
}
 
QFixed QFontEngineFT::xHeight() const
{
    TT_OS2 *os2 = (TT_OS2 *)FT_Get_Sfnt_Table(freetype->face, ft_sfnt_os2);
    if (os2 && os2->sxHeight) {
        lockFace();
        QFixed answer = QFixed(os2->sxHeight * freetype->face->size->metrics.y_ppem) / emSquareSize();
        unlockFace();
        return answer;
    }
 
    return QFontEngine::xHeight();
}
 
QFixed QFontEngineFT::averageCharWidth() const
{
     TT_OS2 *os2 = (TT_OS2 *)FT_Get_Sfnt_Table(freetype->face, ft_sfnt_os2);
     if (os2 && os2->xAvgCharWidth) {
         lockFace();
         QFixed answer = QFixed(os2->xAvgCharWidth * freetype->face->size->metrics.x_ppem) / emSquareSize();
         unlockFace();
         return answer;
     }
 
     return QFontEngine::averageCharWidth();
}
 
qreal QFontEngineFT::maxCharWidth() const
{
    QFixed max_advance = QFixed::fromFixed(metrics.max_advance);
    if (scalableBitmapScaleFactor != 1)
        max_advance *= scalableBitmapScaleFactor;
    return max_advance.toReal();
}
 
QFixed QFontEngineFT::lineThickness() const
{
    return line_thickness;
}
 
QFixed QFontEngineFT::underlinePosition() const
{
    return underline_position;
}
 
void QFontEngineFT::doKerning(QGlyphLayout *g, QFontEngine::ShaperFlags flags) const
{
    if (!kerning_pairs_loaded) {
        kerning_pairs_loaded = true;
        lockFace();
        if (freetype->face->size->metrics.x_ppem != 0) {
            QFixed scalingFactor = emSquareSize() / QFixed(freetype->face->size->metrics.x_ppem);
            unlockFace();
            const_cast<QFontEngineFT *>(this)->loadKerningPairs(scalingFactor);
        } else {
            unlockFace();
        }
    }
 
    if (shouldUseDesignMetrics(flags))
        flags |= DesignMetrics;
    else
        flags &= ~DesignMetrics;
 
    QFontEngine::doKerning(g, flags);
}
 
static inline FT_Matrix QTransformToFTMatrix(const QTransform &matrix)
{
    FT_Matrix m;
 
    m.xx = FT_Fixed(matrix.m11() * 65536);
    m.xy = FT_Fixed(-matrix.m21() * 65536);
    m.yx = FT_Fixed(-matrix.m12() * 65536);
    m.yy = FT_Fixed(matrix.m22() * 65536);
 
    return m;
}
 
QFontEngineFT::QGlyphSet *QFontEngineFT::TransformedGlyphSets::findSet(const QTransform &matrix, const QFontDef &fontDef)
{
    FT_Matrix m = QTransformToFTMatrix(matrix);
 
    int i = 0;
    for (; i < nSets; ++i) {
        QGlyphSet *g = sets[i];
        if (!g)
            break;
        if (g->transformationMatrix.xx == m.xx
            && g->transformationMatrix.xy == m.xy
            && g->transformationMatrix.yx == m.yx
            && g->transformationMatrix.yy == m.yy) {
 
            // found a match, move it to the front
            moveToFront(i);
            return g;
        }
    }
 
    // don't cache more than nSets transformations
    if (i == nSets)
        // reuse the last set
        --i;
    moveToFront(nSets - 1);
    if (!sets[0])
        sets[0] = new QGlyphSet;
    QGlyphSet *gs = sets[0];
    Q_ASSERT(gs != nullptr);
 
    gs->clear();
    gs->transformationMatrix = m;
    const int maxCachedSize = maxCachedGlyphSize();
    gs->outline_drawing = fontDef.pixelSize * fontDef.pixelSize * qAbs(matrix.determinant()) > maxCachedSize * maxCachedSize;
 
    return gs;
}
 
void QFontEngineFT::TransformedGlyphSets::moveToFront(int i)
{
    QGlyphSet *g = sets[i];
    while (i > 0) {
        sets[i] = sets[i - 1];
        --i;
    }
    sets[0] = g;
}
 
 
QFontEngineFT::QGlyphSet *QFontEngineFT::loadGlyphSet(const QTransform &matrix)
{
    if (matrix.type() > QTransform::TxShear || !cacheEnabled)
        return nullptr;
 
    // FT_Set_Transform only supports scalable fonts
    if (!FT_IS_SCALABLE(freetype->face))
        return matrix.type() <= QTransform::TxTranslate ? &defaultGlyphSet : nullptr;
 
    return transformedGlyphSets.findSet(matrix, fontDef);
}
 
void QFontEngineFT::getUnscaledGlyph(glyph_t glyph, QPainterPath *path, glyph_metrics_t *metrics)
{
    FT_Face face = lockFace(Unscaled);
    FT_Set_Transform(face, nullptr, nullptr);
    FT_Load_Glyph(face, glyph, FT_LOAD_NO_BITMAP);
 
    int left  = face->glyph->metrics.horiBearingX;
    int right = face->glyph->metrics.horiBearingX + face->glyph->metrics.width;
    int top    = face->glyph->metrics.horiBearingY;
    int bottom = face->glyph->metrics.horiBearingY - face->glyph->metrics.height;
 
    QFixedPoint p;
    p.x = 0;
    p.y = 0;
 
    metrics->width = QFixed::fromFixed(right-left);
    metrics->height = QFixed::fromFixed(top-bottom);
    metrics->x = QFixed::fromFixed(left);
    metrics->y = QFixed::fromFixed(-top);
    metrics->xoff = QFixed::fromFixed(face->glyph->advance.x);
 
    if (!FT_IS_SCALABLE(freetype->face))
        QFreetypeFace::addBitmapToPath(face->glyph, p, path);
    else
        QFreetypeFace::addGlyphToPath(face, face->glyph, p, path, face->units_per_EM << 6, face->units_per_EM << 6);
 
    FT_Set_Transform(face, &freetype->matrix, nullptr);
    unlockFace();
}
 
bool QFontEngineFT::supportsTransformation(const QTransform &transform) const
{
    return transform.type() <= QTransform::TxRotate;
}
 
void QFontEngineFT::addOutlineToPath(qreal x, qreal y, const QGlyphLayout &glyphs, QPainterPath *path, QTextItem::RenderFlags flags)
{
    if (!glyphs.numGlyphs)
        return;
 
    if (FT_IS_SCALABLE(freetype->face)) {
        QFontEngine::addOutlineToPath(x, y, glyphs, path, flags);
    } else {
        QVarLengthArray<QFixedPoint> positions;
        QVarLengthArray<glyph_t> positioned_glyphs;
        QTransform matrix;
        matrix.translate(x, y);
        getGlyphPositions(glyphs, matrix, flags, positioned_glyphs, positions);
 
        FT_Face face = lockFace(Unscaled);
        for (int gl = 0; gl < glyphs.numGlyphs; gl++) {
            FT_UInt glyph = positioned_glyphs[gl];
            FT_Load_Glyph(face, glyph, FT_LOAD_TARGET_MONO);
            QFreetypeFace::addBitmapToPath(face->glyph, positions[gl], path);
        }
        unlockFace();
    }
}
 
void QFontEngineFT::addGlyphsToPath(glyph_t *glyphs, QFixedPoint *positions, int numGlyphs,
                                    QPainterPath *path, QTextItem::RenderFlags)
{
    FT_Face face = lockFace(Unscaled);
 
    for (int gl = 0; gl < numGlyphs; gl++) {
        FT_UInt glyph = glyphs[gl];
 
        FT_Load_Glyph(face, glyph, FT_LOAD_NO_BITMAP);
 
        FT_GlyphSlot g = face->glyph;
        if (g->format != FT_GLYPH_FORMAT_OUTLINE)
            continue;
        if (embolden)
            FT_GlyphSlot_Embolden(g);
        if (obliquen)
            FT_GlyphSlot_Oblique(g);
        QFreetypeFace::addGlyphToPath(face, g, positions[gl], path, xsize, ysize);
    }
    unlockFace();
}
 
glyph_t QFontEngineFT::glyphIndex(uint ucs4) const
{
    glyph_t glyph = ucs4 < QFreetypeFace::cmapCacheSize ? freetype->cmapCache[ucs4] : 0;
    if (glyph == 0) {
        FT_Face face = freetype->face;
        glyph = FT_Get_Char_Index(face, ucs4);
        if (glyph == 0) {
            // Certain fonts don't have no-break space and tab,
            // while we usually want to render them as space
            if (ucs4 == QChar::Nbsp || ucs4 == QChar::Tabulation) {
                glyph = FT_Get_Char_Index(face, QChar::Space);
            } else if (freetype->symbol_map) {
                // Symbol fonts can have more than one CMAPs, FreeType should take the
                // correct one for us by default, so we always try FT_Get_Char_Index
                // first. If it didn't work (returns 0), we will explicitly set the
                // CMAP to symbol font one and try again. symbol_map is not always the
                // correct one because in certain fonts like Wingdings symbol_map only
                // contains PUA codepoints instead of the common ones.
                FT_Set_Charmap(face, freetype->symbol_map);
                glyph = FT_Get_Char_Index(face, ucs4);
                FT_Set_Charmap(face, freetype->unicode_map);
                if (!glyph && symbol && ucs4 < 0x100)
                    glyph = FT_Get_Char_Index(face, ucs4 + 0xf000);
            }
        }
        if (ucs4 < QFreetypeFace::cmapCacheSize)
            freetype->cmapCache[ucs4] = glyph;
    }
 
    return glyph;
}
 
QString QFontEngineFT::glyphName(glyph_t index) const
{
    QString result;
    if (index >= glyph_t(glyphCount()))
        return result;
 
    FT_Face face = freetype->face;
    if (face->face_flags & FT_FACE_FLAG_GLYPH_NAMES) {
        char glyphName[128] = {};
        if (FT_Get_Glyph_Name(face, index, glyphName, sizeof(glyphName)) == 0)
            result = QString::fromUtf8(glyphName);
    }
 
    return result.isEmpty() ? QFontEngine::glyphName(index) : result;
}
 
int QFontEngineFT::stringToCMap(const QChar *str, int len, QGlyphLayout *glyphs, int *nglyphs,
                                 QFontEngine::ShaperFlags flags) const
{
    Q_ASSERT(glyphs->numGlyphs >= *nglyphs);
    if (*nglyphs < len) {
        *nglyphs = len;
        return -1;
    }
 
    int mappedGlyphs = 0;
    int glyph_pos = 0;
    if (freetype->symbol_map) {
        FT_Face face = freetype->face;
        QStringIterator it(str, str + len);
        while (it.hasNext()) {
            uint uc = it.next();
            glyphs->glyphs[glyph_pos] = uc < QFreetypeFace::cmapCacheSize ? freetype->cmapCache[uc] : 0;
            if ( !glyphs->glyphs[glyph_pos] ) {
                // Symbol fonts can have more than one CMAPs, FreeType should take the
                // correct one for us by default, so we always try FT_Get_Char_Index
                // first. If it didn't work (returns 0), we will explicitly set the
                // CMAP to symbol font one and try again. symbol_map is not always the
                // correct one because in certain fonts like Wingdings symbol_map only
                // contains PUA codepoints instead of the common ones.
                glyph_t glyph = FT_Get_Char_Index(face, uc);
                // Certain symbol fonts don't have no-break space (0xa0) and tab (0x9),
                // while we usually want to render them as space
                if (!glyph && (uc == 0xa0 || uc == 0x9)) {
                    uc = 0x20;
                    glyph = FT_Get_Char_Index(face, uc);
                }
                if (!glyph) {
                    FT_Set_Charmap(face, freetype->symbol_map);
                    glyph = FT_Get_Char_Index(face, uc);
                    FT_Set_Charmap(face, freetype->unicode_map);
                    if (!glyph && symbol && uc < 0x100)
                        glyph = FT_Get_Char_Index(face, uc + 0xf000);
                }
                glyphs->glyphs[glyph_pos] = glyph;
                if (uc < QFreetypeFace::cmapCacheSize)
                    freetype->cmapCache[uc] = glyph;
            }
            if (glyphs->glyphs[glyph_pos] || isIgnorableChar(uc))
                mappedGlyphs++;
            ++glyph_pos;
        }
    } else {
        FT_Face face = freetype->face;
        QStringIterator it(str, str + len);
        while (it.hasNext()) {
            uint uc = it.next();
            glyphs->glyphs[glyph_pos] = uc < QFreetypeFace::cmapCacheSize ? freetype->cmapCache[uc] : 0;
            if (!glyphs->glyphs[glyph_pos]) {
                {
                redo:
                    glyph_t glyph = FT_Get_Char_Index(face, uc);
                    if (!glyph && (uc == 0xa0 || uc == 0x9)) {
                        uc = 0x20;
                        goto redo;
                    }
                    glyphs->glyphs[glyph_pos] = glyph;
                    if (uc < QFreetypeFace::cmapCacheSize)
                        freetype->cmapCache[uc] = glyph;
                }
            }
            if (glyphs->glyphs[glyph_pos] || isIgnorableChar(uc))
                mappedGlyphs++;
            ++glyph_pos;
        }
    }
 
    *nglyphs = glyph_pos;
    glyphs->numGlyphs = glyph_pos;
 
    if (!(flags & GlyphIndicesOnly))
        recalcAdvances(glyphs, flags);
 
    return mappedGlyphs;
}
 
bool QFontEngineFT::shouldUseDesignMetrics(QFontEngine::ShaperFlags flags) const
{
    if (!FT_IS_SCALABLE(freetype->face))
        return false;
 
    return default_hint_style == HintNone || default_hint_style == HintLight || (flags & DesignMetrics);
}
 
QFixed QFontEngineFT::scaledBitmapMetrics(QFixed m) const
{
    return m * scalableBitmapScaleFactor;
}
 
glyph_metrics_t QFontEngineFT::scaledBitmapMetrics(const glyph_metrics_t &m, const QTransform &t) const
{
    QTransform trans;
    trans.setMatrix(t.m11(), t.m12(), t.m13(),
                    t.m21(), t.m22(), t.m23(),
                    0, 0, t.m33());
    const qreal scaleFactor = scalableBitmapScaleFactor.toReal();
    trans.scale(scaleFactor, scaleFactor);
 
    QRectF rect(m.x.toReal(), m.y.toReal(), m.width.toReal(), m.height.toReal());
    QPointF offset(m.xoff.toReal(), m.yoff.toReal());
 
    rect = trans.mapRect(rect);
    offset = trans.map(offset);
 
    glyph_metrics_t metrics;
    metrics.x = QFixed::fromReal(rect.x());
    metrics.y = QFixed::fromReal(rect.y());
    metrics.width = QFixed::fromReal(rect.width());
    metrics.height = QFixed::fromReal(rect.height());
    metrics.xoff = QFixed::fromReal(offset.x());
    metrics.yoff = QFixed::fromReal(offset.y());
    return metrics;
}
 
void QFontEngineFT::recalcAdvances(QGlyphLayout *glyphs, QFontEngine::ShaperFlags flags) const
{
    FT_Face face = nullptr;
    bool design = shouldUseDesignMetrics(flags);
    for (int i = 0; i < glyphs->numGlyphs; i++) {
        Glyph *g = cacheEnabled ? defaultGlyphSet.getGlyph(glyphs->glyphs[i]) : nullptr;
        // Since we are passing Format_None to loadGlyph, use same default format logic as loadGlyph
        GlyphFormat acceptableFormat = (defaultFormat != Format_None) ? defaultFormat : Format_Mono;
        if (g && g->format == acceptableFormat) {
            glyphs->advances[i] = design ? QFixed::fromFixed(g->linearAdvance) : QFixed(g->advance);
        } else {
            if (!face)
                face = lockFace();
            g = loadGlyph(cacheEnabled ? &defaultGlyphSet : nullptr,
                          glyphs->glyphs[i],
                          QFixedPoint(),
                          QColor(),
                          Format_None,
                          true);
            if (g)
                glyphs->advances[i] = design ? QFixed::fromFixed(g->linearAdvance) : QFixed(g->advance);
            else
                glyphs->advances[i] = design ? QFixed::fromFixed(face->glyph->linearHoriAdvance >> 10)
                                             : QFixed::fromFixed(face->glyph->metrics.horiAdvance).round();
            if (!cacheEnabled && g != &emptyGlyph)
                delete g;
        }
 
        if (scalableBitmapScaleFactor != 1)
            glyphs->advances[i] *= scalableBitmapScaleFactor;
    }
    if (face)
        unlockFace();
}
 
glyph_metrics_t QFontEngineFT::boundingBox(const QGlyphLayout &glyphs)
{
    FT_Face face = nullptr;
 
    glyph_metrics_t overall;
    // initialize with line height, we get the same behaviour on all platforms
    if (!isScalableBitmap()) {
        overall.y = -ascent();
        overall.height = ascent() + descent();
    } else {
        overall.y = QFixed::fromFixed(-metrics.ascender);
        overall.height = QFixed::fromFixed(metrics.ascender - metrics.descender);
    }
 
    QFixed ymax = 0;
    QFixed xmax = 0;
    for (int i = 0; i < glyphs.numGlyphs; i++) {
        // If shaping has found this should be ignored, ignore it.
        if (!glyphs.advances[i] || glyphs.attributes[i].dontPrint)
            continue;
        Glyph *g = cacheEnabled ? defaultGlyphSet.getGlyph(glyphs.glyphs[i]) : nullptr;
        if (!g) {
            if (!face)
                face = lockFace();
            g = loadGlyph(cacheEnabled ? &defaultGlyphSet : nullptr,
                          glyphs.glyphs[i],
                          QFixedPoint(),
                          QColor(),
                          Format_None,
                          true);
        }
        if (g) {
            QFixed x = overall.xoff + glyphs.offsets[i].x + g->x;
            QFixed y = overall.yoff + glyphs.offsets[i].y - g->y;
            overall.x = qMin(overall.x, x);
            overall.y = qMin(overall.y, y);
            xmax = qMax(xmax, x.ceil() + g->width);
            ymax = qMax(ymax, y.ceil() + g->height);
            if (!cacheEnabled && g != &emptyGlyph)
                delete g;
        } else {
            int left  = FLOOR(face->glyph->metrics.horiBearingX);
            int right = CEIL(face->glyph->metrics.horiBearingX + face->glyph->metrics.width);
            int top    = CEIL(face->glyph->metrics.horiBearingY);
            int bottom = FLOOR(face->glyph->metrics.horiBearingY - face->glyph->metrics.height);
 
            QFixed x = overall.xoff + glyphs.offsets[i].x - (-TRUNC(left));
            QFixed y = overall.yoff + glyphs.offsets[i].y - TRUNC(top);
            overall.x = qMin(overall.x, x);
            overall.y = qMin(overall.y, y);
            xmax = qMax(xmax, x + TRUNC(right - left));
            ymax = qMax(ymax, y + TRUNC(top - bottom));
        }
        overall.xoff += glyphs.effectiveAdvance(i);
    }
    overall.height = qMax(overall.height, ymax - overall.y);
    overall.width = xmax - overall.x;
 
    if (face)
        unlockFace();
 
    if (isScalableBitmap())
        overall = scaledBitmapMetrics(overall, QTransform());
    return overall;
}
 
glyph_metrics_t QFontEngineFT::boundingBox(glyph_t glyph)
{
    FT_Face face = nullptr;
    glyph_metrics_t overall;
    Glyph *g = cacheEnabled ? defaultGlyphSet.getGlyph(glyph) : nullptr;
    if (!g) {
        face = lockFace();
        g = loadGlyph(cacheEnabled ? &defaultGlyphSet : nullptr,
                      glyph,
                      QFixedPoint(),
                      QColor(),
                      Format_None,
                      true);
    }
    if (g) {
        overall.x = g->x;
        overall.y = -g->y;
        overall.width = g->width;
        overall.height = g->height;
        overall.xoff = g->advance;
        if (!cacheEnabled && g != &emptyGlyph)
            delete g;
    } else {
        int left  = FLOOR(face->glyph->metrics.horiBearingX);
        int right = CEIL(face->glyph->metrics.horiBearingX + face->glyph->metrics.width);
        int top    = CEIL(face->glyph->metrics.horiBearingY);
        int bottom = FLOOR(face->glyph->metrics.horiBearingY - face->glyph->metrics.height);
 
        overall.width = TRUNC(right-left);
        overall.height = TRUNC(top-bottom);
        overall.x = TRUNC(left);
        overall.y = -TRUNC(top);
        overall.xoff = TRUNC(ROUND(face->glyph->advance.x));
    }
    if (face)
        unlockFace();
 
    if (isScalableBitmap())
        overall = scaledBitmapMetrics(overall, QTransform());
    return overall;
}
 
glyph_metrics_t QFontEngineFT::boundingBox(glyph_t glyph, const QTransform &matrix)
{
    return alphaMapBoundingBox(glyph, QFixedPoint(), matrix, QFontEngine::Format_None);
}
 
glyph_metrics_t QFontEngineFT::alphaMapBoundingBox(glyph_t glyph,
                                                   const QFixedPoint &subPixelPosition,
                                                   const QTransform &matrix,
                                                   QFontEngine::GlyphFormat format)
{
    // When rendering glyphs into a cache via the alphaMap* functions, we disable
    // outline drawing. To ensure the bounding box matches the rendered glyph, we
    // need to do the same here.
 
    const bool needsImageTransform = !FT_IS_SCALABLE(freetype->face)
            && matrix.type() > QTransform::TxTranslate;
    if (needsImageTransform && format == QFontEngine::Format_Mono)
        format = QFontEngine::Format_A8;
    Glyph *g = loadGlyphFor(glyph, subPixelPosition, format, matrix, QColor(), true, true);
 
    glyph_metrics_t overall;
    if (g) {
        overall.x = g->x;
        overall.y = -g->y;
        overall.width = g->width;
        overall.height = g->height;
        overall.xoff = g->advance;
        if (!cacheEnabled && g != &emptyGlyph)
            delete g;
    } else {
        FT_Face face = lockFace();
        int left  = FLOOR(face->glyph->metrics.horiBearingX);
        int right = CEIL(face->glyph->metrics.horiBearingX + face->glyph->metrics.width);
        int top    = CEIL(face->glyph->metrics.horiBearingY);
        int bottom = FLOOR(face->glyph->metrics.horiBearingY - face->glyph->metrics.height);
 
        overall.width = TRUNC(right-left);
        overall.height = TRUNC(top-bottom);
        overall.x = TRUNC(left);
        overall.y = -TRUNC(top);
        overall.xoff = TRUNC(ROUND(face->glyph->advance.x));
        unlockFace();
    }
 
    if (isScalableBitmap() || needsImageTransform)
        overall = scaledBitmapMetrics(overall, matrix);
    return overall;
}
 
static inline QImage alphaMapFromGlyphData(QFontEngineFT::Glyph *glyph, QFontEngine::GlyphFormat glyphFormat)
{
    if (glyph == nullptr || glyph->height == 0 || glyph->width == 0)
        return QImage();
 
    QImage::Format format = QImage::Format_Invalid;
    int bytesPerLine = -1;
    switch (glyphFormat) {
    case QFontEngine::Format_Mono:
        format = QImage::Format_Mono;
        bytesPerLine = ((glyph->width + 31) & ~31) >> 3;
        break;
    case QFontEngine::Format_A8:
        format = QImage::Format_Alpha8;
        bytesPerLine = (glyph->width + 3) & ~3;
        break;
    case QFontEngine::Format_A32:
        format = QImage::Format_RGB32;
        bytesPerLine = glyph->width * 4;
        break;
    default:
        Q_UNREACHABLE();
    };
 
    QImage img(static_cast<const uchar *>(glyph->data), glyph->width, glyph->height, bytesPerLine, format);
    if (format == QImage::Format_Mono)
        img.setColor(1, QColor(Qt::white).rgba());  // Expands color table to 2 items; item 0 set to transparent.
    return img;
}
 
QFontEngine::Glyph *QFontEngineFT::glyphData(glyph_t glyphIndex,
                                             const QFixedPoint &subPixelPosition,
                                             QFontEngine::GlyphFormat neededFormat,
                                             const QTransform &t)
{
    Q_ASSERT(cacheEnabled);
 
    if (isBitmapFont())
        neededFormat = Format_Mono;
    else if (neededFormat == Format_None && defaultFormat != Format_None)
        neededFormat = defaultFormat;
    else if (neededFormat == Format_None)
        neededFormat = Format_A8;
 
    Glyph *glyph = loadGlyphFor(glyphIndex, subPixelPosition, neededFormat, t, QColor());
    if (!glyph || !glyph->width || !glyph->height)
        return nullptr;
 
    return glyph;
}
 
static inline bool is2dRotation(const QTransform &t)
{
    return qFuzzyCompare(t.m11(), t.m22()) && qFuzzyCompare(t.m12(), -t.m21())
        && qFuzzyCompare(t.m11()*t.m22() - t.m12()*t.m21(), qreal(1.0));
}
 
QFontEngineFT::Glyph *QFontEngineFT::loadGlyphFor(glyph_t g,
                                                  const QFixedPoint &subPixelPosition,
                                                  GlyphFormat format,
                                                  const QTransform &t,
                                                  QColor color,
                                                  bool fetchBoundingBox,
                                                  bool disableOutlineDrawing)
{
    QGlyphSet *glyphSet = loadGlyphSet(t);
    if (glyphSet != nullptr && glyphSet->outline_drawing && !disableOutlineDrawing && !fetchBoundingBox)
        return nullptr;
 
    Glyph *glyph = glyphSet != nullptr ? glyphSet->getGlyph(g, subPixelPosition) : nullptr;
    if (!glyph || glyph->format != format || (!fetchBoundingBox && !glyph->data)) {
        QScopedValueRollback<HintStyle> saved_default_hint_style(default_hint_style);
        if (t.type() >= QTransform::TxScale && !is2dRotation(t))
            default_hint_style = HintNone; // disable hinting if the glyphs are transformed
 
        lockFace();
        FT_Matrix m = this->matrix;
        FT_Matrix ftMatrix = glyphSet != nullptr ? glyphSet->transformationMatrix : QTransformToFTMatrix(t);
        FT_Matrix_Multiply(&ftMatrix, &m);
        freetype->matrix = m;
        glyph = loadGlyph(glyphSet, g, subPixelPosition, color, format, false, disableOutlineDrawing);
        unlockFace();
    }
 
    return glyph;
}
 
QImage QFontEngineFT::alphaMapForGlyph(glyph_t g, const QFixedPoint &subPixelPosition)
{
    return alphaMapForGlyph(g, subPixelPosition, QTransform());
}
 
QImage QFontEngineFT::alphaMapForGlyph(glyph_t g,
                                       const QFixedPoint &subPixelPosition,
                                       const QTransform &t)
{
    const bool needsImageTransform = !FT_IS_SCALABLE(freetype->face)
            && t.type() > QTransform::TxTranslate;
    const GlyphFormat neededFormat = antialias || needsImageTransform ? Format_A8 : Format_Mono;
 
    Glyph *glyph = loadGlyphFor(g, subPixelPosition, neededFormat, t, QColor(), false, true);
 
    QImage img = alphaMapFromGlyphData(glyph, neededFormat);
    if (needsImageTransform)
        img = img.transformed(t, Qt::FastTransformation);
    else
        img = img.copy();
 
    if (!cacheEnabled && glyph != &emptyGlyph)
        delete glyph;
 
    return img;
}
 
QImage QFontEngineFT::alphaRGBMapForGlyph(glyph_t g,
                                          const QFixedPoint &subPixelPosition,
                                          const QTransform &t)
{
    if (t.type() > QTransform::TxRotate)
        return QFontEngine::alphaRGBMapForGlyph(g, subPixelPosition, t);
 
    const bool needsImageTransform = !FT_IS_SCALABLE(freetype->face)
                                     && t.type() > QTransform::TxTranslate;
 
 
    const GlyphFormat neededFormat = Format_A32;
 
    Glyph *glyph = loadGlyphFor(g, subPixelPosition, neededFormat, t, QColor(), false, true);
 
    QImage img = alphaMapFromGlyphData(glyph, neededFormat);
    if (needsImageTransform)
        img = img.transformed(t, Qt::FastTransformation);
    else
        img = img.copy();
 
    if (!cacheEnabled && glyph != &emptyGlyph)
        delete glyph;
 
    if (!img.isNull())
        return img;
 
    return QFontEngine::alphaRGBMapForGlyph(g, subPixelPosition, t);
}
 
QImage QFontEngineFT::bitmapForGlyph(glyph_t g,
                                     const QFixedPoint &subPixelPosition,
                                     const QTransform &t,
                                     const QColor &color)
{
    Glyph *glyph = loadGlyphFor(g, subPixelPosition, defaultFormat, t, color);
    if (glyph == nullptr)
        return QImage();
 
    QImage img;
    if (defaultFormat == GlyphFormat::Format_ARGB)
        img = QImage(glyph->data, glyph->width, glyph->height, QImage::Format_ARGB32_Premultiplied).copy();
    else if (defaultFormat == GlyphFormat::Format_Mono)
        img = QImage(glyph->data, glyph->width, glyph->height, QImage::Format_Mono).copy();
 
    if (!img.isNull() && (scalableBitmapScaleFactor != 1 || (!t.isIdentity() && !isSmoothlyScalable))) {
        QTransform trans(t);
        const qreal scaleFactor = scalableBitmapScaleFactor.toReal();
        trans.scale(scaleFactor, scaleFactor);
        img = img.transformed(trans, Qt::SmoothTransformation);
    }
 
    if (!cacheEnabled && glyph != &emptyGlyph)
        delete glyph;
 
    return img;
}
 
void QFontEngineFT::removeGlyphFromCache(glyph_t glyph)
{
    defaultGlyphSet.removeGlyphFromCache(glyph, QFixedPoint());
}
 
int QFontEngineFT::glyphCount() const
{
    int count = 0;
    FT_Face face = lockFace();
    if (face) {
        count = face->num_glyphs;
        unlockFace();
    }
    return count;
}
 
FT_Face QFontEngineFT::lockFace(Scaling scale) const
{
    freetype->lock();
    FT_Face face = freetype->face;
    if (scale == Unscaled) {
        if (FT_Set_Char_Size(face, face->units_per_EM << 6, face->units_per_EM << 6, 0, 0) == 0) {
            freetype->xsize = face->units_per_EM << 6;
            freetype->ysize = face->units_per_EM << 6;
        }
    } else if (freetype->xsize != xsize || freetype->ysize != ysize) {
        FT_Set_Char_Size(face, xsize, ysize, 0, 0);
        freetype->xsize = xsize;
        freetype->ysize = ysize;
    }
    if (freetype->matrix.xx != matrix.xx ||
        freetype->matrix.yy != matrix.yy ||
        freetype->matrix.xy != matrix.xy ||
        freetype->matrix.yx != matrix.yx) {
        freetype->matrix = matrix;
        FT_Set_Transform(face, &freetype->matrix, nullptr);
    }
 
    return face;
}
 
void QFontEngineFT::unlockFace() const
{
    freetype->unlock();
}
 
FT_Face QFontEngineFT::non_locked_face() const
{
    return freetype->face;
}
 
 
QFontEngineFT::QGlyphSet::QGlyphSet()
    : outline_drawing(false)
{
    transformationMatrix.xx = 0x10000;
    transformationMatrix.yy = 0x10000;
    transformationMatrix.xy = 0;
    transformationMatrix.yx = 0;
    memset(fast_glyph_data, 0, sizeof(fast_glyph_data));
    fast_glyph_count = 0;
}
 
QFontEngineFT::QGlyphSet::~QGlyphSet()
{
    clear();
}
 
void QFontEngineFT::QGlyphSet::clear()
{
    if (fast_glyph_count > 0) {
        for (int i = 0; i < 256; ++i) {
            if (fast_glyph_data[i]) {
                delete fast_glyph_data[i];
                fast_glyph_data[i] = nullptr;
            }
        }
        fast_glyph_count = 0;
    }
    qDeleteAll(glyph_data);
    glyph_data.clear();
}
 
void QFontEngineFT::QGlyphSet::removeGlyphFromCache(glyph_t index,
                                                    const QFixedPoint &subPixelPosition)
{
    if (useFastGlyphData(index, subPixelPosition)) {
        if (fast_glyph_data[index]) {
            delete fast_glyph_data[index];
            fast_glyph_data[index] = nullptr;
            if (fast_glyph_count > 0)
                --fast_glyph_count;
        }
    } else {
        delete glyph_data.take(GlyphAndSubPixelPosition(index, subPixelPosition));
    }
}
 
void QFontEngineFT::QGlyphSet::setGlyph(glyph_t index,
                                        const QFixedPoint &subPixelPosition,
                                        Glyph *glyph)
{
    if (useFastGlyphData(index, subPixelPosition)) {
        if (!fast_glyph_data[index])
            ++fast_glyph_count;
        fast_glyph_data[index] = glyph;
    } else {
        glyph_data.insert(GlyphAndSubPixelPosition(index, subPixelPosition), glyph);
    }
}
 
int QFontEngineFT::getPointInOutline(glyph_t glyph, int flags, quint32 point, QFixed *xpos, QFixed *ypos, quint32 *nPoints)
{
    lockFace();
    bool hsubpixel = true;
    int vfactor = 1;
    int load_flags = loadFlags(nullptr, Format_A8, flags, hsubpixel, vfactor);
    int result = freetype->getPointInOutline(glyph, load_flags, point, xpos, ypos, nPoints);
    unlockFace();
    return result;
}
 
bool QFontEngineFT::initFromFontEngine(const QFontEngineFT *fe)
{
    if (!init(fe->faceId(), fe->antialias, fe->defaultFormat, fe->freetype))
        return false;
 
    // Increase the reference of this QFreetypeFace since one more QFontEngineFT
    // will be using it
    freetype->ref.ref();
 
    default_load_flags = fe->default_load_flags;
    default_hint_style = fe->default_hint_style;
    antialias = fe->antialias;
    transform = fe->transform;
    embolden = fe->embolden;
    obliquen = fe->obliquen;
    subpixelType = fe->subpixelType;
    lcdFilterType = fe->lcdFilterType;
    embeddedbitmap = fe->embeddedbitmap;
 
    return true;
}
 
QFontEngine *QFontEngineFT::cloneWithSize(qreal pixelSize) const
{
    QFontDef fontDef(this->fontDef);
    fontDef.pixelSize = pixelSize;
    QFontEngineFT *fe = new QFontEngineFT(fontDef);
    if (!fe->initFromFontEngine(this)) {
        delete fe;
        return nullptr;
    } else {
        return fe;
    }
}
 
Qt::HANDLE QFontEngineFT::handle() const
{
    return non_locked_face();
}
 
QList<QFontVariableAxis> QFontEngineFT::variableAxes() const
{
    return freetype->variableAxes();
}
 
QT_END_NAMESPACE
 
#endif // QT_NO_FREETYPE