JKQtPlotter/lib/jkqtmathtext/jkqtmathtexttools.cpp

/*
    Copyright (c) 2008-2024 Jan W. Krieger (<jan@jkrieger.de>)

    

    This software is free software: you can redistribute it and/or modify
    it under the terms of the GNU Lesser General Public License (LGPL) as published by
    the Free Software Foundation, either version 2.1 of the License, or
    (at your option) any later version.

    This program is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    GNU Lesser General Public License (LGPL) for more details.

    You should have received a copy of the GNU Lesser General Public License (LGPL)
    along with this program.  If not, see <http://www.gnu.org/licenses/>.
*/



#include "jkqtmathtext/jkqtmathtexttools.h"
#include "jkqtmathtext/jkqtmathtext.h"
#include "jkqtcommon/jkqtpstringtools.h"
#include "jkqtcommon/jkqtpcachingtools.h"
#include <cmath>
#include <QFontMetricsF>
#include <QDebug>
#include <QFontDatabase>
#include <QFontInfo>
#include <QApplication>
#include <QFont>
#include <QReadWriteLock>
#include <QHashFunctions>
#include <mutex>
#include <functional>


void initJKQTMathTextResources()
{
    static std::once_flag flag;
    std::call_once(flag, []() {
            #ifdef JKQTMATHTEXT_COMPILED_WITH_XITS
                    Q_INIT_RESOURCE(xits);
            #endif
            #ifdef JKQTMATHTEXT_COMPILED_WITH_FIRAMATH
                    Q_INIT_RESOURCE(firamath);
            #endif
        }
    );
}

JKQTMathTextFontSpecifier::JKQTMathTextFontSpecifier():
    m_fontName(""),
    m_mathFontName(""),
    m_transformOnOutput(true)
{
    initJKQTMathTextResources();
}

JKQTMathTextFontSpecifier::JKQTMathTextFontSpecifier(const QString &_fontName, const QString &_mathFontName):
    m_fontName(_fontName),
    m_mathFontName(_mathFontName),
    m_transformOnOutput(true)
{
    initJKQTMathTextResources();
}

JKQTMathTextFontSpecifier JKQTMathTextFontSpecifier::fromFontSpec(const QString &fontSpec)
{
    JKQTMathTextFontSpecifier s;
    s.setFontSpec(fontSpec);
    return s;
}

void JKQTMathTextFontSpecifier::setFontSpec(const QString &fontSpec)
{
    QStringList splitspec=fontSpec.split('+');
    if (splitspec.size()==0) {
        m_fontName=m_mathFontName="";
    } else if (splitspec.size()==1) {
        m_fontName=splitspec[0];
        m_mathFontName="";
    } else if (splitspec.size()==2) {
        m_fontName=splitspec[0];
        m_mathFontName=splitspec[1];
    } else if (splitspec.size()>2) {
        m_fontName=splitspec.mid(0, splitspec.size()-1).join('+');
        m_mathFontName=splitspec.last();
    }
}

QString JKQTMathTextFontSpecifier::getFontSpec() const
{
    QString res=m_fontName;
    if (m_mathFontName.size()>0) res+="+"+m_mathFontName;
    return res;
}

QString JKQTMathTextFontSpecifier::fontName() const
{
    if (m_transformOnOutput) return transformFontNameAndDecodeSpecialFonts(m_fontName, false);
    else return m_fontName;
}

QString JKQTMathTextFontSpecifier::mathFontName() const
{
    if (m_transformOnOutput) return transformFontNameAndDecodeSpecialFonts(m_mathFontName, true);
    else return m_mathFontName;
}

QString JKQTMathTextFontSpecifier::fallbackSymbolsFontName() const
{
    if (m_transformOnOutput) return transformFontNameAndDecodeSpecialFonts(m_fallbackSymbolFont, true);
    else return m_fallbackSymbolFont;
}

void JKQTMathTextFontSpecifier::setFallbackSymbolsFontName(const QString &name)
{
    m_fallbackSymbolFont=name;
}

QString JKQTMathTextFontSpecifier::transformFontName(const QString &fontName, bool /*mathmode*/)
{
    const QString fnt=fontName.trimmed().toLower();
    QFont testFnt;
    if (fnt=="serif" || fnt=="times") {
        testFnt.setStyleHint(QFont::StyleHint::Serif);
        return testFnt.defaultFamily();
    }
    if (fnt=="sans-serif" || fnt=="sansserif" || fnt=="sans" || fnt=="sans serif") {
        testFnt.setStyleHint(QFont::StyleHint::SansSerif);
        return testFnt.defaultFamily();
    }
    if (fnt=="cursive") {
        testFnt.setStyleHint(QFont::StyleHint::Cursive);
        return testFnt.defaultFamily();
    }
    if (fnt=="typewriter") {
        testFnt.setStyleHint(QFont::StyleHint::TypeWriter);
        return testFnt.defaultFamily();
    }
    if (fnt=="monospace") {
        testFnt.setStyleHint(QFont::StyleHint::Monospace);
        return testFnt.defaultFamily();
    }
    if (fnt=="fantasy") {
        testFnt.setStyleHint(QFont::StyleHint::Fantasy);
        return testFnt.defaultFamily();
    }
    if (fnt=="system") {
        testFnt.setStyleHint(QFont::StyleHint::System);
        return testFnt.defaultFamily();
    }
    if (fnt=="decorative") {
        testFnt.setStyleHint(QFont::StyleHint::Decorative);
        return testFnt.defaultFamily();
    }
    if (fnt=="default" || fnt=="app" || fnt=="application") {
        return QGuiApplication::font().family();
    }
    if (fnt=="appsf" || fnt=="application sf" || fnt=="application-sf") {
        const QFont f=QGuiApplication::font().family();
        if (f.styleHint()==QFont::SansSerif) {
            testFnt.setStyleHint(QFont::StyleHint::Serif);
            return testFnt.defaultFamily();
        } else {
            testFnt.setStyleHint(QFont::StyleHint::SansSerif);
            return testFnt.defaultFamily();
        }
    }
#if QT_VERSION >= QT_VERSION_CHECK(6,0,0)
    if (fnt=="fixed") {
        return QFontDatabase::systemFont(QFontDatabase::SystemFont::FixedFont).family();
    }
    if (fnt=="smallest_readable" || fnt=="smallestreadable" || fnt=="smallest readable" || fnt=="smallest") {
        return QFontDatabase::systemFont(QFontDatabase::SystemFont::SmallestReadableFont).family();
    }
    if (fnt=="title") {
        return QFontDatabase::systemFont(QFontDatabase::SystemFont::TitleFont).family();
    }
    if (fnt=="general") {
        return QFontDatabase::systemFont(QFontDatabase::SystemFont::GeneralFont).family();
    }
#elif QT_VERSION >= QT_VERSION_CHECK(5,2,0)
    QFontDatabase fontDB;
    if (fnt=="fixed") {
        return fontDB.systemFont(QFontDatabase::SystemFont::FixedFont).family();
    }
    if (fnt=="smallest_readable" || fnt=="smallestreadable" || fnt=="smallest readable" || fnt=="smallest") {
        return fontDB.systemFont(QFontDatabase::SystemFont::SmallestReadableFont).family();
    }
    if (fnt=="title") {
        return fontDB.systemFont(QFontDatabase::SystemFont::TitleFont).family();
    }
    if (fnt=="general") {
        return fontDB.systemFont(QFontDatabase::SystemFont::GeneralFont).family();
    }
#endif
    return fontName;
}

QString JKQTMathTextFontSpecifier::transformFontNameAndDecodeSpecialFonts(const QString &fontName, bool mathmode)
{
    const QString fnt=fontName.toLower().trimmed();
    if (fnt=="xits"||fnt=="xits_math") {
        if (mathmode||fnt=="xits_math") return getXITSFamilies().mathFontName();
        else return getXITSFamilies().fontName();
    } else if (fnt=="asana"||fnt=="asana_math") {
        if (mathmode||fnt=="asana_math") return getASANAFamilies().mathFontName();
        else return getASANAFamilies().fontName();
    } else if (fnt=="stix"||fnt=="stix_math") {
        if (mathmode||fnt=="stix_math") return getSTIXFamilies().mathFontName();
        else return getSTIXFamilies().fontName();
    } else if (fnt=="fira"||fnt=="fira_math") {
        if (mathmode||fnt=="firs_math") return getFIRAFamilies().mathFontName();
        else return getFIRAFamilies().fontName();
    }
    return transformFontName(fontName, mathmode);
}

bool JKQTMathTextFontSpecifier::hasFontName() const
{
    return !m_fontName.isEmpty();
}

bool JKQTMathTextFontSpecifier::hasMathFontName() const
{
    return !m_mathFontName.isEmpty();
}

bool JKQTMathTextFontSpecifier::hasFallbackSymbolFontName() const
{
    return !m_fallbackSymbolFont.isEmpty();
}

JKQTMathTextFontSpecifier JKQTMathTextFontSpecifier::getXITSFamilies()
{
    initJKQTMathTextResources();


#if (QT_VERSION<QT_VERSION_CHECK(6, 0, 0))
    QFontDatabase fdb;
    const auto fontFamilies=fdb.families();
#else
    const auto fontFamilies=QFontDatabase::families();
#endif
    if (!fontFamilies.contains("XITS")) {
        if (QFile::exists(":/JKQTMathText/fonts/xits-bold.otf")) { QFontDatabase::addApplicationFont(":/JKQTMathText/fonts/xits-bold.otf"); }
        if (QFile::exists(":/JKQTMathText/fonts/xits-bolditalic.otf")) { QFontDatabase::addApplicationFont(":/JKQTMathText/fonts/xits-bolditalic.otf"); }
        if (QFile::exists(":/JKQTMathText/fonts/xits-italic.otf")) { QFontDatabase::addApplicationFont(":/JKQTMathText/fonts/xits-italic.otf"); }
        if (QFile::exists(":/JKQTMathText/fonts/xits-math.otf")) { QFontDatabase::addApplicationFont(":/JKQTMathText/fonts/xits-math.otf"); }
        if (QFile::exists(":/JKQTMathText/fonts/xits-mathbold.otf")) { QFontDatabase::addApplicationFont(":/JKQTMathText/fonts/xits-mathbold.otf"); }
        if (QFile::exists(":/JKQTMathText/fonts/xits-regular.otf")) { QFontDatabase::addApplicationFont(":/JKQTMathText/fonts/xits-regular.otf"); }
    }

     static JKQTMathTextFontSpecifier fontSpec;
    if (fontSpec.m_fontName.isEmpty() && fontSpec.m_mathFontName.isEmpty()) {
        fontSpec.m_transformOnOutput=false;
        for (int i=0; i<fontFamilies.size(); i++) {
            if (fontFamilies.at(i).contains("XITS Math")) {
                fontSpec.m_mathFontName=fontFamilies.at(i);
            } else if (fontFamilies.at(i).contains("XITS")) {
                fontSpec.m_fontName=fontFamilies.at(i);
            }
            if (fontSpec.m_mathFontName.size()>0 && fontSpec.m_fontName.size()>0) {
                break;
            }
        }
        if (fontSpec.m_mathFontName.isEmpty() && !fontSpec.m_fontName.isEmpty()) {
            fontSpec.m_mathFontName=fontSpec.m_fontName;
        } else if (!fontSpec.m_mathFontName.isEmpty() && fontSpec.m_fontName.isEmpty()) {
            fontSpec.m_fontName=fontSpec.m_mathFontName;
        }
        fontSpec.m_fallbackSymbolFont=fontSpec.m_mathFontName;
    }

    return fontSpec;
}

JKQTMathTextFontSpecifier JKQTMathTextFontSpecifier::getASANAFamilies()
{
    static JKQTMathTextFontSpecifier fontSpec=[]() -> JKQTMathTextFontSpecifier {
        initJKQTMathTextResources();
    #if (QT_VERSION<QT_VERSION_CHECK(6, 0, 0))
        QFontDatabase fdb;
        const auto fontFamilies=fdb.families();
    #else
        const auto fontFamilies=QFontDatabase::families();
    #endif
        if (!fontFamilies.contains("Asana") && !fontFamilies.contains("Asana Math")) {
            if (QFile::exists(":/JKQTMathText/fonts/asana-math.otf")) { /*i=*/QFontDatabase::addApplicationFont(":/JKQTMathText/fonts/asana-math.otf"); }
        }


        JKQTMathTextFontSpecifier fontSpec;
        fontSpec.m_transformOnOutput=false;
        for (int i=0; i<fontFamilies.size(); i++) {
            if (fontFamilies.at(i).contains("Asana Math")) {
                fontSpec.m_mathFontName=fontFamilies.at(i);
            } else if (fontFamilies.at(i).contains("Asana")) {
                fontSpec.m_fontName=fontFamilies.at(i);
            }
            if (fontSpec.m_mathFontName.size()>0 && fontSpec.m_fontName.size()>0) {
                break;
            }
        }
        if (fontSpec.m_mathFontName.isEmpty() && !fontSpec.m_fontName.isEmpty()) {
            fontSpec.m_mathFontName=fontSpec.m_fontName;
        } else if (!fontSpec.m_mathFontName.isEmpty() && fontSpec.m_fontName.isEmpty()) {
            fontSpec.m_fontName=fontSpec.m_mathFontName;
        }
        fontSpec.m_fallbackSymbolFont=fontSpec.m_mathFontName;
        return fontSpec;
    }();
    return fontSpec;
}

JKQTMathTextFontSpecifier JKQTMathTextFontSpecifier::getSTIXFamilies()
{
    static JKQTMathTextFontSpecifier fontSpec=[]() -> JKQTMathTextFontSpecifier {
        initJKQTMathTextResources();
        static QStringList mathNames{"STIX Two Math", "STIX Math", "STIX Two Math Standard", "STIX Math Standard"};
        static QStringList textNames{"STIX", "STIXGeneral", "STIX General"};

        JKQTMathTextFontSpecifier fontSpec;
        fontSpec.m_transformOnOutput=false;
#if (QT_VERSION<QT_VERSION_CHECK(6, 0, 0))
        QFontDatabase fdb;
        const auto fontFamilies=fdb.families();
#else
        const auto fontFamilies=QFontDatabase::families();
#endif
        for (const QString& name:mathNames) {
            for (int i=0; i<fontFamilies.size(); i++) {
                if (fontFamilies.at(i).contains(name) ) {
                    fontSpec.m_mathFontName=fontFamilies.at(i);
                }
                if (fontSpec.m_mathFontName.size()>0) {
                    break;
                }
            }
            if (fontSpec.m_mathFontName.size()>0) {
                break;
            }
        }
        for (const QString& name:textNames) {
            for (int i=0; i<fontFamilies.size(); i++) {
                if (fontFamilies.at(i).contains(name) ) {
                    fontSpec.m_fontName=fontFamilies.at(i);
                }
                if (fontSpec.m_fontName.size()>0) {
                    break;
                }
            }
            if (fontSpec.m_fontName.size()>0) {
                break;
            }
        }
        if (fontSpec.m_mathFontName.isEmpty() && !fontSpec.m_fontName.isEmpty()) {
            fontSpec.m_mathFontName=fontSpec.m_fontName;
        } else if (!fontSpec.m_mathFontName.isEmpty() && fontSpec.m_fontName.isEmpty()) {
            fontSpec.m_fontName=fontSpec.m_mathFontName;
        }
        fontSpec.m_fallbackSymbolFont=fontSpec.m_mathFontName;
        return fontSpec;
    }();
    return fontSpec;
}

JKQTMathTextFontSpecifier JKQTMathTextFontSpecifier::getFIRAFamilies()
{
    static JKQTMathTextFontSpecifier fontSpec=[]() -> JKQTMathTextFontSpecifier {
        initJKQTMathTextResources();
    #if (QT_VERSION<QT_VERSION_CHECK(6, 0, 0))
        QFontDatabase fdb;
        const auto fontFamilies=fdb.families();
    #else
        const auto fontFamilies=QFontDatabase::families();
    #endif
        if (!fontFamilies.contains("Fira Math")) {
            if (QFile::exists(":/JKQTMathText/fonts/FiraMath-Regular.otf")) { QFontDatabase::addApplicationFont(":/JKQTMathText/fonts/FiraMath-Regular.otf"); }
        }

        JKQTMathTextFontSpecifier fontSpec;
        fontSpec.m_transformOnOutput=false;
        for (int i=0; i<fontFamilies.size(); i++) {
            if (fontFamilies.at(i).contains("Fira Math")) {
                fontSpec.m_mathFontName=fontFamilies.at(i);
                fontSpec.m_fontName=fontFamilies.at(i);
            }
            if (fontFamilies.at(i).contains("Fira Sans")) {
                fontSpec.m_fontName=fontFamilies.at(i);
            }
            if (fontSpec.m_mathFontName.size()>0 && fontSpec.m_fontName.size()>0) {
                break;
            }
        }
        if (fontSpec.m_mathFontName.isEmpty() && !fontSpec.m_fontName.isEmpty()) {
            fontSpec.m_mathFontName=fontSpec.m_fontName;
        } else if (!fontSpec.m_mathFontName.isEmpty() && fontSpec.m_fontName.isEmpty()) {
            fontSpec.m_fontName=fontSpec.m_mathFontName;
        }
        fontSpec.m_fallbackSymbolFont=fontSpec.m_mathFontName;
        return fontSpec;
    }();

    return fontSpec;
}

JKQTMathTextFontSpecifier JKQTMathTextFontSpecifier::getAppFontFamilies()
{
    static JKQTMathTextFontSpecifier fontSpec=[]() -> JKQTMathTextFontSpecifier {
        JKQTMathTextFontSpecifier fontSpec;
#if (QT_VERSION<QT_VERSION_CHECK(6, 0, 0))
        QFontDatabase fdb;
        const auto fontFamilies=fdb.families();
#else
        const auto fontFamilies=QFontDatabase::families();
#endif
        const QFont f=QGuiApplication::font().family();
        fontSpec.m_fontName=f.family();
        fontSpec.m_mathFontName=f.family();
        bool set=false;
        if (f.family().toLower().startsWith("segoe ui")) {
            if (fontFamilies.contains("Segoe UI Symbol")) {
                fontSpec.m_fallbackSymbolFont=fontSpec.m_mathFontName="Segoe UI Symbol";
                set=true;
            }
        } else if (f.family().toLower().startsWith("cambria")) {
            if (fontFamilies.contains("Cambria Math")) {
                fontSpec.m_fallbackSymbolFont=fontSpec.m_mathFontName="Cambria Math";
                set=true;
            }
        }
        if (!set) {
            if (f.styleHint()==QFont::Serif) {
                const JKQTMathTextFontSpecifier xits=getXITSFamilies();
                if (xits.hasFallbackSymbolFontName()) fontSpec.m_fallbackSymbolFont=xits.fallbackSymbolsFontName();
                if (xits.hasMathFontName()) fontSpec.m_mathFontName=xits.mathFontName();
            } else {
                const JKQTMathTextFontSpecifier fira=getFIRAFamilies();
                if (fira.hasFallbackSymbolFontName()) fontSpec.m_fallbackSymbolFont=fira.fallbackSymbolsFontName();
                if (fira.hasMathFontName()) fontSpec.m_mathFontName=fira.mathFontName();
            }
        }
        return fontSpec;
    }();
    return fontSpec;
}

JKQTMathTextFontSpecifier JKQTMathTextFontSpecifier::getAppFontSFFamilies()
{
    static JKQTMathTextFontSpecifier fontSpec=[]() -> JKQTMathTextFontSpecifier {
        JKQTMathTextFontSpecifier fontSpec;
        const QFont f=QGuiApplication::font().family();
        QFont testFnt;
        if (f.styleHint()==QFont::Serif) {
            testFnt.setStyleHint(QFont::StyleHint::SansSerif);
            fontSpec.m_fontName=fontSpec.m_mathFontName=testFnt.defaultFamily();;
        } else {
            testFnt.setStyleHint(QFont::StyleHint::Serif);
            fontSpec.m_fontName=fontSpec.m_mathFontName=testFnt.defaultFamily();;
        }
        return fontSpec;
    }();
    return fontSpec;
}

QString JKQTMathTextFontEncoding2String(JKQTMathTextFontEncoding e)
{
    switch(e) {
        case MTFEUnicode: return "MTFEUnicode";
        case MTFEStandard: return "MTFELatin1";
        case MTFEWinSymbol: return "MTFEWinSymbol";
    }
    return "???";
}



QString JKQTMathTextBraceType2String(JKQTMathTextBraceType type) {
    switch(type) {
    case MTBTAngleBracket:
        return "angle_bracket";
    case MTBTSquareBracket:
        return "square_bracket";
    case MTBTCeilBracket:
        return "ceil_bracket";
    case MTBTCurlyBracket:
        return "curly_bracket";
    case MTBTDoubleLine:
        return "double_line";
    case MTBTFloorBracket:
        return "floor_bracket";
    case MTBTParenthesis:
        return "parenhesis";
    case MTBTSingleLine:
        return "single_line";
    case MTBTTopCorner:
        return "top_corner";
    case MTBTBottomCorner:
        return "bottom_corner";
    case MTBTAny:
        return "any";
    case MTBTNone:
        return "none";
    case MTBTUnknown:
        return "unknow";
    }
    return "???";
}

JKQTMathTextBraceType TokenName2JKQTMathTextBraceType(const QString &tokenName, bool* isOpening)
{
    if (tokenName=="(") { if (isOpening) *isOpening=true; return MTBTParenthesis; }
    if (tokenName==")") { if (isOpening) *isOpening=false; return MTBTParenthesis; }
    if (tokenName=="[") { if (isOpening) *isOpening=true; return MTBTSquareBracket; }
    if (tokenName=="]") { if (isOpening) *isOpening=false; return MTBTSquareBracket; }
    if (tokenName=="{") { if (isOpening) *isOpening=true; return MTBTCurlyBracket; }
    if (tokenName=="}") { if (isOpening) *isOpening=false; return MTBTCurlyBracket; }
    if (tokenName=="|") { if (isOpening) *isOpening=true; return MTBTSingleLine; }
    if (tokenName=="||" || tokenName=="#") { if (isOpening) *isOpening=true; return MTBTDoubleLine; }

    if (tokenName=="<" || tokenName=="langle") { if (isOpening) *isOpening=true; return MTBTAngleBracket; }
    if (tokenName==">" || tokenName=="rangle") { if (isOpening) *isOpening=false; return MTBTAngleBracket; }
    if (tokenName=="_" || tokenName=="lfloor") { if (isOpening) *isOpening=true; return MTBTFloorBracket; }
    if (tokenName=="_" || tokenName=="rfloor") { if (isOpening) *isOpening=false; return MTBTFloorBracket; }
    if (tokenName=="~" || tokenName=="lceil") { if (isOpening) *isOpening=true; return MTBTCeilBracket; }
    if (tokenName=="~" || tokenName=="rceil") { if (isOpening) *isOpening=false; return MTBTCeilBracket; }
    if (tokenName=="ulcorner" || tokenName=="tlcorner") { if (isOpening) *isOpening=true; return MTBTTopCorner; }
    if (tokenName=="urcorner" || tokenName=="trcorner") { if (isOpening) *isOpening=false; return MTBTTopCorner; }
    if (tokenName=="blcorner" || tokenName=="llcorner") { if (isOpening) *isOpening=true; return MTBTBottomCorner; }
    if (tokenName=="brcorner" || tokenName=="lrcorner") { if (isOpening) *isOpening=false; return MTBTBottomCorner; }
    if (isOpening) *isOpening=true;

    if (tokenName=="any") return MTBTAny;
    if (tokenName=="." || tokenName=="" || tokenName=="none") return MTBTNone;
    return MTBTUnknown;
}

JKQTMathTextBraceType InstructionName2OpeningJKQTMathTextBraceType(const QString &tokenName)
{
    if (tokenName=="{") return MTBTCurlyBracket;
    if (tokenName=="|") return MTBTDoubleLine;
    if (tokenName=="langle") return MTBTAngleBracket;
    if (tokenName=="lfloor") return MTBTFloorBracket;
    if (tokenName=="lceil") return MTBTCeilBracket;
    if (tokenName=="tlcorner"||tokenName=="ulcorner") return MTBTTopCorner;
    if (tokenName=="blcorner"||tokenName=="llcorner") return MTBTBottomCorner;
    return MTBTUnknown;
}

JKQTMathTextBraceType InstructionName2JKQTMathTextBraceType(const QString &tokenName)
{
    if (tokenName=="{" || tokenName=="}") return MTBTCurlyBracket;
    if (tokenName=="|") return MTBTDoubleLine;
    if (tokenName=="langle" || tokenName=="rangle") return MTBTAngleBracket;
    if (tokenName=="lfloor" || tokenName=="rfloor") return MTBTFloorBracket;
    if (tokenName=="lceil" || tokenName=="rceil") return MTBTCeilBracket;
    if (tokenName=="ulcorner" || tokenName=="urcorner"||tokenName=="tlcorner" || tokenName=="trcorner") return MTBTTopCorner;
    if (tokenName=="blcorner" || tokenName=="brcorner"||tokenName=="llcorner" || tokenName=="lrcorner") return MTBTBottomCorner;
    return MTBTUnknown;
}

bool TokenNameMatchesJKQTMathTextBraceType(const QString &token, JKQTMathTextBraceType type, bool acceptMTBTNone, bool* tokenEqualsNone)
{
    const JKQTMathTextBraceType bt=TokenName2JKQTMathTextBraceType(token);
    if (tokenEqualsNone) *tokenEqualsNone=(bt==MTBTNone);
    if (type==MTBTAny) return true;
    if (acceptMTBTNone && bt==MTBTNone) return true;
    return (bt==type);
}

bool InstructionNameMatchesJKQTMathTextBraceType(const QString &token, JKQTMathTextBraceType type, bool acceptMTBTNone, bool* tokenEqualsNone)
{
    const JKQTMathTextBraceType bt=InstructionName2JKQTMathTextBraceType(token);
    if (tokenEqualsNone) *tokenEqualsNone=(bt==MTBTNone);
    if (type==MTBTAny) return true;
    if (acceptMTBTNone && bt==MTBTNone) return true;
    return (bt==type);
}

QString JKQTMathTextEnvironment::FontSizeUnit2String(FontSizeUnit unit)
{
    switch(unit) {
    case PIXELS: return "pix";
    default:
    case POINTS: return "pt";
    }
}

JKQTMathTextEnvironment::FontSizeUnit JKQTMathTextEnvironment::String2FontSizeUnit(QString unit)
{
    unit=unit.toLower().trimmed();
    if (unit=="pt" || unit=="points" || unit=="point") return POINTS;
    if (unit=="pix" || unit=="pixel" || unit=="pixels" || unit=="px") return PIXELS;
    return POINTS;
}

JKQTMathTextEnvironment::JKQTMathTextEnvironment() {
    color=QColor("black");
    font=MTEroman;
    fontSize=10;
    fontSizeUnit=POINTS;
    bold=false;
    italic=false;
    capitalization=QFont::MixedCase;
    underlined=false;
    overline=false;
    strike=false;
    insideMath=false;
    insideMathForceDigitsUpright=true;
    insideMathUseTextStyle=false;
}

void JKQTMathTextEnvironment::beginMathMode(bool displaystyle)
{
    insideMath=true;
    insideMathForceDigitsUpright=true;
    insideMathUseTextStyle=!displaystyle;
    italic=true;
    capitalization=QFont::MixedCase;
    underlined=false;
    overline=false;
    strike=false;
}

void JKQTMathTextEnvironment::endMathMode()
{
    insideMath=false;
    insideMathForceDigitsUpright=true;
    italic=false;
    capitalization=QFont::MixedCase;
    underlined=false;
    overline=false;
    strike=false;
}

bool JKQTMathTextEnvironment::isMathDisplayStyle() const
{
    if (insideMath) return !insideMathUseTextStyle;
    else {
        return false;
    }
}

bool JKQTMathTextEnvironment::isMathTextStyle() const
{
    return !isMathDisplayStyle();
}

JKQTMathTextFontEncoding JKQTMathTextEnvironment::getFontEncoding(JKQTMathText* parent) const {
    switch (font) {
        case MTEsans: if (insideMath) {
                return parent->getFontEncodingMathSans();
            } else {
                return parent->getFontEncodingSans();
            }
            break;
        case MTEmathSans: return parent->getFontEncodingMathSans(); break;
        case MTEtypewriter: return parent->getFontEncodingTypewriter(); break;
        case MTEscript: return parent->getFontEncodingScript(); break;
        case MTEcaligraphic: return parent->getFontEncodingCaligraphic(); break;
        case MTEblackboard: return parent->getFontEncodingBlackboard(); break;
        case MTEfraktur: return parent->getFontEncodingFraktur(); break;
        case MTEmathRoman: return parent->getFontEncodingMathRoman(); break;
        case MTEroman: if (insideMath) {
                return parent->getFontEncodingMathRoman();
            } else {
                return parent->getFontEncodingRoman();
            }
            break;
        default:
            return MTFEStandard;
    }
    return MTFEStandard;
}

QFont JKQTMathTextEnvironment::getFont(const JKQTMathText* parent) const {
    QFont f;
    switch (font) {
        case MTEsans: if (insideMath) {
                f.setFamily(parent->getFontMathSans());
            } else {
                f.setFamily(parent->getFontSans());
            }
            break;
        case MTEmathSans: f.setFamily(parent->getFontMathSans()); break;
        case MTEtypewriter: f.setFamily(parent->getFontTypewriter()); break;
        case MTEscript: f.setFamily(parent->getFontScript()); break;
        case MTEcaligraphic: f.setFamily(parent->getFontCaligraphic()); break;
        case MTEblackboard: f.setFamily(parent->getFontBlackboard()); break;
        case MTEfraktur: f.setFamily(parent->getFontFraktur()); break;
        case MTEmathRoman: f.setFamily(parent->getFontMathRoman()); break;
        case MTEFallbackSymbols: f.setFamily(parent->getFallbackFontSymbols()); break;
        case MTECustomFont: f.setFamily(customFontName); break;
        default:
        case MTEroman: if (insideMath) {
                f.setFamily(parent->getFontMathRoman());
            } else {
                f.setFamily(parent->getFontRoman());
            }
            break;
    }
    f.setBold(bold);
    f.setItalic(italic);
    f.setUnderline(underlined);
    f.setOverline(overline);
    f.setStrikeOut(strike);
    f.setCapitalization(capitalization);
    if (fontSizeUnit==POINTS) f.setPointSizeF(fontSize);
    else if (fontSizeUnit==PIXELS) f.setPixelSize(static_cast<int>(fontSize));
    f.setStyleStrategy(QFont::NoFontMerging);
    return f;
}

JKQTMathTextEnvironment JKQTMathTextEnvironment::exchangedFontForRoman() const
{
    if (insideMath) return exchangedFontFor(MTEmathRoman);
    else return exchangedFontFor(MTEroman);
}

JKQTMathTextEnvironment JKQTMathTextEnvironment::exchangedFontFor(JKQTMathTextEnvironmentFont font) const
{
    JKQTMathTextEnvironment newEnv=*this;
    newEnv.font=font;
    return newEnv;
}

QString JKQTMathTextEnvironment::toHtmlStart(JKQTMathTextEnvironment defaultEv, JKQTMathText* parentMathText) const {
    QString s;
    if (fontSizeUnit==POINTS) s=s+"font-size: "+QLocale::c().toString(fontSize)+"pt; ";
    else if (fontSizeUnit==PIXELS) s=s+"font-size: "+QLocale::c().toString(fontSize)+"px; ";

    if (insideMath) {
        if (defaultEv.italic) {
            if (!italic) s=s+"font-style: italic; ";
            if (italic) s=s+"font-style: normal; ";
        } else {
            if (!italic) s=s+"font-style: italic; ";
        }
    } else {
        if (!defaultEv.italic && italic) s=s+"font-style: italic; ";
    }
    if (bold && !defaultEv.bold) s=s+"font-weight: bold";
    if (color!=defaultEv.color) s=s+"color: "+color.name();
    if (font!=defaultEv.font) s=s+"font-family: "+getFont(parentMathText).family();

    QStringList td;
    if (underlined && !defaultEv.underlined) td<<"underline";
    if (overline && !defaultEv.overline) td<<"overline";
    if (strike && !defaultEv.strike) td<<"line-through";
    if (td.size()>0) s=s+"text-decoration: "+td.join(", ");
    return "<span style=\""+s+"\">";
}

QString JKQTMathTextEnvironment::toHtmlAfter(JKQTMathTextEnvironment /*defaultEv*/, JKQTMathText */*parentMathText*/) const {
    return "</span>";
}

JKQTMathTextNodeSize::JKQTMathTextNodeSize(double width_, double baselineHeight_, double overallHeight_, double strikeoutPos_, double baselineXCorrection_, double topXCorrection_):
    width(width_),
    baselineHeight(baselineHeight_),
    overallHeight(overallHeight_),
    strikeoutPos(strikeoutPos_),
    baselineXCorrection(baselineXCorrection_),
    topXCorrection(topXCorrection_)
{

}


JKQTMathTextFontDefinition::JKQTMathTextFontDefinition():
    fontName("Times New Roman"), fontEncoding(MTFEStandard)
{

}




QPainterPath JKQTMathTextMakeDArrow(double x, double y, double width, double arrowW, bool left, bool right) {
    double x1=x;
    double x2=x+width;
    double dx=arrowW/4.0;
    double y1=y-dx;
    double y2=y+dx;
    double x3=x2-arrowW/2.0;
    double y3u=y-arrowW/2.0;
    double y3d=y+arrowW/2.0;
    double x3l=x+arrowW/2.0;

    QPainterPath path;
    path.moveTo(x1+dx, y1);
    path.lineTo(x2-dx, y1);
    path.moveTo(x1+dx, y2);
    path.lineTo(x2-dx, y2);
    if (right) {
        path.moveTo(x3, y3u);
        path.lineTo(x2, y);
        path.lineTo(x3, y3d);
    }
    if (left) {
        path.moveTo(x3l, y3u);
        path.lineTo(x1, y);
        path.lineTo(x3l, y3d);
    }
    return path;
}

QPainterPath JKQTMathTextMakeArrow(double x, double y, double width, double arrowW, bool left, bool right) {
    double x1=x;
    double x2=x+width;
    double x3=x2-arrowW/2.0;
    double y3u=y-arrowW/2.0;
    double y3d=y+arrowW/2.0;
    double x3l=x+arrowW/2.0;

    QPainterPath path;
    path.moveTo(x1, y);
    path.lineTo(x2, y);
    if (right) {
        path.moveTo(x3, y3u);
        path.lineTo(x2, y);
        path.lineTo(x3, y3d);
    }
    if (left) {
        path.moveTo(x3l, y3u);
        path.lineTo(x1, y);
        path.lineTo(x3l, y3d);
    }
    return path;
}

QPainterPath JKQTMathTextMakeHBracePath(double x, double ybrace, double width, double bw, double lineWidth, double cubicshrink, double cubiccontrolfac, double lineWidthShrinkFactor, double lineWidthGrowFactor) {
    const double thinLW=lineWidthShrinkFactor*lineWidth;
    const double thickLW=lineWidth*lineWidthGrowFactor;
    const double xleft=x-width/2.0;
    const double xleft_inner=xleft+thinLW;
    const double xleftflat_leftbottom=xleft+cubicshrink*bw;
    const double xleftflat_lefttop=xleft_inner+cubicshrink*bw;
    const double xright=x+width/2.0;
    const double xright_inner=xright-thinLW;
    const double xrightflat_rightbottom=xright-cubicshrink*bw;
    const double xrightflat_righttop=xright_inner-cubicshrink*bw;
    const double xleftflat_righttop=x-bw*cubicshrink;
    const double xlefttip=x-thinLW/2.0;
    const double xleftflat_rightbottom=xlefttip-bw*cubicshrink;
    const double xrightflat_lefttop=x+bw*cubicshrink;
    const double xrighttip=x+thinLW/2.0;
    const double xrightflat_leftbottom=xrighttip+bw*cubicshrink;

    const double ytop=ybrace-bw*cubicshrink;
    const double yctop=ybrace-thickLW/2.0;
    const double ycbottom=ybrace+thickLW/2.0;
    const double ybottom=ybrace+bw*cubicshrink;
    const double ybottomtip=ybottom-thickLW;

    const double dxyControl=bw*cubiccontrolfac;

    QPainterPath path;
    path.moveTo(xleft_inner, ytop);
    path.lineTo(xleft, ytop);  // top-left flat
    path.cubicTo(xleft, ytop+dxyControl, xleftflat_leftbottom-dxyControl, ycbottom, xleftflat_leftbottom, ycbottom);
    path.lineTo(xleftflat_rightbottom,ycbottom); // left arm, bottom
    path.cubicTo(xleftflat_rightbottom+dxyControl, ycbottom, xlefttip, ybottom-dxyControl, xlefttip, ybottom);
    path.lineTo(xrighttip, ybottom); // bottom flat
    path.cubicTo(xrighttip, ybottom-dxyControl,xrightflat_leftbottom-dxyControl, ycbottom, xrightflat_leftbottom, ycbottom);
    path.lineTo(xrightflat_rightbottom, ycbottom); // right arm, bottom
    path.cubicTo(xrightflat_rightbottom+dxyControl, ycbottom, xright, ytop+dxyControl, xright, ytop);

    path.lineTo(xright_inner,ytop); // top-right flat
    path.cubicTo(xright_inner, ytop+dxyControl, xrightflat_righttop+dxyControl, yctop, xrightflat_righttop, yctop);
    path.lineTo(xrightflat_lefttop, yctop); // right arm, top
    path.cubicTo(xrightflat_lefttop-dxyControl, yctop, x, yctop, x, ybottomtip); // center-tip
    path.cubicTo(x, yctop, xleftflat_righttop+dxyControl, yctop, xleftflat_righttop, yctop);
    path.lineTo(xleftflat_lefttop, yctop); // left arm, top
    path.cubicTo(xleftflat_lefttop-dxyControl, yctop, xleft_inner,ytop+dxyControl, xleft_inner, ytop);
    path.closeSubpath();
    return path;
}



namespace {

    struct JKQTMathTextCacheKeyBase {
        JKQTMathTextCacheKeyBase():
            f(), ldpiX(0), ldpiY(0), pdpiX(0), pdpiY(0)
        {}
        inline explicit JKQTMathTextCacheKeyBase(const QFont& f_, QPaintDevice *pd):
            f(f_)
        {
            if (pd) {
                ldpiX=pd->logicalDpiX();
                ldpiY=pd->logicalDpiY();
                pdpiX=pd->physicalDpiX();
                pdpiY=pd->physicalDpiY();
            } else {
                ldpiX=0;
                ldpiY=0;
                pdpiX=0;
                pdpiY=0;
            }
        }
        QFont f;
        int ldpiX, ldpiY, pdpiX, pdpiY;

        inline bool operator==(const JKQTMathTextCacheKeyBase& other) const{
            return ldpiX==other.ldpiX &&  ldpiY==other.ldpiY && pdpiX==other.pdpiX &&  pdpiY==other.pdpiY && f==other.f;
        };
        inline bool operator<(const JKQTMathTextCacheKeyBase& other) const{
            return ldpiX<other.ldpiX &&  ldpiY<other.ldpiY && pdpiX<other.pdpiX &&  pdpiY<other.pdpiY && f<other.f;
        };
        inline bool operator!=(const JKQTMathTextCacheKeyBase& other) const{
            return !operator==(other);
        };
    };

#if QT_VERSION >= QT_VERSION_CHECK(6,0,0)
    inline size_t qHash(const JKQTMathTextCacheKeyBase& data, size_t /*seedin=0*/) {
#else
    inline uint qHash(const JKQTMathTextCacheKeyBase& data, uint /*seedin=0*/) {
#endif
        std::size_t seed=0;
        jkqtp_combine_hash(seed, ::qHash(data.f,0));
        jkqtp_combine_hash(seed, ::qHash(data.ldpiX,0));
        jkqtp_combine_hash(seed, ::qHash(data.ldpiY,0));
        jkqtp_combine_hash(seed, ::qHash(data.pdpiX,0));
        jkqtp_combine_hash(seed, ::qHash(data.pdpiY,0));
        return seed;
    }

    struct JKQTMathTextCacheKeyBaseExt: public JKQTMathTextCacheKeyBase {
        inline explicit JKQTMathTextCacheKeyBaseExt(const QFont& f_, QPaintDevice *pd_):
            JKQTMathTextCacheKeyBase(f_,pd_), pd(pd_)
        {}

        QPaintDevice *pd;
    };





    template <class TText=QString>
    struct JKQTMathTextTBRDataH: public JKQTMathTextCacheKeyBase {
        JKQTMathTextTBRDataH():
            JKQTMathTextCacheKeyBase(), text("")
        {}
        inline explicit JKQTMathTextTBRDataH(const QFont& f_, const TText& text_, QPaintDevice *pd):
            JKQTMathTextCacheKeyBase(f_, pd), text(text_)
        {

        }
        TText text;

        inline bool operator==(const JKQTMathTextTBRDataH& other) const{
            return JKQTMathTextCacheKeyBase::operator==(other) && text==other.text;
        };
        inline bool operator!=(const JKQTMathTextTBRDataH& other) const{
            return JKQTMathTextCacheKeyBase::operator!=(other) && text!=other.text;
        };
        inline bool operator<(const JKQTMathTextTBRDataH& other) const{
            return JKQTMathTextCacheKeyBase::operator<(other) && text<other.text;
        };
    };


    template <class TText=QString>
#if QT_VERSION >= QT_VERSION_CHECK(6,0,0)
    inline size_t qHash(const JKQTMathTextTBRDataH<TText>& data, size_t /*seed=0*/) {
#else
    inline uint qHash(const JKQTMathTextTBRDataH<TText>& data, uint /*seed=0*/) {
#endif
        std::size_t seed=0;
        jkqtp_combine_hash(seed, ::qHash(data.f,0));
        jkqtp_combine_hash(seed, ::qHash(data.text,0));
        jkqtp_combine_hash(seed, ::qHash(data.ldpiX,0));
        jkqtp_combine_hash(seed, ::qHash(data.ldpiY,0));
        jkqtp_combine_hash(seed, ::qHash(data.pdpiX,0));
        jkqtp_combine_hash(seed, ::qHash(data.pdpiY,0));
        return seed;
    };

    template <class TText=QString>
    struct JKQTMathTextTBRDataHExt: public JKQTMathTextTBRDataH<TText> {
        inline explicit JKQTMathTextTBRDataHExt(const QFont& f_, const TText& text_, QPaintDevice *pd_):
            JKQTMathTextTBRDataH<TText>(f_,text_,pd_), pd(pd_)
        {}

        QPaintDevice *pd;
    };



}

template<>
struct std::hash<JKQTMathTextCacheKeyBase>
{
    std::size_t operator()(const JKQTMathTextCacheKeyBase& data) const noexcept
    {
        return qHash(data.f)+std::hash<int>()(data.ldpiX)+std::hash<int>()(data.ldpiY)+std::hash<int>()(data.pdpiX)+std::hash<int>()(data.pdpiY);
    }
};



template<>
struct std::hash<JKQTMathTextTBRDataH<QString>>
{
    std::size_t operator()(const JKQTMathTextTBRDataH<QString>& data) const noexcept
    {
        return qHash(data.f)+qHash(data.text)+std::hash<int>()(data.ldpiX)+std::hash<int>()(data.ldpiY)+std::hash<int>()(data.pdpiX)+std::hash<int>()(data.pdpiY);
    }
};

template<>
struct std::hash<JKQTMathTextTBRDataH<QChar>>
{
    std::size_t operator()(const JKQTMathTextTBRDataH<QChar>& data) const noexcept
    {
        return qHash(data.f)+qHash(data.text)+std::hash<int>()(data.ldpiX)+std::hash<int>()(data.ldpiY)+std::hash<int>()(data.pdpiX)+std::hash<int>()(data.pdpiY);
    }
};



QRectF JKQTMathTextGetTightBoundingRect(const QFont &f, const QString &text, QPaintDevice *pd)
{
    //thread_local JKQTPDataCache<QRectF,JKQTMathTextTBRDataH,false,JKQTMathTextTBRDataHExt> cache(
    static JKQTPDataCache<QRectF,JKQTMathTextTBRDataH<QString>,JKQTPDataCacheThreadSafe,JKQTMathTextTBRDataHExt<QString>> cache(
                    [](const JKQTMathTextTBRDataHExt<QString>& key) {
                        const QFontMetricsF fm(key.f, key.pd);
                        return fm.tightBoundingRect(key.text);
                    });

    return cache.get_inline(f, text, pd);

}

QRectF JKQTMathTextGetBoundingRect(const QFont &f, const QString &text, QPaintDevice *pd)
{
    //thread_local JKQTPDataCache<QRectF,JKQTMathTextTBRDataH,false,JKQTMathTextTBRDataHExt> cache(
    static JKQTPDataCache<QRectF,JKQTMathTextTBRDataH<QString>,JKQTPDataCacheThreadSafe,JKQTMathTextTBRDataHExt<QString>> cache(
        [](const JKQTMathTextTBRDataHExt<QString>& key) {
            const QFontMetricsF fm(key.f, key.pd);
            return fm.boundingRect(key.text);
        });

    return cache.get_inline(f, text, pd);
}


qreal JKQTMathTextGetHorAdvance(const QFont &f, const QString &text, QPaintDevice *pd)
{
    //thread_local JKQTPDataCache<double,JKQTMathTextTBRDataH,false,JKQTMathTextTBRDataHExt> cache(
    static JKQTPDataCache<qreal,JKQTMathTextTBRDataH<QString>,JKQTPDataCacheThreadSafe,JKQTMathTextTBRDataHExt<QString>> cache(
        [](const JKQTMathTextTBRDataHExt<QString>& key) {
            const QFontMetricsF fm(key.f, key.pd);
#if (QT_VERSION>=QT_VERSION_CHECK(5, 15, 0))
            return fm.horizontalAdvance(key.text);
#else
            return fm.width(key.text);
#endif
        });

    return cache.get_inline(f, text, pd);

}

qreal JKQTMathTextGetRightBearing(const QFont &f, const QChar &text, QPaintDevice *pd)
{
    //thread_local JKQTPDataCache<double,JKQTMathTextTBRDataH,false,JKQTMathTextTBRDataHExt> cache(
    static JKQTPDataCache<qreal,JKQTMathTextTBRDataH<QChar>,JKQTPDataCacheThreadSafe,JKQTMathTextTBRDataHExt<QChar>> cache(
        [](const JKQTMathTextTBRDataHExt<QChar>& key) {
            const QFontMetricsF fm(key.f, key.pd);
            return fm.rightBearing(key.text);
        });

    return cache.get_inline(f, text, pd);
}

qreal JKQTMathTextGetLeftBearing(const QFont &f, const QChar &text, QPaintDevice *pd)
{
    //thread_local JKQTPDataCache<double,JKQTMathTextTBRDataH,false,JKQTMathTextTBRDataHExt> cache(
    static JKQTPDataCache<qreal,JKQTMathTextTBRDataH<QChar>,JKQTPDataCacheThreadSafe,JKQTMathTextTBRDataHExt<QChar>> cache(
        [](const JKQTMathTextTBRDataHExt<QChar>& key) {
            const QFontMetricsF fm(key.f, key.pd);
            return fm.leftBearing(key.text);
        });

    return cache.get_inline(f, text, pd);

}

qreal JKQTMathTextGetFontAscent(const QFont &f, QPaintDevice *pd)
{
    static JKQTPDataCache<qreal,JKQTMathTextCacheKeyBase,JKQTPDataCacheThreadSafe,JKQTMathTextCacheKeyBaseExt> cache(
        [](const JKQTMathTextCacheKeyBaseExt& key) {
            const QFontMetricsF fm(key.f, key.pd);
            return fm.ascent();
        });

    return cache.get_inline(f, pd);
}

qreal JKQTMathTextGetFontDescent(const QFont &f, QPaintDevice *pd)
{
    static JKQTPDataCache<qreal,JKQTMathTextCacheKeyBase,JKQTPDataCacheThreadSafe,JKQTMathTextCacheKeyBaseExt> cache(
        [](const JKQTMathTextCacheKeyBaseExt& key) {
            const QFontMetricsF fm(key.f, key.pd);
            return fm.descent();
        });

    return cache.get_inline(f, pd);
}

qreal JKQTMathTextGetFontHeight(const QFont &f, QPaintDevice *pd)
{
    static JKQTPDataCache<qreal,JKQTMathTextCacheKeyBase,JKQTPDataCacheThreadSafe,JKQTMathTextCacheKeyBaseExt> cache(
        [](const JKQTMathTextCacheKeyBaseExt& key) {
            const QFontMetricsF fm(key.f, key.pd);
            return fm.height();
        });

    return cache.get_inline(f, pd);
}

qreal JKQTMathTextGetFontLineWidth(const QFont &f, QPaintDevice *pd)
{
    static JKQTPDataCache<qreal,JKQTMathTextCacheKeyBase,JKQTPDataCacheThreadSafe,JKQTMathTextCacheKeyBaseExt> cache(
        [](const JKQTMathTextCacheKeyBaseExt& key) {
            const QFontMetricsF fm(key.f, key.pd);
            return fm.lineWidth();
        });

    return cache.get_inline(f, pd);
}

qreal JKQTMathTextGetFontLeading(const QFont &f, QPaintDevice *pd)
{
    static JKQTPDataCache<qreal,JKQTMathTextCacheKeyBase,JKQTPDataCacheThreadSafe,JKQTMathTextCacheKeyBaseExt> cache(
        [](const JKQTMathTextCacheKeyBaseExt& key) {
            const QFontMetricsF fm(key.f, key.pd);
            return fm.leading();
        });

    return cache.get_inline(f, pd);
}

qreal JKQTMathTextGetFontLineSpacing(const QFont &f, QPaintDevice *pd)
{
    static JKQTPDataCache<qreal,JKQTMathTextCacheKeyBase,JKQTPDataCacheThreadSafe,JKQTMathTextCacheKeyBaseExt> cache(
        [](const JKQTMathTextCacheKeyBaseExt& key) {
            const QFontMetricsF fm(key.f, key.pd);
            return fm.lineSpacing();
        });

    return cache.get_inline(f, pd);
}

qreal JKQTMathTextGetFontStrikoutPos(const QFont &f, QPaintDevice *pd)
{
    static JKQTPDataCache<qreal,JKQTMathTextCacheKeyBase,JKQTPDataCacheThreadSafe,JKQTMathTextCacheKeyBaseExt> cache(
        [](const JKQTMathTextCacheKeyBaseExt& key) {
            const QFontMetricsF fm(key.f, key.pd);
            return fm.strikeOutPos();
        });

    return cache.get_inline(f, pd);
}

QFont JKQTMathTextGetNonItalic(const QFont &font)
{
    QFont f=font;
    f.setItalic(false);
    return f;
}


bool isPrintableJKQTMathTextBraceType(JKQTMathTextBraceType type)
{
    return (type!=MTBTAny) && (type!=MTBTUnknown);
}

JKQTMathTextFontEncoding estimateJKQTMathTextFontEncoding(QFont font)
{
    font.setStyleStrategy(QFont::NoFontMerging);
    const QString fontFamily=font.family().toLower();
    if (fontFamily=="symbol") return JKQTMathTextFontEncoding::MTFEWinSymbol;
    if (fontFamily.startsWith("xits") || fontFamily.startsWith("stix")||fontFamily.startsWith("asana")) return JKQTMathTextFontEncoding::MTFEUnicode;
    const QFontMetricsF fm(font);
    if (fm.inFont(QChar(0x3B1))) return JKQTMathTextFontEncoding::MTFEUnicode; // griechisch alpha
    if (fm.inFont(QChar(0x2192))) return JKQTMathTextFontEncoding::MTFEUnicode; // pfeil nach rechts
    if (fm.inFont(QChar(0x2202))) return JKQTMathTextFontEncoding::MTFEUnicode; // partial
    if (fm.inFont(QChar(0x2208))) return JKQTMathTextFontEncoding::MTFEUnicode; // element
    return JKQTMathTextFontEncoding::MTFELatin1;
}

QString JKQTMathTextHorizontalAlignment2String(JKQTMathTextHorizontalAlignment type)
{
    switch(type) {
        case MTHALeft: return "left";
        case MTHARight: return "right";
        default:
        case MTHACentered: return "centered";
    }
}

JKQTMathTextHorizontalAlignment String2JKQTMathTextHorizontalAlignment(QString tokenName)
{
    tokenName=tokenName.toLower().trimmed();
    if (tokenName=="l" || tokenName=="left" || tokenName=="flushleft") return MTHALeft;
    if (tokenName=="r" || tokenName=="right" || tokenName=="flushright") return MTHARight;
    if (tokenName=="c" || tokenName=="center" || tokenName=="centered") return MTHACentered;
    return MTHACentered;
}

QString JKQTMathTextVerticalOrientation2String(JKQTMathTextVerticalOrientation mode)
{
    switch(mode) {
        case MTVOTop: return "top";
        case MTVOCentered: return "centered";
        case MTVOLastLine: return "last_line";
        case MTVOBottom: return "bottom";
        default:
        case MTVOFirstLine: return "first_line";
    }
}

JKQTMathTextVerticalOrientation String2JKQTMathTextVerticalOrientation(QString tokenName)
{
    tokenName=tokenName.toLower().trimmed();
    if (tokenName=="p" || tokenName=="first_line" || tokenName=="first-line" || tokenName=="firstline" || tokenName=="line1") return MTVOFirstLine;
    if (tokenName=="last_line" || tokenName=="last-line" || tokenName=="lastline" || tokenName=="linen") return MTVOLastLine;
    if (tokenName=="t" || tokenName=="top") return MTVOTop;
    if (tokenName=="b" || tokenName=="bottom") return MTVOBottom;
    if (tokenName=="c" || tokenName=="center" || tokenName=="centered") return MTVOCentered;
    return MTVOCentered;
}

QString JKQTMathTextBlackboradDrawingMode2String(JKQTMathTextBlackboradDrawingMode mode)
{
    switch(mode) {
        case MTBBDMfontDirectly: return "font_directly";
        case MTBBDMsimulate: return "simulate";
        case MTBBDMunicodeCharactersOrFontDirectly: return "unicode_or_font_directly";
        case MTBBDMunicodeCharactersOrSimulate: return "unicode_or_simulate";
    }
    return "font_directly";
}


JKQTMathTextBlackboradDrawingMode String2JKQTMathTextBlackboradDrawingMode(QString mode)
{
    mode=mode.toLower().simplified().trimmed();
    if (mode=="font_directly" || mode=="font" || mode=="directly") return MTBBDMfontDirectly;
    if (mode=="simulate") return MTBBDMsimulate;
    if (mode=="unicode_or_font_directly" || mode=="unicode_or_font" || mode=="unicode_or_directly") return MTBBDMunicodeCharactersOrFontDirectly;
    if (mode=="unicode_or_simulate") return MTBBDMunicodeCharactersOrSimulate;
    if (mode=="default") return MTBBDMdefault;
    return MTBBDMdefault;
}

void JKQTMathTextDrawStringSimBlackboard(QPainter &painter, const QFont &f, const QColor& color, double x, double y, const QString &txt)
{
    const qreal lw=JKQTMathTextGetFontLineWidth(f, painter.device());
    const QPen p(color, lw/4.0, Qt::SolidLine);
    painter.setPen(p);
    QPainterPath path;
    path.addText(QPointF(x, y), f, txt);
    path.addText(QPointF(x+lw/2.0, y), f, txt);
    painter.drawPath(path);
}


QString JKQTMathTextLineSpacingMode2String(JKQTMathTextLineSpacingMode mode)
{
    switch(mode) {
        case MTSMMinimalSpacing: return "minimal";
        default:
        case MTSMDefaultSpacing: return "default";
    }
}

JKQTMathTextLineSpacingMode String2JKQTMathTextLineSpacingMode(QString tokenName)
{
    tokenName=tokenName.toLower().trimmed();
    if (tokenName=="default") return MTSMDefaultSpacing;
    if (tokenName=="minimal" || tokenName=="min" || tokenName=="minimum") return MTSMMinimalSpacing;
    return MTSMDefaultSpacing;
}