valentina/src/libs/qmuparser/qmuparsertest.cpp

/***************************************************************************************************
 **
 **  Copyright (C) 2013 Ingo Berg
 **
 **  Permission is hereby granted, free of charge, to any person obtaining a copy of this
 **  software and associated documentation files (the "Software"), to deal in the Software
 **  without restriction, including without limitation the rights to use, copy, modify,
 **  merge, publish, distribute, sublicense, and/or sell copies of the Software, and to
 **  permit persons to whom the Software is furnished to do so, subject to the following conditions:
 **
 **  The above copyright notice and this permission notice shall be included in all copies or
 **  substantial portions of the Software.
 **
 **  THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT
 **  NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
 **  NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM,
 **  DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
 **  OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
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 ******************************************************************************************************/

#include "qmuparsertest.h"

#include <stdio.h>
#include <QChar>
#include <QCoreApplication>
#include <QMessageLogger>
#include <QString>
#include <QtDebug>
#include <exception>
#include <limits>
#include <map>
#include <memory>
#include <sstream>
#include <stdexcept>
#include <string>
#include <utility>

#include "qmudef.h"
#include "qmuparser.h"
#include "qmuparsererror.h"
#include "../vmisc/vmath.h"

using namespace std;

/**
 * @file
 * @brief This file contains the implementation of parser test cases.
 */

namespace qmu
{
namespace Test
{
int QmuParserTester::c_iCount = 0;

//---------------------------------------------------------------------------------------------------------------------
QmuParserTester::QmuParserTester(QObject *parent)
    : QObject(parent), m_vTestFun()
{
    AddTest ( &QmuParserTester::TestNames );
    AddTest ( &QmuParserTester::TestSyntax );
    AddTest ( &QmuParserTester::TestPostFix );
    AddTest ( &QmuParserTester::TestInfixOprt );
    AddTest ( &QmuParserTester::TestVarConst );
    AddTest ( &QmuParserTester::TestMultiArg );
    AddTest ( &QmuParserTester::TestExpression );
    AddTest ( &QmuParserTester::TestIfThenElse );
    AddTest ( &QmuParserTester::TestInterface );
    AddTest ( &QmuParserTester::TestBinOprt );
    AddTest ( &QmuParserTester::TestException );
    AddTest ( &QmuParserTester::TestStrArg );
    AddTest ( &QmuParserTester::TestBulkMode );

    QmuParserTester::c_iCount = 0;
}

//---------------------------------------------------------------------------------------------------------------------
int QmuParserTester::IsHexVal ( const QString &a_szExpr, int *a_iPos, qreal *a_fVal, const std::locale &s_locale )
{
    Q_UNUSED(s_locale)
    if ( a_szExpr.data()[1] == 0 || ( a_szExpr.data()[0] != '0' || a_szExpr.data()[1] != 'x' ) )
    {
        return 0;
    }

    unsigned iVal ( 0 );

    std::wstring a_szExprStd = a_szExpr.mid(2).toStdWString();

    // New code based on streams for UNICODE compliance:
    stringstream_type::pos_type nPos(0);
    stringstream_type ss(a_szExprStd);
    ss >> std::hex >> iVal;
    nPos = ss.tellg();

    if (nPos==static_cast<stringstream_type::pos_type>(0))
    {
        return 1;
    }

    *a_iPos += static_cast<int>(2 + nPos);
    *a_fVal = static_cast<qreal>(iVal);
    return 1;
}

//---------------------------------------------------------------------------------------------------------------------
int QmuParserTester::TestInterface()
{
    int iStat = 0;
    qWarning() << "testing member functions...";

    // Test RemoveVar
    qreal afVal[3] = {1, 2, 3};
    QmuParser p;

    try
    {
        p.DefineVar ( "a", &afVal[0] );
        p.DefineVar ( "b", &afVal[1] );
        p.DefineVar ( "c", &afVal[2] );
        p.SetExpr ( "a+b+c" );
        p.Eval();
    }
    catch ( ... )
    {
        iStat += 1;  // this is not supposed to happen
    }

    try
    {
        p.RemoveVar ( "c" );
        p.Eval();
        iStat += 1;  // not supposed to reach this, nonexisting variable "c" deleted...
    }
    catch ( ... )
    { //-V565
        // failure is expected...
    }

    if ( iStat == 0 )
    {
        qWarning() << "TestInterface passed";
    }
    else
    {
        qWarning() << "\n TestInterface failed with " << iStat << " errors";
    }

    return iStat;
}

//---------------------------------------------------------------------------------------------------------------------
int QmuParserTester::TestStrArg()
{
    int iStat = 0;
    qWarning() << "testing string arguments...";

    iStat += EqnTest ( "valueof(\"\")", 123, true ); // empty string arguments caused a crash
    iStat += EqnTest ( "valueof(\"aaa\")+valueof(\"bbb\")  ", 246, true );
    iStat += EqnTest ( "2*(valueof(\"aaa\")-23)+valueof(\"bbb\")", 323, true );
    // use in expressions with variables
    iStat += EqnTest ( "a*(atof(\"10\")-b)", 8, true );
    iStat += EqnTest ( "a-(atof(\"10\")*b)", -19, true );
    // string + numeric arguments
    iStat += EqnTest ( "strfun1(\"100\")", 100, true );
    iStat += EqnTest ( "strfun2(\"100\",1)", 101, true );
    iStat += EqnTest ( "strfun3(\"99\",1,2)", 102, true );

    if ( iStat == 0 )
    {
        qWarning() << "TestStrArg passed";
    }
    else
    {
        qWarning() << "\n TestStrArg failed with " << iStat << " errors";
    }

    return iStat;
}

//---------------------------------------------------------------------------------------------------------------------
int QmuParserTester::TestBulkMode()
{
    int iStat = 0;
    qWarning() << "testing bulkmode...";

#define EQN_TEST_BULK(EXPR, R1, R2, R3, R4, PASS) \
    { \
        double res[] = { R1, R2, R3, R4 }; \
        iStat += EqnTestBulk(EXPR, res, (PASS)); \
    }

    // Bulk Variables for the test:
    // a: 1,2,3,4
    // b: 2,2,2,2
    // c: 3,3,3,3
    // d: 5,4,3,2
    EQN_TEST_BULK("a",   1, 1, 1, 1, false)
    EQN_TEST_BULK("a",   1, 2, 3, 4, true)
    EQN_TEST_BULK("b=a", 1, 2, 3, 4, true)
    EQN_TEST_BULK("b=a, b*10", 10, 20, 30, 40, true)
    EQN_TEST_BULK("b=a, b*10, a", 1, 2, 3, 4, true)
    EQN_TEST_BULK("a+b", 3, 4, 5, 6, true)
    EQN_TEST_BULK("c*(a+b)", 9, 12, 15, 18, true)
#undef EQN_TEST_BULK

    if (iStat == 0)
    {
        qWarning() << "passed";
    }
    else
    {
        qWarning() << "\n  failed with " << iStat << " errors";
    }

    return iStat;
}

//---------------------------------------------------------------------------------------------------------------------
int QmuParserTester::TestBinOprt()
{
    int iStat = 0;
    qWarning() << "testing binary operators...";

    // built in operators
    // xor operator

    iStat += EqnTest ( "a++b", 3, true );
    iStat += EqnTest ( "a ++ b", 3, true );
    iStat += EqnTest ( "1++2", 3, true );
    iStat += EqnTest ( "1 ++ 2", 3, true );
    iStat += EqnTest ( "a add b", 3, true );
    iStat += EqnTest ( "1 add 2", 3, true );
    iStat += EqnTest ( "a<b", 1, true );
    iStat += EqnTest ( "b>a", 1, true );
    iStat += EqnTest ( "a>a", 0, true );
    iStat += EqnTest ( "a<a", 0, true );
    iStat += EqnTest ( "a>a", 0, true );
    iStat += EqnTest ( "a<=a", 1, true );
    iStat += EqnTest ( "a<=b", 1, true );
    iStat += EqnTest ( "b<=a", 0, true );
    iStat += EqnTest ( "a>=a", 1, true );
    iStat += EqnTest ( "b>=a", 1, true );
    iStat += EqnTest ( "a>=b", 0, true );

    // Test logical operators, expecially if user defined "&" and the internal "&&" collide
    iStat += EqnTest ( "1 && 1", 1, true );
    iStat += EqnTest ( "1 && 0", 0, true );
    iStat += EqnTest ( "(a<b) && (b>a)", 1, true );
    iStat += EqnTest ( "(a<b) && (a>b)", 0, true );
    //iStat += EqnTest("12 and 255", 12, true);
    //iStat += EqnTest("12 and 0", 0, true);
    iStat += EqnTest ( "12 & 255", 12, true );
    iStat += EqnTest ( "12 & 0", 0, true );
    iStat += EqnTest ( "12&255", 12, true );
    iStat += EqnTest ( "12&0", 0, true );

    // Assignement operator
    iStat += EqnTest ( "a = b", 2, true );
    iStat += EqnTest ( "a = sin(b)", 0.909297, true );
    iStat += EqnTest ( "a = 1+sin(b)", 1.909297, true );
    iStat += EqnTest ( "(a=b)*2", 4, true );
    iStat += EqnTest ( "2*(a=b)", 4, true );
    iStat += EqnTest ( "2*(a=b+1)", 6, true );
    iStat += EqnTest ( "(a=b+1)*2", 6, true );
    iStat += EqnTest ( "a=c, a*10", 30, true);

    iStat += EqnTest ( "2^2^3", 256, true );
    iStat += EqnTest ( "1/2/3", 1.0 / 6.0, true );

    // reference: http://www.wolframalpha.com/input/?i=3%2B4*2%2F%281-5%29^2^3
    iStat += EqnTest ( "3+4*2/(1-5)^2^3", 3.0001220703125, true );

    if ( iStat == 0 )
    {
        qWarning() << "TestBinOprt passed";
    }
    else
    {
        qWarning() << "\n TestBinOprt failed with " << iStat << " errors";
    }

    return iStat;
}

//---------------------------------------------------------------------------------------------------------------------
/** @brief Check muParser name restriction enforcement. */
int QmuParserTester::TestNames()
{
    int  iStat = 0,
         iErr = 0;

    qWarning() << "testing name restriction enforcement...";

    QmuParser p;

#define PARSER_THROWCHECK(DOMAIN, FAIL, EXPR, ARG) \
      iErr = 0;                                    \
      QmuParserTester::c_iCount++;                 \
      try                                          \
      {                                            \
        p.Define##DOMAIN(EXPR, ARG);               \
      }                                            \
      catch (QmuParserError &)                     \
      {                                            \
        iErr = static_cast<int>(FAIL);             \
      }                                            \
      iStat += iErr;

    // constant names
    PARSER_THROWCHECK ( Const, false, "0a", 1 )
    PARSER_THROWCHECK ( Const, false, "9a", 1 )
    PARSER_THROWCHECK ( Const, false, "+a", 1 )
    PARSER_THROWCHECK ( Const, false, "-a", 1 )
    PARSER_THROWCHECK ( Const, false, "a-", 1 )
    PARSER_THROWCHECK ( Const, false, "a*", 1 )
    PARSER_THROWCHECK ( Const, false, "a?", 1 )
    PARSER_THROWCHECK ( Const, true, "a", 1 )
    PARSER_THROWCHECK ( Const, true, "a_min", 1 )
    PARSER_THROWCHECK ( Const, true, "a_min0", 1 )
    PARSER_THROWCHECK ( Const, true, "a_min9", 1 )
    // variable names
    qreal a;
    p.ClearConst();
    PARSER_THROWCHECK ( Var, false, "123abc", &a )
    PARSER_THROWCHECK ( Var, false, "9a", &a )
    PARSER_THROWCHECK ( Var, false, "0a", &a )
    PARSER_THROWCHECK ( Var, false, "+a", &a )
    PARSER_THROWCHECK ( Var, false, "-a", &a )
    PARSER_THROWCHECK ( Var, false, "?a", &a )
    PARSER_THROWCHECK ( Var, false, "!a", &a )
    PARSER_THROWCHECK ( Var, false, "a+", &a )
    PARSER_THROWCHECK ( Var, false, "a-", &a )
    PARSER_THROWCHECK ( Var, false, "a*", &a )
    PARSER_THROWCHECK ( Var, false, "a?", &a )
    PARSER_THROWCHECK ( Var, true,  "a", &a )
    PARSER_THROWCHECK ( Var, true,  "a_min", &a )
    PARSER_THROWCHECK ( Var, true,  "a_min0", &a )
    PARSER_THROWCHECK ( Var, true,  "a_min9", &a )
    PARSER_THROWCHECK ( Var, false, "a_min9", 0 )
    // Postfix operators
    // fail
    PARSER_THROWCHECK ( PostfixOprt, false, "(k", f1of1 )
    PARSER_THROWCHECK ( PostfixOprt, false, "9+", f1of1 )
    PARSER_THROWCHECK ( PostfixOprt, false, "+", 0 )
    // pass
    PARSER_THROWCHECK ( PostfixOprt, true, "-a",  f1of1 )
    PARSER_THROWCHECK ( PostfixOprt, true, "?a",  f1of1 )
    PARSER_THROWCHECK ( PostfixOprt, true, "_",   f1of1 )
    PARSER_THROWCHECK ( PostfixOprt, true, "#",   f1of1 )
    PARSER_THROWCHECK ( PostfixOprt, true, "&&",  f1of1 )
    PARSER_THROWCHECK ( PostfixOprt, true, "||",  f1of1 )
    PARSER_THROWCHECK ( PostfixOprt, true, "&",   f1of1 )
    PARSER_THROWCHECK ( PostfixOprt, true, "|",   f1of1 )
    PARSER_THROWCHECK ( PostfixOprt, true, "++",  f1of1 )
    PARSER_THROWCHECK ( PostfixOprt, true, "--",  f1of1 )
    PARSER_THROWCHECK ( PostfixOprt, true, "?>",  f1of1 )
    PARSER_THROWCHECK ( PostfixOprt, true, "?<",  f1of1 )
    PARSER_THROWCHECK ( PostfixOprt, true, "**",  f1of1 )
    PARSER_THROWCHECK ( PostfixOprt, true, "xor", f1of1 )
    PARSER_THROWCHECK ( PostfixOprt, true, "and", f1of1 )
    PARSER_THROWCHECK ( PostfixOprt, true, "or",  f1of1 )
    PARSER_THROWCHECK ( PostfixOprt, true, "not", f1of1 )
    PARSER_THROWCHECK ( PostfixOprt, true, "!",   f1of1 )
    // Binary operator
    // The following must fail with builtin operators activated
    // p.EnableBuiltInOp(true); -> this is the default
    p.ClearPostfixOprt();
    PARSER_THROWCHECK ( Oprt, false, "+",  f1of2 )
    PARSER_THROWCHECK ( Oprt, false, "-",  f1of2 )
    PARSER_THROWCHECK ( Oprt, false, "*",  f1of2 )
    PARSER_THROWCHECK ( Oprt, false, "/",  f1of2 )
    PARSER_THROWCHECK ( Oprt, false, "^",  f1of2 )
    PARSER_THROWCHECK ( Oprt, false, "&&",  f1of2 )
    PARSER_THROWCHECK ( Oprt, false, "||",  f1of2 )
    // without activated built in operators it should work
    p.EnableBuiltInOprt ( false );
    PARSER_THROWCHECK ( Oprt, true, "+",  f1of2 )
    PARSER_THROWCHECK ( Oprt, true, "-",  f1of2 )
    PARSER_THROWCHECK ( Oprt, true, "*",  f1of2 )
    PARSER_THROWCHECK ( Oprt, true, "/",  f1of2 )
    PARSER_THROWCHECK ( Oprt, true, "^",  f1of2 )
    PARSER_THROWCHECK ( Oprt, true, "&&",  f1of2 )
    PARSER_THROWCHECK ( Oprt, true, "||",  f1of2 )
#undef PARSER_THROWCHECK

    if ( iStat == 0 )
    {
        qWarning() << "TestNames passed";
    }
    else
    {
        qWarning() << "\n TestNames failed with " << iStat << " errors";
    }

    return iStat;
}

//---------------------------------------------------------------------------------------------------------------------
int QmuParserTester::TestSyntax()
{
    int iStat = 0;
    qWarning() << "testing syntax engine...";

    iStat += ThrowTest ( "1,", ecUNEXPECTED_EOF ); // incomplete hex definition
    iStat += ThrowTest ( "a,", ecUNEXPECTED_EOF ); // incomplete hex definition
    iStat += ThrowTest ( "sin(8),", ecUNEXPECTED_EOF ); // incomplete hex definition
    iStat += ThrowTest ( "(sin(8)),", ecUNEXPECTED_EOF ); // incomplete hex definition
    iStat += ThrowTest ( "a{m},", ecUNEXPECTED_EOF ); // incomplete hex definition

    iStat += EqnTest ( "(1+ 2*a)", 3, true ); // Spaces within formula
    iStat += EqnTest ( "sqrt((4))", 2, true ); // Multiple brackets
    iStat += EqnTest ( "sqrt((2)+2)", 2, true ); // Multiple brackets
    iStat += EqnTest ( "sqrt(2+(2))", 2, true ); // Multiple brackets
    iStat += EqnTest ( "sqrt(a+(3))", 2, true ); // Multiple brackets
    iStat += EqnTest ( "sqrt((3)+a)", 2, true ); // Multiple brackets
    iStat += EqnTest ( "order(1,2)", 1, true ); // May not cause name collision with operator "or"
    iStat += EqnTest ( "(2+", 0, false );    // missing closing bracket
    iStat += EqnTest ( "2++4", 0, false );   // unexpected operator
    iStat += EqnTest ( "2+-4", 0, false );   // unexpected operator
    iStat += EqnTest ( "(2+)", 0, false );   // unexpected closing bracket
    iStat += EqnTest ( "--2", 0, false );    // double sign
    iStat += EqnTest ( "ksdfj", 0, false );  // unknown token
    iStat += EqnTest ( "()", 0, false );     // empty bracket without a function
    iStat += EqnTest ( "5+()", 0, false );   // empty bracket without a function
    iStat += EqnTest ( "sin(cos)", 0, false ); // unexpected function
    iStat += EqnTest ( "5t6", 0, false );    // unknown token
    iStat += EqnTest ( "5 t 6", 0, false );  // unknown token
    iStat += EqnTest ( "8*", 0, false );     // unexpected end of formula
    iStat += EqnTest ( ",3", 0, false );     // unexpected comma
    iStat += EqnTest ( "3,5", 0, false );    // unexpected comma
    iStat += EqnTest ( "sin(8,8)", 0, false ); // too many function args
    iStat += EqnTest ( "(7,8)", 0, false );  // too many function args
    iStat += EqnTest ( "sin)", 0, false );   // unexpected closing bracket
    iStat += EqnTest ( "a)", 0, false );     // unexpected closing bracket
    iStat += EqnTest ( "pi)", 0, false );    // unexpected closing bracket
    iStat += EqnTest ( "sin(())", 0, false ); // unexpected closing bracket
    iStat += EqnTest ( "sin()", 0, false );  // unexpected closing bracket

    if ( iStat == 0 )
    {
        qWarning() << "TestSyntax passed";
    }
    else
    {
        qWarning() << "\n TestSyntax failed with " << iStat << " errors";
    }

    return iStat;
}

//---------------------------------------------------------------------------------------------------------------------
int QmuParserTester::TestVarConst()
{
    int iStat = 0;
    qWarning() << "testing variable/constant detection...";

    // Test if the result changes when a variable changes
    iStat += EqnTestWithVarChange ( "a", 1, 1, 2, 2 );
    iStat += EqnTestWithVarChange ( "2*a", 2, 4, 3, 6 );

    // distinguish constants with same basename
    iStat += EqnTest ( "const", 1, true );
    iStat += EqnTest ( "const1", 2, true );
    iStat += EqnTest ( "const2", 3, true );
    iStat += EqnTest ( "2*const", 2, true );
    iStat += EqnTest ( "2*const1", 4, true );
    iStat += EqnTest ( "2*const2", 6, true );
    iStat += EqnTest ( "2*const+1", 3, true );
    iStat += EqnTest ( "2*const1+1", 5, true );
    iStat += EqnTest ( "2*const2+1", 7, true );
    iStat += EqnTest ( "const", 0, false );
    iStat += EqnTest ( "const1", 0, false );
    iStat += EqnTest ( "const2", 0, false );

    // distinguish variables with same basename
    iStat += EqnTest ( "a", 1, true );
    iStat += EqnTest ( "aa", 2, true );
    iStat += EqnTest ( "2*a", 2, true );
    iStat += EqnTest ( "2*aa", 4, true );
    iStat += EqnTest ( "2*a-1", 1, true );
    iStat += EqnTest ( "2*aa-1", 3, true );

    // custom value recognition
    iStat += EqnTest ( "0xff", 255, true );
    iStat += EqnTest ( "0x97 + 0xff", 406, true );

    // Finally test querying of used variables
    try
    {
        int idx;
        qmu::QmuParser p;
        qreal vVarVal[] = { 1, 2, 3, 4, 5};
        p.DefineVar ( "a", &vVarVal[0] );
        p.DefineVar ( "b", &vVarVal[1] );
        p.DefineVar ( "c", &vVarVal[2] );
        p.DefineVar ( "d", &vVarVal[3] );
        p.DefineVar ( "e", &vVarVal[4] );

        // Test lookup of defined variables
        // 4 used variables
        p.SetExpr ( "a+b+c+d" );
        qmu::varmap_type UsedVar = p.GetUsedVar();
        int iCount = static_cast<int>(UsedVar.size());
        if ( iCount != 4 )
        {
            throw false;
        }

        // the next check will fail if the parser
        // erroneousely creates new variables internally
        if ( p.GetVar().size() != 5 )
        {
            throw false;
        }

        qmu::varmap_type::const_iterator item = UsedVar.begin();
        for ( idx = 0; item != UsedVar.end(); ++item )
        {
            if ( &vVarVal[idx++] != item->second )
            {
                throw false;
            }
        }

        // Test lookup of undefined variables
        p.SetExpr ( "undef1+undef2+undef3" );
        UsedVar = p.GetUsedVar();
        iCount = static_cast<int>(UsedVar.size());
        if ( iCount != 3 )
        {
            throw false;
        }

        // the next check will fail if the parser
        // erroneousely creates new variables internally
        if ( p.GetVar().size() != 5 )
        {
            throw false;
        }

        for ( item = UsedVar.begin(); item != UsedVar.end(); ++item )
        {
            if ( item->second != 0 )
            {
                throw false; // all pointers to undefined variables must be null
            }
        }

        // 1 used variables
        p.SetExpr ( "a+b" );
        UsedVar = p.GetUsedVar();
        iCount = static_cast<int>(UsedVar.size());
        if ( iCount != 2 )
        {
            throw false;
        }
        item = UsedVar.begin();
        for ( idx = 0; item != UsedVar.end(); ++item )
        {
            if ( &vVarVal[idx++] != item->second )
            {
                throw false;
            }
        }

    }
    catch ( ... )
    {
        iStat += 1;
    }

    if ( iStat == 0 )
    {
        qWarning() << "TestVarConst passed";
    }
    else
    {
        qWarning() << "\n TestVarConst failed with " << iStat << " errors";
    }

    return iStat;
}

//---------------------------------------------------------------------------------------------------------------------
int QmuParserTester::TestMultiArg()
{
    int iStat = 0;
    qWarning() << "testing multiarg functions...";

    // Compound expressions
    iStat += EqnTest ( "1,2,3", 3, true );
    iStat += EqnTest ( "a,b,c", 3, true );
    iStat += EqnTest ( "a=10,b=20,c=a*b", 200, true );
    iStat += EqnTest ( "1,\n2,\n3", 3, true );
    iStat += EqnTest ( "a,\nb,\nc", 3, true );
    iStat += EqnTest ( "a=10,\nb=20,\nc=a*b", 200, true );
    iStat += EqnTest ( "1,\r\n2,\r\n3", 3, true );
    iStat += EqnTest ( "a,\r\nb,\r\nc", 3, true );
    iStat += EqnTest ( "a=10,\r\nb=20,\r\nc=a*b", 200, true );

    // picking the right argument
    iStat += EqnTest ( "f1of1(1)", 1, true );
    iStat += EqnTest ( "f1of2(1, 2)", 1, true );
    iStat += EqnTest ( "f2of2(1, 2)", 2, true );
    iStat += EqnTest ( "f1of3(1, 2, 3)", 1, true );
    iStat += EqnTest ( "f2of3(1, 2, 3)", 2, true );
    iStat += EqnTest ( "f3of3(1, 2, 3)", 3, true );
    iStat += EqnTest ( "f1of4(1, 2, 3, 4)", 1, true );
    iStat += EqnTest ( "f2of4(1, 2, 3, 4)", 2, true );
    iStat += EqnTest ( "f3of4(1, 2, 3, 4)", 3, true );
    iStat += EqnTest ( "f4of4(1, 2, 3, 4)", 4, true );
    iStat += EqnTest ( "f1of5(1, 2, 3, 4, 5)", 1, true );
    iStat += EqnTest ( "f2of5(1, 2, 3, 4, 5)", 2, true );
    iStat += EqnTest ( "f3of5(1, 2, 3, 4, 5)", 3, true );
    iStat += EqnTest ( "f4of5(1, 2, 3, 4, 5)", 4, true );
    iStat += EqnTest ( "f5of5(1, 2, 3, 4, 5)", 5, true );
    // Too few arguments / Too many arguments
    iStat += EqnTest ( "1+ping()", 11, true );
    iStat += EqnTest ( "ping()+1", 11, true );
    iStat += EqnTest ( "2*ping()", 20, true );
    iStat += EqnTest ( "ping()*2", 20, true );
    iStat += EqnTest ( "ping(1,2)", 0, false );
    iStat += EqnTest ( "1+ping(1,2)", 0, false );
    iStat += EqnTest ( "f1of1(1,2)", 0, false );
    iStat += EqnTest ( "f1of1()", 0, false );
    iStat += EqnTest ( "f1of2(1, 2, 3)", 0, false );
    iStat += EqnTest ( "f1of2(1)", 0, false );
    iStat += EqnTest ( "f1of3(1, 2, 3, 4)", 0, false );
    iStat += EqnTest ( "f1of3(1)", 0, false );
    iStat += EqnTest ( "f1of4(1, 2, 3, 4, 5)", 0, false );
    iStat += EqnTest ( "f1of4(1)", 0, false );
    iStat += EqnTest ( "(1,2,3)", 0, false );
    iStat += EqnTest ( "1,2,3", 0, false );
    iStat += EqnTest ( "(1*a,2,3)", 0, false );
    iStat += EqnTest ( "1,2*a,3", 0, false );

    // correct calculation of arguments
    iStat += EqnTest ( "min(a, 1)",  1, true );
    iStat += EqnTest ( "min(3*2, 1)",  1, true );
    iStat += EqnTest ( "min(3*2, 1)",  6, false );
    iStat += EqnTest ( "firstArg(2,3,4)", 2, true );
    iStat += EqnTest ( "lastArg(2,3,4)", 4, true );
    iStat += EqnTest ( "min(3*a+1, 1)",  1, true );
    iStat += EqnTest ( "max(3*a+1, 1)",  4, true );
    iStat += EqnTest ( "max(3*a+1, 1)*2",  8, true );
    iStat += EqnTest ( "2*max(3*a+1, 1)+2",  10, true );

    // functions with Variable argument count
    iStat += EqnTest ( "sum(a)", 1, true );
    iStat += EqnTest ( "sum(1,2,3)",  6, true );
    iStat += EqnTest ( "sum(a,b,c)",  6, true );
    iStat += EqnTest ( "sum(1,-max(1,2),3)*2",  4, true );
    iStat += EqnTest ( "2*sum(1,2,3)",  12, true );
    iStat += EqnTest ( "2*sum(1,2,3)+2",  14, true );
    iStat += EqnTest ( "2*sum(-1,2,3)+2",  10, true );
    iStat += EqnTest ( "2*sum(-1,2,-(-a))+2",  6, true );
    iStat += EqnTest ( "2*sum(-1,10,-a)+2",  18, true );
    iStat += EqnTest ( "2*sum(1,2,3)*2",  24, true );
    iStat += EqnTest ( "sum(1,-max(1,2),3)*2",  4, true );
    iStat += EqnTest ( "sum(1*3, 4, a+2)",  10, true );
    iStat += EqnTest ( "sum(1*3, 2*sum(1,2,2), a+2)",  16, true );
    iStat += EqnTest ( "sum(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2)", 24, true );

    // some failures
    iStat += EqnTest ( "sum()",  0, false );
    iStat += EqnTest ( "sum(,)",  0, false );
    iStat += EqnTest ( "sum(1,2,)",  0, false );
    iStat += EqnTest ( "sum(,1,2)",  0, false );

    if ( iStat == 0 )
    {
        qWarning() << "TestMultiArg passed";
    }
    else
    {
        qWarning() << "\n TestMultiArg failed with " << iStat << " errors";
    }

    return iStat;
}


//---------------------------------------------------------------------------------------------------------------------
int QmuParserTester::TestInfixOprt()
{
    int iStat ( 0 );
    qWarning() << "testing infix operators...";

    iStat += EqnTest ( "-1",    -1, true );
    iStat += EqnTest ( "-(-1)",  1, true );
    iStat += EqnTest ( "-(-1)*2",  2, true );
    iStat += EqnTest ( "-(-2)*sqrt(4)",  4, true );
    iStat += EqnTest ( "-_pi", -M_PI, true );
    iStat += EqnTest ( "-a",  -1, true );
    iStat += EqnTest ( "-(a)",  -1, true );
    iStat += EqnTest ( "-(-a)",  1, true );
    iStat += EqnTest ( "-(-a)*2",  2, true );
    iStat += EqnTest ( "-(8)", -8, true );
    iStat += EqnTest ( "-8", -8, true );
    iStat += EqnTest ( "-(2+1)", -3, true );
    iStat += EqnTest ( "-(f1of1(1+2*3)+1*2)", -9, true );
    iStat += EqnTest ( "-(-f1of1(1+2*3)+1*2)", 5, true );
    iStat += EqnTest ( "-sin(8)", -0.989358, true );
    iStat += EqnTest ( "3-(-a)", 4, true );
    iStat += EqnTest ( "3--a", 4, true );
    iStat += EqnTest ( "-1*3",  -3, true );

    // Postfix / infix priorities
    iStat += EqnTest ( "~2#", 8, true );
    iStat += EqnTest ( "~f1of1(2)#", 8, true );
    iStat += EqnTest ( "~(b)#", 8, true );
    iStat += EqnTest ( "(~b)#", 12, true );
    iStat += EqnTest ( "~(2#)", 8, true );
    iStat += EqnTest ( "~(f1of1(2)#)", 8, true );
    //
    iStat += EqnTest ( "-2^2", -4, true );
    iStat += EqnTest ( "-(a+b)^2", -9, true );
    iStat += EqnTest ( "(-3)^2", 9, true );
    iStat += EqnTest ( "-(-2^2)", 4, true );
    iStat += EqnTest ( "3+-3^2", -6, true );
    // The following assumes use of sqr as postfix operator ("") together
    // with a sign operator of low priority:
    iStat += EqnTest ( "-2'", -4, true );
    iStat += EqnTest ( "-(1+1)'", -4, true );
    iStat += EqnTest ( "2+-(1+1)'", -2, true );
    iStat += EqnTest ( "2+-2'", -2, true );
    // This is the classic behaviour of the infix sign operator (here: "$") which is
    // now deprecated:
    iStat += EqnTest ( "$2^2", 4, true );
    iStat += EqnTest ( "$(a+b)^2", 9, true );
    iStat += EqnTest ( "($3)^2", 9, true );
    iStat += EqnTest ( "$($2^2)", -4, true );
    iStat += EqnTest ( "3+$3^2", 12, true );

    // infix operators sharing the first few characters
    iStat += EqnTest ( "~ 123",  123 + 2, true );
    iStat += EqnTest ( "~~ 123",  123 + 2, true );

    if ( iStat == 0 )
    {
        qWarning() << "TestInfixOprt passed";
    }
    else
    {
        qWarning() << "\n TestInfixOprt failed with " << iStat << " errors";
    }

    return iStat;
}


//---------------------------------------------------------------------------------------------------------------------
int QmuParserTester::TestPostFix()
{
    int iStat = 0;
    qWarning() << "testing postfix operators...";

    // application
    iStat += EqnTest ( "3{m}+5", 5.003, true );
    iStat += EqnTest ( "1000{m}", 1, true );
    iStat += EqnTest ( "1000 {m}", 1, true );
    iStat += EqnTest ( "(a){m}", 1e-3, true );
    iStat += EqnTest ( "a{m}", 1e-3, true );
    iStat += EqnTest ( "a {m}", 1e-3, true );
    iStat += EqnTest ( "-(a){m}", -1e-3, true );
    iStat += EqnTest ( "-2{m}", -2e-3, true );
    iStat += EqnTest ( "-2 {m}", -2e-3, true );
    iStat += EqnTest ( "f1of1(1000){m}", 1, true );
    iStat += EqnTest ( "-f1of1(1000){m}", -1, true );
    iStat += EqnTest ( "-f1of1(-1000){m}", 1, true );
    iStat += EqnTest ( "f4of4(0,0,0,1000){m}", 1, true );
    iStat += EqnTest ( "2+(a*1000){m}", 3, true );

    // can postfix operators "m" und "meg" be told apart properly?
    iStat += EqnTest ( "2*3000meg+2", 2 * 3e9 + 2, true );

    // some incorrect results
    iStat += EqnTest ( "1000{m}", 0.1, false );
    iStat += EqnTest ( "(a){m}", 2, false );
    // failure due to syntax checking
    iStat += ThrowTest ( "0x", ecUNASSIGNABLE_TOKEN ); // incomplete hex definition
    iStat += ThrowTest ( "3+", ecUNEXPECTED_EOF );
    iStat += ThrowTest ( "4 + {m}", ecUNASSIGNABLE_TOKEN );
    iStat += ThrowTest ( "{m}4", ecUNASSIGNABLE_TOKEN );
    iStat += ThrowTest ( "sin({m})", ecUNASSIGNABLE_TOKEN );
    iStat += ThrowTest ( "{m} {m}", ecUNASSIGNABLE_TOKEN );
    iStat += ThrowTest ( "{m}(8)", ecUNASSIGNABLE_TOKEN );
    iStat += ThrowTest ( "4,{m}", ecUNASSIGNABLE_TOKEN );
    iStat += ThrowTest ( "-{m}", ecUNASSIGNABLE_TOKEN );
    iStat += ThrowTest ( "2(-{m})", ecUNEXPECTED_PARENS );
    iStat += ThrowTest ( "2({m})", ecUNEXPECTED_PARENS );

    iStat += ThrowTest ( "multi*1.0", ecUNASSIGNABLE_TOKEN );

    if ( iStat == 0 )
    {
        qWarning() << "TestPostFix passed";
    }
    else
    {
        qWarning() << "\n TestPostFix failed with " << iStat << " errors";
    }

    return iStat;
}

//---------------------------------------------------------------------------------------------------------------------
int QmuParserTester::TestExpression()
{
    int iStat = 0;
    qWarning() << "testing expression samples...";

    qreal b = 2;

    // Optimization
    iStat += EqnTest ( "2*b*5", 20, true );
    iStat += EqnTest ( "2*b*5 + 4*b", 28, true );
    iStat += EqnTest ( "2*a/3", 2.0 / 3.0, true );

    // Addition auf cmVARMUL
    iStat += EqnTest ( "3+b", b + 3, true );
    iStat += EqnTest ( "b+3", b + 3, true );
    iStat += EqnTest ( "b*3+2", b * 3 + 2, true );
    iStat += EqnTest ( "3*b+2", b * 3 + 2, true );
    iStat += EqnTest ( "2+b*3", b * 3 + 2, true );
    iStat += EqnTest ( "2+3*b", b * 3 + 2, true );
    iStat += EqnTest ( "b+3*b", b + 3 * b, true );
    iStat += EqnTest ( "3*b+b", b + 3 * b, true );

    iStat += EqnTest ( "2+b*3+b", 2 + b * 3 + b, true );
    iStat += EqnTest ( "b+2+b*3", b + 2 + b * 3, true );

    iStat += EqnTest ( "(2*b+1)*4", ( 2 * b + 1 ) * 4, true );
    iStat += EqnTest ( "4*(2*b+1)", ( 2 * b + 1 ) * 4, true );
    // 2013-11-27 Issue 2:  https://code.google.com/p/muparser/issues/detail?id=2
    iStat += EqnTest ( "1+2+3", 6, true );

    // operator precedencs
    iStat += EqnTest ( "1+2-3*4/5^6", 2.99923, true );
    iStat += EqnTest ( "1^2/3*4-5+6", 2.33333333, true );
    iStat += EqnTest ( "1+2*3", 7, true );
    iStat += EqnTest ( "1+2*3", 7, true );
    iStat += EqnTest ( "(1+2)*3", 9, true );
    iStat += EqnTest ( "(1+2)*(-3)", -9, true );
    iStat += EqnTest ( "2/4", 0.5, true );

    iStat += EqnTest ( "exp(ln(7))", 7, true );
    iStat += EqnTest ( "e^ln(7)", 7, true );
    iStat += EqnTest ( "e^(ln(7))", 7, true );
    iStat += EqnTest ( "(e^(ln(7)))", 7, true );
    iStat += EqnTest ( "1-(e^(ln(7)))", -6, true );
    iStat += EqnTest ( "2*(e^(ln(7)))", 14, true );
    iStat += EqnTest ( "10^log(5)", 5, true );
    iStat += EqnTest ( "10^log10(5)", 5, true );
    iStat += EqnTest ( "2^log2(4)", 4, true );
    iStat += EqnTest ( "-(sin(0)+1)", -1, true );
    iStat += EqnTest ( "-(2^1.1)", -2.14354692, true );

    iStat += EqnTest ( "(cos(2.41)/b)", -0.372056, true );
    iStat += EqnTest ( "(1*(2*(3*(4*(5*(6*(a+b)))))))", 2160, true );
    iStat += EqnTest ( "(1*(2*(3*(4*(5*(6*(7*(a+b))))))))", 15120, true );
    iStat += EqnTest ( "(a/((((b+(((e*(((((pi*((((3.45*((pi+a)+pi))+b)+b)*a))+0.68)+e)+a)/a))+a)+b))+b)*a)-pi))",
                       0.00377999, true );

    // long formula (Reference: Matlab)
    iStat += EqnTest (
         "(((-9))-e/(((((((pi-(((-7)+(-3)/4/e))))/(((-5))-2)-((pi+(-0))*(sqrt((e+e))*(-8))*(((-pi)+(-pi)-(-9)*(6*5))"
         "/(-e)-e))/2)/((((sqrt(2/(-e)+6)-(4-2))+((5/(-2))/(1*(-pi)+3))/8)*pi*((pi/((-2)/(-6)*1*(-1))*(-6)+(-e)))))/"
         "((e+(-2)+(-e)*((((-3)*9+(-e)))+(-9)))))))-((((e-7+(((5/pi-(3/1+pi)))))/e)/(-5))/(sqrt((((((1+(-7))))+((((-"
         "e)*(-e)))-8))*(-5)/((-e)))*(-6)-((((((-2)-(-9)-(-e)-1)/3))))/(sqrt((8+(e-((-6))+(9*(-9))))*(((3+2-8))*(7+6"
         "+(-5))+((0/(-e)*(-pi))+7)))+(((((-e)/e/e)+((-6)*5)*e+(3+(-5)/pi))))+pi))/sqrt((((9))+((((pi))-8+2))+pi))/e"
         "*4)*((-5)/(((-pi))*(sqrt(e)))))-(((((((-e)*(e)-pi))/4+(pi)*(-9)))))))+(-pi)", -12.23016549, true );

    // long formula (Reference: Matlab)
    iStat += EqnTest (
         "(atan(sin((((((((((((((((pi/cos((a/((((0.53-b)-pi)*e)/b))))+2.51)+a)-0.54)/0.98)+b)*b)+e)/a)+b)+a)+b)+pi)/e"
         ")+a)))*2.77)", -2.16995656, true );

    // long formula (Reference: Matlab)
    iStat += EqnTest ( "1+2-3*4/5^6*(2*(1-5+(3*7^9)*(4+6*7-3)))+12", -7995810.09926, true );

    if ( iStat == 0 )
    {
        qWarning() << "TestExpression passed";
    }
    else
    {
        qWarning() << "\n TestExpression failed with " << iStat << " errors";
    }

    return iStat;
}

//---------------------------------------------------------------------------------------------------------------------
int QmuParserTester::TestIfThenElse()
{
    int iStat = 0;
    qWarning() << "testing if-then-else operator...";

    // Test error detection
    iStat += ThrowTest ( ":3", ecUNEXPECTED_CONDITIONAL );
    iStat += ThrowTest ( "? 1 : 2", ecUNEXPECTED_CONDITIONAL );
    iStat += ThrowTest ( "(a<b) ? (b<c) ? 1 : 2", ecMISSING_ELSE_CLAUSE );
    iStat += ThrowTest ( "(a<b) ? 1", ecMISSING_ELSE_CLAUSE );
    iStat += ThrowTest ( "(a<b) ? a", ecMISSING_ELSE_CLAUSE );
    iStat += ThrowTest ( "(a<b) ? a+b", ecMISSING_ELSE_CLAUSE );
    iStat += ThrowTest ( "a : b", ecMISPLACED_COLON );
    iStat += ThrowTest ( "1 : 2", ecMISPLACED_COLON );
    iStat += ThrowTest ( "(1) ? 1 : 2 : 3", ecMISPLACED_COLON );
    iStat += ThrowTest ( "(true) ? 1 : 2 : 3", ecUNASSIGNABLE_TOKEN );

    iStat += EqnTest ( "1 ? 128 : 255", 128, true );
    iStat += EqnTest ( "1<2 ? 128 : 255", 128, true );
    iStat += EqnTest ( "a<b ? 128 : 255", 128, true );
    iStat += EqnTest ( "(a<b) ? 128 : 255", 128, true );
    iStat += EqnTest ( "(1) ? 10 : 11", 10, true );
    iStat += EqnTest ( "(0) ? 10 : 11", 11, true );
    iStat += EqnTest ( "(1) ? a+b : c+d", 3, true );
    iStat += EqnTest ( "(0) ? a+b : c+d", 1, true );
    iStat += EqnTest ( "(1) ? 0 : 1", 0, true );
    iStat += EqnTest ( "(0) ? 0 : 1", 1, true );
    iStat += EqnTest ( "(a<b) ? 10 : 11", 10, true );
    iStat += EqnTest ( "(a>b) ? 10 : 11", 11, true );
    iStat += EqnTest ( "(a<b) ? c : d", 3, true );
    iStat += EqnTest ( "(a>b) ? c : d", -2, true );

    iStat += EqnTest ( "(a>b) ? 1 : 0", 0, true );
    iStat += EqnTest ( "((a>b) ? 1 : 0) ? 1 : 2", 2, true );
    iStat += EqnTest ( "((a>b) ? 1 : 0) ? 1 : sum((a>b) ? 1 : 2)", 2, true );
    iStat += EqnTest ( "((a>b) ? 0 : 1) ? 1 : sum((a>b) ? 1 : 2)", 1, true );

    iStat += EqnTest ( "sum((a>b) ? 1 : 2)", 2, true );
    iStat += EqnTest ( "sum((1) ? 1 : 2)", 1, true );
    iStat += EqnTest ( "sum((a>b) ? 1 : 2, 100)", 102, true );
    iStat += EqnTest ( "sum((1) ? 1 : 2, 100)", 101, true );
    iStat += EqnTest ( "sum(3, (a>b) ? 3 : 10)", 13, true );
    iStat += EqnTest ( "sum(3, (a<b) ? 3 : 10)", 6, true );
    iStat += EqnTest ( "10*sum(3, (a>b) ? 3 : 10)", 130, true );
    iStat += EqnTest ( "10*sum(3, (a<b) ? 3 : 10)", 60, true );
    iStat += EqnTest ( "sum(3, (a>b) ? 3 : 10)*10", 130, true );
    iStat += EqnTest ( "sum(3, (a<b) ? 3 : 10)*10", 60, true );
    iStat += EqnTest ( "(a<b) ? sum(3, (a<b) ? 3 : 10)*10 : 99", 60, true );
    iStat += EqnTest ( "(a>b) ? sum(3, (a<b) ? 3 : 10)*10 : 99", 99, true );
    iStat += EqnTest ( "(a<b) ? sum(3, (a<b) ? 3 : 10,10,20)*10 : 99", 360, true );
    iStat += EqnTest ( "(a>b) ? sum(3, (a<b) ? 3 : 10,10,20)*10 : 99", 99, true );
    iStat += EqnTest ( "(a>b) ? sum(3, (a<b) ? 3 : 10,10,20)*10 : sum(3, (a<b) ? 3 : 10)*10", 60, true );

    // todo: auch fr muParserX hinzufgen!
    iStat += EqnTest ( "(a<b)&&(a<b) ? 128 : 255", 128, true );
    iStat += EqnTest ( "(a>b)&&(a<b) ? 128 : 255", 255, true );
    iStat += EqnTest ( "(1<2)&&(1<2) ? 128 : 255", 128, true );
    iStat += EqnTest ( "(1>2)&&(1<2) ? 128 : 255", 255, true );
    iStat += EqnTest ( "((1<2)&&(1<2)) ? 128 : 255", 128, true );
    iStat += EqnTest ( "((1>2)&&(1<2)) ? 128 : 255", 255, true );
    iStat += EqnTest ( "((a<b)&&(a<b)) ? 128 : 255", 128, true );
    iStat += EqnTest ( "((a>b)&&(a<b)) ? 128 : 255", 255, true );

    iStat += EqnTest ( "1>0 ? 1>2 ? 128 : 255 : 1>0 ? 32 : 64", 255, true );
    iStat += EqnTest ( "1>0 ? 1>2 ? 128 : 255 :(1>0 ? 32 : 64)", 255, true );
    iStat += EqnTest ( "1>0 ? 1>0 ? 128 : 255 : 1>2 ? 32 : 64", 128, true );
    iStat += EqnTest ( "1>0 ? 1>0 ? 128 : 255 :(1>2 ? 32 : 64)", 128, true );
    iStat += EqnTest ( "1>2 ? 1>2 ? 128 : 255 : 1>0 ? 32 : 64", 32, true );
    iStat += EqnTest ( "1>2 ? 1>0 ? 128 : 255 : 1>2 ? 32 : 64", 64, true );
    iStat += EqnTest ( "1>0 ? 50 :  1>0 ? 128 : 255", 50, true );
    iStat += EqnTest ( "1>0 ? 50 : (1>0 ? 128 : 255)", 50, true );
    iStat += EqnTest ( "1>0 ? 1>0 ? 128 : 255 : 50", 128, true );
    iStat += EqnTest ( "1>2 ? 1>2 ? 128 : 255 : 1>0 ? 32 : 1>2 ? 64 : 16", 32, true );
    iStat += EqnTest ( "1>2 ? 1>2 ? 128 : 255 : 1>0 ? 32 :(1>2 ? 64 : 16)", 32, true );
    iStat += EqnTest ( "1>0 ? 1>2 ? 128 : 255 :  1>0 ? 32 :1>2 ? 64 : 16", 255, true );
    iStat += EqnTest ( "1>0 ? 1>2 ? 128 : 255 : (1>0 ? 32 :1>2 ? 64 : 16)", 255, true );
    iStat += EqnTest ( "1 ? 0 ? 128 : 255 : 1 ? 32 : 64", 255, true );

    // assignment operators
    iStat += EqnTest ( "a= 0 ? 128 : 255, a", 255, true );
    iStat += EqnTest ( "a=((a>b)&&(a<b)) ? 128 : 255, a", 255, true );
    iStat += EqnTest ( "c=(a<b)&&(a<b) ? 128 : 255, c", 128, true );
    iStat += EqnTest ( "0 ? a=a+1 : 666, a", 1, true );
    iStat += EqnTest ( "1?a=10:a=20, a", 10, true );
    iStat += EqnTest ( "0?a=10:a=20, a", 20, true );
    iStat += EqnTest ( "0?a=sum(3,4):10, a", 1, true ); // a should not change its value due to lazy calculation

    iStat += EqnTest ( "a=1?b=1?3:4:5, a", 3, true );
    iStat += EqnTest ( "a=1?b=1?3:4:5, b", 3, true );
    iStat += EqnTest ( "a=0?b=1?3:4:5, a", 5, true );
    iStat += EqnTest ( "a=0?b=1?3:4:5, b", 2, true );

    iStat += EqnTest ( "a=1?5:b=1?3:4, a", 5, true );
    iStat += EqnTest ( "a=1?5:b=1?3:4, b", 2, true );
    iStat += EqnTest ( "a=0?5:b=1?3:4, a", 3, true );
    iStat += EqnTest ( "a=0?5:b=1?3:4, b", 3, true );

    if ( iStat == 0 )
    {
        qWarning() << "TestIfThenElse passed";
    }
    else
    {
        qWarning() << "\n TestIfThenElse failed with " << iStat << " errors";
    }

    return iStat;
}

//---------------------------------------------------------------------------------------------------------------------
int QmuParserTester::TestException()
{
    int  iStat = 0;
    qWarning() << "testing error codes...";

    iStat += ThrowTest ( "3+",           ecUNEXPECTED_EOF );
    iStat += ThrowTest ( "3+)",          ecUNEXPECTED_PARENS );
    iStat += ThrowTest ( "()",           ecUNEXPECTED_PARENS );
    iStat += ThrowTest ( "3+()",         ecUNEXPECTED_PARENS );
    iStat += ThrowTest ( "sin(3,4)",     ecTOO_MANY_PARAMS );
    iStat += ThrowTest ( "sin()",        ecTOO_FEW_PARAMS );
    iStat += ThrowTest ( "(1+2",         ecMISSING_PARENS );
    iStat += ThrowTest ( "sin(3)3",      ecUNEXPECTED_VAL );
    iStat += ThrowTest ( "sin(3)xyz",    ecUNASSIGNABLE_TOKEN );
    iStat += ThrowTest ( "sin(3)cos(3)", ecUNEXPECTED_FUN );
    iStat += ThrowTest ( "a+b+c=10",     ecUNEXPECTED_OPERATOR );
    iStat += ThrowTest ( "a=b=3",        ecUNEXPECTED_OPERATOR );

#if defined(MUP_MATH_EXCEPTIONS)
    // divide by zero whilst constant folding
    iStat += ThrowTest ( "1/0",          ecDIV_BY_ZERO );
    // square root of a negative number
    iStat += ThrowTest ( "sqrt(-1)",     ecDOMAIN_ERROR );
    // logarithms of zero
    iStat += ThrowTest ( "ln(0)",        ecDOMAIN_ERROR );
    iStat += ThrowTest ( "log2(0)",      ecDOMAIN_ERROR );
    iStat += ThrowTest ( "log10(0)",     ecDOMAIN_ERROR );
    iStat += ThrowTest ( "log(0)",       ecDOMAIN_ERROR );
    // logarithms of negative values
    iStat += ThrowTest ( "ln(-1)",       ecDOMAIN_ERROR );
    iStat += ThrowTest ( "log2(-1)",     ecDOMAIN_ERROR );
    iStat += ThrowTest ( "log10(-1)",    ecDOMAIN_ERROR );
    iStat += ThrowTest ( "log(-1)",      ecDOMAIN_ERROR );
#endif

    // functions without parameter
    iStat += ThrowTest ( "3+ping(2)",    ecTOO_MANY_PARAMS );
    iStat += ThrowTest ( "3+ping(a+2)",  ecTOO_MANY_PARAMS );
    iStat += ThrowTest ( "3+ping(sin(a)+2)",  ecTOO_MANY_PARAMS );
    iStat += ThrowTest ( "3+ping(1+sin(a))",  ecTOO_MANY_PARAMS );

    // String function related
    iStat += ThrowTest ( "valueof(\"xxx\")",  999, false );
    iStat += ThrowTest ( "valueof()",          ecUNEXPECTED_PARENS );
    iStat += ThrowTest ( "1+valueof(\"abc\"",  ecMISSING_PARENS );
    iStat += ThrowTest ( "valueof(\"abc\"",    ecMISSING_PARENS );
    iStat += ThrowTest ( "valueof(\"abc",      ecUNTERMINATED_STRING );
    iStat += ThrowTest ( "valueof(\"abc\",3)", ecTOO_MANY_PARAMS );
    iStat += ThrowTest ( "valueof(3)",         ecSTRING_EXPECTED );
    iStat += ThrowTest ( "sin(\"abc\")",       ecVAL_EXPECTED );
    iStat += ThrowTest ( "valueof(\"\\\"abc\\\"\")",  999, false );
    iStat += ThrowTest ( "\"hello world\"",    ecSTR_RESULT );
    iStat += ThrowTest ( "(\"hello world\")",  ecSTR_RESULT );
    iStat += ThrowTest ( "\"abcd\"+100",       ecOPRT_TYPE_CONFLICT );
    iStat += ThrowTest ( "\"a\"+\"b\"",        ecOPRT_TYPE_CONFLICT );
    iStat += ThrowTest ( "strfun1(\"100\",3)",     ecTOO_MANY_PARAMS );
    iStat += ThrowTest ( "strfun2(\"100\",3,5)",   ecTOO_MANY_PARAMS );
    iStat += ThrowTest ( "strfun3(\"100\",3,5,6)", ecTOO_MANY_PARAMS );
    iStat += ThrowTest ( "strfun2(\"100\")",       ecTOO_FEW_PARAMS );
    iStat += ThrowTest ( "strfun3(\"100\",6)",   ecTOO_FEW_PARAMS );
    iStat += ThrowTest ( "strfun2(1,1)",         ecSTRING_EXPECTED );
    iStat += ThrowTest ( "strfun2(a,1)",         ecSTRING_EXPECTED );
    iStat += ThrowTest ( "strfun2(1,1,1)",       ecTOO_MANY_PARAMS );
    iStat += ThrowTest ( "strfun2(a,1,1)",       ecTOO_MANY_PARAMS );
    iStat += ThrowTest ( "strfun3(1,2,3)",         ecSTRING_EXPECTED );
    iStat += ThrowTest ( "strfun3(1, \"100\",3)",  ecSTRING_EXPECTED );
    iStat += ThrowTest ( "strfun3(\"1\", \"100\",3)",  ecVAL_EXPECTED );
    iStat += ThrowTest ( "strfun3(\"1\", 3, \"100\")",  ecVAL_EXPECTED );
    iStat += ThrowTest ( "strfun3(\"1\", \"100\", \"100\", \"100\")",  ecTOO_MANY_PARAMS );

    // assignement operator
    iStat += ThrowTest ( "3=4", ecUNEXPECTED_OPERATOR );
    iStat += ThrowTest ( "sin(8)=4", ecUNEXPECTED_OPERATOR );
    iStat += ThrowTest ( "\"test\"=a", ecUNEXPECTED_OPERATOR );

    // <ibg 20090529>
    // this is now legal, for reference see:
    // https://sourceforge.net/forum/message.php?msg_id=7411373
    //      iStat += ThrowTest( "sin=9"), ecUNEXPECTED_OPERATOR);
    // </ibg>

    iStat += ThrowTest ( "(8)=5", ecUNEXPECTED_OPERATOR );
    iStat += ThrowTest ( "(a)=5", ecUNEXPECTED_OPERATOR );
    iStat += ThrowTest ( "a=\"tttt\"", ecOPRT_TYPE_CONFLICT );

    if ( iStat == 0 )
    {
        qWarning() << "TestException passed";
    }
    else
    {
        qWarning() << "\n TestException failed with " << iStat << " errors";
    }

    return iStat;
}


//---------------------------------------------------------------------------------------------------------------------
void QmuParserTester::AddTest ( testfun_type a_pFun )
{
    m_vTestFun.push_back ( a_pFun );
}

//---------------------------------------------------------------------------------------------------------------------
// cppcheck-suppress unusedFunction
void QmuParserTester::Run()
{
    qWarning() << "-----------------------------------------------------------";
    qWarning() << "Running test suite:\n";

    int iStat = 0;
    try
    {
        for ( int i = 0; i < m_vTestFun.size(); ++i )
        {
            iStat += ( this->*m_vTestFun[i] ) ();
        }
    }
    catch ( QmuParserError &e )
    {
        qWarning() << "\n" << e.GetMsg();
        qWarning() << e.GetToken();
        Abort();
        return;
    }
    catch ( std::exception &e )
    {
        qWarning() << e.what();
        Abort();
        return;
    }
    catch ( ... )
    {
        qWarning() << "Internal error";
        Abort();
        return;
    }

    if ( iStat == 0 )
    {
        qWarning() << "Test passed (" <<  QmuParserTester::c_iCount << " expressions)";
    }
    else
    {
        qWarning() << "Test failed with " << iStat
                 << " errors (" <<  QmuParserTester::c_iCount
                 << " expressions)";
    }
    QCoreApplication::exit(iStat);
    QmuParserTester::c_iCount = 0;

    qWarning() << "Done.";
    qWarning() << "-----------------------------------------------------------";
}


//---------------------------------------------------------------------------------------------------------------------
int QmuParserTester::ThrowTest ( const QString &a_str, int a_iErrc, bool a_bFail )
{
    QmuParserTester::c_iCount++;

    try
    {
        qreal fVal[] = {1, 1, 1};
        QmuParser p;

        p.DefineVar ( "a", &fVal[0] );
        p.DefineVar ( "b", &fVal[1] );
        p.DefineVar ( "c", &fVal[2] );
        p.DefinePostfixOprt ( "{m}", Milli );
        p.DefinePostfixOprt ( "m", Milli );
        p.DefineFun ( "ping", Ping );
        p.DefineFun ( "valueof", ValueOf );
        p.DefineFun ( "strfun1", StrFun1 );
        p.DefineFun ( "strfun2", StrFun2 );
        p.DefineFun ( "strfun3", StrFun3 );
        p.SetExpr ( a_str );
        p.Eval();
    }
    catch ( const qmu::QmuParserError &e )
    {
        // output the formula in case of an failed test
        if ( a_bFail == false || ( a_bFail == true && a_iErrc != e.GetCode() ) )
        {
            qWarning() << "\n  " << "Expression: " << a_str << "  Code:" << e.GetCode() << "(" << e.GetMsg() << ")"
                     << "  Expected:" << a_iErrc;
        }

        return ( a_iErrc == e.GetCode() ) ? 0 : 1;
    }

    // if a_bFail==false no exception is expected
    bool bRet ( ( a_bFail == false ) ? 0 : 1 );
    if ( bRet == 1 )
    {
        qWarning() << "\n  "
                 << "Expression: " << a_str
                 << "  did evaluate; Expected error:" << a_iErrc;
    }

    return bRet;
}

//---------------------------------------------------------------------------------------------------------------------
/**
 * @brief Evaluate a tet expression.
 *
 * @return 1 in case of a failure, 0 otherwise.
 */
int QmuParserTester::EqnTestWithVarChange ( const QString &a_str, double a_fVar1, double a_fRes1, double a_fVar2,
                                            double a_fRes2 )
{
    QmuParserTester::c_iCount++;
    qreal fVal[2] = { -999, -999 }; // should be equalinitially

    try
    {
        QmuParser  p;

        // variable
        qreal var = 0;
        p.DefineVar ( "a", &var );
        p.SetExpr ( a_str );

        var = a_fVar1;
        fVal[0] = p.Eval();

        // cppcheck-suppress redundantAssignment
        var = a_fVar2; //-V519
        fVal[1] = p.Eval();

        if ( fabs ( a_fRes1 - fVal[0] ) > 0.0000000001 )
        {
            throw std::runtime_error ( "incorrect result (first pass)" );
        }

        if ( fabs ( a_fRes2 - fVal[1] ) > 0.0000000001 )
        {
            throw std::runtime_error ( "incorrect result (second pass)" );
        }
    }
    catch ( QmuParserError &e )
    {
        qWarning() << "\n  fail: " << a_str << " (" << e.GetMsg() << ")";
        return 1;
    }
    catch ( std::exception &e )
    {
        qWarning() << "\n  fail: " << a_str << " (" << e.what() << ")";
        return 1;  // always return a failure since this exception is not expected
    }
    catch ( ... )
    {
        qWarning() << "\n  fail: " << a_str <<  " (unexpected exception)";
        return 1;  // exceptions other than ParserException are not allowed
    }

    return 0;
}

//---------------------------------------------------------------------------------------------------------------------
/**
 * @brief Evaluate a tet expression.
 *
 * @return 1 in case of a failure, 0 otherwise.
 */
int QmuParserTester::EqnTest ( const QString &a_str, double a_fRes, bool a_fPass )
{
    QmuParserTester::c_iCount++;
    // cppcheck-suppress variableScope
    int iRet ( 0 );
    qreal fVal[5] = { -999, -998, -997, -996, -995}; // initially should be different

    try
    {
        std::unique_ptr<QmuParser> p1;
        QmuParser  p2, p3;   // three parser objects
        // they will be used for testing copy and assihnment operators
        // p1 is a pointer since i'm going to delete it in order to test if
        // parsers after copy construction still refer to members of it.
        // !! If this is the case this function will crash !!

        p1.reset ( new qmu::QmuParser() );
        // Add constants
        p1->DefineConst ( "pi", static_cast<qreal>(M_PI) );
        p1->DefineConst ( "e", static_cast<qreal>(M_E) );
        p1->DefineConst ( "const", 1 );
        p1->DefineConst ( "const1", 2 );
        p1->DefineConst ( "const2", 3 );
        // variables
        qreal vVarVal[] = { 1, 2, 3, -2};
        p1->DefineVar ( "a", &vVarVal[0] );
        p1->DefineVar ( "aa", &vVarVal[1] );
        p1->DefineVar ( "b", &vVarVal[1] );
        p1->DefineVar ( "c", &vVarVal[2] );
        p1->DefineVar ( "d", &vVarVal[3] );

        // custom value ident functions
        p1->AddValIdent ( &QmuParserTester::IsHexVal );

        // functions
        p1->DefineFun ( "ping", Ping );
        p1->DefineFun ( "f1of1", f1of1 ); // one parameter
        p1->DefineFun ( "f1of2", f1of2 ); // two parameter
        p1->DefineFun ( "f2of2", f2of2 );
        p1->DefineFun ( "f1of3", f1of3 ); // three parameter
        p1->DefineFun ( "f2of3", f2of3 );
        p1->DefineFun ( "f3of3", f3of3 );
        p1->DefineFun ( "f1of4", f1of4 ); // four parameter
        p1->DefineFun ( "f2of4", f2of4 );
        p1->DefineFun ( "f3of4", f3of4 );
        p1->DefineFun ( "f4of4", f4of4 );
        p1->DefineFun ( "f1of5", f1of5 ); // five parameter
        p1->DefineFun ( "f2of5", f2of5 );
        p1->DefineFun ( "f3of5", f3of5 );
        p1->DefineFun ( "f4of5", f4of5 );
        p1->DefineFun ( "f5of5", f5of5 );

        // binary operators
        p1->DefineOprt ( "add", add, 0 );
        p1->DefineOprt ( "++", add, 0 );
        p1->DefineOprt ( "&", land, prLAND );

        // sample functions
        p1->DefineFun ( "min", Min );
        p1->DefineFun ( "max", Max );
        p1->DefineFun ( "sum", Sum );
        p1->DefineFun ( "valueof", ValueOf );
        p1->DefineFun ( "atof", StrToFloat );
        p1->DefineFun ( "strfun1", StrFun1 );
        p1->DefineFun ( "strfun2", StrFun2 );
        p1->DefineFun ( "strfun3", StrFun3 );
        p1->DefineFun ( "lastArg", LastArg );
        p1->DefineFun ( "firstArg", FirstArg );
        p1->DefineFun ( "order", FirstArg );

        // infix / postfix operator
        // Note: Identifiers used here do not have any meaning
        //       they are mere placeholders to test certain features.
        p1->DefineInfixOprt ( "$", sign, prPOW + 1 ); // sign with high priority
        p1->DefineInfixOprt ( "~", plus2 );        // high priority
        p1->DefineInfixOprt ( "~~", plus2 );
        p1->DefinePostfixOprt ( "{m}", Milli );
        p1->DefinePostfixOprt ( "{M}", Mega );
        p1->DefinePostfixOprt ( "m", Milli );
        p1->DefinePostfixOprt ( "meg", Mega );
        p1->DefinePostfixOprt ( "#", times3 );
        p1->DefinePostfixOprt ( "'", sqr );
        p1->SetExpr ( a_str );

        // Test bytecode integrity
        // String parsing and bytecode parsing must yield the same result
        fVal[0] = p1->Eval(); // result from stringparsing
        fVal[1] = p1->Eval(); // result from bytecode
        if ( not QmuFuzzyComparePossibleNulls( fVal[0], fVal[1] ) )
        {
            throw QmuParserError ( "Bytecode / string parsing mismatch." );
        }

        // Test copy and assignement operators
        try
        {
            // Test copy constructor
            QVector<qmu::QmuParser> vParser;
            vParser.push_back ( * ( p1.get() ) );
            qmu::QmuParser p2 = vParser[0];   // take parser from vector

            // destroy the originals from p2
            vParser.clear();              // delete the vector
            p1.reset ( 0 );

            fVal[2] = p2.Eval();

            // Test assignement operator
            // additionally  disable Optimizer this time
            qmu::QmuParser p3;
            p3 = p2;
            p3.EnableOptimizer ( false );
            fVal[3] = p3.Eval();

            // Test Eval function for multiple return values
            // use p2 since it has the optimizer enabled!
            int nNum;
            qreal *v = p2.Eval ( nNum );
            fVal[4] = v[nNum - 1];
        }
        catch ( std::exception &e )
        {
            qWarning() << "\n  " << e.what() << "\n";
        }

        // limited floating point accuracy requires the following test
        bool bCloseEnough ( true );
        for ( unsigned i = 0; i < sizeof ( fVal ) / sizeof ( qreal ); ++i )
        {
            bCloseEnough &= ( fabs ( a_fRes - fVal[i] ) <= fabs ( fVal[i] * 0.00001 ) );

            // The tests equations never result in infinity, if they do thats a bug.
            // reference:
            // http://sourceforge.net/projects/muparser/forums/forum/462843/topic/5037825
QT_WARNING_PUSH
QT_WARNING_DISABLE_MSVC(4127)
            if (std::numeric_limits<qreal>::has_infinity)
QT_WARNING_POP
            {
                bCloseEnough &= (not QmuFuzzyComparePossibleNulls( fabs ( fVal[i] ),
                                                                   std::numeric_limits<qreal>::infinity()) );
            }
        }

        iRet = ( ( bCloseEnough && a_fPass ) || ( bCloseEnough == false && a_fPass == false) ) ? 0 : 1;


        if ( iRet == 1 )
        {
            qWarning() << "\n  fail: " << a_str
                     << " (incorrect result; expected: " << a_fRes
                     << " ;calculated: " << fVal[0] << ","
                     << fVal[1] << ","
                     << fVal[2] << ","
                     << fVal[3] << ","
                     << fVal[4] << ").";
        }
    }
    catch ( QmuParserError &e )
    {
        if ( a_fPass )
        {
            if ( not QmuFuzzyComparePossibleNulls(fVal[0], fVal[2]) &&
                 not QmuFuzzyComparePossibleNulls(fVal[0], -999) &&
                 not QmuFuzzyComparePossibleNulls(fVal[1], -998 ))
            {
                qWarning() << "\n  fail: " << a_str << " (copy construction)";
            }
            else
            {
                qWarning() << "\n  fail: " << a_str << " (" << e.GetMsg() << ")";
            }
            return 1;
        }
    }
    catch ( std::exception &e )
    {
        qWarning() << "\n  fail: " << a_str << " (" << e.what() << ")";
        return 1;  // always return a failure since this exception is not expected
    }
    catch ( ... )
    {
        qWarning() << "\n  fail: " << a_str <<  " (unexpected exception)";
        return 1;  // exceptions other than ParserException are not allowed
    }

    return iRet;
}

//---------------------------------------------------------------------------------------------------------------------
/** \brief Test an expression in Bulk Mode. */
int QmuParserTester::EqnTestBulk(const QString &a_str, double a_fRes[4], bool a_fPass)
{
    QmuParserTester::c_iCount++;
    int iRet(0);

    try
    {
        // Define Bulk Variables
        int nBulkSize = 4;
        double vVariableA[] = { 1, 2, 3, 4 };   // variable values
        double vVariableB[] = { 2, 2, 2, 2 };   // variable values
        double vVariableC[] = { 3, 3, 3, 3 };   // variable values
        double vResults[] = { 0, 0, 0, 0 };   // variable values

        QmuParser p;
        p.DefineConst("const1", 1);
        p.DefineConst("const2", 2);
        p.DefineVar("a", vVariableA);
        p.DefineVar("b", vVariableB);
        p.DefineVar("c", vVariableC);

        p.SetExpr(a_str);
        p.Eval(vResults, nBulkSize);

        bool bCloseEnough(true);
        for (int i = 0; i < nBulkSize; ++i)
        {
            bCloseEnough &= (fabs(a_fRes[i] - vResults[i]) <= fabs(a_fRes[i] * 0.00001));
        }

        iRet = ((bCloseEnough && a_fPass) || (!bCloseEnough && !a_fPass)) ? 0 : 1;
        if (iRet == 1)
        {
            qWarning() << "\n  fail: " << a_str << " (incorrect result; expected: {" << a_fRes[0] << ","
                       << a_fRes[1] << "," << a_fRes[2] << "," << a_fRes[3] << "}" << " ;calculated: " << vResults[0]
                       << "," << vResults[1] << "," << vResults[2] << "," << vResults[3] << "}";
        }
    }
    catch (QmuParserError &e)
    {
        if (a_fPass)
        {
            qWarning() << "\n  fail: " << e.GetExpr() << " : " << e.GetMsg();
            iRet = 1;
        }
    }
    catch (...)
    {
        qWarning() << "\n  fail: " << a_str << " (unexpected exception)";
        iRet = 1;  // exceptions other than ParserException are not allowed
    }

    return iRet;
}

//---------------------------------------------------------------------------------------------------------------------
/**
 * @brief Internal error in test class Test is going to be aborted.
 */
void QmuParserTester::Abort()
{
    qWarning() << "Test failed (internal error in test class)";
    while ( getchar() == false);
    QCoreApplication::exit ( -1 );
}
} // namespace test
} // namespace qmu