Resolves: tdf#138220 tdf#154792 Avoid double rounding; tdf#124286 follow-up

Change-Id: Ie4028b20f2d3087a54bbfafd35d59fa06ec7a061
Reviewed-on: https://gerrit.libreoffice.org/c/core/+/150439
Reviewed-by: Eike Rathke <erack@redhat.com>
Tested-by: Jenkins
diff --git a/sc/source/core/tool/interpr2.cxx b/sc/source/core/tool/interpr2.cxx
index 58b3008..cf4dde0 100644
--- a/sc/source/core/tool/interpr2.cxx
+++ b/sc/source/core/tool/interpr2.cxx
@@ -963,20 +963,55 @@ void ScInterpreter::RoundNumber( rtl_math_RoundingMode eMode )
        fVal = ::rtl::math::round( GetDouble(), 0, eMode );
    else
    {
        sal_Int16 nDec = GetInt16();
        double fX = GetDouble();
        const sal_Int16 nDec = GetInt16();
        const double fX = GetDouble();
        if (nGlobalError == FormulaError::NONE)
        {
            // A quite aggressive approach with 12 significant digits.
            // However, using 14 or some other doesn't work because other
            // values may fail, like =ROUNDDOWN(2-5E-015;13) would produce
            // 2 (another example in tdf#124286).
            constexpr sal_Int16 kSigDig = 12;

            if ( ( eMode == rtl_math_RoundingMode_Down ||
                   eMode == rtl_math_RoundingMode_Up ) &&
                 nDec < 12 && fmod( fX, 1.0 ) != 0.0 )
                 nDec < kSigDig && fmod( fX, 1.0 ) != 0.0 )

            {
                // tdf124286 : round to 12 significant digits before rounding
                // tdf124286 : round to significant digits before rounding
                //             down or up to avoid unexpected rounding errors
                //             caused by decimal -> binary -> decimal conversion
                double fRes;
                RoundSignificant( fX, 12, fRes );
                fVal = ::rtl::math::round( fRes, nDec, eMode );

                double fRes = fX;
                // Similar to RoundSignificant() but omitting the back-scaling
                // and interim integer rounding before the final rounding,
                // which would result in double rounding. Instead, adjust the
                // decimals and round into integer part before scaling back.
                const double fTemp = floor( log10( std::abs(fRes))) + 1.0 - kSigDig;
                // Avoid inaccuracy of negative powers of 10.
                if (fTemp < 0.0)
                    fRes *= pow(10.0, -fTemp);
                else
                    fRes /= pow(10.0, fTemp);
                if (std::isfinite(fRes))
                {
                    // fRes is now at a decimal normalized scale.
                    // Truncate up-rounding to opposite direction for values
                    // like 0.0600000000000005 =ROUNDUP(8.06-8;2) that here now
                    // is 600000000000.005 and otherwise would yield 0.07
                    if (eMode == rtl_math_RoundingMode_Up)
                        fRes = ::rtl::math::approxFloor(fRes);
                    fVal = ::rtl::math::round( fRes, nDec + fTemp, eMode );
                    if (fTemp < 0.0)
                        fVal /= pow(10.0, -fTemp);
                    else
                        fVal *= pow(10.0, fTemp);
                }
                else
                {
                    // Overflow. Let our round() decide if and how to round.
                    fVal = ::rtl::math::round( fX, nDec, eMode );
                }
            }
            else
                fVal = ::rtl::math::round( fX, nDec, eMode );