tdf#143877 Fix failing tests caused by floating point precision

Due to different imlementation of floating-point unit (FPU),
on different CPU platforms, the floating point numbers could
could be different.
https://stackoverflow.com/questions/64036879/differing-floating-point-calculation-results-between-x86-64-and-armv8-2-a
https://mcuoneclipse.com/2019/03/29/be-aware-floating-point-operations-on-arm-cortex-m4f/

With this path I have changed the tested images,
to use floating point numbers which are easily represented
by floating numbers (multiplied/divided by 2), like:
- change tension to values: 0.125, 0.25, 0.5, 1.0, 1.5 ...
- change position of curve to of control points to 256.0, 384.0 512.0

Previous values was hard to represent by floating numbers,
for example tension:
- 0.4 has been written as 0.399999976158142
- 0.1 has been written as 0.099999994039535

More information:
https://observablehq.com/@benaubin/floating-point

Additionally the precision of numbers were
increased to double.

Change-Id: I5725c1f2f474d0c00821edaa9bb2102cb172093f
Reviewed-on: https://gerrit.libreoffice.org/c/core/+/152838
Reviewed-by: Stephan Bergmann <sbergman@redhat.com>
Tested-by: Bartosz Kosiorek <gang65@poczta.onet.pl>

5 files changed, 143 insertions, 162 deletions

diff --git a/drawinglayer/source/tools/emfppath.cxx b/drawinglayer/source/tools/emfppath.cxx
index bd5b2d357b0f..e7c4a5512c76 100644
--- a/drawinglayer/source/tools/emfppath.cxx
+++ b/drawinglayer/source/tools/emfppath.cxx
@@ -34,7 +34,12 @@ namespace
 
 namespace emfplushelper
 {
-    typedef float matrix [4][4];
+    typedef double matrix [4][4];
+
+    constexpr sal_uInt32 nDetails = 8;
+    constexpr double alpha[nDetails]
+        = { 1. / nDetails, 2. / nDetails, 3. / nDetails, 4. / nDetails,
+            5. / nDetails, 6. / nDetails, 7. / nDetails, 8. / nDetails };
 
     // see 2.2.2.21 EmfPlusInteger7
     //     2.2.2.22 EmfPlusInteger15
@@ -232,21 +237,20 @@ namespace emfplushelper
         m[0][2] = tension - 2.;
         m[1][0] = 2. * tension;
         m[1][1] = tension - 3.;
-        m[1][2] = 3. - 2 * tension;
+        m[1][2] = 3. - 2. * tension;
         m[3][1] = 1.;
         m[0][3] = m[2][2] = tension;
         m[0][0] = m[1][3] = m[2][0] = -tension;
         m[2][1] = m[2][3] = m[3][0] = m[3][2] = m[3][3] = 0.;
     }
 
-    static float calculateSplineCoefficients(float p0, float p1, float p2, float p3, float alpha, matrix m)
+    static double calculateSplineCoefficients(float p0, float p1, float p2, float p3, sal_uInt32 step, matrix m)
     {
-        float a, b, c, d;
-        a = m[0][0] * p0 + m[0][1] * p1 + m[0][2] * p2 + m[0][3] * p3;
-        b = m[1][0] * p0 + m[1][1] * p1 + m[1][2] * p2 + m[1][3] * p3;
-        c = m[2][0] * p0 + m[2][2] * p2;
-        d = p1;
-        return (d + alpha * (c + alpha * (b + alpha * a)));
+        double a = m[0][0] * p0 + m[0][1] * p1 + m[0][2] * p2 + m[0][3] * p3;
+        double b = m[1][0] * p0 + m[1][1] * p1 + m[1][2] * p2 + m[1][3] * p3;
+        double c = m[2][0] * p0 + m[2][2] * p2;
+        double d = p1;
+        return (d + alpha[step] * (c + alpha[step] * (b + alpha[step] * a)));
     }
 
     ::basegfx::B2DPolyPolygon& EMFPPath::GetCardinalSpline(EmfPlusHelperData const& rR, float fTension,
@@ -254,11 +258,7 @@ namespace emfplushelper
     {
         ::basegfx::B2DPolygon polygon;
         matrix mat;
-        float x, y;
-        constexpr sal_uInt32 nDetails = 8;
-        constexpr float alpha[nDetails]
-            = { 1. / nDetails, 2. / nDetails, 3. / nDetails, 4. / nDetails,
-                5. / nDetails, 6. / nDetails, 7. / nDetails, 8. / nDetails };
+        double x, y;
         if (aNumSegments >= nPoints)
             aNumSegments = nPoints - 1;
         GetCardinalMatrix(fTension, mat);
@@ -274,9 +274,9 @@ namespace emfplushelper
             for (sal_uInt32 s = 0; s < nDetails; s++)
             {
                 x = calculateSplineCoefficients(xPoints[i - 3], xPoints[i - 2], xPoints[i - 1],
-                                                xPoints[i], alpha[s], mat);
+                                                xPoints[i], s, mat);
                 y = calculateSplineCoefficients(yPoints[i - 3], yPoints[i - 2], yPoints[i - 1],
-                                                yPoints[i], alpha[s], mat);
+                                                yPoints[i], s, mat);
                 polygon.append(rR.Map(x, y));
             }
         }
@@ -289,11 +289,7 @@ namespace emfplushelper
     {
         ::basegfx::B2DPolygon polygon;
         matrix mat;
-        float x, y;
-        constexpr sal_uInt32 nDetails = 8;
-        constexpr float alpha[nDetails]
-            = { 1. / nDetails, 2. / nDetails, 3. / nDetails, 4. / nDetails,
-                5. / nDetails, 6. / nDetails, 7. / nDetails, 8. / nDetails };
+        double x, y;
         GetCardinalMatrix(fTension, mat);
         // add three first points at the end
         xPoints.push_back(xPoints[0]);
@@ -308,9 +304,9 @@ namespace emfplushelper
             for (sal_uInt32 s = 0; s < nDetails; s++)
             {
                 x = calculateSplineCoefficients(xPoints[i - 3], xPoints[i - 2], xPoints[i - 1],
-                                                xPoints[i], alpha[s], mat);
+                                                xPoints[i], s, mat);
                 y = calculateSplineCoefficients(yPoints[i - 3], yPoints[i - 2], yPoints[i - 1],
-                                                yPoints[i], alpha[s], mat);
+                                                yPoints[i], s, mat);
                 polygon.append(rR.Map(x, y));
             }
         }
diff --git a/emfio/qa/cppunit/emf/EmfImportTest.cxx b/emfio/qa/cppunit/emf/EmfImportTest.cxx
index f7b0239d6f3b..7c3e2ee6e8be 100644
--- a/emfio/qa/cppunit/emf/EmfImportTest.cxx
+++ b/emfio/qa/cppunit/emf/EmfImportTest.cxx
@@ -933,97 +933,99 @@ CPPUNIT_TEST_FIXTURE(Test, testEmfPlusBrushPathGradientWithBlendColors)
     assertXPath(pDocument, aXPathPrefix + "svgradialgradient", "spreadmethod", "pad");
 }
 
-CPPUNIT_TEST_FIXTURE(Test, testEmfPlusRecordTypeDrawCurve)
+CPPUNIT_TEST_FIXTURE(Test, testEmfPlusDrawCurve)
 {
     // tdf#143877 EMF+ records: DrawCurve, DrawClosedCurve
-    Primitive2DSequence aSequence
-        = parseEmf(u"emfio/qa/cppunit/emf/data/TestEmfPlusRecordTypeDrawCurve.emf");
+    Primitive2DSequence aSequence = parseEmf(u"emfio/qa/cppunit/emf/data/TestEmfPlusDrawCurve.emf");
     CPPUNIT_ASSERT_EQUAL(1, static_cast<int>(aSequence.getLength()));
     drawinglayer::Primitive2dXmlDump dumper;
     xmlDocUniquePtr pDocument = dumper.dumpAndParse(Primitive2DContainer(aSequence));
     CPPUNIT_ASSERT(pDocument);
 
     assertXPath(pDocument, aXPathPrefix + "mask/polypolygonstroke", 26);
-    assertXPath(pDocument, aXPathPrefix + "mask/polypolygonstroke[1]/line", "color", "#ff0000");
+
+    // Verify DrawCurve with tension=0.5, offset=0, segments=2
+    assertXPath(pDocument, aXPathPrefix + "mask/polypolygonstroke[3]/line", "color", "#ff0000");
     assertXPath(
-        pDocument, aXPathPrefix + "mask/polypolygonstroke[1]/polypolygon", "path",
-        "m15171.856932876 0c2167.40813326801 2167.4834989758 2167.40813326801 4334.9669979516 0 "
-        "5418.7087474395-2167.40813326801-541.87087474395-2167.40813326801-2709.35437371975 "
-        "0-5418.7087474395");
-    assertXPath(pDocument, aXPathPrefix + "mask/polypolygonstroke[5]/line", "color", "#ff0000");
+        pDocument, aXPathPrefix + "mask/polypolygonstroke[3]/polypolygon", "path",
+        "m4121.5678588927 597.698391624308 124.350808427242 119.857180790532 168.799608035277 "
+        "163.249184432137 191.024007839294 186.003527805174 191.024007839294 188.120210909643 "
+        "168.799608035277 169.599233745543 124.350808427242 130.440596312875 57.677609015188 "
+        "70.6442986116379 14.8162665360123 69.7182497534329 10.5830475257226 128.191620514377 "
+        "6.34982851543373 166.821087170928 2.11660950514397 185.606649723086-2.11660950514397 "
+        "184.548308170852-6.34982851543373 163.646062514225-10.5830475257226 "
+        "122.899912753206-14.8162665360123 62.3098588877929");
+
+    // Verify DrawCurve with tension=1.125, offset=0, segments=3
+    assertXPath(pDocument, aXPathPrefix + "mask/polypolygonstroke[9]/line", "color", "#ff0000");
     assertXPath(
-        pDocument, aXPathPrefix + "mask/polypolygonstroke[5]/polypolygon", "path",
-        "m9067.13138473787 655.113420833017 134.193869426752 101.812405648104 139.272492038215 "
-        "99.2724892764088 141.812836844685 105.622473993772 141.813870345419 120.862553588321 "
-        "139.272492038217 144.992857252138 134.19386942675 178.012997408972 126.573868508085 "
-        "219.923426231116 106.674845357667 213.255822775207 76.1979421852029 161.820449175038 "
-        "45.7189720112692 124.990111480451 15.2400018373355 102.765068075616-15.2400018373355 "
-        "95.1448021921942-45.7179385105337 102.129959790608-76.1979421852029 "
-        "123.72002410252-106.676912359138 159.915511896266");
-    assertXPath(pDocument, aXPathPrefix + "mask/polypolygonstroke[10]/line", "color", "#ff0000");
+        pDocument, aXPathPrefix + "mask/polypolygonstroke[9]/polypolygon", "path",
+        "m6593.23860852523 4960.44685532205 129.113179813817 111.125862984599 154.512493875552 "
+        "132.292694029285 167.212150906418 147.109475760564 167.212150906418 155.576208178439 "
+        "154.512493875552 157.692891282907 129.113179813817 153.45952507397 91.0142087212153 "
+        "142.876109551627 59.2650661440466 139.171914118808 42.3321901028912 144.463621879979 "
+        "25.399314061734 146.580304984447 8.46643802057861 145.521963432213-8.46643802057861 "
+        "141.288597223276-25.399314061734 133.880206357636-42.3321901028912 "
+        "123.296790835293-59.2650661440466 109.538350656248-83.6060754532091 "
+        "99.2195205219632-111.121999020089 93.3986419846751-132.288094071533 "
+        "85.9902511190348-147.104360607545 76.9943479250442-155.570798628123 "
+        "66.4109324027004-157.687408133268 54.2400045520071-153.454189122979 "
+        "40.4815643729608-142.871141597256 25.135611865564");
+
+    // Verify DrawCurve with tension=0.125, offset=0, segments=4
+    assertXPath(pDocument, aXPathPrefix + "mask/polypolygonstroke[13]/line", "color", "#ff0000");
     assertXPath(
-        pDocument, aXPathPrefix + "mask/polypolygonstroke[10]/polypolygon", "path",
-        "m9067.13138473787 4990.08041878461 134.193869426752 101.812664032273 139.272492038215 "
-        "99.2722308922403 141.812836844685 105.622796973982 141.813870345419 120.862295204153 "
-        "139.272492038217 144.992792656096 134.19386942675 178.013255793139 126.573868508085 "
-        "219.923684615284 106.674845357667 213.255306006871 76.1979421852029 161.820319982953 "
-        "45.7189720112692 124.990240672536 15.2400018373355 102.765068075615-15.2400018373355 "
-        "95.14531896053-45.7179385105337 102.129959790608-76.1979421852029 "
-        "123.720540870856-106.676912359138 159.915511896266-113.239642025967 "
-        "159.967188729871-101.809123897599 119.010714256079-99.2687790911332 "
-        "85.355142834027-105.618607606564 59.002541537061-120.857575943166 "
-        "39.9523935968437-144.987751102401 28.2052157817125-178.007066082802 "
-        "23.7599745549942-219.914487383636 26.6171866850245");
-    assertXPath(pDocument, aXPathPrefix + "mask/polypolygonstroke[15]/line", "color", "#ff0000");
+        pDocument, aXPathPrefix + "mask/polypolygonstroke[13]/polypolygon", "path",
+        "m4121.5678588927 9267.6323875275 124.350808427242 119.857180790532 168.799608035277 "
+        "163.249184432138 191.024007839294 186.003527805173 191.024007839294 188.120210909643 "
+        "168.799608035277 169.599233745543 124.350808427242 130.440596312876 57.677609015188 "
+        "70.6442986116381 14.8162665360123 69.7182497534323 10.5830475257226 128.191620514377 "
+        "6.34982851543373 166.821087170927 2.11660950514397 185.606649723086-2.11660950514397 "
+        "184.548308170854-6.34982851543373 163.646062514224-10.5830475257226 "
+        "122.899912753204-14.8162665360123 62.3098588877929-55.8255756981871 "
+        "42.2675157423582-119.853013228809 69.3875180183586-163.243508084272 "
+        "86.5855682421661-185.997060264576 93.861666413779-188.113669769721 "
+        "91.2158125331916-169.593336599706 78.6480066004096-130.436060754531 "
+        "56.1582486154312-70.6418422341994 "
+        "23.7465385782562-70.6418422341985-7.93756164175647-130.436060754532-28.046051134208-169."
+        "593336599706-41.8044913132544-188.113669769721-49.2128821788938-185.997060264576-50."
+        "271223731128-163.243508084272-44.979515969957-119.853013228809-33.3377588953808-55."
+        "8255756981871-15.3459525073959");
+
+    // Verify DrawCurve with tension=0.125, offset=1, segments=3
+    assertXPath(pDocument, aXPathPrefix + "mask/polypolygonstroke[18]/line", "color", "#ff0000");
     assertXPath(
-        pDocument, aXPathPrefix + "mask/polypolygonstroke[15]/polypolygon", "path",
-        "m9067.13138473787 9325.04741673621 134.193869426752 101.812664032272 139.272492038215 "
-        "99.2722308922421 141.812836844685 105.623313742317 141.813870345419 120.862811972489 "
-        "139.272492038217 144.993826192769 134.19386942675 178.013255793139 126.573868508085 "
-        "219.924201383621 106.674845357667 213.252722165189 76.1979421852029 161.820836751291 "
-        "45.7189720112692 124.989723904198 15.2400018373355 102.765584843952-15.2400018373355 "
-        "95.1442854238576-45.7179385105337 102.130993327281-76.1979421852029 "
-        "123.719507334185-106.676912359138 159.916028664602-113.239642025967 "
-        "159.967705498208-101.809123897599 119.009680719406-99.2687790911332 "
-        "85.3556596023645-105.618607606564 59.0025415370601-120.857575943166 "
-        "39.9523935968446-144.987751102401 28.2052157817125-178.007066082802 "
-        "23.7599745549942-219.914487383636 26.6177034533594-219.91758788584 "
-        "15.0276232123888-178.007066082802-11.6417570745762-144.987751102401-31.9621215848092-120."
-        "858092693532-45.9314032449638-105.618607606566-53.5516691283865-99.2687790911314-54."
-        "8218856984004-101.808607147232-49.7410194183394-113.238608525233-38.3111373615429");
-    assertXPath(pDocument, aXPathPrefix + "mask/polypolygonstroke[20]/line", "color", "#ff0000");
+        pDocument, aXPathPrefix + "mask/polypolygonstroke[18]/polypolygon", "path",
+        "m5162.41058304753 14700.2318678401 10.5830475257226 128.191620514377 6.34982851543373 "
+        "166.821087170927 2.11660950514397 185.606649723086-2.11660950514397 "
+        "184.548308170854-6.34982851543373 163.646062514224-10.5830475257226 "
+        "122.899912753204-14.8162665360123 62.3098588877929-55.8255756981871 "
+        "42.2675157423582-119.853013228809 69.3875180183586-163.243508084272 "
+        "86.5855682421661-185.997060264576 93.861666413779-188.113669769721 "
+        "91.2158125331916-169.593336599706 78.6480066004096-130.436060754531 "
+        "56.1582486154312-70.6418422341994 23.7465385782562");
+
+    // Verify DrawClosedCurve with tension=0.5
+    assertXPath(pDocument, aXPathPrefix + "mask/polypolygonstroke[22]/line", "color", "#ff0000");
     assertXPath(
-        pDocument, aXPathPrefix + "mask/polypolygonstroke[20]/polypolygon", "path",
-        "m10130.9395287237 14843.7694408618 76.1979421852029 161.820836751291 45.7189720112692 "
-        "124.989723904198 15.2400018373355 102.765584843952-15.2400018373355 "
-        "95.1453189605309-45.7179385105337 102.129959790607-76.1979421852029 "
-        "123.720540870856-106.676912359138 159.916028664602-113.239642025967 "
-        "159.966671961536-101.809123897599 119.010714256079-99.2687790911332 "
-        "85.3546260656913-105.618607606564 59.0025415370601-120.857575943166 "
-        "39.953427133516-144.987751102401 28.2052157817125-178.007066082802 "
-        "23.7599745549942-219.914487383636 26.6177034533612");
-    assertXPath(pDocument, aXPathPrefix + "mask/polypolygonstroke[25]/line", "color", "#ff0000");
-    assertXPath(pDocument, aXPathPrefix + "mask/polypolygonstroke[25]/polypolygon", "path",
-                "m10130.9395287237 19178.7364388134 76.1979421852029 161.820836751289 "
-                "45.7189720112692 124.9897239042 15.2400018373355 "
-                "102.764551307278-15.2400018373355 95.1453189605309-45.7179385105337 "
-                "102.129959790607-76.1979421852029 123.720540870858-106.676912359138 "
-                "159.914995127929-113.239642025967 159.968739034881-101.809123897599 "
-                "119.009680719406-99.2687790911332 85.3556596023627-105.618607606564 "
-                "59.0025415370619-120.857575943166 39.9544606701893-144.987751102401 "
-                "28.2052157817125-178.007066082802 23.7610080916638-219.914487383636 "
-                "26.6177034533612-233.252847868691 45.0291257302197-210.390778111221 "
-                "61.2246453820844-184.991464049484 58.0496207253782-157.052321931652 "
-                "35.5081859067977-126.572835007349-6.40379322035369-93.5540367773156-67."
-                "6801154360437-57.9948937408126-148.324914886958-19.895922648212-248.340258646444 "
-                "19.8948891474765-321.473313564504 57.9954104911813-345.283931416434 "
-                "93.5540367773147-354.809005386542 126.573351757716-350.046468401488 "
-                "157.05283868202-330.996320461269 184.991980799852-297.658561565891 "
-                "210.390778111219-250.033191715345 233.250780867224-188.120210909645 "
-                "219.914487383634-96.7845081224878 178.007066082804 3.22670149030819 "
-                "144.987751102401 86.4140011546006 120.8586094439 152.773256723693 "
-                "105.618607606564 202.300334050906 99.2698125918669 235.005568502958 "
-                "101.809123897599 250.880691786475 113.238608525233 249.927770974791z");
+        pDocument, aXPathPrefix + "mask/polypolygonstroke[22]/polypolygon", "path",
+        "m2709.26016658501 19012.0476443365v122.767620059174 173.568014566423 198.968211820044 "
+        "198.968211820044 173.568014566423 122.767620059174 46.5670282983083l-46.5654091131796 "
+        "23.283514149156-122.763351298383 61.383810029587-173.561979421852 "
+        "86.7840072832114-198.961293483586 99.4841059100218-198.961293483586 "
+        "99.4841059100218-173.561979421852 86.7840072832114-122.763351298383 "
+        "61.383810029587-46.5654091131796 "
+        "23.283514149156-46.5654091131798-11.6417570745798-122.763351298383-30.6919050147917-173."
+        "561979421852-43.3920036416057-198.961293483586-49.7420529550109-198.961293483586-49."
+        "7420529550109-173.561979421852-43.3920036416057-122.763351298383-30.6919050147953-46."
+        "5654091131798-11.6417570745762 46.5654091131798-104.775813671193 "
+        "122.763351298383-276.227145133147 173.561979421852-390.528032774448 "
+        "198.961293483586-447.678476595098 198.961293483586-447.678476595102 "
+        "173.561979421852-390.528032774448 122.763351298383-276.227145133147 "
+        "46.5654091131798-104.775813671193 46.5654091131796 46.5670282983083 122.763351298383 "
+        "122.767620059178 173.561979421852 173.568014566419 198.961293483586 198.968211820044 "
+        "198.961293483586 198.968211820047 173.561979421852 173.568014566419 122.763351298383 "
+        "122.767620059178 46.5654091131796 46.5670282983083z");
 }
 
 CPPUNIT_TEST_FIXTURE(Test, testEmfPlusGetDC)
@@ -1174,77 +1176,60 @@ CPPUNIT_TEST_FIXTURE(Test, testEmfPlusFillClosedCurve)
 
     assertXPath(pDocument, aXPathPrefix + "polypolygoncolor", 2);
     assertXPath(pDocument, aXPathPrefix + "polypolygoncolor[1]", "color", "#808080");
-    assertXPath(
-        pDocument, aXPathPrefix + "polypolygoncolor[1]/polypolygon", "path",
-        "m19296.3351298383 "
-        "18361.4321751005-414.061734443902-308.241977088233-546.349828515435-482.86833320689-607."
-        "202351788335-586.056634549728-596.619304262618-617.806881116761-514.600685938261-578."
-        "119072907972-361.146496815287-466.993209923374-136.25673689368-284.429292162964 "
-        "145.516903478681-148.167817312798 383.635472807451-105.834155223427 "
-        "542.381185693288-63.5004931340554 621.754042136206-21.1668310446876 621.758176139148 "
-        "21.1688981180305 542.381185693288 63.5004931340554 383.639606810386 105.836222296773 "
-        "145.516903478689 148.167817312798-136.265004899564 284.425158016275-361.146496815287 "
-        "466.993209923374-514.600685938261 578.119072907972-596.619304262618 "
-        "617.806881116761-607.202351788335 586.058701623075-546.349828515435 "
-        "482.868333206887-414.061734443902 308.244044161576-210.338069573736 "
-        "62.1775661937645-10.5830475257244-283.110499369355 116.413522782947-605.900538654125 "
-        "211.660950514459-817.568849100979 275.159235668783-918.111296563235 "
-        "306.912512248899-907.527881040893 306.908378245957-785.818602533949 "
-        "275.163369671733-552.983461042411 211.660950514452-209.022456566268 211.652682508575 "
-        "209.022456566268 275.159235668791 552.983461042411 306.908378245957 785.818602533949 "
-        "306.908378245957 907.527881040893 275.163369671733 918.113363636578 211.660950514452 "
-        "817.568849100979 116.417656785889 605.902605727468-10.5830475257171 283.106365222669z");
     assertXPath(pDocument, aXPathPrefix + "polypolygoncolor[2]", "color", "#808080");
+
+    // Validate curve generated by FillClosedCurve, tension=0.25
     assertXPath(
         pDocument, aXPathPrefix + "polypolygoncolor[2]/polypolygon", "path",
-        "m24376.1979421852 "
-        "18361.4321751005-414.061734443902-308.241977088233-546.349828515435-482.86833320689-607."
-        "202351788335-586.056634549728-596.619304262618-617.806881116761-514.600685938261-578."
-        "119072907972-361.146496815287-466.993209923374-136.25673689368-284.429292162964 "
-        "145.516903478681-148.167817312798 383.635472807451-105.834155223427 "
-        "542.381185693288-63.5004931340554 621.754042136206-21.1668310446876 621.754042136206 "
-        "21.1688981180305 542.381185693288 63.5004931340554 383.635472807451 105.836222296773 "
-        "145.516903478681 148.167817312798-136.25673689368 284.425158016275-361.146496815287 "
-        "466.993209923374-514.600685938261 578.119072907972-596.619304262618 "
-        "617.806881116761-607.202351788335 586.058701623075-546.349828515435 "
-        "482.868333206887-414.061734443902 308.244044161576-210.338069573736 "
-        "62.1775661937645-10.5830475257244-283.110499369355 116.413522782947-605.900538654125 "
-        "211.660950514459-817.568849100979 275.159235668783-918.111296563235 "
-        "306.908378245964-907.527881040893 306.908378245957-785.818602533949 "
-        "275.159235668791-552.983461042411 211.660950514452-209.022456566268 211.660950514452 "
-        "209.022456566268 275.159235668791 552.983461042411 306.908378245957 785.818602533949 "
-        "306.908378245964 907.527881040893 275.159235668783 918.113363636578 211.660950514459 "
-        "817.568849100979 116.413522782947 605.902605727468-10.5830475257244 283.106365222669z");
+        "m1305.97700269476 "
+        "808.572945906987-50.3314857912787-25.4001972536228-68.1076984321412-40.2169789849024-76."
+        "5824044585986-48.6837114027768-75.7556038706516-50.8003945072452-65.6272966683-46."
+        "5670282983082-46.1974828515433-35.9836127759654-17.4661624203823-19.050147940217 "
+        "18.1896129348361-7.40839086563994 47.9544341009307-5.29170776117132 "
+        "67.797648211661-3.17502465670293 77.719255267026-1.0583415522342 77.719255267026 "
+        "1.0583415522342 67.7976482116608 3.17502465670293 47.9544341009309 5.29170776117132 "
+        "18.1896129348359 7.40839086563994-17.4661624203823 19.050147940217-46.1974828515431 "
+        "35.9836127759654-65.6272966683 46.5670282983082-75.7556038706516 "
+        "50.8003945072452-76.5824044585986 48.6837114027768-68.1076984321412 "
+        "40.2169789849024-50.3314857912787 25.4001972536228-23.2537665360119 4.23336620893701 "
+        "2.58375183733483-29.7658561565891 18.0862628613424-64.4265419922616 "
+        "29.2480707986281-87.1808853652984 36.0691756491915-98.0288862757 "
+        "38.5495774130329-96.9705447234655 36.6892760901519-84.0058607085957 "
+        "30.4882716805487-59.1348342310902 19.9465641842235-22.3574652909491 19.9465641842235 "
+        "22.3574652909491 30.4882716805487 59.1348342310902 36.6892760901519 84.0058607085957 "
+        "38.5495774130327 96.9705447234655 36.0691756491917 98.0288862757 29.2480707986281 "
+        "87.1808853652984 18.0862628613424 64.4265419922616 2.5837518373346 29.7658561565891z");
+
+    // Validate curve generated by DrawClosedCurve, tension=0.25
+    assertXPath(
+        pDocument, aXPathPrefix + "polypolygonstroke[2]/polypolygon", "path",
+        "m1305.97700269476 "
+        "808.572945906987-50.3314857912787-25.4001972536228-68.1076984321412-40.2169789849024-76."
+        "5824044585986-48.6837114027768-75.7556038706516-50.8003945072452-65.6272966683-46."
+        "5670282983082-46.1974828515433-35.9836127759654-17.4661624203823-19.050147940217 "
+        "18.1896129348361-7.40839086563994 47.9544341009307-5.29170776117132 "
+        "67.797648211661-3.17502465670293 77.719255267026-1.0583415522342 77.719255267026 "
+        "1.0583415522342 67.7976482116608 3.17502465670293 47.9544341009309 5.29170776117132 "
+        "18.1896129348359 7.40839086563994-17.4661624203823 19.050147940217-46.1974828515431 "
+        "35.9836127759654-65.6272966683 46.5670282983082-75.7556038706516 "
+        "50.8003945072452-76.5824044585986 48.6837114027768-68.1076984321412 "
+        "40.2169789849024-50.3314857912787 25.4001972536228-23.2537665360119 4.23336620893701 "
+        "2.58375183733483-29.7658561565891 18.0862628613424-64.4265419922616 "
+        "29.2480707986281-87.1808853652984 36.0691756491915-98.0288862757 "
+        "38.5495774130329-96.9705447234655 36.6892760901519-84.0058607085957 "
+        "30.4882716805487-59.1348342310902 19.9465641842235-22.3574652909491 19.9465641842235 "
+        "22.3574652909491 30.4882716805487 59.1348342310902 36.6892760901519 84.0058607085957 "
+        "38.5495774130327 96.9705447234655 36.0691756491917 98.0288862757 29.2480707986281 "
+        "87.1808853652984 18.0862628613424 64.4265419922616 2.5837518373346 29.7658561565891z");
 
     assertXPath(pDocument, aXPathPrefix + "polypolygonstroke", 2);
     assertXPath(pDocument, aXPathPrefix + "polypolygonstroke[1]/line", "color", "#00ff00");
-    assertXPath(pDocument, aXPathPrefix + "polypolygonstroke[1]/line", "width", "33");
+    assertXPath(pDocument, aXPathPrefix + "polypolygonstroke[1]/line", "width", "4");
     assertXPath(pDocument, aXPathPrefix + "polypolygonstroke[1]/line", "linejoin", "Miter");
     assertXPath(pDocument, aXPathPrefix + "polypolygonstroke[1]/line", "miterangle", "3");
     assertXPath(pDocument, aXPathPrefix + "polypolygonstroke[1]/line", "linecap", "BUTT");
-
-    assertXPath(
-        pDocument, aXPathPrefix + "polypolygonstroke[1]/polypolygon", "path",
-        "m19296.3351298383 "
-        "18361.4321751005-414.061734443902-308.241977088233-546.349828515435-482.86833320689-607."
-        "202351788335-586.056634549728-596.619304262618-617.806881116761-514.600685938261-578."
-        "119072907972-361.146496815287-466.993209923374-136.25673689368-284.429292162964 "
-        "145.516903478681-148.167817312798 383.635472807451-105.834155223427 "
-        "542.381185693288-63.5004931340554 621.754042136206-21.1668310446876 621.758176139148 "
-        "21.1688981180305 542.381185693288 63.5004931340554 383.639606810386 105.836222296773 "
-        "145.516903478689 148.167817312798-136.265004899564 284.425158016275-361.146496815287 "
-        "466.993209923374-514.600685938261 578.119072907972-596.619304262618 "
-        "617.806881116761-607.202351788335 586.058701623075-546.349828515435 "
-        "482.868333206887-414.061734443902 308.244044161576-210.338069573736 "
-        "62.1775661937645-10.5830475257244-283.110499369355 116.413522782947-605.900538654125 "
-        "211.660950514459-817.568849100979 275.159235668783-918.111296563235 "
-        "306.912512248899-907.527881040893 306.908378245957-785.818602533949 "
-        "275.163369671733-552.983461042411 211.660950514452-209.022456566268 211.652682508575 "
-        "209.022456566268 275.159235668791 552.983461042411 306.908378245957 785.818602533949 "
-        "306.908378245957 907.527881040893 275.163369671733 918.113363636578 211.660950514452 "
-        "817.568849100979 116.417656785889 605.902605727468-10.5830475257171 283.106365222669z");
     assertXPath(pDocument, aXPathPrefix + "polypolygonstroke[2]/line", "color", "#aaaa00");
-    assertXPath(pDocument, aXPathPrefix + "polypolygonstroke[2]/line", "width", "33");
+    assertXPath(pDocument, aXPathPrefix + "polypolygonstroke[2]/line", "width", "4");
 }
 
 CPPUNIT_TEST_FIXTURE(Test, testExtTextOutOpaqueAndClipTransform)
diff --git a/emfio/qa/cppunit/emf/data/TestEmfPlusDrawCurve.emf b/emfio/qa/cppunit/emf/data/TestEmfPlusDrawCurve.emf
new file mode 100644
index 000000000000..6137e4986b5c
--- /dev/null
+++ b/emfio/qa/cppunit/emf/data/TestEmfPlusDrawCurve.emf
diff --git a/emfio/qa/cppunit/emf/data/TestEmfPlusFillClosedCurve.emf b/emfio/qa/cppunit/emf/data/TestEmfPlusFillClosedCurve.emf
index f9f50092b64f..b44a59a81b5c 100644
--- a/emfio/qa/cppunit/emf/data/TestEmfPlusFillClosedCurve.emf
+++ b/emfio/qa/cppunit/emf/data/TestEmfPlusFillClosedCurve.emf
diff --git a/emfio/qa/cppunit/emf/data/TestEmfPlusRecordTypeDrawCurve.emf b/emfio/qa/cppunit/emf/data/TestEmfPlusRecordTypeDrawCurve.emf
deleted file mode 100644
index 299663ef4416..000000000000
--- a/emfio/qa/cppunit/emf/data/TestEmfPlusRecordTypeDrawCurve.emf
+++ /dev/null