svg-flatten: Fix uniformity calculation

Previously, the uniformity check miscalculated the worst-case absolute deviation

2 files changed, 69 insertions, 228 deletions

diff --git a/svg-flatten/include/geom2d.hpp b/svg-flatten/include/geom2d.hpp
index 34455cd..28ce024 100644
--- a/svg-flatten/include/geom2d.hpp
+++ b/svg-flatten/include/geom2d.hpp
@@ -180,10 +180,11 @@ namespace gerbolyze {
                 }
 
                 double imbalance = f_max / f_min - 1.0;
-                //cerr << "  * skew check: " << dbg_str();
+                bool okay =  imbalance < rel_tol && (f_max - f_min)*fabs(dist_doc) < abs_tol;
+                //cerr << "  " << (okay ? "." : "#") << " skew check: " << dbg_str();
                 //cerr << "    imbalance=" << imbalance << endl;
                 //cerr << "    rel=" << (imbalance < rel_tol) << " abs=" << (imbalance*fabs(dist_doc) < abs_tol) << endl;
-                return imbalance < rel_tol && imbalance*fabs(dist_doc) < abs_tol;
+                return okay;
             }
 
             double doc2phys_min(double dist_doc) {
diff --git a/svg-flatten/testdata/svg/xform_uniformity_threshold.svg b/svg-flatten/testdata/svg/xform_uniformity_threshold.svg
index d9a6c02..e8a1dc1 100644
--- a/svg-flatten/testdata/svg/xform_uniformity_threshold.svg
+++ b/svg-flatten/testdata/svg/xform_uniformity_threshold.svg
@@ -7,7 +7,7 @@
    viewBox="0 0 80 160"
    version="1.1"
    id="svg5"
-   inkscape:version="1.2.2 (b0a8486541, 2022-12-01)"
+   inkscape:version="1.3.2 (091e20ef0f, 2023-11-25, custom)"
    sodipodi:docname="xform_uniformity_threshold.svg"
    xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
    xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
@@ -24,11 +24,11 @@
      inkscape:deskcolor="#d1d1d1"
      inkscape:document-units="mm"
      showgrid="false"
-     inkscape:zoom="8.6041055"
-     inkscape:cx="139.00341"
-     inkscape:cy="420.14827"
-     inkscape:window-width="1920"
-     inkscape:window-height="1011"
+     inkscape:zoom="3.0420107"
+     inkscape:cx="28.928235"
+     inkscape:cy="187.54043"
+     inkscape:window-width="3840"
+     inkscape:window-height="2091"
      inkscape:window-x="0"
      inkscape:window-y="0"
      inkscape:window-maximized="1"
@@ -48,10 +48,11 @@
      id="layer1">
     <path
        id="path3566"
-       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
+       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none;opacity:1"
        d="M 8.1315672,8.1008172 H 14.053661 M 11.092614,5.1397702 V 11.061865" />
     <g
-       id="g4187">
+       id="g4187"
+       style="opacity:1">
       <path
          id="path4184"
          style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
@@ -59,47 +60,25 @@
     </g>
     <path
        id="path4219"
-       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
+       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none;opacity:1"
        d="m 8.1315672,23.975818 h 5.9220938 m -2.909362,-2.961047 -0.10337,5.922095" />
     <g
        id="g4223"
-       transform="matrix(1,0,-0.01745506,1,0.23376669,15.875)">
+       transform="matrix(1,0,-0.01745506,1,0.23376669,15.875)"
+       style="opacity:1">
       <path
          id="path4221"
          style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
          d="m 13.423234,13.392484 h 5.922094 m -2.961047,-2.961047 v 5.922095" />
     </g>
     <path
-       id="path4225"
-       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
-       d="m 8.1315672,23.975818 h 5.9220938 m -2.909362,-2.961047 -0.10337,5.922095" />
-    <g
-       id="g4229"
-       transform="matrix(1,0,-0.01745506,1,0.23376669,15.875)">
-      <path
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-         style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
-         d="m 13.423234,13.392484 h 5.922094 m -2.961047,-2.961047 v 5.922095" />
-    </g>
-    <path
-       id="path4231"
-       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
-       d="m 8.1315672,23.975818 h 5.9220938 m -2.909362,-2.961047 -0.10337,5.922095" />
-    <g
-       id="g4235"
-       transform="matrix(1,0,-0.01745506,1,0.23376669,15.875)">
-      <path
-         id="path4233"
-         style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
-         d="m 13.423234,13.392484 h 5.922094 m -2.961047,-2.961047 v 5.922095" />
-    </g>
-    <path
        id="path4237"
-       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
+       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none;opacity:1"
        d="m 8.1315672,39.850819 h 5.9220938 m -2.857677,-2.961047 -0.20674,5.922095" />
     <g
        id="g4241"
-       transform="matrix(1,0,-0.03491012,1,0.46753338,31.750001)">
+       transform="matrix(1,0,-0.03491012,1,0.46753338,31.750001)"
+       style="opacity:1">
       <path
          id="path4239"
          style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
@@ -107,11 +86,12 @@
     </g>
     <path
        id="path4243"
-       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
+       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none;opacity:1"
        d="m 8.1315672,55.72582 h 5.9220938 m -2.805992,-2.961047 -0.31011,5.922095" />
     <g
        id="g4247"
-       transform="matrix(1,0,-0.05236518,1,0.70130007,47.625002)">
+       transform="matrix(1,0,-0.05236518,1,0.70130007,47.625002)"
+       style="opacity:1">
       <path
          id="path4245"
          style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
@@ -119,11 +99,12 @@
     </g>
     <path
        id="path4249"
-       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
+       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none;opacity:1"
        d="m 8.1315672,71.600821 h 5.9220938 m -2.754307,-2.961047 -0.41348,5.922095" />
     <g
        id="g4253"
-       transform="matrix(1,0,-0.06982024,1,0.93506676,63.500003)">
+       transform="matrix(1,0,-0.06982024,1,0.93506676,63.500003)"
+       style="opacity:1">
       <path
          id="path4251"
          style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
@@ -131,11 +112,12 @@
     </g>
     <path
        id="path4305"
-       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
+       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none;opacity:1"
        d="m 24.006568,8.1008172 h 5.922094 m -2.701989,-2.961047 -0.518116,5.9220948" />
     <g
        id="g4309"
-       transform="matrix(1,0,-0.08748866,1,17.046691,0)">
+       transform="matrix(1,0,-0.08748866,1,17.046691,0)"
+       style="opacity:1">
       <path
          id="path4307"
          style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
@@ -143,47 +125,25 @@
     </g>
     <path
        id="path4311"
-       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
+       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none;opacity:1"
        d="m 24.006568,23.975818 h 5.922094 m -2.650304,-2.961047 -0.621486,5.922095" />
     <g
        id="g4315"
-       transform="matrix(1,0,-0.10494372,1,17.280458,15.875)">
+       transform="matrix(1,0,-0.10494372,1,17.280458,15.875)"
+       style="opacity:1">
       <path
          id="path4313"
          style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
          d="m 13.423234,13.392484 h 5.922094 m -2.961047,-2.961047 v 5.922095" />
     </g>
     <path
-       id="path4317"
-       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
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-    <g
-       id="g4321"
-       transform="matrix(1,0,-0.10494372,1,17.280458,15.875)">
-      <path
-         id="path4319"
-         style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
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-    </g>
-    <path
-       id="path4323"
-       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
-       d="m 24.006568,23.975818 h 5.922094 m -2.650304,-2.961047 -0.621486,5.922095" />
-    <g
-       id="g4327"
-       transform="matrix(1,0,-0.10494372,1,17.280458,15.875)">
-      <path
-         id="path4325"
-         style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
-         d="m 13.423234,13.392484 h 5.922094 m -2.961047,-2.961047 v 5.922095" />
-    </g>
-    <path
        id="path4329"
-       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
+       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none;opacity:1"
        d="m 24.006568,39.850819 h 5.922094 m -2.598619,-2.961047 -0.724856,5.922095" />
     <g
        id="g4333"
-       transform="matrix(1,0,-0.12239878,1,17.514225,31.750001)">
+       transform="matrix(1,0,-0.12239878,1,17.514225,31.750001)"
+       style="opacity:1">
       <path
          id="path4331"
          style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
@@ -191,11 +151,12 @@
     </g>
     <path
        id="path4335"
-       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
+       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none;opacity:1"
        d="m 24.006568,55.72582 h 5.922094 m -2.546934,-2.961047 -0.828226,5.922095" />
     <g
        id="g4339"
-       transform="matrix(1,0,-0.13985384,1,17.747991,47.625002)">
+       transform="matrix(1,0,-0.13985384,1,17.747991,47.625002)"
+       style="opacity:1">
       <path
          id="path4337"
          style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
@@ -203,107 +164,25 @@
     </g>
     <path
        id="path4341"
-       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
+       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none;opacity:1"
        d="m 24.006568,71.600821 h 5.922094 m -2.495249,-2.961047 -0.931596,5.922095" />
     <g
        id="g4345"
-       transform="matrix(1,0,-0.1573089,1,17.981758,63.500003)">
+       transform="matrix(1,0,-0.1573089,1,17.981758,63.500003)"
+       style="opacity:1">
       <path
          id="path4343"
          style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
          d="m 13.423234,13.392484 h 5.922094 m -2.961047,-2.961047 v 5.922095" />
     </g>
     <path
-       id="path4347"
-       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
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-       transform="matrix(1,0,-0.08748866,1,17.046691,0)">
-      <path
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-    </g>
-    <path
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-       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
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-    <g
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-       transform="matrix(1,0,-0.10494372,1,17.280458,15.875)">
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-    <path
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-       transform="matrix(1,0,-0.10494372,1,17.280458,15.875)">
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-       transform="matrix(1,0,-0.10494372,1,17.280458,15.875)">
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-    </g>
-    <path
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-       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
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-       transform="matrix(1,0,-0.12239878,1,17.514225,31.750001)">
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-    </g>
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-         d="m 13.423234,13.392484 h 5.922094 m -2.961047,-2.961047 v 5.922095" />
-    </g>
-    <path
        id="path4389"
-       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
+       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none;opacity:1"
        d="m 39.881569,8.1008172 h 5.922094 M 43.360732,5.1397702 42.3245,11.061865" />
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        id="g4393"
-       transform="matrix(1,0,-0.17497732,1,34.093383,0)">
+       transform="matrix(1,0,-0.17497732,1,34.093383,0)"
+       style="opacity:1">
       <path
          id="path4391"
          style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
@@ -311,47 +190,25 @@
     </g>
     <path
        id="path4395"
-       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
+       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none;opacity:1"
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        id="g4399"
-       transform="matrix(1,0,-0.19243238,1,34.32715,15.875)">
+       transform="matrix(1,0,-0.19243238,1,34.32715,15.875)"
+       style="opacity:1">
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          id="path4397"
          style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none"
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-    </g>
-    <path
        id="path4413"
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+       style="fill:#ffffff;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-linejoin:round;stroke-dasharray:none;opacity:1"
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