jsts/testxml/general/TestRelateLA.xml

<run>
  <precisionModel scale="1.0" offsetx="0.0" offsety="0.0"/>

<case>
  <desc>LA - intersection at NV: {A-Bdy, A-Int} = {B-Bdy, B-Int}</desc>
  <a>
    LINESTRING(100 120, 100 240)
  </a>
  <b>
    POLYGON(
      (40 60, 160 60, 160 180, 40 180, 40 60))
  </b>
<test>
  <op name="relate" arg3="1010F0212" arg1="A" arg2="B">
    true
  </op>
</test>
</case>

<case>
  <desc>LA - intersection at V: {A-Bdy, A-Int} = {B-Bdy, B-Int}</desc>
  <a>
    LINESTRING(80 80, 140 140, 200 200)
  </a>
  <b>
    POLYGON(
      (40 40, 140 40, 140 140, 40 140, 40 40))
  </b>
<test>
  <op name="relate" arg3="1010F0212" arg1="A" arg2="B">
    true
  </op>
</test>
</case>

<case>
  <desc>LmA - intersection at NV, L contained in A</desc>
  <a>
    LINESTRING(70 50, 70 150)
  </a>
  <b>
    MULTIPOLYGON(
      (
        (0 0, 0 100, 140 100, 140 0, 0 0)), 
      (
        (20 170, 70 100, 130 170, 20 170)))
  </b>
<test>
  <op name="relate" arg3="10F0FF212" arg1="A" arg2="B">
    true
  </op>
</test>
</case>

<case>
  <desc>LA - A crosses B at {shell-NV, hole-V}</desc>
  <a>
    LINESTRING(60 160, 150 70)
  </a>
  <b>
    POLYGON(
      (190 190, 360 20, 20 20, 190 190), 
      (110 110, 250 100, 140 30, 110 110))
  </b>
<test>
  <op name="relate" arg3="F01FF0212" arg1="A" arg2="B">
    true
  </op>
</test>
</case>

<case>
  <desc>LA - A intersects B at {shell-NV}, B-Int, {hole-V}</desc>
  <a>
    LINESTRING(60 160, 150 70)
  </a>
  <b>
    POLYGON(
      (190 190, 360 20, 20 20, 190 190), 
      (111 110, 250 100, 140 30, 111 110))
  </b>
<test>
  <op name="relate" arg3="101FF0212" arg1="A" arg2="B">
    true
  </op>
</test>
</case>

<case>
  <desc>LA - A crosses B hole at {hole1-V, hole2-NV}</desc>
  <a>
    LINESTRING(80 110, 170 110)
  </a>
  <b>
    POLYGON(
      (20 200, 20 20, 240 20, 240 200, 20 200), 
      (130 110, 60 40, 60 180, 130 110), 
      (130 180, 130 40, 200 110, 130 180))
  </b>
<test>
  <op name="relate" arg3="F01FF0212" arg1="A" arg2="B">
    true
  </op>
</test>
</case>

<case>
  <desc>LA - A crosses B hole at {hole1-V}, B-Int, {hole2-NV}</desc>
  <a>
    LINESTRING(80 110, 170 110)
  </a>
  <b>
    POLYGON(
      (20 200, 20 20, 240 20, 240 200, 20 200), 
      (130 110, 60 40, 60 180, 130 110), 
      (130 180, 131 40, 200 110, 130 180))
  </b>
<test>
  <op name="relate" arg3="101FF0212" arg1="A" arg2="B">
    true
  </op>
</test>
</case>

<case>
<desc>LA - Line with endpoints in interior but crossing exterior of multipolygon</desc>
  <a>
    LINESTRING(160 70, 320 230)
  </a>
  <b>
    MULTIPOLYGON(
      (
        (140 110, 260 110, 170 20, 50 20, 140 110)), 
      (
        (300 270, 420 270, 340 190, 220 190, 300 270)))
  </b>
  <test>
    <op name="relate" arg1="A" arg2="B" arg3="1010FF212">true</op>
  </test>
</case>

<case>
<desc>LA - Line with a very small piece in the exterior between parts of a multipolygon</desc>
  <a>
    LINESTRING(100 140, 100 40)
  </a>
  <b>
    MULTIPOLYGON(
      (
        (20 80, 180 79, 100 0, 20 80)), 
      (
        (20 160, 180 160, 100 80, 20 160)))
  </b>
  <test>
    <op name="relate" arg1="A" arg2="B" arg3="1010FF212">true</op>
  </test>
</case>

<case>
<desc>LA - Line contained completely and spanning parts of multipolygon</desc>
  <a>
    LINESTRING(100 140, 100 40)
  </a>
  <b>
    MULTIPOLYGON(
      (
        (20 80, 180 80, 100 0, 20 80)), 
      (
        (20 160, 180 160, 100 80, 20 160)))
  </b>
  <test>
    <op name="relate" arg1="A" arg2="B" arg3="10F0FF212">true</op>
  </test>
</case>

<case>
<desc>LA - overlapping ring and triangle</desc>
  <a>
    LINESTRING(110 60, 20 150, 200 150, 110 60)
  </a>
  <b>
    POLYGON(
      (20 20, 200 20, 110 110, 20 20))
  </b>
  <test>
    <op name="relate" arg1="A" arg2="B" arg3="101FFF212">true</op>
  </test>
</case>

</run>