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diff --git a/testing/web-platform/tests/dom/ranges/Range-compareBoundaryPoints.html b/testing/web-platform/tests/dom/ranges/Range-compareBoundaryPoints.html
new file mode 100644
index 0000000000..9d150ae0ab
--- /dev/null
+++ b/testing/web-platform/tests/dom/ranges/Range-compareBoundaryPoints.html
@@ -0,0 +1,182 @@
+<!doctype html>
+<title>Range.compareBoundaryPoints() tests</title>
+<link rel="author" title="Aryeh Gregor" href=ayg@aryeh.name>
+<meta name=timeout content=long>
+
+<div id=log></div>
+<script src=/resources/testharness.js></script>
+<script src=/resources/testharnessreport.js></script>
+<script src=../common.js></script>
+<script>
+"use strict";
+
+var testRangesCached = [];
+testRangesCached.push(document.createRange());
+testRangesCached[0].detach();
+for (var i = 0; i < testRangesShort.length; i++) {
+  try {
+    testRangesCached.push(rangeFromEndpoints(eval(testRangesShort[i])));
+  } catch(e) {
+    testRangesCached.push(null);
+  }
+}
+
+var testRangesCachedClones = [];
+testRangesCachedClones.push(document.createRange());
+testRangesCachedClones[0].detach();
+for (var i = 1; i < testRangesCached.length; i++) {
+  if (testRangesCached[i]) {
+    testRangesCachedClones.push(testRangesCached[i].cloneRange());
+  } else {
+    testRangesCachedClones.push(null);
+  }
+}
+
+// We want to run a whole bunch of extra tests with invalid "how" values (not
+// 0-3), but it's excessive to run them for every single pair of ranges --
+// there are too many of them.  So just run them for a handful of the tests.
+var extraTests = [0, // detached
+  1 + testRanges.indexOf("[paras[0].firstChild, 2, paras[0].firstChild, 8]"),
+  1 + testRanges.indexOf("[paras[0].firstChild, 3, paras[3], 1]"),
+  1 + testRanges.indexOf("[testDiv, 0, comment, 5]"),
+  1 + testRanges.indexOf("[foreignDoc.documentElement, 0, foreignDoc.documentElement, 1]")];
+
+for (var i = 0; i < testRangesCached.length; i++) {
+  var range1 = testRangesCached[i];
+  var range1Desc = i + " " + (i == 0 ? "[detached]" : testRanges[i - 1]);
+  for (var j = 0; j <= testRangesCachedClones.length; j++) {
+    var range2;
+    var range2Desc;
+    if (j == testRangesCachedClones.length) {
+      range2 = range1;
+      range2Desc = "same as first range";
+    } else {
+      range2 = testRangesCachedClones[j];
+      range2Desc = j + " " + (j == 0 ? "[detached]" : testRanges[j - 1]);
+    }
+
+    var hows = [Range.START_TO_START, Range.START_TO_END, Range.END_TO_END,
+      Range.END_TO_START];
+    if (extraTests.indexOf(i) != -1 && extraTests.indexOf(j) != -1) {
+      // TODO: Make some type of reusable utility function to do this
+      // work.
+      hows.push(-1, 4, 5, NaN, -0, +Infinity, -Infinity);
+      [65536, -65536, 65536*65536, 0.5, -0.5, -72.5].forEach(function(addend) {
+        hows.push(-1 + addend, 0 + addend, 1 + addend,
+          2 + addend, 3 + addend, 4 + addend);
+      });
+      hows.forEach(function(how) { hows.push(String(how)) });
+      hows.push("6.5536e4", null, undefined, true, false, "", "quasit");
+    }
+
+    for (var k = 0; k < hows.length; k++) {
+      var how = hows[k];
+      test(function() {
+        assert_not_equals(range1, null,
+          "Creating context range threw an exception");
+        assert_not_equals(range2, null,
+          "Creating argument range threw an exception");
+
+        // Convert how per WebIDL.  TODO: Make some type of reusable
+        // utility function to do this work.
+        // "Let number be the result of calling ToNumber on the input
+        // argument."
+        var convertedHow = Number(how);
+
+        // "If number is NaN, +0, −0, +∞, or −∞, return +0."
+        if (isNaN(convertedHow)
+        || convertedHow == 0
+        || convertedHow == Infinity
+        || convertedHow == -Infinity) {
+          convertedHow = 0;
+        } else {
+          // "Let posInt be sign(number) * floor(abs(number))."
+          var posInt = (convertedHow < 0 ? -1 : 1) * Math.floor(Math.abs(convertedHow));
+
+          // "Let int16bit be posInt modulo 2^16; that is, a finite
+          // integer value k of Number type with positive sign and
+          // less than 2^16 in magnitude such that the mathematical
+          // difference of posInt and k is mathematically an integer
+          // multiple of 2^16."
+          //
+          // "Return int16bit."
+          convertedHow = posInt % 65536;
+          if (convertedHow < 0) {
+            convertedHow += 65536;
+          }
+        }
+
+        // Now to the actual algorithm.
+        // "If how is not one of
+        //   START_TO_START,
+        //   START_TO_END,
+        //   END_TO_END, and
+        //   END_TO_START,
+        // throw a "NotSupportedError" exception and terminate these
+        // steps."
+        if (convertedHow != Range.START_TO_START
+        && convertedHow != Range.START_TO_END
+        && convertedHow != Range.END_TO_END
+        && convertedHow != Range.END_TO_START) {
+          assert_throws_dom("NOT_SUPPORTED_ERR", function() {
+            range1.compareBoundaryPoints(how, range2);
+          }, "NotSupportedError required if first parameter doesn't convert to 0-3 per WebIDL");
+          return;
+        }
+
+        // "If context object's root is not the same as sourceRange's
+        // root, throw a "WrongDocumentError" exception and terminate
+        // these steps."
+        if (furthestAncestor(range1.startContainer) != furthestAncestor(range2.startContainer)) {
+          assert_throws_dom("WRONG_DOCUMENT_ERR", function() {
+            range1.compareBoundaryPoints(how, range2);
+          }, "WrongDocumentError required if the ranges don't share a root");
+          return;
+        }
+
+        // "If how is:
+        //   START_TO_START:
+        //     Let this point be the context object's start.
+        //     Let other point be sourceRange's start.
+        //   START_TO_END:
+        //     Let this point be the context object's end.
+        //     Let other point be sourceRange's start.
+        //   END_TO_END:
+        //     Let this point be the context object's end.
+        //     Let other point be sourceRange's end.
+        //   END_TO_START:
+        //     Let this point be the context object's start.
+        //     Let other point be sourceRange's end."
+        var thisPoint = convertedHow == Range.START_TO_START || convertedHow == Range.END_TO_START
+          ? [range1.startContainer, range1.startOffset]
+          : [range1.endContainer, range1.endOffset];
+        var otherPoint = convertedHow == Range.START_TO_START || convertedHow == Range.START_TO_END
+          ? [range2.startContainer, range2.startOffset]
+          : [range2.endContainer, range2.endOffset];
+
+        // "If the position of this point relative to other point is
+        //   before
+        //     Return −1.
+        //   equal
+        //     Return 0.
+        //   after
+        //     Return 1."
+        var position = getPosition(thisPoint[0], thisPoint[1], otherPoint[0], otherPoint[1]);
+        var expected;
+        if (position == "before") {
+          expected = -1;
+        } else if (position == "equal") {
+          expected = 0;
+        } else if (position == "after") {
+          expected = 1;
+        }
+
+        assert_equals(range1.compareBoundaryPoints(how, range2), expected,
+          "Wrong return value");
+      }, i + "," + j + "," + k + ": context range " + range1Desc + ", argument range " + range2Desc + ", how " + format_value(how));
+    }
+  }
+}
+
+testDiv.style.display = "none";
+</script>