The methods below are non-standard and invented by me. Sharing a boundary start-to-end or end-to-start does not count as intersection.
function(range, touchingIsIntersecting) {
            assertRangeValid(this);

            if (getRangeDocument(range) != getRangeDocument(this)) {
                throw new DOMException("WRONG_DOCUMENT_ERR");
            }

            var startComparison = dom.comparePoints(this.startContainer, this.startOffset, range.endContainer, range.endOffset),
                endComparison = dom.comparePoints(this.endContainer, this.endOffset, range.startContainer, range.startOffset);

            return touchingIsIntersecting ? startComparison <= 0 && endComparison >= 0 : startComparison < 0 && endComparison > 0;
        }