Github user zuyu commented on a diff in the pull request:

    https://github.com/apache/incubator-quickstep/pull/217#discussion_r107980470
  
    --- Diff: catalog/PartitionSchemeHeader.hpp ---
    @@ -288,22 +310,46 @@ class RangePartitionSchemeHeader : public 
PartitionSchemeHeader {
        * @brief Check if the partition range boundaries are in ascending order.
        **/
       void checkPartitionRangeBoundaries() {
    +    for (const PartitionValues &partition_range_boundary : 
partition_range_boundaries_) {
    +      CHECK_EQ(partition_attribute_ids_.size(), 
partition_range_boundary.size())
    +          << "A partition boundary has different size than that of 
partition attributes.";
    +    }
    +
         for (partition_id part_id = 1; part_id < 
partition_range_boundaries_.size(); ++part_id) {
    -      if (less_unchecked_comparator_->compareTypedValues(
    -              partition_range_boundaries_[part_id],
    -              partition_range_boundaries_[part_id - 1])) {
    -        LOG(FATAL) << "Partition boundaries are not in ascending order.";
    +      CHECK(lessThan(partition_range_boundaries_[part_id - 1], 
partition_range_boundaries_[part_id]))
    +          << "Partition boundaries are not in ascending order.";
    +    }
    +  }
    +
    +  bool lessThan(const PartitionValues &lhs, const PartitionValues &rhs) 
const {
    +    DCHECK_EQ(partition_attribute_ids_.size(), lhs.size());
    +    DCHECK_EQ(partition_attribute_ids_.size(), rhs.size());
    +
    +    for (std::size_t attr_index = 0; attr_index < 
partition_attribute_ids_.size(); ++attr_index) {
    +      if 
(less_unchecked_comparators_[attr_index]->compareTypedValues(lhs[attr_index], 
rhs[attr_index])) {
    +        break;
    --- End diff --
    
    We use [lexicographical 
order](https://en.wikipedia.org/wiki/Lexicographical_order) here, `Given two 
different sequences of the same length, a1a2...ak and b1b2...bk, the first one 
is smaller than the second one for the lexicographical order, if ai<bi (for the 
order of A), for the first i where ai and bi differ.`


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