sgilmore10 opened a new pull request, #37579:
URL: https://github.com/apache/arrow/pull/37579

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   ### Rationale for this change
   
   `ChunkedArray::Equals(const std::shared_ptr<ChunkedArray>& other)` assumes 
that if the two `ChunkedArray`s share the same memory address, then they must 
be equal. However, this optimization doesn't take into account that `NaN` 
values are not considered equal by default. Consequently, this can lead to 
surprising, inconsistent results from a user's perspective. For example, 
`ChunkedArray::Equals(const std::shared_ptr<ChunkedArray>& other)`  and 
`ChunkedArray::Equals(const ChunkedArray& other)` may return different results.
   
    The program below illustrates this inconsistency:
   
   ```c++
   #include <arrow/api.h>
   #include <arrow/type.h>
   
   #include <iostream>
   #include <math.h>
   #include <sstream>
   
   arrow::Result<std::shared_ptr<arrow::ChunkedArray>> make_chunked_array() {
       arrow::NumericBuilder<arrow::DoubleType> builder;
       
       std::shared_ptr<arrow::Array> array;
       ARROW_RETURN_NOT_OK(builder.AppendValues({0, 1, NAN, 2, 4}));
       ARROW_RETURN_NOT_OK(builder.Finish(&array));
       
       return arrow::ChunkedArray::Make({array});
   }
   
   int main(int argc, char *argv[])
   {
       auto maybe_chunked_array = make_chunked_array();
       if (!maybe_chunked_array.ok()) {
           return -1;
       }
       auto chunked_array = std::move(maybe_chunked_array).ValueUnsafe();
       auto array = chunked_array->chunk(0);
       
       std::stringstream stream;
   
       stream << "chunked_array contents: ";
       stream << "\n\n";
       stream << chunked_array->ToString();
       stream << "\n\n";
       stream << "chunked_array->Equals(chunked_array): ";
       stream << chunked_array->Equals(chunked_array);
       stream << "chunked_array->Equals(*chunked_array): ";
       stream << chunked_array->Equals(*chunked_array);
       
       std::cout << stream.str() << std::endl;
   }
   ```
   
   Here is the output of this program:
   
   ```shell
   chunked_array contents: 
   
   [
     [
       0,
       1,
       nan,
       2,
       4
     ]
   ]
   
   chunked_array->Equals(chunked_array): 1
   chunked_array->Equals(*chunked_array): 0
   ```
   
   ### What changes are included in this PR?
   
   Updated `ChunkedArray::Equals(const std::shared_ptr<ChunkedArray>& other)` 
to only return `true` early IF:
      - The two share the same address AND
      - They cannot have `NaN` values 
   
   If both of those conditions are not satisfied, `ChunkedArray::Equals(const 
std::shared_ptr<ChunkedArray>& other)` will do the element-by-element 
comparison.
   
   ### Are these changes tested?
   
   Yes. I added a new test case called `EqualsSameAddressWithNaNs` to 
`chunked_array_test.cc`.
   
   ### Are there any user-facing changes?
   
   Yes. `ChunkedArray::Equals(const std::shared_ptr<arrow::ChunkedArray>& 
other)` may return `false` even if the two `ChunkedArray`s have the same memory 
address. This will only occur if the `ChunkedArray`'s contain `NaN` values.
   
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