rok commented on a change in pull request #9841:
URL: https://github.com/apache/arrow/pull/9841#discussion_r609144655



##########
File path: cpp/src/arrow/compute/kernels/scalar_arithmetic.cc
##########
@@ -233,6 +236,104 @@ struct DivideChecked {
   }
 };
 
+template <typename T>
+inline T integer_power(KernelContext* ctx, T left, T right) {
+  if (right < 0) {
+    ctx->SetStatus(
+        Status::Invalid("integers to negative integer powers are not 
allowed"));
+  }
+  T result = 1;
+  if (left == 0 && right != 0) {
+    return 0;
+  }
+  while (true) {
+    if (right % 2) {
+      result *= left;

Review comment:
       Weird - I've set the flag but don't get the overflow error locally, 
while [CI 
reports](https://github.com/apache/arrow/pull/9841/checks?check_run_id=2292038374#step:8:2054):
   ```
   [ RUN      ] TestBinaryArithmeticIntegral/2.Power
   /arrow/cpp/src/arrow/compute/kernels/scalar_arithmetic.cc:256:10: runtime 
error: signed integer overflow: 2147483647 * 2147483647 cannot be represented 
in type 'int'
   ```
   Any tips?




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