cyb70289 commented on a change in pull request #9841:
URL: https://github.com/apache/arrow/pull/9841#discussion_r608292204



##########
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;
+    }
+    right /= 2;
+    if (!right) {
+      break;
+    }
+    left *= left;
+  }
+  return result;
+}
+
+template <typename T, typename Arg0, typename Arg1>
+inline T integer_power_checked(KernelContext* ctx, Arg0 left, Arg1 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) {
+      if (ARROW_PREDICT_FALSE(MultiplyWithOverflow(result, left, &result))) {
+        ctx->SetStatus(Status::Invalid("overflow"));
+      }
+    }
+    right /= 2;
+    if (!right) {
+      break;
+    }
+    if (ARROW_PREDICT_FALSE(MultiplyWithOverflow(left, left, &left))) {
+      ctx->SetStatus(Status::Invalid("overflow"));
+    }
+  }
+  return result;
+}
+
+template <typename T, typename Arg0, typename Arg1>
+inline T power(KernelContext* ctx, Arg0 left, Arg1 right) {
+  if (left == 0 && right < 0) {
+    ctx->SetStatus(Status::Invalid("divide by zero"));
+  }
+  if (left == 0 && right != 0) {
+    return 0;
+  }
+  return pow(left, right);

Review comment:
       Just call `std::pow(left, right)`, leave the decision to the standard 
library.
   It says `0^-1 = inf`, `0^0 = 1`. It's fine. Our invention is no better than 
that.

##########
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:
       Please do check the UBSAN CI failure. I think it's caused by signed 
integer overflow in this function. You can enable UBSAN check on your local 
host with `cmake -DARROW_USE_UBSAN=ON ....`.

##########
File path: cpp/src/arrow/compute/api_scalar.cc
##########
@@ -44,14 +44,16 @@ namespace compute {
 #define SCALAR_ARITHMETIC_BINARY(NAME, REGISTRY_NAME, REGISTRY_CHECKED_NAME)   
        \
   Result<Datum> NAME(const Datum& left, const Datum& right, ArithmeticOptions 
options, \
                      ExecContext* ctx) {                                       
        \
-    auto func_name = (options.check_overflow) ? REGISTRY_CHECKED_NAME : 
REGISTRY_NAME; \
+    std::string func_name =                                                    
        \
+        (options.check_overflow) ? REGISTRY_CHECKED_NAME : REGISTRY_NAME;      
        \

Review comment:
       Please restore this line




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