lidavidm commented on a change in pull request #10349:
URL: https://github.com/apache/arrow/pull/10349#discussion_r658733299



##########
File path: cpp/src/arrow/compute/kernels/scalar_arithmetic.cc
##########
@@ -454,6 +456,159 @@ struct PowerChecked {
   }
 };
 
+using RoundState = internal::OptionsWrapper<RoundOptions>;
+
+struct Round {
+  template <typename T, enable_if_t<std::is_floating_point<T>::value, bool> = 
true>
+  static constexpr bool ApproxEqual(T x, T y, int ulp = 8) {
+    // https://en.cppreference.com/w/cpp/types/numeric_limits/epsilon
+    // The machine epsilon has to be scaled to the magnitude of the values used
+    // and multiplied by the desired precision in ULPs (units in the last 
place)
+    return (std::fabs(x - y) <=
+            (std::numeric_limits<T>::epsilon() * std::fabs(x + y) * ulp))
+           // unless the result is subnormal
+           || (std::fabs(x - y) < std::numeric_limits<T>::min());
+  }
+
+  template <typename T, enable_if_t<std::is_floating_point<T>::value, bool> = 
true>
+  static constexpr bool IsHalf(T val) {
+    // |frac| == 0.5?
+    return ApproxEqual(std::fabs(std::fmod(val, T(1))), T(0.5));
+  }
+
+  template <typename T>
+  static constexpr enable_if_floating_point<T> RoundWithMultiple(T val, T 
mult) {
+    return (val / mult) * mult;
+  }
+
+  template <typename T>
+  static constexpr enable_if_floating_point<T> Floor(T val) {
+    return std::floor(val);
+  }
+
+  template <typename T>
+  static constexpr enable_if_floating_point<T> Ceiling(T val) {
+    return std::ceil(val);
+  }
+
+  template <typename T>
+  static constexpr enable_if_floating_point<T> Truncate(T val) {
+    return std::trunc(val);
+  }
+
+  template <typename T>
+  static constexpr enable_if_floating_point<T> TowardsInfinity(T val) {
+    return std::signbit(val) ? std::floor(val) : std::ceil(val);
+  }
+
+  template <typename T>
+  static constexpr enable_if_floating_point<T> HalfDown(T val) {
+    return std::ceil(val - T(0.5));
+  }
+
+  template <typename T>
+  static constexpr enable_if_floating_point<T> HalfUp(T val) {
+    return std::floor(val + T(0.5));
+  }
+
+  template <typename T>
+  static enable_if_floating_point<T> HalfToEven(T val) {
+    if (IsHalf(val)) {
+      auto floor = std::floor(val);
+      // Odd + 1, Even + 0
+      return floor + (std::fmod(std::fabs(floor), T(2)) >= T(1));
+    }
+    return std::round(val);
+  }
+
+  template <typename T>
+  static enable_if_floating_point<T> HalfToOdd(T val) {
+    if (IsHalf(val)) {
+      auto floor = std::floor(val);
+      // Odd + 0, Even + 1
+      return floor + (std::fmod(std::fabs(floor), T(2)) < T(1));
+    }
+    return std::round(val);
+  }
+
+  template <typename T>
+  static constexpr enable_if_floating_point<T> Nearest(T val) {
+    return std::round(val);
+  }
+
+  template <typename T>
+  static constexpr enable_if_floating_point<T> HalfTowardsZero(T val) {
+    return std::copysign(std::ceil(std::fabs(val) - T(0.5)), val);
+  }
+
+  template <typename T, typename Arg,
+            enable_if_t<std::is_integral<Arg>::value, bool> = true>
+  static constexpr enable_if_floating_point<T> Call(KernelContext* ctx, Arg 
arg,
+                                                    Status* st) {
+    return Call<T, T>(ctx, T(arg), st);
+  }
+
+  template <typename T, typename Arg,
+            enable_if_t<std::is_floating_point<Arg>::value, bool> = true>
+  static enable_if_floating_point<T> Call(KernelContext* ctx, Arg arg, Status* 
st) {
+    const RoundOptions& options = RoundState::Get(ctx);

Review comment:
       The default options instance needs to be declared static, e.g. see 
JoinOptions: 
https://github.com/apache/arrow/blob/c4a20e98a3294b32e51c879e927878e9fb6e799b/cpp/src/arrow/compute/kernels/scalar_string.cc#L3566
   
   Currently, the default options are allocated on the stack in 
RegisterScalarArithmetic and will go away when the function returns. Then when 
you call the function, it references the already-deallocated options and 
crashes.




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