edponce commented on a change in pull request #10349:
URL: https://github.com/apache/arrow/pull/10349#discussion_r704874792



##########
File path: cpp/src/arrow/compute/kernels/scalar_arithmetic.cc
##########
@@ -852,24 +854,232 @@ struct LogbChecked {
   }
 };
 
+struct RoundUtil {
+  template <typename T>
+  static constexpr enable_if_t<std::is_floating_point<T>::value, bool> 
IsApproxEqual(
+      const T a, const T b, const T abs_tol = kDefaultAbsoluteTolerance) {
+    return std::fabs(a - b) <= abs_tol;
+  }
+
+  template <typename T>
+  static constexpr enable_if_t<std::is_floating_point<T>::value, bool> 
IsApproxInt(
+      const T val, const T abs_tol = kDefaultAbsoluteTolerance) {
+    // |frac| ~ 0.0?
+    return IsApproxEqual(val, std::round(val), abs_tol);
+  }
+
+  template <typename T>
+  static constexpr enable_if_t<std::is_floating_point<T>::value, bool> 
IsApproxHalfInt(
+      const T val, const T abs_tol = kDefaultAbsoluteTolerance) {
+    // |frac| ~ 0.5?
+    return IsApproxEqual(val - std::floor(val), T(0.5), abs_tol);
+  }
+
+  template <typename T>
+  static enable_if_floating_point<T> Pow10(const int64_t power) {
+    const T lut[]{1e0F,  1e1F,  1e2F,  1e3F,  1e4F,  1e5F,  1e6F,  1e7F,
+                  1e8F,  1e9F,  1e10F, 1e11F, 1e12F, 1e13F, 1e14F, 1e15F,
+                  1e16F, 1e17F, 1e18F, 1e19F, 1e20F, 1e21F, 1e22F};
+    // Return NaN if index is out-of-range.
+    auto lut_size = (int64_t)(sizeof(lut) / sizeof(*lut));
+    return (power >= 0 && power < lut_size) ? lut[power] : std::nanf("");
+  }
+};
+
+// Specializations of rounding implementations for round kernels
+template <typename T, RoundMode>
+struct RoundImpl {};
+
+template <typename T>
+struct RoundImpl<T, RoundMode::DOWN> {
+  static constexpr enable_if_floating_point<T> Round(const T val) {
+    return std::floor(val);
+  }
+};
+
+template <typename T>
+struct RoundImpl<T, RoundMode::UP> {
+  static constexpr enable_if_floating_point<T> Round(const T val) {
+    return std::ceil(val);
+  }
+};
+
+template <typename T>
+struct RoundImpl<T, RoundMode::TOWARDS_ZERO> {
+  static constexpr enable_if_floating_point<T> Round(const T val) {
+    return std::signbit(val) ? std::ceil(val) : std::floor(val);
+  }
+};
+
+template <typename T>
+struct RoundImpl<T, RoundMode::TOWARDS_INFINITY> {
+  static constexpr enable_if_floating_point<T> Round(const T val) {
+    return std::signbit(val) ? std::floor(val) : std::ceil(val);
+  }
+};
+
+template <typename T>
+struct RoundImpl<T, RoundMode::HALF_DOWN> {
+  static constexpr enable_if_floating_point<T> Round(const T val) {
+    return RoundImpl<T, RoundMode::DOWN>::Round(val);
+  }
+};
+
+template <typename T>
+struct RoundImpl<T, RoundMode::HALF_UP> {
+  static constexpr enable_if_floating_point<T> Round(const T val) {
+    return RoundImpl<T, RoundMode::UP>::Round(val);
+  }
+};
+
+template <typename T>
+struct RoundImpl<T, RoundMode::HALF_TOWARDS_ZERO> {
+  static constexpr enable_if_floating_point<T> Round(const T val) {
+    return RoundImpl<T, RoundMode::TOWARDS_ZERO>::Round(val);
+  }
+};
+
+template <typename T>
+struct RoundImpl<T, RoundMode::HALF_TOWARDS_INFINITY> {
+  static constexpr enable_if_floating_point<T> Round(const T val) {
+    return RoundImpl<T, RoundMode::TOWARDS_INFINITY>::Round(val);
+  }
+};
+
+template <typename T>
+struct RoundImpl<T, RoundMode::HALF_TO_EVEN> {
+  static constexpr enable_if_floating_point<T> Round(const T val) {
+    return std::round(val * T(0.5)) * 2;
+  }
+};
+
+template <typename T>
+struct RoundImpl<T, RoundMode::HALF_TO_ODD> {
+  static constexpr enable_if_floating_point<T> Round(const T val) {
+    return std::floor(val * T(0.5)) + std::ceil(val * T(0.5));
+  }
+};
+
+template <RoundMode RndMode>
+struct Round {
+  using RoundState = OptionsWrapper<RoundOptions>;
+
+  template <typename T, typename Arg>
+  static enable_if_floating_point<Arg, T> Call(KernelContext* ctx, Arg arg, 
Status* st) {
+    static_assert(std::is_same<T, Arg>::value, "");
+    static_assert(RoundMode::HALF_DOWN > RoundMode::DOWN &&
+                      RoundMode::HALF_DOWN > RoundMode::UP &&
+                      RoundMode::HALF_DOWN > RoundMode::TOWARDS_ZERO &&
+                      RoundMode::HALF_DOWN > RoundMode::TOWARDS_INFINITY &&
+                      RoundMode::HALF_DOWN < RoundMode::HALF_UP &&
+                      RoundMode::HALF_DOWN < RoundMode::HALF_TOWARDS_ZERO &&
+                      RoundMode::HALF_DOWN < RoundMode::HALF_TOWARDS_INFINITY 
&&
+                      RoundMode::HALF_DOWN < RoundMode::HALF_TO_EVEN &&
+                      RoundMode::HALF_DOWN < RoundMode::HALF_TO_ODD,
+                  "Round modes prefixed with HALF need to be defined last in 
enum and "
+                  "the first HALF entry has to be HALF_DOWN.");
+
+    auto options = RoundState::Get(ctx);
+    auto pow10 = RoundUtil::Pow10<T>(std::llabs(options.ndigits));
+    if (std::isnan(pow10)) {
+      *st = Status::Invalid("out-of-range value for rounding digits");
+      return arg;

Review comment:
       I was able to solve this issue by creating and specializing 
`RoundOptionsWrapper` (which is a `KernelState`) to:
   * validate the `multiple` option of `round_to_multiple` in `Init()`
   * extend kernel state with `pow10` data member for `round`




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