[Enhancement] Refactor functions in int_exp by templates (#9939)
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@ -22,6 +22,34 @@
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#include <cstdint>
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#include <limits>
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#include <utility>
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namespace exp_details {
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// compile-time exp(v, n) by linear recursion
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template <typename T, T v, std::size_t n>
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constexpr inline const T exp = T(v) * exp<T, v, n - 1>;
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template <typename T, T v>
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constexpr inline const T exp<T, v, 0> = 1;
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// compile-time exponentiation table { exp(v, I) ... }
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template <typename T, T v, std::size_t... I>
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constexpr inline const T exp_table[] = {exp<T, v, I>...};
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// get value from compile-time exponentiation table by a (maybe) runtime offset
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template <typename T, T v, std::size_t... I>
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constexpr T get_exp_helper(std::size_t x, std::index_sequence<I...>) {
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return exp_table<T, v, I...>[x];
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}
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// get_exp_helper with table { exp(v, 0), exp(v, 1) ... exp(v, N - 1) }
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template <typename T, T v, std::size_t N>
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constexpr T get_exp(std::size_t x) {
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return get_exp_helper<T, v>(x, std::make_index_sequence<N> {});
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}
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} // namespace exp_details
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/// On overlow, the function returns unspecified value.
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@ -33,103 +61,21 @@ inline uint64_t int_exp10(int x) {
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if (x < 0) return 0;
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if (x > 19) return std::numeric_limits<uint64_t>::max();
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static const uint64_t table[20] = {1ULL,
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10ULL,
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100ULL,
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1000ULL,
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10000ULL,
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100000ULL,
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1000000ULL,
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10000000ULL,
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100000000ULL,
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1000000000ULL,
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10000000000ULL,
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100000000000ULL,
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1000000000000ULL,
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10000000000000ULL,
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100000000000000ULL,
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1000000000000000ULL,
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10000000000000000ULL,
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100000000000000000ULL,
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1000000000000000000ULL,
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10000000000000000000ULL};
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return table[x];
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return exp_details::get_exp<uint64_t, 10, 20>(x);
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}
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namespace common {
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inline int exp10_i32(int x) {
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static const int values[] = {1, 10, 100, 1000, 10000,
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100000, 1000000, 10000000, 100000000, 1000000000};
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return values[x];
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inline std::int32_t exp10_i32(int x) {
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return exp_details::get_exp<std::int32_t, 10, 10>(x);
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}
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inline int64_t exp10_i64(int x) {
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static const int64_t values[] = {1ll,
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10ll,
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100ll,
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1000ll,
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10000ll,
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100000ll,
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1000000ll,
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10000000ll,
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100000000ll,
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1000000000ll,
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10000000000ll,
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100000000000ll,
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1000000000000ll,
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10000000000000ll,
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100000000000000ll,
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1000000000000000ll,
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10000000000000000ll,
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100000000000000000ll,
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1000000000000000000ll};
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return values[x];
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inline std::int64_t exp10_i64(int x) {
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return exp_details::get_exp<std::int64_t, 10, 19>(x);
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}
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inline __int128 exp10_i128(int x) {
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static const __int128 values[] = {
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static_cast<__int128>(1ll),
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static_cast<__int128>(10ll),
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static_cast<__int128>(100ll),
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static_cast<__int128>(1000ll),
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static_cast<__int128>(10000ll),
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static_cast<__int128>(100000ll),
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static_cast<__int128>(1000000ll),
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static_cast<__int128>(10000000ll),
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static_cast<__int128>(100000000ll),
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static_cast<__int128>(1000000000ll),
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static_cast<__int128>(10000000000ll),
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static_cast<__int128>(100000000000ll),
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static_cast<__int128>(1000000000000ll),
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static_cast<__int128>(10000000000000ll),
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static_cast<__int128>(100000000000000ll),
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static_cast<__int128>(1000000000000000ll),
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static_cast<__int128>(10000000000000000ll),
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static_cast<__int128>(100000000000000000ll),
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static_cast<__int128>(1000000000000000000ll),
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static_cast<__int128>(1000000000000000000ll) * 10ll,
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static_cast<__int128>(1000000000000000000ll) * 100ll,
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static_cast<__int128>(1000000000000000000ll) * 1000ll,
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static_cast<__int128>(1000000000000000000ll) * 10000ll,
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static_cast<__int128>(1000000000000000000ll) * 100000ll,
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static_cast<__int128>(1000000000000000000ll) * 1000000ll,
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static_cast<__int128>(1000000000000000000ll) * 10000000ll,
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static_cast<__int128>(1000000000000000000ll) * 100000000ll,
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static_cast<__int128>(1000000000000000000ll) * 1000000000ll,
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static_cast<__int128>(1000000000000000000ll) * 10000000000ll,
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static_cast<__int128>(1000000000000000000ll) * 100000000000ll,
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static_cast<__int128>(1000000000000000000ll) * 1000000000000ll,
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static_cast<__int128>(1000000000000000000ll) * 10000000000000ll,
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static_cast<__int128>(1000000000000000000ll) * 100000000000000ll,
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static_cast<__int128>(1000000000000000000ll) * 1000000000000000ll,
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static_cast<__int128>(1000000000000000000ll) * 10000000000000000ll,
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static_cast<__int128>(1000000000000000000ll) * 100000000000000000ll,
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static_cast<__int128>(1000000000000000000ll) * 100000000000000000ll * 10ll,
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static_cast<__int128>(1000000000000000000ll) * 100000000000000000ll * 100ll,
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static_cast<__int128>(1000000000000000000ll) * 100000000000000000ll * 1000ll};
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return values[x];
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return exp_details::get_exp<__int128, 10, 39>(x);
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}
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} // namespace common
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