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-rw-r--r--absl/strings/numbers.cc440
1 files changed, 333 insertions, 107 deletions
diff --git a/absl/strings/numbers.cc b/absl/strings/numbers.cc
index b57d9e82..882c3a8b 100644
--- a/absl/strings/numbers.cc
+++ b/absl/strings/numbers.cc
@@ -20,7 +20,9 @@
#include <algorithm>
#include <cassert>
#include <cfloat> // for DBL_DIG and FLT_DIG
+#include <climits>
#include <cmath> // for HUGE_VAL
+#include <cstddef>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
@@ -28,6 +30,7 @@
#include <iterator>
#include <limits>
#include <system_error> // NOLINT(build/c++11)
+#include <type_traits>
#include <utility>
#include "absl/base/attributes.h"
@@ -156,28 +159,71 @@ constexpr uint32_t kTwoZeroBytes = 0x0101 * '0';
constexpr uint64_t kFourZeroBytes = 0x01010101 * '0';
constexpr uint64_t kEightZeroBytes = 0x0101010101010101ull * '0';
-// * 103 / 1024 is a division by 10 for values from 0 to 99. It's also a
-// division of a structure [k takes 2 bytes][m takes 2 bytes], then * 103 / 1024
-// will be [k / 10][m / 10]. It allows parallel division.
-constexpr uint64_t kDivisionBy10Mul = 103u;
+template <typename T>
+constexpr T Pow(T base, uint32_t n) {
+ // Exponentiation by squaring
+ return static_cast<T>((n > 1 ? Pow(base * base, n >> 1) : static_cast<T>(1)) *
+ ((n & 1) ? base : static_cast<T>(1)));
+}
+
+// Given n, calculates C where the following holds for all 0 <= x < Pow(100, n):
+// x / Pow(10, n) == x * C / Pow(2, n * 10)
+// In other words, it allows us to divide by a power of 10 via a single
+// multiplication and bit shifts, assuming the input will be smaller than the
+// square of that power of 10.
+template <typename T>
+constexpr T ComputePowerOf100DivisionCoefficient(uint32_t n) {
+ if (n > 4) {
+ // This doesn't work for large powers of 100, due to overflow
+ abort();
+ }
+ T denom = 16 - 1;
+ T num = (denom + 1) - 10;
+ T gcd = 3; // Greatest common divisor of numerator and denominator
+ denom = Pow(denom / gcd, n);
+ num = Pow(num / gcd, 9 * n);
+ T quotient = num / denom;
+ if (num % denom >= denom / 2) {
+ // Round up, since the remainder is more than half the denominator
+ ++quotient;
+ }
+ return quotient;
+}
+
+// * kDivisionBy10Mul / kDivisionBy10Div is a division by 10 for values from 0
+// to 99. It's also a division of a structure [k takes 2 bytes][m takes 2
+// bytes], then * kDivisionBy10Mul / kDivisionBy10Div will be [k / 10][m / 10].
+// It allows parallel division.
+constexpr uint64_t kDivisionBy10Mul =
+ ComputePowerOf100DivisionCoefficient<uint64_t>(1);
+static_assert(kDivisionBy10Mul == 103,
+ "division coefficient for 10 is incorrect");
constexpr uint64_t kDivisionBy10Div = 1 << 10;
-// * 10486 / 1048576 is a division by 100 for values from 0 to 9999.
-constexpr uint64_t kDivisionBy100Mul = 10486u;
+// * kDivisionBy100Mul / kDivisionBy100Div is a division by 100 for values from
+// 0 to 9999.
+constexpr uint64_t kDivisionBy100Mul =
+ ComputePowerOf100DivisionCoefficient<uint64_t>(2);
+static_assert(kDivisionBy100Mul == 10486,
+ "division coefficient for 100 is incorrect");
constexpr uint64_t kDivisionBy100Div = 1 << 20;
-// Encode functions write the ASCII output of input `n` to `out_str`.
-inline char* EncodeHundred(uint32_t n, absl::Nonnull<char*> out_str) {
- int num_digits = static_cast<int>(n - 10) >> 8;
- uint32_t div10 = (n * kDivisionBy10Mul) / kDivisionBy10Div;
- uint32_t mod10 = n - 10u * div10;
- uint32_t base = kTwoZeroBytes + div10 + (mod10 << 8);
- base >>= num_digits & 8;
- little_endian::Store16(out_str, static_cast<uint16_t>(base));
- return out_str + 2 + num_digits;
+static_assert(ComputePowerOf100DivisionCoefficient<uint64_t>(3) == 1073742,
+ "division coefficient for 1000 is incorrect");
+
+// Same as `PrepareEightDigits`, but produces 2 digits for integers < 100.
+inline uint32_t PrepareTwoDigitsImpl(uint32_t i, bool reversed) {
+ assert(i < 100);
+ uint32_t div10 = (i * kDivisionBy10Mul) / kDivisionBy10Div;
+ uint32_t mod10 = i - 10u * div10;
+ return (div10 << (reversed ? 8 : 0)) + (mod10 << (reversed ? 0 : 8));
+}
+inline uint32_t PrepareTwoDigits(uint32_t i) {
+ return PrepareTwoDigitsImpl(i, false);
}
-inline char* EncodeTenThousand(uint32_t n, absl::Nonnull<char*> out_str) {
+// Same as `PrepareEightDigits`, but produces 4 digits for integers < 10000.
+inline uint32_t PrepareFourDigitsImpl(uint32_t n, bool reversed) {
// We split lower 2 digits and upper 2 digits of n into 2 byte consecutive
// blocks. 123 -> [\0\1][\0\23]. We divide by 10 both blocks
// (it's 1 division + zeroing upper bits), and compute modulo 10 as well "in
@@ -185,22 +231,19 @@ inline char* EncodeTenThousand(uint32_t n, absl::Nonnull<char*> out_str) {
// strip trailing zeros, add ASCII '0000' and return.
uint32_t div100 = (n * kDivisionBy100Mul) / kDivisionBy100Div;
uint32_t mod100 = n - 100ull * div100;
- uint32_t hundreds = (mod100 << 16) + div100;
+ uint32_t hundreds =
+ (mod100 << (reversed ? 0 : 16)) + (div100 << (reversed ? 16 : 0));
uint32_t tens = (hundreds * kDivisionBy10Mul) / kDivisionBy10Div;
tens &= (0xFull << 16) | 0xFull;
- tens += (hundreds - 10ull * tens) << 8;
- ABSL_ASSUME(tens != 0);
- // The result can contain trailing zero bits, we need to strip them to a first
- // significant byte in a final representation. For example, for n = 123, we
- // have tens to have representation \0\1\2\3. We do `& -8` to round
- // to a multiple to 8 to strip zero bytes, not all zero bits.
- // countr_zero to help.
- // 0 minus 8 to make MSVC happy.
- uint32_t zeroes = static_cast<uint32_t>(absl::countr_zero(tens)) & (0 - 8u);
- tens += kFourZeroBytes;
- tens >>= zeroes;
- little_endian::Store32(out_str, tens);
- return out_str + sizeof(tens) - zeroes / 8;
+ tens = (tens << (reversed ? 8 : 0)) +
+ static_cast<uint32_t>((hundreds - 10ull * tens) << (reversed ? 0 : 8));
+ return tens;
+}
+inline uint32_t PrepareFourDigits(uint32_t n) {
+ return PrepareFourDigitsImpl(n, false);
+}
+inline uint32_t PrepareFourDigitsReversed(uint32_t n) {
+ return PrepareFourDigitsImpl(n, true);
}
// Helper function to produce an ASCII representation of `i`.
@@ -216,126 +259,309 @@ inline char* EncodeTenThousand(uint32_t n, absl::Nonnull<char*> out_str) {
// // Note two leading zeros:
// EXPECT_EQ(absl::string_view(ascii, 8), "00102030");
//
+// If `Reversed` is set to true, the result becomes reversed to "03020100".
+//
// Pre-condition: `i` must be less than 100000000.
-inline uint64_t PrepareEightDigits(uint32_t i) {
+inline uint64_t PrepareEightDigitsImpl(uint32_t i, bool reversed) {
ABSL_ASSUME(i < 10000'0000);
// Prepare 2 blocks of 4 digits "in parallel".
uint32_t hi = i / 10000;
uint32_t lo = i % 10000;
- uint64_t merged = hi | (uint64_t{lo} << 32);
+ uint64_t merged = (uint64_t{hi} << (reversed ? 32 : 0)) |
+ (uint64_t{lo} << (reversed ? 0 : 32));
uint64_t div100 = ((merged * kDivisionBy100Mul) / kDivisionBy100Div) &
((0x7Full << 32) | 0x7Full);
uint64_t mod100 = merged - 100ull * div100;
- uint64_t hundreds = (mod100 << 16) + div100;
+ uint64_t hundreds =
+ (mod100 << (reversed ? 0 : 16)) + (div100 << (reversed ? 16 : 0));
uint64_t tens = (hundreds * kDivisionBy10Mul) / kDivisionBy10Div;
tens &= (0xFull << 48) | (0xFull << 32) | (0xFull << 16) | 0xFull;
- tens += (hundreds - 10ull * tens) << 8;
+ tens = (tens << (reversed ? 8 : 0)) +
+ ((hundreds - 10ull * tens) << (reversed ? 0 : 8));
return tens;
}
+inline uint64_t PrepareEightDigits(uint32_t i) {
+ return PrepareEightDigitsImpl(i, false);
+}
+inline uint64_t PrepareEightDigitsReversed(uint32_t i) {
+ return PrepareEightDigitsImpl(i, true);
+}
-inline ABSL_ATTRIBUTE_ALWAYS_INLINE absl::Nonnull<char*> EncodeFullU32(
- uint32_t n, absl::Nonnull<char*> out_str) {
- if (n < 10) {
- *out_str = static_cast<char>('0' + n);
- return out_str + 1;
+template <typename T, typename BackwardIt>
+class FastUIntToStringConverter {
+ static_assert(
+ std::is_same<T, decltype(+std::declval<T>())>::value,
+ "to avoid code bloat, only instantiate this for int and larger types");
+ static_assert(std::is_unsigned<T>::value,
+ "this class is only for unsigned types");
+
+ public:
+ // Outputs the given number backward (like with std::copy_backward),
+ // starting from the end of the string.
+ // The number of digits in the number must have been already measured and
+ // passed *exactly*, otherwise the behavior is undefined.
+ // (This is an optimization, as calculating the number of digits again would
+ // slow down the hot path.)
+ // Returns an iterator to the start of the suffix that was appended.
+ static BackwardIt FastIntToBufferBackward(T v, BackwardIt end) {
+ // THIS IS A HOT FUNCTION with a very deliberate structure to exploit branch
+ // prediction and shorten the critical path for smaller numbers.
+ // Do not move around the if/else blocks or attempt to simplify it
+ // without benchmarking any changes.
+
+ if (v < 10) {
+ goto AT_LEAST_1 /* NOTE: mandatory for the 0 case */;
+ }
+ if (v < 1000) {
+ goto AT_LEAST_10;
+ }
+ if (v < 10000000) {
+ goto AT_LEAST_1000;
+ }
+
+ if (v >= 100000000 / 10) {
+ if (v >= 10000000000000000 / 10) {
+ DoFastIntToBufferBackward<8>(v, end);
+ }
+ DoFastIntToBufferBackward<8>(v, end);
+ }
+
+ if (v >= 10000 / 10) {
+ AT_LEAST_1000:
+ DoFastIntToBufferBackward<4>(v, end);
+ }
+
+ if (v >= 100 / 10) {
+ AT_LEAST_10:
+ DoFastIntToBufferBackward<2>(v, end);
+ }
+
+ if (v >= 10 / 10) {
+ AT_LEAST_1:
+ end = DoFastIntToBufferBackward(v, end, std::integral_constant<int, 1>());
+ }
+ return end;
}
- if (n < 100'000'000) {
- uint64_t bottom = PrepareEightDigits(n);
- ABSL_ASSUME(bottom != 0);
- // 0 minus 8 to make MSVC happy.
- uint32_t zeroes =
- static_cast<uint32_t>(absl::countr_zero(bottom)) & (0 - 8u);
- little_endian::Store64(out_str, (bottom + kEightZeroBytes) >> zeroes);
- return out_str + sizeof(bottom) - zeroes / 8;
+
+ private:
+ // Only assume pointers are contiguous for now. String and vector iterators
+ // could be special-cased as well, but there's no need for them here.
+ // With C++20 we can probably switch to std::contiguous_iterator_tag.
+ static constexpr bool kIsContiguousIterator =
+ std::is_pointer<BackwardIt>::value;
+
+ template <int Exponent>
+ static void DoFastIntToBufferBackward(T& v, BackwardIt& end) {
+ constexpr T kModulus = Pow<T>(10, Exponent);
+ T remainder = static_cast<T>(v % kModulus);
+ v = static_cast<T>(v / kModulus);
+ end = DoFastIntToBufferBackward(remainder, end,
+ std::integral_constant<int, Exponent>());
}
- uint32_t div08 = n / 100'000'000;
- uint32_t mod08 = n % 100'000'000;
- uint64_t bottom = PrepareEightDigits(mod08) + kEightZeroBytes;
- out_str = EncodeHundred(div08, out_str);
- little_endian::Store64(out_str, bottom);
- return out_str + sizeof(bottom);
-}
-inline ABSL_ATTRIBUTE_ALWAYS_INLINE char* EncodeFullU64(uint64_t i,
- char* buffer) {
- if (i <= std::numeric_limits<uint32_t>::max()) {
- return EncodeFullU32(static_cast<uint32_t>(i), buffer);
+ static BackwardIt DoFastIntToBufferBackward(const T&, BackwardIt end,
+ std::integral_constant<int, 0>) {
+ return end;
}
- uint32_t mod08;
- if (i < 1'0000'0000'0000'0000ull) {
- uint32_t div08 = static_cast<uint32_t>(i / 100'000'000ull);
- mod08 = static_cast<uint32_t>(i % 100'000'000ull);
- buffer = EncodeFullU32(div08, buffer);
- } else {
- uint64_t div08 = i / 100'000'000ull;
- mod08 = static_cast<uint32_t>(i % 100'000'000ull);
- uint32_t div016 = static_cast<uint32_t>(div08 / 100'000'000ull);
- uint32_t div08mod08 = static_cast<uint32_t>(div08 % 100'000'000ull);
- uint64_t mid_result = PrepareEightDigits(div08mod08) + kEightZeroBytes;
- buffer = EncodeTenThousand(div016, buffer);
- little_endian::Store64(buffer, mid_result);
- buffer += sizeof(mid_result);
+
+ static BackwardIt DoFastIntToBufferBackward(T v, BackwardIt end,
+ std::integral_constant<int, 1>) {
+ *--end = static_cast<char>('0' + v);
+ return DoFastIntToBufferBackward(v, end, std::integral_constant<int, 0>());
+ }
+
+ static BackwardIt DoFastIntToBufferBackward(T v, BackwardIt end,
+ std::integral_constant<int, 4>) {
+ if (kIsContiguousIterator) {
+ const uint32_t digits =
+ PrepareFourDigits(static_cast<uint32_t>(v)) + kFourZeroBytes;
+ end -= sizeof(digits);
+ little_endian::Store32(&*end, digits);
+ } else {
+ uint32_t digits =
+ PrepareFourDigitsReversed(static_cast<uint32_t>(v)) + kFourZeroBytes;
+ for (size_t i = 0; i < sizeof(digits); ++i) {
+ *--end = static_cast<char>(digits);
+ digits >>= CHAR_BIT;
+ }
+ }
+ return end;
}
- uint64_t mod_result = PrepareEightDigits(mod08) + kEightZeroBytes;
- little_endian::Store64(buffer, mod_result);
- return buffer + sizeof(mod_result);
+
+ static BackwardIt DoFastIntToBufferBackward(T v, BackwardIt end,
+ std::integral_constant<int, 8>) {
+ if (kIsContiguousIterator) {
+ const uint64_t digits =
+ PrepareEightDigits(static_cast<uint32_t>(v)) + kEightZeroBytes;
+ end -= sizeof(digits);
+ little_endian::Store64(&*end, digits);
+ } else {
+ uint64_t digits = PrepareEightDigitsReversed(static_cast<uint32_t>(v)) +
+ kEightZeroBytes;
+ for (size_t i = 0; i < sizeof(digits); ++i) {
+ *--end = static_cast<char>(digits);
+ digits >>= CHAR_BIT;
+ }
+ }
+ return end;
+ }
+
+ template <int Digits>
+ static BackwardIt DoFastIntToBufferBackward(
+ T v, BackwardIt end, std::integral_constant<int, Digits>) {
+ constexpr int kLogModulus = Digits - Digits / 2;
+ constexpr T kModulus = Pow(static_cast<T>(10), kLogModulus);
+ bool is_safe_to_use_division_trick = Digits <= 8;
+ T quotient, remainder;
+ if (is_safe_to_use_division_trick) {
+ constexpr uint64_t kCoefficient =
+ ComputePowerOf100DivisionCoefficient<uint64_t>(kLogModulus);
+ quotient = (v * kCoefficient) >> (10 * kLogModulus);
+ remainder = v - quotient * kModulus;
+ } else {
+ quotient = v / kModulus;
+ remainder = v % kModulus;
+ }
+ end = DoFastIntToBufferBackward(remainder, end,
+ std::integral_constant<int, kLogModulus>());
+ return DoFastIntToBufferBackward(
+ quotient, end, std::integral_constant<int, Digits - kLogModulus>());
+ }
+};
+
+// Returns an iterator to the start of the suffix that was appended
+template <typename T, typename BackwardIt>
+std::enable_if_t<std::is_unsigned<T>::value, BackwardIt>
+DoFastIntToBufferBackward(T v, BackwardIt end, uint32_t digits) {
+ using PromotedT = std::decay_t<decltype(+v)>;
+ using Converter = FastUIntToStringConverter<PromotedT, BackwardIt>;
+ (void)digits;
+ return Converter().FastIntToBufferBackward(v, end);
+}
+
+template <typename T, typename BackwardIt>
+std::enable_if_t<std::is_signed<T>::value, BackwardIt>
+DoFastIntToBufferBackward(T v, BackwardIt end, uint32_t digits) {
+ if (absl::numbers_internal::IsNegative(v)) {
+ // Store the minus sign *before* we produce the number itself, not after.
+ // This gets us a tail call.
+ end[-static_cast<ptrdiff_t>(digits) - 1] = '-';
+ }
+ return DoFastIntToBufferBackward(
+ absl::numbers_internal::UnsignedAbsoluteValue(v), end, digits);
+}
+
+template <class T>
+std::enable_if_t<std::is_integral<T>::value, int>
+GetNumDigitsOrNegativeIfNegativeImpl(T v) {
+ const auto /* either bool or std::false_type */ is_negative =
+ absl::numbers_internal::IsNegative(v);
+ const int digits = static_cast<int>(absl::numbers_internal::Base10Digits(
+ absl::numbers_internal::UnsignedAbsoluteValue(v)));
+ return is_negative ? ~digits : digits;
}
} // namespace
void numbers_internal::PutTwoDigits(uint32_t i, absl::Nonnull<char*> buf) {
- assert(i < 100);
- uint32_t base = kTwoZeroBytes;
- uint32_t div10 = (i * kDivisionBy10Mul) / kDivisionBy10Div;
- uint32_t mod10 = i - 10u * div10;
- base += div10 + (mod10 << 8);
- little_endian::Store16(buf, static_cast<uint16_t>(base));
+ little_endian::Store16(
+ buf, static_cast<uint16_t>(PrepareTwoDigits(i) + kTwoZeroBytes));
}
absl::Nonnull<char*> numbers_internal::FastIntToBuffer(
- uint32_t n, absl::Nonnull<char*> out_str) {
- out_str = EncodeFullU32(n, out_str);
- *out_str = '\0';
- return out_str;
+ uint32_t i, absl::Nonnull<char*> buffer) {
+ const uint32_t digits = absl::numbers_internal::Base10Digits(i);
+ buffer += digits;
+ *buffer = '\0'; // We're going backward, so store this first
+ FastIntToBufferBackward(i, buffer, digits);
+ return buffer;
}
absl::Nonnull<char*> numbers_internal::FastIntToBuffer(
int32_t i, absl::Nonnull<char*> buffer) {
- uint32_t u = static_cast<uint32_t>(i);
- if (i < 0) {
- *buffer++ = '-';
- // We need to do the negation in modular (i.e., "unsigned")
- // arithmetic; MSVC++ apparently warns for plain "-u", so
- // we write the equivalent expression "0 - u" instead.
- u = 0 - u;
- }
- buffer = EncodeFullU32(u, buffer);
- *buffer = '\0';
+ buffer += static_cast<int>(i < 0);
+ uint32_t digits = absl::numbers_internal::Base10Digits(
+ absl::numbers_internal::UnsignedAbsoluteValue(i));
+ buffer += digits;
+ *buffer = '\0'; // We're going backward, so store this first
+ FastIntToBufferBackward(i, buffer, digits);
return buffer;
}
absl::Nonnull<char*> numbers_internal::FastIntToBuffer(
uint64_t i, absl::Nonnull<char*> buffer) {
- buffer = EncodeFullU64(i, buffer);
- *buffer = '\0';
+ uint32_t digits = absl::numbers_internal::Base10Digits(i);
+ buffer += digits;
+ *buffer = '\0'; // We're going backward, so store this first
+ FastIntToBufferBackward(i, buffer, digits);
return buffer;
}
absl::Nonnull<char*> numbers_internal::FastIntToBuffer(
int64_t i, absl::Nonnull<char*> buffer) {
- uint64_t u = static_cast<uint64_t>(i);
- if (i < 0) {
- *buffer++ = '-';
- // We need to do the negation in modular (i.e., "unsigned")
- // arithmetic; MSVC++ apparently warns for plain "-u", so
- // we write the equivalent expression "0 - u" instead.
- u = 0 - u;
- }
- buffer = EncodeFullU64(u, buffer);
- *buffer = '\0';
+ buffer += static_cast<int>(i < 0);
+ uint32_t digits = absl::numbers_internal::Base10Digits(
+ absl::numbers_internal::UnsignedAbsoluteValue(i));
+ buffer += digits;
+ *buffer = '\0'; // We're going backward, so store this first
+ FastIntToBufferBackward(i, buffer, digits);
return buffer;
}
+absl::Nonnull<char*> numbers_internal::FastIntToBufferBackward(
+ uint32_t i, absl::Nonnull<char*> buffer_end, uint32_t exact_digit_count) {
+ return DoFastIntToBufferBackward(i, buffer_end, exact_digit_count);
+}
+
+absl::Nonnull<char*> numbers_internal::FastIntToBufferBackward(
+ int32_t i, absl::Nonnull<char*> buffer_end, uint32_t exact_digit_count) {
+ return DoFastIntToBufferBackward(i, buffer_end, exact_digit_count);
+}
+
+absl::Nonnull<char*> numbers_internal::FastIntToBufferBackward(
+ uint64_t i, absl::Nonnull<char*> buffer_end, uint32_t exact_digit_count) {
+ return DoFastIntToBufferBackward(i, buffer_end, exact_digit_count);
+}
+
+absl::Nonnull<char*> numbers_internal::FastIntToBufferBackward(
+ int64_t i, absl::Nonnull<char*> buffer_end, uint32_t exact_digit_count) {
+ return DoFastIntToBufferBackward(i, buffer_end, exact_digit_count);
+}
+
+int numbers_internal::GetNumDigitsOrNegativeIfNegative(signed char v) {
+ return GetNumDigitsOrNegativeIfNegativeImpl(v);
+}
+int numbers_internal::GetNumDigitsOrNegativeIfNegative(unsigned char v) {
+ return GetNumDigitsOrNegativeIfNegativeImpl(v);
+}
+int numbers_internal::GetNumDigitsOrNegativeIfNegative(short v) { // NOLINT
+ return GetNumDigitsOrNegativeIfNegativeImpl(v);
+}
+int numbers_internal::GetNumDigitsOrNegativeIfNegative(
+ unsigned short v) { // NOLINT
+ return GetNumDigitsOrNegativeIfNegativeImpl(v);
+}
+int numbers_internal::GetNumDigitsOrNegativeIfNegative(int v) {
+ return GetNumDigitsOrNegativeIfNegativeImpl(v);
+}
+int numbers_internal::GetNumDigitsOrNegativeIfNegative(unsigned int v) {
+ return GetNumDigitsOrNegativeIfNegativeImpl(v);
+}
+int numbers_internal::GetNumDigitsOrNegativeIfNegative(long v) { // NOLINT
+ return GetNumDigitsOrNegativeIfNegativeImpl(v);
+}
+int numbers_internal::GetNumDigitsOrNegativeIfNegative(
+ unsigned long v) { // NOLINT
+ return GetNumDigitsOrNegativeIfNegativeImpl(v);
+}
+int numbers_internal::GetNumDigitsOrNegativeIfNegative(long long v) { // NOLINT
+ return GetNumDigitsOrNegativeIfNegativeImpl(v);
+}
+int numbers_internal::GetNumDigitsOrNegativeIfNegative(
+ unsigned long long v) { // NOLINT
+ return GetNumDigitsOrNegativeIfNegativeImpl(v);
+}
+
// Given a 128-bit number expressed as a pair of uint64_t, high half first,
// return that number multiplied by the given 32-bit value. If the result is
// too large to fit in a 128-bit number, divide it by 2 until it fits.