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authorGravatar Benjamin Barenblat <bbaren@google.com>2023-09-07 13:16:09 -0400
committerGravatar Benjamin Barenblat <bbaren@google.com>2023-09-07 13:16:09 -0400
commit6fdbff8bbce2a1debdc060df381f39e3dcfb65af (patch)
tree71f1ef38477a65d5cce472fc042c90087c2bb351 /absl/strings/numbers.cc
parent8d4a80fe37176b1170d7dce0772dea9584ec3e32 (diff)
parent29bf8085f3bf17b84d30e34b3d7ff8248fda404e (diff)
Merge new upstream LTS 20230802.0
Diffstat (limited to 'absl/strings/numbers.cc')
-rw-r--r--absl/strings/numbers.cc276
1 files changed, 154 insertions, 122 deletions
diff --git a/absl/strings/numbers.cc b/absl/strings/numbers.cc
index 2987158e..c43c6bcc 100644
--- a/absl/strings/numbers.cc
+++ b/absl/strings/numbers.cc
@@ -31,7 +31,9 @@
#include <utility>
#include "absl/base/attributes.h"
+#include "absl/base/internal/endian.h"
#include "absl/base/internal/raw_logging.h"
+#include "absl/base/optimization.h"
#include "absl/numeric/bits.h"
#include "absl/strings/ascii.h"
#include "absl/strings/charconv.h"
@@ -136,82 +138,132 @@ bool SimpleAtob(absl::string_view str, bool* out) {
namespace {
-// Used to optimize printing a decimal number's final digit.
-const char one_ASCII_final_digits[10][2] {
- {'0', 0}, {'1', 0}, {'2', 0}, {'3', 0}, {'4', 0},
- {'5', 0}, {'6', 0}, {'7', 0}, {'8', 0}, {'9', 0},
-};
+// Various routines to encode integers to strings.
+
+// We split data encodings into a group of 2 digits, 4 digits, 8 digits as
+// it's easier to combine powers of two into scalar arithmetic.
+
+// Previous implementation used a lookup table of 200 bytes for every 2 bytes
+// and it was memory bound, any L1 cache miss would result in a much slower
+// result. When benchmarking with a cache eviction rate of several percent,
+// this implementation proved to be better.
+
+// These constants represent '00', '0000' and '00000000' as ascii strings in
+// integers. We can add these numbers if we encode to bytes from 0 to 9. as
+// 'i' = '0' + i for 0 <= i <= 9.
+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;
+constexpr uint64_t kDivisionBy10Div = 1 << 10;
+
+// * 10486 / 1048576 is a division by 100 for values from 0 to 9999.
+constexpr uint64_t kDivisionBy100Mul = 10486u;
+constexpr uint64_t kDivisionBy100Div = 1 << 20;
+
+// Encode functions write the ASCII output of input `n` to `out_str`.
+inline char* EncodeHundred(uint32_t n, char* out_str) {
+ int num_digits = static_cast<int>(n - 10) >> 8;
+ uint32_t base = kTwoZeroBytes;
+ uint32_t div10 = (n * kDivisionBy10Mul) / kDivisionBy10Div;
+ uint32_t mod10 = n - 10u * div10;
+ base += div10 + (mod10 << 8);
+ base >>= num_digits & 8;
+ little_endian::Store16(out_str, static_cast<uint16_t>(base));
+ return out_str + 2 + num_digits;
+}
-} // namespace
+inline char* EncodeTenThousand(uint32_t n, char* out_str) {
+ // 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
+ // parallel". Then we combine both results to have both ASCII digits,
+ // 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 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 - 8ull);
+ tens += kFourZeroBytes;
+ tens >>= zeroes;
+ little_endian::Store32(out_str, tens);
+ return out_str + sizeof(tens) - zeroes / 8;
+}
-char* numbers_internal::FastIntToBuffer(uint32_t i, char* buffer) {
- uint32_t digits;
- // The idea of this implementation is to trim the number of divides to as few
- // as possible, and also reducing memory stores and branches, by going in
- // steps of two digits at a time rather than one whenever possible.
- // The huge-number case is first, in the hopes that the compiler will output
- // that case in one branch-free block of code, and only output conditional
- // branches into it from below.
- if (i >= 1000000000) { // >= 1,000,000,000
- digits = i / 100000000; // 100,000,000
- i -= digits * 100000000;
- PutTwoDigits(digits, buffer);
- buffer += 2;
- lt100_000_000:
- digits = i / 1000000; // 1,000,000
- i -= digits * 1000000;
- PutTwoDigits(digits, buffer);
- buffer += 2;
- lt1_000_000:
- digits = i / 10000; // 10,000
- i -= digits * 10000;
- PutTwoDigits(digits, buffer);
- buffer += 2;
- lt10_000:
- digits = i / 100;
- i -= digits * 100;
- PutTwoDigits(digits, buffer);
- buffer += 2;
- lt100:
- digits = i;
- PutTwoDigits(digits, buffer);
- buffer += 2;
- *buffer = 0;
- return buffer;
- }
+// Prepare functions return an integer that should be written to out_str
+// (but possibly include trailing zeros).
+// For hi < 10000, lo < 10000 returns uint64_t as encoded in ASCII with
+// possibly trailing zeroes of the number hi * 10000 + lo.
+inline uint64_t PrepareTenThousands(uint64_t hi, uint64_t lo) {
+ uint64_t merged = hi | (lo << 32);
+ uint64_t div100 = ((merged * kDivisionBy100Mul) / kDivisionBy100Div) &
+ ((0x7Full << 32) | 0x7Full);
+ uint64_t mod100 = merged - 100ull * div100;
+ uint64_t hundreds = (mod100 << 16) + div100;
+ uint64_t tens = (hundreds * kDivisionBy10Mul) / kDivisionBy10Div;
+ tens &= (0xFull << 48) | (0xFull << 32) | (0xFull << 16) | 0xFull;
+ tens += (hundreds - 10ull * tens) << 8;
+ return tens;
+}
- if (i < 100) {
- digits = i;
- if (i >= 10) goto lt100;
- memcpy(buffer, one_ASCII_final_digits[i], 2);
- return buffer + 1;
+inline char* EncodeFullU32(uint32_t n, char* out_str) {
+ if (n < 100'000'000) {
+ uint64_t bottom = PrepareTenThousands(n / 10000, n % 10000);
+ ABSL_ASSUME(bottom != 0);
+ // 0 minus 8 to make MSVC happy.
+ uint32_t zeroes = static_cast<uint32_t>(absl::countr_zero(bottom))
+ & (0 - 8ull);
+ uint64_t bottom_res = bottom + kEightZeroBytes;
+ bottom_res >>= zeroes;
+ little_endian::Store64(out_str, bottom_res);
+ return out_str + sizeof(bottom) - zeroes / 8;
}
- if (i < 10000) { // 10,000
- if (i >= 1000) goto lt10_000;
- digits = i / 100;
- i -= digits * 100;
- *buffer++ = '0' + static_cast<char>(digits);
- goto lt100;
- }
- if (i < 1000000) { // 1,000,000
- if (i >= 100000) goto lt1_000_000;
- digits = i / 10000; // 10,000
- i -= digits * 10000;
- *buffer++ = '0' + static_cast<char>(digits);
- goto lt10_000;
+ uint32_t top = n / 100'000'000;
+ n %= 100'000'000;
+ uint64_t bottom = PrepareTenThousands(n / 10000, n % 10000);
+ uint64_t bottom_res = bottom + kEightZeroBytes;
+ out_str = EncodeHundred(top, out_str);
+ little_endian::Store64(out_str, bottom_res);
+ return out_str + sizeof(bottom);
+}
+
+} // namespace
+
+void numbers_internal::PutTwoDigits(uint32_t i, 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));
+}
+
+char* numbers_internal::FastIntToBuffer(uint32_t n, char* out_str) {
+ if (n < 100) {
+ out_str = EncodeHundred(n, out_str);
+ goto set_last_zero;
}
- if (i < 100000000) { // 100,000,000
- if (i >= 10000000) goto lt100_000_000;
- digits = i / 1000000; // 1,000,000
- i -= digits * 1000000;
- *buffer++ = '0' + static_cast<char>(digits);
- goto lt1_000_000;
+ if (n < 10000) {
+ out_str = EncodeTenThousand(n, out_str);
+ goto set_last_zero;
}
- // we already know that i < 1,000,000,000
- digits = i / 100000000; // 100,000,000
- i -= digits * 100000000;
- *buffer++ = '0' + static_cast<char>(digits);
- goto lt100_000_000;
+ out_str = EncodeFullU32(n, out_str);
+set_last_zero:
+ *out_str = '\0';
+ return out_str;
}
char* numbers_internal::FastIntToBuffer(int32_t i, char* buffer) {
@@ -219,7 +271,7 @@ char* numbers_internal::FastIntToBuffer(int32_t i, char* buffer) {
if (i < 0) {
*buffer++ = '-';
// We need to do the negation in modular (i.e., "unsigned")
- // arithmetic; MSVC++ apprently warns for plain "-u", so
+ // arithmetic; MSVC++ apparently warns for plain "-u", so
// we write the equivalent expression "0 - u" instead.
u = 0 - u;
}
@@ -230,41 +282,40 @@ char* numbers_internal::FastIntToBuffer(uint64_t i, char* buffer) {
uint32_t u32 = static_cast<uint32_t>(i);
if (u32 == i) return numbers_internal::FastIntToBuffer(u32, buffer);
- // Here we know i has at least 10 decimal digits.
- uint64_t top_1to11 = i / 1000000000;
- u32 = static_cast<uint32_t>(i - top_1to11 * 1000000000);
- uint32_t top_1to11_32 = static_cast<uint32_t>(top_1to11);
+ // 10**9 < 2**32 <= i < 10**10, we can do 2+8
+ uint64_t div08 = i / 100'000'000ull;
+ uint64_t mod08 = i % 100'000'000ull;
+ uint64_t mod_result =
+ PrepareTenThousands(mod08 / 10000, mod08 % 10000) + kEightZeroBytes;
+ if (i < 10'000'000'000ull) {
+ buffer = EncodeHundred(static_cast<uint32_t>(div08), buffer);
+ little_endian::Store64(buffer, mod_result);
+ buffer += 8;
+ goto set_last_zero;
+ }
- if (top_1to11_32 == top_1to11) {
- buffer = numbers_internal::FastIntToBuffer(top_1to11_32, buffer);
+ // i < 10**16, in this case 8+8
+ if (i < 10'000'000'000'000'000ull) {
+ buffer = EncodeFullU32(static_cast<uint32_t>(div08), buffer);
+ little_endian::Store64(buffer, mod_result);
+ buffer += 8;
+ goto set_last_zero;
} else {
- // top_1to11 has more than 32 bits too; print it in two steps.
- uint32_t top_8to9 = static_cast<uint32_t>(top_1to11 / 100);
- uint32_t mid_2 = static_cast<uint32_t>(top_1to11 - top_8to9 * 100);
- buffer = numbers_internal::FastIntToBuffer(top_8to9, buffer);
- PutTwoDigits(mid_2, buffer);
- buffer += 2;
+ // 4 + 8 + 8
+ uint64_t div016 = i / 10'000'000'000'000'000ull;
+ buffer = EncodeTenThousand(static_cast<uint32_t>(div016), buffer);
+ uint64_t mid_result = div08 - div016 * 100'000'000ull;
+ mid_result = PrepareTenThousands(mid_result / 10000, mid_result % 10000) +
+ kEightZeroBytes;
+ little_endian::Store64(buffer, mid_result);
+ buffer += 8;
+ little_endian::Store64(buffer, mod_result);
+ buffer += 8;
+ goto set_last_zero;
}
-
- // We have only 9 digits now, again the maximum uint32_t can handle fully.
- uint32_t digits = u32 / 10000000; // 10,000,000
- u32 -= digits * 10000000;
- PutTwoDigits(digits, buffer);
- buffer += 2;
- digits = u32 / 100000; // 100,000
- u32 -= digits * 100000;
- PutTwoDigits(digits, buffer);
- buffer += 2;
- digits = u32 / 1000; // 1,000
- u32 -= digits * 1000;
- PutTwoDigits(digits, buffer);
- buffer += 2;
- digits = u32 / 10;
- u32 -= digits * 10;
- PutTwoDigits(digits, buffer);
- buffer += 2;
- memcpy(buffer, one_ASCII_final_digits[u32], 2);
- return buffer + 1;
+set_last_zero:
+ *buffer = '\0';
+ return buffer;
}
char* numbers_internal::FastIntToBuffer(int64_t i, char* buffer) {
@@ -1048,25 +1099,6 @@ ABSL_CONST_INIT ABSL_DLL const char kHexTable[513] =
"e0e1e2e3e4e5e6e7e8e9eaebecedeeef"
"f0f1f2f3f4f5f6f7f8f9fafbfcfdfeff";
-ABSL_CONST_INIT ABSL_DLL const char two_ASCII_digits[100][2] = {
- {'0', '0'}, {'0', '1'}, {'0', '2'}, {'0', '3'}, {'0', '4'}, {'0', '5'},
- {'0', '6'}, {'0', '7'}, {'0', '8'}, {'0', '9'}, {'1', '0'}, {'1', '1'},
- {'1', '2'}, {'1', '3'}, {'1', '4'}, {'1', '5'}, {'1', '6'}, {'1', '7'},
- {'1', '8'}, {'1', '9'}, {'2', '0'}, {'2', '1'}, {'2', '2'}, {'2', '3'},
- {'2', '4'}, {'2', '5'}, {'2', '6'}, {'2', '7'}, {'2', '8'}, {'2', '9'},
- {'3', '0'}, {'3', '1'}, {'3', '2'}, {'3', '3'}, {'3', '4'}, {'3', '5'},
- {'3', '6'}, {'3', '7'}, {'3', '8'}, {'3', '9'}, {'4', '0'}, {'4', '1'},
- {'4', '2'}, {'4', '3'}, {'4', '4'}, {'4', '5'}, {'4', '6'}, {'4', '7'},
- {'4', '8'}, {'4', '9'}, {'5', '0'}, {'5', '1'}, {'5', '2'}, {'5', '3'},
- {'5', '4'}, {'5', '5'}, {'5', '6'}, {'5', '7'}, {'5', '8'}, {'5', '9'},
- {'6', '0'}, {'6', '1'}, {'6', '2'}, {'6', '3'}, {'6', '4'}, {'6', '5'},
- {'6', '6'}, {'6', '7'}, {'6', '8'}, {'6', '9'}, {'7', '0'}, {'7', '1'},
- {'7', '2'}, {'7', '3'}, {'7', '4'}, {'7', '5'}, {'7', '6'}, {'7', '7'},
- {'7', '8'}, {'7', '9'}, {'8', '0'}, {'8', '1'}, {'8', '2'}, {'8', '3'},
- {'8', '4'}, {'8', '5'}, {'8', '6'}, {'8', '7'}, {'8', '8'}, {'8', '9'},
- {'9', '0'}, {'9', '1'}, {'9', '2'}, {'9', '3'}, {'9', '4'}, {'9', '5'},
- {'9', '6'}, {'9', '7'}, {'9', '8'}, {'9', '9'}};
-
bool safe_strto32_base(absl::string_view text, int32_t* value, int base) {
return safe_int_internal<int32_t>(text, value, base);
}