From 37e6d1e9c733f71c763c546199ee3ef88198f36f Mon Sep 17 00:00:00 2001 From: Daniel Lemire Date: Sat, 10 Oct 2020 12:47:49 -0400 Subject: [PATCH] new number parsing (#1222) * Remove our dependency on strtod_l by bundling our own slow path. * Ok. Let us drop strtod entirely. * Trimming down the powers to -342. * Removing useless line. * Many more comments. * Adding some DLL exports. * Let the gods help those who rely on windows+gcc. * Marking the subnormals as unlikely. This is pretty much "performance neutral", but it might help just a bit with twitter.json. --- include/simdjson/common_defs.h | 50 +- include/simdjson/generic/numberparsing.h | 310 ++-- .../simdjson/internal/jsoncharutils_tables.h | 9 - .../simdjson/internal/numberparsing_tables.h | 54 +- src/from_chars.cpp | 486 ++++++ src/internal/numberparsing_tables.cpp | 1310 +++++++++-------- src/simdjson.cpp | 1 + tests/CMakeLists.txt | 1 + tests/basictests.cpp | 128 +- tests/numberparsingcheck.cpp | 52 +- tests/random_string_number_tests.cpp | 197 +++ 11 files changed, 1735 insertions(+), 863 deletions(-) create mode 100644 src/from_chars.cpp create mode 100644 tests/random_string_number_tests.cpp diff --git a/include/simdjson/common_defs.h b/include/simdjson/common_defs.h index 0f32fd2a7..dd76bd2ea 100644 --- a/include/simdjson/common_defs.h +++ b/include/simdjson/common_defs.h @@ -13,6 +13,12 @@ namespace internal { * Defined in src/to_chars */ char *to_chars(char *first, const char *last, double value); +/** + * @private + * A number parsing routine. + * Defined in src/from_chars + */ +double from_chars(const char *first) noexcept; } #ifndef SIMDJSON_EXCEPTIONS @@ -209,48 +215,4 @@ namespace std { #define SIMDJSON_TRY(EXPR) { auto _err = (EXPR); if (_err) { return _err; } } -/** - * We may fall back on the system's number parsing, and we want - * to be able to call a locale-insensitive number parser. It unfortunately - * means that we need to load up locale headers. - * The locale.h header is generally available: - */ -#include -/** - * Determining whether we should import xlocale.h or not is - * a bit of a nightmare. Visual Studio and recent recent GLIBC (GCC) do not need it. - * However, FreeBSD and Apple platforms will need it. - * And we would want to cover as many platforms as possible. - */ -#ifdef __has_include -// This is the easy case: we have __has_include and can check whether -// xlocale is available. If so, we load it up. -#if __has_include() -#include -#endif // __has_include -#else // We do not have __has_include -// Here we do not have __has_include -// We first check for __GLIBC__ -#ifdef __GLIBC__ // If we have __GLIBC__ then we should have features.h which should help. -// Note that having __GLIBC__ does not imply that we are compiling against glibc. But -// we hope that any platform that defines __GLIBC__ will mimick glibc. -#include -// Check whether we have an old GLIBC. -#if !((__GLIBC__ > 2) || ((__GLIBC__ == 2) && (__GLIBC_MINOR__ > 25))) -#include // Old glibc needs xlocale, otherwise xlocale is unavailable. -#endif // !((__GLIBC__ > 2) || ((__GLIBC__ == 2) && (__GLIBC_MINOR__ > 25))) -#else // __GLIBC__ -// Ok. So we do not have __GLIBC__ -// We assume that everything that is not GLIBC and not on old freebsd or windows -// needs xlocale. -// It is likely that recent FreeBSD and Apple platforms load xlocale.h next: -#if !(defined(_WIN32) || (__FreeBSD_version < 1000010)) -#include // Will always happen under apple. -#endif // -#endif // __GLIBC__ -#endif // __has_include -/** - * End of the crazy locale headers. - */ - #endif // SIMDJSON_COMMON_DEFS_H diff --git a/include/simdjson/generic/numberparsing.h b/include/simdjson/generic/numberparsing.h index a6a439962..28507c65b 100644 --- a/include/simdjson/generic/numberparsing.h +++ b/include/simdjson/generic/numberparsing.h @@ -8,12 +8,7 @@ namespace { /// @private namespace numberparsing { -using internal::FASTFLOAT_LARGEST_POWER; -using internal::FASTFLOAT_SMALLEST_POWER; -using internal::value128; -using internal::power_of_ten; -using internal::mantissa_64; -using internal::mantissa_128; + #ifdef JSON_TEST_NUMBERS #define INVALID_NUMBER(SRC) (found_invalid_number((SRC)), NUMBER_ERROR) @@ -27,12 +22,25 @@ using internal::mantissa_128; #define WRITE_DOUBLE(VALUE, SRC, WRITER) (WRITER).append_double((VALUE)) #endif +namespace { +// Convert a mantissa, an exponent and a sign bit into an ieee64 double. +// The real_exponent needs to be in [0, 2046] (technically real_exponent = 2047 would be acceptable). +// The mantissa should be in [0,1<<53). The bit at index (1ULL << 52) while be zeroed. +simdjson_really_inline double to_double(uint64_t mantissa, uint64_t real_exponent, bool negative) { + double d; + mantissa &= ~(1ULL << 52); + mantissa |= real_exponent << 52; + mantissa |= (((uint64_t)negative) << 63); + memcpy(&d, &mantissa, sizeof(d)); + return d; +} +} // Attempts to compute i * 10^(power) exactly; and if "negative" is // true, negate the result. // This function will only work in some cases, when it does not work, success is // set to false. This should work *most of the time* (like 99% of the time). -// We assume that power is in the [FASTFLOAT_SMALLEST_POWER, -// FASTFLOAT_LARGEST_POWER] interval: the caller is responsible for this check. +// We assume that power is in the [smallest_power, +// largest_power] interval: the caller is responsible for this check. simdjson_really_inline bool compute_float_64(int64_t power, uint64_t i, bool negative, double &d) { // we start with a fast path // It was described in @@ -61,9 +69,9 @@ simdjson_really_inline bool compute_float_64(int64_t power, uint64_t i, bool neg // and s / p will produce correctly rounded values. // if (power < 0) { - d = d / power_of_ten[-power]; + d = d / simdjson::internal::power_of_ten[-power]; } else { - d = d * power_of_ten[power]; + d = d * simdjson::internal::power_of_ten[power]; } if (negative) { d = -d; @@ -97,16 +105,8 @@ simdjson_really_inline bool compute_float_64(int64_t power, uint64_t i, bool neg return true; } - // We are going to need to do some 64-bit arithmetic to get a more precise product. - // We use a table lookup approach. - // It is safe because - // power >= FASTFLOAT_SMALLEST_POWER - // and power <= FASTFLOAT_LARGEST_POWER - // We recover the mantissa of the power, it has a leading 1. It is always - // rounded down. - uint64_t factor_mantissa = mantissa_64[power - FASTFLOAT_SMALLEST_POWER]; - - // The exponent is 1024 + 63 + power + + // The exponent is 1024 + 63 + power // + floor(log(5**power)/log(2)). // The 1024 comes from the ieee64 standard. // The 63 comes from the fact that we use a 64-bit word. @@ -119,61 +119,89 @@ simdjson_really_inline bool compute_float_64(int64_t power, uint64_t i, bool neg // is equal to // floor(log(5**power)/log(2)) + power // - // The 65536 is (1<<16) and corresponds to + // The 65536 is (1<<16) and corresponds to // (65536 * power) >> 16 ---> power // - // ((152170 * power ) >> 16) is equal to - // floor(log(5**power)/log(2)) + // ((152170 * power ) >> 16) is equal to + // floor(log(5**power)/log(2)) // - // Note that this is not magic: 152170/(1<<16) is + // Note that this is not magic: 152170/(1<<16) is // approximatively equal to log(5)/log(2). - // The 1<<16 value is a power of two; we could use a + // The 1<<16 value is a power of two; we could use a // larger power of 2 if we wanted to. // int64_t exponent = (((152170 + 65536) * power) >> 16) + 1024 + 63; - + // We want the most significant bit of i to be 1. Shift if needed. int lz = leading_zeroes(i); i <<= lz; + + + // We are going to need to do some 64-bit arithmetic to get a precise product. + // We use a table lookup approach. + // It is safe because + // power >= smallest_power + // and power <= largest_power + // We recover the mantissa of the power, it has a leading 1. It is always + // rounded down. + // // We want the most significant 64 bits of the product. We know // this will be non-zero because the most significant bit of i is // 1. - value128 product = jsoncharutils::full_multiplication(i, factor_mantissa); - uint64_t lower = product.low; - uint64_t upper = product.high; + const uint32_t index = 2 * uint32_t(power - simdjson::internal::smallest_power); + // Optimization: It may be that materializing the index as a variable might confuse some compilers and prevent effective complex-addressing loads. (Done for code clarity.) + // + // The full_multiplication function computes the 128-bit product of two 64-bit words + // with a returned value of type value128 with a "low component" corresponding to the + // 64-bit least significant bits of the product and with a "high component" corresponding + // to the 64-bit most significant bits of the product. + simdjson::internal::value128 firstproduct = jsoncharutils::full_multiplication(i, simdjson::internal::power_of_five_128[index]); + // Both i and power_of_five_128[index] have their most significant bit set to 1 which + // implies that the either the most or the second most significant bit of the product + // is 1. We pack values in this manner for efficiency reasons: it maximizes the use + // we make of the product. It also makes it easy to reason aboutthe product: there + // 0 or 1 leading zero in the product. - // We know that upper has at most one leading zero because - // both i and factor_mantissa have a leading one. This means - // that the result is at least as large as ((1<<63)*(1<<63))/(1<<64). - - // As long as the first 9 bits of "upper" are not "1", then we - // know that we have an exact computed value for the leading - // 55 bits because any imprecision would play out as a +1, in - // the worst case. - if (simdjson_unlikely((upper & 0x1FF) == 0x1FF) && (lower + i < lower)) { - uint64_t factor_mantissa_low = - mantissa_128[power - FASTFLOAT_SMALLEST_POWER]; - // next, we compute the 64-bit x 128-bit multiplication, getting a 192-bit - // result (three 64-bit values) - product = jsoncharutils::full_multiplication(i, factor_mantissa_low); - uint64_t product_low = product.low; - uint64_t product_middle2 = product.high; - uint64_t product_middle1 = lower; - uint64_t product_high = upper; - uint64_t product_middle = product_middle1 + product_middle2; - if (product_middle < product_middle1) { - product_high++; // overflow carry - } - // We want to check whether mantissa *i + i would affect our result. - // This does happen, e.g. with 7.3177701707893310e+15. - if (((product_middle + 1 == 0) && ((product_high & 0x1FF) == 0x1FF) && - (product_low + i < product_low))) { // let us be prudent and bail out. + // Unless the least significant 9 bits of the high (64-bit) part of the full + // product are all 1s, then we know that the most significant 55 bits are + // exact and no further work is needed. Having 55 bits is necessary because + // we need 53 bits for the mantissa but we have to have one rounding bit and + // we can waste a bit if the most significant bit of the product is zero. + if((firstproduct.high & 0x1FF) == 0x1FF) { + // We want to compute i * 5^q, but only care about the top 55 bits at most. + // Consider the scenario where q>=0. Then 5^q may not fit in 64-bits. Doing + // the full computation is wasteful. So we do what is called a "truncated + // multiplication". + // We take the most significant 64-bits, and we put them in + // power_of_five_128[index]. Usually, that's good enough to approximate i * 5^q + // to the desired approximation using one multiplication. Sometimes it does not suffice. + // Then we store the next most significant 64 bits in power_of_five_128[index + 1], and + // then we get a better approximation to i * 5^q. In very rare cases, even that + // will not suffice, though it is seemingly very hard to find such a scenario. + // + // That's for when q>=0. The logic for q<0 is somewhat similar but it is somewhat + // more complicated. + // + // There is an extra layer of complexity in that we need more than 55 bits of + // accuracy in the round-to-even scenario. + // + // The full_multiplication function computes the 128-bit product of two 64-bit words + // with a returned value of type value128 with a "low component" corresponding to the + // 64-bit least significant bits of the product and with a "high component" corresponding + // to the 64-bit most significant bits of the product. + simdjson::internal::value128 secondproduct = jsoncharutils::full_multiplication(i, simdjson::internal::power_of_five_128[index + 1]); + firstproduct.low += secondproduct.high; + if(secondproduct.high > firstproduct.low) { firstproduct.high++; } + // At this point, we might need to add at most one to firstproduct, but this + // can only change the value of firstproduct.high if firstproduct.low is maximal. + if(simdjson_unlikely(firstproduct.low == 0xFFFFFFFFFFFFFFFF)) { + // This is very unlikely, but if so, we need to do much more work! return false; } - upper = product_high; - lower = product_middle; } + uint64_t lower = firstproduct.low; + uint64_t upper = firstproduct.high; // The final mantissa should be 53 bits with a leading 1. // We shift it so that it occupies 54 bits with a leading 1. /////// @@ -182,32 +210,56 @@ simdjson_really_inline bool compute_float_64(int64_t power, uint64_t i, bool neg lz += int(1 ^ upperbit); // Here we have mantissa < (1<<54). - + int64_t real_exponent = exponent - lz; + if (simdjson_unlikely(real_exponent <= 0)) { // we have a subnormal? + // Here have that real_exponent <= 0 so -real_exponent >= 0 + if(-real_exponent + 1 >= 64) { // if we have more than 64 bits below the minimum exponent, you have a zero for sure. + d = 0.0; + return true; + } + // next line is safe because -real_exponent + 1 < 0 + mantissa >>= -real_exponent + 1; + // Thankfully, we can't have both "round-to-even" and subnormals because + // "round-to-even" only occurs for powers close to 0. + mantissa += (mantissa & 1); // round up + mantissa >>= 1; + // There is a weird scenario where we don't have a subnormal but just. + // Suppose we start with 2.2250738585072013e-308, we end up + // with 0x3fffffffffffff x 2^-1023-53 which is technically subnormal + // whereas 0x40000000000000 x 2^-1023-53 is normal. Now, we need to round + // up 0x3fffffffffffff x 2^-1023-53 and once we do, we are no longer + // subnormal, but we can only know this after rounding. + // So we only declare a subnormal if we are smaller than the threshold. + real_exponent = (mantissa < (uint64_t(1) << 52)) ? 0 : 1; + d = to_double(mantissa, real_exponent, negative); + return true; + } // We have to round to even. The "to even" part // is only a problem when we are right in between two floats // which we guard against. // If we have lots of trailing zeros, we may fall right between two // floating-point values. - if (simdjson_unlikely((lower == 0) && ((upper & 0x1FF) == 0) && - ((mantissa & 3) == 1))) { - // if mantissa & 1 == 1 we might need to round up. - // - // Scenarios: - // 1. We are not in the middle. Then we should round up. - // - // 2. We are right in the middle. Whether we round up depends - // on the last significant bit: if it is "one" then we round - // up (round to even) otherwise, we do not. - // - // So if the last significant bit is 1, we can safely round up. - // Hence we only need to bail out if (mantissa & 3) == 1. - // Otherwise we may need more accuracy or analysis to determine whether - // we are exactly between two floating-point numbers. - // It can be triggered with 1e23. - // Note: because the factor_mantissa and factor_mantissa_low are - // almost always rounded down (except for small positive powers), - // almost always should round up. - return false; + // + // The round-to-even cases take the form of a number 2m+1 which is in (2^53,2^54] + // times a power of two. That is, it is right between a number with binary significand + // m and another number with binary significand m+1; and it must be the case + // that it cannot be represented by a float itself. + // + // We must have that w * 10 ^q == (2m+1) * 2^p for some power of two 2^p. + // Recall that 10^q = 5^q * 2^q. + // When q >= 0, we must have that (2m+1) is divible by 5^q, so 5^q <= 2^54. We have that + // 5^23 <= 2^54 and it is the last power of five to qualify, so q <= 23. + // When q<0, we have w >= (2m+1) x 5^{-q}. We must have that w<2^{64} so + // (2m+1) x 5^{-q} < 2^{64}. We have that 2m+1>2^{53}. Hence, we must have + // 2^{53} x 5^{-q} < 2^{64}. + // Hence we have 5^{-q} < 2^{11}$ or q>= -4. + // + // We require lower <= 1 and not lower == 0 because we could not prove that + // that lower == 0 is implied; but we could prove that lower <= 1 is a necessary and sufficient test. + if (simdjson_unlikely((lower <= 1) && (power >= -4) && (power <= 23) && ((mantissa & 3) == 1))) { + if((mantissa << (upperbit + 64 - 53 - 2)) == upper) { + mantissa &= ~1; // flip it so that we do not round up + } } mantissa += mantissa & 1; @@ -219,53 +271,29 @@ simdjson_really_inline bool compute_float_64(int64_t power, uint64_t i, bool neg // This will happen when parsing values such as 7.2057594037927933e+16 //////// mantissa = (1ULL << 52); - lz--; // undo previous addition + real_exponent++; } mantissa &= ~(1ULL << 52); - uint64_t real_exponent = exponent - lz; // we have to check that real_exponent is in range, otherwise we bail out - if (simdjson_unlikely((real_exponent < 1) || (real_exponent > 2046))) { + if (simdjson_unlikely(real_exponent > 2046)) { + // We have an infinte value!!! We could actually throw an error here if we could. return false; } - mantissa |= real_exponent << 52; - mantissa |= (((uint64_t)negative) << 63); - memcpy(&d, &mantissa, sizeof(d)); + d = to_double(mantissa, real_exponent, negative); return true; } -static bool parse_float_strtod(const uint8_t *ptr, double *outDouble) { - char *endptr; - // We want to call strtod with the C (default) locale to avoid - // potential issues in case someone has a different locale. - // Unfortunately, Visual Studio has a different syntax. -#ifdef _WIN32 - static _locale_t c_locale = _create_locale(LC_ALL, "C"); - *outDouble = _strtod_l((const char *)ptr, &endptr, c_locale); -#else - static locale_t c_locale = newlocale(LC_ALL_MASK, "C", NULL); - *outDouble = strtod_l((const char *)ptr, &endptr, c_locale); -#endif - // Some libraries will set errno = ERANGE when the value is subnormal, - // yet we may want to be able to parse subnormal values. - // However, we do not want to tolerate NAN or infinite values. - // - // Values like infinity or NaN are not allowed in the JSON specification. - // If you consume a large value and you map it to "infinity", you will no - // longer be able to serialize back a standard-compliant JSON. And there is - // no realistic application where you might need values so large than they - // can't fit in binary64. The maximal value is about 1.7976931348623157 x - // 10^308 It is an unimaginable large number. There will never be any piece of - // engineering involving as many as 10^308 parts. It is estimated that there - // are about 10^80 atoms in the universe. The estimate for the total number - // of electrons is similar. Using a double-precision floating-point value, we - // can represent easily the number of atoms in the universe. We could also - // represent the number of ways you can pick any three individual atoms at - // random in the universe. If you ever encounter a number much larger than - // 10^308, you know that you have a bug. RapidJSON will reject a document with - // a float that does not fit in binary64. JSON for Modern C++ (nlohmann/json) - // will flat out throw an exception. - // - if ((endptr == (const char *)ptr) || (!std::isfinite(*outDouble))) { +// We call a fallback floating-point parser that might be slow. Note +// it will accept JSON numbers, but the JSON spec. is more restrictive so +// before you call parse_float_fallback, you need to have validated the input +// string with the JSON grammar. +// It will return an error (false) if the parsed number is infinite. +// The string parsing itself always succeeds. We know that there is at least +// one digit. +static bool parse_float_fallback(const uint8_t *ptr, double *outDouble) { + *outDouble = simdjson::internal::from_chars((const char *)ptr); + // We do not accept infinite values. + if (!std::isfinite(*outDouble)) { return false; } return true; @@ -292,7 +320,7 @@ simdjson_really_inline bool is_made_of_eight_digits_fast(const uint8_t *chars) { template error_code slow_float_parsing(SIMDJSON_UNUSED const uint8_t * src, W writer) { double d; - if (parse_float_strtod(src, &d)) { + if (parse_float_fallback(src, &d)) { writer.append_double(d); return SUCCESS; } @@ -346,14 +374,14 @@ simdjson_really_inline error_code parse_exponent(SIMDJSON_UNUSED const uint8_t * auto start_exp = p; int64_t exp_number = 0; while (parse_digit(*p, exp_number)) { ++p; } - // It is possible for parse_digit to overflow. + // It is possible for parse_digit to overflow. // In particular, it could overflow to INT64_MIN, and we cannot do - INT64_MIN. // Thus we *must* check for possible overflow before we negate exp_number. // Performance notes: it may seem like combining the two "simdjson_unlikely checks" below into // a single simdjson_unlikely path would be faster. The reasoning is sound, but the compiler may // not oblige and may, in fact, generate two distinct paths in any case. It might be - // possible to do uint64_t(p - start_exp - 1) >= 18 but it could end up trading off + // possible to do uint64_t(p - start_exp - 1) >= 18 but it could end up trading off // instructions for a simdjson_likely branch, an unconclusive gain. // If there were no digits, it's an error. @@ -363,7 +391,7 @@ simdjson_really_inline error_code parse_exponent(SIMDJSON_UNUSED const uint8_t * // We have a valid positive exponent in exp_number at this point, except that // it may have overflowed. - // If there were more than 18 digits, we may have overflowed the integer. We have to do + // If there were more than 18 digits, we may have overflowed the integer. We have to do // something!!!! if (simdjson_unlikely(p > start_exp+18)) { // Skip leading zeroes: 1e000000000000000000001 is technically valid and doesn't overflow @@ -375,12 +403,12 @@ simdjson_really_inline error_code parse_exponent(SIMDJSON_UNUSED const uint8_t * // Note that 999999999999999999 is assuredly too large. The maximal ieee64 value before // infinity is ~1.8e308. The smallest subnormal is ~5e-324. So, actually, we could // truncate at 324. - // Note that there is no reason to fail per se at this point in time. + // Note that there is no reason to fail per se at this point in time. // E.g., 0e999999999999999999999 is a fine number. if (p > start_exp+18) { exp_number = 999999999999999999; } } // At this point, we know that exp_number is a sane, positive, signed integer. - // It is <= 999,999,999,999,999,999. As long as 'exponent' is in + // It is <= 999,999,999,999,999,999. As long as 'exponent' is in // [-8223372036854775808, 8223372036854775808], we won't overflow. Because 'exponent' // is bounded in magnitude by the size of the JSON input, we are fine in this universe. // To sum it up: the next line should never overflow. @@ -404,10 +432,11 @@ simdjson_really_inline error_code write_float(const uint8_t *const src, bool neg // If we frequently had to deal with long strings of digits, // we could extend our code by using a 128-bit integer instead // of a 64-bit integer. However, this is uncommon in practice. - // digit count is off by 1 because of the decimal (assuming there was one). // // 9999999999999999999 < 2**64 so we can accomodate 19 digits. - if (simdjson_unlikely(digit_count-1 > 19 && significant_digits(start_digits, digit_count) > 19)) { + // If we have a decimal separator, then digit_count - 1 is the number of digits, but we + // may not have a decimal separator! + if (simdjson_unlikely(digit_count > 19 && significant_digits(start_digits, digit_count) > 19)) { // Ok, chances are good that we had an overflow! // this is almost never going to get called!!! // we start anew, going slowly!!! @@ -427,22 +456,25 @@ simdjson_really_inline error_code write_float(const uint8_t *const src, bool neg // NOTE: it's weird that the simdjson_unlikely() only wraps half the if, but it seems to get slower any other // way we've tried: https://github.com/simdjson/simdjson/pull/990#discussion_r448497331 // To future reader: we'd love if someone found a better way, or at least could explain this result! - if (simdjson_unlikely(exponent < FASTFLOAT_SMALLEST_POWER) || (exponent > FASTFLOAT_LARGEST_POWER)) { - // this is almost never going to get called!!! - // we start anew, going slowly!!! - // NOTE: This makes a *copy* of the writer and passes it to slow_float_parsing. This happens - // because slow_float_parsing is a non-inlined function. If we passed our writer reference to - // it, it would force it to be stored in memory, preventing the compiler from picking it apart - // and putting into registers. i.e. if we pass it as reference, it gets slow. - // This is what forces the skip_double, as well. - error_code error = slow_float_parsing(src, writer); - writer.skip_double(); - return error; + if (simdjson_unlikely(exponent < simdjson::internal::smallest_power) || (exponent > simdjson::internal::largest_power)) { + // + // Important: smallest_power is such that it leads to a zero value. + // Observe that 18446744073709551615e-343 == 0, i.e. (2**64 - 1) e -343 is zero + // so something x 10^-343 goes to zero, but not so with something x 10^-342. + static_assert(simdjson::internal::smallest_power <= -342, "smallest_power is not small enough"); + // + if((exponent < simdjson::internal::smallest_power) || (i == 0)) { + WRITE_DOUBLE(0, src, writer); + return SUCCESS; + } else { // (exponent > largest_power) and (i != 0) + // We have, for sure, an infinite value and simdjson refuses to parse infinite values. + return INVALID_NUMBER(src); + } } double d; if (!compute_float_64(exponent, i, negative, d)) { // we are almost never going to get here. - if (!parse_float_strtod(src, &d)) { return INVALID_NUMBER(src); } + if (!parse_float_fallback(src, &d)) { return INVALID_NUMBER(src); } } WRITE_DOUBLE(d, src, writer); return SUCCESS; @@ -757,7 +789,7 @@ SIMDJSON_UNUSED simdjson_really_inline simdjson_result parse_double(cons if (p-start_exp_digits == 0 || p-start_exp_digits > 19) { return NUMBER_ERROR; } exponent += exp_neg ? 0-exp : exp; - overflow = overflow || exponent < FASTFLOAT_SMALLEST_POWER || exponent > FASTFLOAT_LARGEST_POWER; + overflow = overflow || exponent < simdjson::internal::smallest_power || exponent > simdjson::internal::largest_power; } if (jsoncharutils::is_not_structural_or_whitespace(*p)) { return NUMBER_ERROR; } @@ -769,7 +801,7 @@ SIMDJSON_UNUSED simdjson_really_inline simdjson_result parse_double(cons if (simdjson_likely(!overflow)) { if (compute_float_64(exponent, i, negative, d)) { return d; } } - if (!parse_float_strtod(src-negative, &d)) { + if (!parse_float_fallback(src-negative, &d)) { return NUMBER_ERROR; } return d; diff --git a/include/simdjson/internal/jsoncharutils_tables.h b/include/simdjson/internal/jsoncharutils_tables.h index ba5da8fcb..a53551cc8 100644 --- a/include/simdjson/internal/jsoncharutils_tables.h +++ b/include/simdjson/internal/jsoncharutils_tables.h @@ -11,15 +11,6 @@ void found_bad_string(const uint8_t *buf); namespace simdjson { namespace internal { - -constexpr int FASTFLOAT_SMALLEST_POWER = -325; -constexpr int FASTFLOAT_LARGEST_POWER = 308; - -struct value128 { - uint64_t low; - uint64_t high; -}; - // structural chars here are // they are { 0x7b } 0x7d : 0x3a [ 0x5b ] 0x5d , 0x2c (and NULL) // we are also interested in the four whitespace characters diff --git a/include/simdjson/internal/numberparsing_tables.h b/include/simdjson/internal/numberparsing_tables.h index 9ff167fc1..dccc47df3 100644 --- a/include/simdjson/internal/numberparsing_tables.h +++ b/include/simdjson/internal/numberparsing_tables.h @@ -5,22 +5,54 @@ namespace simdjson { namespace internal { +/** + * The smallest non-zero float (binary64) is 2^−1074. + * We take as input numbers of the form w x 10^q where w < 2^64. + * We have that w * 10^-343 < 2^(64-344) 5^-343 < 2^-1076. + * However, we have that + * (2^64-1) * 10^-342 = (2^64-1) * 2^-342 * 5^-342 > 2^−1074. + * Thus it is possible for a number of the form w * 10^-342 where + * w is a 64-bit value to be a non-zero floating-point number. + ********* + * Any number of form w * 10^309 where w>= 1 is going to be + * infinite in binary64 so we never need to worry about powers + * of 5 greater than 308. + */ +constexpr int smallest_power = -342; +constexpr int largest_power = 308; + +/** + * Represents a 128-bit value. + * low: least significant 64 bits. + * high: most significant 64 bits. + */ +struct value128 { + uint64_t low; + uint64_t high; +}; + // Precomputed powers of ten from 10^0 to 10^22. These // can be represented exactly using the double type. extern SIMDJSON_DLLIMPORTEXPORT const double power_of_ten[]; -// The mantissas of powers of ten from -308 to 308, extended out to sixty four -// bits. The array contains the powers of ten approximated -// as a 64-bit mantissa. It goes from 10^FASTFLOAT_SMALLEST_POWER to -// 10^FASTFLOAT_LARGEST_POWER (inclusively). -// The mantissa is truncated, and -// never rounded up. Uses about 5KB. -extern SIMDJSON_DLLIMPORTEXPORT const uint64_t mantissa_64[]; -// A complement to mantissa_64 -// complete to a 128-bit mantissa. -// Uses about 5KB but is rarely accessed. -extern SIMDJSON_DLLIMPORTEXPORT const uint64_t mantissa_128[]; + +/** + * When mapping numbers from decimal to binary, + * we go from w * 10^q to m * 2^p but we have + * 10^q = 5^q * 2^q, so effectively + * we are trying to match + * w * 2^q * 5^q to m * 2^p. Thus the powers of two + * are not a concern since they can be represented + * exactly using the binary notation, only the powers of five + * affect the binary significand. + */ + + +// The truncated powers of five from 5^-342 all the way to 5^308 +// The mantissa is truncated to 128 bits, and +// never rounded up. Uses about 5KB. +extern SIMDJSON_DLLIMPORTEXPORT const uint64_t power_of_five_128[]; } // namespace internal } // namespace simdjson diff --git a/src/from_chars.cpp b/src/from_chars.cpp new file mode 100644 index 000000000..e69c46d76 --- /dev/null +++ b/src/from_chars.cpp @@ -0,0 +1,486 @@ +#include +#include +namespace simdjson { +namespace internal { + +/** + * The code in the internal::from_chars function is meant to handle the floating-point number parsing + * when we have more than 19 digits in the decimal mantissa. This should only be seen + * in adversarial scenarios: we do not expect production systems to even produce + * such floating-point numbers. + * + * The parser is based on work by Nigel Tao (at https://github.com/google/wuffs/) + * who credits Ken Thompson for the design (via a reference to the Go source + * code). See + * https://github.com/google/wuffs/blob/aa46859ea40c72516deffa1b146121952d6dfd3b/internal/cgen/base/floatconv-submodule-data.c + * https://github.com/google/wuffs/blob/46cd8105f47ca07ae2ba8e6a7818ef9c0df6c152/internal/cgen/base/floatconv-submodule-code.c + * It is probably not very fast but it is a fallback that should almost never be + * called in real life. Google Wuffs is published under APL 2.0. + **/ + +namespace { +constexpr uint32_t max_digits = 768; +constexpr int32_t decimal_point_range = 2047; +} // namespace + +struct adjusted_mantissa { + uint64_t mantissa; + int power2; + adjusted_mantissa() : mantissa(0), power2(0) {} +}; + +struct decimal { + uint32_t num_digits; + int32_t decimal_point; + bool negative; + bool truncated; + uint8_t digits[max_digits]; +}; + +template struct binary_format { + static constexpr int mantissa_explicit_bits(); + static constexpr int minimum_exponent(); + static constexpr int infinite_power(); + static constexpr int sign_index(); +}; + +template <> constexpr int binary_format::mantissa_explicit_bits() { + return 52; +} + +template <> constexpr int binary_format::minimum_exponent() { + return -1023; +} +template <> constexpr int binary_format::infinite_power() { + return 0x7FF; +} + +template <> constexpr int binary_format::sign_index() { return 63; } + +bool is_integer(char c) noexcept { return (c >= '0' && c <= '9'); } + +// This should always succeed since it follows a call to parse_number. +decimal parse_decimal(const char *&p) noexcept { + decimal answer; + answer.num_digits = 0; + answer.decimal_point = 0; + answer.negative = false; + answer.truncated = false; + answer.negative = (*p == '-'); + if ((*p == '-') || (*p == '+')) { + ++p; + } + + while (*p == '0') { + ++p; + } + while (is_integer(*p)) { + if (answer.num_digits + 1 < max_digits) { + answer.digits[answer.num_digits++] = uint8_t(*p - '0'); + } else { + answer.truncated = true; + } + ++p; + } + const char *first_after_period{}; + if (*p == '.') { + ++p; + first_after_period = p; + // if we have not yet encountered a zero, we have to skip it as well + if (answer.num_digits == 0) { + // skip zeros + while (*p == '0') { + ++p; + } + } + while (is_integer(*p)) { + if (answer.num_digits + 1 < max_digits) { + answer.digits[answer.num_digits++] = uint8_t(*p - '0'); + } else { + answer.truncated = true; + } + ++p; + } + answer.decimal_point = int32_t(first_after_period - p); + } + + if (('e' == *p) || ('E' == *p)) { + ++p; + bool neg_exp = false; + if ('-' == *p) { + neg_exp = true; + ++p; + } else if ('+' == *p) { + ++p; + } + int32_t exp_number = 0; // exponential part + while (is_integer(*p)) { + uint8_t digit = uint8_t(*p - '0'); + if (exp_number < 0x10000) { + exp_number = 10 * exp_number + digit; + } + ++p; + } + answer.decimal_point += (neg_exp ? -exp_number : exp_number); + } + answer.decimal_point += answer.num_digits; + return answer; +} + +namespace { + +// remove all final zeroes +inline void trim(decimal &h) { + while ((h.num_digits > 0) && (h.digits[h.num_digits - 1] == 0)) { + h.num_digits--; + } +} + +uint32_t number_of_digits_decimal_left_shift(decimal &h, uint32_t shift) { + shift &= 63; + const static uint16_t number_of_digits_decimal_left_shift_table[65] = { + 0x0000, 0x0800, 0x0801, 0x0803, 0x1006, 0x1009, 0x100D, 0x1812, 0x1817, + 0x181D, 0x2024, 0x202B, 0x2033, 0x203C, 0x2846, 0x2850, 0x285B, 0x3067, + 0x3073, 0x3080, 0x388E, 0x389C, 0x38AB, 0x38BB, 0x40CC, 0x40DD, 0x40EF, + 0x4902, 0x4915, 0x4929, 0x513E, 0x5153, 0x5169, 0x5180, 0x5998, 0x59B0, + 0x59C9, 0x61E3, 0x61FD, 0x6218, 0x6A34, 0x6A50, 0x6A6D, 0x6A8B, 0x72AA, + 0x72C9, 0x72E9, 0x7B0A, 0x7B2B, 0x7B4D, 0x8370, 0x8393, 0x83B7, 0x83DC, + 0x8C02, 0x8C28, 0x8C4F, 0x9477, 0x949F, 0x94C8, 0x9CF2, 0x051C, 0x051C, + 0x051C, 0x051C, + }; + uint32_t x_a = number_of_digits_decimal_left_shift_table[shift]; + uint32_t x_b = number_of_digits_decimal_left_shift_table[shift + 1]; + uint32_t num_new_digits = x_a >> 11; + uint32_t pow5_a = 0x7FF & x_a; + uint32_t pow5_b = 0x7FF & x_b; + const static uint8_t + number_of_digits_decimal_left_shift_table_powers_of_5[0x051C] = { + 5, 2, 5, 1, 2, 5, 6, 2, 5, 3, 1, 2, 5, 1, 5, 6, 2, 5, 7, 8, 1, 2, 5, + 3, 9, 0, 6, 2, 5, 1, 9, 5, 3, 1, 2, 5, 9, 7, 6, 5, 6, 2, 5, 4, 8, 8, + 2, 8, 1, 2, 5, 2, 4, 4, 1, 4, 0, 6, 2, 5, 1, 2, 2, 0, 7, 0, 3, 1, 2, + 5, 6, 1, 0, 3, 5, 1, 5, 6, 2, 5, 3, 0, 5, 1, 7, 5, 7, 8, 1, 2, 5, 1, + 5, 2, 5, 8, 7, 8, 9, 0, 6, 2, 5, 7, 6, 2, 9, 3, 9, 4, 5, 3, 1, 2, 5, + 3, 8, 1, 4, 6, 9, 7, 2, 6, 5, 6, 2, 5, 1, 9, 0, 7, 3, 4, 8, 6, 3, 2, + 8, 1, 2, 5, 9, 5, 3, 6, 7, 4, 3, 1, 6, 4, 0, 6, 2, 5, 4, 7, 6, 8, 3, + 7, 1, 5, 8, 2, 0, 3, 1, 2, 5, 2, 3, 8, 4, 1, 8, 5, 7, 9, 1, 0, 1, 5, + 6, 2, 5, 1, 1, 9, 2, 0, 9, 2, 8, 9, 5, 5, 0, 7, 8, 1, 2, 5, 5, 9, 6, + 0, 4, 6, 4, 4, 7, 7, 5, 3, 9, 0, 6, 2, 5, 2, 9, 8, 0, 2, 3, 2, 2, 3, + 8, 7, 6, 9, 5, 3, 1, 2, 5, 1, 4, 9, 0, 1, 1, 6, 1, 1, 9, 3, 8, 4, 7, + 6, 5, 6, 2, 5, 7, 4, 5, 0, 5, 8, 0, 5, 9, 6, 9, 2, 3, 8, 2, 8, 1, 2, + 5, 3, 7, 2, 5, 2, 9, 0, 2, 9, 8, 4, 6, 1, 9, 1, 4, 0, 6, 2, 5, 1, 8, + 6, 2, 6, 4, 5, 1, 4, 9, 2, 3, 0, 9, 5, 7, 0, 3, 1, 2, 5, 9, 3, 1, 3, + 2, 2, 5, 7, 4, 6, 1, 5, 4, 7, 8, 5, 1, 5, 6, 2, 5, 4, 6, 5, 6, 6, 1, + 2, 8, 7, 3, 0, 7, 7, 3, 9, 2, 5, 7, 8, 1, 2, 5, 2, 3, 2, 8, 3, 0, 6, + 4, 3, 6, 5, 3, 8, 6, 9, 6, 2, 8, 9, 0, 6, 2, 5, 1, 1, 6, 4, 1, 5, 3, + 2, 1, 8, 2, 6, 9, 3, 4, 8, 1, 4, 4, 5, 3, 1, 2, 5, 5, 8, 2, 0, 7, 6, + 6, 0, 9, 1, 3, 4, 6, 7, 4, 0, 7, 2, 2, 6, 5, 6, 2, 5, 2, 9, 1, 0, 3, + 8, 3, 0, 4, 5, 6, 7, 3, 3, 7, 0, 3, 6, 1, 3, 2, 8, 1, 2, 5, 1, 4, 5, + 5, 1, 9, 1, 5, 2, 2, 8, 3, 6, 6, 8, 5, 1, 8, 0, 6, 6, 4, 0, 6, 2, 5, + 7, 2, 7, 5, 9, 5, 7, 6, 1, 4, 1, 8, 3, 4, 2, 5, 9, 0, 3, 3, 2, 0, 3, + 1, 2, 5, 3, 6, 3, 7, 9, 7, 8, 8, 0, 7, 0, 9, 1, 7, 1, 2, 9, 5, 1, 6, + 6, 0, 1, 5, 6, 2, 5, 1, 8, 1, 8, 9, 8, 9, 4, 0, 3, 5, 4, 5, 8, 5, 6, + 4, 7, 5, 8, 3, 0, 0, 7, 8, 1, 2, 5, 9, 0, 9, 4, 9, 4, 7, 0, 1, 7, 7, + 2, 9, 2, 8, 2, 3, 7, 9, 1, 5, 0, 3, 9, 0, 6, 2, 5, 4, 5, 4, 7, 4, 7, + 3, 5, 0, 8, 8, 6, 4, 6, 4, 1, 1, 8, 9, 5, 7, 5, 1, 9, 5, 3, 1, 2, 5, + 2, 2, 7, 3, 7, 3, 6, 7, 5, 4, 4, 3, 2, 3, 2, 0, 5, 9, 4, 7, 8, 7, 5, + 9, 7, 6, 5, 6, 2, 5, 1, 1, 3, 6, 8, 6, 8, 3, 7, 7, 2, 1, 6, 1, 6, 0, + 2, 9, 7, 3, 9, 3, 7, 9, 8, 8, 2, 8, 1, 2, 5, 5, 6, 8, 4, 3, 4, 1, 8, + 8, 6, 0, 8, 0, 8, 0, 1, 4, 8, 6, 9, 6, 8, 9, 9, 4, 1, 4, 0, 6, 2, 5, + 2, 8, 4, 2, 1, 7, 0, 9, 4, 3, 0, 4, 0, 4, 0, 0, 7, 4, 3, 4, 8, 4, 4, + 9, 7, 0, 7, 0, 3, 1, 2, 5, 1, 4, 2, 1, 0, 8, 5, 4, 7, 1, 5, 2, 0, 2, + 0, 0, 3, 7, 1, 7, 4, 2, 2, 4, 8, 5, 3, 5, 1, 5, 6, 2, 5, 7, 1, 0, 5, + 4, 2, 7, 3, 5, 7, 6, 0, 1, 0, 0, 1, 8, 5, 8, 7, 1, 1, 2, 4, 2, 6, 7, + 5, 7, 8, 1, 2, 5, 3, 5, 5, 2, 7, 1, 3, 6, 7, 8, 8, 0, 0, 5, 0, 0, 9, + 2, 9, 3, 5, 5, 6, 2, 1, 3, 3, 7, 8, 9, 0, 6, 2, 5, 1, 7, 7, 6, 3, 5, + 6, 8, 3, 9, 4, 0, 0, 2, 5, 0, 4, 6, 4, 6, 7, 7, 8, 1, 0, 6, 6, 8, 9, + 4, 5, 3, 1, 2, 5, 8, 8, 8, 1, 7, 8, 4, 1, 9, 7, 0, 0, 1, 2, 5, 2, 3, + 2, 3, 3, 8, 9, 0, 5, 3, 3, 4, 4, 7, 2, 6, 5, 6, 2, 5, 4, 4, 4, 0, 8, + 9, 2, 0, 9, 8, 5, 0, 0, 6, 2, 6, 1, 6, 1, 6, 9, 4, 5, 2, 6, 6, 7, 2, + 3, 6, 3, 2, 8, 1, 2, 5, 2, 2, 2, 0, 4, 4, 6, 0, 4, 9, 2, 5, 0, 3, 1, + 3, 0, 8, 0, 8, 4, 7, 2, 6, 3, 3, 3, 6, 1, 8, 1, 6, 4, 0, 6, 2, 5, 1, + 1, 1, 0, 2, 2, 3, 0, 2, 4, 6, 2, 5, 1, 5, 6, 5, 4, 0, 4, 2, 3, 6, 3, + 1, 6, 6, 8, 0, 9, 0, 8, 2, 0, 3, 1, 2, 5, 5, 5, 5, 1, 1, 1, 5, 1, 2, + 3, 1, 2, 5, 7, 8, 2, 7, 0, 2, 1, 1, 8, 1, 5, 8, 3, 4, 0, 4, 5, 4, 1, + 0, 1, 5, 6, 2, 5, 2, 7, 7, 5, 5, 5, 7, 5, 6, 1, 5, 6, 2, 8, 9, 1, 3, + 5, 1, 0, 5, 9, 0, 7, 9, 1, 7, 0, 2, 2, 7, 0, 5, 0, 7, 8, 1, 2, 5, 1, + 3, 8, 7, 7, 7, 8, 7, 8, 0, 7, 8, 1, 4, 4, 5, 6, 7, 5, 5, 2, 9, 5, 3, + 9, 5, 8, 5, 1, 1, 3, 5, 2, 5, 3, 9, 0, 6, 2, 5, 6, 9, 3, 8, 8, 9, 3, + 9, 0, 3, 9, 0, 7, 2, 2, 8, 3, 7, 7, 6, 4, 7, 6, 9, 7, 9, 2, 5, 5, 6, + 7, 6, 2, 6, 9, 5, 3, 1, 2, 5, 3, 4, 6, 9, 4, 4, 6, 9, 5, 1, 9, 5, 3, + 6, 1, 4, 1, 8, 8, 8, 2, 3, 8, 4, 8, 9, 6, 2, 7, 8, 3, 8, 1, 3, 4, 7, + 6, 5, 6, 2, 5, 1, 7, 3, 4, 7, 2, 3, 4, 7, 5, 9, 7, 6, 8, 0, 7, 0, 9, + 4, 4, 1, 1, 9, 2, 4, 4, 8, 1, 3, 9, 1, 9, 0, 6, 7, 3, 8, 2, 8, 1, 2, + 5, 8, 6, 7, 3, 6, 1, 7, 3, 7, 9, 8, 8, 4, 0, 3, 5, 4, 7, 2, 0, 5, 9, + 6, 2, 2, 4, 0, 6, 9, 5, 9, 5, 3, 3, 6, 9, 1, 4, 0, 6, 2, 5, + }; + const uint8_t *pow5 = + &number_of_digits_decimal_left_shift_table_powers_of_5[pow5_a]; + uint32_t i = 0; + uint32_t n = pow5_b - pow5_a; + for (; i < n; i++) { + if (i >= h.num_digits) { + return num_new_digits - 1; + } else if (h.digits[i] == pow5[i]) { + continue; + } else if (h.digits[i] < pow5[i]) { + return num_new_digits - 1; + } else { + return num_new_digits; + } + } + return num_new_digits; +} + +} // end of anonymous namespace + +uint64_t round(decimal &h) { + if ((h.num_digits == 0) || (h.decimal_point < 0)) { + return 0; + } else if (h.decimal_point > 18) { + return UINT64_MAX; + } + // at this point, we know that h.decimal_point >= 0 + uint32_t dp = uint32_t(h.decimal_point); + uint64_t n = 0; + for (uint32_t i = 0; i < dp; i++) { + n = (10 * n) + ((i < h.num_digits) ? h.digits[i] : 0); + } + bool round_up = false; + if (dp < h.num_digits) { + round_up = h.digits[dp] >= 5; // normally, we round up + // but we may need to round to even! + if ((h.digits[dp] == 5) && (dp + 1 == h.num_digits)) { + round_up = h.truncated || ((dp > 0) && (1 & h.digits[dp - 1])); + } + } + if (round_up) { + n++; + } + return n; +} + +// computes h * 2^-shift +void decimal_left_shift(decimal &h, uint32_t shift) { + if (h.num_digits == 0) { + return; + } + uint32_t num_new_digits = number_of_digits_decimal_left_shift(h, shift); + int32_t read_index = int32_t(h.num_digits - 1); + uint32_t write_index = h.num_digits - 1 + num_new_digits; + uint64_t n = 0; + + while (read_index >= 0) { + n += uint64_t(h.digits[read_index]) << shift; + uint64_t quotient = n / 10; + uint64_t remainder = n - (10 * quotient); + if (write_index < max_digits) { + h.digits[write_index] = uint8_t(remainder); + } else if (remainder > 0) { + h.truncated = true; + } + n = quotient; + write_index--; + read_index--; + } + while (n > 0) { + uint64_t quotient = n / 10; + uint64_t remainder = n - (10 * quotient); + if (write_index < max_digits) { + h.digits[write_index] = uint8_t(remainder); + } else if (remainder > 0) { + h.truncated = true; + } + n = quotient; + write_index--; + } + h.num_digits += num_new_digits; + if (h.num_digits > max_digits) { + h.num_digits = max_digits; + } + h.decimal_point += int32_t(num_new_digits); + trim(h); +} + +// computes h * 2^shift +void decimal_right_shift(decimal &h, uint32_t shift) { + uint32_t read_index = 0; + uint32_t write_index = 0; + + uint64_t n = 0; + + while ((n >> shift) == 0) { + if (read_index < h.num_digits) { + n = (10 * n) + h.digits[read_index++]; + } else if (n == 0) { + return; + } else { + while ((n >> shift) == 0) { + n = 10 * n; + read_index++; + } + break; + } + } + h.decimal_point -= int32_t(read_index - 1); + if (h.decimal_point < -decimal_point_range) { // it is zero + h.num_digits = 0; + h.decimal_point = 0; + h.negative = false; + h.truncated = false; + return; + } + uint64_t mask = (uint64_t(1) << shift) - 1; + while (read_index < h.num_digits) { + uint8_t new_digit = uint8_t(n >> shift); + n = (10 * (n & mask)) + h.digits[read_index++]; + h.digits[write_index++] = new_digit; + } + while (n > 0) { + uint8_t new_digit = uint8_t(n >> shift); + n = 10 * (n & mask); + if (write_index < max_digits) { + h.digits[write_index++] = new_digit; + } else if (new_digit > 0) { + h.truncated = true; + } + } + h.num_digits = write_index; + trim(h); +} + +template adjusted_mantissa compute_float(decimal &d) { + adjusted_mantissa answer; + if (d.num_digits == 0) { + // should be zero + answer.power2 = 0; + answer.mantissa = 0; + return answer; + } + // At this point, going further, we can assume that d.num_digits > 0. + // We want to guard against excessive decimal point values because + // they can result in long running times. Indeed, we do + // shifts by at most 60 bits. We have that log(10**400)/log(2**60) ~= 22 + // which is fine, but log(10**299995)/log(2**60) ~= 16609 which is not + // fine (runs for a long time). + // + if(d.decimal_point < -324) { + // We have something smaller than 1e-324 which is always zero + // in binary64 and binary32. + // It should be zero. + answer.power2 = 0; + answer.mantissa = 0; + return answer; + } else if(d.decimal_point >= 310) { + // We have something at least as large as 0.1e310 which is + // always infinite. + answer.power2 = binary::infinite_power(); + answer.mantissa = 0; + return answer; + } + + static const uint32_t max_shift = 60; + static const uint32_t num_powers = 19; + static const uint8_t powers[19] = { + 0, 3, 6, 9, 13, 16, 19, 23, 26, 29, // + 33, 36, 39, 43, 46, 49, 53, 56, 59, // + }; + int32_t exp2 = 0; + while (d.decimal_point > 0) { + uint32_t n = uint32_t(d.decimal_point); + uint32_t shift = (n < num_powers) ? powers[n] : max_shift; + decimal_right_shift(d, shift); + if (d.decimal_point < -decimal_point_range) { + // should be zero + answer.power2 = 0; + answer.mantissa = 0; + return answer; + } + exp2 += int32_t(shift); + } + // We shift left toward [1/2 ... 1]. + while (d.decimal_point <= 0) { + uint32_t shift; + if (d.decimal_point == 0) { + if (d.digits[0] >= 5) { + break; + } + shift = (d.digits[0] < 2) ? 2 : 1; + } else { + uint32_t n = uint32_t(-d.decimal_point); + shift = (n < num_powers) ? powers[n] : max_shift; + } + decimal_left_shift(d, shift); + if (d.decimal_point > decimal_point_range) { + // we want to get infinity: + answer.power2 = 0xFF; + answer.mantissa = 0; + return answer; + } + exp2 -= int32_t(shift); + } + // We are now in the range [1/2 ... 1] but the binary format uses [1 ... 2]. + exp2--; + constexpr int32_t minimum_exponent = binary::minimum_exponent(); + while ((minimum_exponent + 1) > exp2) { + uint32_t n = uint32_t((minimum_exponent + 1) - exp2); + if (n > max_shift) { + n = max_shift; + } + decimal_right_shift(d, n); + exp2 += int32_t(n); + } + if ((exp2 - minimum_exponent) >= binary::infinite_power()) { + answer.power2 = binary::infinite_power(); + answer.mantissa = 0; + return answer; + } + + const int mantissa_size_in_bits = binary::mantissa_explicit_bits() + 1; + decimal_left_shift(d, mantissa_size_in_bits); + + uint64_t mantissa = round(d); + // It is possible that we have an overflow, in which case we need + // to shift back. + if (mantissa >= (uint64_t(1) << mantissa_size_in_bits)) { + decimal_right_shift(d, 1); + exp2 += 1; + mantissa = round(d); + if ((exp2 - minimum_exponent) >= binary::infinite_power()) { + answer.power2 = binary::infinite_power(); + answer.mantissa = 0; + return answer; + } + } + answer.power2 = exp2 - binary::minimum_exponent(); + if (mantissa < (uint64_t(1) << binary::mantissa_explicit_bits())) { + answer.power2--; + } + answer.mantissa = + mantissa & ((uint64_t(1) << binary::mantissa_explicit_bits()) - 1); + return answer; +} + +template +adjusted_mantissa parse_long_mantissa(const char *first) { + decimal d = parse_decimal(first); + return compute_float(d); +} + +double from_chars(const char *first) noexcept { + bool negative = first[0] == '-'; + if (negative) { + first++; + } + adjusted_mantissa am = parse_long_mantissa>(first); + uint64_t word = am.mantissa; + word |= uint64_t(am.power2) + << binary_format::mantissa_explicit_bits(); + word = negative ? word | (uint64_t(1) << binary_format::sign_index()) + : word; + double value; + std::memcpy(&value, &word, sizeof(double)); + return value; +} + +} // internal +} // simdjson \ No newline at end of file diff --git a/src/internal/numberparsing_tables.cpp b/src/internal/numberparsing_tables.cpp index 6cca4075b..0bdf602c5 100644 --- a/src/internal/numberparsing_tables.cpp +++ b/src/internal/numberparsing_tables.cpp @@ -9,651 +9,673 @@ SIMDJSON_DLLIMPORTEXPORT const double power_of_ten[] = { 1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, 1e10, 1e11, 1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19, 1e20, 1e21, 1e22}; -// The mantissas of powers of ten from -308 to 308, extended out to sixty four -// bits. The array contains the powers of ten approximated -// as a 64-bit mantissa. It goes from 10^FASTFLOAT_SMALLEST_POWER to -// 10^FASTFLOAT_LARGEST_POWER (inclusively). -// The mantissa is truncated, and +/** + * When mapping numbers from decimal to binary, + * we go from w * 10^q to m * 2^p but we have + * 10^q = 5^q * 2^q, so effectively + * we are trying to match + * w * 2^q * 5^q to m * 2^p. Thus the powers of two + * are not a concern since they can be represented + * exactly using the binary notation, only the powers of five + * affect the binary significand. + */ + + +// The truncated powers of five from 5^-342 all the way to 5^308 +// The mantissa is truncated to 128 bits, and // never rounded up. Uses about 5KB. -SIMDJSON_DLLIMPORTEXPORT const uint64_t mantissa_64[] = { - 0xa5ced43b7e3e9188, 0xcf42894a5dce35ea, - 0x818995ce7aa0e1b2, 0xa1ebfb4219491a1f, - 0xca66fa129f9b60a6, 0xfd00b897478238d0, - 0x9e20735e8cb16382, 0xc5a890362fddbc62, - 0xf712b443bbd52b7b, 0x9a6bb0aa55653b2d, - 0xc1069cd4eabe89f8, 0xf148440a256e2c76, - 0x96cd2a865764dbca, 0xbc807527ed3e12bc, - 0xeba09271e88d976b, 0x93445b8731587ea3, - 0xb8157268fdae9e4c, 0xe61acf033d1a45df, - 0x8fd0c16206306bab, 0xb3c4f1ba87bc8696, - 0xe0b62e2929aba83c, 0x8c71dcd9ba0b4925, - 0xaf8e5410288e1b6f, 0xdb71e91432b1a24a, - 0x892731ac9faf056e, 0xab70fe17c79ac6ca, - 0xd64d3d9db981787d, 0x85f0468293f0eb4e, - 0xa76c582338ed2621, 0xd1476e2c07286faa, - 0x82cca4db847945ca, 0xa37fce126597973c, - 0xcc5fc196fefd7d0c, 0xff77b1fcbebcdc4f, - 0x9faacf3df73609b1, 0xc795830d75038c1d, - 0xf97ae3d0d2446f25, 0x9becce62836ac577, - 0xc2e801fb244576d5, 0xf3a20279ed56d48a, - 0x9845418c345644d6, 0xbe5691ef416bd60c, - 0xedec366b11c6cb8f, 0x94b3a202eb1c3f39, - 0xb9e08a83a5e34f07, 0xe858ad248f5c22c9, - 0x91376c36d99995be, 0xb58547448ffffb2d, - 0xe2e69915b3fff9f9, 0x8dd01fad907ffc3b, - 0xb1442798f49ffb4a, 0xdd95317f31c7fa1d, - 0x8a7d3eef7f1cfc52, 0xad1c8eab5ee43b66, - 0xd863b256369d4a40, 0x873e4f75e2224e68, - 0xa90de3535aaae202, 0xd3515c2831559a83, - 0x8412d9991ed58091, 0xa5178fff668ae0b6, - 0xce5d73ff402d98e3, 0x80fa687f881c7f8e, - 0xa139029f6a239f72, 0xc987434744ac874e, - 0xfbe9141915d7a922, 0x9d71ac8fada6c9b5, - 0xc4ce17b399107c22, 0xf6019da07f549b2b, - 0x99c102844f94e0fb, 0xc0314325637a1939, - 0xf03d93eebc589f88, 0x96267c7535b763b5, - 0xbbb01b9283253ca2, 0xea9c227723ee8bcb, - 0x92a1958a7675175f, 0xb749faed14125d36, - 0xe51c79a85916f484, 0x8f31cc0937ae58d2, - 0xb2fe3f0b8599ef07, 0xdfbdcece67006ac9, - 0x8bd6a141006042bd, 0xaecc49914078536d, - 0xda7f5bf590966848, 0x888f99797a5e012d, - 0xaab37fd7d8f58178, 0xd5605fcdcf32e1d6, - 0x855c3be0a17fcd26, 0xa6b34ad8c9dfc06f, - 0xd0601d8efc57b08b, 0x823c12795db6ce57, - 0xa2cb1717b52481ed, 0xcb7ddcdda26da268, - 0xfe5d54150b090b02, 0x9efa548d26e5a6e1, - 0xc6b8e9b0709f109a, 0xf867241c8cc6d4c0, - 0x9b407691d7fc44f8, 0xc21094364dfb5636, - 0xf294b943e17a2bc4, 0x979cf3ca6cec5b5a, - 0xbd8430bd08277231, 0xece53cec4a314ebd, - 0x940f4613ae5ed136, 0xb913179899f68584, - 0xe757dd7ec07426e5, 0x9096ea6f3848984f, - 0xb4bca50b065abe63, 0xe1ebce4dc7f16dfb, - 0x8d3360f09cf6e4bd, 0xb080392cc4349dec, - 0xdca04777f541c567, 0x89e42caaf9491b60, - 0xac5d37d5b79b6239, 0xd77485cb25823ac7, - 0x86a8d39ef77164bc, 0xa8530886b54dbdeb, - 0xd267caa862a12d66, 0x8380dea93da4bc60, - 0xa46116538d0deb78, 0xcd795be870516656, - 0x806bd9714632dff6, 0xa086cfcd97bf97f3, - 0xc8a883c0fdaf7df0, 0xfad2a4b13d1b5d6c, - 0x9cc3a6eec6311a63, 0xc3f490aa77bd60fc, - 0xf4f1b4d515acb93b, 0x991711052d8bf3c5, - 0xbf5cd54678eef0b6, 0xef340a98172aace4, - 0x9580869f0e7aac0e, 0xbae0a846d2195712, - 0xe998d258869facd7, 0x91ff83775423cc06, - 0xb67f6455292cbf08, 0xe41f3d6a7377eeca, - 0x8e938662882af53e, 0xb23867fb2a35b28d, - 0xdec681f9f4c31f31, 0x8b3c113c38f9f37e, - 0xae0b158b4738705e, 0xd98ddaee19068c76, - 0x87f8a8d4cfa417c9, 0xa9f6d30a038d1dbc, - 0xd47487cc8470652b, 0x84c8d4dfd2c63f3b, - 0xa5fb0a17c777cf09, 0xcf79cc9db955c2cc, - 0x81ac1fe293d599bf, 0xa21727db38cb002f, - 0xca9cf1d206fdc03b, 0xfd442e4688bd304a, - 0x9e4a9cec15763e2e, 0xc5dd44271ad3cdba, - 0xf7549530e188c128, 0x9a94dd3e8cf578b9, - 0xc13a148e3032d6e7, 0xf18899b1bc3f8ca1, - 0x96f5600f15a7b7e5, 0xbcb2b812db11a5de, - 0xebdf661791d60f56, 0x936b9fcebb25c995, - 0xb84687c269ef3bfb, 0xe65829b3046b0afa, - 0x8ff71a0fe2c2e6dc, 0xb3f4e093db73a093, - 0xe0f218b8d25088b8, 0x8c974f7383725573, - 0xafbd2350644eeacf, 0xdbac6c247d62a583, - 0x894bc396ce5da772, 0xab9eb47c81f5114f, - 0xd686619ba27255a2, 0x8613fd0145877585, - 0xa798fc4196e952e7, 0xd17f3b51fca3a7a0, - 0x82ef85133de648c4, 0xa3ab66580d5fdaf5, - 0xcc963fee10b7d1b3, 0xffbbcfe994e5c61f, - 0x9fd561f1fd0f9bd3, 0xc7caba6e7c5382c8, - 0xf9bd690a1b68637b, 0x9c1661a651213e2d, - 0xc31bfa0fe5698db8, 0xf3e2f893dec3f126, - 0x986ddb5c6b3a76b7, 0xbe89523386091465, - 0xee2ba6c0678b597f, 0x94db483840b717ef, - 0xba121a4650e4ddeb, 0xe896a0d7e51e1566, - 0x915e2486ef32cd60, 0xb5b5ada8aaff80b8, - 0xe3231912d5bf60e6, 0x8df5efabc5979c8f, - 0xb1736b96b6fd83b3, 0xddd0467c64bce4a0, - 0x8aa22c0dbef60ee4, 0xad4ab7112eb3929d, - 0xd89d64d57a607744, 0x87625f056c7c4a8b, - 0xa93af6c6c79b5d2d, 0xd389b47879823479, - 0x843610cb4bf160cb, 0xa54394fe1eedb8fe, - 0xce947a3da6a9273e, 0x811ccc668829b887, - 0xa163ff802a3426a8, 0xc9bcff6034c13052, - 0xfc2c3f3841f17c67, 0x9d9ba7832936edc0, - 0xc5029163f384a931, 0xf64335bcf065d37d, - 0x99ea0196163fa42e, 0xc06481fb9bcf8d39, - 0xf07da27a82c37088, 0x964e858c91ba2655, - 0xbbe226efb628afea, 0xeadab0aba3b2dbe5, - 0x92c8ae6b464fc96f, 0xb77ada0617e3bbcb, - 0xe55990879ddcaabd, 0x8f57fa54c2a9eab6, - 0xb32df8e9f3546564, 0xdff9772470297ebd, - 0x8bfbea76c619ef36, 0xaefae51477a06b03, - 0xdab99e59958885c4, 0x88b402f7fd75539b, - 0xaae103b5fcd2a881, 0xd59944a37c0752a2, - 0x857fcae62d8493a5, 0xa6dfbd9fb8e5b88e, - 0xd097ad07a71f26b2, 0x825ecc24c873782f, - 0xa2f67f2dfa90563b, 0xcbb41ef979346bca, - 0xfea126b7d78186bc, 0x9f24b832e6b0f436, - 0xc6ede63fa05d3143, 0xf8a95fcf88747d94, - 0x9b69dbe1b548ce7c, 0xc24452da229b021b, - 0xf2d56790ab41c2a2, 0x97c560ba6b0919a5, - 0xbdb6b8e905cb600f, 0xed246723473e3813, - 0x9436c0760c86e30b, 0xb94470938fa89bce, - 0xe7958cb87392c2c2, 0x90bd77f3483bb9b9, - 0xb4ecd5f01a4aa828, 0xe2280b6c20dd5232, - 0x8d590723948a535f, 0xb0af48ec79ace837, - 0xdcdb1b2798182244, 0x8a08f0f8bf0f156b, - 0xac8b2d36eed2dac5, 0xd7adf884aa879177, - 0x86ccbb52ea94baea, 0xa87fea27a539e9a5, - 0xd29fe4b18e88640e, 0x83a3eeeef9153e89, - 0xa48ceaaab75a8e2b, 0xcdb02555653131b6, - 0x808e17555f3ebf11, 0xa0b19d2ab70e6ed6, - 0xc8de047564d20a8b, 0xfb158592be068d2e, - 0x9ced737bb6c4183d, 0xc428d05aa4751e4c, - 0xf53304714d9265df, 0x993fe2c6d07b7fab, - 0xbf8fdb78849a5f96, 0xef73d256a5c0f77c, - 0x95a8637627989aad, 0xbb127c53b17ec159, - 0xe9d71b689dde71af, 0x9226712162ab070d, - 0xb6b00d69bb55c8d1, 0xe45c10c42a2b3b05, - 0x8eb98a7a9a5b04e3, 0xb267ed1940f1c61c, - 0xdf01e85f912e37a3, 0x8b61313bbabce2c6, - 0xae397d8aa96c1b77, 0xd9c7dced53c72255, - 0x881cea14545c7575, 0xaa242499697392d2, - 0xd4ad2dbfc3d07787, 0x84ec3c97da624ab4, - 0xa6274bbdd0fadd61, 0xcfb11ead453994ba, - 0x81ceb32c4b43fcf4, 0xa2425ff75e14fc31, - 0xcad2f7f5359a3b3e, 0xfd87b5f28300ca0d, - 0x9e74d1b791e07e48, 0xc612062576589dda, - 0xf79687aed3eec551, 0x9abe14cd44753b52, - 0xc16d9a0095928a27, 0xf1c90080baf72cb1, - 0x971da05074da7bee, 0xbce5086492111aea, - 0xec1e4a7db69561a5, 0x9392ee8e921d5d07, - 0xb877aa3236a4b449, 0xe69594bec44de15b, - 0x901d7cf73ab0acd9, 0xb424dc35095cd80f, - 0xe12e13424bb40e13, 0x8cbccc096f5088cb, - 0xafebff0bcb24aafe, 0xdbe6fecebdedd5be, - 0x89705f4136b4a597, 0xabcc77118461cefc, - 0xd6bf94d5e57a42bc, 0x8637bd05af6c69b5, - 0xa7c5ac471b478423, 0xd1b71758e219652b, - 0x83126e978d4fdf3b, 0xa3d70a3d70a3d70a, - 0xcccccccccccccccc, 0x8000000000000000, - 0xa000000000000000, 0xc800000000000000, - 0xfa00000000000000, 0x9c40000000000000, - 0xc350000000000000, 0xf424000000000000, - 0x9896800000000000, 0xbebc200000000000, - 0xee6b280000000000, 0x9502f90000000000, - 0xba43b74000000000, 0xe8d4a51000000000, - 0x9184e72a00000000, 0xb5e620f480000000, - 0xe35fa931a0000000, 0x8e1bc9bf04000000, - 0xb1a2bc2ec5000000, 0xde0b6b3a76400000, - 0x8ac7230489e80000, 0xad78ebc5ac620000, - 0xd8d726b7177a8000, 0x878678326eac9000, - 0xa968163f0a57b400, 0xd3c21bcecceda100, - 0x84595161401484a0, 0xa56fa5b99019a5c8, - 0xcecb8f27f4200f3a, 0x813f3978f8940984, - 0xa18f07d736b90be5, 0xc9f2c9cd04674ede, - 0xfc6f7c4045812296, 0x9dc5ada82b70b59d, - 0xc5371912364ce305, 0xf684df56c3e01bc6, - 0x9a130b963a6c115c, 0xc097ce7bc90715b3, - 0xf0bdc21abb48db20, 0x96769950b50d88f4, - 0xbc143fa4e250eb31, 0xeb194f8e1ae525fd, - 0x92efd1b8d0cf37be, 0xb7abc627050305ad, - 0xe596b7b0c643c719, 0x8f7e32ce7bea5c6f, - 0xb35dbf821ae4f38b, 0xe0352f62a19e306e, - 0x8c213d9da502de45, 0xaf298d050e4395d6, - 0xdaf3f04651d47b4c, 0x88d8762bf324cd0f, - 0xab0e93b6efee0053, 0xd5d238a4abe98068, - 0x85a36366eb71f041, 0xa70c3c40a64e6c51, - 0xd0cf4b50cfe20765, 0x82818f1281ed449f, - 0xa321f2d7226895c7, 0xcbea6f8ceb02bb39, - 0xfee50b7025c36a08, 0x9f4f2726179a2245, - 0xc722f0ef9d80aad6, 0xf8ebad2b84e0d58b, - 0x9b934c3b330c8577, 0xc2781f49ffcfa6d5, - 0xf316271c7fc3908a, 0x97edd871cfda3a56, - 0xbde94e8e43d0c8ec, 0xed63a231d4c4fb27, - 0x945e455f24fb1cf8, 0xb975d6b6ee39e436, - 0xe7d34c64a9c85d44, 0x90e40fbeea1d3a4a, - 0xb51d13aea4a488dd, 0xe264589a4dcdab14, - 0x8d7eb76070a08aec, 0xb0de65388cc8ada8, - 0xdd15fe86affad912, 0x8a2dbf142dfcc7ab, - 0xacb92ed9397bf996, 0xd7e77a8f87daf7fb, - 0x86f0ac99b4e8dafd, 0xa8acd7c0222311bc, - 0xd2d80db02aabd62b, 0x83c7088e1aab65db, - 0xa4b8cab1a1563f52, 0xcde6fd5e09abcf26, - 0x80b05e5ac60b6178, 0xa0dc75f1778e39d6, - 0xc913936dd571c84c, 0xfb5878494ace3a5f, - 0x9d174b2dcec0e47b, 0xc45d1df942711d9a, - 0xf5746577930d6500, 0x9968bf6abbe85f20, - 0xbfc2ef456ae276e8, 0xefb3ab16c59b14a2, - 0x95d04aee3b80ece5, 0xbb445da9ca61281f, - 0xea1575143cf97226, 0x924d692ca61be758, - 0xb6e0c377cfa2e12e, 0xe498f455c38b997a, - 0x8edf98b59a373fec, 0xb2977ee300c50fe7, - 0xdf3d5e9bc0f653e1, 0x8b865b215899f46c, - 0xae67f1e9aec07187, 0xda01ee641a708de9, - 0x884134fe908658b2, 0xaa51823e34a7eede, - 0xd4e5e2cdc1d1ea96, 0x850fadc09923329e, - 0xa6539930bf6bff45, 0xcfe87f7cef46ff16, - 0x81f14fae158c5f6e, 0xa26da3999aef7749, - 0xcb090c8001ab551c, 0xfdcb4fa002162a63, - 0x9e9f11c4014dda7e, 0xc646d63501a1511d, - 0xf7d88bc24209a565, 0x9ae757596946075f, - 0xc1a12d2fc3978937, 0xf209787bb47d6b84, - 0x9745eb4d50ce6332, 0xbd176620a501fbff, - 0xec5d3fa8ce427aff, 0x93ba47c980e98cdf, - 0xb8a8d9bbe123f017, 0xe6d3102ad96cec1d, - 0x9043ea1ac7e41392, 0xb454e4a179dd1877, - 0xe16a1dc9d8545e94, 0x8ce2529e2734bb1d, - 0xb01ae745b101e9e4, 0xdc21a1171d42645d, - 0x899504ae72497eba, 0xabfa45da0edbde69, - 0xd6f8d7509292d603, 0x865b86925b9bc5c2, - 0xa7f26836f282b732, 0xd1ef0244af2364ff, - 0x8335616aed761f1f, 0xa402b9c5a8d3a6e7, - 0xcd036837130890a1, 0x802221226be55a64, - 0xa02aa96b06deb0fd, 0xc83553c5c8965d3d, - 0xfa42a8b73abbf48c, 0x9c69a97284b578d7, - 0xc38413cf25e2d70d, 0xf46518c2ef5b8cd1, - 0x98bf2f79d5993802, 0xbeeefb584aff8603, - 0xeeaaba2e5dbf6784, 0x952ab45cfa97a0b2, - 0xba756174393d88df, 0xe912b9d1478ceb17, - 0x91abb422ccb812ee, 0xb616a12b7fe617aa, - 0xe39c49765fdf9d94, 0x8e41ade9fbebc27d, - 0xb1d219647ae6b31c, 0xde469fbd99a05fe3, - 0x8aec23d680043bee, 0xada72ccc20054ae9, - 0xd910f7ff28069da4, 0x87aa9aff79042286, - 0xa99541bf57452b28, 0xd3fa922f2d1675f2, - 0x847c9b5d7c2e09b7, 0xa59bc234db398c25, - 0xcf02b2c21207ef2e, 0x8161afb94b44f57d, - 0xa1ba1ba79e1632dc, 0xca28a291859bbf93, - 0xfcb2cb35e702af78, 0x9defbf01b061adab, - 0xc56baec21c7a1916, 0xf6c69a72a3989f5b, - 0x9a3c2087a63f6399, 0xc0cb28a98fcf3c7f, - 0xf0fdf2d3f3c30b9f, 0x969eb7c47859e743, - 0xbc4665b596706114, 0xeb57ff22fc0c7959, - 0x9316ff75dd87cbd8, 0xb7dcbf5354e9bece, - 0xe5d3ef282a242e81, 0x8fa475791a569d10, - 0xb38d92d760ec4455, 0xe070f78d3927556a, - 0x8c469ab843b89562, 0xaf58416654a6babb, - 0xdb2e51bfe9d0696a, 0x88fcf317f22241e2, - 0xab3c2fddeeaad25a, 0xd60b3bd56a5586f1, - 0x85c7056562757456, 0xa738c6bebb12d16c, - 0xd106f86e69d785c7, 0x82a45b450226b39c, - 0xa34d721642b06084, 0xcc20ce9bd35c78a5, - 0xff290242c83396ce, 0x9f79a169bd203e41, - 0xc75809c42c684dd1, 0xf92e0c3537826145, - 0x9bbcc7a142b17ccb, 0xc2abf989935ddbfe, - 0xf356f7ebf83552fe, 0x98165af37b2153de, - 0xbe1bf1b059e9a8d6, 0xeda2ee1c7064130c, - 0x9485d4d1c63e8be7, 0xb9a74a0637ce2ee1, - 0xe8111c87c5c1ba99, 0x910ab1d4db9914a0, - 0xb54d5e4a127f59c8, 0xe2a0b5dc971f303a, - 0x8da471a9de737e24, 0xb10d8e1456105dad, - 0xdd50f1996b947518, 0x8a5296ffe33cc92f, - 0xace73cbfdc0bfb7b, 0xd8210befd30efa5a, - 0x8714a775e3e95c78, 0xa8d9d1535ce3b396, - 0xd31045a8341ca07c, 0x83ea2b892091e44d, - 0xa4e4b66b68b65d60, 0xce1de40642e3f4b9, - 0x80d2ae83e9ce78f3, 0xa1075a24e4421730, - 0xc94930ae1d529cfc, 0xfb9b7cd9a4a7443c, - 0x9d412e0806e88aa5, 0xc491798a08a2ad4e, - 0xf5b5d7ec8acb58a2, 0x9991a6f3d6bf1765, - 0xbff610b0cc6edd3f, 0xeff394dcff8a948e, - 0x95f83d0a1fb69cd9, 0xbb764c4ca7a4440f, - 0xea53df5fd18d5513, 0x92746b9be2f8552c, - 0xb7118682dbb66a77, 0xe4d5e82392a40515, - 0x8f05b1163ba6832d, 0xb2c71d5bca9023f8, - 0xdf78e4b2bd342cf6, 0x8bab8eefb6409c1a, - 0xae9672aba3d0c320, 0xda3c0f568cc4f3e8, - 0x8865899617fb1871, 0xaa7eebfb9df9de8d, - 0xd51ea6fa85785631, 0x8533285c936b35de, - 0xa67ff273b8460356, 0xd01fef10a657842c, - 0x8213f56a67f6b29b, 0xa298f2c501f45f42, - 0xcb3f2f7642717713, 0xfe0efb53d30dd4d7, - 0x9ec95d1463e8a506, 0xc67bb4597ce2ce48, - 0xf81aa16fdc1b81da, 0x9b10a4e5e9913128, - 0xc1d4ce1f63f57d72, 0xf24a01a73cf2dccf, - 0x976e41088617ca01, 0xbd49d14aa79dbc82, - 0xec9c459d51852ba2, 0x93e1ab8252f33b45, - 0xb8da1662e7b00a17, 0xe7109bfba19c0c9d, - 0x906a617d450187e2, 0xb484f9dc9641e9da, - 0xe1a63853bbd26451, 0x8d07e33455637eb2, - 0xb049dc016abc5e5f, 0xdc5c5301c56b75f7, - 0x89b9b3e11b6329ba, 0xac2820d9623bf429, - 0xd732290fbacaf133, 0x867f59a9d4bed6c0, - 0xa81f301449ee8c70, 0xd226fc195c6a2f8c, - 0x83585d8fd9c25db7, 0xa42e74f3d032f525, - 0xcd3a1230c43fb26f, 0x80444b5e7aa7cf85, - 0xa0555e361951c366, 0xc86ab5c39fa63440, - 0xfa856334878fc150, 0x9c935e00d4b9d8d2, - 0xc3b8358109e84f07, 0xf4a642e14c6262c8, - 0x98e7e9cccfbd7dbd, 0xbf21e44003acdd2c, - 0xeeea5d5004981478, 0x95527a5202df0ccb, - 0xbaa718e68396cffd, 0xe950df20247c83fd, - 0x91d28b7416cdd27e, 0xb6472e511c81471d, - 0xe3d8f9e563a198e5, 0x8e679c2f5e44ff8f}; -// A complement to mantissa_64 -// complete to a 128-bit mantissa. -// Uses about 5KB but is rarely accessed. -const uint64_t mantissa_128[] = { - 0x419ea3bd35385e2d, 0x52064cac828675b9, - 0x7343efebd1940993, 0x1014ebe6c5f90bf8, - 0xd41a26e077774ef6, 0x8920b098955522b4, - 0x55b46e5f5d5535b0, 0xeb2189f734aa831d, - 0xa5e9ec7501d523e4, 0x47b233c92125366e, - 0x999ec0bb696e840a, 0xc00670ea43ca250d, - 0x380406926a5e5728, 0xc605083704f5ecf2, - 0xf7864a44c633682e, 0x7ab3ee6afbe0211d, - 0x5960ea05bad82964, 0x6fb92487298e33bd, - 0xa5d3b6d479f8e056, 0x8f48a4899877186c, - 0x331acdabfe94de87, 0x9ff0c08b7f1d0b14, - 0x7ecf0ae5ee44dd9, 0xc9e82cd9f69d6150, - 0xbe311c083a225cd2, 0x6dbd630a48aaf406, - 0x92cbbccdad5b108, 0x25bbf56008c58ea5, - 0xaf2af2b80af6f24e, 0x1af5af660db4aee1, - 0x50d98d9fc890ed4d, 0xe50ff107bab528a0, - 0x1e53ed49a96272c8, 0x25e8e89c13bb0f7a, - 0x77b191618c54e9ac, 0xd59df5b9ef6a2417, - 0x4b0573286b44ad1d, 0x4ee367f9430aec32, - 0x229c41f793cda73f, 0x6b43527578c1110f, - 0x830a13896b78aaa9, 0x23cc986bc656d553, - 0x2cbfbe86b7ec8aa8, 0x7bf7d71432f3d6a9, - 0xdaf5ccd93fb0cc53, 0xd1b3400f8f9cff68, - 0x23100809b9c21fa1, 0xabd40a0c2832a78a, - 0x16c90c8f323f516c, 0xae3da7d97f6792e3, - 0x99cd11cfdf41779c, 0x40405643d711d583, - 0x482835ea666b2572, 0xda3243650005eecf, - 0x90bed43e40076a82, 0x5a7744a6e804a291, - 0x711515d0a205cb36, 0xd5a5b44ca873e03, - 0xe858790afe9486c2, 0x626e974dbe39a872, - 0xfb0a3d212dc8128f, 0x7ce66634bc9d0b99, - 0x1c1fffc1ebc44e80, 0xa327ffb266b56220, - 0x4bf1ff9f0062baa8, 0x6f773fc3603db4a9, - 0xcb550fb4384d21d3, 0x7e2a53a146606a48, - 0x2eda7444cbfc426d, 0xfa911155fefb5308, - 0x793555ab7eba27ca, 0x4bc1558b2f3458de, - 0x9eb1aaedfb016f16, 0x465e15a979c1cadc, - 0xbfacd89ec191ec9, 0xcef980ec671f667b, - 0x82b7e12780e7401a, 0xd1b2ecb8b0908810, - 0x861fa7e6dcb4aa15, 0x67a791e093e1d49a, - 0xe0c8bb2c5c6d24e0, 0x58fae9f773886e18, - 0xaf39a475506a899e, 0x6d8406c952429603, - 0xc8e5087ba6d33b83, 0xfb1e4a9a90880a64, - 0x5cf2eea09a55067f, 0xf42faa48c0ea481e, - 0xf13b94daf124da26, 0x76c53d08d6b70858, - 0x54768c4b0c64ca6e, 0xa9942f5dcf7dfd09, - 0xd3f93b35435d7c4c, 0xc47bc5014a1a6daf, - 0x359ab6419ca1091b, 0xc30163d203c94b62, - 0x79e0de63425dcf1d, 0x985915fc12f542e4, - 0x3e6f5b7b17b2939d, 0xa705992ceecf9c42, - 0x50c6ff782a838353, 0xa4f8bf5635246428, - 0x871b7795e136be99, 0x28e2557b59846e3f, - 0x331aeada2fe589cf, 0x3ff0d2c85def7621, - 0xfed077a756b53a9, 0xd3e8495912c62894, - 0x64712dd7abbbd95c, 0xbd8d794d96aacfb3, - 0xecf0d7a0fc5583a0, 0xf41686c49db57244, - 0x311c2875c522ced5, 0x7d633293366b828b, - 0xae5dff9c02033197, 0xd9f57f830283fdfc, - 0xd072df63c324fd7b, 0x4247cb9e59f71e6d, - 0x52d9be85f074e608, 0x67902e276c921f8b, - 0xba1cd8a3db53b6, 0x80e8a40eccd228a4, - 0x6122cd128006b2cd, 0x796b805720085f81, - 0xcbe3303674053bb0, 0xbedbfc4411068a9c, - 0xee92fb5515482d44, 0x751bdd152d4d1c4a, - 0xd262d45a78a0635d, 0x86fb897116c87c34, - 0xd45d35e6ae3d4da0, 0x8974836059cca109, - 0x2bd1a438703fc94b, 0x7b6306a34627ddcf, - 0x1a3bc84c17b1d542, 0x20caba5f1d9e4a93, - 0x547eb47b7282ee9c, 0xe99e619a4f23aa43, - 0x6405fa00e2ec94d4, 0xde83bc408dd3dd04, - 0x9624ab50b148d445, 0x3badd624dd9b0957, - 0xe54ca5d70a80e5d6, 0x5e9fcf4ccd211f4c, - 0x7647c3200069671f, 0x29ecd9f40041e073, - 0xf468107100525890, 0x7182148d4066eeb4, - 0xc6f14cd848405530, 0xb8ada00e5a506a7c, - 0xa6d90811f0e4851c, 0x908f4a166d1da663, - 0x9a598e4e043287fe, 0x40eff1e1853f29fd, - 0xd12bee59e68ef47c, 0x82bb74f8301958ce, - 0xe36a52363c1faf01, 0xdc44e6c3cb279ac1, - 0x29ab103a5ef8c0b9, 0x7415d448f6b6f0e7, - 0x111b495b3464ad21, 0xcab10dd900beec34, - 0x3d5d514f40eea742, 0xcb4a5a3112a5112, - 0x47f0e785eaba72ab, 0x59ed216765690f56, - 0x306869c13ec3532c, 0x1e414218c73a13fb, - 0xe5d1929ef90898fa, 0xdf45f746b74abf39, - 0x6b8bba8c328eb783, 0x66ea92f3f326564, - 0xc80a537b0efefebd, 0xbd06742ce95f5f36, - 0x2c48113823b73704, 0xf75a15862ca504c5, - 0x9a984d73dbe722fb, 0xc13e60d0d2e0ebba, - 0x318df905079926a8, 0xfdf17746497f7052, - 0xfeb6ea8bedefa633, 0xfe64a52ee96b8fc0, - 0x3dfdce7aa3c673b0, 0x6bea10ca65c084e, - 0x486e494fcff30a62, 0x5a89dba3c3efccfa, - 0xf89629465a75e01c, 0xf6bbb397f1135823, - 0x746aa07ded582e2c, 0xa8c2a44eb4571cdc, - 0x92f34d62616ce413, 0x77b020baf9c81d17, - 0xace1474dc1d122e, 0xd819992132456ba, - 0x10e1fff697ed6c69, 0xca8d3ffa1ef463c1, - 0xbd308ff8a6b17cb2, 0xac7cb3f6d05ddbde, - 0x6bcdf07a423aa96b, 0x86c16c98d2c953c6, - 0xe871c7bf077ba8b7, 0x11471cd764ad4972, - 0xd598e40d3dd89bcf, 0x4aff1d108d4ec2c3, - 0xcedf722a585139ba, 0xc2974eb4ee658828, - 0x733d226229feea32, 0x806357d5a3f525f, - 0xca07c2dcb0cf26f7, 0xfc89b393dd02f0b5, - 0xbbac2078d443ace2, 0xd54b944b84aa4c0d, - 0xa9e795e65d4df11, 0x4d4617b5ff4a16d5, - 0x504bced1bf8e4e45, 0xe45ec2862f71e1d6, - 0x5d767327bb4e5a4c, 0x3a6a07f8d510f86f, - 0x890489f70a55368b, 0x2b45ac74ccea842e, - 0x3b0b8bc90012929d, 0x9ce6ebb40173744, - 0xcc420a6a101d0515, 0x9fa946824a12232d, - 0x47939822dc96abf9, 0x59787e2b93bc56f7, - 0x57eb4edb3c55b65a, 0xede622920b6b23f1, - 0xe95fab368e45eced, 0x11dbcb0218ebb414, - 0xd652bdc29f26a119, 0x4be76d3346f0495f, - 0x6f70a4400c562ddb, 0xcb4ccd500f6bb952, - 0x7e2000a41346a7a7, 0x8ed400668c0c28c8, - 0x728900802f0f32fa, 0x4f2b40a03ad2ffb9, - 0xe2f610c84987bfa8, 0xdd9ca7d2df4d7c9, - 0x91503d1c79720dbb, 0x75a44c6397ce912a, - 0xc986afbe3ee11aba, 0xfbe85badce996168, - 0xfae27299423fb9c3, 0xdccd879fc967d41a, - 0x5400e987bbc1c920, 0x290123e9aab23b68, - 0xf9a0b6720aaf6521, 0xf808e40e8d5b3e69, - 0xb60b1d1230b20e04, 0xb1c6f22b5e6f48c2, - 0x1e38aeb6360b1af3, 0x25c6da63c38de1b0, - 0x579c487e5a38ad0e, 0x2d835a9df0c6d851, - 0xf8e431456cf88e65, 0x1b8e9ecb641b58ff, - 0xe272467e3d222f3f, 0x5b0ed81dcc6abb0f, - 0x98e947129fc2b4e9, 0x3f2398d747b36224, - 0x8eec7f0d19a03aad, 0x1953cf68300424ac, - 0x5fa8c3423c052dd7, 0x3792f412cb06794d, - 0xe2bbd88bbee40bd0, 0x5b6aceaeae9d0ec4, - 0xf245825a5a445275, 0xeed6e2f0f0d56712, - 0x55464dd69685606b, 0xaa97e14c3c26b886, - 0xd53dd99f4b3066a8, 0xe546a8038efe4029, - 0xde98520472bdd033, 0x963e66858f6d4440, - 0xdde7001379a44aa8, 0x5560c018580d5d52, - 0xaab8f01e6e10b4a6, 0xcab3961304ca70e8, - 0x3d607b97c5fd0d22, 0x8cb89a7db77c506a, - 0x77f3608e92adb242, 0x55f038b237591ed3, - 0x6b6c46dec52f6688, 0x2323ac4b3b3da015, - 0xabec975e0a0d081a, 0x96e7bd358c904a21, - 0x7e50d64177da2e54, 0xdde50bd1d5d0b9e9, - 0x955e4ec64b44e864, 0xbd5af13bef0b113e, - 0xecb1ad8aeacdd58e, 0x67de18eda5814af2, - 0x80eacf948770ced7, 0xa1258379a94d028d, - 0x96ee45813a04330, 0x8bca9d6e188853fc, - 0x775ea264cf55347d, 0x95364afe032a819d, - 0x3a83ddbd83f52204, 0xc4926a9672793542, - 0x75b7053c0f178293, 0x5324c68b12dd6338, - 0xd3f6fc16ebca5e03, 0x88f4bb1ca6bcf584, - 0x2b31e9e3d06c32e5, 0x3aff322e62439fcf, - 0x9befeb9fad487c2, 0x4c2ebe687989a9b3, - 0xf9d37014bf60a10, 0x538484c19ef38c94, - 0x2865a5f206b06fb9, 0xf93f87b7442e45d3, - 0xf78f69a51539d748, 0xb573440e5a884d1b, - 0x31680a88f8953030, 0xfdc20d2b36ba7c3d, - 0x3d32907604691b4c, 0xa63f9a49c2c1b10f, - 0xfcf80dc33721d53, 0xd3c36113404ea4a8, - 0x645a1cac083126e9, 0x3d70a3d70a3d70a3, - 0xcccccccccccccccc, 0x0, - 0x0, 0x0, - 0x0, 0x0, - 0x0, 0x0, - 0x0, 0x0, - 0x0, 0x0, - 0x0, 0x0, - 0x0, 0x0, - 0x0, 0x0, - 0x0, 0x0, - 0x0, 0x0, - 0x0, 0x0, - 0x0, 0x0, - 0x0, 0x0, - 0x0, 0x4000000000000000, - 0x5000000000000000, 0xa400000000000000, - 0x4d00000000000000, 0xf020000000000000, - 0x6c28000000000000, 0xc732000000000000, - 0x3c7f400000000000, 0x4b9f100000000000, - 0x1e86d40000000000, 0x1314448000000000, - 0x17d955a000000000, 0x5dcfab0800000000, - 0x5aa1cae500000000, 0xf14a3d9e40000000, - 0x6d9ccd05d0000000, 0xe4820023a2000000, - 0xdda2802c8a800000, 0xd50b2037ad200000, - 0x4526f422cc340000, 0x9670b12b7f410000, - 0x3c0cdd765f114000, 0xa5880a69fb6ac800, - 0x8eea0d047a457a00, 0x72a4904598d6d880, - 0x47a6da2b7f864750, 0x999090b65f67d924, - 0xfff4b4e3f741cf6d, 0xbff8f10e7a8921a4, - 0xaff72d52192b6a0d, 0x9bf4f8a69f764490, - 0x2f236d04753d5b4, 0x1d762422c946590, - 0x424d3ad2b7b97ef5, 0xd2e0898765a7deb2, - 0x63cc55f49f88eb2f, 0x3cbf6b71c76b25fb, - 0x8bef464e3945ef7a, 0x97758bf0e3cbb5ac, - 0x3d52eeed1cbea317, 0x4ca7aaa863ee4bdd, - 0x8fe8caa93e74ef6a, 0xb3e2fd538e122b44, - 0x60dbbca87196b616, 0xbc8955e946fe31cd, - 0x6babab6398bdbe41, 0xc696963c7eed2dd1, - 0xfc1e1de5cf543ca2, 0x3b25a55f43294bcb, - 0x49ef0eb713f39ebe, 0x6e3569326c784337, - 0x49c2c37f07965404, 0xdc33745ec97be906, - 0x69a028bb3ded71a3, 0xc40832ea0d68ce0c, - 0xf50a3fa490c30190, 0x792667c6da79e0fa, - 0x577001b891185938, 0xed4c0226b55e6f86, - 0x544f8158315b05b4, 0x696361ae3db1c721, - 0x3bc3a19cd1e38e9, 0x4ab48a04065c723, - 0x62eb0d64283f9c76, 0x3ba5d0bd324f8394, - 0xca8f44ec7ee36479, 0x7e998b13cf4e1ecb, - 0x9e3fedd8c321a67e, 0xc5cfe94ef3ea101e, - 0xbba1f1d158724a12, 0x2a8a6e45ae8edc97, - 0xf52d09d71a3293bd, 0x593c2626705f9c56, - 0x6f8b2fb00c77836c, 0xb6dfb9c0f956447, - 0x4724bd4189bd5eac, 0x58edec91ec2cb657, - 0x2f2967b66737e3ed, 0xbd79e0d20082ee74, - 0xecd8590680a3aa11, 0xe80e6f4820cc9495, - 0x3109058d147fdcdd, 0xbd4b46f0599fd415, - 0x6c9e18ac7007c91a, 0x3e2cf6bc604ddb0, - 0x84db8346b786151c, 0xe612641865679a63, - 0x4fcb7e8f3f60c07e, 0xe3be5e330f38f09d, - 0x5cadf5bfd3072cc5, 0x73d9732fc7c8f7f6, - 0x2867e7fddcdd9afa, 0xb281e1fd541501b8, - 0x1f225a7ca91a4226, 0x3375788de9b06958, - 0x52d6b1641c83ae, 0xc0678c5dbd23a49a, - 0xf840b7ba963646e0, 0xb650e5a93bc3d898, - 0xa3e51f138ab4cebe, 0xc66f336c36b10137, - 0xb80b0047445d4184, 0xa60dc059157491e5, - 0x87c89837ad68db2f, 0x29babe4598c311fb, - 0xf4296dd6fef3d67a, 0x1899e4a65f58660c, - 0x5ec05dcff72e7f8f, 0x76707543f4fa1f73, - 0x6a06494a791c53a8, 0x487db9d17636892, - 0x45a9d2845d3c42b6, 0xb8a2392ba45a9b2, - 0x8e6cac7768d7141e, 0x3207d795430cd926, - 0x7f44e6bd49e807b8, 0x5f16206c9c6209a6, - 0x36dba887c37a8c0f, 0xc2494954da2c9789, - 0xf2db9baa10b7bd6c, 0x6f92829494e5acc7, - 0xcb772339ba1f17f9, 0xff2a760414536efb, - 0xfef5138519684aba, 0x7eb258665fc25d69, - 0xef2f773ffbd97a61, 0xaafb550ffacfd8fa, - 0x95ba2a53f983cf38, 0xdd945a747bf26183, - 0x94f971119aeef9e4, 0x7a37cd5601aab85d, - 0xac62e055c10ab33a, 0x577b986b314d6009, - 0xed5a7e85fda0b80b, 0x14588f13be847307, - 0x596eb2d8ae258fc8, 0x6fca5f8ed9aef3bb, - 0x25de7bb9480d5854, 0xaf561aa79a10ae6a, - 0x1b2ba1518094da04, 0x90fb44d2f05d0842, - 0x353a1607ac744a53, 0x42889b8997915ce8, - 0x69956135febada11, 0x43fab9837e699095, - 0x94f967e45e03f4bb, 0x1d1be0eebac278f5, - 0x6462d92a69731732, 0x7d7b8f7503cfdcfe, - 0x5cda735244c3d43e, 0x3a0888136afa64a7, - 0x88aaa1845b8fdd0, 0x8aad549e57273d45, - 0x36ac54e2f678864b, 0x84576a1bb416a7dd, - 0x656d44a2a11c51d5, 0x9f644ae5a4b1b325, - 0x873d5d9f0dde1fee, 0xa90cb506d155a7ea, - 0x9a7f12442d588f2, 0xc11ed6d538aeb2f, - 0x8f1668c8a86da5fa, 0xf96e017d694487bc, - 0x37c981dcc395a9ac, 0x85bbe253f47b1417, - 0x93956d7478ccec8e, 0x387ac8d1970027b2, - 0x6997b05fcc0319e, 0x441fece3bdf81f03, - 0xd527e81cad7626c3, 0x8a71e223d8d3b074, - 0xf6872d5667844e49, 0xb428f8ac016561db, - 0xe13336d701beba52, 0xecc0024661173473, - 0x27f002d7f95d0190, 0x31ec038df7b441f4, - 0x7e67047175a15271, 0xf0062c6e984d386, - 0x52c07b78a3e60868, 0xa7709a56ccdf8a82, - 0x88a66076400bb691, 0x6acff893d00ea435, - 0x583f6b8c4124d43, 0xc3727a337a8b704a, - 0x744f18c0592e4c5c, 0x1162def06f79df73, - 0x8addcb5645ac2ba8, 0x6d953e2bd7173692, - 0xc8fa8db6ccdd0437, 0x1d9c9892400a22a2, - 0x2503beb6d00cab4b, 0x2e44ae64840fd61d, - 0x5ceaecfed289e5d2, 0x7425a83e872c5f47, - 0xd12f124e28f77719, 0x82bd6b70d99aaa6f, - 0x636cc64d1001550b, 0x3c47f7e05401aa4e, - 0x65acfaec34810a71, 0x7f1839a741a14d0d, - 0x1ede48111209a050, 0x934aed0aab460432, - 0xf81da84d5617853f, 0x36251260ab9d668e, - 0xc1d72b7c6b426019, 0xb24cf65b8612f81f, - 0xdee033f26797b627, 0x169840ef017da3b1, - 0x8e1f289560ee864e, 0xf1a6f2bab92a27e2, - 0xae10af696774b1db, 0xacca6da1e0a8ef29, - 0x17fd090a58d32af3, 0xddfc4b4cef07f5b0, - 0x4abdaf101564f98e, 0x9d6d1ad41abe37f1, - 0x84c86189216dc5ed, 0x32fd3cf5b4e49bb4, - 0x3fbc8c33221dc2a1, 0xfabaf3feaa5334a, - 0x29cb4d87f2a7400e, 0x743e20e9ef511012, - 0x914da9246b255416, 0x1ad089b6c2f7548e, - 0xa184ac2473b529b1, 0xc9e5d72d90a2741e, - 0x7e2fa67c7a658892, 0xddbb901b98feeab7, - 0x552a74227f3ea565, 0xd53a88958f87275f, - 0x8a892abaf368f137, 0x2d2b7569b0432d85, - 0x9c3b29620e29fc73, 0x8349f3ba91b47b8f, - 0x241c70a936219a73, 0xed238cd383aa0110, - 0xf4363804324a40aa, 0xb143c6053edcd0d5, - 0xdd94b7868e94050a, 0xca7cf2b4191c8326, - 0xfd1c2f611f63a3f0, 0xbc633b39673c8cec, - 0xd5be0503e085d813, 0x4b2d8644d8a74e18, - 0xddf8e7d60ed1219e, 0xcabb90e5c942b503, - 0x3d6a751f3b936243, 0xcc512670a783ad4, - 0x27fb2b80668b24c5, 0xb1f9f660802dedf6, - 0x5e7873f8a0396973, 0xdb0b487b6423e1e8, - 0x91ce1a9a3d2cda62, 0x7641a140cc7810fb, - 0xa9e904c87fcb0a9d, 0x546345fa9fbdcd44, - 0xa97c177947ad4095, 0x49ed8eabcccc485d, - 0x5c68f256bfff5a74, 0x73832eec6fff3111, - 0xc831fd53c5ff7eab, 0xba3e7ca8b77f5e55, - 0x28ce1bd2e55f35eb, 0x7980d163cf5b81b3, - 0xd7e105bcc332621f, 0x8dd9472bf3fefaa7, - 0xb14f98f6f0feb951, 0x6ed1bf9a569f33d3, - 0xa862f80ec4700c8, 0xcd27bb612758c0fa, - 0x8038d51cb897789c, 0xe0470a63e6bd56c3, - 0x1858ccfce06cac74, 0xf37801e0c43ebc8, - 0xd30560258f54e6ba, 0x47c6b82ef32a2069, - 0x4cdc331d57fa5441, 0xe0133fe4adf8e952, - 0x58180fddd97723a6, 0x570f09eaa7ea7648,}; +SIMDJSON_DLLIMPORTEXPORT const uint64_t power_of_five_128[]= { + 0xeef453d6923bd65a,0x113faa2906a13b3f, + 0x9558b4661b6565f8,0x4ac7ca59a424c507, + 0xbaaee17fa23ebf76,0x5d79bcf00d2df649, + 0xe95a99df8ace6f53,0xf4d82c2c107973dc, + 0x91d8a02bb6c10594,0x79071b9b8a4be869, + 0xb64ec836a47146f9,0x9748e2826cdee284, + 0xe3e27a444d8d98b7,0xfd1b1b2308169b25, + 0x8e6d8c6ab0787f72,0xfe30f0f5e50e20f7, + 0xb208ef855c969f4f,0xbdbd2d335e51a935, + 0xde8b2b66b3bc4723,0xad2c788035e61382, + 0x8b16fb203055ac76,0x4c3bcb5021afcc31, + 0xaddcb9e83c6b1793,0xdf4abe242a1bbf3d, + 0xd953e8624b85dd78,0xd71d6dad34a2af0d, + 0x87d4713d6f33aa6b,0x8672648c40e5ad68, + 0xa9c98d8ccb009506,0x680efdaf511f18c2, + 0xd43bf0effdc0ba48,0x212bd1b2566def2, + 0x84a57695fe98746d,0x14bb630f7604b57, + 0xa5ced43b7e3e9188,0x419ea3bd35385e2d, + 0xcf42894a5dce35ea,0x52064cac828675b9, + 0x818995ce7aa0e1b2,0x7343efebd1940993, + 0xa1ebfb4219491a1f,0x1014ebe6c5f90bf8, + 0xca66fa129f9b60a6,0xd41a26e077774ef6, + 0xfd00b897478238d0,0x8920b098955522b4, + 0x9e20735e8cb16382,0x55b46e5f5d5535b0, + 0xc5a890362fddbc62,0xeb2189f734aa831d, + 0xf712b443bbd52b7b,0xa5e9ec7501d523e4, + 0x9a6bb0aa55653b2d,0x47b233c92125366e, + 0xc1069cd4eabe89f8,0x999ec0bb696e840a, + 0xf148440a256e2c76,0xc00670ea43ca250d, + 0x96cd2a865764dbca,0x380406926a5e5728, + 0xbc807527ed3e12bc,0xc605083704f5ecf2, + 0xeba09271e88d976b,0xf7864a44c633682e, + 0x93445b8731587ea3,0x7ab3ee6afbe0211d, + 0xb8157268fdae9e4c,0x5960ea05bad82964, + 0xe61acf033d1a45df,0x6fb92487298e33bd, + 0x8fd0c16206306bab,0xa5d3b6d479f8e056, + 0xb3c4f1ba87bc8696,0x8f48a4899877186c, + 0xe0b62e2929aba83c,0x331acdabfe94de87, + 0x8c71dcd9ba0b4925,0x9ff0c08b7f1d0b14, + 0xaf8e5410288e1b6f,0x7ecf0ae5ee44dd9, + 0xdb71e91432b1a24a,0xc9e82cd9f69d6150, + 0x892731ac9faf056e,0xbe311c083a225cd2, + 0xab70fe17c79ac6ca,0x6dbd630a48aaf406, + 0xd64d3d9db981787d,0x92cbbccdad5b108, + 0x85f0468293f0eb4e,0x25bbf56008c58ea5, + 0xa76c582338ed2621,0xaf2af2b80af6f24e, + 0xd1476e2c07286faa,0x1af5af660db4aee1, + 0x82cca4db847945ca,0x50d98d9fc890ed4d, + 0xa37fce126597973c,0xe50ff107bab528a0, + 0xcc5fc196fefd7d0c,0x1e53ed49a96272c8, + 0xff77b1fcbebcdc4f,0x25e8e89c13bb0f7a, + 0x9faacf3df73609b1,0x77b191618c54e9ac, + 0xc795830d75038c1d,0xd59df5b9ef6a2417, + 0xf97ae3d0d2446f25,0x4b0573286b44ad1d, + 0x9becce62836ac577,0x4ee367f9430aec32, + 0xc2e801fb244576d5,0x229c41f793cda73f, + 0xf3a20279ed56d48a,0x6b43527578c1110f, + 0x9845418c345644d6,0x830a13896b78aaa9, + 0xbe5691ef416bd60c,0x23cc986bc656d553, + 0xedec366b11c6cb8f,0x2cbfbe86b7ec8aa8, + 0x94b3a202eb1c3f39,0x7bf7d71432f3d6a9, + 0xb9e08a83a5e34f07,0xdaf5ccd93fb0cc53, + 0xe858ad248f5c22c9,0xd1b3400f8f9cff68, + 0x91376c36d99995be,0x23100809b9c21fa1, + 0xb58547448ffffb2d,0xabd40a0c2832a78a, + 0xe2e69915b3fff9f9,0x16c90c8f323f516c, + 0x8dd01fad907ffc3b,0xae3da7d97f6792e3, + 0xb1442798f49ffb4a,0x99cd11cfdf41779c, + 0xdd95317f31c7fa1d,0x40405643d711d583, + 0x8a7d3eef7f1cfc52,0x482835ea666b2572, + 0xad1c8eab5ee43b66,0xda3243650005eecf, + 0xd863b256369d4a40,0x90bed43e40076a82, + 0x873e4f75e2224e68,0x5a7744a6e804a291, + 0xa90de3535aaae202,0x711515d0a205cb36, + 0xd3515c2831559a83,0xd5a5b44ca873e03, + 0x8412d9991ed58091,0xe858790afe9486c2, + 0xa5178fff668ae0b6,0x626e974dbe39a872, + 0xce5d73ff402d98e3,0xfb0a3d212dc8128f, + 0x80fa687f881c7f8e,0x7ce66634bc9d0b99, + 0xa139029f6a239f72,0x1c1fffc1ebc44e80, + 0xc987434744ac874e,0xa327ffb266b56220, + 0xfbe9141915d7a922,0x4bf1ff9f0062baa8, + 0x9d71ac8fada6c9b5,0x6f773fc3603db4a9, + 0xc4ce17b399107c22,0xcb550fb4384d21d3, + 0xf6019da07f549b2b,0x7e2a53a146606a48, + 0x99c102844f94e0fb,0x2eda7444cbfc426d, + 0xc0314325637a1939,0xfa911155fefb5308, + 0xf03d93eebc589f88,0x793555ab7eba27ca, + 0x96267c7535b763b5,0x4bc1558b2f3458de, + 0xbbb01b9283253ca2,0x9eb1aaedfb016f16, + 0xea9c227723ee8bcb,0x465e15a979c1cadc, + 0x92a1958a7675175f,0xbfacd89ec191ec9, + 0xb749faed14125d36,0xcef980ec671f667b, + 0xe51c79a85916f484,0x82b7e12780e7401a, + 0x8f31cc0937ae58d2,0xd1b2ecb8b0908810, + 0xb2fe3f0b8599ef07,0x861fa7e6dcb4aa15, + 0xdfbdcece67006ac9,0x67a791e093e1d49a, + 0x8bd6a141006042bd,0xe0c8bb2c5c6d24e0, + 0xaecc49914078536d,0x58fae9f773886e18, + 0xda7f5bf590966848,0xaf39a475506a899e, + 0x888f99797a5e012d,0x6d8406c952429603, + 0xaab37fd7d8f58178,0xc8e5087ba6d33b83, + 0xd5605fcdcf32e1d6,0xfb1e4a9a90880a64, + 0x855c3be0a17fcd26,0x5cf2eea09a55067f, + 0xa6b34ad8c9dfc06f,0xf42faa48c0ea481e, + 0xd0601d8efc57b08b,0xf13b94daf124da26, + 0x823c12795db6ce57,0x76c53d08d6b70858, + 0xa2cb1717b52481ed,0x54768c4b0c64ca6e, + 0xcb7ddcdda26da268,0xa9942f5dcf7dfd09, + 0xfe5d54150b090b02,0xd3f93b35435d7c4c, + 0x9efa548d26e5a6e1,0xc47bc5014a1a6daf, + 0xc6b8e9b0709f109a,0x359ab6419ca1091b, + 0xf867241c8cc6d4c0,0xc30163d203c94b62, + 0x9b407691d7fc44f8,0x79e0de63425dcf1d, + 0xc21094364dfb5636,0x985915fc12f542e4, + 0xf294b943e17a2bc4,0x3e6f5b7b17b2939d, + 0x979cf3ca6cec5b5a,0xa705992ceecf9c42, + 0xbd8430bd08277231,0x50c6ff782a838353, + 0xece53cec4a314ebd,0xa4f8bf5635246428, + 0x940f4613ae5ed136,0x871b7795e136be99, + 0xb913179899f68584,0x28e2557b59846e3f, + 0xe757dd7ec07426e5,0x331aeada2fe589cf, + 0x9096ea6f3848984f,0x3ff0d2c85def7621, + 0xb4bca50b065abe63,0xfed077a756b53a9, + 0xe1ebce4dc7f16dfb,0xd3e8495912c62894, + 0x8d3360f09cf6e4bd,0x64712dd7abbbd95c, + 0xb080392cc4349dec,0xbd8d794d96aacfb3, + 0xdca04777f541c567,0xecf0d7a0fc5583a0, + 0x89e42caaf9491b60,0xf41686c49db57244, + 0xac5d37d5b79b6239,0x311c2875c522ced5, + 0xd77485cb25823ac7,0x7d633293366b828b, + 0x86a8d39ef77164bc,0xae5dff9c02033197, + 0xa8530886b54dbdeb,0xd9f57f830283fdfc, + 0xd267caa862a12d66,0xd072df63c324fd7b, + 0x8380dea93da4bc60,0x4247cb9e59f71e6d, + 0xa46116538d0deb78,0x52d9be85f074e608, + 0xcd795be870516656,0x67902e276c921f8b, + 0x806bd9714632dff6,0xba1cd8a3db53b6, + 0xa086cfcd97bf97f3,0x80e8a40eccd228a4, + 0xc8a883c0fdaf7df0,0x6122cd128006b2cd, + 0xfad2a4b13d1b5d6c,0x796b805720085f81, + 0x9cc3a6eec6311a63,0xcbe3303674053bb0, + 0xc3f490aa77bd60fc,0xbedbfc4411068a9c, + 0xf4f1b4d515acb93b,0xee92fb5515482d44, + 0x991711052d8bf3c5,0x751bdd152d4d1c4a, + 0xbf5cd54678eef0b6,0xd262d45a78a0635d, + 0xef340a98172aace4,0x86fb897116c87c34, + 0x9580869f0e7aac0e,0xd45d35e6ae3d4da0, + 0xbae0a846d2195712,0x8974836059cca109, + 0xe998d258869facd7,0x2bd1a438703fc94b, + 0x91ff83775423cc06,0x7b6306a34627ddcf, + 0xb67f6455292cbf08,0x1a3bc84c17b1d542, + 0xe41f3d6a7377eeca,0x20caba5f1d9e4a93, + 0x8e938662882af53e,0x547eb47b7282ee9c, + 0xb23867fb2a35b28d,0xe99e619a4f23aa43, + 0xdec681f9f4c31f31,0x6405fa00e2ec94d4, + 0x8b3c113c38f9f37e,0xde83bc408dd3dd04, + 0xae0b158b4738705e,0x9624ab50b148d445, + 0xd98ddaee19068c76,0x3badd624dd9b0957, + 0x87f8a8d4cfa417c9,0xe54ca5d70a80e5d6, + 0xa9f6d30a038d1dbc,0x5e9fcf4ccd211f4c, + 0xd47487cc8470652b,0x7647c3200069671f, + 0x84c8d4dfd2c63f3b,0x29ecd9f40041e073, + 0xa5fb0a17c777cf09,0xf468107100525890, + 0xcf79cc9db955c2cc,0x7182148d4066eeb4, + 0x81ac1fe293d599bf,0xc6f14cd848405530, + 0xa21727db38cb002f,0xb8ada00e5a506a7c, + 0xca9cf1d206fdc03b,0xa6d90811f0e4851c, + 0xfd442e4688bd304a,0x908f4a166d1da663, + 0x9e4a9cec15763e2e,0x9a598e4e043287fe, + 0xc5dd44271ad3cdba,0x40eff1e1853f29fd, + 0xf7549530e188c128,0xd12bee59e68ef47c, + 0x9a94dd3e8cf578b9,0x82bb74f8301958ce, + 0xc13a148e3032d6e7,0xe36a52363c1faf01, + 0xf18899b1bc3f8ca1,0xdc44e6c3cb279ac1, + 0x96f5600f15a7b7e5,0x29ab103a5ef8c0b9, + 0xbcb2b812db11a5de,0x7415d448f6b6f0e7, + 0xebdf661791d60f56,0x111b495b3464ad21, + 0x936b9fcebb25c995,0xcab10dd900beec34, + 0xb84687c269ef3bfb,0x3d5d514f40eea742, + 0xe65829b3046b0afa,0xcb4a5a3112a5112, + 0x8ff71a0fe2c2e6dc,0x47f0e785eaba72ab, + 0xb3f4e093db73a093,0x59ed216765690f56, + 0xe0f218b8d25088b8,0x306869c13ec3532c, + 0x8c974f7383725573,0x1e414218c73a13fb, + 0xafbd2350644eeacf,0xe5d1929ef90898fa, + 0xdbac6c247d62a583,0xdf45f746b74abf39, + 0x894bc396ce5da772,0x6b8bba8c328eb783, + 0xab9eb47c81f5114f,0x66ea92f3f326564, + 0xd686619ba27255a2,0xc80a537b0efefebd, + 0x8613fd0145877585,0xbd06742ce95f5f36, + 0xa798fc4196e952e7,0x2c48113823b73704, + 0xd17f3b51fca3a7a0,0xf75a15862ca504c5, + 0x82ef85133de648c4,0x9a984d73dbe722fb, + 0xa3ab66580d5fdaf5,0xc13e60d0d2e0ebba, + 0xcc963fee10b7d1b3,0x318df905079926a8, + 0xffbbcfe994e5c61f,0xfdf17746497f7052, + 0x9fd561f1fd0f9bd3,0xfeb6ea8bedefa633, + 0xc7caba6e7c5382c8,0xfe64a52ee96b8fc0, + 0xf9bd690a1b68637b,0x3dfdce7aa3c673b0, + 0x9c1661a651213e2d,0x6bea10ca65c084e, + 0xc31bfa0fe5698db8,0x486e494fcff30a62, + 0xf3e2f893dec3f126,0x5a89dba3c3efccfa, + 0x986ddb5c6b3a76b7,0xf89629465a75e01c, + 0xbe89523386091465,0xf6bbb397f1135823, + 0xee2ba6c0678b597f,0x746aa07ded582e2c, + 0x94db483840b717ef,0xa8c2a44eb4571cdc, + 0xba121a4650e4ddeb,0x92f34d62616ce413, + 0xe896a0d7e51e1566,0x77b020baf9c81d17, + 0x915e2486ef32cd60,0xace1474dc1d122e, + 0xb5b5ada8aaff80b8,0xd819992132456ba, + 0xe3231912d5bf60e6,0x10e1fff697ed6c69, + 0x8df5efabc5979c8f,0xca8d3ffa1ef463c1, + 0xb1736b96b6fd83b3,0xbd308ff8a6b17cb2, + 0xddd0467c64bce4a0,0xac7cb3f6d05ddbde, + 0x8aa22c0dbef60ee4,0x6bcdf07a423aa96b, + 0xad4ab7112eb3929d,0x86c16c98d2c953c6, + 0xd89d64d57a607744,0xe871c7bf077ba8b7, + 0x87625f056c7c4a8b,0x11471cd764ad4972, + 0xa93af6c6c79b5d2d,0xd598e40d3dd89bcf, + 0xd389b47879823479,0x4aff1d108d4ec2c3, + 0x843610cb4bf160cb,0xcedf722a585139ba, + 0xa54394fe1eedb8fe,0xc2974eb4ee658828, + 0xce947a3da6a9273e,0x733d226229feea32, + 0x811ccc668829b887,0x806357d5a3f525f, + 0xa163ff802a3426a8,0xca07c2dcb0cf26f7, + 0xc9bcff6034c13052,0xfc89b393dd02f0b5, + 0xfc2c3f3841f17c67,0xbbac2078d443ace2, + 0x9d9ba7832936edc0,0xd54b944b84aa4c0d, + 0xc5029163f384a931,0xa9e795e65d4df11, + 0xf64335bcf065d37d,0x4d4617b5ff4a16d5, + 0x99ea0196163fa42e,0x504bced1bf8e4e45, + 0xc06481fb9bcf8d39,0xe45ec2862f71e1d6, + 0xf07da27a82c37088,0x5d767327bb4e5a4c, + 0x964e858c91ba2655,0x3a6a07f8d510f86f, + 0xbbe226efb628afea,0x890489f70a55368b, + 0xeadab0aba3b2dbe5,0x2b45ac74ccea842e, + 0x92c8ae6b464fc96f,0x3b0b8bc90012929d, + 0xb77ada0617e3bbcb,0x9ce6ebb40173744, + 0xe55990879ddcaabd,0xcc420a6a101d0515, + 0x8f57fa54c2a9eab6,0x9fa946824a12232d, + 0xb32df8e9f3546564,0x47939822dc96abf9, + 0xdff9772470297ebd,0x59787e2b93bc56f7, + 0x8bfbea76c619ef36,0x57eb4edb3c55b65a, + 0xaefae51477a06b03,0xede622920b6b23f1, + 0xdab99e59958885c4,0xe95fab368e45eced, + 0x88b402f7fd75539b,0x11dbcb0218ebb414, + 0xaae103b5fcd2a881,0xd652bdc29f26a119, + 0xd59944a37c0752a2,0x4be76d3346f0495f, + 0x857fcae62d8493a5,0x6f70a4400c562ddb, + 0xa6dfbd9fb8e5b88e,0xcb4ccd500f6bb952, + 0xd097ad07a71f26b2,0x7e2000a41346a7a7, + 0x825ecc24c873782f,0x8ed400668c0c28c8, + 0xa2f67f2dfa90563b,0x728900802f0f32fa, + 0xcbb41ef979346bca,0x4f2b40a03ad2ffb9, + 0xfea126b7d78186bc,0xe2f610c84987bfa8, + 0x9f24b832e6b0f436,0xdd9ca7d2df4d7c9, + 0xc6ede63fa05d3143,0x91503d1c79720dbb, + 0xf8a95fcf88747d94,0x75a44c6397ce912a, + 0x9b69dbe1b548ce7c,0xc986afbe3ee11aba, + 0xc24452da229b021b,0xfbe85badce996168, + 0xf2d56790ab41c2a2,0xfae27299423fb9c3, + 0x97c560ba6b0919a5,0xdccd879fc967d41a, + 0xbdb6b8e905cb600f,0x5400e987bbc1c920, + 0xed246723473e3813,0x290123e9aab23b68, + 0x9436c0760c86e30b,0xf9a0b6720aaf6521, + 0xb94470938fa89bce,0xf808e40e8d5b3e69, + 0xe7958cb87392c2c2,0xb60b1d1230b20e04, + 0x90bd77f3483bb9b9,0xb1c6f22b5e6f48c2, + 0xb4ecd5f01a4aa828,0x1e38aeb6360b1af3, + 0xe2280b6c20dd5232,0x25c6da63c38de1b0, + 0x8d590723948a535f,0x579c487e5a38ad0e, + 0xb0af48ec79ace837,0x2d835a9df0c6d851, + 0xdcdb1b2798182244,0xf8e431456cf88e65, + 0x8a08f0f8bf0f156b,0x1b8e9ecb641b58ff, + 0xac8b2d36eed2dac5,0xe272467e3d222f3f, + 0xd7adf884aa879177,0x5b0ed81dcc6abb0f, + 0x86ccbb52ea94baea,0x98e947129fc2b4e9, + 0xa87fea27a539e9a5,0x3f2398d747b36224, + 0xd29fe4b18e88640e,0x8eec7f0d19a03aad, + 0x83a3eeeef9153e89,0x1953cf68300424ac, + 0xa48ceaaab75a8e2b,0x5fa8c3423c052dd7, + 0xcdb02555653131b6,0x3792f412cb06794d, + 0x808e17555f3ebf11,0xe2bbd88bbee40bd0, + 0xa0b19d2ab70e6ed6,0x5b6aceaeae9d0ec4, + 0xc8de047564d20a8b,0xf245825a5a445275, + 0xfb158592be068d2e,0xeed6e2f0f0d56712, + 0x9ced737bb6c4183d,0x55464dd69685606b, + 0xc428d05aa4751e4c,0xaa97e14c3c26b886, + 0xf53304714d9265df,0xd53dd99f4b3066a8, + 0x993fe2c6d07b7fab,0xe546a8038efe4029, + 0xbf8fdb78849a5f96,0xde98520472bdd033, + 0xef73d256a5c0f77c,0x963e66858f6d4440, + 0x95a8637627989aad,0xdde7001379a44aa8, + 0xbb127c53b17ec159,0x5560c018580d5d52, + 0xe9d71b689dde71af,0xaab8f01e6e10b4a6, + 0x9226712162ab070d,0xcab3961304ca70e8, + 0xb6b00d69bb55c8d1,0x3d607b97c5fd0d22, + 0xe45c10c42a2b3b05,0x8cb89a7db77c506a, + 0x8eb98a7a9a5b04e3,0x77f3608e92adb242, + 0xb267ed1940f1c61c,0x55f038b237591ed3, + 0xdf01e85f912e37a3,0x6b6c46dec52f6688, + 0x8b61313bbabce2c6,0x2323ac4b3b3da015, + 0xae397d8aa96c1b77,0xabec975e0a0d081a, + 0xd9c7dced53c72255,0x96e7bd358c904a21, + 0x881cea14545c7575,0x7e50d64177da2e54, + 0xaa242499697392d2,0xdde50bd1d5d0b9e9, + 0xd4ad2dbfc3d07787,0x955e4ec64b44e864, + 0x84ec3c97da624ab4,0xbd5af13bef0b113e, + 0xa6274bbdd0fadd61,0xecb1ad8aeacdd58e, + 0xcfb11ead453994ba,0x67de18eda5814af2, + 0x81ceb32c4b43fcf4,0x80eacf948770ced7, + 0xa2425ff75e14fc31,0xa1258379a94d028d, + 0xcad2f7f5359a3b3e,0x96ee45813a04330, + 0xfd87b5f28300ca0d,0x8bca9d6e188853fc, + 0x9e74d1b791e07e48,0x775ea264cf55347e, + 0xc612062576589dda,0x95364afe032a81a0, + 0xf79687aed3eec551,0x3a83ddbd83f52210, + 0x9abe14cd44753b52,0xc4926a9672793580, + 0xc16d9a0095928a27,0x75b7053c0f178400, + 0xf1c90080baf72cb1,0x5324c68b12dd6800, + 0x971da05074da7bee,0xd3f6fc16ebca8000, + 0xbce5086492111aea,0x88f4bb1ca6bd0000, + 0xec1e4a7db69561a5,0x2b31e9e3d0700000, + 0x9392ee8e921d5d07,0x3aff322e62600000, + 0xb877aa3236a4b449,0x9befeb9fad487c3, + 0xe69594bec44de15b,0x4c2ebe687989a9b4, + 0x901d7cf73ab0acd9,0xf9d37014bf60a11, + 0xb424dc35095cd80f,0x538484c19ef38c95, + 0xe12e13424bb40e13,0x2865a5f206b06fba, + 0x8cbccc096f5088cb,0xf93f87b7442e45d4, + 0xafebff0bcb24aafe,0xf78f69a51539d749, + 0xdbe6fecebdedd5be,0xb573440e5a884d1c, + 0x89705f4136b4a597,0x31680a88f8953031, + 0xabcc77118461cefc,0xfdc20d2b36ba7c3e, + 0xd6bf94d5e57a42bc,0x3d32907604691b4d, + 0x8637bd05af6c69b5,0xa63f9a49c2c1b110, + 0xa7c5ac471b478423,0xfcf80dc33721d54, + 0xd1b71758e219652b,0xd3c36113404ea4a9, + 0x83126e978d4fdf3b,0x645a1cac083126ea, + 0xa3d70a3d70a3d70a,0x3d70a3d70a3d70a4, + 0xcccccccccccccccc,0xcccccccccccccccd, + 0x8000000000000000,0x0, + 0xa000000000000000,0x0, + 0xc800000000000000,0x0, + 0xfa00000000000000,0x0, + 0x9c40000000000000,0x0, + 0xc350000000000000,0x0, + 0xf424000000000000,0x0, + 0x9896800000000000,0x0, + 0xbebc200000000000,0x0, + 0xee6b280000000000,0x0, + 0x9502f90000000000,0x0, + 0xba43b74000000000,0x0, + 0xe8d4a51000000000,0x0, + 0x9184e72a00000000,0x0, + 0xb5e620f480000000,0x0, + 0xe35fa931a0000000,0x0, + 0x8e1bc9bf04000000,0x0, + 0xb1a2bc2ec5000000,0x0, + 0xde0b6b3a76400000,0x0, + 0x8ac7230489e80000,0x0, + 0xad78ebc5ac620000,0x0, + 0xd8d726b7177a8000,0x0, + 0x878678326eac9000,0x0, + 0xa968163f0a57b400,0x0, + 0xd3c21bcecceda100,0x0, + 0x84595161401484a0,0x0, + 0xa56fa5b99019a5c8,0x0, + 0xcecb8f27f4200f3a,0x0, + 0x813f3978f8940984,0x4000000000000000, + 0xa18f07d736b90be5,0x5000000000000000, + 0xc9f2c9cd04674ede,0xa400000000000000, + 0xfc6f7c4045812296,0x4d00000000000000, + 0x9dc5ada82b70b59d,0xf020000000000000, + 0xc5371912364ce305,0x6c28000000000000, + 0xf684df56c3e01bc6,0xc732000000000000, + 0x9a130b963a6c115c,0x3c7f400000000000, + 0xc097ce7bc90715b3,0x4b9f100000000000, + 0xf0bdc21abb48db20,0x1e86d40000000000, + 0x96769950b50d88f4,0x1314448000000000, + 0xbc143fa4e250eb31,0x17d955a000000000, + 0xeb194f8e1ae525fd,0x5dcfab0800000000, + 0x92efd1b8d0cf37be,0x5aa1cae500000000, + 0xb7abc627050305ad,0xf14a3d9e40000000, + 0xe596b7b0c643c719,0x6d9ccd05d0000000, + 0x8f7e32ce7bea5c6f,0xe4820023a2000000, + 0xb35dbf821ae4f38b,0xdda2802c8a800000, + 0xe0352f62a19e306e,0xd50b2037ad200000, + 0x8c213d9da502de45,0x4526f422cc340000, + 0xaf298d050e4395d6,0x9670b12b7f410000, + 0xdaf3f04651d47b4c,0x3c0cdd765f114000, + 0x88d8762bf324cd0f,0xa5880a69fb6ac800, + 0xab0e93b6efee0053,0x8eea0d047a457a00, + 0xd5d238a4abe98068,0x72a4904598d6d880, + 0x85a36366eb71f041,0x47a6da2b7f864750, + 0xa70c3c40a64e6c51,0x999090b65f67d924, + 0xd0cf4b50cfe20765,0xfff4b4e3f741cf6d, + 0x82818f1281ed449f,0xbff8f10e7a8921a4, + 0xa321f2d7226895c7,0xaff72d52192b6a0d, + 0xcbea6f8ceb02bb39,0x9bf4f8a69f764490, + 0xfee50b7025c36a08,0x2f236d04753d5b4, + 0x9f4f2726179a2245,0x1d762422c946590, + 0xc722f0ef9d80aad6,0x424d3ad2b7b97ef5, + 0xf8ebad2b84e0d58b,0xd2e0898765a7deb2, + 0x9b934c3b330c8577,0x63cc55f49f88eb2f, + 0xc2781f49ffcfa6d5,0x3cbf6b71c76b25fb, + 0xf316271c7fc3908a,0x8bef464e3945ef7a, + 0x97edd871cfda3a56,0x97758bf0e3cbb5ac, + 0xbde94e8e43d0c8ec,0x3d52eeed1cbea317, + 0xed63a231d4c4fb27,0x4ca7aaa863ee4bdd, + 0x945e455f24fb1cf8,0x8fe8caa93e74ef6a, + 0xb975d6b6ee39e436,0xb3e2fd538e122b44, + 0xe7d34c64a9c85d44,0x60dbbca87196b616, + 0x90e40fbeea1d3a4a,0xbc8955e946fe31cd, + 0xb51d13aea4a488dd,0x6babab6398bdbe41, + 0xe264589a4dcdab14,0xc696963c7eed2dd1, + 0x8d7eb76070a08aec,0xfc1e1de5cf543ca2, + 0xb0de65388cc8ada8,0x3b25a55f43294bcb, + 0xdd15fe86affad912,0x49ef0eb713f39ebe, + 0x8a2dbf142dfcc7ab,0x6e3569326c784337, + 0xacb92ed9397bf996,0x49c2c37f07965404, + 0xd7e77a8f87daf7fb,0xdc33745ec97be906, + 0x86f0ac99b4e8dafd,0x69a028bb3ded71a3, + 0xa8acd7c0222311bc,0xc40832ea0d68ce0c, + 0xd2d80db02aabd62b,0xf50a3fa490c30190, + 0x83c7088e1aab65db,0x792667c6da79e0fa, + 0xa4b8cab1a1563f52,0x577001b891185938, + 0xcde6fd5e09abcf26,0xed4c0226b55e6f86, + 0x80b05e5ac60b6178,0x544f8158315b05b4, + 0xa0dc75f1778e39d6,0x696361ae3db1c721, + 0xc913936dd571c84c,0x3bc3a19cd1e38e9, + 0xfb5878494ace3a5f,0x4ab48a04065c723, + 0x9d174b2dcec0e47b,0x62eb0d64283f9c76, + 0xc45d1df942711d9a,0x3ba5d0bd324f8394, + 0xf5746577930d6500,0xca8f44ec7ee36479, + 0x9968bf6abbe85f20,0x7e998b13cf4e1ecb, + 0xbfc2ef456ae276e8,0x9e3fedd8c321a67e, + 0xefb3ab16c59b14a2,0xc5cfe94ef3ea101e, + 0x95d04aee3b80ece5,0xbba1f1d158724a12, + 0xbb445da9ca61281f,0x2a8a6e45ae8edc97, + 0xea1575143cf97226,0xf52d09d71a3293bd, + 0x924d692ca61be758,0x593c2626705f9c56, + 0xb6e0c377cfa2e12e,0x6f8b2fb00c77836c, + 0xe498f455c38b997a,0xb6dfb9c0f956447, + 0x8edf98b59a373fec,0x4724bd4189bd5eac, + 0xb2977ee300c50fe7,0x58edec91ec2cb657, + 0xdf3d5e9bc0f653e1,0x2f2967b66737e3ed, + 0x8b865b215899f46c,0xbd79e0d20082ee74, + 0xae67f1e9aec07187,0xecd8590680a3aa11, + 0xda01ee641a708de9,0xe80e6f4820cc9495, + 0x884134fe908658b2,0x3109058d147fdcdd, + 0xaa51823e34a7eede,0xbd4b46f0599fd415, + 0xd4e5e2cdc1d1ea96,0x6c9e18ac7007c91a, + 0x850fadc09923329e,0x3e2cf6bc604ddb0, + 0xa6539930bf6bff45,0x84db8346b786151c, + 0xcfe87f7cef46ff16,0xe612641865679a63, + 0x81f14fae158c5f6e,0x4fcb7e8f3f60c07e, + 0xa26da3999aef7749,0xe3be5e330f38f09d, + 0xcb090c8001ab551c,0x5cadf5bfd3072cc5, + 0xfdcb4fa002162a63,0x73d9732fc7c8f7f6, + 0x9e9f11c4014dda7e,0x2867e7fddcdd9afa, + 0xc646d63501a1511d,0xb281e1fd541501b8, + 0xf7d88bc24209a565,0x1f225a7ca91a4226, + 0x9ae757596946075f,0x3375788de9b06958, + 0xc1a12d2fc3978937,0x52d6b1641c83ae, + 0xf209787bb47d6b84,0xc0678c5dbd23a49a, + 0x9745eb4d50ce6332,0xf840b7ba963646e0, + 0xbd176620a501fbff,0xb650e5a93bc3d898, + 0xec5d3fa8ce427aff,0xa3e51f138ab4cebe, + 0x93ba47c980e98cdf,0xc66f336c36b10137, + 0xb8a8d9bbe123f017,0xb80b0047445d4184, + 0xe6d3102ad96cec1d,0xa60dc059157491e5, + 0x9043ea1ac7e41392,0x87c89837ad68db2f, + 0xb454e4a179dd1877,0x29babe4598c311fb, + 0xe16a1dc9d8545e94,0xf4296dd6fef3d67a, + 0x8ce2529e2734bb1d,0x1899e4a65f58660c, + 0xb01ae745b101e9e4,0x5ec05dcff72e7f8f, + 0xdc21a1171d42645d,0x76707543f4fa1f73, + 0x899504ae72497eba,0x6a06494a791c53a8, + 0xabfa45da0edbde69,0x487db9d17636892, + 0xd6f8d7509292d603,0x45a9d2845d3c42b6, + 0x865b86925b9bc5c2,0xb8a2392ba45a9b2, + 0xa7f26836f282b732,0x8e6cac7768d7141e, + 0xd1ef0244af2364ff,0x3207d795430cd926, + 0x8335616aed761f1f,0x7f44e6bd49e807b8, + 0xa402b9c5a8d3a6e7,0x5f16206c9c6209a6, + 0xcd036837130890a1,0x36dba887c37a8c0f, + 0x802221226be55a64,0xc2494954da2c9789, + 0xa02aa96b06deb0fd,0xf2db9baa10b7bd6c, + 0xc83553c5c8965d3d,0x6f92829494e5acc7, + 0xfa42a8b73abbf48c,0xcb772339ba1f17f9, + 0x9c69a97284b578d7,0xff2a760414536efb, + 0xc38413cf25e2d70d,0xfef5138519684aba, + 0xf46518c2ef5b8cd1,0x7eb258665fc25d69, + 0x98bf2f79d5993802,0xef2f773ffbd97a61, + 0xbeeefb584aff8603,0xaafb550ffacfd8fa, + 0xeeaaba2e5dbf6784,0x95ba2a53f983cf38, + 0x952ab45cfa97a0b2,0xdd945a747bf26183, + 0xba756174393d88df,0x94f971119aeef9e4, + 0xe912b9d1478ceb17,0x7a37cd5601aab85d, + 0x91abb422ccb812ee,0xac62e055c10ab33a, + 0xb616a12b7fe617aa,0x577b986b314d6009, + 0xe39c49765fdf9d94,0xed5a7e85fda0b80b, + 0x8e41ade9fbebc27d,0x14588f13be847307, + 0xb1d219647ae6b31c,0x596eb2d8ae258fc8, + 0xde469fbd99a05fe3,0x6fca5f8ed9aef3bb, + 0x8aec23d680043bee,0x25de7bb9480d5854, + 0xada72ccc20054ae9,0xaf561aa79a10ae6a, + 0xd910f7ff28069da4,0x1b2ba1518094da04, + 0x87aa9aff79042286,0x90fb44d2f05d0842, + 0xa99541bf57452b28,0x353a1607ac744a53, + 0xd3fa922f2d1675f2,0x42889b8997915ce8, + 0x847c9b5d7c2e09b7,0x69956135febada11, + 0xa59bc234db398c25,0x43fab9837e699095, + 0xcf02b2c21207ef2e,0x94f967e45e03f4bb, + 0x8161afb94b44f57d,0x1d1be0eebac278f5, + 0xa1ba1ba79e1632dc,0x6462d92a69731732, + 0xca28a291859bbf93,0x7d7b8f7503cfdcfe, + 0xfcb2cb35e702af78,0x5cda735244c3d43e, + 0x9defbf01b061adab,0x3a0888136afa64a7, + 0xc56baec21c7a1916,0x88aaa1845b8fdd0, + 0xf6c69a72a3989f5b,0x8aad549e57273d45, + 0x9a3c2087a63f6399,0x36ac54e2f678864b, + 0xc0cb28a98fcf3c7f,0x84576a1bb416a7dd, + 0xf0fdf2d3f3c30b9f,0x656d44a2a11c51d5, + 0x969eb7c47859e743,0x9f644ae5a4b1b325, + 0xbc4665b596706114,0x873d5d9f0dde1fee, + 0xeb57ff22fc0c7959,0xa90cb506d155a7ea, + 0x9316ff75dd87cbd8,0x9a7f12442d588f2, + 0xb7dcbf5354e9bece,0xc11ed6d538aeb2f, + 0xe5d3ef282a242e81,0x8f1668c8a86da5fa, + 0x8fa475791a569d10,0xf96e017d694487bc, + 0xb38d92d760ec4455,0x37c981dcc395a9ac, + 0xe070f78d3927556a,0x85bbe253f47b1417, + 0x8c469ab843b89562,0x93956d7478ccec8e, + 0xaf58416654a6babb,0x387ac8d1970027b2, + 0xdb2e51bfe9d0696a,0x6997b05fcc0319e, + 0x88fcf317f22241e2,0x441fece3bdf81f03, + 0xab3c2fddeeaad25a,0xd527e81cad7626c3, + 0xd60b3bd56a5586f1,0x8a71e223d8d3b074, + 0x85c7056562757456,0xf6872d5667844e49, + 0xa738c6bebb12d16c,0xb428f8ac016561db, + 0xd106f86e69d785c7,0xe13336d701beba52, + 0x82a45b450226b39c,0xecc0024661173473, + 0xa34d721642b06084,0x27f002d7f95d0190, + 0xcc20ce9bd35c78a5,0x31ec038df7b441f4, + 0xff290242c83396ce,0x7e67047175a15271, + 0x9f79a169bd203e41,0xf0062c6e984d386, + 0xc75809c42c684dd1,0x52c07b78a3e60868, + 0xf92e0c3537826145,0xa7709a56ccdf8a82, + 0x9bbcc7a142b17ccb,0x88a66076400bb691, + 0xc2abf989935ddbfe,0x6acff893d00ea435, + 0xf356f7ebf83552fe,0x583f6b8c4124d43, + 0x98165af37b2153de,0xc3727a337a8b704a, + 0xbe1bf1b059e9a8d6,0x744f18c0592e4c5c, + 0xeda2ee1c7064130c,0x1162def06f79df73, + 0x9485d4d1c63e8be7,0x8addcb5645ac2ba8, + 0xb9a74a0637ce2ee1,0x6d953e2bd7173692, + 0xe8111c87c5c1ba99,0xc8fa8db6ccdd0437, + 0x910ab1d4db9914a0,0x1d9c9892400a22a2, + 0xb54d5e4a127f59c8,0x2503beb6d00cab4b, + 0xe2a0b5dc971f303a,0x2e44ae64840fd61d, + 0x8da471a9de737e24,0x5ceaecfed289e5d2, + 0xb10d8e1456105dad,0x7425a83e872c5f47, + 0xdd50f1996b947518,0xd12f124e28f77719, + 0x8a5296ffe33cc92f,0x82bd6b70d99aaa6f, + 0xace73cbfdc0bfb7b,0x636cc64d1001550b, + 0xd8210befd30efa5a,0x3c47f7e05401aa4e, + 0x8714a775e3e95c78,0x65acfaec34810a71, + 0xa8d9d1535ce3b396,0x7f1839a741a14d0d, + 0xd31045a8341ca07c,0x1ede48111209a050, + 0x83ea2b892091e44d,0x934aed0aab460432, + 0xa4e4b66b68b65d60,0xf81da84d5617853f, + 0xce1de40642e3f4b9,0x36251260ab9d668e, + 0x80d2ae83e9ce78f3,0xc1d72b7c6b426019, + 0xa1075a24e4421730,0xb24cf65b8612f81f, + 0xc94930ae1d529cfc,0xdee033f26797b627, + 0xfb9b7cd9a4a7443c,0x169840ef017da3b1, + 0x9d412e0806e88aa5,0x8e1f289560ee864e, + 0xc491798a08a2ad4e,0xf1a6f2bab92a27e2, + 0xf5b5d7ec8acb58a2,0xae10af696774b1db, + 0x9991a6f3d6bf1765,0xacca6da1e0a8ef29, + 0xbff610b0cc6edd3f,0x17fd090a58d32af3, + 0xeff394dcff8a948e,0xddfc4b4cef07f5b0, + 0x95f83d0a1fb69cd9,0x4abdaf101564f98e, + 0xbb764c4ca7a4440f,0x9d6d1ad41abe37f1, + 0xea53df5fd18d5513,0x84c86189216dc5ed, + 0x92746b9be2f8552c,0x32fd3cf5b4e49bb4, + 0xb7118682dbb66a77,0x3fbc8c33221dc2a1, + 0xe4d5e82392a40515,0xfabaf3feaa5334a, + 0x8f05b1163ba6832d,0x29cb4d87f2a7400e, + 0xb2c71d5bca9023f8,0x743e20e9ef511012, + 0xdf78e4b2bd342cf6,0x914da9246b255416, + 0x8bab8eefb6409c1a,0x1ad089b6c2f7548e, + 0xae9672aba3d0c320,0xa184ac2473b529b1, + 0xda3c0f568cc4f3e8,0xc9e5d72d90a2741e, + 0x8865899617fb1871,0x7e2fa67c7a658892, + 0xaa7eebfb9df9de8d,0xddbb901b98feeab7, + 0xd51ea6fa85785631,0x552a74227f3ea565, + 0x8533285c936b35de,0xd53a88958f87275f, + 0xa67ff273b8460356,0x8a892abaf368f137, + 0xd01fef10a657842c,0x2d2b7569b0432d85, + 0x8213f56a67f6b29b,0x9c3b29620e29fc73, + 0xa298f2c501f45f42,0x8349f3ba91b47b8f, + 0xcb3f2f7642717713,0x241c70a936219a73, + 0xfe0efb53d30dd4d7,0xed238cd383aa0110, + 0x9ec95d1463e8a506,0xf4363804324a40aa, + 0xc67bb4597ce2ce48,0xb143c6053edcd0d5, + 0xf81aa16fdc1b81da,0xdd94b7868e94050a, + 0x9b10a4e5e9913128,0xca7cf2b4191c8326, + 0xc1d4ce1f63f57d72,0xfd1c2f611f63a3f0, + 0xf24a01a73cf2dccf,0xbc633b39673c8cec, + 0x976e41088617ca01,0xd5be0503e085d813, + 0xbd49d14aa79dbc82,0x4b2d8644d8a74e18, + 0xec9c459d51852ba2,0xddf8e7d60ed1219e, + 0x93e1ab8252f33b45,0xcabb90e5c942b503, + 0xb8da1662e7b00a17,0x3d6a751f3b936243, + 0xe7109bfba19c0c9d,0xcc512670a783ad4, + 0x906a617d450187e2,0x27fb2b80668b24c5, + 0xb484f9dc9641e9da,0xb1f9f660802dedf6, + 0xe1a63853bbd26451,0x5e7873f8a0396973, + 0x8d07e33455637eb2,0xdb0b487b6423e1e8, + 0xb049dc016abc5e5f,0x91ce1a9a3d2cda62, + 0xdc5c5301c56b75f7,0x7641a140cc7810fb, + 0x89b9b3e11b6329ba,0xa9e904c87fcb0a9d, + 0xac2820d9623bf429,0x546345fa9fbdcd44, + 0xd732290fbacaf133,0xa97c177947ad4095, + 0x867f59a9d4bed6c0,0x49ed8eabcccc485d, + 0xa81f301449ee8c70,0x5c68f256bfff5a74, + 0xd226fc195c6a2f8c,0x73832eec6fff3111, + 0x83585d8fd9c25db7,0xc831fd53c5ff7eab, + 0xa42e74f3d032f525,0xba3e7ca8b77f5e55, + 0xcd3a1230c43fb26f,0x28ce1bd2e55f35eb, + 0x80444b5e7aa7cf85,0x7980d163cf5b81b3, + 0xa0555e361951c366,0xd7e105bcc332621f, + 0xc86ab5c39fa63440,0x8dd9472bf3fefaa7, + 0xfa856334878fc150,0xb14f98f6f0feb951, + 0x9c935e00d4b9d8d2,0x6ed1bf9a569f33d3, + 0xc3b8358109e84f07,0xa862f80ec4700c8, + 0xf4a642e14c6262c8,0xcd27bb612758c0fa, + 0x98e7e9cccfbd7dbd,0x8038d51cb897789c, + 0xbf21e44003acdd2c,0xe0470a63e6bd56c3, + 0xeeea5d5004981478,0x1858ccfce06cac74, + 0x95527a5202df0ccb,0xf37801e0c43ebc8, + 0xbaa718e68396cffd,0xd30560258f54e6ba, + 0xe950df20247c83fd,0x47c6b82ef32a2069, + 0x91d28b7416cdd27e,0x4cdc331d57fa5441, + 0xb6472e511c81471d,0xe0133fe4adf8e952, + 0xe3d8f9e563a198e5,0x58180fddd97723a6, + 0x8e679c2f5e44ff8f,0x570f09eaa7ea7648,}; } // namespace internal } // namespace simdjson diff --git a/src/simdjson.cpp b/src/simdjson.cpp index a7120afdc..747ca1b12 100644 --- a/src/simdjson.cpp +++ b/src/simdjson.cpp @@ -4,6 +4,7 @@ SIMDJSON_PUSH_DISABLE_WARNINGS SIMDJSON_DISABLE_UNDESIRED_WARNINGS #include "to_chars.cpp" +#include "from_chars.cpp" #include "internal/error_tables.cpp" #include "internal/jsoncharutils_tables.cpp" #include "internal/numberparsing_tables.cpp" diff --git a/tests/CMakeLists.txt b/tests/CMakeLists.txt index 7dcc92005..95014134f 100644 --- a/tests/CMakeLists.txt +++ b/tests/CMakeLists.txt @@ -54,6 +54,7 @@ target_compile_definitions(stringparsingcheck PRIVATE NOMINMAX) # All remaining tests link with simdjson proper link_libraries(simdjson) +add_cpp_test(random_string_number_tests LABELS acceptance per_implementation) add_cpp_test(basictests LABELS acceptance per_implementation) add_cpp_test(minify_tests LABELS acceptance per_implementation) add_cpp_test(document_stream_tests LABELS acceptance per_implementation) diff --git a/tests/basictests.cpp b/tests/basictests.cpp index e07fe5cb2..f0f169d4f 100644 --- a/tests/basictests.cpp +++ b/tests/basictests.cpp @@ -16,6 +16,17 @@ #include "cast_tester.h" #include "test_macros.h" +/** + * Some systems have bad floating-point parsing. We want to exclude them. + */ +#if defined(SIMDJSON_REGULAR_VISUAL_STUDIO) || defined (__linux__) || defined (__APPLE__) || defined(__FreeBSD__) +// Finally, we want to exclude legacy 32-bit systems. +#ifndef SIMDJSON_IS_32BITS +// So we only run some of the floating-point tests under 64-bit linux, apple, regular visual studio, freebsd. +#define TEST_FLOATS +#endif +#endif + const size_t AMAZON_CELLPHONES_NDJSON_DOC_COUNT = 793; #define SIMDJSON_SHOW_DEFINE(x) printf("%s=%s\n", #x, STRINGIFY(x)) @@ -34,6 +45,34 @@ namespace number_tests { return ua + ub + 0x80000000; } + bool ground_truth() { + std::cout << __func__ << std::endl; + std::pair ground_truth[] = { + {"2.2250738585072013e-308",0x1p-1022}, + {"-92666518056446206563E3", -0x1.39f764644154dp+76}, + {"-92666518056446206563E3", -0x1.39f764644154dp+76}, + {"-42823146028335318693e-128", -0x1.0176daa6cdaafp-360}, + {"90054602635948575728E72", 0x1.61ab4ea9cb6c3p+305}, + {"1.00000000000000188558920870223463870174566020691753515394643550663070558368373221972569761144603605635692374830246134201063722058e-309", 0x0.0b8157268fdafp-1022}, + {"0e9999999999999999999999999999", 0x0p+0}, + {"-2402844368454405395.2", -0x1.0ac4f1c7422e7p+61} + }; + simdjson::dom::parser parser; + for(auto string_double : ground_truth) { + std::cout << "parsing the string '" << string_double.first << "'" << std::endl; + std::cout << "I am expecting the floating-point value '" << string_double.second << "'" << std::endl; + double result; + ASSERT_SUCCESS(parser.parse(string_double.first).get(result)); + std::cout << "Resulting float is '" << result << "'" << std::endl; + if(result != string_double.second) { + std::cerr << std::hexfloat << result << " vs " << string_double.second << std::endl; + std::cerr << string_double.first << std::endl; + return false; + } + } + return true; + } + bool small_integers() { std::cout << __func__ << std::endl; @@ -56,6 +95,7 @@ namespace number_tests { std::cout << __func__ << std::endl; simdjson::dom::parser parser; std::vector> testing = { + {"9999999999999999999e0",9999999999999999999.0}, {"9999999999999999999.0",9999999999999999999.0}, {"9999999999999999999",9999999999999999999.}, {"999999999999999999.9",999999999999999999.9}, @@ -99,7 +139,6 @@ namespace number_tests { double expected = pow(2, i); size_t n = snprintf(buf, sizeof(buf), "%.*e", std::numeric_limits::max_digits10 - 1, expected); if (n >= sizeof(buf)) { abort(); } - fflush(NULL); double actual; auto error = parser.parse(buf, n).get(actual); if (error) { std::cerr << error << std::endl; return false; } @@ -194,14 +233,13 @@ namespace number_tests { simdjson::dom::parser parser; bool is_pow_correct{1e-308 == std::pow(10,-308)}; - int start_point = is_pow_correct ? -10000 : -307; + int start_point = is_pow_correct ? -1000 : -307; if(!is_pow_correct) { std::cout << "On your system, the pow function is busted. Sorry about that. " << std::endl; } for (int i = start_point; i <= 308; ++i) {// large negative values should be zero. size_t n = snprintf(buf, sizeof(buf), "1e%d", i); if (n >= sizeof(buf)) { abort(); } - fflush(NULL); double actual; auto error = parser.parse(buf, n).get(actual); if (error) { std::cerr << error << std::endl; return false; } @@ -217,8 +255,69 @@ namespace number_tests { printf("Powers of 10 can be parsed.\n"); return true; } + + bool basic_test_64bit(std::string vals, double val) { + std::cout << " parsing " << vals << std::endl; + double std_answer; + char *endptr; + // We want to call strtod with the C (default) locale to avoid + // potential issues in case someone has a different locale. + // Unfortunately, Visual Studio has a different syntax. + const char * cval = vals.c_str(); +#ifdef _WIN32 + static _locale_t c_locale = _create_locale(LC_ALL, "C"); + std_answer = _strtod_l(cval, &endptr, c_locale); +#else + static locale_t c_locale = newlocale(LC_ALL_MASK, "C", NULL); + std_answer = strtod_l(cval, &endptr, c_locale); +#endif + if(endptr == cval) { + std::cerr << "Your runtime library failed to parse " << vals << std::endl; + } + double actual; + simdjson::dom::parser parser; + auto error = parser.parse(vals).get(actual); + if(error) { + std::cerr << error << std::endl; + return false; + } + if (actual != val) { + std::cerr << std::hexfloat << actual << " but I was expecting " << val + << std::endl; + std::cerr << "string: " << vals << std::endl; + std::cout << std::dec; + if(std_answer == actual) { + std::cerr << "simdjson agrees with your runtime library, so we will accept the answer." << std::endl; + return true; + } + return false; + } + std::cout << std::hexfloat << actual << " == " << val << std::endl; + std::cout << std::dec; + return true; + } + + bool specific_tests() { + std::cout << __func__ << std::endl; + return basic_test_64bit("-2402844368454405395.2",-2402844368454405395.2) && + basic_test_64bit("4503599627370496.5", 4503599627370496.5) && + basic_test_64bit("4503599627475352.5", 4503599627475352.5) && + basic_test_64bit("4503599627475353.5", 4503599627475353.5) && + basic_test_64bit("2251799813685248.25", 2251799813685248.25) && + basic_test_64bit("1125899906842624.125", 1125899906842624.125) && + basic_test_64bit("1125899906842901.875", 1125899906842901.875) && + basic_test_64bit("2251799813685803.75", 2251799813685803.75) && + basic_test_64bit("4503599627370497.5", 4503599627370497.5) && + basic_test_64bit("45035996.273704995", 45035996.273704995) && + basic_test_64bit("45035996.273704985", 45035996.273704985) && + basic_test_64bit("0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000044501477170144022721148195934182639518696390927032912960468522194496444440421538910330590478162701758282983178260792422137401728773891892910553144148156412434867599762821265346585071045737627442980259622449029037796981144446145705102663115100318287949527959668236039986479250965780342141637013812613333119898765515451440315261253813266652951306000184917766328660755595837392240989947807556594098101021612198814605258742579179000071675999344145086087205681577915435923018910334964869420614052182892431445797605163650903606514140377217442262561590244668525767372446430075513332450079650686719491377688478005309963967709758965844137894433796621993967316936280457084866613206797017728916080020698679408551343728867675409720757232455434770912461317493580281734466552734375", 0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000044501477170144022721148195934182639518696390927032912960468522194496444440421538910330590478162701758282983178260792422137401728773891892910553144148156412434867599762821265346585071045737627442980259622449029037796981144446145705102663115100318287949527959668236039986479250965780342141637013812613333119898765515451440315261253813266652951306000184917766328660755595837392240989947807556594098101021612198814605258742579179000071675999344145086087205681577915435923018910334964869420614052182892431445797605163650903606514140377217442262561590244668525767372446430075513332450079650686719491377688478005309963967709758965844137894433796621993967316936280457084866613206797017728916080020698679408551343728867675409720757232455434770912461317493580281734466552734375) && + basic_test_64bit("0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022250738585072008890245868760858598876504231122409594654935248025624400092282356951787758888037591552642309780950434312085877387158357291821993020294379224223559819827501242041788969571311791082261043971979604000454897391938079198936081525613113376149842043271751033627391549782731594143828136275113838604094249464942286316695429105080201815926642134996606517803095075913058719846423906068637102005108723282784678843631944515866135041223479014792369585208321597621066375401613736583044193603714778355306682834535634005074073040135602968046375918583163124224521599262546494300836851861719422417646455137135420132217031370496583210154654068035397417906022589503023501937519773030945763173210852507299305089761582519159720757232455434770912461317493580281734466552734375", 0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022250738585072008890245868760858598876504231122409594654935248025624400092282356951787758888037591552642309780950434312085877387158357291821993020294379224223559819827501242041788969571311791082261043971979604000454897391938079198936081525613113376149842043271751033627391549782731594143828136275113838604094249464942286316695429105080201815926642134996606517803095075913058719846423906068637102005108723282784678843631944515866135041223479014792369585208321597621066375401613736583044193603714778355306682834535634005074073040135602968046375918583163124224521599262546494300836851861719422417646455137135420132217031370496583210154654068035397417906022589503023501937519773030945763173210852507299305089761582519159720757232455434770912461317493580281734466552734375); + } + bool run() { - return small_integers() && + return specific_tests() && + ground_truth() && + small_integers() && powers_of_two() && powers_of_ten() && nines(); @@ -1189,7 +1288,14 @@ namespace type_tests { && (expected_value >= 0 ? test_cast(result, expected_value) : test_cast_error(result, NUMBER_OUT_OF_RANGE)) +#ifdef TEST_FLOATS + // We trust the underlying system to be accurate. && test_cast(result, static_cast(expected_value)) +#else + // We don't trust the underlying system so we only run the test_cast + // exact test when the expected_value is within the 53-bit range. + && ((expected_value<-9007199254740992) || (expected_value>9007199254740992) || test_cast(result, static_cast(expected_value))) +#endif && test_cast_error(result, INCORRECT_TYPE) && test_is_null(result, false); } @@ -1209,6 +1315,14 @@ namespace type_tests { && test_cast_error(result, NUMBER_OUT_OF_RANGE) && test_cast(result, expected_value) && test_cast(result, static_cast(expected_value)) +#ifdef TEST_FLOATS + // We trust the underlying system to be accurate. + && test_cast(result, static_cast(expected_value)) +#else + // We don't trust the underlying system so we only run the test_cast + // exact test when the expected_value is within the 53-bit range. + && ((expected_value>9007199254740992) || test_cast(result, static_cast(expected_value))) +#endif && test_cast_error(result, INCORRECT_TYPE) && test_is_null(result, false); } @@ -1409,7 +1523,7 @@ namespace minify_tests { auto e = simdjson::minify(bogus_json.get(), i, output_json.get(), newlength); if(e) { std::cerr << "got an error (unexpected) : " << e << std::endl; - return false; + return false; } } return true; @@ -1427,7 +1541,7 @@ namespace minify_tests { auto e = simdjson::minify(bogus_json.get(), i, output_json.get(), newlength); if(e) { std::cerr << "got an error (unexpected) : " << e << std::endl; - return false; + return false; } } return true; @@ -1899,7 +2013,7 @@ int main(int argc, char *argv[]) { dom_api_tests::run() && type_tests::run() && format_tests::run() && - number_tests::run() + number_tests::run() ) { std::cout << "Basic tests are ok." << std::endl; return EXIT_SUCCESS; diff --git a/tests/numberparsingcheck.cpp b/tests/numberparsingcheck.cpp index 95bc4b69a..ab2a09871 100644 --- a/tests/numberparsingcheck.cpp +++ b/tests/numberparsingcheck.cpp @@ -1,9 +1,10 @@ #include -#include -#include -#include -#include -#include +#include +#include +#include +#include + + #ifndef JSON_TEST_NUMBERS #define JSON_TEST_NUMBERS @@ -22,6 +23,29 @@ void found_unsigned_integer(uint64_t result, const uint8_t *buf); #include "simdjson.h" + + +/** + * Some systems have bad floating-point parsing. We want to exclude them. + */ +#if defined(SIMDJSON_REGULAR_VISUAL_STUDIO) || defined (__linux__) || defined (__APPLE__) || defined(__FreeBSD__) +// Ok. So under Visual Studio, linux, apple and freebsd systems, we have a good chance of having a decent +// enough strtod. It is not certain, but it is maybe a good enough heuristics. We exclude systems like msys2 +// or cygwin. +// +// Finally, we want to exclude legacy 32-bit systems. +#ifndef SIMDJSON_IS_32BITS +// So we only run some of the floating-point tests under 64-bit linux, apple, regular visual studio, freebsd. +#define TEST_FLOATS +// Apple and freebsd need a special header, typically. +#if defined __APPLE__ || defined(__FreeBSD__) +# include +#endif + +#endif + +#endif + // ulp distance // Marc B. Reynolds, 2016-2019 // Public Domain under http://unlicense.org, see link for details. @@ -73,6 +97,10 @@ bool is_in_bad_list(const char *buf) { return false; } +#ifndef TEST_FLOATS +// We do not recognize the system, so we do not verify our results. +void found_invalid_number(const uint8_t *) {} +#else void found_invalid_number(const uint8_t *buf) { invalid_count++; char *endptr; @@ -82,7 +110,7 @@ void found_invalid_number(const uint8_t *buf) { #else static locale_t c_locale = newlocale(LC_ALL_MASK, "C", NULL); double expected = strtod_l((const char *)buf, &endptr, c_locale); -#endif +#endif if (endptr != (const char *)buf) { if (!is_in_bad_list((const char *)buf)) { printf("Warning: found_invalid_number %.32s whereas strtod parses it to " @@ -93,6 +121,7 @@ void found_invalid_number(const uint8_t *buf) { } } } +#endif void found_integer(int64_t result, const uint8_t *buf) { int_count++; @@ -101,7 +130,7 @@ void found_integer(int64_t result, const uint8_t *buf) { if ((endptr == (const char *)buf) || (expected != result)) { #if (!(__MINGW32__) && !(__MINGW64__)) fprintf(stderr, "Error: parsed %" PRId64 " out of %.32s, ", result, buf); -#else // mingw is busted since we include #include +#else // mingw is busted since we include #include and it will still not provide PRId64 fprintf(stderr, "Error: parsed %lld out of %.32s, ", (long long)result, buf); #endif fprintf(stderr, " while parsing %s \n", fullpath); @@ -124,6 +153,10 @@ void found_unsigned_integer(uint64_t result, const uint8_t *buf) { } } +#ifndef TEST_FLOATS +// We do not recognize the system, so we do not verify our results. +void found_float(double , const uint8_t *) {} +#else void found_float(double result, const uint8_t *buf) { char *endptr; float_count++; @@ -133,7 +166,7 @@ void found_float(double result, const uint8_t *buf) { #else static locale_t c_locale = newlocale(LC_ALL_MASK, "C", NULL); double expected = strtod_l((const char *)buf, &endptr, c_locale); -#endif +#endif if (endptr == (const char *)buf) { fprintf(stderr, "parsed %f from %.32s whereas strtod refuses to parse a float, ", @@ -141,7 +174,7 @@ void found_float(double result, const uint8_t *buf) { fprintf(stderr, " while parsing %s \n", fullpath); parse_error |= PARSE_ERROR; } - if (fpclassify(expected) != fpclassify(result)) { + if (std::fpclassify(expected) != std::fpclassify(result)) { fprintf(stderr, "floats not in the same category expected: %f observed: %f \n", expected, result); @@ -158,6 +191,7 @@ void found_float(double result, const uint8_t *buf) { parse_error |= PARSE_ERROR; } } +#endif #include "simdjson.h" #include "simdjson.cpp" diff --git a/tests/random_string_number_tests.cpp b/tests/random_string_number_tests.cpp new file mode 100644 index 000000000..610db89da --- /dev/null +++ b/tests/random_string_number_tests.cpp @@ -0,0 +1,197 @@ +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include "simdjson.h" + + +/** + * Some systems have bad floating-point parsing. We want to exclude them. + */ +#if defined(SIMDJSON_REGULAR_VISUAL_STUDIO) || defined (__linux__) || defined (__APPLE__) || defined(__FreeBSD__) +// Ok. So under Visual Studio, linux, apple and freebsd systems, we have a good chance of having a decent +// enough strtod. It is not certain, but it is maybe a good enough heuristics. We exclude systems like msys2 +// or cygwin. +// +// Finally, we want to exclude legacy 32-bit systems. +#ifndef SIMDJSON_IS_32BITS +// So we only run some of the floating-point tests under 64-bit linux, apple, regular visual studio, freebsd. +#define TEST_FLOATS +// Apple and freebsd need a special header, typically. +#if defined __APPLE__ || defined(__FreeBSD__) +# include +#endif + +#endif + +#endif + + +struct RandomEngine { + RandomEngine() = delete; + RandomEngine(uint32_t seed) : one_zero_generator(0,1), digit_generator(0,9), nonzero_digit_generator(1,9), digit_count_generator (1,40),exp_count_generator (1,3), generator(seed) {} + std::uniform_int_distribution one_zero_generator; + std::uniform_int_distribution digit_generator; + std::uniform_int_distribution nonzero_digit_generator; + + std::uniform_int_distribution digit_count_generator; + std::uniform_int_distribution exp_count_generator; + bool next_bool() { return one_zero_generator(generator); } + int next_digit() { return digit_generator(generator); } + int next_nonzero_digit() { return nonzero_digit_generator(generator); } + int next_digit_count() { return digit_count_generator(generator); } + int next_exp_count() { return exp_count_generator(generator); } + + std::mt19937 generator; +}; + +size_t build_random_string(RandomEngine &rand, char *buffer) { + size_t pos{0}; + if (rand.next_bool()) { + buffer[pos++] = '-'; + } + size_t number_of_digits = size_t(rand.next_digit_count()); + std::uniform_int_distribution decimal_generator(1,int(number_of_digits)); + size_t location_of_decimal_separator = size_t(decimal_generator(rand.generator)); + for (size_t i = 0; i < number_of_digits; i++) { + if (i == location_of_decimal_separator) { + buffer[pos++] = '.'; + } + if (( i == 0) && (location_of_decimal_separator != 1)) { + buffer[pos++] = char(rand.next_nonzero_digit() + '0'); + } else { + buffer[pos++] = char(rand.next_digit() + '0'); + } + } + if (rand.next_bool()) { + if (rand.next_bool()) { + buffer[pos++] = 'e'; + } else { + buffer[pos++] = 'E'; + } + if (rand.next_bool()) { + buffer[pos++] = '-'; + } else { + if (rand.next_bool()) { + buffer[pos++] = '+'; + } + } + number_of_digits = rand.next_exp_count(); + size_t i = 0; + if(number_of_digits > 0) { + buffer[pos++] = char(rand.next_nonzero_digit() + '0'); + i++; + } + for (; i < number_of_digits; i++) { + buffer[pos++] = char(rand.next_digit() + '0'); + } + } + buffer[pos] = '\0'; // null termination + return pos; +} + + +#ifndef TEST_FLOATS +// We do not recognize the system, so we do not verify our results. +bool check_float(double , const char *) { + return true; +} +#else +bool check_float(double result, const char *buf) { + char *endptr; +#ifdef _WIN32 + static _locale_t c_locale = _create_locale(LC_ALL, "C"); + double expected = _strtod_l((const char *)buf, &endptr, c_locale); +#else + static locale_t c_locale = newlocale(LC_ALL_MASK, "C", NULL); + double expected = strtod_l((const char *)buf, &endptr, c_locale); +#endif + if (endptr == (const char *)buf) { + fprintf(stderr, + "parsed %f from %.32s whereas strtod refuses to parse a float, ", + result, buf); + return false; + } + if (expected != result) { + fprintf(stderr, "parsed %.128e from \n", result); + fprintf(stderr, " %.32s whereas strtod gives\n", buf); + fprintf(stderr, " %.128e,", expected); + return false; + } + return true; +} +#endif + + +/** + * We generate random strings and we try to parse them, + * and we verify that we get the same answer. + */ +bool tester(int seed, size_t volume) { + char buffer[1024]; // large buffer (can't overflow) + simdjson::dom::parser parser; + RandomEngine rand(seed); + double result; + for (size_t i = 0; i < volume; i++) { + if((i%100000) == 0) { std::cout << "."; std::cout.flush(); } + size_t length = build_random_string(rand, buffer); + auto error = parser.parse(buffer, length).get(result); + // When we parse a (finite) number, it better match strtod. + if ((!error) && (!check_float(result, buffer))) { return false; } + } + return true; +} + +int main(int argc, char *argv[]) { + // We test 1,000,000 random strings by default. + // You can specify more tests with the '-m' flag if you want. + size_t howmany = 1000000; + + int c; + while ((c = getopt(argc, argv, "a:m:h")) != -1) { + switch (c) { + case 'a': { + const simdjson::implementation *impl = simdjson::available_implementations[optarg]; + if (!impl) { + fprintf(stderr, "Unsupported architecture value -a %s\n", optarg); + return EXIT_FAILURE; + } + if(!impl->supported_by_runtime_system()) { + fprintf(stderr, "The selected implementation does not match your current CPU: -a %s\n", optarg); + return EXIT_FAILURE; + } + simdjson::active_implementation = impl; + break; + } + case 'h': { + std::cout << "-a to select an architecture" << std::endl; + std::cout << "-m to select a number of tests" << std::endl; + return EXIT_SUCCESS; + } + case 'm': { + long long requested_howmany = atoll(optarg); + if(requested_howmany <= 0) { + fprintf(stderr, "Please provide a positive number of tests -m %s no larger than %lld \n", optarg, LLONG_MAX); + return EXIT_FAILURE; + } + howmany = size_t(requested_howmany); + break; + } + default: + fprintf(stderr, "Unexpected argument %c\n", c); + return EXIT_FAILURE; + } + } + if (tester(1234344, howmany)) { + std::cout << "All tests ok." << std::endl; + return EXIT_SUCCESS; + } + std::cout << "Failure." << std::endl; + return EXIT_FAILURE; +} \ No newline at end of file