numberparsing.h

#ifndef SIMDJSON_GENERIC_NUMBERPARSING_H
 
#ifndef SIMDJSON_CONDITIONAL_INCLUDE
#define SIMDJSON_GENERIC_NUMBERPARSING_H
#include "simdjson/generic/base.h"
#include "simdjson/generic/jsoncharutils.h"
#include "simdjson/generic/atomparsing.h"
#include "simdjson/internal/numberparsing_tables.h"
#endif // SIMDJSON_CONDITIONAL_INCLUDE
 
#include <limits>
#include <ostream>
#include <cstring>
 
namespace simdjson {
namespace SIMDJSON_IMPLEMENTATION {
namespace numberparsing {
 
#ifdef JSON_TEST_NUMBERS
#define INVALID_NUMBER(SRC) (found_invalid_number((SRC)), NUMBER_ERROR)
#define WRITE_INTEGER(VALUE, SRC, WRITER) (found_integer((VALUE), (SRC)), (WRITER).append_s64((VALUE)))
#define WRITE_UNSIGNED(VALUE, SRC, WRITER) (found_unsigned_integer((VALUE), (SRC)), (WRITER).append_u64((VALUE)))
#define WRITE_DOUBLE(VALUE, SRC, WRITER) (found_float((VALUE), (SRC)), (WRITER).append_double((VALUE)))
#define BIGINT_NUMBER(SRC) (found_invalid_number((SRC)), BIGINT_ERROR)
#else
#define INVALID_NUMBER(SRC) (NUMBER_ERROR)
#define WRITE_INTEGER(VALUE, SRC, WRITER) (WRITER).append_s64((VALUE))
#define WRITE_UNSIGNED(VALUE, SRC, WRITER) (WRITER).append_u64((VALUE))
#define WRITE_DOUBLE(VALUE, SRC, WRITER) (WRITER).append_double((VALUE))
#define BIGINT_NUMBER(SRC) (BIGINT_ERROR)
#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_inline double to_double(uint64_t mantissa, uint64_t real_exponent, bool negative) {
    double d;
    mantissa &= ~(1ULL << 52);
    mantissa |= real_exponent << 52;
    mantissa |= ((static_cast<uint64_t>(negative)) << 63);
    std::memcpy(&d, &mantissa, sizeof(d));
    return d;
}
 
// Convert a mantissa, an exponent and a sign bit into an ieee32 float (binary32).
// The real_exponent needs to be in [0, 254] (technically real_exponent = 255 would be acceptable).
// The mantissa should be in [0,1<<24). The bit at index (1U << 23) will be zeroed.
simdjson_inline float to_float(uint32_t mantissa, uint32_t real_exponent, bool negative) {
    float f;
    mantissa &= ~(uint32_t(1) << 23);
    mantissa |= real_exponent << 23;
    mantissa |= ((static_cast<uint32_t>(negative)) << 31);
    std::memcpy(&f, &mantissa, sizeof(f));
    return f;
}
 
// 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 [smallest_power,
// largest_power] interval: the caller is responsible for this check.
simdjson_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
  // Clinger WD. How to read floating point numbers accurately.
  // ACM SIGPLAN Notices. 1990
#ifndef FLT_EVAL_METHOD
#error "FLT_EVAL_METHOD should be defined, please include cfloat."
#endif
#if (FLT_EVAL_METHOD != 1) && (FLT_EVAL_METHOD != 0)
  // We cannot be certain that x/y is rounded to nearest.
  if (0 <= power && power <= 22 && i <= 9007199254740991)
#else
  if (-22 <= power && power <= 22 && i <= 9007199254740991)
#endif
  {
    // convert the integer into a double. This is lossless since
    // 0 <= i <= 2^53 - 1.
    d = double(i);
    //
    // The general idea is as follows.
    // If 0 <= s < 2^53 and if 10^0 <= p <= 10^22 then
    // 1) Both s and p can be represented exactly as 64-bit floating-point
    // values
    // (binary64).
    // 2) Because s and p can be represented exactly as floating-point values,
    // then s * p
    // and s / p will produce correctly rounded values.
    //
    if (power < 0) {
      d = d / simdjson::internal::power_of_ten[-power];
    } else {
      d = d * simdjson::internal::power_of_ten[power];
    }
    if (negative) {
      d = -d;
    }
    return true;
  }
  // When 22 < power && power <  22 + 16, we could
  // hope for another, secondary fast path.  It was
  // described by David M. Gay in  "Correctly rounded
  // binary-decimal and decimal-binary conversions." (1990)
  // If you need to compute i * 10^(22 + x) for x < 16,
  // first compute i * 10^x, if you know that result is exact
  // (e.g., when i * 10^x < 2^53),
  // then you can still proceed and do (i * 10^x) * 10^22.
  // Is this worth your time?
  // You need  22 < power *and* power <  22 + 16 *and* (i * 10^(x-22) < 2^53)
  // for this second fast path to work.
  // If you you have 22 < power *and* power <  22 + 16, and then you
  // optimistically compute "i * 10^(x-22)", there is still a chance that you
  // have wasted your time if i * 10^(x-22) >= 2^53. It makes the use cases of
  // this optimization maybe less common than we would like. Source:
  // http://www.exploringbinary.com/fast-path-decimal-to-floating-point-conversion/
  // also used in RapidJSON: https://rapidjson.org/strtod_8h_source.html
 
  // The fast path has now failed, so we are failing back on the slower path.
 
  // In the slow path, we need to adjust i so that it is > 1<<63 which is always
  // possible, except if i == 0, so we handle i == 0 separately.
  if(i == 0) {
    d = negative ? -0.0 : 0.0;
    return true;
  }
 
 
  // 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.
  //
  // Computing floor(log(5**power)/log(2)) could be
  // slow. Instead we use a fast function.
  //
  // For power in (-400,350), we have that
  // (((152170 + 65536) * power ) >> 16);
  // is equal to
  //  floor(log(5**power)/log(2)) + power when power >= 0
  // and it is equal to
  //  ceil(log(5**-power)/log(2)) + power when power < 0
  //
  // The 65536 is (1<<16) and corresponds to
  // (65536 * power) >> 16 ---> power
  //
  // ((152170 * power ) >> 16) is equal to
  // floor(log(5**power)/log(2))
  //
  // Note that this is not magic: 152170/(1<<16) is
  // approximately equal to log(5)/log(2).
  // 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.
  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.
#if SIMDJSON_STATIC_REFLECTION
  simdjson::internal::value128 firstproduct = full_multiplication(i, simdjson::internal::powers_template<>::power_of_five_128[index]);
#else
  simdjson::internal::value128 firstproduct = full_multiplication(i, simdjson::internal::power_of_five_128[index]);
#endif
 
  // 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 about the product: there
  // is 0 or 1 leading zero in the product.
 
  // 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.
    //
    // 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.
#if SIMDJSON_STATIC_REFLECTION
    simdjson::internal::value128 secondproduct = full_multiplication(i, simdjson::internal::powers_template<>::power_of_five_128[index + 1]);
#else
    simdjson::internal::value128 secondproduct = full_multiplication(i, simdjson::internal::power_of_five_128[index + 1]);
#endif
    firstproduct.low += secondproduct.high;
    if(secondproduct.high > firstproduct.low) { firstproduct.high++; }
    // As it has been proven by Noble Mushtak and Daniel Lemire in "Fast Number Parsing Without
    // Fallback" (https://arxiv.org/abs/2212.06644), at this point we are sure that the product
    // is sufficiently accurate, and more computation is not needed.
  }
  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.
  uint64_t upperbit = upper >> 63;
  uint64_t mantissa = upper >> (upperbit + 9);
  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 = negative ? -0.0 : 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.
  //
  // 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;
  mantissa >>= 1;
 
  // Here we have mantissa < (1<<53), unless there was an overflow
  if (mantissa >= (1ULL << 53)) {
    // This will happen when parsing values such as 7.2057594037927933e+16
    mantissa = (1ULL << 52);
    real_exponent++;
  }
  mantissa &= ~(1ULL << 52);
  // we have to check that real_exponent is in range, otherwise we bail out
  if (simdjson_unlikely(real_exponent > 2046)) {
    // We have an infinite value!!! We could actually throw an error here if we could.
    return false;
  }
  d = to_double(mantissa, real_exponent, negative);
  return true;
}
 
// Attempts to compute i * 10^(power) as a binary32 (float) value; and if
// "negative" is true, negate the result.
//
// This is the same Eisel-Lemire algorithm as compute_float_64, retargeted at
// binary32. It is adapted from fast_float
// (https://github.com/fastfloat/fast_float), where the routine is written once
// and instantiated for each binary format. We only need 24 bits of mantissa
// instead of 53, so we ask the truncated product for 24 + 2 = 26 accurate bits
// (plus one bit that may be lost to the "upperbit" shift), and we shift the
// product right by (upperbit + 64 - 23 - 3) instead of (upperbit + 64 - 52 - 3).
//
// The power-of-five table is shared with the binary64 code: the useful range
// for binary32, [smallest_power_binary32, largest_power_binary32], is a strict
// subset of [smallest_power, largest_power].
//
// The function returns false when the result would be infinite: simdjson
// refuses to parse infinite values, so the caller reports an error. Unlike
// compute_float_64, a false return never means "try harder": the accuracy of
// the two-limb product is guaranteed by Noble Mushtak and Daniel Lemire,
// "Fast Number Parsing Without Fallback" (https://arxiv.org/abs/2212.06644).
// The caller must still fall back to a slow path when the 64-bit mantissa i
// was truncated (more than 19 significant digits).
//
// We assume that power is in the [smallest_power, largest_power] interval: the
// caller is responsible for this check.
simdjson_inline bool compute_float_32(int64_t power, uint64_t i, bool negative, float &d) {
  // Powers of ten that are exactly representable as binary32 values: 10^k is
  // exact as long as k <= 10 (5^10 = 9765625 < 2**24 while 5^11 > 2**24).
  static constexpr float power_of_ten_float[] = {
      1e0f, 1e1f, 1e2f, 1e3f, 1e4f, 1e5f,
      1e6f, 1e7f, 1e8f, 1e9f, 1e10f};
  // The range of powers of ten that a non-zero, finite binary32 value can be
  // built from. Anything smaller rounds to zero, anything larger is infinite.
  // These are the smallest_power_of_ten()/largest_power_of_ten() constants that
  // fast_float uses for binary32.
  constexpr int smallest_power_binary32 = -65;
  constexpr int largest_power_binary32 = 38;
 
  // We start with the fast path described in
  // Clinger WD. How to read floating point numbers accurately.
  // ACM SIGPLAN Notices. 1990
#ifndef FLT_EVAL_METHOD
#error "FLT_EVAL_METHOD should be defined, please include cfloat."
#endif
#if (FLT_EVAL_METHOD != 1) && (FLT_EVAL_METHOD != 0)
  // We cannot be certain that x/y is rounded to nearest.
  if (0 <= power && power <= 10 && i <= 16777215)
#else
  if (-10 <= power && power <= 10 && i <= 16777215)
#endif
  {
    // Convert the integer into a float. This is lossless since
    // 0 <= i <= 2^24 - 1.
    d = float(i);
    // Both d and the power of ten are exactly representable as binary32
    // values, so the product (or quotient) is correctly rounded.
    if (power < 0) {
      d = d / power_of_ten_float[-power];
    } else {
      d = d * power_of_ten_float[power];
    }
    if (negative) {
      d = -d;
    }
    return true;
  }
 
  // The fast path has failed, so we fall back on the Eisel-Lemire algorithm.
  // It needs i > 0 (so that the leading bit of i can be normalized), so we
  // handle i == 0 separately. We also handle the powers of ten that are so
  // small (or so large) that the answer is zero (or infinite) whatever the
  // mantissa is.
  if (i == 0 || power < smallest_power_binary32) {
    d = negative ? -0.0f : 0.0f;
    return true;
  }
  if (power > largest_power_binary32) {
    // We have, for sure, an infinite value.
    return false;
  }
 
  // The exponent is 128 + 63 + power + floor(log(5**power)/log(2)).
  // The 128 comes from the ieee32 standard (the minimal exponent is -127).
  // The 63 comes from the fact that we use a 64-bit word.
  // See compute_float_64 for a discussion of the magical 152170 + 65536.
  int64_t exponent = (((152170 + 65536) * power) >> 16) + 128 + 63;
 
  // We want the most significant bit of i to be 1. Shift if needed.
  int lz = leading_zeroes(i);
  i <<= lz;
 
  // We want the most significant 64 bits of the product i * 5**power. It is
  // safe to index the table because
  // smallest_power <= smallest_power_binary32 <= power
  //               <= largest_power_binary32 <= largest_power.
  const uint32_t index = 2 * uint32_t(power - simdjson::internal::smallest_power);
#if SIMDJSON_STATIC_REFLECTION
  simdjson::internal::value128 firstproduct = full_multiplication(i, simdjson::internal::powers_template<>::power_of_five_128[index]);
#else
  simdjson::internal::value128 firstproduct = full_multiplication(i, simdjson::internal::power_of_five_128[index]);
#endif
 
  // Unless the least significant 38 bits of the high (64-bit) part of the full
  // product are all 1s, then we know that the most significant 26 bits are
  // exact and no further work is needed. Having 26 bits is necessary because
  // we need 24 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.
  // (For binary64, the same reasoning gives 55 bits and a 9-bit mask.)
  if((firstproduct.high & 0x3FFFFFFFFF) == 0x3FFFFFFFFF) {
    // The truncated multiplication was not accurate enough; use the next 64
    // bits of the power of five to refine it. See compute_float_64 for a
    // detailed discussion.
#if SIMDJSON_STATIC_REFLECTION
    simdjson::internal::value128 secondproduct = full_multiplication(i, simdjson::internal::powers_template<>::power_of_five_128[index + 1]);
#else
    simdjson::internal::value128 secondproduct = full_multiplication(i, simdjson::internal::power_of_five_128[index + 1]);
#endif
    firstproduct.low += secondproduct.high;
    if(secondproduct.high > firstproduct.low) { firstproduct.high++; }
  }
  uint64_t lower = firstproduct.low;
  uint64_t upper = firstproduct.high;
  // The final mantissa should be 24 bits with a leading 1.
  // We shift it so that it occupies 25 bits with a leading 1.
  uint64_t upperbit = upper >> 63;
  uint64_t mantissa = upper >> (upperbit + 38); // 38 == 64 - 23 - 3
  lz += int(1 ^ upperbit);
 
  // Here we have mantissa < (1<<25).
  int64_t real_exponent = exponent - lz;
  if (simdjson_unlikely(real_exponent <= 0)) { // we have a subnormal?
    // Here we 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 = negative ? -0.0f : 0.0f;
      return true;
    }
    // next line is safe because -real_exponent + 1 < 64
    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;
    // As in compute_float_64, rounding up may take us out of the subnormal
    // range, so we can only decide after rounding.
    real_exponent = (mantissa < (uint64_t(1) << 23)) ? 0 : 1;
    d = to_float(uint32_t(mantissa), uint32_t(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. The bounds on the
  // power of ten are those of fast_float's
  // min_exponent_round_to_even()/max_exponent_round_to_even() for binary32:
  // when q >= 0, (2m+1) must be divisible by 5^q with 5^q <= 2^25, so q <= 10;
  // when q < 0, we need 2^24 x 5^{-q} < 2^{64}, so q >= -17.
  if (simdjson_unlikely((lower <= 1) && (power >= -17) && (power <= 10) && ((mantissa & 3) == 1))) {
    if((mantissa << (upperbit + 38)) == upper) {
      mantissa &= ~uint64_t(1);   // flip it so that we do not round up
    }
  }
 
  mantissa += mantissa & 1;
  mantissa >>= 1;
 
  // Here we have mantissa < (1<<24), unless there was an overflow
  if (mantissa >= (uint64_t(1) << 24)) {
    mantissa = (uint64_t(1) << 23);
    real_exponent++;
  }
  mantissa &= ~(uint64_t(1) << 23);
  // we have to check that real_exponent is in range, otherwise we bail out
  if (simdjson_unlikely(real_exponent > 254)) {
    // We have an infinite value!!! We could actually throw an error here if we could.
    return false;
  }
  d = to_float(uint32_t(mantissa), uint32_t(real_exponent), negative);
  return true;
}
 
#if SIMDJSON_ENABLE_NAN_INF
// Parses a nan or infinity. Returns true on success, false on failure.
simdjson_unused simdjson_inline bool compute_nan_inf(const uint8_t* src, bool negative, double& d) noexcept {
  if (atomparsing::is_valid_inf_atom(src)) {
    double inf = std::numeric_limits<double>::infinity();
    d = negative ? -inf : inf;
    return true;
  }
 
  if (atomparsing::is_valid_nan_atom(src)) {
    d = std::numeric_limits<double>::quiet_NaN();
    return true;
  }
 
  return false;
}
 
// Parses a nan or infinity as a binary32 value. Returns true on success, false on failure.
simdjson_unused simdjson_inline bool compute_nan_inf(const uint8_t* src, bool negative, float& d) noexcept {
  if (atomparsing::is_valid_inf_atom(src)) {
    float inf = std::numeric_limits<float>::infinity();
    d = negative ? -inf : inf;
    return true;
  }
 
  if (atomparsing::is_valid_nan_atom(src)) {
    d = std::numeric_limits<float>::quiet_NaN();
    return true;
  }
 
  return false;
}
#endif
 
// 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(reinterpret_cast<const char *>(ptr));
  // We do not accept infinite values.
 
  // Detecting finite values in a portable manner is ridiculously hard, ideally
  // we would want to do:
  // return !std::isfinite(*outDouble);
  // but that mysteriously fails under legacy/old libc++ libraries, see
  // https://github.com/simdjson/simdjson/issues/1286
  //
  // Therefore, fall back to this solution (the extra parens are there
  // to handle that max may be a macro on windows).
  return !(*outDouble > (std::numeric_limits<double>::max)() || *outDouble < std::numeric_limits<double>::lowest());
}
 
static bool parse_float_fallback(const uint8_t *ptr, const uint8_t *end_ptr, double *outDouble) {
  *outDouble = simdjson::internal::from_chars(reinterpret_cast<const char *>(ptr), reinterpret_cast<const char *>(end_ptr));
  // We do not accept infinite values.
 
  // Detecting finite values in a portable manner is ridiculously hard, ideally
  // we would want to do:
  // return !std::isfinite(*outDouble);
  // but that mysteriously fails under legacy/old libc++ libraries, see
  // https://github.com/simdjson/simdjson/issues/1286
  //
  // Therefore, fall back to this solution (the extra parens are there
  // to handle that max may be a macro on windows).
  return !(*outDouble > (std::numeric_limits<double>::max)() || *outDouble < std::numeric_limits<double>::lowest());
}
 
// Same as parse_float_fallback, but for binary32 (float) values. Going through
// the binary64 fallback and then rounding to binary32 would be subject to
// double rounding, so we run the fallback algorithm directly on binary32.
static bool parse_float_fallback(const uint8_t *ptr, float *outFloat) {
  *outFloat = simdjson::internal::from_chars_float(reinterpret_cast<const char *>(ptr));
  // We do not accept infinite values. See the binary64 version above for why we
  // do not use std::isfinite.
  return !(*outFloat > (std::numeric_limits<float>::max)() || *outFloat < std::numeric_limits<float>::lowest());
}
 
// check quickly whether the next 8 chars are made of digits
// at a glance, it looks better than Mula's
// http://0x80.pl/articles/swar-digits-validate.html
simdjson_inline bool is_made_of_eight_digits_fast(const uint8_t *chars) {
  uint64_t val;
  // this can read up to 7 bytes beyond the buffer size, but we require
  // SIMDJSON_PADDING of padding
  static_assert(7 <= SIMDJSON_PADDING, "SIMDJSON_PADDING must be bigger than 7");
  std::memcpy(&val, chars, 8);
  // a branchy method might be faster:
  // return (( val & 0xF0F0F0F0F0F0F0F0 ) == 0x3030303030303030)
  //  && (( (val + 0x0606060606060606) & 0xF0F0F0F0F0F0F0F0 ) ==
  //  0x3030303030303030);
  return (((val & 0xF0F0F0F0F0F0F0F0) |
           (((val + 0x0606060606060606) & 0xF0F0F0F0F0F0F0F0) >> 4)) ==
          0x3333333333333333);
}
 
// The same idea for four characters. A block of eight only bites when eight
// digits are left, so a run of 4 to 7 digits used to fall back to one digit at a
// time; taking four of them at once is what makes the tail of a long fraction
// cheap. Adapted from fast_float, credit @aqrit.
simdjson_inline bool is_made_of_four_digits_fast(const uint8_t *chars) {
  uint32_t val;
  // Reads up to 3 bytes beyond the digits, which SIMDJSON_PADDING covers.
  static_assert(3 <= SIMDJSON_PADDING, "SIMDJSON_PADDING must be bigger than 3");
  std::memcpy(&val, chars, 4);
  return !(((val + 0x46464646) | (val - 0x30303030)) & 0x80808080);
}
 
// Only call this when is_made_of_four_digits_fast() says the four characters are
// digits. Little-endian: guarded by SIMDJSON_SWAR_NUMBER_PARSING.
simdjson_inline uint32_t parse_four_digits_unrolled(const uint8_t *chars) {
  uint32_t val;
  std::memcpy(&val, chars, 4);
  val -= 0x30303030;
  val = (val * 10) + (val >> 8);
  return (((val & 0x00FF00FF) * 0x00640001) >> 16) & 0xFFFF;
}
 
template<typename I>
SIMDJSON_NO_SANITIZE_UNDEFINED // We deliberately allow overflow here and check later
simdjson_inline bool parse_digit(const uint8_t c, I &i) {
  const uint8_t digit = static_cast<uint8_t>(c - '0');
  if (digit > 9) {
    return false;
  }
  // PERF NOTE: multiplication by 10 is cheaper than arbitrary integer multiplication
  i = 10 * i + digit; // might overflow, we will handle the overflow later
  return true;
}
 
simdjson_inline bool is_digit(const uint8_t c) {
  return static_cast<uint8_t>(c - '0') <= 9;
}
 
// Consumes a run of digits into i, eight at a time while eight are available,
// then four, then one at a time. Overflow is deliberate: the caller counts the
// digits and falls back when there are too many for a 64-bit mantissa.
//
// Long runs of digits are what a float-heavy document is made of: the fraction
// of a binary64 printed to full precision is 15 to 17 digits, and reading those
// one at a time is the single largest cost in parse_double(). Integer parts are
// left alone: they are usually a handful of digits, and there the check for a
// block of eight is wasted work.
SIMDJSON_NO_SANITIZE_UNDEFINED
simdjson_inline void parse_fraction_digits(const uint8_t *&p, uint64_t &i) {
#ifdef SIMDJSON_SWAR_NUMBER_PARSING
#if SIMDJSON_SWAR_NUMBER_PARSING
  while (is_made_of_eight_digits_fast(p)) {
    i = i * 100000000 + parse_eight_digits_unrolled(p);
    p += 8;
  }
  // A 4 to 7 digit remainder is the common case once the blocks of eight are
  // gone: 15 fraction digits leave 7, and 17 leave 1 after two blocks.
  if (is_made_of_four_digits_fast(p)) {
    i = i * 10000 + parse_four_digits_unrolled(p);
    p += 4;
  }
#endif // SIMDJSON_SWAR_NUMBER_PARSING
#endif // #ifdef SIMDJSON_SWAR_NUMBER_PARSING
  while (parse_digit(*p, i)) { p++; }
}
 
SIMDJSON_NO_SANITIZE_UNDEFINED
simdjson_inline void parse_float_integer_digits(const uint8_t *&p, uint64_t &i,
                                                bool &leading_zero) {
  if (!parse_digit(*p, i)) { leading_zero = true; return; }
  p++;
  leading_zero = (i == 0);
  while (parse_digit(*p, i)) { p++; }
}
 
SIMDJSON_NO_SANITIZE_UNDEFINED
simdjson_inline void parse_integer_digits(const uint8_t *&p, uint64_t &i) {
#ifdef SIMDJSON_SWAR_NUMBER_PARSING
#if SIMDJSON_SWAR_NUMBER_PARSING
  // Identifiers, timestamps and counters often have eight digits or more.
  if (is_made_of_eight_digits_fast(p)) {
    i = i * 100000000 + parse_eight_digits_unrolled(p);
    p += 8;
  }
  const uint8_t *const swar_end = p + 8;
  while (p < swar_end && is_made_of_four_digits_fast(p)) {
    i = i * 10000 + parse_four_digits_unrolled(p);
    p += 4;
  }
#endif // SIMDJSON_SWAR_NUMBER_PARSING
#endif // #ifdef SIMDJSON_SWAR_NUMBER_PARSING
  while (parse_digit(*p, i)) { p++; }
}
 
simdjson_warn_unused simdjson_inline error_code parse_decimal_after_separator(simdjson_unused const uint8_t *const src, const uint8_t *&p, uint64_t &i, int64_t &exponent) {
  // we continue with the fiction that we have an integer. If the
  // floating point number is representable as x * 10^z for some integer
  // z that fits in 53 bits, then we will be able to convert back the
  // the integer into a float in a lossless manner.
  const uint8_t *const first_after_period = p;
  parse_fraction_digits(p, i);
  exponent = first_after_period - p;
  // Decimal without digits (123.) is illegal
  if (exponent == 0) {
    return INVALID_NUMBER(src);
  }
  return SUCCESS;
}
 
simdjson_warn_unused simdjson_inline error_code parse_exponent(simdjson_unused const uint8_t *const src, const uint8_t *&p, int64_t &exponent) {
  // Exp Sign: -123.456e[-]78
  bool neg_exp = ('-' == *p);
  if (neg_exp || '+' == *p) { p++; } // Skip + as well
 
  // Exponent: -123.456e-[78]
  auto start_exp = p;
  int64_t exp_number = 0;
  while (parse_digit(*p, exp_number)) { ++p; }
  // 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
  // instructions for a simdjson_likely branch, an unconclusive gain.
 
  // If there were no digits, it's an error.
  if (simdjson_unlikely(p == start_exp)) {
    return INVALID_NUMBER(src);
  }
  // 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
  // something!!!!
  if (simdjson_unlikely(p > start_exp+18)) {
    // Skip leading zeroes: 1e000000000000000000001 is technically valid and does not overflow
    while (*start_exp == '0') { start_exp++; }
    // 19 digits could overflow int64_t and is kind of absurd anyway. We don't
    // support exponents smaller than -999,999,999,999,999,999 and bigger
    // than 999,999,999,999,999,999.
    // We can truncate.
    // 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.
    // 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
  // [-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.
  exponent += (neg_exp ? -exp_number : exp_number);
  return SUCCESS;
}
 
simdjson_inline bool check_if_integer(const uint8_t *const src, size_t max_length) {
  const uint8_t *const srcend = src + max_length;
  bool negative = (*src == '-'); // we can always read at least one character after the '-'
  const uint8_t *p = src + uint8_t(negative);
  if(p == srcend) { return false; }
  if(*p == '0') {
    ++p;
    if(p == srcend) { return true; }
    if(jsoncharutils::is_not_structural_or_whitespace(*p)) { return false; }
    return true;
  }
  while(p != srcend && is_digit(*p)) { ++p; }
  if(p == srcend) { return true; }
  if(jsoncharutils::is_not_structural_or_whitespace(*p)) { return false; }
  return true;
}
 
simdjson_inline size_t significant_digits(const uint8_t * start_digits, size_t digit_count) {
  // It is possible that the integer had an overflow.
  // We have to handle the case where we have 0.0000somenumber.
  const uint8_t *start = start_digits;
  while ((*start == '0') || (*start == '.')) { ++start; }
  // we over-decrement by one when there is a '.'
  return digit_count - size_t(start - start_digits);
}
 
} // unnamed namespace
 
inline error_code slow_float_parsing(simdjson_unused const uint8_t * src, double* answer) {
  if (parse_float_fallback(src, answer)) {
    return SUCCESS;
  }
  return INVALID_NUMBER(src);
}
 
template<typename W>
simdjson_warn_unused simdjson_inline error_code write_float(const uint8_t *const src, bool negative, uint64_t i, const uint8_t * start_digits, size_t digit_count, int64_t exponent, W &writer) {
  // 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.
  //
  // 9999999999999999999 < 2**64 so we can accommodate 19 digits.
  // 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!!!
    // This will happen in the following examples:
    // 10000000000000000000000000000000000000000000e+308
    // 3.1415926535897932384626433832795028841971693993751
    //
    // NOTE: We do not pass a reference to the to slow_float_parsing. 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.
    double d;
    error_code error = slow_float_parsing(src, &d);
    writer.append_double(d);
    return error;
  }
  // 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 < 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)) {
      // E.g. Parse "-0.0e-999" into the same value as "-0.0". See https://en.wikipedia.org/wiki/Signed_zero
      WRITE_DOUBLE(negative ? -0.0 : 0.0, 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_fallback(src, &d)) { return INVALID_NUMBER(src); }
  }
  WRITE_DOUBLE(d, src, writer);
  return SUCCESS;
}
 
// parse the number at src
// define JSON_TEST_NUMBERS for unit testing
//
// It is assumed that the number is followed by a structural ({,},],[) character
// or a white space character. If that is not the case (e.g., when the JSON
// document is made of a single number), then it is necessary to copy the
// content and append a space before calling this function.
//
// Our objective is accurate parsing (ULP of 0) at high speed.
template<typename W>
simdjson_warn_unused simdjson_inline error_code parse_number(const uint8_t *const src, W &writer);
 
// for performance analysis, it is sometimes  useful to skip parsing
#ifdef SIMDJSON_SKIPNUMBERPARSING
 
template<typename W>
simdjson_warn_unused simdjson_inline error_code parse_number(const uint8_t *const, W &writer) {
  writer.append_s64(0);        // always write zero
  return SUCCESS;              // always succeeds
}
 
simdjson_unused simdjson_inline simdjson_result<uint64_t> parse_unsigned(const uint8_t * const) noexcept { return 0; }
simdjson_unused simdjson_inline simdjson_result<int64_t> parse_integer(const uint8_t * const) noexcept { return 0; }
simdjson_unused simdjson_inline simdjson_result<double> parse_double(const uint8_t * const) noexcept { return 0; }
simdjson_unused simdjson_inline simdjson_result<float> parse_float(const uint8_t * const) noexcept { return 0; }
simdjson_unused simdjson_inline simdjson_result<uint64_t> parse_unsigned_in_string(const uint8_t * const) noexcept { return 0; }
simdjson_unused simdjson_inline simdjson_result<int64_t> parse_integer_in_string(const uint8_t * const) noexcept { return 0; }
simdjson_unused simdjson_inline simdjson_result<double> parse_double_in_string(const uint8_t * const) noexcept { return 0; }
simdjson_unused simdjson_inline simdjson_result<float> parse_float_in_string(const uint8_t * const) noexcept { return 0; }
simdjson_unused simdjson_inline bool is_negative(const uint8_t *) noexcept  { return false; }
simdjson_unused simdjson_inline simdjson_result<bool> is_integer(const uint8_t *) noexcept  { return false; }
simdjson_unused simdjson_inline simdjson_result<number_type> get_number_type(const uint8_t *) noexcept { return number_type::signed_integer; }
#else
 
// parse the number at src
// define JSON_TEST_NUMBERS for unit testing
//
// It is assumed that the number is followed by a structural ({,},],[) character
// or a white space character. If that is not the case (e.g., when the JSON
// document is made of a single number), then it is necessary to copy the
// content and append a space before calling this function.
//
// Our objective is accurate parsing (ULP of 0) at high speed.
template<typename W>
simdjson_warn_unused simdjson_inline error_code parse_number(const uint8_t *const src, W &writer) {
  //
  // Check for minus sign
  //
  bool negative = (*src == '-');
  const uint8_t *p = src + uint8_t(negative);
 
  //
  // Parse the integer part.
  //
  // PERF NOTE: we don't use is_made_of_eight_digits_fast because large integers like 123456789 are rare
  const uint8_t *const start_digits = p;
  uint64_t i = 0;
  while (parse_digit(*p, i)) { p++; }
 
  // If there were no digits, or if the integer starts with 0 and has more than one digit, it's an error.
  // Optimization note: size_t is expected to be unsigned.
  size_t digit_count = size_t(p - start_digits);
  if (digit_count == 0 || ('0' == *start_digits && digit_count > 1)) {
 
#if SIMDJSON_ENABLE_NAN_INF
    // By this point, we know that our input does not begin with a digit. We will attempt
    // to handle NaN/Infinity.
 
    double d;
    if (compute_nan_inf(p, negative, d)) {
      writer.append_double(d);
      return SUCCESS;
    }
#endif
 
    return INVALID_NUMBER(src);
  }
 
  //
  // Handle floats if there is a . or e (or both)
  //
  int64_t exponent = 0;
  bool is_float = false;
  if ('.' == *p) {
    is_float = true;
    ++p;
    SIMDJSON_TRY( parse_decimal_after_separator(src, p, i, exponent) );
    digit_count = int(p - start_digits); // used later to guard against overflows
  }
  if (('e' == *p) || ('E' == *p)) {
    is_float = true;
    ++p;
    SIMDJSON_TRY( parse_exponent(src, p, exponent) );
  }
  if (is_float) {
    const bool dirty_end = jsoncharutils::is_not_structural_or_whitespace(*p);
    SIMDJSON_TRY( write_float(src, negative, i, start_digits, digit_count, exponent, writer) );
    if (dirty_end) { return INVALID_NUMBER(src); }
    return SUCCESS;
  }
 
  // The longest negative 64-bit number is 19 digits.
  // The longest positive 64-bit number is 20 digits.
  // We do it this way so we don't trigger this branch unless we must.
  size_t longest_digit_count = negative ? 19 : 20;
  if (digit_count > longest_digit_count) { return BIGINT_NUMBER(src); }
  if (digit_count == longest_digit_count) {
    if (negative) {
      // Anything negative above INT64_MAX+1 is invalid
      if (i > uint64_t(INT64_MAX)+1) { return BIGINT_NUMBER(src);  }
      WRITE_INTEGER(~i+1, src, writer);
      if (jsoncharutils::is_not_structural_or_whitespace(*p)) { return INVALID_NUMBER(src); }
      return SUCCESS;
    // Positive overflow check:
    // - A 20 digit number starting with 2-9 is overflow, because 18,446,744,073,709,551,615 is the
    //   biggest uint64_t.
    // - A 20 digit number starting with 1 is overflow if it is less than INT64_MAX.
    //   If we got here, it's a 20 digit number starting with the digit "1".
    // - If a 20 digit number starting with 1 overflowed (i*10+digit), the result will be smaller
    //   than 1,553,255,926,290,448,384.
    // - That is smaller than the smallest possible 20-digit number the user could write:
    //   10,000,000,000,000,000,000.
    // - Therefore, if the number is positive and lower than that, it's overflow.
    // - The value we are looking at is less than or equal to INT64_MAX.
    //
    }  else if (src[0] != uint8_t('1') || i <= uint64_t(INT64_MAX)) { return BIGINT_NUMBER(src); }
  }
 
  // Write unsigned if it does not fit in a signed integer.
  if (i > uint64_t(INT64_MAX)) {
    WRITE_UNSIGNED(i, src, writer);
  } else {
#if SIMDJSON_MINUS_ZERO_AS_FLOAT
    if(i == 0 && negative) {
      // We have to write -0.0 instead of 0
      WRITE_DOUBLE(-0.0, src, writer);
    } else {
      WRITE_INTEGER(negative ? (~i+1) : i, src, writer);
    }
#else
  WRITE_INTEGER(negative ? (~i+1) : i, src, writer);
#endif
  }
  if (jsoncharutils::is_not_structural_or_whitespace(*p)) { return INVALID_NUMBER(src); }
  return SUCCESS;
}
 
// Inlineable functions
namespace {
 
// This table can be used to characterize the final character of an integer
// string. For JSON structural character and allowable white space characters,
// we return SUCCESS. For 'e', '.' and 'E', we return INCORRECT_TYPE. Otherwise
// we return NUMBER_ERROR.
// Optimization note: we could easily reduce the size of the table by half (to 128)
// at the cost of an extra branch.
// Optimization note: we want the values to use at most 8 bits (not, e.g., 32 bits):
static_assert(error_code(uint8_t(NUMBER_ERROR))== NUMBER_ERROR, "bad NUMBER_ERROR cast");
static_assert(error_code(uint8_t(SUCCESS))== SUCCESS, "bad NUMBER_ERROR cast");
static_assert(error_code(uint8_t(INCORRECT_TYPE))== INCORRECT_TYPE, "bad NUMBER_ERROR cast");
 
const uint8_t integer_string_finisher[256] = {
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, SUCCESS,
    SUCCESS,      NUMBER_ERROR,   NUMBER_ERROR, SUCCESS,      NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   SUCCESS,      NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, SUCCESS,
    NUMBER_ERROR, INCORRECT_TYPE, NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, SUCCESS,      NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, INCORRECT_TYPE,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, SUCCESS,        NUMBER_ERROR, SUCCESS,      NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, INCORRECT_TYPE, NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, SUCCESS,      NUMBER_ERROR,
    SUCCESS,      NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR, NUMBER_ERROR,   NUMBER_ERROR, NUMBER_ERROR, NUMBER_ERROR,
    NUMBER_ERROR};
 
// Parse any number from 0 to 18,446,744,073,709,551,615
simdjson_unused simdjson_inline simdjson_result<uint64_t> parse_unsigned(const uint8_t * const src) noexcept {
  const uint8_t *p = src;
  //
  // Parse the integer part.
  //
  // PERF NOTE: we don't use is_made_of_eight_digits_fast because large integers like 123456789 are rare
  const uint8_t *const start_digits = p;
  uint64_t i = 0;
  parse_integer_digits(p, i);
 
  // If there were no digits, or if the integer starts with 0 and has more than one digit, it's an error.
  // Optimization note: size_t is expected to be unsigned.
  size_t digit_count = size_t(p - start_digits);
  // The longest positive 64-bit number is 20 digits.
  // We do it this way so we don't trigger this branch unless we must.
  // Optimization note: the compiler can probably merge
  // ((digit_count == 0) || (digit_count > 20))
  // into a single  branch since digit_count is unsigned.
  if ((digit_count == 0) || (digit_count > 20)) { return INCORRECT_TYPE; }
  // Here digit_count > 0.
  if (('0' == *start_digits) && (digit_count > 1)) { return NUMBER_ERROR; }
  // We can do the following...
  // if (!jsoncharutils::is_structural_or_whitespace(*p)) {
  //  return (*p == '.' || *p == 'e' || *p == 'E') ? INCORRECT_TYPE : NUMBER_ERROR;
  // }
  // as a single table lookup:
  if (integer_string_finisher[*p] != SUCCESS) { return error_code(integer_string_finisher[*p]); }
 
  if (digit_count == 20) {
    // Positive overflow check:
    // - A 20 digit number starting with 2-9 is overflow, because 18,446,744,073,709,551,615 is the
    //   biggest uint64_t.
    // - A 20 digit number starting with 1 is overflow if it is less than INT64_MAX.
    //   If we got here, it's a 20 digit number starting with the digit "1".
    // - If a 20 digit number starting with 1 overflowed (i*10+digit), the result will be smaller
    //   than 1,553,255,926,290,448,384.
    // - That is smaller than the smallest possible 20-digit number the user could write:
    //   10,000,000,000,000,000,000.
    // - Therefore, if the number is positive and lower than that, it's overflow.
    // - The value we are looking at is less than or equal to INT64_MAX.
    //
    if (src[0] != uint8_t('1') || i <= uint64_t(INT64_MAX)) { return INCORRECT_TYPE; }
  }
 
  return i;
}
 
 
// Parse any number from 0 to 18,446,744,073,709,551,615
// Never read at src_end or beyond
simdjson_unused simdjson_inline simdjson_result<uint64_t> parse_unsigned(const uint8_t * const src, const uint8_t * const src_end) noexcept {
  const uint8_t *p = src;
  //
  // Parse the integer part.
  //
  // PERF NOTE: we don't use is_made_of_eight_digits_fast because large integers like 123456789 are rare
  const uint8_t *const start_digits = p;
  uint64_t i = 0;
  while ((p != src_end) && parse_digit(*p, i)) { p++; }
 
  // If there were no digits, or if the integer starts with 0 and has more than one digit, it's an error.
  // Optimization note: size_t is expected to be unsigned.
  size_t digit_count = size_t(p - start_digits);
  // The longest positive 64-bit number is 20 digits.
  // We do it this way so we don't trigger this branch unless we must.
  // Optimization note: the compiler can probably merge
  // ((digit_count == 0) || (digit_count > 20))
  // into a single  branch since digit_count is unsigned.
  if ((digit_count == 0) || (digit_count > 20)) { return INCORRECT_TYPE; }
  // Here digit_count > 0.
  if (('0' == *start_digits) && (digit_count > 1)) { return NUMBER_ERROR; }
  // We can do the following...
  // if (!jsoncharutils::is_structural_or_whitespace(*p)) {
  //  return (*p == '.' || *p == 'e' || *p == 'E') ? INCORRECT_TYPE : NUMBER_ERROR;
  // }
  // as a single table lookup:
  if ((p != src_end) && integer_string_finisher[*p] != SUCCESS) { return error_code(integer_string_finisher[*p]); }
 
  if (digit_count == 20) {
    // Positive overflow check:
    // - A 20 digit number starting with 2-9 is overflow, because 18,446,744,073,709,551,615 is the
    //   biggest uint64_t.
    // - A 20 digit number starting with 1 is overflow if it is less than INT64_MAX.
    //   If we got here, it's a 20 digit number starting with the digit "1".
    // - If a 20 digit number starting with 1 overflowed (i*10+digit), the result will be smaller
    //   than 1,553,255,926,290,448,384.
    // - That is smaller than the smallest possible 20-digit number the user could write:
    //   10,000,000,000,000,000,000.
    // - Therefore, if the number is positive and lower than that, it's overflow.
    // - The value we are looking at is less than or equal to INT64_MAX.
    //
    if (src[0] != uint8_t('1') || i <= uint64_t(INT64_MAX)) { return INCORRECT_TYPE; }
  }
 
  return i;
}
 
// Parse any number from 0 to 18,446,744,073,709,551,615
simdjson_unused simdjson_inline simdjson_result<uint64_t> parse_unsigned_in_string(const uint8_t * const src) noexcept {
  const uint8_t *p = src + 1;
  //
  // Parse the integer part.
  //
  // PERF NOTE: we don't use is_made_of_eight_digits_fast because large integers like 123456789 are rare
  const uint8_t *const start_digits = p;
  uint64_t i = 0;
  parse_integer_digits(p, i);
 
  // If there were no digits, or if the integer starts with 0 and has more than one digit, it's an error.
  // Optimization note: size_t is expected to be unsigned.
  size_t digit_count = size_t(p - start_digits);
  // The longest positive 64-bit number is 20 digits.
  // We do it this way so we don't trigger this branch unless we must.
  // Optimization note: the compiler can probably merge
  // ((digit_count == 0) || (digit_count > 20))
  // into a single  branch since digit_count is unsigned.
  if ((digit_count == 0) || (digit_count > 20)) { return INCORRECT_TYPE; }
  // Here digit_count > 0.
  if (('0' == *start_digits) && (digit_count > 1)) { return NUMBER_ERROR; }
  // We can do the following...
  // if (!jsoncharutils::is_structural_or_whitespace(*p)) {
  //  return (*p == '.' || *p == 'e' || *p == 'E') ? INCORRECT_TYPE : NUMBER_ERROR;
  // }
  // as a single table lookup:
  if (*p != '"') { return NUMBER_ERROR; }
 
  if (digit_count == 20) {
    // Positive overflow check:
    // - A 20 digit number starting with 2-9 is overflow, because 18,446,744,073,709,551,615 is the
    //   biggest uint64_t.
    // - A 20 digit number starting with 1 is overflow if it is less than INT64_MAX.
    //   If we got here, it's a 20 digit number starting with the digit "1".
    // - If a 20 digit number starting with 1 overflowed (i*10+digit), the result will be smaller
    //   than 1,553,255,926,290,448,384.
    // - That is smaller than the smallest possible 20-digit number the user could write:
    //   10,000,000,000,000,000,000.
    // - Therefore, if the number is positive and lower than that, it's overflow.
    // - The value we are looking at is less than or equal to INT64_MAX.
    //
    // Note: we use src[1] and not src[0] because src[0] is the quote character in this
    // instance.
    if (src[1] != uint8_t('1') || i <= uint64_t(INT64_MAX)) { return INCORRECT_TYPE; }
  }
 
  return i;
}
 
// Parse any number from  -9,223,372,036,854,775,808 to 9,223,372,036,854,775,807
simdjson_unused simdjson_inline simdjson_result<int64_t> parse_integer(const uint8_t *src) noexcept {
  //
  // Check for minus sign
  //
  bool negative = (*src == '-');
  const uint8_t *p = src + uint8_t(negative);
 
  //
  // Parse the integer part.
  //
  // PERF NOTE: we don't use is_made_of_eight_digits_fast because large integers like 123456789 are rare
  const uint8_t *const start_digits = p;
  uint64_t i = 0;
  parse_integer_digits(p, i);
 
  // If there were no digits, or if the integer starts with 0 and has more than one digit, it's an error.
  // Optimization note: size_t is expected to be unsigned.
  size_t digit_count = size_t(p - start_digits);
  // We go from
  // -9,223,372,036,854,775,808 to 9,223,372,036,854,775,807
  // so we can never represent numbers that have more than 19 digits.
  size_t longest_digit_count = 19;
  // Optimization note: the compiler can probably merge
  // ((digit_count == 0) || (digit_count > longest_digit_count))
  // into a single  branch since digit_count is unsigned.
  if ((digit_count == 0) || (digit_count > longest_digit_count)) { return INCORRECT_TYPE; }
  // Here digit_count > 0.
  if (('0' == *start_digits) && (digit_count > 1)) { return NUMBER_ERROR; }
  // We can do the following...
  // if (!jsoncharutils::is_structural_or_whitespace(*p)) {
  //  return (*p == '.' || *p == 'e' || *p == 'E') ? INCORRECT_TYPE : NUMBER_ERROR;
  // }
  // as a single table lookup:
  if(integer_string_finisher[*p] != SUCCESS) { return error_code(integer_string_finisher[*p]); }
  // Negative numbers have can go down to - INT64_MAX - 1 whereas positive numbers are limited to INT64_MAX.
  // Performance note: This check is only needed when digit_count == longest_digit_count but it is
  // so cheap that we might as well always make it.
  if(i > uint64_t(INT64_MAX) + uint64_t(negative)) { return INCORRECT_TYPE; }
  return negative ? (~i+1) : i;
}
 
// Parse any number from  -9,223,372,036,854,775,808 to 9,223,372,036,854,775,807
// Never read at src_end or beyond
simdjson_unused simdjson_inline simdjson_result<int64_t> parse_integer(const uint8_t * const src, const uint8_t * const src_end) noexcept {
  //
  // Check for minus sign
  //
  if(src == src_end) { return NUMBER_ERROR; }
  bool negative = (*src == '-');
  const uint8_t *p = src + uint8_t(negative);
 
  //
  // Parse the integer part.
  //
  // PERF NOTE: we don't use is_made_of_eight_digits_fast because large integers like 123456789 are rare
  const uint8_t *const start_digits = p;
  uint64_t i = 0;
  while ((p != src_end) && parse_digit(*p, i)) { p++; }
 
  // If there were no digits, or if the integer starts with 0 and has more than one digit, it's an error.
  // Optimization note: size_t is expected to be unsigned.
  size_t digit_count = size_t(p - start_digits);
  // We go from
  // -9,223,372,036,854,775,808 to 9,223,372,036,854,775,807
  // so we can never represent numbers that have more than 19 digits.
  size_t longest_digit_count = 19;
  // Optimization note: the compiler can probably merge
  // ((digit_count == 0) || (digit_count > longest_digit_count))
  // into a single  branch since digit_count is unsigned.
  if ((digit_count == 0) || (digit_count > longest_digit_count)) { return INCORRECT_TYPE; }
  // Here digit_count > 0.
  if (('0' == *start_digits) && (digit_count > 1)) { return NUMBER_ERROR; }
  // We can do the following...
  // if (!jsoncharutils::is_structural_or_whitespace(*p)) {
  //  return (*p == '.' || *p == 'e' || *p == 'E') ? INCORRECT_TYPE : NUMBER_ERROR;
  // }
  // as a single table lookup:
  if((p != src_end) && integer_string_finisher[*p] != SUCCESS) { return error_code(integer_string_finisher[*p]); }
  // Negative numbers have can go down to - INT64_MAX - 1 whereas positive numbers are limited to INT64_MAX.
  // Performance note: This check is only needed when digit_count == longest_digit_count but it is
  // so cheap that we might as well always make it.
  if(i > uint64_t(INT64_MAX) + uint64_t(negative)) { return INCORRECT_TYPE; }
  return negative ? (~i+1) : i;
}
 
// Parse any number from  -9,223,372,036,854,775,808 to 9,223,372,036,854,775,807
simdjson_unused simdjson_inline simdjson_result<int64_t> parse_integer_in_string(const uint8_t *src) noexcept {
  //
  // Check for minus sign
  //
  bool negative = (*(src + 1) == '-');
  src += uint8_t(negative) + 1;
 
  //
  // Parse the integer part.
  //
  // PERF NOTE: we don't use is_made_of_eight_digits_fast because large integers like 123456789 are rare
  const uint8_t *const start_digits = src;
  uint64_t i = 0;
  parse_integer_digits(src, i);
 
  // If there were no digits, or if the integer starts with 0 and has more than one digit, it's an error.
  // Optimization note: size_t is expected to be unsigned.
  size_t digit_count = size_t(src - start_digits);
  // We go from
  // -9,223,372,036,854,775,808 to 9,223,372,036,854,775,807
  // so we can never represent numbers that have more than 19 digits.
  size_t longest_digit_count = 19;
  // Optimization note: the compiler can probably merge
  // ((digit_count == 0) || (digit_count > longest_digit_count))
  // into a single  branch since digit_count is unsigned.
  if ((digit_count == 0) || (digit_count > longest_digit_count)) { return INCORRECT_TYPE; }
  // Here digit_count > 0.
  if (('0' == *start_digits) && (digit_count > 1)) { return NUMBER_ERROR; }
  // We can do the following...
  // if (!jsoncharutils::is_structural_or_whitespace(*src)) {
  //  return (*src == '.' || *src == 'e' || *src == 'E') ? INCORRECT_TYPE : NUMBER_ERROR;
  // }
  // as a single table lookup:
  if(*src != '"') { return NUMBER_ERROR; }
  // Negative numbers have can go down to - INT64_MAX - 1 whereas positive numbers are limited to INT64_MAX.
  // Performance note: This check is only needed when digit_count == longest_digit_count but it is
  // so cheap that we might as well always make it.
  if(i > uint64_t(INT64_MAX) + uint64_t(negative)) { return INCORRECT_TYPE; }
  return negative ? (~i+1) : i;
}
 
simdjson_unused simdjson_inline simdjson_result<double> parse_double(const uint8_t * src) noexcept {
  //
  // Check for minus sign
  //
  bool negative = (*src == '-');
  src += uint8_t(negative);
 
  //
  // Parse the integer part.
  //
  uint64_t i = 0;
  const uint8_t *p = src;
  bool leading_zero;
  parse_float_integer_digits(p, i, leading_zero);
  // no integer digits, or 0123 (zero must be solo)
  if ( p == src ) {
 
#if SIMDJSON_ENABLE_NAN_INF
    // If there are no loading digits, the number may be nan or infinity.
    // Attempt to compute those, and return on success.
    double d;
    if (compute_nan_inf(p, negative, d)) { return d; }
#endif
 
    return INCORRECT_TYPE;
  }
  if ( (leading_zero && p != src+1)) { return NUMBER_ERROR; }
 
  //
  // Parse the decimal part.
  //
  int64_t exponent = 0;
  bool overflow;
  if (simdjson_likely(*p == '.')) {
    p++;
    const uint8_t *start_decimal_digits = p;
    parse_fraction_digits(p, i);
    if (p == start_decimal_digits) { return NUMBER_ERROR; } // no decimal digits
    exponent = -(p - start_decimal_digits);
 
    // Overflow check. More than 19 digits (minus the decimal) may be overflow.
    overflow = p-src-1 > 19;
    if (simdjson_unlikely(overflow && leading_zero)) {
      // Skip leading 0.00000 and see if it still overflows
      const uint8_t *start_digits = src + 2;
      while (*start_digits == '0') { start_digits++; }
      overflow = p-start_digits > 19;
    }
  } else {
    overflow = p-src > 19;
  }
 
  //
  // Parse the exponent
  //
  if (*p == 'e' || *p == 'E') {
    p++;
    bool exp_neg = *p == '-';
    p += exp_neg || *p == '+';
 
    uint64_t exp = 0;
    const uint8_t *start_exp_digits = p;
    while (parse_digit(*p, exp)) { p++; }
    // no exp digits, or 20+ exp digits
    if (p-start_exp_digits == 0 || p-start_exp_digits > 19) { return NUMBER_ERROR; }
 
    exponent += exp_neg ? 0-exp : exp;
  }
 
  if (jsoncharutils::is_not_structural_or_whitespace(*p)) { return NUMBER_ERROR; }
 
  overflow = overflow || exponent < simdjson::internal::smallest_power || exponent > simdjson::internal::largest_power;
 
  //
  // Assemble (or slow-parse) the float
  //
  double d;
  if (simdjson_likely(!overflow)) {
    if (compute_float_64(exponent, i, negative, d)) { return d; }
  }
  if (!parse_float_fallback(src - uint8_t(negative), &d)) {
    return NUMBER_ERROR;
  }
  return d;
}
 
// Parse a JSON number into a binary32 (float) value.
//
// This mirrors parse_double, but it rounds to binary32 directly instead of
// rounding to binary64 and then to binary32: the latter is subject to double
// rounding and would not always produce the nearest float.
simdjson_unused simdjson_inline simdjson_result<float> parse_float(const uint8_t * src) noexcept {
  //
  // Check for minus sign
  //
  bool negative = (*src == '-');
  src += uint8_t(negative);
 
  //
  // Parse the integer part.
  //
  uint64_t i = 0;
  const uint8_t *p = src;
  bool leading_zero;
  parse_float_integer_digits(p, i, leading_zero);
  // no integer digits, or 0123 (zero must be solo)
  if ( p == src ) {
 
#if SIMDJSON_ENABLE_NAN_INF
    // If there are no leading digits, the number may be nan or infinity.
    // Attempt to compute those, and return on success.
    float f;
    if (compute_nan_inf(p, negative, f)) { return f; }
#endif
 
    return INCORRECT_TYPE;
  }
  if ( (leading_zero && p != src+1)) { return NUMBER_ERROR; }
 
  //
  // Parse the decimal part.
  //
  int64_t exponent = 0;
  bool overflow;
  if (simdjson_likely(*p == '.')) {
    p++;
    const uint8_t *start_decimal_digits = p;
    parse_fraction_digits(p, i);
    if (p == start_decimal_digits) { return NUMBER_ERROR; } // no decimal digits
    exponent = -(p - start_decimal_digits);
 
    // Overflow check. More than 19 digits (minus the decimal) may be overflow.
    overflow = p-src-1 > 19;
    if (simdjson_unlikely(overflow && leading_zero)) {
      // Skip leading 0.00000 and see if it still overflows
      const uint8_t *start_digits = src + 2;
      while (*start_digits == '0') { start_digits++; }
      overflow = p-start_digits > 19;
    }
  } else {
    overflow = p-src > 19;
  }
 
  //
  // Parse the exponent
  //
  if (*p == 'e' || *p == 'E') {
    p++;
    bool exp_neg = *p == '-';
    p += exp_neg || *p == '+';
 
    uint64_t exp = 0;
    const uint8_t *start_exp_digits = p;
    while (parse_digit(*p, exp)) { p++; }
    // no exp digits, or 20+ exp digits
    if (p-start_exp_digits == 0 || p-start_exp_digits > 19) { return NUMBER_ERROR; }
 
    exponent += exp_neg ? 0-exp : exp;
  }
 
  if (jsoncharutils::is_not_structural_or_whitespace(*p)) { return NUMBER_ERROR; }
 
  overflow = overflow || exponent < simdjson::internal::smallest_power || exponent > simdjson::internal::largest_power;
 
  //
  // Assemble (or slow-parse) the float
  //
  float d;
  if (simdjson_likely(!overflow)) {
    if (compute_float_32(exponent, i, negative, d)) { return d; }
  }
  if (!parse_float_fallback(src - uint8_t(negative), &d)) {
    return NUMBER_ERROR;
  }
  return d;
}
 
simdjson_unused simdjson_inline bool is_negative(const uint8_t * src) noexcept {
  return (*src == '-');
}
 
simdjson_unused simdjson_inline simdjson_result<bool> is_integer(const uint8_t * src) noexcept {
  bool negative = (*src == '-');
  src += uint8_t(negative);
  const uint8_t *p = src;
  while(static_cast<uint8_t>(*p - '0') <= 9) { p++; }
  if ( p == src ) { return NUMBER_ERROR; }
  if (jsoncharutils::is_structural_or_whitespace(*p)) { return true; }
  return false;
}
 
simdjson_unused simdjson_inline simdjson_result<number_type> get_number_type(const uint8_t * src) noexcept {
  bool negative = (*src == '-');
  src += uint8_t(negative);
  const uint8_t *p = src;
  while(static_cast<uint8_t>(*p - '0') <= 9) { p++; }
  size_t digit_count = size_t(p - src);
  if ( p == src ) { return NUMBER_ERROR; }
  if (jsoncharutils::is_structural_or_whitespace(*p)) {
    static const uint8_t * smaller_big_integer = reinterpret_cast<const uint8_t *>("9223372036854775808");
    // We have an integer.
    if(simdjson_unlikely(digit_count > 20)) {
      return number_type::big_integer;
    }
    // If the number is negative and valid, it must be a signed integer.
    if(negative) {
      if (simdjson_unlikely(digit_count > 19)) return number_type::big_integer;
      if (simdjson_unlikely(digit_count == 19 && memcmp(src, smaller_big_integer, 19) > 0)) {
        return number_type::big_integer;
      }
#if SIMDJSON_MINUS_ZERO_AS_FLOAT
      if(digit_count == 1 && src[0] == '0') {
        // We have to write -0.0 instead of 0
        return number_type::floating_point_number;
      }
#endif
      return number_type::signed_integer;
    }
    // Let us check if we have a big integer (>=2**64).
    static const uint8_t * two_to_sixtyfour = reinterpret_cast<const uint8_t *>("18446744073709551616");
    if((digit_count > 20) || (digit_count == 20 && memcmp(src, two_to_sixtyfour, 20) >= 0)) {
      return number_type::big_integer;
    }
    // The number is positive and smaller than 18446744073709551616 (or 2**64).
    // We want values larger or equal to 9223372036854775808 to be unsigned
    // integers, and the other values to be signed integers.
    if((digit_count == 20) || (digit_count >= 19 && memcmp(src, smaller_big_integer, 19) >= 0)) {
      return number_type::unsigned_integer;
    }
    return number_type::signed_integer;
  }
  // Hopefully, we have 'e' or 'E' or '.'.
  return number_type::floating_point_number;
}
 
// Never read at src_end or beyond
simdjson_unused simdjson_inline simdjson_result<double> parse_double(const uint8_t * src, const uint8_t * const src_end) noexcept {
  if(src == src_end) { return NUMBER_ERROR; }
  //
  // Check for minus sign
  //
  bool negative = (*src == '-');
  src += uint8_t(negative);
 
  //
  // Parse the integer part.
  //
  uint64_t i = 0;
  const uint8_t *p = src;
  if(p == src_end) { return NUMBER_ERROR; }
  p += parse_digit(*p, i);
  bool leading_zero = (i == 0);
  while ((p != src_end) && parse_digit(*p, i)) { p++; }
  // no integer digits, or 0123 (zero must be solo)
  if ( p == src ) { return INCORRECT_TYPE; }
  if ( (leading_zero && p != src+1)) { return NUMBER_ERROR; }
 
  //
  // Parse the decimal part.
  //
  int64_t exponent = 0;
  bool overflow;
  if (simdjson_likely((p != src_end) && (*p == '.'))) {
    p++;
    const uint8_t *start_decimal_digits = p;
    if ((p == src_end) || !parse_digit(*p, i)) { return NUMBER_ERROR; } // no decimal digits
    p++;
    while ((p != src_end) && parse_digit(*p, i)) { p++; }
    exponent = -(p - start_decimal_digits);
 
    // Overflow check. More than 19 digits (minus the decimal) may be overflow.
    overflow = p-src-1 > 19;
    if (simdjson_unlikely(overflow && leading_zero)) {
      // Skip leading 0.00000 and see if it still overflows
      const uint8_t *start_digits = src + 2;
      while (*start_digits == '0') { start_digits++; }
      overflow = start_digits-src > 19;
    }
  } else {
    overflow = p-src > 19;
  }
 
  //
  // Parse the exponent
  //
  if ((p != src_end) && (*p == 'e' || *p == 'E')) {
    p++;
    if(p == src_end) { return NUMBER_ERROR; }
    bool exp_neg = *p == '-';
    p += exp_neg || *p == '+';
 
    uint64_t exp = 0;
    const uint8_t *start_exp_digits = p;
    while ((p != src_end) && parse_digit(*p, exp)) { p++; }
    // no exp digits, or 20+ exp digits
    if (p-start_exp_digits == 0 || p-start_exp_digits > 19) { return NUMBER_ERROR; }
 
    exponent += exp_neg ? 0-exp : exp;
  }
 
  if ((p != src_end) && jsoncharutils::is_not_structural_or_whitespace(*p)) { return NUMBER_ERROR; }
 
  overflow = overflow || exponent < simdjson::internal::smallest_power || exponent > simdjson::internal::largest_power;
 
  //
  // Assemble (or slow-parse) the float
  //
  double d;
  if (simdjson_likely(!overflow)) {
    if (compute_float_64(exponent, i, negative, d)) { return d; }
  }
  if (!parse_float_fallback(src - uint8_t(negative), src_end, &d)) {
    return NUMBER_ERROR;
  }
  return d;
}
 
simdjson_unused simdjson_inline simdjson_result<double> parse_double_in_string(const uint8_t * src) noexcept {
  //
  // Check for minus sign
  //
  bool negative = (*(src + 1) == '-');
  src += uint8_t(negative) + 1;
 
  //
  // Parse the integer part.
  //
  uint64_t i = 0;
  const uint8_t *p = src;
  bool leading_zero;
  parse_float_integer_digits(p, i, leading_zero);
  // no integer digits, or 0123 (zero must be solo)
  if ( p == src ) {
#if SIMDJSON_ENABLE_NAN_INF
    // If there are no leading digits, attempt to parse numbers that are either
    // NaN or Infinity
    if (atomparsing::is_valid_inf_in_string(src)) {
      double inf = std::numeric_limits<double>::infinity();
      return negative ? -inf : inf;
    }
 
    if (atomparsing::is_valid_nan_in_string(src)) {
      return std::numeric_limits<double>::quiet_NaN();
    }
#endif
 
    return INCORRECT_TYPE;
  }
  if ( (leading_zero && p != src+1)) { return NUMBER_ERROR; }
 
  //
  // Parse the decimal part.
  //
  int64_t exponent = 0;
  bool overflow;
  if (simdjson_likely(*p == '.')) {
    p++;
    const uint8_t *start_decimal_digits = p;
    parse_fraction_digits(p, i);
    if (p == start_decimal_digits) { return NUMBER_ERROR; } // no decimal digits
    exponent = -(p - start_decimal_digits);
 
    // Overflow check. More than 19 digits (minus the decimal) may be overflow.
    overflow = p-src-1 > 19;
    if (simdjson_unlikely(overflow && leading_zero)) {
      // Skip leading 0.00000 and see if it still overflows
      const uint8_t *start_digits = src + 2;
      while (*start_digits == '0') { start_digits++; }
      overflow = p-start_digits > 19;
    }
  } else {
    overflow = p-src > 19;
  }
 
  //
  // Parse the exponent
  //
  if (*p == 'e' || *p == 'E') {
    p++;
    bool exp_neg = *p == '-';
    p += exp_neg || *p == '+';
 
    uint64_t exp = 0;
    const uint8_t *start_exp_digits = p;
    while (parse_digit(*p, exp)) { p++; }
    // no exp digits, or 20+ exp digits
    if (p-start_exp_digits == 0 || p-start_exp_digits > 19) { return NUMBER_ERROR; }
 
    exponent += exp_neg ? 0-exp : exp;
  }
 
  if (*p != '"') { return NUMBER_ERROR; }
 
  overflow = overflow || exponent < simdjson::internal::smallest_power || exponent > simdjson::internal::largest_power;
 
  //
  // Assemble (or slow-parse) the float
  //
  double d;
  if (simdjson_likely(!overflow)) {
    if (compute_float_64(exponent, i, negative, d)) { return d; }
  }
  if (!parse_float_fallback(src - uint8_t(negative), &d)) {
    return NUMBER_ERROR;
  }
  return d;
}
 
// Parse a JSON number held inside a JSON string into a binary32 (float) value.
// See parse_float for why we do not simply round parse_double_in_string.
simdjson_unused simdjson_inline simdjson_result<float> parse_float_in_string(const uint8_t * src) noexcept {
  //
  // Check for minus sign
  //
  bool negative = (*(src + 1) == '-');
  src += uint8_t(negative) + 1;
 
  //
  // Parse the integer part.
  //
  uint64_t i = 0;
  const uint8_t *p = src;
  bool leading_zero;
  parse_float_integer_digits(p, i, leading_zero);
  // no integer digits, or 0123 (zero must be solo)
  if ( p == src ) {
#if SIMDJSON_ENABLE_NAN_INF
    // If there are no leading digits, attempt to parse numbers that are either
    // NaN or Infinity
    if (atomparsing::is_valid_inf_in_string(src)) {
      float inf = std::numeric_limits<float>::infinity();
      return negative ? -inf : inf;
    }
 
    if (atomparsing::is_valid_nan_in_string(src)) {
      return std::numeric_limits<float>::quiet_NaN();
    }
#endif
 
    return INCORRECT_TYPE;
  }
  if ( (leading_zero && p != src+1)) { return NUMBER_ERROR; }
 
  //
  // Parse the decimal part.
  //
  int64_t exponent = 0;
  bool overflow;
  if (simdjson_likely(*p == '.')) {
    p++;
    const uint8_t *start_decimal_digits = p;
    parse_fraction_digits(p, i);
    if (p == start_decimal_digits) { return NUMBER_ERROR; } // no decimal digits
    exponent = -(p - start_decimal_digits);
 
    // Overflow check. More than 19 digits (minus the decimal) may be overflow.
    overflow = p-src-1 > 19;
    if (simdjson_unlikely(overflow && leading_zero)) {
      // Skip leading 0.00000 and see if it still overflows
      const uint8_t *start_digits = src + 2;
      while (*start_digits == '0') { start_digits++; }
      overflow = p-start_digits > 19;
    }
  } else {
    overflow = p-src > 19;
  }
 
  //
  // Parse the exponent
  //
  if (*p == 'e' || *p == 'E') {
    p++;
    bool exp_neg = *p == '-';
    p += exp_neg || *p == '+';
 
    uint64_t exp = 0;
    const uint8_t *start_exp_digits = p;
    while (parse_digit(*p, exp)) { p++; }
    // no exp digits, or 20+ exp digits
    if (p-start_exp_digits == 0 || p-start_exp_digits > 19) { return NUMBER_ERROR; }
 
    exponent += exp_neg ? 0-exp : exp;
  }
 
  if (*p != '"') { return NUMBER_ERROR; }
 
  overflow = overflow || exponent < simdjson::internal::smallest_power || exponent > simdjson::internal::largest_power;
 
  //
  // Assemble (or slow-parse) the float
  //
  float d;
  if (simdjson_likely(!overflow)) {
    if (compute_float_32(exponent, i, negative, d)) { return d; }
  }
  if (!parse_float_fallback(src - uint8_t(negative), &d)) {
    return NUMBER_ERROR;
  }
  return d;
}
 
} // unnamed namespace
#endif // SIMDJSON_SKIPNUMBERPARSING
 
} // namespace numberparsing
 
inline std::ostream& operator<<(std::ostream& out, number_type type) noexcept {
    switch (type) {
        case number_type::signed_integer: out << "integer in [-9223372036854775808,9223372036854775808)"; break;
        case number_type::unsigned_integer: out << "unsigned integer in [9223372036854775808,18446744073709551616)"; break;
        case number_type::floating_point_number: out << "floating-point number (binary64)"; break;
        case number_type::big_integer: out << "big integer"; break;
        default: SIMDJSON_UNREACHABLE();
    }
    return out;
}
 
} // namespace SIMDJSON_IMPLEMENTATION
} // namespace simdjson
 
#endif // SIMDJSON_GENERIC_NUMBERPARSING_H