Repository: redis/redis

Issue:
[NEW] Performance: Improve string to floating-point conversion time using Eisel-Lemire algorithm on 99% of the cases, while ensuring correctness of 100% of cases
**The problem/use-case that the feature addresses**

Putting it simply all use cases that heavily rely on string to floating-point conversion, (e.g. meaning take a string like "1.5" and return a 64-bit double-precision floating-point number like 1.5 ), could benefit from a performance boost by swapping `strtod` by the equivalent [`fast_double_parser`](https://github.com/lemire/fast_double_parser), as measured by Daniel Lemire ( @lemire on GH ) on his blog https://lemire.me/blog/2020/03/10/fast-float-parsing-in-practice/ :


parser | MB/s
-- | --
fast_double_parser (new) | 660 MB/s
abseil, from_chars | 330 MB/s
double_conversion | 250 MB/s
strtod | 70 MB/s

The 99% cases performance improvement and correctness of 100%: Putting it simply, when we cannot use the  Eisel-Lemire algorithm we fall back to the equivalent strtod, meaning this change is 100% compatible.

**Real application use-case** 

We've applied the fast_double_parser to a Redis Module ( RedisTimeSeries ) by leveraging a C Wrapper for the C++ Eisel-Lemire ParseFloat algorithm, and noticed a bump in performance on our write workflows of ~=8% on the achievable ops/sec, as detailed here: https://github.com/RedisTimeSeries/RedisTimeSeries/pull/683. For the redis use-case I believe we should not use C++ at all and rely upon solely on a C header-only library ( as described bellow ). 

**Description of the feature**

Leverage a C Header only library ( based on the C++ one available here: https://github.com/lemire/fast_double_parser/blob/master/include/fast_double_parser.h ) 

**Additional information**

I would very much like to push this POC forward, meaning I volunteer to make available and test the C header-only lib and apply it to Redis and check the performance improvements  :) 



Discussion:
The approach in question has now been adopted in Go  (standard library), Rust (standard library) and LLVM  (standard library). There is also a new C++ library at https://github.com/fastfloat/fast_float which is more generic.
The fast float library is now part of WebKit (Safari).
@lemire I'll prepare a quick POC and check the impact on Redis :) 
@lemire would it be possible for you to review if #11884 is the best way of including fast_float on redis with the minimum possible changes to the redis codebase? 
I'm literally just using your amalgamate script and wrapping it via:
```c
/* Convert NPTR to a double using the fast_float library.
 * If ENDPTR is not NULL, a pointer to the character after the last one used
 * in the number is put in *ENDPTR.  */
extern "C" double fast_float_strtod(const char *nptr, char **endptr) {
  double result;
  auto answer = fast_float::from_chars(nptr, nptr + strlen(nptr), result);
  if (endptr != NULL) {
    *endptr = (char *)answer.ptr;
  }
  return result;
}
```

PS: also check https://github.com/fastfloat/fast_float/pull/183 
@filipecosta90 As I wrote in the PR, your code is fine except that it is not ideal for error handling... we follow the `from_chars` approach from C++17 which goes as follows...

```C++
  const std::string input =   "234532.3426362,7869234.9823,324562.645";
  double result;
  auto answer = fast_float::from_chars(input.data(), input.data()+input.size(), result);
  if(answer.ec != std::errc()) {
    // check error
  }
  // we have result == 234532.3426362.
  if(answer.ptr[0] != ',') {
    // unexpected delimiter
  }
  answer = fast_float::from_chars(answer.ptr + 1, input.data()+input.size(), result);
  if(answer.ec != std::errc()) {
    // check error
  }
  // we have result == 7869234.9823.
  // answer.ptr will point at the first ','

```
The latest version of the library can also parse integers (including hex.). It is part of GCC as of GCC 12. We also added SIMD optimizations for better speed (with support for ARM and x64).

https://github.com/fastfloat/fast_float/releases/tag/v6.0.0

Patch:
diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 76217057cb4..2143eeb0838 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -62,7 +62,7 @@ jobs:
     - uses: actions/checkout@v4
     - name: make
       run: |
-        sudo apt-get update && sudo apt-get install libc6-dev-i386
+        sudo apt-get update && sudo apt-get install libc6-dev-i386 gcc-multilib g++-multilib
         make REDIS_CFLAGS='-Werror' 32bit
 
   build-libc-malloc:
@@ -79,7 +79,7 @@ jobs:
     - uses: actions/checkout@v4
     - name: make
       run: |
-        dnf -y install which gcc make
+        dnf -y install which gcc gcc-c++ make
         make REDIS_CFLAGS='-Werror'
 
   build-old-chain-jemalloc:
@@ -96,6 +96,7 @@ jobs:
         apt-key adv --keyserver keyserver.ubuntu.com --recv-keys 40976EAF437D05B5
         apt-key adv --keyserver keyserver.ubuntu.com --recv-keys 3B4FE6ACC0B21F32
         apt-get update
-        apt-get install -y make gcc-4.8
+        apt-get install -y make gcc-4.8 g++-4.8
         update-alternatives --install /usr/bin/gcc gcc /usr/bin/gcc-4.8 100
+        update-alternatives --install /usr/bin/g++ g++ /usr/bin/g++-4.8 100
         make CC=gcc REDIS_CFLAGS='-Werror'
diff --git a/.github/workflows/daily.yml b/.github/workflows/daily.yml
index 57bc4ecfd6a..f1484b10299 100644
--- a/.github/workflows/daily.yml
+++ b/.github/workflows/daily.yml
@@ -94,8 +94,9 @@ jobs:
         ref: ${{ env.GITHUB_HEAD_REF }}
     - name: make
       run: |
-        apt-get update && apt-get install -y make gcc-13
+        apt-get update && apt-get install -y make gcc-13 g++-13
         update-alternatives --install /usr/bin/gcc gcc /usr/bin/gcc-13 100
+        update-alternatives --install /usr/bin/g++ g++ /usr/bin/g++-13 100
         make CC=gcc REDIS_CFLAGS='-Werror -DREDIS_TEST -U_FORTIFY_SOURCE -D_FORTIFY_SOURCE=3'
     - name: testprep
       run: apt-get install -y tcl8.6 tclx procps
@@ -211,7 +212,7 @@ jobs:
         ref: ${{ env.GITHUB_HEAD_REF }}
     - name: make
       run: |
-        sudo apt-get update && sudo apt-get install libc6-dev-i386
+        sudo apt-get update && sudo apt-get install libc6-dev-i386 g++ gcc-multilib g++-multilib
         make 32bit REDIS_CFLAGS='-Werror -DREDIS_TEST'
     - name: testprep
       run: sudo apt-get install tcl8.6 tclx
@@ -456,7 +457,7 @@ jobs:
     - name: testprep
       run: |
         sudo apt-get update
-        sudo apt-get install tcl8.6 tclx valgrind -y
+        sudo apt-get install tcl8.6 tclx valgrind g++ -y
     - name: test
       if: true && !contains(github.event.inputs.skiptests, 'redis')
       run: ./runtest --valgrind --no-latency --verbose --clients 1 --timeout 2400 --dump-logs ${{github.event.inputs.test_args}}
@@ -521,7 +522,7 @@ jobs:
     - name: testprep
       run: |
         sudo apt-get update
-        sudo apt-get install tcl8.6 tclx valgrind -y
+        sudo apt-get install tcl8.6 tclx valgrind g++ -y
     - name: test
       if: true && !contains(github.event.inputs.skiptests, 'redis')
       run: ./runtest --valgrind --no-latency --verbose --clients 1 --timeout 2400 --dump-logs ${{github.event.inputs.test_args}}
@@ -678,7 +679,7 @@ jobs:
         ref: ${{ env.GITHUB_HEAD_REF }}
     - name: make
       run: |
-        dnf -y install which gcc make
+        dnf -y install which gcc make g++
         make REDIS_CFLAGS='-Werror'
     - name: testprep
       run: |
@@ -720,7 +721,7 @@ jobs:
         ref: ${{ env.GITHUB_HEAD_REF }}
     - name: make
       run: |
-        dnf -y install which gcc make openssl-devel openssl
+        dnf -y install which gcc make openssl-devel openssl g++
         make BUILD_TLS=module REDIS_CFLAGS='-Werror'
     - name: testprep
       run: |
@@ -767,7 +768,7 @@ jobs:
         ref: ${{ env.GITHUB_HEAD_REF }}
     - name: make
       run: |
-        dnf -y install which gcc make openssl-devel openssl
+        dnf -y install which gcc make openssl-devel openssl g++
         make BUILD_TLS=module REDIS_CFLAGS='-Werror'
     - name: testprep
       run: |
@@ -907,6 +908,9 @@ jobs:
       (github.event_name == 'workflow_dispatch' || (github.event_name != 'workflow_dispatch' && github.repository == 'redis/redis')) &&
       !contains(github.event.inputs.skipjobs, 'freebsd')
     timeout-minutes: 14400
+    env:
+      CC: clang
+      CXX: clang++
     steps:
     - name: prep
       if: github.event_name == 'workflow_dispatch'
@@ -925,7 +929,7 @@ jobs:
         version: 13.2
         shell: bash
         run: |
-          sudo pkg install -y bash gmake lang/tcl86 lang/tclx
+          sudo pkg install -y bash gmake lang/tcl86 lang/tclx gcc
           gmake
           ./runtest --single unit/keyspace --single unit/auth --single unit/networking --single unit/protocol
 
@@ -1080,8 +1084,9 @@ jobs:
         apt-key adv --keyserver keyserver.ubuntu.com --recv-keys 40976EAF437D05B5
         apt-key adv --keyserver keyserver.ubuntu.com --recv-keys 3B4FE6ACC0B21F32
         apt-get update
-        apt-get install -y make gcc-4.8
+        apt-get install -y make gcc-4.8 g++-4.8
         update-alternatives --install /usr/bin/gcc gcc /usr/bin/gcc-4.8 100
+        update-alternatives --install /usr/bin/g++ g++ /usr/bin/g++-4.8 100
         make CC=gcc REDIS_CFLAGS='-Werror'
     - name: testprep
       run: apt-get install -y tcl tcltls tclx
@@ -1128,9 +1133,10 @@ jobs:
         apt-key adv --keyserver keyserver.ubuntu.com --recv-keys 40976EAF437D05B5
         apt-key adv --keyserver keyserver.ubuntu.com --recv-keys 3B4FE6ACC0B21F32
         apt-get update
-        apt-get install -y make gcc-4.8 openssl libssl-dev
+        apt-get install -y make gcc-4.8 g++-4.8 openssl libssl-dev
         update-alternatives --install /usr/bin/gcc gcc /usr/bin/gcc-4.8 100
-        make CC=gcc BUILD_TLS=module REDIS_CFLAGS='-Werror'
+        update-alternatives --install /usr/bin/g++ g++ /usr/bin/g++-4.8 100
+        make CC=gcc CXX=g++ BUILD_TLS=module REDIS_CFLAGS='-Werror'
     - name: testprep
       run: |
         apt-get install -y tcl tcltls tclx
@@ -1182,8 +1188,9 @@ jobs:
         apt-key adv --keyserver keyserver.ubuntu.com --recv-keys 40976EAF437D05B5
         apt-key adv --keyserver keyserver.ubuntu.com --recv-keys 3B4FE6ACC0B21F32
         apt-get update
-        apt-get install -y make gcc-4.8 openssl libssl-dev
+        apt-get install -y make gcc-4.8 g++-4.8 openssl libssl-dev
         update-alternatives --install /usr/bin/gcc gcc /usr/bin/gcc-4.8 100
+        update-alternatives --install /usr/bin/g++ g++ /usr/bin/g++-4.8 100
         make BUILD_TLS=module CC=gcc REDIS_CFLAGS='-Werror'
     - name: testprep
       run: |
diff --git a/.gitignore b/.gitignore
index 5ed94f1daea..507aad8e078 100644
--- a/.gitignore
+++ b/.gitignore
@@ -30,6 +30,7 @@ deps/lua/src/luac
 deps/lua/src/liblua.a
 deps/hdr_histogram/libhdrhistogram.a
 deps/fpconv/libfpconv.a
+deps/fast_float/libfast_float.a
 tests/tls/*
 .make-*
 .prerequisites
diff --git a/deps/Makefile b/deps/Makefile
index 3bf0363d5c2..5593e0cf78b 100644
--- a/deps/Makefile
+++ b/deps/Makefile
@@ -42,6 +42,7 @@ distclean:
 	-(cd jemalloc && [ -f Makefile ] && $(MAKE) distclean) > /dev/null || true
 	-(cd hdr_histogram && $(MAKE) clean) > /dev/null || true
 	-(cd fpconv && $(MAKE) clean) > /dev/null || true
+	-(cd fast_float && $(MAKE) clean) > /dev/null || true
 	-(rm -f .make-*)
 
 .PHONY: distclean
@@ -74,6 +75,12 @@ fpconv: .make-prerequisites
 
 .PHONY: fpconv
 
+fast_float: .make-prerequisites
+	@printf '%b %b\n' $(MAKECOLOR)MAKE$(ENDCOLOR) $(BINCOLOR)$@$(ENDCOLOR)
+	cd fast_float && $(MAKE) libfast_float
+
+.PHONY: fast_float
+
 ifeq ($(uname_S),SunOS)
 	# Make isinf() available
 	LUA_CFLAGS= -D__C99FEATURES__=1
diff --git a/deps/fast_float/Makefile b/deps/fast_float/Makefile
new file mode 100644
index 00000000000..d3e5d30c314
--- /dev/null
+++ b/deps/fast_float/Makefile
@@ -0,0 +1,24 @@
+# Fallback to gcc/g++ when $CC or $CXX is not in $PATH.
+CC ?= gcc
+CXX ?= g++
+
+CFLAGS=-Wall -O3
+# This avoids loosing the fastfloat specific compile flags when we override the CFLAGS via the main project
+FASTFLOAT_CFLAGS=-std=c++11 -DFASTFLOAT_ALLOWS_LEADING_PLUS
+LDFLAGS=
+
+libfast_float: fast_float_strtod.o
+	$(AR) -r libfast_float.a fast_float_strtod.o
+
+32bit: CFLAGS += -m32
+32bit: LDFLAGS += -m32
+32bit: libfast_float
+
+fast_float_strtod.o: fast_float_strtod.cpp
+	$(CXX) $(CFLAGS) $(FASTFLOAT_CFLAGS) -c fast_float_strtod.cpp $(LDFLAGS)
+
+clean:
+	rm -f *.o
+	rm -f *.a
+	rm -f *.h.gch
+	rm -rf *.dSYM
diff --git a/deps/fast_float/README.md b/deps/fast_float/README.md
new file mode 100644
index 00000000000..90462d3bf50
--- /dev/null
+++ b/deps/fast_float/README.md
@@ -0,0 +1,21 @@
+README for fast_float v6.1.4
+
+----------------------------------------------
+
+We're using the fast_float library[1] in our (compiled-in)
+floating-point fast_float_strtod implementation for faster and more
+portable parsing of 64 decimal strings.
+
+The single file fast_float.h is an amalgamation of the entire library,
+which can be (re)generated with the amalgamate.py script (from the
+fast_float repository) via the command
+
+```
+git clone https://github.com/fastfloat/fast_float
+cd fast_float
+git checkout v6.1.4
+python3 ./script/amalgamate.py --license=MIT \
+  > $REDIS_SRC/deps/fast_float/fast_float.h
+```
+
+[1]: https://github.com/fastfloat/fast_float
diff --git a/deps/fast_float/fast_float.h b/deps/fast_float/fast_float.h
new file mode 100644
index 00000000000..81d9da50fb4
--- /dev/null
+++ b/deps/fast_float/fast_float.h
@@ -0,0 +1,3838 @@
+// fast_float by Daniel Lemire
+// fast_float by João Paulo Magalhaes
+//
+//
+// with contributions from Eugene Golushkov
+// with contributions from Maksim Kita
+// with contributions from Marcin Wojdyr
+// with contributions from Neal Richardson
+// with contributions from Tim Paine
+// with contributions from Fabio Pellacini
+// with contributions from Lénárd Szolnoki
+// with contributions from Jan Pharago
+// with contributions from Maya Warrier
+// with contributions from Taha Khokhar
+//
+//
+// MIT License Notice
+//
+//    MIT License
+//    
+//    Copyright (c) 2021 The fast_float authors
+//    
+//    Permission is hereby granted, free of charge, to any
+//    person obtaining a copy of this software and associated
+//    documentation files (the "Software"), to deal in the
+//    Software without restriction, including without
+//    limitation the rights to use, copy, modify, merge,
+//    publish, distribute, sublicense, and/or sell copies of
+//    the Software, and to permit persons to whom the Software
+//    is furnished to do so, subject to the following
+//    conditions:
+//    
+//    The above copyright notice and this permission notice
+//    shall be included in all copies or substantial portions
+//    of the Software.
+//    
+//    THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF
+//    ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED
+//    TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A
+//    PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT
+//    SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
+//    CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
+//    OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR
+//    IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
+//    DEALINGS IN THE SOFTWARE.
+//
+
+#ifndef FASTFLOAT_CONSTEXPR_FEATURE_DETECT_H
+#define FASTFLOAT_CONSTEXPR_FEATURE_DETECT_H
+
+#ifdef __has_include
+#if __has_include(<version>)
+#include <version>
+#endif
+#endif
+
+// Testing for https://wg21.link/N3652, adopted in C++14
+#if __cpp_constexpr >= 201304
+#define FASTFLOAT_CONSTEXPR14 constexpr
+#else
+#define FASTFLOAT_CONSTEXPR14
+#endif
+
+#if defined(__cpp_lib_bit_cast) && __cpp_lib_bit_cast >= 201806L
+#define FASTFLOAT_HAS_BIT_CAST 1
+#else
+#define FASTFLOAT_HAS_BIT_CAST 0
+#endif
+
+#if defined(__cpp_lib_is_constant_evaluated) &&                                \
+    __cpp_lib_is_constant_evaluated >= 201811L
+#define FASTFLOAT_HAS_IS_CONSTANT_EVALUATED 1
+#else
+#define FASTFLOAT_HAS_IS_CONSTANT_EVALUATED 0
+#endif
+
+// Testing for relevant C++20 constexpr library features
+#if FASTFLOAT_HAS_IS_CONSTANT_EVALUATED && FASTFLOAT_HAS_BIT_CAST &&           \
+    __cpp_lib_constexpr_algorithms >= 201806L /*For std::copy and std::fill*/
+#define FASTFLOAT_CONSTEXPR20 constexpr
+#define FASTFLOAT_IS_CONSTEXPR 1
+#else
+#define FASTFLOAT_CONSTEXPR20
+#define FASTFLOAT_IS_CONSTEXPR 0
+#endif
+
+#endif // FASTFLOAT_CONSTEXPR_FEATURE_DETECT_H
+
+#ifndef FASTFLOAT_FLOAT_COMMON_H
+#define FASTFLOAT_FLOAT_COMMON_H
+
+#include <cfloat>
+#include <cstdint>
+#include <cassert>
+#include <cstring>
+#include <type_traits>
+#include <system_error>
+#ifdef __has_include
+#if __has_include(<stdfloat>) && (__cplusplus > 202002L || _MSVC_LANG > 202002L)
+#include <stdfloat>
+#endif
+#endif
+
+namespace fast_float {
+
+#define FASTFLOAT_JSONFMT (1 << 5)
+#define FASTFLOAT_FORTRANFMT (1 << 6)
+
+enum chars_format {
+  scientific = 1 << 0,
+  fixed = 1 << 2,
+  hex = 1 << 3,
+  no_infnan = 1 << 4,
+  // RFC 8259: https://datatracker.ietf.org/doc/html/rfc8259#section-6
+  json = FASTFLOAT_JSONFMT | fixed | scientific | no_infnan,
+  // Extension of RFC 8259 where, e.g., "inf" and "nan" are allowed.
+  json_or_infnan = FASTFLOAT_JSONFMT | fixed | scientific,
+  fortran = FASTFLOAT_FORTRANFMT | fixed | scientific,
+  general = fixed | scientific
+};
+
+template <typename UC> struct from_chars_result_t {
+  UC const *ptr;
+  std::errc ec;
+};
+using from_chars_result = from_chars_result_t<char>;
+
+template <typename UC> struct parse_options_t {
+  constexpr explicit parse_options_t(chars_format fmt = chars_format::general,
+                                     UC dot = UC('.'))
+      : format(fmt), decimal_point(dot) {}
+
+  /** Which number formats are accepted */
+  chars_format format;
+  /** The character used as decimal point */
+  UC decimal_point;
+};
+using parse_options = parse_options_t<char>;
+
+} // namespace fast_float
+
+#if FASTFLOAT_HAS_BIT_CAST
+#include <bit>
+#endif
+
+#if (defined(__x86_64) || defined(__x86_64__) || defined(_M_X64) ||            \
+     defined(__amd64) || defined(__aarch64__) || defined(_M_ARM64) ||          \
+     defined(__MINGW64__) || defined(__s390x__) ||                             \
+     (defined(__ppc64__) || defined(__PPC64__) || defined(__ppc64le__) ||      \
+      defined(__PPC64LE__)) ||                                                 \
+     defined(__loongarch64))
+#define FASTFLOAT_64BIT 1
+#elif (defined(__i386) || defined(__i386__) || defined(_M_IX86) ||             \
+       defined(__arm__) || defined(_M_ARM) || defined(__ppc__) ||              \
+       defined(__MINGW32__) || defined(__EMSCRIPTEN__))
+#define FASTFLOAT_32BIT 1
+#else
+  // Need to check incrementally, since SIZE_MAX is a size_t, avoid overflow.
+// We can never tell the register width, but the SIZE_MAX is a good
+// approximation. UINTPTR_MAX and INTPTR_MAX are optional, so avoid them for max
+// portability.
+#if SIZE_MAX == 0xffff
+#error Unknown platform (16-bit, unsupported)
+#elif SIZE_MAX == 0xffffffff
+#define FASTFLOAT_32BIT 1
+#elif SIZE_MAX == 0xffffffffffffffff
+#define FASTFLOAT_64BIT 1
+#else
+#error Unknown platform (not 32-bit, not 64-bit?)
+#endif
+#endif
+
+#if ((defined(_WIN32) || defined(_WIN64)) && !defined(__clang__)) ||           \
+    (defined(_M_ARM64) && !defined(__MINGW32__))
+#include <intrin.h>
+#endif
+
+#if defined(_MSC_VER) && !defined(__clang__)
+#define FASTFLOAT_VISUAL_STUDIO 1
+#endif
+
+#if defined __BYTE_ORDER__ && defined __ORDER_BIG_ENDIAN__
+#define FASTFLOAT_IS_BIG_ENDIAN (__BYTE_ORDER__ == __ORDER_BIG_ENDIAN__)
+#elif defined _WIN32
+#define FASTFLOAT_IS_BIG_ENDIAN 0
+#else
+#if defined(__APPLE__) || defined(__FreeBSD__)
+#include <machine/endian.h>
+#elif defined(sun) || defined(__sun)
+#include <sys/byteorder.h>
+#elif defined(__MVS__)
+#include <sys/endian.h>
+#else
+#ifdef __has_include
+#if __has_include(<endian.h>)
+#include <endian.h>
+#endif //__has_include(<endian.h>)
+#endif //__has_include
+#endif
+#
+#ifndef __BYTE_ORDER__
+// safe choice
+#define FASTFLOAT_IS_BIG_ENDIAN 0
+#endif
+#
+#ifndef __ORDER_LITTLE_ENDIAN__
+// safe choice
+#define FASTFLOAT_IS_BIG_ENDIAN 0
+#endif
+#
+#if __BYTE_ORDER__ == __ORDER_LITTLE_ENDIAN__
+#define FASTFLOAT_IS_BIG_ENDIAN 0
+#else
+#define FASTFLOAT_IS_BIG_ENDIAN 1
+#endif
+#endif
+
+#if defined(__SSE2__) || (defined(FASTFLOAT_VISUAL_STUDIO) &&                  \
+                          (defined(_M_AMD64) || defined(_M_X64) ||             \
+                           (defined(_M_IX86_FP) && _M_IX86_FP == 2)))
+#define FASTFLOAT_SSE2 1
+#endif
+
+#if defined(__aarch64__) || defined(_M_ARM64)
+#define FASTFLOAT_NEON 1
+#endif
+
+#if defined(FASTFLOAT_SSE2) || defined(FASTFLOAT_NEON)
+#define FASTFLOAT_HAS_SIMD 1
+#endif
+
+#if defined(__GNUC__)
+// disable -Wcast-align=strict (GCC only)
+#define FASTFLOAT_SIMD_DISABLE_WARNINGS                                        \
+  _Pragma("GCC diagnostic push")                                               \
+      _Pragma("GCC diagnostic ignored \"-Wcast-align\"")
+#else
+#define FASTFLOAT_SIMD_DISABLE_WARNINGS
+#endif
+
+#if defined(__GNUC__)
+#define FASTFLOAT_SIMD_RESTORE_WARNINGS _Pragma("GCC diagnostic pop")
+#else
+#define FASTFLOAT_SIMD_RESTORE_WARNINGS
+#endif
+
+#ifdef FASTFLOAT_VISUAL_STUDIO
+#define fastfloat_really_inline __forceinline
+#else
+#define fastfloat_really_inline inline __attribute__((always_inline))
+#endif
+
+#ifndef FASTFLOAT_ASSERT
+#define FASTFLOAT_ASSERT(x)                                                    \
+  { ((void)(x)); }
+#endif
+
+#ifndef FASTFLOAT_DEBUG_ASSERT
+#define FASTFLOAT_DEBUG_ASSERT(x)                                              \
+  { ((void)(x)); }
+#endif
+
+// rust style `try!()` macro, or `?` operator
+#define FASTFLOAT_TRY(x)                                                       \
+  {                                                                            \
+    if (!(x))                                                                  \
+      return false;                                                            \
+  }
+
+#define FASTFLOAT_ENABLE_IF(...)                                               \
+  typename std::enable_if<(__VA_ARGS__), int>::type
+
+namespace fast_float {
+
+fastfloat_really_inline constexpr bool cpp20_and_in_constexpr() {
+#if FASTFLOAT_HAS_IS_CONSTANT_EVALUATED
+  return std::is_constant_evaluated();
+#else
+  return false;
+#endif
+}
+
+template <typename T>
+fastfloat_really_inline constexpr bool is_supported_float_type() {
+  return std::is_same<T, float>::value || std::is_same<T, double>::value
+#if __STDCPP_FLOAT32_T__
+         || std::is_same<T, std::float32_t>::value
+#endif
+#if __STDCPP_FLOAT64_T__
+         || std::is_same<T, std::float64_t>::value
+#endif
+      ;
+}
+
+template <typename UC>
+fastfloat_really_inline constexpr bool is_supported_char_type() {
+  return std::is_same<UC, char>::value || std::is_same<UC, wchar_t>::value ||
+         std::is_same<UC, char16_t>::value || std::is_same<UC, char32_t>::value;
+}
+
+// Compares two ASCII strings in a case insensitive manner.
+template <typename UC>
+inline FASTFLOAT_CONSTEXPR14 bool
+fastfloat_strncasecmp(UC const *input1, UC const *input2, size_t length) {
+  char running_diff{0};
+  for (size_t i = 0; i < length; ++i) {
+    running_diff |= (char(input1[i]) ^ char(input2[i]));
+  }
+  return (running_diff == 0) || (running_diff == 32);
+}
+
+#ifndef FLT_EVAL_METHOD
+#error "FLT_EVAL_METHOD should be defined, please include cfloat."
+#endif
+
+// a pointer and a length to a contiguous block of memory
+template <typename T> struct span {
+  const T *ptr;
+  size_t length;
+  constexpr span(const T *_ptr, size_t _length) : ptr(_ptr), length(_length) {}
+  constexpr span() : ptr(nullptr), length(0) {}
+
+  constexpr size_t len() const noexcept { return length; }
+
+  FASTFLOAT_CONSTEXPR14 const T &operator[](size_t index) const noexcept {
+    FASTFLOAT_DEBUG_ASSERT(index < length);
+    return ptr[index];
+  }
+};
+
+struct value128 {
+  uint64_t low;
+  uint64_t high;
+  constexpr value128(uint64_t _low, uint64_t _high) : low(_low), high(_high) {}
+  constexpr value128() : low(0), high(0) {}
+};
+
+/* Helper C++14 constexpr generic implementation of leading_zeroes */
+fastfloat_really_inline FASTFLOAT_CONSTEXPR14 int
+leading_zeroes_generic(uint64_t input_num, int last_bit = 0) {
+  if (input_num & uint64_t(0xffffffff00000000)) {
+    input_num >>= 32;
+    last_bit |= 32;
+  }
+  if (input_num & uint64_t(0xffff0000)) {
+    input_num >>= 16;
+    last_bit |= 16;
+  }
+  if (input_num & uint64_t(0xff00)) {
+    input_num >>= 8;
+    last_bit |= 8;
+  }
+  if (input_num & uint64_t(0xf0)) {
+    input_num >>= 4;
+    last_bit |= 4;
+  }
+  if (input_num & uint64_t(0xc)) {
+    input_num >>= 2;
+    last_bit |= 2;
+  }
+  if (input_num & uint64_t(0x2)) { /* input_num >>=  1; */
+    last_bit |= 1;
+  }
+  return 63 - last_bit;
+}
+
+/* result might be undefined when input_num is zero */
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 int
+leading_zeroes(uint64_t input_num) {
+  assert(input_num > 0);
+  if (cpp20_and_in_constexpr()) {
+    return leading_zeroes_generic(input_num);
+  }
+#ifdef FASTFLOAT_VISUAL_STUDIO
+#if defined(_M_X64) || defined(_M_ARM64)
+  unsigned long leading_zero = 0;
+  // Search the mask data from most significant bit (MSB)
+  // to least significant bit (LSB) for a set bit (1).
+  _BitScanReverse64(&leading_zero, input_num);
+  return (int)(63 - leading_zero);
+#else
+  return leading_zeroes_generic(input_num);
+#endif
+#else
+  return __builtin_clzll(input_num);
+#endif
+}
+
+// slow emulation routine for 32-bit
+fastfloat_really_inline constexpr uint64_t emulu(uint32_t x, uint32_t y) {
+  return x * (uint64_t)y;
+}
+
+fastfloat_really_inline FASTFLOAT_CONSTEXPR14 uint64_t
+umul128_generic(uint64_t ab, uint64_t cd, uint64_t *hi) {
+  uint64_t ad = emulu((uint32_t)(ab >> 32), (uint32_t)cd);
+  uint64_t bd = emulu((uint32_t)ab, (uint32_t)cd);
+  uint64_t adbc = ad + emulu((uint32_t)ab, (uint32_t)(cd >> 32));
+  uint64_t adbc_carry = (uint64_t)(adbc < ad);
+  uint64_t lo = bd + (adbc << 32);
+  *hi = emulu((uint32_t)(ab >> 32), (uint32_t)(cd >> 32)) + (adbc >> 32) +
+        (adbc_carry << 32) + (uint64_t)(lo < bd);
+  return lo;
+}
+
+#ifdef FASTFLOAT_32BIT
+
+// slow emulation routine for 32-bit
+#if !defined(__MINGW64__)
+fastfloat_really_inline FASTFLOAT_CONSTEXPR14 uint64_t _umul128(uint64_t ab,
+                                                                uint64_t cd,
+                                                                uint64_t *hi) {
+  return umul128_generic(ab, cd, hi);
+}
+#endif // !__MINGW64__
+
+#endif // FASTFLOAT_32BIT
+
+// compute 64-bit a*b
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 value128
+full_multiplication(uint64_t a, uint64_t b) {
+  if (cpp20_and_in_constexpr()) {
+    value128 answer;
+    answer.low = umul128_generic(a, b, &answer.high);
+    return answer;
+  }
+  value128 answer;
+#if defined(_M_ARM64) && !defined(__MINGW32__)
+  // ARM64 has native support for 64-bit multiplications, no need to emulate
+  // But MinGW on ARM64 doesn't have native support for 64-bit multiplications
+  answer.high = __umulh(a, b);
+  answer.low = a * b;
+#elif defined(FASTFLOAT_32BIT) || (defined(_WIN64) && !defined(__clang__))
+  answer.low = _umul128(a, b, &answer.high); // _umul128 not available on ARM64
+#elif defined(FASTFLOAT_64BIT) && defined(__SIZEOF_INT128__)
+  __uint128_t r = ((__uint128_t)a) * b;
+  answer.low = uint64_t(r);
+  answer.high = uint64_t(r >> 64);
+#else
+  answer.low = umul128_generic(a, b, &answer.high);
+#endif
+  return answer;
+}
+
+struct adjusted_mantissa {
+  uint64_t mantissa{0};
+  int32_t power2{0}; // a negative value indicates an invalid result
+  adjusted_mantissa() = default;
+  constexpr bool operator==(const adjusted_mantissa &o) const {
+    return mantissa == o.mantissa && power2 == o.power2;
+  }
+  constexpr bool operator!=(const adjusted_mantissa &o) const {
+    return mantissa != o.mantissa || power2 != o.power2;
+  }
+};
+
+// Bias so we can get the real exponent with an invalid adjusted_mantissa.
+constexpr static int32_t invalid_am_bias = -0x8000;
+
+// used for binary_format_lookup_tables<T>::max_mantissa
+constexpr uint64_t constant_55555 = 5 * 5 * 5 * 5 * 5;
+
+template <typename T, typename U = void> struct binary_format_lookup_tables;
+
+template <typename T> struct binary_format : binary_format_lookup_tables<T> {
+  using equiv_uint =
+      typename std::conditional<sizeof(T) == 4, uint32_t, uint64_t>::type;
+
+  static inline constexpr int mantissa_explicit_bits();
+  static inline constexpr int minimum_exponent();
+  static inline constexpr int infinite_power();
+  static inline constexpr int sign_index();
+  static inline constexpr int
+  min_exponent_fast_path(); // used when fegetround() == FE_TONEAREST
+  static inline constexpr int max_exponent_fast_path();
+  static inline constexpr int max_exponent_round_to_even();
+  static inline constexpr int min_exponent_round_to_even();
+  static inline constexpr uint64_t max_mantissa_fast_path(int64_t power);
+  static inline constexpr uint64_t
+  max_mantissa_fast_path(); // used when fegetround() == FE_TONEAREST
+  static inline constexpr int largest_power_of_ten();
+  static inline constexpr int smallest_power_of_ten();
+  static inline constexpr T exact_power_of_ten(int64_t power);
+  static inline constexpr size_t max_digits();
+  static inline constexpr equiv_uint exponent_mask();
+  static inline constexpr equiv_uint mantissa_mask();
+  static inline constexpr equiv_uint hidden_bit_mask();
+};
+
+template <typename U> struct binary_format_lookup_tables<double, U> {
+  static constexpr double powers_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};
+
+  // Largest integer value v so that (5**index * v) <= 1<<53.
+  // 0x20000000000000 == 1 << 53
+  static constexpr uint64_t max_mantissa[] = {
+      0x20000000000000,
+      0x20000000000000 / 5,
+      0x20000000000000 / (5 * 5),
+      0x20000000000000 / (5 * 5 * 5),
+      0x20000000000000 / (5 * 5 * 5 * 5),
+      0x20000000000000 / (constant_55555),
+      0x20000000000000 / (constant_55555 * 5),
+      0x20000000000000 / (constant_55555 * 5 * 5),
+      0x20000000000000 / (constant_55555 * 5 * 5 * 5),
+      0x20000000000000 / (constant_55555 * 5 * 5 * 5 * 5),
+      0x20000000000000 / (constant_55555 * constant_55555),
+      0x20000000000000 / (constant_55555 * constant_55555 * 5),
+      0x20000000000000 / (constant_55555 * constant_55555 * 5 * 5),
+      0x20000000000000 / (constant_55555 * constant_55555 * 5 * 5 * 5),
+      0x20000000000000 / (constant_55555 * constant_55555 * constant_55555),
+      0x20000000000000 / (constant_55555 * constant_55555 * constant_55555 * 5),
+      0x20000000000000 /
+          (constant_55555 * constant_55555 * constant_55555 * 5 * 5),
+      0x20000000000000 /
+          (constant_55555 * constant_55555 * constant_55555 * 5 * 5 * 5),
+      0x20000000000000 /
+          (constant_55555 * constant_55555 * constant_55555 * 5 * 5 * 5 * 5),
+      0x20000000000000 /
+          (constant_55555 * constant_55555 * constant_55555 * constant_55555),
+      0x20000000000000 / (constant_55555 * constant_55555 * constant_55555 *
+                          constant_55555 * 5),
+      0x20000000000000 / (constant_55555 * constant_55555 * constant_55555 *
+                          constant_55555 * 5 * 5),
+      0x20000000000000 / (constant_55555 * constant_55555 * constant_55555 *
+                          constant_55555 * 5 * 5 * 5),
+      0x20000000000000 / (constant_55555 * constant_55555 * constant_55555 *
+                          constant_55555 * 5 * 5 * 5 * 5)};
+};
+
+template <typename U>
+constexpr double binary_format_lookup_tables<double, U>::powers_of_ten[];
+
+template <typename U>
+constexpr uint64_t binary_format_lookup_tables<double, U>::max_mantissa[];
+
+template <typename U> struct binary_format_lookup_tables<float, U> {
+  static constexpr float powers_of_ten[] = {1e0f, 1e1f, 1e2f, 1e3f, 1e4f, 1e5f,
+                                            1e6f, 1e7f, 1e8f, 1e9f, 1e10f};
+
+  // Largest integer value v so that (5**index * v) <= 1<<24.
+  // 0x1000000 == 1<<24
+  static constexpr uint64_t max_mantissa[] = {
+      0x1000000,
+      0x1000000 / 5,
+      0x1000000 / (5 * 5),
+      0x1000000 / (5 * 5 * 5),
+      0x1000000 / (5 * 5 * 5 * 5),
+      0x1000000 / (constant_55555),
+      0x1000000 / (constant_55555 * 5),
+      0x1000000 / (constant_55555 * 5 * 5),
+      0x1000000 / (constant_55555 * 5 * 5 * 5),
+      0x1000000 / (constant_55555 * 5 * 5 * 5 * 5),
+      0x1000000 / (constant_55555 * constant_55555),
+      0x1000000 / (constant_55555 * constant_55555 * 5)};
+};
+
+template <typename U>
+constexpr float binary_format_lookup_tables<float, U>::powers_of_ten[];
+
+template <typename U>
+constexpr uint64_t binary_format_lookup_tables<float, U>::max_mantissa[];
+
+template <>
+inline constexpr int binary_format<double>::min_exponent_fast_path() {
+#if (FLT_EVAL_METHOD != 1) && (FLT_EVAL_METHOD != 0)
+  return 0;
+#else
+  return -22;
+#endif
+}
+
+template <>
+inline constexpr int binary_format<float>::min_exponent_fast_path() {
+#if (FLT_EVAL_METHOD != 1) && (FLT_EVAL_METHOD != 0)
+  return 0;
+#else
+  return -10;
+#endif
+}
+
+template <>
+inline constexpr int binary_format<double>::mantissa_explicit_bits() {
+  return 52;
+}
+template <>
+inline constexpr int binary_format<float>::mantissa_explicit_bits() {
+  return 23;
+}
+
+template <>
+inline constexpr int binary_format<double>::max_exponent_round_to_even() {
+  return 23;
+}
+
+template <>
+inline constexpr int binary_format<float>::max_exponent_round_to_even() {
+  return 10;
+}
+
+template <>
+inline constexpr int binary_format<double>::min_exponent_round_to_even() {
+  return -4;
+}
+
+template <>
+inline constexpr int binary_format<float>::min_exponent_round_to_even() {
+  return -17;
+}
+
+template <> inline constexpr int binary_format<double>::minimum_exponent() {
+  return -1023;
+}
+template <> inline constexpr int binary_format<float>::minimum_exponent() {
+  return -127;
+}
+
+template <> inline constexpr int binary_format<double>::infinite_power() {
+  return 0x7FF;
+}
+template <> inline constexpr int binary_format<float>::infinite_power() {
+  return 0xFF;
+}
+
+template <> inline constexpr int binary_format<double>::sign_index() {
+  return 63;
+}
+template <> inline constexpr int binary_format<float>::sign_index() {
+  return 31;
+}
+
+template <>
+inline constexpr int binary_format<double>::max_exponent_fast_path() {
+  return 22;
+}
+template <>
+inline constexpr int binary_format<float>::max_exponent_fast_path() {
+  return 10;
+}
+
+template <>
+inline constexpr uint64_t binary_format<double>::max_mantissa_fast_path() {
+  return uint64_t(2) << mantissa_explicit_bits();
+}
+template <>
+inline constexpr uint64_t
+binary_format<double>::max_mantissa_fast_path(int64_t power) {
+  // caller is responsible to ensure that
+  // power >= 0 && power <= 22
+  //
+  // Work around clang bug https://godbolt.org/z/zedh7rrhc
+  return (void)max_mantissa[0], max_mantissa[power];
+}
+template <>
+inline constexpr uint64_t binary_format<float>::max_mantissa_fast_path() {
+  return uint64_t(2) << mantissa_explicit_bits();
+}
+template <>
+inline constexpr uint64_t
+binary_format<float>::max_mantissa_fast_path(int64_t power) {
+  // caller is responsible to ensure that
+  // power >= 0 && power <= 10
+  //
+  // Work around clang bug https://godbolt.org/z/zedh7rrhc
+  return (void)max_mantissa[0], max_mantissa[power];
+}
+
+template <>
+inline constexpr double
+binary_format<double>::exact_power_of_ten(int64_t power) {
+  // Work around clang bug https://godbolt.org/z/zedh7rrhc
+  return (void)powers_of_ten[0], powers_of_ten[power];
+}
+template <>
+inline constexpr float binary_format<float>::exact_power_of_ten(int64_t power) {
+  // Work around clang bug https://godbolt.org/z/zedh7rrhc
+  return (void)powers_of_ten[0], powers_of_ten[power];
+}
+
+template <> inline constexpr int binary_format<double>::largest_power_of_ten() {
+  return 308;
+}
+template <> inline constexpr int binary_format<float>::largest_power_of_ten() {
+  return 38;
+}
+
+template <>
+inline constexpr int binary_format<double>::smallest_power_of_ten() {
+  return -342;
+}
+template <> inline constexpr int binary_format<float>::smallest_power_of_ten() {
+  return -64;
+}
+
+template <> inline constexpr size_t binary_format<double>::max_digits() {
+  return 769;
+}
+template <> inline constexpr size_t binary_format<float>::max_digits() {
+  return 114;
+}
+
+template <>
+inline constexpr binary_format<float>::equiv_uint
+binary_format<float>::exponent_mask() {
+  return 0x7F800000;
+}
+template <>
+inline constexpr binary_format<double>::equiv_uint
+binary_format<double>::exponent_mask() {
+  return 0x7FF0000000000000;
+}
+
+template <>
+inline constexpr binary_format<float>::equiv_uint
+binary_format<float>::mantissa_mask() {
+  return 0x007FFFFF;
+}
+template <>
+inline constexpr binary_format<double>::equiv_uint
+binary_format<double>::mantissa_mask() {
+  return 0x000FFFFFFFFFFFFF;
+}
+
+template <>
+inline constexpr binary_format<float>::equiv_uint
+binary_format<float>::hidden_bit_mask() {
+  return 0x00800000;
+}
+template <>
+inline constexpr binary_format<double>::equiv_uint
+binary_format<double>::hidden_bit_mask() {
+  return 0x0010000000000000;
+}
+
+template <typename T>
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 void
+to_float(bool negative, adjusted_mantissa am, T &value) {
+  using fastfloat_uint = typename binary_format<T>::equiv_uint;
+  fastfloat_uint word = (fastfloat_uint)am.mantissa;
+  word |= fastfloat_uint(am.power2)
+          << binary_format<T>::mantissa_explicit_bits();
+  word |= fastfloat_uint(negative) << binary_format<T>::sign_index();
+#if FASTFLOAT_HAS_BIT_CAST
+  value = std::bit_cast<T>(word);
+#else
+  ::memcpy(&value, &word, sizeof(T));
+#endif
+}
+
+#ifdef FASTFLOAT_SKIP_WHITE_SPACE // disabled by default
+template <typename = void> struct space_lut {
+  static constexpr bool value[] = {
+      0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+      0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
+};
+
+template <typename T> constexpr bool space_lut<T>::value[];
+
+inline constexpr bool is_space(uint8_t c) { return space_lut<>::value[c]; }
+#endif
+
+template <typename UC> static constexpr uint64_t int_cmp_zeros() {
+  static_assert((sizeof(UC) == 1) || (sizeof(UC) == 2) || (sizeof(UC) == 4),
+                "Unsupported character size");
+  return (sizeof(UC) == 1) ? 0x3030303030303030
+         : (sizeof(UC) == 2)
+             ? (uint64_t(UC('0')) << 48 | uint64_t(UC('0')) << 32 |
+                uint64_t(UC('0')) << 16 | UC('0'))
+             : (uint64_t(UC('0')) << 32 | UC('0'));
+}
+template <typename UC> static constexpr int int_cmp_len() {
+  return sizeof(uint64_t) / sizeof(UC);
+}
+template <typename UC> static constexpr UC const *str_const_nan() {
+  return nullptr;
+}
+template <> constexpr char const *str_const_nan<char>() { return "nan"; }
+template <> constexpr wchar_t const *str_const_nan<wchar_t>() { return L"nan"; }
+template <> constexpr char16_t const *str_const_nan<char16_t>() {
+  return u"nan";
+}
+template <> constexpr char32_t const *str_const_nan<char32_t>() {
+  return U"nan";
+}
+template <typename UC> static constexpr UC const *str_const_inf() {
+  return nullptr;
+}
+template <> constexpr char const *str_const_inf<char>() { return "infinity"; }
+template <> constexpr wchar_t const *str_const_inf<wchar_t>() {
+  return L"infinity";
+}
+template <> constexpr char16_t const *str_const_inf<char16_t>() {
+  return u"infinity";
+}
+template <> constexpr char32_t const *str_const_inf<char32_t>() {
+  return U"infinity";
+}
+
+template <typename = void> struct int_luts {
+  static constexpr uint8_t chdigit[] = {
+      255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
+      255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
+      255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
+      255, 255, 255, 0,   1,   2,   3,   4,   5,   6,   7,   8,   9,   255, 255,
+      255, 255, 255, 255, 255, 10,  11,  12,  13,  14,  15,  16,  17,  18,  19,
+      20,  21,  22,  23,  24,  25,  26,  27,  28,  29,  30,  31,  32,  33,  34,
+      35,  255, 255, 255, 255, 255, 255, 10,  11,  12,  13,  14,  15,  16,  17,
+      18,  19,  20,  21,  22,  23,  24,  25,  26,  27,  28,  29,  30,  31,  32,
+      33,  34,  35,  255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
+      255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
+      255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
+      255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
+      255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
+      255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
+      255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
+      255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
+      255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
+      255};
+
+  static constexpr size_t maxdigits_u64[] = {
+      64, 41, 32, 28, 25, 23, 22, 21, 20, 19, 18, 18, 17, 17, 16, 16, 16, 16,
+      15, 15, 15, 15, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 13, 13, 13};
+
+  static constexpr uint64_t min_safe_u64[] = {
+      9223372036854775808ull,  12157665459056928801ull, 4611686018427387904,
+      7450580596923828125,     4738381338321616896,     3909821048582988049,
+      9223372036854775808ull,  12157665459056928801ull, 10000000000000000000ull,
+      5559917313492231481,     2218611106740436992,     8650415919381337933,
+      2177953337809371136,     6568408355712890625,     1152921504606846976,
+      2862423051509815793,     6746640616477458432,     15181127029874798299ull,
+      1638400000000000000,     3243919932521508681,     6221821273427820544,
+      11592836324538749809ull, 876488338465357824,      1490116119384765625,
+      2481152873203736576,     4052555153018976267,     6502111422497947648,
+      10260628712958602189ull, 15943230000000000000ull, 787662783788549761,
+      1152921504606846976,     1667889514952984961,     2386420683693101056,
+      3379220508056640625,     4738381338321616896};
+};
+
+template <typename T> constexpr uint8_t int_luts<T>::chdigit[];
+
+template <typename T> constexpr size_t int_luts<T>::maxdigits_u64[];
+
+template <typename T> constexpr uint64_t int_luts<T>::min_safe_u64[];
+
+template <typename UC>
+fastfloat_really_inline constexpr uint8_t ch_to_digit(UC c) {
+  return int_luts<>::chdigit[static_cast<unsigned char>(c)];
+}
+
+fastfloat_really_inline constexpr size_t max_digits_u64(int base) {
+  return int_luts<>::maxdigits_u64[base - 2];
+}
+
+// If a u64 is exactly max_digits_u64() in length, this is
+// the value below which it has definitely overflowed.
+fastfloat_really_inline constexpr uint64_t min_safe_u64(int base) {
+  return int_luts<>::min_safe_u64[base - 2];
+}
+
+} // namespace fast_float
+
+#endif
+
+
+#ifndef FASTFLOAT_FAST_FLOAT_H
+#define FASTFLOAT_FAST_FLOAT_H
+
+
+namespace fast_float {
+/**
+ * This function parses the character sequence [first,last) for a number. It
+ * parses floating-point numbers expecting a locale-indepent format equivalent
+ * to what is used by std::strtod in the default ("C") locale. The resulting
+ * floating-point value is the closest floating-point values (using either float
+ * or double), using the "round to even" convention for values that would
+ * otherwise fall right in-between two values. That is, we provide exact parsing
+ * according to the IEEE standard.
+ *
+ * Given a successful parse, the pointer (`ptr`) in the returned value is set to
+ * point right after the parsed number, and the `value` referenced is set to the
+ * parsed value. In case of error, the returned `ec` contains a representative
+ * error, otherwise the default (`std::errc()`) value is stored.
+ *
+ * The implementation does not throw and does not allocate memory (e.g., with
+ * `new` or `malloc`).
+ *
+ * Like the C++17 standard, the `fast_float::from_chars` functions take an
+ * optional last argument of the type `fast_float::chars_format`. It is a bitset
+ * value: we check whether `fmt & fast_float::chars_format::fixed` and `fmt &
+ * fast_float::chars_format::scientific` are set to determine whether we allow
+ * the fixed point and scientific notation respectively. The default is
+ * `fast_float::chars_format::general` which allows both `fixed` and
+ * `scientific`.
+ */
+template <typename T, typename UC = char,
+          typename = FASTFLOAT_ENABLE_IF(is_supported_float_type<T>())>
+FASTFLOAT_CONSTEXPR20 from_chars_result_t<UC>
+from_chars(UC const *first, UC const *last, T &value,
+           chars_format fmt = chars_format::general) noexcept;
+
+/**
+ * Like from_chars, but accepts an `options` argument to govern number parsing.
+ */
+template <typename T, typename UC = char>
+FASTFLOAT_CONSTEXPR20 from_chars_result_t<UC>
+from_chars_advanced(UC const *first, UC const *last, T &value,
+                    parse_options_t<UC> options) noexcept;
+/**
+ * from_chars for integer types.
+ */
+template <typename T, typename UC = char,
+          typename = FASTFLOAT_ENABLE_IF(!is_supported_float_type<T>())>
+FASTFLOAT_CONSTEXPR20 from_chars_result_t<UC>
+from_chars(UC const *first, UC const *last, T &value, int base = 10) noexcept;
+
+} // namespace fast_float
+#endif // FASTFLOAT_FAST_FLOAT_H
+
+#ifndef FASTFLOAT_ASCII_NUMBER_H
+#define FASTFLOAT_ASCII_NUMBER_H
+
+#include <cctype>
+#include <cstdint>
+#include <cstring>
+#include <iterator>
+#include <limits>
+#include <type_traits>
+
+
+#ifdef FASTFLOAT_SSE2
+#include <emmintrin.h>
+#endif
+
+#ifdef FASTFLOAT_NEON
+#include <arm_neon.h>
+#endif
+
+namespace fast_float {
+
+template <typename UC> fastfloat_really_inline constexpr bool has_simd_opt() {
+#ifdef FASTFLOAT_HAS_SIMD
+  return std::is_same<UC, char16_t>::value;
+#else
+  return false;
+#endif
+}
+
+// Next function can be micro-optimized, but compilers are entirely
+// able to optimize it well.
+template <typename UC>
+fastfloat_really_inline constexpr bool is_integer(UC c) noexcept {
+  return !(c > UC('9') || c < UC('0'));
+}
+
+fastfloat_really_inline constexpr uint64_t byteswap(uint64_t val) {
+  return (val & 0xFF00000000000000) >> 56 | (val & 0x00FF000000000000) >> 40 |
+         (val & 0x0000FF0000000000) >> 24 | (val & 0x000000FF00000000) >> 8 |
+         (val & 0x00000000FF000000) << 8 | (val & 0x0000000000FF0000) << 24 |
+         (val & 0x000000000000FF00) << 40 | (val & 0x00000000000000FF) << 56;
+}
+
+// Read 8 UC into a u64. Truncates UC if not char.
+template <typename UC>
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 uint64_t
+read8_to_u64(const UC *chars) {
+  if (cpp20_and_in_constexpr() || !std::is_same<UC, char>::value) {
+    uint64_t val = 0;
+    for (int i = 0; i < 8; ++i) {
+      val |= uint64_t(uint8_t(*chars)) << (i * 8);
+      ++chars;
+    }
+    return val;
+  }
+  uint64_t val;
+  ::memcpy(&val, chars, sizeof(uint64_t));
+#if FASTFLOAT_IS_BIG_ENDIAN == 1
+  // Need to read as-if the number was in little-endian order.
+  val = byteswap(val);
+#endif
+  return val;
+}
+
+#ifdef FASTFLOAT_SSE2
+
+fastfloat_really_inline uint64_t simd_read8_to_u64(const __m128i data) {
+  FASTFLOAT_SIMD_DISABLE_WARNINGS
+  const __m128i packed = _mm_packus_epi16(data, data);
+#ifdef FASTFLOAT_64BIT
+  return uint64_t(_mm_cvtsi128_si64(packed));
+#else
+  uint64_t value;
+  // Visual Studio + older versions of GCC don't support _mm_storeu_si64
+  _mm_storel_epi64(reinterpret_cast<__m128i *>(&value), packed);
+  return value;
+#endif
+  FASTFLOAT_SIMD_RESTORE_WARNINGS
+}
+
+fastfloat_really_inline uint64_t simd_read8_to_u64(const char16_t *chars) {
+  FASTFLOAT_SIMD_DISABLE_WARNINGS
+  return simd_read8_to_u64(
+      _mm_loadu_si128(reinterpret_cast<const __m128i *>(chars)));
+  FASTFLOAT_SIMD_RESTORE_WARNINGS
+}
+
+#elif defined(FASTFLOAT_NEON)
+
+fastfloat_really_inline uint64_t simd_read8_to_u64(const uint16x8_t data) {
+  FASTFLOAT_SIMD_DISABLE_WARNINGS
+  uint8x8_t utf8_packed = vmovn_u16(data);
+  return vget_lane_u64(vreinterpret_u64_u8(utf8_packed), 0);
+  FASTFLOAT_SIMD_RESTORE_WARNINGS
+}
+
+fastfloat_really_inline uint64_t simd_read8_to_u64(const char16_t *chars) {
+  FASTFLOAT_SIMD_DISABLE_WARNINGS
+  return simd_read8_to_u64(
+      vld1q_u16(reinterpret_cast<const uint16_t *>(chars)));
+  FASTFLOAT_SIMD_RESTORE_WARNINGS
+}
+
+#endif // FASTFLOAT_SSE2
+
+// MSVC SFINAE is broken pre-VS2017
+#if defined(_MSC_VER) && _MSC_VER <= 1900
+template <typename UC>
+#else
+template <typename UC, FASTFLOAT_ENABLE_IF(!has_simd_opt<UC>()) = 0>
+#endif
+// dummy for compile
+uint64_t simd_read8_to_u64(UC const *) {
+  return 0;
+}
+
+// credit  @aqrit
+fastfloat_really_inline FASTFLOAT_CONSTEXPR14 uint32_t
+parse_eight_digits_unrolled(uint64_t val) {
+  const uint64_t mask = 0x000000FF000000FF;
+  const uint64_t mul1 = 0x000F424000000064; // 100 + (1000000ULL << 32)
+  const uint64_t mul2 = 0x0000271000000001; // 1 + (10000ULL << 32)
+  val -= 0x3030303030303030;
+  val = (val * 10) + (val >> 8); // val = (val * 2561) >> 8;
+  val = (((val & mask) * mul1) + (((val >> 16) & mask) * mul2)) >> 32;
+  return uint32_t(val);
+}
+
+// Call this if chars are definitely 8 digits.
+template <typename UC>
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 uint32_t
+parse_eight_digits_unrolled(UC const *chars) noexcept {
+  if (cpp20_and_in_constexpr() || !has_simd_opt<UC>()) {
+    return parse_eight_digits_unrolled(read8_to_u64(chars)); // truncation okay
+  }
+  return parse_eight_digits_unrolled(simd_read8_to_u64(chars));
+}
+
+// credit @aqrit
+fastfloat_really_inline constexpr bool
+is_made_of_eight_digits_fast(uint64_t val) noexcept {
+  return !((((val + 0x4646464646464646) | (val - 0x3030303030303030)) &
+            0x8080808080808080));
+}
+
+#ifdef FASTFLOAT_HAS_SIMD
+
+// Call this if chars might not be 8 digits.
+// Using this style (instead of is_made_of_eight_digits_fast() then
+// parse_eight_digits_unrolled()) ensures we don't load SIMD registers twice.
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 bool
+simd_parse_if_eight_digits_unrolled(const char16_t *chars,
+                                    uint64_t &i) noexcept {
+  if (cpp20_and_in_constexpr()) {
+    return false;
+  }
+#ifdef FASTFLOAT_SSE2
+  FASTFLOAT_SIMD_DISABLE_WARNINGS
+  const __m128i data =
+      _mm_loadu_si128(reinterpret_cast<const __m128i *>(chars));
+
+  // (x - '0') <= 9
+  // http://0x80.pl/articles/simd-parsing-int-sequences.html
+  const __m128i t0 = _mm_add_epi16(data, _mm_set1_epi16(32720));
+  const __m128i t1 = _mm_cmpgt_epi16(t0, _mm_set1_epi16(-32759));
+
+  if (_mm_movemask_epi8(t1) == 0) {
+    i = i * 100000000 + parse_eight_digits_unrolled(simd_read8_to_u64(data));
+    return true;
+  } else
+    return false;
+  FASTFLOAT_SIMD_RESTORE_WARNINGS
+#elif defined(FASTFLOAT_NEON)
+  FASTFLOAT_SIMD_DISABLE_WARNINGS
+  const uint16x8_t data = vld1q_u16(reinterpret_cast<const uint16_t *>(chars));
+
+  // (x - '0') <= 9
+  // http://0x80.pl/articles/simd-parsing-int-sequences.html
+  const uint16x8_t t0 = vsubq_u16(data, vmovq_n_u16('0'));
+  const uint16x8_t mask = vcltq_u16(t0, vmovq_n_u16('9' - '0' + 1));
+
+  if (vminvq_u16(mask) == 0xFFFF) {
+    i = i * 100000000 + parse_eight_digits_unrolled(simd_read8_to_u64(data));
+    return true;
+  } else
+    return false;
+  FASTFLOAT_SIMD_RESTORE_WARNINGS
+#else
+  (void)chars;
+  (void)i;
+  return false;
+#endif // FASTFLOAT_SSE2
+}
+
+#endif // FASTFLOAT_HAS_SIMD
+
+// MSVC SFINAE is broken pre-VS2017
+#if defined(_MSC_VER) && _MSC_VER <= 1900
+template <typename UC>
+#else
+template <typename UC, FASTFLOAT_ENABLE_IF(!has_simd_opt<UC>()) = 0>
+#endif
+// dummy for compile
+bool simd_parse_if_eight_digits_unrolled(UC const *, uint64_t &) {
+  return 0;
+}
+
+template <typename UC, FASTFLOAT_ENABLE_IF(!std::is_same<UC, char>::value) = 0>
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 void
+loop_parse_if_eight_digits(const UC *&p, const UC *const pend, uint64_t &i) {
+  if (!has_simd_opt<UC>()) {
+    return;
+  }
+  while ((std::distance(p, pend) >= 8) &&
+         simd_parse_if_eight_digits_unrolled(
+             p, i)) { // in rare cases, this will overflow, but that's ok
+    p += 8;
+  }
+}
+
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 void
+loop_parse_if_eight_digits(const char *&p, const char *const pend,
+                           uint64_t &i) {
+  // optimizes better than parse_if_eight_digits_unrolled() for UC = char.
+  while ((std::distance(p, pend) >= 8) &&
+         is_made_of_eight_digits_fast(read8_to_u64(p))) {
+    i = i * 100000000 +
+        parse_eight_digits_unrolled(read8_to_u64(
+            p)); // in rare cases, this will overflow, but that's ok
+    p += 8;
+  }
+}
+
+enum class parse_error {
+  no_error,
+  // [JSON-only] The minus sign must be followed by an integer.
+  missing_integer_after_sign,
+  // A sign must be followed by an integer or dot.
+  missing_integer_or_dot_after_sign,
+  // [JSON-only] The integer part must not have leading zeros.
+  leading_zeros_in_integer_part,
+  // [JSON-only] The integer part must have at least one digit.
+  no_digits_in_integer_part,
+  // [JSON-only] If there is a decimal point, there must be digits in the
+  // fractional part.
+  no_digits_in_fractional_part,
+  // The mantissa must have at least one digit.
+  no_digits_in_mantissa,
+  // Scientific notation requires an exponential part.
+  missing_exponential_part,
+};
+
+template <typename UC> struct parsed_number_string_t {
+  int64_t exponent{0};
+  uint64_t mantissa{0};
+  UC const *lastmatch{nullptr};
+  bool negative{false};
+  bool valid{false};
+  bool too_many_digits{false};
+  // contains the range of the significant digits
+  span<const UC> integer{};  // non-nullable
+  span<const UC> fraction{}; // nullable
+  parse_error error{parse_error::no_error};
+};
+
+using byte_span = span<const char>;
+using parsed_number_string = parsed_number_string_t<char>;
+
+template <typename UC>
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 parsed_number_string_t<UC>
+report_parse_error(UC const *p, parse_error error) {
+  parsed_number_string_t<UC> answer;
+  answer.valid = false;
+  answer.lastmatch = p;
+  answer.error = error;
+  return answer;
+}
+
+// Assuming that you use no more than 19 digits, this will
+// parse an ASCII string.
+template <typename UC>
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 parsed_number_string_t<UC>
+parse_number_string(UC const *p, UC const *pend,
+                    parse_options_t<UC> options) noexcept {
+  chars_format const fmt = options.format;
+  UC const decimal_point = options.decimal_point;
+
+  parsed_number_string_t<UC> answer;
+  answer.valid = false;
+  answer.too_many_digits = false;
+  answer.negative = (*p == UC('-'));
+#ifdef FASTFLOAT_ALLOWS_LEADING_PLUS // disabled by default
+  if ((*p == UC('-')) || (!(fmt & FASTFLOAT_JSONFMT) && *p == UC('+'))) {
+#else
+  if (*p == UC('-')) { // C++17 20.19.3.(7.1) explicitly forbids '+' sign here
+#endif
+    ++p;
+    if (p == pend) {
+      return report_parse_error<UC>(
+          p, parse_error::missing_integer_or_dot_after_sign);
+    }
+    if (fmt & FASTFLOAT_JSONFMT) {
+      if (!is_integer(*p)) { // a sign must be followed by an integer
+        return report_parse_error<UC>(p,
+                                      parse_error::missing_integer_after_sign);
+      }
+    } else {
+      if (!is_integer(*p) &&
+          (*p !=
+           decimal_point)) { // a sign must be followed by an integer or the dot
+        return report_parse_error<UC>(
+            p, parse_error::missing_integer_or_dot_after_sign);
+      }
+    }
+  }
+  UC const *const start_digits = p;
+
+  uint64_t i = 0; // an unsigned int avoids signed overflows (which are bad)
+
+  while ((p != pend) && is_integer(*p)) {
+    // a multiplication by 10 is cheaper than an arbitrary integer
+    // multiplication
+    i = 10 * i +
+        uint64_t(*p -
+                 UC('0')); // might overflow, we will handle the overflow later
+    ++p;
+  }
+  UC const *const end_of_integer_part = p;
+  int64_t digit_count = int64_t(end_of_integer_part - start_digits);
+  answer.integer = span<const UC>(start_digits, size_t(digit_count));
+  if (fmt & FASTFLOAT_JSONFMT) {
+    // at least 1 digit in integer part, without leading zeros
+    if (digit_count == 0) {
+      return report_parse_error<UC>(p, parse_error::no_digits_in_integer_part);
+    }
+    if ((start_digits[0] == UC('0') && digit_count > 1)) {
+      return report_parse_error<UC>(start_digits,
+                                    parse_error::leading_zeros_in_integer_part);
+    }
+  }
+
+  int64_t exponent = 0;
+  const bool has_decimal_point = (p != pend) && (*p == decimal_point);
+  if (has_decimal_point) {
+    ++p;
+    UC const *before = p;
+    // can occur at most twice without overflowing, but let it occur more, since
+    // for integers with many digits, digit parsing is the primary bottleneck.
+    loop_parse_if_eight_digits(p, pend, i);
+
+    while ((p != pend) && is_integer(*p)) {
+      uint8_t digit = uint8_t(*p - UC('0'));
+      ++p;
+      i = i * 10 + digit; // in rare cases, this will overflow, but that's ok
+    }
+    exponent = before - p;
+    answer.fraction = span<const UC>(before, size_t(p - before));
+    digit_count -= exponent;
+  }
+  if (fmt & FASTFLOAT_JSONFMT) {
+    // at least 1 digit in fractional part
+    if (has_decimal_point && exponent == 0) {
+      return report_parse_error<UC>(p,
+                                    parse_error::no_digits_in_fractional_part);
+    }
+  } else if (digit_count ==
+             0) { // we must have encountered at least one integer!
+    return report_parse_error<UC>(p, parse_error::no_digits_in_mantissa);
+  }
+  int64_t exp_number = 0; // explicit exponential part
+  if (((fmt & chars_format::scientific) && (p != pend) &&
+       ((UC('e') == *p) || (UC('E') == *p))) ||
+      ((fmt & FASTFLOAT_FORTRANFMT) && (p != pend) &&
+       ((UC('+') == *p) || (UC('-') == *p) || (UC('d') == *p) ||
+        (UC('D') == *p)))) {
+    UC const *location_of_e = p;
+    if ((UC('e') == *p) || (UC('E') == *p) || (UC('d') == *p) ||
+        (UC('D') == *p)) {
+      ++p;
+    }
+    bool neg_exp = false;
+    if ((p != pend) && (UC('-') == *p)) {
+      neg_exp = true;
+      ++p;
+    } else if ((p != pend) &&
+               (UC('+') ==
+                *p)) { // '+' on exponent is allowed by C++17 20.19.3.(7.1)
+      ++p;
+    }
+    if ((p == pend) || !is_integer(*p)) {
+      if (!(fmt & chars_format::fixed)) {
+        // The exponential part is invalid for scientific notation, so it must
+        // be a trailing token for fixed notation. However, fixed notation is
+        // disabled, so report a scientific notation error.
+        return report_parse_error<UC>(p, parse_error::missing_exponential_part);
+      }
+      // Otherwise, we will be ignoring the 'e'.
+      p = location_of_e;
+    } else {
+      while ((p != pend) && is_integer(*p)) {
+        uint8_t digit = uint8_t(*p - UC('0'));
+        if (exp_number < 0x10000000) {
+          exp_number = 10 * exp_number + digit;
+        }
+        ++p;
+      }
+      if (neg_exp) {
+        exp_number = -exp_number;
+      }
+      exponent += exp_number;
+    }
+  } else {
+    // If it scientific and not fixed, we have to bail out.
+    if ((fmt & chars_format::scientific) && !(fmt & chars_format::fixed)) {
+      return report_parse_error<UC>(p, parse_error::missing_exponential_part);
+    }
+  }
+  answer.lastmatch = p;
+  answer.valid = true;
+
+  // 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.
+  //
+  // We can deal with up to 19 digits.
+  if (digit_count > 19) { // this is uncommon
+    // It is possible that the integer had an overflow.
+    // We have to handle the case where we have 0.0000somenumber.
+    // We need to be mindful of the case where we only have zeroes...
+    // E.g., 0.000000000...000.
+    UC const *start = start_digits;
+    while ((start != pend) && (*start == UC('0') || *start == decimal_point)) {
+      if (*start == UC('0')) {
+        digit_count--;
+      }
+      start++;
+    }
+
+    if (digit_count > 19) {
+      answer.too_many_digits = true;
+      // Let us start again, this time, avoiding overflows.
+      // We don't need to check if is_integer, since we use the
+      // pre-tokenized spans from above.
+      i = 0;
+      p = answer.integer.ptr;
+      UC const *int_end = p + answer.integer.len();
+      const uint64_t minimal_nineteen_digit_integer{1000000000000000000};
+      while ((i < minimal_nineteen_digit_integer) && (p != int_end)) {
+        i = i * 10 + uint64_t(*p - UC('0'));
+        ++p;
+      }
+      if (i >= minimal_nineteen_digit_integer) { // We have a big integers
+        exponent = end_of_integer_part - p + exp_number;
+      } else { // We have a value with a fractional component.
+        p = answer.fraction.ptr;
+        UC const *frac_end = p + answer.fraction.len();
+        while ((i < minimal_nineteen_digit_integer) && (p != frac_end)) {
+          i = i * 10 + uint64_t(*p - UC('0'));
+          ++p;
+        }
+        exponent = answer.fraction.ptr - p + exp_number;
+      }
+      // We have now corrected both exponent and i, to a truncated value
+    }
+  }
+  answer.exponent = exponent;
+  answer.mantissa = i;
+  return answer;
+}
+
+template <typename T, typename UC>
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 from_chars_result_t<UC>
+parse_int_string(UC const *p, UC const *pend, T &value, int base) {
+  from_chars_result_t<UC> answer;
+
+  UC const *const first = p;
+
+  bool negative = (*p == UC('-'));
+  if (!std::is_signed<T>::value && negative) {
+    answer.ec = std::errc::invalid_argument;
+    answer.ptr = first;
+    return answer;
+  }
+#ifdef FASTFLOAT_ALLOWS_LEADING_PLUS // disabled by default
+  if ((*p == UC('-')) || (*p == UC('+'))) {
+#else
+  if (*p == UC('-')) {
+#endif
+    ++p;
+  }
+
+  UC const *const start_num = p;
+
+  while (p != pend && *p == UC('0')) {
+    ++p;
+  }
+
+  const bool has_leading_zeros = p > start_num;
+
+  UC const *const start_digits = p;
+
+  uint64_t i = 0;
+  if (base == 10) {
+    loop_parse_if_eight_digits(p, pend, i); // use SIMD if possible
+  }
+  while (p != pend) {
+    uint8_t digit = ch_to_digit(*p);
+    if (digit >= base) {
+      break;
+    }
+    i = uint64_t(base) * i + digit; // might overflow, check this later
+    p++;
+  }
+
+  size_t digit_count = size_t(p - start_digits);
+
+  if (digit_count == 0) {
+    if (has_leading_zeros) {
+      value = 0;
+      answer.ec = std::errc();
+      answer.ptr = p;
+    } else {
+      answer.ec = std::errc::invalid_argument;
+      answer.ptr = first;
+    }
+    return answer;
+  }
+
+  answer.ptr = p;
+
+  // check u64 overflow
+  size_t max_digits = max_digits_u64(base);
+  if (digit_count > max_digits) {
+    answer.ec = std::errc::result_out_of_range;
+    return answer;
+  }
+  // this check can be eliminated for all other types, but they will all require
+  // a max_digits(base) equivalent
+  if (digit_count == max_digits && i < min_safe_u64(base)) {
+    answer.ec = std::errc::result_out_of_range;
+    return answer;
+  }
+
+  // check other types overflow
+  if (!std::is_same<T, uint64_t>::value) {
+    if (i > uint64_t(std::numeric_limits<T>::max()) + uint64_t(negative)) {
+      answer.ec = std::errc::result_out_of_range;
+      return answer;
+    }
+  }
+
+  if (negative) {
+#ifdef FASTFLOAT_VISUAL_STUDIO
+#pragma warning(push)
+#pragma warning(disable : 4146)
+#endif
+    // this weird workaround is required because:
+    // - converting unsigned to signed when its value is greater than signed max
+    // is UB pre-C++23.
+    // - reinterpret_casting (~i + 1) would work, but it is not constexpr
+    // this is always optimized into a neg instruction (note: T is an integer
+    // type)
+    value = T(-std::numeric_limits<T>::max() -
+              T(i - uint64_t(std::numeric_limits<T>::max())));
+#ifdef FASTFLOAT_VISUAL_STUDIO
+#pragma warning(pop)
+#endif
+  } else {
+    value = T(i);
+  }
+
+  answer.ec = std::errc();
+  return answer;
+}
+
+} // namespace fast_float
+
+#endif
+
+#ifndef FASTFLOAT_FAST_TABLE_H
+#define FASTFLOAT_FAST_TABLE_H
+
+#include <cstdint>
+
+namespace fast_float {
+
+/**
+ * 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 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.
+ */
+template <class unused = void> struct powers_template {
+
+  constexpr static int smallest_power_of_five =
+      binary_format<double>::smallest_power_of_ten();
+  constexpr static int largest_power_of_five =
+      binary_format<double>::largest_power_of_ten();
+  constexpr static int number_of_entries =
+      2 * (largest_power_of_five - smallest_power_of_five + 1);
+  // Powers of five from 5^-342 all the way to 5^308 rounded toward one.
+  constexpr static uint64_t power_of_five_128[number_of_entries] = {
+      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,
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+      0xfea126b7d78186bc, 0xe2f610c84987bfa8,
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+      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,
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+      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,
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+      0xb267ed1940f1c61c, 0x55f038b237591ed3,
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+      0xae397d8aa96c1b77, 0xabec975e0a0d081a,
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+      0x881cea14545c7575, 0x7e50d64177da2e54,
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+      0xcfb11ead453994ba, 0x67de18eda5814af2,
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+      0x9e74d1b791e07e48, 0x775ea264cf55347e,
+      0xc612062576589dda, 0x95364afe032a819e,
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+      0x9abe14cd44753b52, 0xc4926a9672793543,
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+      0x83126e978d4fdf3b, 0x645a1cac083126ea,
+      0xa3d70a3d70a3d70a, 0x3d70a3d70a3d70a4,
+      0xcccccccccccccccc, 0xcccccccccccccccd,
+      0x8000000000000000, 0x0,
+      0xa000000000000000, 0x0,
+      0xc800000000000000, 0x0,
+      0xfa00000000000000, 0x0,
+      0x9c40000000000000, 0x0,
+      0xc350000000000000, 0x0,
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+      0x9896800000000000, 0x0,
+      0xbebc200000000000, 0x0,
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+      0xe8d4a51000000000, 0x0,
+      0x9184e72a00000000, 0x0,
+      0xb5e620f480000000, 0x0,
+      0xe35fa931a0000000, 0x0,
+      0x8e1bc9bf04000000, 0x0,
+      0xb1a2bc2ec5000000, 0x0,
+      0xde0b6b3a76400000, 0x0,
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+      0xd3c21bcecceda100, 0x0,
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+      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,
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+      0xa70c3c40a64e6c51, 0x999090b65f67d924,
+      0xd0cf4b50cfe20765, 0xfff4b4e3f741cf6d,
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+      0xf316271c7fc3908a, 0x8bef464e3945ef7a,
+      0x97edd871cfda3a56, 0x97758bf0e3cbb5ac,
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+      0xed63a231d4c4fb27, 0x4ca7aaa863ee4bdd,
+      0x945e455f24fb1cf8, 0x8fe8caa93e74ef6a,
+      0xb975d6b6ee39e436, 0xb3e2fd538e122b44,
+      0xe7d34c64a9c85d44, 0x60dbbca87196b616,
+      0x90e40fbeea1d3a4a, 0xbc8955e946fe31cd,
+      0xb51d13aea4a488dd, 0x6babab6398bdbe41,
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+      0x8d7eb76070a08aec, 0xfc1e1de5cf543ca2,
+      0xb0de65388cc8ada8, 0x3b25a55f43294bcb,
+      0xdd15fe86affad912, 0x49ef0eb713f39ebe,
+      0x8a2dbf142dfcc7ab, 0x6e3569326c784337,
+      0xacb92ed9397bf996, 0x49c2c37f07965404,
+      0xd7e77a8f87daf7fb, 0xdc33745ec97be906,
+      0x86f0ac99b4e8dafd, 0x69a028bb3ded71a3,
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+      0xd2d80db02aabd62b, 0xf50a3fa490c30190,
+      0x83c7088e1aab65db, 0x792667c6da79e0fa,
+      0xa4b8cab1a1563f52, 0x577001b891185938,
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+      0x80b05e5ac60b6178, 0x544f8158315b05b4,
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+      0xc45d1df942711d9a, 0x3ba5d0bd324f8394,
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+      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,
+  };
+};
+
+template <class unused>
+constexpr uint64_t
+    powers_template<unused>::power_of_five_128[number_of_entries];
+
+using powers = powers_template<>;
+
+} // namespace fast_float
+
+#endif
+
+#ifndef FASTFLOAT_DECIMAL_TO_BINARY_H
+#define FASTFLOAT_DECIMAL_TO_BINARY_H
+
+#include <cfloat>
+#include <cinttypes>
+#include <cmath>
+#include <cstdint>
+#include <cstdlib>
+#include <cstring>
+
+namespace fast_float {
+
+// This will compute or rather approximate w * 5**q and return a pair of 64-bit
+// words approximating the result, with the "high" part corresponding to the
+// most significant bits and the low part corresponding to the least significant
+// bits.
+//
+template <int bit_precision>
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 value128
+compute_product_approximation(int64_t q, uint64_t w) {
+  const int index = 2 * int(q - powers::smallest_power_of_five);
+  // For small values of q, e.g., q in [0,27], the answer is always exact
+  // because The line value128 firstproduct = full_multiplication(w,
+  // power_of_five_128[index]); gives the exact answer.
+  value128 firstproduct =
+      full_multiplication(w, powers::power_of_five_128[index]);
+  static_assert((bit_precision >= 0) && (bit_precision <= 64),
+                " precision should  be in (0,64]");
+  constexpr uint64_t precision_mask =
+      (bit_precision < 64) ? (uint64_t(0xFFFFFFFFFFFFFFFF) >> bit_precision)
+                           : uint64_t(0xFFFFFFFFFFFFFFFF);
+  if ((firstproduct.high & precision_mask) ==
+      precision_mask) { // could further guard with  (lower + w < lower)
+    // regarding the second product, we only need secondproduct.high, but our
+    // expectation is that the compiler will optimize this extra work away if
+    // needed.
+    value128 secondproduct =
+        full_multiplication(w, powers::power_of_five_128[index + 1]);
+    firstproduct.low += secondproduct.high;
+    if (secondproduct.high > firstproduct.low) {
+      firstproduct.high++;
+    }
+  }
+  return firstproduct;
+}
+
+namespace detail {
+/**
+ * For q in (0,350), we have that
+ *  f = (((152170 + 65536) * q ) >> 16);
+ * is equal to
+ *   floor(p) + q
+ * where
+ *   p = log(5**q)/log(2) = q * log(5)/log(2)
+ *
+ * For negative values of q in (-400,0), we have that
+ *  f = (((152170 + 65536) * q ) >> 16);
+ * is equal to
+ *   -ceil(p) + q
+ * where
+ *   p = log(5**-q)/log(2) = -q * log(5)/log(2)
+ */
+constexpr fastfloat_really_inline int32_t power(int32_t q) noexcept {
+  return (((152170 + 65536) * q) >> 16) + 63;
+}
+} // namespace detail
+
+// create an adjusted mantissa, biased by the invalid power2
+// for significant digits already multiplied by 10 ** q.
+template <typename binary>
+fastfloat_really_inline FASTFLOAT_CONSTEXPR14 adjusted_mantissa
+compute_error_scaled(int64_t q, uint64_t w, int lz) noexcept {
+  int hilz = int(w >> 63) ^ 1;
+  adjusted_mantissa answer;
+  answer.mantissa = w << hilz;
+  int bias = binary::mantissa_explicit_bits() - binary::minimum_exponent();
+  answer.power2 = int32_t(detail::power(int32_t(q)) + bias - hilz - lz - 62 +
+                          invalid_am_bias);
+  return answer;
+}
+
+// w * 10 ** q, without rounding the representation up.
+// the power2 in the exponent will be adjusted by invalid_am_bias.
+template <typename binary>
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 adjusted_mantissa
+compute_error(int64_t q, uint64_t w) noexcept {
+  int lz = leading_zeroes(w);
+  w <<= lz;
+  value128 product =
+      compute_product_approximation<binary::mantissa_explicit_bits() + 3>(q, w);
+  return compute_error_scaled<binary>(q, product.high, lz);
+}
+
+// w * 10 ** q
+// The returned value should be a valid ieee64 number that simply need to be
+// packed. However, in some very rare cases, the computation will fail. In such
+// cases, we return an adjusted_mantissa with a negative power of 2: the caller
+// should recompute in such cases.
+template <typename binary>
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 adjusted_mantissa
+compute_float(int64_t q, uint64_t w) noexcept {
+  adjusted_mantissa answer;
+  if ((w == 0) || (q < binary::smallest_power_of_ten())) {
+    answer.power2 = 0;
+    answer.mantissa = 0;
+    // result should be zero
+    return answer;
+  }
+  if (q > binary::largest_power_of_ten()) {
+    // we want to get infinity:
+    answer.power2 = binary::infinite_power();
+    answer.mantissa = 0;
+    return answer;
+  }
+  // At this point in time q is in [powers::smallest_power_of_five,
+  // powers::largest_power_of_five].
+
+  // We want the most significant bit of i to be 1. Shift if needed.
+  int lz = leading_zeroes(w);
+  w <<= lz;
+
+  // The required precision is binary::mantissa_explicit_bits() + 3 because
+  // 1. We need the implicit bit
+  // 2. We need an extra bit for rounding purposes
+  // 3. We might lose a bit due to the "upperbit" routine (result too small,
+  // requiring a shift)
+
+  value128 product =
+      compute_product_approximation<binary::mantissa_explicit_bits() + 3>(q, w);
+  // The computed 'product' is always sufficient.
+  // Mathematical proof:
+  // Noble Mushtak and Daniel Lemire, Fast Number Parsing Without Fallback (to
+  // appear) See script/mushtak_lemire.py
+
+  // The "compute_product_approximation" function can be slightly slower than a
+  // branchless approach: value128 product = compute_product(q, w); but in
+  // practice, we can win big with the compute_product_approximation if its
+  // additional branch is easily predicted. Which is best is data specific.
+  int upperbit = int(product.high >> 63);
+  int shift = upperbit + 64 - binary::mantissa_explicit_bits() - 3;
+
+  answer.mantissa = product.high >> shift;
+
+  answer.power2 = int32_t(detail::power(int32_t(q)) + upperbit - lz -
+                          binary::minimum_exponent());
+  if (answer.power2 <= 0) { // we have a subnormal?
+    // Here have that answer.power2 <= 0 so -answer.power2 >= 0
+    if (-answer.power2 + 1 >=
+        64) { // if we have more than 64 bits below the minimum exponent, you
+              // have a zero for sure.
+      answer.power2 = 0;
+      answer.mantissa = 0;
+      // result should be zero
+      return answer;
+    }
+    // next line is safe because -answer.power2 + 1 < 64
+    answer.mantissa >>= -answer.power2 + 1;
+    // Thankfully, we can't have both "round-to-even" and subnormals because
+    // "round-to-even" only occurs for powers close to 0.
+    answer.mantissa += (answer.mantissa & 1); // round up
+    answer.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.
+    answer.power2 =
+        (answer.mantissa < (uint64_t(1) << binary::mantissa_explicit_bits()))
+            ? 0
+            : 1;
+    return answer;
+  }
+
+  // usually, we round *up*, but if we fall right in between and and we have an
+  // even basis, we need to round down
+  // We are only concerned with the cases where 5**q fits in single 64-bit word.
+  if ((product.low <= 1) && (q >= binary::min_exponent_round_to_even()) &&
+      (q <= binary::max_exponent_round_to_even()) &&
+      ((answer.mantissa & 3) == 1)) { // we may fall between two floats!
+    // To be in-between two floats we need that in doing
+    //   answer.mantissa = product.high >> (upperbit + 64 -
+    //   binary::mantissa_explicit_bits() - 3);
+    // ... we dropped out only zeroes. But if this happened, then we can go
+    // back!!!
+    if ((answer.mantissa << shift) == product.high) {
+      answer.mantissa &= ~uint64_t(1); // flip it so that we do not round up
+    }
+  }
+
+  answer.mantissa += (answer.mantissa & 1); // round up
+  answer.mantissa >>= 1;
+  if (answer.mantissa >= (uint64_t(2) << binary::mantissa_explicit_bits())) {
+    answer.mantissa = (uint64_t(1) << binary::mantissa_explicit_bits());
+    answer.power2++; // undo previous addition
+  }
+
+  answer.mantissa &= ~(uint64_t(1) << binary::mantissa_explicit_bits());
+  if (answer.power2 >= binary::infinite_power()) { // infinity
+    answer.power2 = binary::infinite_power();
+    answer.mantissa = 0;
+  }
+  return answer;
+}
+
+} // namespace fast_float
+
+#endif
+
+#ifndef FASTFLOAT_BIGINT_H
+#define FASTFLOAT_BIGINT_H
+
+#include <algorithm>
+#include <cstdint>
+#include <climits>
+#include <cstring>
+
+
+namespace fast_float {
+
+// the limb width: we want efficient multiplication of double the bits in
+// limb, or for 64-bit limbs, at least 64-bit multiplication where we can
+// extract the high and low parts efficiently. this is every 64-bit
+// architecture except for sparc, which emulates 128-bit multiplication.
+// we might have platforms where `CHAR_BIT` is not 8, so let's avoid
+// doing `8 * sizeof(limb)`.
+#if defined(FASTFLOAT_64BIT) && !defined(__sparc)
+#define FASTFLOAT_64BIT_LIMB 1
+typedef uint64_t limb;
+constexpr size_t limb_bits = 64;
+#else
+#define FASTFLOAT_32BIT_LIMB
+typedef uint32_t limb;
+constexpr size_t limb_bits = 32;
+#endif
+
+typedef span<limb> limb_span;
+
+// number of bits in a bigint. this needs to be at least the number
+// of bits required to store the largest bigint, which is
+// `log2(10**(digits + max_exp))`, or `log2(10**(767 + 342))`, or
+// ~3600 bits, so we round to 4000.
+constexpr size_t bigint_bits = 4000;
+constexpr size_t bigint_limbs = bigint_bits / limb_bits;
+
+// vector-like type that is allocated on the stack. the entire
+// buffer is pre-allocated, and only the length changes.
+template <uint16_t size> struct stackvec {
+  limb data[size];
+  // we never need more than 150 limbs
+  uint16_t length{0};
+
+  stackvec() = default;
+  stackvec(const stackvec &) = delete;
+  stackvec &operator=(const stackvec &) = delete;
+  stackvec(stackvec &&) = delete;
+  stackvec &operator=(stackvec &&other) = delete;
+
+  // create stack vector from existing limb span.
+  FASTFLOAT_CONSTEXPR20 stackvec(limb_span s) {
+    FASTFLOAT_ASSERT(try_extend(s));
+  }
+
+  FASTFLOAT_CONSTEXPR14 limb &operator[](size_t index) noexcept {
+    FASTFLOAT_DEBUG_ASSERT(index < length);
+    return data[index];
+  }
+  FASTFLOAT_CONSTEXPR14 const limb &operator[](size_t index) const noexcept {
+    FASTFLOAT_DEBUG_ASSERT(index < length);
+    return data[index];
+  }
+  // index from the end of the container
+  FASTFLOAT_CONSTEXPR14 const limb &rindex(size_t index) const noexcept {
+    FASTFLOAT_DEBUG_ASSERT(index < length);
+    size_t rindex = length - index - 1;
+    return data[rindex];
+  }
+
+  // set the length, without bounds checking.
+  FASTFLOAT_CONSTEXPR14 void set_len(size_t len) noexcept {
+    length = uint16_t(len);
+  }
+  constexpr size_t len() const noexcept { return length; }
+  constexpr bool is_empty() const noexcept { return length == 0; }
+  constexpr size_t capacity() const noexcept { return size; }
+  // append item to vector, without bounds checking
+  FASTFLOAT_CONSTEXPR14 void push_unchecked(limb value) noexcept {
+    data[length] = value;
+    length++;
+  }
+  // append item to vector, returning if item was added
+  FASTFLOAT_CONSTEXPR14 bool try_push(limb value) noexcept {
+    if (len() < capacity()) {
+      push_unchecked(value);
+      return true;
+    } else {
+      return false;
+    }
+  }
+  // add items to the vector, from a span, without bounds checking
+  FASTFLOAT_CONSTEXPR20 void extend_unchecked(limb_span s) noexcept {
+    limb *ptr = data + length;
+    std::copy_n(s.ptr, s.len(), ptr);
+    set_len(len() + s.len());
+  }
+  // try to add items to the vector, returning if items were added
+  FASTFLOAT_CONSTEXPR20 bool try_extend(limb_span s) noexcept {
+    if (len() + s.len() <= capacity()) {
+      extend_unchecked(s);
+      return true;
+    } else {
+      return false;
+    }
+  }
+  // resize the vector, without bounds checking
+  // if the new size is longer than the vector, assign value to each
+  // appended item.
+  FASTFLOAT_CONSTEXPR20
+  void resize_unchecked(size_t new_len, limb value) noexcept {
+    if (new_len > len()) {
+      size_t count = new_len - len();
+      limb *first = data + len();
+      limb *last = first + count;
+      ::std::fill(first, last, value);
+      set_len(new_len);
+    } else {
+      set_len(new_len);
+    }
+  }
+  // try to resize the vector, returning if the vector was resized.
+  FASTFLOAT_CONSTEXPR20 bool try_resize(size_t new_len, limb value) noexcept {
+    if (new_len > capacity()) {
+      return false;
+    } else {
+      resize_unchecked(new_len, value);
+      return true;
+    }
+  }
+  // check if any limbs are non-zero after the given index.
+  // this needs to be done in reverse order, since the index
+  // is relative to the most significant limbs.
+  FASTFLOAT_CONSTEXPR14 bool nonzero(size_t index) const noexcept {
+    while (index < len()) {
+      if (rindex(index) != 0) {
+        return true;
+      }
+      index++;
+    }
+    return false;
+  }
+  // normalize the big integer, so most-significant zero limbs are removed.
+  FASTFLOAT_CONSTEXPR14 void normalize() noexcept {
+    while (len() > 0 && rindex(0) == 0) {
+      length--;
+    }
+  }
+};
+
+fastfloat_really_inline FASTFLOAT_CONSTEXPR14 uint64_t
+empty_hi64(bool &truncated) noexcept {
+  truncated = false;
+  return 0;
+}
+
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 uint64_t
+uint64_hi64(uint64_t r0, bool &truncated) noexcept {
+  truncated = false;
+  int shl = leading_zeroes(r0);
+  return r0 << shl;
+}
+
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 uint64_t
+uint64_hi64(uint64_t r0, uint64_t r1, bool &truncated) noexcept {
+  int shl = leading_zeroes(r0);
+  if (shl == 0) {
+    truncated = r1 != 0;
+    return r0;
+  } else {
+    int shr = 64 - shl;
+    truncated = (r1 << shl) != 0;
+    return (r0 << shl) | (r1 >> shr);
+  }
+}
+
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 uint64_t
+uint32_hi64(uint32_t r0, bool &truncated) noexcept {
+  return uint64_hi64(r0, truncated);
+}
+
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 uint64_t
+uint32_hi64(uint32_t r0, uint32_t r1, bool &truncated) noexcept {
+  uint64_t x0 = r0;
+  uint64_t x1 = r1;
+  return uint64_hi64((x0 << 32) | x1, truncated);
+}
+
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 uint64_t
+uint32_hi64(uint32_t r0, uint32_t r1, uint32_t r2, bool &truncated) noexcept {
+  uint64_t x0 = r0;
+  uint64_t x1 = r1;
+  uint64_t x2 = r2;
+  return uint64_hi64(x0, (x1 << 32) | x2, truncated);
+}
+
+// add two small integers, checking for overflow.
+// we want an efficient operation. for msvc, where
+// we don't have built-in intrinsics, this is still
+// pretty fast.
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 limb
+scalar_add(limb x, limb y, bool &overflow) noexcept {
+  limb z;
+// gcc and clang
+#if defined(__has_builtin)
+#if __has_builtin(__builtin_add_overflow)
+  if (!cpp20_and_in_constexpr()) {
+    overflow = __builtin_add_overflow(x, y, &z);
+    return z;
+  }
+#endif
+#endif
+
+  // generic, this still optimizes correctly on MSVC.
+  z = x + y;
+  overflow = z < x;
+  return z;
+}
+
+// multiply two small integers, getting both the high and low bits.
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 limb
+scalar_mul(limb x, limb y, limb &carry) noexcept {
+#ifdef FASTFLOAT_64BIT_LIMB
+#if defined(__SIZEOF_INT128__)
+  // GCC and clang both define it as an extension.
+  __uint128_t z = __uint128_t(x) * __uint128_t(y) + __uint128_t(carry);
+  carry = limb(z >> limb_bits);
+  return limb(z);
+#else
+  // fallback, no native 128-bit integer multiplication with carry.
+  // on msvc, this optimizes identically, somehow.
+  value128 z = full_multiplication(x, y);
+  bool overflow;
+  z.low = scalar_add(z.low, carry, overflow);
+  z.high += uint64_t(overflow); // cannot overflow
+  carry = z.high;
+  return z.low;
+#endif
+#else
+  uint64_t z = uint64_t(x) * uint64_t(y) + uint64_t(carry);
+  carry = limb(z >> limb_bits);
+  return limb(z);
+#endif
+}
+
+// add scalar value to bigint starting from offset.
+// used in grade school multiplication
+template <uint16_t size>
+inline FASTFLOAT_CONSTEXPR20 bool small_add_from(stackvec<size> &vec, limb y,
+                                                 size_t start) noexcept {
+  size_t index = start;
+  limb carry = y;
+  bool overflow;
+  while (carry != 0 && index < vec.len()) {
+    vec[index] = scalar_add(vec[index], carry, overflow);
+    carry = limb(overflow);
+    index += 1;
+  }
+  if (carry != 0) {
+    FASTFLOAT_TRY(vec.try_push(carry));
+  }
+  return true;
+}
+
+// add scalar value to bigint.
+template <uint16_t size>
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 bool
+small_add(stackvec<size> &vec, limb y) noexcept {
+  return small_add_from(vec, y, 0);
+}
+
+// multiply bigint by scalar value.
+template <uint16_t size>
+inline FASTFLOAT_CONSTEXPR20 bool small_mul(stackvec<size> &vec,
+                                            limb y) noexcept {
+  limb carry = 0;
+  for (size_t index = 0; index < vec.len(); index++) {
+    vec[index] = scalar_mul(vec[index], y, carry);
+  }
+  if (carry != 0) {
+    FASTFLOAT_TRY(vec.try_push(carry));
+  }
+  return true;
+}
+
+// add bigint to bigint starting from index.
+// used in grade school multiplication
+template <uint16_t size>
+FASTFLOAT_CONSTEXPR20 bool large_add_from(stackvec<size> &x, limb_span y,
+                                          size_t start) noexcept {
+  // the effective x buffer is from `xstart..x.len()`, so exit early
+  // if we can't get that current range.
+  if (x.len() < start || y.len() > x.len() - start) {
+    FASTFLOAT_TRY(x.try_resize(y.len() + start, 0));
+  }
+
+  bool carry = false;
+  for (size_t index = 0; index < y.len(); index++) {
+    limb xi = x[index + start];
+    limb yi = y[index];
+    bool c1 = false;
+    bool c2 = false;
+    xi = scalar_add(xi, yi, c1);
+    if (carry) {
+      xi = scalar_add(xi, 1, c2);
+    }
+    x[index + start] = xi;
+    carry = c1 | c2;
+  }
+
+  // handle overflow
+  if (carry) {
+    FASTFLOAT_TRY(small_add_from(x, 1, y.len() + start));
+  }
+  return true;
+}
+
+// add bigint to bigint.
+template <uint16_t size>
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 bool
+large_add_from(stackvec<size> &x, limb_span y) noexcept {
+  return large_add_from(x, y, 0);
+}
+
+// grade-school multiplication algorithm
+template <uint16_t size>
+FASTFLOAT_CONSTEXPR20 bool long_mul(stackvec<size> &x, limb_span y) noexcept {
+  limb_span xs = limb_span(x.data, x.len());
+  stackvec<size> z(xs);
+  limb_span zs = limb_span(z.data, z.len());
+
+  if (y.len() != 0) {
+    limb y0 = y[0];
+    FASTFLOAT_TRY(small_mul(x, y0));
+    for (size_t index = 1; index < y.len(); index++) {
+      limb yi = y[index];
+      stackvec<size> zi;
+      if (yi != 0) {
+        // re-use the same buffer throughout
+        zi.set_len(0);
+        FASTFLOAT_TRY(zi.try_extend(zs));
+        FASTFLOAT_TRY(small_mul(zi, yi));
+        limb_span zis = limb_span(zi.data, zi.len());
+        FASTFLOAT_TRY(large_add_from(x, zis, index));
+      }
+    }
+  }
+
+  x.normalize();
+  return true;
+}
+
+// grade-school multiplication algorithm
+template <uint16_t size>
+FASTFLOAT_CONSTEXPR20 bool large_mul(stackvec<size> &x, limb_span y) noexcept {
+  if (y.len() == 1) {
+    FASTFLOAT_TRY(small_mul(x, y[0]));
+  } else {
+    FASTFLOAT_TRY(long_mul(x, y));
+  }
+  return true;
+}
+
+template <typename = void> struct pow5_tables {
+  static constexpr uint32_t large_step = 135;
+  static constexpr uint64_t small_power_of_5[] = {
+      1UL,
+      5UL,
+      25UL,
+      125UL,
+      625UL,
+      3125UL,
+      15625UL,
+      78125UL,
+      390625UL,
+      1953125UL,
+      9765625UL,
+      48828125UL,
+      244140625UL,
+      1220703125UL,
+      6103515625UL,
+      30517578125UL,
+      152587890625UL,
+      762939453125UL,
+      3814697265625UL,
+      19073486328125UL,
+      95367431640625UL,
+      476837158203125UL,
+      2384185791015625UL,
+      11920928955078125UL,
+      59604644775390625UL,
+      298023223876953125UL,
+      1490116119384765625UL,
+      7450580596923828125UL,
+  };
+#ifdef FASTFLOAT_64BIT_LIMB
+  constexpr static limb large_power_of_5[] = {
+      1414648277510068013UL, 9180637584431281687UL, 4539964771860779200UL,
+      10482974169319127550UL, 198276706040285095UL};
+#else
+  constexpr static limb large_power_of_5[] = {
+      4279965485U, 329373468U,  4020270615U, 2137533757U, 4287402176U,
+      1057042919U, 1071430142U, 2440757623U, 381945767U,  46164893U};
+#endif
+};
+
+template <typename T> constexpr uint32_t pow5_tables<T>::large_step;
+
+template <typename T> constexpr uint64_t pow5_tables<T>::small_power_of_5[];
+
+template <typename T> constexpr limb pow5_tables<T>::large_power_of_5[];
+
+// big integer type. implements a small subset of big integer
+// arithmetic, using simple algorithms since asymptotically
+// faster algorithms are slower for a small number of limbs.
+// all operations assume the big-integer is normalized.
+struct bigint : pow5_tables<> {
+  // storage of the limbs, in little-endian order.
+  stackvec<bigint_limbs> vec;
+
+  FASTFLOAT_CONSTEXPR20 bigint() : vec() {}
+  bigint(const bigint &) = delete;
+  bigint &operator=(const bigint &) = delete;
+  bigint(bigint &&) = delete;
+  bigint &operator=(bigint &&other) = delete;
+
+  FASTFLOAT_CONSTEXPR20 bigint(uint64_t value) : vec() {
+#ifdef FASTFLOAT_64BIT_LIMB
+    vec.push_unchecked(value);
+#else
+    vec.push_unchecked(uint32_t(value));
+    vec.push_unchecked(uint32_t(value >> 32));
+#endif
+    vec.normalize();
+  }
+
+  // get the high 64 bits from the vector, and if bits were truncated.
+  // this is to get the significant digits for the float.
+  FASTFLOAT_CONSTEXPR20 uint64_t hi64(bool &truncated) const noexcept {
+#ifdef FASTFLOAT_64BIT_LIMB
+    if (vec.len() == 0) {
+      return empty_hi64(truncated);
+    } else if (vec.len() == 1) {
+      return uint64_hi64(vec.rindex(0), truncated);
+    } else {
+      uint64_t result = uint64_hi64(vec.rindex(0), vec.rindex(1), truncated);
+      truncated |= vec.nonzero(2);
+      return result;
+    }
+#else
+    if (vec.len() == 0) {
+      return empty_hi64(truncated);
+    } else if (vec.len() == 1) {
+      return uint32_hi64(vec.rindex(0), truncated);
+    } else if (vec.len() == 2) {
+      return uint32_hi64(vec.rindex(0), vec.rindex(1), truncated);
+    } else {
+      uint64_t result =
+          uint32_hi64(vec.rindex(0), vec.rindex(1), vec.rindex(2), truncated);
+      truncated |= vec.nonzero(3);
+      return result;
+    }
+#endif
+  }
+
+  // compare two big integers, returning the large value.
+  // assumes both are normalized. if the return value is
+  // negative, other is larger, if the return value is
+  // positive, this is larger, otherwise they are equal.
+  // the limbs are stored in little-endian order, so we
+  // must compare the limbs in ever order.
+  FASTFLOAT_CONSTEXPR20 int compare(const bigint &other) const noexcept {
+    if (vec.len() > other.vec.len()) {
+      return 1;
+    } else if (vec.len() < other.vec.len()) {
+      return -1;
+    } else {
+      for (size_t index = vec.len(); index > 0; index--) {
+        limb xi = vec[index - 1];
+        limb yi = other.vec[index - 1];
+        if (xi > yi) {
+          return 1;
+        } else if (xi < yi) {
+          return -1;
+        }
+      }
+      return 0;
+    }
+  }
+
+  // shift left each limb n bits, carrying over to the new limb
+  // returns true if we were able to shift all the digits.
+  FASTFLOAT_CONSTEXPR20 bool shl_bits(size_t n) noexcept {
+    // Internally, for each item, we shift left by n, and add the previous
+    // right shifted limb-bits.
+    // For example, we transform (for u8) shifted left 2, to:
+    //      b10100100 b01000010
+    //      b10 b10010001 b00001000
+    FASTFLOAT_DEBUG_ASSERT(n != 0);
+    FASTFLOAT_DEBUG_ASSERT(n < sizeof(limb) * 8);
+
+    size_t shl = n;
+    size_t shr = limb_bits - shl;
+    limb prev = 0;
+    for (size_t index = 0; index < vec.len(); index++) {
+      limb xi = vec[index];
+      vec[index] = (xi << shl) | (prev >> shr);
+      prev = xi;
+    }
+
+    limb carry = prev >> shr;
+    if (carry != 0) {
+      return vec.try_push(carry);
+    }
+    return true;
+  }
+
+  // move the limbs left by `n` limbs.
+  FASTFLOAT_CONSTEXPR20 bool shl_limbs(size_t n) noexcept {
+    FASTFLOAT_DEBUG_ASSERT(n != 0);
+    if (n + vec.len() > vec.capacity()) {
+      return false;
+    } else if (!vec.is_empty()) {
+      // move limbs
+      limb *dst = vec.data + n;
+      const limb *src = vec.data;
+      std::copy_backward(src, src + vec.len(), dst + vec.len());
+      // fill in empty limbs
+      limb *first = vec.data;
+      limb *last = first + n;
+      ::std::fill(first, last, 0);
+      vec.set_len(n + vec.len());
+      return true;
+    } else {
+      return true;
+    }
+  }
+
+  // move the limbs left by `n` bits.
+  FASTFLOAT_CONSTEXPR20 bool shl(size_t n) noexcept {
+    size_t rem = n % limb_bits;
+    size_t div = n / limb_bits;
+    if (rem != 0) {
+      FASTFLOAT_TRY(shl_bits(rem));
+    }
+    if (div != 0) {
+      FASTFLOAT_TRY(shl_limbs(div));
+    }
+    return true;
+  }
+
+  // get the number of leading zeros in the bigint.
+  FASTFLOAT_CONSTEXPR20 int ctlz() const noexcept {
+    if (vec.is_empty()) {
+      return 0;
+    } else {
+#ifdef FASTFLOAT_64BIT_LIMB
+      return leading_zeroes(vec.rindex(0));
+#else
+      // no use defining a specialized leading_zeroes for a 32-bit type.
+      uint64_t r0 = vec.rindex(0);
+      return leading_zeroes(r0 << 32);
+#endif
+    }
+  }
+
+  // get the number of bits in the bigint.
+  FASTFLOAT_CONSTEXPR20 int bit_length() const noexcept {
+    int lz = ctlz();
+    return int(limb_bits * vec.len()) - lz;
+  }
+
+  FASTFLOAT_CONSTEXPR20 bool mul(limb y) noexcept { return small_mul(vec, y); }
+
+  FASTFLOAT_CONSTEXPR20 bool add(limb y) noexcept { return small_add(vec, y); }
+
+  // multiply as if by 2 raised to a power.
+  FASTFLOAT_CONSTEXPR20 bool pow2(uint32_t exp) noexcept { return shl(exp); }
+
+  // multiply as if by 5 raised to a power.
+  FASTFLOAT_CONSTEXPR20 bool pow5(uint32_t exp) noexcept {
+    // multiply by a power of 5
+    size_t large_length = sizeof(large_power_of_5) / sizeof(limb);
+    limb_span large = limb_span(large_power_of_5, large_length);
+    while (exp >= large_step) {
+      FASTFLOAT_TRY(large_mul(vec, large));
+      exp -= large_step;
+    }
+#ifdef FASTFLOAT_64BIT_LIMB
+    uint32_t small_step = 27;
+    limb max_native = 7450580596923828125UL;
+#else
+    uint32_t small_step = 13;
+    limb max_native = 1220703125U;
+#endif
+    while (exp >= small_step) {
+      FASTFLOAT_TRY(small_mul(vec, max_native));
+      exp -= small_step;
+    }
+    if (exp != 0) {
+      // Work around clang bug https://godbolt.org/z/zedh7rrhc
+      // This is similar to https://github.com/llvm/llvm-project/issues/47746,
+      // except the workaround described there don't work here
+      FASTFLOAT_TRY(small_mul(
+          vec, limb(((void)small_power_of_5[0], small_power_of_5[exp]))));
+    }
+
+    return true;
+  }
+
+  // multiply as if by 10 raised to a power.
+  FASTFLOAT_CONSTEXPR20 bool pow10(uint32_t exp) noexcept {
+    FASTFLOAT_TRY(pow5(exp));
+    return pow2(exp);
+  }
+};
+
+} // namespace fast_float
+
+#endif
+
+#ifndef FASTFLOAT_DIGIT_COMPARISON_H
+#define FASTFLOAT_DIGIT_COMPARISON_H
+
+#include <algorithm>
+#include <cstdint>
+#include <cstring>
+#include <iterator>
+
+
+namespace fast_float {
+
+// 1e0 to 1e19
+constexpr static uint64_t powers_of_ten_uint64[] = {1UL,
+                                                    10UL,
+                                                    100UL,
+                                                    1000UL,
+                                                    10000UL,
+                                                    100000UL,
+                                                    1000000UL,
+                                                    10000000UL,
+                                                    100000000UL,
+                                                    1000000000UL,
+                                                    10000000000UL,
+                                                    100000000000UL,
+                                                    1000000000000UL,
+                                                    10000000000000UL,
+                                                    100000000000000UL,
+                                                    1000000000000000UL,
+                                                    10000000000000000UL,
+                                                    100000000000000000UL,
+                                                    1000000000000000000UL,
+                                                    10000000000000000000UL};
+
+// calculate the exponent, in scientific notation, of the number.
+// this algorithm is not even close to optimized, but it has no practical
+// effect on performance: in order to have a faster algorithm, we'd need
+// to slow down performance for faster algorithms, and this is still fast.
+template <typename UC>
+fastfloat_really_inline FASTFLOAT_CONSTEXPR14 int32_t
+scientific_exponent(parsed_number_string_t<UC> &num) noexcept {
+  uint64_t mantissa = num.mantissa;
+  int32_t exponent = int32_t(num.exponent);
+  while (mantissa >= 10000) {
+    mantissa /= 10000;
+    exponent += 4;
+  }
+  while (mantissa >= 100) {
+    mantissa /= 100;
+    exponent += 2;
+  }
+  while (mantissa >= 10) {
+    mantissa /= 10;
+    exponent += 1;
+  }
+  return exponent;
+}
+
+// this converts a native floating-point number to an extended-precision float.
+template <typename T>
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 adjusted_mantissa
+to_extended(T value) noexcept {
+  using equiv_uint = typename binary_format<T>::equiv_uint;
+  constexpr equiv_uint exponent_mask = binary_format<T>::exponent_mask();
+  constexpr equiv_uint mantissa_mask = binary_format<T>::mantissa_mask();
+  constexpr equiv_uint hidden_bit_mask = binary_format<T>::hidden_bit_mask();
+
+  adjusted_mantissa am;
+  int32_t bias = binary_format<T>::mantissa_explicit_bits() -
+                 binary_format<T>::minimum_exponent();
+  equiv_uint bits;
+#if FASTFLOAT_HAS_BIT_CAST
+  bits = std::bit_cast<equiv_uint>(value);
+#else
+  ::memcpy(&bits, &value, sizeof(T));
+#endif
+  if ((bits & exponent_mask) == 0) {
+    // denormal
+    am.power2 = 1 - bias;
+    am.mantissa = bits & mantissa_mask;
+  } else {
+    // normal
+    am.power2 = int32_t((bits & exponent_mask) >>
+                        binary_format<T>::mantissa_explicit_bits());
+    am.power2 -= bias;
+    am.mantissa = (bits & mantissa_mask) | hidden_bit_mask;
+  }
+
+  return am;
+}
+
+// get the extended precision value of the halfway point between b and b+u.
+// we are given a native float that represents b, so we need to adjust it
+// halfway between b and b+u.
+template <typename T>
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 adjusted_mantissa
+to_extended_halfway(T value) noexcept {
+  adjusted_mantissa am = to_extended(value);
+  am.mantissa <<= 1;
+  am.mantissa += 1;
+  am.power2 -= 1;
+  return am;
+}
+
+// round an extended-precision float to the nearest machine float.
+template <typename T, typename callback>
+fastfloat_really_inline FASTFLOAT_CONSTEXPR14 void round(adjusted_mantissa &am,
+                                                         callback cb) noexcept {
+  int32_t mantissa_shift = 64 - binary_format<T>::mantissa_explicit_bits() - 1;
+  if (-am.power2 >= mantissa_shift) {
+    // have a denormal float
+    int32_t shift = -am.power2 + 1;
+    cb(am, std::min<int32_t>(shift, 64));
+    // check for round-up: if rounding-nearest carried us to the hidden bit.
+    am.power2 = (am.mantissa <
+                 (uint64_t(1) << binary_format<T>::mantissa_explicit_bits()))
+                    ? 0
+                    : 1;
+    return;
+  }
+
+  // have a normal float, use the default shift.
+  cb(am, mantissa_shift);
+
+  // check for carry
+  if (am.mantissa >=
+      (uint64_t(2) << binary_format<T>::mantissa_explicit_bits())) {
+    am.mantissa = (uint64_t(1) << binary_format<T>::mantissa_explicit_bits());
+    am.power2++;
+  }
+
+  // check for infinite: we could have carried to an infinite power
+  am.mantissa &= ~(uint64_t(1) << binary_format<T>::mantissa_explicit_bits());
+  if (am.power2 >= binary_format<T>::infinite_power()) {
+    am.power2 = binary_format<T>::infinite_power();
+    am.mantissa = 0;
+  }
+}
+
+template <typename callback>
+fastfloat_really_inline FASTFLOAT_CONSTEXPR14 void
+round_nearest_tie_even(adjusted_mantissa &am, int32_t shift,
+                       callback cb) noexcept {
+  const uint64_t mask = (shift == 64) ? UINT64_MAX : (uint64_t(1) << shift) - 1;
+  const uint64_t halfway = (shift == 0) ? 0 : uint64_t(1) << (shift - 1);
+  uint64_t truncated_bits = am.mantissa & mask;
+  bool is_above = truncated_bits > halfway;
+  bool is_halfway = truncated_bits == halfway;
+
+  // shift digits into position
+  if (shift == 64) {
+    am.mantissa = 0;
+  } else {
+    am.mantissa >>= shift;
+  }
+  am.power2 += shift;
+
+  bool is_odd = (am.mantissa & 1) == 1;
+  am.mantissa += uint64_t(cb(is_odd, is_halfway, is_above));
+}
+
+fastfloat_really_inline FASTFLOAT_CONSTEXPR14 void
+round_down(adjusted_mantissa &am, int32_t shift) noexcept {
+  if (shift == 64) {
+    am.mantissa = 0;
+  } else {
+    am.mantissa >>= shift;
+  }
+  am.power2 += shift;
+}
+template <typename UC>
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 void
+skip_zeros(UC const *&first, UC const *last) noexcept {
+  uint64_t val;
+  while (!cpp20_and_in_constexpr() &&
+         std::distance(first, last) >= int_cmp_len<UC>()) {
+    ::memcpy(&val, first, sizeof(uint64_t));
+    if (val != int_cmp_zeros<UC>()) {
+      break;
+    }
+    first += int_cmp_len<UC>();
+  }
+  while (first != last) {
+    if (*first != UC('0')) {
+      break;
+    }
+    first++;
+  }
+}
+
+// determine if any non-zero digits were truncated.
+// all characters must be valid digits.
+template <typename UC>
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 bool
+is_truncated(UC const *first, UC const *last) noexcept {
+  // do 8-bit optimizations, can just compare to 8 literal 0s.
+  uint64_t val;
+  while (!cpp20_and_in_constexpr() &&
+         std::distance(first, last) >= int_cmp_len<UC>()) {
+    ::memcpy(&val, first, sizeof(uint64_t));
+    if (val != int_cmp_zeros<UC>()) {
+      return true;
+    }
+    first += int_cmp_len<UC>();
+  }
+  while (first != last) {
+    if (*first != UC('0')) {
+      return true;
+    }
+    ++first;
+  }
+  return false;
+}
+template <typename UC>
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 bool
+is_truncated(span<const UC> s) noexcept {
+  return is_truncated(s.ptr, s.ptr + s.len());
+}
+
+template <typename UC>
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 void
+parse_eight_digits(const UC *&p, limb &value, size_t &counter,
+                   size_t &count) noexcept {
+  value = value * 100000000 + parse_eight_digits_unrolled(p);
+  p += 8;
+  counter += 8;
+  count += 8;
+}
+
+template <typename UC>
+fastfloat_really_inline FASTFLOAT_CONSTEXPR14 void
+parse_one_digit(UC const *&p, limb &value, size_t &counter,
+                size_t &count) noexcept {
+  value = value * 10 + limb(*p - UC('0'));
+  p++;
+  counter++;
+  count++;
+}
+
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 void
+add_native(bigint &big, limb power, limb value) noexcept {
+  big.mul(power);
+  big.add(value);
+}
+
+fastfloat_really_inline FASTFLOAT_CONSTEXPR20 void
+round_up_bigint(bigint &big, size_t &count) noexcept {
+  // need to round-up the digits, but need to avoid rounding
+  // ....9999 to ...10000, which could cause a false halfway point.
+  add_native(big, 10, 1);
+  count++;
+}
+
+// parse the significant digits into a big integer
+template <typename UC>
+inline FASTFLOAT_CONSTEXPR20 void
+parse_mantissa(bigint &result, parsed_number_string_t<UC> &num,
+               size_t max_digits, size_t &digits) noexcept {
+  // try to minimize the number of big integer and scalar multiplication.
+  // therefore, try to parse 8 digits at a time, and multiply by the largest
+  // scalar value (9 or 19 digits) for each step.
+  size_t counter = 0;
+  digits = 0;
+  limb value = 0;
+#ifdef FASTFLOAT_64BIT_LIMB
+  size_t step = 19;
+#else
+  size_t step = 9;
+#endif
+
+  // process all integer digits.
+  UC const *p = num.integer.ptr;
+  UC const *pend = p + num.integer.len();
+  skip_zeros(p, pend);
+  // process all digits, in increments of step per loop
+  while (p != pend) {
+    while ((std::distance(p, pend) >= 8) && (step - counter >= 8) &&
+           (max_digits - digits >= 8)) {
+      parse_eight_digits(p, value, counter, digits);
+    }
+    while (counter < step && p != pend && digits < max_digits) {
+      parse_one_digit(p, value, counter, digits);
+    }
+    if (digits == max_digits) {
+      // add the temporary value, then check if we've truncated any digits
+      add_native(result, limb(powers_of_ten_uint64[counter]), value);
+      bool truncated = is_truncated(p, pend);
+      if (num.fraction.ptr != nullptr) {
+        truncated |= is_truncated(num.fraction);
+      }
+      if (truncated) {
+        round_up_bigint(result, digits);
+      }
+      return;
+    } else {
+      add_native(result, limb(powers_of_ten_uint64[counter]), value);
+      counter = 0;
+      value = 0;
+    }
+  }
+
+  // add our fraction digits, if they're available.
+  if (num.fraction.ptr != nullptr) {
+    p = num.fraction.ptr;
+    pend = p + num.fraction.len();
+    if (digits == 0) {
+      skip_zeros(p, pend);
+    }
+    // process all digits, in increments of step per loop
+    while (p != pend) {
+      while ((std::distance(p, pend) >= 8) && (step - counter >= 8) &&
+             (max_digits - digits >= 8)) {
+        parse_eight_digits(p, value, counter, digits);
+      }
+      while (counter < step && p != pend && digits < max_digits) {
+        parse_one_digit(p, value, counter, digits);
+      }
+      if (digits == max_digits) {
+        // add the temporary value, then check if we've truncated any digits
+        add_native(result, limb(powers_of_ten_uint64[counter]), value);
+        bool truncated = is_truncated(p, pend);
+        if (truncated) {
+          round_up_bigint(result, digits);
+        }
+        return;
+      } else {
+        add_native(result, limb(powers_of_ten_uint64[counter]), value);
+        counter = 0;
+        value = 0;
+      }
+    }
+  }
+
+  if (counter != 0) {
+    add_native(result, limb(powers_of_ten_uint64[counter]), value);
+  }
+}
+
+template <typename T>
+inline FASTFLOAT_CONSTEXPR20 adjusted_mantissa
+positive_digit_comp(bigint &bigmant, int32_t exponent) noexcept {
+  FASTFLOAT_ASSERT(bigmant.pow10(uint32_t(exponent)));
+  adjusted_mantissa answer;
+  bool truncated;
+  answer.mantissa = bigmant.hi64(truncated);
+  int bias = binary_format<T>::mantissa_explicit_bits() -
+             binary_format<T>::minimum_exponent();
+  answer.power2 = bigmant.bit_length() - 64 + bias;
+
+  round<T>(answer, [truncated](adjusted_mantissa &a, int32_t shift) {
+    round_nearest_tie_even(
+        a, shift,
+        [truncated](bool is_odd, bool is_halfway, bool is_above) -> bool {
+          return is_above || (is_halfway && truncated) ||
+                 (is_odd && is_halfway);
+        });
+  });
+
+  return answer;
+}
+
+// the scaling here is quite simple: we have, for the real digits `m * 10^e`,
+// and for the theoretical digits `n * 2^f`. Since `e` is always negative,
+// to scale them identically, we do `n * 2^f * 5^-f`, so we now have `m * 2^e`.
+// we then need to scale by `2^(f- e)`, and then the two significant digits
+// are of the same magnitude.
+template <typename T>
+inline FASTFLOAT_CONSTEXPR20 adjusted_mantissa negative_digit_comp(
+    bigint &bigmant, adjusted_mantissa am, int32_t exponent) noexcept {
+  bigint &real_digits = bigmant;
+  int32_t real_exp = exponent;
+
+  // get the value of `b`, rounded down, and get a bigint representation of b+h
+  adjusted_mantissa am_b = am;
+  // gcc7 buf: use a lambda to remove the noexcept qualifier bug with
+  // -Wnoexcept-type.
+  round<T>(am_b,
+           [](adjusted_mantissa &a, int32_t shift) { round_down(a, shift); });
+  T b;
+  to_float(false, am_b, b);
+  adjusted_mantissa theor = to_extended_halfway(b);
+  bigint theor_digits(theor.mantissa);
+  int32_t theor_exp = theor.power2;
+
+  // scale real digits and theor digits to be same power.
+  int32_t pow2_exp = theor_exp - real_exp;
+  uint32_t pow5_exp = uint32_t(-real_exp);
+  if (pow5_exp != 0) {
+    FASTFLOAT_ASSERT(theor_digits.pow5(pow5_exp));
+  }
+  if (pow2_exp > 0) {
+    FASTFLOAT_ASSERT(theor_digits.pow2(uint32_t(pow2_exp)));
+  } else if (pow2_exp < 0) {
+    FASTFLOAT_ASSERT(real_digits.pow2(uint32_t(-pow2_exp)));
+  }
+
+  // compare digits, and use it to director rounding
+  int ord = real_digits.compare(theor_digits);
+  adjusted_mantissa answer = am;
+  round<T>(answer, [ord](adjusted_mantissa &a, int32_t shift) {
+    round_nearest_tie_even(
+        a, shift, [ord](bool is_odd, bool _, bool __) -> bool {
+          (void)_;  // not needed, since we've done our comparison
+          (void)__; // not needed, since we've done our comparison
+          if (ord > 0) {
+            return true;
+          } else if (ord < 0) {
+            return false;
+          } else {
+            return is_odd;
+          }
+        });
+  });
+
+  return answer;
+}
+
+// parse the significant digits as a big integer to unambiguously round the
+// the significant digits. here, we are trying to determine how to round
+// an extended float representation close to `b+h`, halfway between `b`
+// (the float rounded-down) and `b+u`, the next positive float. this
+// algorithm is always correct, and uses one of two approaches. when
+// the exponent is positive relative to the significant digits (such as
+// 1234), we create a big-integer representation, get the high 64-bits,
+// determine if any lower bits are truncated, and use that to direct
+// rounding. in case of a negative exponent relative to the significant
+// digits (such as 1.2345), we create a theoretical representation of
+// `b` as a big-integer type, scaled to the same binary exponent as
+// the actual digits. we then compare the big integer representations
+// of both, and use that to direct rounding.
+template <typename T, typename UC>
+inline FASTFLOAT_CONSTEXPR20 adjusted_mantissa
+digit_comp(parsed_number_string_t<UC> &num, adjusted_mantissa am) noexcept {
+  // remove the invalid exponent bias
+  am.power2 -= invalid_am_bias;
+
+  int32_t sci_exp = scientific_exponent(num);
+  size_t max_digits = binary_format<T>::max_digits();
+  size_t digits = 0;
+  bigint bigmant;
+  parse_mantissa(bigmant, num, max_digits, digits);
+  // can't underflow, since digits is at most max_digits.
+  int32_t exponent = sci_exp + 1 - int32_t(digits);
+  if (exponent >= 0) {
+    return positive_digit_comp<T>(bigmant, exponent);
+  } else {
+    return negative_digit_comp<T>(bigmant, am, exponent);
+  }
+}
+
+} // namespace fast_float
+
+#endif
+
+#ifndef FASTFLOAT_PARSE_NUMBER_H
+#define FASTFLOAT_PARSE_NUMBER_H
+
+
+#include <cmath>
+#include <cstring>
+#include <limits>
+#include <system_error>
+namespace fast_float {
+
+namespace detail {
+/**
+ * Special case +inf, -inf, nan, infinity, -infinity.
+ * The case comparisons could be made much faster given that we know that the
+ * strings a null-free and fixed.
+ **/
+template <typename T, typename UC>
+from_chars_result_t<UC> FASTFLOAT_CONSTEXPR14 parse_infnan(UC const *first,
+                                                           UC const *last,
+                                                           T &value) noexcept {
+  from_chars_result_t<UC> answer{};
+  answer.ptr = first;
+  answer.ec = std::errc(); // be optimistic
+  bool minusSign = false;
+  if (*first ==
+      UC('-')) { // assume first < last, so dereference without checks;
+                 // C++17 20.19.3.(7.1) explicitly forbids '+' here
+    minusSign = true;
+    ++first;
+  }
+#ifdef FASTFLOAT_ALLOWS_LEADING_PLUS // disabled by default
+  if (*first == UC('+')) {
+    ++first;
+  }
+#endif
+  if (last - first >= 3) {
+    if (fastfloat_strncasecmp(first, str_const_nan<UC>(), 3)) {
+      answer.ptr = (first += 3);
+      value = minusSign ? -std::numeric_limits<T>::quiet_NaN()
+                        : std::numeric_limits<T>::quiet_NaN();
+      // Check for possible nan(n-char-seq-opt), C++17 20.19.3.7,
+      // C11 7.20.1.3.3. At least MSVC produces nan(ind) and nan(snan).
+      if (first != last && *first == UC('(')) {
+        for (UC const *ptr = first + 1; ptr != last; ++ptr) {
+          if (*ptr == UC(')')) {
+            answer.ptr = ptr + 1; // valid nan(n-char-seq-opt)
+            break;
+          } else if (!((UC('a') <= *ptr && *ptr <= UC('z')) ||
+                       (UC('A') <= *ptr && *ptr <= UC('Z')) ||
+                       (UC('0') <= *ptr && *ptr <= UC('9')) || *ptr == UC('_')))
+            break; // forbidden char, not nan(n-char-seq-opt)
+        }
+      }
+      return answer;
+    }
+    if (fastfloat_strncasecmp(first, str_const_inf<UC>(), 3)) {
+      if ((last - first >= 8) &&
+          fastfloat_strncasecmp(first + 3, str_const_inf<UC>() + 3, 5)) {
+        answer.ptr = first + 8;
+      } else {
+        answer.ptr = first + 3;
+      }
+      value = minusSign ? -std::numeric_limits<T>::infinity()
+                        : std::numeric_limits<T>::infinity();
+      return answer;
+    }
+  }
+  answer.ec = std::errc::invalid_argument;
+  return answer;
+}
+
+/**
+ * Returns true if the floating-pointing rounding mode is to 'nearest'.
+ * It is the default on most system. This function is meant to be inexpensive.
+ * Credit : @mwalcott3
+ */
+fastfloat_really_inline bool rounds_to_nearest() noexcept {
+  // https://lemire.me/blog/2020/06/26/gcc-not-nearest/
+#if (FLT_EVAL_METHOD != 1) && (FLT_EVAL_METHOD != 0)
+  return false;
+#endif
+  // See
+  // A fast function to check your floating-point rounding mode
+  // https://lemire.me/blog/2022/11/16/a-fast-function-to-check-your-floating-point-rounding-mode/
+  //
+  // This function is meant to be equivalent to :
+  // prior: #include <cfenv>
+  //  return fegetround() == FE_TONEAREST;
+  // However, it is expected to be much faster than the fegetround()
+  // function call.
+  //
+  // The volatile keywoard prevents the compiler from computing the function
+  // at compile-time.
+  // There might be other ways to prevent compile-time optimizations (e.g.,
+  // asm). The value does not need to be std::numeric_limits<float>::min(), any
+  // small value so that 1 + x should round to 1 would do (after accounting for
+  // excess precision, as in 387 instructions).
+  static volatile float fmin = std::numeric_limits<float>::min();
+  float fmini = fmin; // we copy it so that it gets loaded at most once.
+//
+// Explanation:
+// Only when fegetround() == FE_TONEAREST do we have that
+// fmin + 1.0f == 1.0f - fmin.
+//
+// FE_UPWARD:
+//  fmin + 1.0f > 1
+//  1.0f - fmin == 1
+//
+// FE_DOWNWARD or  FE_TOWARDZERO:
+//  fmin + 1.0f == 1
+//  1.0f - fmin < 1
+//
+// Note: This may fail to be accurate if fast-math has been
+// enabled, as rounding conventions may not apply.
+#ifdef FASTFLOAT_VISUAL_STUDIO
+#pragma warning(push)
+//  todo: is there a VS warning?
+//  see
+//  https://stackoverflow.com/questions/46079446/is-there-a-warning-for-floating-point-equality-checking-in-visual-studio-2013
+#elif defined(__clang__)
+#pragma clang diagnostic push
+#pragma clang diagnostic ignored "-Wfloat-equal"
+#elif defined(__GNUC__)
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wfloat-equal"
+#endif
+  return (fmini + 1.0f == 1.0f - fmini);
+#ifdef FASTFLOAT_VISUAL_STUDIO
+#pragma warning(pop)
+#elif defined(__clang__)
+#pragma clang diagnostic pop
+#elif defined(__GNUC__)
+#pragma GCC diagnostic pop
+#endif
+}
+
+} // namespace detail
+
+template <typename T> struct from_chars_caller {
+  template <typename UC>
+  FASTFLOAT_CONSTEXPR20 static from_chars_result_t<UC>
+  call(UC const *first, UC const *last, T &value,
+       parse_options_t<UC> options) noexcept {
+    return from_chars_advanced(first, last, value, options);
+  }
+};
+
+#if __STDCPP_FLOAT32_T__ == 1
+template <> struct from_chars_caller<std::float32_t> {
+  template <typename UC>
+  FASTFLOAT_CONSTEXPR20 static from_chars_result_t<UC>
+  call(UC const *first, UC const *last, std::float32_t &value,
+       parse_options_t<UC> options) noexcept {
+    // if std::float32_t is defined, and we are in C++23 mode; macro set for
+    // float32; set value to float due to equivalence between float and
+    // float32_t
+    float val;
+    auto ret = from_chars_advanced(first, last, val, options);
+    value = val;
+    return ret;
+  }
+};
+#endif
+
+#if __STDCPP_FLOAT64_T__ == 1
+template <> struct from_chars_caller<std::float64_t> {
+  template <typename UC>
+  FASTFLOAT_CONSTEXPR20 static from_chars_result_t<UC>
+  call(UC const *first, UC const *last, std::float64_t &value,
+       parse_options_t<UC> options) noexcept {
+    // if std::float64_t is defined, and we are in C++23 mode; macro set for
+    // float64; set value as double due to equivalence between double and
+    // float64_t
+    double val;
+    auto ret = from_chars_advanced(first, last, val, options);
+    value = val;
+    return ret;
+  }
+};
+#endif
+
+template <typename T, typename UC, typename>
+FASTFLOAT_CONSTEXPR20 from_chars_result_t<UC>
+from_chars(UC const *first, UC const *last, T &value,
+           chars_format fmt /*= chars_format::general*/) noexcept {
+  return from_chars_caller<T>::call(first, last, value,
+                                    parse_options_t<UC>(fmt));
+}
+
+/**
+ * This function overload takes parsed_number_string_t structure that is created
+ * and populated either by from_chars_advanced function taking chars range and
+ * parsing options or other parsing custom function implemented by user.
+ */
+template <typename T, typename UC>
+FASTFLOAT_CONSTEXPR20 from_chars_result_t<UC>
+from_chars_advanced(parsed_number_string_t<UC> &pns, T &value) noexcept {
+
+  static_assert(is_supported_float_type<T>(),
+                "only some floating-point types are supported");
+  static_assert(is_supported_char_type<UC>(),
+                "only char, wchar_t, char16_t and char32_t are supported");
+
+  from_chars_result_t<UC> answer;
+
+  answer.ec = std::errc(); // be optimistic
+  answer.ptr = pns.lastmatch;
+  // The implementation of the Clinger's fast path is convoluted because
+  // we want round-to-nearest in all cases, irrespective of the rounding mode
+  // selected on the thread.
+  // We proceed optimistically, assuming that detail::rounds_to_nearest()
+  // returns true.
+  if (binary_format<T>::min_exponent_fast_path() <= pns.exponent &&
+      pns.exponent <= binary_format<T>::max_exponent_fast_path() &&
+      !pns.too_many_digits) {
+    // Unfortunately, the conventional Clinger's fast path is only possible
+    // when the system rounds to the nearest float.
+    //
+    // We expect the next branch to almost always be selected.
+    // We could check it first (before the previous branch), but
+    // there might be performance advantages at having the check
+    // be last.
+    if (!cpp20_and_in_constexpr() && detail::rounds_to_nearest()) {
+      // We have that fegetround() == FE_TONEAREST.
+      // Next is Clinger's fast path.
+      if (pns.mantissa <= binary_format<T>::max_mantissa_fast_path()) {
+        value = T(pns.mantissa);
+        if (pns.exponent < 0) {
+          value = value / binary_format<T>::exact_power_of_ten(-pns.exponent);
+        } else {
+          value = value * binary_format<T>::exact_power_of_ten(pns.exponent);
+        }
+        if (pns.negative) {
+          value = -value;
+        }
+        return answer;
+      }
+    } else {
+      // We do not have that fegetround() == FE_TONEAREST.
+      // Next is a modified Clinger's fast path, inspired by Jakub Jelínek's
+      // proposal
+      if (pns.exponent >= 0 &&
+          pns.mantissa <=
+              binary_format<T>::max_mantissa_fast_path(pns.exponent)) {
+#if defined(__clang__) || defined(FASTFLOAT_32BIT)
+        // Clang may map 0 to -0.0 when fegetround() == FE_DOWNWARD
+        if (pns.mantissa == 0) {
+          value = pns.negative ? T(-0.) : T(0.);
+          return answer;
+        }
+#endif
+        value = T(pns.mantissa) *
+                binary_format<T>::exact_power_of_ten(pns.exponent);
+        if (pns.negative) {
+          value = -value;
+        }
+        return answer;
+      }
+    }
+  }
+  adjusted_mantissa am =
+      compute_float<binary_format<T>>(pns.exponent, pns.mantissa);
+  if (pns.too_many_digits && am.power2 >= 0) {
+    if (am != compute_float<binary_format<T>>(pns.exponent, pns.mantissa + 1)) {
+      am = compute_error<binary_format<T>>(pns.exponent, pns.mantissa);
+    }
+  }
+  // If we called compute_float<binary_format<T>>(pns.exponent, pns.mantissa)
+  // and we have an invalid power (am.power2 < 0), then we need to go the long
+  // way around again. This is very uncommon.
+  if (am.power2 < 0) {
+    am = digit_comp<T>(pns, am);
+  }
+  to_float(pns.negative, am, value);
+  // Test for over/underflow.
+  if ((pns.mantissa != 0 && am.mantissa == 0 && am.power2 == 0) ||
+      am.power2 == binary_format<T>::infinite_power()) {
+    answer.ec = std::errc::result_out_of_range;
+  }
+  return answer;
+}
+
+template <typename T, typename UC>
+FASTFLOAT_CONSTEXPR20 from_chars_result_t<UC>
+from_chars_advanced(UC const *first, UC const *last, T &value,
+                    parse_options_t<UC> options) noexcept {
+
+  static_assert(is_supported_float_type<T>(),
+                "only some floating-point types are supported");
+  static_assert(is_supported_char_type<UC>(),
+                "only char, wchar_t, char16_t and char32_t are supported");
+
+  from_chars_result_t<UC> answer;
+#ifdef FASTFLOAT_SKIP_WHITE_SPACE // disabled by default
+  while ((first != last) && fast_float::is_space(uint8_t(*first))) {
+    first++;
+  }
+#endif
+  if (first == last) {
+    answer.ec = std::errc::invalid_argument;
+    answer.ptr = first;
+    return answer;
+  }
+  parsed_number_string_t<UC> pns =
+      parse_number_string<UC>(first, last, options);
+  if (!pns.valid) {
+    if (options.format & chars_format::no_infnan) {
+      answer.ec = std::errc::invalid_argument;
+      answer.ptr = first;
+      return answer;
+    } else {
+      return detail::parse_infnan(first, last, value);
+    }
+  }
+
+  // call overload that takes parsed_number_string_t directly.
+  return from_chars_advanced(pns, value);
+}
+
+template <typename T, typename UC, typename>
+FASTFLOAT_CONSTEXPR20 from_chars_result_t<UC>
+from_chars(UC const *first, UC const *last, T &value, int base) noexcept {
+  static_assert(is_supported_char_type<UC>(),
+                "only char, wchar_t, char16_t and char32_t are supported");
+
+  from_chars_result_t<UC> answer;
+#ifdef FASTFLOAT_SKIP_WHITE_SPACE // disabled by default
+  while ((first != last) && fast_float::is_space(uint8_t(*first))) {
+    first++;
+  }
+#endif
+  if (first == last || base < 2 || base > 36) {
+    answer.ec = std::errc::invalid_argument;
+    answer.ptr = first;
+    return answer;
+  }
+  return parse_int_string(first, last, value, base);
+}
+
+} // namespace fast_float
+
+#endif
+
diff --git a/deps/fast_float/fast_float_strtod.cpp b/deps/fast_float/fast_float_strtod.cpp
new file mode 100644
index 00000000000..7f4235c7ebc
--- /dev/null
+++ b/deps/fast_float/fast_float_strtod.cpp
@@ -0,0 +1,32 @@
+#include "fast_float.h"
+#include <iostream>
+#include <string>
+#include <system_error>
+#include <cerrno>
+
+/* Convert NPTR to a double using the fast_float library.
+ *
+ * This function behaves similarly to the standard strtod function, converting
+ * the initial portion of the string pointed to by `nptr` to a `double` value,
+ * using the fast_float library for high performance. If the conversion fails,
+ * errno is set to EINVAL error code.
+ *
+ * @param nptr   A pointer to the null-terminated byte string to be interpreted.
+ * @param endptr A pointer to a pointer to character. If `endptr` is not NULL,
+ *               it will point to the character after the last character used
+ *               in the conversion.
+ * @return       The converted value as a double. If no valid conversion could
+ *               be performed, returns 0.0.
+ * If ENDPTR is not NULL, a pointer to the character after the last one used
+ * in the number is put in *ENDPTR.  */
+extern "C" double fast_float_strtod(const char *nptr, char **endptr) {
+  double result = 0.0;
+  auto answer = fast_float::from_chars(nptr, nptr + strlen(nptr), result);
+  if (answer.ec != std::errc()) {
+    errno = EINVAL;  // Fallback to  for other errors
+  }
+  if (endptr != NULL) {
+    *endptr = (char *)answer.ptr;
+  }
+  return result;
+}
diff --git a/deps/fast_float/fast_float_strtod.h b/deps/fast_float/fast_float_strtod.h
new file mode 100644
index 00000000000..1755076a1d8
--- /dev/null
+++ b/deps/fast_float/fast_float_strtod.h
@@ -0,0 +1,15 @@
+
+#ifndef __FAST_FLOAT_STRTOD_H__
+#define __FAST_FLOAT_STRTOD_H__
+
+#if defined(__cplusplus)
+extern "C"
+{
+#endif
+    double fast_float_strtod(const char *in, char **out);
+
+#if defined(__cplusplus)
+}
+#endif
+
+#endif /* __FAST_FLOAT_STRTOD_H__ */
diff --git a/src/Makefile b/src/Makefile
index cc84d09ad76..b9890898896 100644
--- a/src/Makefile
+++ b/src/Makefile
@@ -34,7 +34,7 @@ endif
 ifneq ($(OPTIMIZATION),-O0)
 	OPTIMIZATION+=-fno-omit-frame-pointer
 endif
-DEPENDENCY_TARGETS=hiredis linenoise lua hdr_histogram fpconv
+DEPENDENCY_TARGETS=hiredis linenoise lua hdr_histogram fpconv fast_float
 NODEPS:=clean distclean
 
 # Default settings
@@ -127,7 +127,7 @@ endif
 
 FINAL_CFLAGS=$(STD) $(WARN) $(OPT) $(DEBUG) $(CFLAGS) $(REDIS_CFLAGS)
 FINAL_LDFLAGS=$(LDFLAGS) $(OPT) $(REDIS_LDFLAGS) $(DEBUG)
-FINAL_LIBS=-lm
+FINAL_LIBS=-lm -lstdc++
 DEBUG=-g -ggdb
 
 # Linux ARM32 needs -latomic at linking time
@@ -235,7 +235,7 @@ ifdef OPENSSL_PREFIX
 endif
 
 # Include paths to dependencies
-FINAL_CFLAGS+= -I../deps/hiredis -I../deps/linenoise -I../deps/lua/src -I../deps/hdr_histogram -I../deps/fpconv
+FINAL_CFLAGS+= -I../deps/hiredis -I../deps/linenoise -I../deps/lua/src -I../deps/hdr_histogram -I../deps/fpconv -I../deps/fast_float
 
 # Determine systemd support and/or build preference (defaulting to auto-detection)
 BUILD_WITH_SYSTEMD=no
@@ -409,7 +409,7 @@ endif
 
 # redis-server
 $(REDIS_SERVER_NAME): $(REDIS_SERVER_OBJ)
-	$(REDIS_LD) -o $@ $^ ../deps/hiredis/libhiredis.a ../deps/lua/src/liblua.a ../deps/hdr_histogram/libhdrhistogram.a ../deps/fpconv/libfpconv.a $(FINAL_LIBS)
+	$(REDIS_LD) -o $@ $^ ../deps/hiredis/libhiredis.a ../deps/lua/src/liblua.a ../deps/hdr_histogram/libhdrhistogram.a ../deps/fpconv/libfpconv.a ../deps/fast_float/libfast_float.a $(FINAL_LIBS)
 
 # redis-sentinel
 $(REDIS_SENTINEL_NAME): $(REDIS_SERVER_NAME)
diff --git a/src/debug.c b/src/debug.c
index df74f053481..e77db51f06b 100644
--- a/src/debug.c
+++ b/src/debug.c
@@ -15,6 +15,7 @@
 #include "bio.h"
 #include "quicklist.h"
 #include "fpconv_dtoa.h"
+#include "fast_float_strtod.h"
 #include "cluster.h"
 #include "threads_mngr.h"
 #include "script.h"
@@ -833,7 +834,7 @@ NULL
             addReplyError(c,"Wrong protocol type name. Please use one of the following: string|integer|double|bignum|null|array|set|map|attrib|push|verbatim|true|false");
         }
     } else if (!strcasecmp(c->argv[1]->ptr,"sleep") && c->argc == 3) {
-        double dtime = strtod(c->argv[2]->ptr,NULL);
+        double dtime = fast_float_strtod(c->argv[2]->ptr,NULL);
         long long utime = dtime*1000000;
         struct timespec tv;
 
diff --git a/src/resp_parser.c b/src/resp_parser.c
index e20e9c93c6c..c4eb751112c 100644
--- a/src/resp_parser.c
+++ b/src/resp_parser.c
@@ -34,6 +34,7 @@
  * ----------------------------------------------------------------------------------------
  */
 
+#include "fast_float_strtod.h"
 #include "resp_parser.h"
 #include "server.h"
 
@@ -132,7 +133,7 @@ static int parseDouble(ReplyParser *parser, void *p_ctx) {
     if (len <= MAX_LONG_DOUBLE_CHARS) {
         memcpy(buf,proto+1,len);
         buf[len] = '\0';
-        d = strtod(buf,NULL); /* We expect a valid representation. */
+        d = fast_float_strtod(buf,NULL); /* We expect a valid representation. */
     } else {
         d = 0;
     }
diff --git a/src/sort.c b/src/sort.c
index 2dcea1754f5..de4bc17bab8 100644
--- a/src/sort.c
+++ b/src/sort.c
@@ -7,7 +7,7 @@
  * (RSALv2) or the Server Side Public License v1 (SSPLv1).
  */
 
-
+#include "fast_float_strtod.h"
 #include "server.h"
 #include "pqsort.h" /* Partial qsort for SORT+LIMIT */
 #include <math.h> /* isnan() */
@@ -472,7 +472,7 @@ void sortCommandGeneric(client *c, int readonly) {
                 if (sdsEncodedObject(byval)) {
                     char *eptr;
 
-                    vector[j].u.score = strtod(byval->ptr,&eptr);
+                    vector[j].u.score = fast_float_strtod(byval->ptr,&eptr);
                     if (eptr[0] != '\0' || errno == ERANGE ||
                         isnan(vector[j].u.score))
                     {
diff --git a/src/t_zset.c b/src/t_zset.c
index 8533ff12b12..9ecfba6ae33 100644
--- a/src/t_zset.c
+++ b/src/t_zset.c
@@ -55,7 +55,7 @@
  * c) there is a back pointer, so it's a doubly linked list with the back
  * pointers being only at "level 1". This allows to traverse the list
  * from tail to head, useful for ZREVRANGE. */
-
+#include "fast_float_strtod.h"
 #include "server.h"
 #include "intset.h"  /* Compact integer set structure */
 #include <math.h>
@@ -566,11 +566,11 @@ static int zslParseRange(robj *min, robj *max, zrangespec *spec) {
         spec->min = (long)min->ptr;
     } else {
         if (((char*)min->ptr)[0] == '(') {
-            spec->min = strtod((char*)min->ptr+1,&eptr);
+            spec->min = fast_float_strtod((char*)min->ptr+1,&eptr);
             if (eptr[0] != '\0' || isnan(spec->min)) return C_ERR;
             spec->minex = 1;
         } else {
-            spec->min = strtod((char*)min->ptr,&eptr);
+            spec->min = fast_float_strtod((char*)min->ptr,&eptr);
             if (eptr[0] != '\0' || isnan(spec->min)) return C_ERR;
         }
     }
@@ -578,11 +578,11 @@ static int zslParseRange(robj *min, robj *max, zrangespec *spec) {
         spec->max = (long)max->ptr;
     } else {
         if (((char*)max->ptr)[0] == '(') {
-            spec->max = strtod((char*)max->ptr+1,&eptr);
+            spec->max = fast_float_strtod((char*)max->ptr+1,&eptr);
             if (eptr[0] != '\0' || isnan(spec->max)) return C_ERR;
             spec->maxex = 1;
         } else {
-            spec->max = strtod((char*)max->ptr,&eptr);
+            spec->max = fast_float_strtod((char*)max->ptr,&eptr);
             if (eptr[0] != '\0' || isnan(spec->max)) return C_ERR;
         }
     }
@@ -789,7 +789,7 @@ double zzlStrtod(unsigned char *vstr, unsigned int vlen) {
         vlen = sizeof(buf) - 1;
     memcpy(buf,vstr,vlen);
     buf[vlen] = '\0';
-    return strtod(buf,NULL);
+    return fast_float_strtod(buf,NULL);
  }
 
 double zzlGetScore(unsigned char *sptr) {
diff --git a/src/util.c b/src/util.c
index 98cd9ddf640..115863b22f2 100644
--- a/src/util.c
+++ b/src/util.c
@@ -30,6 +30,7 @@
 
 #include "fmacros.h"
 #include "fpconv_dtoa.h"
+#include "fast_float_strtod.h"
 #include <stdlib.h>
 #include <stdio.h>
 #include <string.h>
@@ -612,7 +613,7 @@ int string2ld(const char *s, size_t slen, long double *dp) {
 int string2d(const char *s, size_t slen, double *dp) {
     errno = 0;
     char *eptr;
-    *dp = strtod(s, &eptr);
+    *dp = fast_float_strtod(s, &eptr);
     if (slen == 0 ||
         isspace(((const char*)s)[0]) ||
         (size_t)(eptr-(char*)s) != slen ||