Fast algorithm for double->string conversion.

Review URL: http://codereview.chromium.org/619005

git-svn-id: http://v8.googlecode.com/svn/branches/bleeding_edge@4090 ce2b1a6d-e550-0410-aec6-3dcde31c8c00

diff --git a/src/SConscript b/src/SConscript
index d61da3e07898af6bf8d3a3ea44df2ed9e3de52f8..44b6b5b4f5cdad22fa0eac5927891d0e86db8956 100755 (executable)
--- a/src/SConscript
+++ b/src/SConscript
@@ -63,6 +63,7 @@ SOURCES = {
     full-codegen.cc
     func-name-inferrer.cc
     global-handles.cc
+    grisu3.cc
     handles.cc
     hashmap.cc
     heap-profiler.cc

diff --git a/src/cached_powers.h b/src/cached_powers.h
new file mode 100644 (file)
index 0000000..15153c5
--- /dev/null
+++ b/src/cached_powers.h
@@ -0,0 +1,119 @@
+// Copyright 2010 the V8 project authors. All rights reserved.
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+//     * Redistributions of source code must retain the above copyright
+//       notice, this list of conditions and the following disclaimer.
+//     * Redistributions in binary form must reproduce the above
+//       copyright notice, this list of conditions and the following
+//       disclaimer in the documentation and/or other materials provided
+//       with the distribution.
+//     * Neither the name of Google Inc. nor the names of its
+//       contributors may be used to endorse or promote products derived
+//       from this software without specific prior written permission.
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+#ifndef V8_CACHED_POWERS_H_
+#define V8_CACHED_POWERS_H_
+
+#include "diy_fp.h"
+
+namespace v8 {
+namespace internal {
+
+struct CachedPower {
+  uint64_t significand;
+  int16_t binary_exponent;
+  int16_t decimal_exponent;
+};
+
+// The following defines implement the interface between this file and the
+// generated 'powers_ten.h'.
+// GRISU_CACHE_NAME(1) contains all possible cached powers.
+// GRISU_CACHE_NAME(i) contains GRISU_CACHE_NAME(1) where only every 'i'th
+// element is kept. More formally GRISU_CACHE_NAME(i) contains the elements j*i
+// with 0 <= j < k with k such that j*k < the size of GRISU_CACHE_NAME(1).
+// The higher 'i' is the fewer elements we use.
+// Given that there are less elements, the exponent-distance between two
+// elements in the cache grows. The variable GRISU_CACHE_MAX_DISTANCE(i) stores
+// the maximum distance between two elements.
+#define GRISU_CACHE_STRUCT CachedPower
+#define GRISU_CACHE_NAME(i) kCachedPowers##i
+#define GRISU_CACHE_MAX_DISTANCE(i) kCachedPowersMaxDistance##i
+#define GRISU_CACHE_OFFSET kCachedPowerOffset
+#define GRISU_UINT64_C V8_2PART_UINT64_C
+// The following include imports the precompiled cached powers.
+#include "powers_ten.h"  // NOLINT
+
+static const double kD_1_LOG2_10 = 0.30102999566398114;  //  1 / lg(10)
+
+// We can't use a function since we reference variables depending on the 'i'.
+// This way the compiler is able to see at compile time that only one
+// cache-array variable is used and thus can remove all the others.
+#define COMPUTE_FOR_CACHE(i) \
+  if (!found && (gamma - alpha + 1 >= GRISU_CACHE_MAX_DISTANCE(i))) {   \
+    int kQ = DiyFp::kSignificandSize;                                   \
+    int k = ceiling((alpha - e + kQ - 1) * kD_1_LOG2_10);               \
+    int index = (GRISU_CACHE_OFFSET + k - 1) / i + 1;                   \
+    cached_power = GRISU_CACHE_NAME(i)[index];                          \
+    found = true;                                                       \
+  }                                                                     \
+
+static void GetCachedPower(int e, int alpha, int gamma, int* mk, DiyFp* c_mk) {
+  // The following if statement should be optimized by the compiler so that only
+  // one array is referenced and the others are not included in the object file.
+  bool found = false;
+  CachedPower cached_power;
+  COMPUTE_FOR_CACHE(20);
+  COMPUTE_FOR_CACHE(19);
+  COMPUTE_FOR_CACHE(18);
+  COMPUTE_FOR_CACHE(17);
+  COMPUTE_FOR_CACHE(16);
+  COMPUTE_FOR_CACHE(15);
+  COMPUTE_FOR_CACHE(14);
+  COMPUTE_FOR_CACHE(13);
+  COMPUTE_FOR_CACHE(12);
+  COMPUTE_FOR_CACHE(11);
+  COMPUTE_FOR_CACHE(10);
+  COMPUTE_FOR_CACHE(9);
+  COMPUTE_FOR_CACHE(8);
+  COMPUTE_FOR_CACHE(7);
+  COMPUTE_FOR_CACHE(6);
+  COMPUTE_FOR_CACHE(5);
+  COMPUTE_FOR_CACHE(4);
+  COMPUTE_FOR_CACHE(3);
+  COMPUTE_FOR_CACHE(2);
+  COMPUTE_FOR_CACHE(1);
+  if (!found) {
+    UNIMPLEMENTED();
+    // Silence compiler warnings.
+    cached_power.significand = 0;
+    cached_power.binary_exponent = 0;
+    cached_power.decimal_exponent = 0;
+  }
+  *c_mk = DiyFp(cached_power.significand, cached_power.binary_exponent);
+  *mk = cached_power.decimal_exponent;
+  ASSERT((alpha <= c_mk->e() + e) && (c_mk->e() + e <= gamma));
+}
+#undef GRISU_REDUCTION
+#undef GRISU_CACHE_STRUCT
+#undef GRISU_CACHE_NAME
+#undef GRISU_CACHE_MAX_DISTANCE
+#undef GRISU_CACHE_OFFSET
+#undef GRISU_UINT64_C
+
+} }  // namespace v8::internal
+
+#endif  // V8_CACHED_POWERS_H_

diff --git a/src/checks.h b/src/checks.h
index eeb748b4a80d875e16234a4a20b14575b33a7be9..cdcd18ad224401c37b63ddc21ff2e6d8505d4cf4 100644 (file)
--- a/src/checks.h
+++ b/src/checks.h
@@ -80,6 +80,7 @@ static inline void CheckEqualsHelper(const char* file, int line,
   }
 }
 
+
 // Helper function used by the CHECK_EQ function when given int64_t
 // arguments.  Should not be called directly.
 static inline void CheckEqualsHelper(const char* file, int line,
@@ -202,6 +203,27 @@ static inline void CheckEqualsHelper(const char* file,
 }
 
 
+static inline void CheckNonEqualsHelper(const char* file,
+                                     int line,
+                                     const char* expected_source,
+                                     double expected,
+                                     const char* value_source,
+                                     double value) {
+  // Force values to 64 bit memory to truncate 80 bit precision on IA32.
+  volatile double* exp = new double[1];
+  *exp = expected;
+  volatile double* val = new double[1];
+  *val = value;
+  if (*exp == *val) {
+    V8_Fatal(file, line,
+             "CHECK_NE(%s, %s) failed\n#   Value: %f",
+             expected_source, value_source, *val);
+  }
+  delete[] exp;
+  delete[] val;
+}
+
+
 namespace v8 {
   class Value;
   template <class T> class Handle;

diff --git a/src/conversions.cc b/src/conversions.cc
index fd6d38d84d3b80fcef8aaae47e6b0936f4e7632e..864b6259c016eb413d4c846f8e89c1e36ba25e36 100644 (file)
--- a/src/conversions.cc
+++ b/src/conversions.cc
@@ -31,6 +31,7 @@
 
 #include "conversions-inl.h"
 #include "factory.h"
+#include "grisu3.h"
 #include "scanner.h"
 
 namespace v8 {
@@ -382,8 +383,17 @@ const char* DoubleToCString(double v, Vector<char> buffer) {
       int decimal_point;
       int sign;
 
-      char* decimal_rep = dtoa(v, 0, 0, &decimal_point, &sign, NULL);
-      int length = StrLength(decimal_rep);
+      char* decimal_rep;
+      bool used_dtoa = false;
+      char grisu_buffer[kGrisu3MaximalLength + 1];
+      int length;
+      if (grisu3(v, grisu_buffer, &sign, &length, &decimal_point)) {
+        decimal_rep = grisu_buffer;
+      } else {
+        decimal_rep = dtoa(v, 0, 0, &decimal_point, &sign, NULL);
+        used_dtoa = true;
+        length = StrLength(decimal_rep);
+      }
 
       if (sign) builder.AddCharacter('-');
 
@@ -418,7 +428,7 @@ const char* DoubleToCString(double v, Vector<char> buffer) {
         builder.AddFormatted("%d", exponent);
       }
 
-      freedtoa(decimal_rep);
+      if (used_dtoa) freedtoa(decimal_rep);
     }
   }
   return builder.Finalize();

diff --git a/src/diy_fp.h b/src/diy_fp.h
new file mode 100644 (file)
index 0000000..9cd7003
--- /dev/null
+++ b/src/diy_fp.h
@@ -0,0 +1,136 @@
+// Copyright 2010 the V8 project authors. All rights reserved.
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+//     * Redistributions of source code must retain the above copyright
+//       notice, this list of conditions and the following disclaimer.
+//     * Redistributions in binary form must reproduce the above
+//       copyright notice, this list of conditions and the following
+//       disclaimer in the documentation and/or other materials provided
+//       with the distribution.
+//     * Neither the name of Google Inc. nor the names of its
+//       contributors may be used to endorse or promote products derived
+//       from this software without specific prior written permission.
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+#ifndef V8_DIY_FP_H_
+#define V8_DIY_FP_H_
+
+namespace v8 {
+namespace internal {
+
+// This "Do It Yourself Floating Point" class implements a floating-point number
+// with a uint64 significand and an int exponent. Normalized DiyFp numbers will
+// have the most significant bit of the significand set.
+// Multiplication and Subtraction do not normalize their results.
+// DiyFp are not designed to contain special doubles (NaN and Infinity).
+class DiyFp {
+ public:
+  static const int kSignificandSize = 64;
+
+  DiyFp() : f_(0), e_(0) {}
+  DiyFp(uint64_t f, int e) : f_(f), e_(e) {}
+
+  // this = this - other.
+  // The exponents of both numbers must be the same and the significand of this
+  // must be bigger than the significand of other.
+  // The result will not be normalized.
+  void Subtract(const DiyFp& other) {
+    ASSERT(e_ == other.e_);
+    ASSERT(f_ >= other.f_);
+    f_ -= other.f_;
+  }
+
+  // Returns a - b.
+  // The exponents of both numbers must be the same and this must be bigger
+  // than other. The result will not be normalized.
+  static DiyFp Minus(const DiyFp& a, const DiyFp& b) {
+    DiyFp result = a;
+    result.Subtract(b);
+    return result;
+  }
+
+
+  // this = this * other.
+  void Multiply(const DiyFp& other) {
+    // Simply "emulates" a 128 bit multiplication.
+    // However: the resulting number only contains 64 bits. The least
+    // significant 64 bits are only used for rounding the most significant 64
+    // bits.
+    const uint64_t kM32 = 0xFFFFFFFFu;
+    uint64_t a = f_ >> 32;
+    uint64_t b = f_ & kM32;
+    uint64_t c = other.f_ >> 32;
+    uint64_t d = other.f_ & kM32;
+    uint64_t ac = a * c;
+    uint64_t bc = b * c;
+    uint64_t ad = a * d;
+    uint64_t bd = b * d;
+    uint64_t tmp = (bd >> 32) + (ad & kM32) + (bc & kM32);
+    tmp += 1U << 31;  // round
+    uint64_t result_f = ac + (ad >> 32) + (bc >> 32) + (tmp >> 32);
+    e_ += other.e_ + 64;
+    f_ = result_f;
+  }
+
+  // returns a * b;
+  static DiyFp Times(const DiyFp& a, const DiyFp& b) {
+    DiyFp result = a;
+    result.Multiply(b);
+    return result;
+  }
+
+  void Normalize() {
+    ASSERT(f_ != 0);
+    uint64_t f = f_;
+    int e = e_;
+
+    // This method is mainly called for normalizing boundaries. In general
+    // boundaries need to be shifted by 10 bits. We thus optimize for this case.
+    const uint64_t k10MSBits = V8_2PART_UINT64_C(0xFFC00000, 00000000);
+    while ((f & k10MSBits) == 0) {
+      f <<= 10;
+      e -= 10;
+    }
+    while ((f & kUint64MSB) == 0) {
+      f <<= 1;
+      e--;
+    }
+    f_ = f;
+    e_ = e;
+  }
+
+  static DiyFp Normalize(const DiyFp& a) {
+    DiyFp result = a;
+    result.Normalize();
+    return result;
+  }
+
+  uint64_t f() const { return f_; }
+  int e() const { return e_; }
+
+  void set_f(uint64_t new_value) { f_ = new_value; }
+  void set_e(int new_value) { e_ = new_value; }
+
+ private:
+  static const uint64_t kUint64MSB = V8_2PART_UINT64_C(0x80000000, 00000000);
+
+  uint64_t f_;
+  int e_;
+};
+
+} }  // namespace v8::internal
+
+#endif  // V8_DIY_FP_H_

diff --git a/src/double.h b/src/double.h
new file mode 100644 (file)
index 0000000..cef0f60
--- /dev/null
+++ b/src/double.h
@@ -0,0 +1,169 @@
+// Copyright 2010 the V8 project authors. All rights reserved.
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+//     * Redistributions of source code must retain the above copyright
+//       notice, this list of conditions and the following disclaimer.
+//     * Redistributions in binary form must reproduce the above
+//       copyright notice, this list of conditions and the following
+//       disclaimer in the documentation and/or other materials provided
+//       with the distribution.
+//     * Neither the name of Google Inc. nor the names of its
+//       contributors may be used to endorse or promote products derived
+//       from this software without specific prior written permission.
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+#ifndef V8_DOUBLE_H_
+#define V8_DOUBLE_H_
+
+#include "diy_fp.h"
+
+namespace v8 {
+namespace internal {
+
+// We assume that doubles and uint64_t have the same endianness.
+static uint64_t double_to_uint64(double d) { return bit_cast<uint64_t>(d); }
+static double uint64_to_double(uint64_t d64) { return bit_cast<double>(d64); }
+
+// Helper functions for doubles.
+class Double {
+ public:
+  static const uint64_t kSignMask = V8_2PART_UINT64_C(0x80000000, 00000000);
+  static const uint64_t kExponentMask = V8_2PART_UINT64_C(0x7FF00000, 00000000);
+  static const uint64_t kSignificandMask =
+      V8_2PART_UINT64_C(0x000FFFFF, FFFFFFFF);
+  static const uint64_t kHiddenBit = V8_2PART_UINT64_C(0x00100000, 00000000);
+
+  Double() : d64_(0.0) {}
+  explicit Double(double d) : d64_(double_to_uint64(d)) {}
+  explicit Double(uint64_t d64) : d64_(d64) {}
+
+  DiyFp AsDiyFp() const {
+    ASSERT(!IsSpecial());
+    return DiyFp(Significand(), Exponent());
+  }
+
+  // this->Significand() must not be 0.
+  DiyFp AsNormalizedDiyFp() const {
+    uint64_t f = Significand();
+    int e = Exponent();
+
+    ASSERT(f != 0);
+
+    // The current double could be a denormal.
+    while ((f & kHiddenBit) == 0) {
+      f <<= 1;
+      e--;
+    }
+    // Do the final shifts in one go. Don't forget the hidden bit (the '-1').
+    f <<= DiyFp::kSignificandSize - kSignificandSize - 1;
+    e -= DiyFp::kSignificandSize - kSignificandSize - 1;
+    return DiyFp(f, e);
+  }
+
+  // Returns the double's bit as uint64.
+  uint64_t AsUint64() const {
+    return d64_;
+  }
+
+  int Exponent() const {
+    if (IsDenormal()) return kDenormalExponent;
+
+    uint64_t d64 = AsUint64();
+    int biased_e = (d64 & kExponentMask) >> kSignificandSize;
+    return biased_e - kExponentBias;
+  }
+
+  uint64_t Significand() const {
+    uint64_t d64 = AsUint64();
+    uint64_t significand = d64 & kSignificandMask;
+    if (!IsDenormal()) {
+      return significand + kHiddenBit;
+    } else {
+      return significand;
+    }
+  }
+
+  // Returns true if the double is a denormal.
+  bool IsDenormal() const {
+    uint64_t d64 = AsUint64();
+    return (d64 & kExponentMask) == 0;
+  }
+
+  // We consider denormals not to be special.
+  // Hence only Infinity and NaN are special.
+  bool IsSpecial() const {
+    uint64_t d64 = AsUint64();
+    return (d64 & kExponentMask) == kExponentMask;
+  }
+
+  bool IsNan() const {
+    uint64_t d64 = AsUint64();
+    return ((d64 & kExponentMask) == kExponentMask) &&
+        ((d64 & kSignificandMask) != 0);
+  }
+
+
+  bool IsInfinite() const {
+    uint64_t d64 = AsUint64();
+    return ((d64 & kExponentMask) == kExponentMask) &&
+        ((d64 & kSignificandMask) == 0);
+  }
+
+
+  int Sign() const {
+    uint64_t d64 = AsUint64();
+    return (d64 & kSignMask) == 0? 1: -1;
+  }
+
+
+  // Returns the two boundaries of this.
+  // The bigger boundary (m_plus) is normalized. The lower boundary has the same
+  // exponent as m_plus.
+  void NormalizedBoundaries(DiyFp* out_m_minus, DiyFp* out_m_plus) const {
+    DiyFp v = this->AsDiyFp();
+    bool significand_is_zero = (v.f() == kHiddenBit);
+    DiyFp m_plus = DiyFp::Normalize(DiyFp((v.f() << 1) + 1, v.e() - 1));
+    DiyFp m_minus;
+    if (significand_is_zero && v.e() != kDenormalExponent) {
+      // The boundary is closer. Think of v = 1000e10 and v- = 9999e9.
+      // Then the boundary (== (v - v-)/2) is not just at a distance of 1e9 but
+      // at a distance of 1e8.
+      // The only exception is for the smallest normal: the largest denormal is
+      // at the same distance as its successor.
+      // Note: denormals have the same exponent as the smallest normals.
+      m_minus = DiyFp((v.f() << 2) - 1, v.e() - 2);
+    } else {
+      m_minus = DiyFp((v.f() << 1) - 1, v.e() - 1);
+    }
+    m_minus.set_f(m_minus.f() << (m_minus.e() - m_plus.e()));
+    m_minus.set_e(m_plus.e());
+    *out_m_plus = m_plus;
+    *out_m_minus = m_minus;
+  }
+
+  double value() const { return uint64_to_double(d64_); }
+
+ private:
+  static const int kSignificandSize = 52;  // Excludes the hidden bit.
+  static const int kExponentBias = 0x3FF + kSignificandSize;
+  static const int kDenormalExponent = -kExponentBias + 1;
+
+  uint64_t d64_;
+};
+
+} }  // namespace v8::internal
+
+#endif  // V8_DOUBLE_H_

diff --git a/src/globals.h b/src/globals.h
index 3840feef4319925cbcd0ed445bb077f09ac6094e..7be6211aa42f957c15f763b6f55cc50caed2792d 100644 (file)
--- a/src/globals.h
+++ b/src/globals.h
@@ -98,6 +98,11 @@ typedef byte* Address;
 #define V8_PTR_PREFIX ""
 #endif  // V8_HOST_ARCH_64_BIT
 
+// The following macro works on both 32 and 64-bit platforms.
+// Usage: instead of writing 0x1234567890123456
+//      write V8_2PART_UINT64_C(0x12345678,90123456);
+#define V8_2PART_UINT64_C(a, b) (((static_cast<uint64_t>(a) << 32) + 0x##b##u))
+
 #define V8PRIxPTR V8_PTR_PREFIX "x"
 #define V8PRIdPTR V8_PTR_PREFIX "d"
 

diff --git a/src/grisu3.cc b/src/grisu3.cc
new file mode 100644 (file)
index 0000000..de83942
--- /dev/null
+++ b/src/grisu3.cc
@@ -0,0 +1,477 @@
+// Copyright 2010 the V8 project authors. All rights reserved.
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+//     * Redistributions of source code must retain the above copyright
+//       notice, this list of conditions and the following disclaimer.
+//     * Redistributions in binary form must reproduce the above
+//       copyright notice, this list of conditions and the following
+//       disclaimer in the documentation and/or other materials provided
+//       with the distribution.
+//     * Neither the name of Google Inc. nor the names of its
+//       contributors may be used to endorse or promote products derived
+//       from this software without specific prior written permission.
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+#include "v8.h"
+
+#include "grisu3.h"
+
+#include "cached_powers.h"
+#include "diy_fp.h"
+#include "double.h"
+
+namespace v8 {
+namespace internal {
+
+template <int alpha = -60, int gamma = -32>
+class Grisu3 {
+ public:
+  // Provides a decimal representation of v.
+  // Returns true if it succeeds, otherwise the result can not be trusted.
+  // There will be *length digits inside the buffer (not null-terminated).
+  // If the function returns true then
+  //        v == (double) (buffer * 10^decimal_exponent).
+  // The digits in the buffer are the shortest representation possible: no
+  // 0.099999999999 instead of 0.1.
+  // The last digit will be closest to the actual v. That is, even if several
+  // digits might correctly yield 'v' when read again, the closest will be
+  // computed.
+  static bool grisu3(double v,
+                     char* buffer, int* length, int* decimal_exponent);
+
+ private:
+  // Rounds the buffer according to the rest.
+  // If there is too much imprecision to round then false is returned.
+  // Similarily false is returned when the buffer is not within Delta.
+  static bool RoundWeed(char* buffer, int len, uint64_t wp_W, uint64_t Delta,
+                        uint64_t rest, uint64_t ten_kappa, uint64_t ulp);
+  // Dispatches to the a specialized digit-generation routine. The chosen
+  // routine depends on w.e (which in turn depends on alpha and gamma).
+  // Currently there is only one digit-generation routine, but it would be easy
+  // to add others.
+  static bool DigitGen(DiyFp low, DiyFp w, DiyFp high,
+                       char* buffer, int* len, int* kappa);
+  // Generates w's digits. The result is the shortest in the interval low-high.
+  // All DiyFp are assumed to be imprecise and this function takes this
+  // imprecision into account. If the function cannot compute the best
+  // representation (due to the imprecision) then false is returned.
+  static bool DigitGen_m60_m32(DiyFp low, DiyFp w, DiyFp high,
+                               char* buffer, int* length, int* kappa);
+};
+
+
+template<int alpha, int gamma>
+bool Grisu3<alpha, gamma>::grisu3(
+    double v, char* buffer, int* length, int* decimal_exponent) {
+  DiyFp w = Double(v).AsNormalizedDiyFp();
+  // boundary_minus and boundary_plus are the boundaries between v and its
+  // neighbors. Any number strictly between boundary_minus and boundary_plus
+  // will round to v when read as double.
+  // Grisu3 will never output representations that lie exactly on a boundary.
+  DiyFp boundary_minus, boundary_plus;
+  Double(v).NormalizedBoundaries(&boundary_minus, &boundary_plus);
+  ASSERT(boundary_plus.e() == w.e());
+  DiyFp ten_mk;  // Cached power of ten: 10^-k
+  int mk;        // -k
+  GetCachedPower(w.e() + DiyFp::kSignificandSize, alpha, gamma, &mk, &ten_mk);
+  ASSERT(alpha <= w.e() + ten_mk.e() + DiyFp::kSignificandSize &&
+         gamma >= w.e() + ten_mk.e() + DiyFp::kSignificandSize);
+  // Note that ten_mk is only an approximation of 10^-k. A DiyFp only contains a
+  // 64 bit significand and ten_mk is thus only precise up to 64 bits.
+
+  // The DiyFp::Times procedure rounds its result, and ten_mk is approximated
+  // too. The variable scaled_w (as well as scaled_boundary_minus/plus) are now
+  // off by a small amount.
+  // In fact: scaled_w - w*10^k < 1ulp (unit in the last place) of scaled_w.
+  // In other words: let f = scaled_w.f() and e = scaled_w.e(), then
+  //           (f-1) * 2^e < w*10^k < (f+1) * 2^e
+  DiyFp scaled_w = DiyFp::Times(w, ten_mk);
+  ASSERT(scaled_w.e() ==
+         boundary_plus.e() + ten_mk.e() + DiyFp::kSignificandSize);
+  // In theory it would be possible to avoid some recomputations by computing
+  // the difference between w and boundary_minus/plus (a power of 2) and to
+  // compute scaled_boundary_minus/plus by subtracting/adding from
+  // scaled_w. However the code becomes much less readable and the speed
+  // enhancements are not terriffic.
+  DiyFp scaled_boundary_minus = DiyFp::Times(boundary_minus, ten_mk);
+  DiyFp scaled_boundary_plus  = DiyFp::Times(boundary_plus,  ten_mk);
+
+  // DigitGen will generate the digits of scaled_w. Therefore we have
+  // v == (double) (scaled_w * 10^-mk).
+  // Set decimal_exponent == -mk and pass it to DigitGen. If scaled_w is not an
+  // integer than it will be updated. For instance if scaled_w == 1.23 then
+  // the buffer will be filled with "123" und the decimal_exponent will be
+  // decreased by 2.
+  int kappa;
+  bool result = DigitGen(scaled_boundary_minus, scaled_w, scaled_boundary_plus,
+                         buffer, length, &kappa);
+  *decimal_exponent = -mk + kappa;
+  return result;
+}
+
+// Generates the digits of input number w.
+// w is a floating-point number (DiyFp), consisting of a significand and an
+// exponent. Its exponent is bounded by alpha and gamma. Typically alpha >= -63
+// and gamma <= 3.
+// Returns false if it fails, in which case the generated digits in the buffer
+// should not be used.
+// Preconditions:
+//  * low, w and high are correct up to 1 ulp (unit in the last place). That
+//    is, their error must be less that a unit of their last digits.
+//  * low.e() == w.e() == high.e()
+//  * low < w < high, and taking into account their error: low~ <= high~
+//  * alpha <= w.e() <= gamma
+// Postconditions: returns false if procedure fails.
+//   otherwise:
+//     * buffer is not null-terminated, but len contains the number of digits.
+//     * buffer contains the shortest possible decimal digit-sequence
+//       such that LOW < buffer * 10^kappa < HIGH, where LOW and HIGH are the
+//       correct values of low and high (without their error).
+//     * if more than one decimal representation gives the minimal number of
+//       decimal digits then the one closest to W (where W is the correct value
+//       of w) is chosen.
+// Remark: this procedure takes into account the imprecision of its input
+//   numbers. If the precision is not enough to guarantee all the postconditions
+//   then false is returned. This usually happens rarely (~0.5%).
+template<int alpha, int gamma>
+bool Grisu3<alpha, gamma>::DigitGen(
+    DiyFp low, DiyFp w, DiyFp high, char* buffer, int* len, int* kappa) {
+  ASSERT(low.e() == w.e() && w.e() == high.e());
+  ASSERT(low.f() + 1 <= high.f() - 1);
+  ASSERT(alpha <= w.e() && w.e() <= gamma);
+  // The following tests use alpha and gamma to avoid unnecessary dynamic tests.
+  if ((alpha >= -60 && gamma <= -32) ||  // -60 <= w.e() <= -32
+      (alpha <= -32 && gamma >= -60 &&   // Alpha/gamma overlaps -60/-32 region.
+       -60 <= w.e() && w.e() <= -32)) {
+    return DigitGen_m60_m32(low, w, high, buffer, len, kappa);
+  } else {
+    // A simple adaption of the special case -60/-32 would allow greater ranges
+    // of alpha/gamma and thus reduce the number of precomputed cached powers of
+    // ten.
+    UNIMPLEMENTED();
+    return false;
+  }
+}
+
+static const uint32_t kTen4 = 10000;
+static const uint32_t kTen5 = 100000;
+static const uint32_t kTen6 = 1000000;
+static const uint32_t kTen7 = 10000000;
+static const uint32_t kTen8 = 100000000;
+static const uint32_t kTen9 = 1000000000;
+
+// Returns the biggest power of ten that is <= than the given number. We
+// furthermore receive the maximum number of bits 'number' has.
+// If number_bits == 0 then 0^-1 is returned
+// The number of bits must be <= 32.
+static void BiggestPowerTen(uint32_t number, int number_bits,
+                            uint32_t* power, int* exponent) {
+  switch (number_bits) {
+    case 32:
+    case 31:
+    case 30:
+      if (kTen9 <= number) {
+        *power = kTen9;
+        *exponent = 9;
+        break;
+      }  // else fallthrough
+    case 29:
+    case 28:
+    case 27:
+      if (kTen8 <= number) {
+        *power = kTen8;
+        *exponent = 8;
+        break;
+      }  // else fallthrough
+    case 26:
+    case 25:
+    case 24:
+      if (kTen7 <= number) {
+        *power = kTen7;
+        *exponent = 7;
+        break;
+      }  // else fallthrough
+    case 23:
+    case 22:
+    case 21:
+    case 20:
+      if (kTen6 <= number) {
+        *power = kTen6;
+        *exponent = 6;
+        break;
+      }  // else fallthrough
+    case 19:
+    case 18:
+    case 17:
+      if (kTen5 <= number) {
+        *power = kTen5;
+        *exponent = 5;
+        break;
+      }  // else fallthrough
+    case 16:
+    case 15:
+    case 14:
+      if (kTen4 <= number) {
+        *power = kTen4;
+        *exponent = 4;
+        break;
+      }  // else fallthrough
+    case 13:
+    case 12:
+    case 11:
+    case 10:
+      if (1000 <= number) {
+        *power = 1000;
+        *exponent = 3;
+        break;
+      }  // else fallthrough
+    case 9:
+    case 8:
+    case 7:
+      if (100 <= number) {
+        *power = 100;
+        *exponent = 2;
+        break;
+      }  // else fallthrough
+    case 6:
+    case 5:
+    case 4:
+      if (10 <= number) {
+        *power = 10;
+        *exponent = 1;
+        break;
+      }  // else fallthrough
+    case 3:
+    case 2:
+    case 1:
+      if (1 <= number) {
+        *power = 1;
+        *exponent = 0;
+        break;
+      }  // else fallthrough
+    case 0:
+      *power = 0;
+      *exponent = -1;
+      break;
+    default:
+      // Following assignments are here to silence compiler warnings.
+      *power = 0;
+      *exponent = 0;
+      UNREACHABLE();
+  }
+}
+
+
+// Same comments as for DigitGen but with additional precondition:
+//    -60 <= w.e() <= -32
+//
+// Say, for the sake of example, that
+//   w.e() == -48, and w.f() == 0x1234567890abcdef
+// w's value can be computed by w.f() * 2^w.e()
+// We can obtain w's integral digits by simply shifting w.f() by -w.e().
+//  -> w's integral part is 0x1234
+//  w's fractional part is therefore 0x567890abcdef.
+// Printing w's integral part is easy (simply print 0x1234 in decimal).
+// In order to print its fraction we repeatedly multiply the fraction by 10 and
+// get each digit. Example the first digit after the comma would be computed by
+//   (0x567890abcdef * 10) >> 48. -> 3
+// The whole thing becomes slightly more complicated because we want to stop
+// once we have enough digits. That is, once the digits inside the buffer
+// represent 'w' we can stop. Everything inside the interval low - high
+// represents w. However we have to pay attention to low, high and w's
+// imprecision.
+template<int alpha, int gamma>
+bool Grisu3<alpha, gamma>::DigitGen_m60_m32(
+    DiyFp low, DiyFp w, DiyFp high, char* buffer, int* length, int* kappa) {
+  // low, w and high are imprecise, but by less than one ulp (unit in the last
+  // place).
+  // If we remove (resp. add) 1 ulp from low (resp. high) we are certain that
+  // the new numbers are outside of the interval we want the final
+  // representation to lie in.
+  // Inversely adding (resp. removing) 1 ulp from low (resp. high) would yield
+  // numbers that are certain to lie in the interval. We will use this fact
+  // later on.
+  // We will now start by generating the digits within the uncertain
+  // interval. Later we will weed out representations that lie outside the safe
+  // interval and thus _might_ lie outside the correct interval.
+  uint64_t unit = 1;
+  DiyFp too_low = DiyFp(low.f() - unit, low.e());
+  DiyFp too_high = DiyFp(high.f() + unit, high.e());
+  // too_low and too_high are guaranteed to lie outside the interval we want the
+  // generated number in.
+  DiyFp unsafe_interval = DiyFp::Minus(too_high, too_low);
+  // We now cut the input number into two parts: the integral digits and the
+  // fractionals. We will not write any decimal separator though, but adapt
+  // kappa instead.
+  // Reminder: we are currently computing the digits (stored inside the buffer)
+  // such that:   too_low < buffer * 10^kappa < too_high
+  // We use too_high for the digit_generation and stop as soon as possible.
+  // If we stop early we effectively round down.
+  DiyFp one = DiyFp(static_cast<uint64_t>(1) << -w.e(), w.e());
+  uint32_t integrals = too_high.f() >> -one.e();        // Division by one.
+  uint64_t fractionals = too_high.f() & (one.f() - 1);  // Modulo by one.
+  uint32_t divider;
+  int divider_exponent;
+  BiggestPowerTen(integrals, DiyFp::kSignificandSize - (-one.e()),
+                  &divider, &divider_exponent);
+  *kappa = divider_exponent + 1;
+  *length = 0;
+  // Loop invariant: buffer = too_high / 10^kappa  (integer division)
+  // The invariant holds for the first iteration: kappa has been initialized
+  // with the divider exponent + 1. And the divider is the biggest power of ten
+  // that fits into the bits that had been reserved for the integrals.
+  while (*kappa > 0) {
+    int digit = integrals / divider;
+    buffer[*length] = '0' + digit;
+    (*length)++;
+    integrals %= divider;
+    (*kappa)--;
+    // Note that kappa now equals the exponent of the divider and that the
+    // invariant thus holds again.
+    uint64_t rest =
+        (static_cast<uint64_t>(integrals) << -one.e()) + fractionals;
+    // Invariant: too_high = buffer * 10^kappa + DiyFp(rest, one.e())
+    // Reminder: unsafe_interval.e() == one.e()
+    if (rest < unsafe_interval.f()) {
+      // Rounding down (by not emitting the remaining digits) yields a number
+      // that lies within the unsafe interval.
+      return RoundWeed(buffer, *length, DiyFp::Minus(too_high, w).f(),
+                       unsafe_interval.f(), rest,
+                       static_cast<uint64_t>(divider) << -one.e(), unit);
+    }
+    divider /= 10;
+  }
+
+  // The integrals have been generated. We are at the point of the decimal
+  // separator. In the following loop we simply multiply the remaining digits by
+  // 10 and divide by one. We just need to pay attention to multiply associated
+  // data (like the interval or 'unit'), too.
+  // Instead of multiplying by 10 we multiply by 5 (cheaper operation) and
+  // increase its (imaginary) exponent. At the same time we decrease the
+  // divider's (one's) exponent and shift its significand.
+  // Basically, if fractionals was a DiyFp (with fractionals.e == one.e):
+  //      fractionals.f *= 10;
+  //      fractionals.f >>= 1; fractionals.e++; // value remains unchanged.
+  //      one.f >>= 1; one.e++;                 // value remains unchanged.
+  //      and we have again fractionals.e == one.e which allows us to divide
+  //           fractionals.f() by one.f()
+  // We simply combine the *= 10 and the >>= 1.
+  while (true) {
+    fractionals *= 5;
+    unit *= 5;
+    unsafe_interval.set_f(unsafe_interval.f() * 5);
+    unsafe_interval.set_e(unsafe_interval.e() + 1);  // Will be optimized out.
+    one.set_f(one.f() >> 1);
+    one.set_e(one.e() + 1);
+    int digit = fractionals >> -one.e();  // Integer division by one.
+    buffer[*length] = '0' + digit;
+    (*length)++;
+    fractionals &= one.f() - 1;  // Modulo by one.
+    (*kappa)--;
+    if (fractionals < unsafe_interval.f()) {
+      return RoundWeed(buffer, *length, DiyFp::Minus(too_high, w).f() * unit,
+                       unsafe_interval.f(), fractionals, one.f(), unit);
+    }
+  }
+}
+
+
+// Rounds the given generated digits in the buffer and weeds out generated
+// digits that are not in the safe interval, or where we cannot find a rounded
+// representation.
+// Input: * buffer containing the digits of too_high / 10^kappa
+//        * the buffer's length
+//        * distance_too_high_w == (too_high - w).f() * unit
+//        * unsafe_interval == (too_high - too_low).f() * unit
+//        * rest = (too_high - buffer * 10^kappa).f() * unit
+//        * ten_kappa = 10^kappa * unit
+//        * unit = the common multiplier
+// Output: returns true on success.
+//    Modifies the generated digits in the buffer to approach (round towards) w.
+template<int alpha, int gamma>
+bool Grisu3<alpha, gamma>::RoundWeed(
+    char* buffer, int length, uint64_t distance_too_high_w,
+    uint64_t unsafe_interval, uint64_t rest, uint64_t ten_kappa,
+    uint64_t unit) {
+  uint64_t small_distance = distance_too_high_w - unit;
+  uint64_t big_distance = distance_too_high_w + unit;
+  // Let w- = too_high - big_distance, and
+  //     w+ = too_high - small_distance.
+  // Note: w- < w < w+
+  //
+  // The real w (* unit) must lie somewhere inside the interval
+  // ]w-; w+[ (often written as "(w-; w+)")
+
+  // Basically the buffer currently contains a number in the unsafe interval
+  // ]too_low; too_high[ with too_low < w < too_high
+  //
+  // By generating the digits of too_high we got the biggest last digit.
+  // In the case that w+ < buffer < too_high we try to decrement the buffer.
+  // This way the buffer approaches (rounds towards) w.
+  // There are 3 conditions that stop the decrementation process:
+  //   1) the buffer is already below w+
+  //   2) decrementing the buffer would make it leave the unsafe interval
+  //   3) decrementing the buffer would yield a number below w+ and farther away
+  //      than the current number. In other words:
+  //                       (buffer{-1} < w+) && w+ - buffer{-1} > buffer - w+
+  // Instead of using the buffer directly we use its distance to too_high.
+  // Conceptually rest ~= too_high - buffer
+  while (rest < small_distance &&  // Negated condition 1
+         unsafe_interval - rest >= ten_kappa &&  // Negated condition 2
+         (rest + ten_kappa < small_distance ||  // buffer{-1} > w+
+          small_distance - rest >= rest + ten_kappa - small_distance)) {
+    buffer[length - 1]--;
+    rest += ten_kappa;
+  }
+
+  // We have approached w+ as much as possible. We now test if approaching w-
+  // would require changing the buffer. If yes, then we have two possible
+  // representations close to w, but we cannot decide which one is closer.
+  if (rest < big_distance &&
+      unsafe_interval - rest >= ten_kappa &&
+      (rest + ten_kappa < big_distance ||
+       big_distance - rest > rest + ten_kappa - big_distance)) {
+    return false;
+  }
+
+  // Weeding test.
+  //   The safe interval is [too_low + 2 ulp; too_high - 2 ulp]
+  //   Since too_low = too_high - unsafe_interval this is equivalent too
+  //      [too_high - unsafe_interval + 4 ulp; too_high - 2 ulp]
+  //   Conceptually we have: rest ~= too_high - buffer
+  return (2 * unit <= rest) && (rest <= unsafe_interval - 4 * unit);
+}
+
+
+bool grisu3(double v,
+            char* buffer, int* sign, int* length, int* decimal_point) {
+  ASSERT(v != 0);
+  ASSERT(!Double(v).IsSpecial());
+
+  if (v < 0) {
+    v = -v;
+    *sign = 1;
+  } else {
+    *sign = 0;
+  }
+  int decimal_exponent;
+  bool result = Grisu3<-60, -32>::grisu3(v, buffer, length, &decimal_exponent);
+  *decimal_point = *length + decimal_exponent;
+  buffer[*length] = '\0';
+  return result;
+}
+
+} }  // namespace v8::internal

diff --git a/src/grisu3.h b/src/grisu3.h
new file mode 100644 (file)
index 0000000..b41ca37
--- /dev/null
+++ b/src/grisu3.h
@@ -0,0 +1,55 @@
+// Copyright 2010 the V8 project authors. All rights reserved.
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are
+// met:
+//
+//     * Redistributions of source code must retain the above copyright
+//       notice, this list of conditions and the following disclaimer.
+//     * Redistributions in binary form must reproduce the above
+//       copyright notice, this list of conditions and the following
+//       disclaimer in the documentation and/or other materials provided
+//       with the distribution.
+//     * Neither the name of Google Inc. nor the names of its
+//       contributors may be used to endorse or promote products derived
+//       from this software without specific prior written permission.
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+#ifndef V8_GRISU3_H_
+#define V8_GRISU3_H_
+
+namespace v8 {
+namespace internal {
+
+// Grisu3 will produce at most kGrisu3MaximalLength digits. This does not
+// include the terminating '\0' character.
+static const int kGrisu3MaximalLength = 17;
+
+// Provides a decimal representation of v.
+//   v must satisfy v != 0 and it must not be Infinity or NaN.
+// Returns true if it succeeds, otherwise the result can not be trusted.
+// There will be *length digits inside the buffer followed by a null terminator.
+// If the function returns true then
+//   v == (double) (buffer * 10^(decimal-point - length)).
+// The digits in the buffer are the shortest representation possible: no
+// 0.099999999999 instead of 0.1.
+// The last digit will be closest to the actual v. That is, even if several
+// digits might correctly yield 'v' when read again, the buffer will contain the
+// one closest to v.
+// The variable 'sign' will be '0' if the given number is positive, and '1'
+//   otherwise.
+bool grisu3(double d, char* buffer, int* sign, int* length, int* decimal_point);
+
+} }  // namespace v8::internal
+
+#endif  // V8_GRISU3_H_

diff --git a/src/powers_ten.h b/src/powers_ten.h
new file mode 100644 (file)
index 0000000..3619ab1
--- /dev/null
+++ b/src/powers_ten.h
@@ -0,0 +1,2460 @@
+// ------------ GENERATED FILE ----------------
+// command used:
+//  tools/generate-ten-powers --from -308 --to 342 --mantissa-size 64 --round round -o src/powers_ten.h  // NOLINT
+
+// This file is intended to be included inside another .h or .cc files
+// with the following defines set:
+//  GRISU_CACHE_STRUCT: should expand to the name of a struct that will
+//   hold the cached powers of ten. Each entry will hold a 64-bit
+//   significand, a 16-bit signed binary exponent, and a 16-bit
+//   signed decimal exponent. Each entry will be constructed as follows:
+//      { significand, binary_exponent, decimal_exponent }.
+//  GRISU_CACHE_NAME(i): generates the name for the different caches.
+//   The parameter i will be a number in the range 1-20. A cache will
+//   hold every i'th element of a full cache. GRISU_CACHE_NAME(1) will
+//   thus hold all elements. The higher i the fewer elements it has.
+//   Ideally the user should only reference one cache and let the
+//   compiler remove the unused ones.
+//  GRISU_CACHE_MAX_DISTANCE(i): generates the name for the maximum
+//   binary exponent distance between all elements of a given cache.
+//  GRISU_CACHE_OFFSET: is used as variable name for the decimal
+//   exponent offset. It is equal to -cache[0].decimal_exponent.
+//  GRISU_UINT64_C: used to construct 64-bit values in a platform
+//   independent way. In order to encode 0x123456789ABCDEF0 the macro
+//   will be invoked as follows: GRISU_UINT64_C(0x12345678,9ABCDEF0).
+
+
+static const GRISU_CACHE_STRUCT GRISU_CACHE_NAME(1)[] = {
+  {GRISU_UINT64_C(0xe61acf03, 3d1a45df), -1087, -308},
+  {GRISU_UINT64_C(0x8fd0c162, 06306bac), -1083, -307},
+  {GRISU_UINT64_C(0xb3c4f1ba, 87bc8697), -1080, -306},
+  {GRISU_UINT64_C(0xe0b62e29, 29aba83c), -1077, -305},
+  {GRISU_UINT64_C(0x8c71dcd9, ba0b4926), -1073, -304},
+  {GRISU_UINT64_C(0xaf8e5410, 288e1b6f), -1070, -303},
+  {GRISU_UINT64_C(0xdb71e914, 32b1a24b), -1067, -302},
+  {GRISU_UINT64_C(0x892731ac, 9faf056f), -1063, -301},
+  {GRISU_UINT64_C(0xab70fe17, c79ac6ca), -1060, -300},
+  {GRISU_UINT64_C(0xd64d3d9d, b981787d), -1057, -299},
+  {GRISU_UINT64_C(0x85f04682, 93f0eb4e), -1053, -298},
+  {GRISU_UINT64_C(0xa76c5823, 38ed2622), -1050, -297},
+  {GRISU_UINT64_C(0xd1476e2c, 07286faa), -1047, -296},
+  {GRISU_UINT64_C(0x82cca4db, 847945ca), -1043, -295},
+  {GRISU_UINT64_C(0xa37fce12, 6597973d), -1040, -294},
+  {GRISU_UINT64_C(0xcc5fc196, fefd7d0c), -1037, -293},
+  {GRISU_UINT64_C(0xff77b1fc, bebcdc4f), -1034, -292},
+  {GRISU_UINT64_C(0x9faacf3d, f73609b1), -1030, -291},
+  {GRISU_UINT64_C(0xc795830d, 75038c1e), -1027, -290},
+  {GRISU_UINT64_C(0xf97ae3d0, d2446f25), -1024, -289},
+  {GRISU_UINT64_C(0x9becce62, 836ac577), -1020, -288},
+  {GRISU_UINT64_C(0xc2e801fb, 244576d5), -1017, -287},
+  {GRISU_UINT64_C(0xf3a20279, ed56d48a), -1014, -286},
+  {GRISU_UINT64_C(0x9845418c, 345644d7), -1010, -285},
+  {GRISU_UINT64_C(0xbe5691ef, 416bd60c), -1007, -284},
+  {GRISU_UINT64_C(0xedec366b, 11c6cb8f), -1004, -283},
+  {GRISU_UINT64_C(0x94b3a202, eb1c3f39), -1000, -282},
+  {GRISU_UINT64_C(0xb9e08a83, a5e34f08), -997, -281},
+  {GRISU_UINT64_C(0xe858ad24, 8f5c22ca), -994, -280},
+  {GRISU_UINT64_C(0x91376c36, d99995be), -990, -279},
+  {GRISU_UINT64_C(0xb5854744, 8ffffb2e), -987, -278},
+  {GRISU_UINT64_C(0xe2e69915, b3fff9f9), -984, -277},
+  {GRISU_UINT64_C(0x8dd01fad, 907ffc3c), -980, -276},
+  {GRISU_UINT64_C(0xb1442798, f49ffb4b), -977, -275},
+  {GRISU_UINT64_C(0xdd95317f, 31c7fa1d), -974, -274},
+  {GRISU_UINT64_C(0x8a7d3eef, 7f1cfc52), -970, -273},
+  {GRISU_UINT64_C(0xad1c8eab, 5ee43b67), -967, -272},
+  {GRISU_UINT64_C(0xd863b256, 369d4a41), -964, -271},
+  {GRISU_UINT64_C(0x873e4f75, e2224e68), -960, -270},
+  {GRISU_UINT64_C(0xa90de353, 5aaae202), -957, -269},
+  {GRISU_UINT64_C(0xd3515c28, 31559a83), -954, -268},
+  {GRISU_UINT64_C(0x8412d999, 1ed58092), -950, -267},
+  {GRISU_UINT64_C(0xa5178fff, 668ae0b6), -947, -266},
+  {GRISU_UINT64_C(0xce5d73ff, 402d98e4), -944, -265},
+  {GRISU_UINT64_C(0x80fa687f, 881c7f8e), -940, -264},
+  {GRISU_UINT64_C(0xa139029f, 6a239f72), -937, -263},
+  {GRISU_UINT64_C(0xc9874347, 44ac874f), -934, -262},
+  {GRISU_UINT64_C(0xfbe91419, 15d7a922), -931, -261},
+  {GRISU_UINT64_C(0x9d71ac8f, ada6c9b5), -927, -260},
+  {GRISU_UINT64_C(0xc4ce17b3, 99107c23), -924, -259},
+  {GRISU_UINT64_C(0xf6019da0, 7f549b2b), -921, -258},
+  {GRISU_UINT64_C(0x99c10284, 4f94e0fb), -917, -257},
+  {GRISU_UINT64_C(0xc0314325, 637a193a), -914, -256},
+  {GRISU_UINT64_C(0xf03d93ee, bc589f88), -911, -255},
+  {GRISU_UINT64_C(0x96267c75, 35b763b5), -907, -254},
+  {GRISU_UINT64_C(0xbbb01b92, 83253ca3), -904, -253},
+  {GRISU_UINT64_C(0xea9c2277, 23ee8bcb), -901, -252},
+  {GRISU_UINT64_C(0x92a1958a, 7675175f), -897, -251},
+  {GRISU_UINT64_C(0xb749faed, 14125d37), -894, -250},
+  {GRISU_UINT64_C(0xe51c79a8, 5916f485), -891, -249},
+  {GRISU_UINT64_C(0x8f31cc09, 37ae58d3), -887, -248},
+  {GRISU_UINT64_C(0xb2fe3f0b, 8599ef08), -884, -247},
+  {GRISU_UINT64_C(0xdfbdcece, 67006ac9), -881, -246},
+  {GRISU_UINT64_C(0x8bd6a141, 006042be), -877, -245},
+  {GRISU_UINT64_C(0xaecc4991, 4078536d), -874, -244},
+  {GRISU_UINT64_C(0xda7f5bf5, 90966849), -871, -243},
+  {GRISU_UINT64_C(0x888f9979, 7a5e012d), -867, -242},
+  {GRISU_UINT64_C(0xaab37fd7, d8f58179), -864, -241},
+  {GRISU_UINT64_C(0xd5605fcd, cf32e1d7), -861, -240},
+  {GRISU_UINT64_C(0x855c3be0, a17fcd26), -857, -239},
+  {GRISU_UINT64_C(0xa6b34ad8, c9dfc070), -854, -238},
+  {GRISU_UINT64_C(0xd0601d8e, fc57b08c), -851, -237},
+  {GRISU_UINT64_C(0x823c1279, 5db6ce57), -847, -236},
+  {GRISU_UINT64_C(0xa2cb1717, b52481ed), -844, -235},
+  {GRISU_UINT64_C(0xcb7ddcdd, a26da269), -841, -234},
+  {GRISU_UINT64_C(0xfe5d5415, 0b090b03), -838, -233},
+  {GRISU_UINT64_C(0x9efa548d, 26e5a6e2), -834, -232},
+  {GRISU_UINT64_C(0xc6b8e9b0, 709f109a), -831, -231},
+  {GRISU_UINT64_C(0xf867241c, 8cc6d4c1), -828, -230},
+  {GRISU_UINT64_C(0x9b407691, d7fc44f8), -824, -229},
+  {GRISU_UINT64_C(0xc2109436, 4dfb5637), -821, -228},
+  {GRISU_UINT64_C(0xf294b943, e17a2bc4), -818, -227},
+  {GRISU_UINT64_C(0x979cf3ca, 6cec5b5b), -814, -226},
+  {GRISU_UINT64_C(0xbd8430bd, 08277231), -811, -225},
+  {GRISU_UINT64_C(0xece53cec, 4a314ebe), -808, -224},
+  {GRISU_UINT64_C(0x940f4613, ae5ed137), -804, -223},
+  {GRISU_UINT64_C(0xb9131798, 99f68584), -801, -222},
+  {GRISU_UINT64_C(0xe757dd7e, c07426e5), -798, -221},
+  {GRISU_UINT64_C(0x9096ea6f, 3848984f), -794, -220},
+  {GRISU_UINT64_C(0xb4bca50b, 065abe63), -791, -219},
+  {GRISU_UINT64_C(0xe1ebce4d, c7f16dfc), -788, -218},
+  {GRISU_UINT64_C(0x8d3360f0, 9cf6e4bd), -784, -217},
+  {GRISU_UINT64_C(0xb080392c, c4349ded), -781, -216},
+  {GRISU_UINT64_C(0xdca04777, f541c568), -778, -215},
+  {GRISU_UINT64_C(0x89e42caa, f9491b61), -774, -214},
+  {GRISU_UINT64_C(0xac5d37d5, b79b6239), -771, -213},
+  {GRISU_UINT64_C(0xd77485cb, 25823ac7), -768, -212},
+  {GRISU_UINT64_C(0x86a8d39e, f77164bd), -764, -211},
+  {GRISU_UINT64_C(0xa8530886, b54dbdec), -761, -210},
+  {GRISU_UINT64_C(0xd267caa8, 62a12d67), -758, -209},
+  {GRISU_UINT64_C(0x8380dea9, 3da4bc60), -754, -208},
+  {GRISU_UINT64_C(0xa4611653, 8d0deb78), -751, -207},
+  {GRISU_UINT64_C(0xcd795be8, 70516656), -748, -206},
+  {GRISU_UINT64_C(0x806bd971, 4632dff6), -744, -205},
+  {GRISU_UINT64_C(0xa086cfcd, 97bf97f4), -741, -204},
+  {GRISU_UINT64_C(0xc8a883c0, fdaf7df0), -738, -203},
+  {GRISU_UINT64_C(0xfad2a4b1, 3d1b5d6c), -735, -202},
+  {GRISU_UINT64_C(0x9cc3a6ee, c6311a64), -731, -201},
+  {GRISU_UINT64_C(0xc3f490aa, 77bd60fd), -728, -200},
+  {GRISU_UINT64_C(0xf4f1b4d5, 15acb93c), -725, -199},
+  {GRISU_UINT64_C(0x99171105, 2d8bf3c5), -721, -198},
+  {GRISU_UINT64_C(0xbf5cd546, 78eef0b7), -718, -197},
+  {GRISU_UINT64_C(0xef340a98, 172aace5), -715, -196},
+  {GRISU_UINT64_C(0x9580869f, 0e7aac0f), -711, -195},
+  {GRISU_UINT64_C(0xbae0a846, d2195713), -708, -194},
+  {GRISU_UINT64_C(0xe998d258, 869facd7), -705, -193},
+  {GRISU_UINT64_C(0x91ff8377, 5423cc06), -701, -192},
+  {GRISU_UINT64_C(0xb67f6455, 292cbf08), -698, -191},
+  {GRISU_UINT64_C(0xe41f3d6a, 7377eeca), -695, -190},
+  {GRISU_UINT64_C(0x8e938662, 882af53e), -691, -189},
+  {GRISU_UINT64_C(0xb23867fb, 2a35b28e), -688, -188},
+  {GRISU_UINT64_C(0xdec681f9, f4c31f31), -685, -187},
+  {GRISU_UINT64_C(0x8b3c113c, 38f9f37f), -681, -186},
+  {GRISU_UINT64_C(0xae0b158b, 4738705f), -678, -185},
+  {GRISU_UINT64_C(0xd98ddaee, 19068c76), -675, -184},
+  {GRISU_UINT64_C(0x87f8a8d4, cfa417ca), -671, -183},
+  {GRISU_UINT64_C(0xa9f6d30a, 038d1dbc), -668, -182},
+  {GRISU_UINT64_C(0xd47487cc, 8470652b), -665, -181},
+  {GRISU_UINT64_C(0x84c8d4df, d2c63f3b), -661, -180},
+  {GRISU_UINT64_C(0xa5fb0a17, c777cf0a), -658, -179},
+  {GRISU_UINT64_C(0xcf79cc9d, b955c2cc), -655, -178},
+  {GRISU_UINT64_C(0x81ac1fe2, 93d599c0), -651, -177},
+  {GRISU_UINT64_C(0xa21727db, 38cb0030), -648, -176},
+  {GRISU_UINT64_C(0xca9cf1d2, 06fdc03c), -645, -175},
+  {GRISU_UINT64_C(0xfd442e46, 88bd304b), -642, -174},
+  {GRISU_UINT64_C(0x9e4a9cec, 15763e2f), -638, -173},
+  {GRISU_UINT64_C(0xc5dd4427, 1ad3cdba), -635, -172},
+  {GRISU_UINT64_C(0xf7549530, e188c129), -632, -171},
+  {GRISU_UINT64_C(0x9a94dd3e, 8cf578ba), -628, -170},
+  {GRISU_UINT64_C(0xc13a148e, 3032d6e8), -625, -169},
+  {GRISU_UINT64_C(0xf18899b1, bc3f8ca2), -622, -168},
+  {GRISU_UINT64_C(0x96f5600f, 15a7b7e5), -618, -167},
+  {GRISU_UINT64_C(0xbcb2b812, db11a5de), -615, -166},
+  {GRISU_UINT64_C(0xebdf6617, 91d60f56), -612, -165},
+  {GRISU_UINT64_C(0x936b9fce, bb25c996), -608, -164},
+  {GRISU_UINT64_C(0xb84687c2, 69ef3bfb), -605, -163},
+  {GRISU_UINT64_C(0xe65829b3, 046b0afa), -602, -162},
+  {GRISU_UINT64_C(0x8ff71a0f, e2c2e6dc), -598, -161},
+  {GRISU_UINT64_C(0xb3f4e093, db73a093), -595, -160},
+  {GRISU_UINT64_C(0xe0f218b8, d25088b8), -592, -159},
+  {GRISU_UINT64_C(0x8c974f73, 83725573), -588, -158},
+  {GRISU_UINT64_C(0xafbd2350, 644eead0), -585, -157},
+  {GRISU_UINT64_C(0xdbac6c24, 7d62a584), -582, -156},
+  {GRISU_UINT64_C(0x894bc396, ce5da772), -578, -155},
+  {GRISU_UINT64_C(0xab9eb47c, 81f5114f), -575, -154},
+  {GRISU_UINT64_C(0xd686619b, a27255a3), -572, -153},
+  {GRISU_UINT64_C(0x8613fd01, 45877586), -568, -152},
+  {GRISU_UINT64_C(0xa798fc41, 96e952e7), -565, -151},
+  {GRISU_UINT64_C(0xd17f3b51, fca3a7a1), -562, -150},
+  {GRISU_UINT64_C(0x82ef8513, 3de648c5), -558, -149},
+  {GRISU_UINT64_C(0xa3ab6658, 0d5fdaf6), -555, -148},
+  {GRISU_UINT64_C(0xcc963fee, 10b7d1b3), -552, -147},
+  {GRISU_UINT64_C(0xffbbcfe9, 94e5c620), -549, -146},
+  {GRISU_UINT64_C(0x9fd561f1, fd0f9bd4), -545, -145},
+  {GRISU_UINT64_C(0xc7caba6e, 7c5382c9), -542, -144},
+  {GRISU_UINT64_C(0xf9bd690a, 1b68637b), -539, -143},
+  {GRISU_UINT64_C(0x9c1661a6, 51213e2d), -535, -142},
+  {GRISU_UINT64_C(0xc31bfa0f, e5698db8), -532, -141},
+  {GRISU_UINT64_C(0xf3e2f893, dec3f126), -529, -140},
+  {GRISU_UINT64_C(0x986ddb5c, 6b3a76b8), -525, -139},
+  {GRISU_UINT64_C(0xbe895233, 86091466), -522, -138},
+  {GRISU_UINT64_C(0xee2ba6c0, 678b597f), -519, -137},
+  {GRISU_UINT64_C(0x94db4838, 40b717f0), -515, -136},
+  {GRISU_UINT64_C(0xba121a46, 50e4ddec), -512, -135},
+  {GRISU_UINT64_C(0xe896a0d7, e51e1566), -509, -134},
+  {GRISU_UINT64_C(0x915e2486, ef32cd60), -505, -133},
+  {GRISU_UINT64_C(0xb5b5ada8, aaff80b8), -502, -132},
+  {GRISU_UINT64_C(0xe3231912, d5bf60e6), -499, -131},
+  {GRISU_UINT64_C(0x8df5efab, c5979c90), -495, -130},
+  {GRISU_UINT64_C(0xb1736b96, b6fd83b4), -492, -129},
+  {GRISU_UINT64_C(0xddd0467c, 64bce4a1), -489, -128},
+  {GRISU_UINT64_C(0x8aa22c0d, bef60ee4), -485, -127},
+  {GRISU_UINT64_C(0xad4ab711, 2eb3929e), -482, -126},
+  {GRISU_UINT64_C(0xd89d64d5, 7a607745), -479, -125},
+  {GRISU_UINT64_C(0x87625f05, 6c7c4a8b), -475, -124},
+  {GRISU_UINT64_C(0xa93af6c6, c79b5d2e), -472, -123},
+  {GRISU_UINT64_C(0xd389b478, 79823479), -469, -122},
+  {GRISU_UINT64_C(0x843610cb, 4bf160cc), -465, -121},
+  {GRISU_UINT64_C(0xa54394fe, 1eedb8ff), -462, -120},
+  {GRISU_UINT64_C(0xce947a3d, a6a9273e), -459, -119},
+  {GRISU_UINT64_C(0x811ccc66, 8829b887), -455, -118},
+  {GRISU_UINT64_C(0xa163ff80, 2a3426a9), -452, -117},
+  {GRISU_UINT64_C(0xc9bcff60, 34c13053), -449, -116},
+  {GRISU_UINT64_C(0xfc2c3f38, 41f17c68), -446, -115},
+  {GRISU_UINT64_C(0x9d9ba783, 2936edc1), -442, -114},
+  {GRISU_UINT64_C(0xc5029163, f384a931), -439, -113},
+  {GRISU_UINT64_C(0xf64335bc, f065d37d), -436, -112},
+  {GRISU_UINT64_C(0x99ea0196, 163fa42e), -432, -111},
+  {GRISU_UINT64_C(0xc06481fb, 9bcf8d3a), -429, -110},
+  {GRISU_UINT64_C(0xf07da27a, 82c37088), -426, -109},
+  {GRISU_UINT64_C(0x964e858c, 91ba2655), -422, -108},
+  {GRISU_UINT64_C(0xbbe226ef, b628afeb), -419, -107},
+  {GRISU_UINT64_C(0xeadab0ab, a3b2dbe5), -416, -106},
+  {GRISU_UINT64_C(0x92c8ae6b, 464fc96f), -412, -105},
+  {GRISU_UINT64_C(0xb77ada06, 17e3bbcb), -409, -104},
+  {GRISU_UINT64_C(0xe5599087, 9ddcaabe), -406, -103},
+  {GRISU_UINT64_C(0x8f57fa54, c2a9eab7), -402, -102},
+  {GRISU_UINT64_C(0xb32df8e9, f3546564), -399, -101},
+  {GRISU_UINT64_C(0xdff97724, 70297ebd), -396, -100},
+  {GRISU_UINT64_C(0x8bfbea76, c619ef36), -392, -99},
+  {GRISU_UINT64_C(0xaefae514, 77a06b04), -389, -98},
+  {GRISU_UINT64_C(0xdab99e59, 958885c5), -386, -97},
+  {GRISU_UINT64_C(0x88b402f7, fd75539b), -382, -96},
+  {GRISU_UINT64_C(0xaae103b5, fcd2a882), -379, -95},
+  {GRISU_UINT64_C(0xd59944a3, 7c0752a2), -376, -94},
+  {GRISU_UINT64_C(0x857fcae6, 2d8493a5), -372, -93},
+  {GRISU_UINT64_C(0xa6dfbd9f, b8e5b88f), -369, -92},
+  {GRISU_UINT64_C(0xd097ad07, a71f26b2), -366, -91},
+  {GRISU_UINT64_C(0x825ecc24, c8737830), -362, -90},
+  {GRISU_UINT64_C(0xa2f67f2d, fa90563b), -359, -89},
+  {GRISU_UINT64_C(0xcbb41ef9, 79346bca), -356, -88},
+  {GRISU_UINT64_C(0xfea126b7, d78186bd), -353, -87},
+  {GRISU_UINT64_C(0x9f24b832, e6b0f436), -349, -86},
+  {GRISU_UINT64_C(0xc6ede63f, a05d3144), -346, -85},
+  {GRISU_UINT64_C(0xf8a95fcf, 88747d94), -343, -84},
+  {GRISU_UINT64_C(0x9b69dbe1, b548ce7d), -339, -83},
+  {GRISU_UINT64_C(0xc24452da, 229b021c), -336, -82},
+  {GRISU_UINT64_C(0xf2d56790, ab41c2a3), -333, -81},
+  {GRISU_UINT64_C(0x97c560ba, 6b0919a6), -329, -80},
+  {GRISU_UINT64_C(0xbdb6b8e9, 05cb600f), -326, -79},
+  {GRISU_UINT64_C(0xed246723, 473e3813), -323, -78},
+  {GRISU_UINT64_C(0x9436c076, 0c86e30c), -319, -77},
+  {GRISU_UINT64_C(0xb9447093, 8fa89bcf), -316, -76},
+  {GRISU_UINT64_C(0xe7958cb8, 7392c2c3), -313, -75},
+  {GRISU_UINT64_C(0x90bd77f3, 483bb9ba), -309, -74},
+  {GRISU_UINT64_C(0xb4ecd5f0, 1a4aa828), -306, -73},
+  {GRISU_UINT64_C(0xe2280b6c, 20dd5232), -303, -72},
+  {GRISU_UINT64_C(0x8d590723, 948a535f), -299, -71},
+  {GRISU_UINT64_C(0xb0af48ec, 79ace837), -296, -70},
+  {GRISU_UINT64_C(0xdcdb1b27, 98182245), -293, -69},
+  {GRISU_UINT64_C(0x8a08f0f8, bf0f156b), -289, -68},
+  {GRISU_UINT64_C(0xac8b2d36, eed2dac6), -286, -67},
+  {GRISU_UINT64_C(0xd7adf884, aa879177), -283, -66},
+  {GRISU_UINT64_C(0x86ccbb52, ea94baeb), -279, -65},
+  {GRISU_UINT64_C(0xa87fea27, a539e9a5), -276, -64},
+  {GRISU_UINT64_C(0xd29fe4b1, 8e88640f), -273, -63},
+  {GRISU_UINT64_C(0x83a3eeee, f9153e89), -269, -62},
+  {GRISU_UINT64_C(0xa48ceaaa, b75a8e2b), -266, -61},
+  {GRISU_UINT64_C(0xcdb02555, 653131b6), -263, -60},
+  {GRISU_UINT64_C(0x808e1755, 5f3ebf12), -259, -59},
+  {GRISU_UINT64_C(0xa0b19d2a, b70e6ed6), -256, -58},
+  {GRISU_UINT64_C(0xc8de0475, 64d20a8c), -253, -57},
+  {GRISU_UINT64_C(0xfb158592, be068d2f), -250, -56},
+  {GRISU_UINT64_C(0x9ced737b, b6c4183d), -246, -55},
+  {GRISU_UINT64_C(0xc428d05a, a4751e4d), -243, -54},
+  {GRISU_UINT64_C(0xf5330471, 4d9265e0), -240, -53},
+  {GRISU_UINT64_C(0x993fe2c6, d07b7fac), -236, -52},
+  {GRISU_UINT64_C(0xbf8fdb78, 849a5f97), -233, -51},
+  {GRISU_UINT64_C(0xef73d256, a5c0f77d), -230, -50},
+  {GRISU_UINT64_C(0x95a86376, 27989aae), -226, -49},
+  {GRISU_UINT64_C(0xbb127c53, b17ec159), -223, -48},
+  {GRISU_UINT64_C(0xe9d71b68, 9dde71b0), -220, -47},
+  {GRISU_UINT64_C(0x92267121, 62ab070e), -216, -46},
+  {GRISU_UINT64_C(0xb6b00d69, bb55c8d1), -213, -45},
+  {GRISU_UINT64_C(0xe45c10c4, 2a2b3b06), -210, -44},
+  {GRISU_UINT64_C(0x8eb98a7a, 9a5b04e3), -206, -43},
+  {GRISU_UINT64_C(0xb267ed19, 40f1c61c), -203, -42},
+  {GRISU_UINT64_C(0xdf01e85f, 912e37a3), -200, -41},
+  {GRISU_UINT64_C(0x8b61313b, babce2c6), -196, -40},
+  {GRISU_UINT64_C(0xae397d8a, a96c1b78), -193, -39},
+  {GRISU_UINT64_C(0xd9c7dced, 53c72256), -190, -38},
+  {GRISU_UINT64_C(0x881cea14, 545c7575), -186, -37},
+  {GRISU_UINT64_C(0xaa242499, 697392d3), -183, -36},
+  {GRISU_UINT64_C(0xd4ad2dbf, c3d07788), -180, -35},
+  {GRISU_UINT64_C(0x84ec3c97, da624ab5), -176, -34},
+  {GRISU_UINT64_C(0xa6274bbd, d0fadd62), -173, -33},
+  {GRISU_UINT64_C(0xcfb11ead, 453994ba), -170, -32},
+  {GRISU_UINT64_C(0x81ceb32c, 4b43fcf5), -166, -31},
+  {GRISU_UINT64_C(0xa2425ff7, 5e14fc32), -163, -30},
+  {GRISU_UINT64_C(0xcad2f7f5, 359a3b3e), -160, -29},
+  {GRISU_UINT64_C(0xfd87b5f2, 8300ca0e), -157, -28},
+  {GRISU_UINT64_C(0x9e74d1b7, 91e07e48), -153, -27},
+  {GRISU_UINT64_C(0xc6120625, 76589ddb), -150, -26},
+  {GRISU_UINT64_C(0xf79687ae, d3eec551), -147, -25},
+  {GRISU_UINT64_C(0x9abe14cd, 44753b53), -143, -24},
+  {GRISU_UINT64_C(0xc16d9a00, 95928a27), -140, -23},
+  {GRISU_UINT64_C(0xf1c90080, baf72cb1), -137, -22},
+  {GRISU_UINT64_C(0x971da050, 74da7bef), -133, -21},
+  {GRISU_UINT64_C(0xbce50864, 92111aeb), -130, -20},
+  {GRISU_UINT64_C(0xec1e4a7d, b69561a5), -127, -19},
+  {GRISU_UINT64_C(0x9392ee8e, 921d5d07), -123, -18},
+  {GRISU_UINT64_C(0xb877aa32, 36a4b449), -120, -17},
+  {GRISU_UINT64_C(0xe69594be, c44de15b), -117, -16},
+  {GRISU_UINT64_C(0x901d7cf7, 3ab0acd9), -113, -15},
+  {GRISU_UINT64_C(0xb424dc35, 095cd80f), -110, -14},
+  {GRISU_UINT64_C(0xe12e1342, 4bb40e13), -107, -13},
+  {GRISU_UINT64_C(0x8cbccc09, 6f5088cc), -103, -12},
+  {GRISU_UINT64_C(0xafebff0b, cb24aaff), -100, -11},
+  {GRISU_UINT64_C(0xdbe6fece, bdedd5bf), -97, -10},
+  {GRISU_UINT64_C(0x89705f41, 36b4a597), -93, -9},
+  {GRISU_UINT64_C(0xabcc7711, 8461cefd), -90, -8},
+  {GRISU_UINT64_C(0xd6bf94d5, e57a42bc), -87, -7},
+  {GRISU_UINT64_C(0x8637bd05, af6c69b6), -83, -6},
+  {GRISU_UINT64_C(0xa7c5ac47, 1b478423), -80, -5},
+  {GRISU_UINT64_C(0xd1b71758, e219652c), -77, -4},
+  {GRISU_UINT64_C(0x83126e97, 8d4fdf3b), -73, -3},
+  {GRISU_UINT64_C(0xa3d70a3d, 70a3d70a), -70, -2},
+  {GRISU_UINT64_C(0xcccccccc, cccccccd), -67, -1},
+  {GRISU_UINT64_C(0x80000000, 00000000), -63, 0},
+  {GRISU_UINT64_C(0xa0000000, 00000000), -60, 1},
+  {GRISU_UINT64_C(0xc8000000, 00000000), -57, 2},
+  {GRISU_UINT64_C(0xfa000000, 00000000), -54, 3},
+  {GRISU_UINT64_C(0x9c400000, 00000000), -50, 4},
+  {GRISU_UINT64_C(0xc3500000, 00000000), -47, 5},
+  {GRISU_UINT64_C(0xf4240000, 00000000), -44, 6},
+  {GRISU_UINT64_C(0x98968000, 00000000), -40, 7},
+  {GRISU_UINT64_C(0xbebc2000, 00000000), -37, 8},
+  {GRISU_UINT64_C(0xee6b2800, 00000000), -34, 9},
+  {GRISU_UINT64_C(0x9502f900, 00000000), -30, 10},
+  {GRISU_UINT64_C(0xba43b740, 00000000), -27, 11},
+  {GRISU_UINT64_C(0xe8d4a510, 00000000), -24, 12},
+  {GRISU_UINT64_C(0x9184e72a, 00000000), -20, 13},
+  {GRISU_UINT64_C(0xb5e620f4, 80000000), -17, 14},
+  {GRISU_UINT64_C(0xe35fa931, a0000000), -14, 15},
+  {GRISU_UINT64_C(0x8e1bc9bf, 04000000), -10, 16},
+  {GRISU_UINT64_C(0xb1a2bc2e, c5000000), -7, 17},
+  {GRISU_UINT64_C(0xde0b6b3a, 76400000), -4, 18},
+  {GRISU_UINT64_C(0x8ac72304, 89e80000), 0, 19},
+  {GRISU_UINT64_C(0xad78ebc5, ac620000), 3, 20},
+  {GRISU_UINT64_C(0xd8d726b7, 177a8000), 6, 21},
+  {GRISU_UINT64_C(0x87867832, 6eac9000), 10, 22},
+  {GRISU_UINT64_C(0xa968163f, 0a57b400), 13, 23},
+  {GRISU_UINT64_C(0xd3c21bce, cceda100), 16, 24},
+  {GRISU_UINT64_C(0x84595161, 401484a0), 20, 25},
+  {GRISU_UINT64_C(0xa56fa5b9, 9019a5c8), 23, 26},
+  {GRISU_UINT64_C(0xcecb8f27, f4200f3a), 26, 27},
+  {GRISU_UINT64_C(0x813f3978, f8940984), 30, 28},
+  {GRISU_UINT64_C(0xa18f07d7, 36b90be5), 33, 29},
+  {GRISU_UINT64_C(0xc9f2c9cd, 04674edf), 36, 30},
+  {GRISU_UINT64_C(0xfc6f7c40, 45812296), 39, 31},
+  {GRISU_UINT64_C(0x9dc5ada8, 2b70b59e), 43, 32},
+  {GRISU_UINT64_C(0xc5371912, 364ce305), 46, 33},
+  {GRISU_UINT64_C(0xf684df56, c3e01bc7), 49, 34},
+  {GRISU_UINT64_C(0x9a130b96, 3a6c115c), 53, 35},
+  {GRISU_UINT64_C(0xc097ce7b, c90715b3), 56, 36},
+  {GRISU_UINT64_C(0xf0bdc21a, bb48db20), 59, 37},
+  {GRISU_UINT64_C(0x96769950, b50d88f4), 63, 38},
+  {GRISU_UINT64_C(0xbc143fa4, e250eb31), 66, 39},
+  {GRISU_UINT64_C(0xeb194f8e, 1ae525fd), 69, 40},
+  {GRISU_UINT64_C(0x92efd1b8, d0cf37be), 73, 41},
+  {GRISU_UINT64_C(0xb7abc627, 050305ae), 76, 42},
+  {GRISU_UINT64_C(0xe596b7b0, c643c719), 79, 43},
+  {GRISU_UINT64_C(0x8f7e32ce, 7bea5c70), 83, 44},
+  {GRISU_UINT64_C(0xb35dbf82, 1ae4f38c), 86, 45},
+  {GRISU_UINT64_C(0xe0352f62, a19e306f), 89, 46},
+  {GRISU_UINT64_C(0x8c213d9d, a502de45), 93, 47},
+  {GRISU_UINT64_C(0xaf298d05, 0e4395d7), 96, 48},
+  {GRISU_UINT64_C(0xdaf3f046, 51d47b4c), 99, 49},
+  {GRISU_UINT64_C(0x88d8762b, f324cd10), 103, 50},
+  {GRISU_UINT64_C(0xab0e93b6, efee0054), 106, 51},
+  {GRISU_UINT64_C(0xd5d238a4, abe98068), 109, 52},
+  {GRISU_UINT64_C(0x85a36366, eb71f041), 113, 53},
+  {GRISU_UINT64_C(0xa70c3c40, a64e6c52), 116, 54},
+  {GRISU_UINT64_C(0xd0cf4b50, cfe20766), 119, 55},
+  {GRISU_UINT64_C(0x82818f12, 81ed44a0), 123, 56},
+  {GRISU_UINT64_C(0xa321f2d7, 226895c8), 126, 57},
+  {GRISU_UINT64_C(0xcbea6f8c, eb02bb3a), 129, 58},
+  {GRISU_UINT64_C(0xfee50b70, 25c36a08), 132, 59},
+  {GRISU_UINT64_C(0x9f4f2726, 179a2245), 136, 60},
+  {GRISU_UINT64_C(0xc722f0ef, 9d80aad6), 139, 61},
+  {GRISU_UINT64_C(0xf8ebad2b, 84e0d58c), 142, 62},
+  {GRISU_UINT64_C(0x9b934c3b, 330c8577), 146, 63},
+  {GRISU_UINT64_C(0xc2781f49, ffcfa6d5), 149, 64},
+  {GRISU_UINT64_C(0xf316271c, 7fc3908b), 152, 65},
+  {GRISU_UINT64_C(0x97edd871, cfda3a57), 156, 66},
+  {GRISU_UINT64_C(0xbde94e8e, 43d0c8ec), 159, 67},
+  {GRISU_UINT64_C(0xed63a231, d4c4fb27), 162, 68},
+  {GRISU_UINT64_C(0x945e455f, 24fb1cf9), 166, 69},
+  {GRISU_UINT64_C(0xb975d6b6, ee39e437), 169, 70},
+  {GRISU_UINT64_C(0xe7d34c64, a9c85d44), 172, 71},
+  {GRISU_UINT64_C(0x90e40fbe, ea1d3a4b), 176, 72},
+  {GRISU_UINT64_C(0xb51d13ae, a4a488dd), 179, 73},
+  {GRISU_UINT64_C(0xe264589a, 4dcdab15), 182, 74},
+  {GRISU_UINT64_C(0x8d7eb760, 70a08aed), 186, 75},
+  {GRISU_UINT64_C(0xb0de6538, 8cc8ada8), 189, 76},
+  {GRISU_UINT64_C(0xdd15fe86, affad912), 192, 77},
+  {GRISU_UINT64_C(0x8a2dbf14, 2dfcc7ab), 196, 78},
+  {GRISU_UINT64_C(0xacb92ed9, 397bf996), 199, 79},
+  {GRISU_UINT64_C(0xd7e77a8f, 87daf7fc), 202, 80},
+  {GRISU_UINT64_C(0x86f0ac99, b4e8dafd), 206, 81},
+  {GRISU_UINT64_C(0xa8acd7c0, 222311bd), 209, 82},
+  {GRISU_UINT64_C(0xd2d80db0, 2aabd62c), 212, 83},
+  {GRISU_UINT64_C(0x83c7088e, 1aab65db), 216, 84},
+  {GRISU_UINT64_C(0xa4b8cab1, a1563f52), 219, 85},
+  {GRISU_UINT64_C(0xcde6fd5e, 09abcf27), 222, 86},
+  {GRISU_UINT64_C(0x80b05e5a, c60b6178), 226, 87},
+  {GRISU_UINT64_C(0xa0dc75f1, 778e39d6), 229, 88},
+  {GRISU_UINT64_C(0xc913936d, d571c84c), 232, 89},
+  {GRISU_UINT64_C(0xfb587849, 4ace3a5f), 235, 90},
+  {GRISU_UINT64_C(0x9d174b2d, cec0e47b), 239, 91},
+  {GRISU_UINT64_C(0xc45d1df9, 42711d9a), 242, 92},
+  {GRISU_UINT64_C(0xf5746577, 930d6501), 245, 93},
+  {GRISU_UINT64_C(0x9968bf6a, bbe85f20), 249, 94},
+  {GRISU_UINT64_C(0xbfc2ef45, 6ae276e9), 252, 95},
+  {GRISU_UINT64_C(0xefb3ab16, c59b14a3), 255, 96},
+  {GRISU_UINT64_C(0x95d04aee, 3b80ece6), 259, 97},
+  {GRISU_UINT64_C(0xbb445da9, ca61281f), 262, 98},
+  {GRISU_UINT64_C(0xea157514, 3cf97227), 265, 99},
+  {GRISU_UINT64_C(0x924d692c, a61be758), 269, 100},
+  {GRISU_UINT64_C(0xb6e0c377, cfa2e12e), 272, 101},
+  {GRISU_UINT64_C(0xe498f455, c38b997a), 275, 102},
+  {GRISU_UINT64_C(0x8edf98b5, 9a373fec), 279, 103},
+  {GRISU_UINT64_C(0xb2977ee3, 00c50fe7), 282, 104},
+  {GRISU_UINT64_C(0xdf3d5e9b, c0f653e1), 285, 105},
+  {GRISU_UINT64_C(0x8b865b21, 5899f46d), 289, 106},
+  {GRISU_UINT64_C(0xae67f1e9, aec07188), 292, 107},
+  {GRISU_UINT64_C(0xda01ee64, 1a708dea), 295, 108},
+  {GRISU_UINT64_C(0x884134fe, 908658b2), 299, 109},
+  {GRISU_UINT64_C(0xaa51823e, 34a7eedf), 302, 110},
+  {GRISU_UINT64_C(0xd4e5e2cd, c1d1ea96), 305, 111},
+  {GRISU_UINT64_C(0x850fadc0, 9923329e), 309, 112},
+  {GRISU_UINT64_C(0xa6539930, bf6bff46), 312, 113},
+  {GRISU_UINT64_C(0xcfe87f7c, ef46ff17), 315, 114},
+  {GRISU_UINT64_C(0x81f14fae, 158c5f6e), 319, 115},
+  {GRISU_UINT64_C(0xa26da399, 9aef774a), 322, 116},
+  {GRISU_UINT64_C(0xcb090c80, 01ab551c), 325, 117},
+  {GRISU_UINT64_C(0xfdcb4fa0, 02162a63), 328, 118},
+  {GRISU_UINT64_C(0x9e9f11c4, 014dda7e), 332, 119},
+  {GRISU_UINT64_C(0xc646d635, 01a1511e), 335, 120},
+  {GRISU_UINT64_C(0xf7d88bc2, 4209a565), 338, 121},
+  {GRISU_UINT64_C(0x9ae75759, 6946075f), 342, 122},
+  {GRISU_UINT64_C(0xc1a12d2f, c3978937), 345, 123},
+  {GRISU_UINT64_C(0xf209787b, b47d6b85), 348, 124},
+  {GRISU_UINT64_C(0x9745eb4d, 50ce6333), 352, 125},
+  {GRISU_UINT64_C(0xbd176620, a501fc00), 355, 126},
+  {GRISU_UINT64_C(0xec5d3fa8, ce427b00), 358, 127},
+  {GRISU_UINT64_C(0x93ba47c9, 80e98ce0), 362, 128},
+  {GRISU_UINT64_C(0xb8a8d9bb, e123f018), 365, 129},
+  {GRISU_UINT64_C(0xe6d3102a, d96cec1e), 368, 130},
+  {GRISU_UINT64_C(0x9043ea1a, c7e41393), 372, 131},
+  {GRISU_UINT64_C(0xb454e4a1, 79dd1877), 375, 132},
+  {GRISU_UINT64_C(0xe16a1dc9, d8545e95), 378, 133},
+  {GRISU_UINT64_C(0x8ce2529e, 2734bb1d), 382, 134},
+  {GRISU_UINT64_C(0xb01ae745, b101e9e4), 385, 135},
+  {GRISU_UINT64_C(0xdc21a117, 1d42645d), 388, 136},
+  {GRISU_UINT64_C(0x899504ae, 72497eba), 392, 137},
+  {GRISU_UINT64_C(0xabfa45da, 0edbde69), 395, 138},
+  {GRISU_UINT64_C(0xd6f8d750, 9292d603), 398, 139},
+  {GRISU_UINT64_C(0x865b8692, 5b9bc5c2), 402, 140},
+  {GRISU_UINT64_C(0xa7f26836, f282b733), 405, 141},
+  {GRISU_UINT64_C(0xd1ef0244, af2364ff), 408, 142},
+  {GRISU_UINT64_C(0x8335616a, ed761f1f), 412, 143},
+  {GRISU_UINT64_C(0xa402b9c5, a8d3a6e7), 415, 144},
+  {GRISU_UINT64_C(0xcd036837, 130890a1), 418, 145},
+  {GRISU_UINT64_C(0x80222122, 6be55a65), 422, 146},
+  {GRISU_UINT64_C(0xa02aa96b, 06deb0fe), 425, 147},
+  {GRISU_UINT64_C(0xc83553c5, c8965d3d), 428, 148},
+  {GRISU_UINT64_C(0xfa42a8b7, 3abbf48d), 431, 149},
+  {GRISU_UINT64_C(0x9c69a972, 84b578d8), 435, 150},
+  {GRISU_UINT64_C(0xc38413cf, 25e2d70e), 438, 151},
+  {GRISU_UINT64_C(0xf46518c2, ef5b8cd1), 441, 152},
+  {GRISU_UINT64_C(0x98bf2f79, d5993803), 445, 153},
+  {GRISU_UINT64_C(0xbeeefb58, 4aff8604), 448, 154},
+  {GRISU_UINT64_C(0xeeaaba2e, 5dbf6785), 451, 155},
+  {GRISU_UINT64_C(0x952ab45c, fa97a0b3), 455, 156},
+  {GRISU_UINT64_C(0xba756174, 393d88e0), 458, 157},
+  {GRISU_UINT64_C(0xe912b9d1, 478ceb17), 461, 158},
+  {GRISU_UINT64_C(0x91abb422, ccb812ef), 465, 159},
+  {GRISU_UINT64_C(0xb616a12b, 7fe617aa), 468, 160},
+  {GRISU_UINT64_C(0xe39c4976, 5fdf9d95), 471, 161},
+  {GRISU_UINT64_C(0x8e41ade9, fbebc27d), 475, 162},
+  {GRISU_UINT64_C(0xb1d21964, 7ae6b31c), 478, 163},
+  {GRISU_UINT64_C(0xde469fbd, 99a05fe3), 481, 164},
+  {GRISU_UINT64_C(0x8aec23d6, 80043bee), 485, 165},
+  {GRISU_UINT64_C(0xada72ccc, 20054aea), 488, 166},
+  {GRISU_UINT64_C(0xd910f7ff, 28069da4), 491, 167},
+  {GRISU_UINT64_C(0x87aa9aff, 79042287), 495, 168},
+  {GRISU_UINT64_C(0xa99541bf, 57452b28), 498, 169},
+  {GRISU_UINT64_C(0xd3fa922f, 2d1675f2), 501, 170},
+  {GRISU_UINT64_C(0x847c9b5d, 7c2e09b7), 505, 171},
+  {GRISU_UINT64_C(0xa59bc234, db398c25), 508, 172},
+  {GRISU_UINT64_C(0xcf02b2c2, 1207ef2f), 511, 173},
+  {GRISU_UINT64_C(0x8161afb9, 4b44f57d), 515, 174},
+  {GRISU_UINT64_C(0xa1ba1ba7, 9e1632dc), 518, 175},
+  {GRISU_UINT64_C(0xca28a291, 859bbf93), 521, 176},
+  {GRISU_UINT64_C(0xfcb2cb35, e702af78), 524, 177},
+  {GRISU_UINT64_C(0x9defbf01, b061adab), 528, 178},
+  {GRISU_UINT64_C(0xc56baec2, 1c7a1916), 531, 179},
+  {GRISU_UINT64_C(0xf6c69a72, a3989f5c), 534, 180},
+  {GRISU_UINT64_C(0x9a3c2087, a63f6399), 538, 181},
+  {GRISU_UINT64_C(0xc0cb28a9, 8fcf3c80), 541, 182},
+  {GRISU_UINT64_C(0xf0fdf2d3, f3c30b9f), 544, 183},
+  {GRISU_UINT64_C(0x969eb7c4, 7859e744), 548, 184},
+  {GRISU_UINT64_C(0xbc4665b5, 96706115), 551, 185},
+  {GRISU_UINT64_C(0xeb57ff22, fc0c795a), 554, 186},
+  {GRISU_UINT64_C(0x9316ff75, dd87cbd8), 558, 187},
+  {GRISU_UINT64_C(0xb7dcbf53, 54e9bece), 561, 188},
+  {GRISU_UINT64_C(0xe5d3ef28, 2a242e82), 564, 189},
+  {GRISU_UINT64_C(0x8fa47579, 1a569d11), 568, 190},
+  {GRISU_UINT64_C(0xb38d92d7, 60ec4455), 571, 191},
+  {GRISU_UINT64_C(0xe070f78d, 3927556b), 574, 192},
+  {GRISU_UINT64_C(0x8c469ab8, 43b89563), 578, 193},
+  {GRISU_UINT64_C(0xaf584166, 54a6babb), 581, 194},
+  {GRISU_UINT64_C(0xdb2e51bf, e9d0696a), 584, 195},
+  {GRISU_UINT64_C(0x88fcf317, f22241e2), 588, 196},
+  {GRISU_UINT64_C(0xab3c2fdd, eeaad25b), 591, 197},
+  {GRISU_UINT64_C(0xd60b3bd5, 6a5586f2), 594, 198},
+  {GRISU_UINT64_C(0x85c70565, 62757457), 598, 199},
+  {GRISU_UINT64_C(0xa738c6be, bb12d16d), 601, 200},
+  {GRISU_UINT64_C(0xd106f86e, 69d785c8), 604, 201},
+  {GRISU_UINT64_C(0x82a45b45, 0226b39d), 608, 202},
+  {GRISU_UINT64_C(0xa34d7216, 42b06084), 611, 203},
+  {GRISU_UINT64_C(0xcc20ce9b, d35c78a5), 614, 204},
+  {GRISU_UINT64_C(0xff290242, c83396ce), 617, 205},
+  {GRISU_UINT64_C(0x9f79a169, bd203e41), 621, 206},
+  {GRISU_UINT64_C(0xc75809c4, 2c684dd1), 624, 207},
+  {GRISU_UINT64_C(0xf92e0c35, 37826146), 627, 208},
+  {GRISU_UINT64_C(0x9bbcc7a1, 42b17ccc), 631, 209},
+  {GRISU_UINT64_C(0xc2abf989, 935ddbfe), 634, 210},
+  {GRISU_UINT64_C(0xf356f7eb, f83552fe), 637, 211},
+  {GRISU_UINT64_C(0x98165af3, 7b2153df), 641, 212},
+  {GRISU_UINT64_C(0xbe1bf1b0, 59e9a8d6), 644, 213},
+  {GRISU_UINT64_C(0xeda2ee1c, 7064130c), 647, 214},
+  {GRISU_UINT64_C(0x9485d4d1, c63e8be8), 651, 215},
+  {GRISU_UINT64_C(0xb9a74a06, 37ce2ee1), 654, 216},
+  {GRISU_UINT64_C(0xe8111c87, c5c1ba9a), 657, 217},
+  {GRISU_UINT64_C(0x910ab1d4, db9914a0), 661, 218},
+  {GRISU_UINT64_C(0xb54d5e4a, 127f59c8), 664, 219},
+  {GRISU_UINT64_C(0xe2a0b5dc, 971f303a), 667, 220},
+  {GRISU_UINT64_C(0x8da471a9, de737e24), 671, 221},
+  {GRISU_UINT64_C(0xb10d8e14, 56105dad), 674, 222},
+  {GRISU_UINT64_C(0xdd50f199, 6b947519), 677, 223},
+  {GRISU_UINT64_C(0x8a5296ff, e33cc930), 681, 224},
+  {GRISU_UINT64_C(0xace73cbf, dc0bfb7b), 684, 225},
+  {GRISU_UINT64_C(0xd8210bef, d30efa5a), 687, 226},
+  {GRISU_UINT64_C(0x8714a775, e3e95c78), 691, 227},
+  {GRISU_UINT64_C(0xa8d9d153, 5ce3b396), 694, 228},
+  {GRISU_UINT64_C(0xd31045a8, 341ca07c), 697, 229},
+  {GRISU_UINT64_C(0x83ea2b89, 2091e44e), 701, 230},
+  {GRISU_UINT64_C(0xa4e4b66b, 68b65d61), 704, 231},
+  {GRISU_UINT64_C(0xce1de406, 42e3f4b9), 707, 232},
+  {GRISU_UINT64_C(0x80d2ae83, e9ce78f4), 711, 233},
+  {GRISU_UINT64_C(0xa1075a24, e4421731), 714, 234},
+  {GRISU_UINT64_C(0xc94930ae, 1d529cfd), 717, 235},
+  {GRISU_UINT64_C(0xfb9b7cd9, a4a7443c), 720, 236},
+  {GRISU_UINT64_C(0x9d412e08, 06e88aa6), 724, 237},
+  {GRISU_UINT64_C(0xc491798a, 08a2ad4f), 727, 238},
+  {GRISU_UINT64_C(0xf5b5d7ec, 8acb58a3), 730, 239},
+  {GRISU_UINT64_C(0x9991a6f3, d6bf1766), 734, 240},
+  {GRISU_UINT64_C(0xbff610b0, cc6edd3f), 737, 241},
+  {GRISU_UINT64_C(0xeff394dc, ff8a948f), 740, 242},
+  {GRISU_UINT64_C(0x95f83d0a, 1fb69cd9), 744, 243},
+  {GRISU_UINT64_C(0xbb764c4c, a7a44410), 747, 244},
+  {GRISU_UINT64_C(0xea53df5f, d18d5514), 750, 245},
+  {GRISU_UINT64_C(0x92746b9b, e2f8552c), 754, 246},
+  {GRISU_UINT64_C(0xb7118682, dbb66a77), 757, 247},
+  {GRISU_UINT64_C(0xe4d5e823, 92a40515), 760, 248},
+  {GRISU_UINT64_C(0x8f05b116, 3ba6832d), 764, 249},
+  {GRISU_UINT64_C(0xb2c71d5b, ca9023f8), 767, 250},
+  {GRISU_UINT64_C(0xdf78e4b2, bd342cf7), 770, 251},
+  {GRISU_UINT64_C(0x8bab8eef, b6409c1a), 774, 252},
+  {GRISU_UINT64_C(0xae9672ab, a3d0c321), 777, 253},
+  {GRISU_UINT64_C(0xda3c0f56, 8cc4f3e9), 780, 254},
+  {GRISU_UINT64_C(0x88658996, 17fb1871), 784, 255},
+  {GRISU_UINT64_C(0xaa7eebfb, 9df9de8e), 787, 256},
+  {GRISU_UINT64_C(0xd51ea6fa, 85785631), 790, 257},
+  {GRISU_UINT64_C(0x8533285c, 936b35df), 794, 258},
+  {GRISU_UINT64_C(0xa67ff273, b8460357), 797, 259},
+  {GRISU_UINT64_C(0xd01fef10, a657842c), 800, 260},
+  {GRISU_UINT64_C(0x8213f56a, 67f6b29c), 804, 261},
+  {GRISU_UINT64_C(0xa298f2c5, 01f45f43), 807, 262},
+  {GRISU_UINT64_C(0xcb3f2f76, 42717713), 810, 263},
+  {GRISU_UINT64_C(0xfe0efb53, d30dd4d8), 813, 264},
+  {GRISU_UINT64_C(0x9ec95d14, 63e8a507), 817, 265},
+  {GRISU_UINT64_C(0xc67bb459, 7ce2ce49), 820, 266},
+  {GRISU_UINT64_C(0xf81aa16f, dc1b81db), 823, 267},
+  {GRISU_UINT64_C(0x9b10a4e5, e9913129), 827, 268},
+  {GRISU_UINT64_C(0xc1d4ce1f, 63f57d73), 830, 269},
+  {GRISU_UINT64_C(0xf24a01a7, 3cf2dcd0), 833, 270},
+  {GRISU_UINT64_C(0x976e4108, 8617ca02), 837, 271},
+  {GRISU_UINT64_C(0xbd49d14a, a79dbc82), 840, 272},
+  {GRISU_UINT64_C(0xec9c459d, 51852ba3), 843, 273},
+  {GRISU_UINT64_C(0x93e1ab82, 52f33b46), 847, 274},
+  {GRISU_UINT64_C(0xb8da1662, e7b00a17), 850, 275},
+  {GRISU_UINT64_C(0xe7109bfb, a19c0c9d), 853, 276},
+  {GRISU_UINT64_C(0x906a617d, 450187e2), 857, 277},
+  {GRISU_UINT64_C(0xb484f9dc, 9641e9db), 860, 278},
+  {GRISU_UINT64_C(0xe1a63853, bbd26451), 863, 279},
+  {GRISU_UINT64_C(0x8d07e334, 55637eb3), 867, 280},
+  {GRISU_UINT64_C(0xb049dc01, 6abc5e60), 870, 281},
+  {GRISU_UINT64_C(0xdc5c5301, c56b75f7), 873, 282},
+  {GRISU_UINT64_C(0x89b9b3e1, 1b6329bb), 877, 283},
+  {GRISU_UINT64_C(0xac2820d9, 623bf429), 880, 284},
+  {GRISU_UINT64_C(0xd732290f, bacaf134), 883, 285},
+  {GRISU_UINT64_C(0x867f59a9, d4bed6c0), 887, 286},
+  {GRISU_UINT64_C(0xa81f3014, 49ee8c70), 890, 287},
+  {GRISU_UINT64_C(0xd226fc19, 5c6a2f8c), 893, 288},
+  {GRISU_UINT64_C(0x83585d8f, d9c25db8), 897, 289},
+  {GRISU_UINT64_C(0xa42e74f3, d032f526), 900, 290},
+  {GRISU_UINT64_C(0xcd3a1230, c43fb26f), 903, 291},
+  {GRISU_UINT64_C(0x80444b5e, 7aa7cf85), 907, 292},
+  {GRISU_UINT64_C(0xa0555e36, 1951c367), 910, 293},
+  {GRISU_UINT64_C(0xc86ab5c3, 9fa63441), 913, 294},
+  {GRISU_UINT64_C(0xfa856334, 878fc151), 916, 295},
+  {GRISU_UINT64_C(0x9c935e00, d4b9d8d2), 920, 296},
+  {GRISU_UINT64_C(0xc3b83581, 09e84f07), 923, 297},
+  {GRISU_UINT64_C(0xf4a642e1, 4c6262c9), 926, 298},
+  {GRISU_UINT64_C(0x98e7e9cc, cfbd7dbe), 930, 299},
+  {GRISU_UINT64_C(0xbf21e440, 03acdd2d), 933, 300},
+  {GRISU_UINT64_C(0xeeea5d50, 04981478), 936, 301},
+  {GRISU_UINT64_C(0x95527a52, 02df0ccb), 940, 302},
+  {GRISU_UINT64_C(0xbaa718e6, 8396cffe), 943, 303},
+  {GRISU_UINT64_C(0xe950df20, 247c83fd), 946, 304},
+  {GRISU_UINT64_C(0x91d28b74, 16cdd27e), 950, 305},
+  {GRISU_UINT64_C(0xb6472e51, 1c81471e), 953, 306},
+  {GRISU_UINT64_C(0xe3d8f9e5, 63a198e5), 956, 307},
+  {GRISU_UINT64_C(0x8e679c2f, 5e44ff8f), 960, 308},
+  {GRISU_UINT64_C(0xb201833b, 35d63f73), 963, 309},
+  {GRISU_UINT64_C(0xde81e40a, 034bcf50), 966, 310},
+  {GRISU_UINT64_C(0x8b112e86, 420f6192), 970, 311},
+  {GRISU_UINT64_C(0xadd57a27, d29339f6), 973, 312},
+  {GRISU_UINT64_C(0xd94ad8b1, c7380874), 976, 313},
+  {GRISU_UINT64_C(0x87cec76f, 1c830549), 980, 314},
+  {GRISU_UINT64_C(0xa9c2794a, e3a3c69b), 983, 315},
+  {GRISU_UINT64_C(0xd433179d, 9c8cb841), 986, 316},
+  {GRISU_UINT64_C(0x849feec2, 81d7f329), 990, 317},
+  {GRISU_UINT64_C(0xa5c7ea73, 224deff3), 993, 318},
+  {GRISU_UINT64_C(0xcf39e50f, eae16bf0), 996, 319},
+  {GRISU_UINT64_C(0x81842f29, f2cce376), 1000, 320},
+  {GRISU_UINT64_C(0xa1e53af4, 6f801c53), 1003, 321},
+  {GRISU_UINT64_C(0xca5e89b1, 8b602368), 1006, 322},
+  {GRISU_UINT64_C(0xfcf62c1d, ee382c42), 1009, 323},
+  {GRISU_UINT64_C(0x9e19db92, b4e31ba9), 1013, 324},
+  {GRISU_UINT64_C(0xc5a05277, 621be294), 1016, 325},
+  {GRISU_UINT64_C(0xf7086715, 3aa2db39), 1019, 326},
+  {GRISU_UINT64_C(0x9a65406d, 44a5c903), 1023, 327},
+  {GRISU_UINT64_C(0xc0fe9088, 95cf3b44), 1026, 328},
+  {GRISU_UINT64_C(0xf13e34aa, bb430a15), 1029, 329},
+  {GRISU_UINT64_C(0x96c6e0ea, b509e64d), 1033, 330},
+  {GRISU_UINT64_C(0xbc789925, 624c5fe1), 1036, 331},
+  {GRISU_UINT64_C(0xeb96bf6e, badf77d9), 1039, 332},
+  {GRISU_UINT64_C(0x933e37a5, 34cbaae8), 1043, 333},
+  {GRISU_UINT64_C(0xb80dc58e, 81fe95a1), 1046, 334},
+  {GRISU_UINT64_C(0xe61136f2, 227e3b0a), 1049, 335},
+  {GRISU_UINT64_C(0x8fcac257, 558ee4e6), 1053, 336},
+  {GRISU_UINT64_C(0xb3bd72ed, 2af29e20), 1056, 337},
+  {GRISU_UINT64_C(0xe0accfa8, 75af45a8), 1059, 338},
+  {GRISU_UINT64_C(0x8c6c01c9, 498d8b89), 1063, 339},
+  {GRISU_UINT64_C(0xaf87023b, 9bf0ee6b), 1066, 340},
+  {GRISU_UINT64_C(0xdb68c2ca, 82ed2a06), 1069, 341},
+  {GRISU_UINT64_C(0x892179be, 91d43a44), 1073, 342},
+  };
+static const int GRISU_CACHE_MAX_DISTANCE(1) = 4;
+// nb elements (1): 651
+static const GRISU_CACHE_STRUCT GRISU_CACHE_NAME(2)[] = {
+  {GRISU_UINT64_C(0xe61acf03, 3d1a45df), -1087, -308},
+  {GRISU_UINT64_C(0xb3c4f1ba, 87bc8697), -1080, -306},
+  {GRISU_UINT64_C(0x8c71dcd9, ba0b4926), -1073, -304},
+  {GRISU_UINT64_C(0xdb71e914, 32b1a24b), -1067, -302},
+  {GRISU_UINT64_C(0xab70fe17, c79ac6ca), -1060, -300},
+  {GRISU_UINT64_C(0x85f04682, 93f0eb4e), -1053, -298},
+  {GRISU_UINT64_C(0xd1476e2c, 07286faa), -1047, -296},
+  {GRISU_UINT64_C(0xa37fce12, 6597973d), -1040, -294},
+  {GRISU_UINT64_C(0xff77b1fc, bebcdc4f), -1034, -292},
+  {GRISU_UINT64_C(0xc795830d, 75038c1e), -1027, -290},
+  {GRISU_UINT64_C(0x9becce62, 836ac577), -1020, -288},
+  {GRISU_UINT64_C(0xf3a20279, ed56d48a), -1014, -286},
+  {GRISU_UINT64_C(0xbe5691ef, 416bd60c), -1007, -284},
+  {GRISU_UINT64_C(0x94b3a202, eb1c3f39), -1000, -282},
+  {GRISU_UINT64_C(0xe858ad24, 8f5c22ca), -994, -280},
+  {GRISU_UINT64_C(0xb5854744, 8ffffb2e), -987, -278},
+  {GRISU_UINT64_C(0x8dd01fad, 907ffc3c), -980, -276},
+  {GRISU_UINT64_C(0xdd95317f, 31c7fa1d), -974, -274},
+  {GRISU_UINT64_C(0xad1c8eab, 5ee43b67), -967, -272},
+  {GRISU_UINT64_C(0x873e4f75, e2224e68), -960, -270},
+  {GRISU_UINT64_C(0xd3515c28, 31559a83), -954, -268},
+  {GRISU_UINT64_C(0xa5178fff, 668ae0b6), -947, -266},
+  {GRISU_UINT64_C(0x80fa687f, 881c7f8e), -940, -264},
+  {GRISU_UINT64_C(0xc9874347, 44ac874f), -934, -262},
+  {GRISU_UINT64_C(0x9d71ac8f, ada6c9b5), -927, -260},
+  {GRISU_UINT64_C(0xf6019da0, 7f549b2b), -921, -258},
+  {GRISU_UINT64_C(0xc0314325, 637a193a), -914, -256},
+  {GRISU_UINT64_C(0x96267c75, 35b763b5), -907, -254},
+  {GRISU_UINT64_C(0xea9c2277, 23ee8bcb), -901, -252},
+  {GRISU_UINT64_C(0xb749faed, 14125d37), -894, -250},
+  {GRISU_UINT64_C(0x8f31cc09, 37ae58d3), -887, -248},
+  {GRISU_UINT64_C(0xdfbdcece, 67006ac9), -881, -246},
+  {GRISU_UINT64_C(0xaecc4991, 4078536d), -874, -244},
+  {GRISU_UINT64_C(0x888f9979, 7a5e012d), -867, -242},
+  {GRISU_UINT64_C(0xd5605fcd, cf32e1d7), -861, -240},
+  {GRISU_UINT64_C(0xa6b34ad8, c9dfc070), -854, -238},
+  {GRISU_UINT64_C(0x823c1279, 5db6ce57), -847, -236},
+  {GRISU_UINT64_C(0xcb7ddcdd, a26da269), -841, -234},
+  {GRISU_UINT64_C(0x9efa548d, 26e5a6e2), -834, -232},
+  {GRISU_UINT64_C(0xf867241c, 8cc6d4c1), -828, -230},
+  {GRISU_UINT64_C(0xc2109436, 4dfb5637), -821, -228},
+  {GRISU_UINT64_C(0x979cf3ca, 6cec5b5b), -814, -226},
+  {GRISU_UINT64_C(0xece53cec, 4a314ebe), -808, -224},
+  {GRISU_UINT64_C(0xb9131798, 99f68584), -801, -222},
+  {GRISU_UINT64_C(0x9096ea6f, 3848984f), -794, -220},
+  {GRISU_UINT64_C(0xe1ebce4d, c7f16dfc), -788, -218},
+  {GRISU_UINT64_C(0xb080392c, c4349ded), -781, -216},
+  {GRISU_UINT64_C(0x89e42caa, f9491b61), -774, -214},
+  {GRISU_UINT64_C(0xd77485cb, 25823ac7), -768, -212},
+  {GRISU_UINT64_C(0xa8530886, b54dbdec), -761, -210},
+  {GRISU_UINT64_C(0x8380dea9, 3da4bc60), -754, -208},
+  {GRISU_UINT64_C(0xcd795be8, 70516656), -748, -206},
+  {GRISU_UINT64_C(0xa086cfcd, 97bf97f4), -741, -204},
+  {GRISU_UINT64_C(0xfad2a4b1, 3d1b5d6c), -735, -202},
+  {GRISU_UINT64_C(0xc3f490aa, 77bd60fd), -728, -200},
+  {GRISU_UINT64_C(0x99171105, 2d8bf3c5), -721, -198},
+  {GRISU_UINT64_C(0xef340a98, 172aace5), -715, -196},
+  {GRISU_UINT64_C(0xbae0a846, d2195713), -708, -194},
+  {GRISU_UINT64_C(0x91ff8377, 5423cc06), -701, -192},
+  {GRISU_UINT64_C(0xe41f3d6a, 7377eeca), -695, -190},
+  {GRISU_UINT64_C(0xb23867fb, 2a35b28e), -688, -188},
+  {GRISU_UINT64_C(0x8b3c113c, 38f9f37f), -681, -186},
+  {GRISU_UINT64_C(0xd98ddaee, 19068c76), -675, -184},
+  {GRISU_UINT64_C(0xa9f6d30a, 038d1dbc), -668, -182},
+  {GRISU_UINT64_C(0x84c8d4df, d2c63f3b), -661, -180},
+  {GRISU_UINT64_C(0xcf79cc9d, b955c2cc), -655, -178},
+  {GRISU_UINT64_C(0xa21727db, 38cb0030), -648, -176},
+  {GRISU_UINT64_C(0xfd442e46, 88bd304b), -642, -174},
+  {GRISU_UINT64_C(0xc5dd4427, 1ad3cdba), -635, -172},
+  {GRISU_UINT64_C(0x9a94dd3e, 8cf578ba), -628, -170},
+  {GRISU_UINT64_C(0xf18899b1, bc3f8ca2), -622, -168},
+  {GRISU_UINT64_C(0xbcb2b812, db11a5de), -615, -166},
+  {GRISU_UINT64_C(0x936b9fce, bb25c996), -608, -164},
+  {GRISU_UINT64_C(0xe65829b3, 046b0afa), -602, -162},
+  {GRISU_UINT64_C(0xb3f4e093, db73a093), -595, -160},
+  {GRISU_UINT64_C(0x8c974f73, 83725573), -588, -158},
+  {GRISU_UINT64_C(0xdbac6c24, 7d62a584), -582, -156},
+  {GRISU_UINT64_C(0xab9eb47c, 81f5114f), -575, -154},
+  {GRISU_UINT64_C(0x8613fd01, 45877586), -568, -152},
+  {GRISU_UINT64_C(0xd17f3b51, fca3a7a1), -562, -150},
+  {GRISU_UINT64_C(0xa3ab6658, 0d5fdaf6), -555, -148},
+  {GRISU_UINT64_C(0xffbbcfe9, 94e5c620), -549, -146},
+  {GRISU_UINT64_C(0xc7caba6e, 7c5382c9), -542, -144},
+  {GRISU_UINT64_C(0x9c1661a6, 51213e2d), -535, -142},
+  {GRISU_UINT64_C(0xf3e2f893, dec3f126), -529, -140},
+  {GRISU_UINT64_C(0xbe895233, 86091466), -522, -138},
+  {GRISU_UINT64_C(0x94db4838, 40b717f0), -515, -136},
+  {GRISU_UINT64_C(0xe896a0d7, e51e1566), -509, -134},
+  {GRISU_UINT64_C(0xb5b5ada8, aaff80b8), -502, -132},
+  {GRISU_UINT64_C(0x8df5efab, c5979c90), -495, -130},
+  {GRISU_UINT64_C(0xddd0467c, 64bce4a1), -489, -128},
+  {GRISU_UINT64_C(0xad4ab711, 2eb3929e), -482, -126},
+  {GRISU_UINT64_C(0x87625f05, 6c7c4a8b), -475, -124},
+  {GRISU_UINT64_C(0xd389b478, 79823479), -469, -122},
+  {GRISU_UINT64_C(0xa54394fe, 1eedb8ff), -462, -120},
+  {GRISU_UINT64_C(0x811ccc66, 8829b887), -455, -118},
+  {GRISU_UINT64_C(0xc9bcff60, 34c13053), -449, -116},
+  {GRISU_UINT64_C(0x9d9ba783, 2936edc1), -442, -114},
+  {GRISU_UINT64_C(0xf64335bc, f065d37d), -436, -112},
+  {GRISU_UINT64_C(0xc06481fb, 9bcf8d3a), -429, -110},
+  {GRISU_UINT64_C(0x964e858c, 91ba2655), -422, -108},
+  {GRISU_UINT64_C(0xeadab0ab, a3b2dbe5), -416, -106},
+  {GRISU_UINT64_C(0xb77ada06, 17e3bbcb), -409, -104},
+  {GRISU_UINT64_C(0x8f57fa54, c2a9eab7), -402, -102},
+  {GRISU_UINT64_C(0xdff97724, 70297ebd), -396, -100},
+  {GRISU_UINT64_C(0xaefae514, 77a06b04), -389, -98},
+  {GRISU_UINT64_C(0x88b402f7, fd75539b), -382, -96},
+  {GRISU_UINT64_C(0xd59944a3, 7c0752a2), -376, -94},
+  {GRISU_UINT64_C(0xa6dfbd9f, b8e5b88f), -369, -92},
+  {GRISU_UINT64_C(0x825ecc24, c8737830), -362, -90},
+  {GRISU_UINT64_C(0xcbb41ef9, 79346bca), -356, -88},
+  {GRISU_UINT64_C(0x9f24b832, e6b0f436), -349, -86},
+  {GRISU_UINT64_C(0xf8a95fcf, 88747d94), -343, -84},
+  {GRISU_UINT64_C(0xc24452da, 229b021c), -336, -82},
+  {GRISU_UINT64_C(0x97c560ba, 6b0919a6), -329, -80},
+  {GRISU_UINT64_C(0xed246723, 473e3813), -323, -78},
+  {GRISU_UINT64_C(0xb9447093, 8fa89bcf), -316, -76},
+  {GRISU_UINT64_C(0x90bd77f3, 483bb9ba), -309, -74},
+  {GRISU_UINT64_C(0xe2280b6c, 20dd5232), -303, -72},
+  {GRISU_UINT64_C(0xb0af48ec, 79ace837), -296, -70},
+  {GRISU_UINT64_C(0x8a08f0f8, bf0f156b), -289, -68},
+  {GRISU_UINT64_C(0xd7adf884, aa879177), -283, -66},
+  {GRISU_UINT64_C(0xa87fea27, a539e9a5), -276, -64},
+  {GRISU_UINT64_C(0x83a3eeee, f9153e89), -269, -62},
+  {GRISU_UINT64_C(0xcdb02555, 653131b6), -263, -60},
+  {GRISU_UINT64_C(0xa0b19d2a, b70e6ed6), -256, -58},
+  {GRISU_UINT64_C(0xfb158592, be068d2f), -250, -56},
+  {GRISU_UINT64_C(0xc428d05a, a4751e4d), -243, -54},
+  {GRISU_UINT64_C(0x993fe2c6, d07b7fac), -236, -52},
+  {GRISU_UINT64_C(0xef73d256, a5c0f77d), -230, -50},
+  {GRISU_UINT64_C(0xbb127c53, b17ec159), -223, -48},
+  {GRISU_UINT64_C(0x92267121, 62ab070e), -216, -46},
+  {GRISU_UINT64_C(0xe45c10c4, 2a2b3b06), -210, -44},
+  {GRISU_UINT64_C(0xb267ed19, 40f1c61c), -203, -42},
+  {GRISU_UINT64_C(0x8b61313b, babce2c6), -196, -40},
+  {GRISU_UINT64_C(0xd9c7dced, 53c72256), -190, -38},
+  {GRISU_UINT64_C(0xaa242499, 697392d3), -183, -36},
+  {GRISU_UINT64_C(0x84ec3c97, da624ab5), -176, -34},
+  {GRISU_UINT64_C(0xcfb11ead, 453994ba), -170, -32},
+  {GRISU_UINT64_C(0xa2425ff7, 5e14fc32), -163, -30},
+  {GRISU_UINT64_C(0xfd87b5f2, 8300ca0e), -157, -28},
+  {GRISU_UINT64_C(0xc6120625, 76589ddb), -150, -26},
+  {GRISU_UINT64_C(0x9abe14cd, 44753b53), -143, -24},
+  {GRISU_UINT64_C(0xf1c90080, baf72cb1), -137, -22},
+  {GRISU_UINT64_C(0xbce50864, 92111aeb), -130, -20},
+  {GRISU_UINT64_C(0x9392ee8e, 921d5d07), -123, -18},
+  {GRISU_UINT64_C(0xe69594be, c44de15b), -117, -16},
+  {GRISU_UINT64_C(0xb424dc35, 095cd80f), -110, -14},
+  {GRISU_UINT64_C(0x8cbccc09, 6f5088cc), -103, -12},
+  {GRISU_UINT64_C(0xdbe6fece, bdedd5bf), -97, -10},
+  {GRISU_UINT64_C(0xabcc7711, 8461cefd), -90, -8},
+  {GRISU_UINT64_C(0x8637bd05, af6c69b6), -83, -6},
+  {GRISU_UINT64_C(0xd1b71758, e219652c), -77, -4},
+  {GRISU_UINT64_C(0xa3d70a3d, 70a3d70a), -70, -2},
+  {GRISU_UINT64_C(0x80000000, 00000000), -63, 0},
+  {GRISU_UINT64_C(0xc8000000, 00000000), -57, 2},
+  {GRISU_UINT64_C(0x9c400000, 00000000), -50, 4},
+  {GRISU_UINT64_C(0xf4240000, 00000000), -44, 6},
+  {GRISU_UINT64_C(0xbebc2000, 00000000), -37, 8},
+  {GRISU_UINT64_C(0x9502f900, 00000000), -30, 10},
+  {GRISU_UINT64_C(0xe8d4a510, 00000000), -24, 12},
+  {GRISU_UINT64_C(0xb5e620f4, 80000000), -17, 14},
+  {GRISU_UINT64_C(0x8e1bc9bf, 04000000), -10, 16},
+  {GRISU_UINT64_C(0xde0b6b3a, 76400000), -4, 18},
+  {GRISU_UINT64_C(0xad78ebc5, ac620000), 3, 20},
+  {GRISU_UINT64_C(0x87867832, 6eac9000), 10, 22},
+  {GRISU_UINT64_C(0xd3c21bce, cceda100), 16, 24},
+  {GRISU_UINT64_C(0xa56fa5b9, 9019a5c8), 23, 26},
+  {GRISU_UINT64_C(0x813f3978, f8940984), 30, 28},
+  {GRISU_UINT64_C(0xc9f2c9cd, 04674edf), 36, 30},
+  {GRISU_UINT64_C(0x9dc5ada8, 2b70b59e), 43, 32},
+  {GRISU_UINT64_C(0xf684df56, c3e01bc7), 49, 34},
+  {GRISU_UINT64_C(0xc097ce7b, c90715b3), 56, 36},
+  {GRISU_UINT64_C(0x96769950, b50d88f4), 63, 38},
+  {GRISU_UINT64_C(0xeb194f8e, 1ae525fd), 69, 40},
+  {GRISU_UINT64_C(0xb7abc627, 050305ae), 76, 42},
+  {GRISU_UINT64_C(0x8f7e32ce, 7bea5c70), 83, 44},
+  {GRISU_UINT64_C(0xe0352f62, a19e306f), 89, 46},
+  {GRISU_UINT64_C(0xaf298d05, 0e4395d7), 96, 48},
+  {GRISU_UINT64_C(0x88d8762b, f324cd10), 103, 50},
+  {GRISU_UINT64_C(0xd5d238a4, abe98068), 109, 52},
+  {GRISU_UINT64_C(0xa70c3c40, a64e6c52), 116, 54},
+  {GRISU_UINT64_C(0x82818f12, 81ed44a0), 123, 56},
+  {GRISU_UINT64_C(0xcbea6f8c, eb02bb3a), 129, 58},
+  {GRISU_UINT64_C(0x9f4f2726, 179a2245), 136, 60},
+  {GRISU_UINT64_C(0xf8ebad2b, 84e0d58c), 142, 62},
+  {GRISU_UINT64_C(0xc2781f49, ffcfa6d5), 149, 64},
+  {GRISU_UINT64_C(0x97edd871, cfda3a57), 156, 66},
+  {GRISU_UINT64_C(0xed63a231, d4c4fb27), 162, 68},
+  {GRISU_UINT64_C(0xb975d6b6, ee39e437), 169, 70},
+  {GRISU_UINT64_C(0x90e40fbe, ea1d3a4b), 176, 72},
+  {GRISU_UINT64_C(0xe264589a, 4dcdab15), 182, 74},
+  {GRISU_UINT64_C(0xb0de6538, 8cc8ada8), 189, 76},
+  {GRISU_UINT64_C(0x8a2dbf14, 2dfcc7ab), 196, 78},
+  {GRISU_UINT64_C(0xd7e77a8f, 87daf7fc), 202, 80},
+  {GRISU_UINT64_C(0xa8acd7c0, 222311bd), 209, 82},
+  {GRISU_UINT64_C(0x83c7088e, 1aab65db), 216, 84},
+  {GRISU_UINT64_C(0xcde6fd5e, 09abcf27), 222, 86},
+  {GRISU_UINT64_C(0xa0dc75f1, 778e39d6), 229, 88},
+  {GRISU_UINT64_C(0xfb587849, 4ace3a5f), 235, 90},
+  {GRISU_UINT64_C(0xc45d1df9, 42711d9a), 242, 92},
+  {GRISU_UINT64_C(0x9968bf6a, bbe85f20), 249, 94},
+  {GRISU_UINT64_C(0xefb3ab16, c59b14a3), 255, 96},
+  {GRISU_UINT64_C(0xbb445da9, ca61281f), 262, 98},
+  {GRISU_UINT64_C(0x924d692c, a61be758), 269, 100},
+  {GRISU_UINT64_C(0xe498f455, c38b997a), 275, 102},
+  {GRISU_UINT64_C(0xb2977ee3, 00c50fe7), 282, 104},
+  {GRISU_UINT64_C(0x8b865b21, 5899f46d), 289, 106},
+  {GRISU_UINT64_C(0xda01ee64, 1a708dea), 295, 108},
+  {GRISU_UINT64_C(0xaa51823e, 34a7eedf), 302, 110},
+  {GRISU_UINT64_C(0x850fadc0, 9923329e), 309, 112},
+  {GRISU_UINT64_C(0xcfe87f7c, ef46ff17), 315, 114},
+  {GRISU_UINT64_C(0xa26da399, 9aef774a), 322, 116},
+  {GRISU_UINT64_C(0xfdcb4fa0, 02162a63), 328, 118},
+  {GRISU_UINT64_C(0xc646d635, 01a1511e), 335, 120},
+  {GRISU_UINT64_C(0x9ae75759, 6946075f), 342, 122},
+  {GRISU_UINT64_C(0xf209787b, b47d6b85), 348, 124},
+  {GRISU_UINT64_C(0xbd176620, a501fc00), 355, 126},
+  {GRISU_UINT64_C(0x93ba47c9, 80e98ce0), 362, 128},
+  {GRISU_UINT64_C(0xe6d3102a, d96cec1e), 368, 130},
+  {GRISU_UINT64_C(0xb454e4a1, 79dd1877), 375, 132},
+  {GRISU_UINT64_C(0x8ce2529e, 2734bb1d), 382, 134},
+  {GRISU_UINT64_C(0xdc21a117, 1d42645d), 388, 136},
+  {GRISU_UINT64_C(0xabfa45da, 0edbde69), 395, 138},
+  {GRISU_UINT64_C(0x865b8692, 5b9bc5c2), 402, 140},
+  {GRISU_UINT64_C(0xd1ef0244, af2364ff), 408, 142},
+  {GRISU_UINT64_C(0xa402b9c5, a8d3a6e7), 415, 144},
+  {GRISU_UINT64_C(0x80222122, 6be55a65), 422, 146},
+  {GRISU_UINT64_C(0xc83553c5, c8965d3d), 428, 148},
+  {GRISU_UINT64_C(0x9c69a972, 84b578d8), 435, 150},
+  {GRISU_UINT64_C(0xf46518c2, ef5b8cd1), 441, 152},
+  {GRISU_UINT64_C(0xbeeefb58, 4aff8604), 448, 154},
+  {GRISU_UINT64_C(0x952ab45c, fa97a0b3), 455, 156},
+  {GRISU_UINT64_C(0xe912b9d1, 478ceb17), 461, 158},
+  {GRISU_UINT64_C(0xb616a12b, 7fe617aa), 468, 160},
+  {GRISU_UINT64_C(0x8e41ade9, fbebc27d), 475, 162},
+  {GRISU_UINT64_C(0xde469fbd, 99a05fe3), 481, 164},
+  {GRISU_UINT64_C(0xada72ccc, 20054aea), 488, 166},
+  {GRISU_UINT64_C(0x87aa9aff, 79042287), 495, 168},
+  {GRISU_UINT64_C(0xd3fa922f, 2d1675f2), 501, 170},
+  {GRISU_UINT64_C(0xa59bc234, db398c25), 508, 172},
+  {GRISU_UINT64_C(0x8161afb9, 4b44f57d), 515, 174},
+  {GRISU_UINT64_C(0xca28a291, 859bbf93), 521, 176},
+  {GRISU_UINT64_C(0x9defbf01, b061adab), 528, 178},
+  {GRISU_UINT64_C(0xf6c69a72, a3989f5c), 534, 180},
+  {GRISU_UINT64_C(0xc0cb28a9, 8fcf3c80), 541, 182},
+  {GRISU_UINT64_C(0x969eb7c4, 7859e744), 548, 184},
+  {GRISU_UINT64_C(0xeb57ff22, fc0c795a), 554, 186},
+  {GRISU_UINT64_C(0xb7dcbf53, 54e9bece), 561, 188},
+  {GRISU_UINT64_C(0x8fa47579, 1a569d11), 568, 190},
+  {GRISU_UINT64_C(0xe070f78d, 3927556b), 574, 192},
+  {GRISU_UINT64_C(0xaf584166, 54a6babb), 581, 194},
+  {GRISU_UINT64_C(0x88fcf317, f22241e2), 588, 196},
+  {GRISU_UINT64_C(0xd60b3bd5, 6a5586f2), 594, 198},
+  {GRISU_UINT64_C(0xa738c6be, bb12d16d), 601, 200},
+  {GRISU_UINT64_C(0x82a45b45, 0226b39d), 608, 202},
+  {GRISU_UINT64_C(0xcc20ce9b, d35c78a5), 614, 204},
+  {GRISU_UINT64_C(0x9f79a169, bd203e41), 621, 206},
+  {GRISU_UINT64_C(0xf92e0c35, 37826146), 627, 208},
+  {GRISU_UINT64_C(0xc2abf989, 935ddbfe), 634, 210},
+  {GRISU_UINT64_C(0x98165af3, 7b2153df), 641, 212},
+  {GRISU_UINT64_C(0xeda2ee1c, 7064130c), 647, 214},
+  {GRISU_UINT64_C(0xb9a74a06, 37ce2ee1), 654, 216},
+  {GRISU_UINT64_C(0x910ab1d4, db9914a0), 661, 218},
+  {GRISU_UINT64_C(0xe2a0b5dc, 971f303a), 667, 220},
+  {GRISU_UINT64_C(0xb10d8e14, 56105dad), 674, 222},
+  {GRISU_UINT64_C(0x8a5296ff, e33cc930), 681, 224},
+  {GRISU_UINT64_C(0xd8210bef, d30efa5a), 687, 226},
+  {GRISU_UINT64_C(0xa8d9d153, 5ce3b396), 694, 228},
+  {GRISU_UINT64_C(0x83ea2b89, 2091e44e), 701, 230},
+  {GRISU_UINT64_C(0xce1de406, 42e3f4b9), 707, 232},
+  {GRISU_UINT64_C(0xa1075a24, e4421731), 714, 234},
+  {GRISU_UINT64_C(0xfb9b7cd9, a4a7443c), 720, 236},
+  {GRISU_UINT64_C(0xc491798a, 08a2ad4f), 727, 238},
+  {GRISU_UINT64_C(0x9991a6f3, d6bf1766), 734, 240},
+  {GRISU_UINT64_C(0xeff394dc, ff8a948f), 740, 242},
+  {GRISU_UINT64_C(0xbb764c4c, a7a44410), 747, 244},
+  {GRISU_UINT64_C(0x92746b9b, e2f8552c), 754, 246},
+  {GRISU_UINT64_C(0xe4d5e823, 92a40515), 760, 248},
+  {GRISU_UINT64_C(0xb2c71d5b, ca9023f8), 767, 250},
+  {GRISU_UINT64_C(0x8bab8eef, b6409c1a), 774, 252},
+  {GRISU_UINT64_C(0xda3c0f56, 8cc4f3e9), 780, 254},
+  {GRISU_UINT64_C(0xaa7eebfb, 9df9de8e), 787, 256},
+  {GRISU_UINT64_C(0x8533285c, 936b35df), 794, 258},
+  {GRISU_UINT64_C(0xd01fef10, a657842c), 800, 260},
+  {GRISU_UINT64_C(0xa298f2c5, 01f45f43), 807, 262},
+  {GRISU_UINT64_C(0xfe0efb53, d30dd4d8), 813, 264},
+  {GRISU_UINT64_C(0xc67bb459, 7ce2ce49), 820, 266},
+  {GRISU_UINT64_C(0x9b10a4e5, e9913129), 827, 268},
+  {GRISU_UINT64_C(0xf24a01a7, 3cf2dcd0), 833, 270},
+  {GRISU_UINT64_C(0xbd49d14a, a79dbc82), 840, 272},
+  {GRISU_UINT64_C(0x93e1ab82, 52f33b46), 847, 274},
+  {GRISU_UINT64_C(0xe7109bfb, a19c0c9d), 853, 276},
+  {GRISU_UINT64_C(0xb484f9dc, 9641e9db), 860, 278},
+  {GRISU_UINT64_C(0x8d07e334, 55637eb3), 867, 280},
+  {GRISU_UINT64_C(0xdc5c5301, c56b75f7), 873, 282},
+  {GRISU_UINT64_C(0xac2820d9, 623bf429), 880, 284},
+  {GRISU_UINT64_C(0x867f59a9, d4bed6c0), 887, 286},
+  {GRISU_UINT64_C(0xd226fc19, 5c6a2f8c), 893, 288},
+  {GRISU_UINT64_C(0xa42e74f3, d032f526), 900, 290},
+  {GRISU_UINT64_C(0x80444b5e, 7aa7cf85), 907, 292},
+  {GRISU_UINT64_C(0xc86ab5c3, 9fa63441), 913, 294},
+  {GRISU_UINT64_C(0x9c935e00, d4b9d8d2), 920, 296},
+  {GRISU_UINT64_C(0xf4a642e1, 4c6262c9), 926, 298},
+  {GRISU_UINT64_C(0xbf21e440, 03acdd2d), 933, 300},
+  {GRISU_UINT64_C(0x95527a52, 02df0ccb), 940, 302},
+  {GRISU_UINT64_C(0xe950df20, 247c83fd), 946, 304},
+  {GRISU_UINT64_C(0xb6472e51, 1c81471e), 953, 306},
+  {GRISU_UINT64_C(0x8e679c2f, 5e44ff8f), 960, 308},
+  {GRISU_UINT64_C(0xde81e40a, 034bcf50), 966, 310},
+  {GRISU_UINT64_C(0xadd57a27, d29339f6), 973, 312},
+  {GRISU_UINT64_C(0x87cec76f, 1c830549), 980, 314},
+  {GRISU_UINT64_C(0xd433179d, 9c8cb841), 986, 316},
+  {GRISU_UINT64_C(0xa5c7ea73, 224deff3), 993, 318},
+  {GRISU_UINT64_C(0x81842f29, f2cce376), 1000, 320},
+  {GRISU_UINT64_C(0xca5e89b1, 8b602368), 1006, 322},
+  {GRISU_UINT64_C(0x9e19db92, b4e31ba9), 1013, 324},
+  {GRISU_UINT64_C(0xf7086715, 3aa2db39), 1019, 326},
+  {GRISU_UINT64_C(0xc0fe9088, 95cf3b44), 1026, 328},
+  {GRISU_UINT64_C(0x96c6e0ea, b509e64d), 1033, 330},
+  {GRISU_UINT64_C(0xeb96bf6e, badf77d9), 1039, 332},
+  {GRISU_UINT64_C(0xb80dc58e, 81fe95a1), 1046, 334},
+  {GRISU_UINT64_C(0x8fcac257, 558ee4e6), 1053, 336},
+  {GRISU_UINT64_C(0xe0accfa8, 75af45a8), 1059, 338},
+  {GRISU_UINT64_C(0xaf87023b, 9bf0ee6b), 1066, 340},
+  {GRISU_UINT64_C(0x892179be, 91d43a44), 1073, 342},
+  };
+static const int GRISU_CACHE_MAX_DISTANCE(2) = 7;
+// nb elements (2): 326
+static const GRISU_CACHE_STRUCT GRISU_CACHE_NAME(3)[] = {
+  {GRISU_UINT64_C(0xe61acf03, 3d1a45df), -1087, -308},
+  {GRISU_UINT64_C(0xe0b62e29, 29aba83c), -1077, -305},
+  {GRISU_UINT64_C(0xdb71e914, 32b1a24b), -1067, -302},
+  {GRISU_UINT64_C(0xd64d3d9d, b981787d), -1057, -299},
+  {GRISU_UINT64_C(0xd1476e2c, 07286faa), -1047, -296},
+  {GRISU_UINT64_C(0xcc5fc196, fefd7d0c), -1037, -293},
+  {GRISU_UINT64_C(0xc795830d, 75038c1e), -1027, -290},
+  {GRISU_UINT64_C(0xc2e801fb, 244576d5), -1017, -287},
+  {GRISU_UINT64_C(0xbe5691ef, 416bd60c), -1007, -284},
+  {GRISU_UINT64_C(0xb9e08a83, a5e34f08), -997, -281},
+  {GRISU_UINT64_C(0xb5854744, 8ffffb2e), -987, -278},
+  {GRISU_UINT64_C(0xb1442798, f49ffb4b), -977, -275},
+  {GRISU_UINT64_C(0xad1c8eab, 5ee43b67), -967, -272},
+  {GRISU_UINT64_C(0xa90de353, 5aaae202), -957, -269},
+  {GRISU_UINT64_C(0xa5178fff, 668ae0b6), -947, -266},
+  {GRISU_UINT64_C(0xa139029f, 6a239f72), -937, -263},
+  {GRISU_UINT64_C(0x9d71ac8f, ada6c9b5), -927, -260},
+  {GRISU_UINT64_C(0x99c10284, 4f94e0fb), -917, -257},
+  {GRISU_UINT64_C(0x96267c75, 35b763b5), -907, -254},
+  {GRISU_UINT64_C(0x92a1958a, 7675175f), -897, -251},
+  {GRISU_UINT64_C(0x8f31cc09, 37ae58d3), -887, -248},
+  {GRISU_UINT64_C(0x8bd6a141, 006042be), -877, -245},
+  {GRISU_UINT64_C(0x888f9979, 7a5e012d), -867, -242},
+  {GRISU_UINT64_C(0x855c3be0, a17fcd26), -857, -239},
+  {GRISU_UINT64_C(0x823c1279, 5db6ce57), -847, -236},
+  {GRISU_UINT64_C(0xfe5d5415, 0b090b03), -838, -233},
+  {GRISU_UINT64_C(0xf867241c, 8cc6d4c1), -828, -230},
+  {GRISU_UINT64_C(0xf294b943, e17a2bc4), -818, -227},
+  {GRISU_UINT64_C(0xece53cec, 4a314ebe), -808, -224},
+  {GRISU_UINT64_C(0xe757dd7e, c07426e5), -798, -221},
+  {GRISU_UINT64_C(0xe1ebce4d, c7f16dfc), -788, -218},
+  {GRISU_UINT64_C(0xdca04777, f541c568), -778, -215},
+  {GRISU_UINT64_C(0xd77485cb, 25823ac7), -768, -212},
+  {GRISU_UINT64_C(0xd267caa8, 62a12d67), -758, -209},
+  {GRISU_UINT64_C(0xcd795be8, 70516656), -748, -206},
+  {GRISU_UINT64_C(0xc8a883c0, fdaf7df0), -738, -203},
+  {GRISU_UINT64_C(0xc3f490aa, 77bd60fd), -728, -200},
+  {GRISU_UINT64_C(0xbf5cd546, 78eef0b7), -718, -197},
+  {GRISU_UINT64_C(0xbae0a846, d2195713), -708, -194},
+  {GRISU_UINT64_C(0xb67f6455, 292cbf08), -698, -191},
+  {GRISU_UINT64_C(0xb23867fb, 2a35b28e), -688, -188},
+  {GRISU_UINT64_C(0xae0b158b, 4738705f), -678, -185},
+  {GRISU_UINT64_C(0xa9f6d30a, 038d1dbc), -668, -182},
+  {GRISU_UINT64_C(0xa5fb0a17, c777cf0a), -658, -179},
+  {GRISU_UINT64_C(0xa21727db, 38cb0030), -648, -176},
+  {GRISU_UINT64_C(0x9e4a9cec, 15763e2f), -638, -173},
+  {GRISU_UINT64_C(0x9a94dd3e, 8cf578ba), -628, -170},
+  {GRISU_UINT64_C(0x96f5600f, 15a7b7e5), -618, -167},
+  {GRISU_UINT64_C(0x936b9fce, bb25c996), -608, -164},
+  {GRISU_UINT64_C(0x8ff71a0f, e2c2e6dc), -598, -161},
+  {GRISU_UINT64_C(0x8c974f73, 83725573), -588, -158},
+  {GRISU_UINT64_C(0x894bc396, ce5da772), -578, -155},
+  {GRISU_UINT64_C(0x8613fd01, 45877586), -568, -152},
+  {GRISU_UINT64_C(0x82ef8513, 3de648c5), -558, -149},
+  {GRISU_UINT64_C(0xffbbcfe9, 94e5c620), -549, -146},
+  {GRISU_UINT64_C(0xf9bd690a, 1b68637b), -539, -143},
+  {GRISU_UINT64_C(0xf3e2f893, dec3f126), -529, -140},
+  {GRISU_UINT64_C(0xee2ba6c0, 678b597f), -519, -137},
+  {GRISU_UINT64_C(0xe896a0d7, e51e1566), -509, -134},
+  {GRISU_UINT64_C(0xe3231912, d5bf60e6), -499, -131},
+  {GRISU_UINT64_C(0xddd0467c, 64bce4a1), -489, -128},
+  {GRISU_UINT64_C(0xd89d64d5, 7a607745), -479, -125},
+  {GRISU_UINT64_C(0xd389b478, 79823479), -469, -122},
+  {GRISU_UINT64_C(0xce947a3d, a6a9273e), -459, -119},
+  {GRISU_UINT64_C(0xc9bcff60, 34c13053), -449, -116},
+  {GRISU_UINT64_C(0xc5029163, f384a931), -439, -113},
+  {GRISU_UINT64_C(0xc06481fb, 9bcf8d3a), -429, -110},
+  {GRISU_UINT64_C(0xbbe226ef, b628afeb), -419, -107},
+  {GRISU_UINT64_C(0xb77ada06, 17e3bbcb), -409, -104},
+  {GRISU_UINT64_C(0xb32df8e9, f3546564), -399, -101},
+  {GRISU_UINT64_C(0xaefae514, 77a06b04), -389, -98},
+  {GRISU_UINT64_C(0xaae103b5, fcd2a882), -379, -95},
+  {GRISU_UINT64_C(0xa6dfbd9f, b8e5b88f), -369, -92},
+  {GRISU_UINT64_C(0xa2f67f2d, fa90563b), -359, -89},
+  {GRISU_UINT64_C(0x9f24b832, e6b0f436), -349, -86},
+  {GRISU_UINT64_C(0x9b69dbe1, b548ce7d), -339, -83},
+  {GRISU_UINT64_C(0x97c560ba, 6b0919a6), -329, -80},
+  {GRISU_UINT64_C(0x9436c076, 0c86e30c), -319, -77},
+  {GRISU_UINT64_C(0x90bd77f3, 483bb9ba), -309, -74},
+  {GRISU_UINT64_C(0x8d590723, 948a535f), -299, -71},
+  {GRISU_UINT64_C(0x8a08f0f8, bf0f156b), -289, -68},
+  {GRISU_UINT64_C(0x86ccbb52, ea94baeb), -279, -65},
+  {GRISU_UINT64_C(0x83a3eeee, f9153e89), -269, -62},
+  {GRISU_UINT64_C(0x808e1755, 5f3ebf12), -259, -59},
+  {GRISU_UINT64_C(0xfb158592, be068d2f), -250, -56},
+  {GRISU_UINT64_C(0xf5330471, 4d9265e0), -240, -53},
+  {GRISU_UINT64_C(0xef73d256, a5c0f77d), -230, -50},
+  {GRISU_UINT64_C(0xe9d71b68, 9dde71b0), -220, -47},
+  {GRISU_UINT64_C(0xe45c10c4, 2a2b3b06), -210, -44},
+  {GRISU_UINT64_C(0xdf01e85f, 912e37a3), -200, -41},
+  {GRISU_UINT64_C(0xd9c7dced, 53c72256), -190, -38},
+  {GRISU_UINT64_C(0xd4ad2dbf, c3d07788), -180, -35},
+  {GRISU_UINT64_C(0xcfb11ead, 453994ba), -170, -32},
+  {GRISU_UINT64_C(0xcad2f7f5, 359a3b3e), -160, -29},
+  {GRISU_UINT64_C(0xc6120625, 76589ddb), -150, -26},
+  {GRISU_UINT64_C(0xc16d9a00, 95928a27), -140, -23},
+  {GRISU_UINT64_C(0xbce50864, 92111aeb), -130, -20},
+  {GRISU_UINT64_C(0xb877aa32, 36a4b449), -120, -17},
+  {GRISU_UINT64_C(0xb424dc35, 095cd80f), -110, -14},
+  {GRISU_UINT64_C(0xafebff0b, cb24aaff), -100, -11},
+  {GRISU_UINT64_C(0xabcc7711, 8461cefd), -90, -8},
+  {GRISU_UINT64_C(0xa7c5ac47, 1b478423), -80, -5},
+  {GRISU_UINT64_C(0xa3d70a3d, 70a3d70a), -70, -2},
+  {GRISU_UINT64_C(0xa0000000, 00000000), -60, 1},
+  {GRISU_UINT64_C(0x9c400000, 00000000), -50, 4},
+  {GRISU_UINT64_C(0x98968000, 00000000), -40, 7},
+  {GRISU_UINT64_C(0x9502f900, 00000000), -30, 10},
+  {GRISU_UINT64_C(0x9184e72a, 00000000), -20, 13},
+  {GRISU_UINT64_C(0x8e1bc9bf, 04000000), -10, 16},
+  {GRISU_UINT64_C(0x8ac72304, 89e80000), 0, 19},
+  {GRISU_UINT64_C(0x87867832, 6eac9000), 10, 22},
+  {GRISU_UINT64_C(0x84595161, 401484a0), 20, 25},
+  {GRISU_UINT64_C(0x813f3978, f8940984), 30, 28},
+  {GRISU_UINT64_C(0xfc6f7c40, 45812296), 39, 31},
+  {GRISU_UINT64_C(0xf684df56, c3e01bc7), 49, 34},
+  {GRISU_UINT64_C(0xf0bdc21a, bb48db20), 59, 37},
+  {GRISU_UINT64_C(0xeb194f8e, 1ae525fd), 69, 40},
+  {GRISU_UINT64_C(0xe596b7b0, c643c719), 79, 43},
+  {GRISU_UINT64_C(0xe0352f62, a19e306f), 89, 46},
+  {GRISU_UINT64_C(0xdaf3f046, 51d47b4c), 99, 49},
+  {GRISU_UINT64_C(0xd5d238a4, abe98068), 109, 52},
+  {GRISU_UINT64_C(0xd0cf4b50, cfe20766), 119, 55},
+  {GRISU_UINT64_C(0xcbea6f8c, eb02bb3a), 129, 58},
+  {GRISU_UINT64_C(0xc722f0ef, 9d80aad6), 139, 61},
+  {GRISU_UINT64_C(0xc2781f49, ffcfa6d5), 149, 64},
+  {GRISU_UINT64_C(0xbde94e8e, 43d0c8ec), 159, 67},
+  {GRISU_UINT64_C(0xb975d6b6, ee39e437), 169, 70},
+  {GRISU_UINT64_C(0xb51d13ae, a4a488dd), 179, 73},
+  {GRISU_UINT64_C(0xb0de6538, 8cc8ada8), 189, 76},
+  {GRISU_UINT64_C(0xacb92ed9, 397bf996), 199, 79},
+  {GRISU_UINT64_C(0xa8acd7c0, 222311bd), 209, 82},
+  {GRISU_UINT64_C(0xa4b8cab1, a1563f52), 219, 85},
+  {GRISU_UINT64_C(0xa0dc75f1, 778e39d6), 229, 88},
+  {GRISU_UINT64_C(0x9d174b2d, cec0e47b), 239, 91},
+  {GRISU_UINT64_C(0x9968bf6a, bbe85f20), 249, 94},
+  {GRISU_UINT64_C(0x95d04aee, 3b80ece6), 259, 97},
+  {GRISU_UINT64_C(0x924d692c, a61be758), 269, 100},
+  {GRISU_UINT64_C(0x8edf98b5, 9a373fec), 279, 103},
+  {GRISU_UINT64_C(0x8b865b21, 5899f46d), 289, 106},
+  {GRISU_UINT64_C(0x884134fe, 908658b2), 299, 109},
+  {GRISU_UINT64_C(0x850fadc0, 9923329e), 309, 112},
+  {GRISU_UINT64_C(0x81f14fae, 158c5f6e), 319, 115},
+  {GRISU_UINT64_C(0xfdcb4fa0, 02162a63), 328, 118},
+  {GRISU_UINT64_C(0xf7d88bc2, 4209a565), 338, 121},
+  {GRISU_UINT64_C(0xf209787b, b47d6b85), 348, 124},
+  {GRISU_UINT64_C(0xec5d3fa8, ce427b00), 358, 127},
+  {GRISU_UINT64_C(0xe6d3102a, d96cec1e), 368, 130},
+  {GRISU_UINT64_C(0xe16a1dc9, d8545e95), 378, 133},
+  {GRISU_UINT64_C(0xdc21a117, 1d42645d), 388, 136},
+  {GRISU_UINT64_C(0xd6f8d750, 9292d603), 398, 139},
+  {GRISU_UINT64_C(0xd1ef0244, af2364ff), 408, 142},
+  {GRISU_UINT64_C(0xcd036837, 130890a1), 418, 145},
+  {GRISU_UINT64_C(0xc83553c5, c8965d3d), 428, 148},
+  {GRISU_UINT64_C(0xc38413cf, 25e2d70e), 438, 151},
+  {GRISU_UINT64_C(0xbeeefb58, 4aff8604), 448, 154},
+  {GRISU_UINT64_C(0xba756174, 393d88e0), 458, 157},
+  {GRISU_UINT64_C(0xb616a12b, 7fe617aa), 468, 160},
+  {GRISU_UINT64_C(0xb1d21964, 7ae6b31c), 478, 163},
+  {GRISU_UINT64_C(0xada72ccc, 20054aea), 488, 166},
+  {GRISU_UINT64_C(0xa99541bf, 57452b28), 498, 169},
+  {GRISU_UINT64_C(0xa59bc234, db398c25), 508, 172},
+  {GRISU_UINT64_C(0xa1ba1ba7, 9e1632dc), 518, 175},
+  {GRISU_UINT64_C(0x9defbf01, b061adab), 528, 178},
+  {GRISU_UINT64_C(0x9a3c2087, a63f6399), 538, 181},
+  {GRISU_UINT64_C(0x969eb7c4, 7859e744), 548, 184},
+  {GRISU_UINT64_C(0x9316ff75, dd87cbd8), 558, 187},
+  {GRISU_UINT64_C(0x8fa47579, 1a569d11), 568, 190},
+  {GRISU_UINT64_C(0x8c469ab8, 43b89563), 578, 193},
+  {GRISU_UINT64_C(0x88fcf317, f22241e2), 588, 196},
+  {GRISU_UINT64_C(0x85c70565, 62757457), 598, 199},
+  {GRISU_UINT64_C(0x82a45b45, 0226b39d), 608, 202},
+  {GRISU_UINT64_C(0xff290242, c83396ce), 617, 205},
+  {GRISU_UINT64_C(0xf92e0c35, 37826146), 627, 208},
+  {GRISU_UINT64_C(0xf356f7eb, f83552fe), 637, 211},
+  {GRISU_UINT64_C(0xeda2ee1c, 7064130c), 647, 214},
+  {GRISU_UINT64_C(0xe8111c87, c5c1ba9a), 657, 217},
+  {GRISU_UINT64_C(0xe2a0b5dc, 971f303a), 667, 220},
+  {GRISU_UINT64_C(0xdd50f199, 6b947519), 677, 223},
+  {GRISU_UINT64_C(0xd8210bef, d30efa5a), 687, 226},
+  {GRISU_UINT64_C(0xd31045a8, 341ca07c), 697, 229},
+  {GRISU_UINT64_C(0xce1de406, 42e3f4b9), 707, 232},
+  {GRISU_UINT64_C(0xc94930ae, 1d529cfd), 717, 235},
+  {GRISU_UINT64_C(0xc491798a, 08a2ad4f), 727, 238},
+  {GRISU_UINT64_C(0xbff610b0, cc6edd3f), 737, 241},
+  {GRISU_UINT64_C(0xbb764c4c, a7a44410), 747, 244},
+  {GRISU_UINT64_C(0xb7118682, dbb66a77), 757, 247},
+  {GRISU_UINT64_C(0xb2c71d5b, ca9023f8), 767, 250},
+  {GRISU_UINT64_C(0xae9672ab, a3d0c321), 777, 253},
+  {GRISU_UINT64_C(0xaa7eebfb, 9df9de8e), 787, 256},
+  {GRISU_UINT64_C(0xa67ff273, b8460357), 797, 259},
+  {GRISU_UINT64_C(0xa298f2c5, 01f45f43), 807, 262},
+  {GRISU_UINT64_C(0x9ec95d14, 63e8a507), 817, 265},
+  {GRISU_UINT64_C(0x9b10a4e5, e9913129), 827, 268},
+  {GRISU_UINT64_C(0x976e4108, 8617ca02), 837, 271},
+  {GRISU_UINT64_C(0x93e1ab82, 52f33b46), 847, 274},
+  {GRISU_UINT64_C(0x906a617d, 450187e2), 857, 277},
+  {GRISU_UINT64_C(0x8d07e334, 55637eb3), 867, 280},
+  {GRISU_UINT64_C(0x89b9b3e1, 1b6329bb), 877, 283},
+  {GRISU_UINT64_C(0x867f59a9, d4bed6c0), 887, 286},
+  {GRISU_UINT64_C(0x83585d8f, d9c25db8), 897, 289},
+  {GRISU_UINT64_C(0x80444b5e, 7aa7cf85), 907, 292},
+  {GRISU_UINT64_C(0xfa856334, 878fc151), 916, 295},
+  {GRISU_UINT64_C(0xf4a642e1, 4c6262c9), 926, 298},
+  {GRISU_UINT64_C(0xeeea5d50, 04981478), 936, 301},
+  {GRISU_UINT64_C(0xe950df20, 247c83fd), 946, 304},
+  {GRISU_UINT64_C(0xe3d8f9e5, 63a198e5), 956, 307},
+  {GRISU_UINT64_C(0xde81e40a, 034bcf50), 966, 310},
+  {GRISU_UINT64_C(0xd94ad8b1, c7380874), 976, 313},
+  {GRISU_UINT64_C(0xd433179d, 9c8cb841), 986, 316},
+  {GRISU_UINT64_C(0xcf39e50f, eae16bf0), 996, 319},
+  {GRISU_UINT64_C(0xca5e89b1, 8b602368), 1006, 322},
+  {GRISU_UINT64_C(0xc5a05277, 621be294), 1016, 325},
+  {GRISU_UINT64_C(0xc0fe9088, 95cf3b44), 1026, 328},
+  {GRISU_UINT64_C(0xbc789925, 624c5fe1), 1036, 331},
+  {GRISU_UINT64_C(0xb80dc58e, 81fe95a1), 1046, 334},
+  {GRISU_UINT64_C(0xb3bd72ed, 2af29e20), 1056, 337},
+  {GRISU_UINT64_C(0xaf87023b, 9bf0ee6b), 1066, 340},
+  };
+static const int GRISU_CACHE_MAX_DISTANCE(3) = 10;
+// nb elements (3): 217
+static const GRISU_CACHE_STRUCT GRISU_CACHE_NAME(4)[] = {
+  {GRISU_UINT64_C(0xe61acf03, 3d1a45df), -1087, -308},
+  {GRISU_UINT64_C(0x8c71dcd9, ba0b4926), -1073, -304},
+  {GRISU_UINT64_C(0xab70fe17, c79ac6ca), -1060, -300},
+  {GRISU_UINT64_C(0xd1476e2c, 07286faa), -1047, -296},
+  {GRISU_UINT64_C(0xff77b1fc, bebcdc4f), -1034, -292},
+  {GRISU_UINT64_C(0x9becce62, 836ac577), -1020, -288},
+  {GRISU_UINT64_C(0xbe5691ef, 416bd60c), -1007, -284},
+  {GRISU_UINT64_C(0xe858ad24, 8f5c22ca), -994, -280},
+  {GRISU_UINT64_C(0x8dd01fad, 907ffc3c), -980, -276},
+  {GRISU_UINT64_C(0xad1c8eab, 5ee43b67), -967, -272},
+  {GRISU_UINT64_C(0xd3515c28, 31559a83), -954, -268},
+  {GRISU_UINT64_C(0x80fa687f, 881c7f8e), -940, -264},
+  {GRISU_UINT64_C(0x9d71ac8f, ada6c9b5), -927, -260},
+  {GRISU_UINT64_C(0xc0314325, 637a193a), -914, -256},
+  {GRISU_UINT64_C(0xea9c2277, 23ee8bcb), -901, -252},
+  {GRISU_UINT64_C(0x8f31cc09, 37ae58d3), -887, -248},
+  {GRISU_UINT64_C(0xaecc4991, 4078536d), -874, -244},
+  {GRISU_UINT64_C(0xd5605fcd, cf32e1d7), -861, -240},
+  {GRISU_UINT64_C(0x823c1279, 5db6ce57), -847, -236},
+  {GRISU_UINT64_C(0x9efa548d, 26e5a6e2), -834, -232},
+  {GRISU_UINT64_C(0xc2109436, 4dfb5637), -821, -228},
+  {GRISU_UINT64_C(0xece53cec, 4a314ebe), -808, -224},
+  {GRISU_UINT64_C(0x9096ea6f, 3848984f), -794, -220},
+  {GRISU_UINT64_C(0xb080392c, c4349ded), -781, -216},
+  {GRISU_UINT64_C(0xd77485cb, 25823ac7), -768, -212},
+  {GRISU_UINT64_C(0x8380dea9, 3da4bc60), -754, -208},
+  {GRISU_UINT64_C(0xa086cfcd, 97bf97f4), -741, -204},
+  {GRISU_UINT64_C(0xc3f490aa, 77bd60fd), -728, -200},
+  {GRISU_UINT64_C(0xef340a98, 172aace5), -715, -196},
+  {GRISU_UINT64_C(0x91ff8377, 5423cc06), -701, -192},
+  {GRISU_UINT64_C(0xb23867fb, 2a35b28e), -688, -188},
+  {GRISU_UINT64_C(0xd98ddaee, 19068c76), -675, -184},
+  {GRISU_UINT64_C(0x84c8d4df, d2c63f3b), -661, -180},
+  {GRISU_UINT64_C(0xa21727db, 38cb0030), -648, -176},
+  {GRISU_UINT64_C(0xc5dd4427, 1ad3cdba), -635, -172},
+  {GRISU_UINT64_C(0xf18899b1, bc3f8ca2), -622, -168},
+  {GRISU_UINT64_C(0x936b9fce, bb25c996), -608, -164},
+  {GRISU_UINT64_C(0xb3f4e093, db73a093), -595, -160},
+  {GRISU_UINT64_C(0xdbac6c24, 7d62a584), -582, -156},
+  {GRISU_UINT64_C(0x8613fd01, 45877586), -568, -152},
+  {GRISU_UINT64_C(0xa3ab6658, 0d5fdaf6), -555, -148},
+  {GRISU_UINT64_C(0xc7caba6e, 7c5382c9), -542, -144},
+  {GRISU_UINT64_C(0xf3e2f893, dec3f126), -529, -140},
+  {GRISU_UINT64_C(0x94db4838, 40b717f0), -515, -136},
+  {GRISU_UINT64_C(0xb5b5ada8, aaff80b8), -502, -132},
+  {GRISU_UINT64_C(0xddd0467c, 64bce4a1), -489, -128},
+  {GRISU_UINT64_C(0x87625f05, 6c7c4a8b), -475, -124},
+  {GRISU_UINT64_C(0xa54394fe, 1eedb8ff), -462, -120},
+  {GRISU_UINT64_C(0xc9bcff60, 34c13053), -449, -116},
+  {GRISU_UINT64_C(0xf64335bc, f065d37d), -436, -112},
+  {GRISU_UINT64_C(0x964e858c, 91ba2655), -422, -108},
+  {GRISU_UINT64_C(0xb77ada06, 17e3bbcb), -409, -104},
+  {GRISU_UINT64_C(0xdff97724, 70297ebd), -396, -100},
+  {GRISU_UINT64_C(0x88b402f7, fd75539b), -382, -96},
+  {GRISU_UINT64_C(0xa6dfbd9f, b8e5b88f), -369, -92},
+  {GRISU_UINT64_C(0xcbb41ef9, 79346bca), -356, -88},
+  {GRISU_UINT64_C(0xf8a95fcf, 88747d94), -343, -84},
+  {GRISU_UINT64_C(0x97c560ba, 6b0919a6), -329, -80},
+  {GRISU_UINT64_C(0xb9447093, 8fa89bcf), -316, -76},
+  {GRISU_UINT64_C(0xe2280b6c, 20dd5232), -303, -72},
+  {GRISU_UINT64_C(0x8a08f0f8, bf0f156b), -289, -68},
+  {GRISU_UINT64_C(0xa87fea27, a539e9a5), -276, -64},
+  {GRISU_UINT64_C(0xcdb02555, 653131b6), -263, -60},
+  {GRISU_UINT64_C(0xfb158592, be068d2f), -250, -56},
+  {GRISU_UINT64_C(0x993fe2c6, d07b7fac), -236, -52},
+  {GRISU_UINT64_C(0xbb127c53, b17ec159), -223, -48},
+  {GRISU_UINT64_C(0xe45c10c4, 2a2b3b06), -210, -44},
+  {GRISU_UINT64_C(0x8b61313b, babce2c6), -196, -40},
+  {GRISU_UINT64_C(0xaa242499, 697392d3), -183, -36},
+  {GRISU_UINT64_C(0xcfb11ead, 453994ba), -170, -32},
+  {GRISU_UINT64_C(0xfd87b5f2, 8300ca0e), -157, -28},
+  {GRISU_UINT64_C(0x9abe14cd, 44753b53), -143, -24},
+  {GRISU_UINT64_C(0xbce50864, 92111aeb), -130, -20},
+  {GRISU_UINT64_C(0xe69594be, c44de15b), -117, -16},
+  {GRISU_UINT64_C(0x8cbccc09, 6f5088cc), -103, -12},
+  {GRISU_UINT64_C(0xabcc7711, 8461cefd), -90, -8},
+  {GRISU_UINT64_C(0xd1b71758, e219652c), -77, -4},
+  {GRISU_UINT64_C(0x80000000, 00000000), -63, 0},
+  {GRISU_UINT64_C(0x9c400000, 00000000), -50, 4},
+  {GRISU_UINT64_C(0xbebc2000, 00000000), -37, 8},
+  {GRISU_UINT64_C(0xe8d4a510, 00000000), -24, 12},
+  {GRISU_UINT64_C(0x8e1bc9bf, 04000000), -10, 16},
+  {GRISU_UINT64_C(0xad78ebc5, ac620000), 3, 20},
+  {GRISU_UINT64_C(0xd3c21bce, cceda100), 16, 24},
+  {GRISU_UINT64_C(0x813f3978, f8940984), 30, 28},
+  {GRISU_UINT64_C(0x9dc5ada8, 2b70b59e), 43, 32},
+  {GRISU_UINT64_C(0xc097ce7b, c90715b3), 56, 36},
+  {GRISU_UINT64_C(0xeb194f8e, 1ae525fd), 69, 40},
+  {GRISU_UINT64_C(0x8f7e32ce, 7bea5c70), 83, 44},
+  {GRISU_UINT64_C(0xaf298d05, 0e4395d7), 96, 48},
+  {GRISU_UINT64_C(0xd5d238a4, abe98068), 109, 52},
+  {GRISU_UINT64_C(0x82818f12, 81ed44a0), 123, 56},
+  {GRISU_UINT64_C(0x9f4f2726, 179a2245), 136, 60},
+  {GRISU_UINT64_C(0xc2781f49, ffcfa6d5), 149, 64},
+  {GRISU_UINT64_C(0xed63a231, d4c4fb27), 162, 68},
+  {GRISU_UINT64_C(0x90e40fbe, ea1d3a4b), 176, 72},
+  {GRISU_UINT64_C(0xb0de6538, 8cc8ada8), 189, 76},
+  {GRISU_UINT64_C(0xd7e77a8f, 87daf7fc), 202, 80},
+  {GRISU_UINT64_C(0x83c7088e, 1aab65db), 216, 84},
+  {GRISU_UINT64_C(0xa0dc75f1, 778e39d6), 229, 88},
+  {GRISU_UINT64_C(0xc45d1df9, 42711d9a), 242, 92},
+  {GRISU_UINT64_C(0xefb3ab16, c59b14a3), 255, 96},
+  {GRISU_UINT64_C(0x924d692c, a61be758), 269, 100},
+  {GRISU_UINT64_C(0xb2977ee3, 00c50fe7), 282, 104},
+  {GRISU_UINT64_C(0xda01ee64, 1a708dea), 295, 108},
+  {GRISU_UINT64_C(0x850fadc0, 9923329e), 309, 112},
+  {GRISU_UINT64_C(0xa26da399, 9aef774a), 322, 116},
+  {GRISU_UINT64_C(0xc646d635, 01a1511e), 335, 120},
+  {GRISU_UINT64_C(0xf209787b, b47d6b85), 348, 124},
+  {GRISU_UINT64_C(0x93ba47c9, 80e98ce0), 362, 128},
+  {GRISU_UINT64_C(0xb454e4a1, 79dd1877), 375, 132},
+  {GRISU_UINT64_C(0xdc21a117, 1d42645d), 388, 136},
+  {GRISU_UINT64_C(0x865b8692, 5b9bc5c2), 402, 140},
+  {GRISU_UINT64_C(0xa402b9c5, a8d3a6e7), 415, 144},
+  {GRISU_UINT64_C(0xc83553c5, c8965d3d), 428, 148},
+  {GRISU_UINT64_C(0xf46518c2, ef5b8cd1), 441, 152},
+  {GRISU_UINT64_C(0x952ab45c, fa97a0b3), 455, 156},
+  {GRISU_UINT64_C(0xb616a12b, 7fe617aa), 468, 160},
+  {GRISU_UINT64_C(0xde469fbd, 99a05fe3), 481, 164},
+  {GRISU_UINT64_C(0x87aa9aff, 79042287), 495, 168},
+  {GRISU_UINT64_C(0xa59bc234, db398c25), 508, 172},
+  {GRISU_UINT64_C(0xca28a291, 859bbf93), 521, 176},
+  {GRISU_UINT64_C(0xf6c69a72, a3989f5c), 534, 180},
+  {GRISU_UINT64_C(0x969eb7c4, 7859e744), 548, 184},
+  {GRISU_UINT64_C(0xb7dcbf53, 54e9bece), 561, 188},
+  {GRISU_UINT64_C(0xe070f78d, 3927556b), 574, 192},
+  {GRISU_UINT64_C(0x88fcf317, f22241e2), 588, 196},
+  {GRISU_UINT64_C(0xa738c6be, bb12d16d), 601, 200},
+  {GRISU_UINT64_C(0xcc20ce9b, d35c78a5), 614, 204},
+  {GRISU_UINT64_C(0xf92e0c35, 37826146), 627, 208},
+  {GRISU_UINT64_C(0x98165af3, 7b2153df), 641, 212},
+  {GRISU_UINT64_C(0xb9a74a06, 37ce2ee1), 654, 216},
+  {GRISU_UINT64_C(0xe2a0b5dc, 971f303a), 667, 220},
+  {GRISU_UINT64_C(0x8a5296ff, e33cc930), 681, 224},
+  {GRISU_UINT64_C(0xa8d9d153, 5ce3b396), 694, 228},
+  {GRISU_UINT64_C(0xce1de406, 42e3f4b9), 707, 232},
+  {GRISU_UINT64_C(0xfb9b7cd9, a4a7443c), 720, 236},
+  {GRISU_UINT64_C(0x9991a6f3, d6bf1766), 734, 240},
+  {GRISU_UINT64_C(0xbb764c4c, a7a44410), 747, 244},
+  {GRISU_UINT64_C(0xe4d5e823, 92a40515), 760, 248},
+  {GRISU_UINT64_C(0x8bab8eef, b6409c1a), 774, 252},
+  {GRISU_UINT64_C(0xaa7eebfb, 9df9de8e), 787, 256},
+  {GRISU_UINT64_C(0xd01fef10, a657842c), 800, 260},
+  {GRISU_UINT64_C(0xfe0efb53, d30dd4d8), 813, 264},
+  {GRISU_UINT64_C(0x9b10a4e5, e9913129), 827, 268},
+  {GRISU_UINT64_C(0xbd49d14a, a79dbc82), 840, 272},
+  {GRISU_UINT64_C(0xe7109bfb, a19c0c9d), 853, 276},
+  {GRISU_UINT64_C(0x8d07e334, 55637eb3), 867, 280},
+  {GRISU_UINT64_C(0xac2820d9, 623bf429), 880, 284},
+  {GRISU_UINT64_C(0xd226fc19, 5c6a2f8c), 893, 288},
+  {GRISU_UINT64_C(0x80444b5e, 7aa7cf85), 907, 292},
+  {GRISU_UINT64_C(0x9c935e00, d4b9d8d2), 920, 296},
+  {GRISU_UINT64_C(0xbf21e440, 03acdd2d), 933, 300},
+  {GRISU_UINT64_C(0xe950df20, 247c83fd), 946, 304},
+  {GRISU_UINT64_C(0x8e679c2f, 5e44ff8f), 960, 308},
+  {GRISU_UINT64_C(0xadd57a27, d29339f6), 973, 312},
+  {GRISU_UINT64_C(0xd433179d, 9c8cb841), 986, 316},
+  {GRISU_UINT64_C(0x81842f29, f2cce376), 1000, 320},
+  {GRISU_UINT64_C(0x9e19db92, b4e31ba9), 1013, 324},
+  {GRISU_UINT64_C(0xc0fe9088, 95cf3b44), 1026, 328},
+  {GRISU_UINT64_C(0xeb96bf6e, badf77d9), 1039, 332},
+  {GRISU_UINT64_C(0x8fcac257, 558ee4e6), 1053, 336},
+  {GRISU_UINT64_C(0xaf87023b, 9bf0ee6b), 1066, 340},
+  };
+static const int GRISU_CACHE_MAX_DISTANCE(4) = 14;
+// nb elements (4): 163
+static const GRISU_CACHE_STRUCT GRISU_CACHE_NAME(5)[] = {
+  {GRISU_UINT64_C(0xe61acf03, 3d1a45df), -1087, -308},
+  {GRISU_UINT64_C(0xaf8e5410, 288e1b6f), -1070, -303},
+  {GRISU_UINT64_C(0x85f04682, 93f0eb4e), -1053, -298},
+  {GRISU_UINT64_C(0xcc5fc196, fefd7d0c), -1037, -293},
+  {GRISU_UINT64_C(0x9becce62, 836ac577), -1020, -288},
+  {GRISU_UINT64_C(0xedec366b, 11c6cb8f), -1004, -283},
+  {GRISU_UINT64_C(0xb5854744, 8ffffb2e), -987, -278},
+  {GRISU_UINT64_C(0x8a7d3eef, 7f1cfc52), -970, -273},
+  {GRISU_UINT64_C(0xd3515c28, 31559a83), -954, -268},
+  {GRISU_UINT64_C(0xa139029f, 6a239f72), -937, -263},
+  {GRISU_UINT64_C(0xf6019da0, 7f549b2b), -921, -258},
+  {GRISU_UINT64_C(0xbbb01b92, 83253ca3), -904, -253},
+  {GRISU_UINT64_C(0x8f31cc09, 37ae58d3), -887, -248},
+  {GRISU_UINT64_C(0xda7f5bf5, 90966849), -871, -243},
+  {GRISU_UINT64_C(0xa6b34ad8, c9dfc070), -854, -238},
+  {GRISU_UINT64_C(0xfe5d5415, 0b090b03), -838, -233},
+  {GRISU_UINT64_C(0xc2109436, 4dfb5637), -821, -228},
+  {GRISU_UINT64_C(0x940f4613, ae5ed137), -804, -223},
+  {GRISU_UINT64_C(0xe1ebce4d, c7f16dfc), -788, -218},
+  {GRISU_UINT64_C(0xac5d37d5, b79b6239), -771, -213},
+  {GRISU_UINT64_C(0x8380dea9, 3da4bc60), -754, -208},
+  {GRISU_UINT64_C(0xc8a883c0, fdaf7df0), -738, -203},
+  {GRISU_UINT64_C(0x99171105, 2d8bf3c5), -721, -198},
+  {GRISU_UINT64_C(0xe998d258, 869facd7), -705, -193},
+  {GRISU_UINT64_C(0xb23867fb, 2a35b28e), -688, -188},
+  {GRISU_UINT64_C(0x87f8a8d4, cfa417ca), -671, -183},
+  {GRISU_UINT64_C(0xcf79cc9d, b955c2cc), -655, -178},
+  {GRISU_UINT64_C(0x9e4a9cec, 15763e2f), -638, -173},
+  {GRISU_UINT64_C(0xf18899b1, bc3f8ca2), -622, -168},
+  {GRISU_UINT64_C(0xb84687c2, 69ef3bfb), -605, -163},
+  {GRISU_UINT64_C(0x8c974f73, 83725573), -588, -158},
+  {GRISU_UINT64_C(0xd686619b, a27255a3), -572, -153},
+  {GRISU_UINT64_C(0xa3ab6658, 0d5fdaf6), -555, -148},
+  {GRISU_UINT64_C(0xf9bd690a, 1b68637b), -539, -143},
+  {GRISU_UINT64_C(0xbe895233, 86091466), -522, -138},
+  {GRISU_UINT64_C(0x915e2486, ef32cd60), -505, -133},
+  {GRISU_UINT64_C(0xddd0467c, 64bce4a1), -489, -128},
+  {GRISU_UINT64_C(0xa93af6c6, c79b5d2e), -472, -123},
+  {GRISU_UINT64_C(0x811ccc66, 8829b887), -455, -118},
+  {GRISU_UINT64_C(0xc5029163, f384a931), -439, -113},
+  {GRISU_UINT64_C(0x964e858c, 91ba2655), -422, -108},
+  {GRISU_UINT64_C(0xe5599087, 9ddcaabe), -406, -103},
+  {GRISU_UINT64_C(0xaefae514, 77a06b04), -389, -98},
+  {GRISU_UINT64_C(0x857fcae6, 2d8493a5), -372, -93},
+  {GRISU_UINT64_C(0xcbb41ef9, 79346bca), -356, -88},
+  {GRISU_UINT64_C(0x9b69dbe1, b548ce7d), -339, -83},
+  {GRISU_UINT64_C(0xed246723, 473e3813), -323, -78},
+  {GRISU_UINT64_C(0xb4ecd5f0, 1a4aa828), -306, -73},
+  {GRISU_UINT64_C(0x8a08f0f8, bf0f156b), -289, -68},
+  {GRISU_UINT64_C(0xd29fe4b1, 8e88640f), -273, -63},
+  {GRISU_UINT64_C(0xa0b19d2a, b70e6ed6), -256, -58},
+  {GRISU_UINT64_C(0xf5330471, 4d9265e0), -240, -53},
+  {GRISU_UINT64_C(0xbb127c53, b17ec159), -223, -48},
+  {GRISU_UINT64_C(0x8eb98a7a, 9a5b04e3), -206, -43},
+  {GRISU_UINT64_C(0xd9c7dced, 53c72256), -190, -38},
+  {GRISU_UINT64_C(0xa6274bbd, d0fadd62), -173, -33},
+  {GRISU_UINT64_C(0xfd87b5f2, 8300ca0e), -157, -28},
+  {GRISU_UINT64_C(0xc16d9a00, 95928a27), -140, -23},
+  {GRISU_UINT64_C(0x9392ee8e, 921d5d07), -123, -18},
+  {GRISU_UINT64_C(0xe12e1342, 4bb40e13), -107, -13},
+  {GRISU_UINT64_C(0xabcc7711, 8461cefd), -90, -8},
+  {GRISU_UINT64_C(0x83126e97, 8d4fdf3b), -73, -3},
+  {GRISU_UINT64_C(0xc8000000, 00000000), -57, 2},
+  {GRISU_UINT64_C(0x98968000, 00000000), -40, 7},
+  {GRISU_UINT64_C(0xe8d4a510, 00000000), -24, 12},
+  {GRISU_UINT64_C(0xb1a2bc2e, c5000000), -7, 17},
+  {GRISU_UINT64_C(0x87867832, 6eac9000), 10, 22},
+  {GRISU_UINT64_C(0xcecb8f27, f4200f3a), 26, 27},
+  {GRISU_UINT64_C(0x9dc5ada8, 2b70b59e), 43, 32},
+  {GRISU_UINT64_C(0xf0bdc21a, bb48db20), 59, 37},
+  {GRISU_UINT64_C(0xb7abc627, 050305ae), 76, 42},
+  {GRISU_UINT64_C(0x8c213d9d, a502de45), 93, 47},
+  {GRISU_UINT64_C(0xd5d238a4, abe98068), 109, 52},
+  {GRISU_UINT64_C(0xa321f2d7, 226895c8), 126, 57},
+  {GRISU_UINT64_C(0xf8ebad2b, 84e0d58c), 142, 62},
+  {GRISU_UINT64_C(0xbde94e8e, 43d0c8ec), 159, 67},
+  {GRISU_UINT64_C(0x90e40fbe, ea1d3a4b), 176, 72},
+  {GRISU_UINT64_C(0xdd15fe86, affad912), 192, 77},
+  {GRISU_UINT64_C(0xa8acd7c0, 222311bd), 209, 82},
+  {GRISU_UINT64_C(0x80b05e5a, c60b6178), 226, 87},
+  {GRISU_UINT64_C(0xc45d1df9, 42711d9a), 242, 92},
+  {GRISU_UINT64_C(0x95d04aee, 3b80ece6), 259, 97},
+  {GRISU_UINT64_C(0xe498f455, c38b997a), 275, 102},
+  {GRISU_UINT64_C(0xae67f1e9, aec07188), 292, 107},
+  {GRISU_UINT64_C(0x850fadc0, 9923329e), 309, 112},
+  {GRISU_UINT64_C(0xcb090c80, 01ab551c), 325, 117},
+  {GRISU_UINT64_C(0x9ae75759, 6946075f), 342, 122},
+  {GRISU_UINT64_C(0xec5d3fa8, ce427b00), 358, 127},
+  {GRISU_UINT64_C(0xb454e4a1, 79dd1877), 375, 132},
+  {GRISU_UINT64_C(0x899504ae, 72497eba), 392, 137},
+  {GRISU_UINT64_C(0xd1ef0244, af2364ff), 408, 142},
+  {GRISU_UINT64_C(0xa02aa96b, 06deb0fe), 425, 147},
+  {GRISU_UINT64_C(0xf46518c2, ef5b8cd1), 441, 152},
+  {GRISU_UINT64_C(0xba756174, 393d88e0), 458, 157},
+  {GRISU_UINT64_C(0x8e41ade9, fbebc27d), 475, 162},
+  {GRISU_UINT64_C(0xd910f7ff, 28069da4), 491, 167},
+  {GRISU_UINT64_C(0xa59bc234, db398c25), 508, 172},
+  {GRISU_UINT64_C(0xfcb2cb35, e702af78), 524, 177},
+  {GRISU_UINT64_C(0xc0cb28a9, 8fcf3c80), 541, 182},
+  {GRISU_UINT64_C(0x9316ff75, dd87cbd8), 558, 187},
+  {GRISU_UINT64_C(0xe070f78d, 3927556b), 574, 192},
+  {GRISU_UINT64_C(0xab3c2fdd, eeaad25b), 591, 197},
+  {GRISU_UINT64_C(0x82a45b45, 0226b39d), 608, 202},
+  {GRISU_UINT64_C(0xc75809c4, 2c684dd1), 624, 207},
+  {GRISU_UINT64_C(0x98165af3, 7b2153df), 641, 212},
+  {GRISU_UINT64_C(0xe8111c87, c5c1ba9a), 657, 217},
+  {GRISU_UINT64_C(0xb10d8e14, 56105dad), 674, 222},
+  {GRISU_UINT64_C(0x8714a775, e3e95c78), 691, 227},
+  {GRISU_UINT64_C(0xce1de406, 42e3f4b9), 707, 232},
+  {GRISU_UINT64_C(0x9d412e08, 06e88aa6), 724, 237},
+  {GRISU_UINT64_C(0xeff394dc, ff8a948f), 740, 242},
+  {GRISU_UINT64_C(0xb7118682, dbb66a77), 757, 247},
+  {GRISU_UINT64_C(0x8bab8eef, b6409c1a), 774, 252},
+  {GRISU_UINT64_C(0xd51ea6fa, 85785631), 790, 257},
+  {GRISU_UINT64_C(0xa298f2c5, 01f45f43), 807, 262},
+  {GRISU_UINT64_C(0xf81aa16f, dc1b81db), 823, 267},
+  {GRISU_UINT64_C(0xbd49d14a, a79dbc82), 840, 272},
+  {GRISU_UINT64_C(0x906a617d, 450187e2), 857, 277},
+  {GRISU_UINT64_C(0xdc5c5301, c56b75f7), 873, 282},
+  {GRISU_UINT64_C(0xa81f3014, 49ee8c70), 890, 287},
+  {GRISU_UINT64_C(0x80444b5e, 7aa7cf85), 907, 292},
+  {GRISU_UINT64_C(0xc3b83581, 09e84f07), 923, 297},
+  {GRISU_UINT64_C(0x95527a52, 02df0ccb), 940, 302},
+  {GRISU_UINT64_C(0xe3d8f9e5, 63a198e5), 956, 307},
+  {GRISU_UINT64_C(0xadd57a27, d29339f6), 973, 312},
+  {GRISU_UINT64_C(0x849feec2, 81d7f329), 990, 317},
+  {GRISU_UINT64_C(0xca5e89b1, 8b602368), 1006, 322},
+  {GRISU_UINT64_C(0x9a65406d, 44a5c903), 1023, 327},
+  {GRISU_UINT64_C(0xeb96bf6e, badf77d9), 1039, 332},
+  {GRISU_UINT64_C(0xb3bd72ed, 2af29e20), 1056, 337},
+  {GRISU_UINT64_C(0x892179be, 91d43a44), 1073, 342},
+  };
+static const int GRISU_CACHE_MAX_DISTANCE(5) = 17;
+// nb elements (5): 131
+static const GRISU_CACHE_STRUCT GRISU_CACHE_NAME(6)[] = {
+  {GRISU_UINT64_C(0xe61acf03, 3d1a45df), -1087, -308},
+  {GRISU_UINT64_C(0xdb71e914, 32b1a24b), -1067, -302},
+  {GRISU_UINT64_C(0xd1476e2c, 07286faa), -1047, -296},
+  {GRISU_UINT64_C(0xc795830d, 75038c1e), -1027, -290},
+  {GRISU_UINT64_C(0xbe5691ef, 416bd60c), -1007, -284},
+  {GRISU_UINT64_C(0xb5854744, 8ffffb2e), -987, -278},
+  {GRISU_UINT64_C(0xad1c8eab, 5ee43b67), -967, -272},
+  {GRISU_UINT64_C(0xa5178fff, 668ae0b6), -947, -266},
+  {GRISU_UINT64_C(0x9d71ac8f, ada6c9b5), -927, -260},
+  {GRISU_UINT64_C(0x96267c75, 35b763b5), -907, -254},
+  {GRISU_UINT64_C(0x8f31cc09, 37ae58d3), -887, -248},
+  {GRISU_UINT64_C(0x888f9979, 7a5e012d), -867, -242},
+  {GRISU_UINT64_C(0x823c1279, 5db6ce57), -847, -236},
+  {GRISU_UINT64_C(0xf867241c, 8cc6d4c1), -828, -230},
+  {GRISU_UINT64_C(0xece53cec, 4a314ebe), -808, -224},
+  {GRISU_UINT64_C(0xe1ebce4d, c7f16dfc), -788, -218},
+  {GRISU_UINT64_C(0xd77485cb, 25823ac7), -768, -212},
+  {GRISU_UINT64_C(0xcd795be8, 70516656), -748, -206},
+  {GRISU_UINT64_C(0xc3f490aa, 77bd60fd), -728, -200},
+  {GRISU_UINT64_C(0xbae0a846, d2195713), -708, -194},
+  {GRISU_UINT64_C(0xb23867fb, 2a35b28e), -688, -188},
+  {GRISU_UINT64_C(0xa9f6d30a, 038d1dbc), -668, -182},
+  {GRISU_UINT64_C(0xa21727db, 38cb0030), -648, -176},
+  {GRISU_UINT64_C(0x9a94dd3e, 8cf578ba), -628, -170},
+  {GRISU_UINT64_C(0x936b9fce, bb25c996), -608, -164},
+  {GRISU_UINT64_C(0x8c974f73, 83725573), -588, -158},
+  {GRISU_UINT64_C(0x8613fd01, 45877586), -568, -152},
+  {GRISU_UINT64_C(0xffbbcfe9, 94e5c620), -549, -146},
+  {GRISU_UINT64_C(0xf3e2f893, dec3f126), -529, -140},
+  {GRISU_UINT64_C(0xe896a0d7, e51e1566), -509, -134},
+  {GRISU_UINT64_C(0xddd0467c, 64bce4a1), -489, -128},
+  {GRISU_UINT64_C(0xd389b478, 79823479), -469, -122},
+  {GRISU_UINT64_C(0xc9bcff60, 34c13053), -449, -116},
+  {GRISU_UINT64_C(0xc06481fb, 9bcf8d3a), -429, -110},
+  {GRISU_UINT64_C(0xb77ada06, 17e3bbcb), -409, -104},
+  {GRISU_UINT64_C(0xaefae514, 77a06b04), -389, -98},
+  {GRISU_UINT64_C(0xa6dfbd9f, b8e5b88f), -369, -92},
+  {GRISU_UINT64_C(0x9f24b832, e6b0f436), -349, -86},
+  {GRISU_UINT64_C(0x97c560ba, 6b0919a6), -329, -80},
+  {GRISU_UINT64_C(0x90bd77f3, 483bb9ba), -309, -74},
+  {GRISU_UINT64_C(0x8a08f0f8, bf0f156b), -289, -68},
+  {GRISU_UINT64_C(0x83a3eeee, f9153e89), -269, -62},
+  {GRISU_UINT64_C(0xfb158592, be068d2f), -250, -56},
+  {GRISU_UINT64_C(0xef73d256, a5c0f77d), -230, -50},
+  {GRISU_UINT64_C(0xe45c10c4, 2a2b3b06), -210, -44},
+  {GRISU_UINT64_C(0xd9c7dced, 53c72256), -190, -38},
+  {GRISU_UINT64_C(0xcfb11ead, 453994ba), -170, -32},
+  {GRISU_UINT64_C(0xc6120625, 76589ddb), -150, -26},
+  {GRISU_UINT64_C(0xbce50864, 92111aeb), -130, -20},
+  {GRISU_UINT64_C(0xb424dc35, 095cd80f), -110, -14},
+  {GRISU_UINT64_C(0xabcc7711, 8461cefd), -90, -8},
+  {GRISU_UINT64_C(0xa3d70a3d, 70a3d70a), -70, -2},
+  {GRISU_UINT64_C(0x9c400000, 00000000), -50, 4},
+  {GRISU_UINT64_C(0x9502f900, 00000000), -30, 10},
+  {GRISU_UINT64_C(0x8e1bc9bf, 04000000), -10, 16},
+  {GRISU_UINT64_C(0x87867832, 6eac9000), 10, 22},
+  {GRISU_UINT64_C(0x813f3978, f8940984), 30, 28},
+  {GRISU_UINT64_C(0xf684df56, c3e01bc7), 49, 34},
+  {GRISU_UINT64_C(0xeb194f8e, 1ae525fd), 69, 40},
+  {GRISU_UINT64_C(0xe0352f62, a19e306f), 89, 46},
+  {GRISU_UINT64_C(0xd5d238a4, abe98068), 109, 52},
+  {GRISU_UINT64_C(0xcbea6f8c, eb02bb3a), 129, 58},
+  {GRISU_UINT64_C(0xc2781f49, ffcfa6d5), 149, 64},
+  {GRISU_UINT64_C(0xb975d6b6, ee39e437), 169, 70},
+  {GRISU_UINT64_C(0xb0de6538, 8cc8ada8), 189, 76},
+  {GRISU_UINT64_C(0xa8acd7c0, 222311bd), 209, 82},
+  {GRISU_UINT64_C(0xa0dc75f1, 778e39d6), 229, 88},
+  {GRISU_UINT64_C(0x9968bf6a, bbe85f20), 249, 94},
+  {GRISU_UINT64_C(0x924d692c, a61be758), 269, 100},
+  {GRISU_UINT64_C(0x8b865b21, 5899f46d), 289, 106},
+  {GRISU_UINT64_C(0x850fadc0, 9923329e), 309, 112},
+  {GRISU_UINT64_C(0xfdcb4fa0, 02162a63), 328, 118},
+  {GRISU_UINT64_C(0xf209787b, b47d6b85), 348, 124},
+  {GRISU_UINT64_C(0xe6d3102a, d96cec1e), 368, 130},
+  {GRISU_UINT64_C(0xdc21a117, 1d42645d), 388, 136},
+  {GRISU_UINT64_C(0xd1ef0244, af2364ff), 408, 142},
+  {GRISU_UINT64_C(0xc83553c5, c8965d3d), 428, 148},
+  {GRISU_UINT64_C(0xbeeefb58, 4aff8604), 448, 154},
+  {GRISU_UINT64_C(0xb616a12b, 7fe617aa), 468, 160},
+  {GRISU_UINT64_C(0xada72ccc, 20054aea), 488, 166},
+  {GRISU_UINT64_C(0xa59bc234, db398c25), 508, 172},
+  {GRISU_UINT64_C(0x9defbf01, b061adab), 528, 178},
+  {GRISU_UINT64_C(0x969eb7c4, 7859e744), 548, 184},
+  {GRISU_UINT64_C(0x8fa47579, 1a569d11), 568, 190},
+  {GRISU_UINT64_C(0x88fcf317, f22241e2), 588, 196},
+  {GRISU_UINT64_C(0x82a45b45, 0226b39d), 608, 202},
+  {GRISU_UINT64_C(0xf92e0c35, 37826146), 627, 208},
+  {GRISU_UINT64_C(0xeda2ee1c, 7064130c), 647, 214},
+  {GRISU_UINT64_C(0xe2a0b5dc, 971f303a), 667, 220},
+  {GRISU_UINT64_C(0xd8210bef, d30efa5a), 687, 226},
+  {GRISU_UINT64_C(0xce1de406, 42e3f4b9), 707, 232},
+  {GRISU_UINT64_C(0xc491798a, 08a2ad4f), 727, 238},
+  {GRISU_UINT64_C(0xbb764c4c, a7a44410), 747, 244},
+  {GRISU_UINT64_C(0xb2c71d5b, ca9023f8), 767, 250},
+  {GRISU_UINT64_C(0xaa7eebfb, 9df9de8e), 787, 256},
+  {GRISU_UINT64_C(0xa298f2c5, 01f45f43), 807, 262},
+  {GRISU_UINT64_C(0x9b10a4e5, e9913129), 827, 268},
+  {GRISU_UINT64_C(0x93e1ab82, 52f33b46), 847, 274},
+  {GRISU_UINT64_C(0x8d07e334, 55637eb3), 867, 280},
+  {GRISU_UINT64_C(0x867f59a9, d4bed6c0), 887, 286},
+  {GRISU_UINT64_C(0x80444b5e, 7aa7cf85), 907, 292},
+  {GRISU_UINT64_C(0xf4a642e1, 4c6262c9), 926, 298},
+  {GRISU_UINT64_C(0xe950df20, 247c83fd), 946, 304},
+  {GRISU_UINT64_C(0xde81e40a, 034bcf50), 966, 310},
+  {GRISU_UINT64_C(0xd433179d, 9c8cb841), 986, 316},
+  {GRISU_UINT64_C(0xca5e89b1, 8b602368), 1006, 322},
+  {GRISU_UINT64_C(0xc0fe9088, 95cf3b44), 1026, 328},
+  {GRISU_UINT64_C(0xb80dc58e, 81fe95a1), 1046, 334},
+  {GRISU_UINT64_C(0xaf87023b, 9bf0ee6b), 1066, 340},
+  };
+static const int GRISU_CACHE_MAX_DISTANCE(6) = 20;
+// nb elements (6): 109
+static const GRISU_CACHE_STRUCT GRISU_CACHE_NAME(7)[] = {
+  {GRISU_UINT64_C(0xe61acf03, 3d1a45df), -1087, -308},
+  {GRISU_UINT64_C(0x892731ac, 9faf056f), -1063, -301},
+  {GRISU_UINT64_C(0xa37fce12, 6597973d), -1040, -294},
+  {GRISU_UINT64_C(0xc2e801fb, 244576d5), -1017, -287},
+  {GRISU_UINT64_C(0xe858ad24, 8f5c22ca), -994, -280},
+  {GRISU_UINT64_C(0x8a7d3eef, 7f1cfc52), -970, -273},
+  {GRISU_UINT64_C(0xa5178fff, 668ae0b6), -947, -266},
+  {GRISU_UINT64_C(0xc4ce17b3, 99107c23), -924, -259},
+  {GRISU_UINT64_C(0xea9c2277, 23ee8bcb), -901, -252},
+  {GRISU_UINT64_C(0x8bd6a141, 006042be), -877, -245},
+  {GRISU_UINT64_C(0xa6b34ad8, c9dfc070), -854, -238},
+  {GRISU_UINT64_C(0xc6b8e9b0, 709f109a), -831, -231},
+  {GRISU_UINT64_C(0xece53cec, 4a314ebe), -808, -224},
+  {GRISU_UINT64_C(0x8d3360f0, 9cf6e4bd), -784, -217},
+  {GRISU_UINT64_C(0xa8530886, b54dbdec), -761, -210},
+  {GRISU_UINT64_C(0xc8a883c0, fdaf7df0), -738, -203},
+  {GRISU_UINT64_C(0xef340a98, 172aace5), -715, -196},
+  {GRISU_UINT64_C(0x8e938662, 882af53e), -691, -189},
+  {GRISU_UINT64_C(0xa9f6d30a, 038d1dbc), -668, -182},
+  {GRISU_UINT64_C(0xca9cf1d2, 06fdc03c), -645, -175},
+  {GRISU_UINT64_C(0xf18899b1, bc3f8ca2), -622, -168},
+  {GRISU_UINT64_C(0x8ff71a0f, e2c2e6dc), -598, -161},
+  {GRISU_UINT64_C(0xab9eb47c, 81f5114f), -575, -154},
+  {GRISU_UINT64_C(0xcc963fee, 10b7d1b3), -552, -147},
+  {GRISU_UINT64_C(0xf3e2f893, dec3f126), -529, -140},
+  {GRISU_UINT64_C(0x915e2486, ef32cd60), -505, -133},
+  {GRISU_UINT64_C(0xad4ab711, 2eb3929e), -482, -126},
+  {GRISU_UINT64_C(0xce947a3d, a6a9273e), -459, -119},
+  {GRISU_UINT64_C(0xf64335bc, f065d37d), -436, -112},
+  {GRISU_UINT64_C(0x92c8ae6b, 464fc96f), -412, -105},
+  {GRISU_UINT64_C(0xaefae514, 77a06b04), -389, -98},
+  {GRISU_UINT64_C(0xd097ad07, a71f26b2), -366, -91},
+  {GRISU_UINT64_C(0xf8a95fcf, 88747d94), -343, -84},
+  {GRISU_UINT64_C(0x9436c076, 0c86e30c), -319, -77},
+  {GRISU_UINT64_C(0xb0af48ec, 79ace837), -296, -70},
+  {GRISU_UINT64_C(0xd29fe4b1, 8e88640f), -273, -63},
+  {GRISU_UINT64_C(0xfb158592, be068d2f), -250, -56},
+  {GRISU_UINT64_C(0x95a86376, 27989aae), -226, -49},
+  {GRISU_UINT64_C(0xb267ed19, 40f1c61c), -203, -42},
+  {GRISU_UINT64_C(0xd4ad2dbf, c3d07788), -180, -35},
+  {GRISU_UINT64_C(0xfd87b5f2, 8300ca0e), -157, -28},
+  {GRISU_UINT64_C(0x971da050, 74da7bef), -133, -21},
+  {GRISU_UINT64_C(0xb424dc35, 095cd80f), -110, -14},
+  {GRISU_UINT64_C(0xd6bf94d5, e57a42bc), -87, -7},
+  {GRISU_UINT64_C(0x80000000, 00000000), -63, 0},
+  {GRISU_UINT64_C(0x98968000, 00000000), -40, 7},
+  {GRISU_UINT64_C(0xb5e620f4, 80000000), -17, 14},
+  {GRISU_UINT64_C(0xd8d726b7, 177a8000), 6, 21},
+  {GRISU_UINT64_C(0x813f3978, f8940984), 30, 28},
+  {GRISU_UINT64_C(0x9a130b96, 3a6c115c), 53, 35},
+  {GRISU_UINT64_C(0xb7abc627, 050305ae), 76, 42},
+  {GRISU_UINT64_C(0xdaf3f046, 51d47b4c), 99, 49},
+  {GRISU_UINT64_C(0x82818f12, 81ed44a0), 123, 56},
+  {GRISU_UINT64_C(0x9b934c3b, 330c8577), 146, 63},
+  {GRISU_UINT64_C(0xb975d6b6, ee39e437), 169, 70},
+  {GRISU_UINT64_C(0xdd15fe86, affad912), 192, 77},
+  {GRISU_UINT64_C(0x83c7088e, 1aab65db), 216, 84},
+  {GRISU_UINT64_C(0x9d174b2d, cec0e47b), 239, 91},
+  {GRISU_UINT64_C(0xbb445da9, ca61281f), 262, 98},
+  {GRISU_UINT64_C(0xdf3d5e9b, c0f653e1), 285, 105},
+  {GRISU_UINT64_C(0x850fadc0, 9923329e), 309, 112},
+  {GRISU_UINT64_C(0x9e9f11c4, 014dda7e), 332, 119},
+  {GRISU_UINT64_C(0xbd176620, a501fc00), 355, 126},
+  {GRISU_UINT64_C(0xe16a1dc9, d8545e95), 378, 133},
+  {GRISU_UINT64_C(0x865b8692, 5b9bc5c2), 402, 140},
+  {GRISU_UINT64_C(0xa02aa96b, 06deb0fe), 425, 147},
+  {GRISU_UINT64_C(0xbeeefb58, 4aff8604), 448, 154},
+  {GRISU_UINT64_C(0xe39c4976, 5fdf9d95), 471, 161},
+  {GRISU_UINT64_C(0x87aa9aff, 79042287), 495, 168},
+  {GRISU_UINT64_C(0xa1ba1ba7, 9e1632dc), 518, 175},
+  {GRISU_UINT64_C(0xc0cb28a9, 8fcf3c80), 541, 182},
+  {GRISU_UINT64_C(0xe5d3ef28, 2a242e82), 564, 189},
+  {GRISU_UINT64_C(0x88fcf317, f22241e2), 588, 196},
+  {GRISU_UINT64_C(0xa34d7216, 42b06084), 611, 203},
+  {GRISU_UINT64_C(0xc2abf989, 935ddbfe), 634, 210},
+  {GRISU_UINT64_C(0xe8111c87, c5c1ba9a), 657, 217},
+  {GRISU_UINT64_C(0x8a5296ff, e33cc930), 681, 224},
+  {GRISU_UINT64_C(0xa4e4b66b, 68b65d61), 704, 231},
+  {GRISU_UINT64_C(0xc491798a, 08a2ad4f), 727, 238},
+  {GRISU_UINT64_C(0xea53df5f, d18d5514), 750, 245},
+  {GRISU_UINT64_C(0x8bab8eef, b6409c1a), 774, 252},
+  {GRISU_UINT64_C(0xa67ff273, b8460357), 797, 259},
+  {GRISU_UINT64_C(0xc67bb459, 7ce2ce49), 820, 266},
+  {GRISU_UINT64_C(0xec9c459d, 51852ba3), 843, 273},
+  {GRISU_UINT64_C(0x8d07e334, 55637eb3), 867, 280},
+  {GRISU_UINT64_C(0xa81f3014, 49ee8c70), 890, 287},
+  {GRISU_UINT64_C(0xc86ab5c3, 9fa63441), 913, 294},
+  {GRISU_UINT64_C(0xeeea5d50, 04981478), 936, 301},
+  {GRISU_UINT64_C(0x8e679c2f, 5e44ff8f), 960, 308},
+  {GRISU_UINT64_C(0xa9c2794a, e3a3c69b), 983, 315},
+  {GRISU_UINT64_C(0xca5e89b1, 8b602368), 1006, 322},
+  {GRISU_UINT64_C(0xf13e34aa, bb430a15), 1029, 329},
+  {GRISU_UINT64_C(0x8fcac257, 558ee4e6), 1053, 336},
+  };
+static const int GRISU_CACHE_MAX_DISTANCE(7) = 24;
+// nb elements (7): 93
+static const GRISU_CACHE_STRUCT GRISU_CACHE_NAME(8)[] = {
+  {GRISU_UINT64_C(0xe61acf03, 3d1a45df), -1087, -308},
+  {GRISU_UINT64_C(0xab70fe17, c79ac6ca), -1060, -300},
+  {GRISU_UINT64_C(0xff77b1fc, bebcdc4f), -1034, -292},
+  {GRISU_UINT64_C(0xbe5691ef, 416bd60c), -1007, -284},
+  {GRISU_UINT64_C(0x8dd01fad, 907ffc3c), -980, -276},
+  {GRISU_UINT64_C(0xd3515c28, 31559a83), -954, -268},
+  {GRISU_UINT64_C(0x9d71ac8f, ada6c9b5), -927, -260},
+  {GRISU_UINT64_C(0xea9c2277, 23ee8bcb), -901, -252},
+  {GRISU_UINT64_C(0xaecc4991, 4078536d), -874, -244},
+  {GRISU_UINT64_C(0x823c1279, 5db6ce57), -847, -236},
+  {GRISU_UINT64_C(0xc2109436, 4dfb5637), -821, -228},
+  {GRISU_UINT64_C(0x9096ea6f, 3848984f), -794, -220},
+  {GRISU_UINT64_C(0xd77485cb, 25823ac7), -768, -212},
+  {GRISU_UINT64_C(0xa086cfcd, 97bf97f4), -741, -204},
+  {GRISU_UINT64_C(0xef340a98, 172aace5), -715, -196},
+  {GRISU_UINT64_C(0xb23867fb, 2a35b28e), -688, -188},
+  {GRISU_UINT64_C(0x84c8d4df, d2c63f3b), -661, -180},
+  {GRISU_UINT64_C(0xc5dd4427, 1ad3cdba), -635, -172},
+  {GRISU_UINT64_C(0x936b9fce, bb25c996), -608, -164},
+  {GRISU_UINT64_C(0xdbac6c24, 7d62a584), -582, -156},
+  {GRISU_UINT64_C(0xa3ab6658, 0d5fdaf6), -555, -148},
+  {GRISU_UINT64_C(0xf3e2f893, dec3f126), -529, -140},
+  {GRISU_UINT64_C(0xb5b5ada8, aaff80b8), -502, -132},
+  {GRISU_UINT64_C(0x87625f05, 6c7c4a8b), -475, -124},
+  {GRISU_UINT64_C(0xc9bcff60, 34c13053), -449, -116},
+  {GRISU_UINT64_C(0x964e858c, 91ba2655), -422, -108},
+  {GRISU_UINT64_C(0xdff97724, 70297ebd), -396, -100},
+  {GRISU_UINT64_C(0xa6dfbd9f, b8e5b88f), -369, -92},
+  {GRISU_UINT64_C(0xf8a95fcf, 88747d94), -343, -84},
+  {GRISU_UINT64_C(0xb9447093, 8fa89bcf), -316, -76},
+  {GRISU_UINT64_C(0x8a08f0f8, bf0f156b), -289, -68},
+  {GRISU_UINT64_C(0xcdb02555, 653131b6), -263, -60},
+  {GRISU_UINT64_C(0x993fe2c6, d07b7fac), -236, -52},
+  {GRISU_UINT64_C(0xe45c10c4, 2a2b3b06), -210, -44},
+  {GRISU_UINT64_C(0xaa242499, 697392d3), -183, -36},
+  {GRISU_UINT64_C(0xfd87b5f2, 8300ca0e), -157, -28},
+  {GRISU_UINT64_C(0xbce50864, 92111aeb), -130, -20},
+  {GRISU_UINT64_C(0x8cbccc09, 6f5088cc), -103, -12},
+  {GRISU_UINT64_C(0xd1b71758, e219652c), -77, -4},
+  {GRISU_UINT64_C(0x9c400000, 00000000), -50, 4},
+  {GRISU_UINT64_C(0xe8d4a510, 00000000), -24, 12},
+  {GRISU_UINT64_C(0xad78ebc5, ac620000), 3, 20},
+  {GRISU_UINT64_C(0x813f3978, f8940984), 30, 28},
+  {GRISU_UINT64_C(0xc097ce7b, c90715b3), 56, 36},
+  {GRISU_UINT64_C(0x8f7e32ce, 7bea5c70), 83, 44},
+  {GRISU_UINT64_C(0xd5d238a4, abe98068), 109, 52},
+  {GRISU_UINT64_C(0x9f4f2726, 179a2245), 136, 60},
+  {GRISU_UINT64_C(0xed63a231, d4c4fb27), 162, 68},
+  {GRISU_UINT64_C(0xb0de6538, 8cc8ada8), 189, 76},
+  {GRISU_UINT64_C(0x83c7088e, 1aab65db), 216, 84},
+  {GRISU_UINT64_C(0xc45d1df9, 42711d9a), 242, 92},
+  {GRISU_UINT64_C(0x924d692c, a61be758), 269, 100},
+  {GRISU_UINT64_C(0xda01ee64, 1a708dea), 295, 108},
+  {GRISU_UINT64_C(0xa26da399, 9aef774a), 322, 116},
+  {GRISU_UINT64_C(0xf209787b, b47d6b85), 348, 124},
+  {GRISU_UINT64_C(0xb454e4a1, 79dd1877), 375, 132},
+  {GRISU_UINT64_C(0x865b8692, 5b9bc5c2), 402, 140},
+  {GRISU_UINT64_C(0xc83553c5, c8965d3d), 428, 148},
+  {GRISU_UINT64_C(0x952ab45c, fa97a0b3), 455, 156},
+  {GRISU_UINT64_C(0xde469fbd, 99a05fe3), 481, 164},
+  {GRISU_UINT64_C(0xa59bc234, db398c25), 508, 172},
+  {GRISU_UINT64_C(0xf6c69a72, a3989f5c), 534, 180},
+  {GRISU_UINT64_C(0xb7dcbf53, 54e9bece), 561, 188},
+  {GRISU_UINT64_C(0x88fcf317, f22241e2), 588, 196},
+  {GRISU_UINT64_C(0xcc20ce9b, d35c78a5), 614, 204},
+  {GRISU_UINT64_C(0x98165af3, 7b2153df), 641, 212},
+  {GRISU_UINT64_C(0xe2a0b5dc, 971f303a), 667, 220},
+  {GRISU_UINT64_C(0xa8d9d153, 5ce3b396), 694, 228},
+  {GRISU_UINT64_C(0xfb9b7cd9, a4a7443c), 720, 236},
+  {GRISU_UINT64_C(0xbb764c4c, a7a44410), 747, 244},
+  {GRISU_UINT64_C(0x8bab8eef, b6409c1a), 774, 252},
+  {GRISU_UINT64_C(0xd01fef10, a657842c), 800, 260},
+  {GRISU_UINT64_C(0x9b10a4e5, e9913129), 827, 268},
+  {GRISU_UINT64_C(0xe7109bfb, a19c0c9d), 853, 276},
+  {GRISU_UINT64_C(0xac2820d9, 623bf429), 880, 284},
+  {GRISU_UINT64_C(0x80444b5e, 7aa7cf85), 907, 292},
+  {GRISU_UINT64_C(0xbf21e440, 03acdd2d), 933, 300},
+  {GRISU_UINT64_C(0x8e679c2f, 5e44ff8f), 960, 308},
+  {GRISU_UINT64_C(0xd433179d, 9c8cb841), 986, 316},
+  {GRISU_UINT64_C(0x9e19db92, b4e31ba9), 1013, 324},
+  {GRISU_UINT64_C(0xeb96bf6e, badf77d9), 1039, 332},
+  {GRISU_UINT64_C(0xaf87023b, 9bf0ee6b), 1066, 340},
+  };
+static const int GRISU_CACHE_MAX_DISTANCE(8) = 27;
+// nb elements (8): 82
+static const GRISU_CACHE_STRUCT GRISU_CACHE_NAME(9)[] = {
+  {GRISU_UINT64_C(0xe61acf03, 3d1a45df), -1087, -308},
+  {GRISU_UINT64_C(0xd64d3d9d, b981787d), -1057, -299},
+  {GRISU_UINT64_C(0xc795830d, 75038c1e), -1027, -290},
+  {GRISU_UINT64_C(0xb9e08a83, a5e34f08), -997, -281},
+  {GRISU_UINT64_C(0xad1c8eab, 5ee43b67), -967, -272},
+  {GRISU_UINT64_C(0xa139029f, 6a239f72), -937, -263},
+  {GRISU_UINT64_C(0x96267c75, 35b763b5), -907, -254},
+  {GRISU_UINT64_C(0x8bd6a141, 006042be), -877, -245},
+  {GRISU_UINT64_C(0x823c1279, 5db6ce57), -847, -236},
+  {GRISU_UINT64_C(0xf294b943, e17a2bc4), -818, -227},
+  {GRISU_UINT64_C(0xe1ebce4d, c7f16dfc), -788, -218},
+  {GRISU_UINT64_C(0xd267caa8, 62a12d67), -758, -209},
+  {GRISU_UINT64_C(0xc3f490aa, 77bd60fd), -728, -200},
+  {GRISU_UINT64_C(0xb67f6455, 292cbf08), -698, -191},
+  {GRISU_UINT64_C(0xa9f6d30a, 038d1dbc), -668, -182},
+  {GRISU_UINT64_C(0x9e4a9cec, 15763e2f), -638, -173},
+  {GRISU_UINT64_C(0x936b9fce, bb25c996), -608, -164},
+  {GRISU_UINT64_C(0x894bc396, ce5da772), -578, -155},
+  {GRISU_UINT64_C(0xffbbcfe9, 94e5c620), -549, -146},
+  {GRISU_UINT64_C(0xee2ba6c0, 678b597f), -519, -137},
+  {GRISU_UINT64_C(0xddd0467c, 64bce4a1), -489, -128},
+  {GRISU_UINT64_C(0xce947a3d, a6a9273e), -459, -119},
+  {GRISU_UINT64_C(0xc06481fb, 9bcf8d3a), -429, -110},
+  {GRISU_UINT64_C(0xb32df8e9, f3546564), -399, -101},
+  {GRISU_UINT64_C(0xa6dfbd9f, b8e5b88f), -369, -92},
+  {GRISU_UINT64_C(0x9b69dbe1, b548ce7d), -339, -83},
+  {GRISU_UINT64_C(0x90bd77f3, 483bb9ba), -309, -74},
+  {GRISU_UINT64_C(0x86ccbb52, ea94baeb), -279, -65},
+  {GRISU_UINT64_C(0xfb158592, be068d2f), -250, -56},
+  {GRISU_UINT64_C(0xe9d71b68, 9dde71b0), -220, -47},
+  {GRISU_UINT64_C(0xd9c7dced, 53c72256), -190, -38},
+  {GRISU_UINT64_C(0xcad2f7f5, 359a3b3e), -160, -29},
+  {GRISU_UINT64_C(0xbce50864, 92111aeb), -130, -20},
+  {GRISU_UINT64_C(0xafebff0b, cb24aaff), -100, -11},
+  {GRISU_UINT64_C(0xa3d70a3d, 70a3d70a), -70, -2},
+  {GRISU_UINT64_C(0x98968000, 00000000), -40, 7},
+  {GRISU_UINT64_C(0x8e1bc9bf, 04000000), -10, 16},
+  {GRISU_UINT64_C(0x84595161, 401484a0), 20, 25},
+  {GRISU_UINT64_C(0xf684df56, c3e01bc7), 49, 34},
+  {GRISU_UINT64_C(0xe596b7b0, c643c719), 79, 43},
+  {GRISU_UINT64_C(0xd5d238a4, abe98068), 109, 52},
+  {GRISU_UINT64_C(0xc722f0ef, 9d80aad6), 139, 61},
+  {GRISU_UINT64_C(0xb975d6b6, ee39e437), 169, 70},
+  {GRISU_UINT64_C(0xacb92ed9, 397bf996), 199, 79},
+  {GRISU_UINT64_C(0xa0dc75f1, 778e39d6), 229, 88},
+  {GRISU_UINT64_C(0x95d04aee, 3b80ece6), 259, 97},
+  {GRISU_UINT64_C(0x8b865b21, 5899f46d), 289, 106},
+  {GRISU_UINT64_C(0x81f14fae, 158c5f6e), 319, 115},
+  {GRISU_UINT64_C(0xf209787b, b47d6b85), 348, 124},
+  {GRISU_UINT64_C(0xe16a1dc9, d8545e95), 378, 133},
+  {GRISU_UINT64_C(0xd1ef0244, af2364ff), 408, 142},
+  {GRISU_UINT64_C(0xc38413cf, 25e2d70e), 438, 151},
+  {GRISU_UINT64_C(0xb616a12b, 7fe617aa), 468, 160},
+  {GRISU_UINT64_C(0xa99541bf, 57452b28), 498, 169},
+  {GRISU_UINT64_C(0x9defbf01, b061adab), 528, 178},
+  {GRISU_UINT64_C(0x9316ff75, dd87cbd8), 558, 187},
+  {GRISU_UINT64_C(0x88fcf317, f22241e2), 588, 196},
+  {GRISU_UINT64_C(0xff290242, c83396ce), 617, 205},
+  {GRISU_UINT64_C(0xeda2ee1c, 7064130c), 647, 214},
+  {GRISU_UINT64_C(0xdd50f199, 6b947519), 677, 223},
+  {GRISU_UINT64_C(0xce1de406, 42e3f4b9), 707, 232},
+  {GRISU_UINT64_C(0xbff610b0, cc6edd3f), 737, 241},
+  {GRISU_UINT64_C(0xb2c71d5b, ca9023f8), 767, 250},
+  {GRISU_UINT64_C(0xa67ff273, b8460357), 797, 259},
+  {GRISU_UINT64_C(0x9b10a4e5, e9913129), 827, 268},
+  {GRISU_UINT64_C(0x906a617d, 450187e2), 857, 277},
+  {GRISU_UINT64_C(0x867f59a9, d4bed6c0), 887, 286},
+  {GRISU_UINT64_C(0xfa856334, 878fc151), 916, 295},
+  {GRISU_UINT64_C(0xe950df20, 247c83fd), 946, 304},
+  {GRISU_UINT64_C(0xd94ad8b1, c7380874), 976, 313},
+  {GRISU_UINT64_C(0xca5e89b1, 8b602368), 1006, 322},
+  {GRISU_UINT64_C(0xbc789925, 624c5fe1), 1036, 331},
+  {GRISU_UINT64_C(0xaf87023b, 9bf0ee6b), 1066, 340},
+  };
+static const int GRISU_CACHE_MAX_DISTANCE(9) = 30;
+// nb elements (9): 73
+static const GRISU_CACHE_STRUCT GRISU_CACHE_NAME(10)[] = {
+  {GRISU_UINT64_C(0xe61acf03, 3d1a45df), -1087, -308},
+  {GRISU_UINT64_C(0x85f04682, 93f0eb4e), -1053, -298},
+  {GRISU_UINT64_C(0x9becce62, 836ac577), -1020, -288},
+  {GRISU_UINT64_C(0xb5854744, 8ffffb2e), -987, -278},
+  {GRISU_UINT64_C(0xd3515c28, 31559a83), -954, -268},
+  {GRISU_UINT64_C(0xf6019da0, 7f549b2b), -921, -258},
+  {GRISU_UINT64_C(0x8f31cc09, 37ae58d3), -887, -248},
+  {GRISU_UINT64_C(0xa6b34ad8, c9dfc070), -854, -238},
+  {GRISU_UINT64_C(0xc2109436, 4dfb5637), -821, -228},
+  {GRISU_UINT64_C(0xe1ebce4d, c7f16dfc), -788, -218},
+  {GRISU_UINT64_C(0x8380dea9, 3da4bc60), -754, -208},
+  {GRISU_UINT64_C(0x99171105, 2d8bf3c5), -721, -198},
+  {GRISU_UINT64_C(0xb23867fb, 2a35b28e), -688, -188},
+  {GRISU_UINT64_C(0xcf79cc9d, b955c2cc), -655, -178},
+  {GRISU_UINT64_C(0xf18899b1, bc3f8ca2), -622, -168},
+  {GRISU_UINT64_C(0x8c974f73, 83725573), -588, -158},
+  {GRISU_UINT64_C(0xa3ab6658, 0d5fdaf6), -555, -148},
+  {GRISU_UINT64_C(0xbe895233, 86091466), -522, -138},
+  {GRISU_UINT64_C(0xddd0467c, 64bce4a1), -489, -128},
+  {GRISU_UINT64_C(0x811ccc66, 8829b887), -455, -118},
+  {GRISU_UINT64_C(0x964e858c, 91ba2655), -422, -108},
+  {GRISU_UINT64_C(0xaefae514, 77a06b04), -389, -98},
+  {GRISU_UINT64_C(0xcbb41ef9, 79346bca), -356, -88},
+  {GRISU_UINT64_C(0xed246723, 473e3813), -323, -78},
+  {GRISU_UINT64_C(0x8a08f0f8, bf0f156b), -289, -68},
+  {GRISU_UINT64_C(0xa0b19d2a, b70e6ed6), -256, -58},
+  {GRISU_UINT64_C(0xbb127c53, b17ec159), -223, -48},
+  {GRISU_UINT64_C(0xd9c7dced, 53c72256), -190, -38},
+  {GRISU_UINT64_C(0xfd87b5f2, 8300ca0e), -157, -28},
+  {GRISU_UINT64_C(0x9392ee8e, 921d5d07), -123, -18},
+  {GRISU_UINT64_C(0xabcc7711, 8461cefd), -90, -8},
+  {GRISU_UINT64_C(0xc8000000, 00000000), -57, 2},
+  {GRISU_UINT64_C(0xe8d4a510, 00000000), -24, 12},
+  {GRISU_UINT64_C(0x87867832, 6eac9000), 10, 22},
+  {GRISU_UINT64_C(0x9dc5ada8, 2b70b59e), 43, 32},
+  {GRISU_UINT64_C(0xb7abc627, 050305ae), 76, 42},
+  {GRISU_UINT64_C(0xd5d238a4, abe98068), 109, 52},
+  {GRISU_UINT64_C(0xf8ebad2b, 84e0d58c), 142, 62},
+  {GRISU_UINT64_C(0x90e40fbe, ea1d3a4b), 176, 72},
+  {GRISU_UINT64_C(0xa8acd7c0, 222311bd), 209, 82},
+  {GRISU_UINT64_C(0xc45d1df9, 42711d9a), 242, 92},
+  {GRISU_UINT64_C(0xe498f455, c38b997a), 275, 102},
+  {GRISU_UINT64_C(0x850fadc0, 9923329e), 309, 112},
+  {GRISU_UINT64_C(0x9ae75759, 6946075f), 342, 122},
+  {GRISU_UINT64_C(0xb454e4a1, 79dd1877), 375, 132},
+  {GRISU_UINT64_C(0xd1ef0244, af2364ff), 408, 142},
+  {GRISU_UINT64_C(0xf46518c2, ef5b8cd1), 441, 152},
+  {GRISU_UINT64_C(0x8e41ade9, fbebc27d), 475, 162},
+  {GRISU_UINT64_C(0xa59bc234, db398c25), 508, 172},
+  {GRISU_UINT64_C(0xc0cb28a9, 8fcf3c80), 541, 182},
+  {GRISU_UINT64_C(0xe070f78d, 3927556b), 574, 192},
+  {GRISU_UINT64_C(0x82a45b45, 0226b39d), 608, 202},
+  {GRISU_UINT64_C(0x98165af3, 7b2153df), 641, 212},
+  {GRISU_UINT64_C(0xb10d8e14, 56105dad), 674, 222},
+  {GRISU_UINT64_C(0xce1de406, 42e3f4b9), 707, 232},
+  {GRISU_UINT64_C(0xeff394dc, ff8a948f), 740, 242},
+  {GRISU_UINT64_C(0x8bab8eef, b6409c1a), 774, 252},
+  {GRISU_UINT64_C(0xa298f2c5, 01f45f43), 807, 262},
+  {GRISU_UINT64_C(0xbd49d14a, a79dbc82), 840, 272},
+  {GRISU_UINT64_C(0xdc5c5301, c56b75f7), 873, 282},
+  {GRISU_UINT64_C(0x80444b5e, 7aa7cf85), 907, 292},
+  {GRISU_UINT64_C(0x95527a52, 02df0ccb), 940, 302},
+  {GRISU_UINT64_C(0xadd57a27, d29339f6), 973, 312},
+  {GRISU_UINT64_C(0xca5e89b1, 8b602368), 1006, 322},
+  {GRISU_UINT64_C(0xeb96bf6e, badf77d9), 1039, 332},
+  {GRISU_UINT64_C(0x892179be, 91d43a44), 1073, 342},
+  };
+static const int GRISU_CACHE_MAX_DISTANCE(10) = 34;
+// nb elements (10): 66
+static const GRISU_CACHE_STRUCT GRISU_CACHE_NAME(11)[] = {
+  {GRISU_UINT64_C(0xe61acf03, 3d1a45df), -1087, -308},
+  {GRISU_UINT64_C(0xa76c5823, 38ed2622), -1050, -297},
+  {GRISU_UINT64_C(0xf3a20279, ed56d48a), -1014, -286},
+  {GRISU_UINT64_C(0xb1442798, f49ffb4b), -977, -275},
+  {GRISU_UINT64_C(0x80fa687f, 881c7f8e), -940, -264},
+  {GRISU_UINT64_C(0xbbb01b92, 83253ca3), -904, -253},
+  {GRISU_UINT64_C(0x888f9979, 7a5e012d), -867, -242},
+  {GRISU_UINT64_C(0xc6b8e9b0, 709f109a), -831, -231},
+  {GRISU_UINT64_C(0x9096ea6f, 3848984f), -794, -220},
+  {GRISU_UINT64_C(0xd267caa8, 62a12d67), -758, -209},
+  {GRISU_UINT64_C(0x99171105, 2d8bf3c5), -721, -198},
+  {GRISU_UINT64_C(0xdec681f9, f4c31f31), -685, -187},
+  {GRISU_UINT64_C(0xa21727db, 38cb0030), -648, -176},
+  {GRISU_UINT64_C(0xebdf6617, 91d60f56), -612, -165},
+  {GRISU_UINT64_C(0xab9eb47c, 81f5114f), -575, -154},
+  {GRISU_UINT64_C(0xf9bd690a, 1b68637b), -539, -143},
+  {GRISU_UINT64_C(0xb5b5ada8, aaff80b8), -502, -132},
+  {GRISU_UINT64_C(0x843610cb, 4bf160cc), -465, -121},
+  {GRISU_UINT64_C(0xc06481fb, 9bcf8d3a), -429, -110},
+  {GRISU_UINT64_C(0x8bfbea76, c619ef36), -392, -99},
+  {GRISU_UINT64_C(0xcbb41ef9, 79346bca), -356, -88},
+  {GRISU_UINT64_C(0x9436c076, 0c86e30c), -319, -77},
+  {GRISU_UINT64_C(0xd7adf884, aa879177), -283, -66},
+  {GRISU_UINT64_C(0x9ced737b, b6c4183d), -246, -55},
+  {GRISU_UINT64_C(0xe45c10c4, 2a2b3b06), -210, -44},
+  {GRISU_UINT64_C(0xa6274bbd, d0fadd62), -173, -33},
+  {GRISU_UINT64_C(0xf1c90080, baf72cb1), -137, -22},
+  {GRISU_UINT64_C(0xafebff0b, cb24aaff), -100, -11},
+  {GRISU_UINT64_C(0x80000000, 00000000), -63, 0},
+  {GRISU_UINT64_C(0xba43b740, 00000000), -27, 11},
+  {GRISU_UINT64_C(0x87867832, 6eac9000), 10, 22},
+  {GRISU_UINT64_C(0xc5371912, 364ce305), 46, 33},
+  {GRISU_UINT64_C(0x8f7e32ce, 7bea5c70), 83, 44},
+  {GRISU_UINT64_C(0xd0cf4b50, cfe20766), 119, 55},
+  {GRISU_UINT64_C(0x97edd871, cfda3a57), 156, 66},
+  {GRISU_UINT64_C(0xdd15fe86, affad912), 192, 77},
+  {GRISU_UINT64_C(0xa0dc75f1, 778e39d6), 229, 88},
+  {GRISU_UINT64_C(0xea157514, 3cf97227), 265, 99},
+  {GRISU_UINT64_C(0xaa51823e, 34a7eedf), 302, 110},
+  {GRISU_UINT64_C(0xf7d88bc2, 4209a565), 338, 121},
+  {GRISU_UINT64_C(0xb454e4a1, 79dd1877), 375, 132},
+  {GRISU_UINT64_C(0x8335616a, ed761f1f), 412, 143},
+  {GRISU_UINT64_C(0xbeeefb58, 4aff8604), 448, 154},
+  {GRISU_UINT64_C(0x8aec23d6, 80043bee), 485, 165},
+  {GRISU_UINT64_C(0xca28a291, 859bbf93), 521, 176},
+  {GRISU_UINT64_C(0x9316ff75, dd87cbd8), 558, 187},
+  {GRISU_UINT64_C(0xd60b3bd5, 6a5586f2), 594, 198},
+  {GRISU_UINT64_C(0x9bbcc7a1, 42b17ccc), 631, 209},
+  {GRISU_UINT64_C(0xe2a0b5dc, 971f303a), 667, 220},
+  {GRISU_UINT64_C(0xa4e4b66b, 68b65d61), 704, 231},
+  {GRISU_UINT64_C(0xeff394dc, ff8a948f), 740, 242},
+  {GRISU_UINT64_C(0xae9672ab, a3d0c321), 777, 253},
+  {GRISU_UINT64_C(0xfe0efb53, d30dd4d8), 813, 264},
+  {GRISU_UINT64_C(0xb8da1662, e7b00a17), 850, 275},
+  {GRISU_UINT64_C(0x867f59a9, d4bed6c0), 887, 286},
+  {GRISU_UINT64_C(0xc3b83581, 09e84f07), 923, 297},
+  {GRISU_UINT64_C(0x8e679c2f, 5e44ff8f), 960, 308},
+  {GRISU_UINT64_C(0xcf39e50f, eae16bf0), 996, 319},
+  {GRISU_UINT64_C(0x96c6e0ea, b509e64d), 1033, 330},
+  {GRISU_UINT64_C(0xdb68c2ca, 82ed2a06), 1069, 341},
+  };
+static const int GRISU_CACHE_MAX_DISTANCE(11) = 37;
+// nb elements (11): 60
+static const GRISU_CACHE_STRUCT GRISU_CACHE_NAME(12)[] = {
+  {GRISU_UINT64_C(0xe61acf03, 3d1a45df), -1087, -308},
+  {GRISU_UINT64_C(0xd1476e2c, 07286faa), -1047, -296},
+  {GRISU_UINT64_C(0xbe5691ef, 416bd60c), -1007, -284},
+  {GRISU_UINT64_C(0xad1c8eab, 5ee43b67), -967, -272},
+  {GRISU_UINT64_C(0x9d71ac8f, ada6c9b5), -927, -260},
+  {GRISU_UINT64_C(0x8f31cc09, 37ae58d3), -887, -248},
+  {GRISU_UINT64_C(0x823c1279, 5db6ce57), -847, -236},
+  {GRISU_UINT64_C(0xece53cec, 4a314ebe), -808, -224},
+  {GRISU_UINT64_C(0xd77485cb, 25823ac7), -768, -212},
+  {GRISU_UINT64_C(0xc3f490aa, 77bd60fd), -728, -200},
+  {GRISU_UINT64_C(0xb23867fb, 2a35b28e), -688, -188},
+  {GRISU_UINT64_C(0xa21727db, 38cb0030), -648, -176},
+  {GRISU_UINT64_C(0x936b9fce, bb25c996), -608, -164},
+  {GRISU_UINT64_C(0x8613fd01, 45877586), -568, -152},
+  {GRISU_UINT64_C(0xf3e2f893, dec3f126), -529, -140},
+  {GRISU_UINT64_C(0xddd0467c, 64bce4a1), -489, -128},
+  {GRISU_UINT64_C(0xc9bcff60, 34c13053), -449, -116},
+  {GRISU_UINT64_C(0xb77ada06, 17e3bbcb), -409, -104},
+  {GRISU_UINT64_C(0xa6dfbd9f, b8e5b88f), -369, -92},
+  {GRISU_UINT64_C(0x97c560ba, 6b0919a6), -329, -80},
+  {GRISU_UINT64_C(0x8a08f0f8, bf0f156b), -289, -68},
+  {GRISU_UINT64_C(0xfb158592, be068d2f), -250, -56},
+  {GRISU_UINT64_C(0xe45c10c4, 2a2b3b06), -210, -44},
+  {GRISU_UINT64_C(0xcfb11ead, 453994ba), -170, -32},
+  {GRISU_UINT64_C(0xbce50864, 92111aeb), -130, -20},
+  {GRISU_UINT64_C(0xabcc7711, 8461cefd), -90, -8},
+  {GRISU_UINT64_C(0x9c400000, 00000000), -50, 4},
+  {GRISU_UINT64_C(0x8e1bc9bf, 04000000), -10, 16},
+  {GRISU_UINT64_C(0x813f3978, f8940984), 30, 28},
+  {GRISU_UINT64_C(0xeb194f8e, 1ae525fd), 69, 40},
+  {GRISU_UINT64_C(0xd5d238a4, abe98068), 109, 52},
+  {GRISU_UINT64_C(0xc2781f49, ffcfa6d5), 149, 64},
+  {GRISU_UINT64_C(0xb0de6538, 8cc8ada8), 189, 76},
+  {GRISU_UINT64_C(0xa0dc75f1, 778e39d6), 229, 88},
+  {GRISU_UINT64_C(0x924d692c, a61be758), 269, 100},
+  {GRISU_UINT64_C(0x850fadc0, 9923329e), 309, 112},
+  {GRISU_UINT64_C(0xf209787b, b47d6b85), 348, 124},
+  {GRISU_UINT64_C(0xdc21a117, 1d42645d), 388, 136},
+  {GRISU_UINT64_C(0xc83553c5, c8965d3d), 428, 148},
+  {GRISU_UINT64_C(0xb616a12b, 7fe617aa), 468, 160},
+  {GRISU_UINT64_C(0xa59bc234, db398c25), 508, 172},
+  {GRISU_UINT64_C(0x969eb7c4, 7859e744), 548, 184},
+  {GRISU_UINT64_C(0x88fcf317, f22241e2), 588, 196},
+  {GRISU_UINT64_C(0xf92e0c35, 37826146), 627, 208},
+  {GRISU_UINT64_C(0xe2a0b5dc, 971f303a), 667, 220},
+  {GRISU_UINT64_C(0xce1de406, 42e3f4b9), 707, 232},
+  {GRISU_UINT64_C(0xbb764c4c, a7a44410), 747, 244},
+  {GRISU_UINT64_C(0xaa7eebfb, 9df9de8e), 787, 256},
+  {GRISU_UINT64_C(0x9b10a4e5, e9913129), 827, 268},
+  {GRISU_UINT64_C(0x8d07e334, 55637eb3), 867, 280},
+  {GRISU_UINT64_C(0x80444b5e, 7aa7cf85), 907, 292},
+  {GRISU_UINT64_C(0xe950df20, 247c83fd), 946, 304},
+  {GRISU_UINT64_C(0xd433179d, 9c8cb841), 986, 316},
+  {GRISU_UINT64_C(0xc0fe9088, 95cf3b44), 1026, 328},
+  {GRISU_UINT64_C(0xaf87023b, 9bf0ee6b), 1066, 340},
+  };
+static const int GRISU_CACHE_MAX_DISTANCE(12) = 40;
+// nb elements (12): 55
+static const GRISU_CACHE_STRUCT GRISU_CACHE_NAME(13)[] = {
+  {GRISU_UINT64_C(0xe61acf03, 3d1a45df), -1087, -308},
+  {GRISU_UINT64_C(0x82cca4db, 847945ca), -1043, -295},
+  {GRISU_UINT64_C(0x94b3a202, eb1c3f39), -1000, -282},
+  {GRISU_UINT64_C(0xa90de353, 5aaae202), -957, -269},
+  {GRISU_UINT64_C(0xc0314325, 637a193a), -914, -256},
+  {GRISU_UINT64_C(0xda7f5bf5, 90966849), -871, -243},
+  {GRISU_UINT64_C(0xf867241c, 8cc6d4c1), -828, -230},
+  {GRISU_UINT64_C(0x8d3360f0, 9cf6e4bd), -784, -217},
+  {GRISU_UINT64_C(0xa086cfcd, 97bf97f4), -741, -204},
+  {GRISU_UINT64_C(0xb67f6455, 292cbf08), -698, -191},
+  {GRISU_UINT64_C(0xcf79cc9d, b955c2cc), -655, -178},
+  {GRISU_UINT64_C(0xebdf6617, 91d60f56), -612, -165},
+  {GRISU_UINT64_C(0x8613fd01, 45877586), -568, -152},
+  {GRISU_UINT64_C(0x986ddb5c, 6b3a76b8), -525, -139},
+  {GRISU_UINT64_C(0xad4ab711, 2eb3929e), -482, -126},
+  {GRISU_UINT64_C(0xc5029163, f384a931), -439, -113},
+  {GRISU_UINT64_C(0xdff97724, 70297ebd), -396, -100},
+  {GRISU_UINT64_C(0xfea126b7, d78186bd), -353, -87},
+  {GRISU_UINT64_C(0x90bd77f3, 483bb9ba), -309, -74},
+  {GRISU_UINT64_C(0xa48ceaaa, b75a8e2b), -266, -61},
+  {GRISU_UINT64_C(0xbb127c53, b17ec159), -223, -48},
+  {GRISU_UINT64_C(0xd4ad2dbf, c3d07788), -180, -35},
+  {GRISU_UINT64_C(0xf1c90080, baf72cb1), -137, -22},
+  {GRISU_UINT64_C(0x89705f41, 36b4a597), -93, -9},
+  {GRISU_UINT64_C(0x9c400000, 00000000), -50, 4},
+  {GRISU_UINT64_C(0xb1a2bc2e, c5000000), -7, 17},
+  {GRISU_UINT64_C(0xc9f2c9cd, 04674edf), 36, 30},
+  {GRISU_UINT64_C(0xe596b7b0, c643c719), 79, 43},
+  {GRISU_UINT64_C(0x82818f12, 81ed44a0), 123, 56},
+  {GRISU_UINT64_C(0x945e455f, 24fb1cf9), 166, 69},
+  {GRISU_UINT64_C(0xa8acd7c0, 222311bd), 209, 82},
+  {GRISU_UINT64_C(0xbfc2ef45, 6ae276e9), 252, 95},
+  {GRISU_UINT64_C(0xda01ee64, 1a708dea), 295, 108},
+  {GRISU_UINT64_C(0xf7d88bc2, 4209a565), 338, 121},
+  {GRISU_UINT64_C(0x8ce2529e, 2734bb1d), 382, 134},
+  {GRISU_UINT64_C(0xa02aa96b, 06deb0fe), 425, 147},
+  {GRISU_UINT64_C(0xb616a12b, 7fe617aa), 468, 160},
+  {GRISU_UINT64_C(0xcf02b2c2, 1207ef2f), 511, 173},
+  {GRISU_UINT64_C(0xeb57ff22, fc0c795a), 554, 186},
+  {GRISU_UINT64_C(0x85c70565, 62757457), 598, 199},
+  {GRISU_UINT64_C(0x98165af3, 7b2153df), 641, 212},
+  {GRISU_UINT64_C(0xace73cbf, dc0bfb7b), 684, 225},
+  {GRISU_UINT64_C(0xc491798a, 08a2ad4f), 727, 238},
+  {GRISU_UINT64_C(0xdf78e4b2, bd342cf7), 770, 251},
+  {GRISU_UINT64_C(0xfe0efb53, d30dd4d8), 813, 264},
+  {GRISU_UINT64_C(0x906a617d, 450187e2), 857, 277},
+  {GRISU_UINT64_C(0xa42e74f3, d032f526), 900, 290},
+  {GRISU_UINT64_C(0xbaa718e6, 8396cffe), 943, 303},
+  {GRISU_UINT64_C(0xd433179d, 9c8cb841), 986, 316},
+  {GRISU_UINT64_C(0xf13e34aa, bb430a15), 1029, 329},
+  {GRISU_UINT64_C(0x892179be, 91d43a44), 1073, 342},
+  };
+static const int GRISU_CACHE_MAX_DISTANCE(13) = 44;
+// nb elements (13): 51
+static const GRISU_CACHE_STRUCT GRISU_CACHE_NAME(14)[] = {
+  {GRISU_UINT64_C(0xe61acf03, 3d1a45df), -1087, -308},
+  {GRISU_UINT64_C(0xa37fce12, 6597973d), -1040, -294},
+  {GRISU_UINT64_C(0xe858ad24, 8f5c22ca), -994, -280},
+  {GRISU_UINT64_C(0xa5178fff, 668ae0b6), -947, -266},
+  {GRISU_UINT64_C(0xea9c2277, 23ee8bcb), -901, -252},
+  {GRISU_UINT64_C(0xa6b34ad8, c9dfc070), -854, -238},
+  {GRISU_UINT64_C(0xece53cec, 4a314ebe), -808, -224},
+  {GRISU_UINT64_C(0xa8530886, b54dbdec), -761, -210},
+  {GRISU_UINT64_C(0xef340a98, 172aace5), -715, -196},
+  {GRISU_UINT64_C(0xa9f6d30a, 038d1dbc), -668, -182},
+  {GRISU_UINT64_C(0xf18899b1, bc3f8ca2), -622, -168},
+  {GRISU_UINT64_C(0xab9eb47c, 81f5114f), -575, -154},
+  {GRISU_UINT64_C(0xf3e2f893, dec3f126), -529, -140},
+  {GRISU_UINT64_C(0xad4ab711, 2eb3929e), -482, -126},
+  {GRISU_UINT64_C(0xf64335bc, f065d37d), -436, -112},
+  {GRISU_UINT64_C(0xaefae514, 77a06b04), -389, -98},
+  {GRISU_UINT64_C(0xf8a95fcf, 88747d94), -343, -84},
+  {GRISU_UINT64_C(0xb0af48ec, 79ace837), -296, -70},
+  {GRISU_UINT64_C(0xfb158592, be068d2f), -250, -56},
+  {GRISU_UINT64_C(0xb267ed19, 40f1c61c), -203, -42},
+  {GRISU_UINT64_C(0xfd87b5f2, 8300ca0e), -157, -28},
+  {GRISU_UINT64_C(0xb424dc35, 095cd80f), -110, -14},
+  {GRISU_UINT64_C(0x80000000, 00000000), -63, 0},
+  {GRISU_UINT64_C(0xb5e620f4, 80000000), -17, 14},
+  {GRISU_UINT64_C(0x813f3978, f8940984), 30, 28},
+  {GRISU_UINT64_C(0xb7abc627, 050305ae), 76, 42},
+  {GRISU_UINT64_C(0x82818f12, 81ed44a0), 123, 56},
+  {GRISU_UINT64_C(0xb975d6b6, ee39e437), 169, 70},
+  {GRISU_UINT64_C(0x83c7088e, 1aab65db), 216, 84},
+  {GRISU_UINT64_C(0xbb445da9, ca61281f), 262, 98},
+  {GRISU_UINT64_C(0x850fadc0, 9923329e), 309, 112},
+  {GRISU_UINT64_C(0xbd176620, a501fc00), 355, 126},
+  {GRISU_UINT64_C(0x865b8692, 5b9bc5c2), 402, 140},
+  {GRISU_UINT64_C(0xbeeefb58, 4aff8604), 448, 154},
+  {GRISU_UINT64_C(0x87aa9aff, 79042287), 495, 168},
+  {GRISU_UINT64_C(0xc0cb28a9, 8fcf3c80), 541, 182},
+  {GRISU_UINT64_C(0x88fcf317, f22241e2), 588, 196},
+  {GRISU_UINT64_C(0xc2abf989, 935ddbfe), 634, 210},
+  {GRISU_UINT64_C(0x8a5296ff, e33cc930), 681, 224},
+  {GRISU_UINT64_C(0xc491798a, 08a2ad4f), 727, 238},
+  {GRISU_UINT64_C(0x8bab8eef, b6409c1a), 774, 252},
+  {GRISU_UINT64_C(0xc67bb459, 7ce2ce49), 820, 266},
+  {GRISU_UINT64_C(0x8d07e334, 55637eb3), 867, 280},
+  {GRISU_UINT64_C(0xc86ab5c3, 9fa63441), 913, 294},
+  {GRISU_UINT64_C(0x8e679c2f, 5e44ff8f), 960, 308},
+  {GRISU_UINT64_C(0xca5e89b1, 8b602368), 1006, 322},
+  {GRISU_UINT64_C(0x8fcac257, 558ee4e6), 1053, 336},
+  };
+static const int GRISU_CACHE_MAX_DISTANCE(14) = 47;
+// nb elements (14): 47
+static const GRISU_CACHE_STRUCT GRISU_CACHE_NAME(15)[] = {
+  {GRISU_UINT64_C(0xe61acf03, 3d1a45df), -1087, -308},
+  {GRISU_UINT64_C(0xcc5fc196, fefd7d0c), -1037, -293},
+  {GRISU_UINT64_C(0xb5854744, 8ffffb2e), -987, -278},
+  {GRISU_UINT64_C(0xa139029f, 6a239f72), -937, -263},
+  {GRISU_UINT64_C(0x8f31cc09, 37ae58d3), -887, -248},
+  {GRISU_UINT64_C(0xfe5d5415, 0b090b03), -838, -233},
+  {GRISU_UINT64_C(0xe1ebce4d, c7f16dfc), -788, -218},
+  {GRISU_UINT64_C(0xc8a883c0, fdaf7df0), -738, -203},
+  {GRISU_UINT64_C(0xb23867fb, 2a35b28e), -688, -188},
+  {GRISU_UINT64_C(0x9e4a9cec, 15763e2f), -638, -173},
+  {GRISU_UINT64_C(0x8c974f73, 83725573), -588, -158},
+  {GRISU_UINT64_C(0xf9bd690a, 1b68637b), -539, -143},
+  {GRISU_UINT64_C(0xddd0467c, 64bce4a1), -489, -128},
+  {GRISU_UINT64_C(0xc5029163, f384a931), -439, -113},
+  {GRISU_UINT64_C(0xaefae514, 77a06b04), -389, -98},
+  {GRISU_UINT64_C(0x9b69dbe1, b548ce7d), -339, -83},
+  {GRISU_UINT64_C(0x8a08f0f8, bf0f156b), -289, -68},
+  {GRISU_UINT64_C(0xf5330471, 4d9265e0), -240, -53},
+  {GRISU_UINT64_C(0xd9c7dced, 53c72256), -190, -38},
+  {GRISU_UINT64_C(0xc16d9a00, 95928a27), -140, -23},
+  {GRISU_UINT64_C(0xabcc7711, 8461cefd), -90, -8},
+  {GRISU_UINT64_C(0x98968000, 00000000), -40, 7},
+  {GRISU_UINT64_C(0x87867832, 6eac9000), 10, 22},
+  {GRISU_UINT64_C(0xf0bdc21a, bb48db20), 59, 37},
+  {GRISU_UINT64_C(0xd5d238a4, abe98068), 109, 52},
+  {GRISU_UINT64_C(0xbde94e8e, 43d0c8ec), 159, 67},
+  {GRISU_UINT64_C(0xa8acd7c0, 222311bd), 209, 82},
+  {GRISU_UINT64_C(0x95d04aee, 3b80ece6), 259, 97},
+  {GRISU_UINT64_C(0x850fadc0, 9923329e), 309, 112},
+  {GRISU_UINT64_C(0xec5d3fa8, ce427b00), 358, 127},
+  {GRISU_UINT64_C(0xd1ef0244, af2364ff), 408, 142},
+  {GRISU_UINT64_C(0xba756174, 393d88e0), 458, 157},
+  {GRISU_UINT64_C(0xa59bc234, db398c25), 508, 172},
+  {GRISU_UINT64_C(0x9316ff75, dd87cbd8), 558, 187},
+  {GRISU_UINT64_C(0x82a45b45, 0226b39d), 608, 202},
+  {GRISU_UINT64_C(0xe8111c87, c5c1ba9a), 657, 217},
+  {GRISU_UINT64_C(0xce1de406, 42e3f4b9), 707, 232},
+  {GRISU_UINT64_C(0xb7118682, dbb66a77), 757, 247},
+  {GRISU_UINT64_C(0xa298f2c5, 01f45f43), 807, 262},
+  {GRISU_UINT64_C(0x906a617d, 450187e2), 857, 277},
+  {GRISU_UINT64_C(0x80444b5e, 7aa7cf85), 907, 292},
+  {GRISU_UINT64_C(0xe3d8f9e5, 63a198e5), 956, 307},
+  {GRISU_UINT64_C(0xca5e89b1, 8b602368), 1006, 322},
+  {GRISU_UINT64_C(0xb3bd72ed, 2af29e20), 1056, 337},
+  };
+static const int GRISU_CACHE_MAX_DISTANCE(15) = 50;
+// nb elements (15): 44
+static const GRISU_CACHE_STRUCT GRISU_CACHE_NAME(16)[] = {
+  {GRISU_UINT64_C(0xe61acf03, 3d1a45df), -1087, -308},
+  {GRISU_UINT64_C(0xff77b1fc, bebcdc4f), -1034, -292},
+  {GRISU_UINT64_C(0x8dd01fad, 907ffc3c), -980, -276},
+  {GRISU_UINT64_C(0x9d71ac8f, ada6c9b5), -927, -260},
+  {GRISU_UINT64_C(0xaecc4991, 4078536d), -874, -244},
+  {GRISU_UINT64_C(0xc2109436, 4dfb5637), -821, -228},
+  {GRISU_UINT64_C(0xd77485cb, 25823ac7), -768, -212},
+  {GRISU_UINT64_C(0xef340a98, 172aace5), -715, -196},
+  {GRISU_UINT64_C(0x84c8d4df, d2c63f3b), -661, -180},
+  {GRISU_UINT64_C(0x936b9fce, bb25c996), -608, -164},
+  {GRISU_UINT64_C(0xa3ab6658, 0d5fdaf6), -555, -148},
+  {GRISU_UINT64_C(0xb5b5ada8, aaff80b8), -502, -132},
+  {GRISU_UINT64_C(0xc9bcff60, 34c13053), -449, -116},
+  {GRISU_UINT64_C(0xdff97724, 70297ebd), -396, -100},
+  {GRISU_UINT64_C(0xf8a95fcf, 88747d94), -343, -84},
+  {GRISU_UINT64_C(0x8a08f0f8, bf0f156b), -289, -68},
+  {GRISU_UINT64_C(0x993fe2c6, d07b7fac), -236, -52},
+  {GRISU_UINT64_C(0xaa242499, 697392d3), -183, -36},
+  {GRISU_UINT64_C(0xbce50864, 92111aeb), -130, -20},
+  {GRISU_UINT64_C(0xd1b71758, e219652c), -77, -4},
+  {GRISU_UINT64_C(0xe8d4a510, 00000000), -24, 12},
+  {GRISU_UINT64_C(0x813f3978, f8940984), 30, 28},
+  {GRISU_UINT64_C(0x8f7e32ce, 7bea5c70), 83, 44},
+  {GRISU_UINT64_C(0x9f4f2726, 179a2245), 136, 60},
+  {GRISU_UINT64_C(0xb0de6538, 8cc8ada8), 189, 76},
+  {GRISU_UINT64_C(0xc45d1df9, 42711d9a), 242, 92},
+  {GRISU_UINT64_C(0xda01ee64, 1a708dea), 295, 108},
+  {GRISU_UINT64_C(0xf209787b, b47d6b85), 348, 124},
+  {GRISU_UINT64_C(0x865b8692, 5b9bc5c2), 402, 140},
+  {GRISU_UINT64_C(0x952ab45c, fa97a0b3), 455, 156},
+  {GRISU_UINT64_C(0xa59bc234, db398c25), 508, 172},
+  {GRISU_UINT64_C(0xb7dcbf53, 54e9bece), 561, 188},
+  {GRISU_UINT64_C(0xcc20ce9b, d35c78a5), 614, 204},
+  {GRISU_UINT64_C(0xe2a0b5dc, 971f303a), 667, 220},
+  {GRISU_UINT64_C(0xfb9b7cd9, a4a7443c), 720, 236},
+  {GRISU_UINT64_C(0x8bab8eef, b6409c1a), 774, 252},
+  {GRISU_UINT64_C(0x9b10a4e5, e9913129), 827, 268},
+  {GRISU_UINT64_C(0xac2820d9, 623bf429), 880, 284},
+  {GRISU_UINT64_C(0xbf21e440, 03acdd2d), 933, 300},
+  {GRISU_UINT64_C(0xd433179d, 9c8cb841), 986, 316},
+  {GRISU_UINT64_C(0xeb96bf6e, badf77d9), 1039, 332},
+  };
+static const int GRISU_CACHE_MAX_DISTANCE(16) = 54;
+// nb elements (16): 41
+static const GRISU_CACHE_STRUCT GRISU_CACHE_NAME(17)[] = {
+  {GRISU_UINT64_C(0xe61acf03, 3d1a45df), -1087, -308},
+  {GRISU_UINT64_C(0x9faacf3d, f73609b1), -1030, -291},
+  {GRISU_UINT64_C(0xdd95317f, 31c7fa1d), -974, -274},
+  {GRISU_UINT64_C(0x99c10284, 4f94e0fb), -917, -257},
+  {GRISU_UINT64_C(0xd5605fcd, cf32e1d7), -861, -240},
+  {GRISU_UINT64_C(0x940f4613, ae5ed137), -804, -223},
+  {GRISU_UINT64_C(0xcd795be8, 70516656), -748, -206},
+  {GRISU_UINT64_C(0x8e938662, 882af53e), -691, -189},
+  {GRISU_UINT64_C(0xc5dd4427, 1ad3cdba), -635, -172},
+  {GRISU_UINT64_C(0x894bc396, ce5da772), -578, -155},
+  {GRISU_UINT64_C(0xbe895233, 86091466), -522, -138},
+  {GRISU_UINT64_C(0x843610cb, 4bf160cc), -465, -121},
+  {GRISU_UINT64_C(0xb77ada06, 17e3bbcb), -409, -104},
+  {GRISU_UINT64_C(0xfea126b7, d78186bd), -353, -87},
+  {GRISU_UINT64_C(0xb0af48ec, 79ace837), -296, -70},
+  {GRISU_UINT64_C(0xf5330471, 4d9265e0), -240, -53},
+  {GRISU_UINT64_C(0xaa242499, 697392d3), -183, -36},
+  {GRISU_UINT64_C(0xec1e4a7d, b69561a5), -127, -19},
+  {GRISU_UINT64_C(0xa3d70a3d, 70a3d70a), -70, -2},
+  {GRISU_UINT64_C(0xe35fa931, a0000000), -14, 15},
+  {GRISU_UINT64_C(0x9dc5ada8, 2b70b59e), 43, 32},
+  {GRISU_UINT64_C(0xdaf3f046, 51d47b4c), 99, 49},
+  {GRISU_UINT64_C(0x97edd871, cfda3a57), 156, 66},
+  {GRISU_UINT64_C(0xd2d80db0, 2aabd62c), 212, 83},
+  {GRISU_UINT64_C(0x924d692c, a61be758), 269, 100},
+  {GRISU_UINT64_C(0xcb090c80, 01ab551c), 325, 117},
+  {GRISU_UINT64_C(0x8ce2529e, 2734bb1d), 382, 134},
+  {GRISU_UINT64_C(0xc38413cf, 25e2d70e), 438, 151},
+  {GRISU_UINT64_C(0x87aa9aff, 79042287), 495, 168},
+  {GRISU_UINT64_C(0xbc4665b5, 96706115), 551, 185},
+  {GRISU_UINT64_C(0x82a45b45, 0226b39d), 608, 202},
+  {GRISU_UINT64_C(0xb54d5e4a, 127f59c8), 664, 219},
+  {GRISU_UINT64_C(0xfb9b7cd9, a4a7443c), 720, 236},
+  {GRISU_UINT64_C(0xae9672ab, a3d0c321), 777, 253},
+  {GRISU_UINT64_C(0xf24a01a7, 3cf2dcd0), 833, 270},
+  {GRISU_UINT64_C(0xa81f3014, 49ee8c70), 890, 287},
+  {GRISU_UINT64_C(0xe950df20, 247c83fd), 946, 304},
+  {GRISU_UINT64_C(0xa1e53af4, 6f801c53), 1003, 321},
+  {GRISU_UINT64_C(0xe0accfa8, 75af45a8), 1059, 338},
+  };
+static const int GRISU_CACHE_MAX_DISTANCE(17) = 57;
+// nb elements (17): 39
+static const GRISU_CACHE_STRUCT GRISU_CACHE_NAME(18)[] = {
+  {GRISU_UINT64_C(0xe61acf03, 3d1a45df), -1087, -308},
+  {GRISU_UINT64_C(0xc795830d, 75038c1e), -1027, -290},
+  {GRISU_UINT64_C(0xad1c8eab, 5ee43b67), -967, -272},
+  {GRISU_UINT64_C(0x96267c75, 35b763b5), -907, -254},
+  {GRISU_UINT64_C(0x823c1279, 5db6ce57), -847, -236},
+  {GRISU_UINT64_C(0xe1ebce4d, c7f16dfc), -788, -218},
+  {GRISU_UINT64_C(0xc3f490aa, 77bd60fd), -728, -200},
+  {GRISU_UINT64_C(0xa9f6d30a, 038d1dbc), -668, -182},
+  {GRISU_UINT64_C(0x936b9fce, bb25c996), -608, -164},
+  {GRISU_UINT64_C(0xffbbcfe9, 94e5c620), -549, -146},
+  {GRISU_UINT64_C(0xddd0467c, 64bce4a1), -489, -128},
+  {GRISU_UINT64_C(0xc06481fb, 9bcf8d3a), -429, -110},
+  {GRISU_UINT64_C(0xa6dfbd9f, b8e5b88f), -369, -92},
+  {GRISU_UINT64_C(0x90bd77f3, 483bb9ba), -309, -74},
+  {GRISU_UINT64_C(0xfb158592, be068d2f), -250, -56},
+  {GRISU_UINT64_C(0xd9c7dced, 53c72256), -190, -38},
+  {GRISU_UINT64_C(0xbce50864, 92111aeb), -130, -20},
+  {GRISU_UINT64_C(0xa3d70a3d, 70a3d70a), -70, -2},
+  {GRISU_UINT64_C(0x8e1bc9bf, 04000000), -10, 16},
+  {GRISU_UINT64_C(0xf684df56, c3e01bc7), 49, 34},
+  {GRISU_UINT64_C(0xd5d238a4, abe98068), 109, 52},
+  {GRISU_UINT64_C(0xb975d6b6, ee39e437), 169, 70},
+  {GRISU_UINT64_C(0xa0dc75f1, 778e39d6), 229, 88},
+  {GRISU_UINT64_C(0x8b865b21, 5899f46d), 289, 106},
+  {GRISU_UINT64_C(0xf209787b, b47d6b85), 348, 124},
+  {GRISU_UINT64_C(0xd1ef0244, af2364ff), 408, 142},
+  {GRISU_UINT64_C(0xb616a12b, 7fe617aa), 468, 160},
+  {GRISU_UINT64_C(0x9defbf01, b061adab), 528, 178},
+  {GRISU_UINT64_C(0x88fcf317, f22241e2), 588, 196},
+  {GRISU_UINT64_C(0xeda2ee1c, 7064130c), 647, 214},
+  {GRISU_UINT64_C(0xce1de406, 42e3f4b9), 707, 232},
+  {GRISU_UINT64_C(0xb2c71d5b, ca9023f8), 767, 250},
+  {GRISU_UINT64_C(0x9b10a4e5, e9913129), 827, 268},
+  {GRISU_UINT64_C(0x867f59a9, d4bed6c0), 887, 286},
+  {GRISU_UINT64_C(0xe950df20, 247c83fd), 946, 304},
+  {GRISU_UINT64_C(0xca5e89b1, 8b602368), 1006, 322},
+  {GRISU_UINT64_C(0xaf87023b, 9bf0ee6b), 1066, 340},
+  };
+static const int GRISU_CACHE_MAX_DISTANCE(18) = 60;
+// nb elements (18): 37
+static const GRISU_CACHE_STRUCT GRISU_CACHE_NAME(19)[] = {
+  {GRISU_UINT64_C(0xe61acf03, 3d1a45df), -1087, -308},
+  {GRISU_UINT64_C(0xf97ae3d0, d2446f25), -1024, -289},
+  {GRISU_UINT64_C(0x873e4f75, e2224e68), -960, -270},
+  {GRISU_UINT64_C(0x92a1958a, 7675175f), -897, -251},
+  {GRISU_UINT64_C(0x9efa548d, 26e5a6e2), -834, -232},
+  {GRISU_UINT64_C(0xac5d37d5, b79b6239), -771, -213},
+  {GRISU_UINT64_C(0xbae0a846, d2195713), -708, -194},
+  {GRISU_UINT64_C(0xca9cf1d2, 06fdc03c), -645, -175},
+  {GRISU_UINT64_C(0xdbac6c24, 7d62a584), -582, -156},
+  {GRISU_UINT64_C(0xee2ba6c0, 678b597f), -519, -137},
+  {GRISU_UINT64_C(0x811ccc66, 8829b887), -455, -118},
+  {GRISU_UINT64_C(0x8bfbea76, c619ef36), -392, -99},
+  {GRISU_UINT64_C(0x97c560ba, 6b0919a6), -329, -80},
+  {GRISU_UINT64_C(0xa48ceaaa, b75a8e2b), -266, -61},
+  {GRISU_UINT64_C(0xb267ed19, 40f1c61c), -203, -42},
+  {GRISU_UINT64_C(0xc16d9a00, 95928a27), -140, -23},
+  {GRISU_UINT64_C(0xd1b71758, e219652c), -77, -4},
+  {GRISU_UINT64_C(0xe35fa931, a0000000), -14, 15},
+  {GRISU_UINT64_C(0xf684df56, c3e01bc7), 49, 34},
+  {GRISU_UINT64_C(0x85a36366, eb71f041), 113, 53},
+  {GRISU_UINT64_C(0x90e40fbe, ea1d3a4b), 176, 72},
+  {GRISU_UINT64_C(0x9d174b2d, cec0e47b), 239, 91},
+  {GRISU_UINT64_C(0xaa51823e, 34a7eedf), 302, 110},
+  {GRISU_UINT64_C(0xb8a8d9bb, e123f018), 365, 129},
+  {GRISU_UINT64_C(0xc83553c5, c8965d3d), 428, 148},
+  {GRISU_UINT64_C(0xd910f7ff, 28069da4), 491, 167},
+  {GRISU_UINT64_C(0xeb57ff22, fc0c795a), 554, 186},
+  {GRISU_UINT64_C(0xff290242, c83396ce), 617, 205},
+  {GRISU_UINT64_C(0x8a5296ff, e33cc930), 681, 224},
+  {GRISU_UINT64_C(0x95f83d0a, 1fb69cd9), 744, 243},
+  {GRISU_UINT64_C(0xa298f2c5, 01f45f43), 807, 262},
+  {GRISU_UINT64_C(0xb049dc01, 6abc5e60), 870, 281},
+  {GRISU_UINT64_C(0xbf21e440, 03acdd2d), 933, 300},
+  {GRISU_UINT64_C(0xcf39e50f, eae16bf0), 996, 319},
+  {GRISU_UINT64_C(0xe0accfa8, 75af45a8), 1059, 338},
+  };
+static const int GRISU_CACHE_MAX_DISTANCE(19) = 64;
+// nb elements (19): 35
+static const GRISU_CACHE_STRUCT GRISU_CACHE_NAME(20)[] = {
+  {GRISU_UINT64_C(0xe61acf03, 3d1a45df), -1087, -308},
+  {GRISU_UINT64_C(0x9becce62, 836ac577), -1020, -288},
+  {GRISU_UINT64_C(0xd3515c28, 31559a83), -954, -268},
+  {GRISU_UINT64_C(0x8f31cc09, 37ae58d3), -887, -248},
+  {GRISU_UINT64_C(0xc2109436, 4dfb5637), -821, -228},
+  {GRISU_UINT64_C(0x8380dea9, 3da4bc60), -754, -208},
+  {GRISU_UINT64_C(0xb23867fb, 2a35b28e), -688, -188},
+  {GRISU_UINT64_C(0xf18899b1, bc3f8ca2), -622, -168},
+  {GRISU_UINT64_C(0xa3ab6658, 0d5fdaf6), -555, -148},
+  {GRISU_UINT64_C(0xddd0467c, 64bce4a1), -489, -128},
+  {GRISU_UINT64_C(0x964e858c, 91ba2655), -422, -108},
+  {GRISU_UINT64_C(0xcbb41ef9, 79346bca), -356, -88},
+  {GRISU_UINT64_C(0x8a08f0f8, bf0f156b), -289, -68},
+  {GRISU_UINT64_C(0xbb127c53, b17ec159), -223, -48},
+  {GRISU_UINT64_C(0xfd87b5f2, 8300ca0e), -157, -28},
+  {GRISU_UINT64_C(0xabcc7711, 8461cefd), -90, -8},
+  {GRISU_UINT64_C(0xe8d4a510, 00000000), -24, 12},
+  {GRISU_UINT64_C(0x9dc5ada8, 2b70b59e), 43, 32},
+  {GRISU_UINT64_C(0xd5d238a4, abe98068), 109, 52},
+  {GRISU_UINT64_C(0x90e40fbe, ea1d3a4b), 176, 72},
+  {GRISU_UINT64_C(0xc45d1df9, 42711d9a), 242, 92},
+  {GRISU_UINT64_C(0x850fadc0, 9923329e), 309, 112},
+  {GRISU_UINT64_C(0xb454e4a1, 79dd1877), 375, 132},
+  {GRISU_UINT64_C(0xf46518c2, ef5b8cd1), 441, 152},
+  {GRISU_UINT64_C(0xa59bc234, db398c25), 508, 172},
+  {GRISU_UINT64_C(0xe070f78d, 3927556b), 574, 192},
+  {GRISU_UINT64_C(0x98165af3, 7b2153df), 641, 212},
+  {GRISU_UINT64_C(0xce1de406, 42e3f4b9), 707, 232},
+  {GRISU_UINT64_C(0x8bab8eef, b6409c1a), 774, 252},
+  {GRISU_UINT64_C(0xbd49d14a, a79dbc82), 840, 272},
+  {GRISU_UINT64_C(0x80444b5e, 7aa7cf85), 907, 292},
+  {GRISU_UINT64_C(0xadd57a27, d29339f6), 973, 312},
+  {GRISU_UINT64_C(0xeb96bf6e, badf77d9), 1039, 332},
+  };
+static const int GRISU_CACHE_MAX_DISTANCE(20) = 67;
+// nb elements (20): 33
+static const int GRISU_CACHE_OFFSET = 308;

diff --git a/test/cctest/SConscript b/test/cctest/SConscript
index 7335b7a5c36cd8e55af5d5eb2f3575592d6174e0..ae679645d455c0d347b881f59a90b71988381b65 100644 (file)
--- a/test/cctest/SConscript
+++ b/test/cctest/SConscript
@@ -43,8 +43,11 @@ SOURCES = {
     'test-dataflow.cc',
     'test-debug.cc',
     'test-decls.cc',
+    'test-diy_fp.cc',
+    'test-double.cc',
     'test-flags.cc',
     'test-func-name-inference.cc',
+    'test-grisu3.cc',
     'test-hashmap.cc',
     'test-heap.cc',
     'test-heap-profiler.cc',

diff --git a/test/cctest/test-diy_fp.cc b/test/cctest/test-diy_fp.cc
new file mode 100644 (file)
index 0000000..223e292
--- /dev/null
+++ b/test/cctest/test-diy_fp.cc
@@ -0,0 +1,66 @@
+// Copyright 2006-2008 the V8 project authors. All rights reserved.
+
+#include <stdlib.h>
+
+#include "v8.h"
+
+#include "platform.h"
+#include "cctest.h"
+#include "diy_fp.h"
+
+using namespace v8::internal;
+
+
+TEST(Subtract) {
+  DiyFp diy_fp1 = DiyFp(3, 0);
+  DiyFp diy_fp2 = DiyFp(1, 0);
+  DiyFp diff = DiyFp::Minus(diy_fp1, diy_fp2);
+
+  CHECK(2 == diff.f());
+  CHECK_EQ(0, diff.e());
+  diy_fp1.Subtract(diy_fp2);
+  CHECK(2 == diy_fp1.f());
+  CHECK_EQ(0, diy_fp1.e());
+}
+
+
+TEST(Multiply) {
+  DiyFp diy_fp1 = DiyFp(3, 0);
+  DiyFp diy_fp2 = DiyFp(2, 0);
+  DiyFp product = DiyFp::Times(diy_fp1, diy_fp2);
+
+  CHECK(0 == product.f());
+  CHECK_EQ(64, product.e());
+  diy_fp1.Multiply(diy_fp2);
+  CHECK(0 == diy_fp1.f());
+  CHECK_EQ(64, diy_fp1.e());
+
+  diy_fp1 = DiyFp(V8_2PART_UINT64_C(0x80000000, 00000000), 11);
+  diy_fp2 = DiyFp(2, 13);
+  product = DiyFp::Times(diy_fp1, diy_fp2);
+  CHECK(1 == product.f());
+  CHECK_EQ(11 + 13 + 64, product.e());
+
+  // Test rounding.
+  diy_fp1 = DiyFp(V8_2PART_UINT64_C(0x80000000, 00000001), 11);
+  diy_fp2 = DiyFp(1, 13);
+  product = DiyFp::Times(diy_fp1, diy_fp2);
+  CHECK(1 == product.f());
+  CHECK_EQ(11 + 13 + 64, product.e());
+
+  diy_fp1 = DiyFp(V8_2PART_UINT64_C(0x7fffffff, ffffffff), 11);
+  diy_fp2 = DiyFp(1, 13);
+  product = DiyFp::Times(diy_fp1, diy_fp2);
+  CHECK(0 == product.f());
+  CHECK_EQ(11 + 13 + 64, product.e());
+
+  // Halfway cases are allowed to round either way. So don't check for it.
+
+  // Big numbers.
+  diy_fp1 = DiyFp(V8_2PART_UINT64_C(0xFFFFFFFF, FFFFFFFF), 11);
+  diy_fp2 = DiyFp(V8_2PART_UINT64_C(0xFFFFFFFF, FFFFFFFF), 13);
+  // 128bit result: 0xfffffffffffffffe0000000000000001
+  product = DiyFp::Times(diy_fp1, diy_fp2);
+  CHECK(V8_2PART_UINT64_C(0xFFFFFFFF, FFFFFFFe) == product.f());
+  CHECK_EQ(11 + 13 + 64, product.e());
+}

diff --git a/test/cctest/test-double.cc b/test/cctest/test-double.cc
new file mode 100644 (file)
index 0000000..6a4b5ff
--- /dev/null
+++ b/test/cctest/test-double.cc
@@ -0,0 +1,200 @@
+// Copyright 2006-2008 the V8 project authors. All rights reserved.
+
+#include <stdlib.h>
+
+#include "v8.h"
+
+#include "platform.h"
+#include "cctest.h"
+#include "diy_fp.h"
+#include "double.h"
+
+using namespace v8::internal;
+
+
+TEST(Uint64Conversions) {
+  // Start by checking the byte-order.
+  uint64_t ordered = V8_2PART_UINT64_C(0x01234567, 89ABCDEF);
+  CHECK_EQ(3512700564088504e-318, Double(ordered).value());
+
+  uint64_t min_double64 = V8_2PART_UINT64_C(0x00000000, 00000001);
+  CHECK_EQ(5e-324, Double(min_double64).value());
+
+  uint64_t max_double64 = V8_2PART_UINT64_C(0x7fefffff, ffffffff);
+  CHECK_EQ(1.7976931348623157e308, Double(max_double64).value());
+}
+
+TEST(AsDiyFp) {
+  uint64_t ordered = V8_2PART_UINT64_C(0x01234567, 89ABCDEF);
+  DiyFp diy_fp = Double(ordered).AsDiyFp();
+  CHECK_EQ(0x12 - 0x3FF - 52, diy_fp.e());
+  // The 52 mantissa bits, plus the implicit 1 in bit 52 as a UINT64.
+  CHECK(V8_2PART_UINT64_C(0x00134567, 89ABCDEF) == diy_fp.f());
+
+  uint64_t min_double64 = V8_2PART_UINT64_C(0x00000000, 00000001);
+  diy_fp = Double(min_double64).AsDiyFp();
+  CHECK_EQ(-0x3FF - 52 + 1, diy_fp.e());
+  // This is a denormal; so no hidden bit.
+  CHECK(1 == diy_fp.f());
+
+  uint64_t max_double64 = V8_2PART_UINT64_C(0x7fefffff, ffffffff);
+  diy_fp = Double(max_double64).AsDiyFp();
+  CHECK_EQ(0x7FE - 0x3FF - 52, diy_fp.e());
+  CHECK(V8_2PART_UINT64_C(0x001fffff, ffffffff) == diy_fp.f());
+}
+
+
+TEST(AsNormalizedDiyFp) {
+  uint64_t ordered = V8_2PART_UINT64_C(0x01234567, 89ABCDEF);
+  DiyFp diy_fp = Double(ordered).AsNormalizedDiyFp();
+  CHECK_EQ(0x12 - 0x3FF - 52 - 11, diy_fp.e());
+  CHECK((V8_2PART_UINT64_C(0x00134567, 89ABCDEF) << 11) == diy_fp.f());
+
+  uint64_t min_double64 = V8_2PART_UINT64_C(0x00000000, 00000001);
+  diy_fp = Double(min_double64).AsNormalizedDiyFp();
+  CHECK_EQ(-0x3FF - 52 + 1 - 63, diy_fp.e());
+  // This is a denormal; so no hidden bit.
+  CHECK(V8_2PART_UINT64_C(0x80000000, 00000000) == diy_fp.f());
+
+  uint64_t max_double64 = V8_2PART_UINT64_C(0x7fefffff, ffffffff);
+  diy_fp = Double(max_double64).AsNormalizedDiyFp();
+  CHECK_EQ(0x7FE - 0x3FF - 52 - 11, diy_fp.e());
+  CHECK((V8_2PART_UINT64_C(0x001fffff, ffffffff) << 11) == diy_fp.f());
+}
+
+
+TEST(IsDenormal) {
+  uint64_t min_double64 = V8_2PART_UINT64_C(0x00000000, 00000001);
+  CHECK(Double(min_double64).IsDenormal());
+  uint64_t bits = V8_2PART_UINT64_C(0x000FFFFF, FFFFFFFF);
+  CHECK(Double(bits).IsDenormal());
+  bits = V8_2PART_UINT64_C(0x00100000, 00000000);
+  CHECK(!Double(bits).IsDenormal());
+}
+
+
+TEST(IsSpecial) {
+  CHECK(Double(V8_INFINITY).IsSpecial());
+  CHECK(Double(-V8_INFINITY).IsSpecial());
+  CHECK(Double(OS::nan_value()).IsSpecial());
+  uint64_t bits = V8_2PART_UINT64_C(0xFFF12345, 00000000);
+  CHECK(Double(bits).IsSpecial());
+  // Denormals are not special:
+  CHECK(!Double(5e-324).IsSpecial());
+  CHECK(!Double(-5e-324).IsSpecial());
+  // And some random numbers:
+  CHECK(!Double(0.0).IsSpecial());
+  CHECK(!Double(-0.0).IsSpecial());
+  CHECK(!Double(1.0).IsSpecial());
+  CHECK(!Double(-1.0).IsSpecial());
+  CHECK(!Double(1000000.0).IsSpecial());
+  CHECK(!Double(-1000000.0).IsSpecial());
+  CHECK(!Double(1e23).IsSpecial());
+  CHECK(!Double(-1e23).IsSpecial());
+  CHECK(!Double(1.7976931348623157e308).IsSpecial());
+  CHECK(!Double(-1.7976931348623157e308).IsSpecial());
+}
+
+
+TEST(IsInfinite) {
+  CHECK(Double(V8_INFINITY).IsInfinite());
+  CHECK(Double(-V8_INFINITY).IsInfinite());
+  CHECK(!Double(OS::nan_value()).IsInfinite());
+  CHECK(!Double(0.0).IsInfinite());
+  CHECK(!Double(-0.0).IsInfinite());
+  CHECK(!Double(1.0).IsInfinite());
+  CHECK(!Double(-1.0).IsInfinite());
+  uint64_t min_double64 = V8_2PART_UINT64_C(0x00000000, 00000001);
+  CHECK(!Double(min_double64).IsInfinite());
+}
+
+
+TEST(IsNan) {
+  CHECK(Double(OS::nan_value()).IsNan());
+  uint64_t other_nan = V8_2PART_UINT64_C(0xFFFFFFFF, 00000001);
+  CHECK(Double(other_nan).IsNan());
+  CHECK(!Double(V8_INFINITY).IsNan());
+  CHECK(!Double(-V8_INFINITY).IsNan());
+  CHECK(!Double(0.0).IsNan());
+  CHECK(!Double(-0.0).IsNan());
+  CHECK(!Double(1.0).IsNan());
+  CHECK(!Double(-1.0).IsNan());
+  uint64_t min_double64 = V8_2PART_UINT64_C(0x00000000, 00000001);
+  CHECK(!Double(min_double64).IsNan());
+}
+
+
+TEST(Sign) {
+  CHECK_EQ(1, Double(1.0).Sign());
+  CHECK_EQ(1, Double(V8_INFINITY).Sign());
+  CHECK_EQ(-1, Double(-V8_INFINITY).Sign());
+  CHECK_EQ(1, Double(0.0).Sign());
+  CHECK_EQ(-1, Double(-0.0).Sign());
+  uint64_t min_double64 = V8_2PART_UINT64_C(0x00000000, 00000001);
+  CHECK_EQ(1, Double(min_double64).Sign());
+}
+
+
+TEST(NormalizedBoundaries) {
+  DiyFp boundary_plus;
+  DiyFp boundary_minus;
+  DiyFp diy_fp = Double(1.5).AsNormalizedDiyFp();
+  Double(1.5).NormalizedBoundaries(&boundary_minus, &boundary_plus);
+  CHECK_EQ(diy_fp.e(), boundary_minus.e());
+  CHECK_EQ(diy_fp.e(), boundary_plus.e());
+  // 1.5 does not have a significand of the form 2^p (for some p).
+  // Therefore its boundaries are at the same distance.
+  CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
+  CHECK((1 << 10) == diy_fp.f() - boundary_minus.f());
+
+  diy_fp = Double(1.0).AsNormalizedDiyFp();
+  Double(1.0).NormalizedBoundaries(&boundary_minus, &boundary_plus);
+  CHECK_EQ(diy_fp.e(), boundary_minus.e());
+  CHECK_EQ(diy_fp.e(), boundary_plus.e());
+  // 1.0 does have a significand of the form 2^p (for some p).
+  // Therefore its lower boundary is twice as close as the upper boundary.
+  CHECK_GT(boundary_plus.f() - diy_fp.f(), diy_fp.f() - boundary_minus.f());
+  CHECK((1 << 9) == diy_fp.f() - boundary_minus.f());
+  CHECK((1 << 10) == boundary_plus.f() - diy_fp.f());
+
+  uint64_t min_double64 = V8_2PART_UINT64_C(0x00000000, 00000001);
+  diy_fp = Double(min_double64).AsNormalizedDiyFp();
+  Double(min_double64).NormalizedBoundaries(&boundary_minus, &boundary_plus);
+  CHECK_EQ(diy_fp.e(), boundary_minus.e());
+  CHECK_EQ(diy_fp.e(), boundary_plus.e());
+  // min-value does not have a significand of the form 2^p (for some p).
+  // Therefore its boundaries are at the same distance.
+  CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
+  // Denormals have their boundaries much closer.
+  CHECK((static_cast<uint64_t>(1) << 62) == diy_fp.f() - boundary_minus.f());
+
+  uint64_t smallest_normal64 = V8_2PART_UINT64_C(0x00100000, 00000000);
+  diy_fp = Double(smallest_normal64).AsNormalizedDiyFp();
+  Double(smallest_normal64).NormalizedBoundaries(&boundary_minus,
+                                                 &boundary_plus);
+  CHECK_EQ(diy_fp.e(), boundary_minus.e());
+  CHECK_EQ(diy_fp.e(), boundary_plus.e());
+  // Even though the significand is of the form 2^p (for some p), its boundaries
+  // are at the same distance. (This is the only exception).
+  CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
+  CHECK((1 << 10) == diy_fp.f() - boundary_minus.f());
+
+  uint64_t largest_denormal64 = V8_2PART_UINT64_C(0x000FFFFF, FFFFFFFF);
+  diy_fp = Double(largest_denormal64).AsNormalizedDiyFp();
+  Double(largest_denormal64).NormalizedBoundaries(&boundary_minus,
+                                                  &boundary_plus);
+  CHECK_EQ(diy_fp.e(), boundary_minus.e());
+  CHECK_EQ(diy_fp.e(), boundary_plus.e());
+  CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
+  CHECK((1 << 11) == diy_fp.f() - boundary_minus.f());
+
+  uint64_t max_double64 = V8_2PART_UINT64_C(0x7fefffff, ffffffff);
+  diy_fp = Double(max_double64).AsNormalizedDiyFp();
+  Double(max_double64).NormalizedBoundaries(&boundary_minus, &boundary_plus);
+  CHECK_EQ(diy_fp.e(), boundary_minus.e());
+  CHECK_EQ(diy_fp.e(), boundary_plus.e());
+  // max-value does not have a significand of the form 2^p (for some p).
+  // Therefore its boundaries are at the same distance.
+  CHECK(diy_fp.f() - boundary_minus.f() == boundary_plus.f() - diy_fp.f());
+  CHECK((1 << 10) == diy_fp.f() - boundary_minus.f());
+}

diff --git a/test/cctest/test-grisu3.cc b/test/cctest/test-grisu3.cc
new file mode 100644 (file)
index 0000000..0707836
--- /dev/null
+++ b/test/cctest/test-grisu3.cc
@@ -0,0 +1,174 @@
+// Copyright 2006-2008 the V8 project authors. All rights reserved.
+
+#include <stdlib.h>
+
+#include "v8.h"
+
+#include "platform.h"
+#include "cctest.h"
+#include "diy_fp.h"
+#include "double.h"
+#include "grisu3.h"
+
+#include "test-dtoa.h"
+
+using namespace v8::internal;
+
+TEST(DoubleExtremes) {
+  char buffer[kBufferSize];
+  int length;
+  int sign;
+  int point;
+  bool status;
+  double min_double = 5e-324;
+  status = grisu3(min_double, buffer, &sign, &length, &point);
+  CHECK(status);
+  CHECK_EQ(0, sign);
+  CHECK_EQ("5", buffer);
+  CHECK_EQ(-323, point);
+
+  double max_double = 1.7976931348623157e308;
+  status = grisu3(max_double, buffer, &sign, &length, &point);
+  CHECK(status);
+  CHECK_EQ(0, sign);
+  CHECK_EQ("17976931348623157", buffer);
+  CHECK_EQ(309, point);
+}
+
+
+TEST(DoubleTestFunctions) {
+  char buffer[kBufferSize];
+
+  strncpy(buffer, "12345", kBufferSize);
+  CHECK(IsCorrect(123.45, buffer, 0, 5, 3));
+  strncpy(buffer, "12345", kBufferSize);
+  CHECK(IsCorrect(1.2345, buffer, 0, 5, 1));
+  strncpy(buffer, "12345", kBufferSize);
+  CHECK(!IsCorrect(1.2344, buffer, 0, 5, 1));
+  strncpy(buffer, "12345", kBufferSize);
+  CHECK(!IsCorrect(1.2345, buffer, 0, 5, 2));
+  strncpy(buffer, "12345", kBufferSize);
+  CHECK(!IsCorrect(1.2345, buffer, 0, 4, 1));
+
+  strncpy(buffer, "1234", kBufferSize);
+  CHECK(IsRounded(123.44, buffer, 0, 4, 3));
+  strncpy(buffer, "1234", kBufferSize);
+  CHECK(!IsRounded(123.4500000000001, buffer, 0, 4, 3));
+  strncpy(buffer, "1234", kBufferSize);
+  CHECK(IsRounded(123.44999999, buffer, 0, 4, 3));
+  strncpy(buffer, "1234", kBufferSize);
+  CHECK(IsRounded(123.44999999, buffer, 0, 3, 3));
+
+  strncpy(buffer, "1234567000000000000000000001", kBufferSize);
+  CHECK(IsShortest(123.45, buffer, 0, 5, 3));
+  strncpy(buffer, "1234567000000000000000000001", kBufferSize);
+  CHECK(IsShortest(123.4567, buffer, 0, 7, 3));
+  strncpy(buffer, "1234567000000000000000000001", kBufferSize);
+  CHECK(!IsShortest(123.4567, buffer, 0, strlen(buffer), 3));
+
+  strncpy(buffer, "123456699999999999999999999999999999", kBufferSize);
+  CHECK(!IsShortest(123.4567, buffer, 0, strlen(buffer), 3));
+  strncpy(buffer, "123456699999999999999999999999999999", kBufferSize);
+  CHECK(IsShortest(123.456, buffer, 0, 6, 3));
+}
+
+
+TEST(VariousDoubles) {
+  char buffer[kBufferSize];
+  int sign;
+  int length;
+  int point;
+  int status;
+  status = grisu3(4294967272.0, buffer, &sign, &length, &point);
+  CHECK(status);
+  CHECK_EQ(0, sign);
+  CHECK_EQ("4294967272", buffer);
+  CHECK_EQ(10, point);
+
+  status = grisu3(4.1855804968213567e298, buffer, &sign, &length, &point);
+  CHECK(status);
+  CHECK_EQ(0, sign);
+  CHECK_EQ("4185580496821357", buffer);
+  CHECK_EQ(299, point);
+
+  status = grisu3(5.5626846462680035e-309, buffer, &sign, &length, &point);
+  CHECK(status);
+  CHECK_EQ(0, sign);
+  CHECK_EQ("5562684646268003", buffer);
+  CHECK_EQ(-308, point);
+
+  status = grisu3(2147483648.0, buffer, &sign, &length, &point);
+  CHECK(status);
+  CHECK_EQ(0, sign);
+  CHECK_EQ("2147483648", buffer);
+  CHECK_EQ(10, point);
+
+  status = grisu3(3.5844466002796428e+298, buffer, &sign, &length, &point);
+  if (status) {  // Not all grisu3 variants manage to compute this number.
+    CHECK_EQ("35844466002796428", buffer);
+    CHECK_EQ(0, sign);
+    CHECK_EQ(299, point);
+  }
+
+  uint64_t smallest_normal64 = V8_2PART_UINT64_C(0x00100000, 00000000);
+  double v = Double(smallest_normal64).value();
+  status = grisu3(v, buffer, &sign, &length, &point);
+  if (status) {
+    CHECK_EQ(0, sign);
+    CHECK(IsCorrect(v, buffer, 0, length, point));
+    CHECK(IsRounded(v, buffer, 0, length, point));
+    CHECK(IsShortest(v, buffer, 0, length, point));
+  }
+
+  uint64_t largest_denormal64 = V8_2PART_UINT64_C(0x000FFFFF, FFFFFFFF);
+  v = Double(largest_denormal64).value();
+  status = grisu3(v, buffer, &sign, &length, &point);
+  if (status) {
+    CHECK_EQ(0, sign);
+    CHECK(IsCorrect(v, buffer, 0, length, point));
+    CHECK(IsRounded(v, buffer, 0, length, point));
+    CHECK(IsShortest(v, buffer, 0, length, point));
+  }
+}
+
+
+static double random_double() {
+  uint64_t double64 = 0;
+  for (int i = 0; i < 8; i++) {
+    double64 <<= 8;
+    double64 += rand() % 256;  // NOLINT
+  }
+  return Double(double64).value();
+}
+
+
+TEST(RandomDoubles) {
+  // For a more thorough testing increase the iteration count.
+  // We also check kGrisu3MaximalLength in here.
+  const int kIterationCount = 100000;
+  int succeeded = 0;
+  int total = 0;
+  char buffer[kBufferSize];
+  int length;
+  int sign;
+  int point;
+  bool needed_max_length = false;
+
+  for (int i = 0; i < kIterationCount; ++i) {
+    double v = random_double();
+    if (v != v) continue;  // NaN
+    if (v == 0.0) continue;
+    if (v < 0) v = -v;
+    total++;
+    int status = grisu3(v, buffer, &sign, &length, &point);
+    CHECK_GE(kGrisu3MaximalLength, length);
+    if (length == kGrisu3MaximalLength) needed_max_length = true;
+    if (!status) continue;
+    succeeded++;
+    CHECK(IsCorrect(v, buffer, 0, length, point));
+    CHECK(IsRounded(v, buffer, 0, length, point));
+    CHECK(IsShortest(v, buffer, 0, length, point));
+  }
+  CHECK_GT(succeeded*1.0/total, 0.99);
+  CHECK(needed_max_length);
+}

diff --git a/tools/generate-ten-powers.scm b/tools/generate-ten-powers.scm
new file mode 100644 (file)
index 0000000..8bf3d1a
--- /dev/null
+++ b/tools/generate-ten-powers.scm
@@ -0,0 +1,285 @@
+;; Copyright 2010 the V8 project authors. All rights reserved.
+;; Redistribution and use in source and binary forms, with or without
+;; modification, are permitted provided that the following conditions are
+;; met:
+;;
+;;     * Redistributions of source code must retain the above copyright
+;;       notice, this list of conditions and the following disclaimer.
+;;     * Redistributions in binary form must reproduce the above
+;;       copyright notice, this list of conditions and the following
+;;       disclaimer in the documentation and/or other materials provided
+;;       with the distribution.
+;;     * Neither the name of Google Inc. nor the names of its
+;;       contributors may be used to endorse or promote products derived
+;;       from this software without specific prior written permission.
+;;
+;; THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+;; "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+;; LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+;; A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+;; OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+;; SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+;; LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+;; DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+;; THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+;; (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+;; OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+;; This is a Scheme script for the Bigloo compiler. Bigloo must be compiled with
+;; support for bignums. The compilation of the script can be done as follows:
+;;   bigloo -static-bigloo -o generate-ten-powers generate-ten-powers.scm
+;;  
+;; Generate approximations of 10^k.
+
+(module gen-ten-powers
+   (static (class Cached-Fast
+             v::bignum
+             e::bint
+             exact?::bool))
+   (main my-main))
+
+
+;;----------------bignum shifts -----------------------------------------------
+(define (bit-lshbx::bignum x::bignum by::bint)
+   (if (<fx by 0)
+       #z0
+       (*bx x (exptbx #z2 (fixnum->bignum by)))))
+
+(define (bit-rshbx::bignum x::bignum by::bint)
+   (if (<fx by 0)
+       #z0
+       (/bx x (exptbx #z2 (fixnum->bignum by)))))
+
+;;----------------the actual power generation -------------------------------
+
+;; e should be an indication. it might be too small.
+(define (round-n-cut n e nb-bits)
+   (define max-container (- (bit-lshbx #z1 nb-bits) 1))
+   (define (round n)
+      (case *round*
+        ((down) n)
+        ((up)
+         (+bx n
+              ;; with the -1 it will only round up if the cut off part is
+              ;; non-zero
+              (-bx (bit-lshbx #z1
+                              (-fx (+fx e nb-bits) 1))
+                   #z1)))
+        ((round)
+         (+bx n
+              (bit-lshbx #z1
+                         (-fx (+fx e nb-bits) 2))))))
+   (let* ((shift (-fx (+fx e nb-bits) 1))
+         (cut (bit-rshbx (round n) shift))
+         (exact? (=bx n (bit-lshbx cut shift))))
+      (if (<=bx cut max-container)
+         (values cut e exact?)
+         (round-n-cut n (+fx e 1) nb-bits))))
+
+(define (rounded-/bx x y)
+   (case *round*
+      ((down)  (/bx x y))
+      ((up)    (+bx (/bx x y) #z1))
+      ((round) (let ((tmp (/bx (*bx #z2 x) y)))
+                 (if (zerobx? (remainderbx tmp #z2))
+                     (/bx tmp #z2)
+                     (+bx (/bx tmp #z2) #z1))))))
+
+(define (generate-powers from to mantissa-size)
+   (let* ((nb-bits mantissa-size)
+         (offset (- from))
+         (nb-elements (+ (- from) to 1))
+         (vec (make-vector nb-elements))
+         (max-container (- (bit-lshbx #z1 nb-bits) 1)))
+      ;; the negative ones. 10^-1, 10^-2, etc.
+      ;; We already know, that we can't be exact, so exact? will always be #f.
+      ;; Basically we will have a ten^i that we will *10 at each iteration. We
+      ;; want to create the matissa of 1/ten^i. However the mantissa must be
+      ;; normalized (start with a 1). -> we have to shift the number.
+      ;; We shift by multiplying with two^e. -> We encode two^e*(1/ten^i) ==
+      ;;  two^e/ten^i.
+      (let loop ((i 1)
+                (ten^i #z10)
+                (two^e #z1)
+                (e 0))
+        (unless (< (- i) from)
+           (if (>bx (/bx (*bx #z2 two^e) ten^i) max-container)
+               ;; another shift would make the number too big. We are
+               ;; hence normalized now.
+               (begin
+                  (vector-set! vec (-fx offset i)
+                               (instantiate::Cached-Fast
+                                  (v (rounded-/bx two^e ten^i))
+                                  (e (negfx e))
+                                  (exact? #f)))
+                  (loop (+fx i 1) (*bx ten^i #z10) two^e e))
+               (loop i ten^i (bit-lshbx two^e 1) (+fx e 1)))))
+      ;; the positive ones 10^0, 10^1, etc.
+      ;; start with 1.0. mantissa: 10...0 (1 followed by nb-bits-1 bits)
+      ;;      -> e = -(nb-bits-1)
+      ;; exact? is true when the container can still hold the complete 10^i
+      (let loop ((i 0)
+                (n (bit-lshbx #z1 (-fx nb-bits 1)))
+                (e (-fx 1 nb-bits)))
+        (when (<= i to)
+           (receive (cut e exact?)
+              (round-n-cut n e nb-bits)
+              (vector-set! vec (+fx i offset)
+                           (instantiate::Cached-Fast
+                              (v cut)
+                              (e e)
+                              (exact? exact?)))
+              (loop (+fx i 1) (*bx n #z10) e))))
+      vec))
+
+(define (print-c powers from to struct-type
+                cache-name max-distance-name offset-name macro64)
+   (define (display-power power k)
+      (with-access::Cached-Fast power (v e exact?)
+        (let ((tmp-p (open-output-string)))
+           ;; really hackish way of getting the digits
+           (display (format "~x" v) tmp-p)
+           (let ((str (close-output-port tmp-p)))
+              (printf "  {~a(0x~a, ~a), ~a, ~a},\n"
+                      macro64
+                      (substring str 0 8)
+                      (substring str 8 16)
+                      e
+                      k)))))
+   (define (print-powers-reduced n)
+      (print "static const " struct-type " " cache-name
+            "(" n ")"
+            "[] = {")
+      (let loop ((i 0)
+                (nb-elements 0)
+                (last-e 0)
+                (max-distance 0))
+        (cond
+           ((>= i (vector-length powers))
+            (print "  };")
+            (print "static const int " max-distance-name "(" n ") = "
+                max-distance ";")
+            (print "// nb elements (" n "): " nb-elements))
+           (else
+            (let* ((power (vector-ref powers i))
+                   (e (Cached-Fast-e power)))
+            (display-power power (+ i from))
+            (loop (+ i n)
+                  (+ nb-elements 1)
+                  e
+                  (cond
+                     ((=fx i 0) max-distance)
+                     ((> (- e last-e) max-distance) (- e last-e))
+                     (else max-distance))))))))
+   (print "// ------------ GENERATED FILE ----------------")
+   (print "// command used:")
+   (print "// "
+         (apply string-append (map (lambda (str)
+                                      (string-append " " str))
+                                   *main-args*))
+         "  // NOLINT")
+   (print)
+   (print
+    "// This file is intended to be included inside another .h or .cc files\n"
+    "// with the following defines set:\n"
+    "//  GRISU_CACHE_STRUCT: should expand to the name of a struct that will\n"
+    "//   hold the cached powers of ten. Each entry will hold a 64-bit\n"
+    "//   significand, a 16-bit signed binary exponent, and a 16-bit\n"
+    "//   signed decimal exponent. Each entry will be constructed as follows:\n"
+    "//      { significand, binary_exponent, decimal_exponent }.\n"
+    "//  GRISU_CACHE_NAME(i): generates the name for the different caches.\n"
+    "//   The parameter i will be a number in the range 1-20. A cache will\n"
+    "//   hold every i'th element of a full cache. GRISU_CACHE_NAME(1) will\n"
+    "//   thus hold all elements. The higher i the fewer elements it has.\n"
+    "//   Ideally the user should only reference one cache and let the\n"
+    "//   compiler remove the unused ones.\n"
+    "//  GRISU_CACHE_MAX_DISTANCE(i): generates the name for the maximum\n"
+    "//   binary exponent distance between all elements of a given cache.\n"
+    "//  GRISU_CACHE_OFFSET: is used as variable name for the decimal\n"
+    "//   exponent offset. It is equal to -cache[0].decimal_exponent.\n"
+    "//  GRISU_UINT64_C: used to construct 64-bit values in a platform\n"
+    "//   independent way. In order to encode 0x123456789ABCDEF0 the macro\n"
+    "//   will be invoked as follows: GRISU_UINT64_C(0x12345678,9ABCDEF0).\n")
+   (print)
+   (print-powers-reduced 1)
+   (print-powers-reduced 2)
+   (print-powers-reduced 3)
+   (print-powers-reduced 4)
+   (print-powers-reduced 5)
+   (print-powers-reduced 6)
+   (print-powers-reduced 7)
+   (print-powers-reduced 8)
+   (print-powers-reduced 9)
+   (print-powers-reduced 10)
+   (print-powers-reduced 11)
+   (print-powers-reduced 12)
+   (print-powers-reduced 13)
+   (print-powers-reduced 14)
+   (print-powers-reduced 15)
+   (print-powers-reduced 16)
+   (print-powers-reduced 17)
+   (print-powers-reduced 18)
+   (print-powers-reduced 19)
+   (print-powers-reduced 20)
+   (print "static const int GRISU_CACHE_OFFSET = " (- from) ";"))
+
+;;----------------main --------------------------------------------------------
+(define *main-args* #f)
+(define *mantissa-size* #f)
+(define *dest* #f)
+(define *round* #f)
+(define *from* #f)
+(define *to* #f)
+
+(define (my-main args)
+   (set! *main-args* args)
+   (args-parse (cdr args)
+      (section "Help")
+      (("?") (args-parse-usage #f))
+      ((("-h" "--help") (help "?, -h, --help" "This help message"))
+       (args-parse-usage #f))
+      (section "Misc")
+      (("-o" ?file (help "The output file"))
+       (set! *dest* file))
+      (("--mantissa-size" ?size (help "Container-size in bits"))
+       (set! *mantissa-size* (string->number size)))
+      (("--round" ?direction (help "Round bignums (down, round or up)"))
+       (set! *round* (string->symbol direction)))
+      (("--from" ?from (help "start at 10^from"))
+       (set! *from* (string->number from)))
+      (("--to" ?to (help "go up to 10^to"))
+       (set! *to* (string->number to)))
+      (else
+       (print "Illegal argument `" else "'. Usage:")
+       (args-parse-usage #f)))
+   (when (not *from*)
+      (error "generate-ten-powers"
+            "Missing from"
+            #f))
+   (when (not *to*)
+      (error "generate-ten-powers"
+            "Missing to"
+            #f))
+   (when (not *mantissa-size*)
+      (error "generate-ten-powers"
+            "Missing mantissa size"
+            #f))
+   (when (not (memv *round* '(up down round)))
+      (error "generate-ten-powers"
+            "Missing round-method"
+            *round*))
+
+   (let ((dividers (generate-powers *from* *to* *mantissa-size*))
+        (p (if (not *dest*)
+               (current-output-port)
+               (open-output-file *dest*))))
+      (unwind-protect
+        (with-output-to-port p
+           (lambda ()
+              (print-c dividers *from* *to*
+                       "GRISU_CACHE_STRUCT" "GRISU_CACHE_NAME"
+                       "GRISU_CACHE_MAX_DISTANCE" "GRISU_CACHE_OFFSET"
+                       "GRISU_UINT64_C"
+                       )))
+        (if *dest*
+            (close-output-port p)))))

diff --git a/tools/gyp/v8.gyp b/tools/gyp/v8.gyp
index 59ec566d5723d2956f507de05d24ddd280e60683..4270b14276a6b455c5f3f12e5a95888b7894706f 100644 (file)
--- a/tools/gyp/v8.gyp
+++ b/tools/gyp/v8.gyp
@@ -229,6 +229,7 @@
         '../../src/builtins.cc',
         '../../src/builtins.h',
         '../../src/bytecodes-irregexp.h',
+        '../../src/cached_powers.h',
         '../../src/char-predicates-inl.h',
         '../../src/char-predicates.h',
         '../../src/checks.cc',
@@ -264,6 +265,8 @@
         '../../src/disassembler.cc',
         '../../src/disassembler.h',
         '../../src/dtoa-config.c',
+        '../../src/diy_fp.h',
+        '../../src/double.h',
         '../../src/execution.cc',
         '../../src/execution.h',
         '../../src/factory.cc',
@@ -284,6 +287,8 @@
         '../../src/global-handles.cc',
         '../../src/global-handles.h',
         '../../src/globals.h',
+        '../../src/grisu3.h',
+        '../../src/grisu3.cc',
         '../../src/handles-inl.h',
         '../../src/handles.cc',
         '../../src/handles.h',
@@ -330,6 +335,7 @@
         '../../src/parser.cc',
         '../../src/parser.h',
         '../../src/platform.h',
+        '../../src/powers_ten.h',
         '../../src/prettyprinter.cc',
         '../../src/prettyprinter.h',
         '../../src/property.cc',