[libc] add printf decimal float conversion

[michaelrj]

Summary

This patch adds support for converting doubles to string in the %f/F
format specifier. It does not yet support long doubles outside of the
double range. This implementation is based on the work of Ulf Adams,
specifically the Ryu Printf algorithm.

See:
Ulf Adams. 2019. Ryū revisited: printf floating point conversion.
Proc. ACM Program. Lang. 3, OOPSLA, Article 169 (October 2019), 23 pages.
https://doi.org/10.1145/3360595

[sivachandra]

Just a bunch of nits for now. I will make an another pass once you fix them.

libc/src/stdio/printf_core/float_dec_converter.h

2

Decimal ?

39

While its good that we are citing the source of the algorithm, we should also try to explain the high level idea in prose (as in, not code) here.

44

You should use a const & argument here and elsewhere where functions take UInt<192> args as inputs.

46

Can you add comments explaining these constants and/or the algorithm here?

58

Specifics of which program?

66

There a mix of function naming convention in this file. Also, add a comment explaining what these functions are.

78

Use more modern casting style uint32_t(e). Elsewhere in this file as well.

83

Unsigned to signed conversion requires a comment.

91

uint64_t(1)

94

Feel free to add a constructor to UInt and take this out.

116

Why is this required?

118

Use member initializer list to initialize members.

158

Is this comment at the right place?

184

Looks like you are just making a copy of the PaddingWriter? In which case, const &?

194

Should this be private?

239

Can we not have write_first_block have a return value?

244

I think it guaranteed to not overflow block_buffer so may be just say it here in a comment?

365

Do you want it to be failure return always? AFAICT, it is being used below.

435

Add a comment explaining what this nonzero signifies because there is spread out code which conditions on this.

443

Use a symbolic constant for this, likely from FloatProperties or somewhere.

465

Will init be called multiple times in the outer for loop? If not, it feels like we can improve the flow here.

481

Is it OK to ignore the return value?

516

What is temporary?

569

Seems like write_last_block is not called from all paths? write_last_block does nothing now so it doesn't matter may be. But, the logical view feels incomplete now.

[michaelrj]

address comments, clean up code, and add implementations (currently unused) for calculating the values in the tables.

libc/src/stdio/printf_core/float_dec_converter.h

58

adjusted phrasing.

116

it throws an error if there is no PaddingWriter default constructor since FloatWriter has it as a member.

365

write_last_block_exp will be used for the %e conversion, but is currently unused. write_last_block_dec is the one being used below, and is implemented above.

465

It will not. I've added a comment to explain a bit, but this loop is trying to find the highest non-zero digit before the decimal point. If it finds that digit, then we know exactly how long the number as a whole will be, since we know how many digits are remaining before the decimal point and the number of digits after the decimal point is just the precision. Those are the values the FloatWriter is being initialized with.

516

oops, forgot to clean out some comments.

569

as discussed above, there are two write_last_block functions and this one is actually complete. As for if it needs to be called on all paths, not quite. write_last_block_dec handles flushing the buffer, converting the last block into a string, and rounding. In the cases where we know that all of the final digits are zero, we can skip those steps and just call write_zeroes, which also flushes the buffer, and no rounding can be necessary since the trailing digits are all zero.

[michaelrj]

add basic long double support (only for numbers with positive exponents and its very slow right now).

[michaelrj]

rebase

[sivachandra]

Few high level comments about organization but logic LGTM.

1. The ryu_constants.h should be moved to a .cpp file.
2. There are two aspects wrt float to string conversion - one is the printf specific code, for example padding and spaces. Other is the actual conversion algorithm. I think we should separate out the actual conversion algorithm into a separately utility of it own and use it to implement the printf converter. If I am reading this patch correctly, the two aspects are being mixed up or co-located. I happy to be convinced that it is not possible, but I want learn the reasons why if that is so.

libc/src/stdio/printf_core/float_dec_converter.h

2

Why should this live entirely in a header file?

[michaelrj]

split float conversion into a separate file

[sivachandra]

libc/src/__support/float_to_string.h

20

Two suggestions:

1. Move the pieces internal to the implementation into an __internal namespace.
2. Add a comment about how client code is to use this utility.

libc/src/stdio/printf_core/float_dec_converter.h

2

Is this answered somewhere?

33

Do these comment blocks belong here or next to the new utility?

[michaelrj]

clean up and add comments.
Add internal namespace to contain many of the utilities.

libc/src/stdio/printf_core/float_dec_converter.h

2

Right now it's mostly to enable the use of the converter_atlas to replace the implementations of these conversion functions, although there isn't a particular reason beyond that.

libc/src/__support/CMakeLists.txt

add_header_library(
   HDRS
     integer_to_string.h
   DEPENDS
     libc.src.__support.CPP.span
     libc.src.__support.CPP.string_view
     libc.src.__support.CPP.type_traits
 )
 
+
+add_header_library(
+  float_to_string
+  HDRS
+    float_to_string.h
+    ryu_constants.h
+  DEPENDS
+    libc.src.__support.CPP.type_traits
+    libc.src.__support.FPUtil.fp_bits
+)
+
 add_header_library(
   high_precision_decimal
   HDRS
     high_precision_decimal.h
   DEPENDS
     .str_to_integer
 )
 

libc/src/__support/float_to_string.h

+//===-- Utilities to convert floating point values to string ----*- C++ -*-===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef LLVM_LIBC_SRC_SUPPORT_FLOAT_TO_STRING_H
+#define LLVM_LIBC_SRC_SUPPORT_FLOAT_TO_STRING_H
+
+#include <stdint.h>
+
+#include "src/__support/CPP/type_traits.h"
+#include "src/__support/FPUtil/FPBits.h"
+#include "src/__support/UInt.h"
+#include "src/__support/ryu_constants.h"
+
+// This implementation is based on the Ryu Printf algorithm by Ulf Adams:
+// Ulf Adams. 2019. Ryū revisited: printf floating point conversion.
+// Proc. ACM Program. Lang. 3, OOPSLA, Article 169 (October 2019), 23 pages.
+// https://doi.org/10.1145/3360595
+
+// This version is modified to require significantly less memory (it doesn't use
+// a large buffer to store the result).
+
+// The general concept of this algorithm is as follows:
+// We want to calculate a 9 digit segment of a floating point number using this
+// formula: floor((mantissa * 2^exponent)/10^i) % 10^9.
+// To do so normally would involve large integers (~1000 bits for doubles), so
+// we use a shortcut. We can avoid calculating 2^exponent / 10^i by using a
+// lookup table. The resulting intermediate value needs to be about 192 bits to
+// store the result with enough precision. Since this is all being done with
+// integers for appropriate precision, we would run into a problem if
+// i > exponent since then 2^exponent / 10^i would be less than 1. To correct
+// for this, the actual calculation done is 2^(exponent + c) / 10^i, and then
+// when multiplying by the mantissa we reverse this by dividing by 2^c, like so:
+// floor((mantissa * table[exponent][i])/(2^c)) % 10^9.
+// This gives a 9 digit value, which is small enough to fit in a 32 bit integer,
+// and that integer is converted into a string as normal, and called a block. In
+// this implementation, the most recent block is buffered, so that if rounding
+// is necessary the block can be adjusted before being written to the output.
+// Any block that is all 9s adds one to the max block counter and doesn't clear
+// the buffer because they can cause the block above them to be rounded up.
+
+namespace __llvm_libc {
+
+using BlockInt = uint32_t;
+constexpr size_t BLOCK_SIZE = 9;
+
+using MantissaInt = fputil::FPBits<long double>::UIntType;
+
+constexpr size_t POW10_ADDITIONAL_BITS_CALC = 128;
+constexpr size_t POW10_ADDITIONAL_BITS_TABLE = 120;
+
+constexpr size_t MID_INT_SIZE = 192;
+
+namespace internal {
+
+// Returns floor(log_10(2^e)); requires 0 <= e <= 1650.
+constexpr inline uint32_t log10_pow2(const uint32_t e) {
+  // The first value this approximation fails for is 2^1651 which is just
+  // greater than 10^297. assert(e >= 0); assert(e <= 1650);
+  return (e * 78913) >> 18;
+}
+
+// Returns 1 + floor(log_10(2^e). This could technically be off by 1 if any
+// power of 2 was also a power of 10, but since that doesn't exist this is
+// always accurate. This is used to calculate the maximum number of base-10
+// digits a given e-bit number could have.
+constexpr inline uint32_t ceil_log10_pow2(const uint32_t e) {
+  return log10_pow2(e) + 1;
+}
+
+// Returns the maximum number of 9 digit blocks a number described by the given
+// index (which is ceil(exponent/16)) and mantissa width could need.
+constexpr inline uint32_t length_for_num(const uint32_t idx,
+                                         const uint32_t mantissa_width) {
+  //+8 to round up when dividing by 9
+  return (ceil_log10_pow2(16 * idx) + ceil_log10_pow2(mantissa_width) +
+          (BLOCK_SIZE - 1)) /
+         BLOCK_SIZE;
+  // return (ceil_log10_pow2(16 * idx + mantissa_width) + 8) / 9;
+}
+
+// The formula for the table when i is positive (or zero) is as follows:
+// floor(10^(-9i) * 2^(e + c_1) + 1) % (10^9 * 2^c_1)
+// Rewritten slightly we get:
+// floor(5^(-9i) * 2^(e + c_1 - 9i) + 1) % (10^9 * 2^c_1)
+
+template <size_t INT_SIZE>
+constexpr inline cpp::UInt<MID_INT_SIZE>
+get_table_positive(int exponent, size_t i, const size_t constant) {
+  // INT_SIZE is the size of int that is used for the internal calculations of
+  // this function. It should be large enough to hold 2^(exponent+constant), so
+  // ~1000 for double and ~16000 for long double. Be warned that the time
+  // complexity of exponentiation is O(n^2 * log_2(m)) where n is the number of
+  // bits in the number being exponentiated and m is the exponent.
+  int shift_amount = exponent + constant - (9 * i);
+  if (shift_amount < 0) {
+    return 1;
+  }
+  cpp::UInt<INT_SIZE> num(0);
+  // MOD_SIZE is one of the limiting factors for how big the constant argument
+  // can get, since it needs to be small enough to fit in the result UInt,
+  // otherwise we'll get truncation on return.
+  const cpp::UInt<INT_SIZE> MOD_SIZE =
+      (cpp::UInt<INT_SIZE>(1) << constant) * 1000000000;
+  constexpr uint64_t FIVE_EXP_NINE = 1953125;
+
+  num = cpp::UInt<INT_SIZE>(1) << (shift_amount);
+  if (i > 0) {
+    cpp::UInt<INT_SIZE> fives(FIVE_EXP_NINE);
+    fives.pow_n(i);
+    num = num / fives;
+  }
+
+  num = num + 1;
+  if (num > MOD_SIZE) {
+    num = num % MOD_SIZE;
+  }
+  return num;
+}
+
+// The formula for the table when i is negative (or zero) is as follows:
+// floor(10^(-9i) * 2^(c_0 - e)) % (10^9 * 2^c_0)
+// Since we know i is always negative, we just take it as unsigned and treat it
+// as negative. We do the same with exponent, while they're both always negative
+// in theory, in practice they're converted to positive for simpler
+// calculations.
+// The formula being used looks more like this:
+// floor(10^(9*(-i)) * 2^(c_0 + (-e))) % (10^9 * 2^c_0)
+constexpr inline cpp::UInt<MID_INT_SIZE>
+get_table_negative(int exponent, size_t i, const size_t constant) {
+  constexpr size_t INT_SIZE = 1024;
+  int shift_amount = constant - exponent;
+  cpp::UInt<INT_SIZE> num(1);
+  // const cpp::UInt<INT_SIZE> MOD_SIZE =
+  //     (cpp::UInt<INT_SIZE>(1) << constant) * 1000000000;
+
+  constexpr uint64_t TEN_EXP_NINE = 1000000000;
+  constexpr uint64_t FIVE_EXP_NINE = 1953125;
+  size_t ten_blocks = i;
+  size_t five_blocks = 0;
+  if (shift_amount < 0) {
+    int block_shifts = (-shift_amount) / 9;
+    if (block_shifts < static_cast<int>(ten_blocks)) {
+      ten_blocks = ten_blocks - block_shifts;
+      five_blocks = block_shifts;
+      shift_amount = shift_amount + (block_shifts * 9);
+    } else {
+      ten_blocks = 0;
+      five_blocks = i;
+      shift_amount = shift_amount + (i * 9);
+    }
+  }
+
+  if (five_blocks > 0) {
+    cpp::UInt<INT_SIZE> fives(FIVE_EXP_NINE);
+    fives.pow_n(five_blocks);
+    num *= fives;
+  }
+  if (ten_blocks > 0) {
+    cpp::UInt<INT_SIZE> tens(TEN_EXP_NINE);
+    tens.pow_n(ten_blocks);
+    num *= tens;
+  }
+
+  if (shift_amount > 0) {
+    num = num << shift_amount;
+  } else {
+    num = num >> (-shift_amount);
+  }
+  // if (num > MOD_SIZE) {
+  //   num = num % MOD_SIZE;
+  // }
+  return num;
+}
+
+static inline uint32_t fast_uint_mod_1e9(const cpp::UInt<MID_INT_SIZE> &val) {
+  // The formula for mult_const is:
+  //  1 + floor((2^(bits in target integer size + log_2(divider))) / divider)
+  // Where divider is 10^9 and target integer size is 128.
+  const cpp::UInt<MID_INT_SIZE> mult_const(
+      {0x31680A88F8953031u, 0x89705F4136B4A597u, 0});
+  const auto middle = (mult_const * val);
+  const uint64_t result = static_cast<uint64_t>(middle[2]);
+  const uint32_t shifted = result >> 29;
+  return static_cast<uint32_t>(val) - (1000000000 * shifted);
+}
+
+static inline uint32_t mul_shift_mod_1e9(const MantissaInt mantissa,
+                                         const cpp::UInt<MID_INT_SIZE> &large,
+                                         const int32_t shift_amount) {
+  constexpr size_t MANT_INT_SIZE = sizeof(MantissaInt) * 8;
+  cpp::UInt<MID_INT_SIZE + MANT_INT_SIZE> val(large);
+  // TODO: Find a better way to force __uint128_t to be UInt<128>
+  cpp::UInt<MANT_INT_SIZE> wide_mant(0);
+  wide_mant[0] = mantissa & (uint64_t(-1));
+  wide_mant[1] = mantissa >> 64;
+  val = (val * wide_mant) >> shift_amount;
+  return fast_uint_mod_1e9(val);
+}
+
+} // namespace internal
+
+// Convert floating point values to their string representation.
+// Because the result may not fit in a reasonably sized array, the caller must
+// request blocks of digits and convert them from integers to strings themself.
+// Blocks contain the most digits that can be stored in an BlockInt. This is 9
+// digits for a 32 bit int and 18 digits for a 64 bit int.
+// The intended use pattern is to create a FloatToString object of the
+// appropriate type, then call get_positive_blocks to get an approximate number
+// of blocks there are before the decimal point. Now the client code can start
+// calling get_positive_block in a loop from the number of positive blocks to
+// zero. This will give all digits before the decimal point. Then the user can
+// start calling get_negative_block in a loop from 0 until the number of digits
+// they need is reached. As an optimization, the client can use
+// zero_blocks_after_point to find the number of blocks that are guaranteed to
+// be zero after the decimal point and before the non-zero digits. Additionally,
+// is_lowest_block will return if the current block is the lowest non-zero
+// block.
+template <typename T, cpp::enable_if_t<cpp::is_floating_point_v<T>, int> = 0>
+class FloatToString {
+  fputil::FPBits<T> float_bits;
+  bool is_negative;
+  int exponent;
+  MantissaInt mantissa;
+
+  static constexpr int MANT_WIDTH = fputil::MantissaWidth<T>::VALUE;
+  static constexpr int EXP_BIAS = fputil::FPBits<T>::EXPONENT_BIAS;
+
+  // constexpr void init_convert();
+
+public:
+  constexpr FloatToString<T>(T init_float) : float_bits(init_float) {
+    is_negative = float_bits.get_sign();
+    exponent = float_bits.get_exponent();
+    mantissa = float_bits.get_explicit_mantissa();
+
+    // Handle the exponent for numbers with a 0 exponent.
+    if (exponent == -EXP_BIAS) {
+      if (mantissa > 0) { // Subnormals
+        ++exponent;
+      } else { // Zeroes
+        exponent = 0;
+      }
+    }
+
+    // Adjust for the width of the mantissa.
+    exponent -= MANT_WIDTH;
+
+    // init_convert();
+  }
+
+  constexpr bool is_nan() { return float_bits.is_nan(); }
+  constexpr bool is_inf() { return float_bits.is_inf(); }
+  constexpr bool is_inf_or_nan() { return float_bits.is_inf_or_nan(); }
+
+  // get_block returns an integer that represents the digits in the requested
+  // block.
+  constexpr BlockInt get_positive_block(int block_index) {
+    if (exponent >= -MANT_WIDTH) {
+      // idx is ceil(exponent/16) or 0 if exponent is negative. This is used to
+      // find the coarse section of the POW10_SPLIT table that will be used to
+      // calculate the 9 digit window, as well as some other related values.
+      const uint32_t idx =
+          exponent < 0 ? 0 : static_cast<uint32_t>(exponent + 15) / 16;
+
+      uint32_t temp_shift_amount =
+          POW10_ADDITIONAL_BITS_TABLE + (16 * idx) - exponent;
+      const uint32_t shift_amount = temp_shift_amount;
+      // shift_amount = -(c0 - exponent) = c_0 + 16 * ceil(exponent/16) -
+      // exponent
+
+      int32_t i = block_index;
+      cpp::UInt<MID_INT_SIZE> val;
+      val = POW10_SPLIT[POW10_OFFSET[idx] + i];
+
+      const uint32_t digits =
+          internal::mul_shift_mod_1e9(mantissa, val, (int32_t)(shift_amount));
+      return digits;
+    } else {
+      return 0;
+    }
+  }
+  constexpr BlockInt get_negative_block(int block_index) {
+    if (exponent < 0) {
+      const int32_t idx = -exponent / 16;
+      uint32_t i = block_index;
+      // if the requested block is zero
+      if (i < MIN_BLOCK_2[idx]) {
+        return 0;
+      }
+      const int32_t shift_amount =
+          POW10_ADDITIONAL_BITS_TABLE + (-exponent - 16 * idx);
+      const uint32_t p = POW10_OFFSET_2[idx] + i - MIN_BLOCK_2[idx];
+      // If every digit after the requested block is zero.
+      if (p >= POW10_OFFSET_2[idx + 1]) {
+        return 0;
+      }
+
+      cpp::UInt<MID_INT_SIZE> table_val = POW10_SPLIT_2[p];
+      // cpp::UInt<MID_INT_SIZE> calculated_val =
+      //     get_table_negative(idx * 16, i + 1, POW10_ADDITIONAL_BITS_CALC);
+      uint32_t digits =
+          internal::mul_shift_mod_1e9(mantissa, table_val, shift_amount);
+      return digits;
+    } else {
+      return 0;
+    }
+  }
+  constexpr size_t get_positive_blocks() {
+    if (exponent >= -MANT_WIDTH) {
+      const uint32_t idx =
+          exponent < 0 ? 0 : static_cast<uint32_t>(exponent + 15) / 16;
+      const uint32_t len = internal::length_for_num(idx, MANT_WIDTH);
+      return len;
+    } else {
+      return 0;
+    }
+  }
+
+  // This takes the index of a block after the decimal point (a negative block)
+  // and return if it's sure that all of the digits after it are zero.
+  constexpr bool is_lowest_block(size_t block_index) {
+    const int32_t idx = -exponent / 16;
+    const uint32_t p = POW10_OFFSET_2[idx] + block_index - MIN_BLOCK_2[idx];
+    // If the remaining digits are all 0, then this is the lowest block.
+    return p >= POW10_OFFSET_2[idx + 1];
+  }
+
+  constexpr size_t zero_blocks_after_point() {
+    return MIN_BLOCK_2[-exponent / 16];
+  }
+};
+
+// template <> constexpr void FloatToString<float>::init_convert() { ; }
+
+// template <> constexpr void FloatToString<double>::init_convert() { ; }
+
+// template <> constexpr void FloatToString<long double>::init_convert() {
+//   // TODO: More here.
+//   ;
+// }
+
+template <>
+constexpr size_t FloatToString<long double>::zero_blocks_after_point() {
+  return 0;
+}
+
+template <>
+constexpr bool FloatToString<long double>::is_lowest_block(size_t block_index) {
+  return block_index < 0;
+}
+
+template <>
+constexpr BlockInt
+FloatToString<long double>::get_positive_block(int block_index) {
+  if (exponent >= -MANT_WIDTH) {
+    const uint32_t pos_exp = (exponent < 0 ? 0 : exponent);
+
+    uint32_t temp_shift_amount =
+        POW10_ADDITIONAL_BITS_CALC + pos_exp - exponent;
+    const uint32_t shift_amount = temp_shift_amount;
+    // shift_amount = -(c0 - exponent) = c_0 + 16 * ceil(exponent/16) -
+    // exponent
+
+    int32_t i = block_index;
+    cpp::UInt<MID_INT_SIZE> val;
+    if (exponent + POW10_ADDITIONAL_BITS_CALC < 1024) {
+      val = internal::get_table_positive<1024>(pos_exp, i,
+                                               POW10_ADDITIONAL_BITS_CALC);
+    } else if (exponent + POW10_ADDITIONAL_BITS_CALC < 4096) {
+      val = internal::get_table_positive<4096>(pos_exp, i,
+                                               POW10_ADDITIONAL_BITS_CALC);
+    } else if (exponent + POW10_ADDITIONAL_BITS_CALC < 8192) {
+      val = internal::get_table_positive<8192>(pos_exp, i,
+                                               POW10_ADDITIONAL_BITS_CALC);
+    } else {
+      val = internal::get_table_positive<16384>(pos_exp, i,
+                                                POW10_ADDITIONAL_BITS_CALC);
+    }
+
+    const BlockInt digits =
+        internal::mul_shift_mod_1e9(mantissa, val, (int32_t)(shift_amount));
+    return digits;
+  } else {
+    return 0;
+  }
+}
+
+template <>
+constexpr BlockInt
+FloatToString<long double>::get_negative_block(int block_index) {
+  if (exponent < 0) {
+    const int32_t idx = -exponent / 16;
+    uint32_t i = -1 - block_index;
+    // if the requested block is zero
+    if (i <= MIN_BLOCK_2[idx]) {
+      return 0;
+    }
+    const int32_t shift_amount =
+        POW10_ADDITIONAL_BITS_CALC + (-exponent - 16 * idx);
+    const uint32_t p = POW10_OFFSET_2[idx] + i - MIN_BLOCK_2[idx];
+    // If every digit after the requested block is zero.
+    if (p >= POW10_OFFSET_2[idx + 1]) {
+      return 0;
+    }
+
+    // cpp::UInt<MID_INT_SIZE> table_val = POW10_SPLIT_2[p];
+    cpp::UInt<MID_INT_SIZE> calculated_val = internal::get_table_negative(
+        idx * 16, i + 1, POW10_ADDITIONAL_BITS_CALC);
+    BlockInt digits =
+        internal::mul_shift_mod_1e9(mantissa, calculated_val, shift_amount);
+    return digits;
+  } else {
+    return 0;
+  }
+}
+
+} // namespace __llvm_libc
+
+#endif // LLVM_LIBC_SRC_SUPPORT_FLOAT_TO_STRING_H

libc/src/__support/ryu_constants.h

+//===-- Ryu Constants for float conversion ----------------------*- C++ -*-===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef LLVM_LIBC_SRC_SUPPORT_RYU_CONSTANTS_H
+#define LLVM_LIBC_SRC_SUPPORT_RYU_CONSTANTS_H
+
+#include <stddef.h>
+#include <stdint.h>
+
+static const uint16_t POW10_OFFSET[64] = {
+    0,   2,   5,   8,   12,  16,  21,   26,   32,   39,   46,   54,  62,
+    71,  80,  90,  100, 111, 122, 134,  146,  159,  173,  187,  202, 217,
+    233, 249, 266, 283, 301, 319, 338,  357,  377,  397,  418,  440, 462,
+    485, 508, 532, 556, 581, 606, 632,  658,  685,  712,  740,  769, 798,
+    828, 858, 889, 920, 952, 984, 1017, 1050, 1084, 1118, 1153, 1188};
+
+static const uint64_t POW10_SPLIT[1224][3] = {
+    {1u, 72057594037927936u, 0u},
+    {699646928636035157u, 72057594u, 0u},
+    {1u, 0u, 256u},
+    {11902091922964236229u, 4722366482869u, 0u},
+    {6760415703743915872u, 4722u, 0u},
+    {1u, 0u, 16777216u},
+    {13369850649504950658u, 309485009821345068u, 0u},
+    {15151142278969419334u, 309485009u, 0u},
+    {1u, 0u, 75511627776u},
+    {4635408826454083567u, 9437866644873197963u, 1099u},
+    {12367138975830625353u, 20282409603651u, 0u},
+    {7555853734021184432u, 20282u, 0u},
+    {1u, 0u, 250037927936u},
+    {5171444645924616995u, 699646928636035156u, 72057594u},
+    {16672297533003297786u, 1329227995784915872u, 0u},
+    {14479142226848862515u, 1329227995u, 0u},
+    {1u, 0u, 181645213696u},
+    {12214193123817091081u, 11902091922964236228u, 114366482869u},
+    {16592893013671929435u, 6760415703743915871u, 4722u},
+    {4549827147718617003u, 87112285931760u, 0u},
+    {5274510003815168971u, 87112u, 0u},
+    {1u, 0u, 44724781056u},
+    {9794971998307800535u, 13369850649504950657u, 209821345068u},
+    {14720142899209240169u, 15151142278969419333u, 309485009u},
+    {4300745446091561535u, 5708990770823839524u, 0u},
+    {15197156861335443364u, 5708990770u, 0u},
+    {1u, 0u, 139251286016u},
+    {13484604155038683037u, 4635408826454083566u, 67670423947u},
+    {8356963862052375699u, 12367138975830625352u, 58409603651u},
+    {5850852848337610021u, 7555853734021184431u, 20282u},
+    {2712780827214982050u, 374144419156711u, 0u},
+    {7732076577307618052u, 374144u, 0u},
+    {1u, 0u, 84280344576u},
+    {17296309485351745867u, 5171444645924616994u, 160903807060u},
+    {16598859101615853088u, 16672297533003297785u, 219784915872u},
+    {7469952526870444257u, 14479142226848862514u, 1329227995u},
+    {13531654022114669524u, 6073184580144670117u, 1u},
+    {15757609704383306943u, 24519928653u, 0u},
+    {9590990814237149590u, 24u, 0u},
+    {1u, 0u, 196662132736u},
+    {15408590707489433890u, 12214193123817091080u, 95899502532u},
+    {18332056844289122710u, 16592893013671929434u, 240246646623u},
+    {11114572877353986193u, 4549827147718617002u, 72285931760u},
+    {1703393793997526525u, 5274510003815168970u, 87112u},
+    {5082852056285196265u, 1606938044258990u, 0u},
+    {816434266573722365u, 1606938u, 0u},
+    {1u, 0u, 129530986496u},
+    {5736523019264798742u, 9794971998307800534u, 69797980545u},
+    {10129314776268243339u, 14720142899209240168u, 36233143877u},
+    {16511595775483995364u, 4300745446091561534u, 50823839524u},
+    {12367293405401453325u, 15197156861335443363u, 5708990770u},
+    {16934621733248854291u, 13078571300009428617u, 5u},
+    {10278280417769171336u, 105312291668u, 0u},
+    {5760764486226151240u, 105u, 0u},
+    {1u, 0u, 238731001856u},
+    {4128368337188369761u, 13484604155038683036u, 72453031918u},
+    {10240941003671005056u, 8356963862052375698u, 175317175368u},
+    {17933378316822368251u, 5850852848337610020u, 231147060143u},
+    {8346249813075698616u, 2712780827214982049u, 128419156711u},
+    {15906203609160902695u, 7732076577307618051u, 374144u},
+    {14525607416135386328u, 6901746346790563u, 0u},
+    {6397156777364256320u, 6901746u, 0u},
+    {1u, 0u, 34937634816u},
+    {16798760952716600048u, 17296309485351745866u, 249899825954u},
+    {2419982808370854967u, 16598859101615853087u, 50404946937u},
+    {2922947087773078956u, 7469952526870444256u, 165733552434u},
+    {15419220167069510190u, 13531654022114669523u, 77854221733u},
+    {3452124642157173416u, 15757609704383306942u, 24519928653u},
+    {5979700067267186899u, 9590990814237149589u, 24u},
+    {4913998146922579597u, 452312848583u, 0u},
+    {5771037749337678924u, 452u, 0u},
+    {1u, 0u, 8835301376u},
+    {3464734175350698519u, 15408590707489433889u, 90993782792u},
+    {9334527711335850125u, 18332056844289122709u, 170602522202u},
+    {7269882896518450106u, 11114572877353986192u, 202092341162u},
+    {1372511258182263196u, 1703393793997526524u, 174275541962u},
+    {7571228438575951046u, 5082852056285196264u, 26044258990u},
+    {2992506536646070406u, 816434266573722364u, 1606938u},
+    {524517896824344606u, 29642774844752946u, 0u},
+    {15582941400898702773u, 29642774u, 0u},
+    {1u, 0u, 214310977536u},
+    {3846112492507251066u, 5736523019264798741u, 104549111254u},
+    {16681117750123089487u, 10129314776268243338u, 62895095400u},
+    {14986314536556547267u, 16511595775483995363u, 163670432318u},
+    {2573712825027107389u, 12367293405401453324u, 137918027683u},
+    {7504855874008324928u, 16934621733248854290u, 84557186697u},
+    {9572138030626879787u, 10278280417769171335u, 105312291668u},
+    {8520676959353394843u, 5760764486226151239u, 105u},
+    {13448984662897903496u, 1942668892225u, 0u},
+    {12338883700918130648u, 1942u, 0u},
+    {1u, 0u, 156223799296u},
+    {2517285787892561600u, 4128368337188369760u, 146555162524u},
+    {4338831817635138103u, 10240941003671005055u, 36972170386u},
+    {1561495325934523196u, 17933378316822368250u, 161452451108u},
+    {12262635050079398786u, 8346249813075698615u, 3862277025u},
+    {11144065765517284188u, 15906203609160902694u, 163787434755u},
+    {1212260522471875711u, 14525607416135386327u, 242346790563u},
+    {9695352922247418869u, 6397156777364256319u, 6901746u},
+    {7227025834627242948u, 127314748520905380u, 0u},
+    {9609008238705447829u, 127314748u, 0u},
+    {1u, 0u, 74910662656u},
+    {3609144142396852269u, 16798760952716600047u, 31131187530u},
+    {11568848377382068865u, 2419982808370854966u, 224158453279u},
+    {10068303578029323957u, 2922947087773078955u, 211835877600u},
+    {11645070846862630231u, 15419220167069510189u, 190187140051u},
+    {12449386705878485055u, 3452124642157173415u, 149324160190u},
+    {15025619323517318418u, 5979700067267186898u, 199266388373u},
+    {14996237555047131272u, 4913998146922579596u, 196312848583u},
+    {10211005638256058413u, 5771037749337678923u, 452u},
+    {1014743503555840530u, 8343699359066u, 0u},
+    {12900897707145290678u, 8343u, 0u},
+    {1u, 0u, 33187823616u},
+    {4718003016239473662u, 3464734175350698518u, 149506025761u},
+    {14865830648693666725u, 9334527711335850124u, 144394101141u},
+    {14754517212823091778u, 7269882896518450105u, 252074403984u},
+    {11113946551474911901u, 1372511258182263195u, 232410437116u},
+    {1963520352638130630u, 7571228438575951045u, 252162224104u},
+    {13342587341404964200u, 2992506536646070405u, 50028434172u},
+    {6240392545013573291u, 524517896824344605u, 22844752946u},
+    {14377490861349714758u, 15582941400898702772u, 29642774u},
+    {1717863312631397839u, 546812681195752981u, 0u},
+    {3611005143890591770u, 546812681u, 0u},
+    {1u, 0u, 21208498176u},
+    {13168252824351245504u, 3846112492507251065u, 138904285205u},
+    {735883891883379688u, 16681117750123089486u, 227812409738u},
+    {10609203866866106404u, 14986314536556547266u, 12139521251u},
+    {12358191111890306470u, 2573712825027107388u, 18406839052u},
+    {15229916368406413528u, 7504855874008324927u, 135518906642u},
+    {7241424335568075942u, 9572138030626879786u, 71461906823u},
+    {6049715868779871913u, 8520676959353394842u, 65729070919u},
+    {2000548404719336762u, 13448984662897903495u, 150668892225u},
+    {1410974761895205301u, 12338883700918130647u, 1942u},
+    {16000132467694084868u, 35835915874844u, 0u},
+    {16894908866816792556u, 35835u, 0u},
+    {1u, 0u, 96136462336u},
+    {589096329272056762u, 2517285787892561599u, 127235208544u},
+    {7097729792403256904u, 4338831817635138102u, 250084648831u},
+    {8553736750439287020u, 1561495325934523195u, 183664758778u},
+    {2114152625261065696u, 12262635050079398785u, 38604121015u},
+    {9817523680007641224u, 11144065765517284187u, 215065716774u},
+    {13047215537500048015u, 1212260522471875710u, 63525586135u},
+    {16755544192002345880u, 9695352922247418868u, 164391777855u},
+    {6930119832670648356u, 7227025834627242947u, 60520905380u},
+    {14560698131901886167u, 9609008238705447828u, 127314748u},
+    {16408020927503338035u, 2348542582773833227u, 0u},
+    {14274703510609809116u, 2348542582u, 0u},
+    {1u, 0u, 239195652096u},
+    {16428432973129962470u, 3609144142396852268u, 54627148527u},
+    {3721112279790863774u, 11568848377382068864u, 171545803830u},
+    {18032764903259620753u, 10068303578029323956u, 45631280555u},
+    {18058455550468776079u, 11645070846862630230u, 167674882605u},
+    {15692090139033993190u, 12449386705878485054u, 210814540455u},
+    {389416944300619393u, 15025619323517318417u, 140812947666u},
+    {12009691357260487293u, 14996237555047131271u, 75553539724u},
+    {13494259174449809900u, 10211005638256058412u, 90055009355u},
+    {18288583400616279877u, 1014743503555840529u, 151699359066u},
+    {7216107869057472u, 12900897707145290677u, 8343u},
+    {17237061291959073878u, 153914086704665u, 0u},
+    {1599418782488783273u, 153914u, 0u},
+    {1u, 0u, 22255763456u},
+    {9565464987240335777u, 4718003016239473661u, 140805878294u},
+    {857713933775880687u, 14865830648693666724u, 185799843980u},
+    {4621617820081363356u, 14754517212823091777u, 155602488249u},
+    {9630162611715632528u, 11113946551474911900u, 197106442651u},
+    {9283986497984645815u, 1963520352638130629u, 133723303109u},
+    {8981807745082630996u, 13342587341404964199u, 29338292357u},
+    {18350140531565934622u, 6240392545013573290u, 180779405341u},
+    {4411619033127524143u, 14377490861349714757u, 21093125556u},
+    {1852297584111266889u, 1717863312631397838u, 9195752981u},
+    {11746243463811666096u, 3611005143890591769u, 546812681u},
+    {6335244004343789147u, 10086913586276986678u, 0u},
+    {5109502367228239844u, 10086913586u, 0u},
+    {1603272682579847821u, 10u, 0u},
+    {1u, 0u, 121713852416u},
+    {6609546910952910052u, 13168252824351245503u, 78039892345u},
+    {3911171343112928288u, 735883891883379687u, 194575126094u},
+    {5254510615100863555u, 10609203866866106403u, 60669938882u},
+    {3881927570803887650u, 12358191111890306469u, 63825615420u},
+    {6379348759607163190u, 15229916368406413527u, 42392558399u},
+    {14595733737222406466u, 7241424335568075941u, 154327955754u},
+    {14670223432002373542u, 6049715868779871912u, 135108449946u},
+    {4045087795619708513u, 2000548404719336761u, 215076489095u},
+    {12598467307137142718u, 1410974761895205300u, 28867368919u},
+    {734704388050777108u, 16000132467694084867u, 251915874844u},
+    {5682201693687285822u, 16894908866816792555u, 35835u},
+    {11048712694145438788u, 661055968790248u, 0u},
+    {17871025777010319485u, 661055u, 0u},
+    {1u, 0u, 191031934976u},
+    {15268761435931663695u, 589096329272056761u, 54384768703u},
+    {5016238054648555438u, 7097729792403256903u, 59463698998u},
+    {14236047313993899750u, 8553736750439287019u, 129114608443u},
+    {6957759675154690848u, 2114152625261065695u, 91532209025u},
+    {18439367135478514473u, 9817523680007641223u, 126707290971u},
+    {8539004472540641041u, 13047215537500048014u, 244908319870u},
+    {1908462039431738399u, 16755544192002345879u, 195375682548u},
+    {714690453250792146u, 6930119832670648355u, 148789337027u},
+    {13782189447673929633u, 14560698131901886166u, 11889480596u},
+    {3584742913798803164u, 16408020927503338034u, 118773833227u},
+    {4347581515245125291u, 14274703510609809115u, 2348542582u},
+    {16836742268156371392u, 6429475823218628948u, 2u},
+    {11764082328865615308u, 43322963970u, 0u},
+    {5957633711383291746u, 43u, 0u},
+    {1u, 0u, 44890587136u},
+    {9917186842884466953u, 16428432973129962469u, 128201721900u},
+    {4751011869809829335u, 3721112279790863773u, 180977558144u},
+    {11068497969931435029u, 18032764903259620752u, 86978950836u},
+    {17118056985122509954u, 18058455550468776078u, 62850669910u},
+    {14607066080907684459u, 15692090139033993189u, 17021110334u},
+    {11768892370493391107u, 389416944300619392u, 135651046673u},
+    {4043396447647747170u, 12009691357260487292u, 44731525255u},
+    {1670341095362518057u, 13494259174449809899u, 17991426092u},
+    {3190817644167043165u, 18288583400616279876u, 181000391185u},
+    {10425820027224322486u, 7216107869057471u, 25934422965u},
+    {13139964660506311565u, 17237061291959073877u, 58086704665u},
+    {2297772885416059937u, 1599418782488783272u, 153914u},
+    {7677687919964523763u, 2839213766779714u, 0u},
+    {14144589152747892828u, 2839213u, 0u},
+    {1u, 0u, 253518544896u},
+    {17069730341503660290u, 9565464987240335776u, 164046496765u},
+    {18167423787163077107u, 857713933775880686u, 65250538404u},
+    {3765746945827805904u, 4621617820081363355u, 156522052161u},
+    {10241734342430761691u, 9630162611715632527u, 197503285916u},
+    {13345717282537140784u, 9283986497984645814u, 103486904773u},
+    {9313926784816939953u, 8981807745082630995u, 170994763111u},
+    {550974205049535019u, 18350140531565934621u, 69239154346u},
+    {4494692285504086222u, 4411619033127524142u, 206100413253u},
+    {1134308559863725587u, 1852297584111266888u, 25636765134u},
+    {17587558045116130233u, 11746243463811666095u, 54343434265u},
+    {9817142032346161594u, 6335244004343789146u, 50276986678u},
+    {6071944935834172568u, 5109502367228239843u, 10086913586u},
+    {11564168293299416955u, 1603272682579847820u, 10u},
+    {12458266507226064437u, 186070713419u, 0u},
+    {1304432355328256915u, 186u, 0u},
+    {1u, 0u, 191358304256u},
+    {15946798815542087355u, 6609546910952910051u, 231212025023u},
+    {12082566083831286138u, 3911171343112928287u, 35284847591u},
+    {11449623684706196411u, 5254510615100863554u, 165210439715u},
+    {17518743620362604446u, 3881927570803887649u, 215345825189u},
+    {9451061563087633805u, 6379348759607163189u, 165791236311u},
+    {13191114787623314926u, 14595733737222406465u, 168795274405u},
+    {8367349876734474799u, 14670223432002373541u, 57219284648u},
+    {6544253801674393507u, 4045087795619708512u, 180682964281u},
+    {16113906253336597498u, 12598467307137142717u, 3039828404u},
+    {10294087136797312392u, 734704388050777107u, 235308032771u},
+    {9127173070014462803u, 5682201693687285821u, 232598951915u},
+    {16266900839595484952u, 11048712694145438787u, 63968790248u},
+    {3299745387370952632u, 17871025777010319484u, 661055u},
+    {12061115182604399189u, 12194330274671844u, 0u},
+    {5066801222582989646u, 12194330u, 0u},
+    {1u, 0u, 185827721216u},
+    {7568423425299591513u, 15268761435931663694u, 71271930809u},
+    {16561505984665207377u, 5016238054648555437u, 235771737671u},
+    {4329114621856906245u, 14236047313993899749u, 223377180907u},
+    {1477500474861899139u, 6957759675154690847u, 135999600095u},
+    {16891579639263969684u, 18439367135478514472u, 142462900359u},
+    {4684451357140027420u, 8539004472540641040u, 151103457934u},
+    {14727186580409080709u, 1908462039431738398u, 35038743447u},
+    {15864176859687308834u, 714690453250792145u, 214747133987u},
+    {1755486942842684438u, 13782189447673929632u, 50194329302u},
+    {17417077516652710041u, 3584742913798803163u, 219235682866u},
+    {4290982361913532783u, 4347581515245125290u, 84912721627u},
+    {11826659981004351409u, 16836742268156371391u, 2637732180u},
+    {932930645678090820u, 11764082328865615307u, 43322963970u},
+    {12707792781328052617u, 5957633711383291745u, 43u},
+    {16491596426880311906u, 799167628880u, 0u},
+    {3092207065214166010u, 799u, 0u},
+    {1u, 0u, 229537611776u},
+    {8142946531605512550u, 9917186842884466952u, 157257552869u},
+    {5328402096432654515u, 4751011869809829334u, 144600024477u},
+    {1932004361303814512u, 11068497969931435028u, 142927971728u},
+    {2511477647985517771u, 17118056985122509953u, 229791850638u},
+    {17451375493324716694u, 14607066080907684458u, 128637992933u},
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+    {15341283120292884947u, 2201029069927307149u, 62563676580u},
+    {3092789040392634166u, 10397997613804897038u, 206773573694u},
+    {8811761390822097865u, 14269915965770103740u, 171909436366u},
+    {16870860798610218169u, 16776139909196366726u, 54338624171u},
+    {17452041453591904833u, 6246513436385199719u, 6158620214u},
+    {10314783684009874908u, 2926026498821554287u, 225852481030u},
+    {4932636630789274903u, 15725499391028340981u, 121464937185u},
+    {18143884346082124480u, 8576577277771450826u, 54841522553u},
+    {2823209155405527322u, 15523351176022259334u, 85258861878u},
+    {16195396106620226251u, 4775158829429176133u, 152549789013u},
+    {1150544491807648944u, 10141817222123532461u, 212696472984u},
+    {7767455475523884824u, 12847658900242624585u, 171743122900u},
+    {15204378045683991808u, 13708197964460514654u, 104105793195u},
+    {17239732561718805622u, 1951540006613246931u, 153540978792u},
+    {12886430624522800062u, 9979297327280092198u, 49833822361u},
+    {18162250541178258136u, 15381307706282553683u, 16544130097u},
+    {17028935366700158084u, 10037428657543061176u, 17140126480u},
+    {16075467823964198637u, 2584877324547208667u, 178061074449u},
+    {9803858825574498304u, 1126624732730703575u, 80081372850u},
+    {17464070808143041817u, 1501064139624981019u, 35282958416u},
+    {17682703471239266776u, 5219661484955306108u, 113289319203u},
+    {18147688354161351336u, 5336997298570282211u, 56660882545u},
+    {6663423873348080051u, 12191131175733833361u, 241200960568u},
+    {9417270363716235133u, 3707068178994436535u, 61273516273u},
+    {9295013721571344179u, 5045484691732942021u, 75804906301u},
+    {6199479138350037783u, 14847900542908711231u, 73493163339u},
+    {887603005365085688u, 9097257915916965134u, 226134008905u},
+    {333989628642975696u, 2472027983230314216u, 68865979874u},
+    {4620735991403939439u, 15974509111133272204u, 580u},
+    {12418523063962801201u, 10715086071862u, 0u},
+    {1587745622680169419u, 10715u, 0u},
+    {1u, 0u, 225655914496u},
+    {10968905082284365638u, 12099486841948187398u, 72288392929u},
+    {14076907092801977812u, 5319910566029976327u, 139626084168u},
+    {3438322122816124202u, 11549214421017285863u, 77108354699u},
+    {14645413324829073676u, 1998791413186046699u, 8925646925u},
+    {12271281439492289999u, 17075171930090011209u, 208821732872u},
+    {6233751789862708246u, 15158296003813501473u, 176073730256u},
+    {1962644459455827991u, 1360083178079384114u, 155334366896u},
+    {8726934184642952500u, 6167980558592741157u, 60196792475u},
+    {4531087719737475147u, 3630180428124865652u, 6123412028u},
+    {481513520412720775u, 2276550099763657676u, 110022063878u},
+    {992149349835802669u, 407006713016100654u, 68772091758u},
+    {11165474436676191361u, 14242579061653496001u, 190972772932u},
+    {10240785855143707184u, 17944493332678643703u, 76053515454u},
+    {10059329918238932466u, 987185901870869451u, 61302420044u},
+    {14791716450947031886u, 5578665155415167744u, 21262876221u},
+    {15378882314737417403u, 4849210377429577535u, 125586119445u},
+    {14726970229242271128u, 10811995403388891861u, 117382285949u},
+    {5090110549507128156u, 7051931074990177293u, 76110091637u},
+    {17185220781106503841u, 2030832259446664274u, 223329028940u},
+    {9858517691519529306u, 6069512651054767895u, 162575098847u},
+    {5595905546638020703u, 10608701253763958798u, 212851101602u},
+    {15555173226968030256u, 15700053443426906716u, 111962756308u},
+    {10745236628845355771u, 17759719234725541221u, 16823306351u},
+    {9973314042399760760u, 15187321568916405209u, 47598488080u},
+    {4374506813558796576u, 11040156458113129593u, 114151827759u},
+    {15960826480426749933u, 2800727824598008496u, 5162480498u},
+    {9636454862798615738u, 2997236166375604478u, 14339360261u},
+    {17973331528911319269u, 6260091886451512840u, 63952637454u},
+    {7366495200039369602u, 17573059315228347473u, 78407630399u},
+    {10505831326526933399u, 7519453664590169250u, 176857031246u},
+    {2803218632575724145u, 15809436065653866528u, 38067632u},
+    {8425731874431741636u, 702223880805592151u, 0u},
+    {14860552245711912111u, 702223880u, 0u},
+    {1u, 0u, 234012409856u},
+    {6993664200669526994u, 228921437623588921u, 212119037930u},
+    {4065363582031999356u, 2195862230003073883u, 71052052948u},
+    {6899780515342669867u, 960207412233973687u, 189133594695u},
+    {17713500890201844939u, 2464387149230492478u, 247196883901u},
+    {6445781125105107086u, 3631866936444955212u, 93085560055u},
+    {13563044070717478571u, 1578304441149380226u, 223986111069u},
+    {13167612994149348885u, 18190538519673445180u, 153068901087u},
+    {5505463469596727288u, 1271000736479934748u, 96991663513u},
+    {12125446212518819372u, 18292963032817745633u, 151930679904u},
+    {12537707724735421794u, 17168014021925537454u, 165978316695u},
+    {15173675086703777069u, 18046757712870378948u, 167805453733u},
+    {13535510174093048476u, 14857998893911743219u, 7646922151u},
+    {10698912997087096629u, 11933607369968684574u, 179188857095u},
+    {16952559548431933861u, 3483798509902859161u, 107400007091u},
+    {13528255827744249993u, 7378828438829845830u, 75856039275u},
+    {14122167436324771955u, 15791137430347699564u, 11923964747u},
+    {13071007137740038297u, 17044141236829932640u, 221491992075u},
+    {13011887609328904025u, 9075651910862456483u, 46965547485u},
+    {3116434332871336590u, 17811207355884564094u, 59240619054u},
+    {9050993820536772770u, 4438638126207305936u, 57678058555u},
+    {11993719123438634238u, 12507972635512950184u, 225794626361u},
+    {1414857165879849301u, 14658269128098109407u, 119197456865u},
+    {13819438220812375094u, 3642436268910286110u, 196205082231u},
+    {6073063033888264440u, 3783099432964819560u, 54514864836u},
+    {6828883869150720294u, 9497579866027539637u, 222184053046u},
+    {4548265621068768345u, 3395179445046271360u, 152321926878u},
+    {10422524923581371874u, 5938502732309497275u, 224314075544u},
+    {1858996082510682634u, 5793671185917606254u, 224048207584u},
+    {890276727450878316u, 889272970253526587u, 90465891296u},
+    {3886008133802710905u, 8594177504370135500u, 102399764570u},
+    {612074409233016757u, 7374354721120724711u, 190800386918u},
+    {3927020336901729264u, 14764532643665507566u, 2494u},
+    {5298603480094474942u, 46020944252475u, 0u},
+    {17418383752590430025u, 46020u, 0u},
+    {1u, 0u, 45292322816u},
+    {8973799690601597929u, 5392404173658087694u, 121269781293u},
+    {1343055462055792431u, 4976586473237854315u, 83342007929u},
+    {17425118728683169659u, 6308932742419013568u, 51261934931u},
+    {18389781726026675967u, 4831846642430703058u, 102983344691u},
+    {272526939565961561u, 18139507855949846900u, 231263777382u},
+    {11293026845930963228u, 4865833876326628409u, 113775023591u},
+    {13997416438903902597u, 14296661839130179260u, 163501702257u},
+    {6186605805999441184u, 9254773150378118247u, 221659992483u},
+    {4401776373281836138u, 12174712433727875142u, 65038253533u},
+    {16338917089754547008u, 705653145340915198u, 114962984513u},
+    {13337700757935003056u, 17763928858962481811u, 50215910002u},
+    {14612496890816348693u, 3982836567612046295u, 156690140722u},
+    {3219935399907691719u, 12730849277561967738u, 88938620316u},
+    {10887238730052330387u, 17314488764367235907u, 102864728152u},
+    {360256418697768294u, 15951418930590301118u, 37389952614u},
+    {321440824631118565u, 7193356087283467260u, 136953715493u},
+    {10069228080701402580u, 17592945625696089445u, 243192687752u},
+    {9428069607611622975u, 3554461664875361427u, 46120009203u},
+    {14736799017468812344u, 2213779057785318207u, 153210386222u},
+    {10875332567307979280u, 3880940796082421147u, 149245476249u},
+    {4611492910339012807u, 4528237545358141042u, 108633238933u},
+    {10743508637597314786u, 11681196539088147362u, 140533156716u},
+    {9356196315668016028u, 9835005502912643016u, 128269103756u},
+    {15755598617722189347u, 4964088126040986695u, 206181905536u},
+    {1275276394173375542u, 3355564873147047621u, 30100456398u},
+    {12644999363867216251u, 1853093467828272926u, 105799888670u},
+    {4553830511509832021u, 14755341584803008676u, 103254872681u},
+    {8869400642218174412u, 4701571132542556620u, 87332245607u},
+    {16570849151159054040u, 6128849686644853850u, 68651977815u},
+    {16127119334101797673u, 12026867901170202093u, 86970890052u},
+    {9686867250420930550u, 17909760324981426302u, 230157084246u},
+    {10678226869774428035u, 2897692901883393663u, 163499238u},
+    {7767227962910162068u, 3016028602530220424u, 0u},
+    {9780840471948993674u, 3016028602u, 0u},
+    {1u, 0u, 213668069376u},
+    {6288709332106746357u, 12323704802554838153u, 16386837205u},
+    {9066785620141948673u, 7135886931147821731u, 141831652624u},
+    {8442375916704414909u, 15341283120292884946u, 14167660429u},
+    {11604629218100425803u, 3092789040392634165u, 188477686542u},
+    {3877248044010875762u, 8811761390822097864u, 134914571196u},
+    {16435137704395217283u, 16870860798610218168u, 103946077062u},
+    {14994442577577813271u, 17452041453591904832u, 111559165543u},
+    {4410105917142436089u, 10314783684009874907u, 245267398767u},
+    {4632574728444936970u, 4932636630789274902u, 202983581941u},
+    {9117147535650050359u, 18143884346082124479u, 134153046474u},
+    {588939301256904809u, 2823209155405527321u, 69877954182u},
+    {324393982565305683u, 16195396106620226250u, 173062371141u},
+    {9380909186923521175u, 1150544491807648943u, 73421074605u},
+    {4463385697777230217u, 7767455475523884823u, 94824230985u},
+    {16378985502426333808u, 15204378045683991807u, 211934567774u},
+    {18210894922387834354u, 17239732561718805621u, 38698574803u},
+    {1555748035329493205u, 12886430624522800061u, 83984577574u},
+    {4277055533891898507u, 18162250541178258135u, 184923140435u},
+    {11574429772510874408u, 17028935366700158083u, 219871452856u},
+    {17391099253493808815u, 16075467823964198636u, 215531468251u},
+    {5791212393959129882u, 9803858825574498303u, 27946729175u},
+    {11254268231455680880u, 17464070808143041816u, 124958581275u},
+    {16355477587312235322u, 17682703471239266775u, 227983788156u},
+    {2411485149249320633u, 18147688354161351335u, 145361224931u},
+    {12763114642070638360u, 6663423873348080050u, 183510511249u},
+    {1147543073987366419u, 9417270363716235132u, 197503883703u},
+    {8410777835225272692u, 9295013721571344178u, 63336074437u},
+    {8134725822306818018u, 6199479138350037782u, 14048117055u},
+    {8899607004752328377u, 887603005365085687u, 232018105614u},
+    {690976506652396830u, 333989628642975695u, 140250490600u},
+    {12281570945595192074u, 4620735991403939438u, 54673209484u},
+    {12592957291365552899u, 12418523063962801200u, 219086071862u},
+    {13595807339013970272u, 1587745622680169418u, 10715u},
+    {9698096389749839992u, 197658450495420u, 0u},
+    {8310173728816391804u, 197658u, 0u},
+};
+
+static const uint16_t POW10_OFFSET_2[69] = {
+    0,    2,    6,    12,   20,   29,   40,   52,   66,   80,   95,   112,
+    130,  150,  170,  192,  215,  240,  265,  292,  320,  350,  381,  413,
+    446,  480,  516,  552,  590,  629,  670,  712,  755,  799,  845,  892,
+    940,  989,  1040, 1092, 1145, 1199, 1254, 1311, 1369, 1428, 1488, 1550,
+    1613, 1678, 1743, 1810, 1878, 1947, 2017, 2088, 2161, 2235, 2311, 2387,
+    2465, 2544, 2625, 2706, 2789, 2873, 2959, 3046, 3133};
+
+static const uint8_t MIN_BLOCK_2[69] = {
+    0,  0,  0,  0,  0,  0,  1,  1,  2,  3,  3,  4,  4,  5,  5,  6,  6,  7,
+    7,  8,  8,  9,  9,  10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 16, 16,
+    17, 17, 18, 19, 19, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, 25, 26, 26,
+    27, 27, 28, 28, 29, 29, 30, 30, 31, 31, 32, 32, 33, 34, 0};
+
+static const uint64_t POW10_SPLIT_2[3133][3] = {
+    {0u, 0u, 3906250u},
+    {0u, 0u, 202000000000u},
+    {0u, 11153727427136454656u, 59u},
+    {0u, 7205759403792793600u, 59604644775u},
+    {0u, 0u, 167390625000u},
+    {0u, 0u, 232000000000u},
+    {0u, 16777216000000000u, 0u},
+    {0u, 12945425605062557696u, 909494u},
+    {0u, 4388757836872548352u, 182701772928u},
+    {0u, 1152921504606846976u, 128237915039u},
+    {0u, 0u, 159062500000u},
+    {0u, 0u, 160000000000u},
+    {0u, 256000000000u, 0u},
+    {0u, 16192327041775828992u, 13u},
+    {0u, 15024075324038053888u, 13877787807u},
+    {0u, 5449091666327633920u, 159814456755u},
+    {0u, 2494994193563254784u, 179295395851u},
+    {0u, 4611686018427387904u, 11135253906u},
+    {0u, 0u, 146250000000u},
+    {0u, 0u, 128000000000u},
+    {0u, 3906250u, 0u},
+    {0u, 3906250000000000u, 0u},
+    {0u, 4368439412768899072u, 211758u},
+    {0u, 1563676642168012800u, 46236813575u},
+    {0u, 11532349341402398720u, 7084767080u},
+    {0u, 9048364970084925440u, 104625169910u},
+    {0u, 16609275425742389248u, 246490512847u},
+    {0u, 0u, 207900390625u},
+    {0u, 0u, 225000000000u},
+    {11153727427136454656u, 59u, 0u},
+    {7205759403792793600u, 59604644775u, 0u},
+    {0u, 4264412554261970152u, 3u},
+    {0u, 14485570586272534528u, 3231174267u},
+    {0u, 17827675094632103936u, 123785264354u},
+    {0u, 7347197909193981952u, 226966440203u},
+    {0u, 13677404030777688064u, 11398292396u},
+    {0u, 3810326759732150272u, 172741453558u},
+    {0u, 9943947977234055168u, 246206558227u},
+    {0u, 0u, 19539062500u},
+    {0u, 0u, 228000000000u},
+    {12945425605062557696u, 909494u, 0u},
+    {4388757836872548352u, 909494701772928u, 0u},
+    {1152921504606846976u, 14878706826214591391u, 49303u},
+    {0u, 4387341015746028192u, 151806576313u},
+    {0u, 651726680428265472u, 185237838233u},
+    {0u, 2570638187944738816u, 153035330174u},
+    {0u, 7419175577111756800u, 126139354575u},
+    {0u, 17299322326264840192u, 207402194313u},
+    {0u, 7990511638862102528u, 137937798142u},
+    {0u, 16717361816799281152u, 254433166503u},
+    {0u, 0u, 167906250000u},
+    {0u, 0u, 16000000000u},
+    {16192327041775828992u, 13u, 0u},
+    {15024075324038053888u, 13877787807u, 0u},
+    {5449091666327633920u, 13877787807814456755u, 0u},
+    {2494994193563254784u, 9707857417284919307u, 752316384u},
+    {4611686018427387904u, 1844515466944871826u, 224526264005u},
+    {0u, 15167599819856275072u, 197099991383u},
+    {0u, 14830185305589481472u, 87822237233u},
+    {0u, 6163721531743535104u, 49803945956u},
+    {0u, 14122847407012052992u, 228334136013u},
+    {0u, 335491783960035328u, 205765601092u},
+    {0u, 941252322120433664u, 68018187046u},
+    {0u, 11529215046068469760u, 38051025390u},
+    {0u, 0u, 238625000000u},
+    {0u, 0u, 64000000000u},
+    {4368439412768899072u, 211758u, 0u},
+    {1563676642168012800u, 211758236813575u, 0u},
+    {11532349341402398720u, 8061591463141767016u, 11479u},
+    {9048364970084925440u, 16628725344207857142u, 215437019748u},
+    {16609275425742389248u, 3555541870038531535u, 100901445007u},
+    {0u, 18316647450161853665u, 143192746310u},
+    {0u, 16709574568378075648u, 70992947447u},
+    {0u, 7696022835795591168u, 247905827852u},
+    {0u, 16664449640376041472u, 12417202233u},
+    {0u, 3109186955116544000u, 57903381625u},
+    {0u, 10515518101817131008u, 121168549362u},
+    {0u, 9961962375743537152u, 242570047378u},
+    {0u, 9223372036854775808u, 146540039062u},
+    {0u, 0u, 150500000000u},
+    {14485570586272534528u, 3231174267u, 0u},
+    {17827675094632103936u, 3231174267785264354u, 0u},
+    {7347197909193981952u, 748977172262750475u, 175162308u},
+    {13677404030777688064u, 15965033457315095468u, 196040602133u},
+    {3810326759732150272u, 16809402149066729206u, 21865466197u},
+    {9943947977234055168u, 7563769067065700371u, 85911239516u},
+    {0u, 13550322810840051428u, 92410032742u},
+    {0u, 8663209637545764864u, 102734564471u},
+    {0u, 8969247575312957440u, 119469633535u},
+    {0u, 6193172891660451840u, 255486223885u},
+    {0u, 3427954273864908800u, 13335732575u},
+    {0u, 10058367555266936832u, 95185829773u},
+    {0u, 13907115649320091648u, 141545265197u},
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+    {121631169379748595u, 14354009428310052102u, 232289027415u},
+    {16679062494579173314u, 5581221063029119078u, 87778132410u},
+    {10739912744743898054u, 1529260335339476189u, 186302558600u},
+    {9367340677776287570u, 16483061525949201148u, 136082901368u},
+    {12227321512794715397u, 14431217812333089675u, 120893548555u},
+    {7241061891859170651u, 3452349151135392267u, 11782317885u},
+    {13148571323079237489u, 9075317899834447999u, 61187152222u},
+    {12509763434355012654u, 2764331337978901575u, 94491973969u},
+    {11812768946960181977u, 1942890683708857202u, 81149854702u},
+    {14170358803552564832u, 165089169728028447u, 238105324315u},
+    {18179989524780635952u, 15193620741871233073u, 27008949501u},
+    {17091718978514754901u, 14995000835194145926u, 253823647830u},
+    {7394768384359232459u, 1788823614552255558u, 86812880624u},
+    {6778628272692852803u, 8384901184618498845u, 240096972322u},
+    {18193335045875234320u, 405511217862281310u, 34454546404u},
+    {1378519212560967521u, 3111530463755196557u, 228021982807u},
+    {4677732610631043584u, 7893558450035460812u, 87168676404u},
+    {17296098591070486528u, 156573858237402216u, 52427910661u},
+    {7343735382392963072u, 15915324019419451223u, 5008487885u},
+    {14525996728454217728u, 16293363012778802804u, 205862771443u},
+    {9691359370008330240u, 14342105318291351412u, 243883264978u},
+    {3044433348102455296u, 3788398842525387052u, 210777487087u},
+    {9223372036854775808u, 14118764407048307670u, 239205369512u},
+    {0u, 2705021334614720768u, 168765379752u},
+    {0u, 7017988973805568000u, 168146639500u},
+    {0u, 10956732053634154496u, 140380445944u},
+    {0u, 14657517938546835456u, 248593965634u},
+    {0u, 11268868284797157376u, 66794585639u},
+    {0u, 14600669991935148032u, 39610886573u},
+    {0u, 4611686018427387904u, 173791503906u},
+    {0u, 0u, 34250000000u},
+    {0u, 0u, 128000000000u},
+    {8201586317771250746u, 1424047269u, 0u},
+    {3278889188817135834u, 1424047269444608885u, 0u},
+    {1710725240251040430u, 3001188830946823627u, 77197757u},
+    {1850175733663425006u, 9732296932705387049u, 189162694772u},
+    {9147599666163914249u, 16337535782679529459u, 116527588873u},
+    {10221885933644344166u, 7969742269895046547u, 9885659589u},
+    {14901479793736678101u, 2923592083903829642u, 197432040594u},
+    {5181831442059703136u, 8144196241160608534u, 146158488244u},
+    {6396246577759793483u, 16431078457793424253u, 180441497762u},
+    {14167229556464870447u, 202362949592775653u, 162890730548u},
+    {2969982933326311854u, 8835125248522947981u, 52010970117u},
+    {7892677766222018881u, 7959873808777345113u, 5478953099u},
+    {798698968922663621u, 14929747122315126151u, 139431505623u},
+    {15926812109043458972u, 4310328817360515349u, 215809343213u},
+    {8663842590352697437u, 7294899422760201126u, 237233663393u},
+    {17093523026636671168u, 2047461597291187207u, 161395457290u},
+    {839764004742743203u, 10942374468813517900u, 10110993115u},
+    {16894643909298232323u, 10364795403063433969u, 219593187308u},
+    {9066702926218949317u, 12330859528790939137u, 236561876684u},
+    {9119392417260546810u, 8973160144879916806u, 204668457234u},
+    {9723021096578315109u, 2895354388547509877u, 18486435986u},
+    {14787464248751217597u, 16766844772497556429u, 146156957475u},
+    {3733434565920249133u, 7442407174620948827u, 35908932476u},
+    {6643788868836820841u, 6683013428676659077u, 124403453701u},
+    {4729646697422664063u, 16713703375071907588u, 5362286883u},
+    {4090144564201555829u, 8791044883080637861u, 35906051675u},
+    {2109480737093400002u, 602844107089214413u, 91476563498u},
+    {16577155033369419739u, 9754832281172880875u, 42032680244u},
+    {745377248603805917u, 10587846778003503903u, 52528810517u},
+    {11305561465807999667u, 17206244172922947013u, 21573968323u},
+    {2211245518782892177u, 11620628420699303875u, 195932752365u},
+    {14170095199249735666u, 17864732368219338611u, 237629955528u},
+    {17849973668116118927u, 4146383014621345887u, 200968449082u},
+    {9020960204585720001u, 11445705075042688243u, 58224775873u},
+    {10807134002871850916u, 7369147888966546592u, 193620472915u},
+    {3925122626254791201u, 9762476865090597796u, 83399482307u},
+    {17208463291312718997u, 5507001428194242827u, 195529224931u},
+    {5145077219589447653u, 11371471148365328344u, 227298535145u},
+    {17602397765035489468u, 3148788104946538618u, 233616448686u},
+    {16422643262490753377u, 3762722308424507574u, 174170696145u},
+    {2902509461400906224u, 1156171244825745915u, 209203977585u},
+    {3422418805967265206u, 14208921674868257865u, 113062676168u},
+    {4228874576277237392u, 7903080886897905503u, 200770267187u},
+    {2553488530807495751u, 6367240794154270982u, 51428426873u},
+    {11546099176912486413u, 1623672396662369850u, 121345168815u},
+    {10460791037534167991u, 18323231215381674394u, 175088019456u},
+    {8127117908566000904u, 9842279843006544554u, 993304354u},
+    {11541304458088287306u, 7376839231308610600u, 34533551059u},
+    {6249718665174839700u, 609751749293657672u, 211399899256u},
+    {13102508413386290995u, 10386457966860989799u, 120033054708u},
+    {6274675218640661911u, 11160336020836149780u, 244563051014u},
+    {3404497118599817167u, 17947559933847409193u, 6605003027u},
+    {11258566093988562335u, 10229787001712704590u, 19972939173u},
+    {16762592482501635397u, 10441677090043619866u, 165554557864u},
+    {5550125446725071998u, 4996681336392922375u, 168566044449u},
+    {6370033225258510318u, 124497102381021895u, 33270870638u},
+    {1503521728674735398u, 8180812057779384577u, 110006749001u},
+    {4250415082606384364u, 5294232873532946716u, 73443482710u},
+    {6020091901030562974u, 2885620189169448039u, 86287000939u},
+    {16288222967151527138u, 16662526875008170507u, 107156429783u},
+    {6377016228656203782u, 15663095032402672480u, 215903277391u},
+    {8378856515587563750u, 1824281504410546614u, 79849098083u},
+    {15812881490200838483u, 9506565509584809953u, 99098894498u},
+    {4548570371183413652u, 16941136942345070055u, 162515351948u},
+    {16731431495283420383u, 15924115693705937725u, 140918380873u},
+    {14737727629551135532u, 9247807690406628462u, 73863248041u},
+    {12413722258104293893u, 7993916633864834871u, 169501324659u},
+    {800899742400762438u, 1018504409177639408u, 115433351089u},
+    {603197008376033550u, 12097800686634130718u, 177055213234u},
+    {6380777281587743935u, 6221488888422637551u, 178655823089u},
+    {10001440249018225388u, 8229322865256080421u, 241337267588u},
+    {5505914461980436708u, 7927745108183101786u, 132446112486u},
+    {1105464290051876864u, 8488683721235326653u, 230429763923u},
+    {4500443576769970176u, 11165516518170922283u, 83460172466u},
+    {2843045143185981440u, 5463648141113596927u, 178605283863u},
+    {660949699682893824u, 3958440403860778042u, 23296184959u},
+    {276549164618219520u, 5091534813990256011u, 127214587484u},
+    {4683743612465315840u, 6100166970623291280u, 92276012655u},
+    {0u, 1913011027739012426u, 111330690714u},
+    {0u, 11310957650604221440u, 154103704535u},
+    {0u, 16303817257009020928u, 215613168242u},
+    {0u, 9090406322154766336u, 114883831704u},
+    {0u, 3003279315069566976u, 152492791914u},
+    {0u, 16582887146675765248u, 106162808097u},
+    {0u, 9691746398101307392u, 33898960113u},
+    {0u, 0u, 241525390625u},
+    {0u, 0u, 33000000000u},
+};
+
+#endif // LLVM_LIBC_SRC_SUPPORT_RYU_CONSTANTS_H

libc/src/stdio/printf_core/CMakeLists.txt

HDRS
     converter_utils.h
     string_converter.h
     char_converter.h
     int_converter.h
     ptr_converter.h
     write_int_converter.h
     float_inf_nan_converter.h
     float_hex_converter.h
+    float_dec_converter.h
   DEPENDS
     .writer
     .core_structs
     libc.src.__support.CPP.limits
     libc.src.__support.CPP.span
     libc.src.__support.CPP.string_view
     libc.src.__support.FPUtil.fp_bits
     libc.src.__support.FPUtil.fenv_impl
+    libc.src.__support.uint
+    libc.src.__support.uint128
     libc.src.__support.integer_to_string
+    libc.src.__support.float_to_string
 )
 
 
 add_object_library(
   printf_main
   SRCS
     printf_main.cpp
   HDRS

libc/src/stdio/printf_core/converter.cpp

int convert(Writer *writer, const FormatSection &to_conv) {
   case 'd':
   case 'i':
   case 'u':
   case 'o':
   case 'x':
   case 'X':
     return convert_int(writer, to_conv);
 #ifndef LLVM_LIBC_PRINTF_DISABLE_FLOAT
-  // case 'f':
-  // case 'F':
-  // return convert_float_decimal(writer, to_conv);
+  case 'f':
+  case 'F':
+    return convert_float_decimal(writer, to_conv);
   // case 'e':
   // case 'E':
   // return convert_float_dec_exp(writer, to_conv);
   case 'a':
   case 'A':
     return convert_float_hex_exp(writer, to_conv);
     // case 'g':
     // case 'G':

libc/src/stdio/printf_core/converter_atlas.h

 // defines convert_char
 #include "src/stdio/printf_core/char_converter.h"
 
 // defines convert_int
 #include "src/stdio/printf_core/int_converter.h"
 
 #ifndef LLVM_LIBC_PRINTF_DISABLE_FLOAT
 // defines convert_float_decimal
+#include "src/stdio/printf_core/float_dec_converter.h"
 // defines convert_float_dec_exp
 // defines convert_float_hex_exp
 #include "src/stdio/printf_core/float_hex_converter.h"
 // defines convert_float_mixed
 #endif // LLVM_LIBC_PRINTF_DISABLE_FLOAT
 
 #ifndef LLVM_LIBC_PRINTF_DISABLE_WRITE_INT
 #include "src/stdio/printf_core/write_int_converter.h"
 #endif // LLVM_LIBC_PRINTF_DISABLE_WRITE_INT
 
 // defines convert_pointer
 #include "src/stdio/printf_core/ptr_converter.h"
 
 #endif // LLVM_LIBC_SRC_STDIO_PRINTF_CORE_CONVERTER_ATLAS_H

libc/src/stdio/printf_core/float_dec_converter.h

+//===-- Decimal Float Converter for printf ----------------------*- C++ -*-===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef LLVM_LIBC_SRC_STDIO_PRINTF_CORE_FLOAT_DEC_CONVERTER_H
+#define LLVM_LIBC_SRC_STDIO_PRINTF_CORE_FLOAT_DEC_CONVERTER_H
+
+#include "src/__support/CPP/string_view.h"
+#include "src/__support/FPUtil/FEnvImpl.h"
+#include "src/__support/FPUtil/FPBits.h"
+#include "src/__support/UInt.h"
+#include "src/__support/UInt128.h"
+#include "src/__support/float_to_string.h"
+#include "src/__support/integer_to_string.h"
+#include "src/stdio/printf_core/converter_utils.h"
+#include "src/stdio/printf_core/core_structs.h"
+#include "src/stdio/printf_core/float_inf_nan_converter.h"
+#include "src/stdio/printf_core/writer.h"
+
+#include <inttypes.h>
+#include <stddef.h>
+
+namespace __llvm_libc {
+namespace printf_core {
+
+using MantissaInt = fputil::FPBits<long double>::UIntType;
+
+// Returns true if value is divisible by 2^p.
+constexpr inline bool multiple_of_power_of_2(const uint64_t value,
+                                             const uint32_t p) {
+  return (value & ((uint64_t(1) << p) - 1)) == 0;
+}
+
+constexpr size_t BLOCK_SIZE = 9;
+constexpr uint32_t MAX_BLOCK = 999999999;
+
+// constexpr size_t BLOCK_SIZE = 18;
+// constexpr uint32_t MAX_BLOCK = 999999999999999999;
+constexpr char DECIMAL_POINT = '.';
+
+// This is used to represent which direction the number should be rounded.
+enum class RoundDirection { Up, Down, Even };
+
+class PaddingWriter {
+  bool left_justified = false;
+  bool leading_zeroes = false;
+  char sign_char = 0;
+  size_t min_width = 0;
+
+public:
+  PaddingWriter() {}
+  PaddingWriter(const FormatSection &to_conv, char init_sign_char)
+      : left_justified((to_conv.flags & FormatFlags::LEFT_JUSTIFIED) > 0),
+        leading_zeroes((to_conv.flags & FormatFlags::LEADING_ZEROES) > 0),
+        sign_char(init_sign_char),
+        min_width(to_conv.min_width > 0 ? to_conv.min_width : 0) {}
+
+  int write_left_padding(Writer *writer, size_t total_digits) {
+    // The pattern is (spaces) (sign) (zeroes), but only one of spaces and
+    // zeroes can be written, and only if the padding amount is positive.
+    int padding_amount = min_width - total_digits - (sign_char > 0 ? 1 : 0);
+    if (left_justified || padding_amount < 0) {
+      if (sign_char > 0) {
+        RET_IF_RESULT_NEGATIVE(writer->write(sign_char));
+      }
+      return 0;
+    }
+    if (!leading_zeroes) {
+      RET_IF_RESULT_NEGATIVE(writer->write(' ', padding_amount));
+    }
+    if (sign_char > 0) {
+      RET_IF_RESULT_NEGATIVE(writer->write(sign_char));
+    }
+    if (leading_zeroes) {
+      RET_IF_RESULT_NEGATIVE(writer->write('0', padding_amount));
+    }
+    return 0;
+  }
+
+  int write_right_padding(Writer *writer, size_t total_digits) {
+    // If and only if the conversion is left justified, there may be trailing
+    // spaces.
+    int padding_amount = min_width - total_digits - (sign_char > 0 ? 1 : 0);
+    if (left_justified && padding_amount > 0) {
+      RET_IF_RESULT_NEGATIVE(writer->write(' ', padding_amount));
+    }
+    return 0;
+  }
+};
+
+/*
+  We only need to round a given segment if all of the segments below it are
+  the max (or this is the last segment). This means that we don't have to
+  write those initially, we can just keep the most recent non-maximal
+  segment and a counter of the number of maximal segments. When we reach a
+  non-maximal segment, we write the stored segment as well as as many 9s as
+  are necessary. Alternately, if we reach the end and have to round up, then
+  we round the stored segment, and write zeroes following it. If this
+  crosses the decimal point, then we have to shift it one space to the
+  right.
+  This FloatWriter class does the buffering and counting, and writes to the
+  output when necessary.
+*/
+class FloatWriter {
+  char block_buffer[BLOCK_SIZE];
+  size_t buffered_digits = 0;
+  bool has_written = false;
+  size_t max_block_count = 0;
+  size_t total_digits = 0;
+  size_t digits_before_decimal = 0;
+  size_t total_digits_written = 0;
+  bool has_decimal_point;
+  Writer *writer;
+  PaddingWriter padding_writer;
+
+  int flush_buffer() {
+    // Write the most recent buffered block, and mark has_written
+    if (!has_written) {
+      has_written = true;
+      RET_IF_RESULT_NEGATIVE(
+          padding_writer.write_left_padding(writer, total_digits));
+    }
+
+    if (buffered_digits > 0) {
+      RET_IF_RESULT_NEGATIVE(writer->write({block_buffer, buffered_digits}));
+      total_digits_written += buffered_digits;
+      buffered_digits = 0;
+    }
+
+    // if the decimal point is the next character, or is in the range covered
+    // by the max blocks, write the appropriate digits and the decimal point.
+    if (total_digits_written <= digits_before_decimal &&
+        total_digits_written + BLOCK_SIZE * max_block_count >=
+            digits_before_decimal &&
+        has_decimal_point) {
+      size_t digits_to_write = digits_before_decimal - total_digits_written;
+      if (digits_to_write > 0) {
+        RET_IF_RESULT_NEGATIVE(writer->write('9', digits_to_write));
+      }
+      RET_IF_RESULT_NEGATIVE(writer->write(DECIMAL_POINT));
+      if (digits_to_write - (BLOCK_SIZE * max_block_count) > 0) {
+        RET_IF_RESULT_NEGATIVE(writer->write(
+            '9', digits_to_write - (BLOCK_SIZE * max_block_count)));
+      }
+      // add 1 for the decimal point
+      total_digits_written += BLOCK_SIZE * max_block_count + 1;
+      // clear the buffer of max blocks
+      max_block_count = 0;
+    }
+
+    // Clear the buffer of max blocks
+    if (max_block_count > 0) {
+      RET_IF_RESULT_NEGATIVE(writer->write('9', max_block_count * BLOCK_SIZE));
+      total_digits_written += max_block_count * BLOCK_SIZE;
+      max_block_count = 0;
+    }
+    return 0;
+  }
+
+public:
+  FloatWriter(Writer *init_writer, bool init_has_decimal_point,
+              const PaddingWriter &init_padding_writer)
+      : has_decimal_point(init_has_decimal_point), writer(init_writer),
+        padding_writer(init_padding_writer) {}
+
+  void init(size_t init_total_digits, size_t init_digits_before_decimal) {
+    total_digits = init_total_digits;
+    digits_before_decimal = init_digits_before_decimal;
+  }
+
+  void write_first_block(BlockInt block) {
+    char buf[IntegerToString::dec_bufsize<intmax_t>()];
+    auto const int_to_str = *IntegerToString::dec(block, buf);
+    size_t digits_written = int_to_str.size();
+    // Block Buffer is guaranteed to not overflow since block cannot have more
+    // than BLOCK_SIZE digits.
+    // TODO: Replace with memcpy
+    for (size_t count = 0; count < digits_written; ++count) {
+      block_buffer[count] = int_to_str[count];
+    }
+    total_digits_written = 0;
+    buffered_digits = digits_written;
+    total_digits += digits_written;
+    digits_before_decimal += digits_written;
+  }
+
+  int write_middle_block(BlockInt block) {
+    if (block == MAX_BLOCK) { // Buffer max blocks in case of rounding
+      ++max_block_count;
+    } else { // If a non-max block has been found
+      RET_IF_RESULT_NEGATIVE(flush_buffer());
+
+      // Now buffer the current block. We add 1 + MAX_BLOCK to force the
+      // leading zeroes, and drop the leading one. This is probably inefficient,
+      // but it works. See https://xkcd.com/2021/
+      char buf[IntegerToString::dec_bufsize<intmax_t>()];
+      auto const int_to_str =
+          *IntegerToString::dec(block + (MAX_BLOCK + 1), buf);
+      // TODO: Replace with memcpy
+      for (size_t count = 0; count < BLOCK_SIZE; ++count) {
+        block_buffer[count] = int_to_str[count + 1];
+      }
+
+      buffered_digits = BLOCK_SIZE;
+    }
+    return 0;
+  }
+
+  int write_last_block_dec(BlockInt block, size_t block_digits,
+                           RoundDirection round) {
+    char end_buff[BLOCK_SIZE];
+
+    char buf[IntegerToString::dec_bufsize<intmax_t>()];
+    auto const int_to_str = *IntegerToString::dec(block + (MAX_BLOCK + 1), buf);
+
+    // copy the last block_digits characters into the start of end_buff.
+    // TODO: Replace with memcpy
+    for (int count = block_digits - 1; count >= 0; --count) {
+      end_buff[count] = int_to_str[count + 1 + (BLOCK_SIZE - block_digits)];
+    }
+
+    char low_digit;
+    if (block_digits > 0) {
+      low_digit = end_buff[block_digits - 1];
+    } else if (max_block_count > 0) {
+      low_digit = '9';
+    } else {
+      low_digit = block_buffer[buffered_digits - 1];
+    }
+
+    // Round up
+    if (round == RoundDirection::Up ||
+        (round == RoundDirection::Even && low_digit % 2 != 0)) {
+      bool has_carry = true;
+      // handle the low block that we're adding
+      for (int count = block_digits - 1; count >= 0 && has_carry; --count) {
+        if (end_buff[count] == '9') {
+          end_buff[count] = '0';
+        } else {
+          end_buff[count] += 1;
+          has_carry = false;
+        }
+      }
+      // handle the high block that's buffered
+      for (int count = buffered_digits - 1; count >= 0 && has_carry; --count) {
+        if (block_buffer[count] == '9') {
+          block_buffer[count] = '0';
+        } else {
+          block_buffer[count] += 1;
+          has_carry = false;
+        }
+      }
+
+      // has_carry should only be true here if every previous digit is 9, which
+      // implies that the number has never been written.
+      if (has_carry /* && !has_written */) {
+        ++total_digits;
+        ++digits_before_decimal;
+        // TODO: Handle prefixes here
+        RET_IF_RESULT_NEGATIVE(
+            padding_writer.write_left_padding(writer, total_digits));
+        // Now we know we need to print a leading 1, zeroes up to the decimal
+        // point, the decimal point, and then finally digits after it.
+        RET_IF_RESULT_NEGATIVE(writer->write('1'));
+        // digits_before_decimal - 1 to account for the leading '1'
+        RET_IF_RESULT_NEGATIVE(writer->write('0', digits_before_decimal - 1));
+        if (has_decimal_point) {
+          RET_IF_RESULT_NEGATIVE(writer->write(DECIMAL_POINT));
+          // add one to digits_before_decimal to account for the decimal point
+          // itself.
+          if (total_digits > digits_before_decimal + 1) {
+            RET_IF_RESULT_NEGATIVE(
+                writer->write('0', total_digits - (digits_before_decimal + 1)));
+          }
+        }
+        total_digits_written = total_digits;
+        return 0;
+      }
+    }
+    // Either we intend to round down, or the rounding up is complete. Flush the
+    // buffers.
+
+    RET_IF_RESULT_NEGATIVE(flush_buffer());
+
+    // And then write the final block.
+    RET_IF_RESULT_NEGATIVE(writer->write({end_buff, block_digits}));
+    total_digits_written += block_digits;
+    return 0;
+  }
+
+  int write_last_block_exp(uint32_t block, size_t block_digits, int exponent) {
+    // TODO
+    //  This should be almost identical to the above, except in the case of
+    //  rounding all digits up. Instead of adding an extra digit in front of the
+    //  decimal point, we want to add 1 to the exponent.
+    // Also we need to write the exponent, but that's pretty simple.
+    return -1;
+  }
+
+  int write_zeroes(uint32_t num_zeroes) {
+    RET_IF_RESULT_NEGATIVE(flush_buffer());
+    RET_IF_RESULT_NEGATIVE(writer->write('0', num_zeroes));
+    return 0;
+  }
+
+  int right_pad() {
+    return padding_writer.write_right_padding(writer, total_digits);
+  }
+};
+
+template <typename T, cpp::enable_if_t<cpp::is_floating_point_v<T>, int> = 0>
+int inline convert_float_decimal_typed(Writer *writer,
+                                       const FormatSection &to_conv,
+                                       fputil::FPBits<T> float_bits) {
+  // signed because later we use -MANT_WIDTH
+  constexpr int32_t MANT_WIDTH = fputil::MantissaWidth<T>::VALUE;
+  bool is_negative = float_bits.get_sign();
+  int exponent = float_bits.get_exponent();
+  MantissaInt mantissa = float_bits.get_explicit_mantissa();
+
+  char sign_char = 0;
+
+  if (is_negative)
+    sign_char = '-';
+  else if ((to_conv.flags & FormatFlags::FORCE_SIGN) == FormatFlags::FORCE_SIGN)
+    sign_char = '+'; // FORCE_SIGN has precedence over SPACE_PREFIX
+  else if ((to_conv.flags & FormatFlags::SPACE_PREFIX) ==
+           FormatFlags::SPACE_PREFIX)
+    sign_char = ' ';
+
+  // If to_conv doesn't specify a precision, the precision defaults to 6.
+  size_t precision = to_conv.precision < 0 ? 6 : to_conv.precision;
+  bool has_decimal_point =
+      (precision > 0) || ((to_conv.flags & FormatFlags::ALTERNATE_FORM) != 0);
+
+  // nonzero is false until a nonzero digit is found. It is used to determine if
+  // leading zeroes should be printed, since before the first digit they are
+  // ignored.
+  bool nonzero = false;
+
+  PaddingWriter padding_writer(to_conv, sign_char);
+  FloatWriter float_writer(writer, has_decimal_point, padding_writer);
+  FloatToString<T> float_converter(static_cast<T>(float_bits));
+
+  const uint32_t positive_blocks = float_converter.get_positive_blocks();
+
+  if (positive_blocks >= 0) {
+    // This loop iterates through the number a block at a time until it finds a
+    // block that is not zero or it hits the decimal point. This is because all
+    // zero blocks before the first nonzero digit or the decimal point are
+    // ignored (no leading zeroes, at least at this stage).
+    int32_t i = static_cast<int32_t>(positive_blocks) - 1;
+    for (; i >= 0; --i) {
+      BlockInt digits = float_converter.get_positive_block(i);
+      if (nonzero) {
+        RET_IF_RESULT_NEGATIVE(float_writer.write_middle_block(digits));
+      } else if (digits != 0) {
+        size_t blocks_before_decimal = i;
+        float_writer.init((blocks_before_decimal * BLOCK_SIZE) +
+                              (has_decimal_point ? 1 : 0) + precision,
+                          blocks_before_decimal * BLOCK_SIZE);
+        float_writer.write_first_block(digits);
+
+        nonzero = true;
+      }
+    }
+  }
+
+  // if we haven't yet found a valid digit, buffer a zero.
+  if (!nonzero) {
+    float_writer.init((has_decimal_point ? 1 : 0) + precision, 0);
+    float_writer.write_first_block(0);
+  }
+
+  if (exponent < MANT_WIDTH) {
+    const uint32_t blocks = (precision / BLOCK_SIZE) + 1;
+    uint32_t i = 0;
+    // if all the blocks we should write are zero
+    if (blocks <= float_converter.zero_blocks_after_point()) {
+      i = blocks; // just write zeroes up to precision
+      RET_IF_RESULT_NEGATIVE(float_writer.write_zeroes(precision));
+    } else if (i < float_converter.zero_blocks_after_point()) {
+      // else if there are some blocks that are zeroes
+      i = float_converter.zero_blocks_after_point();
+      // write those blocks as zeroes.
+      RET_IF_RESULT_NEGATIVE(float_writer.write_zeroes(9 * i));
+    }
+    // for each unwritten block
+    for (; i < blocks; ++i) {
+      if (float_converter.is_lowest_block(i)) {
+        const uint32_t fill = precision - 9 * i;
+        RET_IF_RESULT_NEGATIVE(float_writer.write_zeroes(fill));
+        break;
+      }
+      BlockInt digits = float_converter.get_negative_block(i);
+      if (i < blocks - 1) {
+        RET_IF_RESULT_NEGATIVE(float_writer.write_middle_block(digits));
+      } else {
+
+        const uint32_t maximum = precision - BLOCK_SIZE * i;
+        uint32_t lastDigit = 0;
+        for (uint32_t k = 0; k < BLOCK_SIZE - maximum; ++k) {
+          lastDigit = digits % 10;
+          digits /= 10;
+        }
+        RoundDirection round;
+        // Is m * 10^(additionalDigits + 1) / 2^(-exponent) integer?
+        const int32_t requiredTwos =
+            -exponent - MANT_WIDTH - (int32_t)precision - 1;
+        const bool trailingZeros =
+            requiredTwos <= 0 ||
+            (requiredTwos < 60 &&
+             multiple_of_power_of_2(float_bits.get_explicit_mantissa(),
+                                    (uint32_t)requiredTwos));
+        switch (fputil::get_round()) {
+        case FE_TONEAREST:
+          // Round to nearest, if it's exactly halfway then round to even.
+          if (lastDigit != 5) {
+            round = lastDigit > 5 ? RoundDirection::Up : RoundDirection::Down;
+          } else {
+            round = trailingZeros ? RoundDirection::Even : RoundDirection::Up;
+          }
+          break;
+        case FE_DOWNWARD:
+          if (is_negative && (!trailingZeros || lastDigit > 0)) {
+            round = RoundDirection::Up;
+          } else {
+            round = RoundDirection::Down;
+          }
+          break;
+        case FE_UPWARD:
+          if (!is_negative && (!trailingZeros || lastDigit > 0)) {
+            round = RoundDirection::Up;
+          } else {
+            round = RoundDirection::Down;
+          }
+          round = is_negative ? RoundDirection::Down : RoundDirection::Up;
+          break;
+        case FE_TOWARDZERO:
+          round = RoundDirection::Down;
+          break;
+        }
+        RET_IF_RESULT_NEGATIVE(
+            float_writer.write_last_block_dec(digits, maximum, round));
+        break;
+      }
+    }
+  } else {
+    RET_IF_RESULT_NEGATIVE(float_writer.write_zeroes(precision));
+  }
+  RET_IF_RESULT_NEGATIVE(float_writer.right_pad());
+  return WRITE_OK;
+}
+
+int inline convert_float_decimal(Writer *writer, const FormatSection &to_conv) {
+  if (to_conv.length_modifier == LengthModifier::L) {
+    fputil::FPBits<long double>::UIntType float_raw = to_conv.conv_val_raw;
+    fputil::FPBits<long double> float_bits(float_raw);
+    if (!float_bits.is_inf_or_nan()) {
+      return convert_float_decimal_typed<long double>(writer, to_conv,
+                                                      float_bits);
+    }
+  } else {
+    fputil::FPBits<double>::UIntType float_raw = to_conv.conv_val_raw;
+    fputil::FPBits<double> float_bits(float_raw);
+    if (!float_bits.is_inf_or_nan()) {
+      return convert_float_decimal_typed<double>(writer, to_conv, float_bits);
+    }
+  }
+
+  return convert_inf_nan(writer, to_conv);
+}
+} // namespace printf_core
+} // namespace __llvm_libc
+
+#endif // LLVM_LIBC_SRC_STDIO_PRINTF_CORE_FLOAT_DEC_CONVERTER_H

libc/test/src/stdio/sprintf_test.cpp

 
 #include "src/__support/FPUtil/FPBits.h"
 #include "src/__support/FPUtil/PlatformDefs.h"
 #include "utils/UnitTest/Test.h"
 #include "utils/testutils/RoundingModeUtils.h"
 
 class LlvmLibcSPrintfTest : public __llvm_libc::testing::Test {
 protected:
-  char buff[64];
+  char buff[1000];
   int written;
 };
 
 // Subtract 1 from sizeof(expected_str) to account for the null byte.
 #define ASSERT_STREQ_LEN(actual_written, actual_str, expected_str)             \
   EXPECT_EQ(actual_written, static_cast<int>(sizeof(expected_str) - 1));       \
   EXPECT_STREQ(actual_str, expected_str);
 
#endif
   // Combined Tests.
 
   written = __llvm_libc::sprintf(buff, "%12.3a %-12.3A", 0.1, 256.0);
   ASSERT_STREQ_LEN(written, buff, "  0x1.99ap-4 0X1.000P+8  ");
 
   written = __llvm_libc::sprintf(buff, "%+-#12.3a % 012.3a", 0.1256, 1256.0);
   ASSERT_STREQ_LEN(written, buff, "+0x1.014p-3   0x1.3a0p+10");
 }
+
+TEST_F(LlvmLibcSPrintfTest, FloatDecimalConv) {
+  __llvm_libc::testutils::ForceRoundingMode r(
+      __llvm_libc::testutils::RoundingMode::Nearest);
+  double inf = __llvm_libc::fputil::FPBits<double>::inf().get_val();
+  double nan = __llvm_libc::fputil::FPBits<double>::build_nan(1);
+
+  written = __llvm_libc::sprintf(buff, "%f", 1.0);
+  ASSERT_STREQ_LEN(written, buff, "1.000000");
+
+  written = __llvm_libc::sprintf(buff, "%F", -1.0);
+  ASSERT_STREQ_LEN(written, buff, "-1.000000");
+
+  written = __llvm_libc::sprintf(buff, "%f", -1.234567);
+  ASSERT_STREQ_LEN(written, buff, "-1.234567");
+
+  written = __llvm_libc::sprintf(buff, "%f", 0.0);
+  ASSERT_STREQ_LEN(written, buff, "0.000000");
+
+  written = __llvm_libc::sprintf(buff, "%f", 1.5);
+  ASSERT_STREQ_LEN(written, buff, "1.500000");
+
+  written = __llvm_libc::sprintf(buff, "%f", 1e300);
+  ASSERT_STREQ_LEN(
+      written, buff,
+      "100000000000000005250476025520442024870446858110815915491585411551180245"
+      "798890819578637137508044786404370444383288387817694252323536043057564479"
+      "218478670698284838720092657580373783023379478809005936895323497079994508"
+      "111903896764088007465274278014249457925878882005684283811566947219638686"
+      "5459400540160.000000");
+
+  written = __llvm_libc::sprintf(buff, "%f", 0.1);
+  ASSERT_STREQ_LEN(written, buff, "0.100000");
+
+  written = __llvm_libc::sprintf(buff, "%f", 1234567890123456789.0);
+  ASSERT_STREQ_LEN(written, buff, "1234567890123456768.000000");
+
+  written = __llvm_libc::sprintf(buff, "%f", 9999999999999.99);
+  ASSERT_STREQ_LEN(written, buff, "9999999999999.990234");
+
+  // Simple Subnormal Tests.
+
+  written = __llvm_libc::sprintf(buff, "%f", 0x1.0p-1027);
+  ASSERT_STREQ_LEN(written, buff, "0.000000");
+
+  written = __llvm_libc::sprintf(buff, "%f", 0x1.0p-1074);
+  ASSERT_STREQ_LEN(written, buff, "0.000000");
+
+  // Inf/Nan Tests.
+
+  written = __llvm_libc::sprintf(buff, "%f", inf);
+  ASSERT_STREQ_LEN(written, buff, "inf");
+
+  written = __llvm_libc::sprintf(buff, "%F", -inf);
+  ASSERT_STREQ_LEN(written, buff, "-INF");
+
+  written = __llvm_libc::sprintf(buff, "%f", nan);
+  ASSERT_STREQ_LEN(written, buff, "nan");
+
+  written = __llvm_libc::sprintf(buff, "%F", -nan);
+  ASSERT_STREQ_LEN(written, buff, "-NAN");
+
+  // Length Modifier Tests.
+
+  // TODO: Fix long doubles (needs bigger table or alternate algorithm.)
+  // Currently the table values are generated, which is very slow.
+  /*
+  written = __llvm_libc::sprintf(buff, "%Lf", 1e100L);
+  ASSERT_STREQ_LEN(written, buff,
+                   "99999999999999999996693535322073426194986990198284960792713"
+                   "91541752018669482644324418977840117055488.000000");
+
+  written = __llvm_libc::sprintf(buff, "%Lf", 1.0L);
+  ASSERT_STREQ_LEN(written, buff, "1.000000");
+
+  char big_buff[10000];
+  written = __llvm_libc::sprintf(big_buff, "%Lf", 1e1000L);
+  ASSERT_STREQ_LEN(
+      written, big_buff,
+      "999999999999999999973107317669562353428234857594552594925899449376328728"
+      "202461036775511405481186963193066642191664822065529414252060696836533522"
+      "387143501724276282079456797058697369889056407118642873669166717313763499"
+      "277025985141177344925615052465165938514140943010597323750202561187880136"
+      "174810574553749194614479541820148407958204853833697063267336294787191005"
+      "628217462261955103745349844675732989944229689277833828743730290177882029"
+      "042613704915899149603539993716885598351951895974316347947147507970269673"
+      "097709017164643598452451201499004104341931127294141495501309305995449742"
+      "273419524803597130450457553871345958049837885085168840317195672271085085"
+      "950520957945970913451088104971436093671776829538796532762184174216651692"
+      "640931965387852083906784898823494867055070322768919156031682291829761007"
+      "101483799978382119231551218582499361996919560548090784230386907125151658"
+      "086767207295524036170321059257942621398084478974000973622199163292708506"
+      "2431457550909271560663602154947063707982236377366647567795879936."
+      "000000");
+
+  written = __llvm_libc::sprintf(big_buff, "%Lf", 1e4900L);
+  ASSERT_STREQ_LEN(
+      written, big_buff,
+      "100000000000000000002708312230690349833224052504078834346502930111959028"
+      "517260692666637048230414374897655201843766090626319971729765251179632020"
+      "313912652522792711197087872698264530532442630109549129842736280196919130"
+      "242615101228133188193853826983121366159061148351354364472807590931218045"
+      "387490935930967150336231085015126034696883068553581691802388371635128003"
+      "615577299166097675723780877126495909902479233742826339471026068806070433"
+      "075629449530819183550315434973800271862658869400009022028602967197463980"
+      "126881829804282202449930132940824361207087494829502385835258094836304011"
+      "876250359661206802659650567866176246063987902366800491980400341950657151"
+      "370854446585517805253310195469184699955519312761482572080479702840420595"
+      "377369017651259376039167277822106875560385309101650382998482652792335482"
+      "865443482342801545877390859444282105890147577937366066315975231014810320"
+      "888482059656248277607763361589359794524314002443575149260630989130103550"
+      "443177966380769341050735632338583912575890190136462629316287947355057647"
+      "111088565611192544631519843618778618820046304429723908484879583579178075"
+      "456701368334212923379389029311286386996015804122917416008806233549005183"
+      "152461084266176543129004016414959261473645240454289630182591200574019087"
+      "358223489767381636349719510715487188747217311279465814538495924567014916"
+      "238565628036285599497236493491668884212847699052761266207598941300449276"
+      "447201387520841811835583254242213093566548778954711633721122784159793843"
+      "766802019309395771984693609426401362800013936338891483689127845928572536"
+      "790651156184721483511507878883282891696900630100211914227950790472211403"
+      "392549466062537498185758854079775888444518306635752468713312357556380082"
+      "275500658967283696421824354930077523691855699312544373220921962817907078"
+      "445538421941800259027487429330768616490865438859612697367766323925013940"
+      "918384858952407145253573823848733994146335416209309233074165707437420756"
+      "438833918763109580759409985573826485055208965115587885226774453455112406"
+      "581351429640282227888764449360534584421929291565334894907337572527922691"
+      "473242328379737396430908523008687037407295838014450772162091496534584696"
+      "605157436893236842602956298545594095307060870397506421786236892553632163"
+      "491468601982681381011940409602294892199042638682530687578982576819839451"
+      "907594697546439533559153604700750696252355362322662219852740143212566818"
+      "745528402265116534684566273868361460640280523251242059850044328669692159"
+      "629900374576027104298177006629276014371540945261309319363704125592775129"
+      "543526908667388673739382491147471395192495459318806593271282662311169392"
+      "196897003517840025298267505925987901751541005546610016067658227181318892"
+      "914686508281007582655667597441346214499847364272258631922040641860333431"
+      "409838623713258383681350233064164940590695888300919626215847587544298023"
+      "636416943680102708406086295669759876682046839368574433996997648445207805"
+      "615784339667691231286807666753972942872019850432610318031627872612657513"
+      "588188267160616660825719678199868371370527508463011236193719286066916786"
+      "169956541349011494927225747024994619057884118692213564790598702879596058"
+      "672338334720925179141906809470606964896245458600635183723159228561689808"
+      "246141482736625197373238197777325580142168245885279594913851700941789475"
+      "252421784152262567254611571822468808675893407728003047921107885664474662"
+      "930921581384003950729114103689170603748380178682003976896397305836815761"
+      "717676338115866650889936516794601457549097578905329423919798362140648664"
+      "569177147076571576101649257502509463877402424847669830852345415301684820"
+      "395813946416649808062227494112874521812750160935760825922220707178083076"
+      "380203450993589198835885505461509442443773367592842795410339065860781804"
+      "024975272228687688301824830333940416256885455008512598774611538878683158"
+      "183931461086893832255176926531299425504132104728730288984598001187854507"
+      "900417184206801359847651992484444933900133130832052346600926424167009902"
+      "829803553087005800387704758687923428053612864451456596148162238935900033"
+      "917094683141205188616000211702577553792389670853917118547527592495253773"
+      "028135298405566315903922235989614934474805789300370437580494193066066314"
+      "056627605207631392651010580925826419831250810981343093764403877594495896"
+      "516881097415880926429607388979497471571321217205535961262051641426436441"
+      "668989765107456413733909427384182109285933511623871034309722437967253289"
+      "084018145083721513211807496392673952789642893241520398827805325610653506"
+      "029060153153064455898648607959013571280930834475689835845791849456112104"
+      "462337569019001580859906425911782967213265389744605395555069797947978230"
+      "708108432086217134763779632408473684293543722127232658767439906910370146"
+      "716836295909075482355827087389127370874842532825987593970846704144140471"
+      "956027276735614286138656432085771988513977140957180090146798065497158947"
+      "229765733489703157617307078835099906185890777007500964162371428641176460"
+      "739074789794941408428328217107759915202650066155868439585510978709442590"
+      "231934194956788626761834746430104077432547436359522462253411168467463134"
+      "24896.000000");
+*/
+  /*
+    written = __llvm_libc::sprintf(buff, "%La", 0.1L);
+  #if defined(SPECIAL_X86_LONG_DOUBLE)
+    ASSERT_STREQ_LEN(written, buff, "0xc.ccccccccccccccdp-7");
+  #elif defined(LONG_DOUBLE_IS_DOUBLE)
+    ASSERT_STREQ_LEN(written, buff, "0x1.999999999999ap-4");
+  #else // 128 bit long double
+    ASSERT_STREQ_LEN(written, buff, "0x1.999999999999999999999999999ap-4");
+  #endif
+
+    written = __llvm_libc::sprintf(buff, "%La", 1.0e1000L);
+  #if defined(SPECIAL_X86_LONG_DOUBLE)
+    ASSERT_STREQ_LEN(written, buff, "0xf.38db1f9dd3dac05p+3318");
+  #elif defined(LONG_DOUBLE_IS_DOUBLE)
+    ASSERT_STREQ_LEN(written, buff, "inf");
+  #else // 128 bit long double
+    ASSERT_STREQ_LEN(written, buff, "0x1.e71b63f3ba7b580af1a52d2a7379p+3321");
+  #endif
+
+    written = __llvm_libc::sprintf(buff, "%La", 1.0e-1000L);
+  #if defined(SPECIAL_X86_LONG_DOUBLE)
+    ASSERT_STREQ_LEN(written, buff, "0x8.68a9188a89e1467p-3325");
+  #elif defined(LONG_DOUBLE_IS_DOUBLE)
+    ASSERT_STREQ_LEN(written, buff, "0x0p+0");
+  #else // 128 bit long double
+    ASSERT_STREQ_LEN(written, buff, "0x1.0d152311513c28ce202627c06ec2p-3322");
+  #endif
+  */
+
+  // Min Width Tests.
+
+  written = __llvm_libc::sprintf(buff, "%15f", 1.0);
+  ASSERT_STREQ_LEN(written, buff, "       1.000000");
+
+  written = __llvm_libc::sprintf(buff, "%15f", -1.0);
+  ASSERT_STREQ_LEN(written, buff, "      -1.000000");
+
+  written = __llvm_libc::sprintf(buff, "%15f", 1.0e5);
+  ASSERT_STREQ_LEN(written, buff, "  100000.000000");
+
+  written = __llvm_libc::sprintf(buff, "%15f", -1.0e5);
+  ASSERT_STREQ_LEN(written, buff, " -100000.000000");
+
+  written = __llvm_libc::sprintf(buff, "%10f", 1.0e5);
+  ASSERT_STREQ_LEN(written, buff, "100000.000000");
+
+  // Precision Tests.
+
+  written = __llvm_libc::sprintf(buff, "%.1f", 1.0);
+  ASSERT_STREQ_LEN(written, buff, "1.0");
+
+  written = __llvm_libc::sprintf(buff, "%.1f", 0.0);
+  ASSERT_STREQ_LEN(written, buff, "0.0");
+
+  written = __llvm_libc::sprintf(buff, "%.0f", 0.0);
+  ASSERT_STREQ_LEN(written, buff, "0");
+
+  written = __llvm_libc::sprintf(buff, "%.1f", 0.1);
+  ASSERT_STREQ_LEN(written, buff, "0.1");
+
+  written = __llvm_libc::sprintf(buff, "%.1f", 1.09);
+  ASSERT_STREQ_LEN(written, buff, "1.1");
+
+  written = __llvm_libc::sprintf(buff, "%.1f", 1.04);
+  ASSERT_STREQ_LEN(written, buff, "1.0");
+
+  written = __llvm_libc::sprintf(buff, "%.1f", 1.19);
+  ASSERT_STREQ_LEN(written, buff, "1.2");
+
+  written = __llvm_libc::sprintf(buff, "%.1f", 1.99);
+  ASSERT_STREQ_LEN(written, buff, "2.0");
+
+  written = __llvm_libc::sprintf(buff, "%.1f", 9.99);
+  ASSERT_STREQ_LEN(written, buff, "10.0");
+
+  written = __llvm_libc::sprintf(buff, "%.2f", 9999999999999.99);
+  ASSERT_STREQ_LEN(written, buff, "9999999999999.99");
+
+  written = __llvm_libc::sprintf(buff, "%.1f", 9999999999999.99);
+  ASSERT_STREQ_LEN(written, buff, "10000000000000.0");
+
+  written = __llvm_libc::sprintf(buff, "%.5f", 1.25);
+  ASSERT_STREQ_LEN(written, buff, "1.25000");
+
+  written = __llvm_libc::sprintf(buff, "%.0f", 1.25);
+  ASSERT_STREQ_LEN(written, buff, "1");
+
+  written = __llvm_libc::sprintf(buff, "%.0f", 1.75);
+  ASSERT_STREQ_LEN(written, buff, "2");
+
+  written = __llvm_libc::sprintf(buff, "%.20f", 1.234e-10);
+  ASSERT_STREQ_LEN(written, buff, "0.00000000012340000000");
+
+  written = __llvm_libc::sprintf(buff, "%.2f", -9.99);
+  ASSERT_STREQ_LEN(written, buff, "-9.99");
+
+  written = __llvm_libc::sprintf(buff, "%.1f", -9.99);
+  ASSERT_STREQ_LEN(written, buff, "-10.0");
+
+  written = __llvm_libc::sprintf(buff, "%.5f", 0.0);
+  ASSERT_STREQ_LEN(written, buff, "0.00000");
+
+  written = __llvm_libc::sprintf(buff, "%.5f", 1.008);
+  ASSERT_STREQ_LEN(written, buff, "1.00800");
+
+  written = __llvm_libc::sprintf(buff, "%.5f", 1.008e3);
+  ASSERT_STREQ_LEN(written, buff, "1008.00000");
+
+  // Subnormal Precision Tests
+
+  written = __llvm_libc::sprintf(buff, "%.310f", 0x1.0p-1022);
+  ASSERT_STREQ_LEN(
+      written, buff,
+      "0."
+      "000000000000000000000000000000000000000000000000000000000000000000000000"
+      "000000000000000000000000000000000000000000000000000000000000000000000000"
+      "000000000000000000000000000000000000000000000000000000000000000000000000"
+      "000000000000000000000000000000000000000000000000000000000000000000000000"
+      "0000000000000000000223");
+
+  written = __llvm_libc::sprintf(buff, "%.310f", 0x1.0p-1023);
+  ASSERT_STREQ_LEN(
+      written, buff,
+      "0."
+      "000000000000000000000000000000000000000000000000000000000000000000000000"
+      "000000000000000000000000000000000000000000000000000000000000000000000000"
+      "000000000000000000000000000000000000000000000000000000000000000000000000"
+      "000000000000000000000000000000000000000000000000000000000000000000000000"
+      "0000000000000000000111");
+
+  written = __llvm_libc::sprintf(buff, "%.315f", 9.99999e-310);
+  ASSERT_STREQ_LEN(
+      written, buff,
+      "0."
+      "000000000000000000000000000000000000000000000000000000000000000000000000"
+      "000000000000000000000000000000000000000000000000000000000000000000000000"
+      "000000000000000000000000000000000000000000000000000000000000000000000000"
+      "000000000000000000000000000000000000000000000000000000000000000000000000"
+      "000000000000000000000999999");
+
+  written = __llvm_libc::sprintf(buff, "%.314f", 9.99999e-310);
+  ASSERT_STREQ_LEN(
+      written, buff,
+      "0."
+      "000000000000000000000000000000000000000000000000000000000000000000000000"
+      "000000000000000000000000000000000000000000000000000000000000000000000000"
+      "000000000000000000000000000000000000000000000000000000000000000000000000"
+      "000000000000000000000000000000000000000000000000000000000000000000000000"
+      "00000000000000000000100000");
+
+  written = __llvm_libc::sprintf(buff, "%.330f", 0x1.0p-1074);
+  ASSERT_STREQ_LEN(
+      written, buff,
+      "0."
+      "000000000000000000000000000000000000000000000000000000000000000000000000"
+      "000000000000000000000000000000000000000000000000000000000000000000000000"
+      "000000000000000000000000000000000000000000000000000000000000000000000000"
+      "000000000000000000000000000000000000000000000000000000000000000000000000"
+      "000000000000000000000000000000000004940656");
+
+  /*
+    written = __llvm_libc::sprintf(buff, "%.1La", 0.1L);
+  #if defined(SPECIAL_X86_LONG_DOUBLE)
+    ASSERT_STREQ_LEN(written, buff, "0xc.dp-7");
+  #elif defined(LONG_DOUBLE_IS_DOUBLE)
+    ASSERT_STREQ_LEN(written, buff, "0x1.ap-4");
+  #else // 128 bit long double
+    ASSERT_STREQ_LEN(written, buff, "0x1.ap-4");
+  #endif
+
+    written = __llvm_libc::sprintf(buff, "%.1La", 0xf.fffffffffffffffp16380L);
+  #if defined(SPECIAL_X86_LONG_DOUBLE)
+    ASSERT_STREQ_LEN(written, buff, "0x1.0p+16384");
+  #elif defined(LONG_DOUBLE_IS_DOUBLE)
+    ASSERT_STREQ_LEN(written, buff, "inf");
+  #else // 128 bit long double
+    ASSERT_STREQ_LEN(written, buff, "0x2.0p+16383");
+  #endif
+  */
+
+  // Rounding Mode Tests.
+
+  {
+    __llvm_libc::testutils::ForceRoundingMode r(
+        __llvm_libc::testutils::RoundingMode::Nearest);
+
+    written = __llvm_libc::sprintf(buff, "%.1f", 1.75);
+    ASSERT_STREQ_LEN(written, buff, "1.8");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", 1.25);
+    ASSERT_STREQ_LEN(written, buff, "1.2");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", 1.125);
+    ASSERT_STREQ_LEN(written, buff, "1.1");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", 1.625);
+    ASSERT_STREQ_LEN(written, buff, "1.6");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", 1.375);
+    ASSERT_STREQ_LEN(written, buff, "1.4");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", 1.875);
+    ASSERT_STREQ_LEN(written, buff, "1.9");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", -1.75);
+    ASSERT_STREQ_LEN(written, buff, "-1.8");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", -1.25);
+    ASSERT_STREQ_LEN(written, buff, "-1.2");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", -1.125);
+    ASSERT_STREQ_LEN(written, buff, "-1.1");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", -1.625);
+    ASSERT_STREQ_LEN(written, buff, "-1.6");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", -1.375);
+    ASSERT_STREQ_LEN(written, buff, "-1.4");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", -1.875);
+    ASSERT_STREQ_LEN(written, buff, "-1.9");
+  }
+
+  {
+    __llvm_libc::testutils::ForceRoundingMode r(
+        __llvm_libc::testutils::RoundingMode::Upward);
+
+    written = __llvm_libc::sprintf(buff, "%.1f", 1.75);
+    ASSERT_STREQ_LEN(written, buff, "1.8");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", 1.25);
+    ASSERT_STREQ_LEN(written, buff, "1.3");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", 1.125);
+    ASSERT_STREQ_LEN(written, buff, "1.2");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", 1.625);
+    ASSERT_STREQ_LEN(written, buff, "1.7");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", 1.375);
+    ASSERT_STREQ_LEN(written, buff, "1.4");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", 1.875);
+    ASSERT_STREQ_LEN(written, buff, "1.9");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", -1.75);
+    ASSERT_STREQ_LEN(written, buff, "-1.7");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", -1.25);
+    ASSERT_STREQ_LEN(written, buff, "-1.2");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", -1.125);
+    ASSERT_STREQ_LEN(written, buff, "-1.1");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", -1.625);
+    ASSERT_STREQ_LEN(written, buff, "-1.6");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", -1.375);
+    ASSERT_STREQ_LEN(written, buff, "-1.3");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", -1.875);
+    ASSERT_STREQ_LEN(written, buff, "-1.8");
+  }
+
+  {
+    __llvm_libc::testutils::ForceRoundingMode r(
+        __llvm_libc::testutils::RoundingMode::Downward);
+
+    written = __llvm_libc::sprintf(buff, "%.1f", 1.75);
+    ASSERT_STREQ_LEN(written, buff, "1.7");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", 1.25);
+    ASSERT_STREQ_LEN(written, buff, "1.2");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", 1.125);
+    ASSERT_STREQ_LEN(written, buff, "1.1");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", 1.625);
+    ASSERT_STREQ_LEN(written, buff, "1.6");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", 1.375);
+    ASSERT_STREQ_LEN(written, buff, "1.3");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", 1.875);
+    ASSERT_STREQ_LEN(written, buff, "1.8");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", -1.75);
+    ASSERT_STREQ_LEN(written, buff, "-1.8");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", -1.25);
+    ASSERT_STREQ_LEN(written, buff, "-1.3");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", -1.125);
+    ASSERT_STREQ_LEN(written, buff, "-1.2");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", -1.625);
+    ASSERT_STREQ_LEN(written, buff, "-1.7");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", -1.375);
+    ASSERT_STREQ_LEN(written, buff, "-1.4");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", -1.875);
+    ASSERT_STREQ_LEN(written, buff, "-1.9");
+  }
+
+  {
+    __llvm_libc::testutils::ForceRoundingMode r(
+        __llvm_libc::testutils::RoundingMode::TowardZero);
+
+    written = __llvm_libc::sprintf(buff, "%.1f", 1.75);
+    ASSERT_STREQ_LEN(written, buff, "1.7");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", 1.25);
+    ASSERT_STREQ_LEN(written, buff, "1.2");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", 1.125);
+    ASSERT_STREQ_LEN(written, buff, "1.1");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", 1.625);
+    ASSERT_STREQ_LEN(written, buff, "1.6");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", 1.375);
+    ASSERT_STREQ_LEN(written, buff, "1.3");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", 1.875);
+    ASSERT_STREQ_LEN(written, buff, "1.8");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", -1.75);
+    ASSERT_STREQ_LEN(written, buff, "-1.7");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", -1.25);
+    ASSERT_STREQ_LEN(written, buff, "-1.2");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", -1.125);
+    ASSERT_STREQ_LEN(written, buff, "-1.1");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", -1.625);
+    ASSERT_STREQ_LEN(written, buff, "-1.6");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", -1.375);
+    ASSERT_STREQ_LEN(written, buff, "-1.3");
+
+    written = __llvm_libc::sprintf(buff, "%.1f", -1.875);
+    ASSERT_STREQ_LEN(written, buff, "-1.8");
+  }
+
+  // Flag Tests.
+  written = __llvm_libc::sprintf(buff, "%+f", 1.0);
+  ASSERT_STREQ_LEN(written, buff, "+1.000000");
+
+  written = __llvm_libc::sprintf(buff, "%+f", -1.0);
+  ASSERT_STREQ_LEN(written, buff, "-1.000000");
+
+  written = __llvm_libc::sprintf(buff, "% f", 1.0);
+  ASSERT_STREQ_LEN(written, buff, " 1.000000");
+
+  written = __llvm_libc::sprintf(buff, "% f", -1.0);
+  ASSERT_STREQ_LEN(written, buff, "-1.000000");
+
+  written = __llvm_libc::sprintf(buff, "%-10f", 1.5);
+  ASSERT_STREQ_LEN(written, buff, "1.500000  ");
+
+  written = __llvm_libc::sprintf(buff, "%#.f", 1.0);
+  ASSERT_STREQ_LEN(written, buff, "1.");
+
+  written = __llvm_libc::sprintf(buff, "%#.0f", 1.5);
+  ASSERT_STREQ_LEN(written, buff, "2.");
+
+  written = __llvm_libc::sprintf(buff, "%010f", 1.5);
+  ASSERT_STREQ_LEN(written, buff, "001.500000");
+
+  written = __llvm_libc::sprintf(buff, "%010f", -1.5);
+  ASSERT_STREQ_LEN(written, buff, "-01.500000");
+
+  written = __llvm_libc::sprintf(buff, "%+- #0f", 0.0);
+  ASSERT_STREQ_LEN(written, buff, "+0.000000");
+
+  // Combined Tests.
+
+  written = __llvm_libc::sprintf(buff, "%10.2f", 9.99);
+  ASSERT_STREQ_LEN(written, buff, "      9.99");
+
+  written = __llvm_libc::sprintf(buff, "%5.1f", 9.99);
+  ASSERT_STREQ_LEN(written, buff, " 10.0");
+
+  written = __llvm_libc::sprintf(buff, "%-10.2f", 9.99);
+  ASSERT_STREQ_LEN(written, buff, "9.99      ");
+
+  written = __llvm_libc::sprintf(buff, "%-5.1f", 9.99);
+  ASSERT_STREQ_LEN(written, buff, "10.0 ");
+
+  written = __llvm_libc::sprintf(buff, "%-5.1f", 1.0e-50);
+  ASSERT_STREQ_LEN(written, buff, "0.0  ");
+
+  written = __llvm_libc::sprintf(buff, "%30f", 1234567890123456789.0);
+  ASSERT_STREQ_LEN(written, buff, "    1234567890123456768.000000");
+
+  written = __llvm_libc::sprintf(buff, "%-30f", 1234567890123456789.0);
+  ASSERT_STREQ_LEN(written, buff, "1234567890123456768.000000    ");
+
+  written = __llvm_libc::sprintf(buff, "%20.2f", 9999999999999.99);
+  ASSERT_STREQ_LEN(written, buff, "    9999999999999.99");
+
+  written = __llvm_libc::sprintf(buff, "%20.1f", 9999999999999.99);
+  ASSERT_STREQ_LEN(written, buff, "    10000000000000.0");
+
+  written = __llvm_libc::sprintf(buff, "%12.3f %-12.3f", 0.1, 256.0);
+  ASSERT_STREQ_LEN(written, buff, "       0.100 256.000     ");
+
+  written = __llvm_libc::sprintf(buff, "%+-#12.3f % 012.3f", 0.1256, 1256.0);
+  ASSERT_STREQ_LEN(written, buff, "+0.126        0001256.000");
+}
 #endif // LLVM_LIBC_PRINTF_DISABLE_FLOAT
 
 #ifndef LLVM_LIBC_PRINTF_DISABLE_WRITE_INT
 TEST(LlvmLibcSPrintfTest, WriteIntConv) {
   char buff[64];
   int written;
   int test_val = -1;