[libc-commits] [libc] 07c0a41 - [libc] add printf decimal float conversion
Michael Jones via libc-commits
libc-commits at lists.llvm.org
Fri Oct 7 11:25:39 PDT 2022
Author: Michael Jones
Date: 2022-10-07T11:25:25-07:00
New Revision: 07c0a41b53f532902ed977589363d2ba51748e75
URL: https://github.com/llvm/llvm-project/commit/07c0a41b53f532902ed977589363d2ba51748e75
DIFF: https://github.com/llvm/llvm-project/commit/07c0a41b53f532902ed977589363d2ba51748e75.diff
LOG: [libc] add printf decimal float conversion
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
Differential Revision: https://reviews.llvm.org/D131023
Added:
libc/src/__support/float_to_string.h
libc/src/__support/ryu_constants.h
libc/src/stdio/printf_core/float_dec_converter.h
Modified:
libc/src/__support/CMakeLists.txt
libc/src/stdio/printf_core/CMakeLists.txt
libc/src/stdio/printf_core/converter.cpp
libc/src/stdio/printf_core/converter_atlas.h
libc/test/src/stdio/sprintf_test.cpp
Removed:
################################################################################
diff --git a/libc/src/__support/CMakeLists.txt b/libc/src/__support/CMakeLists.txt
index 0a159723dbc3a..77e7231c66aa0 100644
--- a/libc/src/__support/CMakeLists.txt
+++ b/libc/src/__support/CMakeLists.txt
@@ -48,6 +48,17 @@ add_header_library(
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
diff --git a/libc/src/__support/float_to_string.h b/libc/src/__support/float_to_string.h
new file mode 100644
index 0000000000000..966c6dff4a0ba
--- /dev/null
+++ b/libc/src/__support/float_to_string.h
@@ -0,0 +1,424 @@
+//===-- 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
diff --git a/libc/src/__support/ryu_constants.h b/libc/src/__support/ryu_constants.h
new file mode 100644
index 0000000000000..aff3d627e87f6
--- /dev/null
+++ b/libc/src/__support/ryu_constants.h
@@ -0,0 +1,4399 @@
+//===-- 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},
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+ {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},
+ {0u, 0u, 45753906250u},
+ {0u, 0u, 74000000000u},
+ {14878706826214591391u, 49303u, 0u},
+ {4387341015746028192u, 49303806576313u, 0u},
+ {651726680428265472u, 14106411361315920281u, 2672u},
+ {2570638187944738816u, 3609034283485221502u, 112764710092u},
+ {7419175577111756800u, 9896072247338192335u, 204195646140u},
+ {17299322326264840192u, 8889095178479228297u, 188536467151u},
+ {7990511638862102528u, 3631796911038383102u, 207481878815u},
+ {16717361816799281152u, 898318840772166823u, 31196880105u},
+ {0u, 17293677953982795024u, 233048697961u},
+ {0u, 7353628266884669440u, 105937492160u},
+ {0u, 2404693032470315008u, 192398640987u},
+ {0u, 9191155893041889280u, 91130358670u},
+ {0u, 6353946855033798656u, 142498253559u},
+ {0u, 3767824038248841216u, 247344448149u},
+ {0u, 7205759403792793600u, 149204254150u},
+ {0u, 0u, 198390625000u},
+ {0u, 0u, 232000000000u},
+ {9707857417284919307u, 752316384u, 0u},
+ {1844515466944871826u, 752316384526264005u, 0u},
+ {15167599819856275072u, 17063068157692817751u, 40783152u},
+ {14830185305589481472u, 5385330256507239985u, 48924990778u},
+ {6163721531743535104u, 3373050282752075748u, 58291939338u},
+ {14122847407012052992u, 4116064001262906061u, 10182853422u},
+ {335491783960035328u, 11306582046748043076u, 46223132276u},
+ {941252322120433664u, 17035410946089626406u, 116612931040u},
+ {11529215046068469760u, 15618595715183448558u, 224923491477u},
+ {0u, 5141740092277295680u, 149846685770u},
+ {0u, 16973644291514990592u, 74278734288u},
+ {0u, 14625255268443750400u, 208920143100u},
+ {0u, 14021170507320131584u, 252792836676u},
+ {0u, 4451355232865091584u, 68760089176u},
+ {0u, 12891553933348044800u, 88241308450u},
+ {0u, 1152921504606846976u, 34698852539u},
+ {0u, 0u, 187062500000u},
+ {0u, 0u, 160000000000u},
+ {8061591463141767016u, 11479u, 0u},
+ {16628725344207857142u, 11479437019748u, 0u},
+ {3555541870038531535u, 5562205901560339855u, 622u},
+ {18316647450161853665u, 2106077949367544134u, 110301527786u},
+ {16709574568378075648u, 7496855998374373623u, 234114170714u},
+ {7696022835795591168u, 229183437194837004u, 90406405378u},
+ {16664449640376041472u, 465169186276472889u, 2012424059u},
+ {3109186955116544000u, 2152980561625316473u, 123025216872u},
+ {10515518101817131008u, 2059790725449340402u, 104116713310u},
+ {9961962375743537152u, 17891190926410198930u, 94111661478u},
+ {9223372036854775808u, 9930696175609809814u, 166969883403u},
+ {0u, 7276914261609005312u, 11538344118u},
+ {0u, 10539762974036983808u, 182394482312u},
+ {0u, 12851089458992250880u, 136571361695u},
+ {0u, 9449311677678878720u, 159696658955u},
+ {0u, 8699564697382289408u, 11512248212u},
+ {0u, 4224376450473525248u, 148471604347u},
+ {0u, 4611686018427387904u, 123229003906u},
+ {0u, 0u, 130250000000u},
+ {0u, 0u, 128000000000u},
+ {748977172262750475u, 175162308u, 0u},
+ {15965033457315095468u, 175162308040602133u, 0u},
+ {16809402149066729206u, 13756840147955779925u, 9495567u},
+ {7563769067065700371u, 13788447602092505948u, 15745759798u},
+ {13550322810840051428u, 4972540435632173670u, 54747473242u},
+ {8663209637545764864u, 2844874687533091959u, 90269561957u},
+ {8969247575312957440u, 15377573779532804095u, 101154220965u},
+ {6193172891660451840u, 17824715805091194381u, 165833619944u},
+ {3427954273864908800u, 18277569135638159711u, 232966279779u},
+ {10058367555266936832u, 4254645803379752845u, 99990829008u},
+ {13907115649320091648u, 2933643244178200621u, 208230644811u},
+ {0u, 17188148801879487562u, 75159033118u},
+ {0u, 11069762501163246592u, 30931771413u},
+ {0u, 11676570643941818368u, 21600093027u},
+ {0u, 17840016768744030208u, 99632988162u},
+ {0u, 16463817321652158464u, 2967109246u},
+ {0u, 6954191143357644800u, 126892505325u},
+ {0u, 5080060379673919488u, 237376987457u},
+ {0u, 0u, 65275390625u},
+ {0u, 0u, 161000000000u},
+ {14106411361315920281u, 2672u, 0u},
+ {3609034283485221502u, 2672764710092u, 0u},
+ {9896072247338192335u, 16433563478020213436u, 144u},
+ {8889095178479228297u, 4194750497955655375u, 144890865261u},
+ {3631796911038383102u, 2691539602252904735u, 109227397880u},
+ {898318840772166823u, 3775467271962795241u, 248145908654u},
+ {17293677953982795024u, 16980212613224918121u, 174204668490u},
+ {7353628266884669440u, 4172857038337333440u, 74920499170u},
+ {2404693032470315008u, 5936867627376461659u, 226226211033u},
+ {9191155893041889280u, 17856837443266866062u, 217321838238u},
+ {6353946855033798656u, 8956297047799810807u, 158968021097u},
+ {3767824038248841216u, 15356974049716912789u, 105485521835u},
+ {7205759403792793600u, 6923608913322982854u, 171832503231u},
+ {0u, 4855902993563955944u, 191375329591u},
+ {0u, 13835893222288330752u, 55263239028u},
+ {0u, 9114973913760137216u, 116750045274u},
+ {0u, 17937099003422310400u, 90494123725u},
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+ {13102362262487705216u, 12271707680713669755u, 93153133984u},
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+ {11529215046068469760u, 7263351819222681214u, 29653649161u},
+ {0u, 1778055686910650944u, 9393747091u},
+ {0u, 17108187120491986944u, 147096388591u},
+ {0u, 3067636961549221888u, 239927436682u},
+ {0u, 16702141595163557888u, 138166296932u},
+ {0u, 2432053749942845440u, 100905424910u},
+ {0u, 17791470327927144448u, 14131841897u},
+ {0u, 1152921504606846976u, 105964477539u},
+ {0u, 0u, 99062500000u},
+ {0u, 0u, 160000000000u},
+ {6674960280855494694u, 93326u, 0u},
+ {16378845781483497510u, 93326361850321u, 0u},
+ {17606907750956804392u, 4283581425266273664u, 5059u},
+ {13225609159240506969u, 6725911039793895357u, 195232213414u},
+ {2668084873338435252u, 1188689198788975021u, 166364612368u},
+ {14802814305275861366u, 10825527435847761650u, 16064438970u},
+ {8005510553372365574u, 3917696829526085083u, 186586853018u},
+ {12748500143273514429u, 12646861173976387276u, 154212378770u},
+ {10393733905569036127u, 18398576063183996905u, 146685587717u},
+ {603389089974790339u, 16919251228485834948u, 5997388806u},
+ {2033494532597735873u, 17296019588687185052u, 6917194446u},
+ {9204796763694620958u, 12365301604512770359u, 206937619100u},
+ {7826260310402107021u, 2814271599679204744u, 156670324343u},
+ {10122690201685169383u, 2154994415780170517u, 119152561969u},
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+ {2805412574380520817u, 12709155755801344060u, 209364149564u},
+ {7250965427231182867u, 826847911966403896u, 60688964714u},
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+ {2030047207417538097u, 6735665673159411439u, 135068788782u},
+ {11557093828502314355u, 14734771742997073207u, 46365141167u},
+ {15201062539664128543u, 13683287077957612495u, 175798773576u},
+ {8846936323343880674u, 15370263741354826803u, 72741772478u},
+ {1485291750116245364u, 48035913070297507u, 190833223667u},
+ {2076024439668322013u, 1206547475966802115u, 243002604032u},
+ {7029497773682748741u, 13512340386605768006u, 65407069u},
+ {16333533921668749881u, 2325760467700278797u, 93732505440u},
+ {2065057316131928423u, 10848110652847753816u, 96126079727u},
+ {7800502648925570223u, 15846378960784301285u, 239588077256u},
+ {17011619967093802015u, 14121839924449844911u, 200859033924u},
+ {5368819344429198672u, 5147613424753296550u, 68765546476u},
+ {15598879366754275267u, 16817040482828810167u, 236279052682u},
+ {16393893486035835647u, 5773528746119363888u, 138911653591u},
+ {12042046205096920307u, 8716201595536184826u, 215312983620u},
+ {15437070428008474344u, 5259122109038474872u, 68472506235u},
+ {13704569163204647509u, 14744540084230155984u, 123285097580u},
+ {18192483750856993350u, 10719345477982635878u, 108799303119u},
+ {5152535865317963250u, 13698037261310555208u, 207581096882u},
+ {17512614083933854680u, 16141171632951976936u, 178742572087u},
+ {14481918350603613536u, 10060790174955808839u, 55875014667u},
+ {16124419709964004915u, 4250043307981877118u, 11545396528u},
+ {18088011566435813579u, 7075646198054337199u, 48230395309u},
+ {15008862380698848893u, 18141738384245531503u, 173383571548u},
+ {18160498644611827812u, 8174370508376809531u, 92983465608u},
+ {3604680497457231965u, 3581964982731575596u, 136443133513u},
+ {5957615565551495921u, 14798509948722114761u, 73194178710u},
+ {17528455034961565995u, 14713923334885122090u, 150802228831u},
+ {8503772325120113809u, 5042978054260414139u, 95797643382u},
+ {8501492578048509537u, 2052996319372883413u, 118273380388u},
+ {2296237701094386060u, 8825683007899981588u, 36111293153u},
+ {3753593040591076946u, 9992196755378745151u, 225478441234u},
+ {8518075399775653155u, 9301073417573669950u, 18541678071u},
+ {12757855675959554597u, 5331614769144850592u, 247504212200u},
+ {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
diff --git a/libc/src/stdio/printf_core/CMakeLists.txt b/libc/src/stdio/printf_core/CMakeLists.txt
index ced63686e4424..8cd6743a029ca 100644
--- a/libc/src/stdio/printf_core/CMakeLists.txt
+++ b/libc/src/stdio/printf_core/CMakeLists.txt
@@ -59,6 +59,7 @@ add_object_library(
write_int_converter.h
float_inf_nan_converter.h
float_hex_converter.h
+ float_dec_converter.h
DEPENDS
.writer
.core_structs
@@ -67,7 +68,10 @@ add_object_library(
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
)
diff --git a/libc/src/stdio/printf_core/converter.cpp b/libc/src/stdio/printf_core/converter.cpp
index 597e75553bfb0..458d86b00d1d4 100644
--- a/libc/src/stdio/printf_core/converter.cpp
+++ b/libc/src/stdio/printf_core/converter.cpp
@@ -43,9 +43,9 @@ int convert(Writer *writer, const FormatSection &to_conv) {
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);
diff --git a/libc/src/stdio/printf_core/converter_atlas.h b/libc/src/stdio/printf_core/converter_atlas.h
index 96ad0bcdfd4e2..2ad0c726af010 100644
--- a/libc/src/stdio/printf_core/converter_atlas.h
+++ b/libc/src/stdio/printf_core/converter_atlas.h
@@ -24,6 +24,7 @@
#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"
diff --git a/libc/src/stdio/printf_core/float_dec_converter.h b/libc/src/stdio/printf_core/float_dec_converter.h
new file mode 100644
index 0000000000000..c0af675ed44b8
--- /dev/null
+++ b/libc/src/stdio/printf_core/float_dec_converter.h
@@ -0,0 +1,480 @@
+//===-- 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
diff --git a/libc/test/src/stdio/sprintf_test.cpp b/libc/test/src/stdio/sprintf_test.cpp
index 1a7095a8ede14..73bad738b03e3 100644
--- a/libc/test/src/stdio/sprintf_test.cpp
+++ b/libc/test/src/stdio/sprintf_test.cpp
@@ -15,7 +15,7 @@
class LlvmLibcSPrintfTest : public __llvm_libc::testing::Test {
protected:
- char buff[64];
+ char buff[1000];
int written;
};
@@ -859,6 +859,586 @@ TEST_F(LlvmLibcSPrintfTest, FloatHexExpConv) {
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
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