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Implement some formatting options in Grisu
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@ -364,12 +364,14 @@ FMT_FUNC fp get_cached_power(int min_exponent, int &pow10_exponent) {
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return fp(data::POW10_SIGNIFICANDS[index], data::POW10_EXPONENTS[index]);
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}
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// Writes the exponent exp in the form "[-]d{1,3}" to buffer.
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// Writes the exponent exp in the form "[+-]d{1,3}" to buffer.
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FMT_FUNC char *write_exponent(char *buffer, int exp) {
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FMT_ASSERT(-1000 < exp && exp < 1000, "exponent out of range");
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if (exp < 0) {
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*buffer++ = '-';
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exp = -exp;
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} else {
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*buffer++ = '+';
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}
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if (exp >= 100) {
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*buffer++ = '0' + static_cast<char>(exp / 100);
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@ -446,25 +448,58 @@ FMT_FUNC void grisu2_gen_digits(
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// Prettifies the output of the Grisu2 algorithm.
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// The number is given as v = buffer * 10^exp.
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FMT_FUNC void grisu2_prettify(char *buffer, size_t &size, int exp) {
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FMT_FUNC void grisu2_prettify(char *buffer, size_t &size, int exp, char type,
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size_t precision, bool print_decimal_point) {
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int int_size = static_cast<int>(size);
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// 10^(full_exp - 1) <= v <= 10^full_exp.
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int full_exp = static_cast<int>(size) + exp;
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// Insert a decimal point after the first digit and add an exponent.
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std::memmove(buffer + 2, buffer + 1, size - 1);
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buffer[1] = '.';
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char *p = buffer + size + 1;
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*p++ = 'e';
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size = to_unsigned(write_exponent(p, full_exp - 1) - buffer);
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int full_exp = int_size + exp;
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if (int_size <= full_exp && full_exp <= 21) {
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// 1234e7 -> 12340000000
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std::uninitialized_fill_n(buffer + int_size, full_exp - int_size, '0');
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char *p = buffer + full_exp;
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if (print_decimal_point && size < precision) {
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*p++ = '.';
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auto fill_size = precision - size;
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std::uninitialized_fill_n(p, fill_size, '0');
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p += fill_size;
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}
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size = to_unsigned(p - buffer);
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} else if (0 < full_exp && full_exp <= 21) {
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// 1234e-2 -> 12.34
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size_t fractional_size = to_unsigned(int_size - full_exp);
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std::memmove(buffer + full_exp + 1, buffer + full_exp, fractional_size);
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buffer[full_exp] = '.';
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if (type == 'f' && fractional_size < precision) {
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size_t num_zeros = precision - fractional_size;
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std::uninitialized_fill_n(buffer + size + 1, num_zeros, '0');
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size += num_zeros;
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}
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++size;
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} else if (-6 < full_exp && full_exp <= 0) {
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// 1234e-6 -> 0.001234
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int offset = 2 - full_exp;
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std::memmove(buffer + offset, buffer, size);
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buffer[0] = '0';
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buffer[1] = '.';
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std::uninitialized_fill_n(buffer + 2, -full_exp, '0');
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size = to_unsigned(int_size + offset);
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} else {
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// Insert a decimal point after the first digit and add an exponent.
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std::memmove(buffer + 2, buffer + 1, size - 1);
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buffer[1] = '.';
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char *p = buffer + size + 1;
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*p++ = 'e';
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size = to_unsigned(write_exponent(p, full_exp - 1) - buffer);
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}
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}
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// Formats value using Grisu2 algorithm. Grisu2 doesn't give any guarantees on
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// the shortness of the result.
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FMT_FUNC void grisu2_format(double value, char *buffer, size_t &size) {
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FMT_FUNC void grisu2_format_positive(double value, char *buffer, size_t &size,
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int &dec_exp) {
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FMT_ASSERT(value > 0, "value is nonpositive");
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fp fp_value(value);
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fp lower, upper; // w^- and w^+ in the Grisu paper.
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fp_value.compute_boundaries(lower, upper);
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// Find a cached power of 10 close to 1 / upper.
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int dec_exp = 0; // K in Grisu.
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const int min_exp = -60; // alpha in Grisu.
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auto dec_pow = get_cached_power( // \tilde{c}_{-k} in Grisu.
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min_exp - (upper.e + fp::significand_size), dec_exp);
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@ -477,7 +512,28 @@ FMT_FUNC void grisu2_format(double value, char *buffer, size_t &size) {
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--scaled_upper.f; // \tilde{M}^+ - 1 ulp -> M^+_{\downarrow}.
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uint64_t delta = scaled_upper.f - scaled_lower.f;
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grisu2_gen_digits(scaled_value, scaled_upper, delta, buffer, size, dec_exp);
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grisu2_prettify(buffer, size, dec_exp);
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}
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// Formats value using Grisu2 algorithm. Grisu2 doesn't give any guarantees on
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// the shortness of the result.
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FMT_FUNC void grisu2_format(double value, char *buffer, size_t &size, char type,
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int precision, bool print_decimal_point) {
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FMT_ASSERT(value >= 0, "value is negative");
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int dec_exp = 0; // K in Grisu.
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if (value > 0) {
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grisu2_format_positive(value, buffer, size, dec_exp);
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} else {
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*buffer = '0';
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size = 1;
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}
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size_t unsigned_precision = precision >= 0 ? precision : 6;
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if (size > unsigned_precision) {
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// TODO: round instead of truncating
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dec_exp += size - unsigned_precision;
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size = unsigned_precision;
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}
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grisu2_prettify(buffer, size, dec_exp, type, unsigned_precision,
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print_decimal_point);
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}
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} // namespace internal
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@ -367,7 +367,8 @@ FMT_API fp get_cached_power(int min_exponent, int &pow10_exponent);
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// Formats value using Grisu2 algorithm:
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// https://www.cs.tufts.edu/~nr/cs257/archive/florian-loitsch/printf.pdf
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FMT_API void grisu2_format(double value, char *buffer, size_t &size);
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FMT_API void grisu2_format(double value, char *buffer, size_t &size, char type,
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int precision, bool print_decimal_point);
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template <typename Allocator>
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typename Allocator::value_type *allocate(Allocator& alloc, std::size_t n) {
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@ -2949,12 +2950,12 @@ void basic_writer<Range>::write_double(T value, const format_specs &spec) {
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basic_memory_buffer<char_type> buffer;
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if (internal::const_check(FMT_USE_GRISU && sizeof(T) <= sizeof(double) &&
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std::numeric_limits<double>::is_iec559)) {
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// The max size = 10 (hi) + 20 (lo) + 5 (exp).
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enum { BUF_SIZE = 35 };
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char buf[BUF_SIZE];
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char buf[100]; // TODO: correct buffer size
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size_t size = 0;
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internal::grisu2_format(static_cast<double>(value), buf, size);
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FMT_ASSERT(size <= BUF_SIZE, "buffer overflow");
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internal::grisu2_format(
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static_cast<double>(value), buf, size, static_cast<char>(spec.type()),
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spec.precision(), spec.flag(HASH_FLAG));
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FMT_ASSERT(size <= 100, "buffer overflow");
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buffer.append(buf, buf + size); // TODO: avoid extra copy
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} else {
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format_specs normalized_spec(spec);
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