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599e0aef45
@ -422,6 +422,18 @@ class fp {
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lower.f <<= lower.e - upper.e;
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lower.e = upper.e;
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}
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void compute_float_boundaries(fp& lower, fp& upper) const {
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constexpr int min_normal_e = std::numeric_limits<float>::min_exponent -
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std::numeric_limits<double>::digits;
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significand_type half_ulp = 1 << (std::numeric_limits<double>::digits -
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std::numeric_limits<float>::digits - 1);
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if (min_normal_e > e) half_ulp <<= min_normal_e - e;
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upper = normalize<0>(fp(f + half_ulp, e));
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lower = fp(f - (half_ulp >> (f == implicit_bit && e > min_normal_e)), e);
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lower.f <<= lower.e - upper.e;
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lower.e = upper.e;
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}
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};
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// Returns an fp number representing x - y. Result may not be normalized.
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@ -1046,7 +1058,11 @@ bool grisu_format(Double value, buffer<char>& buf, int precision,
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buf.resize(to_unsigned(handler.size));
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} else {
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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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if ((options & grisu_options::binary32) != 0)
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fp_value.compute_float_boundaries(lower, upper);
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else
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fp_value.compute_boundaries(lower, upper);
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// Find a cached power of 10 such that multiplying upper by it will bring
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// the exponent in the range [min_exp, -32].
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const auto cached_pow = get_cached_power( // \tilde{c}_{-k} in Grisu.
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@ -1111,7 +1111,7 @@ It grisu_prettify(const char* digits, int size, int exp, It it,
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}
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namespace grisu_options {
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enum { fixed = 1, grisu2 = 2 };
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enum { fixed = 1, grisu2 = 2, binary32 = 4 };
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}
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// Formats value using the Grisu algorithm:
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@ -2809,12 +2809,16 @@ void internal::basic_writer<Range>::write_fp(T value,
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memory_buffer buffer;
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int exp = 0;
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int precision = specs.precision >= 0 || !specs.type ? specs.precision : 6;
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unsigned options = 0;
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if (handler.fixed) options |= internal::grisu_options::fixed;
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if (sizeof(value) == sizeof(float))
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options |= internal::grisu_options::binary32;
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bool use_grisu = USE_GRISU &&
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(specs.type != 'a' && specs.type != 'A' &&
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specs.type != 'e' && specs.type != 'E') &&
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internal::grisu_format(
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static_cast<double>(value), buffer, precision,
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handler.fixed ? internal::grisu_options::fixed : 0, exp);
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options, exp);
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char* decimal_point_pos = nullptr;
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if (!use_grisu)
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decimal_point_pos = internal::sprintf_format(value, buffer, specs);
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@ -221,6 +221,36 @@ TEST(FPTest, ComputeBoundaries) {
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EXPECT_EQ(31, upper.e);
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}
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TEST(FPTest, ComputeFloatBoundaries) {
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struct {
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double x, lower, upper;
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} tests[] = {
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// regular
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{1.5f, 1.4999999403953552, 1.5000000596046448},
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// boundary
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{1.0f, 0.9999999701976776, 1.0000000596046448},
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// min normal
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{1.1754944e-38f, 1.1754942807573643e-38, 1.1754944208872107e-38},
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// max subnormal
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{1.1754942e-38f, 1.1754941406275179e-38, 1.1754942807573643e-38},
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// min subnormal
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{1e-45f, 7.006492321624085e-46, 2.1019476964872256e-45},
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};
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for (auto test : tests) {
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auto v = fp(test.x);
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fp vlower = normalize(fp(test.lower));
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fp vupper = normalize(fp(test.upper));
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vlower.f >>= vupper.e - vlower.e;
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vlower.e = vupper.e;
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fp lower, upper;
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v.compute_float_boundaries(lower, upper);
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EXPECT_EQ(vlower.f, lower.f);
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EXPECT_EQ(vlower.e, lower.e);
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EXPECT_EQ(vupper.f, upper.f);
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EXPECT_EQ(vupper.e, upper.e);
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}
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}
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TEST(FPTest, Subtract) {
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auto v = fp(123, 1) - fp(102, 1);
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EXPECT_EQ(v.f, 21u);
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@ -52,6 +52,8 @@ TEST(GrisuTest, Prettify) {
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EXPECT_EQ("12340000000.0", fmt::format("{}", 1234e7));
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EXPECT_EQ("12.34", fmt::format("{}", 1234e-2));
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EXPECT_EQ("0.001234", fmt::format("{}", 1234e-6));
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EXPECT_EQ("0.1", fmt::format("{}", 0.1f));
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EXPECT_EQ("0.10000000149011612", fmt::format("{}", double(0.1f)));
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}
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TEST(GrisuTest, ZeroPrecision) { EXPECT_EQ("1", fmt::format("{:.0}", 1.0)); }
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