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Refactor normalize and clean up
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@ -245,7 +245,7 @@ struct int128_t {};
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struct uint128_t {};
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#endif
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// Casts nonnegative integer to unsigned.
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// Casts a nonnegative integer to unsigned.
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template <typename Int>
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FMT_CONSTEXPR typename std::make_unsigned<Int>::type to_unsigned(Int value) {
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FMT_ASSERT(value >= 0, "negative value");
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@ -49,9 +49,6 @@
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# pragma warning(push)
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# pragma warning(disable : 4127) // conditional expression is constant
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# pragma warning(disable : 4702) // unreachable code
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// Disable deprecation warning for strerror. The latter is not called but
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// MSVC fails to detect it.
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# pragma warning(disable : 4996)
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#endif
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// Dummy implementations of strerror_r and strerror_s called if corresponding
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@ -81,7 +78,7 @@ inline int fmt_snprintf(char* buffer, size_t size, const char* format, ...) {
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using format_func = void (*)(internal::buffer<char>&, int, string_view);
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// Portable thread-safe version of strerror.
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// A portable thread-safe version of strerror.
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// Sets buffer to point to a string describing the error code.
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// This can be either a pointer to a string stored in buffer,
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// or a pointer to some static immutable string.
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@ -352,6 +349,9 @@ template <typename T> struct bits {
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static_cast<int>(sizeof(T) * std::numeric_limits<unsigned char>::digits);
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};
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class fp;
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template <int SHIFT = 0> fp normalize(fp value);
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// A handmade floating-point number f * pow(2, e).
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class fp {
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private:
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@ -396,28 +396,29 @@ class fp {
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}
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// Normalizes the value converted from double and multiplied by (1 << SHIFT).
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template <int SHIFT = 0> void normalize() {
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template <int SHIFT> friend fp normalize(fp value) {
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// Handle subnormals.
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auto shifted_implicit_bit = implicit_bit << SHIFT;
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while ((f & shifted_implicit_bit) == 0) {
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f <<= 1;
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--e;
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const auto shifted_implicit_bit = implicit_bit << SHIFT;
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while ((value.f & shifted_implicit_bit) == 0) {
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value.f <<= 1;
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--value.e;
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}
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// Subtract 1 to account for hidden bit.
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auto offset = significand_size - double_significand_size - SHIFT - 1;
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f <<= offset;
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e -= offset;
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const auto offset = significand_size - double_significand_size - SHIFT - 1;
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value.f <<= offset;
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value.e -= offset;
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return value;
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}
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// Compute lower and upper boundaries (m^- and m^+ in the Grisu paper), where
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// Computes lower and upper boundaries (m^- and m^+ in the Grisu paper), where
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// a boundary is a value half way between the number and its predecessor
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// (lower) or successor (upper). The upper boundary is normalized and lower
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// has the same exponent but may be not normalized.
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void compute_boundaries(fp& lower, fp& upper) const {
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lower =
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f == implicit_bit ? fp((f << 2) - 1, e - 2) : fp((f << 1) - 1, e - 1);
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upper = fp((f << 1) + 1, e - 1);
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upper.normalize<1>(); // 1 is to account for the exponent shift above.
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// 1 in normalize accounts for the exponent shift above.
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upper = normalize<1>(fp((f << 1) + 1, e - 1));
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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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@ -716,7 +717,7 @@ template <typename Double,
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FMT_API bool grisu_format(Double value, buffer<char>& buf, int precision,
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unsigned options, int& exp) {
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FMT_ASSERT(value >= 0, "value is negative");
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bool fixed = (options & grisu_options::fixed) != 0;
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const bool fixed = (options & grisu_options::fixed) != 0;
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if (value <= 0) { // <= instead of == to silence a warning.
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if (precision <= 0 || !fixed) {
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exp = 0;
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@ -729,17 +730,17 @@ FMT_API bool grisu_format(Double value, buffer<char>& buf, int precision,
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return true;
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}
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fp fp_value(value);
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const fp fp_value(value);
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const int min_exp = -60; // alpha in Grisu.
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int cached_exp10 = 0; // K in Grisu.
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if (precision != -1) {
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if (precision > 17) return false;
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fp_value.normalize();
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fp normalized = normalize(fp_value);
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const auto cached_pow = get_cached_power(
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min_exp - (fp_value.e + fp::significand_size), cached_exp10);
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fp_value = fp_value * cached_pow;
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min_exp - (normalized.e + fp::significand_size), cached_exp10);
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normalized = normalized * cached_pow;
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fixed_handler handler{buf.data(), 0, precision, -cached_exp10, fixed};
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if (grisu_gen_digits(fp_value, 1, exp, handler) == digits::error)
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if (grisu_gen_digits(normalized, 1, exp, handler) == digits::error)
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return false;
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buf.resize(to_unsigned(handler.size));
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} else {
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@ -747,10 +748,10 @@ FMT_API bool grisu_format(Double value, buffer<char>& buf, int precision,
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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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auto cached_pow = get_cached_power( // \tilde{c}_{-k} in Grisu.
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const auto cached_pow = get_cached_power( // \tilde{c}_{-k} in Grisu.
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min_exp - (upper.e + fp::significand_size), cached_exp10);
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fp_value.normalize();
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fp_value = fp_value * cached_pow;
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fp normalized = normalize(fp_value);
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normalized = normalized * cached_pow;
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lower = lower * cached_pow; // \tilde{M}^- in Grisu.
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upper = upper * cached_pow; // \tilde{M}^+ in Grisu.
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assert(min_exp <= upper.e && upper.e <= -32);
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@ -760,7 +761,7 @@ FMT_API bool grisu_format(Double value, buffer<char>& buf, int precision,
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--lower.f; // \tilde{M}^- - 1 ulp -> M^-_{\downarrow}.
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++upper.f; // \tilde{M}^+ + 1 ulp -> M^+_{\uparrow}.
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// Numbers outside of (lower, upper) definitely do not round to value.
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grisu_shortest_handler<3> handler{buf.data(), 0, (upper - fp_value).f};
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grisu_shortest_handler<3> handler{buf.data(), 0, (upper - normalized).f};
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result = grisu_gen_digits(upper, upper.f - lower.f, exp, handler);
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size = handler.size;
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if (result == digits::error) {
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@ -48,10 +48,10 @@ TEST(FPTest, ConstructFromDouble) {
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}
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TEST(FPTest, Normalize) {
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auto v = fp(0xbeef, 42);
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v.normalize();
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EXPECT_EQ(0xbeef000000000000, v.f);
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EXPECT_EQ(-6, v.e);
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const auto v = fp(0xbeef, 42);
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auto normalized = normalize(v);
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EXPECT_EQ(0xbeef000000000000, normalized.f);
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EXPECT_EQ(-6, normalized.e);
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}
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TEST(FPTest, ComputeBoundariesSubnormal) {
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